Project import
diff --git a/libm/Android.bp b/libm/Android.bp
new file mode 100644
index 0000000..23b9d5e
--- /dev/null
+++ b/libm/Android.bp
@@ -0,0 +1,533 @@
+bionic_coverage = false
+
+//
+// libm.so and libm.a for target.
+//
+cc_library {
+ name: "libm",
+
+ srcs: [
+ "upstream-freebsd/lib/msun/bsdsrc/b_exp.c",
+ "upstream-freebsd/lib/msun/bsdsrc/b_log.c",
+ "upstream-freebsd/lib/msun/bsdsrc/b_tgamma.c",
+ "upstream-freebsd/lib/msun/src/catrig.c",
+ "upstream-freebsd/lib/msun/src/catrigf.c",
+ "upstream-freebsd/lib/msun/src/e_acos.c",
+ "upstream-freebsd/lib/msun/src/e_acosf.c",
+ "upstream-freebsd/lib/msun/src/e_acosh.c",
+ "upstream-freebsd/lib/msun/src/e_acoshf.c",
+ "upstream-freebsd/lib/msun/src/e_asin.c",
+ "upstream-freebsd/lib/msun/src/e_asinf.c",
+ "upstream-freebsd/lib/msun/src/e_atan2.c",
+ "upstream-freebsd/lib/msun/src/e_atan2f.c",
+ "upstream-freebsd/lib/msun/src/e_atanh.c",
+ "upstream-freebsd/lib/msun/src/e_atanhf.c",
+ "upstream-freebsd/lib/msun/src/e_cosh.c",
+ "upstream-freebsd/lib/msun/src/e_coshf.c",
+ "upstream-freebsd/lib/msun/src/e_exp.c",
+ "upstream-freebsd/lib/msun/src/e_expf.c",
+ "upstream-freebsd/lib/msun/src/e_fmod.c",
+ "upstream-freebsd/lib/msun/src/e_fmodf.c",
+ "upstream-freebsd/lib/msun/src/e_gamma.c",
+ "upstream-freebsd/lib/msun/src/e_gammaf.c",
+ "upstream-freebsd/lib/msun/src/e_gammaf_r.c",
+ "upstream-freebsd/lib/msun/src/e_gamma_r.c",
+ "upstream-freebsd/lib/msun/src/e_hypot.c",
+ "upstream-freebsd/lib/msun/src/e_hypotf.c",
+ "upstream-freebsd/lib/msun/src/e_j0.c",
+ "upstream-freebsd/lib/msun/src/e_j0f.c",
+ "upstream-freebsd/lib/msun/src/e_j1.c",
+ "upstream-freebsd/lib/msun/src/e_j1f.c",
+ "upstream-freebsd/lib/msun/src/e_jn.c",
+ "upstream-freebsd/lib/msun/src/e_jnf.c",
+ "upstream-freebsd/lib/msun/src/e_lgamma.c",
+ "upstream-freebsd/lib/msun/src/e_lgammaf.c",
+ "upstream-freebsd/lib/msun/src/e_lgammaf_r.c",
+ "upstream-freebsd/lib/msun/src/e_lgamma_r.c",
+ "upstream-freebsd/lib/msun/src/e_log10.c",
+ "upstream-freebsd/lib/msun/src/e_log10f.c",
+ "upstream-freebsd/lib/msun/src/e_log2.c",
+ "upstream-freebsd/lib/msun/src/e_log2f.c",
+ "upstream-freebsd/lib/msun/src/e_log.c",
+ "upstream-freebsd/lib/msun/src/e_logf.c",
+ "upstream-freebsd/lib/msun/src/e_pow.c",
+ "upstream-freebsd/lib/msun/src/e_powf.c",
+ "upstream-freebsd/lib/msun/src/e_remainder.c",
+ "upstream-freebsd/lib/msun/src/e_remainderf.c",
+ "upstream-freebsd/lib/msun/src/e_rem_pio2.c",
+ "upstream-freebsd/lib/msun/src/e_rem_pio2f.c",
+ "upstream-freebsd/lib/msun/src/e_scalb.c",
+ "upstream-freebsd/lib/msun/src/e_scalbf.c",
+ "upstream-freebsd/lib/msun/src/e_sinh.c",
+ "upstream-freebsd/lib/msun/src/e_sinhf.c",
+ "upstream-freebsd/lib/msun/src/e_sqrt.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtf.c",
+ "upstream-freebsd/lib/msun/src/imprecise.c",
+ "upstream-freebsd/lib/msun/src/k_cos.c",
+ "upstream-freebsd/lib/msun/src/k_cosf.c",
+ "upstream-freebsd/lib/msun/src/k_exp.c",
+ "upstream-freebsd/lib/msun/src/k_expf.c",
+ "upstream-freebsd/lib/msun/src/k_rem_pio2.c",
+ "upstream-freebsd/lib/msun/src/k_sin.c",
+ "upstream-freebsd/lib/msun/src/k_sinf.c",
+ "upstream-freebsd/lib/msun/src/k_tan.c",
+ "upstream-freebsd/lib/msun/src/k_tanf.c",
+ "upstream-freebsd/lib/msun/src/s_asinh.c",
+ "upstream-freebsd/lib/msun/src/s_asinhf.c",
+ "upstream-freebsd/lib/msun/src/s_atan.c",
+ "upstream-freebsd/lib/msun/src/s_atanf.c",
+ "upstream-freebsd/lib/msun/src/s_carg.c",
+ "upstream-freebsd/lib/msun/src/s_cargf.c",
+ "upstream-freebsd/lib/msun/src/s_cargl.c",
+ "upstream-freebsd/lib/msun/src/s_cbrt.c",
+ "upstream-freebsd/lib/msun/src/s_cbrtf.c",
+ "upstream-freebsd/lib/msun/src/s_ccosh.c",
+ "upstream-freebsd/lib/msun/src/s_ccoshf.c",
+ "upstream-freebsd/lib/msun/src/s_ceil.c",
+ "upstream-freebsd/lib/msun/src/s_ceilf.c",
+ "upstream-freebsd/lib/msun/src/s_cexp.c",
+ "upstream-freebsd/lib/msun/src/s_cexpf.c",
+ "upstream-freebsd/lib/msun/src/s_cimag.c",
+ "upstream-freebsd/lib/msun/src/s_cimagf.c",
+ "upstream-freebsd/lib/msun/src/s_cimagl.c",
+ "upstream-freebsd/lib/msun/src/s_conj.c",
+ "upstream-freebsd/lib/msun/src/s_conjf.c",
+ "upstream-freebsd/lib/msun/src/s_conjl.c",
+ "upstream-freebsd/lib/msun/src/s_copysign.c",
+ "upstream-freebsd/lib/msun/src/s_copysignf.c",
+ "upstream-freebsd/lib/msun/src/s_cos.c",
+ "upstream-freebsd/lib/msun/src/s_cosf.c",
+ "upstream-freebsd/lib/msun/src/s_cproj.c",
+ "upstream-freebsd/lib/msun/src/s_cprojf.c",
+ "upstream-freebsd/lib/msun/src/s_cprojl.c",
+ "upstream-freebsd/lib/msun/src/s_creal.c",
+ "upstream-freebsd/lib/msun/src/s_crealf.c",
+ "upstream-freebsd/lib/msun/src/s_creall.c",
+ "upstream-freebsd/lib/msun/src/s_csinh.c",
+ "upstream-freebsd/lib/msun/src/s_csinhf.c",
+ "upstream-freebsd/lib/msun/src/s_csqrt.c",
+ "upstream-freebsd/lib/msun/src/s_csqrtf.c",
+ "upstream-freebsd/lib/msun/src/s_csqrtl.c",
+ "upstream-freebsd/lib/msun/src/s_ctanh.c",
+ "upstream-freebsd/lib/msun/src/s_ctanhf.c",
+ "upstream-freebsd/lib/msun/src/s_erf.c",
+ "upstream-freebsd/lib/msun/src/s_erff.c",
+ "upstream-freebsd/lib/msun/src/s_exp2.c",
+ "upstream-freebsd/lib/msun/src/s_exp2f.c",
+ "upstream-freebsd/lib/msun/src/s_expm1.c",
+ "upstream-freebsd/lib/msun/src/s_expm1f.c",
+ "upstream-freebsd/lib/msun/src/s_fdim.c",
+ "upstream-freebsd/lib/msun/src/s_finite.c",
+ "upstream-freebsd/lib/msun/src/s_finitef.c",
+ "upstream-freebsd/lib/msun/src/s_floor.c",
+ "upstream-freebsd/lib/msun/src/s_floorf.c",
+ "upstream-freebsd/lib/msun/src/s_fma.c",
+ "upstream-freebsd/lib/msun/src/s_fmaf.c",
+ "upstream-freebsd/lib/msun/src/s_fmax.c",
+ "upstream-freebsd/lib/msun/src/s_fmaxf.c",
+ "upstream-freebsd/lib/msun/src/s_fmin.c",
+ "upstream-freebsd/lib/msun/src/s_fminf.c",
+ "upstream-freebsd/lib/msun/src/s_frexp.c",
+ "upstream-freebsd/lib/msun/src/s_frexpf.c",
+ "upstream-freebsd/lib/msun/src/s_ilogb.c",
+ "upstream-freebsd/lib/msun/src/s_ilogbf.c",
+ "upstream-freebsd/lib/msun/src/s_llrint.c",
+ "upstream-freebsd/lib/msun/src/s_llrintf.c",
+ "upstream-freebsd/lib/msun/src/s_llround.c",
+ "upstream-freebsd/lib/msun/src/s_llroundf.c",
+ "upstream-freebsd/lib/msun/src/s_log1p.c",
+ "upstream-freebsd/lib/msun/src/s_log1pf.c",
+ "upstream-freebsd/lib/msun/src/s_logb.c",
+ "upstream-freebsd/lib/msun/src/s_logbf.c",
+ "upstream-freebsd/lib/msun/src/s_lrint.c",
+ "upstream-freebsd/lib/msun/src/s_lrintf.c",
+ "upstream-freebsd/lib/msun/src/s_lround.c",
+ "upstream-freebsd/lib/msun/src/s_lroundf.c",
+ "upstream-freebsd/lib/msun/src/s_modf.c",
+ "upstream-freebsd/lib/msun/src/s_modff.c",
+ "upstream-freebsd/lib/msun/src/s_nan.c",
+ "upstream-freebsd/lib/msun/src/s_nearbyint.c",
+ "upstream-freebsd/lib/msun/src/s_nextafter.c",
+ "upstream-freebsd/lib/msun/src/s_nextafterf.c",
+ "upstream-freebsd/lib/msun/src/s_remquo.c",
+ "upstream-freebsd/lib/msun/src/s_remquof.c",
+ "upstream-freebsd/lib/msun/src/s_rint.c",
+ "upstream-freebsd/lib/msun/src/s_rintf.c",
+ "upstream-freebsd/lib/msun/src/s_round.c",
+ "upstream-freebsd/lib/msun/src/s_roundf.c",
+ "upstream-freebsd/lib/msun/src/s_scalbln.c",
+ "upstream-freebsd/lib/msun/src/s_scalbn.c",
+ "upstream-freebsd/lib/msun/src/s_scalbnf.c",
+ "upstream-freebsd/lib/msun/src/s_signgam.c",
+ "upstream-freebsd/lib/msun/src/s_significand.c",
+ "upstream-freebsd/lib/msun/src/s_significandf.c",
+ "upstream-freebsd/lib/msun/src/s_sin.c",
+ "upstream-freebsd/lib/msun/src/s_sinf.c",
+ "upstream-freebsd/lib/msun/src/s_tan.c",
+ "upstream-freebsd/lib/msun/src/s_tanf.c",
+ "upstream-freebsd/lib/msun/src/s_tanh.c",
+ "upstream-freebsd/lib/msun/src/s_tanhf.c",
+ "upstream-freebsd/lib/msun/src/s_tgammaf.c",
+ "upstream-freebsd/lib/msun/src/s_trunc.c",
+ "upstream-freebsd/lib/msun/src/s_truncf.c",
+ "upstream-freebsd/lib/msun/src/w_cabs.c",
+ "upstream-freebsd/lib/msun/src/w_cabsf.c",
+ "upstream-freebsd/lib/msun/src/w_cabsl.c",
+ "upstream-freebsd/lib/msun/src/w_drem.c",
+ "upstream-freebsd/lib/msun/src/w_dremf.c",
+
+ // The FreeBSD complex functions appear to be better, but they're incomplete.
+ // We take the FreeBSD implementations when they exist, but fill out the rest
+ // of <complex.h> from NetBSD...
+ "upstream-netbsd/lib/libm/complex/cacoshl.c",
+ "upstream-netbsd/lib/libm/complex/cacosl.c",
+ "upstream-netbsd/lib/libm/complex/casinhl.c",
+ "upstream-netbsd/lib/libm/complex/casinl.c",
+ "upstream-netbsd/lib/libm/complex/catanhl.c",
+ "upstream-netbsd/lib/libm/complex/catanl.c",
+ "upstream-netbsd/lib/libm/complex/ccoshl.c",
+ "upstream-netbsd/lib/libm/complex/ccosl.c",
+ "upstream-netbsd/lib/libm/complex/cephes_subrl.c",
+ "upstream-netbsd/lib/libm/complex/cexpl.c",
+ "upstream-netbsd/lib/libm/complex/clog.c",
+ "upstream-netbsd/lib/libm/complex/clogf.c",
+ "upstream-netbsd/lib/libm/complex/clogl.c",
+ "upstream-netbsd/lib/libm/complex/cpow.c",
+ "upstream-netbsd/lib/libm/complex/cpowf.c",
+ "upstream-netbsd/lib/libm/complex/cpowl.c",
+ "upstream-netbsd/lib/libm/complex/csinhl.c",
+ "upstream-netbsd/lib/libm/complex/csinl.c",
+ "upstream-netbsd/lib/libm/complex/ctanhl.c",
+ "upstream-netbsd/lib/libm/complex/ctanl.c",
+
+ // TODO: this comes from from upstream's libc, not libm, but it's an
+ // implementation detail that should have hidden visibility, so it needs
+ // to be in whatever library the math code is in.
+ "digittoint.c",
+
+ // Functionality not in the BSDs.
+ "significandl.c",
+ "sincos.c",
+
+ // Modified versions of BSD code.
+ "signbit.c",
+
+ // Home-grown stuff.
+ "fabs.cpp",
+ ],
+
+ multilib: {
+ lib32: {
+ srcs: ["fake_long_double.c"],
+ },
+
+ lib64: {
+ srcs: [
+ "upstream-freebsd/lib/msun/src/e_acosl.c",
+ "upstream-freebsd/lib/msun/src/e_acoshl.c",
+ "upstream-freebsd/lib/msun/src/e_asinl.c",
+ "upstream-freebsd/lib/msun/src/e_atan2l.c",
+ "upstream-freebsd/lib/msun/src/e_atanhl.c",
+ "upstream-freebsd/lib/msun/src/e_fmodl.c",
+ "upstream-freebsd/lib/msun/src/e_hypotl.c",
+ "upstream-freebsd/lib/msun/src/e_lgammal.c",
+ "upstream-freebsd/lib/msun/src/e_remainderl.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtl.c",
+ "upstream-freebsd/lib/msun/src/s_asinhl.c",
+ "upstream-freebsd/lib/msun/src/s_atanl.c",
+ "upstream-freebsd/lib/msun/src/s_cbrtl.c",
+ "upstream-freebsd/lib/msun/src/s_ceill.c",
+ "upstream-freebsd/lib/msun/src/s_copysignl.c",
+ "upstream-freebsd/lib/msun/src/e_coshl.c",
+ "upstream-freebsd/lib/msun/src/s_cosl.c",
+ "upstream-freebsd/lib/msun/src/s_floorl.c",
+ "upstream-freebsd/lib/msun/src/s_fmal.c",
+ "upstream-freebsd/lib/msun/src/s_fmaxl.c",
+ "upstream-freebsd/lib/msun/src/s_fminl.c",
+ "upstream-freebsd/lib/msun/src/s_modfl.c",
+ "upstream-freebsd/lib/msun/src/s_frexpl.c",
+ "upstream-freebsd/lib/msun/src/s_ilogbl.c",
+ "upstream-freebsd/lib/msun/src/s_llrintl.c",
+ "upstream-freebsd/lib/msun/src/s_llroundl.c",
+ "upstream-freebsd/lib/msun/src/s_logbl.c",
+ "upstream-freebsd/lib/msun/src/s_lrintl.c",
+ "upstream-freebsd/lib/msun/src/s_lroundl.c",
+ "upstream-freebsd/lib/msun/src/s_nextafterl.c",
+ "upstream-freebsd/lib/msun/src/s_nexttoward.c",
+ "upstream-freebsd/lib/msun/src/s_nexttowardf.c",
+ "upstream-freebsd/lib/msun/src/s_remquol.c",
+ "upstream-freebsd/lib/msun/src/s_rintl.c",
+ "upstream-freebsd/lib/msun/src/s_roundl.c",
+ "upstream-freebsd/lib/msun/src/s_scalbnl.c",
+ "upstream-freebsd/lib/msun/src/e_sinhl.c",
+ "upstream-freebsd/lib/msun/src/s_sinl.c",
+ "upstream-freebsd/lib/msun/src/s_tanhl.c",
+ "upstream-freebsd/lib/msun/src/s_tanl.c",
+ "upstream-freebsd/lib/msun/src/s_truncl.c",
+
+ "upstream-freebsd/lib/msun/ld128/invtrig.c",
+ "upstream-freebsd/lib/msun/ld128/e_lgammal_r.c",
+ "upstream-freebsd/lib/msun/ld128/k_cosl.c",
+ "upstream-freebsd/lib/msun/ld128/k_sinl.c",
+ "upstream-freebsd/lib/msun/ld128/k_tanl.c",
+ "upstream-freebsd/lib/msun/ld128/s_erfl.c",
+ "upstream-freebsd/lib/msun/ld128/s_exp2l.c",
+ "upstream-freebsd/lib/msun/ld128/s_expl.c",
+ "upstream-freebsd/lib/msun/ld128/s_logl.c",
+ "upstream-freebsd/lib/msun/ld128/s_nanl.c",
+ ],
+ local_include_dirs: ["upstream-freebsd/lib/msun/ld128/"],
+ },
+ },
+
+ // arch-specific settings
+ arch: {
+ arm: {
+ srcs: [
+ "arm/fenv.c",
+ ],
+ armv7_a_neon: {
+ srcs: [
+ "arm/sqrt.S",
+ "arm/floor.S",
+ ],
+
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/e_sqrt.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtf.c",
+ "upstream-freebsd/lib/msun/src/s_floor.c",
+ ],
+ },
+ instruction_set: "arm",
+ ldflags: ["-Wl,--hash-style=both"],
+ version_script: "libm.arm.map",
+ },
+
+ arm64: {
+ srcs: [
+ "arm64/ceil.S",
+ "arm64/fenv.c",
+ "arm64/fma.S",
+ "arm64/floor.S",
+ "arm64/lrint.S",
+ "arm64/rint.S",
+ "arm64/sqrt.S",
+ "arm64/trunc.S",
+ ],
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/e_sqrt.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtf.c",
+ "upstream-freebsd/lib/msun/src/s_ceil.c",
+ "upstream-freebsd/lib/msun/src/s_ceilf.c",
+ "upstream-freebsd/lib/msun/src/s_fma.c",
+ "upstream-freebsd/lib/msun/src/s_fmaf.c",
+ "upstream-freebsd/lib/msun/src/s_floor.c",
+ "upstream-freebsd/lib/msun/src/s_floorf.c",
+ "upstream-freebsd/lib/msun/src/s_llrint.c",
+ "upstream-freebsd/lib/msun/src/s_llrintf.c",
+ "upstream-freebsd/lib/msun/src/s_lrint.c",
+ "upstream-freebsd/lib/msun/src/s_lrintf.c",
+ "upstream-freebsd/lib/msun/src/s_rint.c",
+ "upstream-freebsd/lib/msun/src/s_rintf.c",
+ "upstream-freebsd/lib/msun/src/s_trunc.c",
+ "upstream-freebsd/lib/msun/src/s_truncf.c",
+ ],
+ version_script: "libm.arm64.map",
+ },
+
+ mips: {
+ srcs: ["mips/fenv.c"],
+ version_script: "libm.mips.map",
+ },
+
+ mips64: {
+ srcs: ["mips/fenv.c"],
+ version_script: "libm.mips64.map",
+ },
+
+ x86: {
+ srcs: [
+ "i387/fenv.c",
+ "x86/sqrt.S",
+ "x86/sqrtf.S",
+ "x86/e_acos.S",
+ "x86/e_asin.S",
+ "x86/e_atan2.S",
+ "x86/e_cosh.S",
+ "x86/e_exp.S",
+ "x86/e_hypot.S",
+ "x86/e_log10.S",
+ "x86/e_log.S",
+ "x86/e_pow.S",
+ "x86/e_sinh.S",
+ "x86/libm_reduce_pi04l.S",
+ "x86/libm_sincos_huge.S",
+ "x86/libm_tancot_huge.S",
+ "x86/lrint.S",
+ "x86/lrintf.S",
+ "x86/s_atan.S",
+ "x86/s_cbrt.S",
+ "x86/s_cos.S",
+ "x86/s_expm1.S",
+ "x86/s_log1p.S",
+ "x86/s_sin.S",
+ "x86/s_tanh.S",
+ "x86/s_tan.S",
+ ],
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/e_acos.c",
+ "upstream-freebsd/lib/msun/src/e_asin.c",
+ "upstream-freebsd/lib/msun/src/e_atan2.c",
+ "upstream-freebsd/lib/msun/src/e_cosh.c",
+ "upstream-freebsd/lib/msun/src/e_exp.c",
+ "upstream-freebsd/lib/msun/src/e_hypot.c",
+ "upstream-freebsd/lib/msun/src/e_log.c",
+ "upstream-freebsd/lib/msun/src/e_log10.c",
+ "upstream-freebsd/lib/msun/src/e_pow.c",
+ "upstream-freebsd/lib/msun/src/e_sinh.c",
+ "upstream-freebsd/lib/msun/src/e_sqrt.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtf.c",
+ "upstream-freebsd/lib/msun/src/s_atan.c",
+ "upstream-freebsd/lib/msun/src/s_cbrt.c",
+ "upstream-freebsd/lib/msun/src/s_cos.c",
+ "upstream-freebsd/lib/msun/src/s_expm1.c",
+ "upstream-freebsd/lib/msun/src/s_log1p.c",
+ "upstream-freebsd/lib/msun/src/s_lrint.c",
+ "upstream-freebsd/lib/msun/src/s_lrintf.c",
+ "upstream-freebsd/lib/msun/src/s_sin.c",
+ "upstream-freebsd/lib/msun/src/s_tan.c",
+ "upstream-freebsd/lib/msun/src/s_tanh.c",
+ ],
+ sse4_1: {
+ srcs: [
+ "x86/ceil.S",
+ "x86/ceilf.S",
+ "x86/floor.S",
+ "x86/floorf.S",
+ "x86/rint.S",
+ "x86/rintf.S",
+ "x86/trunc.S",
+ "x86/truncf.S",
+ ],
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/s_ceil.c",
+ "upstream-freebsd/lib/msun/src/s_ceilf.c",
+ "upstream-freebsd/lib/msun/src/s_floor.c",
+ "upstream-freebsd/lib/msun/src/s_floorf.c",
+ "upstream-freebsd/lib/msun/src/s_rint.c",
+ "upstream-freebsd/lib/msun/src/s_rintf.c",
+ "upstream-freebsd/lib/msun/src/s_trunc.c",
+ "upstream-freebsd/lib/msun/src/s_truncf.c",
+ ],
+ },
+ local_include_dirs: ["i387"],
+ ldflags: ["-Wl,--hash-style=both"],
+ version_script: "libm.x86.map",
+ },
+
+ x86_64: {
+ srcs: [
+ "amd64/fenv.c",
+ "x86_64/sqrt.S",
+ "x86_64/sqrtf.S",
+ "x86_64/e_acos.S",
+ "x86_64/e_asin.S",
+ "x86_64/e_atan2.S",
+ "x86_64/e_cosh.S",
+ "x86_64/e_exp.S",
+ "x86_64/e_hypot.S",
+ "x86_64/e_log10.S",
+ "x86_64/e_log.S",
+ "x86_64/e_pow.S",
+ "x86_64/e_sinh.S",
+ "x86_64/lrint.S",
+ "x86_64/lrintf.S",
+ "x86_64/s_atan.S",
+ "x86_64/s_cbrt.S",
+ "x86_64/s_cos.S",
+ "x86_64/s_expm1.S",
+ "x86_64/s_log1p.S",
+ "x86_64/s_sin.S",
+ "x86_64/s_tanh.S",
+ "x86_64/s_tan.S",
+ ],
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/e_acos.c",
+ "upstream-freebsd/lib/msun/src/e_asin.c",
+ "upstream-freebsd/lib/msun/src/e_atan2.c",
+ "upstream-freebsd/lib/msun/src/e_cosh.c",
+ "upstream-freebsd/lib/msun/src/e_exp.c",
+ "upstream-freebsd/lib/msun/src/e_hypot.c",
+ "upstream-freebsd/lib/msun/src/e_log.c",
+ "upstream-freebsd/lib/msun/src/e_log10.c",
+ "upstream-freebsd/lib/msun/src/e_pow.c",
+ "upstream-freebsd/lib/msun/src/e_sinh.c",
+ "upstream-freebsd/lib/msun/src/e_sqrt.c",
+ "upstream-freebsd/lib/msun/src/e_sqrtf.c",
+ "upstream-freebsd/lib/msun/src/s_atan.c",
+ "upstream-freebsd/lib/msun/src/s_cbrt.c",
+ "upstream-freebsd/lib/msun/src/s_cos.c",
+ "upstream-freebsd/lib/msun/src/s_expm1.c",
+ "upstream-freebsd/lib/msun/src/s_log1p.c",
+ "upstream-freebsd/lib/msun/src/s_llrint.c",
+ "upstream-freebsd/lib/msun/src/s_llrintf.c",
+ "upstream-freebsd/lib/msun/src/s_lrint.c",
+ "upstream-freebsd/lib/msun/src/s_lrintf.c",
+ "upstream-freebsd/lib/msun/src/s_sin.c",
+ "upstream-freebsd/lib/msun/src/s_tan.c",
+ "upstream-freebsd/lib/msun/src/s_tanh.c",
+ ],
+ sse4_1: {
+ srcs: [
+ "x86_64/ceil.S",
+ "x86_64/ceilf.S",
+ "x86_64/floor.S",
+ "x86_64/floorf.S",
+ "x86_64/rint.S",
+ "x86_64/rintf.S",
+ "x86_64/trunc.S",
+ "x86_64/truncf.S",
+ ],
+ exclude_srcs: [
+ "upstream-freebsd/lib/msun/src/s_ceil.c",
+ "upstream-freebsd/lib/msun/src/s_ceilf.c",
+ "upstream-freebsd/lib/msun/src/s_floor.c",
+ "upstream-freebsd/lib/msun/src/s_floorf.c",
+ "upstream-freebsd/lib/msun/src/s_rint.c",
+ "upstream-freebsd/lib/msun/src/s_rintf.c",
+ "upstream-freebsd/lib/msun/src/s_trunc.c",
+ "upstream-freebsd/lib/msun/src/s_truncf.c",
+ ],
+ },
+ version_script: "libm.x86_64.map",
+ },
+ },
+
+ local_include_dirs: [
+ "upstream-freebsd/android/include/",
+ "upstream-freebsd/lib/msun/src/",
+ ],
+
+ cflags: [
+ "-D__BIONIC_NO_MATH_INLINES",
+ "-D_BSD_SOURCE",
+ "-DFLT_EVAL_METHOD=0",
+ "-include freebsd-compat.h",
+ "-Werror",
+ "-Wno-missing-braces",
+ "-Wno-parentheses",
+ "-Wno-sign-compare",
+ "-Wno-uninitialized",
+ "-Wno-unknown-pragmas",
+ ],
+ conlyflags: ["-std=gnu11"],
+
+ include_dirs: ["bionic/libc"],
+ system_shared_libs: ["libc"],
+
+ native_coverage: bionic_coverage,
+ sanitize: {
+ never: true,
+ },
+ stl: "none",
+}
diff --git a/libm/MODULE_LICENSE_BSD_LIKE b/libm/MODULE_LICENSE_BSD_LIKE
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/libm/MODULE_LICENSE_BSD_LIKE
diff --git a/libm/NOTICE b/libm/NOTICE
new file mode 100644
index 0000000..085c210
--- /dev/null
+++ b/libm/NOTICE
@@ -0,0 +1,1062 @@
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+====================================================
+
+Optimized by Bruce D. Evans.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunSoft, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunSoft, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+====================================================
+
+Optimized by Bruce D. Evans.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+
+Developed at SunSoft, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+
+Developed at SunSoft, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+====================================================
+
+Optimized by Bruce D. Evans.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+Copyright (c) 2009-2011, Bruce D. Evans, Steven G. Kargl, David Schultz.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+====================================================
+
+The argument reduction and testing for exceptional cases was
+written by Steven G. Kargl with input from Bruce D. Evans
+and David A. Schultz.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+====================================================
+Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+Copyright (C) 2010 The Android Open Source Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (C) 2013 The Android Open Source Project
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-------------------------------------------------------------------
+
+Copyright (C) 2014 The Android Open Source Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (C) 2015 The Android Open Source Project
+
+Licensed under the Apache License, Version 2.0 (the "License");
+you may not use this file except in compliance with the License.
+You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE-2.0
+
+Unless required by applicable law or agreed to in writing, software
+distributed under the License is distributed on an "AS IS" BASIS,
+WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+See the License for the specific language governing permissions and
+limitations under the License.
+
+-------------------------------------------------------------------
+
+Copyright (c) 1985, 1993
+ The Regents of the University of California. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+3. All advertising materials mentioning features or use of this software
+ must display the following acknowledgement:
+ This product includes software developed by the University of
+ California, Berkeley and its contributors.
+4. Neither the name of the University nor the names of its contributors
+ may be used to endorse or promote products derived from this software
+ without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 1988, 1993
+ The Regents of the University of California. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+3. All advertising materials mentioning features or use of this software
+ must display the following acknowledgement:
+ This product includes software developed by the University of
+ California, Berkeley and its contributors.
+4. Neither the name of the University nor the names of its contributors
+ may be used to endorse or promote products derived from this software
+ without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 1992, 1993
+ The Regents of the University of California. All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+3. All advertising materials mentioning features or use of this software
+ must display the following acknowledgement:
+ This product includes software developed by the University of
+ California, Berkeley and its contributors.
+4. Neither the name of the University nor the names of its contributors
+ may be used to endorse or promote products derived from this software
+ without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2003 Dag-Erling Smørgrav
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer
+ in this position and unchanged.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+3. The name of the author may not be used to endorse or promote products
+ derived from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
+Copyright (c) 2002 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2003, Steven G. Kargl
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2004 Stefan Farfeleder
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2004-2005 David Schultz <das (at) FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2005-2011 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007 David Schultz
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+Derived from s_modf.c, which has the following Copyright:
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007 Steven G. Kargl
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007 The NetBSD Foundation, Inc.
+All rights reserved.
+
+This code is derived from software written by Stephen L. Moshier.
+It is redistributed by the NetBSD Foundation by permission of the author.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007-2008 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2007-2013 Bruce D. Evans
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2009-2013 Steven G. Kargl
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+Optimized by Bruce D. Evans.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2011 David Schultz
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice unmodified, this list of conditions, and the following
+ disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2012 Stephen Montgomery-Smith <stephen@FreeBSD.ORG>
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2013 David Chisnall
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions
+are met:
+1. Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+2. Redistributions in binary form must reproduce the above copyright
+ notice, this list of conditions and the following disclaimer in the
+ documentation and/or other materials provided with the distribution.
+
+THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2013-2014, NVIDIA Corporation. All rights reserved.
+Johnny Qiu <joqiu@nvidia.com>
+Shu Zhang <chazhang@nvidia.com>
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+ * Redistributions of source code must retain the above copyright
+ notice, this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above
+ copyright notice, this list of conditions and the following
+ disclaimer in the documentation and/or other materials provided
+ with the distribution.
+ * Neither the name of The Linux Foundation nor the names of its
+ contributors may be used to endorse or promote products derived
+ from this software without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED "AS IS" AND ANY EXPRESS OR IMPLIED
+WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
+BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
+BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN
+IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+-------------------------------------------------------------------
+
+From: @(#)s_ilogb.c 5.1 93/09/24
+====================================================
+Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+
+Developed at SunPro, a Sun Microsystems, Inc. business.
+Permission to use, copy, modify, and distribute this
+software is freely granted, provided that this notice
+is preserved.
+
+-------------------------------------------------------------------
+
diff --git a/libm/amd64/fenv.c b/libm/amd64/fenv.c
new file mode 100755
index 0000000..9edaf88
--- /dev/null
+++ b/libm/amd64/fenv.c
@@ -0,0 +1,424 @@
+/* $OpenBSD: fenv.c,v 1.3 2012/12/05 23:20:02 deraadt Exp $ */
+/* $NetBSD: fenv.c,v 1.1 2010/07/31 21:47:53 joerg Exp $ */
+
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das (at) FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <fenv.h>
+
+/*
+ * The i387 defaults to Intel extended precision mode and round to nearest,
+ * with all exceptions masked.
+ */
+#define __INITIAL_NPXCW__ 0x037f
+#define __INITIAL_MXCSR__ 0x1f80
+#define __INITIAL_MXCSR_MASK__ 0xffbf
+
+#define SSE_MASK_SHIFT 7
+
+/*
+ * The following symbol is simply the bitwise-inclusive OR of all floating-point
+ * rounding direction constants defined above.
+ */
+#define X87_ROUND_MASK (FE_TONEAREST | FE_DOWNWARD | FE_UPWARD | FE_TOWARDZERO)
+#define SSE_ROUND_SHIFT 3
+
+/*
+ * The following constant represents the default floating-point environment
+ * (that is, the one installed at program startup) and has type pointer to
+ * const-qualified fenv_t.
+ *
+ * It can be used as an argument to the functions within the <fenv.h> header
+ * that manage the floating-point environment, namely fesetenv() and
+ * feupdateenv().
+ *
+ * x87 fpu registers are 16bit wide. The upper bits, 31-16, are marked as
+ * RESERVED.
+ */
+const fenv_t __fe_dfl_env = {
+ {
+ 0xffff0000 | __INITIAL_NPXCW__, /* Control word register */
+ 0xffff0000, /* Status word register */
+ 0xffffffff, /* Tag word register */
+ {
+ 0x00000000,
+ 0x00000000,
+ 0x00000000,
+ 0xffff0000
+ }
+ },
+ __INITIAL_MXCSR__ /* MXCSR register */
+};
+
+
+/*
+ * The feclearexcept() function clears the supported floating-point exceptions
+ * represented by `excepts'.
+ */
+int
+feclearexcept(int excepts)
+{
+ fenv_t fenv;
+ unsigned int mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+
+ /* Store the current x87 floating-point environment */
+ __asm__ __volatile__ ("fnstenv %0" : "=m" (fenv));
+
+ /* Clear the requested floating-point exceptions */
+ fenv.__x87.__status &= ~excepts;
+
+ /* Load the x87 floating-point environent */
+ __asm__ __volatile__ ("fldenv %0" : : "m" (fenv));
+
+ /* Same for SSE environment */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+ mxcsr &= ~excepts;
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (0);
+}
+
+/*
+ * The fegetexceptflag() function stores an implementation-defined
+ * representation of the states of the floating-point status flags indicated by
+ * the argument excepts in the object pointed to by the argument flagp.
+ */
+int
+fegetexceptflag(fexcept_t *flagp, int excepts)
+{
+ unsigned short status;
+ unsigned int mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+
+ /* Store the current x87 status register */
+ __asm__ __volatile__ ("fnstsw %0" : "=am" (status));
+
+ /* Store the MXCSR register */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+
+ /* Store the results in flagp */
+ *flagp = (status | mxcsr) & excepts;
+
+ return (0);
+}
+
+/*
+ * The feraiseexcept() function raises the supported floating-point exceptions
+ * represented by the argument `excepts'.
+ *
+ * The standard explicitly allows us to execute an instruction that has the
+ * exception as a side effect, but we choose to manipulate the status register
+ * directly.
+ *
+ * The validation of input is being deferred to fesetexceptflag().
+ */
+int
+feraiseexcept(int excepts)
+{
+ excepts &= FE_ALL_EXCEPT;
+
+ fesetexceptflag((fexcept_t *)&excepts, excepts);
+ __asm__ __volatile__ ("fwait");
+
+ return (0);
+}
+
+/*
+ * This function sets the floating-point status flags indicated by the argument
+ * `excepts' to the states stored in the object pointed to by `flagp'. It does
+ * NOT raise any floating-point exceptions, but only sets the state of the flags.
+ */
+int
+fesetexceptflag(const fexcept_t *flagp, int excepts)
+{
+ fenv_t fenv;
+ unsigned int mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+
+ /* Store the current x87 floating-point environment */
+ __asm__ __volatile__ ("fnstenv %0" : "=m" (fenv));
+
+ /* Set the requested status flags */
+ fenv.__x87.__status &= ~excepts;
+ fenv.__x87.__status |= *flagp & excepts;
+
+ /* Load the x87 floating-point environent */
+ __asm__ __volatile__ ("fldenv %0" : : "m" (fenv));
+
+ /* Same for SSE environment */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+ mxcsr &= ~excepts;
+ mxcsr |= *flagp & excepts;
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (0);
+}
+
+/*
+ * The fetestexcept() function determines which of a specified subset of the
+ * floating-point exception flags are currently set. The `excepts' argument
+ * specifies the floating-point status flags to be queried.
+ */
+int
+fetestexcept(int excepts)
+{
+ unsigned short status;
+ unsigned int mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+
+ /* Store the current x87 status register */
+ __asm__ __volatile__ ("fnstsw %0" : "=am" (status));
+
+ /* Store the MXCSR register state */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+
+ return ((status | mxcsr) & excepts);
+}
+
+/*
+ * The fegetround() function gets the current rounding direction.
+ */
+int
+fegetround(void)
+{
+ unsigned short control;
+
+ /*
+ * We assume that the x87 and the SSE unit agree on the
+ * rounding mode. Reading the control word on the x87 turns
+ * out to be about 5 times faster than reading it on the SSE
+ * unit on an Opteron 244.
+ */
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (control));
+
+ return (control & X87_ROUND_MASK);
+}
+
+/*
+ * The fesetround() function establishes the rounding direction represented by
+ * its argument `round'. If the argument is not equal to the value of a rounding
+ * direction macro, the rounding direction is not changed.
+ */
+int
+fesetround(int round)
+{
+ unsigned short control;
+ unsigned int mxcsr;
+
+ /* Check whether requested rounding direction is supported */
+ if (round & ~X87_ROUND_MASK)
+ return (-1);
+
+ /* Store the current x87 control word register */
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (control));
+
+ /* Set the rounding direction */
+ control &= ~X87_ROUND_MASK;
+ control |= round;
+
+ /* Load the x87 control word register */
+ __asm__ __volatile__ ("fldcw %0" : : "m" (control));
+
+ /* Same for the SSE environment */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+ mxcsr &= ~(X87_ROUND_MASK << SSE_ROUND_SHIFT);
+ mxcsr |= round << SSE_ROUND_SHIFT;
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (0);
+}
+
+/*
+ * The fegetenv() function attempts to store the current floating-point
+ * environment in the object pointed to by envp.
+ */
+int
+fegetenv(fenv_t *envp)
+{
+ /* Store the current x87 floating-point environment */
+ __asm__ __volatile__ ("fnstenv %0" : "=m" (*envp));
+
+ /* Store the MXCSR register state */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (envp->__mxcsr));
+
+ /*
+ * When an FNSTENV instruction is executed, all pending exceptions are
+ * essentially lost (either the x87 FPU status register is cleared or
+ * all exceptions are masked).
+ *
+ * 8.6 X87 FPU EXCEPTION SYNCHRONIZATION -
+ * Intel(R) 64 and IA-32 Architectures Softare Developer's Manual - Vol1
+ */
+ __asm__ __volatile__ ("fldcw %0" : : "m" (envp->__x87.__control));
+
+ return (0);
+}
+
+/*
+ * The feholdexcept() function saves the current floating-point environment
+ * in the object pointed to by envp, clears the floating-point status flags, and
+ * then installs a non-stop (continue on floating-point exceptions) mode, if
+ * available, for all floating-point exceptions.
+ */
+int
+feholdexcept(fenv_t *envp)
+{
+ unsigned int mxcsr;
+
+ /* Store the current x87 floating-point environment */
+ __asm__ __volatile__ ("fnstenv %0" : "=m" (*envp));
+
+ /* Clear all exception flags in FPU */
+ __asm__ __volatile__ ("fnclex");
+
+ /* Store the MXCSR register state */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (envp->__mxcsr));
+
+ /* Clear exception flags in MXCSR */
+ mxcsr = envp->__mxcsr;
+ mxcsr &= ~FE_ALL_EXCEPT;
+
+ /* Mask all exceptions */
+ mxcsr |= FE_ALL_EXCEPT << SSE_MASK_SHIFT;
+
+ /* Store the MXCSR register */
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (0);
+}
+
+/*
+ * The fesetenv() function attempts to establish the floating-point environment
+ * represented by the object pointed to by envp. The argument `envp' points
+ * to an object set by a call to fegetenv() or feholdexcept(), or equal a
+ * floating-point environment macro. The fesetenv() function does not raise
+ * floating-point exceptions, but only installs the state of the floating-point
+ * status flags represented through its argument.
+ */
+int
+fesetenv(const fenv_t *envp)
+{
+ /* Load the x87 floating-point environent */
+ __asm__ __volatile__ ("fldenv %0" : : "m" (*envp));
+
+ /* Store the MXCSR register */
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (envp->__mxcsr));
+
+ return (0);
+}
+
+/*
+ * The feupdateenv() function saves the currently raised floating-point
+ * exceptions in its automatic storage, installs the floating-point environment
+ * represented by the object pointed to by `envp', and then raises the saved
+ * floating-point exceptions. The argument `envp' shall point to an object set
+ * by a call to feholdexcept() or fegetenv(), or equal a floating-point
+ * environment macro.
+ */
+int
+feupdateenv(const fenv_t *envp)
+{
+ unsigned short status;
+ unsigned int mxcsr;
+
+ /* Store the x87 status register */
+ __asm__ __volatile__ ("fnstsw %0" : "=am" (status));
+
+ /* Store the MXCSR register */
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+
+ /* Install new floating-point environment */
+ fesetenv(envp);
+
+ /* Raise any previously accumulated exceptions */
+ feraiseexcept(status | mxcsr);
+
+ return (0);
+}
+
+/*
+ * The following functions are extentions to the standard
+ */
+int
+feenableexcept(int mask)
+{
+ unsigned int mxcsr, omask;
+ unsigned short control;
+
+ mask &= FE_ALL_EXCEPT;
+
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (control));
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+
+ omask = ~(control | (mxcsr >> SSE_MASK_SHIFT)) & FE_ALL_EXCEPT;
+ control &= ~mask;
+ __asm__ __volatile__ ("fldcw %0" : : "m" (control));
+
+ mxcsr &= ~(mask << SSE_MASK_SHIFT);
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (omask);
+}
+
+int
+fedisableexcept(int mask)
+{
+ unsigned int mxcsr, omask;
+ unsigned short control;
+
+ mask &= FE_ALL_EXCEPT;
+
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (control));
+ __asm__ __volatile__ ("stmxcsr %0" : "=m" (mxcsr));
+
+ omask = ~(control | (mxcsr >> SSE_MASK_SHIFT)) & FE_ALL_EXCEPT;
+ control |= mask;
+ __asm__ __volatile__ ("fldcw %0" : : "m" (control));
+
+ mxcsr |= mask << SSE_MASK_SHIFT;
+ __asm__ __volatile__ ("ldmxcsr %0" : : "m" (mxcsr));
+
+ return (omask);
+}
+
+int
+fegetexcept(void)
+{
+ unsigned short control;
+
+ /*
+ * We assume that the masks for the x87 and the SSE unit are
+ * the same.
+ */
+ __asm__ __volatile__ ("fnstcw %0" : "=m" (control));
+
+ return (~control & FE_ALL_EXCEPT);
+}
diff --git a/libm/arm/fenv.c b/libm/arm/fenv.c
new file mode 100644
index 0000000..2124730
--- /dev/null
+++ b/libm/arm/fenv.c
@@ -0,0 +1,139 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/arm/fenv.c,v 1.1 2004/06/06 10:03:59 das Exp $
+ */
+
+#include <fenv.h>
+
+#define FPSCR_ENABLE_SHIFT 8
+#define FPSCR_ENABLE_MASK (FE_ALL_EXCEPT << FPSCR_ENABLE_SHIFT)
+
+#define FPSCR_RMODE_SHIFT 22
+
+const fenv_t __fe_dfl_env = 0;
+
+int fegetenv(fenv_t* __envp) {
+ fenv_t _fpscr;
+ __asm__ __volatile__("vmrs %0,fpscr" : "=r" (_fpscr));
+ *__envp = _fpscr;
+ return 0;
+}
+
+int fesetenv(const fenv_t* __envp) {
+ fenv_t _fpscr = *__envp;
+ __asm__ __volatile__("vmsr fpscr,%0" : :"ri" (_fpscr));
+ return 0;
+}
+
+int feclearexcept(int __excepts) {
+ fexcept_t __fpscr;
+ fegetenv(&__fpscr);
+ __fpscr &= ~__excepts;
+ fesetenv(&__fpscr);
+ return 0;
+}
+
+int fegetexceptflag(fexcept_t* __flagp, int __excepts) {
+ fexcept_t __fpscr;
+ fegetenv(&__fpscr);
+ *__flagp = __fpscr & __excepts;
+ return 0;
+}
+
+int fesetexceptflag(const fexcept_t* __flagp, int __excepts) {
+ fexcept_t __fpscr;
+ fegetenv(&__fpscr);
+ __fpscr &= ~__excepts;
+ __fpscr |= *__flagp & __excepts;
+ fesetenv(&__fpscr);
+ return 0;
+}
+
+int feraiseexcept(int __excepts) {
+ fexcept_t __ex = __excepts;
+ fesetexceptflag(&__ex, __excepts);
+ return 0;
+}
+
+int fetestexcept(int __excepts) {
+ fexcept_t __fpscr;
+ fegetenv(&__fpscr);
+ return (__fpscr & __excepts);
+}
+
+int fegetround(void) {
+ fenv_t _fpscr;
+ fegetenv(&_fpscr);
+ return ((_fpscr >> FPSCR_RMODE_SHIFT) & 0x3);
+}
+
+int fesetround(int __round) {
+ fenv_t _fpscr;
+ fegetenv(&_fpscr);
+ _fpscr &= ~(0x3 << FPSCR_RMODE_SHIFT);
+ _fpscr |= (__round << FPSCR_RMODE_SHIFT);
+ fesetenv(&_fpscr);
+ return 0;
+}
+
+int feholdexcept(fenv_t* __envp) {
+ fenv_t __env;
+ fegetenv(&__env);
+ *__envp = __env;
+ __env &= ~(FE_ALL_EXCEPT | FPSCR_ENABLE_MASK);
+ fesetenv(&__env);
+ return 0;
+}
+
+int feupdateenv(const fenv_t* __envp) {
+ fexcept_t __fpscr;
+ fegetenv(&__fpscr);
+ fesetenv(__envp);
+ feraiseexcept(__fpscr & FE_ALL_EXCEPT);
+ return 0;
+}
+
+int feenableexcept(int __mask) {
+ fenv_t __old_fpscr, __new_fpscr;
+ fegetenv(&__old_fpscr);
+ __new_fpscr = __old_fpscr | (__mask & FE_ALL_EXCEPT) << FPSCR_ENABLE_SHIFT;
+ fesetenv(&__new_fpscr);
+ return ((__old_fpscr >> FPSCR_ENABLE_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fedisableexcept(int __mask) {
+ fenv_t __old_fpscr, __new_fpscr;
+ fegetenv(&__old_fpscr);
+ __new_fpscr = __old_fpscr & ~((__mask & FE_ALL_EXCEPT) << FPSCR_ENABLE_SHIFT);
+ fesetenv(&__new_fpscr);
+ return ((__old_fpscr >> FPSCR_ENABLE_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fegetexcept(void) {
+ fenv_t __fpscr;
+ fegetenv(&__fpscr);
+ return ((__fpscr & FPSCR_ENABLE_MASK) >> FPSCR_ENABLE_SHIFT);
+}
diff --git a/libm/arm/floor.S b/libm/arm/floor.S
new file mode 100644
index 0000000..3af8f76
--- /dev/null
+++ b/libm/arm/floor.S
@@ -0,0 +1,139 @@
+/*
+ * Copyright (c) 2013-2014, NVIDIA Corporation. All rights reserved.
+ * Johnny Qiu <joqiu@nvidia.com>
+ * Shu Zhang <chazhang@nvidia.com>
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above
+ * copyright notice, this list of conditions and the following
+ * disclaimer in the documentation and/or other materials provided
+ * with the distribution.
+ * * Neither the name of The Linux Foundation nor the names of its
+ * contributors may be used to endorse or promote products derived
+ * from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED "AS IS" AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
+ * BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+ * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+ * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN
+ * IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <float.h>
+#include <private/bionic_asm.h>
+
+ENTRY(floor) /* x in r0, r1 */
+
+ and r3, r1, #0x80000000 /* sign(x) */
+ bic r1, r1, #0x80000000 /* x = abs(x) */
+
+ /* extract exp of x */
+ lsr r2, r1, #20
+ sub r2, r2, #0x3fc
+ subs r2, r2, #0x3 /* r2 <- exp */
+
+ /* |x| < 1.0? */
+ blt .Lx_lt_one
+
+ /* x < 0? */
+ cmp r3, #0
+ bne .Lclr_frac_neg
+
+ /* |x| <= 2^20? */
+ cmp r2, #20
+ ble .Lclr_frac_r1
+
+ /* |x| < 2^52? */
+ cmp r2, #52
+ blt .Lclr_frac_r0
+
+ /* return x */
+ bx lr
+
+.Lclr_frac_r1:
+ rsb r2, r2, #20
+ lsr r1, r1, r2
+ lsl r1, r1, r2
+ mov r0, #0
+ bx lr
+
+.Lclr_frac_r0:
+ rsb r2, r2, #52
+ lsr r0, r0, r2
+ lsl r0, r0, r2
+ bx lr
+
+.Lclr_frac_neg:
+ /* |x| <= 2^20? */
+ cmp r2, #20
+ ble .Lclr_frac_r1_neg
+
+ /* |x| < 2^52? */
+ cmp r2, #52
+ blt .Lclr_frac_r0_neg
+
+ /* return x */
+ orr r1, r1, #0x80000000
+ bx lr
+
+.Lclr_frac_r1_neg:
+ rsb r2, r2, #20
+ mov r3, #1
+ lsl r3, r3, r2
+ sub r3, r3, #1
+ and r3, r1, r3
+ orr r3, r3, r0
+ lsr r1, r1, r2
+ lsl r1, r1, r2
+ mov r0, #0
+ b .Lreturn_x_neg
+
+.Lclr_frac_r0_neg:
+ rsb r2, r2, #52
+ mov r3, #1
+ lsl r3, r3, r2
+ sub r3, r3, #1
+ and r3, r0, r3
+ lsr r0, r0, r2
+ lsl r0, r0, r2
+ b .Lreturn_x_neg
+
+.Lx_lt_one:
+ /* x == +-0? */
+ cmp r0, #0
+ cmpeq r1, #0
+ orreq r1, r1, r3
+ bxeq lr
+
+ /* (x > 0) ? 0 : -1 */
+ mov r1, #0x00100000
+ mov r0, #0
+ cmp r3, #0
+ movne r1, #0xc0000000
+ sub r1, r1, #0x00100000
+ bx lr
+
+.Lreturn_x_neg:
+ cmp r3, #0
+ orr r1, r1, #0x80000000
+ bxeq lr
+
+ vmov d16, r0, r1
+ vmov.f64 d18, #1.0
+ vsub.f64 d16, d16, d18
+ vmov r0, r1, d16
+ bx lr
+
+END(floor)
+
+ALIAS_SYMBOL(floorl, floor);
diff --git a/libm/arm/sqrt.S b/libm/arm/sqrt.S
new file mode 100644
index 0000000..f2981f4
--- /dev/null
+++ b/libm/arm/sqrt.S
@@ -0,0 +1,49 @@
+/*
+ * Copyright (c) 2013-2014, NVIDIA Corporation. All rights reserved.
+ * Johnny Qiu <joqiu@nvidia.com>
+ * Shu Zhang <chazhang@nvidia.com>
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * * Redistributions in binary form must reproduce the above
+ * copyright notice, this list of conditions and the following
+ * disclaimer in the documentation and/or other materials provided
+ * with the distribution.
+ * * Neither the name of The Linux Foundation nor the names of its
+ * contributors may be used to endorse or promote products derived
+ * from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED "AS IS" AND ANY EXPRESS OR IMPLIED
+ * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
+ * BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+ * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+ * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN
+ * IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <float.h>
+#include <private/bionic_asm.h>
+
+ENTRY(sqrt)
+ vmov.f64 d0, r0, r1
+ vsqrt.f64 d0, d0
+ vmov.f64 r0, r1, d0
+ bx lr
+END(sqrt)
+
+ENTRY(sqrtf)
+ vmov.f32 s0, r0
+ vsqrt.f32 s0, s0
+ vmov.f32 r0, s0
+ bx lr
+END(sqrtf)
+
+ALIAS_SYMBOL(sqrtl, sqrt);
diff --git a/libm/arm64/ceil.S b/libm/arm64/ceil.S
new file mode 100644
index 0000000..7217d57
--- /dev/null
+++ b/libm/arm64/ceil.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(ceil)
+ frintP d0, d0
+ ret
+END(ceil)
+
+ENTRY(ceilf)
+ frintP s0, s0
+ ret
+END(ceilf)
diff --git a/libm/arm64/fenv.c b/libm/arm64/fenv.c
new file mode 100644
index 0000000..19a2393
--- /dev/null
+++ b/libm/arm64/fenv.c
@@ -0,0 +1,206 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: libm/aarch64/fenv.c $
+ */
+
+#include <stdint.h>
+#include <fenv.h>
+
+#define FPCR_EXCEPT_SHIFT 8
+#define FPCR_EXCEPT_MASK (FE_ALL_EXCEPT << FPCR_EXCEPT_SHIFT)
+
+#define FPCR_RMODE_SHIFT 22
+
+const fenv_t __fe_dfl_env = { 0 /* control */, 0 /* status */};
+
+typedef __uint32_t fpu_control_t; // FPCR, Floating-point Control Register.
+typedef __uint32_t fpu_status_t; // FPSR, Floating-point Status Register.
+
+#define __get(REGISTER, __value) { \
+ uint64_t __value64; \
+ __asm__ __volatile__("mrs %0," REGISTER : "=r" (__value64)); \
+ __value = (__uint32_t) __value64; \
+}
+#define __get_fpcr(__fpcr) __get("fpcr", __fpcr)
+#define __get_fpsr(__fpsr) __get("fpsr", __fpsr)
+
+#define __set(REGISTER, __value) { \
+ uint64_t __value64 = __value; \
+ __asm__ __volatile__("msr " REGISTER ",%0" : : "ri" (__value64)); \
+}
+#define __set_fpcr(__fpcr) __set("fpcr", __fpcr)
+#define __set_fpsr(__fpsr) __set("fpsr", __fpsr)
+
+int fegetenv(fenv_t* envp) {
+ __get_fpcr(envp->__control);
+ __get_fpsr(envp->__status);
+ return 0;
+}
+
+int fesetenv(const fenv_t* envp) {
+ fpu_control_t fpcr;
+
+ __get_fpcr(fpcr);
+ if (envp->__control != fpcr) {
+ __set_fpcr(envp->__control);
+ }
+ __set_fpsr(envp->__status);
+ return 0;
+}
+
+int feclearexcept(int excepts) {
+ fpu_status_t fpsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ __get_fpsr(fpsr);
+ fpsr &= ~excepts;
+ __set_fpsr(fpsr);
+ return 0;
+}
+
+int fegetexceptflag(fexcept_t* flagp, int excepts) {
+ fpu_status_t fpsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ __get_fpsr(fpsr);
+ *flagp = fpsr & excepts;
+ return 0;
+}
+
+int fesetexceptflag(const fexcept_t* flagp, int excepts) {
+ fpu_status_t fpsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ __get_fpsr(fpsr);
+ fpsr &= ~excepts;
+ fpsr |= *flagp & excepts;
+ __set_fpsr(fpsr);
+ return 0;
+}
+
+int feraiseexcept(int excepts) {
+ fexcept_t ex = excepts;
+
+ fesetexceptflag(&ex, excepts);
+ return 0;
+}
+
+int fetestexcept(int excepts) {
+ fpu_status_t fpsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ __get_fpsr(fpsr);
+ return (fpsr & excepts);
+}
+
+int fegetround(void) {
+ fpu_control_t fpcr;
+
+ __get_fpcr(fpcr);
+ return ((fpcr >> FPCR_RMODE_SHIFT) & FE_TOWARDZERO);
+}
+
+int fesetround(int round) {
+ fpu_control_t fpcr, new_fpcr;
+
+ round &= FE_TOWARDZERO;
+ __get_fpcr(fpcr);
+ new_fpcr = fpcr & ~(FE_TOWARDZERO << FPCR_RMODE_SHIFT);
+ new_fpcr |= (round << FPCR_RMODE_SHIFT);
+ if (new_fpcr != fpcr) {
+ __set_fpcr(new_fpcr);
+ }
+ return 0;
+}
+
+int feholdexcept(fenv_t* envp) {
+ fenv_t env;
+ fpu_status_t fpsr;
+ fpu_control_t fpcr, new_fpcr;
+
+ __get_fpsr(fpsr);
+ __get_fpcr(fpcr);
+ env.__status = fpsr;
+ env.__control = fpcr;
+ *envp = env;
+
+ // Set exceptions to untrapped.
+ new_fpcr = fpcr & ~(FE_ALL_EXCEPT << FPCR_EXCEPT_SHIFT);
+ if (new_fpcr != fpcr) {
+ __set_fpcr(new_fpcr);
+ }
+
+ // Clear all exceptions.
+ fpsr &= ~FE_ALL_EXCEPT;
+ __set_fpsr(fpsr);
+ return 0;
+}
+
+int feupdateenv(const fenv_t* envp) {
+ fpu_status_t fpsr;
+ fpu_control_t fpcr;
+
+ // Set FPU Control register.
+ __get_fpcr(fpcr);
+ if (envp->__control != fpcr) {
+ __set_fpcr(envp->__control);
+ }
+
+ // Set FPU Status register to status | currently raised exceptions.
+ __get_fpsr(fpsr);
+ fpsr = envp->__status | (fpsr & FE_ALL_EXCEPT);
+ __set_fpsr(fpsr);
+ return 0;
+}
+
+int feenableexcept(int mask) {
+ fpu_control_t old_fpcr, new_fpcr;
+
+ __get_fpcr(old_fpcr);
+ new_fpcr = old_fpcr | ((mask & FE_ALL_EXCEPT) << FPCR_EXCEPT_SHIFT);
+ if (new_fpcr != old_fpcr) {
+ __set_fpcr(new_fpcr);
+ }
+ return ((old_fpcr >> FPCR_EXCEPT_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fedisableexcept(int mask) {
+ fpu_control_t old_fpcr, new_fpcr;
+
+ __get_fpcr(old_fpcr);
+ new_fpcr = old_fpcr & ~((mask & FE_ALL_EXCEPT) << FPCR_EXCEPT_SHIFT);
+ if (new_fpcr != old_fpcr) {
+ __set_fpcr(new_fpcr);
+ }
+ return ((old_fpcr >> FPCR_EXCEPT_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fegetexcept(void) {
+ fpu_control_t fpcr;
+
+ __get_fpcr(fpcr);
+ return ((fpcr & FPCR_EXCEPT_MASK) >> FPCR_EXCEPT_SHIFT);
+}
diff --git a/libm/arm64/floor.S b/libm/arm64/floor.S
new file mode 100644
index 0000000..ca106bd
--- /dev/null
+++ b/libm/arm64/floor.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(floor)
+ frintM d0, d0
+ ret
+END(floor)
+
+ENTRY(floorf)
+ frintM s0, s0
+ ret
+END(floorf)
diff --git a/libm/arm64/fma.S b/libm/arm64/fma.S
new file mode 100644
index 0000000..1a8a158
--- /dev/null
+++ b/libm/arm64/fma.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(fma)
+ fmadd d0, d0, d1, d2
+ ret
+END(fma)
+
+ENTRY(fmaf)
+ fmadd s0, s0, s1, s2
+ ret
+END(fmaf)
diff --git a/libm/arm64/lrint.S b/libm/arm64/lrint.S
new file mode 100644
index 0000000..5f95ae8
--- /dev/null
+++ b/libm/arm64/lrint.S
@@ -0,0 +1,34 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(lrint)
+ frintX d0, d0
+ fcvtzs x0, d0
+ ret
+END(lrint)
+
+ENTRY(lrintf)
+ frintX s0, s0
+ fcvtzs x0, s0
+ ret
+END(lrintf)
+
+// sizeof(long) and sizeof(long long) are the same for aarch64
+ALIAS_SYMBOL(llrint, lrint);
+
+ALIAS_SYMBOL(llrintf, lrintf);
diff --git a/libm/arm64/rint.S b/libm/arm64/rint.S
new file mode 100644
index 0000000..bf49f5b
--- /dev/null
+++ b/libm/arm64/rint.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(rint)
+ frintX d0, d0
+ ret
+END(rint)
+
+ENTRY(rintf)
+ frintX s0, s0
+ ret
+END(rintf)
diff --git a/libm/arm64/sqrt.S b/libm/arm64/sqrt.S
new file mode 100644
index 0000000..3a58ef3
--- /dev/null
+++ b/libm/arm64/sqrt.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(sqrt)
+ fsqrt d0, d0
+ ret
+END(sqrt)
+
+ENTRY(sqrtf)
+ fsqrt s0, s0
+ ret
+END(sqrtf)
diff --git a/libm/arm64/trunc.S b/libm/arm64/trunc.S
new file mode 100644
index 0000000..aa0d4bd
--- /dev/null
+++ b/libm/arm64/trunc.S
@@ -0,0 +1,27 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <private/bionic_asm.h>
+
+ENTRY(trunc)
+ frintZ d0, d0
+ ret
+END(trunc)
+
+ENTRY(truncf)
+ frintZ s0, s0
+ ret
+END(truncf)
diff --git a/libm/digittoint.c b/libm/digittoint.c
new file mode 100644
index 0000000..1824788
--- /dev/null
+++ b/libm/digittoint.c
@@ -0,0 +1,46 @@
+/*-
+ * Copyright (c) 2007 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <sys/cdefs.h>
+
+/* digittoint is in the FreeBSD C library, but implemented in terms of locale stuff. */
+__LIBC_HIDDEN__ int digittoint(char ch) {
+ int d = ch - '0';
+ if ((unsigned) d < 10) {
+ return d;
+ }
+ d = ch - 'a';
+ if ((unsigned) d < 6) {
+ return d + 10;
+ }
+ d = ch - 'A';
+ if ((unsigned) d < 6) {
+ return d + 10;
+ }
+ return -1;
+}
diff --git a/libm/fabs.cpp b/libm/fabs.cpp
new file mode 100644
index 0000000..add73fe
--- /dev/null
+++ b/libm/fabs.cpp
@@ -0,0 +1,46 @@
+/*
+ * Copyright (C) 2015 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+
+double fabs(double x) {
+#if __arm__
+ // Both Clang and GCC insist on moving r0/r1 into a double register
+ // and using fabs where bit-twiddling would be a better choice.
+ // They get fabsf right, but we need to be careful in fabsl too.
+ IEEEd2bits u;
+ u.d = x;
+ u.bits.sign = 0;
+ return u.d;
+#else
+ return __builtin_fabs(x);
+#endif
+}
+
+float fabsf(float x) {
+ return __builtin_fabsf(x);
+}
+
+#if defined(__LP64__)
+long double fabsl(long double x) { return __builtin_fabsl(x); }
+#else
+long double fabsl(long double x) {
+ // Don't use __builtin_fabs here because of ARM. (See fabs above.)
+ return fabs(x);
+}
+#endif
diff --git a/libm/fake_long_double.c b/libm/fake_long_double.c
new file mode 100644
index 0000000..20148a3
--- /dev/null
+++ b/libm/fake_long_double.c
@@ -0,0 +1,42 @@
+/*
+ * Copyright (C) 2013 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include <float.h>
+#include <math.h>
+
+#ifndef __LP64__
+/*
+ * The BSD "long double" functions are broken when sizeof(long double) == sizeof(double).
+ * Android works around those cases by replacing the broken functions with our own trivial stubs
+ * that call the regular "double" function.
+ */
+
+long double copysignl(long double a1, long double a2) { return copysign(a1, a2); }
+long double fmaxl(long double a1, long double a2) { return fmax(a1, a2); }
+long double fmodl(long double a1, long double a2) { return fmod(a1, a2); }
+long double fminl(long double a1, long double a2) { return fmin(a1, a2); }
+int ilogbl(long double a1) { return ilogb(a1); }
+long long llrintl(long double a1) { return llrint(a1); }
+#if !defined(__i386__) // x86 has an assembler lrint/lrintl.
+long lrintl(long double a1) { return lrint(a1); }
+#endif
+long long llroundl(long double a1) { return llround(a1); }
+long lroundl(long double a1) { return lround(a1); }
+long double modfl(long double a1, long double* a2) { double i; double f = modf(a1, &i); *a2 = i; return f; }
+float nexttowardf(float a1, long double a2) { return nextafterf(a1, (float) a2); }
+long double roundl(long double a1) { return round(a1); }
+
+#endif // __LP64__
diff --git a/libm/fpmath.h b/libm/fpmath.h
new file mode 100644
index 0000000..80420e5
--- /dev/null
+++ b/libm/fpmath.h
@@ -0,0 +1,96 @@
+/*-
+ * Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
+ * Copyright (c) 2002 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+// ANDROID changed:
+// - keep only little endian variants as they're the only one supported.
+// - add long double structures here instead of _fpmath.h.
+// - android uses 128 bits long doubles for LP64, so the structure and macros
+// were reworked for the quad precision ieee representation.
+
+#ifndef _FPMATH_
+#define _FPMATH_
+
+#include <endian.h>
+
+union IEEEf2bits {
+ float f;
+ struct {
+ unsigned int man :23;
+ unsigned int exp :8;
+ unsigned int sign :1;
+ } bits;
+};
+
+#define DBL_MANH_SIZE 20
+#define DBL_MANL_SIZE 32
+
+union IEEEd2bits {
+ double d;
+ struct {
+ unsigned int manl :32;
+ unsigned int manh :20;
+ unsigned int exp :11;
+ unsigned int sign :1;
+ } bits;
+};
+
+#ifdef __LP64__
+
+union IEEEl2bits {
+ long double e;
+ struct {
+ unsigned long manl :64;
+ unsigned long manh :48;
+ unsigned int exp :15;
+ unsigned int sign :1;
+ } bits;
+ struct {
+ unsigned long manl :64;
+ unsigned long manh :48;
+ unsigned int expsign :16;
+ } xbits;
+};
+
+#define LDBL_NBIT 0
+#define LDBL_IMPLICIT_NBIT
+#define mask_nbit_l(u) ((void)0)
+
+#define LDBL_MANH_SIZE 48
+#define LDBL_MANL_SIZE 64
+
+#define LDBL_TO_ARRAY32(u, a) do { \
+ (a)[0] = (uint32_t)(u).bits.manl; \
+ (a)[1] = (uint32_t)((u).bits.manl >> 32); \
+ (a)[2] = (uint32_t)(u).bits.manh; \
+ (a)[3] = (uint32_t)((u).bits.manh >> 32); \
+} while(0)
+
+#endif // __LP64__
+
+#endif // _FPMATH_
diff --git a/libm/freebsd-compat.h b/libm/freebsd-compat.h
new file mode 100644
index 0000000..a4dd6c2
--- /dev/null
+++ b/libm/freebsd-compat.h
@@ -0,0 +1,34 @@
+/*
+ * Copyright (C) 2013 The Android Open Source Project
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _BIONIC_LIBM_FREEBSD_COMPAT_H_included
+#define _BIONIC_LIBM_FREEBSD_COMPAT_H_included
+
+#include <float.h>
+
+#define __weak_reference(sym,alias) \
+ __asm__(".weak " #alias); \
+ __asm__(".equ " #alias ", " #sym)
+
+#define __strong_reference(sym,aliassym) \
+ extern __typeof (sym) aliassym __attribute__ ((__alias__ (#sym)))
+
+#define __warn_references(sym,msg) /* ignored */
+
+/* digittoint is in BSD's <ctype.h>. */
+int digittoint(char ch);
+
+#endif
diff --git a/libm/i387/fenv.c b/libm/i387/fenv.c
new file mode 100644
index 0000000..09b4386
--- /dev/null
+++ b/libm/i387/fenv.c
@@ -0,0 +1,412 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/i387/fenv.c,v 1.2 2005/03/17 22:21:46 das Exp $
+ */
+
+#include <sys/cdefs.h>
+#include <sys/types.h>
+#include "fenv.h"
+
+#define ROUND_MASK (FE_TONEAREST | FE_DOWNWARD | FE_UPWARD | FE_TOWARDZERO)
+
+/*
+ * The hardware default control word for i387's and later coprocessors is
+ * 0x37F, giving:
+ *
+ * round to nearest
+ * 64-bit precision
+ * all exceptions masked.
+ *
+ * We modify the affine mode bit and precision bits in this to give:
+ *
+ * affine mode for 287's (if they work at all) (1 in bitfield 1<<12)
+ * 53-bit precision (2 in bitfield 3<<8)
+ *
+ * 64-bit precision often gives bad results with high level languages
+ * because it makes the results of calculations depend on whether
+ * intermediate values are stored in memory or in FPU registers.
+ */
+#define __INITIAL_NPXCW__ 0x127F
+#define __INITIAL_MXCSR__ 0x1F80
+
+/*
+ * As compared to the x87 control word, the SSE unit's control word
+ * has the rounding control bits offset by 3 and the exception mask
+ * bits offset by 7.
+ */
+#define _SSE_ROUND_SHIFT 3
+#define _SSE_EMASK_SHIFT 7
+
+const fenv_t __fe_dfl_env = {
+ __INITIAL_NPXCW__, /*__control*/
+ 0x0000, /*__mxcsr_hi*/
+ 0x0000, /*__status*/
+ 0x1f80, /*__mxcsr_lo*/
+ 0xffffffff, /*__tag*/
+ { 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
+ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0xff, 0xff } /*__other*/
+};
+
+#define __fldcw(__cw) __asm volatile("fldcw %0" : : "m" (__cw))
+#define __fldenv(__env) __asm volatile("fldenv %0" : : "m" (__env))
+#define __fldenvx(__env) __asm volatile("fldenv %0" : : "m" (__env) \
+ : "st", "st(1)", "st(2)", "st(3)", "st(4)", \
+ "st(5)", "st(6)", "st(7)")
+#define __fnclex() __asm volatile("fnclex")
+#define __fnstenv(__env) __asm volatile("fnstenv %0" : "=m" (*(__env)))
+#define __fnstcw(__cw) __asm volatile("fnstcw %0" : "=m" (*(__cw)))
+#define __fnstsw(__sw) __asm volatile("fnstsw %0" : "=am" (*(__sw)))
+#define __fwait() __asm volatile("fwait")
+#define __ldmxcsr(__csr) __asm volatile("ldmxcsr %0" : : "m" (__csr))
+#define __stmxcsr(__csr) __asm volatile("stmxcsr %0" : "=m" (*(__csr)))
+
+/* After testing for SSE support once, we cache the result in __has_sse. */
+enum __sse_support { __SSE_YES, __SSE_NO, __SSE_UNK };
+#ifdef __SSE__
+#define __HAS_SSE() 1
+#else
+#define __HAS_SSE() (__has_sse == __SSE_YES || \
+ (__has_sse == __SSE_UNK && __test_sse()))
+#endif
+
+enum __sse_support __has_sse =
+#ifdef __SSE__
+ __SSE_YES;
+#else
+ __SSE_UNK;
+#endif
+
+#ifndef __SSE__
+#define getfl(x) __asm volatile("pushfl\n\tpopl %0" : "=mr" (*(x)))
+#define setfl(x) __asm volatile("pushl %0\n\tpopfl" : : "g" (x))
+#define cpuid_dx(x) __asm volatile("pushl %%ebx\n\tmovl $1, %%eax\n\t" \
+ "cpuid\n\tpopl %%ebx" \
+ : "=d" (*(x)) : : "eax", "ecx")
+
+/*
+ * Test for SSE support on this processor. We need to do this because
+ * we need to use ldmxcsr/stmxcsr to get correct results if any part
+ * of the program was compiled to use SSE floating-point, but we can't
+ * use SSE on older processors.
+ */
+int
+__test_sse(void)
+{
+ int flag, nflag;
+ int dx_features;
+
+ /* Am I a 486? */
+ getfl(&flag);
+ nflag = flag ^ 0x200000;
+ setfl(nflag);
+ getfl(&nflag);
+ if (flag != nflag) {
+ /* Not a 486, so CPUID should work. */
+ cpuid_dx(&dx_features);
+ if (dx_features & 0x2000000) {
+ __has_sse = __SSE_YES;
+ return (1);
+ }
+ }
+ __has_sse = __SSE_NO;
+ return (0);
+}
+#endif /* __SSE__ */
+
+int
+fesetexceptflag(const fexcept_t *flagp, int excepts)
+{
+ fenv_t env;
+ __uint32_t mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ if (excepts) { /* Do nothing if excepts is 0 */
+ __fnstenv(&env);
+ env.__status &= ~excepts;
+ env.__status |= *flagp & excepts;
+ __fnclex();
+ __fldenv(env);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ mxcsr &= ~excepts;
+ mxcsr |= *flagp & excepts;
+ __ldmxcsr(mxcsr);
+ }
+ }
+
+ return (0);
+}
+
+int
+feraiseexcept(int excepts)
+{
+ fexcept_t ex = excepts;
+
+ fesetexceptflag(&ex, excepts);
+ __fwait();
+ return (0);
+}
+
+int
+fegetenv(fenv_t *envp)
+{
+ __uint32_t mxcsr;
+
+ __fnstenv(envp);
+ /*
+ * fnstenv masks all exceptions, so we need to restore
+ * the old control word to avoid this side effect.
+ */
+ __fldcw(envp->__control);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ envp->__mxcsr_hi = mxcsr >> 16;
+ envp->__mxcsr_lo = mxcsr & 0xffff;
+ }
+ return (0);
+}
+
+int
+feholdexcept(fenv_t *envp)
+{
+ __uint32_t mxcsr;
+ fenv_t env;
+
+ __fnstenv(&env);
+ *envp = env;
+ env.__status &= ~FE_ALL_EXCEPT;
+ env.__control |= FE_ALL_EXCEPT;
+ __fnclex();
+ __fldenv(env);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ envp->__mxcsr_hi = mxcsr >> 16;
+ envp->__mxcsr_lo = mxcsr & 0xffff;
+ mxcsr &= ~FE_ALL_EXCEPT;
+ mxcsr |= FE_ALL_EXCEPT << _SSE_EMASK_SHIFT;
+ __ldmxcsr(mxcsr);
+ }
+ return (0);
+}
+
+int
+feupdateenv(const fenv_t *envp)
+{
+ __uint32_t mxcsr;
+ __uint16_t status;
+
+ __fnstsw(&status);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ } else {
+ mxcsr = 0;
+ }
+ fesetenv(envp);
+ feraiseexcept((mxcsr | status) & FE_ALL_EXCEPT);
+ return (0);
+}
+
+int
+feenableexcept(int mask)
+{
+ __uint32_t mxcsr;
+ __uint16_t control, omask;
+
+ mask &= FE_ALL_EXCEPT;
+ __fnstcw(&control);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ } else {
+ mxcsr = 0;
+ }
+ omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+ if (mask) {
+ control &= ~mask;
+ __fldcw(control);
+ if (__HAS_SSE()) {
+ mxcsr &= ~(mask << _SSE_EMASK_SHIFT);
+ __ldmxcsr(mxcsr);
+ }
+ }
+ return (omask);
+}
+
+int
+fedisableexcept(int mask)
+{
+ __uint32_t mxcsr;
+ __uint16_t control, omask;
+
+ mask &= FE_ALL_EXCEPT;
+ __fnstcw(&control);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ } else {
+ mxcsr = 0;
+ }
+ omask = ~(control | mxcsr >> _SSE_EMASK_SHIFT) & FE_ALL_EXCEPT;
+ if (mask) {
+ control |= mask;
+ __fldcw(control);
+ if (__HAS_SSE()) {
+ mxcsr |= mask << _SSE_EMASK_SHIFT;
+ __ldmxcsr(mxcsr);
+ }
+ }
+ return (omask);
+}
+
+int
+feclearexcept(int excepts)
+{
+ fenv_t env;
+ __uint32_t mxcsr;
+
+ excepts &= FE_ALL_EXCEPT;
+ if (excepts) { /* Do nothing if excepts is 0 */
+ __fnstenv(&env);
+ env.__status &= ~excepts;
+ __fnclex();
+ __fldenv(env);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ mxcsr &= ~excepts;
+ __ldmxcsr(mxcsr);
+ }
+ }
+ return (0);
+}
+
+int
+fegetexceptflag(fexcept_t *flagp, int excepts)
+{
+ __uint32_t mxcsr;
+ __uint16_t status;
+
+ excepts &= FE_ALL_EXCEPT;
+ __fnstsw(&status);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ } else {
+ mxcsr = 0;
+ }
+ *flagp = (status | mxcsr) & excepts;
+ return (0);
+}
+
+int
+fetestexcept(int excepts)
+{
+ __uint32_t mxcsr;
+ __uint16_t status;
+
+ excepts &= FE_ALL_EXCEPT;
+ if (excepts) { /* Do nothing if excepts is 0 */
+ __fnstsw(&status);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ } else {
+ mxcsr = 0;
+ }
+ return ((status | mxcsr) & excepts);
+ }
+ return (0);
+}
+
+int
+fegetround(void)
+{
+ __uint16_t control;
+
+ /*
+ * We assume that the x87 and the SSE unit agree on the
+ * rounding mode. Reading the control word on the x87 turns
+ * out to be about 5 times faster than reading it on the SSE
+ * unit on an Opteron 244.
+ */
+ __fnstcw(&control);
+ return (control & ROUND_MASK);
+}
+
+int
+fesetround(int round)
+{
+ __uint32_t mxcsr;
+ __uint16_t control;
+
+ if (round & ~ROUND_MASK) {
+ return (-1);
+ } else {
+ __fnstcw(&control);
+ control &= ~ROUND_MASK;
+ control |= round;
+ __fldcw(control);
+ if (__HAS_SSE()) {
+ __stmxcsr(&mxcsr);
+ mxcsr &= ~(ROUND_MASK << _SSE_ROUND_SHIFT);
+ mxcsr |= round << _SSE_ROUND_SHIFT;
+ __ldmxcsr(mxcsr);
+ }
+ return (0);
+ }
+}
+
+int
+fesetenv(const fenv_t *envp)
+{
+ fenv_t env = *envp;
+ __uint32_t mxcsr;
+
+ mxcsr = (env.__mxcsr_hi << 16) | (env.__mxcsr_lo);
+ env.__mxcsr_hi = 0xffff;
+ env.__mxcsr_lo = 0xffff;
+ /*
+ * XXX Using fldenvx() instead of fldenv() tells the compiler that this
+ * instruction clobbers the i387 register stack. This happens because
+ * we restore the tag word from the saved environment. Normally, this
+ * would happen anyway and we wouldn't care, because the ABI allows
+ * function calls to clobber the i387 regs. However, fesetenv() is
+ * inlined, so we need to be more careful.
+ */
+ __fldenvx(env);
+ if (__HAS_SSE()) {
+ __ldmxcsr(mxcsr);
+ }
+ return (0);
+}
+
+int
+fegetexcept(void)
+{
+ __uint16_t control;
+
+ /*
+ * We assume that the masks for the x87 and the SSE unit are
+ * the same.
+ */
+ __fnstcw(&control);
+ return (~control & FE_ALL_EXCEPT);
+}
diff --git a/libm/libm.arm.map b/libm/libm.arm.map
new file mode 100644
index 0000000..a61dc2e
--- /dev/null
+++ b/libm/libm.arm.map
@@ -0,0 +1,401 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
+LIBC_DEPRECATED { # arm mips
+ global: # arm mips
+ ___Unwind_Backtrace; # arm
+ ___Unwind_ForcedUnwind; # arm
+ ___Unwind_RaiseException; # arm
+ ___Unwind_Resume; # arm
+ ___Unwind_Resume_or_Rethrow; # arm
+ __adddf3; # arm
+ __aeabi_cdcmpeq; # arm
+ __aeabi_cdcmple; # arm
+ __aeabi_cdrcmple; # arm
+ __aeabi_cfcmpeq; # arm
+ __aeabi_cfcmple; # arm
+ __aeabi_cfrcmple; # arm
+ __aeabi_d2lz; # arm
+ __aeabi_d2uiz; # arm
+ __aeabi_d2ulz; # arm
+ __aeabi_dadd; # arm
+ __aeabi_dcmpeq; # arm
+ __aeabi_dcmpge; # arm
+ __aeabi_dcmpgt; # arm
+ __aeabi_dcmple; # arm
+ __aeabi_dcmplt; # arm
+ __aeabi_ddiv; # arm
+ __aeabi_dmul; # arm
+ __aeabi_drsub; # arm
+ __aeabi_dsub; # arm
+ __aeabi_f2d; # arm
+ __aeabi_f2lz; # arm
+ __aeabi_f2ulz; # arm
+ __aeabi_fcmpeq; # arm
+ __aeabi_fcmpge; # arm
+ __aeabi_fcmpgt; # arm
+ __aeabi_fcmple; # arm
+ __aeabi_fcmplt; # arm
+ __aeabi_i2d; # arm
+ __aeabi_l2d; # arm
+ __aeabi_ui2d; # arm
+ __aeabi_ul2d; # arm
+ __aeabi_unwind_cpp_pr0; # arm
+ __aeabi_unwind_cpp_pr1; # arm
+ __aeabi_unwind_cpp_pr2; # arm
+ __cmpdf2; # arm
+ __cmpsf2; # arm
+ __divdf3; # arm
+ __eqdf2; # arm
+ __eqsf2; # arm
+ __extendsfdf2; # arm
+ __fixdfdi; # arm mips
+ __fixsfdi; # arm mips
+ __fixunsdfdi; # arm mips
+ __fixunsdfsi; # arm
+ __fixunssfdi; # arm mips
+ __floatdidf; # arm
+ __floatsidf; # arm
+ __floatundidf; # arm
+ __floatunsidf; # arm
+ __gedf2; # arm
+ __gesf2; # arm
+ __gnu_Unwind_Backtrace; # arm
+ __gnu_unwind_execute; # arm
+ __gnu_Unwind_ForcedUnwind; # arm
+ __gnu_unwind_frame; # arm
+ __gnu_Unwind_RaiseException; # arm
+ __gnu_Unwind_Restore_VFP; # arm
+ __gnu_Unwind_Restore_VFP_D; # arm
+ __gnu_Unwind_Restore_VFP_D_16_to_31; # arm
+ __gnu_Unwind_Restore_WMMXC; # arm
+ __gnu_Unwind_Restore_WMMXD; # arm
+ __gnu_Unwind_Resume; # arm
+ __gnu_Unwind_Resume_or_Rethrow; # arm
+ __gnu_Unwind_Save_VFP; # arm
+ __gnu_Unwind_Save_VFP_D; # arm
+ __gnu_Unwind_Save_VFP_D_16_to_31; # arm
+ __gnu_Unwind_Save_WMMXC; # arm
+ __gnu_Unwind_Save_WMMXD; # arm
+ __gtdf2; # arm
+ __gtsf2; # arm
+ __ledf2; # arm
+ __lesf2; # arm
+ __ltdf2; # arm
+ __ltsf2; # arm
+ __muldf3; # arm
+ __nedf2; # arm
+ __nesf2; # arm
+ __restore_core_regs; # arm
+ __subdf3; # arm
+ _Unwind_Backtrace; # arm
+ _Unwind_Complete; # arm
+ _Unwind_DeleteException; # arm
+ _Unwind_ForcedUnwind; # arm
+ _Unwind_GetCFA; # arm
+ _Unwind_GetDataRelBase; # arm
+ _Unwind_GetLanguageSpecificData; # arm
+ _Unwind_GetRegionStart; # arm
+ _Unwind_GetTextRelBase; # arm
+ _Unwind_RaiseException; # arm
+ _Unwind_Resume; # arm
+ _Unwind_Resume_or_Rethrow; # arm
+ _Unwind_VRS_Get; # arm
+ _Unwind_VRS_Pop; # arm
+ _Unwind_VRS_Set; # arm
+ restore_core_regs; # arm
+} LIBC_O; # arm mips
diff --git a/libm/libm.arm64.map b/libm/libm.arm64.map
new file mode 100644
index 0000000..11032ca
--- /dev/null
+++ b/libm/libm.arm64.map
@@ -0,0 +1,297 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
diff --git a/libm/libm.map.txt b/libm/libm.map.txt
new file mode 100644
index 0000000..66dfd19
--- /dev/null
+++ b/libm/libm.map.txt
@@ -0,0 +1,400 @@
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
+LIBC_DEPRECATED { # arm mips
+ global: # arm mips
+ ___Unwind_Backtrace; # arm
+ ___Unwind_ForcedUnwind; # arm
+ ___Unwind_RaiseException; # arm
+ ___Unwind_Resume; # arm
+ ___Unwind_Resume_or_Rethrow; # arm
+ __adddf3; # arm
+ __aeabi_cdcmpeq; # arm
+ __aeabi_cdcmple; # arm
+ __aeabi_cdrcmple; # arm
+ __aeabi_cfcmpeq; # arm
+ __aeabi_cfcmple; # arm
+ __aeabi_cfrcmple; # arm
+ __aeabi_d2lz; # arm
+ __aeabi_d2uiz; # arm
+ __aeabi_d2ulz; # arm
+ __aeabi_dadd; # arm
+ __aeabi_dcmpeq; # arm
+ __aeabi_dcmpge; # arm
+ __aeabi_dcmpgt; # arm
+ __aeabi_dcmple; # arm
+ __aeabi_dcmplt; # arm
+ __aeabi_ddiv; # arm
+ __aeabi_dmul; # arm
+ __aeabi_drsub; # arm
+ __aeabi_dsub; # arm
+ __aeabi_f2d; # arm
+ __aeabi_f2lz; # arm
+ __aeabi_f2ulz; # arm
+ __aeabi_fcmpeq; # arm
+ __aeabi_fcmpge; # arm
+ __aeabi_fcmpgt; # arm
+ __aeabi_fcmple; # arm
+ __aeabi_fcmplt; # arm
+ __aeabi_i2d; # arm
+ __aeabi_l2d; # arm
+ __aeabi_ui2d; # arm
+ __aeabi_ul2d; # arm
+ __aeabi_unwind_cpp_pr0; # arm
+ __aeabi_unwind_cpp_pr1; # arm
+ __aeabi_unwind_cpp_pr2; # arm
+ __cmpdf2; # arm
+ __cmpsf2; # arm
+ __divdf3; # arm
+ __eqdf2; # arm
+ __eqsf2; # arm
+ __extendsfdf2; # arm
+ __fixdfdi; # arm mips
+ __fixsfdi; # arm mips
+ __fixunsdfdi; # arm mips
+ __fixunsdfsi; # arm
+ __fixunssfdi; # arm mips
+ __floatdidf; # arm
+ __floatsidf; # arm
+ __floatundidf; # arm
+ __floatunsidf; # arm
+ __gedf2; # arm
+ __gesf2; # arm
+ __gnu_Unwind_Backtrace; # arm
+ __gnu_unwind_execute; # arm
+ __gnu_Unwind_ForcedUnwind; # arm
+ __gnu_unwind_frame; # arm
+ __gnu_Unwind_RaiseException; # arm
+ __gnu_Unwind_Restore_VFP; # arm
+ __gnu_Unwind_Restore_VFP_D; # arm
+ __gnu_Unwind_Restore_VFP_D_16_to_31; # arm
+ __gnu_Unwind_Restore_WMMXC; # arm
+ __gnu_Unwind_Restore_WMMXD; # arm
+ __gnu_Unwind_Resume; # arm
+ __gnu_Unwind_Resume_or_Rethrow; # arm
+ __gnu_Unwind_Save_VFP; # arm
+ __gnu_Unwind_Save_VFP_D; # arm
+ __gnu_Unwind_Save_VFP_D_16_to_31; # arm
+ __gnu_Unwind_Save_WMMXC; # arm
+ __gnu_Unwind_Save_WMMXD; # arm
+ __gtdf2; # arm
+ __gtsf2; # arm
+ __ledf2; # arm
+ __lesf2; # arm
+ __ltdf2; # arm
+ __ltsf2; # arm
+ __muldf3; # arm
+ __nedf2; # arm
+ __nesf2; # arm
+ __restore_core_regs; # arm
+ __subdf3; # arm
+ _Unwind_Backtrace; # arm
+ _Unwind_Complete; # arm
+ _Unwind_DeleteException; # arm
+ _Unwind_ForcedUnwind; # arm
+ _Unwind_GetCFA; # arm
+ _Unwind_GetDataRelBase; # arm
+ _Unwind_GetLanguageSpecificData; # arm
+ _Unwind_GetRegionStart; # arm
+ _Unwind_GetTextRelBase; # arm
+ _Unwind_RaiseException; # arm
+ _Unwind_Resume; # arm
+ _Unwind_Resume_or_Rethrow; # arm
+ _Unwind_VRS_Get; # arm
+ _Unwind_VRS_Pop; # arm
+ _Unwind_VRS_Set; # arm
+ restore_core_regs; # arm
+} LIBC_O; # arm mips
diff --git a/libm/libm.mips.map b/libm/libm.mips.map
new file mode 100644
index 0000000..8353627
--- /dev/null
+++ b/libm/libm.mips.map
@@ -0,0 +1,304 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
+LIBC_DEPRECATED { # arm mips
+ global: # arm mips
+ __fixdfdi; # arm mips
+ __fixsfdi; # arm mips
+ __fixunsdfdi; # arm mips
+ __fixunssfdi; # arm mips
+} LIBC_O; # arm mips
diff --git a/libm/libm.mips64.map b/libm/libm.mips64.map
new file mode 100644
index 0000000..11032ca
--- /dev/null
+++ b/libm/libm.mips64.map
@@ -0,0 +1,297 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
diff --git a/libm/libm.x86.map b/libm/libm.x86.map
new file mode 100644
index 0000000..11032ca
--- /dev/null
+++ b/libm/libm.x86.map
@@ -0,0 +1,297 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
diff --git a/libm/libm.x86_64.map b/libm/libm.x86_64.map
new file mode 100644
index 0000000..11032ca
--- /dev/null
+++ b/libm/libm.x86_64.map
@@ -0,0 +1,297 @@
+# Generated by genversion-scripts.py. Do not edit.
+LIBC {
+ global:
+ __fe_dfl_env;
+ __signbit;
+ __signbitf;
+ __signbitl;
+ acos;
+ acosf;
+ acosh;
+ acoshf;
+ acoshl;
+ acosl;
+ asin;
+ asinf;
+ asinh;
+ asinhf;
+ asinhl;
+ asinl;
+ atan;
+ atan2;
+ atan2f;
+ atan2l;
+ atanf;
+ atanh;
+ atanhf;
+ atanhl;
+ atanl;
+ cabs;
+ cabsf;
+ cabsl;
+ cacos;
+ cacosf;
+ cacosh;
+ cacoshf;
+ carg;
+ cargf;
+ cargl;
+ casin;
+ casinf;
+ casinh;
+ casinhf;
+ catan;
+ catanf;
+ catanh;
+ catanhf;
+ cbrt;
+ cbrtf;
+ cbrtl;
+ ccos;
+ ccosf;
+ ccosh;
+ ccoshf;
+ ceil;
+ ceilf;
+ ceill;
+ cexp;
+ cexpf;
+ cimag;
+ cimagf;
+ cimagl;
+ conj;
+ conjf;
+ conjl;
+ copysign;
+ copysignf;
+ copysignl;
+ cos;
+ cosf;
+ cosh;
+ coshf;
+ coshl;
+ cosl;
+ cproj;
+ cprojf;
+ cprojl;
+ creal;
+ crealf;
+ creall;
+ csin;
+ csinf;
+ csinh;
+ csinhf;
+ csqrt;
+ csqrtf;
+ csqrtl;
+ ctan;
+ ctanf;
+ ctanh;
+ ctanhf;
+ drem;
+ dremf;
+ erf;
+ erfc;
+ erfcf;
+ erfcl;
+ erff;
+ erfl;
+ exp;
+ exp2;
+ exp2f;
+ exp2l;
+ expf;
+ expl;
+ expm1;
+ expm1f;
+ expm1l;
+ fabs;
+ fabsf;
+ fabsl;
+ fdim;
+ fdimf;
+ fdiml;
+ feclearexcept;
+ fedisableexcept;
+ feenableexcept;
+ fegetenv;
+ fegetexcept;
+ fegetexceptflag;
+ fegetround;
+ feholdexcept;
+ feraiseexcept;
+ fesetenv;
+ fesetexceptflag;
+ fesetround;
+ fetestexcept;
+ feupdateenv;
+ finite;
+ finitef;
+ floor;
+ floorf;
+ floorl;
+ fma;
+ fmaf;
+ fmal;
+ fmax;
+ fmaxf;
+ fmaxl;
+ fmin;
+ fminf;
+ fminl;
+ fmod;
+ fmodf;
+ fmodl;
+ frexp;
+ frexpf;
+ frexpl;
+ gamma;
+ gamma_r;
+ gammaf;
+ gammaf_r;
+ hypot;
+ hypotf;
+ hypotl;
+ ilogb;
+ ilogbf;
+ ilogbl;
+ j0;
+ j0f;
+ j1;
+ j1f;
+ jn;
+ jnf;
+ ldexpf;
+ ldexpl;
+ lgamma;
+ lgamma_r;
+ lgammaf;
+ lgammaf_r;
+ lgammal;
+ lgammal_r;
+ llrint;
+ llrintf;
+ llrintl;
+ llround;
+ llroundf;
+ llroundl;
+ log;
+ log10;
+ log10f;
+ log10l;
+ log1p;
+ log1pf;
+ log1pl;
+ log2;
+ log2f;
+ log2l;
+ logb;
+ logbf;
+ logbl;
+ logf;
+ logl;
+ lrint;
+ lrintf;
+ lrintl;
+ lround;
+ lroundf;
+ lroundl;
+ modf;
+ modff;
+ modfl;
+ nan;
+ nanf;
+ nanl;
+ nearbyint;
+ nearbyintf;
+ nearbyintl;
+ nextafter;
+ nextafterf;
+ nextafterl;
+ nexttoward;
+ nexttowardf;
+ nexttowardl;
+ pow;
+ powf;
+ powl;
+ remainder;
+ remainderf;
+ remainderl;
+ remquo;
+ remquof;
+ remquol;
+ rint;
+ rintf;
+ rintl;
+ round;
+ roundf;
+ roundl;
+ scalb;
+ scalbf;
+ scalbln;
+ scalblnf;
+ scalblnl;
+ scalbn;
+ scalbnf;
+ scalbnl;
+ signgam;
+ significand;
+ significandf;
+ significandl;
+ sin;
+ sincos;
+ sincosf;
+ sincosl;
+ sinf;
+ sinh;
+ sinhf;
+ sinhl;
+ sinl;
+ sqrt;
+ sqrtf;
+ sqrtl;
+ tan;
+ tanf;
+ tanh;
+ tanhf;
+ tanhl;
+ tanl;
+ tgamma;
+ tgammaf;
+ tgammal;
+ trunc;
+ truncf;
+ truncl;
+ y0;
+ y0f;
+ y1;
+ y1f;
+ yn;
+ ynf;
+ local:
+ *;
+};
+
+LIBC_O {
+ global:
+ cacoshl;
+ cacosl;
+ casinhl;
+ casinl;
+ catanhl;
+ catanl;
+ ccoshl;
+ ccosl;
+ cexpl;
+ clog;
+ clogf;
+ clogl;
+ cpow;
+ cpowf;
+ cpowl;
+ csinhl;
+ csinl;
+ ctanhl;
+ ctanl;
+} LIBC;
+
diff --git a/libm/mips/fenv.c b/libm/mips/fenv.c
new file mode 100644
index 0000000..aacd526
--- /dev/null
+++ b/libm/mips/fenv.c
@@ -0,0 +1,156 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: src/lib/msun/mips/fenv.c,v 1.1 2008/04/26 12:20:29 imp Exp $
+ */
+
+#include <fenv.h>
+
+#define FCSR_CAUSE_SHIFT 10
+#define FCSR_ENABLE_SHIFT 5
+#define FCSR_ENABLE_MASK (FE_ALL_EXCEPT << FCSR_ENABLE_SHIFT)
+
+#define FCSR_RMASK 0x3
+
+/*
+ * Hopefully the system ID byte is immutable, so it's valid to use
+ * this as a default environment.
+ */
+const fenv_t __fe_dfl_env = 0;
+
+int fegetenv(fenv_t* __envp) {
+ fenv_t _fcsr = 0;
+#ifdef __mips_hard_float
+ __asm__ __volatile__("cfc1 %0,$31" : "=r" (_fcsr));
+#endif
+ *__envp = _fcsr;
+ return 0;
+}
+
+int fesetenv(const fenv_t* __envp) {
+ fenv_t _fcsr = *__envp;
+#ifdef __mips_hard_float
+ __asm__ __volatile__("ctc1 %0,$31" : : "r" (_fcsr));
+#endif
+ return 0;
+}
+
+int feclearexcept(int __excepts) {
+ fexcept_t __fcsr;
+ fegetenv(&__fcsr);
+ __excepts &= FE_ALL_EXCEPT;
+ __fcsr &= ~(__excepts | (__excepts << FCSR_CAUSE_SHIFT));
+ fesetenv(&__fcsr);
+ return 0;
+}
+
+int fegetexceptflag(fexcept_t* __flagp, int __excepts) {
+ fexcept_t __fcsr;
+ fegetenv(&__fcsr);
+ *__flagp = __fcsr & __excepts & FE_ALL_EXCEPT;
+ return 0;
+}
+
+int fesetexceptflag(const fexcept_t* __flagp, int __excepts) {
+ fexcept_t __fcsr;
+ fegetenv(&__fcsr);
+ /* Ensure that flags are all legal */
+ __excepts &= FE_ALL_EXCEPT;
+ __fcsr &= ~__excepts;
+ __fcsr |= *__flagp & __excepts;
+ fesetenv(&__fcsr);
+ return 0;
+}
+
+int feraiseexcept(int __excepts) {
+ fexcept_t __fcsr;
+ fegetenv(&__fcsr);
+ /* Ensure that flags are all legal */
+ __excepts &= FE_ALL_EXCEPT;
+ /* Cause bit needs to be set as well for generating the exception*/
+ __fcsr |= __excepts | (__excepts << FCSR_CAUSE_SHIFT);
+ fesetenv(&__fcsr);
+ return 0;
+}
+
+int fetestexcept(int __excepts) {
+ fexcept_t __FCSR;
+ fegetenv(&__FCSR);
+ return (__FCSR & __excepts & FE_ALL_EXCEPT);
+}
+
+int fegetround(void) {
+ fenv_t _fcsr;
+ fegetenv(&_fcsr);
+ return (_fcsr & FCSR_RMASK);
+}
+
+int fesetround(int __round) {
+ fenv_t _fcsr;
+ fegetenv(&_fcsr);
+ _fcsr &= ~FCSR_RMASK;
+ _fcsr |= (__round & FCSR_RMASK);
+ fesetenv(&_fcsr);
+ return 0;
+}
+
+int feholdexcept(fenv_t* __envp) {
+ fenv_t __env;
+ fegetenv(&__env);
+ *__envp = __env;
+ __env &= ~(FE_ALL_EXCEPT | FCSR_ENABLE_MASK);
+ fesetenv(&__env);
+ return 0;
+}
+
+int feupdateenv(const fenv_t* __envp) {
+ fexcept_t __fcsr;
+ fegetenv(&__fcsr);
+ fesetenv(__envp);
+ feraiseexcept(__fcsr & FE_ALL_EXCEPT);
+ return 0;
+}
+
+int feenableexcept(int __mask) {
+ fenv_t __old_fcsr, __new_fcsr;
+ fegetenv(&__old_fcsr);
+ __new_fcsr = __old_fcsr | (__mask & FE_ALL_EXCEPT) << FCSR_ENABLE_SHIFT;
+ fesetenv(&__new_fcsr);
+ return ((__old_fcsr >> FCSR_ENABLE_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fedisableexcept(int __mask) {
+ fenv_t __old_fcsr, __new_fcsr;
+ fegetenv(&__old_fcsr);
+ __new_fcsr = __old_fcsr & ~((__mask & FE_ALL_EXCEPT) << FCSR_ENABLE_SHIFT);
+ fesetenv(&__new_fcsr);
+ return ((__old_fcsr >> FCSR_ENABLE_SHIFT) & FE_ALL_EXCEPT);
+}
+
+int fegetexcept(void) {
+ fenv_t __fcsr;
+ fegetenv(&__fcsr);
+ return ((__fcsr & FCSR_ENABLE_MASK) >> FCSR_ENABLE_SHIFT);
+}
diff --git a/libm/signbit.c b/libm/signbit.c
new file mode 100644
index 0000000..b98bf45
--- /dev/null
+++ b/libm/signbit.c
@@ -0,0 +1,59 @@
+/*-
+ * Copyright (c) 2003 Mike Barcroft <mike@FreeBSD.org>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+
+int __signbit(double d)
+{
+ union IEEEd2bits u;
+
+ u.d = d;
+ return (u.bits.sign);
+}
+
+int __signbitf(float f)
+{
+ union IEEEf2bits u;
+
+ u.f = f;
+ return (u.bits.sign);
+}
+
+#ifdef __LP64__
+int __signbitl(long double e)
+{
+ union IEEEl2bits u;
+
+ u.e = e;
+ return (u.bits.sign);
+}
+#else // __LP32__
+__weak_reference(__signbit, __signbitl);
+#endif // __LP64__
diff --git a/libm/significandl.c b/libm/significandl.c
new file mode 100644
index 0000000..c5d7dd4
--- /dev/null
+++ b/libm/significandl.c
@@ -0,0 +1,32 @@
+/*
+ * Copyright (C) 2014 The Android Open Source Project
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ */
+
+#include <math.h>
+
+long double significandl(long double x) {
+ return scalbnl(x, -ilogbl(x));
+}
diff --git a/libm/sincos.c b/libm/sincos.c
new file mode 100644
index 0000000..a5608cf
--- /dev/null
+++ b/libm/sincos.c
@@ -0,0 +1,51 @@
+/*-
+ * Copyright (C) 2010 The Android Open Source Project
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#define _GNU_SOURCE 1
+#include <math.h>
+
+// Disable sincos optimization for all functions in this file,
+// otherwise gcc would generate infinite calls.
+// Refer to gcc PR46926.
+// -fno-builtin-sin or -fno-builtin-cos can disable sincos optimization,
+// but these two options do not work inside optimize pragma in-file.
+// Thus we just enforce -O0 when compiling this file.
+#pragma GCC optimize ("O0")
+
+void sincos(double x, double* p_sin, double* p_cos) {
+ *p_sin = sin(x);
+ *p_cos = cos(x);
+}
+
+void sincosf(float x, float* p_sinf, float* p_cosf) {
+ *p_sinf = sinf(x);
+ *p_cosf = cosf(x);
+}
+
+void sincosl(long double x, long double* p_sinl, long double* p_cosl) {
+ *p_sinl = sinl(x);
+ *p_cosl = cosl(x);
+}
diff --git a/libm/upstream-freebsd/android/include/machine/endian.h b/libm/upstream-freebsd/android/include/machine/endian.h
new file mode 100644
index 0000000..2dc4d83
--- /dev/null
+++ b/libm/upstream-freebsd/android/include/machine/endian.h
@@ -0,0 +1 @@
+#include <endian.h>
diff --git a/libm/upstream-freebsd/lib/msun/bsdsrc/b_exp.c b/libm/upstream-freebsd/lib/msun/bsdsrc/b_exp.c
new file mode 100644
index 0000000..4400992
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/bsdsrc/b_exp.c
@@ -0,0 +1,175 @@
+/*
+ * Copyright (c) 1985, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)exp.c 8.1 (Berkeley) 6/4/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+
+/* EXP(X)
+ * RETURN THE EXPONENTIAL OF X
+ * DOUBLE PRECISION (IEEE 53 bits, VAX D FORMAT 56 BITS)
+ * CODED IN C BY K.C. NG, 1/19/85;
+ * REVISED BY K.C. NG on 2/6/85, 2/15/85, 3/7/85, 3/24/85, 4/16/85, 6/14/86.
+ *
+ * Required system supported functions:
+ * scalb(x,n)
+ * copysign(x,y)
+ * finite(x)
+ *
+ * Method:
+ * 1. Argument Reduction: given the input x, find r and integer k such
+ * that
+ * x = k*ln2 + r, |r| <= 0.5*ln2 .
+ * r will be represented as r := z+c for better accuracy.
+ *
+ * 2. Compute exp(r) by
+ *
+ * exp(r) = 1 + r + r*R1/(2-R1),
+ * where
+ * R1 = x - x^2*(p1+x^2*(p2+x^2*(p3+x^2*(p4+p5*x^2)))).
+ *
+ * 3. exp(x) = 2^k * exp(r) .
+ *
+ * Special cases:
+ * exp(INF) is INF, exp(NaN) is NaN;
+ * exp(-INF)= 0;
+ * for finite argument, only exp(0)=1 is exact.
+ *
+ * Accuracy:
+ * exp(x) returns the exponential of x nearly rounded. In a test run
+ * with 1,156,000 random arguments on a VAX, the maximum observed
+ * error was 0.869 ulps (units in the last place).
+ */
+
+#include "mathimpl.h"
+
+static const double p1 = 0x1.555555555553ep-3;
+static const double p2 = -0x1.6c16c16bebd93p-9;
+static const double p3 = 0x1.1566aaf25de2cp-14;
+static const double p4 = -0x1.bbd41c5d26bf1p-20;
+static const double p5 = 0x1.6376972bea4d0p-25;
+static const double ln2hi = 0x1.62e42fee00000p-1;
+static const double ln2lo = 0x1.a39ef35793c76p-33;
+static const double lnhuge = 0x1.6602b15b7ecf2p9;
+static const double lntiny = -0x1.77af8ebeae354p9;
+static const double invln2 = 0x1.71547652b82fep0;
+
+#if 0
+double exp(x)
+double x;
+{
+ double z,hi,lo,c;
+ int k;
+
+#if !defined(vax)&&!defined(tahoe)
+ if(x!=x) return(x); /* x is NaN */
+#endif /* !defined(vax)&&!defined(tahoe) */
+ if( x <= lnhuge ) {
+ if( x >= lntiny ) {
+
+ /* argument reduction : x --> x - k*ln2 */
+
+ k=invln2*x+copysign(0.5,x); /* k=NINT(x/ln2) */
+
+ /* express x-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+ hi=x-k*ln2hi;
+ x=hi-(lo=k*ln2lo);
+
+ /* return 2^k*[1+x+x*c/(2+c)] */
+ z=x*x;
+ c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+ return scalb(1.0+(hi-(lo-(x*c)/(2.0-c))),k);
+
+ }
+ /* end of x > lntiny */
+
+ else
+ /* exp(-big#) underflows to zero */
+ if(finite(x)) return(scalb(1.0,-5000));
+
+ /* exp(-INF) is zero */
+ else return(0.0);
+ }
+ /* end of x < lnhuge */
+
+ else
+ /* exp(INF) is INF, exp(+big#) overflows to INF */
+ return( finite(x) ? scalb(1.0,5000) : x);
+}
+#endif
+
+/* returns exp(r = x + c) for |c| < |x| with no overlap. */
+
+double __exp__D(x, c)
+double x, c;
+{
+ double z,hi,lo;
+ int k;
+
+ if (x != x) /* x is NaN */
+ return(x);
+ if ( x <= lnhuge ) {
+ if ( x >= lntiny ) {
+
+ /* argument reduction : x --> x - k*ln2 */
+ z = invln2*x;
+ k = z + copysign(.5, x);
+
+ /* express (x+c)-k*ln2 as hi-lo and let x=hi-lo rounded */
+
+ hi=(x-k*ln2hi); /* Exact. */
+ x= hi - (lo = k*ln2lo-c);
+ /* return 2^k*[1+x+x*c/(2+c)] */
+ z=x*x;
+ c= x - z*(p1+z*(p2+z*(p3+z*(p4+z*p5))));
+ c = (x*c)/(2.0-c);
+
+ return scalb(1.+(hi-(lo - c)), k);
+ }
+ /* end of x > lntiny */
+
+ else
+ /* exp(-big#) underflows to zero */
+ if(finite(x)) return(scalb(1.0,-5000));
+
+ /* exp(-INF) is zero */
+ else return(0.0);
+ }
+ /* end of x < lnhuge */
+
+ else
+ /* exp(INF) is INF, exp(+big#) overflows to INF */
+ return( finite(x) ? scalb(1.0,5000) : x);
+}
diff --git a/libm/upstream-freebsd/lib/msun/bsdsrc/b_log.c b/libm/upstream-freebsd/lib/msun/bsdsrc/b_log.c
new file mode 100644
index 0000000..5a4b964
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/bsdsrc/b_log.c
@@ -0,0 +1,471 @@
+/*
+ * Copyright (c) 1992, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)log.c 8.2 (Berkeley) 11/30/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+#include <errno.h>
+
+#include "mathimpl.h"
+
+/* Table-driven natural logarithm.
+ *
+ * This code was derived, with minor modifications, from:
+ * Peter Tang, "Table-Driven Implementation of the
+ * Logarithm in IEEE Floating-Point arithmetic." ACM Trans.
+ * Math Software, vol 16. no 4, pp 378-400, Dec 1990).
+ *
+ * Calculates log(2^m*F*(1+f/F)), |f/j| <= 1/256,
+ * where F = j/128 for j an integer in [0, 128].
+ *
+ * log(2^m) = log2_hi*m + log2_tail*m
+ * since m is an integer, the dominant term is exact.
+ * m has at most 10 digits (for subnormal numbers),
+ * and log2_hi has 11 trailing zero bits.
+ *
+ * log(F) = logF_hi[j] + logF_lo[j] is in tabular form in log_table.h
+ * logF_hi[] + 512 is exact.
+ *
+ * log(1+f/F) = 2*f/(2*F + f) + 1/12 * (2*f/(2*F + f))**3 + ...
+ * the leading term is calculated to extra precision in two
+ * parts, the larger of which adds exactly to the dominant
+ * m and F terms.
+ * There are two cases:
+ * 1. when m, j are non-zero (m | j), use absolute
+ * precision for the leading term.
+ * 2. when m = j = 0, |1-x| < 1/256, and log(x) ~= (x-1).
+ * In this case, use a relative precision of 24 bits.
+ * (This is done differently in the original paper)
+ *
+ * Special cases:
+ * 0 return signalling -Inf
+ * neg return signalling NaN
+ * +Inf return +Inf
+*/
+
+#define N 128
+
+/* Table of log(Fj) = logF_head[j] + logF_tail[j], for Fj = 1+j/128.
+ * Used for generation of extend precision logarithms.
+ * The constant 35184372088832 is 2^45, so the divide is exact.
+ * It ensures correct reading of logF_head, even for inaccurate
+ * decimal-to-binary conversion routines. (Everybody gets the
+ * right answer for integers less than 2^53.)
+ * Values for log(F) were generated using error < 10^-57 absolute
+ * with the bc -l package.
+*/
+static double A1 = .08333333333333178827;
+static double A2 = .01250000000377174923;
+static double A3 = .002232139987919447809;
+static double A4 = .0004348877777076145742;
+
+static double logF_head[N+1] = {
+ 0.,
+ .007782140442060381246,
+ .015504186535963526694,
+ .023167059281547608406,
+ .030771658666765233647,
+ .038318864302141264488,
+ .045809536031242714670,
+ .053244514518837604555,
+ .060624621816486978786,
+ .067950661908525944454,
+ .075223421237524235039,
+ .082443669210988446138,
+ .089612158689760690322,
+ .096729626458454731618,
+ .103796793681567578460,
+ .110814366340264314203,
+ .117783035656430001836,
+ .124703478501032805070,
+ .131576357788617315236,
+ .138402322859292326029,
+ .145182009844575077295,
+ .151916042025732167530,
+ .158605030176659056451,
+ .165249572895390883786,
+ .171850256926518341060,
+ .178407657472689606947,
+ .184922338493834104156,
+ .191394852999565046047,
+ .197825743329758552135,
+ .204215541428766300668,
+ .210564769107350002741,
+ .216873938300523150246,
+ .223143551314024080056,
+ .229374101064877322642,
+ .235566071312860003672,
+ .241719936886966024758,
+ .247836163904594286577,
+ .253915209980732470285,
+ .259957524436686071567,
+ .265963548496984003577,
+ .271933715484010463114,
+ .277868451003087102435,
+ .283768173130738432519,
+ .289633292582948342896,
+ .295464212893421063199,
+ .301261330578199704177,
+ .307025035294827830512,
+ .312755710004239517729,
+ .318453731118097493890,
+ .324119468654316733591,
+ .329753286372579168528,
+ .335355541920762334484,
+ .340926586970454081892,
+ .346466767346100823488,
+ .351976423156884266063,
+ .357455888922231679316,
+ .362905493689140712376,
+ .368325561158599157352,
+ .373716409793814818840,
+ .379078352934811846353,
+ .384411698910298582632,
+ .389716751140440464951,
+ .394993808240542421117,
+ .400243164127459749579,
+ .405465108107819105498,
+ .410659924985338875558,
+ .415827895143593195825,
+ .420969294644237379543,
+ .426084395310681429691,
+ .431173464818130014464,
+ .436236766774527495726,
+ .441274560805140936281,
+ .446287102628048160113,
+ .451274644139630254358,
+ .456237433481874177232,
+ .461175715122408291790,
+ .466089729924533457960,
+ .470979715219073113985,
+ .475845904869856894947,
+ .480688529345570714212,
+ .485507815781602403149,
+ .490303988045525329653,
+ .495077266798034543171,
+ .499827869556611403822,
+ .504556010751912253908,
+ .509261901790523552335,
+ .513945751101346104405,
+ .518607764208354637958,
+ .523248143765158602036,
+ .527867089620485785417,
+ .532464798869114019908,
+ .537041465897345915436,
+ .541597282432121573947,
+ .546132437597407260909,
+ .550647117952394182793,
+ .555141507540611200965,
+ .559615787935399566777,
+ .564070138285387656651,
+ .568504735352689749561,
+ .572919753562018740922,
+ .577315365035246941260,
+ .581691739635061821900,
+ .586049045003164792433,
+ .590387446602107957005,
+ .594707107746216934174,
+ .599008189645246602594,
+ .603290851438941899687,
+ .607555250224322662688,
+ .611801541106615331955,
+ .616029877215623855590,
+ .620240409751204424537,
+ .624433288012369303032,
+ .628608659422752680256,
+ .632766669570628437213,
+ .636907462236194987781,
+ .641031179420679109171,
+ .645137961373620782978,
+ .649227946625615004450,
+ .653301272011958644725,
+ .657358072709030238911,
+ .661398482245203922502,
+ .665422632544505177065,
+ .669430653942981734871,
+ .673422675212350441142,
+ .677398823590920073911,
+ .681359224807238206267,
+ .685304003098281100392,
+ .689233281238557538017,
+ .693147180560117703862
+};
+
+static double logF_tail[N+1] = {
+ 0.,
+ -.00000000000000543229938420049,
+ .00000000000000172745674997061,
+ -.00000000000001323017818229233,
+ -.00000000000001154527628289872,
+ -.00000000000000466529469958300,
+ .00000000000005148849572685810,
+ -.00000000000002532168943117445,
+ -.00000000000005213620639136504,
+ -.00000000000001819506003016881,
+ .00000000000006329065958724544,
+ .00000000000008614512936087814,
+ -.00000000000007355770219435028,
+ .00000000000009638067658552277,
+ .00000000000007598636597194141,
+ .00000000000002579999128306990,
+ -.00000000000004654729747598444,
+ -.00000000000007556920687451336,
+ .00000000000010195735223708472,
+ -.00000000000017319034406422306,
+ -.00000000000007718001336828098,
+ .00000000000010980754099855238,
+ -.00000000000002047235780046195,
+ -.00000000000008372091099235912,
+ .00000000000014088127937111135,
+ .00000000000012869017157588257,
+ .00000000000017788850778198106,
+ .00000000000006440856150696891,
+ .00000000000016132822667240822,
+ -.00000000000007540916511956188,
+ -.00000000000000036507188831790,
+ .00000000000009120937249914984,
+ .00000000000018567570959796010,
+ -.00000000000003149265065191483,
+ -.00000000000009309459495196889,
+ .00000000000017914338601329117,
+ -.00000000000001302979717330866,
+ .00000000000023097385217586939,
+ .00000000000023999540484211737,
+ .00000000000015393776174455408,
+ -.00000000000036870428315837678,
+ .00000000000036920375082080089,
+ -.00000000000009383417223663699,
+ .00000000000009433398189512690,
+ .00000000000041481318704258568,
+ -.00000000000003792316480209314,
+ .00000000000008403156304792424,
+ -.00000000000034262934348285429,
+ .00000000000043712191957429145,
+ -.00000000000010475750058776541,
+ -.00000000000011118671389559323,
+ .00000000000037549577257259853,
+ .00000000000013912841212197565,
+ .00000000000010775743037572640,
+ .00000000000029391859187648000,
+ -.00000000000042790509060060774,
+ .00000000000022774076114039555,
+ .00000000000010849569622967912,
+ -.00000000000023073801945705758,
+ .00000000000015761203773969435,
+ .00000000000003345710269544082,
+ -.00000000000041525158063436123,
+ .00000000000032655698896907146,
+ -.00000000000044704265010452446,
+ .00000000000034527647952039772,
+ -.00000000000007048962392109746,
+ .00000000000011776978751369214,
+ -.00000000000010774341461609578,
+ .00000000000021863343293215910,
+ .00000000000024132639491333131,
+ .00000000000039057462209830700,
+ -.00000000000026570679203560751,
+ .00000000000037135141919592021,
+ -.00000000000017166921336082431,
+ -.00000000000028658285157914353,
+ -.00000000000023812542263446809,
+ .00000000000006576659768580062,
+ -.00000000000028210143846181267,
+ .00000000000010701931762114254,
+ .00000000000018119346366441110,
+ .00000000000009840465278232627,
+ -.00000000000033149150282752542,
+ -.00000000000018302857356041668,
+ -.00000000000016207400156744949,
+ .00000000000048303314949553201,
+ -.00000000000071560553172382115,
+ .00000000000088821239518571855,
+ -.00000000000030900580513238244,
+ -.00000000000061076551972851496,
+ .00000000000035659969663347830,
+ .00000000000035782396591276383,
+ -.00000000000046226087001544578,
+ .00000000000062279762917225156,
+ .00000000000072838947272065741,
+ .00000000000026809646615211673,
+ -.00000000000010960825046059278,
+ .00000000000002311949383800537,
+ -.00000000000058469058005299247,
+ -.00000000000002103748251144494,
+ -.00000000000023323182945587408,
+ -.00000000000042333694288141916,
+ -.00000000000043933937969737844,
+ .00000000000041341647073835565,
+ .00000000000006841763641591466,
+ .00000000000047585534004430641,
+ .00000000000083679678674757695,
+ -.00000000000085763734646658640,
+ .00000000000021913281229340092,
+ -.00000000000062242842536431148,
+ -.00000000000010983594325438430,
+ .00000000000065310431377633651,
+ -.00000000000047580199021710769,
+ -.00000000000037854251265457040,
+ .00000000000040939233218678664,
+ .00000000000087424383914858291,
+ .00000000000025218188456842882,
+ -.00000000000003608131360422557,
+ -.00000000000050518555924280902,
+ .00000000000078699403323355317,
+ -.00000000000067020876961949060,
+ .00000000000016108575753932458,
+ .00000000000058527188436251509,
+ -.00000000000035246757297904791,
+ -.00000000000018372084495629058,
+ .00000000000088606689813494916,
+ .00000000000066486268071468700,
+ .00000000000063831615170646519,
+ .00000000000025144230728376072,
+ -.00000000000017239444525614834
+};
+
+#if 0
+double
+#ifdef _ANSI_SOURCE
+log(double x)
+#else
+log(x) double x;
+#endif
+{
+ int m, j;
+ double F, f, g, q, u, u2, v, zero = 0.0, one = 1.0;
+ volatile double u1;
+
+ /* Catch special cases */
+ if (x <= 0)
+ if (x == zero) /* log(0) = -Inf */
+ return (-one/zero);
+ else /* log(neg) = NaN */
+ return (zero/zero);
+ else if (!finite(x))
+ return (x+x); /* x = NaN, Inf */
+
+ /* Argument reduction: 1 <= g < 2; x/2^m = g; */
+ /* y = F*(1 + f/F) for |f| <= 2^-8 */
+
+ m = logb(x);
+ g = ldexp(x, -m);
+ if (m == -1022) {
+ j = logb(g), m += j;
+ g = ldexp(g, -j);
+ }
+ j = N*(g-1) + .5;
+ F = (1.0/N) * j + 1; /* F*128 is an integer in [128, 512] */
+ f = g - F;
+
+ /* Approximate expansion for log(1+f/F) ~= u + q */
+ g = 1/(2*F+f);
+ u = 2*f*g;
+ v = u*u;
+ q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+
+ /* case 1: u1 = u rounded to 2^-43 absolute. Since u < 2^-8,
+ * u1 has at most 35 bits, and F*u1 is exact, as F has < 8 bits.
+ * It also adds exactly to |m*log2_hi + log_F_head[j] | < 750
+ */
+ if (m | j)
+ u1 = u + 513, u1 -= 513;
+
+ /* case 2: |1-x| < 1/256. The m- and j- dependent terms are zero;
+ * u1 = u to 24 bits.
+ */
+ else
+ u1 = u, TRUNC(u1);
+ u2 = (2.0*(f - F*u1) - u1*f) * g;
+ /* u1 + u2 = 2f/(2F+f) to extra precision. */
+
+ /* log(x) = log(2^m*F*(1+f/F)) = */
+ /* (m*log2_hi+logF_head[j]+u1) + (m*log2_lo+logF_tail[j]+q); */
+ /* (exact) + (tiny) */
+
+ u1 += m*logF_head[N] + logF_head[j]; /* exact */
+ u2 = (u2 + logF_tail[j]) + q; /* tiny */
+ u2 += logF_tail[N]*m;
+ return (u1 + u2);
+}
+#endif
+
+/*
+ * Extra precision variant, returning struct {double a, b;};
+ * log(x) = a+b to 63 bits, with a rounded to 26 bits.
+ */
+struct Double
+#ifdef _ANSI_SOURCE
+__log__D(double x)
+#else
+__log__D(x) double x;
+#endif
+{
+ int m, j;
+ double F, f, g, q, u, v, u2;
+ volatile double u1;
+ struct Double r;
+
+ /* Argument reduction: 1 <= g < 2; x/2^m = g; */
+ /* y = F*(1 + f/F) for |f| <= 2^-8 */
+
+ m = logb(x);
+ g = ldexp(x, -m);
+ if (m == -1022) {
+ j = logb(g), m += j;
+ g = ldexp(g, -j);
+ }
+ j = N*(g-1) + .5;
+ F = (1.0/N) * j + 1;
+ f = g - F;
+
+ g = 1/(2*F+f);
+ u = 2*f*g;
+ v = u*u;
+ q = u*v*(A1 + v*(A2 + v*(A3 + v*A4)));
+ if (m | j)
+ u1 = u + 513, u1 -= 513;
+ else
+ u1 = u, TRUNC(u1);
+ u2 = (2.0*(f - F*u1) - u1*f) * g;
+
+ u1 += m*logF_head[N] + logF_head[j];
+
+ u2 += logF_tail[j]; u2 += q;
+ u2 += logF_tail[N]*m;
+ r.a = u1 + u2; /* Only difference is here */
+ TRUNC(r.a);
+ r.b = (u1 - r.a) + u2;
+ return (r);
+}
diff --git a/libm/upstream-freebsd/lib/msun/bsdsrc/b_tgamma.c b/libm/upstream-freebsd/lib/msun/bsdsrc/b_tgamma.c
new file mode 100644
index 0000000..1d0af44
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/bsdsrc/b_tgamma.c
@@ -0,0 +1,317 @@
+/*-
+ * Copyright (c) 1992, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/* @(#)gamma.c 8.1 (Berkeley) 6/4/93 */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * This code by P. McIlroy, Oct 1992;
+ *
+ * The financial support of UUNET Communications Services is greatfully
+ * acknowledged.
+ */
+
+#include <math.h>
+#include "mathimpl.h"
+
+/* METHOD:
+ * x < 0: Use reflection formula, G(x) = pi/(sin(pi*x)*x*G(x))
+ * At negative integers, return NaN and raise invalid.
+ *
+ * x < 6.5:
+ * Use argument reduction G(x+1) = xG(x) to reach the
+ * range [1.066124,2.066124]. Use a rational
+ * approximation centered at the minimum (x0+1) to
+ * ensure monotonicity.
+ *
+ * x >= 6.5: Use the asymptotic approximation (Stirling's formula)
+ * adjusted for equal-ripples:
+ *
+ * log(G(x)) ~= (x-.5)*(log(x)-1) + .5(log(2*pi)-1) + 1/x*P(1/(x*x))
+ *
+ * Keep extra precision in multiplying (x-.5)(log(x)-1), to
+ * avoid premature round-off.
+ *
+ * Special values:
+ * -Inf: return NaN and raise invalid;
+ * negative integer: return NaN and raise invalid;
+ * other x ~< 177.79: return +-0 and raise underflow;
+ * +-0: return +-Inf and raise divide-by-zero;
+ * finite x ~> 171.63: return +Inf and raise overflow;
+ * +Inf: return +Inf;
+ * NaN: return NaN.
+ *
+ * Accuracy: tgamma(x) is accurate to within
+ * x > 0: error provably < 0.9ulp.
+ * Maximum observed in 1,000,000 trials was .87ulp.
+ * x < 0:
+ * Maximum observed error < 4ulp in 1,000,000 trials.
+ */
+
+static double neg_gam(double);
+static double small_gam(double);
+static double smaller_gam(double);
+static struct Double large_gam(double);
+static struct Double ratfun_gam(double, double);
+
+/*
+ * Rational approximation, A0 + x*x*P(x)/Q(x), on the interval
+ * [1.066.., 2.066..] accurate to 4.25e-19.
+ */
+#define LEFT -.3955078125 /* left boundary for rat. approx */
+#define x0 .461632144968362356785 /* xmin - 1 */
+
+#define a0_hi 0.88560319441088874992
+#define a0_lo -.00000000000000004996427036469019695
+#define P0 6.21389571821820863029017800727e-01
+#define P1 2.65757198651533466104979197553e-01
+#define P2 5.53859446429917461063308081748e-03
+#define P3 1.38456698304096573887145282811e-03
+#define P4 2.40659950032711365819348969808e-03
+#define Q0 1.45019531250000000000000000000e+00
+#define Q1 1.06258521948016171343454061571e+00
+#define Q2 -2.07474561943859936441469926649e-01
+#define Q3 -1.46734131782005422506287573015e-01
+#define Q4 3.07878176156175520361557573779e-02
+#define Q5 5.12449347980666221336054633184e-03
+#define Q6 -1.76012741431666995019222898833e-03
+#define Q7 9.35021023573788935372153030556e-05
+#define Q8 6.13275507472443958924745652239e-06
+/*
+ * Constants for large x approximation (x in [6, Inf])
+ * (Accurate to 2.8*10^-19 absolute)
+ */
+#define lns2pi_hi 0.418945312500000
+#define lns2pi_lo -.000006779295327258219670263595
+#define Pa0 8.33333333333333148296162562474e-02
+#define Pa1 -2.77777777774548123579378966497e-03
+#define Pa2 7.93650778754435631476282786423e-04
+#define Pa3 -5.95235082566672847950717262222e-04
+#define Pa4 8.41428560346653702135821806252e-04
+#define Pa5 -1.89773526463879200348872089421e-03
+#define Pa6 5.69394463439411649408050664078e-03
+#define Pa7 -1.44705562421428915453880392761e-02
+
+static const double zero = 0., one = 1.0, tiny = 1e-300;
+
+double
+tgamma(x)
+ double x;
+{
+ struct Double u;
+
+ if (x >= 6) {
+ if(x > 171.63)
+ return (x / zero);
+ u = large_gam(x);
+ return(__exp__D(u.a, u.b));
+ } else if (x >= 1.0 + LEFT + x0)
+ return (small_gam(x));
+ else if (x > 1.e-17)
+ return (smaller_gam(x));
+ else if (x > -1.e-17) {
+ if (x != 0.0)
+ u.a = one - tiny; /* raise inexact */
+ return (one/x);
+ } else if (!finite(x))
+ return (x - x); /* x is NaN or -Inf */
+ else
+ return (neg_gam(x));
+}
+/*
+ * Accurate to max(ulp(1/128) absolute, 2^-66 relative) error.
+ */
+static struct Double
+large_gam(x)
+ double x;
+{
+ double z, p;
+ struct Double t, u, v;
+
+ z = one/(x*x);
+ p = Pa0+z*(Pa1+z*(Pa2+z*(Pa3+z*(Pa4+z*(Pa5+z*(Pa6+z*Pa7))))));
+ p = p/x;
+
+ u = __log__D(x);
+ u.a -= one;
+ v.a = (x -= .5);
+ TRUNC(v.a);
+ v.b = x - v.a;
+ t.a = v.a*u.a; /* t = (x-.5)*(log(x)-1) */
+ t.b = v.b*u.a + x*u.b;
+ /* return t.a + t.b + lns2pi_hi + lns2pi_lo + p */
+ t.b += lns2pi_lo; t.b += p;
+ u.a = lns2pi_hi + t.b; u.a += t.a;
+ u.b = t.a - u.a;
+ u.b += lns2pi_hi; u.b += t.b;
+ return (u);
+}
+/*
+ * Good to < 1 ulp. (provably .90 ulp; .87 ulp on 1,000,000 runs.)
+ * It also has correct monotonicity.
+ */
+static double
+small_gam(x)
+ double x;
+{
+ double y, ym1, t;
+ struct Double yy, r;
+ y = x - one;
+ ym1 = y - one;
+ if (y <= 1.0 + (LEFT + x0)) {
+ yy = ratfun_gam(y - x0, 0);
+ return (yy.a + yy.b);
+ }
+ r.a = y;
+ TRUNC(r.a);
+ yy.a = r.a - one;
+ y = ym1;
+ yy.b = r.b = y - yy.a;
+ /* Argument reduction: G(x+1) = x*G(x) */
+ for (ym1 = y-one; ym1 > LEFT + x0; y = ym1--, yy.a--) {
+ t = r.a*yy.a;
+ r.b = r.a*yy.b + y*r.b;
+ r.a = t;
+ TRUNC(r.a);
+ r.b += (t - r.a);
+ }
+ /* Return r*tgamma(y). */
+ yy = ratfun_gam(y - x0, 0);
+ y = r.b*(yy.a + yy.b) + r.a*yy.b;
+ y += yy.a*r.a;
+ return (y);
+}
+/*
+ * Good on (0, 1+x0+LEFT]. Accurate to 1ulp.
+ */
+static double
+smaller_gam(x)
+ double x;
+{
+ double t, d;
+ struct Double r, xx;
+ if (x < x0 + LEFT) {
+ t = x, TRUNC(t);
+ d = (t+x)*(x-t);
+ t *= t;
+ xx.a = (t + x), TRUNC(xx.a);
+ xx.b = x - xx.a; xx.b += t; xx.b += d;
+ t = (one-x0); t += x;
+ d = (one-x0); d -= t; d += x;
+ x = xx.a + xx.b;
+ } else {
+ xx.a = x, TRUNC(xx.a);
+ xx.b = x - xx.a;
+ t = x - x0;
+ d = (-x0 -t); d += x;
+ }
+ r = ratfun_gam(t, d);
+ d = r.a/x, TRUNC(d);
+ r.a -= d*xx.a; r.a -= d*xx.b; r.a += r.b;
+ return (d + r.a/x);
+}
+/*
+ * returns (z+c)^2 * P(z)/Q(z) + a0
+ */
+static struct Double
+ratfun_gam(z, c)
+ double z, c;
+{
+ double p, q;
+ struct Double r, t;
+
+ q = Q0 +z*(Q1+z*(Q2+z*(Q3+z*(Q4+z*(Q5+z*(Q6+z*(Q7+z*Q8)))))));
+ p = P0 + z*(P1 + z*(P2 + z*(P3 + z*P4)));
+
+ /* return r.a + r.b = a0 + (z+c)^2*p/q, with r.a truncated to 26 bits. */
+ p = p/q;
+ t.a = z, TRUNC(t.a); /* t ~= z + c */
+ t.b = (z - t.a) + c;
+ t.b *= (t.a + z);
+ q = (t.a *= t.a); /* t = (z+c)^2 */
+ TRUNC(t.a);
+ t.b += (q - t.a);
+ r.a = p, TRUNC(r.a); /* r = P/Q */
+ r.b = p - r.a;
+ t.b = t.b*p + t.a*r.b + a0_lo;
+ t.a *= r.a; /* t = (z+c)^2*(P/Q) */
+ r.a = t.a + a0_hi, TRUNC(r.a);
+ r.b = ((a0_hi-r.a) + t.a) + t.b;
+ return (r); /* r = a0 + t */
+}
+
+static double
+neg_gam(x)
+ double x;
+{
+ int sgn = 1;
+ struct Double lg, lsine;
+ double y, z;
+
+ y = ceil(x);
+ if (y == x) /* Negative integer. */
+ return ((x - x) / zero);
+ z = y - x;
+ if (z > 0.5)
+ z = one - z;
+ y = 0.5 * y;
+ if (y == ceil(y))
+ sgn = -1;
+ if (z < .25)
+ z = sin(M_PI*z);
+ else
+ z = cos(M_PI*(0.5-z));
+ /* Special case: G(1-x) = Inf; G(x) may be nonzero. */
+ if (x < -170) {
+ if (x < -190)
+ return ((double)sgn*tiny*tiny);
+ y = one - x; /* exact: 128 < |x| < 255 */
+ lg = large_gam(y);
+ lsine = __log__D(M_PI/z); /* = TRUNC(log(u)) + small */
+ lg.a -= lsine.a; /* exact (opposite signs) */
+ lg.b -= lsine.b;
+ y = -(lg.a + lg.b);
+ z = (y + lg.a) + lg.b;
+ y = __exp__D(y, z);
+ if (sgn < 0) y = -y;
+ return (y);
+ }
+ y = one-x;
+ if (one-y == x)
+ y = tgamma(y);
+ else /* 1-x is inexact */
+ y = -x*tgamma(-x);
+ if (sgn < 0) y = -y;
+ return (M_PI / (y*z));
+}
diff --git a/libm/upstream-freebsd/lib/msun/bsdsrc/mathimpl.h b/libm/upstream-freebsd/lib/msun/bsdsrc/mathimpl.h
new file mode 100644
index 0000000..04a4b6e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/bsdsrc/mathimpl.h
@@ -0,0 +1,74 @@
+/*
+ * Copyright (c) 1988, 1993
+ * The Regents of the University of California. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. All advertising materials mentioning features or use of this software
+ * must display the following acknowledgement:
+ * This product includes software developed by the University of
+ * California, Berkeley and its contributors.
+ * 4. Neither the name of the University nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * @(#)mathimpl.h 8.1 (Berkeley) 6/4/93
+ * $FreeBSD$
+ */
+
+#ifndef _MATHIMPL_H_
+#define _MATHIMPL_H_
+
+#include <sys/cdefs.h>
+#include <math.h>
+
+#include "../src/math_private.h"
+
+/*
+ * TRUNC() is a macro that sets the trailing 27 bits in the mantissa of an
+ * IEEE double variable to zero. It must be expression-like for syntactic
+ * reasons, and we implement this expression using an inline function
+ * instead of a pure macro to avoid depending on the gcc feature of
+ * statement-expressions.
+ */
+#define TRUNC(d) (_b_trunc(&(d)))
+
+static __inline void
+_b_trunc(volatile double *_dp)
+{
+ uint32_t _lw;
+
+ GET_LOW_WORD(_lw, *_dp);
+ SET_LOW_WORD(*_dp, _lw & 0xf8000000);
+}
+
+struct Double {
+ double a;
+ double b;
+};
+
+/*
+ * Functions internal to the math package, yet not static.
+ */
+double __exp__D(double, double);
+struct Double __log__D(double);
+
+#endif /* !_MATHIMPL_H_ */
diff --git a/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c b/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c
new file mode 100644
index 0000000..53d3af1
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/e_lgammal_r.c
@@ -0,0 +1,330 @@
+/* @(#)e_lgamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_lgamma_r.c for complete comments.
+ *
+ * Converted to long double by Steven G. Kargl.
+ */
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+static const volatile double vzero = 0;
+
+static const double
+zero= 0,
+half= 0.5,
+one = 1;
+
+static const long double
+pi = 3.14159265358979323846264338327950288e+00L;
+/*
+ * Domain y in [0x1p-119, 0.28], range ~[-1.4065e-36, 1.4065e-36]:
+ * |(lgamma(2 - y) + y / 2) / y - a(y)| < 2**-119.1
+ */
+static const long double
+a0 = 7.72156649015328606065120900824024296e-02L,
+a1 = 3.22467033424113218236207583323018498e-01L,
+a2 = 6.73523010531980951332460538330282217e-02L,
+a3 = 2.05808084277845478790009252803463129e-02L,
+a4 = 7.38555102867398526627292839296001626e-03L,
+a5 = 2.89051033074152328576829509522483468e-03L,
+a6 = 1.19275391170326097618357349881842913e-03L,
+a7 = 5.09669524743042462515256340206203019e-04L,
+a8 = 2.23154758453578096143609255559576017e-04L,
+a9 = 9.94575127818397632126978731542755129e-05L,
+a10 = 4.49262367375420471287545895027098145e-05L,
+a11 = 2.05072127845117995426519671481628849e-05L,
+a12 = 9.43948816959096748454087141447939513e-06L,
+a13 = 4.37486780697359330303852050718287419e-06L,
+a14 = 2.03920783892362558276037363847651809e-06L,
+a15 = 9.55191070057967287877923073200324649e-07L,
+a16 = 4.48993286185740853170657139487620560e-07L,
+a17 = 2.13107543597620911675316728179563522e-07L,
+a18 = 9.70745379855304499867546549551023473e-08L,
+a19 = 5.61889970390290257926487734695402075e-08L,
+a20 = 6.42739653024130071866684358960960951e-09L,
+a21 = 3.34491062143649291746195612991870119e-08L,
+a22 = -1.57068547394315223934653011440641472e-08L,
+a23 = 1.30812825422415841213733487745200632e-08L;
+/*
+ * Domain x in [tc-0.24, tc+0.28], range ~[-6.3201e-37, 6.3201e-37]:
+ * |(lgamma(x) - tf) - t(x - tc)| < 2**-120.3.
+ */
+static const long double
+tc = 1.46163214496836234126265954232572133e+00L,
+tf = -1.21486290535849608095514557177691584e-01L,
+tt = 1.57061739945077675484237837992951704e-36L,
+t0 = -1.99238329499314692728655623767019240e-36L,
+t1 = -6.08453430711711404116887457663281416e-35L,
+t2 = 4.83836122723810585213722380854828904e-01L,
+t3 = -1.47587722994530702030955093950668275e-01L,
+t4 = 6.46249402389127526561003464202671923e-02L,
+t5 = -3.27885410884813055008502586863748063e-02L,
+t6 = 1.79706751152103942928638276067164935e-02L,
+t7 = -1.03142230366363872751602029672767978e-02L,
+t8 = 6.10053602051788840313573150785080958e-03L,
+t9 = -3.68456960831637325470641021892968954e-03L,
+t10 = 2.25976482322181046611440855340968560e-03L,
+t11 = -1.40225144590445082933490395950664961e-03L,
+t12 = 8.78232634717681264035014878172485575e-04L,
+t13 = -5.54194952796682301220684760591403899e-04L,
+t14 = 3.51912956837848209220421213975000298e-04L,
+t15 = -2.24653443695947456542669289367055542e-04L,
+t16 = 1.44070395420840737695611929680511823e-04L,
+t17 = -9.27609865550394140067059487518862512e-05L,
+t18 = 5.99347334438437081412945428365433073e-05L,
+t19 = -3.88458388854572825603964274134801009e-05L,
+t20 = 2.52476631610328129217896436186551043e-05L,
+t21 = -1.64508584981658692556994212457518536e-05L,
+t22 = 1.07434583475987007495523340296173839e-05L,
+t23 = -7.03070407519397260929482550448878399e-06L,
+t24 = 4.60968590693753579648385629003100469e-06L,
+t25 = -3.02765473778832036018438676945512661e-06L,
+t26 = 1.99238771545503819972741288511303401e-06L,
+t27 = -1.31281299822614084861868817951788579e-06L,
+t28 = 8.60844432267399655055574642052370223e-07L,
+t29 = -5.64535486432397413273248363550536374e-07L,
+t30 = 3.99357783676275660934903139592727737e-07L,
+t31 = -2.95849029193433121795495215869311610e-07L,
+t32 = 1.37790144435073124976696250804940384e-07L;
+/*
+ * Domain y in [-0.1, 0.232], range ~[-1.4046e-37, 1.4181e-37]:
+ * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-122.8
+ */
+static const long double
+u0 = -7.72156649015328606065120900824024311e-02L,
+u1 = 4.24082772271938167430983113242482656e-01L,
+u2 = 2.96194003481457101058321977413332171e+00L,
+u3 = 6.49503267711258043997790983071543710e+00L,
+u4 = 7.40090051288150177152835698948644483e+00L,
+u5 = 4.94698036296756044610805900340723464e+00L,
+u6 = 2.00194224610796294762469550684947768e+00L,
+u7 = 4.82073087750608895996915051568834949e-01L,
+u8 = 6.46694052280506568192333848437585427e-02L,
+u9 = 4.17685526755100259316625348933108810e-03L,
+u10 = 9.06361003550314327144119307810053410e-05L,
+v1 = 5.15937098592887275994320496999951947e+00L,
+v2 = 1.14068418766251486777604403304717558e+01L,
+v3 = 1.41164839437524744055723871839748489e+01L,
+v4 = 1.07170702656179582805791063277960532e+01L,
+v5 = 5.14448694179047879915042998453632434e+00L,
+v6 = 1.55210088094585540637493826431170289e+00L,
+v7 = 2.82975732849424562719893657416365673e-01L,
+v8 = 2.86424622754753198010525786005443539e-02L,
+v9 = 1.35364253570403771005922441442688978e-03L,
+v10 = 1.91514173702398375346658943749580666e-05L,
+v11 = -3.25364686890242327944584691466034268e-08L;
+/*
+ * Domain x in (2, 3], range ~[-1.3341e-36, 1.3536e-36]:
+ * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-120.1
+ * with y = x - 2.
+ */
+static const long double
+s0 = -7.72156649015328606065120900824024297e-02L,
+s1 = 1.23221687850916448903914170805852253e-01L,
+s2 = 5.43673188699937239808255378293820020e-01L,
+s3 = 6.31998137119005233383666791176301800e-01L,
+s4 = 3.75885340179479850993811501596213763e-01L,
+s5 = 1.31572908743275052623410195011261575e-01L,
+s6 = 2.82528453299138685507186287149699749e-02L,
+s7 = 3.70262021550340817867688714880797019e-03L,
+s8 = 2.83374000312371199625774129290973648e-04L,
+s9 = 1.15091830239148290758883505582343691e-05L,
+s10 = 2.04203474281493971326506384646692446e-07L,
+s11 = 9.79544198078992058548607407635645763e-10L,
+r1 = 2.58037466655605285937112832039537492e+00L,
+r2 = 2.86289413392776399262513849911531180e+00L,
+r3 = 1.78691044735267497452847829579514367e+00L,
+r4 = 6.89400381446725342846854215600008055e-01L,
+r5 = 1.70135865462567955867134197595365343e-01L,
+r6 = 2.68794816183964420375498986152766763e-02L,
+r7 = 2.64617234244861832870088893332006679e-03L,
+r8 = 1.52881761239180800640068128681725702e-04L,
+r9 = 4.63264813762296029824851351257638558e-06L,
+r10 = 5.89461519146957343083848967333671142e-08L,
+r11 = 1.79027678176582527798327441636552968e-10L;
+/*
+ * Domain z in [8, 0x1p70], range ~[-9.8214e-35, 9.8214e-35]:
+ * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-113.0
+ */
+static const long double
+w0 = 4.18938533204672741780329736405617738e-01L,
+w1 = 8.33333333333333333333333333332852026e-02L,
+w2 = -2.77777777777777777777777727810123528e-03L,
+w3 = 7.93650793650793650791708939493907380e-04L,
+w4 = -5.95238095238095234390450004444370959e-04L,
+w5 = 8.41750841750837633887817658848845695e-04L,
+w6 = -1.91752691752396849943172337347259743e-03L,
+w7 = 6.41025640880333069429106541459015557e-03L,
+w8 = -2.95506530801732133437990433080327074e-02L,
+w9 = 1.79644237328444101596766586979576927e-01L,
+w10 = -1.39240539108367641920172649259736394e+00L,
+w11 = 1.33987701479007233325288857758641761e+01L,
+w12 = -1.56363596431084279780966590116006255e+02L,
+w13 = 2.14830978044410267201172332952040777e+03L,
+w14 = -3.28636067474227378352761516589092334e+04L,
+w15 = 5.06201257747865138432663574251462485e+05L,
+w16 = -6.79720123352023636706247599728048344e+06L,
+w17 = 6.57556601705472106989497289465949255e+07L,
+w18 = -3.26229058141181783534257632389415580e+08L;
+
+static long double
+sin_pil(long double x)
+{
+ volatile long double vz;
+ long double y,z;
+ uint64_t lx, n;
+ uint16_t hx;
+
+ y = -x;
+
+ vz = y+0x1.p112;
+ z = vz-0x1.p112;
+ if (z == y)
+ return zero;
+
+ vz = y+0x1.p110;
+ EXTRACT_LDBL128_WORDS(hx,lx,n,vz);
+ z = vz-0x1.p110;
+ if (z > y) {
+ z -= 0.25;
+ n--;
+ }
+ n &= 7;
+ y = y - z + n * 0.25;
+
+ switch (n) {
+ case 0: y = __kernel_sinl(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cosl(pi*(0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sinl(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cosl(pi*(y-1.5),zero); break;
+ default: y = __kernel_sinl(pi*(y-2.0),zero,0); break;
+ }
+ return -y;
+}
+
+long double
+lgammal_r(long double x, int *signgamp)
+{
+ long double nadj,p,p1,p2,p3,q,r,t,w,y,z;
+ uint64_t llx,lx;
+ int i;
+ uint16_t hx,ix;
+
+ EXTRACT_LDBL128_WORDS(hx,lx,llx,x);
+
+ /* purge +-Inf and NaNs */
+ *signgamp = 1;
+ ix = hx&0x7fff;
+ if(ix==0x7fff) return x*x;
+
+ /* purge +-0 and tiny arguments */
+ *signgamp = 1-2*(hx>>15);
+ if(ix<0x3fff-116) { /* |x|<2**-(p+3), return -log(|x|) */
+ if((ix|lx|llx)==0)
+ return one/vzero;
+ return -logl(fabsl(x));
+ }
+
+ /* purge negative integers and start evaluation for other x < 0 */
+ if(hx&0x8000) {
+ *signgamp = 1;
+ if(ix>=0x3fff+112) /* |x|>=2**(p-1), must be -integer */
+ return one/vzero;
+ t = sin_pil(x);
+ if(t==zero) return one/vzero;
+ nadj = logl(pi/fabsl(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge 1 and 2 */
+ if((ix==0x3fff || ix==0x4000) && (lx|llx)==0) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x4000) {
+ if(x<=8.9999961853027344e-01) {
+ r = -logl(x);
+ if(x>=7.3159980773925781e-01) {y = 1-x; i= 0;}
+ else if(x>=2.3163998126983643e-01) {y= x-(tc-1); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = 0;
+ if(x>=1.7316312789916992e+00) {y=2-x;i=0;}
+ else if(x>=1.2316322326660156e+00) {y=x-tc;i=1;}
+ else {y=x-1;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*(a10+z*(a12+z*(a14+z*(a16+
+ z*(a18+z*(a20+z*a22))))))))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*(a11+z*(a13+z*(a15+
+ z*(a17+z*(a19+z*(a21+z*a23)))))))))));
+ p = y*p1+p2;
+ r += p-y/2; break;
+ case 1:
+ p = t0+y*t1+tt+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*(t7+y*(t8+
+ y*(t9+y*(t10+y*(t11+y*(t12+y*(t13+y*(t14+y*(t15+y*(t16+
+ y*(t17+y*(t18+y*(t19+y*(t20+y*(t21+y*(t22+y*(t23+
+ y*(t24+y*(t25+y*(t26+y*(t27+y*(t28+y*(t29+y*(t30+
+ y*(t31+y*t32))))))))))))))))))))))))))))));
+ r += tf + p; break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*(u5+y*(u6+y*(u7+
+ y*(u8+y*(u9+y*u10))))))))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*(v5+y*(v6+y*(v7+
+ y*(v8+y*(v9+y*(v10+y*v11))))))))));
+ r += p1/p2-y/2;
+ }
+ }
+ /* x < 8.0 */
+ else if(ix<0x4002) {
+ i = x;
+ y = x-i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*(s6+y*(s7+y*(s8+
+ y*(s9+y*(s10+y*s11)))))))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*(r6+y*(r7+y*(r8+
+ y*(r9+y*(r10+y*r11))))))))));
+ r = y/2+p/q;
+ z = 1; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6); /* FALLTHRU */
+ case 6: z *= (y+5); /* FALLTHRU */
+ case 5: z *= (y+4); /* FALLTHRU */
+ case 4: z *= (y+3); /* FALLTHRU */
+ case 3: z *= (y+2); /* FALLTHRU */
+ r += logl(z); break;
+ }
+ /* 8.0 <= x < 2**(p+3) */
+ } else if (ix<0x3fff+116) {
+ t = logl(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*(w6+y*(w7+y*(w8+
+ y*(w9+y*(w10+y*(w11+y*(w12+y*(w13+y*(w14+y*(w15+y*(w16+
+ y*(w17+y*w18)))))))))))))))));
+ r = (x-half)*(t-one)+w;
+ /* 2**(p+3) <= x <= inf */
+ } else
+ r = x*(logl(x)-1);
+ if(hx&0x8000) r = nadj - r;
+ return r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/e_rem_pio2l.h b/libm/upstream-freebsd/lib/msun/ld128/e_rem_pio2l.h
new file mode 100644
index 0000000..5d78c4d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/e_rem_pio2l.h
@@ -0,0 +1,140 @@
+/* From: @(#)e_rem_pio2.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* ld128 version of __ieee754_rem_pio2l(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+#include "fpmath.h"
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+/*
+ * XXX need to verify that nonzero integer multiples of pi/2 within the
+ * range get no closer to a long double than 2**-140, or that
+ * ilogb(x) + ilogb(min_delta) < 45 - -140.
+ */
+/*
+ * invpio2: 113 bits of 2/pi
+ * pio2_1: first 68 bits of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 68 bits of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 68 bits of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+static const double
+zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+two24 = 1.67772160000000000000e+07; /* 0x41700000, 0x00000000 */
+
+static const long double
+invpio2 = 6.3661977236758134307553505349005747e-01L, /* 0x145f306dc9c882a53f84eafa3ea6a.0p-113 */
+pio2_1 = 1.5707963267948966192292994253909555e+00L, /* 0x1921fb54442d18469800000000000.0p-112 */
+pio2_1t = 2.0222662487959507323996846200947577e-21L, /* 0x13198a2e03707344a4093822299f3.0p-181 */
+pio2_2 = 2.0222662487959507323994779168837751e-21L, /* 0x13198a2e03707344a400000000000.0p-181 */
+pio2_2t = 2.0670321098263988236496903051604844e-43L, /* 0x127044533e63a0105df531d89cd91.0p-254 */
+pio2_3 = 2.0670321098263988236499468110329591e-43L, /* 0x127044533e63a0105e00000000000.0p-254 */
+pio2_3t = -2.5650587247459238361625433492959285e-65L; /* -0x159c4ec64ddaeb5f78671cbfb2210.0p-327 */
+
+static inline __always_inline int
+__ieee754_rem_pio2l(long double x, long double *y)
+{
+ union IEEEl2bits u,u1;
+ long double z,w,t,r,fn;
+ double tx[5],ty[3];
+ int64_t n;
+ int e0,ex,i,j,nx;
+ int16_t expsign;
+
+ u.e = x;
+ expsign = u.xbits.expsign;
+ ex = expsign & 0x7fff;
+ if (ex < BIAS + 45 || ex == BIAS + 45 &&
+ u.bits.manh < 0x921fb54442d1LL) {
+ /* |x| ~< 2^45*(pi/2), medium size */
+ /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ fn = x*invpio2+0x1.8p112;
+ fn = fn-0x1.8p112;
+#ifdef HAVE_EFFICIENT_I64RINT
+ n = i64rint(fn);
+#else
+ n = fn;
+#endif
+ r = x-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 180 bit */
+ {
+ union IEEEl2bits u2;
+ int ex1;
+ j = ex;
+ y[0] = r-w;
+ u2.e = y[0];
+ ex1 = u2.xbits.expsign & 0x7fff;
+ i = j-ex1;
+ if(i>51) { /* 2nd iteration needed, good to 248 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ u2.e = y[0];
+ ex1 = u2.xbits.expsign & 0x7fff;
+ i = j-ex1;
+ if(i>119) { /* 3rd iteration need, 316 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ex==0x7fff) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-23) */
+ u1.e = x;
+ e0 = ex - BIAS - 23; /* e0 = ilogb(|x|)-23; */
+ u1.xbits.expsign = ex - e0;
+ z = u1.e;
+ for(i=0;i<4;i++) {
+ tx[i] = (double)((int32_t)(z));
+ z = (z-tx[i])*two24;
+ }
+ tx[4] = z;
+ nx = 5;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2(tx,ty,e0,nx,3);
+ t = (long double)ty[2] + ty[1];
+ r = t + ty[0];
+ w = ty[0] - (r - t);
+ if(expsign<0) {y[0] = -r; y[1] = -w; return -n;}
+ y[0] = r; y[1] = w; return n;
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/invtrig.c b/libm/upstream-freebsd/lib/msun/ld128/invtrig.c
new file mode 100644
index 0000000..4ceca8a
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/invtrig.c
@@ -0,0 +1,100 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "invtrig.h"
+
+/*
+ * asinl() and acosl()
+ */
+const long double
+pS0 = 1.66666666666666666666666666666700314e-01L,
+pS1 = -7.32816946414566252574527475428622708e-01L,
+pS2 = 1.34215708714992334609030036562143589e+00L,
+pS3 = -1.32483151677116409805070261790752040e+00L,
+pS4 = 7.61206183613632558824485341162121989e-01L,
+pS5 = -2.56165783329023486777386833928147375e-01L,
+pS6 = 4.80718586374448793411019434585413855e-02L,
+pS7 = -4.42523267167024279410230886239774718e-03L,
+pS8 = 1.44551535183911458253205638280410064e-04L,
+pS9 = -2.10558957916600254061591040482706179e-07L,
+qS1 = -4.84690167848739751544716485245697428e+00L,
+qS2 = 9.96619113536172610135016921140206980e+00L,
+qS3 = -1.13177895428973036660836798461641458e+01L,
+qS4 = 7.74004374389488266169304117714658761e+00L,
+qS5 = -3.25871986053534084709023539900339905e+00L,
+qS6 = 8.27830318881232209752469022352928864e-01L,
+qS7 = -1.18768052702942805423330715206348004e-01L,
+qS8 = 8.32600764660522313269101537926539470e-03L,
+qS9 = -1.99407384882605586705979504567947007e-04L;
+
+/*
+ * atanl()
+ */
+const long double atanhi[] = {
+ 4.63647609000806116214256231461214397e-01L,
+ 7.85398163397448309615660845819875699e-01L,
+ 9.82793723247329067985710611014666038e-01L,
+ 1.57079632679489661923132169163975140e+00L,
+};
+
+const long double atanlo[] = {
+ 4.89509642257333492668618435220297706e-36L,
+ 2.16795253253094525619926100651083806e-35L,
+ -2.31288434538183565909319952098066272e-35L,
+ 4.33590506506189051239852201302167613e-35L,
+};
+
+const long double aT[] = {
+ 3.33333333333333333333333333333333125e-01L,
+ -1.99999999999999999999999999999180430e-01L,
+ 1.42857142857142857142857142125269827e-01L,
+ -1.11111111111111111111110834490810169e-01L,
+ 9.09090909090909090908522355708623681e-02L,
+ -7.69230769230769230696553844935357021e-02L,
+ 6.66666666666666660390096773046256096e-02L,
+ -5.88235294117646671706582985209643694e-02L,
+ 5.26315789473666478515847092020327506e-02L,
+ -4.76190476189855517021024424991436144e-02L,
+ 4.34782608678695085948531993458097026e-02L,
+ -3.99999999632663469330634215991142368e-02L,
+ 3.70370363987423702891250829918659723e-02L,
+ -3.44827496515048090726669907612335954e-02L,
+ 3.22579620681420149871973710852268528e-02L,
+ -3.03020767654269261041647570626778067e-02L,
+ 2.85641979882534783223403715930946138e-02L,
+ -2.69824879726738568189929461383741323e-02L,
+ 2.54194698498808542954187110873675769e-02L,
+ -2.35083879708189059926183138130183215e-02L,
+ 2.04832358998165364349957325067131428e-02L,
+ -1.54489555488544397858507248612362957e-02L,
+ 8.64492360989278761493037861575248038e-03L,
+ -2.58521121597609872727919154569765469e-03L,
+};
+
+const long double pi_lo = 8.67181013012378102479704402604335225e-35L;
diff --git a/libm/upstream-freebsd/lib/msun/ld128/invtrig.h b/libm/upstream-freebsd/lib/msun/ld128/invtrig.h
new file mode 100644
index 0000000..12f598b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/invtrig.h
@@ -0,0 +1,113 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+
+#define BIAS (LDBL_MAX_EXP - 1)
+#define MANH_SIZE (LDBL_MANH_SIZE + 1)
+
+/* Approximation thresholds. */
+#define ASIN_LINEAR (BIAS - 56) /* 2**-56 */
+#define ACOS_CONST (BIAS - 113) /* 2**-113 */
+#define ATAN_CONST (BIAS + 113) /* 2**113 */
+#define ATAN_LINEAR (BIAS - 56) /* 2**-56 */
+
+/* 0.95 */
+#define THRESH ((0xe666666666666666ULL>>(64-(MANH_SIZE-1)))|LDBL_NBIT)
+
+/* Constants shared by the long double inverse trig functions. */
+#define pS0 _ItL_pS0
+#define pS1 _ItL_pS1
+#define pS2 _ItL_pS2
+#define pS3 _ItL_pS3
+#define pS4 _ItL_pS4
+#define pS5 _ItL_pS5
+#define pS6 _ItL_pS6
+#define pS7 _ItL_pS7
+#define pS8 _ItL_pS8
+#define pS9 _ItL_pS9
+#define qS1 _ItL_qS1
+#define qS2 _ItL_qS2
+#define qS3 _ItL_qS3
+#define qS4 _ItL_qS4
+#define qS5 _ItL_qS5
+#define qS6 _ItL_qS6
+#define qS7 _ItL_qS7
+#define qS8 _ItL_qS8
+#define qS9 _ItL_qS9
+#define atanhi _ItL_atanhi
+#define atanlo _ItL_atanlo
+#define aT _ItL_aT
+#define pi_lo _ItL_pi_lo
+
+#define pio2_hi atanhi[3]
+#define pio2_lo atanlo[3]
+#define pio4_hi atanhi[1]
+
+/* Constants shared by the long double inverse trig functions. */
+extern const long double pS0, pS1, pS2, pS3, pS4, pS5, pS6, pS7, pS8, pS9;
+extern const long double qS1, qS2, qS3, qS4, qS5, qS6, qS7, qS8, qS9;
+extern const long double atanhi[], atanlo[], aT[];
+extern const long double pi_lo;
+
+static inline long double
+P(long double x)
+{
+
+ return (x * (pS0 + x * (pS1 + x * (pS2 + x * (pS3 + x * \
+ (pS4 + x * (pS5 + x * (pS6 + x * (pS7 + x * (pS8 + x * \
+ pS9))))))))));
+}
+
+static inline long double
+Q(long double x)
+{
+
+ return (1.0 + x * (qS1 + x * (qS2 + x * (qS3 + x * (qS4 + x * \
+ (qS5 + x * (qS6 + x * (qS7 + x * (qS8 + x * qS9)))))))));
+}
+
+static inline long double
+T_even(long double x)
+{
+
+ return (aT[0] + x * (aT[2] + x * (aT[4] + x * (aT[6] + x * \
+ (aT[8] + x * (aT[10] + x * (aT[12] + x * (aT[14] + x * \
+ (aT[16] + x * (aT[18] + x * (aT[20] + x * aT[22])))))))))));
+}
+
+static inline long double
+T_odd(long double x)
+{
+
+ return (aT[1] + x * (aT[3] + x * (aT[5] + x * (aT[7] + x * \
+ (aT[9] + x * (aT[11] + x * (aT[13] + x * (aT[15] + x * \
+ (aT[17] + x * (aT[19] + x * (aT[21] + x * aT[23])))))))))));
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c b/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c
new file mode 100644
index 0000000..fe57773
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/k_cosl.c
@@ -0,0 +1,61 @@
+/* From: @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ld128 version of k_cos.c. See ../src/k_cos.c for most comments.
+ */
+
+#include "math_private.h"
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.80e-37, 1.79e-37]:
+ * |cos(x) - c(x))| < 2**-122.0
+ *
+ * 113-bit precision requires more care than 64-bit precision, since
+ * simple methods give a minimax polynomial with coefficient for x^2
+ * that is 1 ulp below 0.5, but we want it to be precisely 0.5. See
+ * ../ld80/k_cosl.c for more details.
+ */
+static const double
+one = 1.0;
+
+static const long double
+C1 = 0.04166666666666666666666666666666658424671L,
+C2 = -0.001388888888888888888888888888863490893732L,
+C3 = 0.00002480158730158730158730158600795304914210L,
+C4 = -0.2755731922398589065255474947078934284324e-6L,
+C5 = 0.2087675698786809897659225313136400793948e-8L,
+C6 = -0.1147074559772972315817149986812031204775e-10L,
+C7 = 0.4779477332386808976875457937252120293400e-13L;
+
+static const double
+C8 = -0.1561920696721507929516718307820958119868e-15,
+C9 = 0.4110317413744594971475941557607804508039e-18,
+C10 = -0.8896592467191938803288521958313920156409e-21,
+C11 = 0.1601061435794535138244346256065192782581e-23;
+
+long double
+__kernel_cosl(long double x, long double y)
+{
+ long double hz,z,r,w;
+
+ z = x*x;
+ r = z*(C1+z*(C2+z*(C3+z*(C4+z*(C5+z*(C6+z*(C7+
+ z*(C8+z*(C9+z*(C10+z*C11))))))))));
+ hz = 0.5*z;
+ w = one-hz;
+ return w + (((one-w)-hz) + (z*r-x*y));
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/k_expl.h b/libm/upstream-freebsd/lib/msun/ld128/k_expl.h
new file mode 100644
index 0000000..e843d43
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/k_expl.h
@@ -0,0 +1,328 @@
+/* from: FreeBSD: head/lib/msun/ld128/s_expl.c 251345 2013-06-03 20:09:22Z kargl */
+
+/*-
+ * Copyright (c) 2009-2013 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/ld128/k_expl.h 275819 2014-12-16 09:21:56Z ed $");
+
+/*
+ * ld128 version of k_expl.h. See ../ld80/s_expl.c for most comments.
+ *
+ * See ../src/e_exp.c and ../src/k_exp.h for precision-independent comments
+ * about the secondary kernels.
+ */
+
+#define INTERVALS 128
+#define LOG2_INTERVALS 7
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const double
+/*
+ * ln2/INTERVALS = L1+L2 (hi+lo decomposition for multiplication). L1 must
+ * have at least 22 (= log2(|LDBL_MIN_EXP-extras|) + log2(INTERVALS)) lowest
+ * bits zero so that multiplication of it by n is exact.
+ */
+INV_L = 1.8466496523378731e+2, /* 0x171547652b82fe.0p-45 */
+L2 = -1.0253670638894731e-29; /* -0x1.9ff0342542fc3p-97 */
+static const long double
+/* 0x1.62e42fefa39ef35793c768000000p-8 */
+L1 = 5.41521234812457272982212595914567508e-3L;
+
+/*
+ * XXX values in hex in comments have been lost (or were never present)
+ * from here.
+ */
+static const long double
+/*
+ * Domain [-0.002708, 0.002708], range ~[-2.4021e-38, 2.4234e-38]:
+ * |exp(x) - p(x)| < 2**-124.9
+ * (0.002708 is ln2/(2*INTERVALS) rounded up a little).
+ *
+ * XXX the coeffs aren't very carefully rounded, and I get 3.6 more bits.
+ */
+A2 = 0.5,
+A3 = 1.66666666666666666666666666651085500e-1L,
+A4 = 4.16666666666666666666666666425885320e-2L,
+A5 = 8.33333333333333333334522877160175842e-3L,
+A6 = 1.38888888888888888889971139751596836e-3L;
+
+static const double
+A7 = 1.9841269841269470e-4, /* 0x1.a01a01a019f91p-13 */
+A8 = 2.4801587301585286e-5, /* 0x1.71de3ec75a967p-19 */
+A9 = 2.7557324277411235e-6, /* 0x1.71de3ec75a967p-19 */
+A10 = 2.7557333722375069e-7; /* 0x1.27e505ab56259p-22 */
+
+static const struct {
+ /*
+ * hi must be rounded to at most 106 bits so that multiplication
+ * by r1 in expm1l() is exact, but it is rounded to 88 bits due to
+ * historical accidents.
+ *
+ * XXX it is wasteful to use long double for both hi and lo. ld128
+ * exp2l() uses only float for lo (in a very differently organized
+ * table; ld80 exp2l() is different again. It uses 2 doubles in a
+ * table organized like this one. 1 double and 1 float would
+ * suffice). There are different packing/locality/alignment/caching
+ * problems with these methods.
+ *
+ * XXX C's bad %a format makes the bits unreadable. They happen
+ * to all line up for the hi values 1 before the point and 88
+ * in 22 nybbles, but for the low values the nybbles are shifted
+ * randomly.
+ */
+ long double hi;
+ long double lo;
+} tbl[INTERVALS] = {
+ 0x1p0L, 0x0p0L,
+ 0x1.0163da9fb33356d84a66aep0L, 0x3.36dcdfa4003ec04c360be2404078p-92L,
+ 0x1.02c9a3e778060ee6f7cacap0L, 0x4.f7a29bde93d70a2cabc5cb89ba10p-92L,
+ 0x1.04315e86e7f84bd738f9a2p0L, 0xd.a47e6ed040bb4bfc05af6455e9b8p-96L,
+ 0x1.059b0d31585743ae7c548ep0L, 0xb.68ca417fe53e3495f7df4baf84a0p-92L,
+ 0x1.0706b29ddf6ddc6dc403a8p0L, 0x1.d87b27ed07cb8b092ac75e311753p-88L,
+ 0x1.0874518759bc808c35f25cp0L, 0x1.9427fa2b041b2d6829d8993a0d01p-88L,
+ 0x1.09e3ecac6f3834521e060cp0L, 0x5.84d6b74ba2e023da730e7fccb758p-92L,
+ 0x1.0b5586cf9890f6298b92b6p0L, 0x1.1842a98364291408b3ceb0a2a2bbp-88L,
+ 0x1.0cc922b7247f7407b705b8p0L, 0x9.3dc5e8aac564e6fe2ef1d431fd98p-92L,
+ 0x1.0e3ec32d3d1a2020742e4ep0L, 0x1.8af6a552ac4b358b1129e9f966a4p-88L,
+ 0x1.0fb66affed31af232091dcp0L, 0x1.8a1426514e0b627bda694a400a27p-88L,
+ 0x1.11301d0125b50a4ebbf1aep0L, 0xd.9318ceac5cc47ab166ee57427178p-92L,
+ 0x1.12abdc06c31cbfb92bad32p0L, 0x4.d68e2f7270bdf7cedf94eb1cb818p-92L,
+ 0x1.1429aaea92ddfb34101942p0L, 0x1.b2586d01844b389bea7aedd221d4p-88L,
+ 0x1.15a98c8a58e512480d573cp0L, 0x1.d5613bf92a2b618ee31b376c2689p-88L,
+ 0x1.172b83c7d517adcdf7c8c4p0L, 0x1.0eb14a792035509ff7d758693f24p-88L,
+ 0x1.18af9388c8de9bbbf70b9ap0L, 0x3.c2505c97c0102e5f1211941d2840p-92L,
+ 0x1.1a35beb6fcb753cb698f68p0L, 0x1.2d1c835a6c30724d5cfae31b84e5p-88L,
+ 0x1.1bbe084045cd39ab1e72b4p0L, 0x4.27e35f9acb57e473915519a1b448p-92L,
+ 0x1.1d4873168b9aa7805b8028p0L, 0x9.90f07a98b42206e46166cf051d70p-92L,
+ 0x1.1ed5022fcd91cb8819ff60p0L, 0x1.121d1e504d36c47474c9b7de6067p-88L,
+ 0x1.2063b88628cd63b8eeb028p0L, 0x1.50929d0fc487d21c2b84004264dep-88L,
+ 0x1.21f49917ddc962552fd292p0L, 0x9.4bdb4b61ea62477caa1dce823ba0p-92L,
+ 0x1.2387a6e75623866c1fadb0p0L, 0x1.c15cb593b0328566902df69e4de2p-88L,
+ 0x1.251ce4fb2a63f3582ab7dep0L, 0x9.e94811a9c8afdcf796934bc652d0p-92L,
+ 0x1.26b4565e27cdd257a67328p0L, 0x1.d3b249dce4e9186ddd5ff44e6b08p-92L,
+ 0x1.284dfe1f5638096cf15cf0p0L, 0x3.ca0967fdaa2e52d7c8106f2e262cp-92L,
+ 0x1.29e9df51fdee12c25d15f4p0L, 0x1.a24aa3bca890ac08d203fed80a07p-88L,
+ 0x1.2b87fd0dad98ffddea4652p0L, 0x1.8fcab88442fdc3cb6de4519165edp-88L,
+ 0x1.2d285a6e4030b40091d536p0L, 0xd.075384589c1cd1b3e4018a6b1348p-92L,
+ 0x1.2ecafa93e2f5611ca0f45cp0L, 0x1.523833af611bdcda253c554cf278p-88L,
+ 0x1.306fe0a31b7152de8d5a46p0L, 0x3.05c85edecbc27343629f502f1af2p-92L,
+ 0x1.32170fc4cd8313539cf1c2p0L, 0x1.008f86dde3220ae17a005b6412bep-88L,
+ 0x1.33c08b26416ff4c9c8610cp0L, 0x1.96696bf95d1593039539d94d662bp-88L,
+ 0x1.356c55f929ff0c94623476p0L, 0x3.73af38d6d8d6f9506c9bbc93cbc0p-92L,
+ 0x1.371a7373aa9caa7145502ep0L, 0x1.4547987e3e12516bf9c699be432fp-88L,
+ 0x1.38cae6d05d86585a9cb0d8p0L, 0x1.bed0c853bd30a02790931eb2e8f0p-88L,
+ 0x1.3a7db34e59ff6ea1bc9298p0L, 0x1.e0a1d336163fe2f852ceeb134067p-88L,
+ 0x1.3c32dc313a8e484001f228p0L, 0xb.58f3775e06ab66353001fae9fca0p-92L,
+ 0x1.3dea64c12342235b41223ep0L, 0x1.3d773fba2cb82b8244267c54443fp-92L,
+ 0x1.3fa4504ac801ba0bf701aap0L, 0x4.1832fb8c1c8dbdff2c49909e6c60p-92L,
+ 0x1.4160a21f72e29f84325b8ep0L, 0x1.3db61fb352f0540e6ba05634413ep-88L,
+ 0x1.431f5d950a896dc7044394p0L, 0x1.0ccec81e24b0caff7581ef4127f7p-92L,
+ 0x1.44e086061892d03136f408p0L, 0x1.df019fbd4f3b48709b78591d5cb5p-88L,
+ 0x1.46a41ed1d005772512f458p0L, 0x1.229d97df404ff21f39c1b594d3a8p-88L,
+ 0x1.486a2b5c13cd013c1a3b68p0L, 0x1.062f03c3dd75ce8757f780e6ec99p-88L,
+ 0x1.4a32af0d7d3de672d8bcf4p0L, 0x6.f9586461db1d878b1d148bd3ccb8p-92L,
+ 0x1.4bfdad5362a271d4397afep0L, 0xc.42e20e0363ba2e159c579f82e4b0p-92L,
+ 0x1.4dcb299fddd0d63b36ef1ap0L, 0x9.e0cc484b25a5566d0bd5f58ad238p-92L,
+ 0x1.4f9b2769d2ca6ad33d8b68p0L, 0x1.aa073ee55e028497a329a7333dbap-88L,
+ 0x1.516daa2cf6641c112f52c8p0L, 0x4.d822190e718226177d7608d20038p-92L,
+ 0x1.5342b569d4f81df0a83c48p0L, 0x1.d86a63f4e672a3e429805b049465p-88L,
+ 0x1.551a4ca5d920ec52ec6202p0L, 0x4.34ca672645dc6c124d6619a87574p-92L,
+ 0x1.56f4736b527da66ecb0046p0L, 0x1.64eb3c00f2f5ab3d801d7cc7272dp-88L,
+ 0x1.58d12d497c7fd252bc2b72p0L, 0x1.43bcf2ec936a970d9cc266f0072fp-88L,
+ 0x1.5ab07dd48542958c930150p0L, 0x1.91eb345d88d7c81280e069fbdb63p-88L,
+ 0x1.5c9268a5946b701c4b1b80p0L, 0x1.6986a203d84e6a4a92f179e71889p-88L,
+ 0x1.5e76f15ad21486e9be4c20p0L, 0x3.99766a06548a05829e853bdb2b52p-92L,
+ 0x1.605e1b976dc08b076f592ap0L, 0x4.86e3b34ead1b4769df867b9c89ccp-92L,
+ 0x1.6247eb03a5584b1f0fa06ep0L, 0x1.d2da42bb1ceaf9f732275b8aef30p-88L,
+ 0x1.6434634ccc31fc76f8714cp0L, 0x4.ed9a4e41000307103a18cf7a6e08p-92L,
+ 0x1.66238825522249127d9e28p0L, 0x1.b8f314a337f4dc0a3adf1787ff74p-88L,
+ 0x1.68155d44ca973081c57226p0L, 0x1.b9f32706bfe4e627d809a85dcc66p-88L,
+ 0x1.6a09e667f3bcc908b2fb12p0L, 0x1.66ea957d3e3adec17512775099dap-88L,
+ 0x1.6c012750bdabeed76a9980p0L, 0xf.4f33fdeb8b0ecd831106f57b3d00p-96L,
+ 0x1.6dfb23c651a2ef220e2cbep0L, 0x1.bbaa834b3f11577ceefbe6c1c411p-92L,
+ 0x1.6ff7df9519483cf87e1b4ep0L, 0x1.3e213bff9b702d5aa477c12523cep-88L,
+ 0x1.71f75e8ec5f73dd2370f2ep0L, 0xf.0acd6cb434b562d9e8a20adda648p-92L,
+ 0x1.73f9a48a58173bd5c9a4e6p0L, 0x8.ab1182ae217f3a7681759553e840p-92L,
+ 0x1.75feb564267c8bf6e9aa32p0L, 0x1.a48b27071805e61a17b954a2dad8p-88L,
+ 0x1.780694fde5d3f619ae0280p0L, 0x8.58b2bb2bdcf86cd08e35fb04c0f0p-92L,
+ 0x1.7a11473eb0186d7d51023ep0L, 0x1.6cda1f5ef42b66977960531e821bp-88L,
+ 0x1.7c1ed0130c1327c4933444p0L, 0x1.937562b2dc933d44fc828efd4c9cp-88L,
+ 0x1.7e2f336cf4e62105d02ba0p0L, 0x1.5797e170a1427f8fcdf5f3906108p-88L,
+ 0x1.80427543e1a11b60de6764p0L, 0x9.a354ea706b8e4d8b718a672bf7c8p-92L,
+ 0x1.82589994cce128acf88afap0L, 0xb.34a010f6ad65cbbac0f532d39be0p-92L,
+ 0x1.8471a4623c7acce52f6b96p0L, 0x1.c64095370f51f48817914dd78665p-88L,
+ 0x1.868d99b4492ec80e41d90ap0L, 0xc.251707484d73f136fb5779656b70p-92L,
+ 0x1.88ac7d98a669966530bcdep0L, 0x1.2d4e9d61283ef385de170ab20f96p-88L,
+ 0x1.8ace5422aa0db5ba7c55a0p0L, 0x1.92c9bb3e6ed61f2733304a346d8fp-88L,
+ 0x1.8cf3216b5448bef2aa1cd0p0L, 0x1.61c55d84a9848f8c453b3ca8c946p-88L,
+ 0x1.8f1ae991577362b982745cp0L, 0x7.2ed804efc9b4ae1458ae946099d4p-92L,
+ 0x1.9145b0b91ffc588a61b468p0L, 0x1.f6b70e01c2a90229a4c4309ea719p-88L,
+ 0x1.93737b0cdc5e4f4501c3f2p0L, 0x5.40a22d2fc4af581b63e8326efe9cp-92L,
+ 0x1.95a44cbc8520ee9b483694p0L, 0x1.a0fc6f7c7d61b2b3a22a0eab2cadp-88L,
+ 0x1.97d829fde4e4f8b9e920f8p0L, 0x1.1e8bd7edb9d7144b6f6818084cc7p-88L,
+ 0x1.9a0f170ca07b9ba3109b8cp0L, 0x4.6737beb19e1eada6825d3c557428p-92L,
+ 0x1.9c49182a3f0901c7c46b06p0L, 0x1.1f2be58ddade50c217186c90b457p-88L,
+ 0x1.9e86319e323231824ca78ep0L, 0x6.4c6e010f92c082bbadfaf605cfd4p-92L,
+ 0x1.a0c667b5de564b29ada8b8p0L, 0xc.ab349aa0422a8da7d4512edac548p-92L,
+ 0x1.a309bec4a2d3358c171f76p0L, 0x1.0daad547fa22c26d168ea762d854p-88L,
+ 0x1.a5503b23e255c8b424491cp0L, 0xa.f87bc8050a405381703ef7caff50p-92L,
+ 0x1.a799e1330b3586f2dfb2b0p0L, 0x1.58f1a98796ce8908ae852236ca94p-88L,
+ 0x1.a9e6b5579fdbf43eb243bcp0L, 0x1.ff4c4c58b571cf465caf07b4b9f5p-88L,
+ 0x1.ac36bbfd3f379c0db966a2p0L, 0x1.1265fc73e480712d20f8597a8e7bp-88L,
+ 0x1.ae89f995ad3ad5e8734d16p0L, 0x1.73205a7fbc3ae675ea440b162d6cp-88L,
+ 0x1.b0e07298db66590842acdep0L, 0x1.c6f6ca0e5dcae2aafffa7a0554cbp-88L,
+ 0x1.b33a2b84f15faf6bfd0e7ap0L, 0x1.d947c2575781dbb49b1237c87b6ep-88L,
+ 0x1.b59728de559398e3881110p0L, 0x1.64873c7171fefc410416be0a6525p-88L,
+ 0x1.b7f76f2fb5e46eaa7b081ap0L, 0xb.53c5354c8903c356e4b625aacc28p-92L,
+ 0x1.ba5b030a10649840cb3c6ap0L, 0xf.5b47f297203757e1cc6eadc8bad0p-92L,
+ 0x1.bcc1e904bc1d2247ba0f44p0L, 0x1.b3d08cd0b20287092bd59be4ad98p-88L,
+ 0x1.bf2c25bd71e088408d7024p0L, 0x1.18e3449fa073b356766dfb568ff4p-88L,
+ 0x1.c199bdd85529c2220cb12ap0L, 0x9.1ba6679444964a36661240043970p-96L,
+ 0x1.c40ab5fffd07a6d14df820p0L, 0xf.1828a5366fd387a7bdd54cdf7300p-92L,
+ 0x1.c67f12e57d14b4a2137fd2p0L, 0xf.2b301dd9e6b151a6d1f9d5d5f520p-96L,
+ 0x1.c8f6d9406e7b511acbc488p0L, 0x5.c442ddb55820171f319d9e5076a8p-96L,
+ 0x1.cb720dcef90691503cbd1ep0L, 0x9.49db761d9559ac0cb6dd3ed599e0p-92L,
+ 0x1.cdf0b555dc3f9c44f8958ep0L, 0x1.ac51be515f8c58bdfb6f5740a3a4p-88L,
+ 0x1.d072d4a07897b8d0f22f20p0L, 0x1.a158e18fbbfc625f09f4cca40874p-88L,
+ 0x1.d2f87080d89f18ade12398p0L, 0x9.ea2025b4c56553f5cdee4c924728p-92L,
+ 0x1.d5818dcfba48725da05aeap0L, 0x1.66e0dca9f589f559c0876ff23830p-88L,
+ 0x1.d80e316c98397bb84f9d04p0L, 0x8.805f84bec614de269900ddf98d28p-92L,
+ 0x1.da9e603db3285708c01a5ap0L, 0x1.6d4c97f6246f0ec614ec95c99392p-88L,
+ 0x1.dd321f301b4604b695de3cp0L, 0x6.30a393215299e30d4fb73503c348p-96L,
+ 0x1.dfc97337b9b5eb968cac38p0L, 0x1.ed291b7225a944efd5bb5524b927p-88L,
+ 0x1.e264614f5a128a12761fa0p0L, 0x1.7ada6467e77f73bf65e04c95e29dp-88L,
+ 0x1.e502ee78b3ff6273d13014p0L, 0x1.3991e8f49659e1693be17ae1d2f9p-88L,
+ 0x1.e7a51fbc74c834b548b282p0L, 0x1.23786758a84f4956354634a416cep-88L,
+ 0x1.ea4afa2a490d9858f73a18p0L, 0xf.5db301f86dea20610ceee13eb7b8p-92L,
+ 0x1.ecf482d8e67f08db0312fap0L, 0x1.949cef462010bb4bc4ce72a900dfp-88L,
+ 0x1.efa1bee615a27771fd21a8p0L, 0x1.2dac1f6dd5d229ff68e46f27e3dfp-88L,
+ 0x1.f252b376bba974e8696fc2p0L, 0x1.6390d4c6ad5476b5162f40e1d9a9p-88L,
+ 0x1.f50765b6e4540674f84b76p0L, 0x2.862baff99000dfc4352ba29b8908p-92L,
+ 0x1.f7bfdad9cbe138913b4bfep0L, 0x7.2bd95c5ce7280fa4d2344a3f5618p-92L,
+ 0x1.fa7c1819e90d82e90a7e74p0L, 0xb.263c1dc060c36f7650b4c0f233a8p-92L,
+ 0x1.fd3c22b8f71f10975ba4b2p0L, 0x1.2bcf3a5e12d269d8ad7c1a4a8875p-88L
+};
+
+/*
+ * Kernel for expl(x). x must be finite and not tiny or huge.
+ * "tiny" is anything that would make us underflow (|A6*x^6| < ~LDBL_MIN).
+ * "huge" is anything that would make fn*L1 inexact (|x| > ~2**17*ln2).
+ */
+static inline void
+__k_expl(long double x, long double *hip, long double *lop, int *kp)
+{
+ long double q, r, r1, t;
+ double dr, fn, r2;
+ int n, n2;
+
+ /* Reduce x to (k*ln2 + endpoint[n2] + r1 + r2). */
+ /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ /* XXX assume no extra precision for the additions, as for trig fns. */
+ /* XXX this set of comments is now quadruplicated. */
+ /* XXX but see ../src/e_exp.c for a fix using double_t. */
+ fn = (double)x * INV_L + 0x1.8p52 - 0x1.8p52;
+#if defined(HAVE_EFFICIENT_IRINT)
+ n = irint(fn);
+#else
+ n = (int)fn;
+#endif
+ n2 = (unsigned)n % INTERVALS;
+ /* Depend on the sign bit being propagated: */
+ *kp = n >> LOG2_INTERVALS;
+ r1 = x - fn * L1;
+ r2 = fn * -L2;
+ r = r1 + r2;
+
+ /* Evaluate expl(endpoint[n2] + r1 + r2) = tbl[n2] * expl(r1 + r2). */
+ dr = r;
+ q = r2 + r * r * (A2 + r * (A3 + r * (A4 + r * (A5 + r * (A6 +
+ dr * (A7 + dr * (A8 + dr * (A9 + dr * A10))))))));
+ t = tbl[n2].lo + tbl[n2].hi;
+ *hip = tbl[n2].hi;
+ *lop = tbl[n2].lo + t * (q + r1);
+}
+
+/*
+ * XXX: the rest of the functions are identical for ld80 and ld128.
+ * However, we should use scalbnl() for ld128, since long double
+ * multiplication is very slow on the only supported ld128 arch (sparc64).
+ */
+
+static inline void
+k_hexpl(long double x, long double *hip, long double *lop)
+{
+ float twopkm1;
+ int k;
+
+ __k_expl(x, hip, lop, &k);
+ SET_FLOAT_WORD(twopkm1, 0x3f800000 + ((k - 1) << 23));
+ *hip *= twopkm1;
+ *lop *= twopkm1;
+}
+
+static inline long double
+hexpl(long double x)
+{
+ long double hi, lo, twopkm2;
+ int k;
+
+ twopkm2 = 1;
+ __k_expl(x, &hi, &lo, &k);
+ SET_LDBL_EXPSIGN(twopkm2, BIAS + k - 2);
+ return (lo + hi) * 2 * twopkm2;
+}
+
+#ifdef _COMPLEX_H
+/*
+ * See ../src/k_exp.c for details.
+ */
+static inline long double complex
+__ldexp_cexpl(long double complex z, int expt)
+{
+ long double exp_x, hi, lo;
+ long double x, y, scale1, scale2;
+ int half_expt, k;
+
+ x = creall(z);
+ y = cimagl(z);
+ __k_expl(x, &hi, &lo, &k);
+
+ exp_x = (lo + hi) * 0x1p16382;
+ expt += k - 16382;
+
+ scale1 = 1;
+ half_expt = expt / 2;
+ SET_LDBL_EXPSIGN(scale1, BIAS + half_expt);
+ scale2 = 1;
+ SET_LDBL_EXPSIGN(scale1, BIAS + expt - half_expt);
+
+ return (CMPLXL(cos(y) * exp_x * scale1 * scale2,
+ sinl(y) * exp_x * scale1 * scale2));
+}
+#endif /* _COMPLEX_H */
diff --git a/libm/upstream-freebsd/lib/msun/ld128/k_sinl.c b/libm/upstream-freebsd/lib/msun/ld128/k_sinl.c
new file mode 100644
index 0000000..09472d6
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/k_sinl.c
@@ -0,0 +1,59 @@
+/* From: @(#)k_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ld128 version of k_sin.c. See ../src/k_sin.c for most comments.
+ */
+
+#include "math_private.h"
+
+static const double
+half = 0.5;
+
+/*
+ * Domain [-0.7854, 0.7854], range ~[-1.53e-37, 1.659e-37]
+ * |sin(x)/x - s(x)| < 2**-122.1
+ *
+ * See ../ld80/k_cosl.c for more details about the polynomial.
+ */
+static const long double
+S1 = -0.16666666666666666666666666666666666606732416116558L,
+S2 = 0.0083333333333333333333333333333331135404851288270047L,
+S3 = -0.00019841269841269841269841269839935785325638310428717L,
+S4 = 0.27557319223985890652557316053039946268333231205686e-5L,
+S5 = -0.25052108385441718775048214826384312253862930064745e-7L,
+S6 = 0.16059043836821614596571832194524392581082444805729e-9L,
+S7 = -0.76471637318198151807063387954939213287488216303768e-12L,
+S8 = 0.28114572543451292625024967174638477283187397621303e-14L;
+
+static const double
+S9 = -0.82206352458348947812512122163446202498005154296863e-17,
+S10 = 0.19572940011906109418080609928334380560135358385256e-19,
+S11 = -0.38680813379701966970673724299207480965452616911420e-22,
+S12 = 0.64038150078671872796678569586315881020659912139412e-25;
+
+long double
+__kernel_sinl(long double x, long double y, int iy)
+{
+ long double z,r,v;
+
+ z = x*x;
+ v = z*x;
+ r = S2+z*(S3+z*(S4+z*(S5+z*(S6+z*(S7+z*(S8+
+ z*(S9+z*(S10+z*(S11+z*S12)))))))));
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/k_tanl.c b/libm/upstream-freebsd/lib/msun/ld128/k_tanl.c
new file mode 100644
index 0000000..d7ec0b9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/k_tanl.c
@@ -0,0 +1,119 @@
+/* From: @(#)k_tan.c 1.5 04/04/22 SMI */
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+ * Copyright (c) 2008 Steven G. Kargl, David Schultz, Bruce D. Evans.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ld128 version of k_tan.c. See ../src/k_tan.c for most comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Domain [-0.67434, 0.67434], range ~[-3.37e-36, 1.982e-37]
+ * |tan(x)/x - t(x)| < 2**-117.8 (XXX should be ~1e-37)
+ *
+ * See ../ld80/k_cosl.c for more details about the polynomial.
+ */
+static const long double
+T3 = 0x1.5555555555555555555555555553p-2L,
+T5 = 0x1.1111111111111111111111111eb5p-3L,
+T7 = 0x1.ba1ba1ba1ba1ba1ba1ba1b694cd6p-5L,
+T9 = 0x1.664f4882c10f9f32d6bbe09d8bcdp-6L,
+T11 = 0x1.226e355e6c23c8f5b4f5762322eep-7L,
+T13 = 0x1.d6d3d0e157ddfb5fed8e84e27b37p-9L,
+T15 = 0x1.7da36452b75e2b5fce9ee7c2c92ep-10L,
+T17 = 0x1.355824803674477dfcf726649efep-11L,
+T19 = 0x1.f57d7734d1656e0aceb716f614c2p-13L,
+T21 = 0x1.967e18afcb180ed942dfdc518d6cp-14L,
+T23 = 0x1.497d8eea21e95bc7e2aa79b9f2cdp-15L,
+T25 = 0x1.0b132d39f055c81be49eff7afd50p-16L,
+T27 = 0x1.b0f72d33eff7bfa2fbc1059d90b6p-18L,
+T29 = 0x1.5ef2daf21d1113df38d0fbc00267p-19L,
+T31 = 0x1.1c77d6eac0234988cdaa04c96626p-20L,
+T33 = 0x1.cd2a5a292b180e0bdd701057dfe3p-22L,
+T35 = 0x1.75c7357d0298c01a31d0a6f7d518p-23L,
+T37 = 0x1.2f3190f4718a9a520f98f50081fcp-24L,
+pio4 = 0x1.921fb54442d18469898cc51701b8p-1L,
+pio4lo = 0x1.cd129024e088a67cc74020bbea60p-116L;
+
+static const double
+T39 = 0.000000028443389121318352, /* 0x1e8a7592977938.0p-78 */
+T41 = 0.000000011981013102001973, /* 0x19baa1b1223219.0p-79 */
+T43 = 0.0000000038303578044958070, /* 0x107385dfb24529.0p-80 */
+T45 = 0.0000000034664378216909893, /* 0x1dc6c702a05262.0p-81 */
+T47 = -0.0000000015090641701997785, /* -0x19ecef3569ebb6.0p-82 */
+T49 = 0.0000000029449552300483952, /* 0x194c0668da786a.0p-81 */
+T51 = -0.0000000022006995706097711, /* -0x12e763b8845268.0p-81 */
+T53 = 0.0000000015468200913196612, /* 0x1a92fc98c29554.0p-82 */
+T55 = -0.00000000061311613386849674, /* -0x151106cbc779a9.0p-83 */
+T57 = 1.4912469681508012e-10; /* 0x147edbdba6f43a.0p-85 */
+
+long double
+__kernel_tanl(long double x, long double y, int iy) {
+ long double z, r, v, w, s;
+ long double osign;
+ int i;
+
+ iy = (iy == 1 ? -1 : 1); /* XXX recover original interface */
+ osign = (x >= 0 ? 1.0 : -1.0); /* XXX slow, probably wrong for -0 */
+ if (fabsl(x) >= 0.67434) {
+ if (x < 0) {
+ x = -x;
+ y = -y;
+ }
+ z = pio4 - x;
+ w = pio4lo - y;
+ x = z + w;
+ y = 0.0;
+ i = 1;
+ } else
+ i = 0;
+ z = x * x;
+ w = z * z;
+ r = T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 +
+ w * (T25 + w * (T29 + w * (T33 +
+ w * (T37 + w * (T41 + w * (T45 + w * (T49 + w * (T53 +
+ w * T57))))))))))));
+ v = z * (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 +
+ w * (T27 + w * (T31 + w * (T35 +
+ w * (T39 + w * (T43 + w * (T47 + w * (T51 + w * T55))))))))))));
+ s = z * x;
+ r = y + z * (s * (r + v) + y);
+ r += T3 * s;
+ w = x + r;
+ if (i == 1) {
+ v = (long double) iy;
+ return osign *
+ (v - 2.0 * (x - (w * w / (w + v) - r)));
+ }
+ if (iy == 1)
+ return w;
+ else {
+ /*
+ * if allow error up to 2 ulp, simply return
+ * -1.0 / (x+r) here
+ */
+ /* compute -1.0 / (x+r) accurately */
+ long double a, t;
+ z = w;
+ z = z + 0x1p32 - 0x1p32;
+ v = r - (z - x); /* z+v = r+x */
+ t = a = -1.0 / w; /* a = -1.0/w */
+ t = t + 0x1p32 - 0x1p32;
+ s = 1.0 + t * z;
+ return t + a * (s + t * v);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_erfl.c b/libm/upstream-freebsd/lib/msun/ld128/s_erfl.c
new file mode 100644
index 0000000..e29c969
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_erfl.c
@@ -0,0 +1,329 @@
+/* @(#)s_erf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See s_erf.c for complete comments.
+ *
+ * Converted to long double by Steven G. Kargl.
+ */
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* XXX Prevent compilers from erroneously constant folding these: */
+static const volatile long double tiny = 0x1p-10000L;
+
+static const double
+half= 0.5,
+one = 1,
+two = 2;
+/*
+ * In the domain [0, 2**-40], only the first term in the power series
+ * expansion of erf(x) is used. The magnitude of the first neglected
+ * terms is less than 2**-120.
+ */
+static const long double
+efx = 1.28379167095512573896158903121545167e-01L, /* 0xecbff6a7, 0x481dd788, 0xb64d21a8, 0xeb06fc3f */
+efx8 = 1.02703333676410059116927122497236133e+00L, /* 0xecbff6a7, 0x481dd788, 0xb64d21a8, 0xeb06ff3f */
+/*
+ * Domain [0, 0.84375], range ~[-1.919e-38, 1.919e-38]:
+ * |(erf(x) - x)/x - pp(x)/qq(x)| < 2**-125.29
+ */
+pp0 = 1.28379167095512573896158903121545167e-01L, /* 0x3ffc06eb, 0xa8214db6, 0x88d71d48, 0xa7f6bfec */
+pp1 = -3.14931554396568573802046931159683404e-01L, /* 0xbffd427d, 0x6ada7263, 0x547eb096, 0x95f37463 */
+pp2 = -5.27514920282183487103576956956725309e-02L, /* 0xbffab023, 0xe5a271e3, 0xb0e79b01, 0x2f7ac962 */
+pp3 = -1.13202828509005281355609495523452713e-02L, /* 0xbff872f1, 0x6a5023a1, 0xe08b3884, 0x326af20f */
+pp4 = -9.18626155872522453865998391206048506e-04L, /* 0xbff4e19f, 0xea5fb024, 0x43247a37, 0xe430b06c */
+pp5 = -7.87518862406176274922506447157284230e-05L, /* 0xbff14a4f, 0x31a85fe0, 0x7fff2204, 0x09c49b37 */
+pp6 = -3.42357944472240436548115331090560881e-06L, /* 0xbfeccb81, 0x4b43c336, 0xcd2eb6c2, 0x903f2d87 */
+pp7 = -1.37317432573890412634717890726745428e-07L, /* 0xbfe826e3, 0x0e915eb6, 0x42aee414, 0xf7e36805 */
+pp8 = -2.71115170113861755855049008732113726e-09L, /* 0xbfe2749e, 0x2b94fd00, 0xecb4d166, 0x0efb91f8 */
+pp9 = -3.37925756196555959454018189718117864e-11L, /* 0xbfdc293e, 0x1d9060cb, 0xd043204a, 0x314cd7f0 */
+qq1 = 4.76672625471551170489978555182449450e-01L, /* 0x3ffde81c, 0xde6531f0, 0x76803bee, 0x526e29e9 */
+qq2 = 1.06713144672281502058807525850732240e-01L, /* 0x3ffbb518, 0xd7a6bb74, 0xcd9bdd33, 0x7601eee5 */
+qq3 = 1.47747613127513761102189201923147490e-02L, /* 0x3ff8e423, 0xae527e18, 0xf12cb447, 0x723b4749 */
+qq4 = 1.39939377672028671891148770908874816e-03L, /* 0x3ff56ed7, 0xba055d84, 0xc21b45c4, 0x388d1812 */
+qq5 = 9.44302939359455241271983309378738276e-05L, /* 0x3ff18c11, 0xc18c99a4, 0x86d0fe09, 0x46387b4c */
+qq6 = 4.56199342312522842161301671745365650e-06L, /* 0x3fed3226, 0x73421d05, 0x08875300, 0x32fa1432 */
+qq7 = 1.53019260483764773845294600092361197e-07L, /* 0x3fe8489b, 0x3a63f627, 0x2b9ad2ce, 0x26516e57 */
+qq8 = 3.25542691121324805094777901250005508e-09L, /* 0x3fe2bf6c, 0x26d93a29, 0x9142be7c, 0x9f1dd043 */
+qq9 = 3.37405581964478060434410167262684979e-11L; /* 0x3fdc28c8, 0xfb8fa1be, 0x10e57eec, 0xaa19e49f */
+
+static const long double
+erx = 8.42700792949714894142232424201210961e-01L, /* 0x3ffeaf76, 0x7a741088, 0xb0000000, 0x00000000 */
+/*
+ * Domain [0.84375, 1.25], range ~[-2.521e-36, 2.523e-36]:
+ * |(erf(x) - erx) - pa(x)/qa(x)| < 2**-120.15
+ */
+pa0 = -2.48010117891186017024438233323795897e-17L, /* 0xbfc7c97f, 0x77812279, 0x6c877f22, 0xef4bfb2e */
+pa1 = 4.15107497420594680894327969504526489e-01L, /* 0x3ffda911, 0xf096fbc2, 0x55662005, 0x2337fa64 */
+pa2 = -3.94180628087084846724448515851892609e-02L, /* 0xbffa42e9, 0xab54528c, 0xad529da1, 0x6efc2af3 */
+pa3 = 4.48897599625192107295954790681677462e-02L, /* 0x3ffa6fbc, 0xa65edba1, 0x0e4cbcea, 0x73ef9a31 */
+pa4 = 8.02069252143016600110972019232995528e-02L, /* 0x3ffb4887, 0x0e8b548e, 0x3230b417, 0x11b553b3 */
+pa5 = -1.02729816533435279443621120242391295e-02L, /* 0xbff850a0, 0x041de3ee, 0xd5bca6c9, 0x4ef5f9f2 */
+pa6 = 5.70777694530755634864821094419982095e-03L, /* 0x3ff77610, 0x9b501e10, 0x4c978382, 0x742df68f */
+pa7 = 1.22635150233075521018231779267077071e-03L, /* 0x3ff5417b, 0x0e623682, 0x60327da0, 0x96b9219e */
+pa8 = 5.36100234820204569428412542856666503e-04L, /* 0x3ff41912, 0x27ceb4c1, 0x1d3298ec, 0x84ced627 */
+pa9 = -1.97753571846365167177187858667583165e-04L, /* 0xbff29eb8, 0x23f5bcf3, 0x15c83c46, 0xe4fda98b */
+pa10 = 6.19333039900846970674794789568415105e-05L, /* 0x3ff103c4, 0x60f88e46, 0xc0c9fb02, 0x13cc7fc1 */
+pa11 = -5.40531400436645861492290270311751349e-06L, /* 0xbfed6abe, 0x9665f8a8, 0xdd0ad3ba, 0xe5dc0ee3 */
+qa1 = 9.05041313265490487793231810291907851e-01L, /* 0x3ffecf61, 0x93340222, 0xe9930620, 0xc4e61168 */
+qa2 = 6.79848064708886864767240880834868092e-01L, /* 0x3ffe5c15, 0x0ba858dc, 0xf7900ae9, 0xfea1e09a */
+qa3 = 4.04720609926471677581066689316516445e-01L, /* 0x3ffd9e6f, 0x145e9b00, 0x6d8c1749, 0xd2928623 */
+qa4 = 1.69183273898369996364661075664302225e-01L, /* 0x3ffc5a7c, 0xc2a363c1, 0xd6c19097, 0xef9b4063 */
+qa5 = 7.44476185988067992342479750486764248e-02L, /* 0x3ffb30ef, 0xfc7259ef, 0x1bcbb089, 0x686dd62d */
+qa6 = 2.02981172725892407200420389604788573e-02L, /* 0x3ff94c90, 0x7976cb0e, 0x21e1d36b, 0x0f09ca2b */
+qa7 = 6.94281866271607668268269403102277234e-03L, /* 0x3ff7c701, 0x2b193250, 0xc5d46ecc, 0x374843d8 */
+qa8 = 1.12952275469171559611651594706820034e-03L, /* 0x3ff52818, 0xfd2a7c06, 0xd13e38fd, 0xda4b34f5 */
+qa9 = 3.13736683241992737197226578597710179e-04L, /* 0x3ff348fa, 0x0cb48d18, 0x051f849b, 0x135ccf74 */
+qa10 = 1.17037675204033225470121134087771410e-05L, /* 0x3fee88b6, 0x98f47704, 0xa5d8f8f2, 0xc6422e11 */
+qa11 = 4.61312518293853991439362806880973592e-06L, /* 0x3fed3594, 0xe31db94f, 0x3592b693, 0xed4386b4 */
+qa12 = -1.02158572037456893687737553657431771e-06L; /* 0xbfeb123a, 0xd60d9b1e, 0x1f6fdeb9, 0x7dc8410a */
+/*
+ * Domain [1.25,2.85715], range ~[-2.922e-37,2.922e-37]:
+ * |log(x*erfc(x)) + x**2 + 0.5625 - ra(x)/sa(x)| < 2**-121.36
+ */
+static const long double
+ra0 = -9.86494292470069009555706994426014461e-03L, /* 0xbff84341, 0x239e8709, 0xe941b06a, 0xcb4b6ec5 */
+ra1 = -1.13580436992565640457579040117568870e+00L, /* 0xbfff22c4, 0x133f7c0d, 0x72d5e231, 0x2eb1ee3f */
+ra2 = -4.89744330295291950661185707066921755e+01L, /* 0xc00487cb, 0xa38b4fc2, 0xc136695b, 0xc1df8047 */
+ra3 = -1.10766149300215937173768072715352140e+03L, /* 0xc00914ea, 0x55e6beb3, 0xabc50e07, 0xb6e5664d */
+ra4 = -1.49991031232170934967642795601952100e+04L, /* 0xc00cd4b8, 0xd33243e6, 0xffbf6545, 0x3c57ef6e */
+ra5 = -1.29805749738318462882524181556996692e+05L, /* 0xc00ffb0d, 0xbfeed9b6, 0x5b2a3ff4, 0xe245bd3c */
+ra6 = -7.42828497044940065828871976644647850e+05L, /* 0xc0126ab5, 0x8fe7caca, 0x473352d9, 0xcd4e0c90 */
+ra7 = -2.85637299581890734287995171242421106e+06L, /* 0xc0145cad, 0xa7f76fe7, 0x3e358051, 0x1799f927 */
+ra8 = -7.40674797129824999383748865571026084e+06L, /* 0xc015c412, 0x6fe29c02, 0x298ad158, 0x7d24e45c */
+ra9 = -1.28653420911930973914078724204151759e+07L, /* 0xc016889e, 0x7c2eb0dc, 0x95d5863b, 0x0aa34dc3 */
+ra10 = -1.47198163599330179552932489109452638e+07L, /* 0xc016c136, 0x90b84923, 0xf9bcb497, 0x19bbd0f5 */
+ra11 = -1.07812992258382800318665248311522624e+07L, /* 0xc0164904, 0xe673a113, 0x35d7f079, 0xe13701f3 */
+ra12 = -4.83545565681708642630419905537756076e+06L, /* 0xc0152721, 0xfea094a8, 0x869eb39d, 0x413d6f13 */
+ra13 = -1.23956521201673964822976917356685286e+06L, /* 0xc0132ea0, 0xd3646baa, 0x2fe62b0d, 0xbae5ce85 */
+ra14 = -1.62289333553652417591275333240371812e+05L, /* 0xc0103cf8, 0xaab1e2d6, 0x4c25e014, 0x248d76ab */
+ra15 = -8.82890392601176969729168894389833110e+03L, /* 0xc00c13e7, 0x3b3d8f94, 0x6fbda6f6, 0xe7049a82 */
+ra16 = -1.22591866337261720023681535568334619e+02L, /* 0xc005ea5e, 0x12358891, 0xcfa712c5, 0x77f050d4 */
+sa1 = 6.44508918884710829371852723353794047e+01L, /* 0x400501cd, 0xb69a6c0f, 0x5716de14, 0x47161af6 */
+sa2 = 1.76118475473171481523704824327358534e+03L, /* 0x4009b84b, 0xd305829f, 0xc4c771b0, 0xbf1f7f9b */
+sa3 = 2.69448346969488374857087646131950188e+04L, /* 0x400da503, 0x56bacc05, 0x4fdba68d, 0x2cca27e6 */
+sa4 = 2.56826633369941456778326497384543763e+05L, /* 0x4010f59d, 0x51124428, 0x69c41de6, 0xbd0d5753 */
+sa5 = 1.60647413092257206847700054645905859e+06L, /* 0x40138834, 0xa2184244, 0x557a1bed, 0x68c9d556 */
+sa6 = 6.76963075165099718574753447122393797e+06L, /* 0x40159d2f, 0x7b01b0cc, 0x8bac9e95, 0x5d35d56e */
+sa7 = 1.94295690905361884290986932493647741e+07L, /* 0x40172878, 0xc1172d61, 0x3068501e, 0x2f3c71da */
+sa8 = 3.79774781017759149060839255547073541e+07L, /* 0x401821be, 0xc30d06fe, 0x410563d7, 0x032111fd */
+sa9 = 5.00659831846029484248302236457727397e+07L, /* 0x40187df9, 0x1f97a111, 0xc51d6ac2, 0x4b389793 */
+sa10 = 4.36486287620506484276130525941972541e+07L, /* 0x40184d03, 0x3a618ae0, 0x2a723357, 0xfa45c60a */
+sa11 = 2.43779678791333894255510508253951934e+07L, /* 0x401773fa, 0x6fe10ee2, 0xc467850d, 0xc6b7ff30 */
+sa12 = 8.30732360384443202039372372212966542e+06L, /* 0x4015fb09, 0xee6a5631, 0xdd98de7e, 0x8b00461a */
+sa13 = 1.60160846942050515734192397495105693e+06L, /* 0x40138704, 0x8782bf13, 0x5b8fb315, 0xa898abe5 */
+sa14 = 1.54255505242533291014555153757001825e+05L, /* 0x40102d47, 0xc0abc98e, 0x843c9490, 0xb4352440 */
+sa15 = 5.87949220002375547561467275493888824e+03L, /* 0x400b6f77, 0xe00d21d1, 0xec4d41e8, 0x2f8e1673 */
+sa16 = 4.97272976346793193860385983372237710e+01L; /* 0x40048dd1, 0x816c1b3f, 0x24f540a6, 0x4cfe03cc */
+/*
+ * Domain [2.85715,9], range ~[-7.886e-37,7.918e-37]:
+ * |log(x*erfc(x)) + x**2 + 0.5625 - rb(x)/sb(x)| < 2**-120
+ */
+static const long double
+rb0 = -9.86494292470008707171371994479162369e-3L, /* 0xbff84341, 0x239e86f4, 0x2f57e561, 0xf4469360 */
+rb1 = -1.57047326624110727986326503729442830L, /* 0xbfff920a, 0x8935bf73, 0x8803b894, 0x4656482d */
+rb2 = -1.03228196364885474342132255440317065e2L, /* 0xc0059ce9, 0xac4ed0ff, 0x2cff0ff7, 0x5e70d1ab */
+rb3 = -3.74000570653418227179358710865224376e3L, /* 0xc00ad380, 0x2ebf7835, 0xf6b07ed2, 0x861242f7 */
+rb4 = -8.35435477739098044190860390632813956e4L, /* 0xc00f4657, 0x8c3ae934, 0x3647d7b3, 0x80e76fb7 */
+rb5 = -1.21398672055223642118716640216747152e6L, /* 0xc0132862, 0x2b8761c8, 0x27d18c0f, 0x137c9463 */
+rb6 = -1.17669175877248796101665344873273970e7L, /* 0xc0166719, 0x0b2cea46, 0x81f14174, 0x11602ea5 */
+rb7 = -7.66108006086998253606773064264599615e7L, /* 0xc019243f, 0x3c26f4f0, 0x1cc05241, 0x3b953728 */
+rb8 = -3.32547117558141845968704725353130804e8L, /* 0xc01b3d24, 0x42d8ee26, 0x24ef6f3b, 0x604a8c65 */
+rb9 = -9.41561252426350696802167711221739746e8L, /* 0xc01cc0f8, 0xad23692a, 0x8ddb2310, 0xe9937145 */
+rb10 = -1.67157110805390944549427329626281063e9L, /* 0xc01d8e88, 0x9a903734, 0x09a55fa3, 0xd205c903 */
+rb11 = -1.74339631004410841337645931421427373e9L, /* 0xc01d9fa8, 0x77582d2a, 0xc183b8ab, 0x7e00cb05 */
+rb12 = -9.57655233596934915727573141357471703e8L, /* 0xc01cc8a5, 0x460cc685, 0xd0271fa0, 0x6a70e3da */
+rb13 = -2.26320062731339353035254704082495066e8L, /* 0xc01aafab, 0xd7d76721, 0xc9720e11, 0x6a8bd489 */
+rb14 = -1.42777302996263256686002973851837039e7L, /* 0xc016b3b8, 0xc499689f, 0x2b88d965, 0xc32414f9 */
+sb1 = 1.08512869705594540211033733976348506e2L, /* 0x4005b20d, 0x2db7528d, 0x00d20dcb, 0x858f6191 */
+sb2 = 5.02757713761390460534494530537572834e3L, /* 0x400b3a39, 0x3bf4a690, 0x3025d28d, 0xfd40a891 */
+sb3 = 1.31019107205412870059331647078328430e5L, /* 0x400fffcb, 0x1b71d05e, 0x3b28361d, 0x2a3c3690 */
+sb4 = 2.13021555152296846166736757455018030e6L, /* 0x40140409, 0x3c6984df, 0xc4491d7c, 0xb04aa08d */
+sb5 = 2.26649105281820861953868568619768286e7L, /* 0x401759d6, 0xce8736f0, 0xf28ad037, 0x2a901e0c */
+sb6 = 1.61071939490875921812318684143076081e8L, /* 0x401a3338, 0x686fb541, 0x6bd27d06, 0x4f95c9ac */
+sb7 = 7.66895673844301852676056750497991966e8L, /* 0x401c6daf, 0x31cec121, 0x54699126, 0x4bd9bf9e */
+sb8 = 2.41884450436101936436023058196042526e9L, /* 0x401e2059, 0x46b0b8d7, 0x87b64cbf, 0x78bc296d */
+sb9 = 4.92403055884071695093305291535107666e9L, /* 0x401f257e, 0xbe5ed739, 0x39e17346, 0xcadd2e55 */
+sb10 = 6.18627786365587486459633615573786416e9L, /* 0x401f70bb, 0x1be7a7e7, 0x6a45b5ae, 0x607c70f0 */
+sb11 = 4.45898013426501378097430226324743199e9L, /* 0x401f09c6, 0xa32643d7, 0xf1724620, 0x9ea46c32 */
+sb12 = 1.63006115763329848117160344854224975e9L, /* 0x401d84a3, 0x0996887f, 0x65a4f43b, 0x978c1d74 */
+sb13 = 2.39216717012421697446304015847567721e8L, /* 0x401ac845, 0x09a065c2, 0x30095da7, 0x9d72d6ae */
+sb14 = 7.84837329009278694937250358810225609e6L; /* 0x4015df06, 0xd5290e15, 0x63031fac, 0x4d9c894c */
+/*
+ * Domain [9,108], range ~[-5.324e-38,5.340e-38]:
+ * |log(x*erfc(x)) + x**2 + 0.5625 - r(x)/s(x)| < 2**-124
+ */
+static const long double
+rc0 = -9.86494292470008707171367567652935673e-3L, /* 0xbff84341, 0x239e86f4, 0x2f57e55b, 0x1aa10fd3 */
+rc1 = -1.26229447747315096406518846411562266L, /* 0xbfff4325, 0xbb1aab28, 0xda395cd9, 0xfb861c15 */
+rc2 = -6.13742634438922591780742637728666162e1L, /* 0xc004eafe, 0x7dd51cd8, 0x3c7c5928, 0x751e50cf */
+rc3 = -1.50455835478908280402912854338421517e3L, /* 0xc0097823, 0xbc15b9ab, 0x3d60745c, 0x523e80a5 */
+rc4 = -2.04415631865861549920184039902945685e4L, /* 0xc00d3f66, 0x40b3fc04, 0x5388f2ec, 0xb009e1f0 */
+rc5 = -1.57625662981714582753490610560037638e5L, /* 0xc01033dc, 0xd4dc95b6, 0xfd4da93b, 0xf355b4a9 */
+rc6 = -6.73473451616752528402917538033283794e5L, /* 0xc01248d8, 0x2e73a4f9, 0xcded49c5, 0xfa3bfeb7 */
+rc7 = -1.47433165421387483167186683764364857e6L, /* 0xc01367f1, 0xba77a8f7, 0xcfdd0dbb, 0x25d554b3 */
+rc8 = -1.38811981807868828563794929997744139e6L, /* 0xc01352e5, 0x7d16d9ad, 0xbbdcbf38, 0x38fbc5ea */
+rc9 = -3.59659700530831825640766479698155060e5L, /* 0xc0115f3a, 0xecd57f45, 0x21f8ad6c, 0x910a5958 */
+sc1 = 7.72730753022908298637508998072635696e1L, /* 0x40053517, 0xa10d52bc, 0xdabb55b6, 0xbd0328cd */
+sc2 = 2.36825757341694050500333261769082182e3L, /* 0x400a2808, 0x3e0a9b42, 0x82977842, 0x9c5de29e */
+sc3 = 3.72210540173034735352888847134073099e4L, /* 0x400e22ca, 0x1ba827ef, 0xac8390d7, 0x1fc39a41 */
+sc4 = 3.24136032646418336712461033591393412e5L, /* 0x40113c8a, 0x0216e100, 0xc59d1e44, 0xf0e68d9d */
+sc5 = 1.57836135851134393802505823370009175e6L, /* 0x40138157, 0x95bc7664, 0x17575961, 0xdbe58eeb */
+sc6 = 4.12881981392063738026679089714182355e6L, /* 0x4014f801, 0x9e82e8d2, 0xb8b3a70e, 0xfd84185d */
+sc7 = 5.24438427289213488410596395361544142e6L, /* 0x40154017, 0x81177109, 0x2aa6c3b0, 0x1f106625 */
+sc8 = 2.59909544563616121735963429710382149e6L, /* 0x40143d45, 0xbb90a9b1, 0x12bf9390, 0xa827a700 */
+sc9 = 2.80930665169282501639651995082335693e5L; /* 0x40111258, 0xaa92222e, 0xa97e3216, 0xa237fa6c */
+
+long double
+erfl(long double x)
+{
+ long double ax,R,S,P,Q,s,y,z,r;
+ uint64_t lx, llx;
+ int32_t i;
+ uint16_t hx;
+
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+
+ if((hx & 0x7fff) == 0x7fff) { /* erfl(nan)=nan */
+ i = (hx>>15)<<1;
+ return (1-i)+one/x; /* erfl(+-inf)=+-1 */
+ }
+
+ ax = fabsl(x);
+ if(ax < 0.84375) {
+ if(ax < 0x1p-40L) {
+ if(ax < 0x1p-16373L)
+ return (8*x+efx8*x)/8; /* avoid spurious underflow */
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*(pp4+z*(pp5+z*(pp6+z*(pp7+
+ z*(pp8+z*pp9))))))));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*(qq5+z*(qq6+z*(qq7+
+ z*(qq8+z*qq9))))))));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ax < 1.25) {
+ s = ax-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*(pa6+s*(pa7+
+ s*(pa8+s*(pa9+s*(pa10+s*pa11))))))))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*(qa6+s*(qa7+
+ s*(qa8+s*(qa9+s*(qa10+s*(qa11+s*qa12)))))))))));
+ if(x>=0) return (erx + P/Q); else return (-erx - P/Q);
+ }
+ if (ax >= 9) { /* inf>|x|>= 9 */
+ if(x>=0) return (one-tiny); else return (tiny-one);
+ }
+ s = one/(ax*ax);
+ if(ax < 2.85715) { /* |x| < 2.85715 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(ra5+s*(ra6+s*(ra7+
+ s*(ra8+s*(ra9+s*(ra10+s*(ra11+s*(ra12+s*(ra13+s*(ra14+
+ s*(ra15+s*ra16)))))))))))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(sa5+s*(sa6+s*(sa7+
+ s*(sa8+s*(sa9+s*(sa10+s*(sa11+s*(sa12+s*(sa13+s*(sa14+
+ s*(sa15+s*sa16)))))))))))))));
+ } else { /* |x| >= 2.85715 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(rb5+s*(rb6+s*(rb7+
+ s*(rb8+s*(rb9+s*(rb10+s*(rb11+s*(rb12+s*(rb13+
+ s*rb14)))))))))))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(sb5+s*(sb6+s*(sb7+
+ s*(sb8+s*(sb9+s*(sb10+s*(sb11+s*(sb12+s*(sb13+
+ s*sb14)))))))))))));
+ }
+ z = (float)ax;
+ r = expl(-z*z-0.5625)*expl((z-ax)*(z+ax)+R/S);
+ if(x>=0) return (one-r/ax); else return (r/ax-one);
+}
+
+long double
+erfcl(long double x)
+{
+ long double ax,R,S,P,Q,s,y,z,r;
+ uint64_t lx, llx;
+ uint16_t hx;
+
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+
+ if((hx & 0x7fff) == 0x7fff) { /* erfcl(nan)=nan */
+ /* erfcl(+-inf)=0,2 */
+ return ((hx>>15)<<1)+one/x;
+ }
+
+ ax = fabsl(x);
+ if(ax < 0.84375L) {
+ if(ax < 0x1p-34L)
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*(pp4+z*(pp5+z*(pp6+z*(pp7+
+ z*(pp8+z*pp9))))))));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*(qq5+z*(qq6+z*(qq7+
+ z*(qq8+z*qq9))))))));
+ y = r/s;
+ if(ax < 0.25L) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r;
+ }
+ }
+ if(ax < 1.25L) {
+ s = ax-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*(pa6+s*(pa7+
+ s*(pa8+s*(pa9+s*(pa10+s*pa11))))))))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*(qa6+s*(qa7+
+ s*(qa8+s*(qa9+s*(qa10+s*(qa11+s*qa12)))))))))));
+ if(x>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+
+ if(ax < 108) { /* |x| < 108 */
+ s = one/(ax*ax);
+ if(ax < 2.85715) { /* |x| < 2.85715 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(ra5+s*(ra6+s*(ra7+
+ s*(ra8+s*(ra9+s*(ra10+s*(ra11+s*(ra12+s*(ra13+s*(ra14+
+ s*(ra15+s*ra16)))))))))))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(sa5+s*(sa6+s*(sa7+
+ s*(sa8+s*(sa9+s*(sa10+s*(sa11+s*(sa12+s*(sa13+s*(sa14+
+ s*(sa15+s*sa16)))))))))))))));
+ } else if(ax < 9) {
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(rb5+s*(rb6+s*(rb7+
+ s*(rb8+s*(rb9+s*(rb10+s*(rb11+s*(rb12+s*(rb13+
+ s*rb14)))))))))))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(sb5+s*(sb6+s*(sb7+
+ s*(sb8+s*(sb9+s*(sb10+s*(sb11+s*(sb12+s*(sb13+
+ s*sb14)))))))))))));
+ } else {
+ if(x < -9) return two-tiny; /* x < -9 */
+ R=rc0+s*(rc1+s*(rc2+s*(rc3+s*(rc4+s*(rc5+s*(rc6+s*(rc7+
+ s*(rc8+s*rc9))))))));
+ S=one+s*(sc1+s*(sc2+s*(sc3+s*(sc4+s*(sc5+s*(sc6+s*(sc7+
+ s*(sc8+s*sc9))))))));
+ }
+ z = (float)ax;
+ r = expl(-z*z-0.5625)*expl((z-ax)*(z+ax)+R/S);
+ if(x>0) return r/ax; else return two-r/ax;
+ } else {
+ if(x>0) return tiny*tiny; else return two-tiny;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_exp2l.c b/libm/upstream-freebsd/lib/msun/ld128/s_exp2l.c
new file mode 100644
index 0000000..5afa37e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_exp2l.c
@@ -0,0 +1,427 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+#include "math.h"
+
+#define TBLBITS 7
+#define TBLSIZE (1 << TBLBITS)
+
+#define BIAS (LDBL_MAX_EXP - 1)
+#define EXPMASK (BIAS + LDBL_MAX_EXP)
+
+static volatile long double
+ huge = 0x1p10000L,
+ twom10000 = 0x1p-10000L;
+
+static const long double
+ P1 = 0x1.62e42fefa39ef35793c7673007e6p-1L,
+ P2 = 0x1.ebfbdff82c58ea86f16b06ec9736p-3L,
+ P3 = 0x1.c6b08d704a0bf8b33a762bad3459p-5L,
+ P4 = 0x1.3b2ab6fba4e7729ccbbe0b4f3fc2p-7L,
+ P5 = 0x1.5d87fe78a67311071dee13fd11d9p-10L,
+ P6 = 0x1.430912f86c7876f4b663b23c5fe5p-13L;
+
+static const double
+ P7 = 0x1.ffcbfc588b041p-17,
+ P8 = 0x1.62c0223a5c7c7p-20,
+ P9 = 0x1.b52541ff59713p-24,
+ P10 = 0x1.e4cf56a391e22p-28,
+ redux = 0x1.8p112 / TBLSIZE;
+
+static const long double tbl[TBLSIZE] = {
+ 0x1.6a09e667f3bcc908b2fb1366dfeap-1L,
+ 0x1.6c012750bdabeed76a99800f4edep-1L,
+ 0x1.6dfb23c651a2ef220e2cbe1bc0d4p-1L,
+ 0x1.6ff7df9519483cf87e1b4f3e1e98p-1L,
+ 0x1.71f75e8ec5f73dd2370f2ef0b148p-1L,
+ 0x1.73f9a48a58173bd5c9a4e68ab074p-1L,
+ 0x1.75feb564267c8bf6e9aa33a489a8p-1L,
+ 0x1.780694fde5d3f619ae02808592a4p-1L,
+ 0x1.7a11473eb0186d7d51023f6ccb1ap-1L,
+ 0x1.7c1ed0130c1327c49334459378dep-1L,
+ 0x1.7e2f336cf4e62105d02ba1579756p-1L,
+ 0x1.80427543e1a11b60de67649a3842p-1L,
+ 0x1.82589994cce128acf88afab34928p-1L,
+ 0x1.8471a4623c7acce52f6b97c6444cp-1L,
+ 0x1.868d99b4492ec80e41d90ac2556ap-1L,
+ 0x1.88ac7d98a669966530bcdf2d4cc0p-1L,
+ 0x1.8ace5422aa0db5ba7c55a192c648p-1L,
+ 0x1.8cf3216b5448bef2aa1cd161c57ap-1L,
+ 0x1.8f1ae991577362b982745c72eddap-1L,
+ 0x1.9145b0b91ffc588a61b469f6b6a0p-1L,
+ 0x1.93737b0cdc5e4f4501c3f2540ae8p-1L,
+ 0x1.95a44cbc8520ee9b483695a0e7fep-1L,
+ 0x1.97d829fde4e4f8b9e920f91e8eb6p-1L,
+ 0x1.9a0f170ca07b9ba3109b8c467844p-1L,
+ 0x1.9c49182a3f0901c7c46b071f28dep-1L,
+ 0x1.9e86319e323231824ca78e64c462p-1L,
+ 0x1.a0c667b5de564b29ada8b8cabbacp-1L,
+ 0x1.a309bec4a2d3358c171f770db1f4p-1L,
+ 0x1.a5503b23e255c8b424491caf88ccp-1L,
+ 0x1.a799e1330b3586f2dfb2b158f31ep-1L,
+ 0x1.a9e6b5579fdbf43eb243bdff53a2p-1L,
+ 0x1.ac36bbfd3f379c0db966a3126988p-1L,
+ 0x1.ae89f995ad3ad5e8734d17731c80p-1L,
+ 0x1.b0e07298db66590842acdfc6fb4ep-1L,
+ 0x1.b33a2b84f15faf6bfd0e7bd941b0p-1L,
+ 0x1.b59728de559398e3881111648738p-1L,
+ 0x1.b7f76f2fb5e46eaa7b081ab53ff6p-1L,
+ 0x1.ba5b030a10649840cb3c6af5b74cp-1L,
+ 0x1.bcc1e904bc1d2247ba0f45b3d06cp-1L,
+ 0x1.bf2c25bd71e088408d7025190cd0p-1L,
+ 0x1.c199bdd85529c2220cb12a0916bap-1L,
+ 0x1.c40ab5fffd07a6d14df820f17deap-1L,
+ 0x1.c67f12e57d14b4a2137fd20f2a26p-1L,
+ 0x1.c8f6d9406e7b511acbc48805c3f6p-1L,
+ 0x1.cb720dcef90691503cbd1e949d0ap-1L,
+ 0x1.cdf0b555dc3f9c44f8958fac4f12p-1L,
+ 0x1.d072d4a07897b8d0f22f21a13792p-1L,
+ 0x1.d2f87080d89f18ade123989ea50ep-1L,
+ 0x1.d5818dcfba48725da05aeb66dff8p-1L,
+ 0x1.d80e316c98397bb84f9d048807a0p-1L,
+ 0x1.da9e603db3285708c01a5b6d480cp-1L,
+ 0x1.dd321f301b4604b695de3c0630c0p-1L,
+ 0x1.dfc97337b9b5eb968cac39ed284cp-1L,
+ 0x1.e264614f5a128a12761fa17adc74p-1L,
+ 0x1.e502ee78b3ff6273d130153992d0p-1L,
+ 0x1.e7a51fbc74c834b548b2832378a4p-1L,
+ 0x1.ea4afa2a490d9858f73a18f5dab4p-1L,
+ 0x1.ecf482d8e67f08db0312fb949d50p-1L,
+ 0x1.efa1bee615a27771fd21a92dabb6p-1L,
+ 0x1.f252b376bba974e8696fc3638f24p-1L,
+ 0x1.f50765b6e4540674f84b762861a6p-1L,
+ 0x1.f7bfdad9cbe138913b4bfe72bd78p-1L,
+ 0x1.fa7c1819e90d82e90a7e74b26360p-1L,
+ 0x1.fd3c22b8f71f10975ba4b32bd006p-1L,
+ 0x1.0000000000000000000000000000p+0L,
+ 0x1.0163da9fb33356d84a66ae336e98p+0L,
+ 0x1.02c9a3e778060ee6f7caca4f7a18p+0L,
+ 0x1.04315e86e7f84bd738f9a20da442p+0L,
+ 0x1.059b0d31585743ae7c548eb68c6ap+0L,
+ 0x1.0706b29ddf6ddc6dc403a9d87b1ep+0L,
+ 0x1.0874518759bc808c35f25d942856p+0L,
+ 0x1.09e3ecac6f3834521e060c584d5cp+0L,
+ 0x1.0b5586cf9890f6298b92b7184200p+0L,
+ 0x1.0cc922b7247f7407b705b893dbdep+0L,
+ 0x1.0e3ec32d3d1a2020742e4f8af794p+0L,
+ 0x1.0fb66affed31af232091dd8a169ep+0L,
+ 0x1.11301d0125b50a4ebbf1aed9321cp+0L,
+ 0x1.12abdc06c31cbfb92bad324d6f84p+0L,
+ 0x1.1429aaea92ddfb34101943b2588ep+0L,
+ 0x1.15a98c8a58e512480d573dd562aep+0L,
+ 0x1.172b83c7d517adcdf7c8c50eb162p+0L,
+ 0x1.18af9388c8de9bbbf70b9a3c269cp+0L,
+ 0x1.1a35beb6fcb753cb698f692d2038p+0L,
+ 0x1.1bbe084045cd39ab1e72b442810ep+0L,
+ 0x1.1d4873168b9aa7805b8028990be8p+0L,
+ 0x1.1ed5022fcd91cb8819ff61121fbep+0L,
+ 0x1.2063b88628cd63b8eeb0295093f6p+0L,
+ 0x1.21f49917ddc962552fd29294bc20p+0L,
+ 0x1.2387a6e75623866c1fadb1c159c0p+0L,
+ 0x1.251ce4fb2a63f3582ab7de9e9562p+0L,
+ 0x1.26b4565e27cdd257a673281d3068p+0L,
+ 0x1.284dfe1f5638096cf15cf03c9fa0p+0L,
+ 0x1.29e9df51fdee12c25d15f5a25022p+0L,
+ 0x1.2b87fd0dad98ffddea46538fca24p+0L,
+ 0x1.2d285a6e4030b40091d536d0733ep+0L,
+ 0x1.2ecafa93e2f5611ca0f45d5239a4p+0L,
+ 0x1.306fe0a31b7152de8d5a463063bep+0L,
+ 0x1.32170fc4cd8313539cf1c3009330p+0L,
+ 0x1.33c08b26416ff4c9c8610d96680ep+0L,
+ 0x1.356c55f929ff0c94623476373be4p+0L,
+ 0x1.371a7373aa9caa7145502f45452ap+0L,
+ 0x1.38cae6d05d86585a9cb0d9bed530p+0L,
+ 0x1.3a7db34e59ff6ea1bc9299e0a1fep+0L,
+ 0x1.3c32dc313a8e484001f228b58cf0p+0L,
+ 0x1.3dea64c12342235b41223e13d7eep+0L,
+ 0x1.3fa4504ac801ba0bf701aa417b9cp+0L,
+ 0x1.4160a21f72e29f84325b8f3dbacap+0L,
+ 0x1.431f5d950a896dc704439410b628p+0L,
+ 0x1.44e086061892d03136f409df0724p+0L,
+ 0x1.46a41ed1d005772512f459229f0ap+0L,
+ 0x1.486a2b5c13cd013c1a3b69062f26p+0L,
+ 0x1.4a32af0d7d3de672d8bcf46f99b4p+0L,
+ 0x1.4bfdad5362a271d4397afec42e36p+0L,
+ 0x1.4dcb299fddd0d63b36ef1a9e19dep+0L,
+ 0x1.4f9b2769d2ca6ad33d8b69aa0b8cp+0L,
+ 0x1.516daa2cf6641c112f52c84d6066p+0L,
+ 0x1.5342b569d4f81df0a83c49d86bf4p+0L,
+ 0x1.551a4ca5d920ec52ec620243540cp+0L,
+ 0x1.56f4736b527da66ecb004764e61ep+0L,
+ 0x1.58d12d497c7fd252bc2b7343d554p+0L,
+ 0x1.5ab07dd48542958c93015191e9a8p+0L,
+ 0x1.5c9268a5946b701c4b1b81697ed4p+0L,
+ 0x1.5e76f15ad21486e9be4c20399d12p+0L,
+ 0x1.605e1b976dc08b076f592a487066p+0L,
+ 0x1.6247eb03a5584b1f0fa06fd2d9eap+0L,
+ 0x1.6434634ccc31fc76f8714c4ee122p+0L,
+ 0x1.66238825522249127d9e29b92ea2p+0L,
+ 0x1.68155d44ca973081c57227b9f69ep+0L,
+};
+
+static const float eps[TBLSIZE] = {
+ -0x1.5c50p-101,
+ -0x1.5d00p-106,
+ 0x1.8e90p-102,
+ -0x1.5340p-103,
+ 0x1.1bd0p-102,
+ -0x1.4600p-105,
+ -0x1.7a40p-104,
+ 0x1.d590p-102,
+ -0x1.d590p-101,
+ 0x1.b100p-103,
+ -0x1.0d80p-105,
+ 0x1.6b00p-103,
+ -0x1.9f00p-105,
+ 0x1.c400p-103,
+ 0x1.e120p-103,
+ -0x1.c100p-104,
+ -0x1.9d20p-103,
+ 0x1.a800p-108,
+ 0x1.4c00p-106,
+ -0x1.9500p-106,
+ 0x1.6900p-105,
+ -0x1.29d0p-100,
+ 0x1.4c60p-103,
+ 0x1.13a0p-102,
+ -0x1.5b60p-103,
+ -0x1.1c40p-103,
+ 0x1.db80p-102,
+ 0x1.91a0p-102,
+ 0x1.dc00p-105,
+ 0x1.44c0p-104,
+ 0x1.9710p-102,
+ 0x1.8760p-103,
+ -0x1.a720p-103,
+ 0x1.ed20p-103,
+ -0x1.49c0p-102,
+ -0x1.e000p-111,
+ 0x1.86a0p-103,
+ 0x1.2b40p-103,
+ -0x1.b400p-108,
+ 0x1.1280p-99,
+ -0x1.02d8p-102,
+ -0x1.e3d0p-103,
+ -0x1.b080p-105,
+ -0x1.f100p-107,
+ -0x1.16c0p-105,
+ -0x1.1190p-103,
+ -0x1.a7d2p-100,
+ 0x1.3450p-103,
+ -0x1.67c0p-105,
+ 0x1.4b80p-104,
+ -0x1.c4e0p-103,
+ 0x1.6000p-108,
+ -0x1.3f60p-105,
+ 0x1.93f0p-104,
+ 0x1.5fe0p-105,
+ 0x1.6f80p-107,
+ -0x1.7600p-106,
+ 0x1.21e0p-106,
+ -0x1.3a40p-106,
+ -0x1.40c0p-104,
+ -0x1.9860p-105,
+ -0x1.5d40p-108,
+ -0x1.1d70p-106,
+ 0x1.2760p-105,
+ 0x0.0000p+0,
+ 0x1.21e2p-104,
+ -0x1.9520p-108,
+ -0x1.5720p-106,
+ -0x1.4810p-106,
+ -0x1.be00p-109,
+ 0x1.0080p-105,
+ -0x1.5780p-108,
+ -0x1.d460p-105,
+ -0x1.6140p-105,
+ 0x1.4630p-104,
+ 0x1.ad50p-103,
+ 0x1.82e0p-105,
+ 0x1.1d3cp-101,
+ 0x1.6100p-107,
+ 0x1.ec30p-104,
+ 0x1.f200p-108,
+ 0x1.0b40p-103,
+ 0x1.3660p-102,
+ 0x1.d9d0p-103,
+ -0x1.02d0p-102,
+ 0x1.b070p-103,
+ 0x1.b9c0p-104,
+ -0x1.01c0p-103,
+ -0x1.dfe0p-103,
+ 0x1.1b60p-104,
+ -0x1.ae94p-101,
+ -0x1.3340p-104,
+ 0x1.b3d8p-102,
+ -0x1.6e40p-105,
+ -0x1.3670p-103,
+ 0x1.c140p-104,
+ 0x1.1840p-101,
+ 0x1.1ab0p-102,
+ -0x1.a400p-104,
+ 0x1.1f00p-104,
+ -0x1.7180p-103,
+ 0x1.4ce0p-102,
+ 0x1.9200p-107,
+ -0x1.54c0p-103,
+ 0x1.1b80p-105,
+ -0x1.1828p-101,
+ 0x1.5720p-102,
+ -0x1.a060p-100,
+ 0x1.9160p-102,
+ 0x1.a280p-104,
+ 0x1.3400p-107,
+ 0x1.2b20p-102,
+ 0x1.7800p-108,
+ 0x1.cfd0p-101,
+ 0x1.2ef0p-102,
+ -0x1.2760p-99,
+ 0x1.b380p-104,
+ 0x1.0048p-101,
+ -0x1.60b0p-102,
+ 0x1.a1ccp-100,
+ -0x1.a640p-104,
+ -0x1.08a0p-101,
+ 0x1.7e60p-102,
+ 0x1.22c0p-103,
+ -0x1.7200p-106,
+ 0x1.f0f0p-102,
+ 0x1.eb4ep-99,
+ 0x1.c6e0p-103,
+};
+
+/*
+ * exp2l(x): compute the base 2 exponential of x
+ *
+ * Accuracy: Peak error < 0.502 ulp.
+ *
+ * Method: (accurate tables)
+ *
+ * Reduce x:
+ * x = 2**k + y, for integer k and |y| <= 1/2.
+ * Thus we have exp2(x) = 2**k * exp2(y).
+ *
+ * Reduce y:
+ * y = i/TBLSIZE + z - eps[i] for integer i near y * TBLSIZE.
+ * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z - eps[i]),
+ * with |z - eps[i]| <= 2**-8 + 2**-98 for the table used.
+ *
+ * We compute exp2(i/TBLSIZE) via table lookup and exp2(z - eps[i]) via
+ * a degree-10 minimax polynomial with maximum error under 2**-120.
+ * The values in exp2t[] and eps[] are chosen such that
+ * exp2t[i] = exp2(i/TBLSIZE + eps[i]), and eps[i] is a small offset such
+ * that exp2t[i] is accurate to 2**-122.
+ *
+ * Note that the range of i is +-TBLSIZE/2, so we actually index the tables
+ * by i0 = i + TBLSIZE/2.
+ *
+ * This method is due to Gal, with many details due to Gal and Bachelis:
+ *
+ * Gal, S. and Bachelis, B. An Accurate Elementary Mathematical Library
+ * for the IEEE Floating Point Standard. TOMS 17(1), 26-46 (1991).
+ */
+long double
+exp2l(long double x)
+{
+ union IEEEl2bits u, v;
+ long double r, t, twopk, twopkp10000, z;
+ uint32_t hx, ix, i0;
+ int k;
+
+ u.e = x;
+
+ /* Filter out exceptional cases. */
+ hx = u.xbits.expsign;
+ ix = hx & EXPMASK;
+ if (ix >= BIAS + 14) { /* |x| >= 16384 */
+ if (ix == BIAS + LDBL_MAX_EXP) {
+ if (u.xbits.manh != 0
+ || u.xbits.manl != 0
+ || (hx & 0x8000) == 0)
+ return (x + x); /* x is NaN or +Inf */
+ else
+ return (0.0); /* x is -Inf */
+ }
+ if (x >= 16384)
+ return (huge * huge); /* overflow */
+ if (x <= -16495)
+ return (twom10000 * twom10000); /* underflow */
+ } else if (ix <= BIAS - 115) { /* |x| < 0x1p-115 */
+ return (1.0 + x);
+ }
+
+ /*
+ * Reduce x, computing z, i0, and k. The low bits of x + redux
+ * contain the 16-bit integer part of the exponent (k) followed by
+ * TBLBITS fractional bits (i0). We use bit tricks to extract these
+ * as integers, then set z to the remainder.
+ *
+ * Example: Suppose x is 0xabc.123456p0 and TBLBITS is 8.
+ * Then the low-order word of x + redux is 0x000abc12,
+ * We split this into k = 0xabc and i0 = 0x12 (adjusted to
+ * index into the table), then we compute z = 0x0.003456p0.
+ *
+ * XXX If the exponent is negative, the computation of k depends on
+ * '>>' doing sign extension.
+ */
+ u.e = x + redux;
+ i0 = (u.bits.manl & 0xffffffff) + TBLSIZE / 2;
+ k = (int)i0 >> TBLBITS;
+ i0 = i0 & (TBLSIZE - 1);
+ u.e -= redux;
+ z = x - u.e;
+ v.xbits.manh = 0;
+ v.xbits.manl = 0;
+ if (k >= LDBL_MIN_EXP) {
+ v.xbits.expsign = LDBL_MAX_EXP - 1 + k;
+ twopk = v.e;
+ } else {
+ v.xbits.expsign = LDBL_MAX_EXP - 1 + k + 10000;
+ twopkp10000 = v.e;
+ }
+
+ /* Compute r = exp2(y) = exp2t[i0] * p(z - eps[i]). */
+ t = tbl[i0]; /* exp2t[i0] */
+ z -= eps[i0]; /* eps[i0] */
+ r = t + t * z * (P1 + z * (P2 + z * (P3 + z * (P4 + z * (P5 + z * (P6
+ + z * (P7 + z * (P8 + z * (P9 + z * P10)))))))));
+
+ /* Scale by 2**k. */
+ if(k >= LDBL_MIN_EXP) {
+ if (k == LDBL_MAX_EXP)
+ return (r * 2.0 * 0x1p16383L);
+ return (r * twopk);
+ } else {
+ return (r * twopkp10000 * twom10000);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_expl.c b/libm/upstream-freebsd/lib/msun/ld128/s_expl.c
new file mode 100644
index 0000000..a6a9676
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_expl.c
@@ -0,0 +1,326 @@
+/*-
+ * Copyright (c) 2009-2013 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ld128 version of s_expl.c. See ../ld80/s_expl.c for most comments.
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+#include "k_expl.h"
+
+/* XXX Prevent compilers from erroneously constant folding these: */
+static const volatile long double
+huge = 0x1p10000L,
+tiny = 0x1p-10000L;
+
+static const long double
+twom10000 = 0x1p-10000L;
+
+static const long double
+/* log(2**16384 - 0.5) rounded towards zero: */
+/* log(2**16384 - 0.5 + 1) rounded towards zero for expm1l() is the same: */
+o_threshold = 11356.523406294143949491931077970763428L,
+/* log(2**(-16381-64-1)) rounded towards zero: */
+u_threshold = -11433.462743336297878837243843452621503L;
+
+long double
+expl(long double x)
+{
+ union IEEEl2bits u;
+ long double hi, lo, t, twopk;
+ int k;
+ uint16_t hx, ix;
+
+ DOPRINT_START(&x);
+
+ /* Filter out exceptional cases. */
+ u.e = x;
+ hx = u.xbits.expsign;
+ ix = hx & 0x7fff;
+ if (ix >= BIAS + 13) { /* |x| >= 8192 or x is NaN */
+ if (ix == BIAS + LDBL_MAX_EXP) {
+ if (hx & 0x8000) /* x is -Inf or -NaN */
+ RETURNP(-1 / x);
+ RETURNP(x + x); /* x is +Inf or +NaN */
+ }
+ if (x > o_threshold)
+ RETURNP(huge * huge);
+ if (x < u_threshold)
+ RETURNP(tiny * tiny);
+ } else if (ix < BIAS - 114) { /* |x| < 0x1p-114 */
+ RETURN2P(1, x); /* 1 with inexact iff x != 0 */
+ }
+
+ ENTERI();
+
+ twopk = 1;
+ __k_expl(x, &hi, &lo, &k);
+ t = SUM2P(hi, lo);
+
+ /* Scale by 2**k. */
+ /* XXX sparc64 multiplication is so slow that scalbnl() is faster. */
+ if (k >= LDBL_MIN_EXP) {
+ if (k == LDBL_MAX_EXP)
+ RETURNI(t * 2 * 0x1p16383L);
+ SET_LDBL_EXPSIGN(twopk, BIAS + k);
+ RETURNI(t * twopk);
+ } else {
+ SET_LDBL_EXPSIGN(twopk, BIAS + k + 10000);
+ RETURNI(t * twopk * twom10000);
+ }
+}
+
+/*
+ * Our T1 and T2 are chosen to be approximately the points where method
+ * A and method B have the same accuracy. Tang's T1 and T2 are the
+ * points where method A's accuracy changes by a full bit. For Tang,
+ * this drop in accuracy makes method A immediately less accurate than
+ * method B, but our larger INTERVALS makes method A 2 bits more
+ * accurate so it remains the most accurate method significantly
+ * closer to the origin despite losing the full bit in our extended
+ * range for it.
+ *
+ * Split the interval [T1, T2] into two intervals [T1, T3] and [T3, T2].
+ * Setting T3 to 0 would require the |x| < 0x1p-113 condition to appear
+ * in both subintervals, so set T3 = 2**-5, which places the condition
+ * into the [T1, T3] interval.
+ *
+ * XXX we now do this more to (partially) balance the number of terms
+ * in the C and D polys than to avoid checking the condition in both
+ * intervals.
+ *
+ * XXX these micro-optimizations are excessive.
+ */
+static const double
+T1 = -0.1659, /* ~-30.625/128 * log(2) */
+T2 = 0.1659, /* ~30.625/128 * log(2) */
+T3 = 0.03125;
+
+/*
+ * Domain [-0.1659, 0.03125], range ~[2.9134e-44, 1.8404e-37]:
+ * |(exp(x)-1-x-x**2/2)/x - p(x)| < 2**-122.03
+ *
+ * XXX none of the long double C or D coeffs except C10 is correctly printed.
+ * If you re-print their values in %.35Le format, the result is always
+ * different. For example, the last 2 digits in C3 should be 59, not 67.
+ * 67 is apparently from rounding an extra-precision value to 36 decimal
+ * places.
+ */
+static const long double
+C3 = 1.66666666666666666666666666666666667e-1L,
+C4 = 4.16666666666666666666666666666666645e-2L,
+C5 = 8.33333333333333333333333333333371638e-3L,
+C6 = 1.38888888888888888888888888891188658e-3L,
+C7 = 1.98412698412698412698412697235950394e-4L,
+C8 = 2.48015873015873015873015112487849040e-5L,
+C9 = 2.75573192239858906525606685484412005e-6L,
+C10 = 2.75573192239858906612966093057020362e-7L,
+C11 = 2.50521083854417203619031960151253944e-8L,
+C12 = 2.08767569878679576457272282566520649e-9L,
+C13 = 1.60590438367252471783548748824255707e-10L;
+
+/*
+ * XXX this has 1 more coeff than needed.
+ * XXX can start the double coeffs but not the double mults at C10.
+ * With my coeffs (C10-C17 double; s = best_s):
+ * Domain [-0.1659, 0.03125], range ~[-1.1976e-37, 1.1976e-37]:
+ * |(exp(x)-1-x-x**2/2)/x - p(x)| ~< 2**-122.65
+ */
+static const double
+C14 = 1.1470745580491932e-11, /* 0x1.93974a81dae30p-37 */
+C15 = 7.6471620181090468e-13, /* 0x1.ae7f3820adab1p-41 */
+C16 = 4.7793721460260450e-14, /* 0x1.ae7cd18a18eacp-45 */
+C17 = 2.8074757356658877e-15, /* 0x1.949992a1937d9p-49 */
+C18 = 1.4760610323699476e-16; /* 0x1.545b43aabfbcdp-53 */
+
+/*
+ * Domain [0.03125, 0.1659], range ~[-2.7676e-37, -1.0367e-38]:
+ * |(exp(x)-1-x-x**2/2)/x - p(x)| < 2**-121.44
+ */
+static const long double
+D3 = 1.66666666666666666666666666666682245e-1L,
+D4 = 4.16666666666666666666666666634228324e-2L,
+D5 = 8.33333333333333333333333364022244481e-3L,
+D6 = 1.38888888888888888888887138722762072e-3L,
+D7 = 1.98412698412698412699085805424661471e-4L,
+D8 = 2.48015873015873015687993712101479612e-5L,
+D9 = 2.75573192239858944101036288338208042e-6L,
+D10 = 2.75573192239853161148064676533754048e-7L,
+D11 = 2.50521083855084570046480450935267433e-8L,
+D12 = 2.08767569819738524488686318024854942e-9L,
+D13 = 1.60590442297008495301927448122499313e-10L;
+
+/*
+ * XXX this has 1 more coeff than needed.
+ * XXX can start the double coeffs but not the double mults at D11.
+ * With my coeffs (D11-D16 double):
+ * Domain [0.03125, 0.1659], range ~[-1.1980e-37, 1.1980e-37]:
+ * |(exp(x)-1-x-x**2/2)/x - p(x)| ~< 2**-122.65
+ */
+static const double
+D14 = 1.1470726176204336e-11, /* 0x1.93971dc395d9ep-37 */
+D15 = 7.6478532249581686e-13, /* 0x1.ae892e3D16fcep-41 */
+D16 = 4.7628892832607741e-14, /* 0x1.ad00Dfe41feccp-45 */
+D17 = 3.0524857220358650e-15; /* 0x1.D7e8d886Df921p-49 */
+
+long double
+expm1l(long double x)
+{
+ union IEEEl2bits u, v;
+ long double hx2_hi, hx2_lo, q, r, r1, t, twomk, twopk, x_hi;
+ long double x_lo, x2;
+ double dr, dx, fn, r2;
+ int k, n, n2;
+ uint16_t hx, ix;
+
+ DOPRINT_START(&x);
+
+ /* Filter out exceptional cases. */
+ u.e = x;
+ hx = u.xbits.expsign;
+ ix = hx & 0x7fff;
+ if (ix >= BIAS + 7) { /* |x| >= 128 or x is NaN */
+ if (ix == BIAS + LDBL_MAX_EXP) {
+ if (hx & 0x8000) /* x is -Inf or -NaN */
+ RETURNP(-1 / x - 1);
+ RETURNP(x + x); /* x is +Inf or +NaN */
+ }
+ if (x > o_threshold)
+ RETURNP(huge * huge);
+ /*
+ * expm1l() never underflows, but it must avoid
+ * unrepresentable large negative exponents. We used a
+ * much smaller threshold for large |x| above than in
+ * expl() so as to handle not so large negative exponents
+ * in the same way as large ones here.
+ */
+ if (hx & 0x8000) /* x <= -128 */
+ RETURN2P(tiny, -1); /* good for x < -114ln2 - eps */
+ }
+
+ ENTERI();
+
+ if (T1 < x && x < T2) {
+ x2 = x * x;
+ dx = x;
+
+ if (x < T3) {
+ if (ix < BIAS - 113) { /* |x| < 0x1p-113 */
+ /* x (rounded) with inexact if x != 0: */
+ RETURNPI(x == 0 ? x :
+ (0x1p200 * x + fabsl(x)) * 0x1p-200);
+ }
+ q = x * x2 * C3 + x2 * x2 * (C4 + x * (C5 + x * (C6 +
+ x * (C7 + x * (C8 + x * (C9 + x * (C10 +
+ x * (C11 + x * (C12 + x * (C13 +
+ dx * (C14 + dx * (C15 + dx * (C16 +
+ dx * (C17 + dx * C18))))))))))))));
+ } else {
+ q = x * x2 * D3 + x2 * x2 * (D4 + x * (D5 + x * (D6 +
+ x * (D7 + x * (D8 + x * (D9 + x * (D10 +
+ x * (D11 + x * (D12 + x * (D13 +
+ dx * (D14 + dx * (D15 + dx * (D16 +
+ dx * D17)))))))))))));
+ }
+
+ x_hi = (float)x;
+ x_lo = x - x_hi;
+ hx2_hi = x_hi * x_hi / 2;
+ hx2_lo = x_lo * (x + x_hi) / 2;
+ if (ix >= BIAS - 7)
+ RETURN2PI(hx2_hi + x_hi, hx2_lo + x_lo + q);
+ else
+ RETURN2PI(x, hx2_lo + q + hx2_hi);
+ }
+
+ /* Reduce x to (k*ln2 + endpoint[n2] + r1 + r2). */
+ /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ fn = (double)x * INV_L + 0x1.8p52 - 0x1.8p52;
+#if defined(HAVE_EFFICIENT_IRINT)
+ n = irint(fn);
+#else
+ n = (int)fn;
+#endif
+ n2 = (unsigned)n % INTERVALS;
+ k = n >> LOG2_INTERVALS;
+ r1 = x - fn * L1;
+ r2 = fn * -L2;
+ r = r1 + r2;
+
+ /* Prepare scale factor. */
+ v.e = 1;
+ v.xbits.expsign = BIAS + k;
+ twopk = v.e;
+
+ /*
+ * Evaluate lower terms of
+ * expl(endpoint[n2] + r1 + r2) = tbl[n2] * expl(r1 + r2).
+ */
+ dr = r;
+ q = r2 + r * r * (A2 + r * (A3 + r * (A4 + r * (A5 + r * (A6 +
+ dr * (A7 + dr * (A8 + dr * (A9 + dr * A10))))))));
+
+ t = tbl[n2].lo + tbl[n2].hi;
+
+ if (k == 0) {
+ t = SUM2P(tbl[n2].hi - 1, tbl[n2].lo * (r1 + 1) + t * q +
+ tbl[n2].hi * r1);
+ RETURNI(t);
+ }
+ if (k == -1) {
+ t = SUM2P(tbl[n2].hi - 2, tbl[n2].lo * (r1 + 1) + t * q +
+ tbl[n2].hi * r1);
+ RETURNI(t / 2);
+ }
+ if (k < -7) {
+ t = SUM2P(tbl[n2].hi, tbl[n2].lo + t * (q + r1));
+ RETURNI(t * twopk - 1);
+ }
+ if (k > 2 * LDBL_MANT_DIG - 1) {
+ t = SUM2P(tbl[n2].hi, tbl[n2].lo + t * (q + r1));
+ if (k == LDBL_MAX_EXP)
+ RETURNI(t * 2 * 0x1p16383L - 1);
+ RETURNI(t * twopk - 1);
+ }
+
+ v.xbits.expsign = BIAS - k;
+ twomk = v.e;
+
+ if (k > LDBL_MANT_DIG - 1)
+ t = SUM2P(tbl[n2].hi, tbl[n2].lo - twomk + t * (q + r1));
+ else
+ t = SUM2P(tbl[n2].hi - twomk, tbl[n2].lo + t * (q + r1));
+ RETURNI(t * twopk);
+}
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_logl.c b/libm/upstream-freebsd/lib/msun/ld128/s_logl.c
new file mode 100644
index 0000000..391d623
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_logl.c
@@ -0,0 +1,737 @@
+/*-
+ * Copyright (c) 2007-2013 Bruce D. Evans
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/**
+ * Implementation of the natural logarithm of x for 128-bit format.
+ *
+ * First decompose x into its base 2 representation:
+ *
+ * log(x) = log(X * 2**k), where X is in [1, 2)
+ * = log(X) + k * log(2).
+ *
+ * Let X = X_i + e, where X_i is the center of one of the intervals
+ * [-1.0/256, 1.0/256), [1.0/256, 3.0/256), .... [2.0-1.0/256, 2.0+1.0/256)
+ * and X is in this interval. Then
+ *
+ * log(X) = log(X_i + e)
+ * = log(X_i * (1 + e / X_i))
+ * = log(X_i) + log(1 + e / X_i).
+ *
+ * The values log(X_i) are tabulated below. Let d = e / X_i and use
+ *
+ * log(1 + d) = p(d)
+ *
+ * where p(d) = d - 0.5*d*d + ... is a special minimax polynomial of
+ * suitably high degree.
+ *
+ * To get sufficiently small roundoff errors, k * log(2), log(X_i), and
+ * sometimes (if |k| is not large) the first term in p(d) must be evaluated
+ * and added up in extra precision. Extra precision is not needed for the
+ * rest of p(d). In the worst case when k = 0 and log(X_i) is 0, the final
+ * error is controlled mainly by the error in the second term in p(d). The
+ * error in this term itself is at most 0.5 ulps from the d*d operation in
+ * it. The error in this term relative to the first term is thus at most
+ * 0.5 * |-0.5| * |d| < 1.0/1024 ulps. We aim for an accumulated error of
+ * at most twice this at the point of the final rounding step. Thus the
+ * final error should be at most 0.5 + 1.0/512 = 0.5020 ulps. Exhaustive
+ * testing of a float variant of this function showed a maximum final error
+ * of 0.5008 ulps. Non-exhaustive testing of a double variant of this
+ * function showed a maximum final error of 0.5078 ulps (near 1+1.0/256).
+ *
+ * We made the maximum of |d| (and thus the total relative error and the
+ * degree of p(d)) small by using a large number of intervals. Using
+ * centers of intervals instead of endpoints reduces this maximum by a
+ * factor of 2 for a given number of intervals. p(d) is special only
+ * in beginning with the Taylor coefficients 0 + 1*d, which tends to happen
+ * naturally. The most accurate minimax polynomial of a given degree might
+ * be different, but then we wouldn't want it since we would have to do
+ * extra work to avoid roundoff error (especially for P0*d instead of d).
+ */
+
+#ifdef DEBUG
+#include <assert.h>
+#include <fenv.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#ifndef NO_STRUCT_RETURN
+#define STRUCT_RETURN
+#endif
+#include "math_private.h"
+
+#if !defined(NO_UTAB) && !defined(NO_UTABL)
+#define USE_UTAB
+#endif
+
+/*
+ * Domain [-0.005280, 0.004838], range ~[-1.1577e-37, 1.1582e-37]:
+ * |log(1 + d)/d - p(d)| < 2**-122.7
+ */
+static const long double
+P2 = -0.5L,
+P3 = 3.33333333333333333333333333333233795e-1L, /* 0x15555555555555555555555554d42.0p-114L */
+P4 = -2.49999999999999999999999999941139296e-1L, /* -0x1ffffffffffffffffffffffdab14e.0p-115L */
+P5 = 2.00000000000000000000000085468039943e-1L, /* 0x19999999999999999999a6d3567f4.0p-115L */
+P6 = -1.66666666666666666666696142372698408e-1L, /* -0x15555555555555555567267a58e13.0p-115L */
+P7 = 1.42857142857142857119522943477166120e-1L, /* 0x1249249249249248ed79a0ae434de.0p-115L */
+P8 = -1.24999999999999994863289015033581301e-1L; /* -0x1fffffffffffffa13e91765e46140.0p-116L */
+/* Double precision gives ~ 53 + log2(P9 * max(|d|)**8) ~= 120 bits. */
+static const double
+P9 = 1.1111111111111401e-1, /* 0x1c71c71c71c7ed.0p-56 */
+P10 = -1.0000000000040135e-1, /* -0x199999999a0a92.0p-56 */
+P11 = 9.0909090728136258e-2, /* 0x1745d173962111.0p-56 */
+P12 = -8.3333318851855284e-2, /* -0x1555551722c7a3.0p-56 */
+P13 = 7.6928634666404178e-2, /* 0x13b1985204a4ae.0p-56 */
+P14 = -7.1626810078462499e-2; /* -0x12562276cdc5d0.0p-56 */
+
+static volatile const double zero = 0;
+
+#define INTERVALS 128
+#define LOG2_INTERVALS 7
+#define TSIZE (INTERVALS + 1)
+#define G(i) (T[(i)].G)
+#define F_hi(i) (T[(i)].F_hi)
+#define F_lo(i) (T[(i)].F_lo)
+#define ln2_hi F_hi(TSIZE - 1)
+#define ln2_lo F_lo(TSIZE - 1)
+#define E(i) (U[(i)].E)
+#define H(i) (U[(i)].H)
+
+static const struct {
+ float G; /* 1/(1 + i/128) rounded to 8/9 bits */
+ float F_hi; /* log(1 / G_i) rounded (see below) */
+ /* The compiler will insert 8 bytes of padding here. */
+ long double F_lo; /* next 113 bits for log(1 / G_i) */
+} T[TSIZE] = {
+ /*
+ * ln2_hi and each F_hi(i) are rounded to a number of bits that
+ * makes F_hi(i) + dk*ln2_hi exact for all i and all dk.
+ *
+ * The last entry (for X just below 2) is used to define ln2_hi
+ * and ln2_lo, to ensure that F_hi(i) and F_lo(i) cancel exactly
+ * with dk*ln2_hi and dk*ln2_lo, respectively, when dk = -1.
+ * This is needed for accuracy when x is just below 1. (To avoid
+ * special cases, such x are "reduced" strangely to X just below
+ * 2 and dk = -1, and then the exact cancellation is needed
+ * because any the error from any non-exactness would be too
+ * large).
+ *
+ * The relevant range of dk is [-16445, 16383]. The maximum number
+ * of bits in F_hi(i) that works is very dependent on i but has
+ * a minimum of 93. We only need about 12 bits in F_hi(i) for
+ * it to provide enough extra precision.
+ *
+ * We round F_hi(i) to 24 bits so that it can have type float,
+ * mainly to minimize the size of the table. Using all 24 bits
+ * in a float for it automatically satisfies the above constraints.
+ */
+ 0x800000.0p-23, 0, 0,
+ 0xfe0000.0p-24, 0x8080ac.0p-30, -0x14ee431dae6674afa0c4bfe16e8fd.0p-144L,
+ 0xfc0000.0p-24, 0x8102b3.0p-29, -0x1db29ee2d83717be918e1119642ab.0p-144L,
+ 0xfa0000.0p-24, 0xc24929.0p-29, 0x1191957d173697cf302cc9476f561.0p-143L,
+ 0xf80000.0p-24, 0x820aec.0p-28, 0x13ce8888e02e78eba9b1113bc1c18.0p-142L,
+ 0xf60000.0p-24, 0xa33577.0p-28, -0x17a4382ce6eb7bfa509bec8da5f22.0p-142L,
+ 0xf48000.0p-24, 0xbc42cb.0p-28, -0x172a21161a107674986dcdca6709c.0p-143L,
+ 0xf30000.0p-24, 0xd57797.0p-28, -0x1e09de07cb958897a3ea46e84abb3.0p-142L,
+ 0xf10000.0p-24, 0xf7518e.0p-28, 0x1ae1eec1b036c484993c549c4bf40.0p-151L,
+ 0xef0000.0p-24, 0x8cb9df.0p-27, -0x1d7355325d560d9e9ab3d6ebab580.0p-141L,
+ 0xed8000.0p-24, 0x999ec0.0p-27, -0x1f9f02d256d5037108f4ec21e48cd.0p-142L,
+ 0xec0000.0p-24, 0xa6988b.0p-27, -0x16fc0a9d12c17a70f7a684c596b12.0p-143L,
+ 0xea0000.0p-24, 0xb80698.0p-27, 0x15d581c1e8da99ded322fb08b8462.0p-141L,
+ 0xe80000.0p-24, 0xc99af3.0p-27, -0x1535b3ba8f150ae09996d7bb4653e.0p-143L,
+ 0xe70000.0p-24, 0xd273b2.0p-27, 0x163786f5251aefe0ded34c8318f52.0p-145L,
+ 0xe50000.0p-24, 0xe442c0.0p-27, 0x1bc4b2368e32d56699c1799a244d4.0p-144L,
+ 0xe38000.0p-24, 0xf1b83f.0p-27, 0x1c6090f684e6766abceccab1d7174.0p-141L,
+ 0xe20000.0p-24, 0xff448a.0p-27, -0x1890aa69ac9f4215f93936b709efb.0p-142L,
+ 0xe08000.0p-24, 0x8673f6.0p-26, 0x1b9985194b6affd511b534b72a28e.0p-140L,
+ 0xdf0000.0p-24, 0x8d515c.0p-26, -0x1dc08d61c6ef1d9b2ef7e68680598.0p-143L,
+ 0xdd8000.0p-24, 0x943a9e.0p-26, -0x1f72a2dac729b3f46662238a9425a.0p-142L,
+ 0xdc0000.0p-24, 0x9b2fe6.0p-26, -0x1fd4dfd3a0afb9691aed4d5e3df94.0p-140L,
+ 0xda8000.0p-24, 0xa2315d.0p-26, -0x11b26121629c46c186384993e1c93.0p-142L,
+ 0xd90000.0p-24, 0xa93f2f.0p-26, 0x1286d633e8e5697dc6a402a56fce1.0p-141L,
+ 0xd78000.0p-24, 0xb05988.0p-26, 0x16128eba9367707ebfa540e45350c.0p-144L,
+ 0xd60000.0p-24, 0xb78094.0p-26, 0x16ead577390d31ef0f4c9d43f79b2.0p-140L,
+ 0xd50000.0p-24, 0xbc4c6c.0p-26, 0x151131ccf7c7b75e7d900b521c48d.0p-141L,
+ 0xd38000.0p-24, 0xc3890a.0p-26, -0x115e2cd714bd06508aeb00d2ae3e9.0p-140L,
+ 0xd20000.0p-24, 0xcad2d7.0p-26, -0x1847f406ebd3af80485c2f409633c.0p-142L,
+ 0xd10000.0p-24, 0xcfb620.0p-26, 0x1c2259904d686581799fbce0b5f19.0p-141L,
+ 0xcf8000.0p-24, 0xd71653.0p-26, 0x1ece57a8d5ae54f550444ecf8b995.0p-140L,
+ 0xce0000.0p-24, 0xde843a.0p-26, -0x1f109d4bc4595412b5d2517aaac13.0p-141L,
+ 0xcd0000.0p-24, 0xe37fde.0p-26, 0x1bc03dc271a74d3a85b5b43c0e727.0p-141L,
+ 0xcb8000.0p-24, 0xeb050c.0p-26, -0x1bf2badc0df841a71b79dd5645b46.0p-145L,
+ 0xca0000.0p-24, 0xf29878.0p-26, -0x18efededd89fbe0bcfbe6d6db9f66.0p-147L,
+ 0xc90000.0p-24, 0xf7ad6f.0p-26, 0x1373ff977baa6911c7bafcb4d84fb.0p-141L,
+ 0xc80000.0p-24, 0xfcc8e3.0p-26, 0x196766f2fb328337cc050c6d83b22.0p-140L,
+ 0xc68000.0p-24, 0x823f30.0p-25, 0x19bd076f7c434e5fcf1a212e2a91e.0p-139L,
+ 0xc58000.0p-24, 0x84d52c.0p-25, -0x1a327257af0f465e5ecab5f2a6f81.0p-139L,
+ 0xc40000.0p-24, 0x88bc74.0p-25, 0x113f23def19c5a0fe396f40f1dda9.0p-141L,
+ 0xc30000.0p-24, 0x8b5ae6.0p-25, 0x1759f6e6b37de945a049a962e66c6.0p-139L,
+ 0xc20000.0p-24, 0x8dfccb.0p-25, 0x1ad35ca6ed5147bdb6ddcaf59c425.0p-141L,
+ 0xc10000.0p-24, 0x90a22b.0p-25, 0x1a1d71a87deba46bae9827221dc98.0p-139L,
+ 0xbf8000.0p-24, 0x94a0d8.0p-25, -0x139e5210c2b730e28aba001a9b5e0.0p-140L,
+ 0xbe8000.0p-24, 0x974f16.0p-25, -0x18f6ebcff3ed72e23e13431adc4a5.0p-141L,
+ 0xbd8000.0p-24, 0x9a00f1.0p-25, -0x1aa268be39aab7148e8d80caa10b7.0p-139L,
+ 0xbc8000.0p-24, 0x9cb672.0p-25, -0x14c8815839c5663663d15faed7771.0p-139L,
+ 0xbb0000.0p-24, 0xa0cda1.0p-25, 0x1eaf46390dbb2438273918db7df5c.0p-141L,
+ 0xba0000.0p-24, 0xa38c6e.0p-25, 0x138e20d831f698298adddd7f32686.0p-141L,
+ 0xb90000.0p-24, 0xa64f05.0p-25, -0x1e8d3c41123615b147a5d47bc208f.0p-142L,
+ 0xb80000.0p-24, 0xa91570.0p-25, 0x1ce28f5f3840b263acb4351104631.0p-140L,
+ 0xb70000.0p-24, 0xabdfbb.0p-25, -0x186e5c0a42423457e22d8c650b355.0p-139L,
+ 0xb60000.0p-24, 0xaeadef.0p-25, -0x14d41a0b2a08a465dc513b13f567d.0p-143L,
+ 0xb50000.0p-24, 0xb18018.0p-25, 0x16755892770633947ffe651e7352f.0p-139L,
+ 0xb40000.0p-24, 0xb45642.0p-25, -0x16395ebe59b15228bfe8798d10ff0.0p-142L,
+ 0xb30000.0p-24, 0xb73077.0p-25, 0x1abc65c8595f088b61a335f5b688c.0p-140L,
+ 0xb20000.0p-24, 0xba0ec4.0p-25, -0x1273089d3dad88e7d353e9967d548.0p-139L,
+ 0xb10000.0p-24, 0xbcf133.0p-25, 0x10f9f67b1f4bbf45de06ecebfaf6d.0p-139L,
+ 0xb00000.0p-24, 0xbfd7d2.0p-25, -0x109fab904864092b34edda19a831e.0p-140L,
+ 0xaf0000.0p-24, 0xc2c2ac.0p-25, -0x1124680aa43333221d8a9b475a6ba.0p-139L,
+ 0xae8000.0p-24, 0xc439b3.0p-25, -0x1f360cc4710fbfe24b633f4e8d84d.0p-140L,
+ 0xad8000.0p-24, 0xc72afd.0p-25, -0x132d91f21d89c89c45003fc5d7807.0p-140L,
+ 0xac8000.0p-24, 0xca20a2.0p-25, -0x16bf9b4d1f8da8002f2449e174504.0p-139L,
+ 0xab8000.0p-24, 0xcd1aae.0p-25, 0x19deb5ce6a6a8717d5626e16acc7d.0p-141L,
+ 0xaa8000.0p-24, 0xd0192f.0p-25, 0x1a29fb48f7d3ca87dabf351aa41f4.0p-139L,
+ 0xaa0000.0p-24, 0xd19a20.0p-25, 0x1127d3c6457f9d79f51dcc73014c9.0p-141L,
+ 0xa90000.0p-24, 0xd49f6a.0p-25, -0x1ba930e486a0ac42d1bf9199188e7.0p-141L,
+ 0xa80000.0p-24, 0xd7a94b.0p-25, -0x1b6e645f31549dd1160bcc45c7e2c.0p-139L,
+ 0xa70000.0p-24, 0xdab7d0.0p-25, 0x1118a425494b610665377f15625b6.0p-140L,
+ 0xa68000.0p-24, 0xdc40d5.0p-25, 0x1966f24d29d3a2d1b2176010478be.0p-140L,
+ 0xa58000.0p-24, 0xdf566d.0p-25, -0x1d8e52eb2248f0c95dd83626d7333.0p-142L,
+ 0xa48000.0p-24, 0xe270ce.0p-25, -0x1ee370f96e6b67ccb006a5b9890ea.0p-140L,
+ 0xa40000.0p-24, 0xe3ffce.0p-25, 0x1d155324911f56db28da4d629d00a.0p-140L,
+ 0xa30000.0p-24, 0xe72179.0p-25, -0x1fe6e2f2f867d8f4d60c713346641.0p-140L,
+ 0xa20000.0p-24, 0xea4812.0p-25, 0x1b7be9add7f4d3b3d406b6cbf3ce5.0p-140L,
+ 0xa18000.0p-24, 0xebdd3d.0p-25, 0x1b3cfb3f7511dd73692609040ccc2.0p-139L,
+ 0xa08000.0p-24, 0xef0b5b.0p-25, -0x1220de1f7301901b8ad85c25afd09.0p-139L,
+ 0xa00000.0p-24, 0xf0a451.0p-25, -0x176364c9ac81cc8a4dfb804de6867.0p-140L,
+ 0x9f0000.0p-24, 0xf3da16.0p-25, 0x1eed6b9aafac8d42f78d3e65d3727.0p-141L,
+ 0x9e8000.0p-24, 0xf576e9.0p-25, 0x1d593218675af269647b783d88999.0p-139L,
+ 0x9d8000.0p-24, 0xf8b47c.0p-25, -0x13e8eb7da053e063714615f7cc91d.0p-144L,
+ 0x9d0000.0p-24, 0xfa553f.0p-25, 0x1c063259bcade02951686d5373aec.0p-139L,
+ 0x9c0000.0p-24, 0xfd9ac5.0p-25, 0x1ef491085fa3c1649349630531502.0p-139L,
+ 0x9b8000.0p-24, 0xff3f8c.0p-25, 0x1d607a7c2b8c5320619fb9433d841.0p-139L,
+ 0x9a8000.0p-24, 0x814697.0p-24, -0x12ad3817004f3f0bdff99f932b273.0p-138L,
+ 0x9a0000.0p-24, 0x821b06.0p-24, -0x189fc53117f9e54e78103a2bc1767.0p-141L,
+ 0x990000.0p-24, 0x83c5f8.0p-24, 0x14cf15a048907b7d7f47ddb45c5a3.0p-139L,
+ 0x988000.0p-24, 0x849c7d.0p-24, 0x1cbb1d35fb82873b04a9af1dd692c.0p-138L,
+ 0x978000.0p-24, 0x864ba6.0p-24, 0x1128639b814f9b9770d8cb6573540.0p-138L,
+ 0x970000.0p-24, 0x87244c.0p-24, 0x184733853300f002e836dfd47bd41.0p-139L,
+ 0x968000.0p-24, 0x87fdaa.0p-24, 0x109d23aef77dd5cd7cc94306fb3ff.0p-140L,
+ 0x958000.0p-24, 0x89b293.0p-24, -0x1a81ef367a59de2b41eeebd550702.0p-138L,
+ 0x950000.0p-24, 0x8a8e20.0p-24, -0x121ad3dbb2f45275c917a30df4ac9.0p-138L,
+ 0x948000.0p-24, 0x8b6a6a.0p-24, -0x1cfb981628af71a89df4e6df2e93b.0p-139L,
+ 0x938000.0p-24, 0x8d253a.0p-24, -0x1d21730ea76cfdec367828734cae5.0p-139L,
+ 0x930000.0p-24, 0x8e03c2.0p-24, 0x135cc00e566f76b87333891e0dec4.0p-138L,
+ 0x928000.0p-24, 0x8ee30d.0p-24, -0x10fcb5df257a263e3bf446c6e3f69.0p-140L,
+ 0x918000.0p-24, 0x90a3ee.0p-24, -0x16e171b15433d723a4c7380a448d8.0p-139L,
+ 0x910000.0p-24, 0x918587.0p-24, -0x1d050da07f3236f330972da2a7a87.0p-139L,
+ 0x908000.0p-24, 0x9267e7.0p-24, 0x1be03669a5268d21148c6002becd3.0p-139L,
+ 0x8f8000.0p-24, 0x942f04.0p-24, 0x10b28e0e26c336af90e00533323ba.0p-139L,
+ 0x8f0000.0p-24, 0x9513c3.0p-24, 0x1a1d820da57cf2f105a89060046aa.0p-138L,
+ 0x8e8000.0p-24, 0x95f950.0p-24, -0x19ef8f13ae3cf162409d8ea99d4c0.0p-139L,
+ 0x8e0000.0p-24, 0x96dfab.0p-24, -0x109e417a6e507b9dc10dac743ad7a.0p-138L,
+ 0x8d0000.0p-24, 0x98aed2.0p-24, 0x10d01a2c5b0e97c4990b23d9ac1f5.0p-139L,
+ 0x8c8000.0p-24, 0x9997a2.0p-24, -0x1d6a50d4b61ea74540bdd2aa99a42.0p-138L,
+ 0x8c0000.0p-24, 0x9a8145.0p-24, 0x1b3b190b83f9527e6aba8f2d783c1.0p-138L,
+ 0x8b8000.0p-24, 0x9b6bbf.0p-24, 0x13a69fad7e7abe7ba81c664c107e0.0p-138L,
+ 0x8b0000.0p-24, 0x9c5711.0p-24, -0x11cd12316f576aad348ae79867223.0p-138L,
+ 0x8a8000.0p-24, 0x9d433b.0p-24, 0x1c95c444b807a246726b304ccae56.0p-139L,
+ 0x898000.0p-24, 0x9f1e22.0p-24, -0x1b9c224ea698c2f9b47466d6123fe.0p-139L,
+ 0x890000.0p-24, 0xa00ce1.0p-24, 0x125ca93186cf0f38b4619a2483399.0p-141L,
+ 0x888000.0p-24, 0xa0fc80.0p-24, -0x1ee38a7bc228b3597043be78eaf49.0p-139L,
+ 0x880000.0p-24, 0xa1ed00.0p-24, -0x1a0db876613d204147dc69a07a649.0p-138L,
+ 0x878000.0p-24, 0xa2de62.0p-24, 0x193224e8516c008d3602a7b41c6e8.0p-139L,
+ 0x870000.0p-24, 0xa3d0a9.0p-24, 0x1fa28b4d2541aca7d5844606b2421.0p-139L,
+ 0x868000.0p-24, 0xa4c3d6.0p-24, 0x1c1b5760fb4571acbcfb03f16daf4.0p-138L,
+ 0x858000.0p-24, 0xa6acea.0p-24, 0x1fed5d0f65949c0a345ad743ae1ae.0p-140L,
+ 0x850000.0p-24, 0xa7a2d4.0p-24, 0x1ad270c9d749362382a7688479e24.0p-140L,
+ 0x848000.0p-24, 0xa899ab.0p-24, 0x199ff15ce532661ea9643a3a2d378.0p-139L,
+ 0x840000.0p-24, 0xa99171.0p-24, 0x1a19e15ccc45d257530a682b80490.0p-139L,
+ 0x838000.0p-24, 0xaa8a28.0p-24, -0x121a14ec532b35ba3e1f868fd0b5e.0p-140L,
+ 0x830000.0p-24, 0xab83d1.0p-24, 0x1aee319980bff3303dd481779df69.0p-139L,
+ 0x828000.0p-24, 0xac7e6f.0p-24, -0x18ffd9e3900345a85d2d86161742e.0p-140L,
+ 0x820000.0p-24, 0xad7a03.0p-24, -0x1e4db102ce29f79b026b64b42caa1.0p-140L,
+ 0x818000.0p-24, 0xae768f.0p-24, 0x17c35c55a04a82ab19f77652d977a.0p-141L,
+ 0x810000.0p-24, 0xaf7415.0p-24, 0x1448324047019b48d7b98c1cf7234.0p-138L,
+ 0x808000.0p-24, 0xb07298.0p-24, -0x1750ee3915a197e9c7359dd94152f.0p-138L,
+ 0x800000.0p-24, 0xb17218.0p-24, -0x105c610ca86c3898cff81a12a17e2.0p-141L,
+};
+
+#ifdef USE_UTAB
+static const struct {
+ float H; /* 1 + i/INTERVALS (exact) */
+ float E; /* H(i) * G(i) - 1 (exact) */
+} U[TSIZE] = {
+ 0x800000.0p-23, 0,
+ 0x810000.0p-23, -0x800000.0p-37,
+ 0x820000.0p-23, -0x800000.0p-35,
+ 0x830000.0p-23, -0x900000.0p-34,
+ 0x840000.0p-23, -0x800000.0p-33,
+ 0x850000.0p-23, -0xc80000.0p-33,
+ 0x860000.0p-23, -0xa00000.0p-36,
+ 0x870000.0p-23, 0x940000.0p-33,
+ 0x880000.0p-23, 0x800000.0p-35,
+ 0x890000.0p-23, -0xc80000.0p-34,
+ 0x8a0000.0p-23, 0xe00000.0p-36,
+ 0x8b0000.0p-23, 0x900000.0p-33,
+ 0x8c0000.0p-23, -0x800000.0p-35,
+ 0x8d0000.0p-23, -0xe00000.0p-33,
+ 0x8e0000.0p-23, 0x880000.0p-33,
+ 0x8f0000.0p-23, -0xa80000.0p-34,
+ 0x900000.0p-23, -0x800000.0p-35,
+ 0x910000.0p-23, 0x800000.0p-37,
+ 0x920000.0p-23, 0x900000.0p-35,
+ 0x930000.0p-23, 0xd00000.0p-35,
+ 0x940000.0p-23, 0xe00000.0p-35,
+ 0x950000.0p-23, 0xc00000.0p-35,
+ 0x960000.0p-23, 0xe00000.0p-36,
+ 0x970000.0p-23, -0x800000.0p-38,
+ 0x980000.0p-23, -0xc00000.0p-35,
+ 0x990000.0p-23, -0xd00000.0p-34,
+ 0x9a0000.0p-23, 0x880000.0p-33,
+ 0x9b0000.0p-23, 0xe80000.0p-35,
+ 0x9c0000.0p-23, -0x800000.0p-35,
+ 0x9d0000.0p-23, 0xb40000.0p-33,
+ 0x9e0000.0p-23, 0x880000.0p-34,
+ 0x9f0000.0p-23, -0xe00000.0p-35,
+ 0xa00000.0p-23, 0x800000.0p-33,
+ 0xa10000.0p-23, -0x900000.0p-36,
+ 0xa20000.0p-23, -0xb00000.0p-33,
+ 0xa30000.0p-23, -0xa00000.0p-36,
+ 0xa40000.0p-23, 0x800000.0p-33,
+ 0xa50000.0p-23, -0xf80000.0p-35,
+ 0xa60000.0p-23, 0x880000.0p-34,
+ 0xa70000.0p-23, -0x900000.0p-33,
+ 0xa80000.0p-23, -0x800000.0p-35,
+ 0xa90000.0p-23, 0x900000.0p-34,
+ 0xaa0000.0p-23, 0xa80000.0p-33,
+ 0xab0000.0p-23, -0xac0000.0p-34,
+ 0xac0000.0p-23, -0x800000.0p-37,
+ 0xad0000.0p-23, 0xf80000.0p-35,
+ 0xae0000.0p-23, 0xf80000.0p-34,
+ 0xaf0000.0p-23, -0xac0000.0p-33,
+ 0xb00000.0p-23, -0x800000.0p-33,
+ 0xb10000.0p-23, -0xb80000.0p-34,
+ 0xb20000.0p-23, -0x800000.0p-34,
+ 0xb30000.0p-23, -0xb00000.0p-35,
+ 0xb40000.0p-23, -0x800000.0p-35,
+ 0xb50000.0p-23, -0xe00000.0p-36,
+ 0xb60000.0p-23, -0x800000.0p-35,
+ 0xb70000.0p-23, -0xb00000.0p-35,
+ 0xb80000.0p-23, -0x800000.0p-34,
+ 0xb90000.0p-23, -0xb80000.0p-34,
+ 0xba0000.0p-23, -0x800000.0p-33,
+ 0xbb0000.0p-23, -0xac0000.0p-33,
+ 0xbc0000.0p-23, 0x980000.0p-33,
+ 0xbd0000.0p-23, 0xbc0000.0p-34,
+ 0xbe0000.0p-23, 0xe00000.0p-36,
+ 0xbf0000.0p-23, -0xb80000.0p-35,
+ 0xc00000.0p-23, -0x800000.0p-33,
+ 0xc10000.0p-23, 0xa80000.0p-33,
+ 0xc20000.0p-23, 0x900000.0p-34,
+ 0xc30000.0p-23, -0x800000.0p-35,
+ 0xc40000.0p-23, -0x900000.0p-33,
+ 0xc50000.0p-23, 0x820000.0p-33,
+ 0xc60000.0p-23, 0x800000.0p-38,
+ 0xc70000.0p-23, -0x820000.0p-33,
+ 0xc80000.0p-23, 0x800000.0p-33,
+ 0xc90000.0p-23, -0xa00000.0p-36,
+ 0xca0000.0p-23, -0xb00000.0p-33,
+ 0xcb0000.0p-23, 0x840000.0p-34,
+ 0xcc0000.0p-23, -0xd00000.0p-34,
+ 0xcd0000.0p-23, 0x800000.0p-33,
+ 0xce0000.0p-23, -0xe00000.0p-35,
+ 0xcf0000.0p-23, 0xa60000.0p-33,
+ 0xd00000.0p-23, -0x800000.0p-35,
+ 0xd10000.0p-23, 0xb40000.0p-33,
+ 0xd20000.0p-23, -0x800000.0p-35,
+ 0xd30000.0p-23, 0xaa0000.0p-33,
+ 0xd40000.0p-23, -0xe00000.0p-35,
+ 0xd50000.0p-23, 0x880000.0p-33,
+ 0xd60000.0p-23, -0xd00000.0p-34,
+ 0xd70000.0p-23, 0x9c0000.0p-34,
+ 0xd80000.0p-23, -0xb00000.0p-33,
+ 0xd90000.0p-23, -0x800000.0p-38,
+ 0xda0000.0p-23, 0xa40000.0p-33,
+ 0xdb0000.0p-23, -0xdc0000.0p-34,
+ 0xdc0000.0p-23, 0xc00000.0p-35,
+ 0xdd0000.0p-23, 0xca0000.0p-33,
+ 0xde0000.0p-23, -0xb80000.0p-34,
+ 0xdf0000.0p-23, 0xd00000.0p-35,
+ 0xe00000.0p-23, 0xc00000.0p-33,
+ 0xe10000.0p-23, -0xf40000.0p-34,
+ 0xe20000.0p-23, 0x800000.0p-37,
+ 0xe30000.0p-23, 0x860000.0p-33,
+ 0xe40000.0p-23, -0xc80000.0p-33,
+ 0xe50000.0p-23, -0xa80000.0p-34,
+ 0xe60000.0p-23, 0xe00000.0p-36,
+ 0xe70000.0p-23, 0x880000.0p-33,
+ 0xe80000.0p-23, -0xe00000.0p-33,
+ 0xe90000.0p-23, -0xfc0000.0p-34,
+ 0xea0000.0p-23, -0x800000.0p-35,
+ 0xeb0000.0p-23, 0xe80000.0p-35,
+ 0xec0000.0p-23, 0x900000.0p-33,
+ 0xed0000.0p-23, 0xe20000.0p-33,
+ 0xee0000.0p-23, -0xac0000.0p-33,
+ 0xef0000.0p-23, -0xc80000.0p-34,
+ 0xf00000.0p-23, -0x800000.0p-35,
+ 0xf10000.0p-23, 0x800000.0p-35,
+ 0xf20000.0p-23, 0xb80000.0p-34,
+ 0xf30000.0p-23, 0x940000.0p-33,
+ 0xf40000.0p-23, 0xc80000.0p-33,
+ 0xf50000.0p-23, -0xf20000.0p-33,
+ 0xf60000.0p-23, -0xc80000.0p-33,
+ 0xf70000.0p-23, -0xa20000.0p-33,
+ 0xf80000.0p-23, -0x800000.0p-33,
+ 0xf90000.0p-23, -0xc40000.0p-34,
+ 0xfa0000.0p-23, -0x900000.0p-34,
+ 0xfb0000.0p-23, -0xc80000.0p-35,
+ 0xfc0000.0p-23, -0x800000.0p-35,
+ 0xfd0000.0p-23, -0x900000.0p-36,
+ 0xfe0000.0p-23, -0x800000.0p-37,
+ 0xff0000.0p-23, -0x800000.0p-39,
+ 0x800000.0p-22, 0,
+};
+#endif /* USE_UTAB */
+
+#ifdef STRUCT_RETURN
+#define RETURN1(rp, v) do { \
+ (rp)->hi = (v); \
+ (rp)->lo_set = 0; \
+ return; \
+} while (0)
+
+#define RETURN2(rp, h, l) do { \
+ (rp)->hi = (h); \
+ (rp)->lo = (l); \
+ (rp)->lo_set = 1; \
+ return; \
+} while (0)
+
+struct ld {
+ long double hi;
+ long double lo;
+ int lo_set;
+};
+#else
+#define RETURN1(rp, v) RETURNF(v)
+#define RETURN2(rp, h, l) RETURNI((h) + (l))
+#endif
+
+#ifdef STRUCT_RETURN
+static inline __always_inline void
+k_logl(long double x, struct ld *rp)
+#else
+long double
+logl(long double x)
+#endif
+{
+ long double d, val_hi, val_lo;
+ double dd, dk;
+ uint64_t lx, llx;
+ int i, k;
+ uint16_t hx;
+
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+ k = -16383;
+#if 0 /* Hard to do efficiently. Don't do it until we support all modes. */
+ if (x == 1)
+ RETURN1(rp, 0); /* log(1) = +0 in all rounding modes */
+#endif
+ if (hx == 0 || hx >= 0x8000) { /* zero, negative or subnormal? */
+ if (((hx & 0x7fff) | lx | llx) == 0)
+ RETURN1(rp, -1 / zero); /* log(+-0) = -Inf */
+ if (hx != 0)
+ /* log(neg or NaN) = qNaN: */
+ RETURN1(rp, (x - x) / zero);
+ x *= 0x1.0p113; /* subnormal; scale up x */
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+ k = -16383 - 113;
+ } else if (hx >= 0x7fff)
+ RETURN1(rp, x + x); /* log(Inf or NaN) = Inf or qNaN */
+#ifndef STRUCT_RETURN
+ ENTERI();
+#endif
+ k += hx;
+ dk = k;
+
+ /* Scale x to be in [1, 2). */
+ SET_LDBL_EXPSIGN(x, 0x3fff);
+
+ /* 0 <= i <= INTERVALS: */
+#define L2I (49 - LOG2_INTERVALS)
+ i = (lx + (1LL << (L2I - 2))) >> (L2I - 1);
+
+ /*
+ * -0.005280 < d < 0.004838. In particular, the infinite-
+ * precision |d| is <= 2**-7. Rounding of G(i) to 8 bits
+ * ensures that d is representable without extra precision for
+ * this bound on |d| (since when this calculation is expressed
+ * as x*G(i)-1, the multiplication needs as many extra bits as
+ * G(i) has and the subtraction cancels 8 bits). But for
+ * most i (107 cases out of 129), the infinite-precision |d|
+ * is <= 2**-8. G(i) is rounded to 9 bits for such i to give
+ * better accuracy (this works by improving the bound on |d|,
+ * which in turn allows rounding to 9 bits in more cases).
+ * This is only important when the original x is near 1 -- it
+ * lets us avoid using a special method to give the desired
+ * accuracy for such x.
+ */
+ if (0)
+ d = x * G(i) - 1;
+ else {
+#ifdef USE_UTAB
+ d = (x - H(i)) * G(i) + E(i);
+#else
+ long double x_hi;
+ double x_lo;
+
+ /*
+ * Split x into x_hi + x_lo to calculate x*G(i)-1 exactly.
+ * G(i) has at most 9 bits, so the splitting point is not
+ * critical.
+ */
+ INSERT_LDBL128_WORDS(x_hi, 0x3fff, lx,
+ llx & 0xffffffffff000000ULL);
+ x_lo = x - x_hi;
+ d = x_hi * G(i) - 1 + x_lo * G(i);
+#endif
+ }
+
+ /*
+ * Our algorithm depends on exact cancellation of F_lo(i) and
+ * F_hi(i) with dk*ln_2_lo and dk*ln2_hi when k is -1 and i is
+ * at the end of the table. This and other technical complications
+ * make it difficult to avoid the double scaling in (dk*ln2) *
+ * log(base) for base != e without losing more accuracy and/or
+ * efficiency than is gained.
+ */
+ /*
+ * Use double precision operations wherever possible, since long
+ * double operations are emulated and are very slow on the only
+ * known machines that support ld128 (sparc64). Also, don't try
+ * to improve parallelism by increasing the number of operations,
+ * since any parallelism on such machines is needed for the
+ * emulation. Horner's method is good for this, and is also good
+ * for accuracy. Horner's method doesn't handle the `lo' term
+ * well, either for efficiency or accuracy. However, for accuracy
+ * we evaluate d * d * P2 separately to take advantage of
+ * by P2 being exact, and this gives a good place to sum the 'lo'
+ * term too.
+ */
+ dd = (double)d;
+ val_lo = d * d * d * (P3 +
+ d * (P4 + d * (P5 + d * (P6 + d * (P7 + d * (P8 +
+ dd * (P9 + dd * (P10 + dd * (P11 + dd * (P12 + dd * (P13 +
+ dd * P14))))))))))) + (F_lo(i) + dk * ln2_lo) + d * d * P2;
+ val_hi = d;
+#ifdef DEBUG
+ if (fetestexcept(FE_UNDERFLOW))
+ breakpoint();
+#endif
+
+ _3sumF(val_hi, val_lo, F_hi(i) + dk * ln2_hi);
+ RETURN2(rp, val_hi, val_lo);
+}
+
+long double
+log1pl(long double x)
+{
+ long double d, d_hi, f_lo, val_hi, val_lo;
+ long double f_hi, twopminusk;
+ double d_lo, dd, dk;
+ uint64_t lx, llx;
+ int i, k;
+ int16_t ax, hx;
+
+ DOPRINT_START(&x);
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+ if (hx < 0x3fff) { /* x < 1, or x neg NaN */
+ ax = hx & 0x7fff;
+ if (ax >= 0x3fff) { /* x <= -1, or x neg NaN */
+ if (ax == 0x3fff && (lx | llx) == 0)
+ RETURNP(-1 / zero); /* log1p(-1) = -Inf */
+ /* log1p(x < 1, or x NaN) = qNaN: */
+ RETURNP((x - x) / (x - x));
+ }
+ if (ax <= 0x3f8d) { /* |x| < 2**-113 */
+ if ((int)x == 0)
+ RETURNP(x); /* x with inexact if x != 0 */
+ }
+ f_hi = 1;
+ f_lo = x;
+ } else if (hx >= 0x7fff) { /* x +Inf or non-neg NaN */
+ RETURNP(x + x); /* log1p(Inf or NaN) = Inf or qNaN */
+ } else if (hx < 0x40e1) { /* 1 <= x < 2**226 */
+ f_hi = x;
+ f_lo = 1;
+ } else { /* 2**226 <= x < +Inf */
+ f_hi = x;
+ f_lo = 0; /* avoid underflow of the P3 term */
+ }
+ ENTERI();
+ x = f_hi + f_lo;
+ f_lo = (f_hi - x) + f_lo;
+
+ EXTRACT_LDBL128_WORDS(hx, lx, llx, x);
+ k = -16383;
+
+ k += hx;
+ dk = k;
+
+ SET_LDBL_EXPSIGN(x, 0x3fff);
+ twopminusk = 1;
+ SET_LDBL_EXPSIGN(twopminusk, 0x7ffe - (hx & 0x7fff));
+ f_lo *= twopminusk;
+
+ i = (lx + (1LL << (L2I - 2))) >> (L2I - 1);
+
+ /*
+ * x*G(i)-1 (with a reduced x) can be represented exactly, as
+ * above, but now we need to evaluate the polynomial on d =
+ * (x+f_lo)*G(i)-1 and extra precision is needed for that.
+ * Since x+x_lo is a hi+lo decomposition and subtracting 1
+ * doesn't lose too many bits, an inexact calculation for
+ * f_lo*G(i) is good enough.
+ */
+ if (0)
+ d_hi = x * G(i) - 1;
+ else {
+#ifdef USE_UTAB
+ d_hi = (x - H(i)) * G(i) + E(i);
+#else
+ long double x_hi;
+ double x_lo;
+
+ INSERT_LDBL128_WORDS(x_hi, 0x3fff, lx,
+ llx & 0xffffffffff000000ULL);
+ x_lo = x - x_hi;
+ d_hi = x_hi * G(i) - 1 + x_lo * G(i);
+#endif
+ }
+ d_lo = f_lo * G(i);
+
+ /*
+ * This is _2sumF(d_hi, d_lo) inlined. The condition
+ * (d_hi == 0 || |d_hi| >= |d_lo|) for using _2sumF() is not
+ * always satisifed, so it is not clear that this works, but
+ * it works in practice. It works even if it gives a wrong
+ * normalized d_lo, since |d_lo| > |d_hi| implies that i is
+ * nonzero and d is tiny, so the F(i) term dominates d_lo.
+ * In float precision:
+ * (By exhaustive testing, the worst case is d_hi = 0x1.bp-25.
+ * And if d is only a little tinier than that, we would have
+ * another underflow problem for the P3 term; this is also ruled
+ * out by exhaustive testing.)
+ */
+ d = d_hi + d_lo;
+ d_lo = d_hi - d + d_lo;
+ d_hi = d;
+
+ dd = (double)d;
+ val_lo = d * d * d * (P3 +
+ d * (P4 + d * (P5 + d * (P6 + d * (P7 + d * (P8 +
+ dd * (P9 + dd * (P10 + dd * (P11 + dd * (P12 + dd * (P13 +
+ dd * P14))))))))))) + (F_lo(i) + dk * ln2_lo + d_lo) + d * d * P2;
+ val_hi = d_hi;
+#ifdef DEBUG
+ if (fetestexcept(FE_UNDERFLOW))
+ breakpoint();
+#endif
+
+ _3sumF(val_hi, val_lo, F_hi(i) + dk * ln2_hi);
+ RETURN2PI(val_hi, val_lo);
+}
+
+#ifdef STRUCT_RETURN
+
+long double
+logl(long double x)
+{
+ struct ld r;
+
+ ENTERI();
+ DOPRINT_START(&x);
+ k_logl(x, &r);
+ RETURNSPI(&r);
+}
+
+/*
+ * 29+113 bit decompositions. The bits are distributed so that the products
+ * of the hi terms are exact in double precision. The types are chosen so
+ * that the products of the hi terms are done in at least double precision,
+ * without any explicit conversions. More natural choices would require a
+ * slow long double precision multiplication.
+ */
+static const double
+invln10_hi = 4.3429448176175356e-1, /* 0x1bcb7b15000000.0p-54 */
+invln2_hi = 1.4426950402557850e0; /* 0x17154765000000.0p-52 */
+static const long double
+invln10_lo = 1.41498268538580090791605082294397000e-10L, /* 0x137287195355baaafad33dc323ee3.0p-145L */
+invln2_lo = 6.33178418956604368501892137426645911e-10L; /* 0x15c17f0bbbe87fed0691d3e88eb57.0p-143L */
+
+long double
+log10l(long double x)
+{
+ struct ld r;
+ long double lo;
+ float hi;
+
+ ENTERI();
+ DOPRINT_START(&x);
+ k_logl(x, &r);
+ if (!r.lo_set)
+ RETURNPI(r.hi);
+ _2sumF(r.hi, r.lo);
+ hi = r.hi;
+ lo = r.lo + (r.hi - hi);
+ RETURN2PI(invln10_hi * hi,
+ (invln10_lo + invln10_hi) * lo + invln10_lo * hi);
+}
+
+long double
+log2l(long double x)
+{
+ struct ld r;
+ long double lo;
+ float hi;
+
+ ENTERI();
+ DOPRINT_START(&x);
+ k_logl(x, &r);
+ if (!r.lo_set)
+ RETURNPI(r.hi);
+ _2sumF(r.hi, r.lo);
+ hi = r.hi;
+ lo = r.lo + (r.hi - hi);
+ RETURN2PI(invln2_hi * hi,
+ (invln2_lo + invln2_hi) * lo + invln2_lo * hi);
+}
+
+#endif /* STRUCT_RETURN */
diff --git a/libm/upstream-freebsd/lib/msun/ld128/s_nanl.c b/libm/upstream-freebsd/lib/msun/ld128/s_nanl.c
new file mode 100644
index 0000000..0f74a13
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/ld128/s_nanl.c
@@ -0,0 +1,46 @@
+/*-
+ * Copyright (c) 2007 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+#include "../src/math_private.h"
+
+long double
+nanl(const char *s)
+{
+ union {
+ union IEEEl2bits ieee;
+ uint32_t bits[4];
+ } u;
+
+ _scan_nan(u.bits, 4, s);
+ u.ieee.bits.exp = 0x7fff;
+ u.ieee.bits.manh |= 1ULL << 47; /* make it a quiet NaN */
+ return (u.ieee.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/catrig.c b/libm/upstream-freebsd/lib/msun/src/catrig.c
new file mode 100644
index 0000000..050a88b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/catrig.c
@@ -0,0 +1,639 @@
+/*-
+ * Copyright (c) 2012 Stephen Montgomery-Smith <stephen@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/catrig.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+#undef isinf
+#define isinf(x) (fabs(x) == INFINITY)
+#undef isnan
+#define isnan(x) ((x) != (x))
+#define raise_inexact() do { volatile float junk = 1 + tiny; } while(0)
+#undef signbit
+#define signbit(x) (__builtin_signbit(x))
+
+/* We need that DBL_EPSILON^2/128 is larger than FOUR_SQRT_MIN. */
+static const double
+A_crossover = 10, /* Hull et al suggest 1.5, but 10 works better */
+B_crossover = 0.6417, /* suggested by Hull et al */
+FOUR_SQRT_MIN = 0x1p-509, /* >= 4 * sqrt(DBL_MIN) */
+QUARTER_SQRT_MAX = 0x1p509, /* <= sqrt(DBL_MAX) / 4 */
+m_e = 2.7182818284590452e0, /* 0x15bf0a8b145769.0p-51 */
+m_ln2 = 6.9314718055994531e-1, /* 0x162e42fefa39ef.0p-53 */
+pio2_hi = 1.5707963267948966e0, /* 0x1921fb54442d18.0p-52 */
+RECIP_EPSILON = 1 / DBL_EPSILON,
+SQRT_3_EPSILON = 2.5809568279517849e-8, /* 0x1bb67ae8584caa.0p-78 */
+SQRT_6_EPSILON = 3.6500241499888571e-8, /* 0x13988e1409212e.0p-77 */
+SQRT_MIN = 0x1p-511; /* >= sqrt(DBL_MIN) */
+
+static const volatile double
+pio2_lo = 6.1232339957367659e-17; /* 0x11a62633145c07.0p-106 */
+static const volatile float
+tiny = 0x1p-100;
+
+static double complex clog_for_large_values(double complex z);
+
+/*
+ * Testing indicates that all these functions are accurate up to 4 ULP.
+ * The functions casin(h) and cacos(h) are about 2.5 times slower than asinh.
+ * The functions catan(h) are a little under 2 times slower than atanh.
+ *
+ * The code for casinh, casin, cacos, and cacosh comes first. The code is
+ * rather complicated, and the four functions are highly interdependent.
+ *
+ * The code for catanh and catan comes at the end. It is much simpler than
+ * the other functions, and the code for these can be disconnected from the
+ * rest of the code.
+ */
+
+/*
+ * ================================
+ * | casinh, casin, cacos, cacosh |
+ * ================================
+ */
+
+/*
+ * The algorithm is very close to that in "Implementing the complex arcsine
+ * and arccosine functions using exception handling" by T. E. Hull, Thomas F.
+ * Fairgrieve, and Ping Tak Peter Tang, published in ACM Transactions on
+ * Mathematical Software, Volume 23 Issue 3, 1997, Pages 299-335,
+ * http://dl.acm.org/citation.cfm?id=275324.
+ *
+ * Throughout we use the convention z = x + I*y.
+ *
+ * casinh(z) = sign(x)*log(A+sqrt(A*A-1)) + I*asin(B)
+ * where
+ * A = (|z+I| + |z-I|) / 2
+ * B = (|z+I| - |z-I|) / 2 = y/A
+ *
+ * These formulas become numerically unstable:
+ * (a) for Re(casinh(z)) when z is close to the line segment [-I, I] (that
+ * is, Re(casinh(z)) is close to 0);
+ * (b) for Im(casinh(z)) when z is close to either of the intervals
+ * [I, I*infinity) or (-I*infinity, -I] (that is, |Im(casinh(z))| is
+ * close to PI/2).
+ *
+ * These numerical problems are overcome by defining
+ * f(a, b) = (hypot(a, b) - b) / 2 = a*a / (hypot(a, b) + b) / 2
+ * Then if A < A_crossover, we use
+ * log(A + sqrt(A*A-1)) = log1p((A-1) + sqrt((A-1)*(A+1)))
+ * A-1 = f(x, 1+y) + f(x, 1-y)
+ * and if B > B_crossover, we use
+ * asin(B) = atan2(y, sqrt(A*A - y*y)) = atan2(y, sqrt((A+y)*(A-y)))
+ * A-y = f(x, y+1) + f(x, y-1)
+ * where without loss of generality we have assumed that x and y are
+ * non-negative.
+ *
+ * Much of the difficulty comes because the intermediate computations may
+ * produce overflows or underflows. This is dealt with in the paper by Hull
+ * et al by using exception handling. We do this by detecting when
+ * computations risk underflow or overflow. The hardest part is handling the
+ * underflows when computing f(a, b).
+ *
+ * Note that the function f(a, b) does not appear explicitly in the paper by
+ * Hull et al, but the idea may be found on pages 308 and 309. Introducing the
+ * function f(a, b) allows us to concentrate many of the clever tricks in this
+ * paper into one function.
+ */
+
+/*
+ * Function f(a, b, hypot_a_b) = (hypot(a, b) - b) / 2.
+ * Pass hypot(a, b) as the third argument.
+ */
+static inline double
+f(double a, double b, double hypot_a_b)
+{
+ if (b < 0)
+ return ((hypot_a_b - b) / 2);
+ if (b == 0)
+ return (a / 2);
+ return (a * a / (hypot_a_b + b) / 2);
+}
+
+/*
+ * All the hard work is contained in this function.
+ * x and y are assumed positive or zero, and less than RECIP_EPSILON.
+ * Upon return:
+ * rx = Re(casinh(z)) = -Im(cacos(y + I*x)).
+ * B_is_usable is set to 1 if the value of B is usable.
+ * If B_is_usable is set to 0, sqrt_A2my2 = sqrt(A*A - y*y), and new_y = y.
+ * If returning sqrt_A2my2 has potential to result in an underflow, it is
+ * rescaled, and new_y is similarly rescaled.
+ */
+static inline void
+do_hard_work(double x, double y, double *rx, int *B_is_usable, double *B,
+ double *sqrt_A2my2, double *new_y)
+{
+ double R, S, A; /* A, B, R, and S are as in Hull et al. */
+ double Am1, Amy; /* A-1, A-y. */
+
+ R = hypot(x, y + 1); /* |z+I| */
+ S = hypot(x, y - 1); /* |z-I| */
+
+ /* A = (|z+I| + |z-I|) / 2 */
+ A = (R + S) / 2;
+ /*
+ * Mathematically A >= 1. There is a small chance that this will not
+ * be so because of rounding errors. So we will make certain it is
+ * so.
+ */
+ if (A < 1)
+ A = 1;
+
+ if (A < A_crossover) {
+ /*
+ * Am1 = fp + fm, where fp = f(x, 1+y), and fm = f(x, 1-y).
+ * rx = log1p(Am1 + sqrt(Am1*(A+1)))
+ */
+ if (y == 1 && x < DBL_EPSILON * DBL_EPSILON / 128) {
+ /*
+ * fp is of order x^2, and fm = x/2.
+ * A = 1 (inexactly).
+ */
+ *rx = sqrt(x);
+ } else if (x >= DBL_EPSILON * fabs(y - 1)) {
+ /*
+ * Underflow will not occur because
+ * x >= DBL_EPSILON^2/128 >= FOUR_SQRT_MIN
+ */
+ Am1 = f(x, 1 + y, R) + f(x, 1 - y, S);
+ *rx = log1p(Am1 + sqrt(Am1 * (A + 1)));
+ } else if (y < 1) {
+ /*
+ * fp = x*x/(1+y)/4, fm = x*x/(1-y)/4, and
+ * A = 1 (inexactly).
+ */
+ *rx = x / sqrt((1 - y) * (1 + y));
+ } else { /* if (y > 1) */
+ /*
+ * A-1 = y-1 (inexactly).
+ */
+ *rx = log1p((y - 1) + sqrt((y - 1) * (y + 1)));
+ }
+ } else {
+ *rx = log(A + sqrt(A * A - 1));
+ }
+
+ *new_y = y;
+
+ if (y < FOUR_SQRT_MIN) {
+ /*
+ * Avoid a possible underflow caused by y/A. For casinh this
+ * would be legitimate, but will be picked up by invoking atan2
+ * later on. For cacos this would not be legitimate.
+ */
+ *B_is_usable = 0;
+ *sqrt_A2my2 = A * (2 / DBL_EPSILON);
+ *new_y = y * (2 / DBL_EPSILON);
+ return;
+ }
+
+ /* B = (|z+I| - |z-I|) / 2 = y/A */
+ *B = y / A;
+ *B_is_usable = 1;
+
+ if (*B > B_crossover) {
+ *B_is_usable = 0;
+ /*
+ * Amy = fp + fm, where fp = f(x, y+1), and fm = f(x, y-1).
+ * sqrt_A2my2 = sqrt(Amy*(A+y))
+ */
+ if (y == 1 && x < DBL_EPSILON / 128) {
+ /*
+ * fp is of order x^2, and fm = x/2.
+ * A = 1 (inexactly).
+ */
+ *sqrt_A2my2 = sqrt(x) * sqrt((A + y) / 2);
+ } else if (x >= DBL_EPSILON * fabs(y - 1)) {
+ /*
+ * Underflow will not occur because
+ * x >= DBL_EPSILON/128 >= FOUR_SQRT_MIN
+ * and
+ * x >= DBL_EPSILON^2 >= FOUR_SQRT_MIN
+ */
+ Amy = f(x, y + 1, R) + f(x, y - 1, S);
+ *sqrt_A2my2 = sqrt(Amy * (A + y));
+ } else if (y > 1) {
+ /*
+ * fp = x*x/(y+1)/4, fm = x*x/(y-1)/4, and
+ * A = y (inexactly).
+ *
+ * y < RECIP_EPSILON. So the following
+ * scaling should avoid any underflow problems.
+ */
+ *sqrt_A2my2 = x * (4 / DBL_EPSILON / DBL_EPSILON) * y /
+ sqrt((y + 1) * (y - 1));
+ *new_y = y * (4 / DBL_EPSILON / DBL_EPSILON);
+ } else { /* if (y < 1) */
+ /*
+ * fm = 1-y >= DBL_EPSILON, fp is of order x^2, and
+ * A = 1 (inexactly).
+ */
+ *sqrt_A2my2 = sqrt((1 - y) * (1 + y));
+ }
+ }
+}
+
+/*
+ * casinh(z) = z + O(z^3) as z -> 0
+ *
+ * casinh(z) = sign(x)*clog(sign(x)*z) + O(1/z^2) as z -> infinity
+ * The above formula works for the imaginary part as well, because
+ * Im(casinh(z)) = sign(x)*atan2(sign(x)*y, fabs(x)) + O(y/z^3)
+ * as z -> infinity, uniformly in y
+ */
+double complex
+casinh(double complex z)
+{
+ double x, y, ax, ay, rx, ry, B, sqrt_A2my2, new_y;
+ int B_is_usable;
+ double complex w;
+
+ x = creal(z);
+ y = cimag(z);
+ ax = fabs(x);
+ ay = fabs(y);
+
+ if (isnan(x) || isnan(y)) {
+ /* casinh(+-Inf + I*NaN) = +-Inf + I*NaN */
+ if (isinf(x))
+ return (CMPLX(x, y + y));
+ /* casinh(NaN + I*+-Inf) = opt(+-)Inf + I*NaN */
+ if (isinf(y))
+ return (CMPLX(y, x + x));
+ /* casinh(NaN + I*0) = NaN + I*0 */
+ if (y == 0)
+ return (CMPLX(x + x, y));
+ /*
+ * All other cases involving NaN return NaN + I*NaN.
+ * C99 leaves it optional whether to raise invalid if one of
+ * the arguments is not NaN, so we opt not to raise it.
+ */
+ return (CMPLX(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON) {
+ /* clog...() will raise inexact unless x or y is infinite. */
+ if (signbit(x) == 0)
+ w = clog_for_large_values(z) + m_ln2;
+ else
+ w = clog_for_large_values(-z) + m_ln2;
+ return (CMPLX(copysign(creal(w), x), copysign(cimag(w), y)));
+ }
+
+ /* Avoid spuriously raising inexact for z = 0. */
+ if (x == 0 && y == 0)
+ return (z);
+
+ /* All remaining cases are inexact. */
+ raise_inexact();
+
+ if (ax < SQRT_6_EPSILON / 4 && ay < SQRT_6_EPSILON / 4)
+ return (z);
+
+ do_hard_work(ax, ay, &rx, &B_is_usable, &B, &sqrt_A2my2, &new_y);
+ if (B_is_usable)
+ ry = asin(B);
+ else
+ ry = atan2(new_y, sqrt_A2my2);
+ return (CMPLX(copysign(rx, x), copysign(ry, y)));
+}
+
+/*
+ * casin(z) = reverse(casinh(reverse(z)))
+ * where reverse(x + I*y) = y + I*x = I*conj(z).
+ */
+double complex
+casin(double complex z)
+{
+ double complex w = casinh(CMPLX(cimag(z), creal(z)));
+
+ return (CMPLX(cimag(w), creal(w)));
+}
+
+/*
+ * cacos(z) = PI/2 - casin(z)
+ * but do the computation carefully so cacos(z) is accurate when z is
+ * close to 1.
+ *
+ * cacos(z) = PI/2 - z + O(z^3) as z -> 0
+ *
+ * cacos(z) = -sign(y)*I*clog(z) + O(1/z^2) as z -> infinity
+ * The above formula works for the real part as well, because
+ * Re(cacos(z)) = atan2(fabs(y), x) + O(y/z^3)
+ * as z -> infinity, uniformly in y
+ */
+double complex
+cacos(double complex z)
+{
+ double x, y, ax, ay, rx, ry, B, sqrt_A2mx2, new_x;
+ int sx, sy;
+ int B_is_usable;
+ double complex w;
+
+ x = creal(z);
+ y = cimag(z);
+ sx = signbit(x);
+ sy = signbit(y);
+ ax = fabs(x);
+ ay = fabs(y);
+
+ if (isnan(x) || isnan(y)) {
+ /* cacos(+-Inf + I*NaN) = NaN + I*opt(-)Inf */
+ if (isinf(x))
+ return (CMPLX(y + y, -INFINITY));
+ /* cacos(NaN + I*+-Inf) = NaN + I*-+Inf */
+ if (isinf(y))
+ return (CMPLX(x + x, -y));
+ /* cacos(0 + I*NaN) = PI/2 + I*NaN with inexact */
+ if (x == 0)
+ return (CMPLX(pio2_hi + pio2_lo, y + y));
+ /*
+ * All other cases involving NaN return NaN + I*NaN.
+ * C99 leaves it optional whether to raise invalid if one of
+ * the arguments is not NaN, so we opt not to raise it.
+ */
+ return (CMPLX(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON) {
+ /* clog...() will raise inexact unless x or y is infinite. */
+ w = clog_for_large_values(z);
+ rx = fabs(cimag(w));
+ ry = creal(w) + m_ln2;
+ if (sy == 0)
+ ry = -ry;
+ return (CMPLX(rx, ry));
+ }
+
+ /* Avoid spuriously raising inexact for z = 1. */
+ if (x == 1 && y == 0)
+ return (CMPLX(0, -y));
+
+ /* All remaining cases are inexact. */
+ raise_inexact();
+
+ if (ax < SQRT_6_EPSILON / 4 && ay < SQRT_6_EPSILON / 4)
+ return (CMPLX(pio2_hi - (x - pio2_lo), -y));
+
+ do_hard_work(ay, ax, &ry, &B_is_usable, &B, &sqrt_A2mx2, &new_x);
+ if (B_is_usable) {
+ if (sx == 0)
+ rx = acos(B);
+ else
+ rx = acos(-B);
+ } else {
+ if (sx == 0)
+ rx = atan2(sqrt_A2mx2, new_x);
+ else
+ rx = atan2(sqrt_A2mx2, -new_x);
+ }
+ if (sy == 0)
+ ry = -ry;
+ return (CMPLX(rx, ry));
+}
+
+/*
+ * cacosh(z) = I*cacos(z) or -I*cacos(z)
+ * where the sign is chosen so Re(cacosh(z)) >= 0.
+ */
+double complex
+cacosh(double complex z)
+{
+ double complex w;
+ double rx, ry;
+
+ w = cacos(z);
+ rx = creal(w);
+ ry = cimag(w);
+ /* cacosh(NaN + I*NaN) = NaN + I*NaN */
+ if (isnan(rx) && isnan(ry))
+ return (CMPLX(ry, rx));
+ /* cacosh(NaN + I*+-Inf) = +Inf + I*NaN */
+ /* cacosh(+-Inf + I*NaN) = +Inf + I*NaN */
+ if (isnan(rx))
+ return (CMPLX(fabs(ry), rx));
+ /* cacosh(0 + I*NaN) = NaN + I*NaN */
+ if (isnan(ry))
+ return (CMPLX(ry, ry));
+ return (CMPLX(fabs(ry), copysign(rx, cimag(z))));
+}
+
+/*
+ * Optimized version of clog() for |z| finite and larger than ~RECIP_EPSILON.
+ */
+static double complex
+clog_for_large_values(double complex z)
+{
+ double x, y;
+ double ax, ay, t;
+
+ x = creal(z);
+ y = cimag(z);
+ ax = fabs(x);
+ ay = fabs(y);
+ if (ax < ay) {
+ t = ax;
+ ax = ay;
+ ay = t;
+ }
+
+ /*
+ * Avoid overflow in hypot() when x and y are both very large.
+ * Divide x and y by E, and then add 1 to the logarithm. This depends
+ * on E being larger than sqrt(2).
+ * Dividing by E causes an insignificant loss of accuracy; however
+ * this method is still poor since it is uneccessarily slow.
+ */
+ if (ax > DBL_MAX / 2)
+ return (CMPLX(log(hypot(x / m_e, y / m_e)) + 1, atan2(y, x)));
+
+ /*
+ * Avoid overflow when x or y is large. Avoid underflow when x or
+ * y is small.
+ */
+ if (ax > QUARTER_SQRT_MAX || ay < SQRT_MIN)
+ return (CMPLX(log(hypot(x, y)), atan2(y, x)));
+
+ return (CMPLX(log(ax * ax + ay * ay) / 2, atan2(y, x)));
+}
+
+/*
+ * =================
+ * | catanh, catan |
+ * =================
+ */
+
+/*
+ * sum_squares(x,y) = x*x + y*y (or just x*x if y*y would underflow).
+ * Assumes x*x and y*y will not overflow.
+ * Assumes x and y are finite.
+ * Assumes y is non-negative.
+ * Assumes fabs(x) >= DBL_EPSILON.
+ */
+static inline double
+sum_squares(double x, double y)
+{
+
+ /* Avoid underflow when y is small. */
+ if (y < SQRT_MIN)
+ return (x * x);
+
+ return (x * x + y * y);
+}
+
+/*
+ * real_part_reciprocal(x, y) = Re(1/(x+I*y)) = x/(x*x + y*y).
+ * Assumes x and y are not NaN, and one of x and y is larger than
+ * RECIP_EPSILON. We avoid unwarranted underflow. It is important to not use
+ * the code creal(1/z), because the imaginary part may produce an unwanted
+ * underflow.
+ * This is only called in a context where inexact is always raised before
+ * the call, so no effort is made to avoid or force inexact.
+ */
+static inline double
+real_part_reciprocal(double x, double y)
+{
+ double scale;
+ uint32_t hx, hy;
+ int32_t ix, iy;
+
+ /*
+ * This code is inspired by the C99 document n1124.pdf, Section G.5.1,
+ * example 2.
+ */
+ GET_HIGH_WORD(hx, x);
+ ix = hx & 0x7ff00000;
+ GET_HIGH_WORD(hy, y);
+ iy = hy & 0x7ff00000;
+#define BIAS (DBL_MAX_EXP - 1)
+/* XXX more guard digits are useful iff there is extra precision. */
+#define CUTOFF (DBL_MANT_DIG / 2 + 1) /* just half or 1 guard digit */
+ if (ix - iy >= CUTOFF << 20 || isinf(x))
+ return (1 / x); /* +-Inf -> +-0 is special */
+ if (iy - ix >= CUTOFF << 20)
+ return (x / y / y); /* should avoid double div, but hard */
+ if (ix <= (BIAS + DBL_MAX_EXP / 2 - CUTOFF) << 20)
+ return (x / (x * x + y * y));
+ scale = 1;
+ SET_HIGH_WORD(scale, 0x7ff00000 - ix); /* 2**(1-ilogb(x)) */
+ x *= scale;
+ y *= scale;
+ return (x / (x * x + y * y) * scale);
+}
+
+/*
+ * catanh(z) = log((1+z)/(1-z)) / 2
+ * = log1p(4*x / |z-1|^2) / 4
+ * + I * atan2(2*y, (1-x)*(1+x)-y*y) / 2
+ *
+ * catanh(z) = z + O(z^3) as z -> 0
+ *
+ * catanh(z) = 1/z + sign(y)*I*PI/2 + O(1/z^3) as z -> infinity
+ * The above formula works for the real part as well, because
+ * Re(catanh(z)) = x/|z|^2 + O(x/z^4)
+ * as z -> infinity, uniformly in x
+ */
+double complex
+catanh(double complex z)
+{
+ double x, y, ax, ay, rx, ry;
+
+ x = creal(z);
+ y = cimag(z);
+ ax = fabs(x);
+ ay = fabs(y);
+
+ /* This helps handle many cases. */
+ if (y == 0 && ax <= 1)
+ return (CMPLX(atanh(x), y));
+
+ /* To ensure the same accuracy as atan(), and to filter out z = 0. */
+ if (x == 0)
+ return (CMPLX(x, atan(y)));
+
+ if (isnan(x) || isnan(y)) {
+ /* catanh(+-Inf + I*NaN) = +-0 + I*NaN */
+ if (isinf(x))
+ return (CMPLX(copysign(0, x), y + y));
+ /* catanh(NaN + I*+-Inf) = sign(NaN)0 + I*+-PI/2 */
+ if (isinf(y))
+ return (CMPLX(copysign(0, x),
+ copysign(pio2_hi + pio2_lo, y)));
+ /*
+ * All other cases involving NaN return NaN + I*NaN.
+ * C99 leaves it optional whether to raise invalid if one of
+ * the arguments is not NaN, so we opt not to raise it.
+ */
+ return (CMPLX(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON)
+ return (CMPLX(real_part_reciprocal(x, y),
+ copysign(pio2_hi + pio2_lo, y)));
+
+ if (ax < SQRT_3_EPSILON / 2 && ay < SQRT_3_EPSILON / 2) {
+ /*
+ * z = 0 was filtered out above. All other cases must raise
+ * inexact, but this is the only only that needs to do it
+ * explicitly.
+ */
+ raise_inexact();
+ return (z);
+ }
+
+ if (ax == 1 && ay < DBL_EPSILON)
+ rx = (m_ln2 - log(ay)) / 2;
+ else
+ rx = log1p(4 * ax / sum_squares(ax - 1, ay)) / 4;
+
+ if (ax == 1)
+ ry = atan2(2, -ay) / 2;
+ else if (ay < DBL_EPSILON)
+ ry = atan2(2 * ay, (1 - ax) * (1 + ax)) / 2;
+ else
+ ry = atan2(2 * ay, (1 - ax) * (1 + ax) - ay * ay) / 2;
+
+ return (CMPLX(copysign(rx, x), copysign(ry, y)));
+}
+
+/*
+ * catan(z) = reverse(catanh(reverse(z)))
+ * where reverse(x + I*y) = y + I*x = I*conj(z).
+ */
+double complex
+catan(double complex z)
+{
+ double complex w = catanh(CMPLX(cimag(z), creal(z)));
+
+ return (CMPLX(cimag(w), creal(w)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/catrigf.c b/libm/upstream-freebsd/lib/msun/src/catrigf.c
new file mode 100644
index 0000000..e057d31
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/catrigf.c
@@ -0,0 +1,393 @@
+/*-
+ * Copyright (c) 2012 Stephen Montgomery-Smith <stephen@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+/*
+ * The algorithm is very close to that in "Implementing the complex arcsine
+ * and arccosine functions using exception handling" by T. E. Hull, Thomas F.
+ * Fairgrieve, and Ping Tak Peter Tang, published in ACM Transactions on
+ * Mathematical Software, Volume 23 Issue 3, 1997, Pages 299-335,
+ * http://dl.acm.org/citation.cfm?id=275324.
+ *
+ * See catrig.c for complete comments.
+ *
+ * XXX comments were removed automatically, and even short ones on the right
+ * of statements were removed (all of them), contrary to normal style. Only
+ * a few comments on the right of declarations remain.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/catrigf.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+#undef isinf
+#define isinf(x) (fabsf(x) == INFINITY)
+#undef isnan
+#define isnan(x) ((x) != (x))
+#define raise_inexact() do { volatile float junk = 1 + tiny; } while(0)
+#undef signbit
+#define signbit(x) (__builtin_signbitf(x))
+
+static const float
+A_crossover = 10,
+B_crossover = 0.6417,
+FOUR_SQRT_MIN = 0x1p-61,
+QUARTER_SQRT_MAX = 0x1p61,
+m_e = 2.7182818285e0, /* 0xadf854.0p-22 */
+m_ln2 = 6.9314718056e-1, /* 0xb17218.0p-24 */
+pio2_hi = 1.5707962513e0, /* 0xc90fda.0p-23 */
+RECIP_EPSILON = 1 / FLT_EPSILON,
+SQRT_3_EPSILON = 5.9801995673e-4, /* 0x9cc471.0p-34 */
+SQRT_6_EPSILON = 8.4572793338e-4, /* 0xddb3d7.0p-34 */
+SQRT_MIN = 0x1p-63;
+
+static const volatile float
+pio2_lo = 7.5497899549e-8, /* 0xa22169.0p-47 */
+tiny = 0x1p-100;
+
+static float complex clog_for_large_values(float complex z);
+
+static inline float
+f(float a, float b, float hypot_a_b)
+{
+ if (b < 0)
+ return ((hypot_a_b - b) / 2);
+ if (b == 0)
+ return (a / 2);
+ return (a * a / (hypot_a_b + b) / 2);
+}
+
+static inline void
+do_hard_work(float x, float y, float *rx, int *B_is_usable, float *B,
+ float *sqrt_A2my2, float *new_y)
+{
+ float R, S, A;
+ float Am1, Amy;
+
+ R = hypotf(x, y + 1);
+ S = hypotf(x, y - 1);
+
+ A = (R + S) / 2;
+ if (A < 1)
+ A = 1;
+
+ if (A < A_crossover) {
+ if (y == 1 && x < FLT_EPSILON * FLT_EPSILON / 128) {
+ *rx = sqrtf(x);
+ } else if (x >= FLT_EPSILON * fabsf(y - 1)) {
+ Am1 = f(x, 1 + y, R) + f(x, 1 - y, S);
+ *rx = log1pf(Am1 + sqrtf(Am1 * (A + 1)));
+ } else if (y < 1) {
+ *rx = x / sqrtf((1 - y) * (1 + y));
+ } else {
+ *rx = log1pf((y - 1) + sqrtf((y - 1) * (y + 1)));
+ }
+ } else {
+ *rx = logf(A + sqrtf(A * A - 1));
+ }
+
+ *new_y = y;
+
+ if (y < FOUR_SQRT_MIN) {
+ *B_is_usable = 0;
+ *sqrt_A2my2 = A * (2 / FLT_EPSILON);
+ *new_y = y * (2 / FLT_EPSILON);
+ return;
+ }
+
+ *B = y / A;
+ *B_is_usable = 1;
+
+ if (*B > B_crossover) {
+ *B_is_usable = 0;
+ if (y == 1 && x < FLT_EPSILON / 128) {
+ *sqrt_A2my2 = sqrtf(x) * sqrtf((A + y) / 2);
+ } else if (x >= FLT_EPSILON * fabsf(y - 1)) {
+ Amy = f(x, y + 1, R) + f(x, y - 1, S);
+ *sqrt_A2my2 = sqrtf(Amy * (A + y));
+ } else if (y > 1) {
+ *sqrt_A2my2 = x * (4 / FLT_EPSILON / FLT_EPSILON) * y /
+ sqrtf((y + 1) * (y - 1));
+ *new_y = y * (4 / FLT_EPSILON / FLT_EPSILON);
+ } else {
+ *sqrt_A2my2 = sqrtf((1 - y) * (1 + y));
+ }
+ }
+}
+
+float complex
+casinhf(float complex z)
+{
+ float x, y, ax, ay, rx, ry, B, sqrt_A2my2, new_y;
+ int B_is_usable;
+ float complex w;
+
+ x = crealf(z);
+ y = cimagf(z);
+ ax = fabsf(x);
+ ay = fabsf(y);
+
+ if (isnan(x) || isnan(y)) {
+ if (isinf(x))
+ return (CMPLXF(x, y + y));
+ if (isinf(y))
+ return (CMPLXF(y, x + x));
+ if (y == 0)
+ return (CMPLXF(x + x, y));
+ return (CMPLXF(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON) {
+ if (signbit(x) == 0)
+ w = clog_for_large_values(z) + m_ln2;
+ else
+ w = clog_for_large_values(-z) + m_ln2;
+ return (CMPLXF(copysignf(crealf(w), x),
+ copysignf(cimagf(w), y)));
+ }
+
+ if (x == 0 && y == 0)
+ return (z);
+
+ raise_inexact();
+
+ if (ax < SQRT_6_EPSILON / 4 && ay < SQRT_6_EPSILON / 4)
+ return (z);
+
+ do_hard_work(ax, ay, &rx, &B_is_usable, &B, &sqrt_A2my2, &new_y);
+ if (B_is_usable)
+ ry = asinf(B);
+ else
+ ry = atan2f(new_y, sqrt_A2my2);
+ return (CMPLXF(copysignf(rx, x), copysignf(ry, y)));
+}
+
+float complex
+casinf(float complex z)
+{
+ float complex w = casinhf(CMPLXF(cimagf(z), crealf(z)));
+
+ return (CMPLXF(cimagf(w), crealf(w)));
+}
+
+float complex
+cacosf(float complex z)
+{
+ float x, y, ax, ay, rx, ry, B, sqrt_A2mx2, new_x;
+ int sx, sy;
+ int B_is_usable;
+ float complex w;
+
+ x = crealf(z);
+ y = cimagf(z);
+ sx = signbit(x);
+ sy = signbit(y);
+ ax = fabsf(x);
+ ay = fabsf(y);
+
+ if (isnan(x) || isnan(y)) {
+ if (isinf(x))
+ return (CMPLXF(y + y, -INFINITY));
+ if (isinf(y))
+ return (CMPLXF(x + x, -y));
+ if (x == 0)
+ return (CMPLXF(pio2_hi + pio2_lo, y + y));
+ return (CMPLXF(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON) {
+ w = clog_for_large_values(z);
+ rx = fabsf(cimagf(w));
+ ry = crealf(w) + m_ln2;
+ if (sy == 0)
+ ry = -ry;
+ return (CMPLXF(rx, ry));
+ }
+
+ if (x == 1 && y == 0)
+ return (CMPLXF(0, -y));
+
+ raise_inexact();
+
+ if (ax < SQRT_6_EPSILON / 4 && ay < SQRT_6_EPSILON / 4)
+ return (CMPLXF(pio2_hi - (x - pio2_lo), -y));
+
+ do_hard_work(ay, ax, &ry, &B_is_usable, &B, &sqrt_A2mx2, &new_x);
+ if (B_is_usable) {
+ if (sx == 0)
+ rx = acosf(B);
+ else
+ rx = acosf(-B);
+ } else {
+ if (sx == 0)
+ rx = atan2f(sqrt_A2mx2, new_x);
+ else
+ rx = atan2f(sqrt_A2mx2, -new_x);
+ }
+ if (sy == 0)
+ ry = -ry;
+ return (CMPLXF(rx, ry));
+}
+
+float complex
+cacoshf(float complex z)
+{
+ float complex w;
+ float rx, ry;
+
+ w = cacosf(z);
+ rx = crealf(w);
+ ry = cimagf(w);
+ if (isnan(rx) && isnan(ry))
+ return (CMPLXF(ry, rx));
+ if (isnan(rx))
+ return (CMPLXF(fabsf(ry), rx));
+ if (isnan(ry))
+ return (CMPLXF(ry, ry));
+ return (CMPLXF(fabsf(ry), copysignf(rx, cimagf(z))));
+}
+
+static float complex
+clog_for_large_values(float complex z)
+{
+ float x, y;
+ float ax, ay, t;
+
+ x = crealf(z);
+ y = cimagf(z);
+ ax = fabsf(x);
+ ay = fabsf(y);
+ if (ax < ay) {
+ t = ax;
+ ax = ay;
+ ay = t;
+ }
+
+ if (ax > FLT_MAX / 2)
+ return (CMPLXF(logf(hypotf(x / m_e, y / m_e)) + 1,
+ atan2f(y, x)));
+
+ if (ax > QUARTER_SQRT_MAX || ay < SQRT_MIN)
+ return (CMPLXF(logf(hypotf(x, y)), atan2f(y, x)));
+
+ return (CMPLXF(logf(ax * ax + ay * ay) / 2, atan2f(y, x)));
+}
+
+static inline float
+sum_squares(float x, float y)
+{
+
+ if (y < SQRT_MIN)
+ return (x * x);
+
+ return (x * x + y * y);
+}
+
+static inline float
+real_part_reciprocal(float x, float y)
+{
+ float scale;
+ uint32_t hx, hy;
+ int32_t ix, iy;
+
+ GET_FLOAT_WORD(hx, x);
+ ix = hx & 0x7f800000;
+ GET_FLOAT_WORD(hy, y);
+ iy = hy & 0x7f800000;
+#define BIAS (FLT_MAX_EXP - 1)
+#define CUTOFF (FLT_MANT_DIG / 2 + 1)
+ if (ix - iy >= CUTOFF << 23 || isinf(x))
+ return (1 / x);
+ if (iy - ix >= CUTOFF << 23)
+ return (x / y / y);
+ if (ix <= (BIAS + FLT_MAX_EXP / 2 - CUTOFF) << 23)
+ return (x / (x * x + y * y));
+ SET_FLOAT_WORD(scale, 0x7f800000 - ix);
+ x *= scale;
+ y *= scale;
+ return (x / (x * x + y * y) * scale);
+}
+
+float complex
+catanhf(float complex z)
+{
+ float x, y, ax, ay, rx, ry;
+
+ x = crealf(z);
+ y = cimagf(z);
+ ax = fabsf(x);
+ ay = fabsf(y);
+
+ if (y == 0 && ax <= 1)
+ return (CMPLXF(atanhf(x), y));
+
+ if (x == 0)
+ return (CMPLXF(x, atanf(y)));
+
+ if (isnan(x) || isnan(y)) {
+ if (isinf(x))
+ return (CMPLXF(copysignf(0, x), y + y));
+ if (isinf(y))
+ return (CMPLXF(copysignf(0, x),
+ copysignf(pio2_hi + pio2_lo, y)));
+ return (CMPLXF(x + 0.0L + (y + 0), x + 0.0L + (y + 0)));
+ }
+
+ if (ax > RECIP_EPSILON || ay > RECIP_EPSILON)
+ return (CMPLXF(real_part_reciprocal(x, y),
+ copysignf(pio2_hi + pio2_lo, y)));
+
+ if (ax < SQRT_3_EPSILON / 2 && ay < SQRT_3_EPSILON / 2) {
+ raise_inexact();
+ return (z);
+ }
+
+ if (ax == 1 && ay < FLT_EPSILON)
+ rx = (m_ln2 - logf(ay)) / 2;
+ else
+ rx = log1pf(4 * ax / sum_squares(ax - 1, ay)) / 4;
+
+ if (ax == 1)
+ ry = atan2f(2, -ay) / 2;
+ else if (ay < FLT_EPSILON)
+ ry = atan2f(2 * ay, (1 - ax) * (1 + ax)) / 2;
+ else
+ ry = atan2f(2 * ay, (1 - ax) * (1 + ax) - ay * ay) / 2;
+
+ return (CMPLXF(copysignf(rx, x), copysignf(ry, y)));
+}
+
+float complex
+catanf(float complex z)
+{
+ float complex w = catanhf(CMPLXF(cimagf(z), crealf(z)));
+
+ return (CMPLXF(cimagf(w), crealf(w)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acos.c b/libm/upstream-freebsd/lib/msun/src/e_acos.c
new file mode 100644
index 0000000..1f6dca5
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acos.c
@@ -0,0 +1,111 @@
+
+/* @(#)e_acos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_acos(x)
+ * Method :
+ * acos(x) = pi/2 - asin(x)
+ * acos(-x) = pi/2 + asin(x)
+ * For |x|<=0.5
+ * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c)
+ * For x>0.5
+ * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2)))
+ * = 2asin(sqrt((1-x)/2))
+ * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z)
+ * = 2f + (2c + 2s*z*R(z))
+ * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term
+ * for f so that f+c ~ sqrt(z).
+ * For x<-0.5
+ * acos(x) = pi - 2asin(sqrt((1-|x|)/2))
+ * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z)
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ * Function needed: sqrt
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+pio2_hi = 1.57079632679489655800e+00; /* 0x3FF921FB, 0x54442D18 */
+static volatile double
+pio2_lo = 6.12323399573676603587e-17; /* 0x3C91A626, 0x33145C07 */
+static const double
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+double
+__ieee754_acos(double x)
+{
+ double z,p,q,r,w,s,c,df;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3ff00000) { /* |x| >= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==0) { /* |x|==1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+2.0*pio2_lo; /* acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3fe00000) { /* |x| < 0.5 */
+ if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/
+ z = x*x;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*0.5;
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ s = sqrt(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - 2.0*(s+w);
+ } else { /* x > 0.5 */
+ z = (one-x)*0.5;
+ s = sqrt(z);
+ df = s;
+ SET_LOW_WORD(df,0);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5)))));
+ q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4)));
+ r = p/q;
+ w = r*s+c;
+ return 2.0*(df+w);
+ }
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(acos, acosl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acosf.c b/libm/upstream-freebsd/lib/msun/src/e_acosf.c
new file mode 100644
index 0000000..c9f62cc
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acosf.c
@@ -0,0 +1,77 @@
+/* e_acosf.c -- float version of e_acos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0000000000e+00, /* 0x3F800000 */
+pi = 3.1415925026e+00, /* 0x40490fda */
+pio2_hi = 1.5707962513e+00; /* 0x3fc90fda */
+static volatile float
+pio2_lo = 7.5497894159e-08; /* 0x33a22168 */
+static const float
+pS0 = 1.6666586697e-01,
+pS1 = -4.2743422091e-02,
+pS2 = -8.6563630030e-03,
+qS1 = -7.0662963390e-01;
+
+float
+__ieee754_acosf(float x)
+{
+ float z,p,q,r,w,s,c,df;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3f800000) { /* |x| >= 1 */
+ if(ix==0x3f800000) { /* |x| == 1 */
+ if(hx>0) return 0.0; /* acos(1) = 0 */
+ else return pi+(float)2.0*pio2_lo; /* acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(ix<0x3f000000) { /* |x| < 0.5 */
+ if(ix<=0x32800000) return pio2_hi+pio2_lo;/*if|x|<2**-26*/
+ z = x*x;
+ p = z*(pS0+z*(pS1+z*pS2));
+ q = one+z*qS1;
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (hx<0) { /* x < -0.5 */
+ z = (one+x)*(float)0.5;
+ p = z*(pS0+z*(pS1+z*pS2));
+ q = one+z*qS1;
+ s = sqrtf(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - (float)2.0*(s+w);
+ } else { /* x > 0.5 */
+ int32_t idf;
+ z = (one-x)*(float)0.5;
+ s = sqrtf(z);
+ df = s;
+ GET_FLOAT_WORD(idf,df);
+ SET_FLOAT_WORD(df,idf&0xfffff000);
+ c = (z-df*df)/(s+df);
+ p = z*(pS0+z*(pS1+z*pS2));
+ q = one+z*qS1;
+ r = p/q;
+ w = r*s+c;
+ return (float)2.0*(df+w);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acosh.c b/libm/upstream-freebsd/lib/msun/src/e_acosh.c
new file mode 100644
index 0000000..358c8bd
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acosh.c
@@ -0,0 +1,68 @@
+
+/* @(#)e_acosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_acosh(x)
+ * Method :
+ * Based on
+ * acosh(x) = log [ x + sqrt(x*x-1) ]
+ * we have
+ * acosh(x) := log(x)+ln2, if x is large; else
+ * acosh(x) := log(2x-1/(sqrt(x*x-1)+x)) if x>2; else
+ * acosh(x) := log1p(t+sqrt(2.0*t+t*t)); where t=x-1.
+ *
+ * Special cases:
+ * acosh(x) is NaN with signal if x<1.
+ * acosh(NaN) is NaN without signal.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.0,
+ln2 = 6.93147180559945286227e-01; /* 0x3FE62E42, 0xFEFA39EF */
+
+double
+__ieee754_acosh(double x)
+{
+ double t;
+ int32_t hx;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ if(hx<0x3ff00000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x41b00000) { /* x > 2**28 */
+ if(hx >=0x7ff00000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_log(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if(((hx-0x3ff00000)|lx)==0) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_log(2.0*x-one/(x+sqrt(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return log1p(t+sqrt(2.0*t+t*t));
+ }
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(acosh, acoshl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acoshf.c b/libm/upstream-freebsd/lib/msun/src/e_acoshf.c
new file mode 100644
index 0000000..f529b20
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acoshf.c
@@ -0,0 +1,48 @@
+/* e_acoshf.c -- float version of e_acosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0,
+ln2 = 6.9314718246e-01; /* 0x3f317218 */
+
+float
+__ieee754_acoshf(float x)
+{
+ float t;
+ int32_t hx;
+ GET_FLOAT_WORD(hx,x);
+ if(hx<0x3f800000) { /* x < 1 */
+ return (x-x)/(x-x);
+ } else if(hx >=0x4d800000) { /* x > 2**28 */
+ if(hx >=0x7f800000) { /* x is inf of NaN */
+ return x+x;
+ } else
+ return __ieee754_logf(x)+ln2; /* acosh(huge)=log(2x) */
+ } else if (hx==0x3f800000) {
+ return 0.0; /* acosh(1) = 0 */
+ } else if (hx > 0x40000000) { /* 2**28 > x > 2 */
+ t=x*x;
+ return __ieee754_logf((float)2.0*x-one/(x+__ieee754_sqrtf(t-one)));
+ } else { /* 1<x<2 */
+ t = x-one;
+ return log1pf(t+__ieee754_sqrtf((float)2.0*t+t*t));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acoshl.c b/libm/upstream-freebsd/lib/msun/src/e_acoshl.c
new file mode 100644
index 0000000..b9f3aed
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acoshl.c
@@ -0,0 +1,89 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)e_acosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_acosh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_LARGE is the threshold above which we use acosh(x) ~= log(2x). */
+#if LDBL_MANT_DIG == 64
+#define EXP_LARGE 34
+#elif LDBL_MANT_DIG == 113
+#define EXP_LARGE 58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const double
+one = 1.0;
+
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define ln2 u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+acoshl(long double x)
+{
+ long double t;
+ int16_t hx;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ if (hx < 0x3fff) { /* x < 1, or misnormal */
+ RETURNI((x-x)/(x-x));
+ } else if (hx >= BIAS + EXP_LARGE) { /* x >= LARGE */
+ if (hx >= 0x7fff) { /* x is inf, NaN or misnormal */
+ RETURNI(x+x);
+ } else
+ RETURNI(logl(x)+ln2); /* acosh(huge)=log(2x), or misnormal */
+ } else if (hx == 0x3fff && x == 1) {
+ RETURNI(0.0); /* acosh(1) = 0 */
+ } else if (hx >= 0x4000) { /* LARGE > x >= 2, or misnormal */
+ t=x*x;
+ RETURNI(logl(2.0*x-one/(x+sqrtl(t-one))));
+ } else { /* 1<x<2 */
+ t = x-one;
+ RETURNI(log1pl(t+sqrtl(2.0*t+t*t)));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_acosl.c b/libm/upstream-freebsd/lib/msun/src/e_acosl.c
new file mode 100644
index 0000000..d33c8fe
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_acosl.c
@@ -0,0 +1,87 @@
+
+/* @(#)e_acos.c 1.3 95/01/18 */
+/* FreeBSD: head/lib/msun/src/e_acos.c 176451 2008-02-22 02:30:36Z das */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See comments in e_acos.c.
+ * Converted to long double by David Schultz <das@FreeBSD.ORG>.
+ */
+
+#include <float.h>
+
+#include "invtrig.h"
+#include "math.h"
+#include "math_private.h"
+
+static const long double
+one= 1.00000000000000000000e+00;
+
+#ifdef __i386__
+/* XXX Work around the fact that gcc truncates long double constants on i386 */
+static volatile double
+pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */
+pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */
+#define pi ((long double)pi1 + pi2)
+#else
+static const long double
+pi = 3.14159265358979323846264338327950280e+00L;
+#endif
+
+long double
+acosl(long double x)
+{
+ union IEEEl2bits u;
+ long double z,p,q,r,w,s,c,df;
+ int16_t expsign, expt;
+ u.e = x;
+ expsign = u.xbits.expsign;
+ expt = expsign & 0x7fff;
+ if(expt >= BIAS) { /* |x| >= 1 */
+ if(expt==BIAS && ((u.bits.manh&~LDBL_NBIT)|u.bits.manl)==0) {
+ if (expsign>0) return 0.0; /* acos(1) = 0 */
+ else return pi+2.0*pio2_lo; /* acos(-1)= pi */
+ }
+ return (x-x)/(x-x); /* acos(|x|>1) is NaN */
+ }
+ if(expt<BIAS-1) { /* |x| < 0.5 */
+ if(expt<ACOS_CONST) return pio2_hi+pio2_lo;/*x tiny: acosl=pi/2*/
+ z = x*x;
+ p = P(z);
+ q = Q(z);
+ r = p/q;
+ return pio2_hi - (x - (pio2_lo-x*r));
+ } else if (expsign<0) { /* x < -0.5 */
+ z = (one+x)*0.5;
+ p = P(z);
+ q = Q(z);
+ s = sqrtl(z);
+ r = p/q;
+ w = r*s-pio2_lo;
+ return pi - 2.0*(s+w);
+ } else { /* x > 0.5 */
+ z = (one-x)*0.5;
+ s = sqrtl(z);
+ u.e = s;
+ u.bits.manl = 0;
+ df = u.e;
+ c = (z-df*df)/(s+df);
+ p = P(z);
+ q = Q(z);
+ r = p/q;
+ w = r*s+c;
+ return 2.0*(df+w);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_asin.c b/libm/upstream-freebsd/lib/msun/src/e_asin.c
new file mode 100644
index 0000000..27de207
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_asin.c
@@ -0,0 +1,117 @@
+
+/* @(#)e_asin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_asin(x)
+ * Method :
+ * Since asin(x) = x + x^3/6 + x^5*3/40 + x^7*15/336 + ...
+ * we approximate asin(x) on [0,0.5] by
+ * asin(x) = x + x*x^2*R(x^2)
+ * where
+ * R(x^2) is a rational approximation of (asin(x)-x)/x^3
+ * and its remez error is bounded by
+ * |(asin(x)-x)/x^3 - R(x^2)| < 2^(-58.75)
+ *
+ * For x in [0.5,1]
+ * asin(x) = pi/2-2*asin(sqrt((1-x)/2))
+ * Let y = (1-x), z = y/2, s := sqrt(z), and pio2_hi+pio2_lo=pi/2;
+ * then for x>0.98
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio2_hi - (2*(s+s*z*R(z)) - pio2_lo)
+ * For x<=0.98, let pio4_hi = pio2_hi/2, then
+ * f = hi part of s;
+ * c = sqrt(z) - f = (z-f*f)/(s+f) ...f+c=sqrt(z)
+ * and
+ * asin(x) = pi/2 - 2*(s+s*z*R(z))
+ * = pio4_hi+(pio4-2s)-(2s*z*R(z)-pio2_lo)
+ * = pio4_hi+(pio4-2f)-(2s*z*R(z)-(pio2_lo+2c))
+ *
+ * Special cases:
+ * if x is NaN, return x itself;
+ * if |x|>1, return NaN with invalid signal.
+ *
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+huge = 1.000e+300,
+pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */
+pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */
+pio4_hi = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
+ /* coefficient for R(x^2) */
+pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */
+pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */
+pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */
+pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */
+pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */
+pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */
+qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */
+qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */
+qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */
+qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */
+
+double
+__ieee754_asin(double x)
+{
+ double t=0.0,w,p,q,c,r,s;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>= 0x3ff00000) { /* |x|>= 1 */
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((ix-0x3ff00000)|lx)==0)
+ /* asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (ix<0x3fe00000) { /* |x|<0.5 */
+ if(ix<0x3e500000) { /* if |x| < 2**-26 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ }
+ t = x*x;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabs(x);
+ t = w*0.5;
+ p = t*(pS0+t*(pS1+t*(pS2+t*(pS3+t*(pS4+t*pS5)))));
+ q = one+t*(qS1+t*(qS2+t*(qS3+t*qS4)));
+ s = sqrt(t);
+ if(ix>=0x3FEF3333) { /* if |x| > 0.975 */
+ w = p/q;
+ t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+ } else {
+ w = s;
+ SET_LOW_WORD(w,0);
+ c = (t-w*w)/(s+w);
+ r = p/q;
+ p = 2.0*s*r-(pio2_lo-2.0*c);
+ q = pio4_hi-2.0*w;
+ t = pio4_hi-(p-q);
+ }
+ if(hx>0) return t; else return -t;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(asin, asinl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_asinf.c b/libm/upstream-freebsd/lib/msun/src/e_asinf.c
new file mode 100644
index 0000000..deaabb6
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_asinf.c
@@ -0,0 +1,65 @@
+/* e_asinf.c -- float version of e_asin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0000000000e+00, /* 0x3F800000 */
+huge = 1.000e+30,
+ /* coefficient for R(x^2) */
+pS0 = 1.6666586697e-01,
+pS1 = -4.2743422091e-02,
+pS2 = -8.6563630030e-03,
+qS1 = -7.0662963390e-01;
+
+static const double
+pio2 = 1.570796326794896558e+00;
+
+float
+__ieee754_asinf(float x)
+{
+ double s;
+ float t,w,p,q;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x3f800000) { /* |x| >= 1 */
+ if(ix==0x3f800000) /* |x| == 1 */
+ return x*pio2; /* asin(+-1) = +-pi/2 with inexact */
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (ix<0x3f000000) { /* |x|<0.5 */
+ if(ix<0x39800000) { /* |x| < 2**-12 */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ }
+ t = x*x;
+ p = t*(pS0+t*(pS1+t*pS2));
+ q = one+t*qS1;
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabsf(x);
+ t = w*(float)0.5;
+ p = t*(pS0+t*(pS1+t*pS2));
+ q = one+t*qS1;
+ s = sqrt(t);
+ w = p/q;
+ t = pio2-2.0*(s+s*w);
+ if(hx>0) return t; else return -t;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_asinl.c b/libm/upstream-freebsd/lib/msun/src/e_asinl.c
new file mode 100644
index 0000000..a85765f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_asinl.c
@@ -0,0 +1,77 @@
+
+/* @(#)e_asin.c 1.3 95/01/18 */
+/* FreeBSD: head/lib/msun/src/e_asin.c 176451 2008-02-22 02:30:36Z das */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See comments in e_asin.c.
+ * Converted to long double by David Schultz <das@FreeBSD.ORG>.
+ */
+
+#include <float.h>
+
+#include "invtrig.h"
+#include "math.h"
+#include "math_private.h"
+
+static const long double
+one = 1.00000000000000000000e+00,
+huge = 1.000e+300;
+
+long double
+asinl(long double x)
+{
+ union IEEEl2bits u;
+ long double t=0.0,w,p,q,c,r,s;
+ int16_t expsign, expt;
+ u.e = x;
+ expsign = u.xbits.expsign;
+ expt = expsign & 0x7fff;
+ if(expt >= BIAS) { /* |x|>= 1 */
+ if(expt==BIAS && ((u.bits.manh&~LDBL_NBIT)|u.bits.manl)==0)
+ /* asin(1)=+-pi/2 with inexact */
+ return x*pio2_hi+x*pio2_lo;
+ return (x-x)/(x-x); /* asin(|x|>1) is NaN */
+ } else if (expt<BIAS-1) { /* |x|<0.5 */
+ if(expt<ASIN_LINEAR) { /* if |x| is small, asinl(x)=x */
+ if(huge+x>one) return x;/* return x with inexact if x!=0*/
+ }
+ t = x*x;
+ p = P(t);
+ q = Q(t);
+ w = p/q;
+ return x+x*w;
+ }
+ /* 1> |x|>= 0.5 */
+ w = one-fabsl(x);
+ t = w*0.5;
+ p = P(t);
+ q = Q(t);
+ s = sqrtl(t);
+ if(u.bits.manh>=THRESH) { /* if |x| is close to 1 */
+ w = p/q;
+ t = pio2_hi-(2.0*(s+s*w)-pio2_lo);
+ } else {
+ u.e = s;
+ u.bits.manl = 0;
+ w = u.e;
+ c = (t-w*w)/(s+w);
+ r = p/q;
+ p = 2.0*s*r-(pio2_lo-2.0*c);
+ q = pio4_hi-2.0*w;
+ t = pio4_hi-(p-q);
+ }
+ if(expsign>0) return t; else return -t;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atan2.c b/libm/upstream-freebsd/lib/msun/src/e_atan2.c
new file mode 100644
index 0000000..a4a985b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atan2.c
@@ -0,0 +1,129 @@
+
+/* @(#)e_atan2.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_atan2(y,x)
+ * Method :
+ * 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
+ * 2. Reduce x to positive by (if x and y are unexceptional):
+ * ARG (x+iy) = arctan(y/x) ... if x > 0,
+ * ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
+ *
+ * Special cases:
+ *
+ * ATAN2((anything), NaN ) is NaN;
+ * ATAN2(NAN , (anything) ) is NaN;
+ * ATAN2(+-0, +(anything but NaN)) is +-0 ;
+ * ATAN2(+-0, -(anything but NaN)) is +-pi ;
+ * ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
+ * ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
+ * ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
+ * ATAN2(+-INF,+INF ) is +-pi/4 ;
+ * ATAN2(+-INF,-INF ) is +-3pi/4;
+ * ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static volatile double
+tiny = 1.0e-300;
+static const double
+zero = 0.0,
+pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
+pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
+pi = 3.1415926535897931160E+00; /* 0x400921FB, 0x54442D18 */
+static volatile double
+pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
+
+double
+__ieee754_atan2(double y, double x)
+{
+ double z;
+ int32_t k,m,hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ EXTRACT_WORDS(hy,ly,y);
+ iy = hy&0x7fffffff;
+ if(((ix|((lx|-lx)>>31))>0x7ff00000)||
+ ((iy|((ly|-ly)>>31))>0x7ff00000)) /* x or y is NaN */
+ return x+y;
+ if((hx-0x3ff00000|lx)==0) return atan(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if((iy|ly)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if((ix|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7ff00000) {
+ if(iy==0x7ff00000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return -3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>20;
+ if(k > 60) { /* |y/x| > 2**60 */
+ z=pi_o_2+0.5*pi_lo;
+ m&=1;
+ }
+ else if(hx<0&&k<-60) z=0.0; /* 0 > |y|/x > -2**-60 */
+ else z=atan(fabs(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: return -z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(atan2, atan2l);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atan2f.c b/libm/upstream-freebsd/lib/msun/src/e_atan2f.c
new file mode 100644
index 0000000..fc77bff
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atan2f.c
@@ -0,0 +1,96 @@
+/* e_atan2f.c -- float version of e_atan2.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static volatile float
+tiny = 1.0e-30;
+static const float
+zero = 0.0,
+pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
+pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
+pi = 3.1415927410e+00; /* 0x40490fdb */
+static volatile float
+pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
+
+float
+__ieee754_atan2f(float y, float x)
+{
+ float z;
+ int32_t k,m,hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ GET_FLOAT_WORD(hy,y);
+ iy = hy&0x7fffffff;
+ if((ix>0x7f800000)||
+ (iy>0x7f800000)) /* x or y is NaN */
+ return x+y;
+ if(hx==0x3f800000) return atanf(y); /* x=1.0 */
+ m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if(iy==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* when x is INF */
+ if(ix==0x7f800000) {
+ if(iy==0x7f800000) {
+ switch(m) {
+ case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
+ case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
+ case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
+ case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
+
+ /* compute y/x */
+ k = (iy-ix)>>23;
+ if(k > 26) { /* |y/x| > 2**26 */
+ z=pi_o_2+(float)0.5*pi_lo;
+ m&=1;
+ }
+ else if(k<-26&&hx<0) z=0.0; /* 0 > |y|/x > -2**-26 */
+ else z=atanf(fabsf(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: return -z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atan2l.c b/libm/upstream-freebsd/lib/msun/src/e_atan2l.c
new file mode 100644
index 0000000..0326482
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atan2l.c
@@ -0,0 +1,120 @@
+
+/* @(#)e_atan2.c 1.3 95/01/18 */
+/* FreeBSD: head/lib/msun/src/e_atan2.c 176451 2008-02-22 02:30:36Z das */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See comments in e_atan2.c.
+ * Converted to long double by David Schultz <das@FreeBSD.ORG>.
+ */
+
+#include <float.h>
+
+#include "invtrig.h"
+#include "math.h"
+#include "math_private.h"
+
+static volatile long double
+tiny = 1.0e-300;
+static const long double
+zero = 0.0;
+
+#ifdef __i386__
+/* XXX Work around the fact that gcc truncates long double constants on i386 */
+static volatile double
+pi1 = 3.14159265358979311600e+00, /* 0x1.921fb54442d18p+1 */
+pi2 = 1.22514845490862001043e-16; /* 0x1.1a80000000000p-53 */
+#define pi ((long double)pi1 + pi2)
+#else
+static const long double
+pi = 3.14159265358979323846264338327950280e+00L;
+#endif
+
+long double
+atan2l(long double y, long double x)
+{
+ union IEEEl2bits ux, uy;
+ long double z;
+ int32_t k,m;
+ int16_t exptx, expsignx, expty, expsigny;
+
+ uy.e = y;
+ expsigny = uy.xbits.expsign;
+ expty = expsigny & 0x7fff;
+ ux.e = x;
+ expsignx = ux.xbits.expsign;
+ exptx = expsignx & 0x7fff;
+
+ if ((exptx==BIAS+LDBL_MAX_EXP &&
+ ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)!=0) || /* x is NaN */
+ (expty==BIAS+LDBL_MAX_EXP &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)!=0)) /* y is NaN */
+ return x+y;
+ if (expsignx==BIAS && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0)
+ return atanl(y); /* x=1.0 */
+ m = ((expsigny>>15)&1)|((expsignx>>14)&2); /* 2*sign(x)+sign(y) */
+
+ /* when y = 0 */
+ if(expty==0 && ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)==0) {
+ switch(m) {
+ case 0:
+ case 1: return y; /* atan(+-0,+anything)=+-0 */
+ case 2: return pi+tiny;/* atan(+0,-anything) = pi */
+ case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
+ }
+ }
+ /* when x = 0 */
+ if(exptx==0 && ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl)==0)
+ return (expsigny<0)? -pio2_hi-tiny: pio2_hi+tiny;
+
+ /* when x is INF */
+ if(exptx==BIAS+LDBL_MAX_EXP) {
+ if(expty==BIAS+LDBL_MAX_EXP) {
+ switch(m) {
+ case 0: return pio2_hi*0.5+tiny;/* atan(+INF,+INF) */
+ case 1: return -pio2_hi*0.5-tiny;/* atan(-INF,+INF) */
+ case 2: return 1.5*pio2_hi+tiny;/*atan(+INF,-INF)*/
+ case 3: return -1.5*pio2_hi-tiny;/*atan(-INF,-INF)*/
+ }
+ } else {
+ switch(m) {
+ case 0: return zero ; /* atan(+...,+INF) */
+ case 1: return -zero ; /* atan(-...,+INF) */
+ case 2: return pi+tiny ; /* atan(+...,-INF) */
+ case 3: return -pi-tiny ; /* atan(-...,-INF) */
+ }
+ }
+ }
+ /* when y is INF */
+ if(expty==BIAS+LDBL_MAX_EXP)
+ return (expsigny<0)? -pio2_hi-tiny: pio2_hi+tiny;
+
+ /* compute y/x */
+ k = expty-exptx;
+ if(k > LDBL_MANT_DIG+2) { /* |y/x| huge */
+ z=pio2_hi+pio2_lo;
+ m&=1;
+ }
+ else if(expsignx<0&&k<-LDBL_MANT_DIG-2) z=0.0; /* |y/x| tiny, x<0 */
+ else z=atanl(fabsl(y/x)); /* safe to do y/x */
+ switch (m) {
+ case 0: return z ; /* atan(+,+) */
+ case 1: return -z ; /* atan(-,+) */
+ case 2: return pi-(z-pi_lo);/* atan(+,-) */
+ default: /* case 3 */
+ return (z-pi_lo)-pi;/* atan(-,-) */
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atanh.c b/libm/upstream-freebsd/lib/msun/src/e_atanh.c
new file mode 100644
index 0000000..422ff26
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atanh.c
@@ -0,0 +1,68 @@
+
+/* @(#)e_atanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_atanh(x)
+ * Method :
+ * 1.Reduced x to positive by atanh(-x) = -atanh(x)
+ * 2.For x>=0.5
+ * 1 2x x
+ * atanh(x) = --- * log(1 + -------) = 0.5 * log1p(2 * --------)
+ * 2 1 - x 1 - x
+ *
+ * For x<0.5
+ * atanh(x) = 0.5*log1p(2x+2x*x/(1-x))
+ *
+ * Special cases:
+ * atanh(x) is NaN if |x| > 1 with signal;
+ * atanh(NaN) is that NaN with no signal;
+ * atanh(+-1) is +-INF with signal.
+ *
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, huge = 1e300;
+static const double zero = 0.0;
+
+double
+__ieee754_atanh(double x)
+{
+ double t;
+ int32_t hx,ix;
+ u_int32_t lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff;
+ if ((ix|((lx|(-lx))>>31))>0x3ff00000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3ff00000)
+ return x/zero;
+ if(ix<0x3e300000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_HIGH_WORD(x,ix);
+ if(ix<0x3fe00000) { /* x < 0.5 */
+ t = x+x;
+ t = 0.5*log1p(t+t*x/(one-x));
+ } else
+ t = 0.5*log1p((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(atanh, atanhl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atanhf.c b/libm/upstream-freebsd/lib/msun/src/e_atanhf.c
new file mode 100644
index 0000000..4bd6a8f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atanhf.c
@@ -0,0 +1,45 @@
+/* e_atanhf.c -- float version of e_atanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0, huge = 1e30;
+
+static const float zero = 0.0;
+
+float
+__ieee754_atanhf(float x)
+{
+ float t;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if (ix>0x3f800000) /* |x|>1 */
+ return (x-x)/(x-x);
+ if(ix==0x3f800000)
+ return x/zero;
+ if(ix<0x31800000&&(huge+x)>zero) return x; /* x<2**-28 */
+ SET_FLOAT_WORD(x,ix);
+ if(ix<0x3f000000) { /* x < 0.5 */
+ t = x+x;
+ t = (float)0.5*log1pf(t+t*x/(one-x));
+ } else
+ t = (float)0.5*log1pf((x+x)/(one-x));
+ if(hx>=0) return t; else return -t;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_atanhl.c b/libm/upstream-freebsd/lib/msun/src/e_atanhl.c
new file mode 100644
index 0000000..11d56ea
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_atanhl.c
@@ -0,0 +1,74 @@
+/* from: FreeBSD: head/lib/msun/src/e_atanh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)e_atanh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_atanh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_TINY is the threshold below which we use atanh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define EXP_TINY -34
+#elif LDBL_MANT_DIG == 113
+#define EXP_TINY -58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const double one = 1.0, huge = 1e300;
+static const double zero = 0.0;
+
+long double
+atanhl(long double x)
+{
+ long double t;
+ uint16_t hx, ix;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ ix = hx & 0x7fff;
+ if (ix >= 0x3fff) /* |x| >= 1, or NaN or misnormal */
+ RETURNI(fabsl(x) == 1 ? x / zero : (x - x) / (x - x));
+ if (ix < BIAS + EXP_TINY && (huge + x) > zero)
+ RETURNI(x); /* x is tiny */
+ SET_LDBL_EXPSIGN(x, ix);
+ if (ix < 0x3ffe) { /* |x| < 0.5, or misnormal */
+ t = x+x;
+ t = 0.5*log1pl(t+t*x/(one-x));
+ } else
+ t = 0.5*log1pl((x+x)/(one-x));
+ RETURNI((hx & 0x8000) == 0 ? t : -t);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_cosh.c b/libm/upstream-freebsd/lib/msun/src/e_cosh.c
new file mode 100644
index 0000000..246b5fb
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_cosh.c
@@ -0,0 +1,85 @@
+
+/* @(#)e_cosh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_cosh(x)
+ * Method :
+ * mathematically cosh(x) if defined to be (exp(x)+exp(-x))/2
+ * 1. Replace x by |x| (cosh(x) = cosh(-x)).
+ * 2.
+ * [ exp(x) - 1 ]^2
+ * 0 <= x <= ln2/2 : cosh(x) := 1 + -------------------
+ * 2*exp(x)
+ *
+ * exp(x) + 1/exp(x)
+ * ln2/2 <= x <= 22 : cosh(x) := -------------------
+ * 2
+ * 22 <= x <= lnovft : cosh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: cosh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : cosh(x) := huge*huge (overflow)
+ *
+ * Special cases:
+ * cosh(x) is |x| if x is +INF, -INF, or NaN.
+ * only cosh(0)=1 is exact for finite x.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, half=0.5, huge = 1.0e300;
+
+double
+__ieee754_cosh(double x)
+{
+ double t,w;
+ int32_t ix;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3fd62e43) {
+ t = expm1(fabs(x));
+ w = one+t;
+ if (ix<0x3c800000) return w; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,22], return (exp(|x|)+1/exp(|x|)/2; */
+ if (ix < 0x40360000) {
+ t = __ieee754_exp(fabs(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [22, log(maxdouble)] return half*exp(|x|) */
+ if (ix < 0x40862E42) return half*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x408633CE)
+ return __ldexp_exp(fabs(x), -1);
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(cosh, coshl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_coshf.c b/libm/upstream-freebsd/lib/msun/src/e_coshf.c
new file mode 100644
index 0000000..95a0d6e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_coshf.c
@@ -0,0 +1,59 @@
+/* e_coshf.c -- float version of e_cosh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0, half=0.5, huge = 1.0e30;
+
+float
+__ieee754_coshf(float x)
+{
+ float t,w;
+ int32_t ix;
+
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x*x;
+
+ /* |x| in [0,0.5*ln2], return 1+expm1(|x|)^2/(2*exp(|x|)) */
+ if(ix<0x3eb17218) {
+ t = expm1f(fabsf(x));
+ w = one+t;
+ if (ix<0x39800000) return one; /* cosh(tiny) = 1 */
+ return one+(t*t)/(w+w);
+ }
+
+ /* |x| in [0.5*ln2,9], return (exp(|x|)+1/exp(|x|))/2; */
+ if (ix < 0x41100000) {
+ t = __ieee754_expf(fabsf(x));
+ return half*t+half/t;
+ }
+
+ /* |x| in [9, log(maxfloat)] return half*exp(|x|) */
+ if (ix < 0x42b17217) return half*__ieee754_expf(fabsf(x));
+
+ /* |x| in [log(maxfloat), overflowthresold] */
+ if (ix<=0x42b2d4fc)
+ return __ldexp_expf(fabsf(x), -1);
+
+ /* |x| > overflowthresold, cosh(x) overflow */
+ return huge*huge;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_coshl.c b/libm/upstream-freebsd/lib/msun/src/e_coshl.c
new file mode 100644
index 0000000..0a21277
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_coshl.c
@@ -0,0 +1,130 @@
+/* from: FreeBSD: head/lib/msun/src/e_coshl.c XXX */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_cosh.c for complete comments.
+ *
+ * Converted to long double by Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+#include "k_expl.h"
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const volatile long double huge = 0x1p10000L, tiny = 0x1p-10000L;
+#if LDBL_MANT_DIG == 64
+/*
+ * Domain [-1, 1], range ~[-1.8211e-21, 1.8211e-21]:
+ * |cosh(x) - c(x)| < 2**-68.8
+ */
+static const union IEEEl2bits
+C4u = LD80C(0xaaaaaaaaaaaaac78, -5, 4.16666666666666682297e-2L);
+#define C4 C4u.e
+static const double
+C2 = 0.5,
+C6 = 1.3888888888888616e-3, /* 0x16c16c16c16b99.0p-62 */
+C8 = 2.4801587301767953e-5, /* 0x1a01a01a027061.0p-68 */
+C10 = 2.7557319163300398e-7, /* 0x127e4fb6c9b55f.0p-74 */
+C12 = 2.0876768371393075e-9, /* 0x11eed99406a3f4.0p-81 */
+C14 = 1.1469537039374480e-11, /* 0x1938c67cd18c48.0p-89 */
+C16 = 4.8473490896852041e-14; /* 0x1b49c429701e45.0p-97 */
+#elif LDBL_MANT_DIG == 113
+/*
+ * Domain [-1, 1], range ~[-2.3194e-37, 2.3194e-37]:
+ * |cosh(x) - c(x)| < 2**-121.69
+ */
+static const long double
+C4 = 4.16666666666666666666666666666666225e-2L, /* 0x1555555555555555555555555554e.0p-117L */
+C6 = 1.38888888888888888888888888889434831e-3L, /* 0x16c16c16c16c16c16c16c16c1dd7a.0p-122L */
+C8 = 2.48015873015873015873015871870962089e-5L, /* 0x1a01a01a01a01a01a01a017af2756.0p-128L */
+C10 = 2.75573192239858906525574318600800201e-7L, /* 0x127e4fb7789f5c72ef01c8a040640.0p-134L */
+C12 = 2.08767569878680989791444691755468269e-9L, /* 0x11eed8eff8d897b543d0679607399.0p-141L */
+C14= 1.14707455977297247387801189650495351e-11L, /* 0x193974a8c07c9d24ae169a7fa9b54.0p-149L */
+C16 = 4.77947733238737883626416876486279985e-14L; /* 0x1ae7f3e733b814d4e1b90f5727fe4.0p-157L */
+static const double
+C2 = 0.5,
+C18 = 1.5619206968597871e-16, /* 0x16827863b9900b.0p-105 */
+C20 = 4.1103176218528049e-19, /* 0x1e542ba3d3c269.0p-114 */
+C22 = 8.8967926401641701e-22, /* 0x10ce399542a014.0p-122 */
+C24 = 1.6116681626523904e-24, /* 0x1f2c981d1f0cb7.0p-132 */
+C26 = 2.5022374732804632e-27; /* 0x18c7ecf8b2c4a0.0p-141 */
+#else
+#error "Unsupported long double format"
+#endif /* LDBL_MANT_DIG == 64 */
+
+/* log(2**16385 - 0.5) rounded up: */
+static const float
+o_threshold = 1.13572168e4; /* 0xb174de.0p-10 */
+
+long double
+coshl(long double x)
+{
+ long double hi,lo,x2,x4;
+ double dx2;
+ uint16_t ix;
+
+ GET_LDBL_EXPSIGN(ix,x);
+ ix &= 0x7fff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7fff) return x*x;
+
+ ENTERI();
+
+ /* |x| < 1, return 1 or c(x) */
+ if(ix<0x3fff) {
+ if (ix<BIAS-(LDBL_MANT_DIG+1)/2) /* |x| < TINY */
+ RETURNI(1+tiny); /* cosh(tiny) = 1(+) with inexact */
+ x2 = x*x;
+#if LDBL_MANT_DIG == 64
+ x4 = x2*x2;
+ RETURNI(((C16*x2 + C14)*x4 + (C12*x2 + C10))*(x4*x4*x2) +
+ ((C8*x2 + C6)*x2 + C4)*x4 + C2*x2 + 1);
+#elif LDBL_MANT_DIG == 113
+ dx2 = x2;
+ RETURNI((((((((((((C26*dx2 + C24)*dx2 + C22)*dx2 +
+ C20)*x2 + C18)*x2 +
+ C16)*x2 + C14)*x2 + C12)*x2 + C10)*x2 + C8)*x2 + C6)*x2 +
+ C4)*(x2*x2) + C2*x2 + 1);
+#endif
+ }
+
+ /* |x| in [1, 64), return accurate exp(|x|)/2+1/exp(|x|)/2 */
+ if (ix < 0x4005) {
+ k_hexpl(fabsl(x), &hi, &lo);
+ RETURNI(lo + 0.25/(hi + lo) + hi);
+ }
+
+ /* |x| in [64, o_threshold], return correctly-overflowing exp(|x|)/2 */
+ if (fabsl(x) <= o_threshold)
+ RETURNI(hexpl(fabsl(x)));
+
+ /* |x| > o_threshold, cosh(x) overflow */
+ RETURNI(huge*huge);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_exp.c b/libm/upstream-freebsd/lib/msun/src/e_exp.c
new file mode 100644
index 0000000..94c9769
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_exp.c
@@ -0,0 +1,164 @@
+
+/* @(#)e_exp.c 1.6 04/04/22 */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_exp(x)
+ * Returns the exponential of x.
+ *
+ * Method
+ * 1. Argument reduction:
+ * Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658.
+ * Given x, find r and integer k such that
+ *
+ * x = k*ln2 + r, |r| <= 0.5*ln2.
+ *
+ * Here r will be represented as r = hi-lo for better
+ * accuracy.
+ *
+ * 2. Approximation of exp(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Write
+ * R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
+ * We use a special Remes algorithm on [0,0.34658] to generate
+ * a polynomial of degree 5 to approximate R. The maximum error
+ * of this polynomial approximation is bounded by 2**-59. In
+ * other words,
+ * R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
+ * (where z=r*r, and the values of P1 to P5 are listed below)
+ * and
+ * | 5 | -59
+ * | 2.0+P1*z+...+P5*z - R(z) | <= 2
+ * | |
+ * The computation of exp(r) thus becomes
+ * 2*r
+ * exp(r) = 1 + -------
+ * R - r
+ * r*R1(r)
+ * = 1 + r + ----------- (for better accuracy)
+ * 2 - R1(r)
+ * where
+ * 2 4 10
+ * R1(r) = r - (P1*r + P2*r + ... + P5*r ).
+ *
+ * 3. Scale back to obtain exp(x):
+ * From step 1, we have
+ * exp(x) = 2^k * exp(r)
+ *
+ * Special cases:
+ * exp(INF) is INF, exp(NaN) is NaN;
+ * exp(-INF) is 0, and
+ * for finite argument, only exp(0)=1 is exact.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Misc. info.
+ * For IEEE double
+ * if x > 7.09782712893383973096e+02 then exp(x) overflow
+ * if x < -7.45133219101941108420e+02 then exp(x) underflow
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
+u_threshold= -7.45133219101941108420e+02, /* 0xc0874910, 0xD52D3051 */
+ln2HI[2] ={ 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
+ -6.93147180369123816490e-01,},/* 0xbfe62e42, 0xfee00000 */
+ln2LO[2] ={ 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
+ -1.90821492927058770002e-10,},/* 0xbdea39ef, 0x35793c76 */
+invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
+
+static volatile double
+huge = 1.0e+300,
+twom1000= 9.33263618503218878990e-302; /* 2**-1000=0x01700000,0*/
+
+double
+__ieee754_exp(double x) /* default IEEE double exp */
+{
+ double y,hi=0.0,lo=0.0,c,t,twopk;
+ int32_t k=0,xsb;
+ u_int32_t hx;
+
+ GET_HIGH_WORD(hx,x);
+ xsb = (hx>>31)&1; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out non-finite argument */
+ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
+ if(hx>=0x7ff00000) {
+ u_int32_t lx;
+ GET_LOW_WORD(lx,x);
+ if(((hx&0xfffff)|lx)!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
+ }
+ if(x > o_threshold) return huge*huge; /* overflow */
+ if(x < u_threshold) return twom1000*twom1000; /* underflow */
+ }
+
+ /* argument reduction */
+ if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+ } else {
+ k = (int)(invln2*x+halF[xsb]);
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ STRICT_ASSIGN(double, x, hi - lo);
+ }
+ else if(hx < 0x3e300000) { /* when |x|<2**-28 */
+ if(huge+x>one) return one+x;/* trigger inexact */
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ t = x*x;
+ if(k >= -1021)
+ INSERT_WORDS(twopk,0x3ff00000+(k<<20), 0);
+ else
+ INSERT_WORDS(twopk,0x3ff00000+((k+1000)<<20), 0);
+ c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ if(k==0) return one-((x*c)/(c-2.0)-x);
+ else y = one-((lo-(x*c)/(2.0-c))-hi);
+ if(k >= -1021) {
+ if (k==1024) return y*2.0*0x1p1023;
+ return y*twopk;
+ } else {
+ return y*twopk*twom1000;
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(exp, expl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_expf.c b/libm/upstream-freebsd/lib/msun/src/e_expf.c
new file mode 100644
index 0000000..b1fe2c5
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_expf.c
@@ -0,0 +1,98 @@
+/* e_expf.c -- float version of e_exp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+o_threshold= 8.8721679688e+01, /* 0x42b17180 */
+u_threshold= -1.0397208405e+02, /* 0xc2cff1b5 */
+ln2HI[2] ={ 6.9314575195e-01, /* 0x3f317200 */
+ -6.9314575195e-01,}, /* 0xbf317200 */
+ln2LO[2] ={ 1.4286067653e-06, /* 0x35bfbe8e */
+ -1.4286067653e-06,}, /* 0xb5bfbe8e */
+invln2 = 1.4426950216e+00, /* 0x3fb8aa3b */
+/*
+ * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]:
+ * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74
+ */
+P1 = 1.6666625440e-1, /* 0xaaaa8f.0p-26 */
+P2 = -2.7667332906e-3; /* -0xb55215.0p-32 */
+
+static volatile float
+huge = 1.0e+30,
+twom100 = 7.8886090522e-31; /* 2**-100=0x0d800000 */
+
+float
+__ieee754_expf(float x)
+{
+ float y,hi=0.0,lo=0.0,c,t,twopk;
+ int32_t k=0,xsb;
+ u_int32_t hx;
+
+ GET_FLOAT_WORD(hx,x);
+ xsb = (hx>>31)&1; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out non-finite argument */
+ if(hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if(hx>0x7f800000)
+ return x+x; /* NaN */
+ if(hx==0x7f800000)
+ return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
+ if(x > o_threshold) return huge*huge; /* overflow */
+ if(x < u_threshold) return twom100*twom100; /* underflow */
+ }
+
+ /* argument reduction */
+ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
+ } else {
+ k = invln2*x+halF[xsb];
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ STRICT_ASSIGN(float, x, hi - lo);
+ }
+ else if(hx < 0x39000000) { /* when |x|<2**-14 */
+ if(huge+x>one) return one+x;/* trigger inexact */
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ t = x*x;
+ if(k >= -125)
+ SET_FLOAT_WORD(twopk,0x3f800000+(k<<23));
+ else
+ SET_FLOAT_WORD(twopk,0x3f800000+((k+100)<<23));
+ c = x - t*(P1+t*P2);
+ if(k==0) return one-((x*c)/(c-(float)2.0)-x);
+ else y = one-((lo-(x*c)/((float)2.0-c))-hi);
+ if(k >= -125) {
+ if(k==128) return y*2.0F*0x1p127F;
+ return y*twopk;
+ } else {
+ return y*twopk*twom100;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_fmod.c b/libm/upstream-freebsd/lib/msun/src/e_fmod.c
new file mode 100644
index 0000000..720aa03
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_fmod.c
@@ -0,0 +1,132 @@
+
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * __ieee754_fmod(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, Zero[] = {0.0, -0.0,};
+
+double
+__ieee754_fmod(double x, double y)
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int32_t lx,ly,lz;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
+ ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<=hy) {
+ if((hx<hy)||(lx<ly)) return x; /* |x|<|y| return x */
+ if(lx==ly)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00100000) { /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
+ } else {
+ for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
+ }
+ } else ix = (hx>>20)-1023;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00100000) { /* subnormal y */
+ if(hy==0) {
+ for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
+ } else {
+ for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
+ }
+ } else iy = (hy>>20)-1023;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -1022)
+ hx = 0x00100000|(0x000fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -1022-ix;
+ if(n<=31) {
+ hx = (hx<<n)|(lx>>(32-n));
+ lx <<= n;
+ } else {
+ hx = lx<<(n-32);
+ lx = 0;
+ }
+ }
+ if(iy >= -1022)
+ hy = 0x00100000|(0x000fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -1022-iy;
+ if(n<=31) {
+ hy = (hy<<n)|(ly>>(32-n));
+ ly <<= n;
+ } else {
+ hy = ly<<(n-32);
+ ly = 0;
+ }
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
+ else {
+ if((hz|lz)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz+(lz>>31); lx = lz+lz;
+ }
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00100000) { /* normalize x */
+ hx = hx+hx+(lx>>31); lx = lx+lx;
+ iy -= 1;
+ }
+ if(iy>= -1022) { /* normalize output */
+ hx = ((hx-0x00100000)|((iy+1023)<<20));
+ INSERT_WORDS(x,hx|sx,lx);
+ } else { /* subnormal output */
+ n = -1022 - iy;
+ if(n<=20) {
+ lx = (lx>>n)|((u_int32_t)hx<<(32-n));
+ hx >>= n;
+ } else if (n<=31) {
+ lx = (hx<<(32-n))|(lx>>n); hx = sx;
+ } else {
+ lx = hx>>(n-32); hx = sx;
+ }
+ INSERT_WORDS(x,hx|sx,lx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_fmodf.c b/libm/upstream-freebsd/lib/msun/src/e_fmodf.c
new file mode 100644
index 0000000..52ce373
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_fmodf.c
@@ -0,0 +1,104 @@
+/* e_fmodf.c -- float version of e_fmod.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * __ieee754_fmodf(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0, Zero[] = {0.0, -0.0,};
+
+float
+__ieee754_fmodf(float x, float y)
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if(hy==0||(hx>=0x7f800000)|| /* y=0,or x not finite */
+ (hy>0x7f800000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<hy) return x; /* |x|<|y| return x */
+ if(hx==hy)
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00800000) { /* subnormal x */
+ for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
+ } else ix = (hx>>23)-127;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00800000) { /* subnormal y */
+ for (iy = -126,i=(hy<<8); i>=0; i<<=1) iy -=1;
+ } else iy = (hy>>23)-127;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -126)
+ hx = 0x00800000|(0x007fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -126-ix;
+ hx = hx<<n;
+ }
+ if(iy >= -126)
+ hy = 0x00800000|(0x007fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -126-iy;
+ hy = hy<<n;
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ while(n--) {
+ hz=hx-hy;
+ if(hz<0){hx = hx+hx;}
+ else {
+ if(hz==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ hx = hz+hz;
+ }
+ }
+ hz=hx-hy;
+ if(hz>=0) {hx=hz;}
+
+ /* convert back to floating value and restore the sign */
+ if(hx==0) /* return sign(x)*0 */
+ return Zero[(u_int32_t)sx>>31];
+ while(hx<0x00800000) { /* normalize x */
+ hx = hx+hx;
+ iy -= 1;
+ }
+ if(iy>= -126) { /* normalize output */
+ hx = ((hx-0x00800000)|((iy+127)<<23));
+ SET_FLOAT_WORD(x,hx|sx);
+ } else { /* subnormal output */
+ n = -126 - iy;
+ hx >>= n;
+ SET_FLOAT_WORD(x,hx|sx);
+ x *= one; /* create necessary signal */
+ }
+ return x; /* exact output */
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_fmodl.c b/libm/upstream-freebsd/lib/msun/src/e_fmodl.c
new file mode 100644
index 0000000..e315f76
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_fmodl.c
@@ -0,0 +1,149 @@
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+#if LDBL_MANL_SIZE > 32
+typedef uint64_t manl_t;
+#else
+typedef uint32_t manl_t;
+#endif
+
+#if LDBL_MANH_SIZE > 32
+typedef uint64_t manh_t;
+#else
+typedef uint32_t manh_t;
+#endif
+
+/*
+ * These macros add and remove an explicit integer bit in front of the
+ * fractional mantissa, if the architecture doesn't have such a bit by
+ * default already.
+ */
+#ifdef LDBL_IMPLICIT_NBIT
+#define SET_NBIT(hx) ((hx) | (1ULL << LDBL_MANH_SIZE))
+#define HFRAC_BITS LDBL_MANH_SIZE
+#else
+#define SET_NBIT(hx) (hx)
+#define HFRAC_BITS (LDBL_MANH_SIZE - 1)
+#endif
+
+#define MANL_SHIFT (LDBL_MANL_SIZE - 1)
+
+static const long double one = 1.0, Zero[] = {0.0, -0.0,};
+
+/*
+ * fmodl(x,y)
+ * Return x mod y in exact arithmetic
+ * Method: shift and subtract
+ *
+ * Assumptions:
+ * - The low part of the mantissa fits in a manl_t exactly.
+ * - The high part of the mantissa fits in an int64_t with enough room
+ * for an explicit integer bit in front of the fractional bits.
+ */
+long double
+fmodl(long double x, long double y)
+{
+ union IEEEl2bits ux, uy;
+ int64_t hx,hz; /* We need a carry bit even if LDBL_MANH_SIZE is 32. */
+ manh_t hy;
+ manl_t lx,ly,lz;
+ int ix,iy,n,sx;
+
+ ux.e = x;
+ uy.e = y;
+ sx = ux.bits.sign;
+
+ /* purge off exception values */
+ if((uy.bits.exp|uy.bits.manh|uy.bits.manl)==0 || /* y=0 */
+ (ux.bits.exp == BIAS + LDBL_MAX_EXP) || /* or x not finite */
+ (uy.bits.exp == BIAS + LDBL_MAX_EXP &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)!=0)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(ux.bits.exp<=uy.bits.exp) {
+ if((ux.bits.exp<uy.bits.exp) ||
+ (ux.bits.manh<=uy.bits.manh &&
+ (ux.bits.manh<uy.bits.manh ||
+ ux.bits.manl<uy.bits.manl))) {
+ return x; /* |x|<|y| return x or x-y */
+ }
+ if(ux.bits.manh==uy.bits.manh && ux.bits.manl==uy.bits.manl) {
+ return Zero[sx]; /* |x|=|y| return x*0*/
+ }
+ }
+
+ /* determine ix = ilogb(x) */
+ if(ux.bits.exp == 0) { /* subnormal x */
+ ux.e *= 0x1.0p512;
+ ix = ux.bits.exp - (BIAS + 512);
+ } else {
+ ix = ux.bits.exp - BIAS;
+ }
+
+ /* determine iy = ilogb(y) */
+ if(uy.bits.exp == 0) { /* subnormal y */
+ uy.e *= 0x1.0p512;
+ iy = uy.bits.exp - (BIAS + 512);
+ } else {
+ iy = uy.bits.exp - BIAS;
+ }
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ hx = SET_NBIT(ux.bits.manh);
+ hy = SET_NBIT(uy.bits.manh);
+ lx = ux.bits.manl;
+ ly = uy.bits.manl;
+
+ /* fix point fmod */
+ n = ix - iy;
+
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>MANL_SHIFT); lx = lx+lx;}
+ else {
+ if ((hz|lz)==0) /* return sign(x)*0 */
+ return Zero[sx];
+ hx = hz+hz+(lz>>MANL_SHIFT); lx = lz+lz;
+ }
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) /* return sign(x)*0 */
+ return Zero[sx];
+ while(hx<(1ULL<<HFRAC_BITS)) { /* normalize x */
+ hx = hx+hx+(lx>>MANL_SHIFT); lx = lx+lx;
+ iy -= 1;
+ }
+ ux.bits.manh = hx; /* The mantissa is truncated here if needed. */
+ ux.bits.manl = lx;
+ if (iy < LDBL_MIN_EXP) {
+ ux.bits.exp = iy + (BIAS + 512);
+ ux.e *= 0x1p-512;
+ } else {
+ ux.bits.exp = iy + BIAS;
+ }
+ x = ux.e * one; /* create necessary signal */
+ return x; /* exact output */
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_gamma.c b/libm/upstream-freebsd/lib/msun/src/e_gamma.c
new file mode 100644
index 0000000..28fb5cc
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_gamma.c
@@ -0,0 +1,33 @@
+
+/* @(#)e_gamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_gamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_gamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+double
+__ieee754_gamma(double x)
+{
+ return __ieee754_gamma_r(x,&signgam);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_gamma_r.c b/libm/upstream-freebsd/lib/msun/src/e_gamma_r.c
new file mode 100644
index 0000000..2c423dc
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_gamma_r.c
@@ -0,0 +1,32 @@
+
+/* @(#)e_gamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_gamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method: See __ieee754_lgamma_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+double
+__ieee754_gamma_r(double x, int *signgamp)
+{
+ return __ieee754_lgamma_r(x,signgamp);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_gammaf.c b/libm/upstream-freebsd/lib/msun/src/e_gammaf.c
new file mode 100644
index 0000000..c1b1668
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_gammaf.c
@@ -0,0 +1,34 @@
+/* e_gammaf.c -- float version of e_gamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_gammaf(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_gammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+float
+__ieee754_gammaf(float x)
+{
+ return __ieee754_gammaf_r(x,&signgam);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_gammaf_r.c b/libm/upstream-freebsd/lib/msun/src/e_gammaf_r.c
new file mode 100644
index 0000000..9d7831b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_gammaf_r.c
@@ -0,0 +1,33 @@
+/* e_gammaf_r.c -- float version of e_gamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_gammaf_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method: See __ieee754_lgammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+__ieee754_gammaf_r(float x, int *signgamp)
+{
+ return __ieee754_lgammaf_r(x,signgamp);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_hypot.c b/libm/upstream-freebsd/lib/msun/src/e_hypot.c
new file mode 100644
index 0000000..2398e98
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_hypot.c
@@ -0,0 +1,131 @@
+
+/* @(#)e_hypot.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_hypot(x,y)
+ *
+ * Method :
+ * If (assume round-to-nearest) z=x*x+y*y
+ * has error less than sqrt(2)/2 ulp, than
+ * sqrt(z) has error less than 1 ulp (exercise).
+ *
+ * So, compute sqrt(x*x+y*y) with some care as
+ * follows to get the error below 1 ulp:
+ *
+ * Assume x>y>0;
+ * (if possible, set rounding to round-to-nearest)
+ * 1. if x > 2y use
+ * x1*x1+(y*y+(x2*(x+x1))) for x*x+y*y
+ * where x1 = x with lower 32 bits cleared, x2 = x-x1; else
+ * 2. if x <= 2y use
+ * t1*y1+((x-y)*(x-y)+(t1*y2+t2*y))
+ * where t1 = 2x with lower 32 bits cleared, t2 = 2x-t1,
+ * y1= y with lower 32 bits chopped, y2 = y-y1.
+ *
+ * NOTE: scaling may be necessary if some argument is too
+ * large or too tiny
+ *
+ * Special cases:
+ * hypot(x,y) is INF if x or y is +INF or -INF; else
+ * hypot(x,y) is NAN if x or y is NAN.
+ *
+ * Accuracy:
+ * hypot(x,y) returns sqrt(x^2+y^2) with error less
+ * than 1 ulps (units in the last place)
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+double
+__ieee754_hypot(double x, double y)
+{
+ double a,b,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_HIGH_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_HIGH_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ a = fabs(a);
+ b = fabs(b);
+ if((ha-hb)>0x3c00000) {return a+b;} /* x/y > 2**60 */
+ k=0;
+ if(ha > 0x5f300000) { /* a>2**500 */
+ if(ha >= 0x7ff00000) { /* Inf or NaN */
+ u_int32_t low;
+ /* Use original arg order iff result is NaN; quieten sNaNs. */
+ w = fabs(x+0.0)-fabs(y+0.0);
+ GET_LOW_WORD(low,a);
+ if(((ha&0xfffff)|low)==0) w = a;
+ GET_LOW_WORD(low,b);
+ if(((hb^0x7ff00000)|low)==0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-600 */
+ ha -= 0x25800000; hb -= 0x25800000; k += 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ if(hb < 0x20b00000) { /* b < 2**-500 */
+ if(hb <= 0x000fffff) { /* subnormal b or 0 */
+ u_int32_t low;
+ GET_LOW_WORD(low,b);
+ if((hb|low)==0) return a;
+ t1=0;
+ SET_HIGH_WORD(t1,0x7fd00000); /* t1=2^1022 */
+ b *= t1;
+ a *= t1;
+ k -= 1022;
+ } else { /* scale a and b by 2^600 */
+ ha += 0x25800000; /* a *= 2^600 */
+ hb += 0x25800000; /* b *= 2^600 */
+ k -= 600;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha);
+ t2 = a-t1;
+ w = sqrt(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = 0;
+ SET_HIGH_WORD(y1,hb);
+ y2 = b - y1;
+ t1 = 0;
+ SET_HIGH_WORD(t1,ha+0x00100000);
+ t2 = a - t1;
+ w = sqrt(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t high;
+ t1 = 1.0;
+ GET_HIGH_WORD(high,t1);
+ SET_HIGH_WORD(t1,high+(k<<20));
+ return t1*w;
+ } else return w;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(hypot, hypotl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_hypotf.c b/libm/upstream-freebsd/lib/msun/src/e_hypotf.c
new file mode 100644
index 0000000..6d083e4
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_hypotf.c
@@ -0,0 +1,83 @@
+/* e_hypotf.c -- float version of e_hypot.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+float
+__ieee754_hypotf(float x, float y)
+{
+ float a,b,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_FLOAT_WORD(ha,x);
+ ha &= 0x7fffffff;
+ GET_FLOAT_WORD(hb,y);
+ hb &= 0x7fffffff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ a = fabsf(a);
+ b = fabsf(b);
+ if((ha-hb)>0xf000000) {return a+b;} /* x/y > 2**30 */
+ k=0;
+ if(ha > 0x58800000) { /* a>2**50 */
+ if(ha >= 0x7f800000) { /* Inf or NaN */
+ /* Use original arg order iff result is NaN; quieten sNaNs. */
+ w = fabsf(x+0.0F)-fabsf(y+0.0F);
+ if(ha == 0x7f800000) w = a;
+ if(hb == 0x7f800000) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-68 */
+ ha -= 0x22000000; hb -= 0x22000000; k += 68;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ if(hb < 0x26800000) { /* b < 2**-50 */
+ if(hb <= 0x007fffff) { /* subnormal b or 0 */
+ if(hb==0) return a;
+ SET_FLOAT_WORD(t1,0x7e800000); /* t1=2^126 */
+ b *= t1;
+ a *= t1;
+ k -= 126;
+ } else { /* scale a and b by 2^68 */
+ ha += 0x22000000; /* a *= 2^68 */
+ hb += 0x22000000; /* b *= 2^68 */
+ k -= 68;
+ SET_FLOAT_WORD(a,ha);
+ SET_FLOAT_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ SET_FLOAT_WORD(t1,ha&0xfffff000);
+ t2 = a-t1;
+ w = __ieee754_sqrtf(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ SET_FLOAT_WORD(y1,hb&0xfffff000);
+ y2 = b - y1;
+ SET_FLOAT_WORD(t1,(ha+0x00800000)&0xfffff000);
+ t2 = a - t1;
+ w = __ieee754_sqrtf(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ SET_FLOAT_WORD(t1,0x3f800000+(k<<23));
+ return t1*w;
+ } else return w;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_hypotl.c b/libm/upstream-freebsd/lib/msun/src/e_hypotl.c
new file mode 100644
index 0000000..7b5ab89
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_hypotl.c
@@ -0,0 +1,124 @@
+/* From: @(#)e_hypot.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* long double version of hypot(). See e_hypot.c for most comments. */
+
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#define GET_LDBL_MAN(h, l, v) do { \
+ union IEEEl2bits uv; \
+ \
+ uv.e = v; \
+ h = uv.bits.manh; \
+ l = uv.bits.manl; \
+} while (0)
+
+#undef GET_HIGH_WORD
+#define GET_HIGH_WORD(i, v) GET_LDBL_EXPSIGN(i, v)
+#undef SET_HIGH_WORD
+#define SET_HIGH_WORD(v, i) SET_LDBL_EXPSIGN(v, i)
+
+#define DESW(exp) (exp) /* delta expsign word */
+#define ESW(exp) (MAX_EXP - 1 + (exp)) /* expsign word */
+#define MANT_DIG LDBL_MANT_DIG
+#define MAX_EXP LDBL_MAX_EXP
+
+#if LDBL_MANL_SIZE > 32
+typedef uint64_t man_t;
+#else
+typedef uint32_t man_t;
+#endif
+
+long double
+hypotl(long double x, long double y)
+{
+ long double a=x,b=y,t1,t2,y1,y2,w;
+ int32_t j,k,ha,hb;
+
+ GET_HIGH_WORD(ha,x);
+ ha &= 0x7fff;
+ GET_HIGH_WORD(hb,y);
+ hb &= 0x7fff;
+ if(hb > ha) {a=y;b=x;j=ha; ha=hb;hb=j;} else {a=x;b=y;}
+ a = fabsl(a);
+ b = fabsl(b);
+ if((ha-hb)>DESW(MANT_DIG+7)) {return a+b;} /* x/y > 2**(MANT_DIG+7) */
+ k=0;
+ if(ha > ESW(MAX_EXP/2-12)) { /* a>2**(MAX_EXP/2-12) */
+ if(ha >= ESW(MAX_EXP)) { /* Inf or NaN */
+ man_t manh, manl;
+ /* Use original arg order iff result is NaN; quieten sNaNs. */
+ w = fabsl(x+0.0)-fabsl(y+0.0);
+ GET_LDBL_MAN(manh,manl,a);
+ if (manh == LDBL_NBIT && manl == 0) w = a;
+ GET_LDBL_MAN(manh,manl,b);
+ if (hb >= ESW(MAX_EXP) && manh == LDBL_NBIT && manl == 0) w = b;
+ return w;
+ }
+ /* scale a and b by 2**-(MAX_EXP/2+88) */
+ ha -= DESW(MAX_EXP/2+88); hb -= DESW(MAX_EXP/2+88);
+ k += MAX_EXP/2+88;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ if(hb < ESW(-(MAX_EXP/2-12))) { /* b < 2**-(MAX_EXP/2-12) */
+ if(hb <= 0) { /* subnormal b or 0 */
+ man_t manh, manl;
+ GET_LDBL_MAN(manh,manl,b);
+ if((manh|manl)==0) return a;
+ t1=0;
+ SET_HIGH_WORD(t1,ESW(MAX_EXP-2)); /* t1=2^(MAX_EXP-2) */
+ b *= t1;
+ a *= t1;
+ k -= MAX_EXP-2;
+ } else { /* scale a and b by 2^(MAX_EXP/2+88) */
+ ha += DESW(MAX_EXP/2+88);
+ hb += DESW(MAX_EXP/2+88);
+ k -= MAX_EXP/2+88;
+ SET_HIGH_WORD(a,ha);
+ SET_HIGH_WORD(b,hb);
+ }
+ }
+ /* medium size a and b */
+ w = a-b;
+ if (w>b) {
+ t1 = a;
+ union IEEEl2bits uv;
+ uv.e = t1; uv.bits.manl = 0; t1 = uv.e;
+ t2 = a-t1;
+ w = sqrtl(t1*t1-(b*(-b)-t2*(a+t1)));
+ } else {
+ a = a+a;
+ y1 = b;
+ union IEEEl2bits uv;
+ uv.e = y1; uv.bits.manl = 0; y1 = uv.e;
+ y2 = b - y1;
+ t1 = a;
+ uv.e = t1; uv.bits.manl = 0; t1 = uv.e;
+ t2 = a - t1;
+ w = sqrtl(t1*y1-(w*(-w)-(t1*y2+t2*b)));
+ }
+ if(k!=0) {
+ u_int32_t high;
+ t1 = 1.0;
+ GET_HIGH_WORD(high,t1);
+ SET_HIGH_WORD(t1,high+DESW(k));
+ return t1*w;
+ } else return w;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_j0.c b/libm/upstream-freebsd/lib/msun/src/e_j0.c
new file mode 100644
index 0000000..36e72c2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_j0.c
@@ -0,0 +1,391 @@
+
+/* @(#)e_j0.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_j0.c 283032 2015-05-17 16:27:06Z kargl $");
+
+/* __ieee754_j0(x), __ieee754_y0(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j0(x):
+ * 1. For tiny x, we use j0(x) = 1 - x^2/4 + x^4/64 - ...
+ * 2. Reduce x to |x| since j0(x)=j0(-x), and
+ * for x in (0,2)
+ * j0(x) = 1-z/4+ z^2*R0/S0, where z = x*x;
+ * (precision: |j0-1+z/4-z^2R0/S0 |<2**-63.67 )
+ * for x in (2,inf)
+ * j0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)-q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * as follow:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (cos(x) + sin(x))
+ * sin(x0) = sin(x)cos(pi/4)-cos(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j0(nan)= nan
+ * j0(0) = 1
+ * j0(inf) = 0
+ *
+ * Method -- y0(x):
+ * 1. For x<2.
+ * Since
+ * y0(x) = 2/pi*(j0(x)*(ln(x/2)+Euler) + x^2/4 - ...)
+ * therefore y0(x)-2/pi*j0(x)*ln(x) is an even function.
+ * We use the following function to approximate y0,
+ * y0(x) = U(z)/V(z) + (2/pi)*(j0(x)*ln(x)), z= x^2
+ * where
+ * U(z) = u00 + u01*z + ... + u06*z^6
+ * V(z) = 1 + v01*z + ... + v04*z^4
+ * with absolute approximation error bounded by 2**-72.
+ * Note: For tiny x, U/V = u0 and j0(x)~1, hence
+ * y0(tiny) = u0 + (2/pi)*ln(tiny), (choose tiny<2**-27)
+ * 2. For x>=2.
+ * y0(x) = sqrt(2/(pi*x))*(p0(x)*cos(x0)+q0(x)*sin(x0))
+ * where x0 = x-pi/4. It is better to compute sin(x0),cos(x0)
+ * by the method mentioned above.
+ * 3. Special cases: y0(0)=-inf, y0(x<0)=NaN, y0(inf)=0.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static __inline double pzero(double), qzero(double);
+
+static const volatile double vone = 1, vzero = 0;
+
+static const double
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0, 2.00] */
+R02 = 1.56249999999999947958e-02, /* 0x3F8FFFFF, 0xFFFFFFFD */
+R03 = -1.89979294238854721751e-04, /* 0xBF28E6A5, 0xB61AC6E9 */
+R04 = 1.82954049532700665670e-06, /* 0x3EBEB1D1, 0x0C503919 */
+R05 = -4.61832688532103189199e-09, /* 0xBE33D5E7, 0x73D63FCE */
+S01 = 1.56191029464890010492e-02, /* 0x3F8FFCE8, 0x82C8C2A4 */
+S02 = 1.16926784663337450260e-04, /* 0x3F1EA6D2, 0xDD57DBF4 */
+S03 = 5.13546550207318111446e-07, /* 0x3EA13B54, 0xCE84D5A9 */
+S04 = 1.16614003333790000205e-09; /* 0x3E1408BC, 0xF4745D8F */
+
+static const double zero = 0.0;
+
+double
+__ieee754_j0(double x)
+{
+ double z, s,c,ss,cc,r,u,v;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/(x*x);
+ x = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(x);
+ c = cos(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*cc-v*ss)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<0x3f200000) { /* |x| < 2**-13 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x3e400000) return one; /* |x|<2**-27 */
+ else return one - x*x/4;
+ }
+ }
+ z = x*x;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ if(ix < 0x3FF00000) { /* |x| < 1.00 */
+ return one + z*(-0.25+(r/s));
+ } else {
+ u = 0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+static const double
+u00 = -7.38042951086872317523e-02, /* 0xBFB2E4D6, 0x99CBD01F */
+u01 = 1.76666452509181115538e-01, /* 0x3FC69D01, 0x9DE9E3FC */
+u02 = -1.38185671945596898896e-02, /* 0xBF8C4CE8, 0xB16CFA97 */
+u03 = 3.47453432093683650238e-04, /* 0x3F36C54D, 0x20B29B6B */
+u04 = -3.81407053724364161125e-06, /* 0xBECFFEA7, 0x73D25CAD */
+u05 = 1.95590137035022920206e-08, /* 0x3E550057, 0x3B4EABD4 */
+u06 = -3.98205194132103398453e-11, /* 0xBDC5E43D, 0x693FB3C8 */
+v01 = 1.27304834834123699328e-02, /* 0x3F8A1270, 0x91C9C71A */
+v02 = 7.60068627350353253702e-05, /* 0x3F13ECBB, 0xF578C6C1 */
+v03 = 2.59150851840457805467e-07, /* 0x3E91642D, 0x7FF202FD */
+v04 = 4.41110311332675467403e-10; /* 0x3DFE5018, 0x3BD6D9EF */
+
+double
+__ieee754_y0(double x)
+{
+ double z, s,c,ss,cc,u,v;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /*
+ * y0(NaN) = NaN.
+ * y0(Inf) = 0.
+ * y0(-Inf) = NaN and raise invalid exception.
+ */
+ if(ix>=0x7ff00000) return vone/(x+x*x);
+ /* y0(+-0) = -inf and raise divide-by-zero exception. */
+ if((ix|lx)==0) return -one/vzero;
+ /* y0(x<0) = NaN and raise invalid exception. */
+ if(hx<0) return vzero/vzero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = sin(x);
+ c = cos(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = -cos(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x);
+ else {
+ u = pzero(x); v = qzero(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3e400000) { /* x < 2**-27 */
+ return(u00 + tpi*__ieee754_log(x));
+ }
+ z = x*x;
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+ return(u/v + tpi*(__ieee754_j0(x)*__ieee754_log(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+static const double pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -7.03124999999900357484e-02, /* 0xBFB1FFFF, 0xFFFFFD32 */
+ -8.08167041275349795626e+00, /* 0xC02029D0, 0xB44FA779 */
+ -2.57063105679704847262e+02, /* 0xC0701102, 0x7B19E863 */
+ -2.48521641009428822144e+03, /* 0xC0A36A6E, 0xCD4DCAFC */
+ -5.25304380490729545272e+03, /* 0xC0B4850B, 0x36CC643D */
+};
+static const double pS8[5] = {
+ 1.16534364619668181717e+02, /* 0x405D2233, 0x07A96751 */
+ 3.83374475364121826715e+03, /* 0x40ADF37D, 0x50596938 */
+ 4.05978572648472545552e+04, /* 0x40E3D2BB, 0x6EB6B05F */
+ 1.16752972564375915681e+05, /* 0x40FC810F, 0x8F9FA9BD */
+ 4.76277284146730962675e+04, /* 0x40E74177, 0x4F2C49DC */
+};
+
+static const double pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ -1.14125464691894502584e-11, /* 0xBDA918B1, 0x47E495CC */
+ -7.03124940873599280078e-02, /* 0xBFB1FFFF, 0xE69AFBC6 */
+ -4.15961064470587782438e+00, /* 0xC010A370, 0xF90C6BBF */
+ -6.76747652265167261021e+01, /* 0xC050EB2F, 0x5A7D1783 */
+ -3.31231299649172967747e+02, /* 0xC074B3B3, 0x6742CC63 */
+ -3.46433388365604912451e+02, /* 0xC075A6EF, 0x28A38BD7 */
+};
+static const double pS5[5] = {
+ 6.07539382692300335975e+01, /* 0x404E6081, 0x0C98C5DE */
+ 1.05125230595704579173e+03, /* 0x40906D02, 0x5C7E2864 */
+ 5.97897094333855784498e+03, /* 0x40B75AF8, 0x8FBE1D60 */
+ 9.62544514357774460223e+03, /* 0x40C2CCB8, 0xFA76FA38 */
+ 2.40605815922939109441e+03, /* 0x40A2CC1D, 0xC70BE864 */
+};
+
+static const double pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+ -2.54704601771951915620e-09, /* 0xBE25E103, 0x6FE1AA86 */
+ -7.03119616381481654654e-02, /* 0xBFB1FFF6, 0xF7C0E24B */
+ -2.40903221549529611423e+00, /* 0xC00345B2, 0xAEA48074 */
+ -2.19659774734883086467e+01, /* 0xC035F74A, 0x4CB94E14 */
+ -5.80791704701737572236e+01, /* 0xC04D0A22, 0x420A1A45 */
+ -3.14479470594888503854e+01, /* 0xC03F72AC, 0xA892D80F */
+};
+static const double pS3[5] = {
+ 3.58560338055209726349e+01, /* 0x4041ED92, 0x84077DD3 */
+ 3.61513983050303863820e+02, /* 0x40769839, 0x464A7C0E */
+ 1.19360783792111533330e+03, /* 0x4092A66E, 0x6D1061D6 */
+ 1.12799679856907414432e+03, /* 0x40919FFC, 0xB8C39B7E */
+ 1.73580930813335754692e+02, /* 0x4065B296, 0xFC379081 */
+};
+
+static const double pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ -8.87534333032526411254e-08, /* 0xBE77D316, 0xE927026D */
+ -7.03030995483624743247e-02, /* 0xBFB1FF62, 0x495E1E42 */
+ -1.45073846780952986357e+00, /* 0xBFF73639, 0x8A24A843 */
+ -7.63569613823527770791e+00, /* 0xC01E8AF3, 0xEDAFA7F3 */
+ -1.11931668860356747786e+01, /* 0xC02662E6, 0xC5246303 */
+ -3.23364579351335335033e+00, /* 0xC009DE81, 0xAF8FE70F */
+};
+static const double pS2[5] = {
+ 2.22202997532088808441e+01, /* 0x40363865, 0x908B5959 */
+ 1.36206794218215208048e+02, /* 0x4061069E, 0x0EE8878F */
+ 2.70470278658083486789e+02, /* 0x4070E786, 0x42EA079B */
+ 1.53875394208320329881e+02, /* 0x40633C03, 0x3AB6FAFF */
+ 1.46576176948256193810e+01, /* 0x402D50B3, 0x44391809 */
+};
+
+static __inline double
+pzero(double x)
+{
+ const double *p,*q;
+ double z,r,s;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pR8; q= pS8;}
+ else if(ix>=0x40122E8B){p = pR5; q= pS5;}
+ else if(ix>=0x4006DB6D){p = pR3; q= pS3;}
+ else {p = pR2; q= pS2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+static const double qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 7.32421874999935051953e-02, /* 0x3FB2BFFF, 0xFFFFFE2C */
+ 1.17682064682252693899e+01, /* 0x40278952, 0x5BB334D6 */
+ 5.57673380256401856059e+02, /* 0x40816D63, 0x15301825 */
+ 8.85919720756468632317e+03, /* 0x40C14D99, 0x3E18F46D */
+ 3.70146267776887834771e+04, /* 0x40E212D4, 0x0E901566 */
+};
+static const double qS8[6] = {
+ 1.63776026895689824414e+02, /* 0x406478D5, 0x365B39BC */
+ 8.09834494656449805916e+03, /* 0x40BFA258, 0x4E6B0563 */
+ 1.42538291419120476348e+05, /* 0x41016652, 0x54D38C3F */
+ 8.03309257119514397345e+05, /* 0x412883DA, 0x83A52B43 */
+ 8.40501579819060512818e+05, /* 0x4129A66B, 0x28DE0B3D */
+ -3.43899293537866615225e+05, /* 0xC114FD6D, 0x2C9530C5 */
+};
+
+static const double qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ 1.84085963594515531381e-11, /* 0x3DB43D8F, 0x29CC8CD9 */
+ 7.32421766612684765896e-02, /* 0x3FB2BFFF, 0xD172B04C */
+ 5.83563508962056953777e+00, /* 0x401757B0, 0xB9953DD3 */
+ 1.35111577286449829671e+02, /* 0x4060E392, 0x0A8788E9 */
+ 1.02724376596164097464e+03, /* 0x40900CF9, 0x9DC8C481 */
+ 1.98997785864605384631e+03, /* 0x409F17E9, 0x53C6E3A6 */
+};
+static const double qS5[6] = {
+ 8.27766102236537761883e+01, /* 0x4054B1B3, 0xFB5E1543 */
+ 2.07781416421392987104e+03, /* 0x40A03BA0, 0xDA21C0CE */
+ 1.88472887785718085070e+04, /* 0x40D267D2, 0x7B591E6D */
+ 5.67511122894947329769e+04, /* 0x40EBB5E3, 0x97E02372 */
+ 3.59767538425114471465e+04, /* 0x40E19118, 0x1F7A54A0 */
+ -5.35434275601944773371e+03, /* 0xC0B4EA57, 0xBEDBC609 */
+};
+
+static const double qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+ 4.37741014089738620906e-09, /* 0x3E32CD03, 0x6ADECB82 */
+ 7.32411180042911447163e-02, /* 0x3FB2BFEE, 0x0E8D0842 */
+ 3.34423137516170720929e+00, /* 0x400AC0FC, 0x61149CF5 */
+ 4.26218440745412650017e+01, /* 0x40454F98, 0x962DAEDD */
+ 1.70808091340565596283e+02, /* 0x406559DB, 0xE25EFD1F */
+ 1.66733948696651168575e+02, /* 0x4064D77C, 0x81FA21E0 */
+};
+static const double qS3[6] = {
+ 4.87588729724587182091e+01, /* 0x40486122, 0xBFE343A6 */
+ 7.09689221056606015736e+02, /* 0x40862D83, 0x86544EB3 */
+ 3.70414822620111362994e+03, /* 0x40ACF04B, 0xE44DFC63 */
+ 6.46042516752568917582e+03, /* 0x40B93C6C, 0xD7C76A28 */
+ 2.51633368920368957333e+03, /* 0x40A3A8AA, 0xD94FB1C0 */
+ -1.49247451836156386662e+02, /* 0xC062A7EB, 0x201CF40F */
+};
+
+static const double qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ 1.50444444886983272379e-07, /* 0x3E84313B, 0x54F76BDB */
+ 7.32234265963079278272e-02, /* 0x3FB2BEC5, 0x3E883E34 */
+ 1.99819174093815998816e+00, /* 0x3FFFF897, 0xE727779C */
+ 1.44956029347885735348e+01, /* 0x402CFDBF, 0xAAF96FE5 */
+ 3.16662317504781540833e+01, /* 0x403FAA8E, 0x29FBDC4A */
+ 1.62527075710929267416e+01, /* 0x403040B1, 0x71814BB4 */
+};
+static const double qS2[6] = {
+ 3.03655848355219184498e+01, /* 0x403E5D96, 0xF7C07AED */
+ 2.69348118608049844624e+02, /* 0x4070D591, 0xE4D14B40 */
+ 8.44783757595320139444e+02, /* 0x408A6645, 0x22B3BF22 */
+ 8.82935845112488550512e+02, /* 0x408B977C, 0x9C5CC214 */
+ 2.12666388511798828631e+02, /* 0x406A9553, 0x0E001365 */
+ -5.31095493882666946917e+00, /* 0xC0153E6A, 0xF8B32931 */
+};
+
+static __inline double
+qzero(double x)
+{
+ const double *p,*q;
+ double s,r,z;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qR8; q= qS8;}
+ else if(ix>=0x40122E8B){p = qR5; q= qS5;}
+ else if(ix>=0x4006DB6D){p = qR3; q= qS3;}
+ else {p = qR2; q= qS2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (-.125 + r/s)/x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_j0f.c b/libm/upstream-freebsd/lib/msun/src/e_j0f.c
new file mode 100644
index 0000000..e53b218
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_j0f.c
@@ -0,0 +1,344 @@
+/* e_j0f.c -- float version of e_j0.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_j0f.c 283032 2015-05-17 16:27:06Z kargl $");
+
+/*
+ * See e_j0.c for complete comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static __inline float pzerof(float), qzerof(float);
+
+static const volatile float vone = 1, vzero = 0;
+
+static const float
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0, 2.00] */
+R02 = 1.5625000000e-02, /* 0x3c800000 */
+R03 = -1.8997929874e-04, /* 0xb947352e */
+R04 = 1.8295404516e-06, /* 0x35f58e88 */
+R05 = -4.6183270541e-09, /* 0xb19eaf3c */
+S01 = 1.5619102865e-02, /* 0x3c7fe744 */
+S02 = 1.1692678527e-04, /* 0x38f53697 */
+S03 = 5.1354652442e-07, /* 0x3509daa6 */
+S04 = 1.1661400734e-09; /* 0x30a045e8 */
+
+static const float zero = 0.0;
+
+float
+__ieee754_j0f(float x)
+{
+ float z, s,c,ss,cc,r,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/(x*x);
+ x = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(x);
+ c = cosf(x);
+ ss = s-c;
+ cc = s+c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix>0x58000000) z = (invsqrtpi*cc)/sqrtf(x); /* |x|>2**49 */
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<0x3b000000) { /* |x| < 2**-9 */
+ if(huge+x>one) { /* raise inexact if x != 0 */
+ if(ix<0x39800000) return one; /* |x|<2**-12 */
+ else return one - x*x/4;
+ }
+ }
+ z = x*x;
+ r = z*(R02+z*(R03+z*(R04+z*R05)));
+ s = one+z*(S01+z*(S02+z*(S03+z*S04)));
+ if(ix < 0x3F800000) { /* |x| < 1.00 */
+ return one + z*((float)-0.25+(r/s));
+ } else {
+ u = (float)0.5*x;
+ return((one+u)*(one-u)+z*(r/s));
+ }
+}
+
+static const float
+u00 = -7.3804296553e-02, /* 0xbd9726b5 */
+u01 = 1.7666645348e-01, /* 0x3e34e80d */
+u02 = -1.3818567619e-02, /* 0xbc626746 */
+u03 = 3.4745343146e-04, /* 0x39b62a69 */
+u04 = -3.8140706238e-06, /* 0xb67ff53c */
+u05 = 1.9559013964e-08, /* 0x32a802ba */
+u06 = -3.9820518410e-11, /* 0xae2f21eb */
+v01 = 1.2730483897e-02, /* 0x3c509385 */
+v02 = 7.6006865129e-05, /* 0x389f65e0 */
+v03 = 2.5915085189e-07, /* 0x348b216c */
+v04 = 4.4111031494e-10; /* 0x2ff280c2 */
+
+float
+__ieee754_y0f(float x)
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ if(ix>=0x7f800000) return vone/(x+x*x);
+ if(ix==0) return -one/vzero;
+ if(hx<0) return vzero/vzero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0))
+ * where x0 = x-pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4)
+ * = 1/sqrt(2) * (sin(x) + cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ s = sinf(x);
+ c = cosf(x);
+ ss = s-c;
+ cc = s+c;
+ /*
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x)
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x)
+ */
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = -cosf(x+x);
+ if ((s*c)<zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ if(ix>0x58000000) z = (invsqrtpi*ss)/sqrtf(x); /* |x|>2**49 */
+ else {
+ u = pzerof(x); v = qzerof(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x39000000) { /* x < 2**-13 */
+ return(u00 + tpi*__ieee754_logf(x));
+ }
+ z = x*x;
+ u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06)))));
+ v = one+z*(v01+z*(v02+z*(v03+z*v04)));
+ return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x)));
+}
+
+/* The asymptotic expansions of pzero is
+ * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x.
+ * For x >= 2, We approximate pzero by
+ * pzero(x) = 1 + (R/S)
+ * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10
+ * S = 1 + pS0*s^2 + ... + pS4*s^10
+ * and
+ * | pzero(x)-1-R/S | <= 2 ** ( -60.26)
+ */
+static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.0000000000e+00, /* 0x00000000 */
+ -7.0312500000e-02, /* 0xbd900000 */
+ -8.0816707611e+00, /* 0xc1014e86 */
+ -2.5706311035e+02, /* 0xc3808814 */
+ -2.4852163086e+03, /* 0xc51b5376 */
+ -5.2530439453e+03, /* 0xc5a4285a */
+};
+static const float pS8[5] = {
+ 1.1653436279e+02, /* 0x42e91198 */
+ 3.8337448730e+03, /* 0x456f9beb */
+ 4.0597855469e+04, /* 0x471e95db */
+ 1.1675296875e+05, /* 0x47e4087c */
+ 4.7627726562e+04, /* 0x473a0bba */
+};
+static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ -1.1412546255e-11, /* 0xad48c58a */
+ -7.0312492549e-02, /* 0xbd8fffff */
+ -4.1596107483e+00, /* 0xc0851b88 */
+ -6.7674766541e+01, /* 0xc287597b */
+ -3.3123129272e+02, /* 0xc3a59d9b */
+ -3.4643338013e+02, /* 0xc3ad3779 */
+};
+static const float pS5[5] = {
+ 6.0753936768e+01, /* 0x42730408 */
+ 1.0512523193e+03, /* 0x44836813 */
+ 5.9789707031e+03, /* 0x45bad7c4 */
+ 9.6254453125e+03, /* 0x461665c8 */
+ 2.4060581055e+03, /* 0x451660ee */
+};
+
+static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+ -2.5470459075e-09, /* 0xb12f081b */
+ -7.0311963558e-02, /* 0xbd8fffb8 */
+ -2.4090321064e+00, /* 0xc01a2d95 */
+ -2.1965976715e+01, /* 0xc1afba52 */
+ -5.8079170227e+01, /* 0xc2685112 */
+ -3.1447946548e+01, /* 0xc1fb9565 */
+};
+static const float pS3[5] = {
+ 3.5856033325e+01, /* 0x420f6c94 */
+ 3.6151397705e+02, /* 0x43b4c1ca */
+ 1.1936077881e+03, /* 0x44953373 */
+ 1.1279968262e+03, /* 0x448cffe6 */
+ 1.7358093262e+02, /* 0x432d94b8 */
+};
+
+static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ -8.8753431271e-08, /* 0xb3be98b7 */
+ -7.0303097367e-02, /* 0xbd8ffb12 */
+ -1.4507384300e+00, /* 0xbfb9b1cc */
+ -7.6356959343e+00, /* 0xc0f4579f */
+ -1.1193166733e+01, /* 0xc1331736 */
+ -3.2336456776e+00, /* 0xc04ef40d */
+};
+static const float pS2[5] = {
+ 2.2220300674e+01, /* 0x41b1c32d */
+ 1.3620678711e+02, /* 0x430834f0 */
+ 2.7047027588e+02, /* 0x43873c32 */
+ 1.5387539673e+02, /* 0x4319e01a */
+ 1.4657617569e+01, /* 0x416a859a */
+};
+
+static __inline float
+pzerof(float x)
+{
+ const float *p,*q;
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pR8; q= pS8;}
+ else if(ix>=0x409173eb){p = pR5; q= pS5;}
+ else if(ix>=0x4036d917){p = pR3; q= pS3;}
+ else {p = pR2; q= pS2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qzero is
+ * -1/8 s + 75/1024 s^3 - ..., where s = 1/x.
+ * We approximate pzero by
+ * qzero(x) = s*(-1.25 + (R/S))
+ * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10
+ * S = 1 + qS0*s^2 + ... + qS5*s^12
+ * and
+ * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22)
+ */
+static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.0000000000e+00, /* 0x00000000 */
+ 7.3242187500e-02, /* 0x3d960000 */
+ 1.1768206596e+01, /* 0x413c4a93 */
+ 5.5767340088e+02, /* 0x440b6b19 */
+ 8.8591972656e+03, /* 0x460a6cca */
+ 3.7014625000e+04, /* 0x471096a0 */
+};
+static const float qS8[6] = {
+ 1.6377603149e+02, /* 0x4323c6aa */
+ 8.0983447266e+03, /* 0x45fd12c2 */
+ 1.4253829688e+05, /* 0x480b3293 */
+ 8.0330925000e+05, /* 0x49441ed4 */
+ 8.4050156250e+05, /* 0x494d3359 */
+ -3.4389928125e+05, /* 0xc8a7eb69 */
+};
+
+static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ 1.8408595828e-11, /* 0x2da1ec79 */
+ 7.3242180049e-02, /* 0x3d95ffff */
+ 5.8356351852e+00, /* 0x40babd86 */
+ 1.3511157227e+02, /* 0x43071c90 */
+ 1.0272437744e+03, /* 0x448067cd */
+ 1.9899779053e+03, /* 0x44f8bf4b */
+};
+static const float qS5[6] = {
+ 8.2776611328e+01, /* 0x42a58da0 */
+ 2.0778142090e+03, /* 0x4501dd07 */
+ 1.8847289062e+04, /* 0x46933e94 */
+ 5.6751113281e+04, /* 0x475daf1d */
+ 3.5976753906e+04, /* 0x470c88c1 */
+ -5.3543427734e+03, /* 0xc5a752be */
+};
+
+static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */
+ 4.3774099900e-09, /* 0x3196681b */
+ 7.3241114616e-02, /* 0x3d95ff70 */
+ 3.3442313671e+00, /* 0x405607e3 */
+ 4.2621845245e+01, /* 0x422a7cc5 */
+ 1.7080809021e+02, /* 0x432acedf */
+ 1.6673394775e+02, /* 0x4326bbe4 */
+};
+static const float qS3[6] = {
+ 4.8758872986e+01, /* 0x42430916 */
+ 7.0968920898e+02, /* 0x44316c1c */
+ 3.7041481934e+03, /* 0x4567825f */
+ 6.4604252930e+03, /* 0x45c9e367 */
+ 2.5163337402e+03, /* 0x451d4557 */
+ -1.4924745178e+02, /* 0xc3153f59 */
+};
+
+static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ 1.5044444979e-07, /* 0x342189db */
+ 7.3223426938e-02, /* 0x3d95f62a */
+ 1.9981917143e+00, /* 0x3fffc4bf */
+ 1.4495602608e+01, /* 0x4167edfd */
+ 3.1666231155e+01, /* 0x41fd5471 */
+ 1.6252708435e+01, /* 0x4182058c */
+};
+static const float qS2[6] = {
+ 3.0365585327e+01, /* 0x41f2ecb8 */
+ 2.6934811401e+02, /* 0x4386ac8f */
+ 8.4478375244e+02, /* 0x44533229 */
+ 8.8293585205e+02, /* 0x445cbbe5 */
+ 2.1266638184e+02, /* 0x4354aa98 */
+ -5.3109550476e+00, /* 0xc0a9f358 */
+};
+
+static __inline float
+qzerof(float x)
+{
+ const float *p,*q;
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = qR8; q= qS8;}
+ else if(ix>=0x409173eb){p = qR5; q= qS5;}
+ else if(ix>=0x4036d917){p = qR3; q= qS3;}
+ else {p = qR2; q= qS2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (-(float).125 + r/s)/x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_j1.c b/libm/upstream-freebsd/lib/msun/src/e_j1.c
new file mode 100644
index 0000000..b11ac2d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_j1.c
@@ -0,0 +1,386 @@
+
+/* @(#)e_j1.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_j1.c 283032 2015-05-17 16:27:06Z kargl $");
+
+/* __ieee754_j1(x), __ieee754_y1(x)
+ * Bessel function of the first and second kinds of order zero.
+ * Method -- j1(x):
+ * 1. For tiny x, we use j1(x) = x/2 - x^3/16 + x^5/384 - ...
+ * 2. Reduce x to |x| since j1(x)=-j1(-x), and
+ * for x in (0,2)
+ * j1(x) = x/2 + x*z*R0/S0, where z = x*x;
+ * (precision: |j1/x - 1/2 - R0/S0 |<2**-61.51 )
+ * for x in (2,inf)
+ * j1(x) = sqrt(2/(pi*x))*(p1(x)*cos(x1)-q1(x)*sin(x1))
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * as follow:
+ * cos(x1) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x1) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (sin(x) + cos(x))
+ * (To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.)
+ *
+ * 3 Special cases
+ * j1(nan)= nan
+ * j1(0) = 0
+ * j1(inf) = 0
+ *
+ * Method -- y1(x):
+ * 1. screen out x<=0 cases: y1(0)=-inf, y1(x<0)=NaN
+ * 2. For x<2.
+ * Since
+ * y1(x) = 2/pi*(j1(x)*(ln(x/2)+Euler)-1/x-x/2+5/64*x^3-...)
+ * therefore y1(x)-2/pi*j1(x)*ln(x)-1/x is an odd function.
+ * We use the following function to approximate y1,
+ * y1(x) = x*U(z)/V(z) + (2/pi)*(j1(x)*ln(x)-1/x), z= x^2
+ * where for x in [0,2] (abs err less than 2**-65.89)
+ * U(z) = U0[0] + U0[1]*z + ... + U0[4]*z^4
+ * V(z) = 1 + v0[0]*z + ... + v0[4]*z^5
+ * Note: For tiny x, 1/x dominate y1 and hence
+ * y1(tiny) = -2/pi/tiny, (choose tiny<2**-54)
+ * 3. For x>=2.
+ * y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x1)+q1(x)*cos(x1))
+ * where x1 = x-3*pi/4. It is better to compute sin(x1),cos(x1)
+ * by method mentioned above.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static __inline double pone(double), qone(double);
+
+static const volatile double vone = 1, vzero = 0;
+
+static const double
+huge = 1e300,
+one = 1.0,
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+tpi = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+ /* R0/S0 on [0,2] */
+r00 = -6.25000000000000000000e-02, /* 0xBFB00000, 0x00000000 */
+r01 = 1.40705666955189706048e-03, /* 0x3F570D9F, 0x98472C61 */
+r02 = -1.59955631084035597520e-05, /* 0xBEF0C5C6, 0xBA169668 */
+r03 = 4.96727999609584448412e-08, /* 0x3E6AAAFA, 0x46CA0BD9 */
+s01 = 1.91537599538363460805e-02, /* 0x3F939D0B, 0x12637E53 */
+s02 = 1.85946785588630915560e-04, /* 0x3F285F56, 0xB9CDF664 */
+s03 = 1.17718464042623683263e-06, /* 0x3EB3BFF8, 0x333F8498 */
+s04 = 5.04636257076217042715e-09, /* 0x3E35AC88, 0xC97DFF2C */
+s05 = 1.23542274426137913908e-11; /* 0x3DAB2ACF, 0xCFB97ED8 */
+
+static const double zero = 0.0;
+
+double
+__ieee754_j1(double x)
+{
+ double z, s,c,ss,cc,r,u,v,y;
+ int32_t hx,ix;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return one/x;
+ y = fabs(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(y);
+ c = cos(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure y+y not overflow */
+ z = cos(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x48000000) z = (invsqrtpi*cc)/sqrt(y);
+ else {
+ u = pone(y); v = qone(y);
+ z = invsqrtpi*(u*cc-v*ss)/sqrt(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x3e400000) { /* |x|<2**-27 */
+ if(huge+x>one) return 0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+ return(x*0.5+r/s);
+}
+
+static const double U0[5] = {
+ -1.96057090646238940668e-01, /* 0xBFC91866, 0x143CBC8A */
+ 5.04438716639811282616e-02, /* 0x3FA9D3C7, 0x76292CD1 */
+ -1.91256895875763547298e-03, /* 0xBF5F55E5, 0x4844F50F */
+ 2.35252600561610495928e-05, /* 0x3EF8AB03, 0x8FA6B88E */
+ -9.19099158039878874504e-08, /* 0xBE78AC00, 0x569105B8 */
+};
+static const double V0[5] = {
+ 1.99167318236649903973e-02, /* 0x3F94650D, 0x3F4DA9F0 */
+ 2.02552581025135171496e-04, /* 0x3F2A8C89, 0x6C257764 */
+ 1.35608801097516229404e-06, /* 0x3EB6C05A, 0x894E8CA6 */
+ 6.22741452364621501295e-09, /* 0x3E3ABF1D, 0x5BA69A86 */
+ 1.66559246207992079114e-11, /* 0x3DB25039, 0xDACA772A */
+};
+
+double
+__ieee754_y1(double x)
+{
+ double z, s,c,ss,cc,u,v;
+ int32_t hx,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /*
+ * y1(NaN) = NaN.
+ * y1(Inf) = 0.
+ * y1(-Inf) = NaN and raise invalid exception.
+ */
+ if(ix>=0x7ff00000) return vone/(x+x*x);
+ /* y1(+-0) = -inf and raise divide-by-zero exception. */
+ if((ix|lx)==0) return -one/vzero;
+ /* y1(x<0) = NaN and raise invalid exception. */
+ if(hx<0) return vzero/vzero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sin(x);
+ c = cos(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7fe00000) { /* make sure x+x not overflow */
+ z = cos(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x48000000) z = (invsqrtpi*ss)/sqrt(x);
+ else {
+ u = pone(x); v = qone(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrt(x);
+ }
+ return z;
+ }
+ if(ix<=0x3c900000) { /* x < 2**-54 */
+ return(-tpi/x);
+ }
+ z = x*x;
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return(x*(u/v) + tpi*(__ieee754_j1(x)*__ieee754_log(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+static const double pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ 1.17187499999988647970e-01, /* 0x3FBDFFFF, 0xFFFFFCCE */
+ 1.32394806593073575129e+01, /* 0x402A7A9D, 0x357F7FCE */
+ 4.12051854307378562225e+02, /* 0x4079C0D4, 0x652EA590 */
+ 3.87474538913960532227e+03, /* 0x40AE457D, 0xA3A532CC */
+ 7.91447954031891731574e+03, /* 0x40BEEA7A, 0xC32782DD */
+};
+static const double ps8[5] = {
+ 1.14207370375678408436e+02, /* 0x405C8D45, 0x8E656CAC */
+ 3.65093083420853463394e+03, /* 0x40AC85DC, 0x964D274F */
+ 3.69562060269033463555e+04, /* 0x40E20B86, 0x97C5BB7F */
+ 9.76027935934950801311e+04, /* 0x40F7D42C, 0xB28F17BB */
+ 3.08042720627888811578e+04, /* 0x40DE1511, 0x697A0B2D */
+};
+
+static const double pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ 1.31990519556243522749e-11, /* 0x3DAD0667, 0xDAE1CA7D */
+ 1.17187493190614097638e-01, /* 0x3FBDFFFF, 0xE2C10043 */
+ 6.80275127868432871736e+00, /* 0x401B3604, 0x6E6315E3 */
+ 1.08308182990189109773e+02, /* 0x405B13B9, 0x452602ED */
+ 5.17636139533199752805e+02, /* 0x40802D16, 0xD052D649 */
+ 5.28715201363337541807e+02, /* 0x408085B8, 0xBB7E0CB7 */
+};
+static const double ps5[5] = {
+ 5.92805987221131331921e+01, /* 0x404DA3EA, 0xA8AF633D */
+ 9.91401418733614377743e+02, /* 0x408EFB36, 0x1B066701 */
+ 5.35326695291487976647e+03, /* 0x40B4E944, 0x5706B6FB */
+ 7.84469031749551231769e+03, /* 0x40BEA4B0, 0xB8A5BB15 */
+ 1.50404688810361062679e+03, /* 0x40978030, 0x036F5E51 */
+};
+
+static const double pr3[6] = {
+ 3.02503916137373618024e-09, /* 0x3E29FC21, 0xA7AD9EDD */
+ 1.17186865567253592491e-01, /* 0x3FBDFFF5, 0x5B21D17B */
+ 3.93297750033315640650e+00, /* 0x400F76BC, 0xE85EAD8A */
+ 3.51194035591636932736e+01, /* 0x40418F48, 0x9DA6D129 */
+ 9.10550110750781271918e+01, /* 0x4056C385, 0x4D2C1837 */
+ 4.85590685197364919645e+01, /* 0x4048478F, 0x8EA83EE5 */
+};
+static const double ps3[5] = {
+ 3.47913095001251519989e+01, /* 0x40416549, 0xA134069C */
+ 3.36762458747825746741e+02, /* 0x40750C33, 0x07F1A75F */
+ 1.04687139975775130551e+03, /* 0x40905B7C, 0x5037D523 */
+ 8.90811346398256432622e+02, /* 0x408BD67D, 0xA32E31E9 */
+ 1.03787932439639277504e+02, /* 0x4059F26D, 0x7C2EED53 */
+};
+
+static const double pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ 1.07710830106873743082e-07, /* 0x3E7CE9D4, 0xF65544F4 */
+ 1.17176219462683348094e-01, /* 0x3FBDFF42, 0xBE760D83 */
+ 2.36851496667608785174e+00, /* 0x4002F2B7, 0xF98FAEC0 */
+ 1.22426109148261232917e+01, /* 0x40287C37, 0x7F71A964 */
+ 1.76939711271687727390e+01, /* 0x4031B1A8, 0x177F8EE2 */
+ 5.07352312588818499250e+00, /* 0x40144B49, 0xA574C1FE */
+};
+static const double ps2[5] = {
+ 2.14364859363821409488e+01, /* 0x40356FBD, 0x8AD5ECDC */
+ 1.25290227168402751090e+02, /* 0x405F5293, 0x14F92CD5 */
+ 2.32276469057162813669e+02, /* 0x406D08D8, 0xD5A2DBD9 */
+ 1.17679373287147100768e+02, /* 0x405D6B7A, 0xDA1884A9 */
+ 8.36463893371618283368e+00, /* 0x4020BAB1, 0xF44E5192 */
+};
+
+static __inline double
+pone(double x)
+{
+ const double *p,*q;
+ double z,r,s;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = pr8; q= ps8;}
+ else if(ix>=0x40122E8B){p = pr5; q= ps5;}
+ else if(ix>=0x4006DB6D){p = pr3; q= ps3;}
+ else {p = pr2; q= ps2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+static const double qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+ -1.02539062499992714161e-01, /* 0xBFBA3FFF, 0xFFFFFDF3 */
+ -1.62717534544589987888e+01, /* 0xC0304591, 0xA26779F7 */
+ -7.59601722513950107896e+02, /* 0xC087BCD0, 0x53E4B576 */
+ -1.18498066702429587167e+04, /* 0xC0C724E7, 0x40F87415 */
+ -4.84385124285750353010e+04, /* 0xC0E7A6D0, 0x65D09C6A */
+};
+static const double qs8[6] = {
+ 1.61395369700722909556e+02, /* 0x40642CA6, 0xDE5BCDE5 */
+ 7.82538599923348465381e+03, /* 0x40BE9162, 0xD0D88419 */
+ 1.33875336287249578163e+05, /* 0x4100579A, 0xB0B75E98 */
+ 7.19657723683240939863e+05, /* 0x4125F653, 0x72869C19 */
+ 6.66601232617776375264e+05, /* 0x412457D2, 0x7719AD5C */
+ -2.94490264303834643215e+05, /* 0xC111F969, 0x0EA5AA18 */
+};
+
+static const double qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ -2.08979931141764104297e-11, /* 0xBDB6FA43, 0x1AA1A098 */
+ -1.02539050241375426231e-01, /* 0xBFBA3FFF, 0xCB597FEF */
+ -8.05644828123936029840e+00, /* 0xC0201CE6, 0xCA03AD4B */
+ -1.83669607474888380239e+02, /* 0xC066F56D, 0x6CA7B9B0 */
+ -1.37319376065508163265e+03, /* 0xC09574C6, 0x6931734F */
+ -2.61244440453215656817e+03, /* 0xC0A468E3, 0x88FDA79D */
+};
+static const double qs5[6] = {
+ 8.12765501384335777857e+01, /* 0x405451B2, 0xFF5A11B2 */
+ 1.99179873460485964642e+03, /* 0x409F1F31, 0xE77BF839 */
+ 1.74684851924908907677e+04, /* 0x40D10F1F, 0x0D64CE29 */
+ 4.98514270910352279316e+04, /* 0x40E8576D, 0xAABAD197 */
+ 2.79480751638918118260e+04, /* 0x40DB4B04, 0xCF7C364B */
+ -4.71918354795128470869e+03, /* 0xC0B26F2E, 0xFCFFA004 */
+};
+
+static const double qr3[6] = {
+ -5.07831226461766561369e-09, /* 0xBE35CFA9, 0xD38FC84F */
+ -1.02537829820837089745e-01, /* 0xBFBA3FEB, 0x51AEED54 */
+ -4.61011581139473403113e+00, /* 0xC01270C2, 0x3302D9FF */
+ -5.78472216562783643212e+01, /* 0xC04CEC71, 0xC25D16DA */
+ -2.28244540737631695038e+02, /* 0xC06C87D3, 0x4718D55F */
+ -2.19210128478909325622e+02, /* 0xC06B66B9, 0x5F5C1BF6 */
+};
+static const double qs3[6] = {
+ 4.76651550323729509273e+01, /* 0x4047D523, 0xCCD367E4 */
+ 6.73865112676699709482e+02, /* 0x40850EEB, 0xC031EE3E */
+ 3.38015286679526343505e+03, /* 0x40AA684E, 0x448E7C9A */
+ 5.54772909720722782367e+03, /* 0x40B5ABBA, 0xA61D54A6 */
+ 1.90311919338810798763e+03, /* 0x409DBC7A, 0x0DD4DF4B */
+ -1.35201191444307340817e+02, /* 0xC060E670, 0x290A311F */
+};
+
+static const double qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ -1.78381727510958865572e-07, /* 0xBE87F126, 0x44C626D2 */
+ -1.02517042607985553460e-01, /* 0xBFBA3E8E, 0x9148B010 */
+ -2.75220568278187460720e+00, /* 0xC0060484, 0x69BB4EDA */
+ -1.96636162643703720221e+01, /* 0xC033A9E2, 0xC168907F */
+ -4.23253133372830490089e+01, /* 0xC04529A3, 0xDE104AAA */
+ -2.13719211703704061733e+01, /* 0xC0355F36, 0x39CF6E52 */
+};
+static const double qs2[6] = {
+ 2.95333629060523854548e+01, /* 0x403D888A, 0x78AE64FF */
+ 2.52981549982190529136e+02, /* 0x406F9F68, 0xDB821CBA */
+ 7.57502834868645436472e+02, /* 0x4087AC05, 0xCE49A0F7 */
+ 7.39393205320467245656e+02, /* 0x40871B25, 0x48D4C029 */
+ 1.55949003336666123687e+02, /* 0x40637E5E, 0x3C3ED8D4 */
+ -4.95949898822628210127e+00, /* 0xC013D686, 0xE71BE86B */
+};
+
+static __inline double
+qone(double x)
+{
+ const double *p,*q;
+ double s,r,z;
+ int32_t ix;
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x40200000) {p = qr8; q= qs8;}
+ else if(ix>=0x40122E8B){p = qr5; q= qs5;}
+ else if(ix>=0x4006DB6D){p = qr3; q= qs3;}
+ else {p = qr2; q= qs2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return (.375 + r/s)/x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_j1f.c b/libm/upstream-freebsd/lib/msun/src/e_j1f.c
new file mode 100644
index 0000000..0cca823
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_j1f.c
@@ -0,0 +1,340 @@
+/* e_j1f.c -- float version of e_j1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_j1f.c 283032 2015-05-17 16:27:06Z kargl $");
+
+/*
+ * See e_j1.c for complete comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static __inline float ponef(float), qonef(float);
+
+static const volatile float vone = 1, vzero = 0;
+
+static const float
+huge = 1e30,
+one = 1.0,
+invsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */
+tpi = 6.3661974669e-01, /* 0x3f22f983 */
+ /* R0/S0 on [0,2] */
+r00 = -6.2500000000e-02, /* 0xbd800000 */
+r01 = 1.4070566976e-03, /* 0x3ab86cfd */
+r02 = -1.5995563444e-05, /* 0xb7862e36 */
+r03 = 4.9672799207e-08, /* 0x335557d2 */
+s01 = 1.9153760746e-02, /* 0x3c9ce859 */
+s02 = 1.8594678841e-04, /* 0x3942fab6 */
+s03 = 1.1771846857e-06, /* 0x359dffc2 */
+s04 = 5.0463624390e-09, /* 0x31ad6446 */
+s05 = 1.2354227016e-11; /* 0x2d59567e */
+
+static const float zero = 0.0;
+
+float
+__ieee754_j1f(float x)
+{
+ float z, s,c,ss,cc,r,u,v,y;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return one/x;
+ y = fabsf(x);
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(y);
+ c = cosf(y);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure y+y not overflow */
+ z = cosf(y+y);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /*
+ * j1(x) = 1/sqrt(pi) * (P(1,x)*cc - Q(1,x)*ss) / sqrt(x)
+ * y1(x) = 1/sqrt(pi) * (P(1,x)*ss + Q(1,x)*cc) / sqrt(x)
+ */
+ if(ix>0x58000000) z = (invsqrtpi*cc)/sqrtf(y); /* |x|>2**49 */
+ else {
+ u = ponef(y); v = qonef(y);
+ z = invsqrtpi*(u*cc-v*ss)/sqrtf(y);
+ }
+ if(hx<0) return -z;
+ else return z;
+ }
+ if(ix<0x39000000) { /* |x|<2**-13 */
+ if(huge+x>one) return (float)0.5*x;/* inexact if x!=0 necessary */
+ }
+ z = x*x;
+ r = z*(r00+z*(r01+z*(r02+z*r03)));
+ s = one+z*(s01+z*(s02+z*(s03+z*(s04+z*s05))));
+ r *= x;
+ return(x*(float)0.5+r/s);
+}
+
+static const float U0[5] = {
+ -1.9605709612e-01, /* 0xbe48c331 */
+ 5.0443872809e-02, /* 0x3d4e9e3c */
+ -1.9125689287e-03, /* 0xbafaaf2a */
+ 2.3525259166e-05, /* 0x37c5581c */
+ -9.1909917899e-08, /* 0xb3c56003 */
+};
+static const float V0[5] = {
+ 1.9916731864e-02, /* 0x3ca3286a */
+ 2.0255257550e-04, /* 0x3954644b */
+ 1.3560879779e-06, /* 0x35b602d4 */
+ 6.2274145840e-09, /* 0x31d5f8eb */
+ 1.6655924903e-11, /* 0x2d9281cf */
+};
+
+float
+__ieee754_y1f(float x)
+{
+ float z, s,c,ss,cc,u,v;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ if(ix>=0x7f800000) return vone/(x+x*x);
+ if(ix==0) return -one/vzero;
+ if(hx<0) return vzero/vzero;
+ if(ix >= 0x40000000) { /* |x| >= 2.0 */
+ s = sinf(x);
+ c = cosf(x);
+ ss = -s-c;
+ cc = s-c;
+ if(ix<0x7f000000) { /* make sure x+x not overflow */
+ z = cosf(x+x);
+ if ((s*c)>zero) cc = z/ss;
+ else ss = z/cc;
+ }
+ /* y1(x) = sqrt(2/(pi*x))*(p1(x)*sin(x0)+q1(x)*cos(x0))
+ * where x0 = x-3pi/4
+ * Better formula:
+ * cos(x0) = cos(x)cos(3pi/4)+sin(x)sin(3pi/4)
+ * = 1/sqrt(2) * (sin(x) - cos(x))
+ * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4)
+ * = -1/sqrt(2) * (cos(x) + sin(x))
+ * To avoid cancellation, use
+ * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x))
+ * to compute the worse one.
+ */
+ if(ix>0x58000000) z = (invsqrtpi*ss)/sqrtf(x); /* |x|>2**49 */
+ else {
+ u = ponef(x); v = qonef(x);
+ z = invsqrtpi*(u*ss+v*cc)/sqrtf(x);
+ }
+ return z;
+ }
+ if(ix<=0x33000000) { /* x < 2**-25 */
+ return(-tpi/x);
+ }
+ z = x*x;
+ u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4])));
+ v = one+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4]))));
+ return(x*(u/v) + tpi*(__ieee754_j1f(x)*__ieee754_logf(x)-one/x));
+}
+
+/* For x >= 8, the asymptotic expansions of pone is
+ * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x.
+ * We approximate pone by
+ * pone(x) = 1 + (R/S)
+ * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10
+ * S = 1 + ps0*s^2 + ... + ps4*s^10
+ * and
+ * | pone(x)-1-R/S | <= 2 ** ( -60.06)
+ */
+
+static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.0000000000e+00, /* 0x00000000 */
+ 1.1718750000e-01, /* 0x3df00000 */
+ 1.3239480972e+01, /* 0x4153d4ea */
+ 4.1205184937e+02, /* 0x43ce06a3 */
+ 3.8747453613e+03, /* 0x45722bed */
+ 7.9144794922e+03, /* 0x45f753d6 */
+};
+static const float ps8[5] = {
+ 1.1420736694e+02, /* 0x42e46a2c */
+ 3.6509309082e+03, /* 0x45642ee5 */
+ 3.6956207031e+04, /* 0x47105c35 */
+ 9.7602796875e+04, /* 0x47bea166 */
+ 3.0804271484e+04, /* 0x46f0a88b */
+};
+
+static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ 1.3199052094e-11, /* 0x2d68333f */
+ 1.1718749255e-01, /* 0x3defffff */
+ 6.8027510643e+00, /* 0x40d9b023 */
+ 1.0830818176e+02, /* 0x42d89dca */
+ 5.1763616943e+02, /* 0x440168b7 */
+ 5.2871520996e+02, /* 0x44042dc6 */
+};
+static const float ps5[5] = {
+ 5.9280597687e+01, /* 0x426d1f55 */
+ 9.9140142822e+02, /* 0x4477d9b1 */
+ 5.3532670898e+03, /* 0x45a74a23 */
+ 7.8446904297e+03, /* 0x45f52586 */
+ 1.5040468750e+03, /* 0x44bc0180 */
+};
+
+static const float pr3[6] = {
+ 3.0250391081e-09, /* 0x314fe10d */
+ 1.1718686670e-01, /* 0x3defffab */
+ 3.9329774380e+00, /* 0x407bb5e7 */
+ 3.5119403839e+01, /* 0x420c7a45 */
+ 9.1055007935e+01, /* 0x42b61c2a */
+ 4.8559066772e+01, /* 0x42423c7c */
+};
+static const float ps3[5] = {
+ 3.4791309357e+01, /* 0x420b2a4d */
+ 3.3676245117e+02, /* 0x43a86198 */
+ 1.0468714600e+03, /* 0x4482dbe3 */
+ 8.9081134033e+02, /* 0x445eb3ed */
+ 1.0378793335e+02, /* 0x42cf936c */
+};
+
+static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ 1.0771083225e-07, /* 0x33e74ea8 */
+ 1.1717621982e-01, /* 0x3deffa16 */
+ 2.3685150146e+00, /* 0x401795c0 */
+ 1.2242610931e+01, /* 0x4143e1bc */
+ 1.7693971634e+01, /* 0x418d8d41 */
+ 5.0735230446e+00, /* 0x40a25a4d */
+};
+static const float ps2[5] = {
+ 2.1436485291e+01, /* 0x41ab7dec */
+ 1.2529022980e+02, /* 0x42fa9499 */
+ 2.3227647400e+02, /* 0x436846c7 */
+ 1.1767937469e+02, /* 0x42eb5bd7 */
+ 8.3646392822e+00, /* 0x4105d590 */
+};
+
+static __inline float
+ponef(float x)
+{
+ const float *p,*q;
+ float z,r,s;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = pr8; q= ps8;}
+ else if(ix>=0x409173eb){p = pr5; q= ps5;}
+ else if(ix>=0x4036d917){p = pr3; q= ps3;}
+ else {p = pr2; q= ps2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4]))));
+ return one+ r/s;
+}
+
+
+/* For x >= 8, the asymptotic expansions of qone is
+ * 3/8 s - 105/1024 s^3 - ..., where s = 1/x.
+ * We approximate pone by
+ * qone(x) = s*(0.375 + (R/S))
+ * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10
+ * S = 1 + qs1*s^2 + ... + qs6*s^12
+ * and
+ * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13)
+ */
+
+static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */
+ 0.0000000000e+00, /* 0x00000000 */
+ -1.0253906250e-01, /* 0xbdd20000 */
+ -1.6271753311e+01, /* 0xc1822c8d */
+ -7.5960174561e+02, /* 0xc43de683 */
+ -1.1849806641e+04, /* 0xc639273a */
+ -4.8438511719e+04, /* 0xc73d3683 */
+};
+static const float qs8[6] = {
+ 1.6139537048e+02, /* 0x43216537 */
+ 7.8253862305e+03, /* 0x45f48b17 */
+ 1.3387534375e+05, /* 0x4802bcd6 */
+ 7.1965775000e+05, /* 0x492fb29c */
+ 6.6660125000e+05, /* 0x4922be94 */
+ -2.9449025000e+05, /* 0xc88fcb48 */
+};
+
+static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */
+ -2.0897993405e-11, /* 0xadb7d219 */
+ -1.0253904760e-01, /* 0xbdd1fffe */
+ -8.0564479828e+00, /* 0xc100e736 */
+ -1.8366960144e+02, /* 0xc337ab6b */
+ -1.3731937256e+03, /* 0xc4aba633 */
+ -2.6124443359e+03, /* 0xc523471c */
+};
+static const float qs5[6] = {
+ 8.1276550293e+01, /* 0x42a28d98 */
+ 1.9917987061e+03, /* 0x44f8f98f */
+ 1.7468484375e+04, /* 0x468878f8 */
+ 4.9851425781e+04, /* 0x4742bb6d */
+ 2.7948074219e+04, /* 0x46da5826 */
+ -4.7191835938e+03, /* 0xc5937978 */
+};
+
+static const float qr3[6] = {
+ -5.0783124372e-09, /* 0xb1ae7d4f */
+ -1.0253783315e-01, /* 0xbdd1ff5b */
+ -4.6101160049e+00, /* 0xc0938612 */
+ -5.7847221375e+01, /* 0xc267638e */
+ -2.2824453735e+02, /* 0xc3643e9a */
+ -2.1921012878e+02, /* 0xc35b35cb */
+};
+static const float qs3[6] = {
+ 4.7665153503e+01, /* 0x423ea91e */
+ 6.7386511230e+02, /* 0x4428775e */
+ 3.3801528320e+03, /* 0x45534272 */
+ 5.5477290039e+03, /* 0x45ad5dd5 */
+ 1.9031191406e+03, /* 0x44ede3d0 */
+ -1.3520118713e+02, /* 0xc3073381 */
+};
+
+static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */
+ -1.7838172539e-07, /* 0xb43f8932 */
+ -1.0251704603e-01, /* 0xbdd1f475 */
+ -2.7522056103e+00, /* 0xc0302423 */
+ -1.9663616180e+01, /* 0xc19d4f16 */
+ -4.2325313568e+01, /* 0xc2294d1f */
+ -2.1371921539e+01, /* 0xc1aaf9b2 */
+};
+static const float qs2[6] = {
+ 2.9533363342e+01, /* 0x41ec4454 */
+ 2.5298155212e+02, /* 0x437cfb47 */
+ 7.5750280762e+02, /* 0x443d602e */
+ 7.3939318848e+02, /* 0x4438d92a */
+ 1.5594900513e+02, /* 0x431bf2f2 */
+ -4.9594988823e+00, /* 0xc09eb437 */
+};
+
+static __inline float
+qonef(float x)
+{
+ const float *p,*q;
+ float s,r,z;
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ if(ix>=0x41000000) {p = qr8; q= qs8;}
+ else if(ix>=0x409173eb){p = qr5; q= qs5;}
+ else if(ix>=0x4036d917){p = qr3; q= qs3;}
+ else {p = qr2; q= qs2;} /* ix>=0x40000000 */
+ z = one/(x*x);
+ r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5]))));
+ s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5])))));
+ return ((float).375 + r/s)/x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_jn.c b/libm/upstream-freebsd/lib/msun/src/e_jn.c
new file mode 100644
index 0000000..a1130c5
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_jn.c
@@ -0,0 +1,274 @@
+
+/* @(#)e_jn.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_jn.c 279856 2015-03-10 17:10:54Z kargl $");
+
+/*
+ * __ieee754_jn(n, x), __ieee754_yn(n, x)
+ * floating point Bessel's function of the 1st and 2nd kind
+ * of order n
+ *
+ * Special cases:
+ * y0(0)=y1(0)=yn(n,0) = -inf with division by zero signal;
+ * y0(-ve)=y1(-ve)=yn(n,-ve) are NaN with invalid signal.
+ * Note 2. About jn(n,x), yn(n,x)
+ * For n=0, j0(x) is called,
+ * for n=1, j1(x) is called,
+ * for n<x, forward recursion us used starting
+ * from values of j0(x) and j1(x).
+ * for n>x, a continued fraction approximation to
+ * j(n,x)/j(n-1,x) is evaluated and then backward
+ * recursion is used starting from a supposed value
+ * for j(n,x). The resulting value of j(0,x) is
+ * compared with the actual value to correct the
+ * supposed value of j(n,x).
+ *
+ * yn(n,x) is similar in all respects, except
+ * that forward recursion is used for all
+ * values of n>1.
+ *
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile double vone = 1, vzero = 0;
+
+static const double
+invsqrtpi= 5.64189583547756279280e-01, /* 0x3FE20DD7, 0x50429B6D */
+two = 2.00000000000000000000e+00, /* 0x40000000, 0x00000000 */
+one = 1.00000000000000000000e+00; /* 0x3FF00000, 0x00000000 */
+
+static const double zero = 0.00000000000000000000e+00;
+
+double
+__ieee754_jn(int n, double x)
+{
+ int32_t i,hx,ix,lx, sgn;
+ double a, b, temp, di;
+ double z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0(x));
+ if(n==1) return(__ieee754_j1(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabs(x);
+ if((ix|lx)==0||ix>=0x7ff00000) /* if x is 0 or inf */
+ b = zero;
+ else if((double)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = cos(x)+sin(x); break;
+ case 1: temp = -cos(x)+sin(x); break;
+ case 2: temp = -cos(x)-sin(x); break;
+ case 3: temp = cos(x)-sin(x); break;
+ }
+ b = invsqrtpi*temp/sqrt(x);
+ } else {
+ a = __ieee754_j0(x);
+ b = __ieee754_j1(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((double)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ }
+ } else {
+ if(ix<0x3e100000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (double)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ double t,v;
+ double q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(double)x; h = 2.0/(double)x;
+ q0 = w; z = w+h; q1 = w*z - 1.0; k=1;
+ while(q1<1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_log(fabs(v*tmp));
+ if(tmp<7.09782712893383973096e+02) {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(double)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>1e100) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ z = __ieee754_j0(x);
+ w = __ieee754_j1(x);
+ if (fabs(z) >= fabs(w))
+ b = (t*z/b);
+ else
+ b = (t*w/a);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+double
+__ieee754_yn(int n, double x)
+{
+ int32_t i,hx,ix,lx;
+ int32_t sign;
+ double a, b, temp;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ /* yn(n,NaN) = NaN */
+ if((ix|((u_int32_t)(lx|-lx))>>31)>0x7ff00000) return x+x;
+ /* yn(n,+-0) = -inf and raise divide-by-zero exception. */
+ if((ix|lx)==0) return -one/vzero;
+ /* yn(n,x<0) = NaN and raise invalid exception. */
+ if(hx<0) return vzero/vzero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<1);
+ }
+ if(n==0) return(__ieee754_y0(x));
+ if(n==1) return(sign*__ieee754_y1(x));
+ if(ix==0x7ff00000) return zero;
+ if(ix>=0x52D00000) { /* x > 2**302 */
+ /* (x >> n**2)
+ * Jn(x) = cos(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Yn(x) = sin(x-(2n+1)*pi/4)*sqrt(2/x*pi)
+ * Let s=sin(x), c=cos(x),
+ * xn=x-(2n+1)*pi/4, sqt2 = sqrt(2),then
+ *
+ * n sin(xn)*sqt2 cos(xn)*sqt2
+ * ----------------------------------
+ * 0 s-c c+s
+ * 1 -s-c -c+s
+ * 2 -s+c -c-s
+ * 3 s+c c-s
+ */
+ switch(n&3) {
+ case 0: temp = sin(x)-cos(x); break;
+ case 1: temp = -sin(x)-cos(x); break;
+ case 2: temp = -sin(x)+cos(x); break;
+ case 3: temp = sin(x)+cos(x); break;
+ }
+ b = invsqrtpi*temp/sqrt(x);
+ } else {
+ u_int32_t high;
+ a = __ieee754_y0(x);
+ b = __ieee754_y1(x);
+ /* quit if b is -inf */
+ GET_HIGH_WORD(high,b);
+ for(i=1;i<n&&high!=0xfff00000;i++){
+ temp = b;
+ b = ((double)(i+i)/x)*b - a;
+ GET_HIGH_WORD(high,b);
+ a = temp;
+ }
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_jnf.c b/libm/upstream-freebsd/lib/msun/src/e_jnf.c
new file mode 100644
index 0000000..c82d5cf
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_jnf.c
@@ -0,0 +1,204 @@
+/* e_jnf.c -- float version of e_jn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/e_jnf.c 279856 2015-03-10 17:10:54Z kargl $");
+
+/*
+ * See e_jn.c for complete comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float vone = 1, vzero = 0;
+
+static const float
+two = 2.0000000000e+00, /* 0x40000000 */
+one = 1.0000000000e+00; /* 0x3F800000 */
+
+static const float zero = 0.0000000000e+00;
+
+float
+__ieee754_jnf(int n, float x)
+{
+ int32_t i,hx,ix, sgn;
+ float a, b, temp, di;
+ float z, w;
+
+ /* J(-n,x) = (-1)^n * J(n, x), J(n, -x) = (-1)^n * J(n, x)
+ * Thus, J(-n,x) = J(n,-x)
+ */
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ /* if J(n,NaN) is NaN */
+ if(ix>0x7f800000) return x+x;
+ if(n<0){
+ n = -n;
+ x = -x;
+ hx ^= 0x80000000;
+ }
+ if(n==0) return(__ieee754_j0f(x));
+ if(n==1) return(__ieee754_j1f(x));
+ sgn = (n&1)&(hx>>31); /* even n -- 0, odd n -- sign(x) */
+ x = fabsf(x);
+ if(ix==0||ix>=0x7f800000) /* if x is 0 or inf */
+ b = zero;
+ else if((float)n<=x) {
+ /* Safe to use J(n+1,x)=2n/x *J(n,x)-J(n-1,x) */
+ a = __ieee754_j0f(x);
+ b = __ieee754_j1f(x);
+ for(i=1;i<n;i++){
+ temp = b;
+ b = b*((float)(i+i)/x) - a; /* avoid underflow */
+ a = temp;
+ }
+ } else {
+ if(ix<0x30800000) { /* x < 2**-29 */
+ /* x is tiny, return the first Taylor expansion of J(n,x)
+ * J(n,x) = 1/n!*(x/2)^n - ...
+ */
+ if(n>33) /* underflow */
+ b = zero;
+ else {
+ temp = x*(float)0.5; b = temp;
+ for (a=one,i=2;i<=n;i++) {
+ a *= (float)i; /* a = n! */
+ b *= temp; /* b = (x/2)^n */
+ }
+ b = b/a;
+ }
+ } else {
+ /* use backward recurrence */
+ /* x x^2 x^2
+ * J(n,x)/J(n-1,x) = ---- ------ ------ .....
+ * 2n - 2(n+1) - 2(n+2)
+ *
+ * 1 1 1
+ * (for large x) = ---- ------ ------ .....
+ * 2n 2(n+1) 2(n+2)
+ * -- - ------ - ------ -
+ * x x x
+ *
+ * Let w = 2n/x and h=2/x, then the above quotient
+ * is equal to the continued fraction:
+ * 1
+ * = -----------------------
+ * 1
+ * w - -----------------
+ * 1
+ * w+h - ---------
+ * w+2h - ...
+ *
+ * To determine how many terms needed, let
+ * Q(0) = w, Q(1) = w(w+h) - 1,
+ * Q(k) = (w+k*h)*Q(k-1) - Q(k-2),
+ * When Q(k) > 1e4 good for single
+ * When Q(k) > 1e9 good for double
+ * When Q(k) > 1e17 good for quadruple
+ */
+ /* determine k */
+ float t,v;
+ float q0,q1,h,tmp; int32_t k,m;
+ w = (n+n)/(float)x; h = (float)2.0/(float)x;
+ q0 = w; z = w+h; q1 = w*z - (float)1.0; k=1;
+ while(q1<(float)1.0e9) {
+ k += 1; z += h;
+ tmp = z*q1 - q0;
+ q0 = q1;
+ q1 = tmp;
+ }
+ m = n+n;
+ for(t=zero, i = 2*(n+k); i>=m; i -= 2) t = one/(i/x-t);
+ a = t;
+ b = one;
+ /* estimate log((2/x)^n*n!) = n*log(2/x)+n*ln(n)
+ * Hence, if n*(log(2n/x)) > ...
+ * single 8.8722839355e+01
+ * double 7.09782712893383973096e+02
+ * long double 1.1356523406294143949491931077970765006170e+04
+ * then recurrent value may overflow and the result is
+ * likely underflow to zero
+ */
+ tmp = n;
+ v = two/x;
+ tmp = tmp*__ieee754_logf(fabsf(v*tmp));
+ if(tmp<(float)8.8721679688e+01) {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ }
+ } else {
+ for(i=n-1,di=(float)(i+i);i>0;i--){
+ temp = b;
+ b *= di;
+ b = b/x - a;
+ a = temp;
+ di -= two;
+ /* scale b to avoid spurious overflow */
+ if(b>(float)1e10) {
+ a /= b;
+ t /= b;
+ b = one;
+ }
+ }
+ }
+ z = __ieee754_j0f(x);
+ w = __ieee754_j1f(x);
+ if (fabsf(z) >= fabsf(w))
+ b = (t*z/b);
+ else
+ b = (t*w/a);
+ }
+ }
+ if(sgn==1) return -b; else return b;
+}
+
+float
+__ieee754_ynf(int n, float x)
+{
+ int32_t i,hx,ix,ib;
+ int32_t sign;
+ float a, b, temp;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ if(ix>0x7f800000) return x+x;
+ if(ix==0) return -one/vzero;
+ if(hx<0) return vzero/vzero;
+ sign = 1;
+ if(n<0){
+ n = -n;
+ sign = 1 - ((n&1)<<1);
+ }
+ if(n==0) return(__ieee754_y0f(x));
+ if(n==1) return(sign*__ieee754_y1f(x));
+ if(ix==0x7f800000) return zero;
+
+ a = __ieee754_y0f(x);
+ b = __ieee754_y1f(x);
+ /* quit if b is -inf */
+ GET_FLOAT_WORD(ib,b);
+ for(i=1;i<n&&ib!=0xff800000;i++){
+ temp = b;
+ b = ((float)(i+i)/x)*b - a;
+ GET_FLOAT_WORD(ib,b);
+ a = temp;
+ }
+ if(sign>0) return b; else return -b;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgamma.c b/libm/upstream-freebsd/lib/msun/src/e_lgamma.c
new file mode 100644
index 0000000..43f5175
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgamma.c
@@ -0,0 +1,39 @@
+
+/* @(#)e_lgamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_lgamma(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgamma_r
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+double
+__ieee754_lgamma(double x)
+{
+ return __ieee754_lgamma_r(x,&signgam);
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(lgamma, lgammal);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c b/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c
new file mode 100644
index 0000000..be70767
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgamma_r.c
@@ -0,0 +1,303 @@
+/* @(#)e_lgamma_r.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_lgamma_r(x, signgamp)
+ * Reentrant version of the logarithm of the Gamma function
+ * with user provide pointer for the sign of Gamma(x).
+ *
+ * Method:
+ * 1. Argument Reduction for 0 < x <= 8
+ * Since gamma(1+s)=s*gamma(s), for x in [0,8], we may
+ * reduce x to a number in [1.5,2.5] by
+ * lgamma(1+s) = log(s) + lgamma(s)
+ * for example,
+ * lgamma(7.3) = log(6.3) + lgamma(6.3)
+ * = log(6.3*5.3) + lgamma(5.3)
+ * = log(6.3*5.3*4.3*3.3*2.3) + lgamma(2.3)
+ * 2. Polynomial approximation of lgamma around its
+ * minimun ymin=1.461632144968362245 to maintain monotonicity.
+ * On [ymin-0.23, ymin+0.27] (i.e., [1.23164,1.73163]), use
+ * Let z = x-ymin;
+ * lgamma(x) = -1.214862905358496078218 + z^2*poly(z)
+ * where
+ * poly(z) is a 14 degree polynomial.
+ * 2. Rational approximation in the primary interval [2,3]
+ * We use the following approximation:
+ * s = x-2.0;
+ * lgamma(x) = 0.5*s + s*P(s)/Q(s)
+ * with accuracy
+ * |P/Q - (lgamma(x)-0.5s)| < 2**-61.71
+ * Our algorithms are based on the following observation
+ *
+ * zeta(2)-1 2 zeta(3)-1 3
+ * lgamma(2+s) = s*(1-Euler) + --------- * s - --------- * s + ...
+ * 2 3
+ *
+ * where Euler = 0.5771... is the Euler constant, which is very
+ * close to 0.5.
+ *
+ * 3. For x>=8, we have
+ * lgamma(x)~(x-0.5)log(x)-x+0.5*log(2pi)+1/(12x)-1/(360x**3)+....
+ * (better formula:
+ * lgamma(x)~(x-0.5)*(log(x)-1)-.5*(log(2pi)-1) + ...)
+ * Let z = 1/x, then we approximation
+ * f(z) = lgamma(x) - (x-0.5)(log(x)-1)
+ * by
+ * 3 5 11
+ * w = w0 + w1*z + w2*z + w3*z + ... + w6*z
+ * where
+ * |w - f(z)| < 2**-58.74
+ *
+ * 4. For negative x, since (G is gamma function)
+ * -x*G(-x)*G(x) = pi/sin(pi*x),
+ * we have
+ * G(x) = pi/(sin(pi*x)*(-x)*G(-x))
+ * since G(-x) is positive, sign(G(x)) = sign(sin(pi*x)) for x<0
+ * Hence, for x<0, signgam = sign(sin(pi*x)) and
+ * lgamma(x) = log(|Gamma(x)|)
+ * = log(pi/(|x*sin(pi*x)|)) - lgamma(-x);
+ * Note: one should avoid compute pi*(-x) directly in the
+ * computation of sin(pi*(-x)).
+ *
+ * 5. Special Cases
+ * lgamma(2+s) ~ s*(1-Euler) for tiny s
+ * lgamma(1) = lgamma(2) = 0
+ * lgamma(x) ~ -log(|x|) for tiny x
+ * lgamma(0) = lgamma(neg.integer) = inf and raise divide-by-zero
+ * lgamma(inf) = inf
+ * lgamma(-inf) = inf (bug for bug compatible with C99!?)
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile double vzero = 0;
+
+static const double
+zero= 0.00000000000000000000e+00,
+half= 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */
+a0 = 7.72156649015328655494e-02, /* 0x3FB3C467, 0xE37DB0C8 */
+a1 = 3.22467033424113591611e-01, /* 0x3FD4A34C, 0xC4A60FAD */
+a2 = 6.73523010531292681824e-02, /* 0x3FB13E00, 0x1A5562A7 */
+a3 = 2.05808084325167332806e-02, /* 0x3F951322, 0xAC92547B */
+a4 = 7.38555086081402883957e-03, /* 0x3F7E404F, 0xB68FEFE8 */
+a5 = 2.89051383673415629091e-03, /* 0x3F67ADD8, 0xCCB7926B */
+a6 = 1.19270763183362067845e-03, /* 0x3F538A94, 0x116F3F5D */
+a7 = 5.10069792153511336608e-04, /* 0x3F40B6C6, 0x89B99C00 */
+a8 = 2.20862790713908385557e-04, /* 0x3F2CF2EC, 0xED10E54D */
+a9 = 1.08011567247583939954e-04, /* 0x3F1C5088, 0x987DFB07 */
+a10 = 2.52144565451257326939e-05, /* 0x3EFA7074, 0x428CFA52 */
+a11 = 4.48640949618915160150e-05, /* 0x3F07858E, 0x90A45837 */
+tc = 1.46163214496836224576e+00, /* 0x3FF762D8, 0x6356BE3F */
+tf = -1.21486290535849611461e-01, /* 0xBFBF19B9, 0xBCC38A42 */
+/* tt = -(tail of tf) */
+tt = -3.63867699703950536541e-18, /* 0xBC50C7CA, 0xA48A971F */
+t0 = 4.83836122723810047042e-01, /* 0x3FDEF72B, 0xC8EE38A2 */
+t1 = -1.47587722994593911752e-01, /* 0xBFC2E427, 0x8DC6C509 */
+t2 = 6.46249402391333854778e-02, /* 0x3FB08B42, 0x94D5419B */
+t3 = -3.27885410759859649565e-02, /* 0xBFA0C9A8, 0xDF35B713 */
+t4 = 1.79706750811820387126e-02, /* 0x3F9266E7, 0x970AF9EC */
+t5 = -1.03142241298341437450e-02, /* 0xBF851F9F, 0xBA91EC6A */
+t6 = 6.10053870246291332635e-03, /* 0x3F78FCE0, 0xE370E344 */
+t7 = -3.68452016781138256760e-03, /* 0xBF6E2EFF, 0xB3E914D7 */
+t8 = 2.25964780900612472250e-03, /* 0x3F6282D3, 0x2E15C915 */
+t9 = -1.40346469989232843813e-03, /* 0xBF56FE8E, 0xBF2D1AF1 */
+t10 = 8.81081882437654011382e-04, /* 0x3F4CDF0C, 0xEF61A8E9 */
+t11 = -5.38595305356740546715e-04, /* 0xBF41A610, 0x9C73E0EC */
+t12 = 3.15632070903625950361e-04, /* 0x3F34AF6D, 0x6C0EBBF7 */
+t13 = -3.12754168375120860518e-04, /* 0xBF347F24, 0xECC38C38 */
+t14 = 3.35529192635519073543e-04, /* 0x3F35FD3E, 0xE8C2D3F4 */
+u0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+u1 = 6.32827064025093366517e-01, /* 0x3FE4401E, 0x8B005DFF */
+u2 = 1.45492250137234768737e+00, /* 0x3FF7475C, 0xD119BD6F */
+u3 = 9.77717527963372745603e-01, /* 0x3FEF4976, 0x44EA8450 */
+u4 = 2.28963728064692451092e-01, /* 0x3FCD4EAE, 0xF6010924 */
+u5 = 1.33810918536787660377e-02, /* 0x3F8B678B, 0xBF2BAB09 */
+v1 = 2.45597793713041134822e+00, /* 0x4003A5D7, 0xC2BD619C */
+v2 = 2.12848976379893395361e+00, /* 0x40010725, 0xA42B18F5 */
+v3 = 7.69285150456672783825e-01, /* 0x3FE89DFB, 0xE45050AF */
+v4 = 1.04222645593369134254e-01, /* 0x3FBAAE55, 0xD6537C88 */
+v5 = 3.21709242282423911810e-03, /* 0x3F6A5ABB, 0x57D0CF61 */
+s0 = -7.72156649015328655494e-02, /* 0xBFB3C467, 0xE37DB0C8 */
+s1 = 2.14982415960608852501e-01, /* 0x3FCB848B, 0x36E20878 */
+s2 = 3.25778796408930981787e-01, /* 0x3FD4D98F, 0x4F139F59 */
+s3 = 1.46350472652464452805e-01, /* 0x3FC2BB9C, 0xBEE5F2F7 */
+s4 = 2.66422703033638609560e-02, /* 0x3F9B481C, 0x7E939961 */
+s5 = 1.84028451407337715652e-03, /* 0x3F5E26B6, 0x7368F239 */
+s6 = 3.19475326584100867617e-05, /* 0x3F00BFEC, 0xDD17E945 */
+r1 = 1.39200533467621045958e+00, /* 0x3FF645A7, 0x62C4AB74 */
+r2 = 7.21935547567138069525e-01, /* 0x3FE71A18, 0x93D3DCDC */
+r3 = 1.71933865632803078993e-01, /* 0x3FC601ED, 0xCCFBDF27 */
+r4 = 1.86459191715652901344e-02, /* 0x3F9317EA, 0x742ED475 */
+r5 = 7.77942496381893596434e-04, /* 0x3F497DDA, 0xCA41A95B */
+r6 = 7.32668430744625636189e-06, /* 0x3EDEBAF7, 0xA5B38140 */
+w0 = 4.18938533204672725052e-01, /* 0x3FDACFE3, 0x90C97D69 */
+w1 = 8.33333333333329678849e-02, /* 0x3FB55555, 0x5555553B */
+w2 = -2.77777777728775536470e-03, /* 0xBF66C16C, 0x16B02E5C */
+w3 = 7.93650558643019558500e-04, /* 0x3F4A019F, 0x98CF38B6 */
+w4 = -5.95187557450339963135e-04, /* 0xBF4380CB, 0x8C0FE741 */
+w5 = 8.36339918996282139126e-04, /* 0x3F4B67BA, 0x4CDAD5D1 */
+w6 = -1.63092934096575273989e-03; /* 0xBF5AB89D, 0x0B9E43E4 */
+
+/*
+ * Compute sin(pi*x) without actually doing the pi*x multiplication.
+ * sin_pi(x) is only called for x < 0 and |x| < 2**(p-1) where p is
+ * the precision of x.
+ */
+static double
+sin_pi(double x)
+{
+ volatile double vz;
+ double y,z;
+ int n;
+
+ y = -x;
+
+ vz = y+0x1p52; /* depend on 0 <= y < 0x1p52 */
+ z = vz-0x1p52; /* rint(y) for the above range */
+ if (z == y)
+ return zero;
+
+ vz = y+0x1p50;
+ GET_LOW_WORD(n,vz); /* bits for rounded y (units 0.25) */
+ z = vz-0x1p50; /* y rounded to a multiple of 0.25 */
+ if (z > y) {
+ z -= 0.25; /* adjust to round down */
+ n--;
+ }
+ n &= 7; /* octant of y mod 2 */
+ y = y - z + n * 0.25; /* y mod 2 */
+
+ switch (n) {
+ case 0: y = __kernel_sin(pi*y,zero,0); break;
+ case 1:
+ case 2: y = __kernel_cos(pi*(0.5-y),zero); break;
+ case 3:
+ case 4: y = __kernel_sin(pi*(one-y),zero,0); break;
+ case 5:
+ case 6: y = -__kernel_cos(pi*(y-1.5),zero); break;
+ default: y = __kernel_sin(pi*(y-2.0),zero,0); break;
+ }
+ return -y;
+}
+
+
+double
+__ieee754_lgamma_r(double x, int *signgamp)
+{
+ double nadj,p,p1,p2,p3,q,r,t,w,y,z;
+ int32_t hx;
+ int i,ix,lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ /* purge +-Inf and NaNs */
+ *signgamp = 1;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x*x;
+
+ /* purge +-0 and tiny arguments */
+ *signgamp = 1-2*((uint32_t)hx>>31);
+ if(ix<0x3c700000) { /* |x|<2**-56, return -log(|x|) */
+ if((ix|lx)==0)
+ return one/vzero;
+ return -__ieee754_log(fabs(x));
+ }
+
+ /* purge negative integers and start evaluation for other x < 0 */
+ if(hx<0) {
+ *signgamp = 1;
+ if(ix>=0x43300000) /* |x|>=2**52, must be -integer */
+ return one/vzero;
+ t = sin_pi(x);
+ if(t==zero) return one/vzero; /* -integer */
+ nadj = __ieee754_log(pi/fabs(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge 1 and 2 */
+ if((((ix-0x3ff00000)|lx)==0)||(((ix-0x40000000)|lx)==0)) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3feccccc) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_log(x);
+ if(ix>=0x3FE76944) {y = one-x; i= 0;}
+ else if(ix>=0x3FCDA661) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3FFBB4C3) {y=2.0-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3FF3B4C4) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*(a4+z*(a6+z*(a8+z*a10))));
+ p2 = z*(a1+z*(a3+z*(a5+z*(a7+z*(a9+z*a11)))));
+ p = y*p1+p2;
+ r += p-y/2; break;
+ case 1:
+ z = y*y;
+ w = z*y;
+ p1 = t0+w*(t3+w*(t6+w*(t9 +w*t12))); /* parallel comp */
+ p2 = t1+w*(t4+w*(t7+w*(t10+w*t13)));
+ p3 = t2+w*(t5+w*(t8+w*(t11+w*t14)));
+ p = z*p1-(tt-w*(p2+y*p3));
+ r += tf + p; break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*(u2+y*(u3+y*(u4+y*u5)))));
+ p2 = one+y*(v1+y*(v2+y*(v3+y*(v4+y*v5))));
+ r += p1/p2-y/2;
+ }
+ }
+ /* x < 8.0 */
+ else if(ix<0x40200000) {
+ i = x;
+ y = x-i;
+ p = y*(s0+y*(s1+y*(s2+y*(s3+y*(s4+y*(s5+y*s6))))));
+ q = one+y*(r1+y*(r2+y*(r3+y*(r4+y*(r5+y*r6)))));
+ r = y/2+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6); /* FALLTHRU */
+ case 6: z *= (y+5); /* FALLTHRU */
+ case 5: z *= (y+4); /* FALLTHRU */
+ case 4: z *= (y+3); /* FALLTHRU */
+ case 3: z *= (y+2); /* FALLTHRU */
+ r += __ieee754_log(z); break;
+ }
+ /* 8.0 <= x < 2**56 */
+ } else if (ix < 0x43700000) {
+ t = __ieee754_log(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*(w2+y*(w3+y*(w4+y*(w5+y*w6)))));
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**56 <= x <= inf */
+ r = x*(__ieee754_log(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(lgamma_r, lgammal_r);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgammaf.c b/libm/upstream-freebsd/lib/msun/src/e_lgammaf.c
new file mode 100644
index 0000000..1e2c552
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgammaf.c
@@ -0,0 +1,34 @@
+/* e_lgammaf.c -- float version of e_lgamma.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_lgammaf(x)
+ * Return the logarithm of the Gamma function of x.
+ *
+ * Method: call __ieee754_lgammaf_r
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+float
+__ieee754_lgammaf(float x)
+{
+ return __ieee754_lgammaf_r(x,&signgam);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c b/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c
new file mode 100644
index 0000000..9084e18
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgammaf_r.c
@@ -0,0 +1,215 @@
+/* e_lgammaf_r.c -- float version of e_lgamma_r.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Conversion to float fixed By Steven G. Kargl.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float vzero = 0;
+
+static const float
+zero= 0,
+half= 0.5,
+one = 1,
+pi = 3.1415927410e+00, /* 0x40490fdb */
+/*
+ * Domain y in [0x1p-27, 0.27], range ~[-3.4599e-10, 3.4590e-10]:
+ * |(lgamma(2 - y) + 0.5 * y) / y - a(y)| < 2**-31.4
+ */
+a0 = 7.72156641e-02, /* 0x3d9e233f */
+a1 = 3.22467119e-01, /* 0x3ea51a69 */
+a2 = 6.73484802e-02, /* 0x3d89ee00 */
+a3 = 2.06395667e-02, /* 0x3ca9144f */
+a4 = 6.98275631e-03, /* 0x3be4cf9b */
+a5 = 4.11768444e-03, /* 0x3b86eda4 */
+/*
+ * Domain x in [tc-0.24, tc+0.28], range ~[-5.6577e-10, 5.5677e-10]:
+ * |(lgamma(x) - tf) - t(x - tc)| < 2**-30.8.
+ */
+tc = 1.46163213e+00, /* 0x3fbb16c3 */
+tf = -1.21486291e-01, /* 0xbdf8cdce */
+t0 = -2.94064460e-11, /* 0xae0154b7 */
+t1 = -2.35939837e-08, /* 0xb2caabb8 */
+t2 = 4.83836412e-01, /* 0x3ef7b968 */
+t3 = -1.47586212e-01, /* 0xbe1720d7 */
+t4 = 6.46013096e-02, /* 0x3d844db1 */
+t5 = -3.28450352e-02, /* 0xbd068884 */
+t6 = 1.86483748e-02, /* 0x3c98c47a */
+t7 = -9.89206228e-03, /* 0xbc221251 */
+/*
+ * Domain y in [-0.1, 0.232], range ~[-8.4931e-10, 8.7794e-10]:
+ * |(lgamma(1 + y) + 0.5 * y) / y - u(y) / v(y)| < 2**-31.2
+ */
+u0 = -7.72156641e-02, /* 0xbd9e233f */
+u1 = 7.36789703e-01, /* 0x3f3c9e40 */
+u2 = 4.95649040e-01, /* 0x3efdc5b6 */
+v1 = 1.10958421e+00, /* 0x3f8e06db */
+v2 = 2.10598111e-01, /* 0x3e57a708 */
+v3 = -1.02995494e-02, /* 0xbc28bf71 */
+/*
+ * Domain x in (2, 3], range ~[-5.5189e-11, 5.2317e-11]:
+ * |(lgamma(y+2) - 0.5 * y) / y - s(y)/r(y)| < 2**-35.0
+ * with y = x - 2.
+ */
+s0 = -7.72156641e-02, /* 0xbd9e233f */
+s1 = 2.69987404e-01, /* 0x3e8a3bca */
+s2 = 1.42851010e-01, /* 0x3e124789 */
+s3 = 1.19389519e-02, /* 0x3c439b98 */
+r1 = 6.79650068e-01, /* 0x3f2dfd8c */
+r2 = 1.16058730e-01, /* 0x3dedb033 */
+r3 = 3.75673687e-03, /* 0x3b763396 */
+/*
+ * Domain z in [8, 0x1p24], range ~[-1.2640e-09, 1.2640e-09]:
+ * |lgamma(x) - (x - 0.5) * (log(x) - 1) - w(1/x)| < 2**-29.6.
+ */
+w0 = 4.18938547e-01, /* 0x3ed67f1d */
+w1 = 8.33332464e-02, /* 0x3daaaa9f */
+w2 = -2.76129087e-03; /* 0xbb34f6c6 */
+
+static float
+sin_pif(float x)
+{
+ volatile float vz;
+ float y,z;
+ int n;
+
+ y = -x;
+
+ vz = y+0x1p23F; /* depend on 0 <= y < 0x1p23 */
+ z = vz-0x1p23F; /* rintf(y) for the above range */
+ if (z == y)
+ return zero;
+
+ vz = y+0x1p21F;
+ GET_FLOAT_WORD(n,vz); /* bits for rounded y (units 0.25) */
+ z = vz-0x1p21F; /* y rounded to a multiple of 0.25 */
+ if (z > y) {
+ z -= 0.25F; /* adjust to round down */
+ n--;
+ }
+ n &= 7; /* octant of y mod 2 */
+ y = y - z + n * 0.25F; /* y mod 2 */
+
+ switch (n) {
+ case 0: y = __kernel_sindf(pi*y); break;
+ case 1:
+ case 2: y = __kernel_cosdf(pi*((float)0.5-y)); break;
+ case 3:
+ case 4: y = __kernel_sindf(pi*(one-y)); break;
+ case 5:
+ case 6: y = -__kernel_cosdf(pi*(y-(float)1.5)); break;
+ default: y = __kernel_sindf(pi*(y-(float)2.0)); break;
+ }
+ return -y;
+}
+
+
+float
+__ieee754_lgammaf_r(float x, int *signgamp)
+{
+ float nadj,p,p1,p2,p3,q,r,t,w,y,z;
+ int32_t hx;
+ int i,ix;
+
+ GET_FLOAT_WORD(hx,x);
+
+ /* purge +-Inf and NaNs */
+ *signgamp = 1;
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x*x;
+
+ /* purge +-0 and tiny arguments */
+ *signgamp = 1-2*((uint32_t)hx>>31);
+ if(ix<0x32000000) { /* |x|<2**-27, return -log(|x|) */
+ if(ix==0)
+ return one/vzero;
+ return -__ieee754_logf(fabsf(x));
+ }
+
+ /* purge negative integers and start evaluation for other x < 0 */
+ if(hx<0) {
+ *signgamp = 1;
+ if(ix>=0x4b000000) /* |x|>=2**23, must be -integer */
+ return one/vzero;
+ t = sin_pif(x);
+ if(t==zero) return one/vzero; /* -integer */
+ nadj = __ieee754_logf(pi/fabsf(t*x));
+ if(t<zero) *signgamp = -1;
+ x = -x;
+ }
+
+ /* purge 1 and 2 */
+ if (ix==0x3f800000||ix==0x40000000) r = 0;
+ /* for x < 2.0 */
+ else if(ix<0x40000000) {
+ if(ix<=0x3f666666) { /* lgamma(x) = lgamma(x+1)-log(x) */
+ r = -__ieee754_logf(x);
+ if(ix>=0x3f3b4a20) {y = one-x; i= 0;}
+ else if(ix>=0x3e6d3308) {y= x-(tc-one); i=1;}
+ else {y = x; i=2;}
+ } else {
+ r = zero;
+ if(ix>=0x3fdda618) {y=2-x;i=0;} /* [1.7316,2] */
+ else if(ix>=0x3F9da620) {y=x-tc;i=1;} /* [1.23,1.73] */
+ else {y=x-one;i=2;}
+ }
+ switch(i) {
+ case 0:
+ z = y*y;
+ p1 = a0+z*(a2+z*a4);
+ p2 = z*(a1+z*(a3+z*a5));
+ p = y*p1+p2;
+ r += p-y/2; break;
+ case 1:
+ p = t0+y*t1+y*y*(t2+y*(t3+y*(t4+y*(t5+y*(t6+y*t7)))));
+ r += tf + p; break;
+ case 2:
+ p1 = y*(u0+y*(u1+y*u2));
+ p2 = one+y*(v1+y*(v2+y*v3));
+ r += p1/p2-y/2;
+ }
+ }
+ /* x < 8.0 */
+ else if(ix<0x41000000) {
+ i = x;
+ y = x-i;
+ p = y*(s0+y*(s1+y*(s2+y*s3)));
+ q = one+y*(r1+y*(r2+y*r3));
+ r = y/2+p/q;
+ z = one; /* lgamma(1+s) = log(s) + lgamma(s) */
+ switch(i) {
+ case 7: z *= (y+6); /* FALLTHRU */
+ case 6: z *= (y+5); /* FALLTHRU */
+ case 5: z *= (y+4); /* FALLTHRU */
+ case 4: z *= (y+3); /* FALLTHRU */
+ case 3: z *= (y+2); /* FALLTHRU */
+ r += __ieee754_logf(z); break;
+ }
+ /* 8.0 <= x < 2**27 */
+ } else if (ix < 0x4d000000) {
+ t = __ieee754_logf(x);
+ z = one/x;
+ y = z*z;
+ w = w0+z*(w1+y*w2);
+ r = (x-half)*(t-one)+w;
+ } else
+ /* 2**27 <= x <= inf */
+ r = x*(__ieee754_logf(x)-one);
+ if(hx<0) r = nadj - r;
+ return r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_lgammal.c b/libm/upstream-freebsd/lib/msun/src/e_lgammal.c
new file mode 100644
index 0000000..ebc2fc7
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_lgammal.c
@@ -0,0 +1,25 @@
+/* @(#)e_lgamma.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+extern int signgam;
+
+long double
+lgammal(long double x)
+{
+ return lgammal_r(x,&signgam);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log.c b/libm/upstream-freebsd/lib/msun/src/e_log.c
new file mode 100644
index 0000000..68bc107
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_log.c
@@ -0,0 +1,147 @@
+
+/* @(#)e_log.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_log(x)
+ * Return the logrithm of x
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * 2. Approximation of log(1+f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
+ * (the values of Lg1 to Lg7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lg1*s +...+Lg7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log(1+f) = f - s*(f - R) (if f is not too large)
+ * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy)
+ *
+ * 3. Finally, log(x) = k*ln2 + log(1+f).
+ * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ * Here ln2 is split into two floating point number:
+ * ln2_hi + ln2_lo,
+ * where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ * log(x) is NaN with signal if x < 0 (including -INF) ;
+ * log(+INF) is +INF; log(0) is -INF with signal;
+ * log(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+static const double zero = 0.0;
+static volatile double vzero = 0.0;
+
+double
+__ieee754_log(double x)
+{
+ double hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,hx,i,j;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/vzero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ f = x-1.0;
+ if((0x000fffff&(2+hx))<3) { /* -2**-20 <= f < 2**-20 */
+ if(f==zero) {
+ if(k==0) {
+ return zero;
+ } else {
+ dk=(double)k;
+ return dk*ln2_hi+dk*ln2_lo;
+ }
+ }
+ R = f*f*(0.5-0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(double)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/(2.0+f);
+ dk = (double)k;
+ z = s*s;
+ i = hx-0x6147a;
+ w = z*z;
+ j = 0x6b851-hx;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=0.5*f*f;
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if(k==0) return f-s*(f-R); else
+ return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(log, logl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log10.c b/libm/upstream-freebsd/lib/msun/src/e_log10.c
new file mode 100644
index 0000000..3c89ed2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_log10.c
@@ -0,0 +1,94 @@
+
+/* @(#)e_log10.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Return the base 10 logarithm of x. See e_log.c and k_log.h for most
+ * comments.
+ *
+ * log10(x) = (f - 0.5*f*f + k_log1p(f)) / ln10 + k * log10(2)
+ * in not-quite-routine extra precision.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+#include "k_log.h"
+
+static const double
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ivln10hi = 4.34294481878168880939e-01, /* 0x3fdbcb7b, 0x15200000 */
+ivln10lo = 2.50829467116452752298e-11, /* 0x3dbb9438, 0xca9aadd5 */
+log10_2hi = 3.01029995663611771306e-01, /* 0x3FD34413, 0x509F6000 */
+log10_2lo = 3.69423907715893078616e-13; /* 0x3D59FEF3, 0x11F12B36 */
+
+static const double zero = 0.0;
+static volatile double vzero = 0.0;
+
+double
+__ieee754_log10(double x)
+{
+ double f,hfsq,hi,lo,r,val_hi,val_lo,w,y,y2;
+ int32_t i,k,hx;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/vzero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ if (hx == 0x3ff00000 && lx == 0)
+ return zero; /* log(1) = +0 */
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ y = (double)k;
+ f = x - 1.0;
+ hfsq = 0.5*f*f;
+ r = k_log1p(f);
+
+ /* See e_log2.c for most details. */
+ hi = f - hfsq;
+ SET_LOW_WORD(hi,0);
+ lo = (f - hi) - hfsq + r;
+ val_hi = hi*ivln10hi;
+ y2 = y*log10_2hi;
+ val_lo = y*log10_2lo + (lo+hi)*ivln10lo + lo*ivln10hi;
+
+ /*
+ * Extra precision in for adding y*log10_2hi is not strictly needed
+ * since there is no very large cancellation near x = sqrt(2) or
+ * x = 1/sqrt(2), but we do it anyway since it costs little on CPUs
+ * with some parallelism and it reduces the error for many args.
+ */
+ w = y2 + val_hi;
+ val_lo += (y2 - w) + val_hi;
+ val_hi = w;
+
+ return val_lo + val_hi;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(log10, log10l);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log10f.c b/libm/upstream-freebsd/lib/msun/src/e_log10f.c
new file mode 100644
index 0000000..9856df2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_log10f.c
@@ -0,0 +1,72 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Float version of e_log10.c. See the latter for most comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#include "k_logf.h"
+
+static const float
+two25 = 3.3554432000e+07, /* 0x4c000000 */
+ivln10hi = 4.3432617188e-01, /* 0x3ede6000 */
+ivln10lo = -3.1689971365e-05, /* 0xb804ead9 */
+log10_2hi = 3.0102920532e-01, /* 0x3e9a2080 */
+log10_2lo = 7.9034151668e-07; /* 0x355427db */
+
+static const float zero = 0.0;
+static volatile float vzero = 0.0;
+
+float
+__ieee754_log10f(float x)
+{
+ float f,hfsq,hi,lo,r,y;
+ int32_t i,k,hx;
+
+ GET_FLOAT_WORD(hx,x);
+
+ k=0;
+ if (hx < 0x00800000) { /* x < 2**-126 */
+ if ((hx&0x7fffffff)==0)
+ return -two25/vzero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(hx,x);
+ }
+ if (hx >= 0x7f800000) return x+x;
+ if (hx == 0x3f800000)
+ return zero; /* log(1) = +0 */
+ k += (hx>>23)-127;
+ hx &= 0x007fffff;
+ i = (hx+(0x4afb0d))&0x800000;
+ SET_FLOAT_WORD(x,hx|(i^0x3f800000)); /* normalize x or x/2 */
+ k += (i>>23);
+ y = (float)k;
+ f = x - (float)1.0;
+ hfsq = (float)0.5*f*f;
+ r = k_log1pf(f);
+
+ /* See e_log2f.c and e_log2.c for details. */
+ if (sizeof(float_t) > sizeof(float))
+ return (r - hfsq + f) * ((float_t)ivln10lo + ivln10hi) +
+ y * ((float_t)log10_2lo + log10_2hi);
+ hi = f - hfsq;
+ GET_FLOAT_WORD(hx,hi);
+ SET_FLOAT_WORD(hi,hx&0xfffff000);
+ lo = (f - hi) - hfsq + r;
+ return y*log10_2lo + (lo+hi)*ivln10lo + lo*ivln10hi + hi*ivln10hi +
+ y*log10_2hi;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log2.c b/libm/upstream-freebsd/lib/msun/src/e_log2.c
new file mode 100644
index 0000000..4766cdb
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_log2.c
@@ -0,0 +1,117 @@
+
+/* @(#)e_log10.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Return the base 2 logarithm of x. See e_log.c and k_log.h for most
+ * comments.
+ *
+ * This reduces x to {k, 1+f} exactly as in e_log.c, then calls the kernel,
+ * then does the combining and scaling steps
+ * log2(x) = (f - 0.5*f*f + k_log1p(f)) / ln2 + k
+ * in not-quite-routine extra precision.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+#include "k_log.h"
+
+static const double
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+ivln2hi = 1.44269504072144627571e+00, /* 0x3ff71547, 0x65200000 */
+ivln2lo = 1.67517131648865118353e-10; /* 0x3de705fc, 0x2eefa200 */
+
+static const double zero = 0.0;
+static volatile double vzero = 0.0;
+
+double
+__ieee754_log2(double x)
+{
+ double f,hfsq,hi,lo,r,val_hi,val_lo,w,y;
+ int32_t i,k,hx;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+
+ k=0;
+ if (hx < 0x00100000) { /* x < 2**-1022 */
+ if (((hx&0x7fffffff)|lx)==0)
+ return -two54/vzero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 54; x *= two54; /* subnormal number, scale up x */
+ GET_HIGH_WORD(hx,x);
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ if (hx == 0x3ff00000 && lx == 0)
+ return zero; /* log(1) = +0 */
+ k += (hx>>20)-1023;
+ hx &= 0x000fffff;
+ i = (hx+0x95f64)&0x100000;
+ SET_HIGH_WORD(x,hx|(i^0x3ff00000)); /* normalize x or x/2 */
+ k += (i>>20);
+ y = (double)k;
+ f = x - 1.0;
+ hfsq = 0.5*f*f;
+ r = k_log1p(f);
+
+ /*
+ * f-hfsq must (for args near 1) be evaluated in extra precision
+ * to avoid a large cancellation when x is near sqrt(2) or 1/sqrt(2).
+ * This is fairly efficient since f-hfsq only depends on f, so can
+ * be evaluated in parallel with R. Not combining hfsq with R also
+ * keeps R small (though not as small as a true `lo' term would be),
+ * so that extra precision is not needed for terms involving R.
+ *
+ * Compiler bugs involving extra precision used to break Dekker's
+ * theorem for spitting f-hfsq as hi+lo, unless double_t was used
+ * or the multi-precision calculations were avoided when double_t
+ * has extra precision. These problems are now automatically
+ * avoided as a side effect of the optimization of combining the
+ * Dekker splitting step with the clear-low-bits step.
+ *
+ * y must (for args near sqrt(2) and 1/sqrt(2)) be added in extra
+ * precision to avoid a very large cancellation when x is very near
+ * these values. Unlike the above cancellations, this problem is
+ * specific to base 2. It is strange that adding +-1 is so much
+ * harder than adding +-ln2 or +-log10_2.
+ *
+ * This uses Dekker's theorem to normalize y+val_hi, so the
+ * compiler bugs are back in some configurations, sigh. And I
+ * don't want to used double_t to avoid them, since that gives a
+ * pessimization and the support for avoiding the pessimization
+ * is not yet available.
+ *
+ * The multi-precision calculations for the multiplications are
+ * routine.
+ */
+ hi = f - hfsq;
+ SET_LOW_WORD(hi,0);
+ lo = (f - hi) - hfsq + r;
+ val_hi = hi*ivln2hi;
+ val_lo = (lo+hi)*ivln2lo + lo*ivln2hi;
+
+ /* spadd(val_hi, val_lo, y), except for not using double_t: */
+ w = y + val_hi;
+ val_lo += (y - w) + val_hi;
+ val_hi = w;
+
+ return val_lo + val_hi;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(log2, log2l);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_log2f.c b/libm/upstream-freebsd/lib/msun/src/e_log2f.c
new file mode 100644
index 0000000..1794484
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_log2f.c
@@ -0,0 +1,82 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Float version of e_log2.c. See the latter for most comments.
+ */
+
+#include "math.h"
+#include "math_private.h"
+#include "k_logf.h"
+
+static const float
+two25 = 3.3554432000e+07, /* 0x4c000000 */
+ivln2hi = 1.4428710938e+00, /* 0x3fb8b000 */
+ivln2lo = -1.7605285393e-04; /* 0xb9389ad4 */
+
+static const float zero = 0.0;
+static volatile float vzero = 0.0;
+
+float
+__ieee754_log2f(float x)
+{
+ float f,hfsq,hi,lo,r,y;
+ int32_t i,k,hx;
+
+ GET_FLOAT_WORD(hx,x);
+
+ k=0;
+ if (hx < 0x00800000) { /* x < 2**-126 */
+ if ((hx&0x7fffffff)==0)
+ return -two25/vzero; /* log(+-0)=-inf */
+ if (hx<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(hx,x);
+ }
+ if (hx >= 0x7f800000) return x+x;
+ if (hx == 0x3f800000)
+ return zero; /* log(1) = +0 */
+ k += (hx>>23)-127;
+ hx &= 0x007fffff;
+ i = (hx+(0x4afb0d))&0x800000;
+ SET_FLOAT_WORD(x,hx|(i^0x3f800000)); /* normalize x or x/2 */
+ k += (i>>23);
+ y = (float)k;
+ f = x - (float)1.0;
+ hfsq = (float)0.5*f*f;
+ r = k_log1pf(f);
+
+ /*
+ * We no longer need to avoid falling into the multi-precision
+ * calculations due to compiler bugs breaking Dekker's theorem.
+ * Keep avoiding this as an optimization. See e_log2.c for more
+ * details (some details are here only because the optimization
+ * is not yet available in double precision).
+ *
+ * Another compiler bug turned up. With gcc on i386,
+ * (ivln2lo + ivln2hi) would be evaluated in float precision
+ * despite runtime evaluations using double precision. So we
+ * must cast one of its terms to float_t. This makes the whole
+ * expression have type float_t, so return is forced to waste
+ * time clobbering its extra precision.
+ */
+ if (sizeof(float_t) > sizeof(float))
+ return (r - hfsq + f) * ((float_t)ivln2lo + ivln2hi) + y;
+
+ hi = f - hfsq;
+ GET_FLOAT_WORD(hx,hi);
+ SET_FLOAT_WORD(hi,hx&0xfffff000);
+ lo = (f - hi) - hfsq + r;
+ return (lo+hi)*ivln2lo + lo*ivln2hi + hi*ivln2hi + y;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_logf.c b/libm/upstream-freebsd/lib/msun/src/e_logf.c
new file mode 100644
index 0000000..ec3985f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_logf.c
@@ -0,0 +1,89 @@
+/* e_logf.c -- float version of e_log.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
+Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
+Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
+Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
+
+static const float zero = 0.0;
+static volatile float vzero = 0.0;
+
+float
+__ieee754_logf(float x)
+{
+ float hfsq,f,s,z,R,w,t1,t2,dk;
+ int32_t k,ix,i,j;
+
+ GET_FLOAT_WORD(ix,x);
+
+ k=0;
+ if (ix < 0x00800000) { /* x < 2**-126 */
+ if ((ix&0x7fffffff)==0)
+ return -two25/vzero; /* log(+-0)=-inf */
+ if (ix<0) return (x-x)/zero; /* log(-#) = NaN */
+ k -= 25; x *= two25; /* subnormal number, scale up x */
+ GET_FLOAT_WORD(ix,x);
+ }
+ if (ix >= 0x7f800000) return x+x;
+ k += (ix>>23)-127;
+ ix &= 0x007fffff;
+ i = (ix+(0x95f64<<3))&0x800000;
+ SET_FLOAT_WORD(x,ix|(i^0x3f800000)); /* normalize x or x/2 */
+ k += (i>>23);
+ f = x-(float)1.0;
+ if((0x007fffff&(0x8000+ix))<0xc000) { /* -2**-9 <= f < 2**-9 */
+ if(f==zero) {
+ if(k==0) {
+ return zero;
+ } else {
+ dk=(float)k;
+ return dk*ln2_hi+dk*ln2_lo;
+ }
+ }
+ R = f*f*((float)0.5-(float)0.33333333333333333*f);
+ if(k==0) return f-R; else {dk=(float)k;
+ return dk*ln2_hi-((R-dk*ln2_lo)-f);}
+ }
+ s = f/((float)2.0+f);
+ dk = (float)k;
+ z = s*s;
+ i = ix-(0x6147a<<3);
+ w = z*z;
+ j = (0x6b851<<3)-ix;
+ t1= w*(Lg2+w*Lg4);
+ t2= z*(Lg1+w*Lg3);
+ i |= j;
+ R = t2+t1;
+ if(i>0) {
+ hfsq=(float)0.5*f*f;
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return dk*ln2_hi-((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f);
+ } else {
+ if(k==0) return f-s*(f-R); else
+ return dk*ln2_hi-((s*(f-R)-dk*ln2_lo)-f);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_pow.c b/libm/upstream-freebsd/lib/msun/src/e_pow.c
new file mode 100644
index 0000000..d54af9d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_pow.c
@@ -0,0 +1,306 @@
+/* @(#)e_pow.c 1.5 04/04/22 SMI */
+/*
+ * ====================================================
+ * Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_pow(x,y) return x**y
+ *
+ * n
+ * Method: Let x = 2 * (1+f)
+ * 1. Compute and return log2(x) in two pieces:
+ * log2(x) = w1 + w2,
+ * where w1 has 53-24 = 29 bit trailing zeros.
+ * 2. Perform y*log2(x) = n+y' by simulating multi-precision
+ * arithmetic, where |y'|<=0.5.
+ * 3. Return x**y = 2**n*exp(y'*log2)
+ *
+ * Special cases:
+ * 1. (anything) ** 0 is 1
+ * 2. (anything) ** 1 is itself
+ * 3. (anything) ** NAN is NAN except 1 ** NAN = 1
+ * 4. NAN ** (anything except 0) is NAN
+ * 5. +-(|x| > 1) ** +INF is +INF
+ * 6. +-(|x| > 1) ** -INF is +0
+ * 7. +-(|x| < 1) ** +INF is +0
+ * 8. +-(|x| < 1) ** -INF is +INF
+ * 9. +-1 ** +-INF is 1
+ * 10. +0 ** (+anything except 0, NAN) is +0
+ * 11. -0 ** (+anything except 0, NAN, odd integer) is +0
+ * 12. +0 ** (-anything except 0, NAN) is +INF
+ * 13. -0 ** (-anything except 0, NAN, odd integer) is +INF
+ * 14. -0 ** (odd integer) = -( +0 ** (odd integer) )
+ * 15. +INF ** (+anything except 0,NAN) is +INF
+ * 16. +INF ** (-anything except 0,NAN) is +0
+ * 17. -INF ** (anything) = -0 ** (-anything)
+ * 18. (-anything) ** (integer) is (-1)**(integer)*(+anything**integer)
+ * 19. (-anything except 0 and inf) ** (non-integer) is NAN
+ *
+ * Accuracy:
+ * pow(x,y) returns x**y nearly rounded. In particular
+ * pow(integer,integer)
+ * always returns the correct integer provided it is
+ * representable.
+ *
+ * Constants :
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */
+dp_l[] = { 0.0, 1.35003920212974897128e-08,}, /* 0x3E4CFDEB, 0x43CFD006 */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two53 = 9007199254740992.0, /* 0x43400000, 0x00000000 */
+huge = 1.0e300,
+tiny = 1.0e-300,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 5.99999999999994648725e-01, /* 0x3FE33333, 0x33333303 */
+L2 = 4.28571428578550184252e-01, /* 0x3FDB6DB6, 0xDB6FABFF */
+L3 = 3.33333329818377432918e-01, /* 0x3FD55555, 0x518F264D */
+L4 = 2.72728123808534006489e-01, /* 0x3FD17460, 0xA91D4101 */
+L5 = 2.30660745775561754067e-01, /* 0x3FCD864A, 0x93C9DB65 */
+L6 = 2.06975017800338417784e-01, /* 0x3FCA7E28, 0x4A454EEF */
+P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
+P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
+P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
+P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
+P5 = 4.13813679705723846039e-08, /* 0x3E663769, 0x72BEA4D0 */
+lg2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+lg2_h = 6.93147182464599609375e-01, /* 0x3FE62E43, 0x00000000 */
+lg2_l = -1.90465429995776804525e-09, /* 0xBE205C61, 0x0CA86C39 */
+ovt = 8.0085662595372944372e-0017, /* -(1024-log2(ovfl+.5ulp)) */
+cp = 9.61796693925975554329e-01, /* 0x3FEEC709, 0xDC3A03FD =2/(3ln2) */
+cp_h = 9.61796700954437255859e-01, /* 0x3FEEC709, 0xE0000000 =(float)cp */
+cp_l = -7.02846165095275826516e-09, /* 0xBE3E2FE0, 0x145B01F5 =tail of cp_h*/
+ivln2 = 1.44269504088896338700e+00, /* 0x3FF71547, 0x652B82FE =1/ln2 */
+ivln2_h = 1.44269502162933349609e+00, /* 0x3FF71547, 0x60000000 =24b 1/ln2*/
+ivln2_l = 1.92596299112661746887e-08; /* 0x3E54AE0B, 0xF85DDF44 =1/ln2 tail*/
+
+double
+__ieee754_pow(double x, double y)
+{
+ double z,ax,z_h,z_l,p_h,p_l;
+ double y1,t1,t2,r,s,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if((iy|ly)==0) return one;
+
+ /* x==1: 1**y = 1, even if y is NaN */
+ if (hx==0x3ff00000 && lx == 0) return one;
+
+ /* y!=zero: result is NaN if either arg is NaN */
+ if(ix > 0x7ff00000 || ((ix==0x7ff00000)&&(lx!=0)) ||
+ iy > 0x7ff00000 || ((iy==0x7ff00000)&&(ly!=0)))
+ return (x+0.0)+(y+0.0);
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x43400000) yisint = 2; /* even integer y */
+ else if(iy>=0x3ff00000) {
+ k = (iy>>20)-0x3ff; /* exponent */
+ if(k>20) {
+ j = ly>>(52-k);
+ if((j<<(52-k))==ly) yisint = 2-(j&1);
+ } else if(ly==0) {
+ j = iy>>(20-k);
+ if((j<<(20-k))==iy) yisint = 2-(j&1);
+ }
+ }
+ }
+
+ /* special value of y */
+ if(ly==0) {
+ if (iy==0x7ff00000) { /* y is +-inf */
+ if(((ix-0x3ff00000)|lx)==0)
+ return one; /* (-1)**+-inf is 1 */
+ else if (ix >= 0x3ff00000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3ff00000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3fe00000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return sqrt(x);
+ }
+ }
+
+ ax = fabs(x);
+ /* special value of x */
+ if(lx==0) {
+ if(ix==0x7ff00000||ix==0||ix==0x3ff00000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3ff00000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+ }
+
+ /* CYGNUS LOCAL + fdlibm-5.3 fix: This used to be
+ n = (hx>>31)+1;
+ but ANSI C says a right shift of a signed negative quantity is
+ implementation defined. */
+ n = ((u_int32_t)hx>>31)-1;
+
+ /* (x<0)**(non-int) is NaN */
+ if((n|yisint)==0) return (x-x)/(x-x);
+
+ s = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if((n|(yisint-1))==0) s = -one;/* (-ve)**(odd int) */
+
+ /* |y| is huge */
+ if(iy>0x41e00000) { /* if |y| > 2**31 */
+ if(iy>0x43f00000){ /* if |y| > 2**64, must o/uflow */
+ if(ix<=0x3fefffff) return (hy<0)? huge*huge:tiny*tiny;
+ if(ix>=0x3ff00000) return (hy>0)? huge*huge:tiny*tiny;
+ }
+ /* over/underflow if x is not close to one */
+ if(ix<0x3fefffff) return (hy<0)? s*huge*huge:s*tiny*tiny;
+ if(ix>0x3ff00000) return (hy>0)? s*huge*huge:s*tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = ax-one; /* t has 20 trailing zeros */
+ w = (t*t)*(0.5-t*(0.3333333333333333333333-t*0.25));
+ u = ivln2_h*t; /* ivln2_h has 21 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ SET_LOW_WORD(t1,0);
+ t2 = v-(t1-u);
+ } else {
+ double ss,s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00100000)
+ {ax *= two53; n -= 53; GET_HIGH_WORD(ix,ax); }
+ n += ((ix)>>20)-0x3ff;
+ j = ix&0x000fffff;
+ /* determine interval */
+ ix = j|0x3ff00000; /* normalize ix */
+ if(j<=0x3988E) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0xBB67A) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00100000;}
+ SET_HIGH_WORD(ax,ix);
+
+ /* compute ss = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp[k]);
+ ss = u*v;
+ s_h = ss;
+ SET_LOW_WORD(s_h,0);
+ /* t_h=ax+bp[k] High */
+ t_h = zero;
+ SET_HIGH_WORD(t_h,((ix>>1)|0x20000000)+0x00080000+(k<<18));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = ss*ss;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+ss);
+ s2 = s_h*s_h;
+ t_h = 3.0+s2+r;
+ SET_LOW_WORD(t_h,0);
+ t_l = r-((t_h-3.0)-s2);
+ /* u+v = ss*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*ss;
+ /* 2/(3log2)*(ss+...) */
+ p_h = u+v;
+ SET_LOW_WORD(p_h,0);
+ p_l = v-(p_h-u);
+ z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = cp_l*p_h+p_l*cp+dp_l[k];
+ /* log2(ax) = (ss+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (double)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ SET_LOW_WORD(t1,0);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ y1 = y;
+ SET_LOW_WORD(y1,0);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ EXTRACT_WORDS(j,i,z);
+ if (j>=0x40900000) { /* z >= 1024 */
+ if(((j-0x40900000)|i)!=0) /* if z > 1024 */
+ return s*huge*huge; /* overflow */
+ else {
+ if(p_l+ovt>z-p_h) return s*huge*huge; /* overflow */
+ }
+ } else if((j&0x7fffffff)>=0x4090cc00 ) { /* z <= -1075 */
+ if(((j-0xc090cc00)|i)!=0) /* z < -1075 */
+ return s*tiny*tiny; /* underflow */
+ else {
+ if(p_l<=z-p_h) return s*tiny*tiny; /* underflow */
+ }
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>20)-0x3ff;
+ n = 0;
+ if(i>0x3fe00000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00100000>>(k+1));
+ k = ((n&0x7fffffff)>>20)-0x3ff; /* new k for n */
+ t = zero;
+ SET_HIGH_WORD(t,n&~(0x000fffff>>k));
+ n = ((n&0x000fffff)|0x00100000)>>(20-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ SET_LOW_WORD(t,0);
+ u = t*lg2_h;
+ v = (p_l-(t-p_h))*lg2+t*lg2_l;
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+ t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ r = (z*t1)/(t1-two)-(w+z*w);
+ z = one-(r-z);
+ GET_HIGH_WORD(j,z);
+ j += (n<<20);
+ if((j>>20)<=0) z = scalbn(z,n); /* subnormal output */
+ else SET_HIGH_WORD(z,j);
+ return s*z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_powf.c b/libm/upstream-freebsd/lib/msun/src/e_powf.c
new file mode 100644
index 0000000..5c46478
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_powf.c
@@ -0,0 +1,249 @@
+/* e_powf.c -- float version of e_pow.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+bp[] = {1.0, 1.5,},
+dp_h[] = { 0.0, 5.84960938e-01,}, /* 0x3f15c000 */
+dp_l[] = { 0.0, 1.56322085e-06,}, /* 0x35d1cfdc */
+zero = 0.0,
+one = 1.0,
+two = 2.0,
+two24 = 16777216.0, /* 0x4b800000 */
+huge = 1.0e30,
+tiny = 1.0e-30,
+ /* poly coefs for (3/2)*(log(x)-2s-2/3*s**3 */
+L1 = 6.0000002384e-01, /* 0x3f19999a */
+L2 = 4.2857143283e-01, /* 0x3edb6db7 */
+L3 = 3.3333334327e-01, /* 0x3eaaaaab */
+L4 = 2.7272811532e-01, /* 0x3e8ba305 */
+L5 = 2.3066075146e-01, /* 0x3e6c3255 */
+L6 = 2.0697501302e-01, /* 0x3e53f142 */
+P1 = 1.6666667163e-01, /* 0x3e2aaaab */
+P2 = -2.7777778450e-03, /* 0xbb360b61 */
+P3 = 6.6137559770e-05, /* 0x388ab355 */
+P4 = -1.6533901999e-06, /* 0xb5ddea0e */
+P5 = 4.1381369442e-08, /* 0x3331bb4c */
+lg2 = 6.9314718246e-01, /* 0x3f317218 */
+lg2_h = 6.93145752e-01, /* 0x3f317200 */
+lg2_l = 1.42860654e-06, /* 0x35bfbe8c */
+ovt = 4.2995665694e-08, /* -(128-log2(ovfl+.5ulp)) */
+cp = 9.6179670095e-01, /* 0x3f76384f =2/(3ln2) */
+cp_h = 9.6191406250e-01, /* 0x3f764000 =12b cp */
+cp_l = -1.1736857402e-04, /* 0xb8f623c6 =tail of cp_h */
+ivln2 = 1.4426950216e+00, /* 0x3fb8aa3b =1/ln2 */
+ivln2_h = 1.4426879883e+00, /* 0x3fb8aa00 =16b 1/ln2*/
+ivln2_l = 7.0526075433e-06; /* 0x36eca570 =1/ln2 tail*/
+
+float
+__ieee754_powf(float x, float y)
+{
+ float z,ax,z_h,z_l,p_h,p_l;
+ float y1,t1,t2,r,s,sn,t,u,v,w;
+ int32_t i,j,k,yisint,n;
+ int32_t hx,hy,ix,iy,is;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; iy = hy&0x7fffffff;
+
+ /* y==zero: x**0 = 1 */
+ if(iy==0) return one;
+
+ /* x==1: 1**y = 1, even if y is NaN */
+ if (hx==0x3f800000) return one;
+
+ /* y!=zero: result is NaN if either arg is NaN */
+ if(ix > 0x7f800000 ||
+ iy > 0x7f800000)
+ return (x+0.0F)+(y+0.0F);
+
+ /* determine if y is an odd int when x < 0
+ * yisint = 0 ... y is not an integer
+ * yisint = 1 ... y is an odd int
+ * yisint = 2 ... y is an even int
+ */
+ yisint = 0;
+ if(hx<0) {
+ if(iy>=0x4b800000) yisint = 2; /* even integer y */
+ else if(iy>=0x3f800000) {
+ k = (iy>>23)-0x7f; /* exponent */
+ j = iy>>(23-k);
+ if((j<<(23-k))==iy) yisint = 2-(j&1);
+ }
+ }
+
+ /* special value of y */
+ if (iy==0x7f800000) { /* y is +-inf */
+ if (ix==0x3f800000)
+ return one; /* (-1)**+-inf is NaN */
+ else if (ix > 0x3f800000)/* (|x|>1)**+-inf = inf,0 */
+ return (hy>=0)? y: zero;
+ else /* (|x|<1)**-,+inf = inf,0 */
+ return (hy<0)?-y: zero;
+ }
+ if(iy==0x3f800000) { /* y is +-1 */
+ if(hy<0) return one/x; else return x;
+ }
+ if(hy==0x40000000) return x*x; /* y is 2 */
+ if(hy==0x3f000000) { /* y is 0.5 */
+ if(hx>=0) /* x >= +0 */
+ return __ieee754_sqrtf(x);
+ }
+
+ ax = fabsf(x);
+ /* special value of x */
+ if(ix==0x7f800000||ix==0||ix==0x3f800000){
+ z = ax; /*x is +-0,+-inf,+-1*/
+ if(hy<0) z = one/z; /* z = (1/|x|) */
+ if(hx<0) {
+ if(((ix-0x3f800000)|yisint)==0) {
+ z = (z-z)/(z-z); /* (-1)**non-int is NaN */
+ } else if(yisint==1)
+ z = -z; /* (x<0)**odd = -(|x|**odd) */
+ }
+ return z;
+ }
+
+ n = ((u_int32_t)hx>>31)-1;
+
+ /* (x<0)**(non-int) is NaN */
+ if((n|yisint)==0) return (x-x)/(x-x);
+
+ sn = one; /* s (sign of result -ve**odd) = -1 else = 1 */
+ if((n|(yisint-1))==0) sn = -one;/* (-ve)**(odd int) */
+
+ /* |y| is huge */
+ if(iy>0x4d000000) { /* if |y| > 2**27 */
+ /* over/underflow if x is not close to one */
+ if(ix<0x3f7ffff8) return (hy<0)? sn*huge*huge:sn*tiny*tiny;
+ if(ix>0x3f800007) return (hy>0)? sn*huge*huge:sn*tiny*tiny;
+ /* now |1-x| is tiny <= 2**-20, suffice to compute
+ log(x) by x-x^2/2+x^3/3-x^4/4 */
+ t = ax-1; /* t has 20 trailing zeros */
+ w = (t*t)*((float)0.5-t*((float)0.333333333333-t*(float)0.25));
+ u = ivln2_h*t; /* ivln2_h has 16 sig. bits */
+ v = t*ivln2_l-w*ivln2;
+ t1 = u+v;
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = v-(t1-u);
+ } else {
+ float s2,s_h,s_l,t_h,t_l;
+ n = 0;
+ /* take care subnormal number */
+ if(ix<0x00800000)
+ {ax *= two24; n -= 24; GET_FLOAT_WORD(ix,ax); }
+ n += ((ix)>>23)-0x7f;
+ j = ix&0x007fffff;
+ /* determine interval */
+ ix = j|0x3f800000; /* normalize ix */
+ if(j<=0x1cc471) k=0; /* |x|<sqrt(3/2) */
+ else if(j<0x5db3d7) k=1; /* |x|<sqrt(3) */
+ else {k=0;n+=1;ix -= 0x00800000;}
+ SET_FLOAT_WORD(ax,ix);
+
+ /* compute s = s_h+s_l = (x-1)/(x+1) or (x-1.5)/(x+1.5) */
+ u = ax-bp[k]; /* bp[0]=1.0, bp[1]=1.5 */
+ v = one/(ax+bp[k]);
+ s = u*v;
+ s_h = s;
+ GET_FLOAT_WORD(is,s_h);
+ SET_FLOAT_WORD(s_h,is&0xfffff000);
+ /* t_h=ax+bp[k] High */
+ is = ((ix>>1)&0xfffff000)|0x20000000;
+ SET_FLOAT_WORD(t_h,is+0x00400000+(k<<21));
+ t_l = ax - (t_h-bp[k]);
+ s_l = v*((u-s_h*t_h)-s_h*t_l);
+ /* compute log(ax) */
+ s2 = s*s;
+ r = s2*s2*(L1+s2*(L2+s2*(L3+s2*(L4+s2*(L5+s2*L6)))));
+ r += s_l*(s_h+s);
+ s2 = s_h*s_h;
+ t_h = (float)3.0+s2+r;
+ GET_FLOAT_WORD(is,t_h);
+ SET_FLOAT_WORD(t_h,is&0xfffff000);
+ t_l = r-((t_h-(float)3.0)-s2);
+ /* u+v = s*(1+...) */
+ u = s_h*t_h;
+ v = s_l*t_h+t_l*s;
+ /* 2/(3log2)*(s+...) */
+ p_h = u+v;
+ GET_FLOAT_WORD(is,p_h);
+ SET_FLOAT_WORD(p_h,is&0xfffff000);
+ p_l = v-(p_h-u);
+ z_h = cp_h*p_h; /* cp_h+cp_l = 2/(3*log2) */
+ z_l = cp_l*p_h+p_l*cp+dp_l[k];
+ /* log2(ax) = (s+..)*2/(3*log2) = n + dp_h + z_h + z_l */
+ t = (float)n;
+ t1 = (((z_h+z_l)+dp_h[k])+t);
+ GET_FLOAT_WORD(is,t1);
+ SET_FLOAT_WORD(t1,is&0xfffff000);
+ t2 = z_l-(((t1-t)-dp_h[k])-z_h);
+ }
+
+ /* split up y into y1+y2 and compute (y1+y2)*(t1+t2) */
+ GET_FLOAT_WORD(is,y);
+ SET_FLOAT_WORD(y1,is&0xfffff000);
+ p_l = (y-y1)*t1+y*t2;
+ p_h = y1*t1;
+ z = p_l+p_h;
+ GET_FLOAT_WORD(j,z);
+ if (j>0x43000000) /* if z > 128 */
+ return sn*huge*huge; /* overflow */
+ else if (j==0x43000000) { /* if z == 128 */
+ if(p_l+ovt>z-p_h) return sn*huge*huge; /* overflow */
+ }
+ else if ((j&0x7fffffff)>0x43160000) /* z <= -150 */
+ return sn*tiny*tiny; /* underflow */
+ else if (j==0xc3160000){ /* z == -150 */
+ if(p_l<=z-p_h) return sn*tiny*tiny; /* underflow */
+ }
+ /*
+ * compute 2**(p_h+p_l)
+ */
+ i = j&0x7fffffff;
+ k = (i>>23)-0x7f;
+ n = 0;
+ if(i>0x3f000000) { /* if |z| > 0.5, set n = [z+0.5] */
+ n = j+(0x00800000>>(k+1));
+ k = ((n&0x7fffffff)>>23)-0x7f; /* new k for n */
+ SET_FLOAT_WORD(t,n&~(0x007fffff>>k));
+ n = ((n&0x007fffff)|0x00800000)>>(23-k);
+ if(j<0) n = -n;
+ p_h -= t;
+ }
+ t = p_l+p_h;
+ GET_FLOAT_WORD(is,t);
+ SET_FLOAT_WORD(t,is&0xffff8000);
+ u = t*lg2_h;
+ v = (p_l-(t-p_h))*lg2+t*lg2_l;
+ z = u+v;
+ w = v-(z-u);
+ t = z*z;
+ t1 = z - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
+ r = (z*t1)/(t1-two)-(w+z*w);
+ z = one-(r-z);
+ GET_FLOAT_WORD(j,z);
+ j += (n<<23);
+ if((j>>23)<=0) z = scalbnf(z,n); /* subnormal output */
+ else SET_FLOAT_WORD(z,j);
+ return sn*z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_rem_pio2.c b/libm/upstream-freebsd/lib/msun/src/e_rem_pio2.c
new file mode 100644
index 0000000..be2630b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_rem_pio2.c
@@ -0,0 +1,186 @@
+
+/* @(#)e_rem_pio2.c 1.4 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_rem_pio2(x,y)
+ *
+ * return the remainder of x rem pi/2 in y[0]+y[1]
+ * use __kernel_rem_pio2()
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 33 bit of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ * pio2_2: second 33 bit of pi/2
+ * pio2_2t: pi/2 - (pio2_1+pio2_2)
+ * pio2_3: third 33 bit of pi/2
+ * pio2_3t: pi/2 - (pio2_1+pio2_2+pio2_3)
+ */
+
+static const double
+zero = 0.00000000000000000000e+00, /* 0x00000000, 0x00000000 */
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1 = 1.57079632673412561417e+00, /* 0x3FF921FB, 0x54400000 */
+pio2_1t = 6.07710050650619224932e-11, /* 0x3DD0B461, 0x1A626331 */
+pio2_2 = 6.07710050630396597660e-11, /* 0x3DD0B461, 0x1A600000 */
+pio2_2t = 2.02226624879595063154e-21, /* 0x3BA3198A, 0x2E037073 */
+pio2_3 = 2.02226624871116645580e-21, /* 0x3BA3198A, 0x2E000000 */
+pio2_3t = 8.47842766036889956997e-32; /* 0x397B839A, 0x252049C1 */
+
+#ifdef INLINE_REM_PIO2
+static __inline __always_inline
+#endif
+int
+__ieee754_rem_pio2(double x, double *y)
+{
+ double z,w,t,r,fn;
+ double tx[3],ty[2];
+ int32_t e0,i,j,nx,n,ix,hx;
+ u_int32_t low;
+
+ GET_HIGH_WORD(hx,x); /* high word of x */
+ ix = hx&0x7fffffff;
+#if 0 /* Must be handled in caller. */
+ if(ix<=0x3fe921fb) /* |x| ~<= pi/4 , no need for reduction */
+ {y[0] = x; y[1] = 0; return 0;}
+#endif
+ if (ix <= 0x400f6a7a) { /* |x| ~<= 5pi/4 */
+ if ((ix & 0xfffff) == 0x921fb) /* |x| ~= pi/2 or 2pi/2 */
+ goto medium; /* cancellation -- use medium case */
+ if (ix <= 0x4002d97c) { /* |x| ~<= 3pi/4 */
+ if (hx > 0) {
+ z = x - pio2_1; /* one round good to 85 bits */
+ y[0] = z - pio2_1t;
+ y[1] = (z-y[0])-pio2_1t;
+ return 1;
+ } else {
+ z = x + pio2_1;
+ y[0] = z + pio2_1t;
+ y[1] = (z-y[0])+pio2_1t;
+ return -1;
+ }
+ } else {
+ if (hx > 0) {
+ z = x - 2*pio2_1;
+ y[0] = z - 2*pio2_1t;
+ y[1] = (z-y[0])-2*pio2_1t;
+ return 2;
+ } else {
+ z = x + 2*pio2_1;
+ y[0] = z + 2*pio2_1t;
+ y[1] = (z-y[0])+2*pio2_1t;
+ return -2;
+ }
+ }
+ }
+ if (ix <= 0x401c463b) { /* |x| ~<= 9pi/4 */
+ if (ix <= 0x4015fdbc) { /* |x| ~<= 7pi/4 */
+ if (ix == 0x4012d97c) /* |x| ~= 3pi/2 */
+ goto medium;
+ if (hx > 0) {
+ z = x - 3*pio2_1;
+ y[0] = z - 3*pio2_1t;
+ y[1] = (z-y[0])-3*pio2_1t;
+ return 3;
+ } else {
+ z = x + 3*pio2_1;
+ y[0] = z + 3*pio2_1t;
+ y[1] = (z-y[0])+3*pio2_1t;
+ return -3;
+ }
+ } else {
+ if (ix == 0x401921fb) /* |x| ~= 4pi/2 */
+ goto medium;
+ if (hx > 0) {
+ z = x - 4*pio2_1;
+ y[0] = z - 4*pio2_1t;
+ y[1] = (z-y[0])-4*pio2_1t;
+ return 4;
+ } else {
+ z = x + 4*pio2_1;
+ y[0] = z + 4*pio2_1t;
+ y[1] = (z-y[0])+4*pio2_1t;
+ return -4;
+ }
+ }
+ }
+ if(ix<0x413921fb) { /* |x| ~< 2^20*(pi/2), medium size */
+medium:
+ /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ STRICT_ASSIGN(double,fn,x*invpio2+0x1.8p52);
+ fn = fn-0x1.8p52;
+#ifdef HAVE_EFFICIENT_IRINT
+ n = irint(fn);
+#else
+ n = (int32_t)fn;
+#endif
+ r = x-fn*pio2_1;
+ w = fn*pio2_1t; /* 1st round good to 85 bit */
+ {
+ u_int32_t high;
+ j = ix>>20;
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>16) { /* 2nd iteration needed, good to 118 */
+ t = r;
+ w = fn*pio2_2;
+ r = t-w;
+ w = fn*pio2_2t-((t-r)-w);
+ y[0] = r-w;
+ GET_HIGH_WORD(high,y[0]);
+ i = j-((high>>20)&0x7ff);
+ if(i>49) { /* 3rd iteration need, 151 bits acc */
+ t = r; /* will cover all possible cases */
+ w = fn*pio2_3;
+ r = t-w;
+ w = fn*pio2_3t-((t-r)-w);
+ y[0] = r-w;
+ }
+ }
+ }
+ y[1] = (r-y[0])-w;
+ return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7ff00000) { /* x is inf or NaN */
+ y[0]=y[1]=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(x)-23) */
+ GET_LOW_WORD(low,x);
+ e0 = (ix>>20)-1046; /* e0 = ilogb(z)-23; */
+ INSERT_WORDS(z, ix - ((int32_t)(e0<<20)), low);
+ for(i=0;i<2;i++) {
+ tx[i] = (double)((int32_t)(z));
+ z = (z-tx[i])*two24;
+ }
+ tx[2] = z;
+ nx = 3;
+ while(tx[nx-1]==zero) nx--; /* skip zero term */
+ n = __kernel_rem_pio2(tx,ty,e0,nx,1);
+ if(hx<0) {y[0] = -ty[0]; y[1] = -ty[1]; return -n;}
+ y[0] = ty[0]; y[1] = ty[1]; return n;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_rem_pio2f.c b/libm/upstream-freebsd/lib/msun/src/e_rem_pio2f.c
new file mode 100644
index 0000000..f1ee7a0
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_rem_pio2f.c
@@ -0,0 +1,84 @@
+/* e_rem_pio2f.c -- float version of e_rem_pio2.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Debugged and optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_rem_pio2f(x,y)
+ *
+ * return the remainder of x rem pi/2 in *y
+ * use double precision for everything except passing x
+ * use __kernel_rem_pio2() for large x
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * invpio2: 53 bits of 2/pi
+ * pio2_1: first 25 bits of pi/2
+ * pio2_1t: pi/2 - pio2_1
+ */
+
+static const double
+invpio2 = 6.36619772367581382433e-01, /* 0x3FE45F30, 0x6DC9C883 */
+pio2_1 = 1.57079631090164184570e+00, /* 0x3FF921FB, 0x50000000 */
+pio2_1t = 1.58932547735281966916e-08; /* 0x3E5110b4, 0x611A6263 */
+
+#ifdef INLINE_REM_PIO2F
+static __inline __always_inline
+#endif
+int
+__ieee754_rem_pio2f(float x, double *y)
+{
+ double w,r,fn;
+ double tx[1],ty[1];
+ float z;
+ int32_t e0,n,ix,hx;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ /* 33+53 bit pi is good enough for medium size */
+ if(ix<0x4dc90fdb) { /* |x| ~< 2^28*(pi/2), medium size */
+ /* Use a specialized rint() to get fn. Assume round-to-nearest. */
+ STRICT_ASSIGN(double,fn,x*invpio2+0x1.8p52);
+ fn = fn-0x1.8p52;
+#ifdef HAVE_EFFICIENT_IRINT
+ n = irint(fn);
+#else
+ n = (int32_t)fn;
+#endif
+ r = x-fn*pio2_1;
+ w = fn*pio2_1t;
+ *y = r-w;
+ return n;
+ }
+ /*
+ * all other (large) arguments
+ */
+ if(ix>=0x7f800000) { /* x is inf or NaN */
+ *y=x-x; return 0;
+ }
+ /* set z = scalbn(|x|,ilogb(|x|)-23) */
+ e0 = (ix>>23)-150; /* e0 = ilogb(|x|)-23; */
+ SET_FLOAT_WORD(z, ix - ((int32_t)(e0<<23)));
+ tx[0] = z;
+ n = __kernel_rem_pio2(tx,ty,e0,1,0);
+ if(hx<0) {*y = -ty[0]; return -n;}
+ *y = ty[0]; return n;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_remainder.c b/libm/upstream-freebsd/lib/msun/src/e_remainder.c
new file mode 100644
index 0000000..9be513b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_remainder.c
@@ -0,0 +1,79 @@
+
+/* @(#)e_remainder.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_remainder(x,p)
+ * Return :
+ * returns x REM p = x - [x/p]*p as if in infinite
+ * precise arithmetic, where [x/p] is the (infinite bit)
+ * integer nearest x/p (in half way case choose the even one).
+ * Method :
+ * Based on fmod() return x-[x/p]chopped*p exactlp.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double zero = 0.0;
+
+
+double
+__ieee754_remainder(double x, double p)
+{
+ int32_t hx,hp;
+ u_int32_t sx,lx,lp;
+ double p_half;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hp,lp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if((hp|lp)==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7ff00000)|| /* x not finite */
+ ((hp>=0x7ff00000)&& /* p is NaN */
+ (((hp-0x7ff00000)|lp)!=0)))
+ return ((long double)x*p)/((long double)x*p);
+
+
+ if (hp<=0x7fdfffff) x = __ieee754_fmod(x,p+p); /* now x < 2p */
+ if (((hx-hp)|(lx-lp))==0) return zero*x;
+ x = fabs(x);
+ p = fabs(p);
+ if (hp<0x00200000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = 0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_HIGH_WORD(hx,x);
+ if ((hx&0x7fffffff)==0) hx = 0;
+ SET_HIGH_WORD(x,hx^sx);
+ return x;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(remainder, remainderl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_remainderf.c b/libm/upstream-freebsd/lib/msun/src/e_remainderf.c
new file mode 100644
index 0000000..b0014ae
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_remainderf.c
@@ -0,0 +1,65 @@
+/* e_remainderf.c -- float version of e_remainder.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float zero = 0.0;
+
+
+float
+__ieee754_remainderf(float x, float p)
+{
+ int32_t hx,hp;
+ u_int32_t sx;
+ float p_half;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hp,p);
+ sx = hx&0x80000000;
+ hp &= 0x7fffffff;
+ hx &= 0x7fffffff;
+
+ /* purge off exception values */
+ if(hp==0) return (x*p)/(x*p); /* p = 0 */
+ if((hx>=0x7f800000)|| /* x not finite */
+ ((hp>0x7f800000))) /* p is NaN */
+ return ((long double)x*p)/((long double)x*p);
+
+
+ if (hp<=0x7effffff) x = __ieee754_fmodf(x,p+p); /* now x < 2p */
+ if ((hx-hp)==0) return zero*x;
+ x = fabsf(x);
+ p = fabsf(p);
+ if (hp<0x01000000) {
+ if(x+x>p) {
+ x-=p;
+ if(x+x>=p) x -= p;
+ }
+ } else {
+ p_half = (float)0.5*p;
+ if(x>p_half) {
+ x-=p;
+ if(x>=p_half) x -= p;
+ }
+ }
+ GET_FLOAT_WORD(hx,x);
+ if ((hx&0x7fffffff)==0) hx = 0;
+ SET_FLOAT_WORD(x,hx^sx);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_remainderl.c b/libm/upstream-freebsd/lib/msun/src/e_remainderl.c
new file mode 100644
index 0000000..03327b8
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_remainderl.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+long double
+remainderl(long double x, long double y)
+{
+ int quo;
+
+ return (remquol(x, y, &quo));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_scalb.c b/libm/upstream-freebsd/lib/msun/src/e_scalb.c
new file mode 100644
index 0000000..c0a7b5b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_scalb.c
@@ -0,0 +1,47 @@
+
+/* @(#)e_scalb.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * __ieee754_scalb(x, fn) is provide for
+ * passing various standard test suite. One
+ * should use scalbn() instead.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+double
+__ieee754_scalb(double x, int fn)
+#else
+double
+__ieee754_scalb(double x, double fn)
+#endif
+{
+#ifdef _SCALB_INT
+ return scalbn(x,fn);
+#else
+ if (isnan(x)||isnan(fn)) return x*fn;
+ if (!finite(fn)) {
+ if(fn>0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (rint(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > 65000.0) return scalbn(x, 65000);
+ if (-fn > 65000.0) return scalbn(x,-65000);
+ return scalbn(x,(int)fn);
+#endif
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_scalbf.c b/libm/upstream-freebsd/lib/msun/src/e_scalbf.c
new file mode 100644
index 0000000..d49e904
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_scalbf.c
@@ -0,0 +1,43 @@
+/* e_scalbf.c -- float version of e_scalb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+#ifdef _SCALB_INT
+float
+__ieee754_scalbf(float x, int fn)
+#else
+float
+__ieee754_scalbf(float x, float fn)
+#endif
+{
+#ifdef _SCALB_INT
+ return scalbnf(x,fn);
+#else
+ if ((isnanf)(x)||(isnanf)(fn)) return x*fn;
+ if (!finitef(fn)) {
+ if(fn>(float)0.0) return x*fn;
+ else return x/(-fn);
+ }
+ if (rintf(fn)!=fn) return (fn-fn)/(fn-fn);
+ if ( fn > (float)65000.0) return scalbnf(x, 65000);
+ if (-fn > (float)65000.0) return scalbnf(x,-65000);
+ return scalbnf(x,(int)fn);
+#endif
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sinh.c b/libm/upstream-freebsd/lib/msun/src/e_sinh.c
new file mode 100644
index 0000000..6c01f4a
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sinh.c
@@ -0,0 +1,79 @@
+
+/* @(#)e_sinh.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_sinh(x)
+ * Method :
+ * mathematically sinh(x) if defined to be (exp(x)-exp(-x))/2
+ * 1. Replace x by |x| (sinh(-x) = -sinh(x)).
+ * 2.
+ * E + E/(E+1)
+ * 0 <= x <= 22 : sinh(x) := --------------, E=expm1(x)
+ * 2
+ *
+ * 22 <= x <= lnovft : sinh(x) := exp(x)/2
+ * lnovft <= x <= ln2ovft: sinh(x) := exp(x/2)/2 * exp(x/2)
+ * ln2ovft < x : sinh(x) := x*shuge (overflow)
+ *
+ * Special cases:
+ * sinh(x) is |x| if x is +INF, -INF, or NaN.
+ * only sinh(0)=0 is exact for finite x.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, shuge = 1.0e307;
+
+double
+__ieee754_sinh(double x)
+{
+ double t,h;
+ int32_t ix,jx;
+
+ /* High word of |x|. */
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,22], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3e300000) /* |x|<2**-28 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = expm1(fabs(x));
+ if(ix<0x3ff00000) return h*(2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [22, log(maxdouble)] return 0.5*exp(|x|) */
+ if (ix < 0x40862E42) return h*__ieee754_exp(fabs(x));
+
+ /* |x| in [log(maxdouble), overflowthresold] */
+ if (ix<=0x408633CE)
+ return h*2.0*__ldexp_exp(fabs(x), -1);
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(sinh, sinhl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sinhf.c b/libm/upstream-freebsd/lib/msun/src/e_sinhf.c
new file mode 100644
index 0000000..1be2dc3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sinhf.c
@@ -0,0 +1,56 @@
+/* e_sinhf.c -- float version of e_sinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0, shuge = 1.0e37;
+
+float
+__ieee754_sinhf(float x)
+{
+ float t,h;
+ int32_t ix,jx;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) return x+x;
+
+ h = 0.5;
+ if (jx<0) h = -h;
+ /* |x| in [0,9], return sign(x)*0.5*(E+E/(E+1))) */
+ if (ix < 0x41100000) { /* |x|<9 */
+ if (ix<0x39800000) /* |x|<2**-12 */
+ if(shuge+x>one) return x;/* sinh(tiny) = tiny with inexact */
+ t = expm1f(fabsf(x));
+ if(ix<0x3f800000) return h*((float)2.0*t-t*t/(t+one));
+ return h*(t+t/(t+one));
+ }
+
+ /* |x| in [9, logf(maxfloat)] return 0.5*exp(|x|) */
+ if (ix < 0x42b17217) return h*__ieee754_expf(fabsf(x));
+
+ /* |x| in [logf(maxfloat), overflowthresold] */
+ if (ix<=0x42b2d4fc)
+ return h*2.0F*__ldexp_expf(fabsf(x), -1);
+
+ /* |x| > overflowthresold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sinhl.c b/libm/upstream-freebsd/lib/msun/src/e_sinhl.c
new file mode 100644
index 0000000..ce7e333
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sinhl.c
@@ -0,0 +1,131 @@
+/* from: FreeBSD: head/lib/msun/src/e_sinhl.c XXX */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See e_sinh.c for complete comments.
+ *
+ * Converted to long double by Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+#include "k_expl.h"
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const long double shuge = 0x1p16383L;
+#if LDBL_MANT_DIG == 64
+/*
+ * Domain [-1, 1], range ~[-6.6749e-22, 6.6749e-22]:
+ * |sinh(x)/x - s(x)| < 2**-70.3
+ */
+static const union IEEEl2bits
+S3u = LD80C(0xaaaaaaaaaaaaaaaa, -3, 1.66666666666666666658e-1L);
+#define S3 S3u.e
+static const double
+S5 = 8.3333333333333332e-3, /* 0x11111111111111.0p-59 */
+S7 = 1.9841269841270074e-4, /* 0x1a01a01a01a070.0p-65 */
+S9 = 2.7557319223873889e-6, /* 0x171de3a5565fe6.0p-71 */
+S11 = 2.5052108406704084e-8, /* 0x1ae6456857530f.0p-78 */
+S13 = 1.6059042748655297e-10, /* 0x161245fa910697.0p-85 */
+S15 = 7.6470006914396920e-13, /* 0x1ae7ce4eff2792.0p-93 */
+S17 = 2.8346142308424267e-15; /* 0x19882ce789ffc6.0p-101 */
+#elif LDBL_MANT_DIG == 113
+/*
+ * Domain [-1, 1], range ~[-2.9673e-36, 2.9673e-36]:
+ * |sinh(x)/x - s(x)| < 2**-118.0
+ */
+static const long double
+S3 = 1.66666666666666666666666666666666033e-1L, /* 0x1555555555555555555555555553b.0p-115L */
+S5 = 8.33333333333333333333333333337643193e-3L, /* 0x111111111111111111111111180f5.0p-119L */
+S7 = 1.98412698412698412698412697391263199e-4L, /* 0x1a01a01a01a01a01a01a0176aad11.0p-125L */
+S9 = 2.75573192239858906525574406205464218e-6L, /* 0x171de3a556c7338faac243aaa9592.0p-131L */
+S11 = 2.50521083854417187749675637460977997e-8L, /* 0x1ae64567f544e38fe59b3380d7413.0p-138L */
+S13 = 1.60590438368216146368737762431552702e-10L, /* 0x16124613a86d098059c7620850fc2.0p-145L */
+S15 = 7.64716373181980539786802470969096440e-13L, /* 0x1ae7f3e733b814193af09ce723043.0p-153L */
+S17 = 2.81145725434775409870584280722701574e-15L; /* 0x1952c77030c36898c3fd0b6dfc562.0p-161L */
+static const double
+S19= 8.2206352435411005e-18, /* 0x12f49b4662b86d.0p-109 */
+S21= 1.9572943931418891e-20, /* 0x171b8f2fab9628.0p-118 */
+S23 = 3.8679983530666939e-23, /* 0x17617002b73afc.0p-127 */
+S25 = 6.5067867911512749e-26; /* 0x1423352626048a.0p-136 */
+#else
+#error "Unsupported long double format"
+#endif /* LDBL_MANT_DIG == 64 */
+
+/* log(2**16385 - 0.5) rounded up: */
+static const float
+o_threshold = 1.13572168e4; /* 0xb174de.0p-10 */
+
+long double
+sinhl(long double x)
+{
+ long double hi,lo,x2,x4;
+ double dx2,s;
+ int16_t ix,jx;
+
+ GET_LDBL_EXPSIGN(jx,x);
+ ix = jx&0x7fff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7fff) return x+x;
+
+ ENTERI();
+
+ s = 1;
+ if (jx<0) s = -1;
+
+ /* |x| < 64, return x, s(x), or accurate s*(exp(|x|)/2-1/exp(|x|)/2) */
+ if (ix<0x4005) { /* |x|<64 */
+ if (ix<BIAS-(LDBL_MANT_DIG+1)/2) /* |x|<TINY */
+ if(shuge+x>1) RETURNI(x); /* sinh(tiny) = tiny with inexact */
+ if (ix<0x3fff) { /* |x|<1 */
+ x2 = x*x;
+#if LDBL_MANT_DIG == 64
+ x4 = x2*x2;
+ RETURNI(((S17*x2 + S15)*x4 + (S13*x2 + S11))*(x2*x*x4*x4) +
+ ((S9*x2 + S7)*x2 + S5)*(x2*x*x2) + S3*(x2*x) + x);
+#elif LDBL_MANT_DIG == 113
+ dx2 = x2;
+ RETURNI(((((((((((S25*dx2 + S23)*dx2 +
+ S21)*x2 + S19)*x2 +
+ S17)*x2 + S15)*x2 + S13)*x2 + S11)*x2 + S9)*x2 + S7)*x2 +
+ S5)* (x2*x*x2) +
+ S3*(x2*x) + x);
+#endif
+ }
+ k_hexpl(fabsl(x), &hi, &lo);
+ RETURNI(s*(lo - 0.25/(hi + lo) + hi));
+ }
+
+ /* |x| in [64, o_threshold], return correctly-overflowing s*exp(|x|)/2 */
+ if (fabsl(x) <= o_threshold)
+ RETURNI(s*hexpl(fabsl(x)));
+
+ /* |x| > o_threshold, sinh(x) overflow */
+ return x*shuge;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sqrt.c b/libm/upstream-freebsd/lib/msun/src/e_sqrt.c
new file mode 100644
index 0000000..12fb56e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sqrt.c
@@ -0,0 +1,451 @@
+
+/* @(#)e_sqrt.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __ieee754_sqrt(x)
+ * Return correctly rounded sqrt.
+ * ------------------------------------------
+ * | Use the hardware sqrt if you have one |
+ * ------------------------------------------
+ * Method:
+ * Bit by bit method using integer arithmetic. (Slow, but portable)
+ * 1. Normalization
+ * Scale x to y in [1,4) with even powers of 2:
+ * find an integer k such that 1 <= (y=x*2^(2k)) < 4, then
+ * sqrt(x) = 2^k * sqrt(y)
+ * 2. Bit by bit computation
+ * Let q = sqrt(y) truncated to i bit after binary point (q = 1),
+ * i 0
+ * i+1 2
+ * s = 2*q , and y = 2 * ( y - q ). (1)
+ * i i i i
+ *
+ * To compute q from q , one checks whether
+ * i+1 i
+ *
+ * -(i+1) 2
+ * (q + 2 ) <= y. (2)
+ * i
+ * -(i+1)
+ * If (2) is false, then q = q ; otherwise q = q + 2 .
+ * i+1 i i+1 i
+ *
+ * With some algebric manipulation, it is not difficult to see
+ * that (2) is equivalent to
+ * -(i+1)
+ * s + 2 <= y (3)
+ * i i
+ *
+ * The advantage of (3) is that s and y can be computed by
+ * i i
+ * the following recurrence formula:
+ * if (3) is false
+ *
+ * s = s , y = y ; (4)
+ * i+1 i i+1 i
+ *
+ * otherwise,
+ * -i -(i+1)
+ * s = s + 2 , y = y - s - 2 (5)
+ * i+1 i i+1 i i
+ *
+ * One may easily use induction to prove (4) and (5).
+ * Note. Since the left hand side of (3) contain only i+2 bits,
+ * it does not necessary to do a full (53-bit) comparison
+ * in (3).
+ * 3. Final rounding
+ * After generating the 53 bits result, we compute one more bit.
+ * Together with the remainder, we can decide whether the
+ * result is exact, bigger than 1/2ulp, or less than 1/2ulp
+ * (it will never equal to 1/2ulp).
+ * The rounding mode can be detected by checking whether
+ * huge + tiny is equal to huge, and whether huge - tiny is
+ * equal to huge for some floating point number "huge" and "tiny".
+ *
+ * Special cases:
+ * sqrt(+-0) = +-0 ... exact
+ * sqrt(inf) = inf
+ * sqrt(-ve) = NaN ... with invalid signal
+ * sqrt(NaN) = NaN ... with invalid signal for signaling NaN
+ *
+ * Other methods : see the appended file at the end of the program below.
+ *---------------
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0, tiny=1.0e-300;
+
+double
+__ieee754_sqrt(double x)
+{
+ double z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix0,s0,q,m,t,i;
+ u_int32_t r,t1,s1,ix1,q1;
+
+ EXTRACT_WORDS(ix0,ix1,x);
+
+ /* take care of Inf and NaN */
+ if((ix0&0x7ff00000)==0x7ff00000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix0<=0) {
+ if(((ix0&(~sign))|ix1)==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix0<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix0>>20);
+ if(m==0) { /* subnormal x */
+ while(ix0==0) {
+ m -= 21;
+ ix0 |= (ix1>>11); ix1 <<= 21;
+ }
+ for(i=0;(ix0&0x00100000)==0;i++) ix0<<=1;
+ m -= i-1;
+ ix0 |= (ix1>>(32-i));
+ ix1 <<= i;
+ }
+ m -= 1023; /* unbias exponent */
+ ix0 = (ix0&0x000fffff)|0x00100000;
+ if(m&1){ /* odd m, double x to make it even */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ }
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ q = q1 = s0 = s1 = 0; /* [q,q1] = sqrt(x) */
+ r = 0x00200000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s0+r;
+ if(t<=ix0) {
+ s0 = t+r;
+ ix0 -= t;
+ q += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ r = sign;
+ while(r!=0) {
+ t1 = s1+r;
+ t = s0;
+ if((t<ix0)||((t==ix0)&&(t1<=ix1))) {
+ s1 = t1+r;
+ if(((t1&sign)==sign)&&(s1&sign)==0) s0 += 1;
+ ix0 -= t;
+ if (ix1 < t1) ix0 -= 1;
+ ix1 -= t1;
+ q1 += r;
+ }
+ ix0 += ix0 + ((ix1&sign)>>31);
+ ix1 += ix1;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if((ix0|ix1)!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (q1==(u_int32_t)0xffffffff) { q1=0; q += 1;}
+ else if (z>one) {
+ if (q1==(u_int32_t)0xfffffffe) q+=1;
+ q1+=2;
+ } else
+ q1 += (q1&1);
+ }
+ }
+ ix0 = (q>>1)+0x3fe00000;
+ ix1 = q1>>1;
+ if ((q&1)==1) ix1 |= sign;
+ ix0 += (m <<20);
+ INSERT_WORDS(z,ix0,ix1);
+ return z;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(sqrt, sqrtl);
+#endif
+
+/*
+Other methods (use floating-point arithmetic)
+-------------
+(This is a copy of a drafted paper by Prof W. Kahan
+and K.C. Ng, written in May, 1986)
+
+ Two algorithms are given here to implement sqrt(x)
+ (IEEE double precision arithmetic) in software.
+ Both supply sqrt(x) correctly rounded. The first algorithm (in
+ Section A) uses newton iterations and involves four divisions.
+ The second one uses reciproot iterations to avoid division, but
+ requires more multiplications. Both algorithms need the ability
+ to chop results of arithmetic operations instead of round them,
+ and the INEXACT flag to indicate when an arithmetic operation
+ is executed exactly with no roundoff error, all part of the
+ standard (IEEE 754-1985). The ability to perform shift, add,
+ subtract and logical AND operations upon 32-bit words is needed
+ too, though not part of the standard.
+
+A. sqrt(x) by Newton Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+
+ 1 11 52 ...widths
+ ------------------------------------------------------
+ x: |s| e | f |
+ ------------------------------------------------------
+ msb lsb msb lsb ...order
+
+
+ ------------------------ ------------------------
+ x0: |s| e | f1 | x1: | f2 |
+ ------------------------ ------------------------
+
+ By performing shifts and subtracts on x0 and x1 (both regarded
+ as integers), we obtain an 8-bit approximation of sqrt(x) as
+ follows.
+
+ k := (x0>>1) + 0x1ff80000;
+ y0 := k - T1[31&(k>>15)]. ... y ~ sqrt(x) to 8 bits
+ Here k is a 32-bit integer and T1[] is an integer array containing
+ correction terms. Now magically the floating value of y (y's
+ leading 32-bit word is y0, the value of its trailing word is 0)
+ approximates sqrt(x) to almost 8-bit.
+
+ Value of T1:
+ static int T1[32]= {
+ 0, 1024, 3062, 5746, 9193, 13348, 18162, 23592,
+ 29598, 36145, 43202, 50740, 58733, 67158, 75992, 85215,
+ 83599, 71378, 60428, 50647, 41945, 34246, 27478, 21581,
+ 16499, 12183, 8588, 5674, 3403, 1742, 661, 130,};
+
+ (2) Iterative refinement
+
+ Apply Heron's rule three times to y, we have y approximates
+ sqrt(x) to within 1 ulp (Unit in the Last Place):
+
+ y := (y+x/y)/2 ... almost 17 sig. bits
+ y := (y+x/y)/2 ... almost 35 sig. bits
+ y := y-(y-x/y)/2 ... within 1 ulp
+
+
+ Remark 1.
+ Another way to improve y to within 1 ulp is:
+
+ y := (y+x/y) ... almost 17 sig. bits to 2*sqrt(x)
+ y := y - 0x00100006 ... almost 18 sig. bits to sqrt(x)
+
+ 2
+ (x-y )*y
+ y := y + 2* ---------- ...within 1 ulp
+ 2
+ 3y + x
+
+
+ This formula has one division fewer than the one above; however,
+ it requires more multiplications and additions. Also x must be
+ scaled in advance to avoid spurious overflow in evaluating the
+ expression 3y*y+x. Hence it is not recommended uless division
+ is slow. If division is very slow, then one should use the
+ reciproot algorithm given in section B.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ I := FALSE; ... reset INEXACT flag I
+ R := RZ; ... set rounding mode to round-toward-zero
+ z := x/y; ... chopped quotient, possibly inexact
+ If(not I) then { ... if the quotient is exact
+ if(z=y) {
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+ } else {
+ z := z - ulp; ... special rounding
+ }
+ }
+ i := TRUE; ... sqrt(x) is inexact
+ If (r=RN) then z=z+ulp ... rounded-to-nearest
+ If (r=RP) then { ... round-toward-+inf
+ y = y+ulp; z=z+ulp;
+ }
+ y := y+z; ... chopped sum
+ y0:=y0-0x00100000; ... y := y/2 is correctly rounded.
+ I := i; ... restore inexact flag
+ R := r; ... restore rounded mode
+ return sqrt(x):=y.
+
+ (4) Special cases
+
+ Square root of +inf, +-0, or NaN is itself;
+ Square root of a negative number is NaN with invalid signal.
+
+
+B. sqrt(x) by Reciproot Iteration
+
+ (1) Initial approximation
+
+ Let x0 and x1 be the leading and the trailing 32-bit words of
+ a floating point number x (in IEEE double format) respectively
+ (see section A). By performing shifs and subtracts on x0 and y0,
+ we obtain a 7.8-bit approximation of 1/sqrt(x) as follows.
+
+ k := 0x5fe80000 - (x0>>1);
+ y0:= k - T2[63&(k>>14)]. ... y ~ 1/sqrt(x) to 7.8 bits
+
+ Here k is a 32-bit integer and T2[] is an integer array
+ containing correction terms. Now magically the floating
+ value of y (y's leading 32-bit word is y0, the value of
+ its trailing word y1 is set to zero) approximates 1/sqrt(x)
+ to almost 7.8-bit.
+
+ Value of T2:
+ static int T2[64]= {
+ 0x1500, 0x2ef8, 0x4d67, 0x6b02, 0x87be, 0xa395, 0xbe7a, 0xd866,
+ 0xf14a, 0x1091b,0x11fcd,0x13552,0x14999,0x15c98,0x16e34,0x17e5f,
+ 0x18d03,0x19a01,0x1a545,0x1ae8a,0x1b5c4,0x1bb01,0x1bfde,0x1c28d,
+ 0x1c2de,0x1c0db,0x1ba73,0x1b11c,0x1a4b5,0x1953d,0x18266,0x16be0,
+ 0x1683e,0x179d8,0x18a4d,0x19992,0x1a789,0x1b445,0x1bf61,0x1c989,
+ 0x1d16d,0x1d77b,0x1dddf,0x1e2ad,0x1e5bf,0x1e6e8,0x1e654,0x1e3cd,
+ 0x1df2a,0x1d635,0x1cb16,0x1be2c,0x1ae4e,0x19bde,0x1868e,0x16e2e,
+ 0x1527f,0x1334a,0x11051,0xe951, 0xbe01, 0x8e0d, 0x5924, 0x1edd,};
+
+ (2) Iterative refinement
+
+ Apply Reciproot iteration three times to y and multiply the
+ result by x to get an approximation z that matches sqrt(x)
+ to about 1 ulp. To be exact, we will have
+ -1ulp < sqrt(x)-z<1.0625ulp.
+
+ ... set rounding mode to Round-to-nearest
+ y := y*(1.5-0.5*x*y*y) ... almost 15 sig. bits to 1/sqrt(x)
+ y := y*((1.5-2^-30)+0.5*x*y*y)... about 29 sig. bits to 1/sqrt(x)
+ ... special arrangement for better accuracy
+ z := x*y ... 29 bits to sqrt(x), with z*y<1
+ z := z + 0.5*z*(1-z*y) ... about 1 ulp to sqrt(x)
+
+ Remark 2. The constant 1.5-2^-30 is chosen to bias the error so that
+ (a) the term z*y in the final iteration is always less than 1;
+ (b) the error in the final result is biased upward so that
+ -1 ulp < sqrt(x) - z < 1.0625 ulp
+ instead of |sqrt(x)-z|<1.03125ulp.
+
+ (3) Final adjustment
+
+ By twiddling y's last bit it is possible to force y to be
+ correctly rounded according to the prevailing rounding mode
+ as follows. Let r and i be copies of the rounding mode and
+ inexact flag before entering the square root program. Also we
+ use the expression y+-ulp for the next representable floating
+ numbers (up and down) of y. Note that y+-ulp = either fixed
+ point y+-1, or multiply y by nextafter(1,+-inf) in chopped
+ mode.
+
+ R := RZ; ... set rounding mode to round-toward-zero
+ switch(r) {
+ case RN: ... round-to-nearest
+ if(x<= z*(z-ulp)...chopped) z = z - ulp; else
+ if(x<= z*(z+ulp)...chopped) z = z; else z = z+ulp;
+ break;
+ case RZ:case RM: ... round-to-zero or round-to--inf
+ R:=RP; ... reset rounding mod to round-to-+inf
+ if(x<z*z ... rounded up) z = z - ulp; else
+ if(x>=(z+ulp)*(z+ulp) ...rounded up) z = z+ulp;
+ break;
+ case RP: ... round-to-+inf
+ if(x>(z+ulp)*(z+ulp)...chopped) z = z+2*ulp; else
+ if(x>z*z ...chopped) z = z+ulp;
+ break;
+ }
+
+ Remark 3. The above comparisons can be done in fixed point. For
+ example, to compare x and w=z*z chopped, it suffices to compare
+ x1 and w1 (the trailing parts of x and w), regarding them as
+ two's complement integers.
+
+ ...Is z an exact square root?
+ To determine whether z is an exact square root of x, let z1 be the
+ trailing part of z, and also let x0 and x1 be the leading and
+ trailing parts of x.
+
+ If ((z1&0x03ffffff)!=0) ... not exact if trailing 26 bits of z!=0
+ I := 1; ... Raise Inexact flag: z is not exact
+ else {
+ j := 1 - [(x0>>20)&1] ... j = logb(x) mod 2
+ k := z1 >> 26; ... get z's 25-th and 26-th
+ fraction bits
+ I := i or (k&j) or ((k&(j+j+1))!=(x1&3));
+ }
+ R:= r ... restore rounded mode
+ return sqrt(x):=z.
+
+ If multiplication is cheaper then the foregoing red tape, the
+ Inexact flag can be evaluated by
+
+ I := i;
+ I := (z*z!=x) or I.
+
+ Note that z*z can overwrite I; this value must be sensed if it is
+ True.
+
+ Remark 4. If z*z = x exactly, then bit 25 to bit 0 of z1 must be
+ zero.
+
+ --------------------
+ z1: | f2 |
+ --------------------
+ bit 31 bit 0
+
+ Further more, bit 27 and 26 of z1, bit 0 and 1 of x1, and the odd
+ or even of logb(x) have the following relations:
+
+ -------------------------------------------------
+ bit 27,26 of z1 bit 1,0 of x1 logb(x)
+ -------------------------------------------------
+ 00 00 odd and even
+ 01 01 even
+ 10 10 odd
+ 10 00 even
+ 11 01 even
+ -------------------------------------------------
+
+ (4) Special cases (see (4) of Section A).
+
+ */
+
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sqrtf.c b/libm/upstream-freebsd/lib/msun/src/e_sqrtf.c
new file mode 100644
index 0000000..7eba4d0
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sqrtf.c
@@ -0,0 +1,89 @@
+/* e_sqrtf.c -- float version of e_sqrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0, tiny=1.0e-30;
+
+float
+__ieee754_sqrtf(float x)
+{
+ float z;
+ int32_t sign = (int)0x80000000;
+ int32_t ix,s,q,m,t,i;
+ u_int32_t r;
+
+ GET_FLOAT_WORD(ix,x);
+
+ /* take care of Inf and NaN */
+ if((ix&0x7f800000)==0x7f800000) {
+ return x*x+x; /* sqrt(NaN)=NaN, sqrt(+inf)=+inf
+ sqrt(-inf)=sNaN */
+ }
+ /* take care of zero */
+ if(ix<=0) {
+ if((ix&(~sign))==0) return x;/* sqrt(+-0) = +-0 */
+ else if(ix<0)
+ return (x-x)/(x-x); /* sqrt(-ve) = sNaN */
+ }
+ /* normalize x */
+ m = (ix>>23);
+ if(m==0) { /* subnormal x */
+ for(i=0;(ix&0x00800000)==0;i++) ix<<=1;
+ m -= i-1;
+ }
+ m -= 127; /* unbias exponent */
+ ix = (ix&0x007fffff)|0x00800000;
+ if(m&1) /* odd m, double x to make it even */
+ ix += ix;
+ m >>= 1; /* m = [m/2] */
+
+ /* generate sqrt(x) bit by bit */
+ ix += ix;
+ q = s = 0; /* q = sqrt(x) */
+ r = 0x01000000; /* r = moving bit from right to left */
+
+ while(r!=0) {
+ t = s+r;
+ if(t<=ix) {
+ s = t+r;
+ ix -= t;
+ q += r;
+ }
+ ix += ix;
+ r>>=1;
+ }
+
+ /* use floating add to find out rounding direction */
+ if(ix!=0) {
+ z = one-tiny; /* trigger inexact flag */
+ if (z>=one) {
+ z = one+tiny;
+ if (z>one)
+ q += 2;
+ else
+ q += (q&1);
+ }
+ }
+ ix = (q>>1)+0x3f000000;
+ ix += (m <<23);
+ SET_FLOAT_WORD(z,ix);
+ return z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/e_sqrtl.c b/libm/upstream-freebsd/lib/msun/src/e_sqrtl.c
new file mode 100644
index 0000000..92b84de
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/e_sqrtl.c
@@ -0,0 +1,159 @@
+/*-
+ * Copyright (c) 2007 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <fenv.h>
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+
+/* Return (x + ulp) for normal positive x. Assumes no overflow. */
+static inline long double
+inc(long double x)
+{
+ union IEEEl2bits u;
+
+ u.e = x;
+ if (++u.bits.manl == 0) {
+ if (++u.bits.manh == 0) {
+ u.bits.exp++;
+ u.bits.manh |= LDBL_NBIT;
+ }
+ }
+ return (u.e);
+}
+
+/* Return (x - ulp) for normal positive x. Assumes no underflow. */
+static inline long double
+dec(long double x)
+{
+ union IEEEl2bits u;
+
+ u.e = x;
+ if (u.bits.manl-- == 0) {
+ if (u.bits.manh-- == LDBL_NBIT) {
+ u.bits.exp--;
+ u.bits.manh |= LDBL_NBIT;
+ }
+ }
+ return (u.e);
+}
+
+#pragma STDC FENV_ACCESS ON
+
+/*
+ * This is slow, but simple and portable. You should use hardware sqrt
+ * if possible.
+ */
+
+long double
+sqrtl(long double x)
+{
+ union IEEEl2bits u;
+ int k, r;
+ long double lo, xn;
+ fenv_t env;
+
+ u.e = x;
+
+ /* If x = NaN, then sqrt(x) = NaN. */
+ /* If x = Inf, then sqrt(x) = Inf. */
+ /* If x = -Inf, then sqrt(x) = NaN. */
+ if (u.bits.exp == LDBL_MAX_EXP * 2 - 1)
+ return (x * x + x);
+
+ /* If x = +-0, then sqrt(x) = +-0. */
+ if ((u.bits.manh | u.bits.manl | u.bits.exp) == 0)
+ return (x);
+
+ /* If x < 0, then raise invalid and return NaN */
+ if (u.bits.sign)
+ return ((x - x) / (x - x));
+
+ feholdexcept(&env);
+
+ if (u.bits.exp == 0) {
+ /* Adjust subnormal numbers. */
+ u.e *= 0x1.0p514;
+ k = -514;
+ } else {
+ k = 0;
+ }
+ /*
+ * u.e is a normal number, so break it into u.e = e*2^n where
+ * u.e = (2*e)*2^2k for odd n and u.e = (4*e)*2^2k for even n.
+ */
+ if ((u.bits.exp - 0x3ffe) & 1) { /* n is odd. */
+ k += u.bits.exp - 0x3fff; /* 2k = n - 1. */
+ u.bits.exp = 0x3fff; /* u.e in [1,2). */
+ } else {
+ k += u.bits.exp - 0x4000; /* 2k = n - 2. */
+ u.bits.exp = 0x4000; /* u.e in [2,4). */
+ }
+
+ /*
+ * Newton's iteration.
+ * Split u.e into a high and low part to achieve additional precision.
+ */
+ xn = sqrt(u.e); /* 53-bit estimate of sqrtl(x). */
+#if LDBL_MANT_DIG > 100
+ xn = (xn + (u.e / xn)) * 0.5; /* 106-bit estimate. */
+#endif
+ lo = u.e;
+ u.bits.manl = 0; /* Zero out lower bits. */
+ lo = (lo - u.e) / xn; /* Low bits divided by xn. */
+ xn = xn + (u.e / xn); /* High portion of estimate. */
+ u.e = xn + lo; /* Combine everything. */
+ u.bits.exp += (k >> 1) - 1;
+
+ feclearexcept(FE_INEXACT);
+ r = fegetround();
+ fesetround(FE_TOWARDZERO); /* Set to round-toward-zero. */
+ xn = x / u.e; /* Chopped quotient (inexact?). */
+
+ if (!fetestexcept(FE_INEXACT)) { /* Quotient is exact. */
+ if (xn == u.e) {
+ fesetenv(&env);
+ return (u.e);
+ }
+ /* Round correctly for inputs like x = y**2 - ulp. */
+ xn = dec(xn); /* xn = xn - ulp. */
+ }
+
+ if (r == FE_TONEAREST) {
+ xn = inc(xn); /* xn = xn + ulp. */
+ } else if (r == FE_UPWARD) {
+ u.e = inc(u.e); /* u.e = u.e + ulp. */
+ xn = inc(xn); /* xn = xn + ulp. */
+ }
+ u.e = u.e + xn; /* Chopped sum. */
+ feupdateenv(&env); /* Restore env and raise inexact */
+ u.bits.exp--;
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/imprecise.c b/libm/upstream-freebsd/lib/msun/src/imprecise.c
new file mode 100644
index 0000000..08cd239
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/imprecise.c
@@ -0,0 +1,63 @@
+/*-
+ * Copyright (c) 2013 David Chisnall
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <float.h>
+#include <math.h>
+
+/*
+ * If long double is not the same size as double, then these will lose
+ * precision and we should emit a warning whenever something links against
+ * them.
+ */
+#if (LDBL_MANT_DIG > 53)
+#define WARN_IMPRECISE(x) \
+ __warn_references(x, # x " has lower than advertised precision");
+#else
+#define WARN_IMPRECISE(x)
+#endif
+/*
+ * Declare the functions as weak variants so that other libraries providing
+ * real versions can override them.
+ */
+#define DECLARE_WEAK(x)\
+ __weak_reference(imprecise_## x, x);\
+ WARN_IMPRECISE(x)
+
+long double
+imprecise_powl(long double x, long double y)
+{
+
+ return pow(x, y);
+}
+DECLARE_WEAK(powl);
+
+#define DECLARE_IMPRECISE(f) \
+ long double imprecise_ ## f ## l(long double v) { return f(v); }\
+ DECLARE_WEAK(f ## l)
+
+DECLARE_IMPRECISE(tgamma);
diff --git a/libm/upstream-freebsd/lib/msun/src/k_cos.c b/libm/upstream-freebsd/lib/msun/src/k_cos.c
new file mode 100644
index 0000000..c4702e6
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_cos.c
@@ -0,0 +1,79 @@
+
+/* @(#)k_cos.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * __kernel_cos( x, y )
+ * kernel cos function on [-pi/4, pi/4], pi/4 ~ 0.785398164
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ *
+ * Algorithm
+ * 1. Since cos(-x) = cos(x), we need only to consider positive x.
+ * 2. if x < 2^-27 (hx<0x3e400000 0), return 1 with inexact if x!=0.
+ * 3. cos(x) is approximated by a polynomial of degree 14 on
+ * [0,pi/4]
+ * 4 14
+ * cos(x) ~ 1 - x*x/2 + C1*x + ... + C6*x
+ * where the remez error is
+ *
+ * | 2 4 6 8 10 12 14 | -58
+ * |cos(x)-(1-.5*x +C1*x +C2*x +C3*x +C4*x +C5*x +C6*x )| <= 2
+ * | |
+ *
+ * 4 6 8 10 12 14
+ * 4. let r = C1*x +C2*x +C3*x +C4*x +C5*x +C6*x , then
+ * cos(x) ~ 1 - x*x/2 + r
+ * since cos(x+y) ~ cos(x) - sin(x)*y
+ * ~ cos(x) - x*y,
+ * a correction term is necessary in cos(x) and hence
+ * cos(x+y) = 1 - (x*x/2 - (r - x*y))
+ * For better accuracy, rearrange to
+ * cos(x+y) ~ w + (tmp + (r-x*y))
+ * where w = 1 - x*x/2 and tmp is a tiny correction term
+ * (1 - x*x/2 == w + tmp exactly in infinite precision).
+ * The exactness of w + tmp in infinite precision depends on w
+ * and tmp having the same precision as x. If they have extra
+ * precision due to compiler bugs, then the extra precision is
+ * only good provided it is retained in all terms of the final
+ * expression for cos(). Retention happens in all cases tested
+ * under FreeBSD, so don't pessimize things by forcibly clipping
+ * any extra precision in w.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+C1 = 4.16666666666666019037e-02, /* 0x3FA55555, 0x5555554C */
+C2 = -1.38888888888741095749e-03, /* 0xBF56C16C, 0x16C15177 */
+C3 = 2.48015872894767294178e-05, /* 0x3EFA01A0, 0x19CB1590 */
+C4 = -2.75573143513906633035e-07, /* 0xBE927E4F, 0x809C52AD */
+C5 = 2.08757232129817482790e-09, /* 0x3E21EE9E, 0xBDB4B1C4 */
+C6 = -1.13596475577881948265e-11; /* 0xBDA8FAE9, 0xBE8838D4 */
+
+double
+__kernel_cos(double x, double y)
+{
+ double hz,z,r,w;
+
+ z = x*x;
+ w = z*z;
+ r = z*(C1+z*(C2+z*C3)) + w*w*(C4+z*(C5+z*C6));
+ hz = 0.5*z;
+ w = one-hz;
+ return w + (((one-w)-hz) + (z*r-x*y));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_cosf.c b/libm/upstream-freebsd/lib/msun/src/k_cosf.c
new file mode 100644
index 0000000..f7a2c0a
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_cosf.c
@@ -0,0 +1,46 @@
+/* k_cosf.c -- float version of k_cos.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Debugged and optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef INLINE_KERNEL_COSDF
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* |cos(x) - c(x)| < 2**-34.1 (~[-5.37e-11, 5.295e-11]). */
+static const double
+one = 1.0,
+C0 = -0x1ffffffd0c5e81.0p-54, /* -0.499999997251031003120 */
+C1 = 0x155553e1053a42.0p-57, /* 0.0416666233237390631894 */
+C2 = -0x16c087e80f1e27.0p-62, /* -0.00138867637746099294692 */
+C3 = 0x199342e0ee5069.0p-68; /* 0.0000243904487962774090654 */
+
+#ifdef INLINE_KERNEL_COSDF
+static __inline
+#endif
+float
+__kernel_cosdf(double x)
+{
+ double r, w, z;
+
+ /* Try to optimize for parallel evaluation as in k_tanf.c. */
+ z = x*x;
+ w = z*z;
+ r = C2+z*C3;
+ return ((one+z*C0) + w*C1) + (w*z)*r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_exp.c b/libm/upstream-freebsd/lib/msun/src/k_exp.c
new file mode 100644
index 0000000..5aa3ef3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_exp.c
@@ -0,0 +1,108 @@
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/k_exp.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const uint32_t k = 1799; /* constant for reduction */
+static const double kln2 = 1246.97177782734161156; /* k * ln2 */
+
+/*
+ * Compute exp(x), scaled to avoid spurious overflow. An exponent is
+ * returned separately in 'expt'.
+ *
+ * Input: ln(DBL_MAX) <= x < ln(2 * DBL_MAX / DBL_MIN_DENORM) ~= 1454.91
+ * Output: 2**1023 <= y < 2**1024
+ */
+static double
+__frexp_exp(double x, int *expt)
+{
+ double exp_x;
+ uint32_t hx;
+
+ /*
+ * We use exp(x) = exp(x - kln2) * 2**k, carefully chosen to
+ * minimize |exp(kln2) - 2**k|. We also scale the exponent of
+ * exp_x to MAX_EXP so that the result can be multiplied by
+ * a tiny number without losing accuracy due to denormalization.
+ */
+ exp_x = exp(x - kln2);
+ GET_HIGH_WORD(hx, exp_x);
+ *expt = (hx >> 20) - (0x3ff + 1023) + k;
+ SET_HIGH_WORD(exp_x, (hx & 0xfffff) | ((0x3ff + 1023) << 20));
+ return (exp_x);
+}
+
+/*
+ * __ldexp_exp(x, expt) and __ldexp_cexp(x, expt) compute exp(x) * 2**expt.
+ * They are intended for large arguments (real part >= ln(DBL_MAX))
+ * where care is needed to avoid overflow.
+ *
+ * The present implementation is narrowly tailored for our hyperbolic and
+ * exponential functions. We assume expt is small (0 or -1), and the caller
+ * has filtered out very large x, for which overflow would be inevitable.
+ */
+
+double
+__ldexp_exp(double x, int expt)
+{
+ double exp_x, scale;
+ int ex_expt;
+
+ exp_x = __frexp_exp(x, &ex_expt);
+ expt += ex_expt;
+ INSERT_WORDS(scale, (0x3ff + expt) << 20, 0);
+ return (exp_x * scale);
+}
+
+double complex
+__ldexp_cexp(double complex z, int expt)
+{
+ double x, y, exp_x, scale1, scale2;
+ int ex_expt, half_expt;
+
+ x = creal(z);
+ y = cimag(z);
+ exp_x = __frexp_exp(x, &ex_expt);
+ expt += ex_expt;
+
+ /*
+ * Arrange so that scale1 * scale2 == 2**expt. We use this to
+ * compensate for scalbn being horrendously slow.
+ */
+ half_expt = expt / 2;
+ INSERT_WORDS(scale1, (0x3ff + half_expt) << 20, 0);
+ half_expt = expt - half_expt;
+ INSERT_WORDS(scale2, (0x3ff + half_expt) << 20, 0);
+
+ return (CMPLX(cos(y) * exp_x * scale1 * scale2,
+ sin(y) * exp_x * scale1 * scale2));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_expf.c b/libm/upstream-freebsd/lib/msun/src/k_expf.c
new file mode 100644
index 0000000..8fe8c46
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_expf.c
@@ -0,0 +1,87 @@
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/k_expf.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const uint32_t k = 235; /* constant for reduction */
+static const float kln2 = 162.88958740F; /* k * ln2 */
+
+/*
+ * See k_exp.c for details.
+ *
+ * Input: ln(FLT_MAX) <= x < ln(2 * FLT_MAX / FLT_MIN_DENORM) ~= 192.7
+ * Output: 2**127 <= y < 2**128
+ */
+static float
+__frexp_expf(float x, int *expt)
+{
+ float exp_x;
+ uint32_t hx;
+
+ exp_x = expf(x - kln2);
+ GET_FLOAT_WORD(hx, exp_x);
+ *expt = (hx >> 23) - (0x7f + 127) + k;
+ SET_FLOAT_WORD(exp_x, (hx & 0x7fffff) | ((0x7f + 127) << 23));
+ return (exp_x);
+}
+
+float
+__ldexp_expf(float x, int expt)
+{
+ float exp_x, scale;
+ int ex_expt;
+
+ exp_x = __frexp_expf(x, &ex_expt);
+ expt += ex_expt;
+ SET_FLOAT_WORD(scale, (0x7f + expt) << 23);
+ return (exp_x * scale);
+}
+
+float complex
+__ldexp_cexpf(float complex z, int expt)
+{
+ float x, y, exp_x, scale1, scale2;
+ int ex_expt, half_expt;
+
+ x = crealf(z);
+ y = cimagf(z);
+ exp_x = __frexp_expf(x, &ex_expt);
+ expt += ex_expt;
+
+ half_expt = expt / 2;
+ SET_FLOAT_WORD(scale1, (0x7f + half_expt) << 23);
+ half_expt = expt - half_expt;
+ SET_FLOAT_WORD(scale2, (0x7f + half_expt) << 23);
+
+ return (CMPLXF(cosf(y) * exp_x * scale1 * scale2,
+ sinf(y) * exp_x * scale1 * scale2));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_log.h b/libm/upstream-freebsd/lib/msun/src/k_log.h
new file mode 100644
index 0000000..aaff8bd
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_log.h
@@ -0,0 +1,100 @@
+
+/* @(#)e_log.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * k_log1p(f):
+ * Return log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)].
+ *
+ * The following describes the overall strategy for computing
+ * logarithms in base e. The argument reduction and adding the final
+ * term of the polynomial are done by the caller for increased accuracy
+ * when different bases are used.
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * 2. Approximation of log(1+f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lg1*s +Lg2*s +Lg3*s +Lg4*s +Lg5*s +Lg6*s +Lg7*s
+ * (the values of Lg1 to Lg7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lg1*s +...+Lg7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log(1+f) = f - s*(f - R) (if f is not too large)
+ * log(1+f) = f - (hfsq - s*(hfsq+R)). (better accuracy)
+ *
+ * 3. Finally, log(x) = k*ln2 + log(1+f).
+ * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ * Here ln2 is split into two floating point number:
+ * ln2_hi + ln2_lo,
+ * where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ * log(x) is NaN with signal if x < 0 (including -INF) ;
+ * log(+INF) is +INF; log(0) is -INF with signal;
+ * log(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+static const double
+Lg1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lg2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lg3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lg4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lg5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lg6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lg7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+/*
+ * We always inline k_log1p(), since doing so produces a
+ * substantial performance improvement (~40% on amd64).
+ */
+static inline double
+k_log1p(double f)
+{
+ double hfsq,s,z,R,w,t1,t2;
+
+ s = f/(2.0+f);
+ z = s*s;
+ w = z*z;
+ t1= w*(Lg2+w*(Lg4+w*Lg6));
+ t2= z*(Lg1+w*(Lg3+w*(Lg5+w*Lg7)));
+ R = t2+t1;
+ hfsq=0.5*f*f;
+ return s*(hfsq+R);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_logf.h b/libm/upstream-freebsd/lib/msun/src/k_logf.h
new file mode 100644
index 0000000..71c547e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_logf.h
@@ -0,0 +1,39 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Float version of k_log.h. See the latter for most comments.
+ */
+
+static const float
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */
+Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */
+Lg2 = 0xccce13.0p-25, /* 0.40000972152 */
+Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */
+Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */
+
+static inline float
+k_log1pf(float f)
+{
+ float hfsq,s,z,R,w,t1,t2;
+
+ s = f/((float)2.0+f);
+ z = s*s;
+ w = z*z;
+ t1= w*(Lg2+w*Lg4);
+ t2= z*(Lg1+w*Lg3);
+ R = t2+t1;
+ hfsq=(float)0.5*f*f;
+ return s*(hfsq+R);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_rem_pio2.c b/libm/upstream-freebsd/lib/msun/src/k_rem_pio2.c
new file mode 100644
index 0000000..3942441
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_rem_pio2.c
@@ -0,0 +1,443 @@
+
+/* @(#)k_rem_pio2.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * __kernel_rem_pio2(x,y,e0,nx,prec)
+ * double x[],y[]; int e0,nx,prec;
+ *
+ * __kernel_rem_pio2 return the last three digits of N with
+ * y = x - N*pi/2
+ * so that |y| < pi/2.
+ *
+ * The method is to compute the integer (mod 8) and fraction parts of
+ * (2/pi)*x without doing the full multiplication. In general we
+ * skip the part of the product that are known to be a huge integer (
+ * more accurately, = 0 mod 8 ). Thus the number of operations are
+ * independent of the exponent of the input.
+ *
+ * (2/pi) is represented by an array of 24-bit integers in ipio2[].
+ *
+ * Input parameters:
+ * x[] The input value (must be positive) is broken into nx
+ * pieces of 24-bit integers in double precision format.
+ * x[i] will be the i-th 24 bit of x. The scaled exponent
+ * of x[0] is given in input parameter e0 (i.e., x[0]*2^e0
+ * match x's up to 24 bits.
+ *
+ * Example of breaking a double positive z into x[0]+x[1]+x[2]:
+ * e0 = ilogb(z)-23
+ * z = scalbn(z,-e0)
+ * for i = 0,1,2
+ * x[i] = floor(z)
+ * z = (z-x[i])*2**24
+ *
+ *
+ * y[] output result in an array of double precision numbers.
+ * The dimension of y[] is:
+ * 24-bit precision 1
+ * 53-bit precision 2
+ * 64-bit precision 2
+ * 113-bit precision 3
+ * The actual value is the sum of them. Thus for 113-bit
+ * precison, one may have to do something like:
+ *
+ * long double t,w,r_head, r_tail;
+ * t = (long double)y[2] + (long double)y[1];
+ * w = (long double)y[0];
+ * r_head = t+w;
+ * r_tail = w - (r_head - t);
+ *
+ * e0 The exponent of x[0]. Must be <= 16360 or you need to
+ * expand the ipio2 table.
+ *
+ * nx dimension of x[]
+ *
+ * prec an integer indicating the precision:
+ * 0 24 bits (single)
+ * 1 53 bits (double)
+ * 2 64 bits (extended)
+ * 3 113 bits (quad)
+ *
+ * External function:
+ * double scalbn(), floor();
+ *
+ *
+ * Here is the description of some local variables:
+ *
+ * jk jk+1 is the initial number of terms of ipio2[] needed
+ * in the computation. The minimum and recommended value
+ * for jk is 3,4,4,6 for single, double, extended, and quad.
+ * jk+1 must be 2 larger than you might expect so that our
+ * recomputation test works. (Up to 24 bits in the integer
+ * part (the 24 bits of it that we compute) and 23 bits in
+ * the fraction part may be lost to cancelation before we
+ * recompute.)
+ *
+ * jz local integer variable indicating the number of
+ * terms of ipio2[] used.
+ *
+ * jx nx - 1
+ *
+ * jv index for pointing to the suitable ipio2[] for the
+ * computation. In general, we want
+ * ( 2^e0*x[0] * ipio2[jv-1]*2^(-24jv) )/8
+ * is an integer. Thus
+ * e0-3-24*jv >= 0 or (e0-3)/24 >= jv
+ * Hence jv = max(0,(e0-3)/24).
+ *
+ * jp jp+1 is the number of terms in PIo2[] needed, jp = jk.
+ *
+ * q[] double array with integral value, representing the
+ * 24-bits chunk of the product of x and 2/pi.
+ *
+ * q0 the corresponding exponent of q[0]. Note that the
+ * exponent for q[i] would be q0-24*i.
+ *
+ * PIo2[] double precision array, obtained by cutting pi/2
+ * into 24 bits chunks.
+ *
+ * f[] ipio2[] in floating point
+ *
+ * iq[] integer array by breaking up q[] in 24-bits chunk.
+ *
+ * fq[] final product of x*(2/pi) in fq[0],..,fq[jk]
+ *
+ * ih integer. If >0 it indicates q[] is >= 0.5, hence
+ * it also indicates the *sign* of the result.
+ *
+ */
+
+
+/*
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const int init_jk[] = {3,4,4,6}; /* initial value for jk */
+
+/*
+ * Table of constants for 2/pi, 396 Hex digits (476 decimal) of 2/pi
+ *
+ * integer array, contains the (24*i)-th to (24*i+23)-th
+ * bit of 2/pi after binary point. The corresponding
+ * floating value is
+ *
+ * ipio2[i] * 2^(-24(i+1)).
+ *
+ * NB: This table must have at least (e0-3)/24 + jk terms.
+ * For quad precision (e0 <= 16360, jk = 6), this is 686.
+ */
+static const int32_t ipio2[] = {
+0xA2F983, 0x6E4E44, 0x1529FC, 0x2757D1, 0xF534DD, 0xC0DB62,
+0x95993C, 0x439041, 0xFE5163, 0xABDEBB, 0xC561B7, 0x246E3A,
+0x424DD2, 0xE00649, 0x2EEA09, 0xD1921C, 0xFE1DEB, 0x1CB129,
+0xA73EE8, 0x8235F5, 0x2EBB44, 0x84E99C, 0x7026B4, 0x5F7E41,
+0x3991D6, 0x398353, 0x39F49C, 0x845F8B, 0xBDF928, 0x3B1FF8,
+0x97FFDE, 0x05980F, 0xEF2F11, 0x8B5A0A, 0x6D1F6D, 0x367ECF,
+0x27CB09, 0xB74F46, 0x3F669E, 0x5FEA2D, 0x7527BA, 0xC7EBE5,
+0xF17B3D, 0x0739F7, 0x8A5292, 0xEA6BFB, 0x5FB11F, 0x8D5D08,
+0x560330, 0x46FC7B, 0x6BABF0, 0xCFBC20, 0x9AF436, 0x1DA9E3,
+0x91615E, 0xE61B08, 0x659985, 0x5F14A0, 0x68408D, 0xFFD880,
+0x4D7327, 0x310606, 0x1556CA, 0x73A8C9, 0x60E27B, 0xC08C6B,
+
+#if LDBL_MAX_EXP > 1024
+#if LDBL_MAX_EXP > 16384
+#error "ipio2 table needs to be expanded"
+#endif
+0x47C419, 0xC367CD, 0xDCE809, 0x2A8359, 0xC4768B, 0x961CA6,
+0xDDAF44, 0xD15719, 0x053EA5, 0xFF0705, 0x3F7E33, 0xE832C2,
+0xDE4F98, 0x327DBB, 0xC33D26, 0xEF6B1E, 0x5EF89F, 0x3A1F35,
+0xCAF27F, 0x1D87F1, 0x21907C, 0x7C246A, 0xFA6ED5, 0x772D30,
+0x433B15, 0xC614B5, 0x9D19C3, 0xC2C4AD, 0x414D2C, 0x5D000C,
+0x467D86, 0x2D71E3, 0x9AC69B, 0x006233, 0x7CD2B4, 0x97A7B4,
+0xD55537, 0xF63ED7, 0x1810A3, 0xFC764D, 0x2A9D64, 0xABD770,
+0xF87C63, 0x57B07A, 0xE71517, 0x5649C0, 0xD9D63B, 0x3884A7,
+0xCB2324, 0x778AD6, 0x23545A, 0xB91F00, 0x1B0AF1, 0xDFCE19,
+0xFF319F, 0x6A1E66, 0x615799, 0x47FBAC, 0xD87F7E, 0xB76522,
+0x89E832, 0x60BFE6, 0xCDC4EF, 0x09366C, 0xD43F5D, 0xD7DE16,
+0xDE3B58, 0x929BDE, 0x2822D2, 0xE88628, 0x4D58E2, 0x32CAC6,
+0x16E308, 0xCB7DE0, 0x50C017, 0xA71DF3, 0x5BE018, 0x34132E,
+0x621283, 0x014883, 0x5B8EF5, 0x7FB0AD, 0xF2E91E, 0x434A48,
+0xD36710, 0xD8DDAA, 0x425FAE, 0xCE616A, 0xA4280A, 0xB499D3,
+0xF2A606, 0x7F775C, 0x83C2A3, 0x883C61, 0x78738A, 0x5A8CAF,
+0xBDD76F, 0x63A62D, 0xCBBFF4, 0xEF818D, 0x67C126, 0x45CA55,
+0x36D9CA, 0xD2A828, 0x8D61C2, 0x77C912, 0x142604, 0x9B4612,
+0xC459C4, 0x44C5C8, 0x91B24D, 0xF31700, 0xAD43D4, 0xE54929,
+0x10D5FD, 0xFCBE00, 0xCC941E, 0xEECE70, 0xF53E13, 0x80F1EC,
+0xC3E7B3, 0x28F8C7, 0x940593, 0x3E71C1, 0xB3092E, 0xF3450B,
+0x9C1288, 0x7B20AB, 0x9FB52E, 0xC29247, 0x2F327B, 0x6D550C,
+0x90A772, 0x1FE76B, 0x96CB31, 0x4A1679, 0xE27941, 0x89DFF4,
+0x9794E8, 0x84E6E2, 0x973199, 0x6BED88, 0x365F5F, 0x0EFDBB,
+0xB49A48, 0x6CA467, 0x427271, 0x325D8D, 0xB8159F, 0x09E5BC,
+0x25318D, 0x3974F7, 0x1C0530, 0x010C0D, 0x68084B, 0x58EE2C,
+0x90AA47, 0x02E774, 0x24D6BD, 0xA67DF7, 0x72486E, 0xEF169F,
+0xA6948E, 0xF691B4, 0x5153D1, 0xF20ACF, 0x339820, 0x7E4BF5,
+0x6863B2, 0x5F3EDD, 0x035D40, 0x7F8985, 0x295255, 0xC06437,
+0x10D86D, 0x324832, 0x754C5B, 0xD4714E, 0x6E5445, 0xC1090B,
+0x69F52A, 0xD56614, 0x9D0727, 0x50045D, 0xDB3BB4, 0xC576EA,
+0x17F987, 0x7D6B49, 0xBA271D, 0x296996, 0xACCCC6, 0x5414AD,
+0x6AE290, 0x89D988, 0x50722C, 0xBEA404, 0x940777, 0x7030F3,
+0x27FC00, 0xA871EA, 0x49C266, 0x3DE064, 0x83DD97, 0x973FA3,
+0xFD9443, 0x8C860D, 0xDE4131, 0x9D3992, 0x8C70DD, 0xE7B717,
+0x3BDF08, 0x2B3715, 0xA0805C, 0x93805A, 0x921110, 0xD8E80F,
+0xAF806C, 0x4BFFDB, 0x0F9038, 0x761859, 0x15A562, 0xBBCB61,
+0xB989C7, 0xBD4010, 0x04F2D2, 0x277549, 0xF6B6EB, 0xBB22DB,
+0xAA140A, 0x2F2689, 0x768364, 0x333B09, 0x1A940E, 0xAA3A51,
+0xC2A31D, 0xAEEDAF, 0x12265C, 0x4DC26D, 0x9C7A2D, 0x9756C0,
+0x833F03, 0xF6F009, 0x8C402B, 0x99316D, 0x07B439, 0x15200C,
+0x5BC3D8, 0xC492F5, 0x4BADC6, 0xA5CA4E, 0xCD37A7, 0x36A9E6,
+0x9492AB, 0x6842DD, 0xDE6319, 0xEF8C76, 0x528B68, 0x37DBFC,
+0xABA1AE, 0x3115DF, 0xA1AE00, 0xDAFB0C, 0x664D64, 0xB705ED,
+0x306529, 0xBF5657, 0x3AFF47, 0xB9F96A, 0xF3BE75, 0xDF9328,
+0x3080AB, 0xF68C66, 0x15CB04, 0x0622FA, 0x1DE4D9, 0xA4B33D,
+0x8F1B57, 0x09CD36, 0xE9424E, 0xA4BE13, 0xB52333, 0x1AAAF0,
+0xA8654F, 0xA5C1D2, 0x0F3F0B, 0xCD785B, 0x76F923, 0x048B7B,
+0x721789, 0x53A6C6, 0xE26E6F, 0x00EBEF, 0x584A9B, 0xB7DAC4,
+0xBA66AA, 0xCFCF76, 0x1D02D1, 0x2DF1B1, 0xC1998C, 0x77ADC3,
+0xDA4886, 0xA05DF7, 0xF480C6, 0x2FF0AC, 0x9AECDD, 0xBC5C3F,
+0x6DDED0, 0x1FC790, 0xB6DB2A, 0x3A25A3, 0x9AAF00, 0x9353AD,
+0x0457B6, 0xB42D29, 0x7E804B, 0xA707DA, 0x0EAA76, 0xA1597B,
+0x2A1216, 0x2DB7DC, 0xFDE5FA, 0xFEDB89, 0xFDBE89, 0x6C76E4,
+0xFCA906, 0x70803E, 0x156E85, 0xFF87FD, 0x073E28, 0x336761,
+0x86182A, 0xEABD4D, 0xAFE7B3, 0x6E6D8F, 0x396795, 0x5BBF31,
+0x48D784, 0x16DF30, 0x432DC7, 0x356125, 0xCE70C9, 0xB8CB30,
+0xFD6CBF, 0xA200A4, 0xE46C05, 0xA0DD5A, 0x476F21, 0xD21262,
+0x845CB9, 0x496170, 0xE0566B, 0x015299, 0x375550, 0xB7D51E,
+0xC4F133, 0x5F6E13, 0xE4305D, 0xA92E85, 0xC3B21D, 0x3632A1,
+0xA4B708, 0xD4B1EA, 0x21F716, 0xE4698F, 0x77FF27, 0x80030C,
+0x2D408D, 0xA0CD4F, 0x99A520, 0xD3A2B3, 0x0A5D2F, 0x42F9B4,
+0xCBDA11, 0xD0BE7D, 0xC1DB9B, 0xBD17AB, 0x81A2CA, 0x5C6A08,
+0x17552E, 0x550027, 0xF0147F, 0x8607E1, 0x640B14, 0x8D4196,
+0xDEBE87, 0x2AFDDA, 0xB6256B, 0x34897B, 0xFEF305, 0x9EBFB9,
+0x4F6A68, 0xA82A4A, 0x5AC44F, 0xBCF82D, 0x985AD7, 0x95C7F4,
+0x8D4D0D, 0xA63A20, 0x5F57A4, 0xB13F14, 0x953880, 0x0120CC,
+0x86DD71, 0xB6DEC9, 0xF560BF, 0x11654D, 0x6B0701, 0xACB08C,
+0xD0C0B2, 0x485551, 0x0EFB1E, 0xC37295, 0x3B06A3, 0x3540C0,
+0x7BDC06, 0xCC45E0, 0xFA294E, 0xC8CAD6, 0x41F3E8, 0xDE647C,
+0xD8649B, 0x31BED9, 0xC397A4, 0xD45877, 0xC5E369, 0x13DAF0,
+0x3C3ABA, 0x461846, 0x5F7555, 0xF5BDD2, 0xC6926E, 0x5D2EAC,
+0xED440E, 0x423E1C, 0x87C461, 0xE9FD29, 0xF3D6E7, 0xCA7C22,
+0x35916F, 0xC5E008, 0x8DD7FF, 0xE26A6E, 0xC6FDB0, 0xC10893,
+0x745D7C, 0xB2AD6B, 0x9D6ECD, 0x7B723E, 0x6A11C6, 0xA9CFF7,
+0xDF7329, 0xBAC9B5, 0x5100B7, 0x0DB2E2, 0x24BA74, 0x607DE5,
+0x8AD874, 0x2C150D, 0x0C1881, 0x94667E, 0x162901, 0x767A9F,
+0xBEFDFD, 0xEF4556, 0x367ED9, 0x13D9EC, 0xB9BA8B, 0xFC97C4,
+0x27A831, 0xC36EF1, 0x36C594, 0x56A8D8, 0xB5A8B4, 0x0ECCCF,
+0x2D8912, 0x34576F, 0x89562C, 0xE3CE99, 0xB920D6, 0xAA5E6B,
+0x9C2A3E, 0xCC5F11, 0x4A0BFD, 0xFBF4E1, 0x6D3B8E, 0x2C86E2,
+0x84D4E9, 0xA9B4FC, 0xD1EEEF, 0xC9352E, 0x61392F, 0x442138,
+0xC8D91B, 0x0AFC81, 0x6A4AFB, 0xD81C2F, 0x84B453, 0x8C994E,
+0xCC2254, 0xDC552A, 0xD6C6C0, 0x96190B, 0xB8701A, 0x649569,
+0x605A26, 0xEE523F, 0x0F117F, 0x11B5F4, 0xF5CBFC, 0x2DBC34,
+0xEEBC34, 0xCC5DE8, 0x605EDD, 0x9B8E67, 0xEF3392, 0xB817C9,
+0x9B5861, 0xBC57E1, 0xC68351, 0x103ED8, 0x4871DD, 0xDD1C2D,
+0xA118AF, 0x462C21, 0xD7F359, 0x987AD9, 0xC0549E, 0xFA864F,
+0xFC0656, 0xAE79E5, 0x362289, 0x22AD38, 0xDC9367, 0xAAE855,
+0x382682, 0x9BE7CA, 0xA40D51, 0xB13399, 0x0ED7A9, 0x480569,
+0xF0B265, 0xA7887F, 0x974C88, 0x36D1F9, 0xB39221, 0x4A827B,
+0x21CF98, 0xDC9F40, 0x5547DC, 0x3A74E1, 0x42EB67, 0xDF9DFE,
+0x5FD45E, 0xA4677B, 0x7AACBA, 0xA2F655, 0x23882B, 0x55BA41,
+0x086E59, 0x862A21, 0x834739, 0xE6E389, 0xD49EE5, 0x40FB49,
+0xE956FF, 0xCA0F1C, 0x8A59C5, 0x2BFA94, 0xC5C1D3, 0xCFC50F,
+0xAE5ADB, 0x86C547, 0x624385, 0x3B8621, 0x94792C, 0x876110,
+0x7B4C2A, 0x1A2C80, 0x12BF43, 0x902688, 0x893C78, 0xE4C4A8,
+0x7BDBE5, 0xC23AC4, 0xEAF426, 0x8A67F7, 0xBF920D, 0x2BA365,
+0xB1933D, 0x0B7CBD, 0xDC51A4, 0x63DD27, 0xDDE169, 0x19949A,
+0x9529A8, 0x28CE68, 0xB4ED09, 0x209F44, 0xCA984E, 0x638270,
+0x237C7E, 0x32B90F, 0x8EF5A7, 0xE75614, 0x08F121, 0x2A9DB5,
+0x4D7E6F, 0x5119A5, 0xABF9B5, 0xD6DF82, 0x61DD96, 0x023616,
+0x9F3AC4, 0xA1A283, 0x6DED72, 0x7A8D39, 0xA9B882, 0x5C326B,
+0x5B2746, 0xED3400, 0x7700D2, 0x55F4FC, 0x4D5901, 0x8071E0,
+#endif
+
+};
+
+static const double PIo2[] = {
+ 1.57079625129699707031e+00, /* 0x3FF921FB, 0x40000000 */
+ 7.54978941586159635335e-08, /* 0x3E74442D, 0x00000000 */
+ 5.39030252995776476554e-15, /* 0x3CF84698, 0x80000000 */
+ 3.28200341580791294123e-22, /* 0x3B78CC51, 0x60000000 */
+ 1.27065575308067607349e-29, /* 0x39F01B83, 0x80000000 */
+ 1.22933308981111328932e-36, /* 0x387A2520, 0x40000000 */
+ 2.73370053816464559624e-44, /* 0x36E38222, 0x80000000 */
+ 2.16741683877804819444e-51, /* 0x3569F31D, 0x00000000 */
+};
+
+static const double
+zero = 0.0,
+one = 1.0,
+two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
+twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
+
+int
+__kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec)
+{
+ int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
+ double z,fw,f[20],fq[20],q[20];
+
+ /* initialize jk*/
+ jk = init_jk[prec];
+ jp = jk;
+
+ /* determine jx,jv,q0, note that 3>q0 */
+ jx = nx-1;
+ jv = (e0-3)/24; if(jv<0) jv=0;
+ q0 = e0-24*(jv+1);
+
+ /* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
+ j = jv-jx; m = jx+jk;
+ for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
+
+ /* compute q[0],q[1],...q[jk] */
+ for (i=0;i<=jk;i++) {
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j]; q[i] = fw;
+ }
+
+ jz = jk;
+recompute:
+ /* distill q[] into iq[] reversingly */
+ for(i=0,j=jz,z=q[jz];j>0;i++,j--) {
+ fw = (double)((int32_t)(twon24* z));
+ iq[i] = (int32_t)(z-two24*fw);
+ z = q[j-1]+fw;
+ }
+
+ /* compute n */
+ z = scalbn(z,q0); /* actual value of z */
+ z -= 8.0*floor(z*0.125); /* trim off integer >= 8 */
+ n = (int32_t) z;
+ z -= (double)n;
+ ih = 0;
+ if(q0>0) { /* need iq[jz-1] to determine n */
+ i = (iq[jz-1]>>(24-q0)); n += i;
+ iq[jz-1] -= i<<(24-q0);
+ ih = iq[jz-1]>>(23-q0);
+ }
+ else if(q0==0) ih = iq[jz-1]>>23;
+ else if(z>=0.5) ih=2;
+
+ if(ih>0) { /* q > 0.5 */
+ n += 1; carry = 0;
+ for(i=0;i<jz ;i++) { /* compute 1-q */
+ j = iq[i];
+ if(carry==0) {
+ if(j!=0) {
+ carry = 1; iq[i] = 0x1000000- j;
+ }
+ } else iq[i] = 0xffffff - j;
+ }
+ if(q0>0) { /* rare case: chance is 1 in 12 */
+ switch(q0) {
+ case 1:
+ iq[jz-1] &= 0x7fffff; break;
+ case 2:
+ iq[jz-1] &= 0x3fffff; break;
+ }
+ }
+ if(ih==2) {
+ z = one - z;
+ if(carry!=0) z -= scalbn(one,q0);
+ }
+ }
+
+ /* check if recomputation is needed */
+ if(z==zero) {
+ j = 0;
+ for (i=jz-1;i>=jk;i--) j |= iq[i];
+ if(j==0) { /* need recomputation */
+ for(k=1;iq[jk-k]==0;k++); /* k = no. of terms needed */
+
+ for(i=jz+1;i<=jz+k;i++) { /* add q[jz+1] to q[jz+k] */
+ f[jx+i] = (double) ipio2[jv+i];
+ for(j=0,fw=0.0;j<=jx;j++) fw += x[j]*f[jx+i-j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
+ }
+
+ /* chop off zero terms */
+ if(z==0.0) {
+ jz -= 1; q0 -= 24;
+ while(iq[jz]==0) { jz--; q0-=24;}
+ } else { /* break z into 24-bit if necessary */
+ z = scalbn(z,-q0);
+ if(z>=two24) {
+ fw = (double)((int32_t)(twon24*z));
+ iq[jz] = (int32_t)(z-two24*fw);
+ jz += 1; q0 += 24;
+ iq[jz] = (int32_t) fw;
+ } else iq[jz] = (int32_t) z ;
+ }
+
+ /* convert integer "bit" chunk to floating-point value */
+ fw = scalbn(one,q0);
+ for(i=jz;i>=0;i--) {
+ q[i] = fw*(double)iq[i]; fw*=twon24;
+ }
+
+ /* compute PIo2[0,...,jp]*q[jz,...,0] */
+ for(i=jz;i>=0;i--) {
+ for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
+ fq[jz-i] = fw;
+ }
+
+ /* compress fq[] into y[] */
+ switch(prec) {
+ case 0:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ y[0] = (ih==0)? fw: -fw;
+ break;
+ case 1:
+ case 2:
+ fw = 0.0;
+ for (i=jz;i>=0;i--) fw += fq[i];
+ STRICT_ASSIGN(double,fw,fw);
+ y[0] = (ih==0)? fw: -fw;
+ fw = fq[0]-fw;
+ for (i=1;i<=jz;i++) fw += fq[i];
+ y[1] = (ih==0)? fw: -fw;
+ break;
+ case 3: /* painful */
+ for (i=jz;i>0;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (i=jz;i>1;i--) {
+ fw = fq[i-1]+fq[i];
+ fq[i] += fq[i-1]-fw;
+ fq[i-1] = fw;
+ }
+ for (fw=0.0,i=jz;i>=2;i--) fw += fq[i];
+ if(ih==0) {
+ y[0] = fq[0]; y[1] = fq[1]; y[2] = fw;
+ } else {
+ y[0] = -fq[0]; y[1] = -fq[1]; y[2] = -fw;
+ }
+ }
+ return n&7;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_sin.c b/libm/upstream-freebsd/lib/msun/src/k_sin.c
new file mode 100644
index 0000000..12ee8c1
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_sin.c
@@ -0,0 +1,70 @@
+
+/* @(#)k_sin.c 1.3 95/01/18 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __kernel_sin( x, y, iy)
+ * kernel sin function on ~[-pi/4, pi/4] (except on -0), pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input iy indicates whether y is 0. (if iy=0, y assume to be 0).
+ *
+ * Algorithm
+ * 1. Since sin(-x) = -sin(x), we need only to consider positive x.
+ * 2. Callers must return sin(-0) = -0 without calling here since our
+ * odd polynomial is not evaluated in a way that preserves -0.
+ * Callers may do the optimization sin(x) ~ x for tiny x.
+ * 3. sin(x) is approximated by a polynomial of degree 13 on
+ * [0,pi/4]
+ * 3 13
+ * sin(x) ~ x + S1*x + ... + S6*x
+ * where
+ *
+ * |sin(x) 2 4 6 8 10 12 | -58
+ * |----- - (1+S1*x +S2*x +S3*x +S4*x +S5*x +S6*x )| <= 2
+ * | x |
+ *
+ * 4. sin(x+y) = sin(x) + sin'(x')*y
+ * ~ sin(x) + (1-x*x/2)*y
+ * For better accuracy, let
+ * 3 2 2 2 2
+ * r = x *(S2+x *(S3+x *(S4+x *(S5+x *S6))))
+ * then 3 2
+ * sin(x) = x + (S1*x + (x *(r-y/2)+y))
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+half = 5.00000000000000000000e-01, /* 0x3FE00000, 0x00000000 */
+S1 = -1.66666666666666324348e-01, /* 0xBFC55555, 0x55555549 */
+S2 = 8.33333333332248946124e-03, /* 0x3F811111, 0x1110F8A6 */
+S3 = -1.98412698298579493134e-04, /* 0xBF2A01A0, 0x19C161D5 */
+S4 = 2.75573137070700676789e-06, /* 0x3EC71DE3, 0x57B1FE7D */
+S5 = -2.50507602534068634195e-08, /* 0xBE5AE5E6, 0x8A2B9CEB */
+S6 = 1.58969099521155010221e-10; /* 0x3DE5D93A, 0x5ACFD57C */
+
+double
+__kernel_sin(double x, double y, int iy)
+{
+ double z,r,v,w;
+
+ z = x*x;
+ w = z*z;
+ r = S2+z*(S3+z*S4) + z*w*(S5+z*S6);
+ v = z*x;
+ if(iy==0) return x+v*(S1+z*r);
+ else return x-((z*(half*y-v*r)-y)-v*S1);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_sinf.c b/libm/upstream-freebsd/lib/msun/src/k_sinf.c
new file mode 100644
index 0000000..0841759
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_sinf.c
@@ -0,0 +1,46 @@
+/* k_sinf.c -- float version of k_sin.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef INLINE_KERNEL_SINDF
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* |sin(x)/x - s(x)| < 2**-37.5 (~[-4.89e-12, 4.824e-12]). */
+static const double
+S1 = -0x15555554cbac77.0p-55, /* -0.166666666416265235595 */
+S2 = 0x111110896efbb2.0p-59, /* 0.0083333293858894631756 */
+S3 = -0x1a00f9e2cae774.0p-65, /* -0.000198393348360966317347 */
+S4 = 0x16cd878c3b46a7.0p-71; /* 0.0000027183114939898219064 */
+
+#ifdef INLINE_KERNEL_SINDF
+static __inline
+#endif
+float
+__kernel_sindf(double x)
+{
+ double r, s, w, z;
+
+ /* Try to optimize for parallel evaluation as in k_tanf.c. */
+ z = x*x;
+ w = z*z;
+ r = S3+z*S4;
+ s = z*x;
+ return (x + s*(S1+z*S2)) + s*w*r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_tan.c b/libm/upstream-freebsd/lib/msun/src/k_tan.c
new file mode 100644
index 0000000..2e86c3b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_tan.c
@@ -0,0 +1,132 @@
+/* @(#)k_tan.c 1.5 04/04/22 SMI */
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/* INDENT OFF */
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* __kernel_tan( x, y, k )
+ * kernel tan function on ~[-pi/4, pi/4] (except on -0), pi/4 ~ 0.7854
+ * Input x is assumed to be bounded by ~pi/4 in magnitude.
+ * Input y is the tail of x.
+ * Input k indicates whether tan (if k = 1) or -1/tan (if k = -1) is returned.
+ *
+ * Algorithm
+ * 1. Since tan(-x) = -tan(x), we need only to consider positive x.
+ * 2. Callers must return tan(-0) = -0 without calling here since our
+ * odd polynomial is not evaluated in a way that preserves -0.
+ * Callers may do the optimization tan(x) ~ x for tiny x.
+ * 3. tan(x) is approximated by a odd polynomial of degree 27 on
+ * [0,0.67434]
+ * 3 27
+ * tan(x) ~ x + T1*x + ... + T13*x
+ * where
+ *
+ * |tan(x) 2 4 26 | -59.2
+ * |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
+ * | x |
+ *
+ * Note: tan(x+y) = tan(x) + tan'(x)*y
+ * ~ tan(x) + (1+x*x)*y
+ * Therefore, for better accuracy in computing tan(x+y), let
+ * 3 2 2 2 2
+ * r = x *(T2+x *(T3+x *(...+x *(T12+x *T13))))
+ * then
+ * 3 2
+ * tan(x+y) = x + (T1*x + (x *(r+y)+y))
+ *
+ * 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
+ * tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
+ * = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
+ */
+
+#include "math.h"
+#include "math_private.h"
+static const double xxx[] = {
+ 3.33333333333334091986e-01, /* 3FD55555, 55555563 */
+ 1.33333333333201242699e-01, /* 3FC11111, 1110FE7A */
+ 5.39682539762260521377e-02, /* 3FABA1BA, 1BB341FE */
+ 2.18694882948595424599e-02, /* 3F9664F4, 8406D637 */
+ 8.86323982359930005737e-03, /* 3F8226E3, E96E8493 */
+ 3.59207910759131235356e-03, /* 3F6D6D22, C9560328 */
+ 1.45620945432529025516e-03, /* 3F57DBC8, FEE08315 */
+ 5.88041240820264096874e-04, /* 3F4344D8, F2F26501 */
+ 2.46463134818469906812e-04, /* 3F3026F7, 1A8D1068 */
+ 7.81794442939557092300e-05, /* 3F147E88, A03792A6 */
+ 7.14072491382608190305e-05, /* 3F12B80F, 32F0A7E9 */
+ -1.85586374855275456654e-05, /* BEF375CB, DB605373 */
+ 2.59073051863633712884e-05, /* 3EFB2A70, 74BF7AD4 */
+/* one */ 1.00000000000000000000e+00, /* 3FF00000, 00000000 */
+/* pio4 */ 7.85398163397448278999e-01, /* 3FE921FB, 54442D18 */
+/* pio4lo */ 3.06161699786838301793e-17 /* 3C81A626, 33145C07 */
+};
+#define one xxx[13]
+#define pio4 xxx[14]
+#define pio4lo xxx[15]
+#define T xxx
+/* INDENT ON */
+
+double
+__kernel_tan(double x, double y, int iy) {
+ double z, r, v, w, s;
+ int32_t ix, hx;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx & 0x7fffffff; /* high word of |x| */
+ if (ix >= 0x3FE59428) { /* |x| >= 0.6744 */
+ if (hx < 0) {
+ x = -x;
+ y = -y;
+ }
+ z = pio4 - x;
+ w = pio4lo - y;
+ x = z + w;
+ y = 0.0;
+ }
+ z = x * x;
+ w = z * z;
+ /*
+ * Break x^5*(T[1]+x^2*T[2]+...) into
+ * x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
+ * x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
+ */
+ r = T[1] + w * (T[3] + w * (T[5] + w * (T[7] + w * (T[9] +
+ w * T[11]))));
+ v = z * (T[2] + w * (T[4] + w * (T[6] + w * (T[8] + w * (T[10] +
+ w * T[12])))));
+ s = z * x;
+ r = y + z * (s * (r + v) + y);
+ r += T[0] * s;
+ w = x + r;
+ if (ix >= 0x3FE59428) {
+ v = (double) iy;
+ return (double) (1 - ((hx >> 30) & 2)) *
+ (v - 2.0 * (x - (w * w / (w + v) - r)));
+ }
+ if (iy == 1)
+ return w;
+ else {
+ /*
+ * if allow error up to 2 ulp, simply return
+ * -1.0 / (x+r) here
+ */
+ /* compute -1.0 / (x+r) accurately */
+ double a, t;
+ z = w;
+ SET_LOW_WORD(z,0);
+ v = r - (z - x); /* z+v = r+x */
+ t = a = -1.0 / w; /* a = -1.0/w */
+ SET_LOW_WORD(t,0);
+ s = 1.0 + t * z;
+ return t + a * (s + t * v);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/k_tanf.c b/libm/upstream-freebsd/lib/msun/src/k_tanf.c
new file mode 100644
index 0000000..52f1aaa
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/k_tanf.c
@@ -0,0 +1,66 @@
+/* k_tanf.c -- float version of k_tan.c
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright 2004 Sun Microsystems, Inc. All Rights Reserved.
+ *
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef INLINE_KERNEL_TANDF
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+#endif
+
+#include "math.h"
+#include "math_private.h"
+
+/* |tan(x)/x - t(x)| < 2**-25.5 (~[-2e-08, 2e-08]). */
+static const double
+T[] = {
+ 0x15554d3418c99f.0p-54, /* 0.333331395030791399758 */
+ 0x1112fd38999f72.0p-55, /* 0.133392002712976742718 */
+ 0x1b54c91d865afe.0p-57, /* 0.0533812378445670393523 */
+ 0x191df3908c33ce.0p-58, /* 0.0245283181166547278873 */
+ 0x185dadfcecf44e.0p-61, /* 0.00297435743359967304927 */
+ 0x1362b9bf971bcd.0p-59, /* 0.00946564784943673166728 */
+};
+
+#ifdef INLINE_KERNEL_TANDF
+static __inline
+#endif
+float
+__kernel_tandf(double x, int iy)
+{
+ double z,r,w,s,t,u;
+
+ z = x*x;
+ /*
+ * Split up the polynomial into small independent terms to give
+ * opportunities for parallel evaluation. The chosen splitting is
+ * micro-optimized for Athlons (XP, X64). It costs 2 multiplications
+ * relative to Horner's method on sequential machines.
+ *
+ * We add the small terms from lowest degree up for efficiency on
+ * non-sequential machines (the lowest degree terms tend to be ready
+ * earlier). Apart from this, we don't care about order of
+ * operations, and don't need to to care since we have precision to
+ * spare. However, the chosen splitting is good for accuracy too,
+ * and would give results as accurate as Horner's method if the
+ * small terms were added from highest degree down.
+ */
+ r = T[4]+z*T[5];
+ t = T[2]+z*T[3];
+ w = z*z;
+ s = z*x;
+ u = T[0]+z*T[1];
+ r = (x+s*u)+(s*w)*(t+w*r);
+ if(iy==1) return r;
+ else return -1.0/r;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/math_private.h b/libm/upstream-freebsd/lib/msun/src/math_private.h
new file mode 100644
index 0000000..1f10e8b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/math_private.h
@@ -0,0 +1,776 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+/*
+ * from: @(#)fdlibm.h 5.1 93/09/24
+ * $FreeBSD: head/lib/msun/src/math_private.h 276176 2014-12-24 10:13:53Z ed $
+ */
+
+#ifndef _MATH_PRIVATE_H_
+#define _MATH_PRIVATE_H_
+
+#include <sys/types.h>
+#include <machine/endian.h>
+
+/*
+ * The original fdlibm code used statements like:
+ * n0 = ((*(int*)&one)>>29)^1; * index of high word *
+ * ix0 = *(n0+(int*)&x); * high word of x *
+ * ix1 = *((1-n0)+(int*)&x); * low word of x *
+ * to dig two 32 bit words out of the 64 bit IEEE floating point
+ * value. That is non-ANSI, and, moreover, the gcc instruction
+ * scheduler gets it wrong. We instead use the following macros.
+ * Unlike the original code, we determine the endianness at compile
+ * time, not at run time; I don't see much benefit to selecting
+ * endianness at run time.
+ */
+
+/*
+ * A union which permits us to convert between a double and two 32 bit
+ * ints.
+ */
+
+#ifdef __arm__
+#if defined(__VFP_FP__) || defined(__ARM_EABI__)
+#define IEEE_WORD_ORDER BYTE_ORDER
+#else
+#define IEEE_WORD_ORDER BIG_ENDIAN
+#endif
+#else /* __arm__ */
+#define IEEE_WORD_ORDER BYTE_ORDER
+#endif
+
+#if IEEE_WORD_ORDER == BIG_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t msw;
+ u_int32_t lsw;
+ } parts;
+ struct
+ {
+ u_int64_t w;
+ } xparts;
+} ieee_double_shape_type;
+
+#endif
+
+#if IEEE_WORD_ORDER == LITTLE_ENDIAN
+
+typedef union
+{
+ double value;
+ struct
+ {
+ u_int32_t lsw;
+ u_int32_t msw;
+ } parts;
+ struct
+ {
+ u_int64_t w;
+ } xparts;
+} ieee_double_shape_type;
+
+#endif
+
+/* Get two 32 bit ints from a double. */
+
+#define EXTRACT_WORDS(ix0,ix1,d) \
+do { \
+ ieee_double_shape_type ew_u; \
+ ew_u.value = (d); \
+ (ix0) = ew_u.parts.msw; \
+ (ix1) = ew_u.parts.lsw; \
+} while (0)
+
+/* Get a 64-bit int from a double. */
+#define EXTRACT_WORD64(ix,d) \
+do { \
+ ieee_double_shape_type ew_u; \
+ ew_u.value = (d); \
+ (ix) = ew_u.xparts.w; \
+} while (0)
+
+/* Get the more significant 32 bit int from a double. */
+
+#define GET_HIGH_WORD(i,d) \
+do { \
+ ieee_double_shape_type gh_u; \
+ gh_u.value = (d); \
+ (i) = gh_u.parts.msw; \
+} while (0)
+
+/* Get the less significant 32 bit int from a double. */
+
+#define GET_LOW_WORD(i,d) \
+do { \
+ ieee_double_shape_type gl_u; \
+ gl_u.value = (d); \
+ (i) = gl_u.parts.lsw; \
+} while (0)
+
+/* Set a double from two 32 bit ints. */
+
+#define INSERT_WORDS(d,ix0,ix1) \
+do { \
+ ieee_double_shape_type iw_u; \
+ iw_u.parts.msw = (ix0); \
+ iw_u.parts.lsw = (ix1); \
+ (d) = iw_u.value; \
+} while (0)
+
+/* Set a double from a 64-bit int. */
+#define INSERT_WORD64(d,ix) \
+do { \
+ ieee_double_shape_type iw_u; \
+ iw_u.xparts.w = (ix); \
+ (d) = iw_u.value; \
+} while (0)
+
+/* Set the more significant 32 bits of a double from an int. */
+
+#define SET_HIGH_WORD(d,v) \
+do { \
+ ieee_double_shape_type sh_u; \
+ sh_u.value = (d); \
+ sh_u.parts.msw = (v); \
+ (d) = sh_u.value; \
+} while (0)
+
+/* Set the less significant 32 bits of a double from an int. */
+
+#define SET_LOW_WORD(d,v) \
+do { \
+ ieee_double_shape_type sl_u; \
+ sl_u.value = (d); \
+ sl_u.parts.lsw = (v); \
+ (d) = sl_u.value; \
+} while (0)
+
+/*
+ * A union which permits us to convert between a float and a 32 bit
+ * int.
+ */
+
+typedef union
+{
+ float value;
+ /* FIXME: Assumes 32 bit int. */
+ unsigned int word;
+} ieee_float_shape_type;
+
+/* Get a 32 bit int from a float. */
+
+#define GET_FLOAT_WORD(i,d) \
+do { \
+ ieee_float_shape_type gf_u; \
+ gf_u.value = (d); \
+ (i) = gf_u.word; \
+} while (0)
+
+/* Set a float from a 32 bit int. */
+
+#define SET_FLOAT_WORD(d,i) \
+do { \
+ ieee_float_shape_type sf_u; \
+ sf_u.word = (i); \
+ (d) = sf_u.value; \
+} while (0)
+
+/*
+ * Get expsign and mantissa as 16 bit and 64 bit ints from an 80 bit long
+ * double.
+ */
+
+#define EXTRACT_LDBL80_WORDS(ix0,ix1,d) \
+do { \
+ union IEEEl2bits ew_u; \
+ ew_u.e = (d); \
+ (ix0) = ew_u.xbits.expsign; \
+ (ix1) = ew_u.xbits.man; \
+} while (0)
+
+/*
+ * Get expsign and mantissa as one 16 bit and two 64 bit ints from a 128 bit
+ * long double.
+ */
+
+#define EXTRACT_LDBL128_WORDS(ix0,ix1,ix2,d) \
+do { \
+ union IEEEl2bits ew_u; \
+ ew_u.e = (d); \
+ (ix0) = ew_u.xbits.expsign; \
+ (ix1) = ew_u.xbits.manh; \
+ (ix2) = ew_u.xbits.manl; \
+} while (0)
+
+/* Get expsign as a 16 bit int from a long double. */
+
+#define GET_LDBL_EXPSIGN(i,d) \
+do { \
+ union IEEEl2bits ge_u; \
+ ge_u.e = (d); \
+ (i) = ge_u.xbits.expsign; \
+} while (0)
+
+/*
+ * Set an 80 bit long double from a 16 bit int expsign and a 64 bit int
+ * mantissa.
+ */
+
+#define INSERT_LDBL80_WORDS(d,ix0,ix1) \
+do { \
+ union IEEEl2bits iw_u; \
+ iw_u.xbits.expsign = (ix0); \
+ iw_u.xbits.man = (ix1); \
+ (d) = iw_u.e; \
+} while (0)
+
+/*
+ * Set a 128 bit long double from a 16 bit int expsign and two 64 bit ints
+ * comprising the mantissa.
+ */
+
+#define INSERT_LDBL128_WORDS(d,ix0,ix1,ix2) \
+do { \
+ union IEEEl2bits iw_u; \
+ iw_u.xbits.expsign = (ix0); \
+ iw_u.xbits.manh = (ix1); \
+ iw_u.xbits.manl = (ix2); \
+ (d) = iw_u.e; \
+} while (0)
+
+/* Set expsign of a long double from a 16 bit int. */
+
+#define SET_LDBL_EXPSIGN(d,v) \
+do { \
+ union IEEEl2bits se_u; \
+ se_u.e = (d); \
+ se_u.xbits.expsign = (v); \
+ (d) = se_u.e; \
+} while (0)
+
+#ifdef __i386__
+/* Long double constants are broken on i386. */
+#define LD80C(m, ex, v) { \
+ .xbits.man = __CONCAT(m, ULL), \
+ .xbits.expsign = (0x3fff + (ex)) | ((v) < 0 ? 0x8000 : 0), \
+}
+#else
+/* The above works on non-i386 too, but we use this to check v. */
+#define LD80C(m, ex, v) { .e = (v), }
+#endif
+
+#ifdef FLT_EVAL_METHOD
+/*
+ * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
+ */
+#if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
+#define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
+#else
+#define STRICT_ASSIGN(type, lval, rval) do { \
+ volatile type __lval; \
+ \
+ if (sizeof(type) >= sizeof(long double)) \
+ (lval) = (rval); \
+ else { \
+ __lval = (rval); \
+ (lval) = __lval; \
+ } \
+} while (0)
+#endif
+#endif /* FLT_EVAL_METHOD */
+
+/* Support switching the mode to FP_PE if necessary. */
+#if defined(__i386__) && !defined(NO_FPSETPREC)
+#define ENTERI() \
+ long double __retval; \
+ fp_prec_t __oprec; \
+ \
+ if ((__oprec = fpgetprec()) != FP_PE) \
+ fpsetprec(FP_PE)
+#define RETURNI(x) do { \
+ __retval = (x); \
+ if (__oprec != FP_PE) \
+ fpsetprec(__oprec); \
+ RETURNF(__retval); \
+} while (0)
+#else
+#define ENTERI(x)
+#define RETURNI(x) RETURNF(x)
+#endif
+
+/* Default return statement if hack*_t() is not used. */
+#define RETURNF(v) return (v)
+
+/*
+ * 2sum gives the same result as 2sumF without requiring |a| >= |b| or
+ * a == 0, but is slower.
+ */
+#define _2sum(a, b) do { \
+ __typeof(a) __s, __w; \
+ \
+ __w = (a) + (b); \
+ __s = __w - (a); \
+ (b) = ((a) - (__w - __s)) + ((b) - __s); \
+ (a) = __w; \
+} while (0)
+
+/*
+ * 2sumF algorithm.
+ *
+ * "Normalize" the terms in the infinite-precision expression a + b for
+ * the sum of 2 floating point values so that b is as small as possible
+ * relative to 'a'. (The resulting 'a' is the value of the expression in
+ * the same precision as 'a' and the resulting b is the rounding error.)
+ * |a| must be >= |b| or 0, b's type must be no larger than 'a's type, and
+ * exponent overflow or underflow must not occur. This uses a Theorem of
+ * Dekker (1971). See Knuth (1981) 4.2.2 Theorem C. The name "TwoSum"
+ * is apparently due to Skewchuk (1997).
+ *
+ * For this to always work, assignment of a + b to 'a' must not retain any
+ * extra precision in a + b. This is required by C standards but broken
+ * in many compilers. The brokenness cannot be worked around using
+ * STRICT_ASSIGN() like we do elsewhere, since the efficiency of this
+ * algorithm would be destroyed by non-null strict assignments. (The
+ * compilers are correct to be broken -- the efficiency of all floating
+ * point code calculations would be destroyed similarly if they forced the
+ * conversions.)
+ *
+ * Fortunately, a case that works well can usually be arranged by building
+ * any extra precision into the type of 'a' -- 'a' should have type float_t,
+ * double_t or long double. b's type should be no larger than 'a's type.
+ * Callers should use these types with scopes as large as possible, to
+ * reduce their own extra-precision and efficiciency problems. In
+ * particular, they shouldn't convert back and forth just to call here.
+ */
+#ifdef DEBUG
+#define _2sumF(a, b) do { \
+ __typeof(a) __w; \
+ volatile __typeof(a) __ia, __ib, __r, __vw; \
+ \
+ __ia = (a); \
+ __ib = (b); \
+ assert(__ia == 0 || fabsl(__ia) >= fabsl(__ib)); \
+ \
+ __w = (a) + (b); \
+ (b) = ((a) - __w) + (b); \
+ (a) = __w; \
+ \
+ /* The next 2 assertions are weak if (a) is already long double. */ \
+ assert((long double)__ia + __ib == (long double)(a) + (b)); \
+ __vw = __ia + __ib; \
+ __r = __ia - __vw; \
+ __r += __ib; \
+ assert(__vw == (a) && __r == (b)); \
+} while (0)
+#else /* !DEBUG */
+#define _2sumF(a, b) do { \
+ __typeof(a) __w; \
+ \
+ __w = (a) + (b); \
+ (b) = ((a) - __w) + (b); \
+ (a) = __w; \
+} while (0)
+#endif /* DEBUG */
+
+/*
+ * Set x += c, where x is represented in extra precision as a + b.
+ * x must be sufficiently normalized and sufficiently larger than c,
+ * and the result is then sufficiently normalized.
+ *
+ * The details of ordering are that |a| must be >= |c| (so that (a, c)
+ * can be normalized without extra work to swap 'a' with c). The details of
+ * the normalization are that b must be small relative to the normalized 'a'.
+ * Normalization of (a, c) makes the normalized c tiny relative to the
+ * normalized a, so b remains small relative to 'a' in the result. However,
+ * b need not ever be tiny relative to 'a'. For example, b might be about
+ * 2**20 times smaller than 'a' to give about 20 extra bits of precision.
+ * That is usually enough, and adding c (which by normalization is about
+ * 2**53 times smaller than a) cannot change b significantly. However,
+ * cancellation of 'a' with c in normalization of (a, c) may reduce 'a'
+ * significantly relative to b. The caller must ensure that significant
+ * cancellation doesn't occur, either by having c of the same sign as 'a',
+ * or by having |c| a few percent smaller than |a|. Pre-normalization of
+ * (a, b) may help.
+ *
+ * This is is a variant of an algorithm of Kahan (see Knuth (1981) 4.2.2
+ * exercise 19). We gain considerable efficiency by requiring the terms to
+ * be sufficiently normalized and sufficiently increasing.
+ */
+#define _3sumF(a, b, c) do { \
+ __typeof(a) __tmp; \
+ \
+ __tmp = (c); \
+ _2sumF(__tmp, (a)); \
+ (b) += (a); \
+ (a) = __tmp; \
+} while (0)
+
+/*
+ * Common routine to process the arguments to nan(), nanf(), and nanl().
+ */
+void _scan_nan(uint32_t *__words, int __num_words, const char *__s);
+
+#ifdef _COMPLEX_H
+
+/*
+ * C99 specifies that complex numbers have the same representation as
+ * an array of two elements, where the first element is the real part
+ * and the second element is the imaginary part.
+ */
+typedef union {
+ float complex f;
+ float a[2];
+} float_complex;
+typedef union {
+ double complex f;
+ double a[2];
+} double_complex;
+typedef union {
+ long double complex f;
+ long double a[2];
+} long_double_complex;
+#define REALPART(z) ((z).a[0])
+#define IMAGPART(z) ((z).a[1])
+
+/*
+ * Inline functions that can be used to construct complex values.
+ *
+ * The C99 standard intends x+I*y to be used for this, but x+I*y is
+ * currently unusable in general since gcc introduces many overflow,
+ * underflow, sign and efficiency bugs by rewriting I*y as
+ * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product.
+ * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted
+ * to -0.0+I*0.0.
+ *
+ * The C11 standard introduced the macros CMPLX(), CMPLXF() and CMPLXL()
+ * to construct complex values. Compilers that conform to the C99
+ * standard require the following functions to avoid the above issues.
+ */
+
+#ifndef CMPLXF
+static __inline float complex
+CMPLXF(float x, float y)
+{
+ float_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+#endif
+
+#ifndef CMPLX
+static __inline double complex
+CMPLX(double x, double y)
+{
+ double_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+#endif
+
+#ifndef CMPLXL
+static __inline long double complex
+CMPLXL(long double x, long double y)
+{
+ long_double_complex z;
+
+ REALPART(z) = x;
+ IMAGPART(z) = y;
+ return (z.f);
+}
+#endif
+
+#endif /* _COMPLEX_H */
+
+#ifdef __GNUCLIKE_ASM
+
+/* Asm versions of some functions. */
+
+#ifdef __amd64__
+static __inline int
+irint(double x)
+{
+ int n;
+
+ asm("cvtsd2si %1,%0" : "=r" (n) : "x" (x));
+ return (n);
+}
+#define HAVE_EFFICIENT_IRINT
+#endif
+
+#ifdef __i386__
+static __inline int
+irint(double x)
+{
+ int n;
+
+ asm("fistl %0" : "=m" (n) : "t" (x));
+ return (n);
+}
+#define HAVE_EFFICIENT_IRINT
+#endif
+
+#if defined(__amd64__) || defined(__i386__)
+static __inline int
+irintl(long double x)
+{
+ int n;
+
+ asm("fistl %0" : "=m" (n) : "t" (x));
+ return (n);
+}
+#define HAVE_EFFICIENT_IRINTL
+#endif
+
+#endif /* __GNUCLIKE_ASM */
+
+#ifdef DEBUG
+#if defined(__amd64__) || defined(__i386__)
+#define breakpoint() asm("int $3")
+#else
+#include <signal.h>
+
+#define breakpoint() raise(SIGTRAP)
+#endif
+#endif
+
+/* Write a pari script to test things externally. */
+#ifdef DOPRINT
+#include <stdio.h>
+
+#ifndef DOPRINT_SWIZZLE
+#define DOPRINT_SWIZZLE 0
+#endif
+
+#ifdef DOPRINT_LD80
+
+#define DOPRINT_START(xp) do { \
+ uint64_t __lx; \
+ uint16_t __hx; \
+ \
+ /* Hack to give more-problematic args. */ \
+ EXTRACT_LDBL80_WORDS(__hx, __lx, *xp); \
+ __lx ^= DOPRINT_SWIZZLE; \
+ INSERT_LDBL80_WORDS(*xp, __hx, __lx); \
+ printf("x = %.21Lg; ", (long double)*xp); \
+} while (0)
+#define DOPRINT_END1(v) \
+ printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
+#define DOPRINT_END2(hi, lo) \
+ printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
+ (long double)(hi), (long double)(lo))
+
+#elif defined(DOPRINT_D64)
+
+#define DOPRINT_START(xp) do { \
+ uint32_t __hx, __lx; \
+ \
+ EXTRACT_WORDS(__hx, __lx, *xp); \
+ __lx ^= DOPRINT_SWIZZLE; \
+ INSERT_WORDS(*xp, __hx, __lx); \
+ printf("x = %.21Lg; ", (long double)*xp); \
+} while (0)
+#define DOPRINT_END1(v) \
+ printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
+#define DOPRINT_END2(hi, lo) \
+ printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
+ (long double)(hi), (long double)(lo))
+
+#elif defined(DOPRINT_F32)
+
+#define DOPRINT_START(xp) do { \
+ uint32_t __hx; \
+ \
+ GET_FLOAT_WORD(__hx, *xp); \
+ __hx ^= DOPRINT_SWIZZLE; \
+ SET_FLOAT_WORD(*xp, __hx); \
+ printf("x = %.21Lg; ", (long double)*xp); \
+} while (0)
+#define DOPRINT_END1(v) \
+ printf("y = %.21Lg; z = 0; show(x, y, z);\n", (long double)(v))
+#define DOPRINT_END2(hi, lo) \
+ printf("y = %.21Lg; z = %.21Lg; show(x, y, z);\n", \
+ (long double)(hi), (long double)(lo))
+
+#else /* !DOPRINT_LD80 && !DOPRINT_D64 (LD128 only) */
+
+#ifndef DOPRINT_SWIZZLE_HIGH
+#define DOPRINT_SWIZZLE_HIGH 0
+#endif
+
+#define DOPRINT_START(xp) do { \
+ uint64_t __lx, __llx; \
+ uint16_t __hx; \
+ \
+ EXTRACT_LDBL128_WORDS(__hx, __lx, __llx, *xp); \
+ __llx ^= DOPRINT_SWIZZLE; \
+ __lx ^= DOPRINT_SWIZZLE_HIGH; \
+ INSERT_LDBL128_WORDS(*xp, __hx, __lx, __llx); \
+ printf("x = %.36Lg; ", (long double)*xp); \
+} while (0)
+#define DOPRINT_END1(v) \
+ printf("y = %.36Lg; z = 0; show(x, y, z);\n", (long double)(v))
+#define DOPRINT_END2(hi, lo) \
+ printf("y = %.36Lg; z = %.36Lg; show(x, y, z);\n", \
+ (long double)(hi), (long double)(lo))
+
+#endif /* DOPRINT_LD80 */
+
+#else /* !DOPRINT */
+#define DOPRINT_START(xp)
+#define DOPRINT_END1(v)
+#define DOPRINT_END2(hi, lo)
+#endif /* DOPRINT */
+
+#define RETURNP(x) do { \
+ DOPRINT_END1(x); \
+ RETURNF(x); \
+} while (0)
+#define RETURNPI(x) do { \
+ DOPRINT_END1(x); \
+ RETURNI(x); \
+} while (0)
+#define RETURN2P(x, y) do { \
+ DOPRINT_END2((x), (y)); \
+ RETURNF((x) + (y)); \
+} while (0)
+#define RETURN2PI(x, y) do { \
+ DOPRINT_END2((x), (y)); \
+ RETURNI((x) + (y)); \
+} while (0)
+#ifdef STRUCT_RETURN
+#define RETURNSP(rp) do { \
+ if (!(rp)->lo_set) \
+ RETURNP((rp)->hi); \
+ RETURN2P((rp)->hi, (rp)->lo); \
+} while (0)
+#define RETURNSPI(rp) do { \
+ if (!(rp)->lo_set) \
+ RETURNPI((rp)->hi); \
+ RETURN2PI((rp)->hi, (rp)->lo); \
+} while (0)
+#endif
+#define SUM2P(x, y) ({ \
+ const __typeof (x) __x = (x); \
+ const __typeof (y) __y = (y); \
+ \
+ DOPRINT_END2(__x, __y); \
+ __x + __y; \
+})
+
+/*
+ * ieee style elementary functions
+ *
+ * We rename functions here to improve other sources' diffability
+ * against fdlibm.
+ */
+#define __ieee754_sqrt sqrt
+#define __ieee754_acos acos
+#define __ieee754_acosh acosh
+#define __ieee754_log log
+#define __ieee754_log2 log2
+#define __ieee754_atanh atanh
+#define __ieee754_asin asin
+#define __ieee754_atan2 atan2
+#define __ieee754_exp exp
+#define __ieee754_cosh cosh
+#define __ieee754_fmod fmod
+#define __ieee754_pow pow
+#define __ieee754_lgamma lgamma
+#define __ieee754_gamma gamma
+#define __ieee754_lgamma_r lgamma_r
+#define __ieee754_gamma_r gamma_r
+#define __ieee754_log10 log10
+#define __ieee754_sinh sinh
+#define __ieee754_hypot hypot
+#define __ieee754_j0 j0
+#define __ieee754_j1 j1
+#define __ieee754_y0 y0
+#define __ieee754_y1 y1
+#define __ieee754_jn jn
+#define __ieee754_yn yn
+#define __ieee754_remainder remainder
+#define __ieee754_scalb scalb
+#define __ieee754_sqrtf sqrtf
+#define __ieee754_acosf acosf
+#define __ieee754_acoshf acoshf
+#define __ieee754_logf logf
+#define __ieee754_atanhf atanhf
+#define __ieee754_asinf asinf
+#define __ieee754_atan2f atan2f
+#define __ieee754_expf expf
+#define __ieee754_coshf coshf
+#define __ieee754_fmodf fmodf
+#define __ieee754_powf powf
+#define __ieee754_lgammaf lgammaf
+#define __ieee754_gammaf gammaf
+#define __ieee754_lgammaf_r lgammaf_r
+#define __ieee754_gammaf_r gammaf_r
+#define __ieee754_log10f log10f
+#define __ieee754_log2f log2f
+#define __ieee754_sinhf sinhf
+#define __ieee754_hypotf hypotf
+#define __ieee754_j0f j0f
+#define __ieee754_j1f j1f
+#define __ieee754_y0f y0f
+#define __ieee754_y1f y1f
+#define __ieee754_jnf jnf
+#define __ieee754_ynf ynf
+#define __ieee754_remainderf remainderf
+#define __ieee754_scalbf scalbf
+
+/* fdlibm kernel function */
+int __kernel_rem_pio2(double*,double*,int,int,int);
+
+/* double precision kernel functions */
+#ifndef INLINE_REM_PIO2
+int __ieee754_rem_pio2(double,double*);
+#endif
+double __kernel_sin(double,double,int);
+double __kernel_cos(double,double);
+double __kernel_tan(double,double,int);
+double __ldexp_exp(double,int);
+#ifdef _COMPLEX_H
+double complex __ldexp_cexp(double complex,int);
+#endif
+
+/* float precision kernel functions */
+#ifndef INLINE_REM_PIO2F
+int __ieee754_rem_pio2f(float,double*);
+#endif
+#ifndef INLINE_KERNEL_SINDF
+float __kernel_sindf(double);
+#endif
+#ifndef INLINE_KERNEL_COSDF
+float __kernel_cosdf(double);
+#endif
+#ifndef INLINE_KERNEL_TANDF
+float __kernel_tandf(double,int);
+#endif
+float __ldexp_expf(float,int);
+#ifdef _COMPLEX_H
+float complex __ldexp_cexpf(float complex,int);
+#endif
+
+/* long double precision kernel functions */
+long double __kernel_sinl(long double, long double, int);
+long double __kernel_cosl(long double, long double);
+long double __kernel_tanl(long double, long double, int);
+
+#endif /* !_MATH_PRIVATE_H_ */
diff --git a/libm/upstream-freebsd/lib/msun/src/s_asinh.c b/libm/upstream-freebsd/lib/msun/src/s_asinh.c
new file mode 100644
index 0000000..cbb3d46
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_asinh.c
@@ -0,0 +1,62 @@
+/* @(#)s_asinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* asinh(x)
+ * Method :
+ * Based on
+ * asinh(x) = sign(x) * log [ |x| + sqrt(x*x+1) ]
+ * we have
+ * asinh(x) := x if 1+x*x=1,
+ * := sign(x)*(log(x)+ln2)) for large |x|, else
+ * := sign(x)*log(2|x|+1/(|x|+sqrt(x*x+1))) if|x|>2, else
+ * := sign(x)*log1p(|x| + x^2/(1 + sqrt(1+x^2)))
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+ln2 = 6.93147180559945286227e-01, /* 0x3FE62E42, 0xFEFA39EF */
+huge= 1.00000000000000000000e+300;
+
+double
+asinh(double x)
+{
+ double t,w;
+ int32_t hx,ix;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) return x+x; /* x is inf or NaN */
+ if(ix< 0x3e300000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x41b00000) { /* |x| > 2**28 */
+ w = __ieee754_log(fabs(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabs(x);
+ w = __ieee754_log(2.0*t+one/(__ieee754_sqrt(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =log1p(fabs(x)+t/(one+__ieee754_sqrt(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(asinh, asinhl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_asinhf.c b/libm/upstream-freebsd/lib/msun/src/s_asinhf.c
new file mode 100644
index 0000000..c1620dd
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_asinhf.c
@@ -0,0 +1,48 @@
+/* s_asinhf.c -- float version of s_asinh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0000000000e+00, /* 0x3F800000 */
+ln2 = 6.9314718246e-01, /* 0x3f317218 */
+huge= 1.0000000000e+30;
+
+float
+asinhf(float x)
+{
+ float t,w;
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) return x+x; /* x is inf or NaN */
+ if(ix< 0x31800000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* return x inexact except 0 */
+ }
+ if(ix>0x4d800000) { /* |x| > 2**28 */
+ w = __ieee754_logf(fabsf(x))+ln2;
+ } else if (ix>0x40000000) { /* 2**28 > |x| > 2.0 */
+ t = fabsf(x);
+ w = __ieee754_logf((float)2.0*t+one/(__ieee754_sqrtf(x*x+one)+t));
+ } else { /* 2.0 > |x| > 2**-28 */
+ t = x*x;
+ w =log1pf(fabsf(x)+t/(one+__ieee754_sqrtf(one+t)));
+ }
+ if(hx>0) return w; else return -w;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_asinhl.c b/libm/upstream-freebsd/lib/msun/src/s_asinhl.c
new file mode 100644
index 0000000..ba28f59
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_asinhl.c
@@ -0,0 +1,91 @@
+/* from: FreeBSD: head/lib/msun/src/e_acosh.c 176451 2008-02-22 02:30:36Z das */
+
+/* @(#)s_asinh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See s_asinh.c for complete comments.
+ *
+ * Converted to long double by David Schultz <das@FreeBSD.ORG> and
+ * Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+/* EXP_LARGE is the threshold above which we use asinh(x) ~= log(2x). */
+/* EXP_TINY is the threshold below which we use asinh(x) ~= x. */
+#if LDBL_MANT_DIG == 64
+#define EXP_LARGE 34
+#define EXP_TINY -34
+#elif LDBL_MANT_DIG == 113
+#define EXP_LARGE 58
+#define EXP_TINY -58
+#else
+#error "Unsupported long double format"
+#endif
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const double
+one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
+huge= 1.00000000000000000000e+300;
+
+#if LDBL_MANT_DIG == 64
+static const union IEEEl2bits
+u_ln2 = LD80C(0xb17217f7d1cf79ac, -1, 6.93147180559945309417e-1L);
+#define ln2 u_ln2.e
+#elif LDBL_MANT_DIG == 113
+static const long double
+ln2 = 6.93147180559945309417232121458176568e-1L; /* 0x162e42fefa39ef35793c7673007e6.0p-113 */
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+asinhl(long double x)
+{
+ long double t, w;
+ uint16_t hx, ix;
+
+ ENTERI();
+ GET_LDBL_EXPSIGN(hx, x);
+ ix = hx & 0x7fff;
+ if (ix >= 0x7fff) RETURNI(x+x); /* x is inf, NaN or misnormal */
+ if (ix < BIAS + EXP_TINY) { /* |x| < TINY, or misnormal */
+ if (huge + x > one) RETURNI(x); /* return x inexact except 0 */
+ }
+ if (ix >= BIAS + EXP_LARGE) { /* |x| >= LARGE, or misnormal */
+ w = logl(fabsl(x))+ln2;
+ } else if (ix >= 0x4000) { /* LARGE > |x| >= 2.0, or misnormal */
+ t = fabsl(x);
+ w = logl(2.0*t+one/(sqrtl(x*x+one)+t));
+ } else { /* 2.0 > |x| >= TINY, or misnormal */
+ t = x*x;
+ w =log1pl(fabsl(x)+t/(one+sqrtl(one+t)));
+ }
+ RETURNI((hx & 0x8000) == 0 ? w : -w);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_atan.c b/libm/upstream-freebsd/lib/msun/src/s_atan.c
new file mode 100644
index 0000000..566f5dc
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_atan.c
@@ -0,0 +1,124 @@
+/* @(#)s_atan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* atan(x)
+ * Method
+ * 1. Reduce x to positive by atan(x) = -atan(-x).
+ * 2. According to the integer k=4t+0.25 chopped, t=x, the argument
+ * is further reduced to one of the following intervals and the
+ * arctangent of t is evaluated by the corresponding formula:
+ *
+ * [0,7/16] atan(x) = t-t^3*(a1+t^2*(a2+...(a10+t^2*a11)...)
+ * [7/16,11/16] atan(x) = atan(1/2) + atan( (t-0.5)/(1+t/2) )
+ * [11/16.19/16] atan(x) = atan( 1 ) + atan( (t-1)/(1+t) )
+ * [19/16,39/16] atan(x) = atan(3/2) + atan( (t-1.5)/(1+1.5t) )
+ * [39/16,INF] atan(x) = atan(INF) + atan( -1/t )
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double atanhi[] = {
+ 4.63647609000806093515e-01, /* atan(0.5)hi 0x3FDDAC67, 0x0561BB4F */
+ 7.85398163397448278999e-01, /* atan(1.0)hi 0x3FE921FB, 0x54442D18 */
+ 9.82793723247329054082e-01, /* atan(1.5)hi 0x3FEF730B, 0xD281F69B */
+ 1.57079632679489655800e+00, /* atan(inf)hi 0x3FF921FB, 0x54442D18 */
+};
+
+static const double atanlo[] = {
+ 2.26987774529616870924e-17, /* atan(0.5)lo 0x3C7A2B7F, 0x222F65E2 */
+ 3.06161699786838301793e-17, /* atan(1.0)lo 0x3C81A626, 0x33145C07 */
+ 1.39033110312309984516e-17, /* atan(1.5)lo 0x3C700788, 0x7AF0CBBD */
+ 6.12323399573676603587e-17, /* atan(inf)lo 0x3C91A626, 0x33145C07 */
+};
+
+static const double aT[] = {
+ 3.33333333333329318027e-01, /* 0x3FD55555, 0x5555550D */
+ -1.99999999998764832476e-01, /* 0xBFC99999, 0x9998EBC4 */
+ 1.42857142725034663711e-01, /* 0x3FC24924, 0x920083FF */
+ -1.11111104054623557880e-01, /* 0xBFBC71C6, 0xFE231671 */
+ 9.09088713343650656196e-02, /* 0x3FB745CD, 0xC54C206E */
+ -7.69187620504482999495e-02, /* 0xBFB3B0F2, 0xAF749A6D */
+ 6.66107313738753120669e-02, /* 0x3FB10D66, 0xA0D03D51 */
+ -5.83357013379057348645e-02, /* 0xBFADDE2D, 0x52DEFD9A */
+ 4.97687799461593236017e-02, /* 0x3FA97B4B, 0x24760DEB */
+ -3.65315727442169155270e-02, /* 0xBFA2B444, 0x2C6A6C2F */
+ 1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
+};
+
+ static const double
+one = 1.0,
+huge = 1.0e300;
+
+double
+atan(double x)
+{
+ double w,s1,s2,z;
+ int32_t ix,hx,id;
+
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x44100000) { /* if |x| >= 2^66 */
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(ix>0x7ff00000||
+ (ix==0x7ff00000&&(low!=0)))
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+*(volatile double *)&atanlo[3];
+ else return -atanhi[3]-*(volatile double *)&atanlo[3];
+ } if (ix < 0x3fdc0000) { /* |x| < 0.4375 */
+ if (ix < 0x3e400000) { /* |x| < 2^-27 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabs(x);
+ if (ix < 0x3ff30000) { /* |x| < 1.1875 */
+ if (ix < 0x3fe60000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = (2.0*x-one)/(2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x40038000) { /* |x| < 2.4375 */
+ id = 2; x = (x-1.5)/(one+1.5*x);
+ } else { /* 2.4375 <= |x| < 2^66 */
+ id = 3; x = -1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+ s1 = z*(aT[0]+w*(aT[2]+w*(aT[4]+w*(aT[6]+w*(aT[8]+w*aT[10])))));
+ s2 = w*(aT[1]+w*(aT[3]+w*(aT[5]+w*(aT[7]+w*aT[9]))));
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(atan, atanl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_atanf.c b/libm/upstream-freebsd/lib/msun/src/s_atanf.c
new file mode 100644
index 0000000..b3a371f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_atanf.c
@@ -0,0 +1,92 @@
+/* s_atanf.c -- float version of s_atan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float atanhi[] = {
+ 4.6364760399e-01, /* atan(0.5)hi 0x3eed6338 */
+ 7.8539812565e-01, /* atan(1.0)hi 0x3f490fda */
+ 9.8279368877e-01, /* atan(1.5)hi 0x3f7b985e */
+ 1.5707962513e+00, /* atan(inf)hi 0x3fc90fda */
+};
+
+static const float atanlo[] = {
+ 5.0121582440e-09, /* atan(0.5)lo 0x31ac3769 */
+ 3.7748947079e-08, /* atan(1.0)lo 0x33222168 */
+ 3.4473217170e-08, /* atan(1.5)lo 0x33140fb4 */
+ 7.5497894159e-08, /* atan(inf)lo 0x33a22168 */
+};
+
+static const float aT[] = {
+ 3.3333328366e-01,
+ -1.9999158382e-01,
+ 1.4253635705e-01,
+ -1.0648017377e-01,
+ 6.1687607318e-02,
+};
+
+static const float
+one = 1.0,
+huge = 1.0e30;
+
+float
+atanf(float x)
+{
+ float w,s1,s2,z;
+ int32_t ix,hx,id;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x4c800000) { /* if |x| >= 2**26 */
+ if(ix>0x7f800000)
+ return x+x; /* NaN */
+ if(hx>0) return atanhi[3]+*(volatile float *)&atanlo[3];
+ else return -atanhi[3]-*(volatile float *)&atanlo[3];
+ } if (ix < 0x3ee00000) { /* |x| < 0.4375 */
+ if (ix < 0x39800000) { /* |x| < 2**-12 */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabsf(x);
+ if (ix < 0x3f980000) { /* |x| < 1.1875 */
+ if (ix < 0x3f300000) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = ((float)2.0*x-one)/((float)2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (ix < 0x401c0000) { /* |x| < 2.4375 */
+ id = 2; x = (x-(float)1.5)/(one+(float)1.5*x);
+ } else { /* 2.4375 <= |x| < 2**26 */
+ id = 3; x = -(float)1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum from i=0 to 10 aT[i]z**(i+1) into odd and even poly */
+ s1 = z*(aT[0]+w*(aT[2]+w*aT[4]));
+ s2 = w*(aT[1]+w*aT[3]);
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (hx<0)? -z:z;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_atanl.c b/libm/upstream-freebsd/lib/msun/src/s_atanl.c
new file mode 100644
index 0000000..ff29c3c
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_atanl.c
@@ -0,0 +1,85 @@
+/* @(#)s_atan.c 5.1 93/09/24 */
+/* FreeBSD: head/lib/msun/src/s_atan.c 176451 2008-02-22 02:30:36Z das */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See comments in s_atan.c.
+ * Converted to long double by David Schultz <das@FreeBSD.ORG>.
+ */
+
+#include <float.h>
+
+#include "invtrig.h"
+#include "math.h"
+#include "math_private.h"
+
+static const long double
+one = 1.0,
+huge = 1.0e300;
+
+long double
+atanl(long double x)
+{
+ union IEEEl2bits u;
+ long double w,s1,s2,z;
+ int id;
+ int16_t expsign, expt;
+ int32_t expman;
+
+ u.e = x;
+ expsign = u.xbits.expsign;
+ expt = expsign & 0x7fff;
+ if(expt >= ATAN_CONST) { /* if |x| is large, atan(x)~=pi/2 */
+ if(expt == BIAS + LDBL_MAX_EXP &&
+ ((u.bits.manh&~LDBL_NBIT)|u.bits.manl)!=0)
+ return x+x; /* NaN */
+ if(expsign>0) return atanhi[3]+atanlo[3];
+ else return -atanhi[3]-atanlo[3];
+ }
+ /* Extract the exponent and the first few bits of the mantissa. */
+ /* XXX There should be a more convenient way to do this. */
+ expman = (expt << 8) | ((u.bits.manh >> (MANH_SIZE - 9)) & 0xff);
+ if (expman < ((BIAS - 2) << 8) + 0xc0) { /* |x| < 0.4375 */
+ if (expt < ATAN_LINEAR) { /* if |x| is small, atanl(x)~=x */
+ if(huge+x>one) return x; /* raise inexact */
+ }
+ id = -1;
+ } else {
+ x = fabsl(x);
+ if (expman < (BIAS << 8) + 0x30) { /* |x| < 1.1875 */
+ if (expman < ((BIAS - 1) << 8) + 0x60) { /* 7/16 <=|x|<11/16 */
+ id = 0; x = (2.0*x-one)/(2.0+x);
+ } else { /* 11/16<=|x|< 19/16 */
+ id = 1; x = (x-one)/(x+one);
+ }
+ } else {
+ if (expman < ((BIAS + 1) << 8) + 0x38) { /* |x| < 2.4375 */
+ id = 2; x = (x-1.5)/(one+1.5*x);
+ } else { /* 2.4375 <= |x| < 2^ATAN_CONST */
+ id = 3; x = -1.0/x;
+ }
+ }}
+ /* end of argument reduction */
+ z = x*x;
+ w = z*z;
+ /* break sum aT[i]z**(i+1) into odd and even poly */
+ s1 = z*T_even(w);
+ s2 = w*T_odd(w);
+ if (id<0) return x - x*(s1+s2);
+ else {
+ z = atanhi[id] - ((x*(s1+s2) - atanlo[id]) - x);
+ return (expsign<0)? -z:z;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_carg.c b/libm/upstream-freebsd/lib/msun/src/s_carg.c
new file mode 100644
index 0000000..ea1a0d7
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_carg.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <math.h>
+
+double
+carg(double complex z)
+{
+
+ return (atan2(cimag(z), creal(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cargf.c b/libm/upstream-freebsd/lib/msun/src/s_cargf.c
new file mode 100644
index 0000000..90232d0
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cargf.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <math.h>
+
+float
+cargf(float complex z)
+{
+
+ return (atan2f(cimagf(z), crealf(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cargl.c b/libm/upstream-freebsd/lib/msun/src/s_cargl.c
new file mode 100644
index 0000000..0555083
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cargl.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2005-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <math.h>
+
+long double
+cargl(long double complex z)
+{
+
+ return (atan2l(cimagl(z), creall(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cbrt.c b/libm/upstream-freebsd/lib/msun/src/s_cbrt.c
new file mode 100644
index 0000000..910f75b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cbrt.c
@@ -0,0 +1,117 @@
+/* @(#)s_cbrt.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * Optimized by Bruce D. Evans.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrt(x)
+ * Return cube root of x
+ */
+static const u_int32_t
+ B1 = 715094163, /* B1 = (1023-1023/3-0.03306235651)*2**20 */
+ B2 = 696219795; /* B2 = (1023-1023/3-54/3-0.03306235651)*2**20 */
+
+/* |1/cbrt(x) - p(x)| < 2**-23.5 (~[-7.93e-8, 7.929e-8]). */
+static const double
+P0 = 1.87595182427177009643, /* 0x3ffe03e6, 0x0f61e692 */
+P1 = -1.88497979543377169875, /* 0xbffe28e0, 0x92f02420 */
+P2 = 1.621429720105354466140, /* 0x3ff9f160, 0x4a49d6c2 */
+P3 = -0.758397934778766047437, /* 0xbfe844cb, 0xbee751d9 */
+P4 = 0.145996192886612446982; /* 0x3fc2b000, 0xd4e4edd7 */
+
+double
+cbrt(double x)
+{
+ int32_t hx;
+ union {
+ double value;
+ uint64_t bits;
+ } u;
+ double r,s,t=0.0,w;
+ u_int32_t sign;
+ u_int32_t high,low;
+
+ EXTRACT_WORDS(hx,low,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7ff00000) return(x+x); /* cbrt(NaN,INF) is itself */
+
+ /*
+ * Rough cbrt to 5 bits:
+ * cbrt(2**e*(1+m) ~= 2**(e/3)*(1+(e%3+m)/3)
+ * where e is integral and >= 0, m is real and in [0, 1), and "/" and
+ * "%" are integer division and modulus with rounding towards minus
+ * infinity. The RHS is always >= the LHS and has a maximum relative
+ * error of about 1 in 16. Adding a bias of -0.03306235651 to the
+ * (e%3+m)/3 term reduces the error to about 1 in 32. With the IEEE
+ * floating point representation, for finite positive normal values,
+ * ordinary integer divison of the value in bits magically gives
+ * almost exactly the RHS of the above provided we first subtract the
+ * exponent bias (1023 for doubles) and later add it back. We do the
+ * subtraction virtually to keep e >= 0 so that ordinary integer
+ * division rounds towards minus infinity; this is also efficient.
+ */
+ if(hx<0x00100000) { /* zero or subnormal? */
+ if((hx|low)==0)
+ return(x); /* cbrt(0) is itself */
+ SET_HIGH_WORD(t,0x43500000); /* set t= 2**54 */
+ t*=x;
+ GET_HIGH_WORD(high,t);
+ INSERT_WORDS(t,sign|((high&0x7fffffff)/3+B2),0);
+ } else
+ INSERT_WORDS(t,sign|(hx/3+B1),0);
+
+ /*
+ * New cbrt to 23 bits:
+ * cbrt(x) = t*cbrt(x/t**3) ~= t*P(t**3/x)
+ * where P(r) is a polynomial of degree 4 that approximates 1/cbrt(r)
+ * to within 2**-23.5 when |r - 1| < 1/10. The rough approximation
+ * has produced t such than |t/cbrt(x) - 1| ~< 1/32, and cubing this
+ * gives us bounds for r = t**3/x.
+ *
+ * Try to optimize for parallel evaluation as in k_tanf.c.
+ */
+ r=(t*t)*(t/x);
+ t=t*((P0+r*(P1+r*P2))+((r*r)*r)*(P3+r*P4));
+
+ /*
+ * Round t away from zero to 23 bits (sloppily except for ensuring that
+ * the result is larger in magnitude than cbrt(x) but not much more than
+ * 2 23-bit ulps larger). With rounding towards zero, the error bound
+ * would be ~5/6 instead of ~4/6. With a maximum error of 2 23-bit ulps
+ * in the rounded t, the infinite-precision error in the Newton
+ * approximation barely affects third digit in the final error
+ * 0.667; the error in the rounded t can be up to about 3 23-bit ulps
+ * before the final error is larger than 0.667 ulps.
+ */
+ u.value=t;
+ u.bits=(u.bits+0x80000000)&0xffffffffc0000000ULL;
+ t=u.value;
+
+ /* one step Newton iteration to 53 bits with error < 0.667 ulps */
+ s=t*t; /* t*t is exact */
+ r=x/s; /* error <= 0.5 ulps; |r| < |t| */
+ w=t+t; /* t+t is exact */
+ r=(r-t)/(w+r); /* r-t is exact; w+r ~= 3*t */
+ t=t+t*r; /* error <= 0.5 + 0.5/3 + epsilon */
+
+ return(t);
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(cbrt, cbrtl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cbrtf.c b/libm/upstream-freebsd/lib/msun/src/s_cbrtf.c
new file mode 100644
index 0000000..454f974
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cbrtf.c
@@ -0,0 +1,73 @@
+/* s_cbrtf.c -- float version of s_cbrt.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Debugged and optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+/* cbrtf(x)
+ * Return cube root of x
+ */
+static const unsigned
+ B1 = 709958130, /* B1 = (127-127.0/3-0.03306235651)*2**23 */
+ B2 = 642849266; /* B2 = (127-127.0/3-24/3-0.03306235651)*2**23 */
+
+float
+cbrtf(float x)
+{
+ double r,T;
+ float t;
+ int32_t hx;
+ u_int32_t sign;
+ u_int32_t high;
+
+ GET_FLOAT_WORD(hx,x);
+ sign=hx&0x80000000; /* sign= sign(x) */
+ hx ^=sign;
+ if(hx>=0x7f800000) return(x+x); /* cbrt(NaN,INF) is itself */
+
+ /* rough cbrt to 5 bits */
+ if(hx<0x00800000) { /* zero or subnormal? */
+ if(hx==0)
+ return(x); /* cbrt(+-0) is itself */
+ SET_FLOAT_WORD(t,0x4b800000); /* set t= 2**24 */
+ t*=x;
+ GET_FLOAT_WORD(high,t);
+ SET_FLOAT_WORD(t,sign|((high&0x7fffffff)/3+B2));
+ } else
+ SET_FLOAT_WORD(t,sign|(hx/3+B1));
+
+ /*
+ * First step Newton iteration (solving t*t-x/t == 0) to 16 bits. In
+ * double precision so that its terms can be arranged for efficiency
+ * without causing overflow or underflow.
+ */
+ T=t;
+ r=T*T*T;
+ T=T*((double)x+x+r)/(x+r+r);
+
+ /*
+ * Second step Newton iteration to 47 bits. In double precision for
+ * efficiency and accuracy.
+ */
+ r=T*T*T;
+ T=T*((double)x+x+r)/(x+r+r);
+
+ /* rounding to 24 bits is perfect in round-to-nearest mode */
+ return(T);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cbrtl.c b/libm/upstream-freebsd/lib/msun/src/s_cbrtl.c
new file mode 100644
index 0000000..2236c0f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cbrtl.c
@@ -0,0 +1,143 @@
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ * Copyright (c) 2009-2011, Bruce D. Evans, Steven G. Kargl, David Schultz.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * The argument reduction and testing for exceptional cases was
+ * written by Steven G. Kargl with input from Bruce D. Evans
+ * and David A. Schultz.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const unsigned
+ B1 = 709958130; /* B1 = (127-127.0/3-0.03306235651)*2**23 */
+
+long double
+cbrtl(long double x)
+{
+ union IEEEl2bits u, v;
+ long double r, s, t, w;
+ double dr, dt, dx;
+ float ft, fx;
+ uint32_t hx;
+ uint16_t expsign;
+ int k;
+
+ u.e = x;
+ expsign = u.xbits.expsign;
+ k = expsign & 0x7fff;
+
+ /*
+ * If x = +-Inf, then cbrt(x) = +-Inf.
+ * If x = NaN, then cbrt(x) = NaN.
+ */
+ if (k == BIAS + LDBL_MAX_EXP)
+ return (x + x);
+
+ ENTERI();
+ if (k == 0) {
+ /* If x = +-0, then cbrt(x) = +-0. */
+ if ((u.bits.manh | u.bits.manl) == 0)
+ RETURNI(x);
+ /* Adjust subnormal numbers. */
+ u.e *= 0x1.0p514;
+ k = u.bits.exp;
+ k -= BIAS + 514;
+ } else
+ k -= BIAS;
+ u.xbits.expsign = BIAS;
+ v.e = 1;
+
+ x = u.e;
+ switch (k % 3) {
+ case 1:
+ case -2:
+ x = 2*x;
+ k--;
+ break;
+ case 2:
+ case -1:
+ x = 4*x;
+ k -= 2;
+ break;
+ }
+ v.xbits.expsign = (expsign & 0x8000) | (BIAS + k / 3);
+
+ /*
+ * The following is the guts of s_cbrtf, with the handling of
+ * special values removed and extra care for accuracy not taken,
+ * but with most of the extra accuracy not discarded.
+ */
+
+ /* ~5-bit estimate: */
+ fx = x;
+ GET_FLOAT_WORD(hx, fx);
+ SET_FLOAT_WORD(ft, ((hx & 0x7fffffff) / 3 + B1));
+
+ /* ~16-bit estimate: */
+ dx = x;
+ dt = ft;
+ dr = dt * dt * dt;
+ dt = dt * (dx + dx + dr) / (dx + dr + dr);
+
+ /* ~47-bit estimate: */
+ dr = dt * dt * dt;
+ dt = dt * (dx + dx + dr) / (dx + dr + dr);
+
+#if LDBL_MANT_DIG == 64
+ /*
+ * dt is cbrtl(x) to ~47 bits (after x has been reduced to 1 <= x < 8).
+ * Round it away from zero to 32 bits (32 so that t*t is exact, and
+ * away from zero for technical reasons).
+ */
+ volatile double vd2 = 0x1.0p32;
+ volatile double vd1 = 0x1.0p-31;
+ #define vd ((long double)vd2 + vd1)
+
+ t = dt + vd - 0x1.0p32;
+#elif LDBL_MANT_DIG == 113
+ /*
+ * Round dt away from zero to 47 bits. Since we don't trust the 47,
+ * add 2 47-bit ulps instead of 1 to round up. Rounding is slow and
+ * might be avoidable in this case, since on most machines dt will
+ * have been evaluated in 53-bit precision and the technical reasons
+ * for rounding up might not apply to either case in cbrtl() since
+ * dt is much more accurate than needed.
+ */
+ t = dt + 0x2.0p-46 + 0x1.0p60L - 0x1.0p60;
+#else
+#error "Unsupported long double format"
+#endif
+
+ /*
+ * Final step Newton iteration to 64 or 113 bits with
+ * error < 0.667 ulps
+ */
+ s=t*t; /* t*t is exact */
+ r=x/s; /* error <= 0.5 ulps; |r| < |t| */
+ w=t+t; /* t+t is exact */
+ r=(r-t)/(w+r); /* r-t is exact; w+r ~= 3*t */
+ t=t+t*r; /* error <= 0.5 + 0.5/3 + epsilon */
+
+ t *= v.e;
+ RETURNI(t);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ccosh.c b/libm/upstream-freebsd/lib/msun/src/s_ccosh.c
new file mode 100644
index 0000000..e544e91
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ccosh.c
@@ -0,0 +1,156 @@
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Hyperbolic cosine of a complex argument z = x + i y.
+ *
+ * cosh(z) = cosh(x+iy)
+ * = cosh(x) cos(y) + i sinh(x) sin(y).
+ *
+ * Exceptional values are noted in the comments within the source code.
+ * These values and the return value were taken from n1124.pdf.
+ * The sign of the result for some exceptional values is unspecified but
+ * must satisfy both cosh(conj(z)) == conj(cosh(z)) and cosh(-z) == cosh(z).
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_ccosh.c 284423 2015-06-15 20:11:06Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const double huge = 0x1p1023;
+
+double complex
+ccosh(double complex z)
+{
+ double x, y, h;
+ int32_t hx, hy, ix, iy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hy, ly, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ /* Handle the nearly-non-exceptional cases where x and y are finite. */
+ if (ix < 0x7ff00000 && iy < 0x7ff00000) {
+ if ((iy | ly) == 0)
+ return (CMPLX(cosh(x), x * y));
+ if (ix < 0x40360000) /* |x| < 22: normal case */
+ return (CMPLX(cosh(x) * cos(y), sinh(x) * sin(y)));
+
+ /* |x| >= 22, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x40862e42) {
+ /* x < 710: exp(|x|) won't overflow */
+ h = exp(fabs(x)) * 0.5;
+ return (CMPLX(h * cos(y), copysign(h, x) * sin(y)));
+ } else if (ix < 0x4096bbaa) {
+ /* x < 1455: scale to avoid overflow */
+ z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
+ return (CMPLX(creal(z), cimag(z) * copysign(1, x)));
+ } else {
+ /* x >= 1455: the result always overflows */
+ h = huge * x;
+ return (CMPLX(h * h * cos(y), h * sin(y)));
+ }
+ }
+
+ /*
+ * cosh(+-0 +- I Inf) = dNaN + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument. Raise the invalid floating-point
+ * exception.
+ *
+ * cosh(+-0 +- I NaN) = d(NaN) + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument.
+ */
+ if ((ix | lx) == 0) /* && iy >= 0x7ff00000 */
+ return (CMPLX(y - y, x * copysign(0, y)));
+
+ /*
+ * cosh(+-Inf +- I 0) = +Inf + I (+-)(+-)0.
+ *
+ * cosh(NaN +- I 0) = d(NaN) + I (+-)(+-)0.
+ * The sign of 0 in the result is unspecified. Choice = product
+ * of the signs of the argument.
+ */
+ if ((iy | ly) == 0) /* && ix >= 0x7ff00000 */
+ return (CMPLX(x * x, copysign(0, x) * y));
+
+ /*
+ * cosh(x +- I Inf) = dNaN + I dNaN.
+ * Raise the invalid floating-point exception for finite nonzero x.
+ *
+ * cosh(x + I NaN) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero x. Choice = don't raise (except for signaling NaNs).
+ */
+ if (ix < 0x7ff00000) /* && iy >= 0x7ff00000 */
+ return (CMPLX(y - y, x * (y - y)));
+
+ /*
+ * cosh(+-Inf + I NaN) = +Inf + I d(NaN).
+ *
+ * cosh(+-Inf +- I Inf) = +Inf + I dNaN.
+ * The sign of Inf in the result is unspecified. Choice = always +.
+ * Raise the invalid floating-point exception.
+ *
+ * cosh(+-Inf + I y) = +Inf cos(y) +- I Inf sin(y)
+ */
+ if (ix == 0x7ff00000 && lx == 0) {
+ if (iy >= 0x7ff00000)
+ return (CMPLX(INFINITY, x * (y - y)));
+ return (CMPLX(INFINITY * cos(y), x * sin(y)));
+ }
+
+ /*
+ * cosh(NaN + I NaN) = d(NaN) + I d(NaN).
+ *
+ * cosh(NaN +- I Inf) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception.
+ * Choice = raise.
+ *
+ * cosh(NaN + I y) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero y. Choice = don't raise (except for signaling NaNs).
+ */
+ return (CMPLX((x * x) * (y - y), (x + x) * (y - y)));
+}
+
+double complex
+ccos(double complex z)
+{
+
+ /* ccos(z) = ccosh(I * z) */
+ return (ccosh(CMPLX(-cimag(z), creal(z))));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ccoshf.c b/libm/upstream-freebsd/lib/msun/src/s_ccoshf.c
new file mode 100644
index 0000000..e33840a
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ccoshf.c
@@ -0,0 +1,101 @@
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Float version of ccosh(). See s_ccosh.c for details.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_ccoshf.c 284423 2015-06-15 20:11:06Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const float huge = 0x1p127;
+
+float complex
+ccoshf(float complex z)
+{
+ float x, y, h;
+ int32_t hx, hy, ix, iy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ GET_FLOAT_WORD(hy, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ if (ix < 0x7f800000 && iy < 0x7f800000) {
+ if (iy == 0)
+ return (CMPLXF(coshf(x), x * y));
+ if (ix < 0x41100000) /* |x| < 9: normal case */
+ return (CMPLXF(coshf(x) * cosf(y), sinhf(x) * sinf(y)));
+
+ /* |x| >= 9, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x42b17218) {
+ /* x < 88.7: expf(|x|) won't overflow */
+ h = expf(fabsf(x)) * 0.5F;
+ return (CMPLXF(h * cosf(y), copysignf(h, x) * sinf(y)));
+ } else if (ix < 0x4340b1e7) {
+ /* x < 192.7: scale to avoid overflow */
+ z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
+ return (CMPLXF(crealf(z), cimagf(z) * copysignf(1, x)));
+ } else {
+ /* x >= 192.7: the result always overflows */
+ h = huge * x;
+ return (CMPLXF(h * h * cosf(y), h * sinf(y)));
+ }
+ }
+
+ if (ix == 0) /* && iy >= 0x7f800000 */
+ return (CMPLXF(y - y, x * copysignf(0, y)));
+
+ if (iy == 0) /* && ix >= 0x7f800000 */
+ return (CMPLXF(x * x, copysignf(0, x) * y));
+
+ if (ix < 0x7f800000) /* && iy >= 0x7f800000 */
+ return (CMPLXF(y - y, x * (y - y)));
+
+ if (ix == 0x7f800000) {
+ if (iy >= 0x7f800000)
+ return (CMPLXF(INFINITY, x * (y - y)));
+ return (CMPLXF(INFINITY * cosf(y), x * sinf(y)));
+ }
+
+ return (CMPLXF((x * x) * (y - y), (x + x) * (y - y)));
+}
+
+float complex
+ccosf(float complex z)
+{
+
+ return (ccoshf(CMPLXF(-cimagf(z), crealf(z))));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ceil.c b/libm/upstream-freebsd/lib/msun/src/s_ceil.c
new file mode 100644
index 0000000..929f813
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ceil.c
@@ -0,0 +1,77 @@
+/* @(#)s_ceil.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ceil(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceil(x).
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double huge = 1.0e300;
+
+double
+ceil(double x)
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;i1=0;}
+ else if((i0|i1)!=0) { i0=0x3ff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0>0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1 + (1<<(52-j0));
+ if(j<i1) i0+=1; /* got a carry */
+ i1 = j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(ceil, ceill);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ceilf.c b/libm/upstream-freebsd/lib/msun/src/s_ceilf.c
new file mode 100644
index 0000000..23bfe04
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ceilf.c
@@ -0,0 +1,52 @@
+/* s_ceilf.c -- float version of s_ceil.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float huge = 1.0e30;
+
+float
+ceilf(float x)
+{
+ int32_t i0,j0;
+ u_int32_t i;
+
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0<0) {i0=0x80000000;}
+ else if(i0!=0) { i0=0x3f800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0>0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ceill.c b/libm/upstream-freebsd/lib/msun/src/s_ceill.c
new file mode 100644
index 0000000..2d1045f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ceill.c
@@ -0,0 +1,101 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * From: @(#)s_ceil.c 5.1 93/09/24
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * ceill(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to ceill(x).
+ */
+
+#include <float.h>
+#include <math.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+
+#ifdef LDBL_IMPLICIT_NBIT
+#define MANH_SIZE (LDBL_MANH_SIZE + 1)
+#define INC_MANH(u, c) do { \
+ uint64_t o = u.bits.manh; \
+ u.bits.manh += (c); \
+ if (u.bits.manh < o) \
+ u.bits.exp++; \
+} while (0)
+#else
+#define MANH_SIZE LDBL_MANH_SIZE
+#define INC_MANH(u, c) do { \
+ uint64_t o = u.bits.manh; \
+ u.bits.manh += (c); \
+ if (u.bits.manh < o) { \
+ u.bits.exp++; \
+ u.bits.manh |= 1llu << (LDBL_MANH_SIZE - 1); \
+ } \
+} while (0)
+#endif
+
+static const long double huge = 1.0e300;
+
+long double
+ceill(long double x)
+{
+ union IEEEl2bits u = { .e = x };
+ int e = u.bits.exp - LDBL_MAX_EXP + 1;
+
+ if (e < MANH_SIZE - 1) {
+ if (e < 0) { /* raise inexact if x != 0 */
+ if (huge + x > 0.0)
+ if (u.bits.exp > 0 ||
+ (u.bits.manh | u.bits.manl) != 0)
+ u.e = u.bits.sign ? -0.0 : 1.0;
+ } else {
+ uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1);
+ if (((u.bits.manh & m) | u.bits.manl) == 0)
+ return (x); /* x is integral */
+ if (!u.bits.sign) {
+#ifdef LDBL_IMPLICIT_NBIT
+ if (e == 0)
+ u.bits.exp++;
+ else
+#endif
+ INC_MANH(u, 1llu << (MANH_SIZE - e - 1));
+ }
+ if (huge + x > 0.0) { /* raise inexact flag */
+ u.bits.manh &= ~m;
+ u.bits.manl = 0;
+ }
+ }
+ } else if (e < LDBL_MANT_DIG - 1) {
+ uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1);
+ if ((u.bits.manl & m) == 0)
+ return (x); /* x is integral */
+ if (!u.bits.sign) {
+ if (e == MANH_SIZE - 1)
+ INC_MANH(u, 1);
+ else {
+ uint64_t o = u.bits.manl;
+ u.bits.manl += 1llu << (LDBL_MANT_DIG - e - 1);
+ if (u.bits.manl < o) /* got a carry */
+ INC_MANH(u, 1);
+ }
+ }
+ if (huge + x > 0.0) /* raise inexact flag */
+ u.bits.manl &= ~m;
+ }
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cexp.c b/libm/upstream-freebsd/lib/msun/src/s_cexp.c
new file mode 100644
index 0000000..660a68d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cexp.c
@@ -0,0 +1,89 @@
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_cexp.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const uint32_t
+exp_ovfl = 0x40862e42, /* high bits of MAX_EXP * ln2 ~= 710 */
+cexp_ovfl = 0x4096b8e4; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
+
+double complex
+cexp(double complex z)
+{
+ double x, y, exp_x;
+ uint32_t hx, hy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hy, ly, y);
+ hy &= 0x7fffffff;
+
+ /* cexp(x + I 0) = exp(x) + I 0 */
+ if ((hy | ly) == 0)
+ return (CMPLX(exp(x), y));
+ EXTRACT_WORDS(hx, lx, x);
+ /* cexp(0 + I y) = cos(y) + I sin(y) */
+ if (((hx & 0x7fffffff) | lx) == 0)
+ return (CMPLX(cos(y), sin(y)));
+
+ if (hy >= 0x7ff00000) {
+ if (lx != 0 || (hx & 0x7fffffff) != 0x7ff00000) {
+ /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
+ return (CMPLX(y - y, y - y));
+ } else if (hx & 0x80000000) {
+ /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
+ return (CMPLX(0.0, 0.0));
+ } else {
+ /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
+ return (CMPLX(x, y - y));
+ }
+ }
+
+ if (hx >= exp_ovfl && hx <= cexp_ovfl) {
+ /*
+ * x is between 709.7 and 1454.3, so we must scale to avoid
+ * overflow in exp(x).
+ */
+ return (__ldexp_cexp(z, 0));
+ } else {
+ /*
+ * Cases covered here:
+ * - x < exp_ovfl and exp(x) won't overflow (common case)
+ * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
+ * - x = +-Inf (generated by exp())
+ * - x = NaN (spurious inexact exception from y)
+ */
+ exp_x = exp(x);
+ return (CMPLX(exp_x * cos(y), exp_x * sin(y)));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cexpf.c b/libm/upstream-freebsd/lib/msun/src/s_cexpf.c
new file mode 100644
index 0000000..709ad47
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cexpf.c
@@ -0,0 +1,89 @@
+/*-
+ * Copyright (c) 2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_cexpf.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const uint32_t
+exp_ovfl = 0x42b17218, /* MAX_EXP * ln2 ~= 88.722839355 */
+cexp_ovfl = 0x43400074; /* (MAX_EXP - MIN_DENORM_EXP) * ln2 */
+
+float complex
+cexpf(float complex z)
+{
+ float x, y, exp_x;
+ uint32_t hx, hy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hy, y);
+ hy &= 0x7fffffff;
+
+ /* cexp(x + I 0) = exp(x) + I 0 */
+ if (hy == 0)
+ return (CMPLXF(expf(x), y));
+ GET_FLOAT_WORD(hx, x);
+ /* cexp(0 + I y) = cos(y) + I sin(y) */
+ if ((hx & 0x7fffffff) == 0)
+ return (CMPLXF(cosf(y), sinf(y)));
+
+ if (hy >= 0x7f800000) {
+ if ((hx & 0x7fffffff) != 0x7f800000) {
+ /* cexp(finite|NaN +- I Inf|NaN) = NaN + I NaN */
+ return (CMPLXF(y - y, y - y));
+ } else if (hx & 0x80000000) {
+ /* cexp(-Inf +- I Inf|NaN) = 0 + I 0 */
+ return (CMPLXF(0.0, 0.0));
+ } else {
+ /* cexp(+Inf +- I Inf|NaN) = Inf + I NaN */
+ return (CMPLXF(x, y - y));
+ }
+ }
+
+ if (hx >= exp_ovfl && hx <= cexp_ovfl) {
+ /*
+ * x is between 88.7 and 192, so we must scale to avoid
+ * overflow in expf(x).
+ */
+ return (__ldexp_cexpf(z, 0));
+ } else {
+ /*
+ * Cases covered here:
+ * - x < exp_ovfl and exp(x) won't overflow (common case)
+ * - x > cexp_ovfl, so exp(x) * s overflows for all s > 0
+ * - x = +-Inf (generated by exp())
+ * - x = NaN (spurious inexact exception from y)
+ */
+ exp_x = expf(x);
+ return (CMPLXF(exp_x * cosf(y), exp_x * sinf(y)));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cimag.c b/libm/upstream-freebsd/lib/msun/src/s_cimag.c
new file mode 100644
index 0000000..cbf6720
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cimag.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+#include "math_private.h"
+
+double
+cimag(double complex z)
+{
+ const double_complex z1 = { .f = z };
+
+ return (IMAGPART(z1));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cimagf.c b/libm/upstream-freebsd/lib/msun/src/s_cimagf.c
new file mode 100644
index 0000000..4e483a2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cimagf.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+#include "math_private.h"
+
+float
+cimagf(float complex z)
+{
+ const float_complex z1 = { .f = z };
+
+ return (IMAGPART(z1));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cimagl.c b/libm/upstream-freebsd/lib/msun/src/s_cimagl.c
new file mode 100644
index 0000000..c50e967
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cimagl.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+#include "math_private.h"
+
+long double
+cimagl(long double complex z)
+{
+ const long_double_complex z1 = { .f = z };
+
+ return (IMAGPART(z1));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_conj.c b/libm/upstream-freebsd/lib/msun/src/s_conj.c
new file mode 100644
index 0000000..61fac63
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_conj.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: head/lib/msun/src/s_conj.c 275819 2014-12-16 09:21:56Z ed $
+ */
+
+#include <complex.h>
+
+#include "math_private.h"
+
+double complex
+conj(double complex z)
+{
+
+ return (CMPLX(creal(z), -cimag(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_conjf.c b/libm/upstream-freebsd/lib/msun/src/s_conjf.c
new file mode 100644
index 0000000..83c9ef0
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_conjf.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: head/lib/msun/src/s_conjf.c 275819 2014-12-16 09:21:56Z ed $
+ */
+
+#include <complex.h>
+
+#include "math_private.h"
+
+float complex
+conjf(float complex z)
+{
+
+ return (CMPLXF(crealf(z), -cimagf(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_conjl.c b/libm/upstream-freebsd/lib/msun/src/s_conjl.c
new file mode 100644
index 0000000..d9e6a16
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_conjl.c
@@ -0,0 +1,38 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD: head/lib/msun/src/s_conjl.c 275819 2014-12-16 09:21:56Z ed $
+ */
+
+#include <complex.h>
+
+#include "math_private.h"
+
+long double complex
+conjl(long double complex z)
+{
+
+ return (CMPLXL(creall(z), -cimagl(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysign.c b/libm/upstream-freebsd/lib/msun/src/s_copysign.c
new file mode 100644
index 0000000..a5f3870
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_copysign.c
@@ -0,0 +1,33 @@
+/* @(#)s_copysign.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * copysign(double x, double y)
+ * copysign(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+double
+copysign(double x, double y)
+{
+ u_int32_t hx,hy;
+ GET_HIGH_WORD(hx,x);
+ GET_HIGH_WORD(hy,y);
+ SET_HIGH_WORD(x,(hx&0x7fffffff)|(hy&0x80000000));
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysignf.c b/libm/upstream-freebsd/lib/msun/src/s_copysignf.c
new file mode 100644
index 0000000..05ca1e3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_copysignf.c
@@ -0,0 +1,36 @@
+/* s_copysignf.c -- float version of s_copysign.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * copysignf(float x, float y)
+ * copysignf(x,y) returns a value with the magnitude of x and
+ * with the sign bit of y.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+copysignf(float x, float y)
+{
+ u_int32_t ix,iy;
+ GET_FLOAT_WORD(ix,x);
+ GET_FLOAT_WORD(iy,y);
+ SET_FLOAT_WORD(x,(ix&0x7fffffff)|(iy&0x80000000));
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_copysignl.c b/libm/upstream-freebsd/lib/msun/src/s_copysignl.c
new file mode 100644
index 0000000..8d39f84
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_copysignl.c
@@ -0,0 +1,42 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+copysignl(long double x, long double y)
+{
+ union IEEEl2bits ux, uy;
+
+ ux.e = x;
+ uy.e = y;
+ ux.bits.sign = uy.bits.sign;
+ return (ux.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cos.c b/libm/upstream-freebsd/lib/msun/src/s_cos.c
new file mode 100644
index 0000000..29804f4
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cos.c
@@ -0,0 +1,89 @@
+/* @(#)s_cos.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* cos(x)
+ * Return cosine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cosine function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_REM_PIO2
+#include "math_private.h"
+#include "e_rem_pio2.c"
+
+double
+cos(double x)
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) {
+ if(ix<0x3e46a09e) /* if x < 2**-27 * sqrt(2) */
+ if(((int)x)==0) return 1.0; /* generate inexact */
+ return __kernel_cos(x,z);
+ }
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_cos(y[0],y[1]);
+ case 1: return -__kernel_sin(y[0],y[1],1);
+ case 2: return -__kernel_cos(y[0],y[1]);
+ default:
+ return __kernel_sin(y[0],y[1],1);
+ }
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(cos, cosl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cosf.c b/libm/upstream-freebsd/lib/msun/src/s_cosf.c
new file mode 100644
index 0000000..b701fd2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cosf.c
@@ -0,0 +1,87 @@
+/* s_cosf.c -- float version of s_cos.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_KERNEL_COSDF
+#define INLINE_KERNEL_SINDF
+#define INLINE_REM_PIO2F
+#include "math_private.h"
+#include "e_rem_pio2f.c"
+#include "k_cosf.c"
+#include "k_sinf.c"
+
+/* Small multiples of pi/2 rounded to double precision. */
+static const double
+c1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
+c2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
+c3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
+c4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
+
+float
+cosf(float x)
+{
+ double y;
+ int32_t n, hx, ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx & 0x7fffffff;
+
+ if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
+ if(ix<0x39800000) /* |x| < 2**-12 */
+ if(((int)x)==0) return 1.0; /* 1 with inexact if x != 0 */
+ return __kernel_cosdf(x);
+ }
+ if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */
+ if(ix>0x4016cbe3) /* |x| ~> 3*pi/4 */
+ return -__kernel_cosdf(x + (hx > 0 ? -c2pio2 : c2pio2));
+ else {
+ if(hx>0)
+ return __kernel_sindf(c1pio2 - x);
+ else
+ return __kernel_sindf(x + c1pio2);
+ }
+ }
+ if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */
+ if(ix>0x40afeddf) /* |x| ~> 7*pi/4 */
+ return __kernel_cosdf(x + (hx > 0 ? -c4pio2 : c4pio2));
+ else {
+ if(hx>0)
+ return __kernel_sindf(x - c3pio2);
+ else
+ return __kernel_sindf(-c3pio2 - x);
+ }
+ }
+
+ /* cos(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* general argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,&y);
+ switch(n&3) {
+ case 0: return __kernel_cosdf(y);
+ case 1: return __kernel_sindf(-y);
+ case 2: return -__kernel_cosdf(y);
+ default:
+ return __kernel_sindf(y);
+ }
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cosl.c b/libm/upstream-freebsd/lib/msun/src/s_cosl.c
new file mode 100644
index 0000000..22e74cf
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cosl.c
@@ -0,0 +1,95 @@
+/*-
+ * Copyright (c) 2007 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Limited testing on pseudorandom numbers drawn within [-2e8:4e8] shows
+ * an accuracy of <= 0.7412 ULP.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#if LDBL_MANT_DIG == 64
+#include "../ld80/e_rem_pio2l.h"
+#elif LDBL_MANT_DIG == 113
+#include "../ld128/e_rem_pio2l.h"
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+cosl(long double x)
+{
+ union IEEEl2bits z;
+ int e0;
+ long double y[2];
+ long double hi, lo;
+
+ z.e = x;
+ z.bits.sign = 0;
+
+ /* If x = +-0 or x is a subnormal number, then cos(x) = 1 */
+ if (z.bits.exp == 0)
+ return (1.0);
+
+ /* If x = NaN or Inf, then cos(x) = NaN. */
+ if (z.bits.exp == 32767)
+ return ((x - x) / (x - x));
+
+ ENTERI();
+
+ /* Optimize the case where x is already within range. */
+ if (z.e < M_PI_4)
+ RETURNI(__kernel_cosl(z.e, 0));
+
+ e0 = __ieee754_rem_pio2l(x, y);
+ hi = y[0];
+ lo = y[1];
+
+ switch (e0 & 3) {
+ case 0:
+ hi = __kernel_cosl(hi, lo);
+ break;
+ case 1:
+ hi = - __kernel_sinl(hi, lo, 1);
+ break;
+ case 2:
+ hi = - __kernel_cosl(hi, lo);
+ break;
+ case 3:
+ hi = __kernel_sinl(hi, lo, 1);
+ break;
+ }
+
+ RETURNI(hi);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cproj.c b/libm/upstream-freebsd/lib/msun/src/s_cproj.c
new file mode 100644
index 0000000..ec2266e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cproj.c
@@ -0,0 +1,47 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_cproj.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+double complex
+cproj(double complex z)
+{
+
+ if (!isinf(creal(z)) && !isinf(cimag(z)))
+ return (z);
+ else
+ return (CMPLX(INFINITY, copysign(0.0, cimag(z))));
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(cproj, cprojl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cprojf.c b/libm/upstream-freebsd/lib/msun/src/s_cprojf.c
new file mode 100644
index 0000000..63af75f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cprojf.c
@@ -0,0 +1,43 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_cprojf.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+float complex
+cprojf(float complex z)
+{
+
+ if (!isinf(crealf(z)) && !isinf(cimagf(z)))
+ return (z);
+ else
+ return (CMPLXF(INFINITY, copysignf(0.0, cimagf(z))));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_cprojl.c b/libm/upstream-freebsd/lib/msun/src/s_cprojl.c
new file mode 100644
index 0000000..8386f81
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_cprojl.c
@@ -0,0 +1,43 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_cprojl.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+long double complex
+cprojl(long double complex z)
+{
+
+ if (!isinf(creall(z)) && !isinf(cimagl(z)))
+ return (z);
+ else
+ return (CMPLXL(INFINITY, copysignl(0.0, cimagl(z))));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_creal.c b/libm/upstream-freebsd/lib/msun/src/s_creal.c
new file mode 100644
index 0000000..3295ff2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_creal.c
@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+
+double
+creal(double complex z)
+{
+ return z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_crealf.c b/libm/upstream-freebsd/lib/msun/src/s_crealf.c
new file mode 100644
index 0000000..5819b86
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_crealf.c
@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+
+float
+crealf(float complex z)
+{
+ return z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_creall.c b/libm/upstream-freebsd/lib/msun/src/s_creall.c
new file mode 100644
index 0000000..e4946f9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_creall.c
@@ -0,0 +1,35 @@
+/*-
+ * Copyright (c) 2004 Stefan Farfeleder
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <complex.h>
+
+long double
+creall(long double complex z)
+{
+ return z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csinh.c b/libm/upstream-freebsd/lib/msun/src/s_csinh.c
new file mode 100644
index 0000000..cff1402
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csinh.c
@@ -0,0 +1,156 @@
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Hyperbolic sine of a complex argument z = x + i y.
+ *
+ * sinh(z) = sinh(x+iy)
+ * = sinh(x) cos(y) + i cosh(x) sin(y).
+ *
+ * Exceptional values are noted in the comments within the source code.
+ * These values and the return value were taken from n1124.pdf.
+ * The sign of the result for some exceptional values is unspecified but
+ * must satisfy both sinh(conj(z)) == conj(sinh(z)) and sinh(-z) == -sinh(z).
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csinh.c 284426 2015-06-15 20:16:53Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const double huge = 0x1p1023;
+
+double complex
+csinh(double complex z)
+{
+ double x, y, h;
+ int32_t hx, hy, ix, iy, lx, ly;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ EXTRACT_WORDS(hy, ly, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ /* Handle the nearly-non-exceptional cases where x and y are finite. */
+ if (ix < 0x7ff00000 && iy < 0x7ff00000) {
+ if ((iy | ly) == 0)
+ return (CMPLX(sinh(x), y));
+ if (ix < 0x40360000) /* |x| < 22: normal case */
+ return (CMPLX(sinh(x) * cos(y), cosh(x) * sin(y)));
+
+ /* |x| >= 22, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x40862e42) {
+ /* x < 710: exp(|x|) won't overflow */
+ h = exp(fabs(x)) * 0.5;
+ return (CMPLX(copysign(h, x) * cos(y), h * sin(y)));
+ } else if (ix < 0x4096bbaa) {
+ /* x < 1455: scale to avoid overflow */
+ z = __ldexp_cexp(CMPLX(fabs(x), y), -1);
+ return (CMPLX(creal(z) * copysign(1, x), cimag(z)));
+ } else {
+ /* x >= 1455: the result always overflows */
+ h = huge * x;
+ return (CMPLX(h * cos(y), h * h * sin(y)));
+ }
+ }
+
+ /*
+ * sinh(+-0 +- I Inf) = +-0 + I dNaN.
+ * The sign of 0 in the result is unspecified. Choice = same sign
+ * as the argument. Raise the invalid floating-point exception.
+ *
+ * sinh(+-0 +- I NaN) = +-0 + I d(NaN).
+ * The sign of 0 in the result is unspecified. Choice = same sign
+ * as the argument.
+ */
+ if ((ix | lx) == 0) /* && iy >= 0x7ff00000 */
+ return (CMPLX(x, y - y));
+
+ /*
+ * sinh(+-Inf +- I 0) = +-Inf + I +-0.
+ *
+ * sinh(NaN +- I 0) = d(NaN) + I +-0.
+ */
+ if ((iy | ly) == 0) /* && ix >= 0x7ff00000 */
+ return (CMPLX(x + x, y));
+
+ /*
+ * sinh(x +- I Inf) = dNaN + I dNaN.
+ * Raise the invalid floating-point exception for finite nonzero x.
+ *
+ * sinh(x + I NaN) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero x. Choice = don't raise (except for signaling NaNs).
+ */
+ if (ix < 0x7ff00000) /* && iy >= 0x7ff00000 */
+ return (CMPLX(y - y, y - y));
+
+ /*
+ * sinh(+-Inf + I NaN) = +-Inf + I d(NaN).
+ * The sign of Inf in the result is unspecified. Choice = same sign
+ * as the argument.
+ *
+ * sinh(+-Inf +- I Inf) = +-Inf + I dNaN.
+ * The sign of Inf in the result is unspecified. Choice = same sign
+ * as the argument. Raise the invalid floating-point exception.
+ *
+ * sinh(+-Inf + I y) = +-Inf cos(y) + I Inf sin(y)
+ */
+ if (ix == 0x7ff00000 && lx == 0) {
+ if (iy >= 0x7ff00000)
+ return (CMPLX(x, y - y));
+ return (CMPLX(x * cos(y), INFINITY * sin(y)));
+ }
+
+ /*
+ * sinh(NaN1 + I NaN2) = d(NaN1, NaN2) + I d(NaN1, NaN2).
+ *
+ * sinh(NaN +- I Inf) = d(NaN, dNaN) + I d(NaN, dNaN).
+ * Optionally raises the invalid floating-point exception.
+ * Choice = raise.
+ *
+ * sinh(NaN + I y) = d(NaN) + I d(NaN).
+ * Optionally raises the invalid floating-point exception for finite
+ * nonzero y. Choice = don't raise (except for signaling NaNs).
+ */
+ return (CMPLX((x + x) * (y - y), (x * x) * (y - y)));
+}
+
+double complex
+csin(double complex z)
+{
+
+ /* csin(z) = -I * csinh(I * z) = I * conj(csinh(I * conj(z))). */
+ z = csinh(CMPLX(cimag(z), creal(z)));
+ return (CMPLX(cimag(z), creal(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csinhf.c b/libm/upstream-freebsd/lib/msun/src/s_csinhf.c
new file mode 100644
index 0000000..f050890
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csinhf.c
@@ -0,0 +1,102 @@
+/*-
+ * Copyright (c) 2005 Bruce D. Evans and Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Float version of csinh(). See s_csinh.c for details.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csinhf.c 284426 2015-06-15 20:16:53Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+static const float huge = 0x1p127;
+
+float complex
+csinhf(float complex z)
+{
+ float x, y, h;
+ int32_t hx, hy, ix, iy;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ GET_FLOAT_WORD(hy, y);
+
+ ix = 0x7fffffff & hx;
+ iy = 0x7fffffff & hy;
+
+ if (ix < 0x7f800000 && iy < 0x7f800000) {
+ if (iy == 0)
+ return (CMPLXF(sinhf(x), y));
+ if (ix < 0x41100000) /* |x| < 9: normal case */
+ return (CMPLXF(sinhf(x) * cosf(y), coshf(x) * sinf(y)));
+
+ /* |x| >= 9, so cosh(x) ~= exp(|x|) */
+ if (ix < 0x42b17218) {
+ /* x < 88.7: expf(|x|) won't overflow */
+ h = expf(fabsf(x)) * 0.5F;
+ return (CMPLXF(copysignf(h, x) * cosf(y), h * sinf(y)));
+ } else if (ix < 0x4340b1e7) {
+ /* x < 192.7: scale to avoid overflow */
+ z = __ldexp_cexpf(CMPLXF(fabsf(x), y), -1);
+ return (CMPLXF(crealf(z) * copysignf(1, x), cimagf(z)));
+ } else {
+ /* x >= 192.7: the result always overflows */
+ h = huge * x;
+ return (CMPLXF(h * cosf(y), h * h * sinf(y)));
+ }
+ }
+
+ if (ix == 0) /* && iy >= 0x7f800000 */
+ return (CMPLXF(x, y - y));
+
+ if (iy == 0) /* && ix >= 0x7f800000 */
+ return (CMPLXF(x + x, y));
+
+ if (ix < 0x7f800000) /* && iy >= 0x7f800000 */
+ return (CMPLXF(y - y, y - y));
+
+ if (ix == 0x7f800000) {
+ if (iy >= 0x7f800000)
+ return (CMPLXF(x, y - y));
+ return (CMPLXF(x * cosf(y), INFINITY * sinf(y)));
+ }
+
+ return (CMPLXF((x + x) * (y - y), (x * x) * (y - y)));
+}
+
+float complex
+csinf(float complex z)
+{
+
+ z = csinhf(CMPLXF(cimagf(z), crealf(z)));
+ return (CMPLXF(cimagf(z), crealf(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csqrt.c b/libm/upstream-freebsd/lib/msun/src/s_csqrt.c
new file mode 100644
index 0000000..c908a2d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csqrt.c
@@ -0,0 +1,112 @@
+/*-
+ * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrt.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+/* We risk spurious overflow for components >= DBL_MAX / (1 + sqrt(2)). */
+#define THRESH 0x1.a827999fcef32p+1022
+
+double complex
+csqrt(double complex z)
+{
+ double complex result;
+ double a, b;
+ double t;
+ int scale;
+
+ a = creal(z);
+ b = cimag(z);
+
+ /* Handle special cases. */
+ if (z == 0)
+ return (CMPLX(0, b));
+ if (isinf(b))
+ return (CMPLX(INFINITY, b));
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return (CMPLX(a, t)); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrt(inf + NaN i) = inf + NaN i
+ * csqrt(inf + y i) = inf + 0 i
+ * csqrt(-inf + NaN i) = NaN +- inf i
+ * csqrt(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return (CMPLX(fabs(b - b), copysign(a, b)));
+ else
+ return (CMPLX(a, copysign(b - b, b)));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /* Scale to avoid overflow. */
+ if (fabs(a) >= THRESH || fabs(b) >= THRESH) {
+ a *= 0.25;
+ b *= 0.25;
+ scale = 1;
+ } else {
+ scale = 0;
+ }
+
+ /* Algorithm 312, CACM vol 10, Oct 1967. */
+ if (a >= 0) {
+ t = sqrt((a + hypot(a, b)) * 0.5);
+ result = CMPLX(t, b / (2 * t));
+ } else {
+ t = sqrt((-a + hypot(a, b)) * 0.5);
+ result = CMPLX(fabs(b) / (2 * t), copysign(t, b));
+ }
+
+ /* Rescale. */
+ if (scale)
+ return (result * 2);
+ else
+ return (result);
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(csqrt, csqrtl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csqrtf.c b/libm/upstream-freebsd/lib/msun/src/s_csqrtf.c
new file mode 100644
index 0000000..12a894f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csqrtf.c
@@ -0,0 +1,88 @@
+/*-
+ * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrtf.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+float complex
+csqrtf(float complex z)
+{
+ float a = crealf(z), b = cimagf(z);
+ double t;
+
+ /* Handle special cases. */
+ if (z == 0)
+ return (CMPLXF(0, b));
+ if (isinf(b))
+ return (CMPLXF(INFINITY, b));
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return (CMPLXF(a, t)); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrtf(inf + NaN i) = inf + NaN i
+ * csqrtf(inf + y i) = inf + 0 i
+ * csqrtf(-inf + NaN i) = NaN +- inf i
+ * csqrtf(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return (CMPLXF(fabsf(b - b), copysignf(a, b)));
+ else
+ return (CMPLXF(a, copysignf(b - b, b)));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /*
+ * We compute t in double precision to avoid overflow and to
+ * provide correct rounding in nearly all cases.
+ * This is Algorithm 312, CACM vol 10, Oct 1967.
+ */
+ if (a >= 0) {
+ t = sqrt((a + hypot(a, b)) * 0.5);
+ return (CMPLXF(t, b / (2.0 * t)));
+ } else {
+ t = sqrt((-a + hypot(a, b)) * 0.5);
+ return (CMPLXF(fabsf(b) / (2.0 * t), copysignf(t, b)));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c b/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c
new file mode 100644
index 0000000..7bcff59
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_csqrtl.c
@@ -0,0 +1,108 @@
+/*-
+ * Copyright (c) 2007-2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_csqrtl.c 275819 2014-12-16 09:21:56Z ed $");
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * gcc doesn't implement complex multiplication or division correctly,
+ * so we need to handle infinities specially. We turn on this pragma to
+ * notify conforming c99 compilers that the fast-but-incorrect code that
+ * gcc generates is acceptable, since the special cases have already been
+ * handled.
+ */
+#pragma STDC CX_LIMITED_RANGE ON
+
+/* We risk spurious overflow for components >= LDBL_MAX / (1 + sqrt(2)). */
+#define THRESH (LDBL_MAX / 2.414213562373095048801688724209698L)
+
+long double complex
+csqrtl(long double complex z)
+{
+ long double complex result;
+ long double a, b;
+ long double t;
+ int scale;
+
+ a = creall(z);
+ b = cimagl(z);
+
+ /* Handle special cases. */
+ if (z == 0)
+ return (CMPLXL(0, b));
+ if (isinf(b))
+ return (CMPLXL(INFINITY, b));
+ if (isnan(a)) {
+ t = (b - b) / (b - b); /* raise invalid if b is not a NaN */
+ return (CMPLXL(a, t)); /* return NaN + NaN i */
+ }
+ if (isinf(a)) {
+ /*
+ * csqrt(inf + NaN i) = inf + NaN i
+ * csqrt(inf + y i) = inf + 0 i
+ * csqrt(-inf + NaN i) = NaN +- inf i
+ * csqrt(-inf + y i) = 0 + inf i
+ */
+ if (signbit(a))
+ return (CMPLXL(fabsl(b - b), copysignl(a, b)));
+ else
+ return (CMPLXL(a, copysignl(b - b, b)));
+ }
+ /*
+ * The remaining special case (b is NaN) is handled just fine by
+ * the normal code path below.
+ */
+
+ /* Scale to avoid overflow. */
+ if (fabsl(a) >= THRESH || fabsl(b) >= THRESH) {
+ a *= 0.25;
+ b *= 0.25;
+ scale = 1;
+ } else {
+ scale = 0;
+ }
+
+ /* Algorithm 312, CACM vol 10, Oct 1967. */
+ if (a >= 0) {
+ t = sqrtl((a + hypotl(a, b)) * 0.5);
+ result = CMPLXL(t, b / (2 * t));
+ } else {
+ t = sqrtl((-a + hypotl(a, b)) * 0.5);
+ result = CMPLXL(fabsl(b) / (2 * t), copysignl(t, b));
+ }
+
+ /* Rescale. */
+ if (scale)
+ return (result * 2);
+ else
+ return (result);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ctanh.c b/libm/upstream-freebsd/lib/msun/src/s_ctanh.c
new file mode 100644
index 0000000..e5973c3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ctanh.c
@@ -0,0 +1,145 @@
+/*-
+ * Copyright (c) 2011 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Hyperbolic tangent of a complex argument z = x + I y.
+ *
+ * The algorithm is from:
+ *
+ * W. Kahan. Branch Cuts for Complex Elementary Functions or Much
+ * Ado About Nothing's Sign Bit. In The State of the Art in
+ * Numerical Analysis, pp. 165 ff. Iserles and Powell, eds., 1987.
+ *
+ * Method:
+ *
+ * Let t = tan(x)
+ * beta = 1/cos^2(y)
+ * s = sinh(x)
+ * rho = cosh(x)
+ *
+ * We have:
+ *
+ * tanh(z) = sinh(z) / cosh(z)
+ *
+ * sinh(x) cos(y) + I cosh(x) sin(y)
+ * = ---------------------------------
+ * cosh(x) cos(y) + I sinh(x) sin(y)
+ *
+ * cosh(x) sinh(x) / cos^2(y) + I tan(y)
+ * = -------------------------------------
+ * 1 + sinh^2(x) / cos^2(y)
+ *
+ * beta rho s + I t
+ * = ----------------
+ * 1 + beta s^2
+ *
+ * Modifications:
+ *
+ * I omitted the original algorithm's handling of overflow in tan(x) after
+ * verifying with nearpi.c that this can't happen in IEEE single or double
+ * precision. I also handle large x differently.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_ctanh.c 284427 2015-06-15 20:40:44Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+double complex
+ctanh(double complex z)
+{
+ double x, y;
+ double t, beta, s, rho, denom;
+ uint32_t hx, ix, lx;
+
+ x = creal(z);
+ y = cimag(z);
+
+ EXTRACT_WORDS(hx, lx, x);
+ ix = hx & 0x7fffffff;
+
+ /*
+ * ctanh(NaN +- I 0) = d(NaN) +- I 0
+ *
+ * ctanh(NaN + I y) = d(NaN,y) + I d(NaN,y) for y != 0
+ *
+ * The imaginary part has the sign of x*sin(2*y), but there's no
+ * special effort to get this right.
+ *
+ * ctanh(+-Inf +- I Inf) = +-1 +- I 0
+ *
+ * ctanh(+-Inf + I y) = +-1 + I 0 sin(2y) for y finite
+ *
+ * The imaginary part of the sign is unspecified. This special
+ * case is only needed to avoid a spurious invalid exception when
+ * y is infinite.
+ */
+ if (ix >= 0x7ff00000) {
+ if ((ix & 0xfffff) | lx) /* x is NaN */
+ return (CMPLX((x + 0) * (y + 0),
+ y == 0 ? y : (x + 0) * (y + 0)));
+ SET_HIGH_WORD(x, hx - 0x40000000); /* x = copysign(1, x) */
+ return (CMPLX(x, copysign(0, isinf(y) ? y : sin(y) * cos(y))));
+ }
+
+ /*
+ * ctanh(x + I NaN) = d(NaN) + I d(NaN)
+ * ctanh(x +- I Inf) = dNaN + I dNaN
+ */
+ if (!isfinite(y))
+ return (CMPLX(y - y, y - y));
+
+ /*
+ * ctanh(+-huge +- I y) ~= +-1 +- I 2sin(2y)/exp(2x), using the
+ * approximation sinh^2(huge) ~= exp(2*huge) / 4.
+ * We use a modified formula to avoid spurious overflow.
+ */
+ if (ix >= 0x40360000) { /* |x| >= 22 */
+ double exp_mx = exp(-fabs(x));
+ return (CMPLX(copysign(1, x),
+ 4 * sin(y) * cos(y) * exp_mx * exp_mx));
+ }
+
+ /* Kahan's algorithm */
+ t = tan(y);
+ beta = 1.0 + t * t; /* = 1 / cos^2(y) */
+ s = sinh(x);
+ rho = sqrt(1 + s * s); /* = cosh(x) */
+ denom = 1 + beta * s * s;
+ return (CMPLX((beta * rho * s) / denom, t / denom));
+}
+
+double complex
+ctan(double complex z)
+{
+
+ /* ctan(z) = -I * ctanh(I * z) = I * conj(ctanh(I * conj(z))) */
+ z = ctanh(CMPLX(cimag(z), creal(z)));
+ return (CMPLX(cimag(z), creal(z)));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ctanhf.c b/libm/upstream-freebsd/lib/msun/src/s_ctanhf.c
new file mode 100644
index 0000000..e9826c0
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ctanhf.c
@@ -0,0 +1,85 @@
+/*-
+ * Copyright (c) 2011 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/*
+ * Hyperbolic tangent of a complex argument z. See s_ctanh.c for details.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_ctanhf.c 284428 2015-06-15 20:47:26Z tijl $");
+
+#include <complex.h>
+#include <math.h>
+
+#include "math_private.h"
+
+float complex
+ctanhf(float complex z)
+{
+ float x, y;
+ float t, beta, s, rho, denom;
+ uint32_t hx, ix;
+
+ x = crealf(z);
+ y = cimagf(z);
+
+ GET_FLOAT_WORD(hx, x);
+ ix = hx & 0x7fffffff;
+
+ if (ix >= 0x7f800000) {
+ if (ix & 0x7fffff)
+ return (CMPLXF((x + 0) * (y + 0),
+ y == 0 ? y : (x + 0) * (y + 0)));
+ SET_FLOAT_WORD(x, hx - 0x40000000);
+ return (CMPLXF(x,
+ copysignf(0, isinf(y) ? y : sinf(y) * cosf(y))));
+ }
+
+ if (!isfinite(y))
+ return (CMPLXF(y - y, y - y));
+
+ if (ix >= 0x41300000) { /* |x| >= 11 */
+ float exp_mx = expf(-fabsf(x));
+ return (CMPLXF(copysignf(1, x),
+ 4 * sinf(y) * cosf(y) * exp_mx * exp_mx));
+ }
+
+ t = tanf(y);
+ beta = 1.0 + t * t;
+ s = sinhf(x);
+ rho = sqrtf(1 + s * s);
+ denom = 1 + beta * s * s;
+ return (CMPLXF((beta * rho * s) / denom, t / denom));
+}
+
+float complex
+ctanf(float complex z)
+{
+
+ z = ctanhf(CMPLXF(cimagf(z), crealf(z)));
+ return (CMPLXF(cimagf(z), crealf(z)));
+}
+
diff --git a/libm/upstream-freebsd/lib/msun/src/s_erf.c b/libm/upstream-freebsd/lib/msun/src/s_erf.c
new file mode 100644
index 0000000..e1d63bc
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_erf.c
@@ -0,0 +1,309 @@
+/* @(#)s_erf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* double erf(double x)
+ * double erfc(double x)
+ * x
+ * 2 |\
+ * erf(x) = --------- | exp(-t*t)dt
+ * sqrt(pi) \|
+ * 0
+ *
+ * erfc(x) = 1-erf(x)
+ * Note that
+ * erf(-x) = -erf(x)
+ * erfc(-x) = 2 - erfc(x)
+ *
+ * Method:
+ * 1. For |x| in [0, 0.84375]
+ * erf(x) = x + x*R(x^2)
+ * erfc(x) = 1 - erf(x) if x in [-.84375,0.25]
+ * = 0.5 + ((0.5-x)-x*R) if x in [0.25,0.84375]
+ * where R = P/Q where P is an odd poly of degree 8 and
+ * Q is an odd poly of degree 10.
+ * -57.90
+ * | R - (erf(x)-x)/x | <= 2
+ *
+ *
+ * Remark. The formula is derived by noting
+ * erf(x) = (2/sqrt(pi))*(x - x^3/3 + x^5/10 - x^7/42 + ....)
+ * and that
+ * 2/sqrt(pi) = 1.128379167095512573896158903121545171688
+ * is close to one. The interval is chosen because the fix
+ * point of erf(x) is near 0.6174 (i.e., erf(x)=x when x is
+ * near 0.6174), and by some experiment, 0.84375 is chosen to
+ * guarantee the error is less than one ulp for erf.
+ *
+ * 2. For |x| in [0.84375,1.25], let s = |x| - 1, and
+ * c = 0.84506291151 rounded to single (24 bits)
+ * erf(x) = sign(x) * (c + P1(s)/Q1(s))
+ * erfc(x) = (1-c) - P1(s)/Q1(s) if x > 0
+ * 1+(c+P1(s)/Q1(s)) if x < 0
+ * |P1/Q1 - (erf(|x|)-c)| <= 2**-59.06
+ * Remark: here we use the taylor series expansion at x=1.
+ * erf(1+s) = erf(1) + s*Poly(s)
+ * = 0.845.. + P1(s)/Q1(s)
+ * That is, we use rational approximation to approximate
+ * erf(1+s) - (c = (single)0.84506291151)
+ * Note that |P1/Q1|< 0.078 for x in [0.84375,1.25]
+ * where
+ * P1(s) = degree 6 poly in s
+ * Q1(s) = degree 6 poly in s
+ *
+ * 3. For x in [1.25,1/0.35(~2.857143)],
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R1/S1)
+ * erf(x) = 1 - erfc(x)
+ * where
+ * R1(z) = degree 7 poly in z, (z=1/x^2)
+ * S1(z) = degree 8 poly in z
+ *
+ * 4. For x in [1/0.35,28]
+ * erfc(x) = (1/x)*exp(-x*x-0.5625+R2/S2) if x > 0
+ * = 2.0 - (1/x)*exp(-x*x-0.5625+R2/S2) if -6<x<0
+ * = 2.0 - tiny (if x <= -6)
+ * erf(x) = sign(x)*(1.0 - erfc(x)) if x < 6, else
+ * erf(x) = sign(x)*(1.0 - tiny)
+ * where
+ * R2(z) = degree 6 poly in z, (z=1/x^2)
+ * S2(z) = degree 7 poly in z
+ *
+ * Note1:
+ * To compute exp(-x*x-0.5625+R/S), let s be a single
+ * precision number and s := x; then
+ * -x*x = -s*s + (s-x)*(s+x)
+ * exp(-x*x-0.5626+R/S) =
+ * exp(-s*s-0.5625)*exp((s-x)*(s+x)+R/S);
+ * Note2:
+ * Here 4 and 5 make use of the asymptotic series
+ * exp(-x*x)
+ * erfc(x) ~ ---------- * ( 1 + Poly(1/x^2) )
+ * x*sqrt(pi)
+ * We use rational approximation to approximate
+ * g(s)=f(1/x^2) = log(erfc(x)*x) - x*x + 0.5625
+ * Here is the error bound for R1/S1 and R2/S2
+ * |R1/S1 - f(x)| < 2**(-62.57)
+ * |R2/S2 - f(x)| < 2**(-61.52)
+ *
+ * 5. For inf > x >= 28
+ * erf(x) = sign(x) *(1 - tiny) (raise inexact)
+ * erfc(x) = tiny*tiny (raise underflow) if x > 0
+ * = 2 - tiny if x<0
+ *
+ * 7. Special case:
+ * erf(0) = 0, erf(inf) = 1, erf(-inf) = -1,
+ * erfc(0) = 1, erfc(inf) = 0, erfc(-inf) = 2,
+ * erfc/erf(NaN) is NaN
+ */
+
+
+#include "math.h"
+#include "math_private.h"
+
+/* XXX Prevent compilers from erroneously constant folding: */
+static const volatile double tiny= 1e-300;
+
+static const double
+half= 0.5,
+one = 1,
+two = 2,
+/* c = (float)0.84506291151 */
+erx = 8.45062911510467529297e-01, /* 0x3FEB0AC1, 0x60000000 */
+/*
+ * In the domain [0, 2**-28], only the first term in the power series
+ * expansion of erf(x) is used. The magnitude of the first neglected
+ * terms is less than 2**-84.
+ */
+efx = 1.28379167095512586316e-01, /* 0x3FC06EBA, 0x8214DB69 */
+efx8= 1.02703333676410069053e+00, /* 0x3FF06EBA, 0x8214DB69 */
+/*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+pp0 = 1.28379167095512558561e-01, /* 0x3FC06EBA, 0x8214DB68 */
+pp1 = -3.25042107247001499370e-01, /* 0xBFD4CD7D, 0x691CB913 */
+pp2 = -2.84817495755985104766e-02, /* 0xBF9D2A51, 0xDBD7194F */
+pp3 = -5.77027029648944159157e-03, /* 0xBF77A291, 0x236668E4 */
+pp4 = -2.37630166566501626084e-05, /* 0xBEF8EAD6, 0x120016AC */
+qq1 = 3.97917223959155352819e-01, /* 0x3FD97779, 0xCDDADC09 */
+qq2 = 6.50222499887672944485e-02, /* 0x3FB0A54C, 0x5536CEBA */
+qq3 = 5.08130628187576562776e-03, /* 0x3F74D022, 0xC4D36B0F */
+qq4 = 1.32494738004321644526e-04, /* 0x3F215DC9, 0x221C1A10 */
+qq5 = -3.96022827877536812320e-06, /* 0xBED09C43, 0x42A26120 */
+/*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+pa0 = -2.36211856075265944077e-03, /* 0xBF6359B8, 0xBEF77538 */
+pa1 = 4.14856118683748331666e-01, /* 0x3FDA8D00, 0xAD92B34D */
+pa2 = -3.72207876035701323847e-01, /* 0xBFD7D240, 0xFBB8C3F1 */
+pa3 = 3.18346619901161753674e-01, /* 0x3FD45FCA, 0x805120E4 */
+pa4 = -1.10894694282396677476e-01, /* 0xBFBC6398, 0x3D3E28EC */
+pa5 = 3.54783043256182359371e-02, /* 0x3FA22A36, 0x599795EB */
+pa6 = -2.16637559486879084300e-03, /* 0xBF61BF38, 0x0A96073F */
+qa1 = 1.06420880400844228286e-01, /* 0x3FBB3E66, 0x18EEE323 */
+qa2 = 5.40397917702171048937e-01, /* 0x3FE14AF0, 0x92EB6F33 */
+qa3 = 7.18286544141962662868e-02, /* 0x3FB2635C, 0xD99FE9A7 */
+qa4 = 1.26171219808761642112e-01, /* 0x3FC02660, 0xE763351F */
+qa5 = 1.36370839120290507362e-02, /* 0x3F8BEDC2, 0x6B51DD1C */
+qa6 = 1.19844998467991074170e-02, /* 0x3F888B54, 0x5735151D */
+/*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ra0 = -9.86494403484714822705e-03, /* 0xBF843412, 0x600D6435 */
+ra1 = -6.93858572707181764372e-01, /* 0xBFE63416, 0xE4BA7360 */
+ra2 = -1.05586262253232909814e+01, /* 0xC0251E04, 0x41B0E726 */
+ra3 = -6.23753324503260060396e+01, /* 0xC04F300A, 0xE4CBA38D */
+ra4 = -1.62396669462573470355e+02, /* 0xC0644CB1, 0x84282266 */
+ra5 = -1.84605092906711035994e+02, /* 0xC067135C, 0xEBCCABB2 */
+ra6 = -8.12874355063065934246e+01, /* 0xC0545265, 0x57E4D2F2 */
+ra7 = -9.81432934416914548592e+00, /* 0xC023A0EF, 0xC69AC25C */
+sa1 = 1.96512716674392571292e+01, /* 0x4033A6B9, 0xBD707687 */
+sa2 = 1.37657754143519042600e+02, /* 0x4061350C, 0x526AE721 */
+sa3 = 4.34565877475229228821e+02, /* 0x407B290D, 0xD58A1A71 */
+sa4 = 6.45387271733267880336e+02, /* 0x40842B19, 0x21EC2868 */
+sa5 = 4.29008140027567833386e+02, /* 0x407AD021, 0x57700314 */
+sa6 = 1.08635005541779435134e+02, /* 0x405B28A3, 0xEE48AE2C */
+sa7 = 6.57024977031928170135e+00, /* 0x401A47EF, 0x8E484A93 */
+sa8 = -6.04244152148580987438e-02, /* 0xBFAEEFF2, 0xEE749A62 */
+/*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+rb0 = -9.86494292470009928597e-03, /* 0xBF843412, 0x39E86F4A */
+rb1 = -7.99283237680523006574e-01, /* 0xBFE993BA, 0x70C285DE */
+rb2 = -1.77579549177547519889e+01, /* 0xC031C209, 0x555F995A */
+rb3 = -1.60636384855821916062e+02, /* 0xC064145D, 0x43C5ED98 */
+rb4 = -6.37566443368389627722e+02, /* 0xC083EC88, 0x1375F228 */
+rb5 = -1.02509513161107724954e+03, /* 0xC0900461, 0x6A2E5992 */
+rb6 = -4.83519191608651397019e+02, /* 0xC07E384E, 0x9BDC383F */
+sb1 = 3.03380607434824582924e+01, /* 0x403E568B, 0x261D5190 */
+sb2 = 3.25792512996573918826e+02, /* 0x40745CAE, 0x221B9F0A */
+sb3 = 1.53672958608443695994e+03, /* 0x409802EB, 0x189D5118 */
+sb4 = 3.19985821950859553908e+03, /* 0x40A8FFB7, 0x688C246A */
+sb5 = 2.55305040643316442583e+03, /* 0x40A3F219, 0xCEDF3BE6 */
+sb6 = 4.74528541206955367215e+02, /* 0x407DA874, 0xE79FE763 */
+sb7 = -2.24409524465858183362e+01; /* 0xC03670E2, 0x42712D62 */
+
+double
+erf(double x)
+{
+ int32_t hx,ix,i;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erf(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (double)(1-i)+one/x; /* erf(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ if(ix < 0x3e300000) { /* |x|<2**-28 */
+ if (ix < 0x00800000)
+ return (8*x+efx8*x)/8; /* avoid spurious underflow */
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabs(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40180000) { /* inf>|x|>=6 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6E) { /* |x| < 1/0.35 */
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(sa5+s*(sa6+s*(sa7+
+ s*sa8)))))));
+ } else { /* |x| >= 1/0.35 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(sb5+s*(sb6+s*sb7))))));
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(erf, erfl);
+#endif
+
+double
+erfc(double x)
+{
+ int32_t hx,ix;
+ double R,S,P,Q,s,y,z,r;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7ff00000) { /* erfc(nan)=nan */
+ /* erfc(+-inf)=0,2 */
+ return (double)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3feb0000) { /* |x|<0.84375 */
+ if(ix < 0x3c700000) /* |x|<2**-56 */
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
+ s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
+ y = r/s;
+ if(hx < 0x3fd00000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3ff40000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabs(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
+ Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x403c0000) { /* |x|<28 */
+ x = fabs(x);
+ s = one/(x*x);
+ if(ix< 0x4006DB6D) { /* |x| < 1/.35 ~ 2.857143*/
+ R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(ra5+s*(ra6+s*ra7))))));
+ S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(sa5+s*(sa6+s*(sa7+
+ s*sa8)))))));
+ } else { /* |x| >= 1/.35 ~ 2.857143 */
+ if(hx<0&&ix>=0x40180000) return two-tiny;/* x < -6 */
+ R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(rb5+s*rb6)))));
+ S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(sb5+s*(sb6+s*sb7))))));
+ }
+ z = x;
+ SET_LOW_WORD(z,0);
+ r = __ieee754_exp(-z*z-0.5625)*__ieee754_exp((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(erfc, erfcl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_erff.c b/libm/upstream-freebsd/lib/msun/src/s_erff.c
new file mode 100644
index 0000000..d6cfbd2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_erff.c
@@ -0,0 +1,181 @@
+/* s_erff.c -- float version of s_erf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+/* XXX Prevent compilers from erroneously constant folding: */
+static const volatile float tiny = 1e-30;
+
+static const float
+half= 0.5,
+one = 1,
+two = 2,
+erx = 8.42697144e-01, /* 0x3f57bb00 */
+/*
+ * In the domain [0, 2**-14], only the first term in the power series
+ * expansion of erf(x) is used. The magnitude of the first neglected
+ * terms is less than 2**-42.
+ */
+efx = 1.28379166e-01, /* 0x3e0375d4 */
+efx8= 1.02703333e+00, /* 0x3f8375d4 */
+/*
+ * Domain [0, 0.84375], range ~[-5.4419e-10, 5.5179e-10]:
+ * |(erf(x) - x)/x - pp(x)/qq(x)| < 2**-31
+ */
+pp0 = 1.28379166e-01, /* 0x3e0375d4 */
+pp1 = -3.36030394e-01, /* 0xbeac0c2d */
+pp2 = -1.86261395e-03, /* 0xbaf422f4 */
+qq1 = 3.12324315e-01, /* 0x3e9fe8f9 */
+qq2 = 2.16070414e-02, /* 0x3cb10140 */
+qq3 = -1.98859372e-03, /* 0xbb025311 */
+/*
+ * Domain [0.84375, 1.25], range ~[-1.023e-9, 1.023e-9]:
+ * |(erf(x) - erx) - pa(x)/qa(x)| < 2**-31
+ */
+pa0 = 3.65041046e-06, /* 0x3674f993 */
+pa1 = 4.15109307e-01, /* 0x3ed48935 */
+pa2 = -2.09395722e-01, /* 0xbe566bd5 */
+pa3 = 8.67677554e-02, /* 0x3db1b34b */
+qa1 = 4.95560974e-01, /* 0x3efdba2b */
+qa2 = 3.71248513e-01, /* 0x3ebe1449 */
+qa3 = 3.92478965e-02, /* 0x3d20c267 */
+/*
+ * Domain [1.25,1/0.35], range ~[-4.821e-9, 4.927e-9]:
+ * |log(x*erfc(x)) + x**2 + 0.5625 - ra(x)/sa(x)| < 2**-28
+ */
+ra0 = -9.88156721e-03, /* 0xbc21e64c */
+ra1 = -5.43658376e-01, /* 0xbf0b2d32 */
+ra2 = -1.66828310e+00, /* 0xbfd58a4d */
+ra3 = -6.91554189e-01, /* 0xbf3109b2 */
+sa1 = 4.48581553e+00, /* 0x408f8bcd */
+sa2 = 4.10799170e+00, /* 0x408374ab */
+sa3 = 5.53855181e-01, /* 0x3f0dc974 */
+/*
+ * Domain [2.85715, 11], range ~[-1.484e-9, 1.505e-9]:
+ * |log(x*erfc(x)) + x**2 + 0.5625 - rb(x)/sb(x)| < 2**-30
+ */
+rb0 = -9.86496918e-03, /* 0xbc21a0ae */
+rb1 = -5.48049808e-01, /* 0xbf0c4cfe */
+rb2 = -1.84115684e+00, /* 0xbfebab07 */
+sb1 = 4.87132740e+00, /* 0x409be1ea */
+sb2 = 3.04982710e+00, /* 0x4043305e */
+sb3 = -7.61900663e-01; /* 0xbf430bec */
+
+float
+erff(float x)
+{
+ int32_t hx,ix,i;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erff(nan)=nan */
+ i = ((u_int32_t)hx>>31)<<1;
+ return (float)(1-i)+one/x; /* erff(+-inf)=+-1 */
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x38800000) { /* |x|<2**-14 */
+ if (ix < 0x04000000) /* |x|<0x1p-119 */
+ return (8*x+efx8*x)/8; /* avoid spurious underflow */
+ return x + efx*x;
+ }
+ z = x*x;
+ r = pp0+z*(pp1+z*pp2);
+ s = one+z*(qq1+z*(qq2+z*qq3));
+ y = r/s;
+ return x + x*y;
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*pa3));
+ Q = one+s*(qa1+s*(qa2+s*qa3));
+ if(hx>=0) return erx + P/Q; else return -erx - P/Q;
+ }
+ if (ix >= 0x40800000) { /* inf>|x|>=4 */
+ if(hx>=0) return one-tiny; else return tiny-one;
+ }
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036db8c) { /* |x| < 2.85715 ~ 1/0.35 */
+ R=ra0+s*(ra1+s*(ra2+s*ra3));
+ S=one+s*(sa1+s*(sa2+s*sa3));
+ } else { /* |x| >= 2.85715 ~ 1/0.35 */
+ R=rb0+s*(rb1+s*rb2);
+ S=one+s*(sb1+s*(sb2+s*sb3));
+ }
+ SET_FLOAT_WORD(z,hx&0xffffe000);
+ r = expf(-z*z-0.5625F)*expf((z-x)*(z+x)+R/S);
+ if(hx>=0) return one-r/x; else return r/x-one;
+}
+
+float
+erfcf(float x)
+{
+ int32_t hx,ix;
+ float R,S,P,Q,s,y,z,r;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ if(ix>=0x7f800000) { /* erfcf(nan)=nan */
+ /* erfcf(+-inf)=0,2 */
+ return (float)(((u_int32_t)hx>>31)<<1)+one/x;
+ }
+
+ if(ix < 0x3f580000) { /* |x|<0.84375 */
+ if(ix < 0x33800000) /* |x|<2**-24 */
+ return one-x;
+ z = x*x;
+ r = pp0+z*(pp1+z*pp2);
+ s = one+z*(qq1+z*(qq2+z*qq3));
+ y = r/s;
+ if(hx < 0x3e800000) { /* x<1/4 */
+ return one-(x+x*y);
+ } else {
+ r = x*y;
+ r += (x-half);
+ return half - r ;
+ }
+ }
+ if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */
+ s = fabsf(x)-one;
+ P = pa0+s*(pa1+s*(pa2+s*pa3));
+ Q = one+s*(qa1+s*(qa2+s*qa3));
+ if(hx>=0) {
+ z = one-erx; return z - P/Q;
+ } else {
+ z = erx+P/Q; return one+z;
+ }
+ }
+ if (ix < 0x41300000) { /* |x|<11 */
+ x = fabsf(x);
+ s = one/(x*x);
+ if(ix< 0x4036db8c) { /* |x| < 2.85715 ~ 1/.35 */
+ R=ra0+s*(ra1+s*(ra2+s*ra3));
+ S=one+s*(sa1+s*(sa2+s*sa3));
+ } else { /* |x| >= 2.85715 ~ 1/.35 */
+ if(hx<0&&ix>=0x40a00000) return two-tiny;/* x < -5 */
+ R=rb0+s*(rb1+s*rb2);
+ S=one+s*(sb1+s*(sb2+s*sb3));
+ }
+ SET_FLOAT_WORD(z,hx&0xffffe000);
+ r = expf(-z*z-0.5625F)*expf((z-x)*(z+x)+R/S);
+ if(hx>0) return r/x; else return two-r/x;
+ } else {
+ if(hx>0) return tiny*tiny; else return two-tiny;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_exp2.c b/libm/upstream-freebsd/lib/msun/src/s_exp2.c
new file mode 100644
index 0000000..dbef729
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_exp2.c
@@ -0,0 +1,397 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_exp2.c 286515 2015-08-09 10:00:13Z dim $");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+#define TBLBITS 8
+#define TBLSIZE (1 << TBLBITS)
+
+static const double
+ redux = 0x1.8p52 / TBLSIZE,
+ P1 = 0x1.62e42fefa39efp-1,
+ P2 = 0x1.ebfbdff82c575p-3,
+ P3 = 0x1.c6b08d704a0a6p-5,
+ P4 = 0x1.3b2ab88f70400p-7,
+ P5 = 0x1.5d88003875c74p-10;
+
+static volatile double
+ huge = 0x1p1000,
+ twom1000 = 0x1p-1000;
+
+static const double tbl[TBLSIZE * 2] = {
+/* exp2(z + eps) eps */
+ 0x1.6a09e667f3d5dp-1, 0x1.9880p-44,
+ 0x1.6b052fa751744p-1, 0x1.8000p-50,
+ 0x1.6c012750bd9fep-1, -0x1.8780p-45,
+ 0x1.6cfdcddd476bfp-1, 0x1.ec00p-46,
+ 0x1.6dfb23c651a29p-1, -0x1.8000p-50,
+ 0x1.6ef9298593ae3p-1, -0x1.c000p-52,
+ 0x1.6ff7df9519386p-1, -0x1.fd80p-45,
+ 0x1.70f7466f42da3p-1, -0x1.c880p-45,
+ 0x1.71f75e8ec5fc3p-1, 0x1.3c00p-46,
+ 0x1.72f8286eacf05p-1, -0x1.8300p-44,
+ 0x1.73f9a48a58152p-1, -0x1.0c00p-47,
+ 0x1.74fbd35d7ccfcp-1, 0x1.f880p-45,
+ 0x1.75feb564267f1p-1, 0x1.3e00p-47,
+ 0x1.77024b1ab6d48p-1, -0x1.7d00p-45,
+ 0x1.780694fde5d38p-1, -0x1.d000p-50,
+ 0x1.790b938ac1d00p-1, 0x1.3000p-49,
+ 0x1.7a11473eb0178p-1, -0x1.d000p-49,
+ 0x1.7b17b0976d060p-1, 0x1.0400p-45,
+ 0x1.7c1ed0130c133p-1, 0x1.0000p-53,
+ 0x1.7d26a62ff8636p-1, -0x1.6900p-45,
+ 0x1.7e2f336cf4e3bp-1, -0x1.2e00p-47,
+ 0x1.7f3878491c3e8p-1, -0x1.4580p-45,
+ 0x1.80427543e1b4ep-1, 0x1.3000p-44,
+ 0x1.814d2add1071ap-1, 0x1.f000p-47,
+ 0x1.82589994ccd7ep-1, -0x1.1c00p-45,
+ 0x1.8364c1eb942d0p-1, 0x1.9d00p-45,
+ 0x1.8471a4623cab5p-1, 0x1.7100p-43,
+ 0x1.857f4179f5bbcp-1, 0x1.2600p-45,
+ 0x1.868d99b4491afp-1, -0x1.2c40p-44,
+ 0x1.879cad931a395p-1, -0x1.3000p-45,
+ 0x1.88ac7d98a65b8p-1, -0x1.a800p-45,
+ 0x1.89bd0a4785800p-1, -0x1.d000p-49,
+ 0x1.8ace5422aa223p-1, 0x1.3280p-44,
+ 0x1.8be05bad619fap-1, 0x1.2b40p-43,
+ 0x1.8cf3216b54383p-1, -0x1.ed00p-45,
+ 0x1.8e06a5e08664cp-1, -0x1.0500p-45,
+ 0x1.8f1ae99157807p-1, 0x1.8280p-45,
+ 0x1.902fed0282c0ep-1, -0x1.cb00p-46,
+ 0x1.9145b0b91ff96p-1, -0x1.5e00p-47,
+ 0x1.925c353aa2ff9p-1, 0x1.5400p-48,
+ 0x1.93737b0cdc64ap-1, 0x1.7200p-46,
+ 0x1.948b82b5f98aep-1, -0x1.9000p-47,
+ 0x1.95a44cbc852cbp-1, 0x1.5680p-45,
+ 0x1.96bdd9a766f21p-1, -0x1.6d00p-44,
+ 0x1.97d829fde4e2ap-1, -0x1.1000p-47,
+ 0x1.98f33e47a23a3p-1, 0x1.d000p-45,
+ 0x1.9a0f170ca0604p-1, -0x1.8a40p-44,
+ 0x1.9b2bb4d53ff89p-1, 0x1.55c0p-44,
+ 0x1.9c49182a3f15bp-1, 0x1.6b80p-45,
+ 0x1.9d674194bb8c5p-1, -0x1.c000p-49,
+ 0x1.9e86319e3238ep-1, 0x1.7d00p-46,
+ 0x1.9fa5e8d07f302p-1, 0x1.6400p-46,
+ 0x1.a0c667b5de54dp-1, -0x1.5000p-48,
+ 0x1.a1e7aed8eb8f6p-1, 0x1.9e00p-47,
+ 0x1.a309bec4a2e27p-1, 0x1.ad80p-45,
+ 0x1.a42c980460a5dp-1, -0x1.af00p-46,
+ 0x1.a5503b23e259bp-1, 0x1.b600p-47,
+ 0x1.a674a8af46213p-1, 0x1.8880p-44,
+ 0x1.a799e1330b3a7p-1, 0x1.1200p-46,
+ 0x1.a8bfe53c12e8dp-1, 0x1.6c00p-47,
+ 0x1.a9e6b5579fcd2p-1, -0x1.9b80p-45,
+ 0x1.ab0e521356fb8p-1, 0x1.b700p-45,
+ 0x1.ac36bbfd3f381p-1, 0x1.9000p-50,
+ 0x1.ad5ff3a3c2780p-1, 0x1.4000p-49,
+ 0x1.ae89f995ad2a3p-1, -0x1.c900p-45,
+ 0x1.afb4ce622f367p-1, 0x1.6500p-46,
+ 0x1.b0e07298db790p-1, 0x1.fd40p-45,
+ 0x1.b20ce6c9a89a9p-1, 0x1.2700p-46,
+ 0x1.b33a2b84f1a4bp-1, 0x1.d470p-43,
+ 0x1.b468415b747e7p-1, -0x1.8380p-44,
+ 0x1.b59728de5593ap-1, 0x1.8000p-54,
+ 0x1.b6c6e29f1c56ap-1, 0x1.ad00p-47,
+ 0x1.b7f76f2fb5e50p-1, 0x1.e800p-50,
+ 0x1.b928cf22749b2p-1, -0x1.4c00p-47,
+ 0x1.ba5b030a10603p-1, -0x1.d700p-47,
+ 0x1.bb8e0b79a6f66p-1, 0x1.d900p-47,
+ 0x1.bcc1e904bc1ffp-1, 0x1.2a00p-47,
+ 0x1.bdf69c3f3a16fp-1, -0x1.f780p-46,
+ 0x1.bf2c25bd71db8p-1, -0x1.0a00p-46,
+ 0x1.c06286141b2e9p-1, -0x1.1400p-46,
+ 0x1.c199bdd8552e0p-1, 0x1.be00p-47,
+ 0x1.c2d1cd9fa64eep-1, -0x1.9400p-47,
+ 0x1.c40ab5fffd02fp-1, -0x1.ed00p-47,
+ 0x1.c544778fafd15p-1, 0x1.9660p-44,
+ 0x1.c67f12e57d0cbp-1, -0x1.a100p-46,
+ 0x1.c7ba88988c1b6p-1, -0x1.8458p-42,
+ 0x1.c8f6d9406e733p-1, -0x1.a480p-46,
+ 0x1.ca3405751c4dfp-1, 0x1.b000p-51,
+ 0x1.cb720dcef9094p-1, 0x1.1400p-47,
+ 0x1.ccb0f2e6d1689p-1, 0x1.0200p-48,
+ 0x1.cdf0b555dc412p-1, 0x1.3600p-48,
+ 0x1.cf3155b5bab3bp-1, -0x1.6900p-47,
+ 0x1.d072d4a0789bcp-1, 0x1.9a00p-47,
+ 0x1.d1b532b08c8fap-1, -0x1.5e00p-46,
+ 0x1.d2f87080d8a85p-1, 0x1.d280p-46,
+ 0x1.d43c8eacaa203p-1, 0x1.1a00p-47,
+ 0x1.d5818dcfba491p-1, 0x1.f000p-50,
+ 0x1.d6c76e862e6a1p-1, -0x1.3a00p-47,
+ 0x1.d80e316c9834ep-1, -0x1.cd80p-47,
+ 0x1.d955d71ff6090p-1, 0x1.4c00p-48,
+ 0x1.da9e603db32aep-1, 0x1.f900p-48,
+ 0x1.dbe7cd63a8325p-1, 0x1.9800p-49,
+ 0x1.dd321f301b445p-1, -0x1.5200p-48,
+ 0x1.de7d5641c05bfp-1, -0x1.d700p-46,
+ 0x1.dfc97337b9aecp-1, -0x1.6140p-46,
+ 0x1.e11676b197d5ep-1, 0x1.b480p-47,
+ 0x1.e264614f5a3e7p-1, 0x1.0ce0p-43,
+ 0x1.e3b333b16ee5cp-1, 0x1.c680p-47,
+ 0x1.e502ee78b3fb4p-1, -0x1.9300p-47,
+ 0x1.e653924676d68p-1, -0x1.5000p-49,
+ 0x1.e7a51fbc74c44p-1, -0x1.7f80p-47,
+ 0x1.e8f7977cdb726p-1, -0x1.3700p-48,
+ 0x1.ea4afa2a490e8p-1, 0x1.5d00p-49,
+ 0x1.eb9f4867ccae4p-1, 0x1.61a0p-46,
+ 0x1.ecf482d8e680dp-1, 0x1.5500p-48,
+ 0x1.ee4aaa2188514p-1, 0x1.6400p-51,
+ 0x1.efa1bee615a13p-1, -0x1.e800p-49,
+ 0x1.f0f9c1cb64106p-1, -0x1.a880p-48,
+ 0x1.f252b376bb963p-1, -0x1.c900p-45,
+ 0x1.f3ac948dd7275p-1, 0x1.a000p-53,
+ 0x1.f50765b6e4524p-1, -0x1.4f00p-48,
+ 0x1.f6632798844fdp-1, 0x1.a800p-51,
+ 0x1.f7bfdad9cbe38p-1, 0x1.abc0p-48,
+ 0x1.f91d802243c82p-1, -0x1.4600p-50,
+ 0x1.fa7c1819e908ep-1, -0x1.b0c0p-47,
+ 0x1.fbdba3692d511p-1, -0x1.0e00p-51,
+ 0x1.fd3c22b8f7194p-1, -0x1.0de8p-46,
+ 0x1.fe9d96b2a23eep-1, 0x1.e430p-49,
+ 0x1.0000000000000p+0, 0x0.0000p+0,
+ 0x1.00b1afa5abcbep+0, -0x1.3400p-52,
+ 0x1.0163da9fb3303p+0, -0x1.2170p-46,
+ 0x1.02168143b0282p+0, 0x1.a400p-52,
+ 0x1.02c9a3e77806cp+0, 0x1.f980p-49,
+ 0x1.037d42e11bbcap+0, -0x1.7400p-51,
+ 0x1.04315e86e7f89p+0, 0x1.8300p-50,
+ 0x1.04e5f72f65467p+0, -0x1.a3f0p-46,
+ 0x1.059b0d315855ap+0, -0x1.2840p-47,
+ 0x1.0650a0e3c1f95p+0, 0x1.1600p-48,
+ 0x1.0706b29ddf71ap+0, 0x1.5240p-46,
+ 0x1.07bd42b72a82dp+0, -0x1.9a00p-49,
+ 0x1.0874518759bd0p+0, 0x1.6400p-49,
+ 0x1.092bdf66607c8p+0, -0x1.0780p-47,
+ 0x1.09e3ecac6f383p+0, -0x1.8000p-54,
+ 0x1.0a9c79b1f3930p+0, 0x1.fa00p-48,
+ 0x1.0b5586cf988fcp+0, -0x1.ac80p-48,
+ 0x1.0c0f145e46c8ap+0, 0x1.9c00p-50,
+ 0x1.0cc922b724816p+0, 0x1.5200p-47,
+ 0x1.0d83b23395dd8p+0, -0x1.ad00p-48,
+ 0x1.0e3ec32d3d1f3p+0, 0x1.bac0p-46,
+ 0x1.0efa55fdfa9a6p+0, -0x1.4e80p-47,
+ 0x1.0fb66affed2f0p+0, -0x1.d300p-47,
+ 0x1.1073028d7234bp+0, 0x1.1500p-48,
+ 0x1.11301d0125b5bp+0, 0x1.c000p-49,
+ 0x1.11edbab5e2af9p+0, 0x1.6bc0p-46,
+ 0x1.12abdc06c31d5p+0, 0x1.8400p-49,
+ 0x1.136a814f2047dp+0, -0x1.ed00p-47,
+ 0x1.1429aaea92de9p+0, 0x1.8e00p-49,
+ 0x1.14e95934f3138p+0, 0x1.b400p-49,
+ 0x1.15a98c8a58e71p+0, 0x1.5300p-47,
+ 0x1.166a45471c3dfp+0, 0x1.3380p-47,
+ 0x1.172b83c7d5211p+0, 0x1.8d40p-45,
+ 0x1.17ed48695bb9fp+0, -0x1.5d00p-47,
+ 0x1.18af9388c8d93p+0, -0x1.c880p-46,
+ 0x1.1972658375d66p+0, 0x1.1f00p-46,
+ 0x1.1a35beb6fcba7p+0, 0x1.0480p-46,
+ 0x1.1af99f81387e3p+0, -0x1.7390p-43,
+ 0x1.1bbe084045d54p+0, 0x1.4e40p-45,
+ 0x1.1c82f95281c43p+0, -0x1.a200p-47,
+ 0x1.1d4873168b9b2p+0, 0x1.3800p-49,
+ 0x1.1e0e75eb44031p+0, 0x1.ac00p-49,
+ 0x1.1ed5022fcd938p+0, 0x1.1900p-47,
+ 0x1.1f9c18438cdf7p+0, -0x1.b780p-46,
+ 0x1.2063b88628d8fp+0, 0x1.d940p-45,
+ 0x1.212be3578a81ep+0, 0x1.8000p-50,
+ 0x1.21f49917ddd41p+0, 0x1.b340p-45,
+ 0x1.22bdda2791323p+0, 0x1.9f80p-46,
+ 0x1.2387a6e7561e7p+0, -0x1.9c80p-46,
+ 0x1.2451ffb821427p+0, 0x1.2300p-47,
+ 0x1.251ce4fb2a602p+0, -0x1.3480p-46,
+ 0x1.25e85711eceb0p+0, 0x1.2700p-46,
+ 0x1.26b4565e27d16p+0, 0x1.1d00p-46,
+ 0x1.2780e341de00fp+0, 0x1.1ee0p-44,
+ 0x1.284dfe1f5633ep+0, -0x1.4c00p-46,
+ 0x1.291ba7591bb30p+0, -0x1.3d80p-46,
+ 0x1.29e9df51fdf09p+0, 0x1.8b00p-47,
+ 0x1.2ab8a66d10e9bp+0, -0x1.27c0p-45,
+ 0x1.2b87fd0dada3ap+0, 0x1.a340p-45,
+ 0x1.2c57e39771af9p+0, -0x1.0800p-46,
+ 0x1.2d285a6e402d9p+0, -0x1.ed00p-47,
+ 0x1.2df961f641579p+0, -0x1.4200p-48,
+ 0x1.2ecafa93e2ecfp+0, -0x1.4980p-45,
+ 0x1.2f9d24abd8822p+0, -0x1.6300p-46,
+ 0x1.306fe0a31b625p+0, -0x1.2360p-44,
+ 0x1.31432edeea50bp+0, -0x1.0df8p-40,
+ 0x1.32170fc4cd7b8p+0, -0x1.2480p-45,
+ 0x1.32eb83ba8e9a2p+0, -0x1.5980p-45,
+ 0x1.33c08b2641766p+0, 0x1.ed00p-46,
+ 0x1.3496266e3fa27p+0, -0x1.c000p-50,
+ 0x1.356c55f929f0fp+0, -0x1.0d80p-44,
+ 0x1.36431a2de88b9p+0, 0x1.2c80p-45,
+ 0x1.371a7373aaa39p+0, 0x1.0600p-45,
+ 0x1.37f26231e74fep+0, -0x1.6600p-46,
+ 0x1.38cae6d05d838p+0, -0x1.ae00p-47,
+ 0x1.39a401b713ec3p+0, -0x1.4720p-43,
+ 0x1.3a7db34e5a020p+0, 0x1.8200p-47,
+ 0x1.3b57fbfec6e95p+0, 0x1.e800p-44,
+ 0x1.3c32dc313a8f2p+0, 0x1.f800p-49,
+ 0x1.3d0e544ede122p+0, -0x1.7a00p-46,
+ 0x1.3dea64c1234bbp+0, 0x1.6300p-45,
+ 0x1.3ec70df1c4eccp+0, -0x1.8a60p-43,
+ 0x1.3fa4504ac7e8cp+0, -0x1.cdc0p-44,
+ 0x1.40822c367a0bbp+0, 0x1.5b80p-45,
+ 0x1.4160a21f72e95p+0, 0x1.ec00p-46,
+ 0x1.423fb27094646p+0, -0x1.3600p-46,
+ 0x1.431f5d950a920p+0, 0x1.3980p-45,
+ 0x1.43ffa3f84b9ebp+0, 0x1.a000p-48,
+ 0x1.44e0860618919p+0, -0x1.6c00p-48,
+ 0x1.45c2042a7d201p+0, -0x1.bc00p-47,
+ 0x1.46a41ed1d0016p+0, -0x1.2800p-46,
+ 0x1.4786d668b3326p+0, 0x1.0e00p-44,
+ 0x1.486a2b5c13c00p+0, -0x1.d400p-45,
+ 0x1.494e1e192af04p+0, 0x1.c200p-47,
+ 0x1.4a32af0d7d372p+0, -0x1.e500p-46,
+ 0x1.4b17dea6db801p+0, 0x1.7800p-47,
+ 0x1.4bfdad53629e1p+0, -0x1.3800p-46,
+ 0x1.4ce41b817c132p+0, 0x1.0800p-47,
+ 0x1.4dcb299fddddbp+0, 0x1.c700p-45,
+ 0x1.4eb2d81d8ab96p+0, -0x1.ce00p-46,
+ 0x1.4f9b2769d2d02p+0, 0x1.9200p-46,
+ 0x1.508417f4531c1p+0, -0x1.8c00p-47,
+ 0x1.516daa2cf662ap+0, -0x1.a000p-48,
+ 0x1.5257de83f51eap+0, 0x1.a080p-43,
+ 0x1.5342b569d4edap+0, -0x1.6d80p-45,
+ 0x1.542e2f4f6ac1ap+0, -0x1.2440p-44,
+ 0x1.551a4ca5d94dbp+0, 0x1.83c0p-43,
+ 0x1.56070dde9116bp+0, 0x1.4b00p-45,
+ 0x1.56f4736b529dep+0, 0x1.15a0p-43,
+ 0x1.57e27dbe2c40ep+0, -0x1.9e00p-45,
+ 0x1.58d12d497c76fp+0, -0x1.3080p-45,
+ 0x1.59c0827ff0b4cp+0, 0x1.dec0p-43,
+ 0x1.5ab07dd485427p+0, -0x1.4000p-51,
+ 0x1.5ba11fba87af4p+0, 0x1.0080p-44,
+ 0x1.5c9268a59460bp+0, -0x1.6c80p-45,
+ 0x1.5d84590998e3fp+0, 0x1.69a0p-43,
+ 0x1.5e76f15ad20e1p+0, -0x1.b400p-46,
+ 0x1.5f6a320dcebcap+0, 0x1.7700p-46,
+ 0x1.605e1b976dcb8p+0, 0x1.6f80p-45,
+ 0x1.6152ae6cdf715p+0, 0x1.1000p-47,
+ 0x1.6247eb03a5531p+0, -0x1.5d00p-46,
+ 0x1.633dd1d1929b5p+0, -0x1.2d00p-46,
+ 0x1.6434634ccc313p+0, -0x1.a800p-49,
+ 0x1.652b9febc8efap+0, -0x1.8600p-45,
+ 0x1.6623882553397p+0, 0x1.1fe0p-40,
+ 0x1.671c1c708328ep+0, -0x1.7200p-44,
+ 0x1.68155d44ca97ep+0, 0x1.6800p-49,
+ 0x1.690f4b19e9471p+0, -0x1.9780p-45,
+};
+
+/*
+ * exp2(x): compute the base 2 exponential of x
+ *
+ * Accuracy: Peak error < 0.503 ulp for normalized results.
+ *
+ * Method: (accurate tables)
+ *
+ * Reduce x:
+ * x = 2**k + y, for integer k and |y| <= 1/2.
+ * Thus we have exp2(x) = 2**k * exp2(y).
+ *
+ * Reduce y:
+ * y = i/TBLSIZE + z - eps[i] for integer i near y * TBLSIZE.
+ * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z - eps[i]),
+ * with |z - eps[i]| <= 2**-9 + 2**-39 for the table used.
+ *
+ * We compute exp2(i/TBLSIZE) via table lookup and exp2(z - eps[i]) via
+ * a degree-5 minimax polynomial with maximum error under 1.3 * 2**-61.
+ * The values in exp2t[] and eps[] are chosen such that
+ * exp2t[i] = exp2(i/TBLSIZE + eps[i]), and eps[i] is a small offset such
+ * that exp2t[i] is accurate to 2**-64.
+ *
+ * Note that the range of i is +-TBLSIZE/2, so we actually index the tables
+ * by i0 = i + TBLSIZE/2. For cache efficiency, exp2t[] and eps[] are
+ * virtual tables, interleaved in the real table tbl[].
+ *
+ * This method is due to Gal, with many details due to Gal and Bachelis:
+ *
+ * Gal, S. and Bachelis, B. An Accurate Elementary Mathematical Library
+ * for the IEEE Floating Point Standard. TOMS 17(1), 26-46 (1991).
+ */
+double
+exp2(double x)
+{
+ double r, t, twopk, twopkp1000, z;
+ uint32_t hx, ix, lx, i0;
+ int k;
+
+ /* Filter out exceptional cases. */
+ GET_HIGH_WORD(hx,x);
+ ix = hx & 0x7fffffff; /* high word of |x| */
+ if(ix >= 0x40900000) { /* |x| >= 1024 */
+ if(ix >= 0x7ff00000) {
+ GET_LOW_WORD(lx,x);
+ if(((ix & 0xfffff) | lx) != 0 || (hx & 0x80000000) == 0)
+ return (x + x); /* x is NaN or +Inf */
+ else
+ return (0.0); /* x is -Inf */
+ }
+ if(x >= 0x1.0p10)
+ return (huge * huge); /* overflow */
+ if(x <= -0x1.0ccp10)
+ return (twom1000 * twom1000); /* underflow */
+ } else if (ix < 0x3c900000) { /* |x| < 0x1p-54 */
+ return (1.0 + x);
+ }
+
+ /* Reduce x, computing z, i0, and k. */
+ STRICT_ASSIGN(double, t, x + redux);
+ GET_LOW_WORD(i0, t);
+ i0 += TBLSIZE / 2;
+ k = (i0 >> TBLBITS) << 20;
+ i0 = (i0 & (TBLSIZE - 1)) << 1;
+ t -= redux;
+ z = x - t;
+
+ /* Compute r = exp2(y) = exp2t[i0] * p(z - eps[i]). */
+ t = tbl[i0]; /* exp2t[i0] */
+ z -= tbl[i0 + 1]; /* eps[i0] */
+ if (k >= -(1021 << 20))
+ INSERT_WORDS(twopk, 0x3ff00000 + k, 0);
+ else
+ INSERT_WORDS(twopkp1000, 0x3ff00000 + k + (1000 << 20), 0);
+ r = t + t * z * (P1 + z * (P2 + z * (P3 + z * (P4 + z * P5))));
+
+ /* Scale by 2**(k>>20). */
+ if(k >= -(1021 << 20)) {
+ if (k == 1024 << 20)
+ return (r * 2.0 * 0x1p1023);
+ return (r * twopk);
+ } else {
+ return (r * twopkp1000 * twom1000);
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(exp2, exp2l);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_exp2f.c b/libm/upstream-freebsd/lib/msun/src/s_exp2f.c
new file mode 100644
index 0000000..9ac7c1f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_exp2f.c
@@ -0,0 +1,137 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+#define TBLBITS 4
+#define TBLSIZE (1 << TBLBITS)
+
+static const float
+ redux = 0x1.8p23f / TBLSIZE,
+ P1 = 0x1.62e430p-1f,
+ P2 = 0x1.ebfbe0p-3f,
+ P3 = 0x1.c6b348p-5f,
+ P4 = 0x1.3b2c9cp-7f;
+
+static volatile float
+ huge = 0x1p100f,
+ twom100 = 0x1p-100f;
+
+static const double exp2ft[TBLSIZE] = {
+ 0x1.6a09e667f3bcdp-1,
+ 0x1.7a11473eb0187p-1,
+ 0x1.8ace5422aa0dbp-1,
+ 0x1.9c49182a3f090p-1,
+ 0x1.ae89f995ad3adp-1,
+ 0x1.c199bdd85529cp-1,
+ 0x1.d5818dcfba487p-1,
+ 0x1.ea4afa2a490dap-1,
+ 0x1.0000000000000p+0,
+ 0x1.0b5586cf9890fp+0,
+ 0x1.172b83c7d517bp+0,
+ 0x1.2387a6e756238p+0,
+ 0x1.306fe0a31b715p+0,
+ 0x1.3dea64c123422p+0,
+ 0x1.4bfdad5362a27p+0,
+ 0x1.5ab07dd485429p+0,
+};
+
+/*
+ * exp2f(x): compute the base 2 exponential of x
+ *
+ * Accuracy: Peak error < 0.501 ulp; location of peak: -0.030110927.
+ *
+ * Method: (equally-spaced tables)
+ *
+ * Reduce x:
+ * x = 2**k + y, for integer k and |y| <= 1/2.
+ * Thus we have exp2f(x) = 2**k * exp2(y).
+ *
+ * Reduce y:
+ * y = i/TBLSIZE + z for integer i near y * TBLSIZE.
+ * Thus we have exp2(y) = exp2(i/TBLSIZE) * exp2(z),
+ * with |z| <= 2**-(TBLSIZE+1).
+ *
+ * We compute exp2(i/TBLSIZE) via table lookup and exp2(z) via a
+ * degree-4 minimax polynomial with maximum error under 1.4 * 2**-33.
+ * Using double precision for everything except the reduction makes
+ * roundoff error insignificant and simplifies the scaling step.
+ *
+ * This method is due to Tang, but I do not use his suggested parameters:
+ *
+ * Tang, P. Table-driven Implementation of the Exponential Function
+ * in IEEE Floating-Point Arithmetic. TOMS 15(2), 144-157 (1989).
+ */
+float
+exp2f(float x)
+{
+ double tv, twopk, u, z;
+ float t;
+ uint32_t hx, ix, i0;
+ int32_t k;
+
+ /* Filter out exceptional cases. */
+ GET_FLOAT_WORD(hx, x);
+ ix = hx & 0x7fffffff; /* high word of |x| */
+ if(ix >= 0x43000000) { /* |x| >= 128 */
+ if(ix >= 0x7f800000) {
+ if ((ix & 0x7fffff) != 0 || (hx & 0x80000000) == 0)
+ return (x + x); /* x is NaN or +Inf */
+ else
+ return (0.0); /* x is -Inf */
+ }
+ if(x >= 0x1.0p7f)
+ return (huge * huge); /* overflow */
+ if(x <= -0x1.2cp7f)
+ return (twom100 * twom100); /* underflow */
+ } else if (ix <= 0x33000000) { /* |x| <= 0x1p-25 */
+ return (1.0f + x);
+ }
+
+ /* Reduce x, computing z, i0, and k. */
+ STRICT_ASSIGN(float, t, x + redux);
+ GET_FLOAT_WORD(i0, t);
+ i0 += TBLSIZE / 2;
+ k = (i0 >> TBLBITS) << 20;
+ i0 &= TBLSIZE - 1;
+ t -= redux;
+ z = x - t;
+ INSERT_WORDS(twopk, 0x3ff00000 + k, 0);
+
+ /* Compute r = exp2(y) = exp2ft[i0] * p(z). */
+ tv = exp2ft[i0];
+ u = tv * z;
+ tv = tv + u * (P1 + z * P2) + u * (z * z) * (P3 + z * P4);
+
+ /* Scale by 2**(k>>20). */
+ return (tv * twopk);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_expm1.c b/libm/upstream-freebsd/lib/msun/src/s_expm1.c
new file mode 100644
index 0000000..37998a3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_expm1.c
@@ -0,0 +1,222 @@
+/* @(#)s_expm1.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* expm1(x)
+ * Returns exp(x)-1, the exponential of x minus 1.
+ *
+ * Method
+ * 1. Argument reduction:
+ * Given x, find r and integer k such that
+ *
+ * x = k*ln2 + r, |r| <= 0.5*ln2 ~ 0.34658
+ *
+ * Here a correction term c will be computed to compensate
+ * the error in r when rounded to a floating-point number.
+ *
+ * 2. Approximating expm1(r) by a special rational function on
+ * the interval [0,0.34658]:
+ * Since
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 - r^4/360 + ...
+ * we define R1(r*r) by
+ * r*(exp(r)+1)/(exp(r)-1) = 2+ r^2/6 * R1(r*r)
+ * That is,
+ * R1(r**2) = 6/r *((exp(r)+1)/(exp(r)-1) - 2/r)
+ * = 6/r * ( 1 + 2.0*(1/(exp(r)-1) - 1/r))
+ * = 1 - r^2/60 + r^4/2520 - r^6/100800 + ...
+ * We use a special Reme algorithm on [0,0.347] to generate
+ * a polynomial of degree 5 in r*r to approximate R1. The
+ * maximum error of this polynomial approximation is bounded
+ * by 2**-61. In other words,
+ * R1(z) ~ 1.0 + Q1*z + Q2*z**2 + Q3*z**3 + Q4*z**4 + Q5*z**5
+ * where Q1 = -1.6666666666666567384E-2,
+ * Q2 = 3.9682539681370365873E-4,
+ * Q3 = -9.9206344733435987357E-6,
+ * Q4 = 2.5051361420808517002E-7,
+ * Q5 = -6.2843505682382617102E-9;
+ * z = r*r,
+ * with error bounded by
+ * | 5 | -61
+ * | 1.0+Q1*z+...+Q5*z - R1(z) | <= 2
+ * | |
+ *
+ * expm1(r) = exp(r)-1 is then computed by the following
+ * specific way which minimize the accumulation rounding error:
+ * 2 3
+ * r r [ 3 - (R1 + R1*r/2) ]
+ * expm1(r) = r + --- + --- * [--------------------]
+ * 2 2 [ 6 - r*(3 - R1*r/2) ]
+ *
+ * To compensate the error in the argument reduction, we use
+ * expm1(r+c) = expm1(r) + c + expm1(r)*c
+ * ~ expm1(r) + c + r*c
+ * Thus c+r*c will be added in as the correction terms for
+ * expm1(r+c). Now rearrange the term to avoid optimization
+ * screw up:
+ * ( 2 2 )
+ * ({ ( r [ R1 - (3 - R1*r/2) ] ) } r )
+ * expm1(r+c)~r - ({r*(--- * [--------------------]-c)-c} - --- )
+ * ({ ( 2 [ 6 - r*(3 - R1*r/2) ] ) } 2 )
+ * ( )
+ *
+ * = r - E
+ * 3. Scale back to obtain expm1(x):
+ * From step 1, we have
+ * expm1(x) = either 2^k*[expm1(r)+1] - 1
+ * = or 2^k*[expm1(r) + (1-2^-k)]
+ * 4. Implementation notes:
+ * (A). To save one multiplication, we scale the coefficient Qi
+ * to Qi*2^i, and replace z by (x^2)/2.
+ * (B). To achieve maximum accuracy, we compute expm1(x) by
+ * (i) if x < -56*ln2, return -1.0, (raise inexact if x!=inf)
+ * (ii) if k=0, return r-E
+ * (iii) if k=-1, return 0.5*(r-E)-0.5
+ * (iv) if k=1 if r < -0.25, return 2*((r+0.5)- E)
+ * else return 1.0+2.0*(r-E);
+ * (v) if (k<-2||k>56) return 2^k(1-(E-r)) - 1 (or exp(x)-1)
+ * (vi) if k <= 20, return 2^k((1-2^-k)-(E-r)), else
+ * (vii) return 2^k(1-((E+2^-k)-r))
+ *
+ * Special cases:
+ * expm1(INF) is INF, expm1(NaN) is NaN;
+ * expm1(-INF) is -1, and
+ * for finite argument, only expm1(0)=0 is exact.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Misc. info.
+ * For IEEE double
+ * if x > 7.09782712893383973096e+02 then expm1(x) overflow
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+one = 1.0,
+tiny = 1.0e-300,
+o_threshold = 7.09782712893383973096e+02,/* 0x40862E42, 0xFEFA39EF */
+ln2_hi = 6.93147180369123816490e-01,/* 0x3fe62e42, 0xfee00000 */
+ln2_lo = 1.90821492927058770002e-10,/* 0x3dea39ef, 0x35793c76 */
+invln2 = 1.44269504088896338700e+00,/* 0x3ff71547, 0x652b82fe */
+/* Scaled Q's: Qn_here = 2**n * Qn_above, for R(2*z) where z = hxs = x*x/2: */
+Q1 = -3.33333333333331316428e-02, /* BFA11111 111110F4 */
+Q2 = 1.58730158725481460165e-03, /* 3F5A01A0 19FE5585 */
+Q3 = -7.93650757867487942473e-05, /* BF14CE19 9EAADBB7 */
+Q4 = 4.00821782732936239552e-06, /* 3ED0CFCA 86E65239 */
+Q5 = -2.01099218183624371326e-07; /* BE8AFDB7 6E09C32D */
+
+static volatile double huge = 1.0e+300;
+
+double
+expm1(double x)
+{
+ double y,hi,lo,c,t,e,hxs,hfx,r1,twopk;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_HIGH_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4043687A) { /* if |x|>=56*ln2 */
+ if(hx >= 0x40862E42) { /* if |x|>=709.78... */
+ if(hx>=0x7ff00000) {
+ u_int32_t low;
+ GET_LOW_WORD(low,x);
+ if(((hx&0xfffff)|low)!=0)
+ return x+x; /* NaN */
+ else return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ }
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -56*ln2, return -1.0 with inexact */
+ if(x+tiny<0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?0.5:-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ STRICT_ASSIGN(double, x, hi - lo);
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x3c900000) { /* when |x|<2**-54, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = 0.5*x;
+ hxs = x*hfx;
+ r1 = one+hxs*(Q1+hxs*(Q2+hxs*(Q3+hxs*(Q4+hxs*Q5))));
+ t = 3.0-r1*hfx;
+ e = hxs*((r1-t)/(6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ INSERT_WORDS(twopk,0x3ff00000+(k<<20),0); /* 2^k */
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return 0.5*(x-e)-0.5;
+ if(k==1) {
+ if(x < -0.25) return -2.0*(e-(x+0.5));
+ else return one+2.0*(x-e);
+ }
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ y = one-(e-x);
+ if (k == 1024) y = y*2.0*0x1p1023;
+ else y = y*twopk;
+ return y-one;
+ }
+ t = one;
+ if(k<20) {
+ SET_HIGH_WORD(t,0x3ff00000 - (0x200000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ y = y*twopk;
+ } else {
+ SET_HIGH_WORD(t,((0x3ff-k)<<20)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ y = y*twopk;
+ }
+ }
+ return y;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(expm1, expm1l);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_expm1f.c b/libm/upstream-freebsd/lib/msun/src/s_expm1f.c
new file mode 100644
index 0000000..c0a3934
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_expm1f.c
@@ -0,0 +1,124 @@
+/* s_expm1f.c -- float version of s_expm1.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+one = 1.0,
+tiny = 1.0e-30,
+o_threshold = 8.8721679688e+01,/* 0x42b17180 */
+ln2_hi = 6.9313812256e-01,/* 0x3f317180 */
+ln2_lo = 9.0580006145e-06,/* 0x3717f7d1 */
+invln2 = 1.4426950216e+00,/* 0x3fb8aa3b */
+/*
+ * Domain [-0.34568, 0.34568], range ~[-6.694e-10, 6.696e-10]:
+ * |6 / x * (1 + 2 * (1 / (exp(x) - 1) - 1 / x)) - q(x)| < 2**-30.04
+ * Scaled coefficients: Qn_here = 2**n * Qn_for_q (see s_expm1.c):
+ */
+Q1 = -3.3333212137e-2, /* -0x888868.0p-28 */
+Q2 = 1.5807170421e-3; /* 0xcf3010.0p-33 */
+
+static volatile float huge = 1.0e+30;
+
+float
+expm1f(float x)
+{
+ float y,hi,lo,c,t,e,hxs,hfx,r1,twopk;
+ int32_t k,xsb;
+ u_int32_t hx;
+
+ GET_FLOAT_WORD(hx,x);
+ xsb = hx&0x80000000; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out huge and non-finite argument */
+ if(hx >= 0x4195b844) { /* if |x|>=27*ln2 */
+ if(hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if(hx>0x7f800000)
+ return x+x; /* NaN */
+ if(hx==0x7f800000)
+ return (xsb==0)? x:-1.0;/* exp(+-inf)={inf,-1} */
+ if(x > o_threshold) return huge*huge; /* overflow */
+ }
+ if(xsb!=0) { /* x < -27*ln2, return -1.0 with inexact */
+ if(x+tiny<(float)0.0) /* raise inexact */
+ return tiny-one; /* return -1 */
+ }
+ }
+
+ /* argument reduction */
+ if(hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if(hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ if(xsb==0)
+ {hi = x - ln2_hi; lo = ln2_lo; k = 1;}
+ else
+ {hi = x + ln2_hi; lo = -ln2_lo; k = -1;}
+ } else {
+ k = invln2*x+((xsb==0)?(float)0.5:(float)-0.5);
+ t = k;
+ hi = x - t*ln2_hi; /* t*ln2_hi is exact here */
+ lo = t*ln2_lo;
+ }
+ STRICT_ASSIGN(float, x, hi - lo);
+ c = (hi-x)-lo;
+ }
+ else if(hx < 0x33000000) { /* when |x|<2**-25, return x */
+ t = huge+x; /* return x with inexact flags when x!=0 */
+ return x - (t-(huge+x));
+ }
+ else k = 0;
+
+ /* x is now in primary range */
+ hfx = (float)0.5*x;
+ hxs = x*hfx;
+ r1 = one+hxs*(Q1+hxs*Q2);
+ t = (float)3.0-r1*hfx;
+ e = hxs*((r1-t)/((float)6.0 - x*t));
+ if(k==0) return x - (x*e-hxs); /* c is 0 */
+ else {
+ SET_FLOAT_WORD(twopk,0x3f800000+(k<<23)); /* 2^k */
+ e = (x*(e-c)-c);
+ e -= hxs;
+ if(k== -1) return (float)0.5*(x-e)-(float)0.5;
+ if(k==1) {
+ if(x < (float)-0.25) return -(float)2.0*(e-(x+(float)0.5));
+ else return one+(float)2.0*(x-e);
+ }
+ if (k <= -2 || k>56) { /* suffice to return exp(x)-1 */
+ y = one-(e-x);
+ if (k == 128) y = y*2.0F*0x1p127F;
+ else y = y*twopk;
+ return y-one;
+ }
+ t = one;
+ if(k<23) {
+ SET_FLOAT_WORD(t,0x3f800000 - (0x1000000>>k)); /* t=1-2^-k */
+ y = t-(e-x);
+ y = y*twopk;
+ } else {
+ SET_FLOAT_WORD(t,((0x7f-k)<<23)); /* 2^-k */
+ y = x-(e+t);
+ y += one;
+ y = y*twopk;
+ }
+ }
+ return y;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fabsl.c b/libm/upstream-freebsd/lib/msun/src/s_fabsl.c
new file mode 100644
index 0000000..29831d2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fabsl.c
@@ -0,0 +1,43 @@
+/*-
+ * Copyright (c) 2003 Dag-Erling Smørgrav
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer
+ * in this position and unchanged.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ * 3. The name of the author may not be used to endorse or promote products
+ * derived from this software without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+fabsl(long double x)
+{
+ union IEEEl2bits u;
+
+ u.e = x;
+ u.bits.sign = 0;
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fdim.c b/libm/upstream-freebsd/lib/msun/src/s_fdim.c
new file mode 100644
index 0000000..2f347fd
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fdim.c
@@ -0,0 +1,46 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#define DECL(type, fn) \
+type \
+fn(type x, type y) \
+{ \
+ \
+ if (isnan(x)) \
+ return (x); \
+ if (isnan(y)) \
+ return (y); \
+ return (x > y ? x - y : 0.0); \
+}
+
+DECL(double, fdim)
+DECL(float, fdimf)
+DECL(long double, fdiml)
diff --git a/libm/upstream-freebsd/lib/msun/src/s_finite.c b/libm/upstream-freebsd/lib/msun/src/s_finite.c
new file mode 100644
index 0000000..4c51352
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_finite.c
@@ -0,0 +1,29 @@
+/* @(#)s_finite.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * finite(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+ int finite(double x)
+{
+ int32_t hx;
+ GET_HIGH_WORD(hx,x);
+ return (int)((u_int32_t)((hx&0x7fffffff)-0x7ff00000)>>31);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_finitef.c b/libm/upstream-freebsd/lib/msun/src/s_finitef.c
new file mode 100644
index 0000000..c62239e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_finitef.c
@@ -0,0 +1,32 @@
+/* s_finitef.c -- float version of s_finite.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * finitef(x) returns 1 is x is finite, else 0;
+ * no branching!
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+ int finitef(float x)
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ return (int)((u_int32_t)((ix&0x7fffffff)-0x7f800000)>>31);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_floor.c b/libm/upstream-freebsd/lib/msun/src/s_floor.c
new file mode 100644
index 0000000..65f696a
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_floor.c
@@ -0,0 +1,78 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * floor(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floor(x).
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double huge = 1.0e300;
+
+double
+floor(double x)
+{
+ int32_t i0,i1,j0;
+ u_int32_t i,j;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=i1=0;}
+ else if(((i0&0x7fffffff)|i1)!=0)
+ { i0=0xbff00000;i1=0;}
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00100000)>>j0;
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ if(i0<0) {
+ if(j0==20) i0+=1;
+ else {
+ j = i1+(1<<(52-j0));
+ if(j<i1) i0 +=1 ; /* got a carry */
+ i1=j;
+ }
+ }
+ i1 &= (~i);
+ }
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(floor, floorl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_floorf.c b/libm/upstream-freebsd/lib/msun/src/s_floorf.c
new file mode 100644
index 0000000..6b510de
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_floorf.c
@@ -0,0 +1,61 @@
+/* s_floorf.c -- float version of s_floor.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * floorf(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorf(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const float huge = 1.0e30;
+
+float
+floorf(float x)
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>(float)0.0) {/* return 0*sign(x) if |x|<1 */
+ if(i0>=0) {i0=0;}
+ else if((i0&0x7fffffff)!=0)
+ { i0=0xbf800000;}
+ }
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>(float)0.0) { /* raise inexact flag */
+ if(i0<0) i0 += (0x00800000)>>j0;
+ i0 &= (~i);
+ }
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_floorl.c b/libm/upstream-freebsd/lib/msun/src/s_floorl.c
new file mode 100644
index 0000000..6cec3e7
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_floorl.c
@@ -0,0 +1,101 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * From: @(#)s_floor.c 5.1 93/09/24
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * floorl(x)
+ * Return x rounded toward -inf to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to floorl(x).
+ */
+
+#include <float.h>
+#include <math.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+
+#ifdef LDBL_IMPLICIT_NBIT
+#define MANH_SIZE (LDBL_MANH_SIZE + 1)
+#define INC_MANH(u, c) do { \
+ uint64_t o = u.bits.manh; \
+ u.bits.manh += (c); \
+ if (u.bits.manh < o) \
+ u.bits.exp++; \
+} while (0)
+#else
+#define MANH_SIZE LDBL_MANH_SIZE
+#define INC_MANH(u, c) do { \
+ uint64_t o = u.bits.manh; \
+ u.bits.manh += (c); \
+ if (u.bits.manh < o) { \
+ u.bits.exp++; \
+ u.bits.manh |= 1llu << (LDBL_MANH_SIZE - 1); \
+ } \
+} while (0)
+#endif
+
+static const long double huge = 1.0e300;
+
+long double
+floorl(long double x)
+{
+ union IEEEl2bits u = { .e = x };
+ int e = u.bits.exp - LDBL_MAX_EXP + 1;
+
+ if (e < MANH_SIZE - 1) {
+ if (e < 0) { /* raise inexact if x != 0 */
+ if (huge + x > 0.0)
+ if (u.bits.exp > 0 ||
+ (u.bits.manh | u.bits.manl) != 0)
+ u.e = u.bits.sign ? -1.0 : 0.0;
+ } else {
+ uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1);
+ if (((u.bits.manh & m) | u.bits.manl) == 0)
+ return (x); /* x is integral */
+ if (u.bits.sign) {
+#ifdef LDBL_IMPLICIT_NBIT
+ if (e == 0)
+ u.bits.exp++;
+ else
+#endif
+ INC_MANH(u, 1llu << (MANH_SIZE - e - 1));
+ }
+ if (huge + x > 0.0) { /* raise inexact flag */
+ u.bits.manh &= ~m;
+ u.bits.manl = 0;
+ }
+ }
+ } else if (e < LDBL_MANT_DIG - 1) {
+ uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1);
+ if ((u.bits.manl & m) == 0)
+ return (x); /* x is integral */
+ if (u.bits.sign) {
+ if (e == MANH_SIZE - 1)
+ INC_MANH(u, 1);
+ else {
+ uint64_t o = u.bits.manl;
+ u.bits.manl += 1llu << (LDBL_MANT_DIG - e - 1);
+ if (u.bits.manl < o) /* got a carry */
+ INC_MANH(u, 1);
+ }
+ }
+ if (huge + x > 0.0) /* raise inexact flag */
+ u.bits.manl &= ~m;
+ }
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fma.c b/libm/upstream-freebsd/lib/msun/src/s_fma.c
new file mode 100644
index 0000000..b1066c2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fma.c
@@ -0,0 +1,288 @@
+/*-
+ * Copyright (c) 2005-2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <fenv.h>
+#include <float.h>
+#include <math.h>
+
+#include "math_private.h"
+
+/*
+ * A struct dd represents a floating-point number with twice the precision
+ * of a double. We maintain the invariant that "hi" stores the 53 high-order
+ * bits of the result.
+ */
+struct dd {
+ double hi;
+ double lo;
+};
+
+/*
+ * Compute a+b exactly, returning the exact result in a struct dd. We assume
+ * that both a and b are finite, but make no assumptions about their relative
+ * magnitudes.
+ */
+static inline struct dd
+dd_add(double a, double b)
+{
+ struct dd ret;
+ double s;
+
+ ret.hi = a + b;
+ s = ret.hi - a;
+ ret.lo = (a - (ret.hi - s)) + (b - s);
+ return (ret);
+}
+
+/*
+ * Compute a+b, with a small tweak: The least significant bit of the
+ * result is adjusted into a sticky bit summarizing all the bits that
+ * were lost to rounding. This adjustment negates the effects of double
+ * rounding when the result is added to another number with a higher
+ * exponent. For an explanation of round and sticky bits, see any reference
+ * on FPU design, e.g.,
+ *
+ * J. Coonen. An Implementation Guide to a Proposed Standard for
+ * Floating-Point Arithmetic. Computer, vol. 13, no. 1, Jan 1980.
+ */
+static inline double
+add_adjusted(double a, double b)
+{
+ struct dd sum;
+ uint64_t hibits, lobits;
+
+ sum = dd_add(a, b);
+ if (sum.lo != 0) {
+ EXTRACT_WORD64(hibits, sum.hi);
+ if ((hibits & 1) == 0) {
+ /* hibits += (int)copysign(1.0, sum.hi * sum.lo) */
+ EXTRACT_WORD64(lobits, sum.lo);
+ hibits += 1 - ((hibits ^ lobits) >> 62);
+ INSERT_WORD64(sum.hi, hibits);
+ }
+ }
+ return (sum.hi);
+}
+
+/*
+ * Compute ldexp(a+b, scale) with a single rounding error. It is assumed
+ * that the result will be subnormal, and care is taken to ensure that
+ * double rounding does not occur.
+ */
+static inline double
+add_and_denormalize(double a, double b, int scale)
+{
+ struct dd sum;
+ uint64_t hibits, lobits;
+ int bits_lost;
+
+ sum = dd_add(a, b);
+
+ /*
+ * If we are losing at least two bits of accuracy to denormalization,
+ * then the first lost bit becomes a round bit, and we adjust the
+ * lowest bit of sum.hi to make it a sticky bit summarizing all the
+ * bits in sum.lo. With the sticky bit adjusted, the hardware will
+ * break any ties in the correct direction.
+ *
+ * If we are losing only one bit to denormalization, however, we must
+ * break the ties manually.
+ */
+ if (sum.lo != 0) {
+ EXTRACT_WORD64(hibits, sum.hi);
+ bits_lost = -((int)(hibits >> 52) & 0x7ff) - scale + 1;
+ if ((bits_lost != 1) ^ (int)(hibits & 1)) {
+ /* hibits += (int)copysign(1.0, sum.hi * sum.lo) */
+ EXTRACT_WORD64(lobits, sum.lo);
+ hibits += 1 - (((hibits ^ lobits) >> 62) & 2);
+ INSERT_WORD64(sum.hi, hibits);
+ }
+ }
+ return (ldexp(sum.hi, scale));
+}
+
+/*
+ * Compute a*b exactly, returning the exact result in a struct dd. We assume
+ * that both a and b are normalized, so no underflow or overflow will occur.
+ * The current rounding mode must be round-to-nearest.
+ */
+static inline struct dd
+dd_mul(double a, double b)
+{
+ static const double split = 0x1p27 + 1.0;
+ struct dd ret;
+ double ha, hb, la, lb, p, q;
+
+ p = a * split;
+ ha = a - p;
+ ha += p;
+ la = a - ha;
+
+ p = b * split;
+ hb = b - p;
+ hb += p;
+ lb = b - hb;
+
+ p = ha * hb;
+ q = ha * lb + la * hb;
+
+ ret.hi = p + q;
+ ret.lo = p - ret.hi + q + la * lb;
+ return (ret);
+}
+
+/*
+ * Fused multiply-add: Compute x * y + z with a single rounding error.
+ *
+ * We use scaling to avoid overflow/underflow, along with the
+ * canonical precision-doubling technique adapted from:
+ *
+ * Dekker, T. A Floating-Point Technique for Extending the
+ * Available Precision. Numer. Math. 18, 224-242 (1971).
+ *
+ * This algorithm is sensitive to the rounding precision. FPUs such
+ * as the i387 must be set in double-precision mode if variables are
+ * to be stored in FP registers in order to avoid incorrect results.
+ * This is the default on FreeBSD, but not on many other systems.
+ *
+ * Hardware instructions should be used on architectures that support it,
+ * since this implementation will likely be several times slower.
+ */
+double
+fma(double x, double y, double z)
+{
+ double xs, ys, zs, adj;
+ struct dd xy, r;
+ int oround;
+ int ex, ey, ez;
+ int spread;
+
+ /*
+ * Handle special cases. The order of operations and the particular
+ * return values here are crucial in handling special cases involving
+ * infinities, NaNs, overflows, and signed zeroes correctly.
+ */
+ if (x == 0.0 || y == 0.0)
+ return (x * y + z);
+ if (z == 0.0)
+ return (x * y);
+ if (!isfinite(x) || !isfinite(y))
+ return (x * y + z);
+ if (!isfinite(z))
+ return (z);
+
+ xs = frexp(x, &ex);
+ ys = frexp(y, &ey);
+ zs = frexp(z, &ez);
+ oround = fegetround();
+ spread = ex + ey - ez;
+
+ /*
+ * If x * y and z are many orders of magnitude apart, the scaling
+ * will overflow, so we handle these cases specially. Rounding
+ * modes other than FE_TONEAREST are painful.
+ */
+ if (spread < -DBL_MANT_DIG) {
+ feraiseexcept(FE_INEXACT);
+ if (!isnormal(z))
+ feraiseexcept(FE_UNDERFLOW);
+ switch (oround) {
+ case FE_TONEAREST:
+ return (z);
+ case FE_TOWARDZERO:
+ if (x > 0.0 ^ y < 0.0 ^ z < 0.0)
+ return (z);
+ else
+ return (nextafter(z, 0));
+ case FE_DOWNWARD:
+ if (x > 0.0 ^ y < 0.0)
+ return (z);
+ else
+ return (nextafter(z, -INFINITY));
+ default: /* FE_UPWARD */
+ if (x > 0.0 ^ y < 0.0)
+ return (nextafter(z, INFINITY));
+ else
+ return (z);
+ }
+ }
+ if (spread <= DBL_MANT_DIG * 2)
+ zs = ldexp(zs, -spread);
+ else
+ zs = copysign(DBL_MIN, zs);
+
+ fesetround(FE_TONEAREST);
+ /* work around clang bug 8100 */
+ volatile double vxs = xs;
+
+ /*
+ * Basic approach for round-to-nearest:
+ *
+ * (xy.hi, xy.lo) = x * y (exact)
+ * (r.hi, r.lo) = xy.hi + z (exact)
+ * adj = xy.lo + r.lo (inexact; low bit is sticky)
+ * result = r.hi + adj (correctly rounded)
+ */
+ xy = dd_mul(vxs, ys);
+ r = dd_add(xy.hi, zs);
+
+ spread = ex + ey;
+
+ if (r.hi == 0.0) {
+ /*
+ * When the addends cancel to 0, ensure that the result has
+ * the correct sign.
+ */
+ fesetround(oround);
+ volatile double vzs = zs; /* XXX gcc CSE bug workaround */
+ return (xy.hi + vzs + ldexp(xy.lo, spread));
+ }
+
+ if (oround != FE_TONEAREST) {
+ /*
+ * There is no need to worry about double rounding in directed
+ * rounding modes.
+ */
+ fesetround(oround);
+ /* work around clang bug 8100 */
+ volatile double vrlo = r.lo;
+ adj = vrlo + xy.lo;
+ return (ldexp(r.hi + adj, spread));
+ }
+
+ adj = add_adjusted(r.lo, xy.lo);
+ if (spread + ilogb(r.hi) > -1023)
+ return (ldexp(r.hi + adj, spread));
+ else
+ return (add_and_denormalize(r.hi, adj, spread));
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(fma, fmal);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmaf.c b/libm/upstream-freebsd/lib/msun/src/s_fmaf.c
new file mode 100644
index 0000000..3695823
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmaf.c
@@ -0,0 +1,69 @@
+/*-
+ * Copyright (c) 2005-2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <fenv.h>
+
+#include "math.h"
+#include "math_private.h"
+
+/*
+ * Fused multiply-add: Compute x * y + z with a single rounding error.
+ *
+ * A double has more than twice as much precision than a float, so
+ * direct double-precision arithmetic suffices, except where double
+ * rounding occurs.
+ */
+float
+fmaf(float x, float y, float z)
+{
+ double xy, result;
+ uint32_t hr, lr;
+
+ xy = (double)x * y;
+ result = xy + z;
+ EXTRACT_WORDS(hr, lr, result);
+ /* Common case: The double precision result is fine. */
+ if ((lr & 0x1fffffff) != 0x10000000 || /* not a halfway case */
+ (hr & 0x7ff00000) == 0x7ff00000 || /* NaN */
+ result - xy == z || /* exact */
+ fegetround() != FE_TONEAREST) /* not round-to-nearest */
+ return (result);
+
+ /*
+ * If result is inexact, and exactly halfway between two float values,
+ * we need to adjust the low-order bit in the direction of the error.
+ */
+ fesetround(FE_TOWARDZERO);
+ volatile double vxy = xy; /* XXX work around gcc CSE bug */
+ double adjusted_result = vxy + z;
+ fesetround(FE_TONEAREST);
+ if (result == adjusted_result)
+ SET_LOW_WORD(adjusted_result, lr + 1);
+ return (adjusted_result);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmal.c b/libm/upstream-freebsd/lib/msun/src/s_fmal.c
new file mode 100644
index 0000000..d435f4f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmal.c
@@ -0,0 +1,272 @@
+/*-
+ * Copyright (c) 2005-2011 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <fenv.h>
+#include <float.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+/*
+ * A struct dd represents a floating-point number with twice the precision
+ * of a long double. We maintain the invariant that "hi" stores the high-order
+ * bits of the result.
+ */
+struct dd {
+ long double hi;
+ long double lo;
+};
+
+/*
+ * Compute a+b exactly, returning the exact result in a struct dd. We assume
+ * that both a and b are finite, but make no assumptions about their relative
+ * magnitudes.
+ */
+static inline struct dd
+dd_add(long double a, long double b)
+{
+ struct dd ret;
+ long double s;
+
+ ret.hi = a + b;
+ s = ret.hi - a;
+ ret.lo = (a - (ret.hi - s)) + (b - s);
+ return (ret);
+}
+
+/*
+ * Compute a+b, with a small tweak: The least significant bit of the
+ * result is adjusted into a sticky bit summarizing all the bits that
+ * were lost to rounding. This adjustment negates the effects of double
+ * rounding when the result is added to another number with a higher
+ * exponent. For an explanation of round and sticky bits, see any reference
+ * on FPU design, e.g.,
+ *
+ * J. Coonen. An Implementation Guide to a Proposed Standard for
+ * Floating-Point Arithmetic. Computer, vol. 13, no. 1, Jan 1980.
+ */
+static inline long double
+add_adjusted(long double a, long double b)
+{
+ struct dd sum;
+ union IEEEl2bits u;
+
+ sum = dd_add(a, b);
+ if (sum.lo != 0) {
+ u.e = sum.hi;
+ if ((u.bits.manl & 1) == 0)
+ sum.hi = nextafterl(sum.hi, INFINITY * sum.lo);
+ }
+ return (sum.hi);
+}
+
+/*
+ * Compute ldexp(a+b, scale) with a single rounding error. It is assumed
+ * that the result will be subnormal, and care is taken to ensure that
+ * double rounding does not occur.
+ */
+static inline long double
+add_and_denormalize(long double a, long double b, int scale)
+{
+ struct dd sum;
+ int bits_lost;
+ union IEEEl2bits u;
+
+ sum = dd_add(a, b);
+
+ /*
+ * If we are losing at least two bits of accuracy to denormalization,
+ * then the first lost bit becomes a round bit, and we adjust the
+ * lowest bit of sum.hi to make it a sticky bit summarizing all the
+ * bits in sum.lo. With the sticky bit adjusted, the hardware will
+ * break any ties in the correct direction.
+ *
+ * If we are losing only one bit to denormalization, however, we must
+ * break the ties manually.
+ */
+ if (sum.lo != 0) {
+ u.e = sum.hi;
+ bits_lost = -u.bits.exp - scale + 1;
+ if ((bits_lost != 1) ^ (int)(u.bits.manl & 1))
+ sum.hi = nextafterl(sum.hi, INFINITY * sum.lo);
+ }
+ return (ldexp(sum.hi, scale));
+}
+
+/*
+ * Compute a*b exactly, returning the exact result in a struct dd. We assume
+ * that both a and b are normalized, so no underflow or overflow will occur.
+ * The current rounding mode must be round-to-nearest.
+ */
+static inline struct dd
+dd_mul(long double a, long double b)
+{
+#if LDBL_MANT_DIG == 64
+ static const long double split = 0x1p32L + 1.0;
+#elif LDBL_MANT_DIG == 113
+ static const long double split = 0x1p57L + 1.0;
+#endif
+ struct dd ret;
+ long double ha, hb, la, lb, p, q;
+
+ p = a * split;
+ ha = a - p;
+ ha += p;
+ la = a - ha;
+
+ p = b * split;
+ hb = b - p;
+ hb += p;
+ lb = b - hb;
+
+ p = ha * hb;
+ q = ha * lb + la * hb;
+
+ ret.hi = p + q;
+ ret.lo = p - ret.hi + q + la * lb;
+ return (ret);
+}
+
+/*
+ * Fused multiply-add: Compute x * y + z with a single rounding error.
+ *
+ * We use scaling to avoid overflow/underflow, along with the
+ * canonical precision-doubling technique adapted from:
+ *
+ * Dekker, T. A Floating-Point Technique for Extending the
+ * Available Precision. Numer. Math. 18, 224-242 (1971).
+ */
+long double
+fmal(long double x, long double y, long double z)
+{
+ long double xs, ys, zs, adj;
+ struct dd xy, r;
+ int oround;
+ int ex, ey, ez;
+ int spread;
+
+ /*
+ * Handle special cases. The order of operations and the particular
+ * return values here are crucial in handling special cases involving
+ * infinities, NaNs, overflows, and signed zeroes correctly.
+ */
+ if (x == 0.0 || y == 0.0)
+ return (x * y + z);
+ if (z == 0.0)
+ return (x * y);
+ if (!isfinite(x) || !isfinite(y))
+ return (x * y + z);
+ if (!isfinite(z))
+ return (z);
+
+ xs = frexpl(x, &ex);
+ ys = frexpl(y, &ey);
+ zs = frexpl(z, &ez);
+ oround = fegetround();
+ spread = ex + ey - ez;
+
+ /*
+ * If x * y and z are many orders of magnitude apart, the scaling
+ * will overflow, so we handle these cases specially. Rounding
+ * modes other than FE_TONEAREST are painful.
+ */
+ if (spread < -LDBL_MANT_DIG) {
+ feraiseexcept(FE_INEXACT);
+ if (!isnormal(z))
+ feraiseexcept(FE_UNDERFLOW);
+ switch (oround) {
+ case FE_TONEAREST:
+ return (z);
+ case FE_TOWARDZERO:
+ if (x > 0.0 ^ y < 0.0 ^ z < 0.0)
+ return (z);
+ else
+ return (nextafterl(z, 0));
+ case FE_DOWNWARD:
+ if (x > 0.0 ^ y < 0.0)
+ return (z);
+ else
+ return (nextafterl(z, -INFINITY));
+ default: /* FE_UPWARD */
+ if (x > 0.0 ^ y < 0.0)
+ return (nextafterl(z, INFINITY));
+ else
+ return (z);
+ }
+ }
+ if (spread <= LDBL_MANT_DIG * 2)
+ zs = ldexpl(zs, -spread);
+ else
+ zs = copysignl(LDBL_MIN, zs);
+
+ fesetround(FE_TONEAREST);
+ /* work around clang bug 8100 */
+ volatile long double vxs = xs;
+
+ /*
+ * Basic approach for round-to-nearest:
+ *
+ * (xy.hi, xy.lo) = x * y (exact)
+ * (r.hi, r.lo) = xy.hi + z (exact)
+ * adj = xy.lo + r.lo (inexact; low bit is sticky)
+ * result = r.hi + adj (correctly rounded)
+ */
+ xy = dd_mul(vxs, ys);
+ r = dd_add(xy.hi, zs);
+
+ spread = ex + ey;
+
+ if (r.hi == 0.0) {
+ /*
+ * When the addends cancel to 0, ensure that the result has
+ * the correct sign.
+ */
+ fesetround(oround);
+ volatile long double vzs = zs; /* XXX gcc CSE bug workaround */
+ return (xy.hi + vzs + ldexpl(xy.lo, spread));
+ }
+
+ if (oround != FE_TONEAREST) {
+ /*
+ * There is no need to worry about double rounding in directed
+ * rounding modes.
+ */
+ fesetround(oround);
+ /* work around clang bug 8100 */
+ volatile long double vrlo = r.lo;
+ adj = vrlo + xy.lo;
+ return (ldexpl(r.hi + adj, spread));
+ }
+
+ adj = add_adjusted(r.lo, xy.lo);
+ if (spread + ilogbl(r.hi) > -16383)
+ return (ldexpl(r.hi + adj, spread));
+ else
+ return (add_and_denormalize(r.hi, adj, spread));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmax.c b/libm/upstream-freebsd/lib/msun/src/s_fmax.c
new file mode 100644
index 0000000..b51b865
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmax.c
@@ -0,0 +1,53 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+double
+fmax(double x, double y)
+{
+ union IEEEd2bits u[2];
+
+ u[0].d = x;
+ u[1].d = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 2047 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 2047 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[0].bits.sign].d);
+
+ return (x > y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmaxf.c b/libm/upstream-freebsd/lib/msun/src/s_fmaxf.c
new file mode 100644
index 0000000..423da54
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmaxf.c
@@ -0,0 +1,53 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+float
+fmaxf(float x, float y)
+{
+ union IEEEf2bits u[2];
+
+ u[0].f = x;
+ u[1].f = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 255 && u[0].bits.man != 0)
+ return (y);
+ if (u[1].bits.exp == 255 && u[1].bits.man != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[0].bits.sign].f);
+
+ return (x > y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmaxl.c b/libm/upstream-freebsd/lib/msun/src/s_fmaxl.c
new file mode 100644
index 0000000..0ac48a9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmaxl.c
@@ -0,0 +1,55 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+fmaxl(long double x, long double y)
+{
+ union IEEEl2bits u[2];
+
+ u[0].e = x;
+ mask_nbit_l(u[0]);
+ u[1].e = y;
+ mask_nbit_l(u[1]);
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 32767 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 32767 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[0].bits.sign ? y : x);
+
+ return (x > y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fmin.c b/libm/upstream-freebsd/lib/msun/src/s_fmin.c
new file mode 100644
index 0000000..3500c84
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fmin.c
@@ -0,0 +1,53 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+double
+fmin(double x, double y)
+{
+ union IEEEd2bits u[2];
+
+ u[0].d = x;
+ u[1].d = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 2047 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 2047 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[1].bits.sign].d);
+
+ return (x < y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fminf.c b/libm/upstream-freebsd/lib/msun/src/s_fminf.c
new file mode 100644
index 0000000..76a5c76
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fminf.c
@@ -0,0 +1,53 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+float
+fminf(float x, float y)
+{
+ union IEEEf2bits u[2];
+
+ u[0].f = x;
+ u[1].f = y;
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 255 && u[0].bits.man != 0)
+ return (y);
+ if (u[1].bits.exp == 255 && u[1].bits.man != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[u[1].bits.sign].f);
+
+ return (x < y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_fminl.c b/libm/upstream-freebsd/lib/msun/src/s_fminl.c
new file mode 100644
index 0000000..f9d3ebb
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_fminl.c
@@ -0,0 +1,55 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+fminl(long double x, long double y)
+{
+ union IEEEl2bits u[2];
+
+ u[0].e = x;
+ mask_nbit_l(u[0]);
+ u[1].e = y;
+ mask_nbit_l(u[1]);
+
+ /* Check for NaNs to avoid raising spurious exceptions. */
+ if (u[0].bits.exp == 32767 && (u[0].bits.manh | u[0].bits.manl) != 0)
+ return (y);
+ if (u[1].bits.exp == 32767 && (u[1].bits.manh | u[1].bits.manl) != 0)
+ return (x);
+
+ /* Handle comparisons of signed zeroes. */
+ if (u[0].bits.sign != u[1].bits.sign)
+ return (u[1].bits.sign ? y : x);
+
+ return (x < y ? x : y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_frexp.c b/libm/upstream-freebsd/lib/msun/src/s_frexp.c
new file mode 100644
index 0000000..318a991
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_frexp.c
@@ -0,0 +1,56 @@
+/* @(#)s_frexp.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * for non-zero x
+ * x = frexp(arg,&exp);
+ * return a double fp quantity x such that 0.5 <= |x| <1.0
+ * and the corresponding binary exponent "exp". That is
+ * arg = x*2^exp.
+ * If arg is inf, 0.0, or NaN, then frexp(arg,&exp) returns arg
+ * with *exp=0.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+two54 = 1.80143985094819840000e+16; /* 0x43500000, 0x00000000 */
+
+double
+frexp(double x, int *eptr)
+{
+ int32_t hx, ix, lx;
+ EXTRACT_WORDS(hx,lx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7ff00000||((ix|lx)==0)) return x; /* 0,inf,nan */
+ if (ix<0x00100000) { /* subnormal */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -54;
+ }
+ *eptr += (ix>>20)-1022;
+ hx = (hx&0x800fffff)|0x3fe00000;
+ SET_HIGH_WORD(x,hx);
+ return x;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(frexp, frexpl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_frexpf.c b/libm/upstream-freebsd/lib/msun/src/s_frexpf.c
new file mode 100644
index 0000000..5a7c486
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_frexpf.c
@@ -0,0 +1,43 @@
+/* s_frexpf.c -- float version of s_frexp.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+two25 = 3.3554432000e+07; /* 0x4c000000 */
+
+float
+frexpf(float x, int *eptr)
+{
+ int32_t hx,ix;
+ GET_FLOAT_WORD(hx,x);
+ ix = 0x7fffffff&hx;
+ *eptr = 0;
+ if(ix>=0x7f800000||(ix==0)) return x; /* 0,inf,nan */
+ if (ix<0x00800000) { /* subnormal */
+ x *= two25;
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff;
+ *eptr = -25;
+ }
+ *eptr += (ix>>23)-126;
+ hx = (hx&0x807fffff)|0x3f000000;
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_frexpl.c b/libm/upstream-freebsd/lib/msun/src/s_frexpl.c
new file mode 100644
index 0000000..d34f55d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_frexpl.c
@@ -0,0 +1,62 @@
+/*-
+ * Copyright (c) 2004-2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <float.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+#if LDBL_MAX_EXP != 0x4000
+#error "Unsupported long double format"
+#endif
+
+long double
+frexpl(long double x, int *ex)
+{
+ union IEEEl2bits u;
+
+ u.e = x;
+ switch (u.bits.exp) {
+ case 0: /* 0 or subnormal */
+ if ((u.bits.manl | u.bits.manh) == 0) {
+ *ex = 0;
+ } else {
+ u.e *= 0x1.0p514;
+ *ex = u.bits.exp - 0x4200;
+ u.bits.exp = 0x3ffe;
+ }
+ break;
+ case 0x7fff: /* infinity or NaN; value of *ex is unspecified */
+ break;
+ default: /* normal */
+ *ex = u.bits.exp - 0x3ffe;
+ u.bits.exp = 0x3ffe;
+ break;
+ }
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ilogb.c b/libm/upstream-freebsd/lib/msun/src/s_ilogb.c
new file mode 100644
index 0000000..a930bc9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ilogb.c
@@ -0,0 +1,48 @@
+/* @(#)s_ilogb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* ilogb(double x)
+ * return the binary exponent of non-zero x
+ * ilogb(0) = FP_ILOGB0
+ * ilogb(NaN) = FP_ILOGBNAN (no signal is raised)
+ * ilogb(inf) = INT_MAX (no signal is raised)
+ */
+
+#include <limits.h>
+
+#include "math.h"
+#include "math_private.h"
+
+ int ilogb(double x)
+{
+ int32_t hx,lx,ix;
+
+ EXTRACT_WORDS(hx,lx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00100000) {
+ if((hx|lx)==0)
+ return FP_ILOGB0;
+ else /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043; lx>0; lx<<=1) ix -=1;
+ } else {
+ for (ix = -1022,hx<<=11; hx>0; hx<<=1) ix -=1;
+ }
+ return ix;
+ }
+ else if (hx<0x7ff00000) return (hx>>20)-1023;
+ else if (hx>0x7ff00000 || lx!=0) return FP_ILOGBNAN;
+ else return INT_MAX;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ilogbf.c b/libm/upstream-freebsd/lib/msun/src/s_ilogbf.c
new file mode 100644
index 0000000..93fe295
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ilogbf.c
@@ -0,0 +1,40 @@
+/* s_ilogbf.c -- float version of s_ilogb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <limits.h>
+
+#include "math.h"
+#include "math_private.h"
+
+ int ilogbf(float x)
+{
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ hx &= 0x7fffffff;
+ if(hx<0x00800000) {
+ if(hx==0)
+ return FP_ILOGB0;
+ else /* subnormal x */
+ for (ix = -126,hx<<=8; hx>0; hx<<=1) ix -=1;
+ return ix;
+ }
+ else if (hx<0x7f800000) return (hx>>23)-127;
+ else if (hx>0x7f800000) return FP_ILOGBNAN;
+ else return INT_MAX;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_ilogbl.c b/libm/upstream-freebsd/lib/msun/src/s_ilogbl.c
new file mode 100644
index 0000000..3211f44
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_ilogbl.c
@@ -0,0 +1,53 @@
+/*
+ * From: @(#)s_ilogb.c 5.1 93/09/24
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+int
+ilogbl(long double x)
+{
+ union IEEEl2bits u;
+ unsigned long m;
+ int b;
+
+ u.e = x;
+ if (u.bits.exp == 0) {
+ if ((u.bits.manl | u.bits.manh) == 0)
+ return (FP_ILOGB0);
+ /* denormalized */
+ if (u.bits.manh == 0) {
+ m = 1lu << (LDBL_MANL_SIZE - 1);
+ for (b = LDBL_MANH_SIZE; !(u.bits.manl & m); m >>= 1)
+ b++;
+ } else {
+ m = 1lu << (LDBL_MANH_SIZE - 1);
+ for (b = 0; !(u.bits.manh & m); m >>= 1)
+ b++;
+ }
+#ifdef LDBL_IMPLICIT_NBIT
+ b++;
+#endif
+ return (LDBL_MIN_EXP - b - 1);
+ } else if (u.bits.exp < (LDBL_MAX_EXP << 1) - 1)
+ return (u.bits.exp - LDBL_MAX_EXP + 1);
+ else if (u.bits.manl != 0 || u.bits.manh != 0)
+ return (FP_ILOGBNAN);
+ else
+ return (INT_MAX);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llrint.c b/libm/upstream-freebsd/lib/msun/src/s_llrint.c
new file mode 100644
index 0000000..7c959ec
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llrint.c
@@ -0,0 +1,9 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type double
+#define roundit rint
+#define dtype long long
+#define fn llrint
+
+#include "s_lrint.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llrintf.c b/libm/upstream-freebsd/lib/msun/src/s_llrintf.c
new file mode 100644
index 0000000..7ec6015
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llrintf.c
@@ -0,0 +1,9 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type float
+#define roundit rintf
+#define dtype long long
+#define fn llrintf
+
+#include "s_lrint.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llrintl.c b/libm/upstream-freebsd/lib/msun/src/s_llrintl.c
new file mode 100644
index 0000000..6ef8375
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llrintl.c
@@ -0,0 +1,9 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type long double
+#define roundit rintl
+#define dtype long long
+#define fn llrintl
+
+#include "s_lrint.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llround.c b/libm/upstream-freebsd/lib/msun/src/s_llround.c
new file mode 100644
index 0000000..827dfc1
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llround.c
@@ -0,0 +1,11 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type double
+#define roundit round
+#define dtype long long
+#define DTYPE_MIN LLONG_MIN
+#define DTYPE_MAX LLONG_MAX
+#define fn llround
+
+#include "s_lround.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llroundf.c b/libm/upstream-freebsd/lib/msun/src/s_llroundf.c
new file mode 100644
index 0000000..c037a18
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llroundf.c
@@ -0,0 +1,11 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type float
+#define roundit roundf
+#define dtype long long
+#define DTYPE_MIN LLONG_MIN
+#define DTYPE_MAX LLONG_MAX
+#define fn llroundf
+
+#include "s_lround.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_llroundl.c b/libm/upstream-freebsd/lib/msun/src/s_llroundl.c
new file mode 100644
index 0000000..02c44eb
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_llroundl.c
@@ -0,0 +1,11 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type long double
+#define roundit roundl
+#define dtype long long
+#define DTYPE_MIN LLONG_MIN
+#define DTYPE_MAX LLONG_MAX
+#define fn llroundl
+
+#include "s_lround.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_log1p.c b/libm/upstream-freebsd/lib/msun/src/s_log1p.c
new file mode 100644
index 0000000..3cc77bd
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_log1p.c
@@ -0,0 +1,180 @@
+/* @(#)s_log1p.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* double log1p(double x)
+ *
+ * Method :
+ * 1. Argument Reduction: find k and f such that
+ * 1+x = 2^k * (1+f),
+ * where sqrt(2)/2 < 1+f < sqrt(2) .
+ *
+ * Note. If k=0, then f=x is exact. However, if k!=0, then f
+ * may not be representable exactly. In that case, a correction
+ * term is need. Let u=1+x rounded. Let c = (1+x)-u, then
+ * log(1+x) - log(u) ~ c/u. Thus, we proceed to compute log(u),
+ * and add back the correction term c/u.
+ * (Note: when x > 2**53, one can simply return log(x))
+ *
+ * 2. Approximation of log1p(f).
+ * Let s = f/(2+f) ; based on log(1+f) = log(1+s) - log(1-s)
+ * = 2s + 2/3 s**3 + 2/5 s**5 + .....,
+ * = 2s + s*R
+ * We use a special Reme algorithm on [0,0.1716] to generate
+ * a polynomial of degree 14 to approximate R The maximum error
+ * of this polynomial approximation is bounded by 2**-58.45. In
+ * other words,
+ * 2 4 6 8 10 12 14
+ * R(z) ~ Lp1*s +Lp2*s +Lp3*s +Lp4*s +Lp5*s +Lp6*s +Lp7*s
+ * (the values of Lp1 to Lp7 are listed in the program)
+ * and
+ * | 2 14 | -58.45
+ * | Lp1*s +...+Lp7*s - R(z) | <= 2
+ * | |
+ * Note that 2s = f - s*f = f - hfsq + s*hfsq, where hfsq = f*f/2.
+ * In order to guarantee error in log below 1ulp, we compute log
+ * by
+ * log1p(f) = f - (hfsq - s*(hfsq+R)).
+ *
+ * 3. Finally, log1p(x) = k*ln2 + log1p(f).
+ * = k*ln2_hi+(f-(hfsq-(s*(hfsq+R)+k*ln2_lo)))
+ * Here ln2 is split into two floating point number:
+ * ln2_hi + ln2_lo,
+ * where n*ln2_hi is always exact for |n| < 2000.
+ *
+ * Special cases:
+ * log1p(x) is NaN with signal if x < -1 (including -INF) ;
+ * log1p(+INF) is +INF; log1p(-1) is -INF with signal;
+ * log1p(NaN) is that NaN with no signal.
+ *
+ * Accuracy:
+ * according to an error analysis, the error is always less than
+ * 1 ulp (unit in the last place).
+ *
+ * Constants:
+ * The hexadecimal values are the intended ones for the following
+ * constants. The decimal values may be used, provided that the
+ * compiler will convert from decimal to binary accurately enough
+ * to produce the hexadecimal values shown.
+ *
+ * Note: Assuming log() return accurate answer, the following
+ * algorithm can be used to compute log1p(x) to within a few ULP:
+ *
+ * u = 1+x;
+ * if(u==1.0) return x ; else
+ * return log(u)*(x/(u-1.0));
+ *
+ * See HP-15C Advanced Functions Handbook, p.193.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+ln2_hi = 6.93147180369123816490e-01, /* 3fe62e42 fee00000 */
+ln2_lo = 1.90821492927058770002e-10, /* 3dea39ef 35793c76 */
+two54 = 1.80143985094819840000e+16, /* 43500000 00000000 */
+Lp1 = 6.666666666666735130e-01, /* 3FE55555 55555593 */
+Lp2 = 3.999999999940941908e-01, /* 3FD99999 9997FA04 */
+Lp3 = 2.857142874366239149e-01, /* 3FD24924 94229359 */
+Lp4 = 2.222219843214978396e-01, /* 3FCC71C5 1D8E78AF */
+Lp5 = 1.818357216161805012e-01, /* 3FC74664 96CB03DE */
+Lp6 = 1.531383769920937332e-01, /* 3FC39A09 D078C69F */
+Lp7 = 1.479819860511658591e-01; /* 3FC2F112 DF3E5244 */
+
+static const double zero = 0.0;
+static volatile double vzero = 0.0;
+
+double
+log1p(double x)
+{
+ double hfsq,f,c,s,z,R,u;
+ int32_t k,hx,hu,ax;
+
+ GET_HIGH_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3FDA827A) { /* 1+x < sqrt(2)+ */
+ if(ax>=0x3ff00000) { /* x <= -1.0 */
+ if(x==-1.0) return -two54/vzero; /* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x3e200000) { /* |x| < 2**-29 */
+ if(two54+x>zero /* raise inexact */
+ &&ax<0x3c900000) /* |x| < 2**-54 */
+ return x;
+ else
+ return x - x*x*0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbfd2bec4)) {
+ k=0;f=x;hu=1;} /* sqrt(2)/2- <= 1+x < sqrt(2)+ */
+ }
+ if (hx >= 0x7ff00000) return x+x;
+ if(k!=0) {
+ if(hx<0x43400000) {
+ STRICT_ASSIGN(double,u,1.0+x);
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = (k>0)? 1.0-(u-x):x-(u-1.0);/* correction term */
+ c /= u;
+ } else {
+ u = x;
+ GET_HIGH_WORD(hu,u);
+ k = (hu>>20)-1023;
+ c = 0;
+ }
+ hu &= 0x000fffff;
+ /*
+ * The approximation to sqrt(2) used in thresholds is not
+ * critical. However, the ones used above must give less
+ * strict bounds than the one here so that the k==0 case is
+ * never reached from here, since here we have committed to
+ * using the correction term but don't use it if k==0.
+ */
+ if(hu<0x6a09e) { /* u ~< sqrt(2) */
+ SET_HIGH_WORD(u,hu|0x3ff00000); /* normalize u */
+ } else {
+ k += 1;
+ SET_HIGH_WORD(u,hu|0x3fe00000); /* normalize u/2 */
+ hu = (0x00100000-hu)>>2;
+ }
+ f = u-1.0;
+ }
+ hfsq=0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) {
+ return zero;
+ } else {
+ c += k*ln2_lo;
+ return k*ln2_hi+c;
+ }
+ }
+ R = hfsq*(1.0-0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/(2.0+f);
+ z = s*s;
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(log1p, log1pl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_log1pf.c b/libm/upstream-freebsd/lib/msun/src/s_log1pf.c
new file mode 100644
index 0000000..df04c67
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_log1pf.c
@@ -0,0 +1,115 @@
+/* s_log1pf.c -- float version of s_log1p.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */
+two25 = 3.355443200e+07, /* 0x4c000000 */
+Lp1 = 6.6666668653e-01, /* 3F2AAAAB */
+Lp2 = 4.0000000596e-01, /* 3ECCCCCD */
+Lp3 = 2.8571429849e-01, /* 3E924925 */
+Lp4 = 2.2222198546e-01, /* 3E638E29 */
+Lp5 = 1.8183572590e-01, /* 3E3A3325 */
+Lp6 = 1.5313838422e-01, /* 3E1CD04F */
+Lp7 = 1.4798198640e-01; /* 3E178897 */
+
+static const float zero = 0.0;
+static volatile float vzero = 0.0;
+
+float
+log1pf(float x)
+{
+ float hfsq,f,c,s,z,R,u;
+ int32_t k,hx,hu,ax;
+
+ GET_FLOAT_WORD(hx,x);
+ ax = hx&0x7fffffff;
+
+ k = 1;
+ if (hx < 0x3ed413d0) { /* 1+x < sqrt(2)+ */
+ if(ax>=0x3f800000) { /* x <= -1.0 */
+ if(x==(float)-1.0) return -two25/vzero; /* log1p(-1)=+inf */
+ else return (x-x)/(x-x); /* log1p(x<-1)=NaN */
+ }
+ if(ax<0x38000000) { /* |x| < 2**-15 */
+ if(two25+x>zero /* raise inexact */
+ &&ax<0x33800000) /* |x| < 2**-24 */
+ return x;
+ else
+ return x - x*x*(float)0.5;
+ }
+ if(hx>0||hx<=((int32_t)0xbe95f619)) {
+ k=0;f=x;hu=1;} /* sqrt(2)/2- <= 1+x < sqrt(2)+ */
+ }
+ if (hx >= 0x7f800000) return x+x;
+ if(k!=0) {
+ if(hx<0x5a000000) {
+ STRICT_ASSIGN(float,u,(float)1.0+x);
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ /* correction term */
+ c = (k>0)? (float)1.0-(u-x):x-(u-(float)1.0);
+ c /= u;
+ } else {
+ u = x;
+ GET_FLOAT_WORD(hu,u);
+ k = (hu>>23)-127;
+ c = 0;
+ }
+ hu &= 0x007fffff;
+ /*
+ * The approximation to sqrt(2) used in thresholds is not
+ * critical. However, the ones used above must give less
+ * strict bounds than the one here so that the k==0 case is
+ * never reached from here, since here we have committed to
+ * using the correction term but don't use it if k==0.
+ */
+ if(hu<0x3504f4) { /* u < sqrt(2) */
+ SET_FLOAT_WORD(u,hu|0x3f800000);/* normalize u */
+ } else {
+ k += 1;
+ SET_FLOAT_WORD(u,hu|0x3f000000); /* normalize u/2 */
+ hu = (0x00800000-hu)>>2;
+ }
+ f = u-(float)1.0;
+ }
+ hfsq=(float)0.5*f*f;
+ if(hu==0) { /* |f| < 2**-20 */
+ if(f==zero) {
+ if(k==0) {
+ return zero;
+ } else {
+ c += k*ln2_lo;
+ return k*ln2_hi+c;
+ }
+ }
+ R = hfsq*((float)1.0-(float)0.66666666666666666*f);
+ if(k==0) return f-R; else
+ return k*ln2_hi-((R-(k*ln2_lo+c))-f);
+ }
+ s = f/((float)2.0+f);
+ z = s*s;
+ R = z*(Lp1+z*(Lp2+z*(Lp3+z*(Lp4+z*(Lp5+z*(Lp6+z*Lp7))))));
+ if(k==0) return f-(hfsq-s*(hfsq+R)); else
+ return k*ln2_hi-((hfsq-(s*(hfsq+R)+(k*ln2_lo+c)))-f);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_logb.c b/libm/upstream-freebsd/lib/msun/src/s_logb.c
new file mode 100644
index 0000000..a47e354
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_logb.c
@@ -0,0 +1,49 @@
+/* @(#)s_logb.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * double logb(x)
+ * IEEE 754 logb. Included to pass IEEE test suite. Not recommend.
+ * Use ilogb instead.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+two54 = 1.80143985094819840000e+16; /* 43500000 00000000 */
+
+double
+logb(double x)
+{
+ int32_t lx,ix;
+ EXTRACT_WORDS(ix,lx,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if((ix|lx)==0) return -1.0/fabs(x);
+ if(ix>=0x7ff00000) return x*x;
+ if(ix<0x00100000) {
+ x *= two54; /* convert subnormal x to normal */
+ GET_HIGH_WORD(ix,x);
+ ix &= 0x7fffffff;
+ return (double) ((ix>>20)-1023-54);
+ } else
+ return (double) ((ix>>20)-1023);
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(logb, logbl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_logbf.c b/libm/upstream-freebsd/lib/msun/src/s_logbf.c
new file mode 100644
index 0000000..3ab190d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_logbf.c
@@ -0,0 +1,40 @@
+/* s_logbf.c -- float version of s_logb.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+two25 = 3.355443200e+07; /* 0x4c000000 */
+
+float
+logbf(float x)
+{
+ int32_t ix;
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff; /* high |x| */
+ if(ix==0) return (float)-1.0/fabsf(x);
+ if(ix>=0x7f800000) return x*x;
+ if(ix<0x00800000) {
+ x *= two25; /* convert subnormal x to normal */
+ GET_FLOAT_WORD(ix,x);
+ ix &= 0x7fffffff;
+ return (float) ((ix>>23)-127-25);
+ } else
+ return (float) ((ix>>23)-127);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_logbl.c b/libm/upstream-freebsd/lib/msun/src/s_logbl.c
new file mode 100644
index 0000000..7e88e36
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_logbl.c
@@ -0,0 +1,55 @@
+/*
+ * From: @(#)s_ilogb.c 5.1 93/09/24
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+#include <float.h>
+#include <limits.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+long double
+logbl(long double x)
+{
+ union IEEEl2bits u;
+ unsigned long m;
+ int b;
+
+ u.e = x;
+ if (u.bits.exp == 0) {
+ if ((u.bits.manl | u.bits.manh) == 0) { /* x == 0 */
+ u.bits.sign = 1;
+ return (1.0L / u.e);
+ }
+ /* denormalized */
+ if (u.bits.manh == 0) {
+ m = 1lu << (LDBL_MANL_SIZE - 1);
+ for (b = LDBL_MANH_SIZE; !(u.bits.manl & m); m >>= 1)
+ b++;
+ } else {
+ m = 1lu << (LDBL_MANH_SIZE - 1);
+ for (b = 0; !(u.bits.manh & m); m >>= 1)
+ b++;
+ }
+#ifdef LDBL_IMPLICIT_NBIT
+ b++;
+#endif
+ return ((long double)(LDBL_MIN_EXP - b - 1));
+ }
+ if (u.bits.exp < (LDBL_MAX_EXP << 1) - 1) /* normal */
+ return ((long double)(u.bits.exp - LDBL_MAX_EXP + 1));
+ else /* +/- inf or nan */
+ return (x * x);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lrint.c b/libm/upstream-freebsd/lib/msun/src/s_lrint.c
new file mode 100644
index 0000000..27ff5ff
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lrint.c
@@ -0,0 +1,58 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+#include <fenv.h>
+#include <math.h>
+
+#ifndef type
+__FBSDID("$FreeBSD$");
+#define type double
+#define roundit rint
+#define dtype long
+#define fn lrint
+#endif
+
+/*
+ * C99 says we should not raise a spurious inexact exception when an
+ * invalid exception is raised. Unfortunately, the set of inputs
+ * that overflows depends on the rounding mode when 'dtype' has more
+ * significant bits than 'type'. Hence, we bend over backwards for the
+ * sake of correctness; an MD implementation could be more efficient.
+ */
+dtype
+fn(type x)
+{
+ fenv_t env;
+ dtype d;
+
+ feholdexcept(&env);
+ d = (dtype)roundit(x);
+ if (fetestexcept(FE_INVALID))
+ feclearexcept(FE_INEXACT);
+ feupdateenv(&env);
+ return (d);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lrintf.c b/libm/upstream-freebsd/lib/msun/src/s_lrintf.c
new file mode 100644
index 0000000..a757ded
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lrintf.c
@@ -0,0 +1,9 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type float
+#define roundit rintf
+#define dtype long
+#define fn lrintf
+
+#include "s_lrint.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lrintl.c b/libm/upstream-freebsd/lib/msun/src/s_lrintl.c
new file mode 100644
index 0000000..497b442
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lrintl.c
@@ -0,0 +1,9 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type long double
+#define roundit rintl
+#define dtype long
+#define fn lrintl
+
+#include "s_lrint.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lround.c b/libm/upstream-freebsd/lib/msun/src/s_lround.c
new file mode 100644
index 0000000..3cff489
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lround.c
@@ -0,0 +1,66 @@
+/*-
+ * Copyright (c) 2005 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+#include <sys/limits.h>
+#include <fenv.h>
+#include <math.h>
+
+#ifndef type
+__FBSDID("$FreeBSD$");
+#define type double
+#define roundit round
+#define dtype long
+#define DTYPE_MIN LONG_MIN
+#define DTYPE_MAX LONG_MAX
+#define fn lround
+#endif
+
+/*
+ * If type has more precision than dtype, the endpoints dtype_(min|max) are
+ * of the form xxx.5; they are "out of range" because lround() rounds away
+ * from 0. On the other hand, if type has less precision than dtype, then
+ * all values that are out of range are integral, so we might as well assume
+ * that everything is in range. At compile time, INRANGE(x) should reduce to
+ * two floating-point comparisons in the former case, or TRUE otherwise.
+ */
+static const type dtype_min = DTYPE_MIN - 0.5;
+static const type dtype_max = DTYPE_MAX + 0.5;
+#define INRANGE(x) (dtype_max - DTYPE_MAX != 0.5 || \
+ ((x) > dtype_min && (x) < dtype_max))
+
+dtype
+fn(type x)
+{
+
+ if (INRANGE(x)) {
+ x = roundit(x);
+ return ((dtype)x);
+ } else {
+ feraiseexcept(FE_INVALID);
+ return (DTYPE_MAX);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lroundf.c b/libm/upstream-freebsd/lib/msun/src/s_lroundf.c
new file mode 100644
index 0000000..e24fe7f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lroundf.c
@@ -0,0 +1,11 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type float
+#define roundit roundf
+#define dtype long
+#define DTYPE_MIN LONG_MIN
+#define DTYPE_MAX LONG_MAX
+#define fn lroundf
+
+#include "s_lround.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_lroundl.c b/libm/upstream-freebsd/lib/msun/src/s_lroundl.c
new file mode 100644
index 0000000..e410827
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_lroundl.c
@@ -0,0 +1,11 @@
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#define type long double
+#define roundit roundl
+#define dtype long
+#define DTYPE_MIN LONG_MIN
+#define DTYPE_MAX LONG_MAX
+#define fn lroundl
+
+#include "s_lround.c"
diff --git a/libm/upstream-freebsd/lib/msun/src/s_modf.c b/libm/upstream-freebsd/lib/msun/src/s_modf.c
new file mode 100644
index 0000000..ab13191
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_modf.c
@@ -0,0 +1,79 @@
+/* @(#)s_modf.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+/*
+ * modf(double x, double *iptr)
+ * return fraction part of x, and return x's integral part in *iptr.
+ * Method:
+ * Bit twiddling.
+ *
+ * Exception:
+ * No exception.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const double one = 1.0;
+
+double
+modf(double x, double *iptr)
+{
+ int32_t i0,i1,j0;
+ u_int32_t i;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff; /* exponent of x */
+ if(j0<20) { /* integer part in high x */
+ if(j0<0) { /* |x|<1 */
+ INSERT_WORDS(*iptr,i0&0x80000000,0); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) { /* x is integral */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0&(~i),0);
+ return x - *iptr;
+ }
+ }
+ } else if (j0>51) { /* no fraction part */
+ u_int32_t high;
+ if (j0 == 0x400) { /* inf/NaN */
+ *iptr = x;
+ return 0.0 / x;
+ }
+ *iptr = x*one;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else { /* fraction part in low x */
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) { /* x is integral */
+ u_int32_t high;
+ *iptr = x;
+ GET_HIGH_WORD(high,x);
+ INSERT_WORDS(x,high&0x80000000,0); /* return +-0 */
+ return x;
+ } else {
+ INSERT_WORDS(*iptr,i0,i1&(~i));
+ return x - *iptr;
+ }
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_modff.c b/libm/upstream-freebsd/lib/msun/src/s_modff.c
new file mode 100644
index 0000000..062259c
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_modff.c
@@ -0,0 +1,57 @@
+/* s_modff.c -- float version of s_modf.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float one = 1.0;
+
+float
+modff(float x, float *iptr)
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f; /* exponent of x */
+ if(j0<23) { /* integer part in x */
+ if(j0<0) { /* |x|<1 */
+ SET_FLOAT_WORD(*iptr,i0&0x80000000); /* *iptr = +-0 */
+ return x;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) { /* x is integral */
+ u_int32_t ix;
+ *iptr = x;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ } else {
+ SET_FLOAT_WORD(*iptr,i0&(~i));
+ return x - *iptr;
+ }
+ }
+ } else { /* no fraction part */
+ u_int32_t ix;
+ *iptr = x*one;
+ if (x != x) /* NaN */
+ return x;
+ GET_FLOAT_WORD(ix,x);
+ SET_FLOAT_WORD(x,ix&0x80000000); /* return +-0 */
+ return x;
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_modfl.c b/libm/upstream-freebsd/lib/msun/src/s_modfl.c
new file mode 100644
index 0000000..3dcdf86
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_modfl.c
@@ -0,0 +1,101 @@
+/*-
+ * Copyright (c) 2007 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * Derived from s_modf.c, which has the following Copyright:
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * $FreeBSD$
+ */
+
+#include <float.h>
+#include <math.h>
+#include <sys/types.h>
+
+#include "fpmath.h"
+
+#if LDBL_MANL_SIZE > 32
+#define MASK ((uint64_t)-1)
+#else
+#define MASK ((uint32_t)-1)
+#endif
+/* Return the last n bits of a word, representing the fractional part. */
+#define GETFRAC(bits, n) ((bits) & ~(MASK << (n)))
+/* The number of fraction bits in manh, not counting the integer bit */
+#define HIBITS (LDBL_MANT_DIG - LDBL_MANL_SIZE)
+
+static const long double zero[] = { 0.0L, -0.0L };
+
+long double
+modfl(long double x, long double *iptr)
+{
+ union IEEEl2bits ux;
+ int e;
+
+ ux.e = x;
+ e = ux.bits.exp - LDBL_MAX_EXP + 1;
+ if (e < HIBITS) { /* Integer part is in manh. */
+ if (e < 0) { /* |x|<1 */
+ *iptr = zero[ux.bits.sign];
+ return (x);
+ } else {
+ if ((GETFRAC(ux.bits.manh, HIBITS - 1 - e) |
+ ux.bits.manl) == 0) { /* X is an integer. */
+ *iptr = x;
+ return (zero[ux.bits.sign]);
+ } else {
+ /* Clear all but the top e+1 bits. */
+ ux.bits.manh >>= HIBITS - 1 - e;
+ ux.bits.manh <<= HIBITS - 1 - e;
+ ux.bits.manl = 0;
+ *iptr = ux.e;
+ return (x - ux.e);
+ }
+ }
+ } else if (e >= LDBL_MANT_DIG - 1) { /* x has no fraction part. */
+ *iptr = x;
+ if (x != x) /* Handle NaNs. */
+ return (x);
+ return (zero[ux.bits.sign]);
+ } else { /* Fraction part is in manl. */
+ if (GETFRAC(ux.bits.manl, LDBL_MANT_DIG - 1 - e) == 0) {
+ /* x is integral. */
+ *iptr = x;
+ return (zero[ux.bits.sign]);
+ } else {
+ /* Clear all but the top e+1 bits. */
+ ux.bits.manl >>= LDBL_MANT_DIG - 1 - e;
+ ux.bits.manl <<= LDBL_MANT_DIG - 1 - e;
+ *iptr = ux.e;
+ return (x - ux.e);
+ }
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nan.c b/libm/upstream-freebsd/lib/msun/src/s_nan.c
new file mode 100644
index 0000000..890f471
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nan.c
@@ -0,0 +1,110 @@
+/*-
+ * Copyright (c) 2007 David Schultz
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ *
+ * $FreeBSD$
+ */
+
+#include <sys/endian.h>
+#include <ctype.h>
+#include <float.h>
+#include <math.h>
+#include <stdint.h>
+#include <strings.h>
+
+#include "math_private.h"
+
+/*
+ * Scan a string of hexadecimal digits (the format nan(3) expects) and
+ * make a bit array (using the local endianness). We stop when we
+ * encounter an invalid character, NUL, etc. If we overflow, we do
+ * the same as gcc's __builtin_nan(), namely, discard the high order bits.
+ *
+ * The format this routine accepts needs to be compatible with what is used
+ * in contrib/gdtoa/hexnan.c (for strtod/scanf) and what is used in
+ * __builtin_nan(). In fact, we're only 100% compatible for strings we
+ * consider valid, so we might be violating the C standard. But it's
+ * impossible to use nan(3) portably anyway, so this seems good enough.
+ */
+void
+_scan_nan(uint32_t *words, int num_words, const char *s)
+{
+ int si; /* index into s */
+ int bitpos; /* index into words (in bits) */
+
+ bzero(words, num_words * sizeof(uint32_t));
+
+ /* Allow a leading '0x'. (It's expected, but redundant.) */
+ if (s[0] == '0' && (s[1] == 'x' || s[1] == 'X'))
+ s += 2;
+
+ /* Scan forwards in the string, looking for the end of the sequence. */
+ for (si = 0; isxdigit(s[si]); si++)
+ ;
+
+ /* Scan backwards, filling in the bits in words[] as we go. */
+#if _BYTE_ORDER == _LITTLE_ENDIAN
+ for (bitpos = 0; bitpos < 32 * num_words; bitpos += 4) {
+#else
+ for (bitpos = 32 * num_words - 4; bitpos >= 0; bitpos -= 4) {
+#endif
+ if (--si < 0)
+ break;
+ words[bitpos / 32] |= digittoint(s[si]) << (bitpos % 32);
+ }
+}
+
+double
+nan(const char *s)
+{
+ union {
+ double d;
+ uint32_t bits[2];
+ } u;
+
+ _scan_nan(u.bits, 2, s);
+#if _BYTE_ORDER == _LITTLE_ENDIAN
+ u.bits[1] |= 0x7ff80000;
+#else
+ u.bits[0] |= 0x7ff80000;
+#endif
+ return (u.d);
+}
+
+float
+nanf(const char *s)
+{
+ union {
+ float f;
+ uint32_t bits[1];
+ } u;
+
+ _scan_nan(u.bits, 1, s);
+ u.bits[0] |= 0x7fc00000;
+ return (u.f);
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(nan, nanl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nearbyint.c b/libm/upstream-freebsd/lib/msun/src/s_nearbyint.c
new file mode 100644
index 0000000..063f8d7
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nearbyint.c
@@ -0,0 +1,59 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <fenv.h>
+#include <math.h>
+
+/*
+ * We save and restore the floating-point environment to avoid raising
+ * an inexact exception. We can get away with using fesetenv()
+ * instead of feclearexcept()/feupdateenv() to restore the environment
+ * because the only exception defined for rint() is overflow, and
+ * rounding can't overflow as long as emax >= p.
+ *
+ * The volatile keyword is needed below because clang incorrectly assumes
+ * that rint won't raise any floating-point exceptions. Declaring ret volatile
+ * is sufficient to trick the compiler into doing the right thing.
+ */
+#define DECL(type, fn, rint) \
+type \
+fn(type x) \
+{ \
+ volatile type ret; \
+ fenv_t env; \
+ \
+ fegetenv(&env); \
+ ret = rint(x); \
+ fesetenv(&env); \
+ return (ret); \
+}
+
+DECL(double, nearbyint, rint)
+DECL(float, nearbyintf, rintf)
+DECL(long double, nearbyintl, rintl)
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nextafter.c b/libm/upstream-freebsd/lib/msun/src/s_nextafter.c
new file mode 100644
index 0000000..52dd21c
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nextafter.c
@@ -0,0 +1,83 @@
+/* @(#)s_nextafter.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* IEEE functions
+ * nextafter(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+double
+nextafter(double x, double y)
+{
+ volatile double t;
+ int32_t hx,hy,ix,iy;
+ u_int32_t lx,ly;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) || /* x is nan */
+ ((iy>=0x7ff00000)&&((iy-0x7ff00000)|ly)!=0)) /* y is nan */
+ return x+y;
+ if(x==y) return y; /* x=y, return y */
+ if((ix|lx)==0) { /* x == 0 */
+ INSERT_WORDS(x,hy&0x80000000,1); /* return +-minsubnormal */
+ t = x*x;
+ if(t==x) return t; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy||((hx==hy)&&(lx>ly))) { /* x > y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x < y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy||((hx==hy)&&(lx>ly))){/* x < y, x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x > y, x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ }
+ hy = hx&0x7ff00000;
+ if(hy>=0x7ff00000) return x+x; /* overflow */
+ if(hy<0x00100000) { /* underflow */
+ t = x*x;
+ if(t!=x) { /* raise underflow flag */
+ INSERT_WORDS(y,hx,lx);
+ return y;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(nextafter, nexttoward);
+__weak_reference(nextafter, nexttowardl);
+__weak_reference(nextafter, nextafterl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nextafterf.c b/libm/upstream-freebsd/lib/msun/src/s_nextafterf.c
new file mode 100644
index 0000000..96e21ef
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nextafterf.c
@@ -0,0 +1,66 @@
+/* s_nextafterf.c -- float version of s_nextafter.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+float
+nextafterf(float x, float y)
+{
+ volatile float t;
+ int32_t hx,hy,ix,iy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ ix = hx&0x7fffffff; /* |x| */
+ iy = hy&0x7fffffff; /* |y| */
+
+ if((ix>0x7f800000) || /* x is nan */
+ (iy>0x7f800000)) /* y is nan */
+ return x+y;
+ if(x==y) return y; /* x=y, return y */
+ if(ix==0) { /* x == 0 */
+ SET_FLOAT_WORD(x,(hy&0x80000000)|1);/* return +-minsubnormal */
+ t = x*x;
+ if(t==x) return t; else return x; /* raise underflow flag */
+ }
+ if(hx>=0) { /* x > 0 */
+ if(hx>hy) { /* x > y, x -= ulp */
+ hx -= 1;
+ } else { /* x < y, x += ulp */
+ hx += 1;
+ }
+ } else { /* x < 0 */
+ if(hy>=0||hx>hy){ /* x < y, x -= ulp */
+ hx -= 1;
+ } else { /* x > y, x += ulp */
+ hx += 1;
+ }
+ }
+ hy = hx&0x7f800000;
+ if(hy>=0x7f800000) return x+x; /* overflow */
+ if(hy<0x00800000) { /* underflow */
+ t = x*x;
+ if(t!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(y,hx);
+ return y;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nextafterl.c b/libm/upstream-freebsd/lib/msun/src/s_nextafterl.c
new file mode 100644
index 0000000..9c61a43
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nextafterl.c
@@ -0,0 +1,80 @@
+/* @(#)s_nextafter.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* IEEE functions
+ * nextafter(x,y)
+ * return the next machine floating-point number of x in the
+ * direction toward y.
+ * Special cases:
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#if LDBL_MAX_EXP != 0x4000
+#error "Unsupported long double format"
+#endif
+
+long double
+nextafterl(long double x, long double y)
+{
+ volatile long double t;
+ union IEEEl2bits ux, uy;
+
+ ux.e = x;
+ uy.e = y;
+
+ if ((ux.bits.exp == 0x7fff &&
+ ((ux.bits.manh&~LDBL_NBIT)|ux.bits.manl) != 0) ||
+ (uy.bits.exp == 0x7fff &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
+ return x+y; /* x or y is nan */
+ if(x==y) return y; /* x=y, return y */
+ if(x==0.0) {
+ ux.bits.manh = 0; /* return +-minsubnormal */
+ ux.bits.manl = 1;
+ ux.bits.sign = uy.bits.sign;
+ t = ux.e*ux.e;
+ if(t==ux.e) return t; else return ux.e; /* raise underflow flag */
+ }
+ if(x>0.0 ^ x<y) { /* x -= ulp */
+ if(ux.bits.manl==0) {
+ if ((ux.bits.manh&~LDBL_NBIT)==0)
+ ux.bits.exp -= 1;
+ ux.bits.manh = (ux.bits.manh - 1) | (ux.bits.manh & LDBL_NBIT);
+ }
+ ux.bits.manl -= 1;
+ } else { /* x += ulp */
+ ux.bits.manl += 1;
+ if(ux.bits.manl==0) {
+ ux.bits.manh = (ux.bits.manh + 1) | (ux.bits.manh & LDBL_NBIT);
+ if ((ux.bits.manh&~LDBL_NBIT)==0)
+ ux.bits.exp += 1;
+ }
+ }
+ if(ux.bits.exp==0x7fff) return x+x; /* overflow */
+ if(ux.bits.exp==0) { /* underflow */
+ mask_nbit_l(ux);
+ t = ux.e * ux.e;
+ if(t!=ux.e) /* raise underflow flag */
+ return ux.e;
+ }
+ return ux.e;
+}
+
+__strong_reference(nextafterl, nexttowardl);
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nexttoward.c b/libm/upstream-freebsd/lib/msun/src/s_nexttoward.c
new file mode 100644
index 0000000..b2a50d3
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nexttoward.c
@@ -0,0 +1,72 @@
+/* @(#)s_nextafter.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * We assume that a long double has a 15-bit exponent. On systems
+ * where long double is the same as double, nexttoward() is an alias
+ * for nextafter(), so we don't use this routine.
+ */
+
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#if LDBL_MAX_EXP != 0x4000
+#error "Unsupported long double format"
+#endif
+
+double
+nexttoward(double x, long double y)
+{
+ union IEEEl2bits uy;
+ volatile double t;
+ int32_t hx,ix;
+ u_int32_t lx;
+
+ EXTRACT_WORDS(hx,lx,x);
+ ix = hx&0x7fffffff; /* |x| */
+ uy.e = y;
+
+ if(((ix>=0x7ff00000)&&((ix-0x7ff00000)|lx)!=0) ||
+ (uy.bits.exp == 0x7fff &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
+ return x+y; /* x or y is nan */
+ if(x==y) return (double)y; /* x=y, return y */
+ if(x==0.0) {
+ INSERT_WORDS(x,uy.bits.sign<<31,1); /* return +-minsubnormal */
+ t = x*x;
+ if(t==x) return t; else return x; /* raise underflow flag */
+ }
+ if(hx>0.0 ^ x < y) { /* x -= ulp */
+ if(lx==0) hx -= 1;
+ lx -= 1;
+ } else { /* x += ulp */
+ lx += 1;
+ if(lx==0) hx += 1;
+ }
+ ix = hx&0x7ff00000;
+ if(ix>=0x7ff00000) return x+x; /* overflow */
+ if(ix<0x00100000) { /* underflow */
+ t = x*x;
+ if(t!=x) { /* raise underflow flag */
+ INSERT_WORDS(x,hx,lx);
+ return x;
+ }
+ }
+ INSERT_WORDS(x,hx,lx);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_nexttowardf.c b/libm/upstream-freebsd/lib/msun/src/s_nexttowardf.c
new file mode 100644
index 0000000..9ddfff9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_nexttowardf.c
@@ -0,0 +1,59 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#define LDBL_INFNAN_EXP (LDBL_MAX_EXP * 2 - 1)
+
+float
+nexttowardf(float x, long double y)
+{
+ union IEEEl2bits uy;
+ volatile float t;
+ int32_t hx,ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx&0x7fffffff; /* |x| */
+ uy.e = y;
+
+ if((ix>0x7f800000) ||
+ (uy.bits.exp == LDBL_INFNAN_EXP &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl) != 0))
+ return x+y; /* x or y is nan */
+ if(x==y) return (float)y; /* x=y, return y */
+ if(ix==0) { /* x == 0 */
+ SET_FLOAT_WORD(x,(uy.bits.sign<<31)|1);/* return +-minsubnormal */
+ t = x*x;
+ if(t==x) return t; else return x; /* raise underflow flag */
+ }
+ if(hx>=0 ^ x < y) /* x -= ulp */
+ hx -= 1;
+ else /* x += ulp */
+ hx += 1;
+ ix = hx&0x7f800000;
+ if(ix>=0x7f800000) return x+x; /* overflow */
+ if(ix<0x00800000) { /* underflow */
+ t = x*x;
+ if(t!=x) { /* raise underflow flag */
+ SET_FLOAT_WORD(x,hx);
+ return x;
+ }
+ }
+ SET_FLOAT_WORD(x,hx);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_remquo.c b/libm/upstream-freebsd/lib/msun/src/s_remquo.c
new file mode 100644
index 0000000..d811c69
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_remquo.c
@@ -0,0 +1,159 @@
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double Zero[] = {0.0, -0.0,};
+
+/*
+ * Return the IEEE remainder and set *quo to the last n bits of the
+ * quotient, rounded to the nearest integer. We choose n=31 because
+ * we wind up computing all the integer bits of the quotient anyway as
+ * a side-effect of computing the remainder by the shift and subtract
+ * method. In practice, this is far more bits than are needed to use
+ * remquo in reduction algorithms.
+ */
+double
+remquo(double x, double y, int *quo)
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int32_t lx,ly,lz,q,sxy;
+
+ EXTRACT_WORDS(hx,lx,x);
+ EXTRACT_WORDS(hy,ly,y);
+ sxy = (hx ^ hy) & 0x80000000;
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if((hy|ly)==0||(hx>=0x7ff00000)|| /* y=0,or x not finite */
+ ((hy|((ly|-ly)>>31))>0x7ff00000)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(hx<=hy) {
+ if((hx<hy)||(lx<ly)) {
+ q = 0;
+ goto fixup; /* |x|<|y| return x or x-y */
+ }
+ if(lx==ly) {
+ *quo = (sxy ? -1 : 1);
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+ }
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00100000) { /* subnormal x */
+ if(hx==0) {
+ for (ix = -1043, i=lx; i>0; i<<=1) ix -=1;
+ } else {
+ for (ix = -1022,i=(hx<<11); i>0; i<<=1) ix -=1;
+ }
+ } else ix = (hx>>20)-1023;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00100000) { /* subnormal y */
+ if(hy==0) {
+ for (iy = -1043, i=ly; i>0; i<<=1) iy -=1;
+ } else {
+ for (iy = -1022,i=(hy<<11); i>0; i<<=1) iy -=1;
+ }
+ } else iy = (hy>>20)-1023;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -1022)
+ hx = 0x00100000|(0x000fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -1022-ix;
+ if(n<=31) {
+ hx = (hx<<n)|(lx>>(32-n));
+ lx <<= n;
+ } else {
+ hx = lx<<(n-32);
+ lx = 0;
+ }
+ }
+ if(iy >= -1022)
+ hy = 0x00100000|(0x000fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -1022-iy;
+ if(n<=31) {
+ hy = (hy<<n)|(ly>>(32-n));
+ ly <<= n;
+ } else {
+ hy = ly<<(n-32);
+ ly = 0;
+ }
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ q = 0;
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>31); lx = lx+lx;}
+ else {hx = hz+hz+(lz>>31); lx = lz+lz; q++;}
+ q <<= 1;
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;q++;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) { /* return sign(x)*0 */
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return Zero[(u_int32_t)sx>>31];
+ }
+ while(hx<0x00100000) { /* normalize x */
+ hx = hx+hx+(lx>>31); lx = lx+lx;
+ iy -= 1;
+ }
+ if(iy>= -1022) { /* normalize output */
+ hx = ((hx-0x00100000)|((iy+1023)<<20));
+ } else { /* subnormal output */
+ n = -1022 - iy;
+ if(n<=20) {
+ lx = (lx>>n)|((u_int32_t)hx<<(32-n));
+ hx >>= n;
+ } else if (n<=31) {
+ lx = (hx<<(32-n))|(lx>>n); hx = 0;
+ } else {
+ lx = hx>>(n-32); hx = 0;
+ }
+ }
+fixup:
+ INSERT_WORDS(x,hx,lx);
+ y = fabs(y);
+ if (y < 0x1p-1021) {
+ if (x+x>y || (x+x==y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+ } else if (x>0.5*y || (x==0.5*y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+ GET_HIGH_WORD(hx,x);
+ SET_HIGH_WORD(x,hx^sx);
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return x;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(remquo, remquol);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_remquof.c b/libm/upstream-freebsd/lib/msun/src/s_remquof.c
new file mode 100644
index 0000000..f7b4c00
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_remquof.c
@@ -0,0 +1,122 @@
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const float Zero[] = {0.0, -0.0,};
+
+/*
+ * Return the IEEE remainder and set *quo to the last n bits of the
+ * quotient, rounded to the nearest integer. We choose n=31 because
+ * we wind up computing all the integer bits of the quotient anyway as
+ * a side-effect of computing the remainder by the shift and subtract
+ * method. In practice, this is far more bits than are needed to use
+ * remquo in reduction algorithms.
+ */
+float
+remquof(float x, float y, int *quo)
+{
+ int32_t n,hx,hy,hz,ix,iy,sx,i;
+ u_int32_t q,sxy;
+
+ GET_FLOAT_WORD(hx,x);
+ GET_FLOAT_WORD(hy,y);
+ sxy = (hx ^ hy) & 0x80000000;
+ sx = hx&0x80000000; /* sign of x */
+ hx ^=sx; /* |x| */
+ hy &= 0x7fffffff; /* |y| */
+
+ /* purge off exception values */
+ if(hy==0||hx>=0x7f800000||hy>0x7f800000) /* y=0,NaN;or x not finite */
+ return (x*y)/(x*y);
+ if(hx<hy) {
+ q = 0;
+ goto fixup; /* |x|<|y| return x or x-y */
+ } else if(hx==hy) {
+ *quo = (sxy ? -1 : 1);
+ return Zero[(u_int32_t)sx>>31]; /* |x|=|y| return x*0*/
+ }
+
+ /* determine ix = ilogb(x) */
+ if(hx<0x00800000) { /* subnormal x */
+ for (ix = -126,i=(hx<<8); i>0; i<<=1) ix -=1;
+ } else ix = (hx>>23)-127;
+
+ /* determine iy = ilogb(y) */
+ if(hy<0x00800000) { /* subnormal y */
+ for (iy = -126,i=(hy<<8); i>0; i<<=1) iy -=1;
+ } else iy = (hy>>23)-127;
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ if(ix >= -126)
+ hx = 0x00800000|(0x007fffff&hx);
+ else { /* subnormal x, shift x to normal */
+ n = -126-ix;
+ hx <<= n;
+ }
+ if(iy >= -126)
+ hy = 0x00800000|(0x007fffff&hy);
+ else { /* subnormal y, shift y to normal */
+ n = -126-iy;
+ hy <<= n;
+ }
+
+ /* fix point fmod */
+ n = ix - iy;
+ q = 0;
+ while(n--) {
+ hz=hx-hy;
+ if(hz<0) hx = hx << 1;
+ else {hx = hz << 1; q++;}
+ q <<= 1;
+ }
+ hz=hx-hy;
+ if(hz>=0) {hx=hz;q++;}
+
+ /* convert back to floating value and restore the sign */
+ if(hx==0) { /* return sign(x)*0 */
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return Zero[(u_int32_t)sx>>31];
+ }
+ while(hx<0x00800000) { /* normalize x */
+ hx <<= 1;
+ iy -= 1;
+ }
+ if(iy>= -126) { /* normalize output */
+ hx = ((hx-0x00800000)|((iy+127)<<23));
+ } else { /* subnormal output */
+ n = -126 - iy;
+ hx >>= n;
+ }
+fixup:
+ SET_FLOAT_WORD(x,hx);
+ y = fabsf(y);
+ if (y < 0x1p-125f) {
+ if (x+x>y || (x+x==y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+ } else if (x>0.5f*y || (x==0.5f*y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+ GET_FLOAT_WORD(hx,x);
+ SET_FLOAT_WORD(x,hx^sx);
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_remquol.c b/libm/upstream-freebsd/lib/msun/src/s_remquol.c
new file mode 100644
index 0000000..712651c
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_remquol.c
@@ -0,0 +1,178 @@
+/* @(#)e_fmod.c 1.3 95/01/18 */
+/*-
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunSoft, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+#if LDBL_MANL_SIZE > 32
+typedef uint64_t manl_t;
+#else
+typedef uint32_t manl_t;
+#endif
+
+#if LDBL_MANH_SIZE > 32
+typedef uint64_t manh_t;
+#else
+typedef uint32_t manh_t;
+#endif
+
+/*
+ * These macros add and remove an explicit integer bit in front of the
+ * fractional mantissa, if the architecture doesn't have such a bit by
+ * default already.
+ */
+#ifdef LDBL_IMPLICIT_NBIT
+#define SET_NBIT(hx) ((hx) | (1ULL << LDBL_MANH_SIZE))
+#define HFRAC_BITS LDBL_MANH_SIZE
+#else
+#define SET_NBIT(hx) (hx)
+#define HFRAC_BITS (LDBL_MANH_SIZE - 1)
+#endif
+
+#define MANL_SHIFT (LDBL_MANL_SIZE - 1)
+
+static const long double Zero[] = {0.0L, -0.0L};
+
+/*
+ * Return the IEEE remainder and set *quo to the last n bits of the
+ * quotient, rounded to the nearest integer. We choose n=31 because
+ * we wind up computing all the integer bits of the quotient anyway as
+ * a side-effect of computing the remainder by the shift and subtract
+ * method. In practice, this is far more bits than are needed to use
+ * remquo in reduction algorithms.
+ *
+ * Assumptions:
+ * - The low part of the mantissa fits in a manl_t exactly.
+ * - The high part of the mantissa fits in an int64_t with enough room
+ * for an explicit integer bit in front of the fractional bits.
+ */
+long double
+remquol(long double x, long double y, int *quo)
+{
+ union IEEEl2bits ux, uy;
+ int64_t hx,hz; /* We need a carry bit even if LDBL_MANH_SIZE is 32. */
+ manh_t hy;
+ manl_t lx,ly,lz;
+ int ix,iy,n,q,sx,sxy;
+
+ ux.e = x;
+ uy.e = y;
+ sx = ux.bits.sign;
+ sxy = sx ^ uy.bits.sign;
+ ux.bits.sign = 0; /* |x| */
+ uy.bits.sign = 0; /* |y| */
+ x = ux.e;
+
+ /* purge off exception values */
+ if((uy.bits.exp|uy.bits.manh|uy.bits.manl)==0 || /* y=0 */
+ (ux.bits.exp == BIAS + LDBL_MAX_EXP) || /* or x not finite */
+ (uy.bits.exp == BIAS + LDBL_MAX_EXP &&
+ ((uy.bits.manh&~LDBL_NBIT)|uy.bits.manl)!=0)) /* or y is NaN */
+ return (x*y)/(x*y);
+ if(ux.bits.exp<=uy.bits.exp) {
+ if((ux.bits.exp<uy.bits.exp) ||
+ (ux.bits.manh<=uy.bits.manh &&
+ (ux.bits.manh<uy.bits.manh ||
+ ux.bits.manl<uy.bits.manl))) {
+ q = 0;
+ goto fixup; /* |x|<|y| return x or x-y */
+ }
+ if(ux.bits.manh==uy.bits.manh && ux.bits.manl==uy.bits.manl) {
+ *quo = (sxy ? -1 : 1);
+ return Zero[sx]; /* |x|=|y| return x*0*/
+ }
+ }
+
+ /* determine ix = ilogb(x) */
+ if(ux.bits.exp == 0) { /* subnormal x */
+ ux.e *= 0x1.0p512;
+ ix = ux.bits.exp - (BIAS + 512);
+ } else {
+ ix = ux.bits.exp - BIAS;
+ }
+
+ /* determine iy = ilogb(y) */
+ if(uy.bits.exp == 0) { /* subnormal y */
+ uy.e *= 0x1.0p512;
+ iy = uy.bits.exp - (BIAS + 512);
+ } else {
+ iy = uy.bits.exp - BIAS;
+ }
+
+ /* set up {hx,lx}, {hy,ly} and align y to x */
+ hx = SET_NBIT(ux.bits.manh);
+ hy = SET_NBIT(uy.bits.manh);
+ lx = ux.bits.manl;
+ ly = uy.bits.manl;
+
+ /* fix point fmod */
+ n = ix - iy;
+ q = 0;
+
+ while(n--) {
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz<0){hx = hx+hx+(lx>>MANL_SHIFT); lx = lx+lx;}
+ else {hx = hz+hz+(lz>>MANL_SHIFT); lx = lz+lz; q++;}
+ q <<= 1;
+ }
+ hz=hx-hy;lz=lx-ly; if(lx<ly) hz -= 1;
+ if(hz>=0) {hx=hz;lx=lz;q++;}
+
+ /* convert back to floating value and restore the sign */
+ if((hx|lx)==0) { /* return sign(x)*0 */
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return Zero[sx];
+ }
+ while(hx<(1ULL<<HFRAC_BITS)) { /* normalize x */
+ hx = hx+hx+(lx>>MANL_SHIFT); lx = lx+lx;
+ iy -= 1;
+ }
+ ux.bits.manh = hx; /* The integer bit is truncated here if needed. */
+ ux.bits.manl = lx;
+ if (iy < LDBL_MIN_EXP) {
+ ux.bits.exp = iy + (BIAS + 512);
+ ux.e *= 0x1p-512;
+ } else {
+ ux.bits.exp = iy + BIAS;
+ }
+ ux.bits.sign = 0;
+ x = ux.e;
+fixup:
+ y = fabsl(y);
+ if (y < LDBL_MIN * 2) {
+ if (x+x>y || (x+x==y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+ } else if (x>0.5*y || (x==0.5*y && (q & 1))) {
+ q++;
+ x-=y;
+ }
+
+ ux.e = x;
+ ux.bits.sign ^= sx;
+ x = ux.e;
+
+ q &= 0x7fffffff;
+ *quo = (sxy ? -q : q);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_rint.c b/libm/upstream-freebsd/lib/msun/src/s_rint.c
new file mode 100644
index 0000000..c56f8fb
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_rint.c
@@ -0,0 +1,92 @@
+/* @(#)s_rint.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * rint(x)
+ * Return x rounded to integral value according to the prevailing
+ * rounding mode.
+ * Method:
+ * Using floating addition.
+ * Exception:
+ * Inexact flag raised if x not equal to rint(x).
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+TWO52[2]={
+ 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
+ -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
+};
+
+double
+rint(double x)
+{
+ int32_t i0,j0,sx;
+ u_int32_t i,i1;
+ double w,t;
+ EXTRACT_WORDS(i0,i1,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) {
+ if(((i0&0x7fffffff)|i1)==0) return x;
+ i1 |= (i0&0x0fffff);
+ i0 &= 0xfffe0000;
+ i0 |= ((i1|-i1)>>12)&0x80000;
+ SET_HIGH_WORD(x,i0);
+ STRICT_ASSIGN(double,w,TWO52[sx]+x);
+ t = w-TWO52[sx];
+ GET_HIGH_WORD(i0,t);
+ SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ i>>=1;
+ if(((i0&i)|i1)!=0) {
+ /*
+ * Some bit is set after the 0.5 bit. To avoid the
+ * possibility of errors from double rounding in
+ * w = TWO52[sx]+x, adjust the 0.25 bit to a lower
+ * guard bit. We do this for all j0<=51. The
+ * adjustment is trickiest for j0==18 and j0==19
+ * since then it spans the word boundary.
+ */
+ if(j0==19) i1 = 0x40000000; else
+ if(j0==18) i1 = 0x80000000; else
+ i0 = (i0&(~i))|((0x20000)>>j0);
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ i>>=1;
+ if((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(j0-20));
+ }
+ INSERT_WORDS(x,i0,i1);
+ STRICT_ASSIGN(double,w,TWO52[sx]+x);
+ return w-TWO52[sx];
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(rint, rintl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_rintf.c b/libm/upstream-freebsd/lib/msun/src/s_rintf.c
new file mode 100644
index 0000000..f8743a4
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_rintf.c
@@ -0,0 +1,53 @@
+/* s_rintf.c -- float version of s_rint.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <stdint.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+TWO23[2]={
+ 8.3886080000e+06, /* 0x4b000000 */
+ -8.3886080000e+06, /* 0xcb000000 */
+};
+
+float
+rintf(float x)
+{
+ int32_t i0,j0,sx;
+ float w,t;
+ GET_FLOAT_WORD(i0,x);
+ sx = (i0>>31)&1;
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) {
+ if((i0&0x7fffffff)==0) return x;
+ STRICT_ASSIGN(float,w,TWO23[sx]+x);
+ t = w-TWO23[sx];
+ GET_FLOAT_WORD(i0,t);
+ SET_FLOAT_WORD(t,(i0&0x7fffffff)|(sx<<31));
+ return t;
+ }
+ STRICT_ASSIGN(float,w,TWO23[sx]+x);
+ return w-TWO23[sx];
+ }
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_rintl.c b/libm/upstream-freebsd/lib/msun/src/s_rintl.c
new file mode 100644
index 0000000..b43df89
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_rintl.c
@@ -0,0 +1,90 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual bias, min exp and expsign packing. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const float
+shift[2] = {
+#if LDBL_MANT_DIG == 64
+ 0x1.0p63, -0x1.0p63
+#elif LDBL_MANT_DIG == 113
+ 0x1.0p112, -0x1.0p112
+#else
+#error "Unsupported long double format"
+#endif
+};
+static const float zero[2] = { 0.0, -0.0 };
+
+long double
+rintl(long double x)
+{
+ union IEEEl2bits u;
+ uint32_t expsign;
+ int ex, sign;
+
+ u.e = x;
+ expsign = u.xbits.expsign;
+ ex = expsign & 0x7fff;
+
+ if (ex >= BIAS + LDBL_MANT_DIG - 1) {
+ if (ex == BIAS + LDBL_MAX_EXP)
+ return (x + x); /* Inf, NaN, or unsupported format */
+ return (x); /* finite and already an integer */
+ }
+ sign = expsign >> 15;
+
+ /*
+ * The following code assumes that intermediate results are
+ * evaluated in long double precision. If they are evaluated in
+ * greater precision, double rounding may occur, and if they are
+ * evaluated in less precision (as on i386), results will be
+ * wildly incorrect.
+ */
+ x += shift[sign];
+ x -= shift[sign];
+
+ /*
+ * If the result is +-0, then it must have the same sign as x, but
+ * the above calculation doesn't always give this. Fix up the sign.
+ */
+ if (ex < BIAS && x == 0.0L)
+ return (zero[sign]);
+
+ return (x);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_round.c b/libm/upstream-freebsd/lib/msun/src/s_round.c
new file mode 100644
index 0000000..fab3019
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_round.c
@@ -0,0 +1,60 @@
+/*-
+ * Copyright (c) 2003, Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+double
+round(double x)
+{
+ double t;
+ uint32_t hx;
+
+ GET_HIGH_WORD(hx, x);
+ if ((hx & 0x7fffffff) == 0x7ff00000)
+ return (x + x);
+
+ if (!(hx & 0x80000000)) {
+ t = floor(x);
+ if (t - x <= -0.5)
+ t += 1;
+ return (t);
+ } else {
+ t = floor(-x);
+ if (t + x <= -0.5)
+ t += 1;
+ return (-t);
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(round, roundl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_roundf.c b/libm/upstream-freebsd/lib/msun/src/s_roundf.c
new file mode 100644
index 0000000..e7e2eb9
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_roundf.c
@@ -0,0 +1,54 @@
+/*-
+ * Copyright (c) 2003, Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+float
+roundf(float x)
+{
+ float t;
+ uint32_t hx;
+
+ GET_FLOAT_WORD(hx, x);
+ if ((hx & 0x7fffffff) == 0x7f800000)
+ return (x + x);
+
+ if (!(hx & 0x80000000)) {
+ t = floorf(x);
+ if (t - x <= -0.5F)
+ t += 1;
+ return (t);
+ } else {
+ t = floorf(-x);
+ if (t + x <= -0.5F)
+ t += 1;
+ return (-t);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_roundl.c b/libm/upstream-freebsd/lib/msun/src/s_roundl.c
new file mode 100644
index 0000000..2d15e13
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_roundl.c
@@ -0,0 +1,62 @@
+/*-
+ * Copyright (c) 2003, Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "fpmath.h"
+#include "math.h"
+#include "math_private.h"
+
+long double
+roundl(long double x)
+{
+ long double t;
+ uint16_t hx;
+
+ GET_LDBL_EXPSIGN(hx, x);
+ if ((hx & 0x7fff) == 0x7fff)
+ return (x + x);
+
+ ENTERI();
+
+ if (!(hx & 0x8000)) {
+ t = floorl(x);
+ if (t - x <= -0.5L)
+ t += 1;
+ RETURNI(t);
+ } else {
+ t = floorl(-x);
+ if (t + x <= -0.5L)
+ t += 1;
+ RETURNI(-t);
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_scalbln.c b/libm/upstream-freebsd/lib/msun/src/s_scalbln.c
new file mode 100644
index 0000000..8e61377
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_scalbln.c
@@ -0,0 +1,54 @@
+/*-
+ * Copyright (c) 2004 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD: head/lib/msun/src/s_scalbln.c 278339 2015-02-07 00:38:18Z kargl $");
+
+#include <math.h>
+
+#define NMAX 65536
+#define NMIN -65536
+
+double
+scalbln(double x, long n)
+{
+
+ return (scalbn(x, (n > NMAX) ? NMAX : (n < NMIN) ? NMIN : (int)n));
+}
+
+float
+scalblnf(float x, long n)
+{
+
+ return (scalbnf(x, (n > NMAX) ? NMAX : (n < NMIN) ? NMIN : (int)n));
+}
+
+long double
+scalblnl(long double x, long n)
+{
+
+ return (scalbnl(x, (n > NMAX) ? NMAX : (n < NMIN) ? NMIN : (int)n));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_scalbn.c b/libm/upstream-freebsd/lib/msun/src/s_scalbn.c
new file mode 100644
index 0000000..e7efaab
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_scalbn.c
@@ -0,0 +1,66 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+/*
+ * scalbn (double x, int n)
+ * scalbn(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+#include <sys/cdefs.h>
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double
+two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
+twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */
+huge = 1.0e+300,
+tiny = 1.0e-300;
+
+double
+scalbn (double x, int n)
+{
+ int32_t k,hx,lx;
+ EXTRACT_WORDS(hx,lx,x);
+ k = (hx&0x7ff00000)>>20; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((lx|(hx&0x7fffffff))==0) return x; /* +-0 */
+ x *= two54;
+ GET_HIGH_WORD(hx,x);
+ k = ((hx&0x7ff00000)>>20) - 54;
+ if (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0x7ff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0x7fe) return huge*copysign(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20)); return x;}
+ if (k <= -54)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysign(huge,x); /*overflow*/
+ else return tiny*copysign(tiny,x); /*underflow*/
+ k += 54; /* subnormal result */
+ SET_HIGH_WORD(x,(hx&0x800fffff)|(k<<20));
+ return x*twom54;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(scalbn, ldexpl);
+__weak_reference(scalbn, scalbnl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_scalbnf.c b/libm/upstream-freebsd/lib/msun/src/s_scalbnf.c
new file mode 100644
index 0000000..7666c74
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_scalbnf.c
@@ -0,0 +1,58 @@
+/* s_scalbnf.c -- float version of s_scalbn.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+#include <sys/cdefs.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const float
+two25 = 3.355443200e+07, /* 0x4c000000 */
+twom25 = 2.9802322388e-08, /* 0x33000000 */
+huge = 1.0e+30,
+tiny = 1.0e-30;
+
+float
+scalbnf (float x, int n)
+{
+ int32_t k,ix;
+ GET_FLOAT_WORD(ix,x);
+ k = (ix&0x7f800000)>>23; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((ix&0x7fffffff)==0) return x; /* +-0 */
+ x *= two25;
+ GET_FLOAT_WORD(ix,x);
+ k = ((ix&0x7f800000)>>23) - 25;
+ if (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0xff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k > 0xfe) return huge*copysignf(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23)); return x;}
+ if (k <= -25)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysignf(huge,x); /*overflow*/
+ else return tiny*copysignf(tiny,x); /*underflow*/
+ k += 25; /* subnormal result */
+ SET_FLOAT_WORD(x,(ix&0x807fffff)|(k<<23));
+ return x*twom25;
+}
+
+__strong_reference(scalbnf, ldexpf);
diff --git a/libm/upstream-freebsd/lib/msun/src/s_scalbnl.c b/libm/upstream-freebsd/lib/msun/src/s_scalbnl.c
new file mode 100644
index 0000000..fc89f8d
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_scalbnl.c
@@ -0,0 +1,71 @@
+/* @(#)s_scalbn.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#ifndef lint
+static char rcsid[] = "$FreeBSD$";
+#endif
+
+/*
+ * scalbnl (long double x, int n)
+ * scalbnl(x,n) returns x* 2**n computed by exponent
+ * manipulation rather than by actually performing an
+ * exponentiation or a multiplication.
+ */
+
+/*
+ * We assume that a long double has a 15-bit exponent. On systems
+ * where long double is the same as double, scalbnl() is an alias
+ * for scalbn(), so we don't use this routine.
+ */
+
+#include <sys/cdefs.h>
+#include <float.h>
+#include <math.h>
+
+#include "fpmath.h"
+
+#if LDBL_MAX_EXP != 0x4000
+#error "Unsupported long double format"
+#endif
+
+static const long double
+huge = 0x1p16000L,
+tiny = 0x1p-16000L;
+
+long double
+scalbnl (long double x, int n)
+{
+ union IEEEl2bits u;
+ int k;
+ u.e = x;
+ k = u.bits.exp; /* extract exponent */
+ if (k==0) { /* 0 or subnormal x */
+ if ((u.bits.manh|u.bits.manl)==0) return x; /* +-0 */
+ u.e *= 0x1p+128;
+ k = u.bits.exp - 128;
+ if (n< -50000) return tiny*x; /*underflow*/
+ }
+ if (k==0x7fff) return x+x; /* NaN or Inf */
+ k = k+n;
+ if (k >= 0x7fff) return huge*copysignl(huge,x); /* overflow */
+ if (k > 0) /* normal result */
+ {u.bits.exp = k; return u.e;}
+ if (k <= -128)
+ if (n > 50000) /* in case integer overflow in n+k */
+ return huge*copysign(huge,x); /*overflow*/
+ else return tiny*copysign(tiny,x); /*underflow*/
+ k += 128; /* subnormal result */
+ u.bits.exp = k;
+ return u.e*0x1p-128;
+}
+
+__strong_reference(scalbnl, ldexpl);
diff --git a/libm/upstream-freebsd/lib/msun/src/s_signgam.c b/libm/upstream-freebsd/lib/msun/src/s_signgam.c
new file mode 100644
index 0000000..d67d591
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_signgam.c
@@ -0,0 +1,3 @@
+#include "math.h"
+#include "math_private.h"
+int signgam = 0;
diff --git a/libm/upstream-freebsd/lib/msun/src/s_significand.c b/libm/upstream-freebsd/lib/msun/src/s_significand.c
new file mode 100644
index 0000000..356e300
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_significand.c
@@ -0,0 +1,29 @@
+/* @(#)s_signif.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * significand(x) computes just
+ * scalb(x, (double) -ilogb(x)),
+ * for exercising the fraction-part(F) IEEE 754-1985 test vector.
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+double
+significand(double x)
+{
+ return __ieee754_scalb(x,(double) -ilogb(x));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_significandf.c b/libm/upstream-freebsd/lib/msun/src/s_significandf.c
new file mode 100644
index 0000000..ad030e2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_significandf.c
@@ -0,0 +1,26 @@
+/* s_significandf.c -- float version of s_significand.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+float
+significandf(float x)
+{
+ return __ieee754_scalbf(x,(float) -ilogbf(x));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_sin.c b/libm/upstream-freebsd/lib/msun/src/s_sin.c
new file mode 100644
index 0000000..17ea846
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_sin.c
@@ -0,0 +1,89 @@
+/* @(#)s_sin.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* sin(x)
+ * Return sine function of x.
+ *
+ * kernel function:
+ * __kernel_sin ... sine function on [-pi/4,pi/4]
+ * __kernel_cos ... cose function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_REM_PIO2
+#include "math_private.h"
+#include "e_rem_pio2.c"
+
+double
+sin(double x)
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) {
+ if(ix<0x3e500000) /* |x| < 2**-26 */
+ {if((int)x==0) return x;} /* generate inexact */
+ return __kernel_sin(x,z,0);
+ }
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x;
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ switch(n&3) {
+ case 0: return __kernel_sin(y[0],y[1],1);
+ case 1: return __kernel_cos(y[0],y[1]);
+ case 2: return -__kernel_sin(y[0],y[1],1);
+ default:
+ return -__kernel_cos(y[0],y[1]);
+ }
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(sin, sinl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_sinf.c b/libm/upstream-freebsd/lib/msun/src/s_sinf.c
new file mode 100644
index 0000000..41b5dc1
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_sinf.c
@@ -0,0 +1,85 @@
+/* s_sinf.c -- float version of s_sin.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_KERNEL_COSDF
+#define INLINE_KERNEL_SINDF
+#define INLINE_REM_PIO2F
+#include "math_private.h"
+#include "e_rem_pio2f.c"
+#include "k_cosf.c"
+#include "k_sinf.c"
+
+/* Small multiples of pi/2 rounded to double precision. */
+static const double
+s1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
+s2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
+s3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
+s4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
+
+float
+sinf(float x)
+{
+ double y;
+ int32_t n, hx, ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx & 0x7fffffff;
+
+ if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
+ if(ix<0x39800000) /* |x| < 2**-12 */
+ if(((int)x)==0) return x; /* x with inexact if x != 0 */
+ return __kernel_sindf(x);
+ }
+ if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */
+ if(ix<=0x4016cbe3) { /* |x| ~<= 3pi/4 */
+ if(hx>0)
+ return __kernel_cosdf(x - s1pio2);
+ else
+ return -__kernel_cosdf(x + s1pio2);
+ } else
+ return __kernel_sindf((hx > 0 ? s2pio2 : -s2pio2) - x);
+ }
+ if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */
+ if(ix<=0x40afeddf) { /* |x| ~<= 7*pi/4 */
+ if(hx>0)
+ return -__kernel_cosdf(x - s3pio2);
+ else
+ return __kernel_cosdf(x + s3pio2);
+ } else
+ return __kernel_sindf(x + (hx > 0 ? -s4pio2 : s4pio2));
+ }
+
+ /* sin(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* general argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,&y);
+ switch(n&3) {
+ case 0: return __kernel_sindf(y);
+ case 1: return __kernel_cosdf(y);
+ case 2: return __kernel_sindf(-y);
+ default:
+ return -__kernel_cosdf(y);
+ }
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_sinl.c b/libm/upstream-freebsd/lib/msun/src/s_sinl.c
new file mode 100644
index 0000000..f454f8f
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_sinl.c
@@ -0,0 +1,93 @@
+/*-
+ * Copyright (c) 2007 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#if LDBL_MANT_DIG == 64
+#include "../ld80/e_rem_pio2l.h"
+#elif LDBL_MANT_DIG == 113
+#include "../ld128/e_rem_pio2l.h"
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+sinl(long double x)
+{
+ union IEEEl2bits z;
+ int e0, s;
+ long double y[2];
+ long double hi, lo;
+
+ z.e = x;
+ s = z.bits.sign;
+ z.bits.sign = 0;
+
+ /* If x = +-0 or x is a subnormal number, then sin(x) = x */
+ if (z.bits.exp == 0)
+ return (x);
+
+ /* If x = NaN or Inf, then sin(x) = NaN. */
+ if (z.bits.exp == 32767)
+ return ((x - x) / (x - x));
+
+ ENTERI();
+
+ /* Optimize the case where x is already within range. */
+ if (z.e < M_PI_4) {
+ hi = __kernel_sinl(z.e, 0, 0);
+ RETURNI(s ? -hi : hi);
+ }
+
+ e0 = __ieee754_rem_pio2l(x, y);
+ hi = y[0];
+ lo = y[1];
+
+ switch (e0 & 3) {
+ case 0:
+ hi = __kernel_sinl(hi, lo, 1);
+ break;
+ case 1:
+ hi = __kernel_cosl(hi, lo);
+ break;
+ case 2:
+ hi = - __kernel_sinl(hi, lo, 1);
+ break;
+ case 3:
+ hi = - __kernel_cosl(hi, lo);
+ break;
+ }
+
+ RETURNI(hi);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tan.c b/libm/upstream-freebsd/lib/msun/src/s_tan.c
new file mode 100644
index 0000000..196c27e
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tan.c
@@ -0,0 +1,83 @@
+/* @(#)s_tan.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* tan(x)
+ * Return tangent function of x.
+ *
+ * kernel function:
+ * __kernel_tan ... tangent function on [-pi/4,pi/4]
+ * __ieee754_rem_pio2 ... argument reduction routine
+ *
+ * Method.
+ * Let S,C and T denote the sin, cos and tan respectively on
+ * [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
+ * in [-pi/4 , +pi/4], and let n = k mod 4.
+ * We have
+ *
+ * n sin(x) cos(x) tan(x)
+ * ----------------------------------------------------------
+ * 0 S C T
+ * 1 C -S -1/T
+ * 2 -S -C T
+ * 3 -C S -1/T
+ * ----------------------------------------------------------
+ *
+ * Special cases:
+ * Let trig be any of sin, cos, or tan.
+ * trig(+-INF) is NaN, with signals;
+ * trig(NaN) is that NaN;
+ *
+ * Accuracy:
+ * TRIG(x) returns trig(x) nearly rounded
+ */
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_REM_PIO2
+#include "math_private.h"
+#include "e_rem_pio2.c"
+
+double
+tan(double x)
+{
+ double y[2],z=0.0;
+ int32_t n, ix;
+
+ /* High word of x. */
+ GET_HIGH_WORD(ix,x);
+
+ /* |x| ~< pi/4 */
+ ix &= 0x7fffffff;
+ if(ix <= 0x3fe921fb) {
+ if(ix<0x3e400000) /* x < 2**-27 */
+ if((int)x==0) return x; /* generate inexact */
+ return __kernel_tan(x,z,1);
+ }
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7ff00000) return x-x; /* NaN */
+
+ /* argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2(x,y);
+ return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
+ -1 -- n odd */
+ }
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(tan, tanl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tanf.c b/libm/upstream-freebsd/lib/msun/src/s_tanf.c
new file mode 100644
index 0000000..4fe8c17
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tanf.c
@@ -0,0 +1,72 @@
+/* s_tanf.c -- float version of s_tan.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ * Optimized by Bruce D. Evans.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <float.h>
+
+#include "math.h"
+#define INLINE_KERNEL_TANDF
+#define INLINE_REM_PIO2F
+#include "math_private.h"
+#include "e_rem_pio2f.c"
+#include "k_tanf.c"
+
+/* Small multiples of pi/2 rounded to double precision. */
+static const double
+t1pio2 = 1*M_PI_2, /* 0x3FF921FB, 0x54442D18 */
+t2pio2 = 2*M_PI_2, /* 0x400921FB, 0x54442D18 */
+t3pio2 = 3*M_PI_2, /* 0x4012D97C, 0x7F3321D2 */
+t4pio2 = 4*M_PI_2; /* 0x401921FB, 0x54442D18 */
+
+float
+tanf(float x)
+{
+ double y;
+ int32_t n, hx, ix;
+
+ GET_FLOAT_WORD(hx,x);
+ ix = hx & 0x7fffffff;
+
+ if(ix <= 0x3f490fda) { /* |x| ~<= pi/4 */
+ if(ix<0x39800000) /* |x| < 2**-12 */
+ if(((int)x)==0) return x; /* x with inexact if x != 0 */
+ return __kernel_tandf(x,1);
+ }
+ if(ix<=0x407b53d1) { /* |x| ~<= 5*pi/4 */
+ if(ix<=0x4016cbe3) /* |x| ~<= 3pi/4 */
+ return __kernel_tandf(x + (hx>0 ? -t1pio2 : t1pio2), -1);
+ else
+ return __kernel_tandf(x + (hx>0 ? -t2pio2 : t2pio2), 1);
+ }
+ if(ix<=0x40e231d5) { /* |x| ~<= 9*pi/4 */
+ if(ix<=0x40afeddf) /* |x| ~<= 7*pi/4 */
+ return __kernel_tandf(x + (hx>0 ? -t3pio2 : t3pio2), -1);
+ else
+ return __kernel_tandf(x + (hx>0 ? -t4pio2 : t4pio2), 1);
+ }
+
+ /* tan(Inf or NaN) is NaN */
+ else if (ix>=0x7f800000) return x-x;
+
+ /* general argument reduction needed */
+ else {
+ n = __ieee754_rem_pio2f(x,&y);
+ /* integer parameter: 1 -- n even; -1 -- n odd */
+ return __kernel_tandf(y,1-((n&1)<<1));
+ }
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tanh.c b/libm/upstream-freebsd/lib/msun/src/s_tanh.c
new file mode 100644
index 0000000..6d26c69
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tanh.c
@@ -0,0 +1,84 @@
+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/* Tanh(x)
+ * Return the Hyperbolic Tangent of x
+ *
+ * Method :
+ * x -x
+ * e - e
+ * 0. tanh(x) is defined to be -----------
+ * x -x
+ * e + e
+ * 1. reduce x to non-negative by tanh(-x) = -tanh(x).
+ * 2. 0 <= x < 2**-28 : tanh(x) := x with inexact if x != 0
+ * -t
+ * 2**-28 <= x < 1 : tanh(x) := -----; t = expm1(-2x)
+ * t + 2
+ * 2
+ * 1 <= x < 22 : tanh(x) := 1 - -----; t = expm1(2x)
+ * t + 2
+ * 22 <= x <= INF : tanh(x) := 1.
+ *
+ * Special cases:
+ * tanh(NaN) is NaN;
+ * only tanh(0)=0 is exact for finite argument.
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile double tiny = 1.0e-300;
+static const double one = 1.0, two = 2.0, huge = 1.0e300;
+
+double
+tanh(double x)
+{
+ double t,z;
+ int32_t jx,ix;
+
+ GET_HIGH_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7ff00000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 22 */
+ if (ix < 0x40360000) { /* |x|<22 */
+ if (ix<0x3e300000) { /* |x|<2**-28 */
+ if(huge+x>one) return x; /* tanh(tiny) = tiny with inexact */
+ }
+ if (ix>=0x3ff00000) { /* |x|>=1 */
+ t = expm1(two*fabs(x));
+ z = one - two/(t+two);
+ } else {
+ t = expm1(-two*fabs(x));
+ z= -t/(t+two);
+ }
+ /* |x| >= 22, return +-1 */
+ } else {
+ z = one - tiny; /* raise inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
+
+#if (LDBL_MANT_DIG == 53)
+__weak_reference(tanh, tanhl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tanhf.c b/libm/upstream-freebsd/lib/msun/src/s_tanhf.c
new file mode 100644
index 0000000..f537be4
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tanhf.c
@@ -0,0 +1,57 @@
+/* s_tanhf.c -- float version of s_tanh.c.
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com.
+ */
+
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include "math.h"
+#include "math_private.h"
+
+static const volatile float tiny = 1.0e-30;
+static const float one=1.0, two=2.0, huge = 1.0e30;
+
+float
+tanhf(float x)
+{
+ float t,z;
+ int32_t jx,ix;
+
+ GET_FLOAT_WORD(jx,x);
+ ix = jx&0x7fffffff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7f800000) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ /* |x| < 9 */
+ if (ix < 0x41100000) { /* |x|<9 */
+ if (ix<0x39800000) { /* |x|<2**-12 */
+ if(huge+x>one) return x; /* tanh(tiny) = tiny with inexact */
+ }
+ if (ix>=0x3f800000) { /* |x|>=1 */
+ t = expm1f(two*fabsf(x));
+ z = one - two/(t+two);
+ } else {
+ t = expm1f(-two*fabsf(x));
+ z= -t/(t+two);
+ }
+ /* |x| >= 9, return +-1 */
+ } else {
+ z = one - tiny; /* raise inexact flag */
+ }
+ return (jx>=0)? z: -z;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tanhl.c b/libm/upstream-freebsd/lib/msun/src/s_tanhl.c
new file mode 100644
index 0000000..886158b
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tanhl.c
@@ -0,0 +1,172 @@
+/* from: FreeBSD: head/lib/msun/src/s_tanhl.c XXX */
+
+/* @(#)s_tanh.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * See s_tanh.c for complete comments.
+ *
+ * Converted to long double by Bruce D. Evans.
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#include "fpmath.h"
+#include "k_expl.h"
+
+#if LDBL_MAX_EXP != 0x4000
+/* We also require the usual expsign encoding. */
+#error "Unsupported long double format"
+#endif
+
+#define BIAS (LDBL_MAX_EXP - 1)
+
+static const volatile double tiny = 1.0e-300;
+static const double one = 1.0;
+#if LDBL_MANT_DIG == 64
+/*
+ * Domain [-0.25, 0.25], range ~[-1.6304e-22, 1.6304e-22]:
+ * |tanh(x)/x - t(x)| < 2**-72.3
+ */
+static const union IEEEl2bits
+T3u = LD80C(0xaaaaaaaaaaaaaa9f, -2, -3.33333333333333333017e-1L);
+#define T3 T3u.e
+static const double
+T5 = 1.3333333333333314e-1, /* 0x1111111111110a.0p-55 */
+T7 = -5.3968253968210485e-2, /* -0x1ba1ba1ba1a1a1.0p-57 */
+T9 = 2.1869488531393817e-2, /* 0x1664f488172022.0p-58 */
+T11 = -8.8632352345964591e-3, /* -0x1226e34bc138d5.0p-59 */
+T13 = 3.5921169709993771e-3, /* 0x1d6d371d3e400f.0p-61 */
+T15 = -1.4555786415756001e-3, /* -0x17d923aa63814d.0p-62 */
+T17 = 5.8645267876296793e-4, /* 0x13378589b85aa7.0p-63 */
+T19 = -2.1121033571392224e-4; /* -0x1baf0af80c4090.0p-65 */
+#elif LDBL_MANT_DIG == 113
+/*
+ * Domain [-0.25, 0.25], range ~[-2.4211e-37, 2.4211e-37]:
+ * |tanh(x)/x - t(x)| < 2**121.6
+ */
+static const long double
+T3 = -3.33333333333333333333333333333332980e-1L, /* -0x1555555555555555555555555554e.0p-114L */
+T5 = 1.33333333333333333333333333332707260e-1L, /* 0x1111111111111111111111110ab7b.0p-115L */
+T7 = -5.39682539682539682539682535723482314e-2L, /* -0x1ba1ba1ba1ba1ba1ba1ba17b5fc98.0p-117L */
+T9 = 2.18694885361552028218693591149061717e-2L, /* 0x1664f4882c10f9f32d6b1a12a25e5.0p-118L */
+T11 = -8.86323552990219656883762347736381851e-3L, /* -0x1226e355e6c23c8f5a5a0f386cb4d.0p-119L */
+T13 = 3.59212803657248101358314398220822722e-3L, /* 0x1d6d3d0e157ddfb403ad3637442c6.0p-121L */
+T15 = -1.45583438705131796512568010348874662e-3L; /* -0x17da36452b75e150c44cc34253b34.0p-122L */
+static const double
+T17 = 5.9002744094556621e-4, /* 0x1355824803668e.0p-63 */
+T19 = -2.3912911424260516e-4, /* -0x1f57d7734c8dde.0p-65 */
+T21 = 9.6915379535512898e-5, /* 0x1967e18ad6a6ca.0p-66 */
+T23 = -3.9278322983156353e-5, /* -0x1497d8e6b75729.0p-67 */
+T25 = 1.5918887220143869e-5, /* 0x10b1319998cafa.0p-68 */
+T27 = -6.4514295231630956e-6, /* -0x1b0f2b71b218eb.0p-70 */
+T29 = 2.6120754043964365e-6, /* 0x15e963a3cf3a39.0p-71 */
+T31 = -1.0407567231003314e-6, /* -0x1176041e656869.0p-72 */
+T33 = 3.4744117554063574e-7; /* 0x1750fe732cab9c.0p-74 */
+#endif /* LDBL_MANT_DIG == 64 */
+
+static inline long double
+divl(long double a, long double b, long double c, long double d,
+ long double e, long double f)
+{
+ long double inv, r;
+ float fr, fw;
+
+ _2sumF(a, c);
+ b = b + c;
+ _2sumF(d, f);
+ e = e + f;
+
+ inv = 1 / (d + e);
+
+ r = (a + b) * inv;
+ fr = r;
+ r = fr;
+
+ fw = d + e;
+ e = d - fw + e;
+ d = fw;
+
+ r = r + (a - d * r + b - e * r) * inv;
+
+ return r;
+}
+
+long double
+tanhl(long double x)
+{
+ long double hi,lo,s,x2,x4,z;
+ double dx2;
+ int16_t jx,ix;
+
+ GET_LDBL_EXPSIGN(jx,x);
+ ix = jx&0x7fff;
+
+ /* x is INF or NaN */
+ if(ix>=0x7fff) {
+ if (jx>=0) return one/x+one; /* tanh(+-inf)=+-1 */
+ else return one/x-one; /* tanh(NaN) = NaN */
+ }
+
+ ENTERI();
+
+ /* |x| < 40 */
+ if (ix < 0x4004 || fabsl(x) < 40) { /* |x|<40 */
+ if (__predict_false(ix<BIAS-(LDBL_MANT_DIG+1)/2)) { /* |x|<TINY */
+ /* tanh(+-0) = +0; tanh(tiny) = tiny(-+) with inexact: */
+ return (x == 0 ? x : (0x1p200 * x - x) * 0x1p-200);
+ }
+ if (ix<0x3ffd) { /* |x|<0.25 */
+ x2 = x*x;
+#if LDBL_MANT_DIG == 64
+ x4 = x2*x2;
+ RETURNI(((T19*x2 + T17)*x4 + (T15*x2 + T13))*(x2*x*x2*x4*x4) +
+ ((T11*x2 + T9)*x4 + (T7*x2 + T5))*(x2*x*x2) +
+ T3*(x2*x) + x);
+#elif LDBL_MANT_DIG == 113
+ dx2 = x2;
+#if 0
+ RETURNI(((((((((((((((T33*dx2 + T31)*dx2 + T29)*dx2 + T27)*dx2 +
+ T25)*x2 + T23)*x2 + T21)*x2 + T19)*x2 + T17)*x2 +
+ T15)*x2 + T13)*x2 + T11)*x2 + T9)*x2 + T7)*x2 + T5)*
+ (x2*x*x2) +
+ T3*(x2*x) + x);
+#else
+ long double q = ((((((((((((((T33*dx2 + T31)*dx2 + T29)*dx2 + T27)*dx2 +
+ T25)*x2 + T23)*x2 + T21)*x2 + T19)*x2 + T17)*x2 +
+ T15)*x2 + T13)*x2 + T11)*x2 + T9)*x2 + T7)*x2 + T5)*
+ (x2*x*x2);
+ RETURNI(q + T3*(x2*x) + x);
+#endif
+#endif
+ }
+ k_hexpl(2*fabsl(x), &hi, &lo);
+ if (ix<0x4001 && fabsl(x) < 1.5) /* |x|<1.5 */
+ z = divl(hi, lo, -0.5, hi, lo, 0.5);
+ else
+ z = one - one/(lo+0.5+hi);
+ /* |x| >= 40, return +-1 */
+ } else {
+ z = one - tiny; /* raise inexact flag */
+ }
+ s = 1;
+ if (jx<0) s = -1;
+ RETURNI(s*z);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tanl.c b/libm/upstream-freebsd/lib/msun/src/s_tanl.c
new file mode 100644
index 0000000..eadc837
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tanl.c
@@ -0,0 +1,95 @@
+/*-
+ * Copyright (c) 2007 Steven G. Kargl
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice unmodified, this list of conditions, and the following
+ * disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+ * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+ * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
+ * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+ * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
+ * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * Limited testing on pseudorandom numbers drawn within [0:4e8] shows
+ * an accuracy of <= 1.5 ULP where 247024 values of x out of 40 million
+ * possibles resulted in tan(x) that exceeded 0.5 ULP (ie., 0.6%).
+ */
+
+#include <float.h>
+#ifdef __i386__
+#include <ieeefp.h>
+#endif
+
+#include "math.h"
+#include "math_private.h"
+#if LDBL_MANT_DIG == 64
+#include "../ld80/e_rem_pio2l.h"
+#elif LDBL_MANT_DIG == 113
+#include "../ld128/e_rem_pio2l.h"
+#else
+#error "Unsupported long double format"
+#endif
+
+long double
+tanl(long double x)
+{
+ union IEEEl2bits z;
+ int e0, s;
+ long double y[2];
+ long double hi, lo;
+
+ z.e = x;
+ s = z.bits.sign;
+ z.bits.sign = 0;
+
+ /* If x = +-0 or x is subnormal, then tan(x) = x. */
+ if (z.bits.exp == 0)
+ return (x);
+
+ /* If x = NaN or Inf, then tan(x) = NaN. */
+ if (z.bits.exp == 32767)
+ return ((x - x) / (x - x));
+
+ ENTERI();
+
+ /* Optimize the case where x is already within range. */
+ if (z.e < M_PI_4) {
+ hi = __kernel_tanl(z.e, 0, 0);
+ RETURNI(s ? -hi : hi);
+ }
+
+ e0 = __ieee754_rem_pio2l(x, y);
+ hi = y[0];
+ lo = y[1];
+
+ switch (e0 & 3) {
+ case 0:
+ case 2:
+ hi = __kernel_tanl(hi, lo, 0);
+ break;
+ case 1:
+ case 3:
+ hi = __kernel_tanl(hi, lo, 1);
+ break;
+ }
+
+ RETURNI(hi);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_tgammaf.c b/libm/upstream-freebsd/lib/msun/src/s_tgammaf.c
new file mode 100644
index 0000000..9993d91
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_tgammaf.c
@@ -0,0 +1,43 @@
+/*-
+ * Copyright (c) 2008 David Schultz <das@FreeBSD.ORG>
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
+ * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
+ * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+ * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
+ * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
+ * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
+ * SUCH DAMAGE.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <math.h>
+
+/*
+ * We simply call tgamma() rather than bloating the math library with
+ * a float-optimized version of it. The reason is that tgammaf() is
+ * essentially useless, since the function is superexponential and
+ * floats have very limited range.
+ */
+float
+tgammaf(float x)
+{
+
+ return (tgamma(x));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_trunc.c b/libm/upstream-freebsd/lib/msun/src/s_trunc.c
new file mode 100644
index 0000000..63a6753
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_trunc.c
@@ -0,0 +1,67 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * trunc(x)
+ * Return x rounded toward 0 to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to trunc(x).
+ */
+
+#include <float.h>
+
+#include "math.h"
+#include "math_private.h"
+
+static const double huge = 1.0e300;
+
+double
+trunc(double x)
+{
+ int32_t i0,i1,j0;
+ u_int32_t i;
+ EXTRACT_WORDS(i0,i1,x);
+ j0 = ((i0>>20)&0x7ff)-0x3ff;
+ if(j0<20) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0) {/* |x|<1, so return 0*sign(x) */
+ i0 &= 0x80000000U;
+ i1 = 0;
+ }
+ } else {
+ i = (0x000fffff)>>j0;
+ if(((i0&i)|i1)==0) return x; /* x is integral */
+ if(huge+x>0.0) { /* raise inexact flag */
+ i0 &= (~i); i1=0;
+ }
+ }
+ } else if (j0>51) {
+ if(j0==0x400) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ } else {
+ i = ((u_int32_t)(0xffffffff))>>(j0-20);
+ if((i1&i)==0) return x; /* x is integral */
+ if(huge+x>0.0) /* raise inexact flag */
+ i1 &= (~i);
+ }
+ INSERT_WORDS(x,i0,i1);
+ return x;
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(trunc, truncl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/s_truncf.c b/libm/upstream-freebsd/lib/msun/src/s_truncf.c
new file mode 100644
index 0000000..384eaee
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_truncf.c
@@ -0,0 +1,53 @@
+/* @(#)s_floor.c 5.1 93/09/24 */
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * truncf(x)
+ * Return x rounded toward 0 to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to truncf(x).
+ */
+
+#include "math.h"
+#include "math_private.h"
+
+static const float huge = 1.0e30F;
+
+float
+truncf(float x)
+{
+ int32_t i0,j0;
+ u_int32_t i;
+ GET_FLOAT_WORD(i0,x);
+ j0 = ((i0>>23)&0xff)-0x7f;
+ if(j0<23) {
+ if(j0<0) { /* raise inexact if x != 0 */
+ if(huge+x>0.0F) /* |x|<1, so return 0*sign(x) */
+ i0 &= 0x80000000;
+ } else {
+ i = (0x007fffff)>>j0;
+ if((i0&i)==0) return x; /* x is integral */
+ if(huge+x>0.0F) /* raise inexact flag */
+ i0 &= (~i);
+ }
+ } else {
+ if(j0==0x80) return x+x; /* inf or NaN */
+ else return x; /* x is integral */
+ }
+ SET_FLOAT_WORD(x,i0);
+ return x;
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/s_truncl.c b/libm/upstream-freebsd/lib/msun/src/s_truncl.c
new file mode 100644
index 0000000..9e2b511
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/s_truncl.c
@@ -0,0 +1,68 @@
+/*
+ * ====================================================
+ * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+ *
+ * Developed at SunPro, a Sun Microsystems, Inc. business.
+ * Permission to use, copy, modify, and distribute this
+ * software is freely granted, provided that this notice
+ * is preserved.
+ * ====================================================
+ *
+ * From: @(#)s_floor.c 5.1 93/09/24
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+/*
+ * truncl(x)
+ * Return x rounded toward 0 to integral value
+ * Method:
+ * Bit twiddling.
+ * Exception:
+ * Inexact flag raised if x not equal to truncl(x).
+ */
+
+#include <float.h>
+#include <math.h>
+#include <stdint.h>
+
+#include "fpmath.h"
+
+#ifdef LDBL_IMPLICIT_NBIT
+#define MANH_SIZE (LDBL_MANH_SIZE + 1)
+#else
+#define MANH_SIZE LDBL_MANH_SIZE
+#endif
+
+static const long double huge = 1.0e300;
+static const float zero[] = { 0.0, -0.0 };
+
+long double
+truncl(long double x)
+{
+ union IEEEl2bits u = { .e = x };
+ int e = u.bits.exp - LDBL_MAX_EXP + 1;
+
+ if (e < MANH_SIZE - 1) {
+ if (e < 0) { /* raise inexact if x != 0 */
+ if (huge + x > 0.0)
+ u.e = zero[u.bits.sign];
+ } else {
+ uint64_t m = ((1llu << MANH_SIZE) - 1) >> (e + 1);
+ if (((u.bits.manh & m) | u.bits.manl) == 0)
+ return (x); /* x is integral */
+ if (huge + x > 0.0) { /* raise inexact flag */
+ u.bits.manh &= ~m;
+ u.bits.manl = 0;
+ }
+ }
+ } else if (e < LDBL_MANT_DIG - 1) {
+ uint64_t m = (uint64_t)-1 >> (64 - LDBL_MANT_DIG + e + 1);
+ if ((u.bits.manl & m) == 0)
+ return (x); /* x is integral */
+ if (huge + x > 0.0) /* raise inexact flag */
+ u.bits.manl &= ~m;
+ }
+ return (u.e);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/w_cabs.c b/libm/upstream-freebsd/lib/msun/src/w_cabs.c
new file mode 100644
index 0000000..543b858
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/w_cabs.c
@@ -0,0 +1,23 @@
+/*
+ * cabs() wrapper for hypot().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <float.h>
+#include <math.h>
+
+double
+cabs(double complex z)
+{
+ return hypot(creal(z), cimag(z));
+}
+
+#if LDBL_MANT_DIG == 53
+__weak_reference(cabs, cabsl);
+#endif
diff --git a/libm/upstream-freebsd/lib/msun/src/w_cabsf.c b/libm/upstream-freebsd/lib/msun/src/w_cabsf.c
new file mode 100644
index 0000000..e7bfe22
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/w_cabsf.c
@@ -0,0 +1,23 @@
+/*
+ * cabsf() wrapper for hypotf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#ifndef lint
+static const char rcsid[] =
+ "$FreeBSD$";
+#endif /* not lint */
+
+#include <complex.h>
+#include <math.h>
+#include "math_private.h"
+
+float
+cabsf(z)
+ float complex z;
+{
+
+ return hypotf(crealf(z), cimagf(z));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/w_cabsl.c b/libm/upstream-freebsd/lib/msun/src/w_cabsl.c
new file mode 100644
index 0000000..b715e0c
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/w_cabsl.c
@@ -0,0 +1,20 @@
+/*
+ * cabs() wrapper for hypot().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ *
+ * Modified by Steven G. Kargl for the long double type.
+ */
+
+#include <sys/cdefs.h>
+__FBSDID("$FreeBSD$");
+
+#include <complex.h>
+#include <math.h>
+
+long double
+cabsl(long double complex z)
+{
+ return hypotl(creall(z), cimagl(z));
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/w_drem.c b/libm/upstream-freebsd/lib/msun/src/w_drem.c
new file mode 100644
index 0000000..0f68409
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/w_drem.c
@@ -0,0 +1,15 @@
+/*
+ * drem() wrapper for remainder().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+
+#include <math.h>
+
+double
+drem(x, y)
+ double x, y;
+{
+ return remainder(x, y);
+}
diff --git a/libm/upstream-freebsd/lib/msun/src/w_dremf.c b/libm/upstream-freebsd/lib/msun/src/w_dremf.c
new file mode 100644
index 0000000..4bfcff2
--- /dev/null
+++ b/libm/upstream-freebsd/lib/msun/src/w_dremf.c
@@ -0,0 +1,16 @@
+/*
+ * dremf() wrapper for remainderf().
+ *
+ * Written by J.T. Conklin, <jtc@wimsey.com>
+ * Placed into the Public Domain, 1994.
+ */
+/* $FreeBSD$ */
+
+#include "math.h"
+#include "math_private.h"
+
+float
+dremf(float x, float y)
+{
+ return remainderf(x, y);
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cacoshl.c b/libm/upstream-netbsd/lib/libm/complex/cacoshl.c
new file mode 100644
index 0000000..4e4e006
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cacoshl.c
@@ -0,0 +1,45 @@
+/* $NetBSD: cacoshl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include <complex.h>
+
+long double complex
+cacoshl(long double complex z)
+{
+ long double complex w;
+
+#if 0 /* does not give the principal value */
+ w = I * cacosl(z);
+#else
+ w = clogl(z + csqrtl(z + 1) * csqrtl(z - 1));
+#endif
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cacosl.c b/libm/upstream-netbsd/lib/libm/complex/cacosl.c
new file mode 100644
index 0000000..e481158
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cacosl.c
@@ -0,0 +1,45 @@
+/* $NetBSD: cacosl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrl.h"
+
+long double complex
+cacosl(long double complex z)
+{
+ long double complex w;
+
+ w = casinl(z);
+ w = (M_PI_2L - creall(w)) - cimagl(w) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/casinhl.c b/libm/upstream-netbsd/lib/libm/complex/casinhl.c
new file mode 100644
index 0000000..9f74ee9
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/casinhl.c
@@ -0,0 +1,42 @@
+/* $NetBSD: casinhl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+
+long double complex
+casinhl(long double complex z)
+{
+ long double complex w;
+
+ w = -1.0L * I * casinl(z * I);
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/casinl.c b/libm/upstream-netbsd/lib/libm/complex/casinl.c
new file mode 100644
index 0000000..986a8c0
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/casinl.c
@@ -0,0 +1,120 @@
+/* $NetBSD: casinl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+#ifdef __weak_alias
+__weak_alias(casinl, _casinl)
+#endif
+
+long double complex
+casinl(long double complex z)
+{
+ long double complex w;
+ long double complex ca, ct, zz, z2;
+ long double x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+
+#if 0 /* MD: test is incorrect, casin(>1) is defined */
+ if (y == 0.0L) {
+ if (fabsl(x) > 1.0L) {
+ w = M_PI_2L + 0.0L * I;
+#if 0
+ mtherr ("casinl", DOMAIN);
+#endif
+ } else {
+ w = asinl(x) + 0.0L * I;
+ }
+ return w;
+ }
+#endif
+
+/* Power series expansion */
+/*
+b = cabsl(z);
+if( b < 0.125L )
+{
+z2.r = (x - y) * (x + y);
+z2.i = 2.0L * x * y;
+
+cn = 1.0L;
+n = 1.0L;
+ca.r = x;
+ca.i = y;
+sum.r = x;
+sum.i = y;
+do
+ {
+ ct.r = z2.r * ca.r - z2.i * ca.i;
+ ct.i = z2.r * ca.i + z2.i * ca.r;
+ ca.r = ct.r;
+ ca.i = ct.i;
+
+ cn *= n;
+ n += 1.0;
+ cn /= n;
+ n += 1.0;
+ b = cn/n;
+
+ ct.r *= b;
+ ct.i *= b;
+ sum.r += ct.r;
+ sum.i += ct.i;
+ b = fabsl(ct.r) + fabsl(ct.i);
+ }
+while( b > MACHEPL );
+w->r = sum.r;
+w->i = sum.i;
+return;
+}
+*/
+
+
+ ca = x + y * I;
+ ct = ca * I;
+ /* sqrtl( 1 - z*z) */
+ /* cmull( &ca, &ca, &zz ) */
+ /*x * x - y * y */
+ zz = (x - y) * (x + y) + (2.0L * x * y) * I;
+
+ zz = 1.0L - creall(zz) - cimagl(zz) * I;
+ z2 = csqrtl(zz);
+
+ zz = ct + z2;
+ zz = clogl(zz);
+ /* multiply by 1/i = -i */
+ w = zz * (-1.0L * I);
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/catanhl.c b/libm/upstream-netbsd/lib/libm/complex/catanhl.c
new file mode 100644
index 0000000..4969b70
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/catanhl.c
@@ -0,0 +1,42 @@
+/* $NetBSD: catanhl.c,v 1.3 2014/10/10 12:43:15 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+
+long double complex
+catanhl(long double complex z)
+{
+ long double complex w;
+
+ w = -1.0L * I * catanl(z * I);
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/catanl.c b/libm/upstream-netbsd/lib/libm/complex/catanl.c
new file mode 100644
index 0000000..bdff23f
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/catanl.c
@@ -0,0 +1,80 @@
+/* $NetBSD: catanl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include <float.h>
+#include "cephes_subrl.h"
+
+#ifdef __weak_alias
+__weak_alias(catanl, _catanl)
+#endif
+
+#define MAXNUM LDBL_MAX
+
+long double complex
+catanl(long double complex z)
+{
+ long double complex w;
+ long double a, t, x, x2, y;
+
+ x = creall(z);
+ y = cimagl(z);
+
+ if ((x == 0.0L) && (y > 1.0L))
+ goto ovrf;
+
+ x2 = x * x;
+ a = 1.0L - x2 - (y * y);
+ if (a == 0.0)
+ goto ovrf;
+
+ t = 0.5L * atan2l(2.0L * x, a);
+ w = _redupil(t);
+
+ t = y - 1.0L;
+ a = x2 + (t * t);
+ if (a == 0.0L)
+ goto ovrf;
+
+ t = y + 1.0L;
+ a = (x2 + (t * t))/a;
+ w = w + (0.25L * logl(a)) * I;
+ return w;
+
+ovrf:
+#if 0
+ mtherr ("catanl", OVERFLOW);
+#endif
+ w = MAXNUM + MAXNUM * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/ccoshl.c b/libm/upstream-netbsd/lib/libm/complex/ccoshl.c
new file mode 100644
index 0000000..4c33f9d
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/ccoshl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: ccoshl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+ccoshl(long double complex z)
+{
+ long double complex w;
+ long double x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+ w = coshl(x) * cosl(y) + (sinhl(x) * sinl(y)) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/ccosl.c b/libm/upstream-netbsd/lib/libm/complex/ccosl.c
new file mode 100644
index 0000000..6ce5661
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/ccosl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: ccosl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrl.h"
+
+long double complex
+ccosl(long double complex z)
+{
+ long double complex w;
+ long double ch, sh;
+
+ _cchshl(cimagl(z), &ch, &sh);
+ w = cosl(creall(z)) * ch - (sinl(creall(z)) * sh) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.c b/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.c
new file mode 100644
index 0000000..90dbd86
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.c
@@ -0,0 +1,129 @@
+/* $NetBSD: cephes_subrl.c,v 1.2 2014/10/10 14:06:40 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrl.h"
+
+/* calculate cosh and sinh */
+
+void
+_cchshl(long double x, long double *c, long double *s)
+{
+ long double e, ei;
+
+ if (fabsl(x) <= 0.5L) {
+ *c = coshl(x);
+ *s = sinhl(x);
+ } else {
+ e = expl(x);
+ ei = 0.5L / e;
+ e = 0.5L * e;
+ *s = e - ei;
+ *c = e + ei;
+ }
+}
+
+/* Program to subtract nearest integer multiple of PI */
+
+/* extended precision value of PI: */
+static const long double DP1 = 3.14159265358979323829596852490908531763125L;
+static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
+#ifndef __vax__
+static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
+#define MACHEPL 1.1e-38L
+#else
+static const long double DP3 = 0L;
+#define MACHEPL 1.1e-19L
+#endif
+
+long double
+_redupil(long double x)
+{
+ long double t;
+ long long i;
+
+ t = x / M_PIL;
+ if (t >= 0.0L)
+ t += 0.5L;
+ else
+ t -= 0.5L;
+
+ i = t; /* the multiple */
+ t = i;
+ t = ((x - t * DP1) - t * DP2) - t * DP3;
+ return t;
+}
+
+/* Taylor series expansion for cosh(2y) - cos(2x) */
+
+long double
+_ctansl(long double complex z)
+{
+ long double f, x, x2, y, y2, rn, t;
+ long double d;
+
+ x = fabsl(2.0L * creall(z));
+ y = fabsl(2.0L * cimagl(z));
+
+ x = _redupil(x);
+
+ x = x * x;
+ y = y * y;
+ x2 = 1.0;
+ y2 = 1.0;
+ f = 1.0;
+ rn = 0.0;
+ d = 0.0;
+ do {
+ rn += 1.0L;
+ f *= rn;
+ rn += 1.0L;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 + x2;
+ t /= f;
+ d += t;
+
+ rn += 1.0L;
+ f *= rn;
+ rn += 1.0L;
+ f *= rn;
+ x2 *= x;
+ y2 *= y;
+ t = y2 - x2;
+ t /= f;
+ d += t;
+ } while (fabsl(t/d) > MACHEPL);
+ return d;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.h b/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.h
new file mode 100644
index 0000000..6354b23
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cephes_subrl.h
@@ -0,0 +1,9 @@
+/* $NetBSD: cephes_subrl.h,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+void _cchshl(long double, long double *, long double *);
+long double _redupil(long double);
+long double _ctansl(long double complex);
+
+#define M_PIL 3.14159265358979323846264338327950280e+00L
+#define M_PI_2L 1.57079632679489661923132169163975140e+00L
+
diff --git a/libm/upstream-netbsd/lib/libm/complex/cexpl.c b/libm/upstream-netbsd/lib/libm/complex/cexpl.c
new file mode 100644
index 0000000..a1e2235
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cexpl.c
@@ -0,0 +1,47 @@
+/* $NetBSD: cexpl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+cexpl(long double complex z)
+{
+ long double complex w;
+ long double r, x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+ r = expl(x);
+ w = r * cosl(y) + r * sinl(y) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/clog.c b/libm/upstream-netbsd/lib/libm/complex/clog.c
new file mode 100644
index 0000000..6362c44
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/clog.c
@@ -0,0 +1,47 @@
+/* $NetBSD: clog.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+double complex
+clog(double complex z)
+{
+ double complex w;
+ double p, rr;
+
+ rr = cabs(z);
+ p = log(rr);
+ rr = atan2(cimag(z), creal(z));
+ w = p + rr * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/clogf.c b/libm/upstream-netbsd/lib/libm/complex/clogf.c
new file mode 100644
index 0000000..c3cdad0
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/clogf.c
@@ -0,0 +1,47 @@
+/* $NetBSD: clogf.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+float complex
+clogf(float complex z)
+{
+ float complex w;
+ float p, rr;
+
+ rr = cabsf(z);
+ p = logf(rr);
+ rr = atan2f(cimagf(z), crealf(z));
+ w = p + rr * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/clogl.c b/libm/upstream-netbsd/lib/libm/complex/clogl.c
new file mode 100644
index 0000000..11e7a15
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/clogl.c
@@ -0,0 +1,47 @@
+/* $NetBSD: clogl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+clogl(long double complex z)
+{
+ long double complex w;
+ long double p, rr;
+
+ rr = cabsl(z);
+ p = logl(rr);
+ rr = atan2l(cimagl(z), creall(z));
+ w = p + rr * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cpow.c b/libm/upstream-netbsd/lib/libm/complex/cpow.c
new file mode 100644
index 0000000..5bc8d3f
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cpow.c
@@ -0,0 +1,57 @@
+/* $NetBSD: cpow.c,v 1.1 2007/08/20 16:01:35 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+double complex
+cpow(double complex a, double complex z)
+{
+ double complex w;
+ double x, y, r, theta, absa, arga;
+
+ x = creal(z);
+ y = cimag(z);
+ absa = cabs(a);
+ if (absa == 0.0) {
+ return (0.0 + 0.0 * I);
+ }
+ arga = carg(a);
+ r = pow(absa, x);
+ theta = x * arga;
+ if (y != 0.0) {
+ r = r * exp(-y * arga);
+ theta = theta + y * log(absa);
+ }
+ w = r * cos(theta) + (r * sin(theta)) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cpowf.c b/libm/upstream-netbsd/lib/libm/complex/cpowf.c
new file mode 100644
index 0000000..f7af10a
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cpowf.c
@@ -0,0 +1,57 @@
+/* $NetBSD: cpowf.c,v 1.1 2007/08/20 16:01:36 drochner Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+float complex
+cpowf(float complex a, float complex z)
+{
+ float complex w;
+ float x, y, r, theta, absa, arga;
+
+ x = crealf(z);
+ y = cimagf(z);
+ absa = cabsf(a);
+ if (absa == 0.0f) {
+ return (0.0f + 0.0f * I);
+ }
+ arga = cargf(a);
+ r = powf(absa, x);
+ theta = x * arga;
+ if (y != 0.0f) {
+ r = r * expf(-y * arga);
+ theta = theta + y * logf(absa);
+ }
+ w = r * cosf(theta) + (r * sinf(theta)) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/cpowl.c b/libm/upstream-netbsd/lib/libm/complex/cpowl.c
new file mode 100644
index 0000000..39336ea
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/cpowl.c
@@ -0,0 +1,57 @@
+/* $NetBSD: cpowl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+cpowl(long double complex a, long double complex z)
+{
+ long double complex w;
+ long double x, y, r, theta, absa, arga;
+
+ x = creall(z);
+ y = cimagl(z);
+ absa = cabsl(a);
+ if (absa == 0.0L) {
+ return (0.0L + 0.0L * I);
+ }
+ arga = cargl(a);
+ r = powl(absa, x);
+ theta = x * arga;
+ if (y != 0.0L) {
+ r = r * expl(-y * arga);
+ theta = theta + y * logl(absa);
+ }
+ w = r * cosl(theta) + (r * sinl(theta)) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/csinhl.c b/libm/upstream-netbsd/lib/libm/complex/csinhl.c
new file mode 100644
index 0000000..b78f7f1
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/csinhl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: csinhl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+csinhl(long double complex z)
+{
+ long double complex w;
+ long double x, y;
+
+ x = creall(z);
+ y = cimagl(z);
+ w = sinhl(x) * cosl(y) + (coshl(x) * sinl(y)) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/csinl.c b/libm/upstream-netbsd/lib/libm/complex/csinl.c
new file mode 100644
index 0000000..c86847b
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/csinl.c
@@ -0,0 +1,46 @@
+/* $NetBSD: csinl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include "cephes_subrl.h"
+
+long double complex
+csinl(long double complex z)
+{
+ long double complex w;
+ long double ch, sh;
+
+ _cchshl(cimagl(z), &ch, &sh);
+ w = sinl(creall(z)) * ch + (cosl(creall(z)) * sh) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/ctanhl.c b/libm/upstream-netbsd/lib/libm/complex/ctanhl.c
new file mode 100644
index 0000000..0894dd0
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/ctanhl.c
@@ -0,0 +1,48 @@
+/* $NetBSD: ctanhl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+
+long double complex
+ctanhl(long double complex z)
+{
+ long double complex w;
+ long double x, y, d;
+
+ x = creall(z);
+ y = cimagl(z);
+ d = coshl(2.0L * x) + cosl(2.0L * y);
+ w = sinhl(2.0L * x) / d + (sinl(2.0L * y) / d) * I;
+
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/complex/ctanl.c b/libm/upstream-netbsd/lib/libm/complex/ctanl.c
new file mode 100644
index 0000000..7932aef
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/complex/ctanl.c
@@ -0,0 +1,59 @@
+/* $NetBSD: ctanl.c,v 1.1 2014/10/10 00:48:18 christos Exp $ */
+
+/*-
+ * Copyright (c) 2007 The NetBSD Foundation, Inc.
+ * All rights reserved.
+ *
+ * This code is derived from software written by Stephen L. Moshier.
+ * It is redistributed by the NetBSD Foundation by permission of the author.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
+ * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
+ * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
+ * POSSIBILITY OF SUCH DAMAGE.
+ */
+
+#include "../src/namespace.h"
+#include <complex.h>
+#include <math.h>
+#include <float.h>
+#include "cephes_subrl.h"
+
+#define MAXNUM LDBL_MAX
+
+long double complex
+ctanl(long double complex z)
+{
+ long double complex w;
+ long double d;
+
+ d = cosl(2.0L * creall(z)) + coshl(2.0L * cimagl(z));
+
+ if (fabsl(d) < 0.25L)
+ d = _ctansl(z);
+
+ if (d == 0.0L) {
+ /* mtherr ("ctan", OVERFLOW); */
+ w = MAXNUM + MAXNUM * I;
+ return w;
+ }
+
+ w = sinl(2.0L * creall(z)) / d + (sinhl(2.0L * cimagl(z)) / d) * I;
+ return w;
+}
diff --git a/libm/upstream-netbsd/lib/libm/src/namespace.h b/libm/upstream-netbsd/lib/libm/src/namespace.h
new file mode 100644
index 0000000..e69de29
--- /dev/null
+++ b/libm/upstream-netbsd/lib/libm/src/namespace.h
diff --git a/libm/x86/ceil.S b/libm/x86/ceil.S
new file mode 100644
index 0000000..6302037
--- /dev/null
+++ b/libm/x86/ceil.S
@@ -0,0 +1,43 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(ceil)
+ mov %esp,%eax
+ and $0xfffffff8,%eax
+ movsd 0x4(%esp),%xmm0
+ roundsd $0x2,%xmm0,%xmm0
+ movlpd %xmm0,-0x8(%eax)
+ fldl -0x8(%eax)
+ ret
+END(ceil)
+
+ALIAS_SYMBOL(ceill, ceil);
diff --git a/libm/x86/ceilf.S b/libm/x86/ceilf.S
new file mode 100644
index 0000000..51eb440
--- /dev/null
+++ b/libm/x86/ceilf.S
@@ -0,0 +1,39 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(ceilf)
+ movss 0x4(%esp),%xmm0
+ roundss $0x2,%xmm0,%xmm0
+ movss %xmm0,-0x4(%esp)
+ flds -0x4(%esp)
+ ret
+END(ceilf)
diff --git a/libm/x86/e_acos.S b/libm/x86/e_acos.S
new file mode 100644
index 0000000..fa61853
--- /dev/null
+++ b/libm/x86/e_acos.S
@@ -0,0 +1,1929 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// To compute acos(s), separate schemes are used when s is in different
+// intervals.
+//
+// |s| in [2^{-4}, sqrt(3)/2):
+// Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52
+// acos(s)=pi/2-asin(t)-asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2)
+// asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7)
+// For the first degree term, r is evaluated as
+// R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t)
+// (sqrt(1-t^2) read from table)
+// The main source of error is still R (may still be affected by up to 3 ulps
+// of rounding error). The table size must be sufficiently large, to minimize
+// this effect.
+//
+// |s| in [sqrt(3)/2, 255/256):
+// Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded)
+// acos(|s|)=asin(t)-asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// acos(-|s|)=pi-acos(|s|)
+// (The -PI constant, or 0, is added to the result. The sign is set at
+// the end)
+// asin(r) evaluated as a polynomial (same as above)
+// The first degree term is evaluated as
+// r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2))
+//
+// |s|<2^{-4}: acos(s)=pi/2-asin(s)
+// evaluate asin(s) as 13-degree polynomial
+//
+// |s| in [255/256,1): acos(|s|)=2*asin(q), where q=sqrt((1-|s|)/2)
+// asin(q) is evaluated as 13-degree polynomial
+// q^2=(1-|s|)/2 is obtained in advance
+// 2*q*eps ~ ((1-|s|)/2-q^2)/q used for first term
+// acos(-|s|)=pi-acos(|s|)
+// (The -PI constant, or 0, is added to the result. The sign is set at
+// the end)
+//
+// Special cases:
+// acos(NaN) = quiet NaN, and raise invalid exception
+// acos(INF) = QNaN and raise invalid exception
+// acos(x) = QNaN and raise invalid exception, for |x|>1.0
+// acos(1) = +0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin acos
+ENTRY(acos)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 48(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ movsd 6048(%ebx), %xmm4
+ movsd 6080(%ebx), %xmm3
+ xorpd %xmm5, %xmm5
+ movsd 6064(%ebx), %xmm2
+ movapd %xmm0, %xmm1
+ movsd %xmm0, 8(%esp)
+ psrlq $44, %xmm0
+ movd %xmm0, %edx
+ movapd %xmm1, %xmm7
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movapd %xmm1, %xmm0
+ movl $524287, %eax
+ andl %edx, %eax
+ subl $260864, %eax
+ cmpl $955, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ mulsd %xmm1, %xmm1
+ andl $65535, %edx
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andpd %xmm7, %xmm2
+ andl $-4, %edx
+ subl $64256, %edx
+ movsd 3840(%ebx,%edx,2), %xmm1
+ orpd %xmm5, %xmm2
+ movapd (%ebx,%edx,4), %xmm4
+ movapd %xmm7, %xmm6
+ addsd %xmm2, %xmm7
+ subsd %xmm2, %xmm0
+ mulsd %xmm0, %xmm7
+ mulsd %xmm1, %xmm6
+ mulsd %xmm2, %xmm3
+ movapd %xmm6, %xmm1
+ addsd %xmm3, %xmm6
+ divsd %xmm6, %xmm7
+ movsd 5976(%ebx), %xmm0
+ movsd 5960(%ebx), %xmm5
+ subsd %xmm3, %xmm1
+ psrlq $63, %xmm2
+ movapd %xmm1, %xmm3
+ psllq $63, %xmm2
+ mulsd %xmm1, %xmm1
+ pshufd $68, %xmm2, %xmm2
+ movsd 5968(%ebx), %xmm6
+ mulsd %xmm1, %xmm3
+ mulsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm4
+ mulsd %xmm3, %xmm5
+ subpd 5888(%ebx), %xmm4
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulsd %xmm3, %xmm0
+ subsd %xmm4, %xmm5
+ pshufd $238, %xmm4, %xmm4
+ addsd %xmm5, %xmm0
+ subsd %xmm7, %xmm0
+ subsd %xmm4, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ subl $955, %eax
+ cmpl $65, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ psrlq $38, %xmm7
+ psllq $38, %xmm7
+ pmovmskb %xmm0, %eax
+ andnpd %xmm0, %xmm4
+ subsd %xmm7, %xmm1
+ movapd %xmm7, %xmm6
+ mulsd %xmm7, %xmm7
+ addsd %xmm6, %xmm0
+ orpd %xmm4, %xmm5
+ subsd %xmm7, %xmm3
+ mulsd %xmm1, %xmm0
+ movapd %xmm3, %xmm4
+ subsd %xmm0, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andl $128, %eax
+ shrl $7, %eax
+ negl %eax
+ movapd %xmm3, %xmm7
+ andpd %xmm3, %xmm2
+ psllq $2, %xmm3
+ pextrw $3, %xmm3, %edx
+ orpd %xmm5, %xmm2
+ movd %eax, %xmm3
+ pshufd $0, %xmm3, %xmm3
+ subl $65216, %edx
+ addl %edx, %edx
+ mulsd 3840(%ebx,%edx,4), %xmm7
+ mulsd %xmm2, %xmm6
+ mulsd %xmm2, %xmm1
+ mulsd %xmm2, %xmm2
+ subsd %xmm7, %xmm6
+ andpd 5904(%ebx), %xmm3
+ addsd %xmm1, %xmm6
+ subsd %xmm2, %xmm4
+ addsd %xmm7, %xmm7
+ movsd 5960(%ebx), %xmm5
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm7
+ movsd 5976(%ebx), %xmm0
+ divsd %xmm7, %xmm4
+ movsd 5968(%ebx), %xmm2
+ addpd (%ebx,%edx,8), %xmm3
+ movapd %xmm6, %xmm1
+ mulsd %xmm6, %xmm6
+ mulsd %xmm6, %xmm0
+ mulsd %xmm6, %xmm1
+ mulsd %xmm1, %xmm5
+ mulsd %xmm6, %xmm1
+ addsd %xmm2, %xmm0
+ pxor %xmm6, %xmm6
+ mulsd %xmm1, %xmm0
+ addsd %xmm3, %xmm5
+ addsd %xmm5, %xmm0
+ andl $32768, %eax
+ pinsrw $3, %eax, %xmm6
+ movapd %xmm4, %xmm5
+ pshufd $238, %xmm3, %xmm3
+ addsd %xmm3, %xmm4
+ subsd %xmm4, %xmm3
+ addsd %xmm3, %xmm5
+ addsd %xmm5, %xmm0
+ addsd %xmm4, %xmm0
+ xorpd %xmm6, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ addl $15291, %eax
+ cmpl $14336, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ unpcklpd %xmm0, %xmm0
+ movapd 5984(%ebx), %xmm6
+ unpcklpd %xmm0, %xmm1
+ movapd 6000(%ebx), %xmm2
+ movapd 6016(%ebx), %xmm4
+ mulpd %xmm0, %xmm0
+ movapd 5888(%ebx), %xmm5
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm6
+ mulpd %xmm0, %xmm0
+ movapd %xmm1, %xmm3
+ mulsd %xmm1, %xmm1
+ addpd %xmm2, %xmm6
+ mulpd %xmm0, %xmm4
+ mulsd %xmm3, %xmm1
+ addpd %xmm4, %xmm6
+ pshufd $238, %xmm5, %xmm0
+ mulpd %xmm6, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ subsd %xmm7, %xmm0
+ pshufd $238, %xmm1, %xmm2
+ subsd %xmm1, %xmm5
+ subsd %xmm0, %xmm6
+ subsd %xmm2, %xmm5
+ subsd %xmm6, %xmm7
+ subsd %xmm7, %xmm5
+ addsd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_3.0.2:
+ subl $15356, %eax
+ cmpl $4, %eax
+ jae .L_2TAG_PACKET_4.0.2
+ xorpd %xmm6, %xmm6
+ andpd 6048(%ebx), %xmm7
+ movsd 6096(%ebx), %xmm4
+ movapd 5984(%ebx), %xmm1
+ mulsd %xmm4, %xmm7
+ movapd 6000(%ebx), %xmm2
+ subsd %xmm7, %xmm4
+ movapd 6016(%ebx), %xmm3
+ pshufd $68, %xmm4, %xmm7
+ sqrtsd %xmm4, %xmm4
+ mulpd %xmm7, %xmm1
+ pshufd $68, %xmm7, %xmm5
+ pextrw $3, %xmm0, %eax
+ mulpd %xmm7, %xmm7
+ addpd %xmm1, %xmm2
+ movsd 5936(%ebx), %xmm1
+ mulpd %xmm7, %xmm3
+ cmpsd $1, %xmm6, %xmm0
+ mulsd %xmm5, %xmm7
+ addpd %xmm3, %xmm2
+ pshufd $68, %xmm0, %xmm0
+ mulsd %xmm7, %xmm2
+ andpd 5904(%ebx), %xmm0
+ mulpd %xmm5, %xmm2
+ andpd %xmm4, %xmm1
+ pshufd $68, %xmm4, %xmm3
+ subsd %xmm1, %xmm4
+ addsd %xmm3, %xmm3
+ mulsd %xmm1, %xmm1
+ subsd %xmm4, %xmm3
+ subsd %xmm1, %xmm5
+ mulsd %xmm3, %xmm4
+ pshufd $238, %xmm3, %xmm3
+ subsd %xmm4, %xmm5
+ divsd %xmm3, %xmm5
+ addpd %xmm3, %xmm3
+ mulpd %xmm3, %xmm2
+ pshufd $238, %xmm2, %xmm4
+ addsd %xmm0, %xmm2
+ andl $32768, %eax
+ pinsrw $3, %eax, %xmm6
+ pshufd $238, %xmm0, %xmm0
+ addsd %xmm4, %xmm2
+ addsd %xmm5, %xmm2
+ addsd %xmm3, %xmm2
+ addsd %xmm2, %xmm0
+ xorpd %xmm6, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_4.0.2:
+ addl $261884, %eax
+ cmpl $261888, %eax
+ jb .L_2TAG_PACKET_5.0.2
+ movd %xmm7, %ecx
+ psrlq $32, %xmm7
+ movd %xmm7, %edx
+ andl $2147483647, %edx
+ movl $1072693248, %eax
+ subl %edx, %eax
+ orl %ecx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_6.0.2
+ movq 8(%esp), %xmm2
+ movd %xmm2, %edx
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $2147483647, %ecx
+ subl $1, %edx
+ sbbl $2146435072, %ecx
+ cmpl $0, %ecx
+ jge .L_2TAG_PACKET_7.0.2
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_6.0.2:
+ pextrw $1, %xmm7, %edx
+ shrl $15, %edx
+ negl %edx
+ movd %edx, %xmm7
+ pshufd $0, %xmm7, %xmm7
+ movsd 5920(%ebx), %xmm2
+ movsd 5928(%ebx), %xmm0
+ andpd %xmm7, %xmm2
+ andpd %xmm7, %xmm0
+ addsd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_5.0.2:
+ movsd 5888(%ebx), %xmm2
+ movsd 5896(%ebx), %xmm0
+ addsd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm6, %xmm6
+ addsd %xmm6, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+.L_2TAG_PACKET_1.0.2:
+ movl 48(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(acos)
+# -- End acos
+
+# Start file scope ASM
+ALIAS_SYMBOL(acosl, acos);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 3822952792
+ .long 1021639372
+ .long 182792448
+ .long 1068507836
+ .long 2264213271
+ .long 1019558908
+ .long 649052928
+ .long 1068524253
+ .long 1797139609
+ .long 1022295143
+ .long 1243095296
+ .long 1068540671
+ .long 1415938756
+ .long 1021439537
+ .long 2033294592
+ .long 1068557090
+ .long 2356809978
+ .long 1021777916
+ .long 3088063744
+ .long 1068573510
+ .long 2669055318
+ .long 1022124482
+ .long 180888576
+ .long 1068589932
+ .long 3566445325
+ .long 1021358712
+ .long 1970196992
+ .long 1068606354
+ .long 896980323
+ .long 1021319659
+ .long 4229555456
+ .long 1068622777
+ .long 436049712
+ .long 1021319758
+ .long 2732572160
+ .long 1068639202
+ .long 583123209
+ .long 1020797960
+ .long 1842831872
+ .long 1068655628
+ .long 1370449804
+ .long 1021429270
+ .long 1628994560
+ .long 1068672055
+ .long 2411391464
+ .long 1021057980
+ .long 2159763712
+ .long 1068688483
+ .long 1208692749
+ .long 1021943903
+ .long 3503886336
+ .long 1068704912
+ .long 538793309
+ .long 1019744063
+ .long 1435187200
+ .long 1068721343
+ .long 4085087612
+ .long 1020608419
+ .long 317469952
+ .long 1068737775
+ .long 144386942
+ .long 1021440732
+ .long 219617280
+ .long 1068754208
+ .long 2940088361
+ .long 1019981122
+ .long 1210558208
+ .long 1068770642
+ .long 2176850347
+ .long 1018373705
+ .long 3359268352
+ .long 1068787077
+ .long 2395611454
+ .long 1021889042
+ .long 2439803648
+ .long 1068803514
+ .long 1650705253
+ .long 1020227966
+ .long 2816203520
+ .long 1068819952
+ .long 3702166386
+ .long 1019379914
+ .long 262620672
+ .long 1068836392
+ .long 1855649370
+ .long 1020453124
+ .long 3438159616
+ .long 1068852832
+ .long 923063860
+ .long 1019273834
+ .long 3822105856
+ .long 1068869274
+ .long 4289947947
+ .long 1019434249
+ .long 1483729920
+ .long 1068885718
+ .long 787455814
+ .long 1020738379
+ .long 787321088
+ .long 1068902163
+ .long 3321653337
+ .long 1021842569
+ .long 1802253312
+ .long 1068918609
+ .long 2653633526
+ .long 1021821525
+ .long 302985984
+ .long 1068935057
+ .long 161272028
+ .long 1021655149
+ .long 653966080
+ .long 1068951506
+ .long 2566098667
+ .long 1020066219
+ .long 2924727296
+ .long 1068967956
+ .long 3646493722
+ .long 1014292285
+ .long 2889890304
+ .long 1068984408
+ .long 1081009196
+ .long 1022189620
+ .long 619098112
+ .long 1069000862
+ .long 4011643355
+ .long 1021773297
+ .long 477017600
+ .long 1069017317
+ .long 4030305534
+ .long 1021292252
+ .long 2533403904
+ .long 1069033773
+ .long 2645187591
+ .long 1019527099
+ .long 2563102208
+ .long 1069050231
+ .long 3857293792
+ .long 1022311697
+ .long 635982336
+ .long 1069066691
+ .long 3625936637
+ .long 1017511744
+ .long 1116940800
+ .long 1069083152
+ .long 3653872993
+ .long 1022016631
+ .long 4075964160
+ .long 1069099614
+ .long 2468900271
+ .long 1021769532
+ .long 993165568
+ .long 1069116079
+ .long 1358104224
+ .long 1021199776
+ .long 528586752
+ .long 1069132545
+ .long 2200950332
+ .long 1022024872
+ .long 2752395776
+ .long 1069149012
+ .long 3197072454
+ .long 1017751319
+ .long 3439855616
+ .long 1069165481
+ .long 1651081806
+ .long 1020809338
+ .long 2661257728
+ .long 1069181952
+ .long 539032752
+ .long 1021728805
+ .long 486957312
+ .long 1069198425
+ .long 3136045149
+ .long 1016888671
+ .long 1282340352
+ .long 1069214899
+ .long 2593963259
+ .long 1018956103
+ .long 822921728
+ .long 1069231375
+ .long 2146032737
+ .long 1022306465
+ .long 3474216192
+ .long 1069247852
+ .long 3976811625
+ .long 1021350207
+ .long 716902656
+ .long 1069264332
+ .long 718267222
+ .long 1018624727
+ .long 1211594496
+ .long 1069280813
+ .long 1485641389
+ .long 1018447451
+ .long 734070272
+ .long 1069297296
+ .long 354455128
+ .long 1021341291
+ .long 3650110720
+ .long 1069313780
+ .long 682185947
+ .long 1021651853
+ .long 1440663040
+ .long 1069330267
+ .long 3558574550
+ .long 1021615110
+ .long 2766612224
+ .long 1069346755
+ .long 874607978
+ .long 1017746872
+ .long 3404011008
+ .long 1069363245
+ .long 4154988502
+ .long 1021439906
+ .long 3423949056
+ .long 1069379737
+ .long 2263202309
+ .long 1021479615
+ .long 2897587712
+ .long 1069396231
+ .long 2562065031
+ .long 1022090363
+ .long 1896159232
+ .long 1069412727
+ .long 3836237663
+ .long 1019867288
+ .long 490968576
+ .long 1069429225
+ .long 3322056743
+ .long 1006752762
+ .long 3048360192
+ .long 1069445724
+ .long 1152314833
+ .long 1013122252
+ .long 1049850624
+ .long 1069462226
+ .long 3601590727
+ .long 1022214610
+ .long 3156899584
+ .long 1069478729
+ .long 1855169970
+ .long 1019487271
+ .long 851173376
+ .long 1069495235
+ .long 312649594
+ .long 1020868604
+ .long 2794281728
+ .long 1069511742
+ .long 1093490181
+ .long 1020777577
+ .long 468042496
+ .long 1069528252
+ .long 1152540679
+ .long 1021403732
+ .long 2534219264
+ .long 1069544763
+ .long 2292126035
+ .long 1021872430
+ .long 1376146432
+ .long 1069558527
+ .long 3293753641
+ .long 1020500454
+ .long 4175442432
+ .long 1069575044
+ .long 3626347564
+ .long 1021610969
+ .long 3523113472
+ .long 1069591566
+ .long 339956500
+ .long 1021119039
+ .long 4003350528
+ .long 1069608092
+ .long 3429333082
+ .long 1022813542
+ .long 1611067392
+ .long 1069624623
+ .long 2298017544
+ .long 1021977587
+ .long 931782144
+ .long 1069641158
+ .long 2164684743
+ .long 1021250988
+ .long 2256725504
+ .long 1069657697
+ .long 1138762335
+ .long 1021443776
+ .long 1582853120
+ .long 1069674241
+ .long 1084010382
+ .long 1022994693
+ .long 3497758720
+ .long 1069690789
+ .long 406366244
+ .long 1022713586
+ .long 3999816960
+ .long 1069707342
+ .long 1488723042
+ .long 1023381290
+ .long 3383096064
+ .long 1069723900
+ .long 2541558953
+ .long 1019137887
+ .long 1942403584
+ .long 1069740463
+ .long 1879620343
+ .long 1022653642
+ .long 4268263680
+ .long 1069757030
+ .long 3039077047
+ .long 1022252545
+ .long 2067062272
+ .long 1069773603
+ .long 4190670677
+ .long 1020725863
+ .long 4225828096
+ .long 1069790180
+ .long 1998567321
+ .long 1022014385
+ .long 2452507136
+ .long 1069806763
+ .long 1511628873
+ .long 1021900300
+ .long 1340746240
+ .long 1069823351
+ .long 788367341
+ .long 1022726208
+ .long 1190035456
+ .long 1069839944
+ .long 3856337230
+ .long 1021834118
+ .long 2300688384
+ .long 1069856542
+ .long 3211396579
+ .long 1022621365
+ .long 678886400
+ .long 1069873146
+ .long 4001011887
+ .long 1022042646
+ .long 921594112
+ .long 1069889755
+ .long 557811968
+ .long 1023065533
+ .long 3331668992
+ .long 1069906369
+ .long 1877060679
+ .long 1022419742
+ .long 3917875200
+ .long 1069922989
+ .long 1181055171
+ .long 1022752712
+ .long 2984829696
+ .long 1069939615
+ .long 4294526932
+ .long 1021499988
+ .long 838049024
+ .long 1069956247
+ .long 3658081878
+ .long 1022957952
+ .long 2078928384
+ .long 1069972884
+ .long 820353701
+ .long 1019391107
+ .long 2719854336
+ .long 1069989527
+ .long 1644022489
+ .long 1023378240
+ .long 3069117696
+ .long 1070006176
+ .long 2771393702
+ .long 1019319954
+ .long 3435962368
+ .long 1070022831
+ .long 3876394145
+ .long 1023024433
+ .long 4130595328
+ .long 1070039492
+ .long 1630447748
+ .long 1021465882
+ .long 1169236224
+ .long 1070056160
+ .long 2828355997
+ .long 1020458120
+ .long 3453997312
+ .long 1070072833
+ .long 164091641
+ .long 1020388279
+ .long 2708127744
+ .long 1070089513
+ .long 3036550223
+ .long 1023328684
+ .long 3540797696
+ .long 1070106199
+ .long 3710949463
+ .long 1022568805
+ .long 1972276736
+ .long 1070122892
+ .long 3885277950
+ .long 1019761674
+ .long 2613815552
+ .long 1070139591
+ .long 2764165077
+ .long 1022921023
+ .long 1487791616
+ .long 1070156297
+ .long 1330644769
+ .long 1023162679
+ .long 3207593472
+ .long 1070173009
+ .long 3911007221
+ .long 1022993496
+ .long 3797764608
+ .long 1070189728
+ .long 979712598
+ .long 1022554580
+ .long 3578920448
+ .long 1070206454
+ .long 2825738223
+ .long 1020223708
+ .long 2872795648
+ .long 1070223187
+ .long 392451124
+ .long 1022666279
+ .long 2002258432
+ .long 1070239927
+ .long 3730407632
+ .long 1023148291
+ .long 1291326464
+ .long 1070256674
+ .long 3723802980
+ .long 1022514089
+ .long 1065180928
+ .long 1070273428
+ .long 2635617463
+ .long 1022654470
+ .long 1650181632
+ .long 1070290189
+ .long 2061982883
+ .long 1022853411
+ .long 3373882880
+ .long 1070306957
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+ .long 983892938
+ .long 1072433073
+ .long 2722858568
+ .long 1072428537
+ .long 302790515
+ .long 1072423954
+ .long 759811057
+ .long 1072419322
+ .long 2507809922
+ .long 1072414641
+ .long 2388408813
+ .long 1072407528
+ .long 2084492942
+ .long 1072397870
+ .long 2435703301
+ .long 1072388010
+ .long 1935433360
+ .long 1072377945
+ .long 2742047290
+ .long 1072367671
+ .long 2053284205
+ .long 1072357185
+ .long 657783367
+ .long 1072346483
+ .long 2893664841
+ .long 1072335560
+ .long 3718906405
+ .long 1072324413
+ .long 1547896303
+ .long 1072313038
+ .long 2494058440
+ .long 1072301429
+ .long 3133238742
+ .long 1072289582
+ .long 3327000086
+ .long 1072277492
+ .long 1860667274
+ .long 1072265154
+ .long 665340747
+ .long 1072252562
+ .long 443347841
+ .long 1072239710
+ .long 581282618
+ .long 1072226592
+ .long 3349780465
+ .long 1072213201
+ .long 914217606
+ .long 1072199532
+ .long 989797661
+ .long 1072185576
+ .long 945436416
+ .long 1072171326
+ .long 549291300
+ .long 1072156774
+ .long 1814636389
+ .long 1072141911
+ .long 239092858
+ .long 1072126729
+ .long 1794680724
+ .long 1072111217
+ .long 1241534678
+ .long 1072095366
+ .long 3366566214
+ .long 1072079164
+ .long 1244090828
+ .long 1072062601
+ .long 1708448120
+ .long 1072045663
+ .long 3544260650
+ .long 1072028337
+ .long 1402741403
+ .long 1072010610
+ .long 2551936888
+ .long 1071992465
+ .long 617669739
+ .long 1071973887
+ .long 794002186
+ .long 1071954857
+ .long 2021237693
+ .long 1071935356
+ .long 540450384
+ .long 1071915364
+ .long 1920555537
+ .long 1071894857
+ .long 2879585206
+ .long 1071873811
+ .long 3000237455
+ .long 1071852199
+ .long 3352974346
+ .long 1071829991
+ .long 569629937
+ .long 1071807155
+ .long 2077237208
+ .long 1071783653
+ .long 2284891805
+ .long 1071759446
+ .long 1226651784
+ .long 1071734489
+ .long 1102047405
+ .long 1071708731
+ .long 2009896384
+ .long 1071682115
+ .long 927419082
+ .long 1071654577
+ .long 85010366
+ .long 1071607413
+ .long 696431025
+ .long 1071548180
+ .long 2611410541
+ .long 1071486585
+ .long 2612593658
+ .long 1071422396
+ .long 3548155306
+ .long 1071355336
+ .long 3887997484
+ .long 1071285073
+ .long 244854763
+ .long 1071211202
+ .long 4214445648
+ .long 1071133216
+ .long 2303966727
+ .long 1071050478
+ .long 3991040013
+ .long 1070962152
+ .long 3126952278
+ .long 1070867118
+ .long 1817448378
+ .long 1070763804
+ .long 1793814864
+ .long 1070649884
+ .long 3507224072
+ .long 1070447193
+ .long 4027609105
+ .long 1070148772
+ .long 577507993
+ .long 1069779414
+ .long 2310232419
+ .long 1068931829
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 3164710438
+ .long 1413754136
+ .long 3221823995
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 1074340347
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 1431655765
+ .long 3217380693
+ .long 858993459
+ .long 3216192307
+ .long 3067833783
+ .long 3215383405
+ .long 780903145
+ .long 1066854586
+ .long 858993459
+ .long 1068708659
+ .long 3340530119
+ .long 1067392113
+ .long 1431655765
+ .long 1069897045
+ .long 1321528399
+ .long 1066517740
+ .long 3067833783
+ .long 1067899757
+ .long 2021159460
+ .long 1065855096
+ .long 2576980378
+ .long 1066178969
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 0
+ .long 0
+ .long 4294950912
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 0
+ .type static_const_table,@object
+ .size static_const_table,6112
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_asin.S b/libm/x86/e_asin.S
new file mode 100644
index 0000000..5d7f331
--- /dev/null
+++ b/libm/x86/e_asin.S
@@ -0,0 +1,2003 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// To compute asin(s), separate schemes are used when s is in different
+// intervals.
+//
+// |s| in [2^{-4}, sqrt(3)/2):
+// Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52
+// asin(s)=asin(t)+asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2)
+// asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7)
+// For the first degree term, r is evaluated as
+// R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t)
+// (sqrt(1-t^2) read from table)
+// The main source of error is still R (may still be affected by up to 3 ulps
+// of rounding error). The table size must be sufficiently large, to minimize
+// this effect.
+//
+// |s| in [sqrt(3)/2, 255/256):
+// Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded)
+// asin(|s|)=pi/2-asin(t)+asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// asin(r) evaluated as polynomial (same as above)
+// The first degree term is evaluated as
+// r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2))
+//
+// |s|<2^{-4}: evaluate as 13-degree polynomial
+//
+// |s| in [255/256,1): asin(|s|)=pi/2-asin(sqrt(1-s^2))
+// use 17-degree polynomial, get error term
+// Q*eps ~ (1-s^2-Q^2)/(2*Q) for first term
+// ( Q(1+eps)=sqrt(1-s^2) )
+//
+// Special cases:
+// asin(NaN) = quiet NaN, and raise invalid exception
+// asin(INF) = QNaN and raise invalid exception
+// asin(x) = QNaN and raise invalid exception, for |x|>1.0
+// asin(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin asin
+ENTRY(asin)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 64(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ stmxcsr 16(%esp)
+ movl 16(%esp), %edx
+ andl $-24577, %edx
+ cmpl %edx, 16(%esp)
+ jne .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ movsd 5984(%ebx), %xmm4
+ movsd 6016(%ebx), %xmm3
+ xorpd %xmm5, %xmm5
+ movsd 6000(%ebx), %xmm2
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movapd %xmm0, %xmm1
+ movsd %xmm0, 8(%esp)
+ psrlq $44, %xmm0
+ movd %xmm0, %edx
+ movapd %xmm1, %xmm7
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movapd %xmm1, %xmm0
+ movl $524287, %eax
+ andl %edx, %eax
+ subl $260864, %eax
+ cmpl $955, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ mulsd %xmm1, %xmm1
+ andl $65535, %edx
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andpd %xmm7, %xmm2
+ andl $-4, %edx
+ subl $64256, %edx
+ movsd 3936(%ebx,%edx,2), %xmm1
+ orpd %xmm5, %xmm2
+ movapd 96(%ebx,%edx,4), %xmm4
+ movapd %xmm7, %xmm6
+ addsd %xmm2, %xmm7
+ subsd %xmm2, %xmm0
+ mulsd %xmm7, %xmm0
+ mulsd %xmm1, %xmm6
+ mulsd %xmm2, %xmm3
+ movapd %xmm6, %xmm1
+ addsd %xmm3, %xmm6
+ divsd %xmm6, %xmm0
+ movsd 80(%ebx), %xmm7
+ movsd 64(%ebx), %xmm5
+ subsd %xmm3, %xmm1
+ andpd 6064(%ebx), %xmm2
+ movapd %xmm1, %xmm3
+ mulsd %xmm1, %xmm1
+ movsd 72(%ebx), %xmm6
+ mulsd %xmm1, %xmm3
+ mulsd %xmm1, %xmm7
+ mulsd %xmm3, %xmm5
+ xorpd %xmm2, %xmm4
+ mulsd %xmm1, %xmm3
+ addsd %xmm7, %xmm6
+ mulsd %xmm3, %xmm6
+ addsd %xmm4, %xmm5
+ pshufd $238, %xmm4, %xmm4
+ addsd %xmm5, %xmm6
+ orpd %xmm2, %xmm4
+ addsd %xmm6, %xmm0
+ movl 16(%esp), %eax
+ andl $-24577, %eax
+ cmpl 16(%esp), %eax
+ je .L_2TAG_PACKET_3.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %eax
+ andl $24576, %eax
+ orl %eax, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_3.0.2:
+ addsd %xmm4, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_2.0.2:
+ subl $955, %eax
+ cmpl $67, %eax
+ jae .L_2TAG_PACKET_5.0.2
+ mulsd %xmm1, %xmm1
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ movl %edx, %eax
+ andpd 5984(%ebx), %xmm0
+ andpd 6048(%ebx), %xmm7
+ movapd %xmm0, %xmm1
+ movsd 6016(%ebx), %xmm4
+ movapd %xmm7, %xmm6
+ subsd %xmm7, %xmm1
+ mulsd %xmm7, %xmm7
+ addsd %xmm6, %xmm0
+ subsd %xmm7, %xmm4
+ mulsd %xmm1, %xmm0
+ movapd %xmm3, %xmm7
+ andpd %xmm3, %xmm2
+ psllq $2, %xmm3
+ pextrw $3, %xmm3, %edx
+ orpd %xmm5, %xmm2
+ subl $65216, %edx
+ addl %edx, %edx
+ mulsd 3936(%ebx,%edx,4), %xmm7
+ mulsd %xmm2, %xmm6
+ movapd 6080(%ebx), %xmm3
+ mulsd %xmm2, %xmm1
+ mulsd %xmm2, %xmm2
+ subsd %xmm7, %xmm6
+ addsd %xmm1, %xmm6
+ subsd %xmm2, %xmm4
+ addsd %xmm7, %xmm7
+ movsd 64(%ebx), %xmm5
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm7
+ movsd 80(%ebx), %xmm0
+ divsd %xmm7, %xmm4
+ movsd 72(%ebx), %xmm2
+ subpd 96(%ebx,%edx,8), %xmm3
+ movapd %xmm6, %xmm1
+ mulsd %xmm6, %xmm6
+ andl $524288, %eax
+ shrl $4, %eax
+ mulsd %xmm6, %xmm0
+ mulsd %xmm6, %xmm1
+ mulsd %xmm1, %xmm5
+ mulsd %xmm6, %xmm1
+ addsd %xmm2, %xmm0
+ pxor %xmm6, %xmm6
+ mulsd %xmm1, %xmm0
+ addsd %xmm3, %xmm5
+ pinsrw $3, %eax, %xmm6
+ addsd %xmm5, %xmm0
+ movapd %xmm4, %xmm5
+ pshufd $238, %xmm3, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm3
+ subsd %xmm3, %xmm5
+ subsd %xmm5, %xmm0
+ movl 16(%esp), %eax
+ andl $-24577, %eax
+ cmpl 16(%esp), %eax
+ je .L_2TAG_PACKET_6.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %eax
+ andl $24576, %eax
+ orl %eax, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm6, %xmm0
+ xorpd %xmm6, %xmm4
+ subsd %xmm4, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ addl $15291, %eax
+ cmpl $14336, %eax
+ jae .L_2TAG_PACKET_7.0.2
+ unpcklpd %xmm7, %xmm7
+ movapd (%ebx), %xmm1
+ movapd %xmm7, %xmm6
+ movapd 16(%ebx), %xmm2
+ movapd 32(%ebx), %xmm4
+ mulpd %xmm7, %xmm7
+ mulpd %xmm7, %xmm6
+ mulpd %xmm7, %xmm1
+ mulpd %xmm7, %xmm7
+ movapd %xmm6, %xmm3
+ mulsd %xmm6, %xmm6
+ addpd %xmm2, %xmm1
+ mulpd %xmm7, %xmm4
+ mulsd %xmm3, %xmm6
+ addpd %xmm4, %xmm1
+ mulpd %xmm6, %xmm1
+ pshufd $238, %xmm1, %xmm2
+ addsd %xmm2, %xmm1
+ movl 16(%esp), %eax
+ andl $-24577, %eax
+ cmpl 16(%esp), %eax
+ je .L_2TAG_PACKET_8.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %eax
+ andl $24576, %eax
+ orl %eax, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_8.0.2:
+ addsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_7.0.2:
+ subl $15358, %eax
+ cmpl $2, %eax
+ jae .L_2TAG_PACKET_9.0.2
+ mulsd %xmm1, %xmm1
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ movl %edx, %eax
+ andpd 6032(%ebx), %xmm7
+ pshufd $68, %xmm3, %xmm5
+ andpd 6032(%ebx), %xmm3
+ movapd %xmm7, %xmm1
+ movsd 6016(%ebx), %xmm4
+ movapd %xmm7, %xmm6
+ subsd %xmm7, %xmm0
+ mulsd %xmm7, %xmm7
+ addsd %xmm1, %xmm1
+ mulsd %xmm0, %xmm1
+ subsd %xmm7, %xmm4
+ movapd %xmm3, %xmm6
+ mulsd %xmm3, %xmm3
+ mulsd %xmm0, %xmm0
+ subsd %xmm1, %xmm4
+ subsd %xmm5, %xmm6
+ addsd %xmm5, %xmm5
+ subsd %xmm3, %xmm4
+ movapd (%ebx), %xmm2
+ pshufd $238, %xmm5, %xmm3
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm5
+ pshufd $238, %xmm3, %xmm7
+ addsd %xmm3, %xmm3
+ mulsd %xmm6, %xmm5
+ addsd %xmm5, %xmm4
+ pshufd $238, %xmm7, %xmm6
+ divsd %xmm3, %xmm4
+ movapd 48(%ebx), %xmm1
+ movapd 16(%ebx), %xmm5
+ movapd 32(%ebx), %xmm0
+ mulpd %xmm7, %xmm7
+ movapd %xmm6, %xmm3
+ mulpd %xmm7, %xmm2
+ mulpd %xmm7, %xmm6
+ shrl $4, %eax
+ andl $32768, %eax
+ mulsd %xmm7, %xmm1
+ mulpd %xmm7, %xmm7
+ addpd %xmm2, %xmm5
+ movapd %xmm6, %xmm2
+ mulsd %xmm6, %xmm6
+ mulpd %xmm0, %xmm7
+ movapd 6080(%ebx), %xmm0
+ mulsd %xmm6, %xmm2
+ addpd %xmm5, %xmm7
+ pshufd $238, %xmm1, %xmm5
+ mulsd %xmm2, %xmm6
+ mulpd %xmm2, %xmm7
+ addsd %xmm5, %xmm1
+ xorpd %xmm5, %xmm5
+ pshufd $238, %xmm7, %xmm2
+ mulsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm2, %xmm7
+ movapd %xmm3, %xmm2
+ pinsrw $3, %eax, %xmm5
+ subsd %xmm6, %xmm3
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm6
+ addsd %xmm4, %xmm7
+ subsd %xmm6, %xmm2
+ subsd %xmm7, %xmm0
+ subsd %xmm2, %xmm0
+ movl 16(%esp), %eax
+ andl $-24577, %eax
+ cmpl 16(%esp), %eax
+ je .L_2TAG_PACKET_10.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %eax
+ andl $24576, %eax
+ orl %eax, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_10.0.2:
+ xorpd %xmm5, %xmm0
+ xorpd %xmm5, %xmm3
+ subsd %xmm3, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_9.0.2:
+ addl $261886, %eax
+ cmpl $261888, %eax
+ jb .L_2TAG_PACKET_11.0.2
+ movd %xmm0, %ecx
+ psrlq $32, %xmm0
+ movd %xmm0, %edx
+ andl $2147483647, %edx
+ movl $1072693248, %eax
+ subl %edx, %eax
+ orl %ecx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_12.0.2
+ movq 8(%esp), %xmm2
+ movd %xmm2, %edx
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $2147483647, %ecx
+ subl $1, %edx
+ sbbl $2146435072, %ecx
+ cmpl $0, %ecx
+ jge .L_2TAG_PACKET_11.0.2
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_13.0.2
+.L_2TAG_PACKET_12.0.2:
+ movsd 5984(%ebx), %xmm1
+ movsd 6080(%ebx), %xmm2
+ movsd 6088(%ebx), %xmm0
+ movl 16(%esp), %eax
+ andl $-24577, %eax
+ cmpl 16(%esp), %eax
+ je .L_2TAG_PACKET_14.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %eax
+ andl $24576, %eax
+ orl %eax, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_14.0.2:
+ andnpd %xmm7, %xmm1
+ orpd %xmm1, %xmm0
+ orpd %xmm1, %xmm2
+ addsd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_0.0.2:
+ movl 16(%esp), %edx
+ andl $-24577, %edx
+ movl %edx, 24(%esp)
+ ldmxcsr 24(%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_11.0.2:
+ movsd 8(%esp), %xmm0
+ xorpd %xmm6, %xmm6
+ movapd %xmm0, %xmm7
+ pextrw $3, %xmm0, %edx
+ andl $32752, %edx
+ subl $16, %edx
+ cmpl $32736, %edx
+ jb .L_2TAG_PACKET_15.0.2
+ addsd %xmm0, %xmm6
+ orpd %xmm6, %xmm0
+ mulsd %xmm0, %xmm7
+.L_2TAG_PACKET_15.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+.L_2TAG_PACKET_13.0.2:
+ movl 16(%esp), %edx
+ andl $-24577, %edx
+ cmpl 16(%esp), %edx
+ je .L_2TAG_PACKET_4.0.2
+ stmxcsr 24(%esp)
+ movl 16(%esp), %edx
+ andl $24576, %edx
+ orl %edx, 24(%esp)
+ ldmxcsr 24(%esp)
+.L_2TAG_PACKET_4.0.2:
+ movl 64(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(asin)
+# -- End asin
+
+# Start file scope ASM
+ALIAS_SYMBOL(asinl, asin);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 780903145
+ .long 1066854586
+ .long 858993459
+ .long 1068708659
+ .long 3340530119
+ .long 1067392113
+ .long 1431655765
+ .long 1069897045
+ .long 1321528399
+ .long 1066517740
+ .long 3067833783
+ .long 1067899757
+ .long 2021159460
+ .long 1065855096
+ .long 2576980378
+ .long 1066178969
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+ .long 0
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+ .long 1021440732
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+ .long 1019448646
+ .long 1144442880
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+ .long 1022123948
+ .long 2410165504
+ .long 1070958426
+ .long 1804181960
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+ .long 1070975795
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+ .long 1021716585
+ .long 3897012480
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+ .long 1023703404
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+ .long 1071010611
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+ .long 1023240839
+ .long 45671168
+ .long 1071028059
+ .long 2166856113
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+ .long 86063872
+ .long 1071045533
+ .long 2676254727
+ .long 1023985299
+ .long 1019772672
+ .long 1071063034
+ .long 989043593
+ .long 1021549587
+ .long 414297344
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+ .long 3960972046
+ .long 1024307251
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+ .long 2151562240
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+ .long 1023423128
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+ .long 1071133319
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+ .long 1024411503
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+ .long 2477196288
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+ .long 1812195139
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+ .long 3015298816
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+ .long 764841969
+ .long 1021027331
+ .long 2844731136
+ .long 1071204076
+ .long 2878117321
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+ .long 4028950528
+ .long 1071221842
+ .long 698911452
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+ .long 1071239641
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+ .long 1020795075
+ .long 1676209920
+ .long 1071257471
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+ .long 1022873982
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+ .long 1071275334
+ .long 648519100
+ .long 1024385717
+ .long 151623680
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+ .long 345257017
+ .long 1019561408
+ .long 1410154240
+ .long 1071311161
+ .long 197863993
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+ .long 4131351552
+ .long 1071329125
+ .long 2620801789
+ .long 1024411169
+ .long 1999664384
+ .long 1071347125
+ .long 3952692616
+ .long 1024168086
+ .long 1617668864
+ .long 1071365160
+ .long 3019889809
+ .long 1021907692
+ .long 1032074240
+ .long 1071383231
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+ .long 1023656194
+ .long 2619492096
+ .long 1071401338
+ .long 1417526820
+ .long 1021457783
+ .long 202429440
+ .long 1071419483
+ .long 2927667935
+ .long 1019175447
+ .long 525044224
+ .long 1071437665
+ .long 38166811
+ .long 1023981879
+ .long 1779258880
+ .long 1071455885
+ .long 481252500
+ .long 1023310234
+ .long 2195673600
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+ .long 3962395981
+ .long 1021339088
+ .long 44573696
+ .long 1071492443
+ .long 3936281395
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+ .long 2226905344
+ .long 1071510781
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+ .long 1024320623
+ .long 2800512512
+ .long 1071529160
+ .long 1225403697
+ .long 1021081846
+ .long 161113600
+ .long 1071547581
+ .long 3064809733
+ .long 1024173917
+ .long 1338410240
+ .long 1071566043
+ .long 2027604973
+ .long 1024362526
+ .long 522433280
+ .long 1071584548
+ .long 2055171723
+ .long 1023858825
+ .long 539595776
+ .long 1071603096
+ .long 3868820135
+ .long 1022936424
+ .long 4264017664
+ .long 1071621687
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+ .long 1023479578
+ .long 1733924096
+ .long 1071640324
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+ .long 1022496355
+ .long 108880384
+ .long 1071651839
+ .long 615880967
+ .long 1023519706
+ .long 3517856512
+ .long 1071661202
+ .long 3113108559
+ .long 1025190289
+ .long 4043153152
+ .long 1071670589
+ .long 1571836218
+ .long 1023106116
+ .long 3251299072
+ .long 1071680000
+ .long 3444076102
+ .long 1022187841
+ .long 2736921600
+ .long 1071689435
+ .long 272771483
+ .long 1025095280
+ .long 3897698560
+ .long 1071703633
+ .long 2075390188
+ .long 1022489022
+ .long 3209485056
+ .long 1071722652
+ .long 1438094065
+ .long 1021844944
+ .long 3781432064
+ .long 1071741774
+ .long 1675017145
+ .long 1024143828
+ .long 2684184064
+ .long 1071761003
+ .long 2259963753
+ .long 1024731393
+ .long 1840489728
+ .long 1071780342
+ .long 3372883597
+ .long 1023431408
+ .long 3764087808
+ .long 1071799794
+ .long 3307523102
+ .long 1024485788
+ .long 3006232320
+ .long 1071819364
+ .long 3088971966
+ .long 1025213251
+ .long 3374881280
+ .long 1071839055
+ .long 834437749
+ .long 1025236452
+ .long 797284864
+ .long 1071858872
+ .long 3122663941
+ .long 1025320473
+ .long 545765120
+ .long 1071878818
+ .long 826539625
+ .long 1022450955
+ .long 107562240
+ .long 1071898898
+ .long 339584600
+ .long 1022481255
+ .long 2123649024
+ .long 1071919116
+ .long 3912959833
+ .long 1024321009
+ .long 1562385664
+ .long 1071939478
+ .long 2846067230
+ .long 1023343981
+ .long 2963085824
+ .long 1071959988
+ .long 954548627
+ .long 1021475211
+ .long 3325550592
+ .long 1071980652
+ .long 3459651155
+ .long 1025305573
+ .long 775752448
+ .long 1072001476
+ .long 3582746667
+ .long 1023859460
+ .long 3238590720
+ .long 1072022464
+ .long 634636162
+ .long 1024472353
+ .long 2758801920
+ .long 1072043624
+ .long 3078216319
+ .long 1025304516
+ .long 1370319104
+ .long 1072064962
+ .long 2570569078
+ .long 1025099442
+ .long 2615805184
+ .long 1072086484
+ .long 3729933412
+ .long 1024605112
+ .long 3077336576
+ .long 1072108198
+ .long 1948916066
+ .long 1024781603
+ .long 1099528192
+ .long 1072130112
+ .long 3139143157
+ .long 1023729360
+ .long 1231903232
+ .long 1072152233
+ .long 1349513477
+ .long 1024737515
+ .long 1507504128
+ .long 1072174570
+ .long 3484516322
+ .long 1024000959
+ .long 2214659840
+ .long 1072197132
+ .long 2563820917
+ .long 1025225535
+ .long 1804739840
+ .long 1072219929
+ .long 760038746
+ .long 1024482855
+ .long 1413746688
+ .long 1072242971
+ .long 3401734714
+ .long 1025129838
+ .long 821409536
+ .long 1072266269
+ .long 3729772551
+ .long 1025484796
+ .long 3031825664
+ .long 1072289834
+ .long 122256749
+ .long 1024752594
+ .long 1710784256
+ .long 1072313680
+ .long 1518205483
+ .long 1024724809
+ .long 3025265152
+ .long 1072337819
+ .long 409951989
+ .long 1022835555
+ .long 287769088
+ .long 1072362267
+ .long 800355594
+ .long 1022484850
+ .long 198179840
+ .long 1072387038
+ .long 3502926213
+ .long 1024209373
+ .long 1909130496
+ .long 1072412149
+ .long 3064694319
+ .long 1025380823
+ .long 1941732096
+ .long 1072437619
+ .long 4112930390
+ .long 1024294679
+ .long 3492010496
+ .long 1072463467
+ .long 2684918107
+ .long 1023220233
+ .long 81959680
+ .long 1072489716
+ .long 220021366
+ .long 1020635131
+ .long 2297837056
+ .long 1072516387
+ .long 4027683826
+ .long 1021041185
+ .long 270404096
+ .long 1072543508
+ .long 2012766065
+ .long 1021780753
+ .long 3667376896
+ .long 1072571105
+ .long 2727981522
+ .long 1023009874
+ .long 330400256
+ .long 1072599212
+ .long 2940017003
+ .long 1025393439
+ .long 1119293952
+ .long 1072627861
+ .long 1608550416
+ .long 1022675612
+ .long 3536155904
+ .long 1072657091
+ .long 349665778
+ .long 1025156751
+ .long 3078046720
+ .long 1072686946
+ .long 2016159996
+ .long 1022193169
+ .long 455228416
+ .long 1072705361
+ .long 1908539328
+ .long 1026126332
+ .long 1871505664
+ .long 1072720988
+ .long 2784700894
+ .long 1025922277
+ .long 1630994432
+ .long 1072737010
+ .long 361107678
+ .long 1022887244
+ .long 2084558336
+ .long 1072753462
+ .long 2642784509
+ .long 1072689083
+ .long 1514442531
+ .long 1072688953
+ .long 333108933
+ .long 1072688821
+ .long 3392112024
+ .long 1072688686
+ .long 2099852862
+ .long 1072688550
+ .long 749609004
+ .long 1072688412
+ .long 3634632596
+ .long 1072688271
+ .long 2163248461
+ .long 1072688129
+ .long 628657846
+ .long 1072687985
+ .long 3324036511
+ .long 1072687838
+ .long 1657632815
+ .long 1072687690
+ .long 4217538760
+ .long 1072687539
+ .long 2411951597
+ .long 1072687387
+ .long 533944872
+ .long 1072687233
+ .long 2876566508
+ .long 1072687076
+ .long 847936891
+ .long 1072686918
+ .long 3036019913
+ .long 1072686757
+ .long 848884575
+ .long 1072686595
+ .long 2874443326
+ .long 1072686430
+ .long 520713666
+ .long 1072686264
+ .long 2375556481
+ .long 1072686095
+ .long 4141904948
+ .long 1072685924
+ .long 1522666382
+ .long 1072685752
+ .long 3105624104
+ .long 1072685577
+ .long 298666327
+ .long 1072685401
+ .long 1689524500
+ .long 1072685222
+ .long 2981002200
+ .long 1072685041
+ .long 4170844284
+ .long 1072684858
+ .long 961802263
+ .long 1072684674
+ .long 1941503454
+ .long 1072684487
+ .long 2812647170
+ .long 1072684298
+ .long 3572873869
+ .long 1072684107
+ .long 4219797823
+ .long 1072683914
+ .long 456039788
+ .long 1072683720
+ .long 869096151
+ .long 1072683523
+ .long 1161535119
+ .long 1072683324
+ .long 1330865866
+ .long 1072683123
+ .long 1374571204
+ .long 1072682920
+ .long 1290107538
+ .long 1072682715
+ .long 1074904836
+ .long 1072682508
+ .long 726366587
+ .long 1072682299
+ .long 241869763
+ .long 1072682088
+ .long 3913732079
+ .long 1072681874
+ .long 3149342765
+ .long 1072681659
+ .long 2240966306
+ .long 1072681442
+ .long 1185873216
+ .long 1072681223
+ .long 4276274591
+ .long 1072681001
+ .long 2919452883
+ .long 1072680778
+ .long 1407565635
+ .long 1072680553
+ .long 4032743551
+ .long 1072680325
+ .long 2202188565
+ .long 1072680096
+ .long 207977577
+ .long 1072679865
+ .long 2342160518
+ .long 1072679631
+ .long 11858423
+ .long 1072679396
+ .long 1804034453
+ .long 1072679158
+ .long 3420722787
+ .long 1072678918
+ .long 563930456
+ .long 1072678677
+ .long 1820539192
+ .long 1072678433
+ .long 2892501606
+ .long 1072678187
+ .long 3776710320
+ .long 1072677939
+ .long 175063337
+ .long 1072677690
+ .long 674333171
+ .long 1072677438
+ .long 976363026
+ .long 1072677184
+ .long 1077935934
+ .long 1072676928
+ .long 1921075490
+ .long 1072676540
+ .long 881493302
+ .long 1072676016
+ .long 3275752439
+ .long 1072675483
+ .long 486855588
+ .long 1072674943
+ .long 1077229111
+ .long 1072674394
+ .long 723950308
+ .long 1072673837
+ .long 3693582199
+ .long 1072673271
+ .long 1367335316
+ .long 1072672698
+ .long 2305837020
+ .long 1072672116
+ .long 2184358641
+ .long 1072671526
+ .long 972682840
+ .long 1072670928
+ .long 2935101762
+ .long 1072670321
+ .long 3745513263
+ .long 1072669706
+ .long 3372320886
+ .long 1072669083
+ .long 1783464620
+ .long 1072668452
+ .long 3241386215
+ .long 1072667812
+ .long 3418125284
+ .long 1072667164
+ .long 2280219148
+ .long 1072666508
+ .long 4088700758
+ .long 1072665843
+ .long 219227400
+ .long 1072665171
+ .long 3521816918
+ .long 1072664489
+ .long 1076205279
+ .long 1072663800
+ .long 1436484616
+ .long 1072663102
+ .long 271362610
+ .long 1072662396
+ .long 1838996688
+ .long 1072661681
+ .long 1807122518
+ .long 1072660958
+ .long 137953542
+ .long 1072660227
+ .long 1088178584
+ .long 1072659487
+ .long 324057537
+ .long 1072658739
+ .long 2101288076
+ .long 1072657982
+ .long 2085133974
+ .long 1072657217
+ .long 235324451
+ .long 1072656444
+ .long 806051592
+ .long 1072655662
+ .long 3756033140
+ .long 1072654871
+ .long 453542543
+ .long 1072654073
+ .long 3741177327
+ .long 1072653265
+ .long 691216109
+ .long 1072652450
+ .long 4145223372
+ .long 1072651625
+ .long 1174439091
+ .long 1072650793
+ .long 324416139
+ .long 1072649952
+ .long 1550246310
+ .long 1072649102
+ .long 511524674
+ .long 1072648244
+ .long 1457248482
+ .long 1072647377
+ .long 45944955
+ .long 1072646502
+ .long 525537397
+ .long 1072645618
+ .long 2848440188
+ .long 1072644725
+ .long 2671555633
+ .long 1072643824
+ .long 4241172637
+ .long 1072642914
+ .long 3213094278
+ .long 1072641996
+ .long 3832503688
+ .long 1072641069
+ .long 1754091534
+ .long 1072640134
+ .long 1221921804
+ .long 1072639190
+ .long 2184526489
+ .long 1072638237
+ .long 294902089
+ .long 1072637276
+ .long 4090375270
+ .long 1072636305
+ .long 632860906
+ .long 1072635327
+ .long 2753498702
+ .long 1072634339
+ .long 1808009252
+ .long 1072633343
+ .long 2036428672
+ .long 1072632338
+ .long 3383235626
+ .long 1072631324
+ .long 1497347484
+ .long 1072630302
+ .long 617018317
+ .long 1072629271
+ .long 684933058
+ .long 1072628231
+ .long 1643170798
+ .long 1072627182
+ .long 3011066360
+ .long 1072625592
+ .long 957158713
+ .long 1072623442
+ .long 1390907941
+ .long 1072621256
+ .long 3819155270
+ .long 1072619034
+ .long 3443571196
+ .long 1072616777
+ .long 4045412458
+ .long 1072614484
+ .long 805503923
+ .long 1072612156
+ .long 1778922015
+ .long 1072609791
+ .long 2125033665
+ .long 1072607390
+ .long 1287203863
+ .long 1072604953
+ .long 2992629568
+ .long 1072602479
+ .long 2367267127
+ .long 1072599969
+ .long 3115526047
+ .long 1072597422
+ .long 340219539
+ .long 1072594839
+ .long 2017215719
+ .long 1072592218
+ .long 3225443424
+ .long 1072589560
+ .long 3326565673
+ .long 1072586865
+ .long 1669811211
+ .long 1072584133
+ .long 1886735022
+ .long 1072581363
+ .long 3301071171
+ .long 1072578555
+ .long 928514283
+ .long 1072575710
+ .long 2656364059
+ .long 1072572826
+ .long 3473490507
+ .long 1072569904
+ .long 2649965606
+ .long 1072566944
+ .long 3736819052
+ .long 1072563945
+ .long 1680885175
+ .long 1072560908
+ .long 4413771
+ .long 1072557832
+ .long 2214869753
+ .long 1072554716
+ .long 3214725184
+ .long 1072551561
+ .long 2186079903
+ .long 1072548367
+ .long 2590372131
+ .long 1072545133
+ .long 3578146079
+ .long 1072541859
+ .long 4283712755
+ .long 1072538545
+ .long 3824834510
+ .long 1072535191
+ .long 1302400298
+ .long 1072531797
+ .long 95058636
+ .long 1072528362
+ .long 3563906063
+ .long 1072524885
+ .long 2167230730
+ .long 1072521368
+ .long 3524918334
+ .long 1072517809
+ .long 2353304918
+ .long 1072514209
+ .long 1939625839
+ .long 1072510567
+ .long 1256714581
+ .long 1072506883
+ .long 3552525848
+ .long 1072503156
+ .long 3464809522
+ .long 1072499387
+ .long 4200542593
+ .long 1072495575
+ .long 355609124
+ .long 1072491721
+ .long 3684139099
+ .long 1072487822
+ .long 148355918
+ .long 1072483881
+ .long 1457689242
+ .long 1072479895
+ .long 2118591596
+ .long 1072475865
+ .long 908848089
+ .long 1072471791
+ .long 877032689
+ .long 1072467672
+ .long 752012304
+ .long 1072463508
+ .long 3532301749
+ .long 1072459298
+ .long 3600563221
+ .long 1072455043
+ .long 3902857084
+ .long 1072450742
+ .long 3063101036
+ .long 1072446395
+ .long 3972344374
+ .long 1072442001
+ .long 903183549
+ .long 1072437561
+ .long 983892938
+ .long 1072433073
+ .long 2722858568
+ .long 1072428537
+ .long 302790515
+ .long 1072423954
+ .long 759811057
+ .long 1072419322
+ .long 2507809922
+ .long 1072414641
+ .long 2388408813
+ .long 1072407528
+ .long 2084492942
+ .long 1072397870
+ .long 2435703301
+ .long 1072388010
+ .long 1935433360
+ .long 1072377945
+ .long 2742047290
+ .long 1072367671
+ .long 2053284205
+ .long 1072357185
+ .long 657783367
+ .long 1072346483
+ .long 2893664841
+ .long 1072335560
+ .long 3718906405
+ .long 1072324413
+ .long 1547896303
+ .long 1072313038
+ .long 2494058440
+ .long 1072301429
+ .long 3133238742
+ .long 1072289582
+ .long 3327000086
+ .long 1072277492
+ .long 1860667274
+ .long 1072265154
+ .long 665340747
+ .long 1072252562
+ .long 443347841
+ .long 1072239710
+ .long 581282618
+ .long 1072226592
+ .long 3349780465
+ .long 1072213201
+ .long 914217606
+ .long 1072199532
+ .long 989797661
+ .long 1072185576
+ .long 945436416
+ .long 1072171326
+ .long 549291300
+ .long 1072156774
+ .long 1814636389
+ .long 1072141911
+ .long 239092858
+ .long 1072126729
+ .long 1794680724
+ .long 1072111217
+ .long 1241534678
+ .long 1072095366
+ .long 3366566214
+ .long 1072079164
+ .long 1244090828
+ .long 1072062601
+ .long 1708448120
+ .long 1072045663
+ .long 3544260650
+ .long 1072028337
+ .long 1402741403
+ .long 1072010610
+ .long 2551936888
+ .long 1071992465
+ .long 617669739
+ .long 1071973887
+ .long 794002186
+ .long 1071954857
+ .long 2021237693
+ .long 1071935356
+ .long 540450384
+ .long 1071915364
+ .long 1920555537
+ .long 1071894857
+ .long 2879585206
+ .long 1071873811
+ .long 3000237455
+ .long 1071852199
+ .long 3352974346
+ .long 1071829991
+ .long 569629937
+ .long 1071807155
+ .long 2077237208
+ .long 1071783653
+ .long 2284891805
+ .long 1071759446
+ .long 1226651784
+ .long 1071734489
+ .long 1102047405
+ .long 1071708731
+ .long 2009896384
+ .long 1071682115
+ .long 927419082
+ .long 1071654577
+ .long 85010366
+ .long 1071607413
+ .long 696431025
+ .long 1071548180
+ .long 2611410541
+ .long 1071486585
+ .long 2612593658
+ .long 1071422396
+ .long 3548155306
+ .long 1071355336
+ .long 3887997484
+ .long 1071285073
+ .long 244854763
+ .long 1071211202
+ .long 4214445648
+ .long 1071133216
+ .long 2303966727
+ .long 1071050478
+ .long 3991040013
+ .long 1070962152
+ .long 3126952278
+ .long 1070867118
+ .long 1817448378
+ .long 1070763804
+ .long 1793814864
+ .long 1070649884
+ .long 3507224072
+ .long 1070447193
+ .long 4027609105
+ .long 1070148772
+ .long 577507993
+ .long 1069779414
+ .long 2310232419
+ .long 1068931829
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 0
+ .long 0
+ .long 4294950912
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 2147483584
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .type static_const_table,@object
+ .size static_const_table,6096
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_atan2.S b/libm/x86/e_atan2.S
new file mode 100644
index 0000000..1efdf65
--- /dev/null
+++ b/libm/x86/e_atan2.S
@@ -0,0 +1,1221 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+//
+//1. The method is based on the relationship of atan2(Y,X) to atan(|Y/X|)
+// as follows.
+// / sign(Y) atan(|Y/X|) if X > 0
+// atan2(Y,X) =
+// \ sign(Y)*pi - sign(Y)*atan(|Y/X|) if X < 0
+//
+// Thus, atan2(Y,X) is of the form atan2(Y,X) = PI + sgn*atan(|Y/X|)
+// where PI and sgn can be determined by the four possible combinations of
+// of the pair (sign(X),sign(Y)). We concentrate on the numerical method
+// for atan(|Y/X|).
+//
+//2. For |Y/X| < 2^(-64), atan(|Y/X|) ~=~ |Y/X|. Hence, atan2(Y,X) is Y/X
+// if X > 0, and sign(Y)*pi otherwise.
+//3. For |Y/X| >= 2^(65), atan(|Y/X|) ~=~ pi/2. Hence atan2(Y,X) is sign(Y)pi/2.
+//4. For 2^(-64) <= |Y/X| < 2^(-5), atan(|Y/X|) is approximated by a polynomial
+// of the form Z + Z*E*polynomial(E), where Z = |Y/X| and E = Z*Z.
+//5. For |Y/X| > 2^(5), atan(|Y/X|) = pi/2 + atan(-|X/Y|), and atan(-|X/Y|) is
+// calculated using the polynomial in 4 above.
+//6. For 2^(-5) <= |Y/X| <= 2^(5), we employ a table lookup method. First,
+// we obtain B = 2^k * 1.b1 b2 b3 b4 = 2^k * (1+k/16) that approximate
+// |Y/X| to approximately 5 significant bits. Hence, atan(|Y/X|) is
+//
+// atan(|Y/X|) = atan(B) + atan(Z), where Z = (|Y|-B|X|)/(|X|+B|Y|).
+// ~=~ tau + Z + Z*E*polynomial(E), where E = Z*Z.
+//
+// B has the range from 2^(-6)*(1+14/16) to 2^5 = 2^(5)*(1+0/16), totally
+// 163 possible values. These values are calculated beforehand and stored
+// in a table. The polynomial is the one used in 4.
+//
+// Special cases:
+// atan2(+-0, +0) = +-0
+// atan2(+-0, -0) = +-pi
+// atan2(+-0, x) = +-0, for x > 0, and +-pi, for x < 0
+// atan2(y, +-0) = +pi/2 for y > 0, and -pi/2 for y < 0
+// atan2(+-y, +INF) = +-0, for finite y > 0
+// atan2(+-y, -INF) = +-pi, for finite y > 0
+// atan2(+-INF, x) = +-pi/2, for finite x
+// atan2(+-INF, +INF) = +-pi/4
+// atan2(+-INF, -INF) = +-3*pi/4
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin atan2
+ENTRY(atan2)
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 64(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 136(%esp), %xmm1
+ movsd 128(%esp), %xmm0
+ pextrw $3, %xmm0, %eax
+ movq %xmm0, 8(%esp)
+ andl $32752, %eax
+ movq %xmm1, 16(%esp)
+ subl $14448, %eax
+ cmpl $3840, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ subl $14448, %eax
+ cmpl $3840, %eax
+ ja .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ unpcklpd %xmm1, %xmm0
+ xorpd %xmm5, %xmm5
+ xorpd %xmm3, %xmm3
+ movl $2048, %eax
+ pinsrw $3, %eax, %xmm5
+ paddw %xmm1, %xmm5
+ psrlq $29, %xmm5
+ rcpss %xmm5, %xmm3
+ xorpd %xmm4, %xmm4
+ movl $14336, %ecx
+ pinsrw $3, %ecx, %xmm4
+ psllq $29, %xmm3
+ paddw %xmm4, %xmm3
+ mulsd %xmm0, %xmm3
+ xorpd %xmm2, %xmm2
+ xorpd %xmm6, %xmm6
+ xorpd %xmm7, %xmm7
+ movl $32768, %eax
+ pinsrw $2, %eax, %xmm6
+ movl $32767, %ecx
+ pinsrw $3, %ecx, %xmm7
+ paddd %xmm6, %xmm3
+ andpd %xmm7, %xmm3
+ movapd %xmm3, %xmm5
+ pextrw $3, %xmm3, %eax
+ movl $16448, %ecx
+ pinsrw $3, %ecx, %xmm2
+ minsd %xmm2, %xmm3
+ movmskpd %xmm0, %edx
+ psllq $1, %xmm0
+ psrlq $1, %xmm0
+ cmpsd $2, %xmm2, %xmm5
+ psllq $1, %xmm1
+ psrlq $1, %xmm1
+ movapd %xmm1, %xmm6
+ movapd %xmm1, %xmm7
+ movapd %xmm0, %xmm2
+ movl $0, %ecx
+ pinsrw $0, %ecx, %xmm6
+ subsd %xmm6, %xmm7
+ movapd %xmm0, %xmm4
+ mulsd %xmm3, %xmm6
+ mulsd %xmm3, %xmm4
+ mulsd %xmm3, %xmm7
+ andpd %xmm5, %xmm0
+ subsd %xmm6, %xmm0
+ andpd %xmm5, %xmm1
+ addsd %xmm1, %xmm4
+ subsd %xmm7, %xmm0
+ andl $32752, %eax
+ subl $16286, %eax
+ cmpl $1121, %eax
+ ja .L_2TAG_PACKET_3.0.2
+ divsd %xmm4, %xmm0
+ pextrw $3, %xmm3, %ecx
+ movsd 2944(%ebx), %xmm2
+ movsd 2960(%ebx), %xmm3
+ pextrw $0, %xmm5, %eax
+ addl %edx, %edx
+ movapd 2688(%ebx,%edx,8), %xmm6
+ movapd 2752(%ebx,%edx,8), %xmm1
+ subl $16286, %ecx
+ notl %eax
+ andl $1, %eax
+ addl %eax, %ecx
+ addl %ecx, %ecx
+ movapd (%ebx,%ecx,8), %xmm5
+ xorpd %xmm1, %xmm5
+ addpd %xmm6, %xmm5
+ movapd %xmm5, %xmm6
+ unpckhpd %xmm5, %xmm5
+ xorpd %xmm0, %xmm1
+ movapd %xmm1, %xmm4
+ mulsd %xmm0, %xmm0
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm3
+ addsd %xmm6, %xmm1
+ subsd %xmm1, %xmm6
+ addsd %xmm4, %xmm6
+ addsd 2952(%ebx), %xmm2
+ mulsd %xmm0, %xmm3
+ mulsd %xmm0, %xmm4
+ addsd %xmm5, %xmm6
+ mulsd %xmm4, %xmm2
+ addsd 2968(%ebx), %xmm3
+ mulsd %xmm3, %xmm2
+ addsd %xmm6, %xmm2
+ addsd %xmm2, %xmm1
+ movsd %xmm1, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_3.0.2:
+ addl $942, %eax
+ cmpl $942, %eax
+ ja .L_2TAG_PACKET_5.0.2
+ xorpd %xmm4, %xmm4
+ movl $16368, %ecx
+ pinsrw $3, %ecx, %xmm4
+ divsd %xmm1, %xmm4
+ addl %edx, %edx
+ movapd 2752(%ebx,%edx,8), %xmm6
+ unpcklpd %xmm3, %xmm3
+ xorpd %xmm6, %xmm0
+ xorpd %xmm6, %xmm2
+ xorpd %xmm6, %xmm3
+ movapd 2816(%ebx,%edx,8), %xmm7
+ movsd 2944(%ebx), %xmm1
+ movsd 2960(%ebx), %xmm5
+ andpd 2880(%ebx,%edx,8), %xmm3
+ mulsd %xmm4, %xmm2
+ mulsd %xmm4, %xmm0
+ movapd %xmm2, %xmm6
+ mulsd %xmm2, %xmm2
+ mulsd %xmm2, %xmm1
+ addsd %xmm2, %xmm5
+ mulsd %xmm2, %xmm6
+ addsd 2952(%ebx), %xmm1
+ mulsd %xmm2, %xmm5
+ addsd %xmm0, %xmm7
+ addpd %xmm3, %xmm7
+ mulsd %xmm6, %xmm1
+ addsd 2968(%ebx), %xmm5
+ mulsd %xmm1, %xmm5
+ addsd %xmm7, %xmm5
+ unpckhpd %xmm7, %xmm7
+ addsd %xmm7, %xmm5
+ movsd %xmm5, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ movsd 16(%esp), %xmm1
+ movsd 8(%esp), %xmm0
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl %eax, %ecx
+ jg .L_2TAG_PACKET_6.0.2
+ pextrw $3, %xmm1, %ecx
+ cmpl $32767, %ecx
+ jg .L_2TAG_PACKET_7.0.2
+ divsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_7.0.2:
+ andpd 2672(%ebx), %xmm0
+ movsd 2640(%ebx), %xmm2
+ xorpd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_6.0.2:
+ andpd 2672(%ebx), %xmm0
+ movsd 2624(%ebx), %xmm2
+ xorpd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_0.0.2:
+.L_2TAG_PACKET_1.0.2:
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_8.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_9.0.2
+ movsd 2992(%ebx), %xmm3
+ movl $1024, %edx
+ movsd 2976(%ebx), %xmm4
+ xorpd %xmm6, %xmm6
+ movsd 3008(%ebx), %xmm7
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_10.0.2
+.L_2TAG_PACKET_11.0.2:
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_12.0.2
+.L_2TAG_PACKET_13.0.2:
+ addl %ecx, %edx
+ subl %eax, %edx
+ cmpl $2048, %edx
+ ja .L_2TAG_PACKET_5.0.2
+ addl $15344, %edx
+ pinsrw $3, %edx, %xmm6
+ andpd %xmm4, %xmm0
+ andpd %xmm4, %xmm1
+ orpd %xmm6, %xmm0
+ orpd %xmm7, %xmm1
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_10.0.2:
+ subl $880, %edx
+ mulsd %xmm3, %xmm0
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_14.0.2
+ jmp .L_2TAG_PACKET_11.0.2
+.L_2TAG_PACKET_12.0.2:
+ addl $880, %edx
+ mulsd %xmm3, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_15.0.2
+ jmp .L_2TAG_PACKET_13.0.2
+.L_2TAG_PACKET_8.0.2:
+ movd %xmm0, %edx
+ movapd %xmm0, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $1048575, %ecx
+ orl %edx, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_16.0.2
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ cmpl $32752, %eax
+ jae .L_2TAG_PACKET_17.0.2
+ movapd 2624(%ebx), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+.L_2TAG_PACKET_18.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_16.0.2:
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_17.0.2:
+ movd %xmm1, %eax
+ movapd %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ movl $-2147483648, %edx
+ andl %ecx, %edx
+ andl $1048575, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_19.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_20.0.2
+ movapd 2656(%ebx), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_19.0.2:
+ movapd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_20.0.2:
+ movapd 2656(%ebx), %xmm5
+ movapd 2624(%ebx), %xmm6
+ addpd %xmm6, %xmm5
+ pshufd $238, %xmm5, %xmm6
+ addpd %xmm6, %xmm5
+ orpd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_9.0.2:
+ movd %xmm1, %eax
+ movapd %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ movl $-2147483648, %edx
+ andl %ecx, %edx
+ andl $1048575, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_19.0.2
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_21.0.2
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_21.0.2:
+ movapd 2640(%ebx), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_14.0.2:
+ pextrw $3, %xmm1, %edx
+ andl $32768, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_22.0.2
+ movapd 2640(%ebx), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ comisd %xmm0, %xmm1
+ orpd %xmm5, %xmm0
+ jne .L_2TAG_PACKET_23.0.2
+.L_2TAG_PACKET_24.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_23.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_22.0.2:
+ comisd %xmm0, %xmm1
+ jne .L_2TAG_PACKET_23.0.2
+ je .L_2TAG_PACKET_24.0.2
+.L_2TAG_PACKET_15.0.2:
+ movapd 2624(%ebx), %xmm5
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+.L_2TAG_PACKET_4.0.2:
+ movl 64(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(atan2)
+# -- End atan2
+
+# Start file scope ASM
+ALIAS_SYMBOL(atan2l, atan2);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 3390881280
+ .long 1067318733
+ .long 1411116779
+ .long 1018950063
+ .long 2985987840
+ .long 1067384211
+ .long 2088903695
+ .long 1018086027
+ .long 3148445184
+ .long 1067449685
+ .long 2044163806
+ .long 1017271335
+ .long 3667629184
+ .long 1067515494
+ .long 2353092775
+ .long 1019967309
+ .long 1546568832
+ .long 1067580954
+ .long 611991315
+ .long 1017602584
+ .long 3815996800
+ .long 1067646404
+ .long 466038598
+ .long 1019686426
+ .long 4050241920
+ .long 1067711845
+ .long 3265026328
+ .long 1019626952
+ .long 120454912
+ .long 1067777277
+ .long 1542207696
+ .long 1020155608
+ .long 2784639744
+ .long 1067842697
+ .long 3883834623
+ .long 1018602870
+ .long 1328010624
+ .long 1067908107
+ .long 1791097456
+ .long 1019053126
+ .long 2217794048
+ .long 1067973505
+ .long 551619938
+ .long 1018494194
+ .long 3333520000
+ .long 1068038891
+ .long 2390331823
+ .long 1019033022
+ .long 2557052032
+ .long 1068104265
+ .long 2423976108
+ .long 1019728674
+ .long 2067649536
+ .long 1068169626
+ .long 3757397745
+ .long 1018672362
+ .long 4047094784
+ .long 1068234973
+ .long 481613184
+ .long 1019275104
+ .long 2089853184
+ .long 1068300307
+ .long 1733914374
+ .long 1020124677
+ .long 2678003840
+ .long 1068365626
+ .long 1373600282
+ .long 1013935474
+ .long 3706496128
+ .long 1068430930
+ .long 1000610902
+ .long 1019673285
+ .long 3073179008
+ .long 1068496219
+ .long 1497143008
+ .long 1019900342
+ .long 2803716736
+ .long 1068562846
+ .long 1476677416
+ .long 1019444094
+ .long 3204984128
+ .long 1068628077
+ .long 1192335905
+ .long 1018748628
+ .long 831146624
+ .long 1068693273
+ .long 2733586224
+ .long 1018823295
+ .long 243029376
+ .long 1068758431
+ .long 950106081
+ .long 1019046675
+ .long 1735561920
+ .long 1068823549
+ .long 3546440856
+ .long 1020104712
+ .long 1339217792
+ .long 1068888626
+ .long 3028812387
+ .long 1019818321
+ .long 3706342144
+ .long 1068953659
+ .long 3814564029
+ .long 1017763871
+ .long 637726976
+ .long 1069018648
+ .long 3584007699
+ .long 1017976868
+ .long 1148779264
+ .long 1069083589
+ .long 2282532133
+ .long 1019483954
+ .long 1406131392
+ .long 1069148481
+ .long 1547359113
+ .long 1019786342
+ .long 1908875904
+ .long 1069213322
+ .long 1315508410
+ .long 1020009473
+ .long 3194947520
+ .long 1069278110
+ .long 3845393201
+ .long 1015803761
+ .long 1547487744
+ .long 1069342844
+ .long 3863107865
+ .long 1019810104
+ .long 1881061952
+ .long 1069407521
+ .long 4288343548
+ .long 1019687581
+ .long 563086336
+ .long 1069472140
+ .long 2582230241
+ .long 1020099350
+ .long 2594975552
+ .long 1069536698
+ .long 2306443764
+ .long 1019667244
+ .long 3438545024
+ .long 1069606573
+ .long 957455549
+ .long 1015587735
+ .long 4211357472
+ .long 1069670906
+ .long 2611778754
+ .long 1017877214
+ .long 3002835424
+ .long 1069735101
+ .long 235580458
+ .long 1020211685
+ .long 3905315424
+ .long 1069799150
+ .long 3630647617
+ .long 1018736849
+ .long 2849656576
+ .long 1069863047
+ .long 2412165062
+ .long 1019693004
+ .long 507429472
+ .long 1069926785
+ .long 1397750723
+ .long 1018412717
+ .long 2307470272
+ .long 1069990356
+ .long 1796470904
+ .long 1019796181
+ .long 1271814912
+ .long 1070053755
+ .long 189761565
+ .long 1016149115
+ .long 3800538144
+ .long 1070116974
+ .long 2524871582
+ .long 1018263353
+ .long 3916203552
+ .long 1070180008
+ .long 127848658
+ .long 1017672664
+ .long 457192032
+ .long 1070242851
+ .long 4020400938
+ .long 1019823010
+ .long 1385324704
+ .long 1070305495
+ .long 564511179
+ .long 1016079094
+ .long 2322869856
+ .long 1070367935
+ .long 2347103319
+ .long 1018927760
+ .long 3743438624
+ .long 1070430165
+ .long 877973862
+ .long 1019638162
+ .long 2392255552
+ .long 1070492180
+ .long 2432782267
+ .long 1018872629
+ .long 4180443328
+ .long 1070553973
+ .long 3102990015
+ .long 1020093101
+ .long 2547540832
+ .long 1070636485
+ .long 3877738253
+ .long 1017300424
+ .long 2735468912
+ .long 1070697461
+ .long 2446470256
+ .long 1019235378
+ .long 542633792
+ .long 1070757943
+ .long 583606328
+ .long 1018624131
+ .long 923265984
+ .long 1070817911
+ .long 1793926708
+ .long 1019714161
+ .long 918728448
+ .long 1070877348
+ .long 3726463586
+ .long 1019433296
+ .long 2572275008
+ .long 1070936237
+ .long 1845354238
+ .long 1019459238
+ .long 50974688
+ .long 1070994564
+ .long 983808064
+ .long 1016685418
+ .long 1105518320
+ .long 1071052313
+ .long 2357496692
+ .long 1015139882
+ .long 1264825328
+ .long 1071109472
+ .long 2244129354
+ .long 1019046344
+ .long 961157920
+ .long 1071166029
+ .long 3124185339
+ .long 1018541776
+ .long 1162701584
+ .long 1071221973
+ .long 1279780948
+ .long 1019268918
+ .long 3284935664
+ .long 1071277294
+ .long 2670033472
+ .long 1019833744
+ .long 497441888
+ .long 1071331985
+ .long 1032737410
+ .long 1019795212
+ .long 3377383904
+ .long 1071386036
+ .long 2356897182
+ .long 1020205553
+ .long 1126962000
+ .long 1071439443
+ .long 3723724586
+ .long 1015212418
+ .long 90291008
+ .long 1071492199
+ .long 4178672431
+ .long 1020186971
+ .long 190059536
+ .long 1071595741
+ .long 1763589807
+ .long 1019162163
+ .long 2497392840
+ .long 1071670654
+ .long 3036997041
+ .long 1020204325
+ .long 2616971944
+ .long 1071719773
+ .long 300151069
+ .long 1017041957
+ .long 2883518128
+ .long 1071767563
+ .long 2203981414
+ .long 1019190108
+ .long 1496354352
+ .long 1071814030
+ .long 332287966
+ .long 1016846435
+ .long 483276728
+ .long 1071859184
+ .long 653845024
+ .long 1018830914
+ .long 3097401072
+ .long 1071903039
+ .long 1514746408
+ .long 1019278972
+ .long 2737217248
+ .long 1071945615
+ .long 1358845067
+ .long 1017268275
+ .long 2072577560
+ .long 1071986933
+ .long 3041024735
+ .long 1019929672
+ .long 2266405656
+ .long 1072027017
+ .long 1271261130
+ .long 1012925070
+ .long 958652544
+ .long 1072065894
+ .long 2158017058
+ .long 1019955372
+ .long 3312993840
+ .long 1072103591
+ .long 765809169
+ .long 1019114443
+ .long 3177001304
+ .long 1072140139
+ .long 144180084
+ .long 1019822186
+ .long 3071642184
+ .long 1072175568
+ .long 4004602424
+ .long 1019420740
+ .long 4283953648
+ .long 1072209909
+ .long 1511950430
+ .long 1020176966
+ .long 1413754136
+ .long 1072243195
+ .long 856972295
+ .long 1015129638
+ .long 4073202944
+ .long 1072306725
+ .long 4068194804
+ .long 1019714860
+ .long 946117760
+ .long 1072366415
+ .long 694980733
+ .long 1020150135
+ .long 3980632032
+ .long 1072422512
+ .long 1313251280
+ .long 1019948709
+ .long 1468297112
+ .long 1072475260
+ .long 330111143
+ .long 1019809198
+ .long 3478063816
+ .long 1072524887
+ .long 2930067044
+ .long 1017784081
+ .long 1153979856
+ .long 1072571613
+ .long 2225786102
+ .long 1017634481
+ .long 2089828808
+ .long 1072615641
+ .long 474621367
+ .long 1017043414
+ .long 3531732632
+ .long 1072657163
+ .long 2276396220
+ .long 1018757240
+ .long 775214612
+ .long 1072694803
+ .long 3209744818
+ .long 1019963015
+ .long 662307284
+ .long 1072713319
+ .long 1381696763
+ .long 1019763781
+ .long 1192776652
+ .long 1072730830
+ .long 3017932994
+ .long 1015179769
+ .long 744202396
+ .long 1072747407
+ .long 2073854034
+ .long 1019512292
+ .long 8337908
+ .long 1072763115
+ .long 16004448
+ .long 1019599514
+ .long 3589868768
+ .long 1072778013
+ .long 1374369804
+ .long 1018019237
+ .long 121647320
+ .long 1072792159
+ .long 128481634
+ .long 1018115438
+ .long 2464923204
+ .long 1072805601
+ .long 1787331214
+ .long 1016798022
+ .long 4093304372
+ .long 1072830562
+ .long 3306868969
+ .long 1019384078
+ .long 1436891684
+ .long 1072853231
+ .long 676347266
+ .long 1017302183
+ .long 1104571840
+ .long 1072873890
+ .long 2870400285
+ .long 1019938149
+ .long 2037009832
+ .long 1072892781
+ .long 2956702105
+ .long 1016472908
+ .long 3139037960
+ .long 1072910111
+ .long 916057147
+ .long 1018364335
+ .long 1826698064
+ .long 1072926058
+ .long 2171961098
+ .long 1019669816
+ .long 1353941060
+ .long 1072940774
+ .long 1722928782
+ .long 1019926215
+ .long 1803191644
+ .long 1072954391
+ .long 1547878639
+ .long 1020259262
+ .long 1092591296
+ .long 1072967024
+ .long 3070107923
+ .long 1018320401
+ .long 2205372832
+ .long 1072978772
+ .long 787328196
+ .long 1014621351
+ .long 1291577100
+ .long 1072989723
+ .long 2964757301
+ .long 1020242528
+ .long 4234512804
+ .long 1072999952
+ .long 3136030038
+ .long 1017522144
+ .long 3248069132
+ .long 1073009528
+ .long 1506192355
+ .long 1018050472
+ .long 3932628500
+ .long 1073018509
+ .long 1045823554
+ .long 1019946655
+ .long 4195697848
+ .long 1073026948
+ .long 233443322
+ .long 1018917447
+ .long 2501811452
+ .long 1073034892
+ .long 901427976
+ .long 1017333852
+ .long 866379428
+ .long 1073049455
+ .long 2437443742
+ .long 1019678792
+ .long 1376865888
+ .long 1073062480
+ .long 3365790232
+ .long 1014547152
+ .long 3290094268
+ .long 1073074195
+ .long 3898947415
+ .long 1018683566
+ .long 354764884
+ .long 1073084787
+ .long 3854322404
+ .long 1019662058
+ .long 3332975496
+ .long 1073094406
+ .long 3171701655
+ .long 1017830922
+ .long 1141460088
+ .long 1073103181
+ .long 3946082701
+ .long 1020032019
+ .long 745761284
+ .long 1073111216
+ .long 1347210591
+ .long 1019106121
+ .long 1673304508
+ .long 1073118600
+ .long 1760606642
+ .long 1017324577
+ .long 983388240
+ .long 1073125409
+ .long 3740651204
+ .long 1019514104
+ .long 3895509100
+ .long 1073131706
+ .long 2409629983
+ .long 1020069322
+ .long 2128523668
+ .long 1073137548
+ .long 3045605368
+ .long 1018579174
+ .long 2075485692
+ .long 1073142981
+ .long 3720571789
+ .long 1017557436
+ .long 121855976
+ .long 1073148047
+ .long 2391744767
+ .long 1020160645
+ .long 4181733780
+ .long 1073152780
+ .long 995028816
+ .long 1019681295
+ .long 2887813280
+ .long 1073157214
+ .long 218733247
+ .long 1020003509
+ .long 2862180896
+ .long 1073161375
+ .long 2043806490
+ .long 1018602288
+ .long 3909375184
+ .long 1073168973
+ .long 1559903412
+ .long 1020103444
+ .long 3533966292
+ .long 1073175738
+ .long 734884149
+ .long 1018462962
+ .long 3815044608
+ .long 1073181799
+ .long 3630523428
+ .long 1017250093
+ .long 739639376
+ .long 1073187261
+ .long 4167476661
+ .long 1020008277
+ .long 1068309648
+ .long 1073192207
+ .long 2110061437
+ .long 1019295858
+ .long 2350566352
+ .long 1073196707
+ .long 582596516
+ .long 1018568821
+ .long 2529520024
+ .long 1073200819
+ .long 745552787
+ .long 1019053165
+ .long 1841667508
+ .long 1073204591
+ .long 3982568700
+ .long 1016503327
+ .long 2242261080
+ .long 1073208063
+ .long 3433582258
+ .long 1016196763
+ .long 715134328
+ .long 1073211270
+ .long 355901358
+ .long 1020087916
+ .long 2700735876
+ .long 1073214240
+ .long 3640957736
+ .long 1019780205
+ .long 141607580
+ .long 1073217000
+ .long 2488245051
+ .long 1020262395
+ .long 287934404
+ .long 1073219570
+ .long 2392691085
+ .long 1019883292
+ .long 2363373988
+ .long 1073221969
+ .long 4194561737
+ .long 1019237447
+ .long 3829340424
+ .long 1073224214
+ .long 429455526
+ .long 1019490975
+ .long 1988805928
+ .long 1073226320
+ .long 3029848706
+ .long 1018104889
+ .long 1647572320
+ .long 1073230161
+ .long 10289938
+ .long 1017394880
+ .long 3988000624
+ .long 1073233576
+ .long 1957559169
+ .long 1019434816
+ .long 4263843944
+ .long 1073236633
+ .long 204710264
+ .long 1019908761
+ .long 663197724
+ .long 1073239386
+ .long 1921757578
+ .long 1019778948
+ .long 3560800700
+ .long 1073241876
+ .long 3994348896
+ .long 1019230192
+ .long 2441785656
+ .long 1073244141
+ .long 871468611
+ .long 1014800505
+ .long 3277400272
+ .long 1073246209
+ .long 4092218139
+ .long 1020040842
+ .long 3951990120
+ .long 1073248105
+ .long 4276546478
+ .long 1019763677
+ .long 2737338540
+ .long 1073249850
+ .long 252776012
+ .long 1018794951
+ .long 1511361316
+ .long 1073251461
+ .long 3119653999
+ .long 1018514803
+ .long 3969162516
+ .long 1073252952
+ .long 1037069016
+ .long 1016792900
+ .long 413985240
+ .long 1073254338
+ .long 4110171432
+ .long 1020001345
+ .long 3681283576
+ .long 1073255627
+ .long 1463092818
+ .long 1020260354
+ .long 3146455488
+ .long 1073256831
+ .long 1031209123
+ .long 1016554799
+ .long 95214512
+ .long 1073257958
+ .long 1373808632
+ .long 1019493031
+ .long 4250240828
+ .long 1073259013
+ .long 3891047882
+ .long 1020108730
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 1072243195
+ .long 856972295
+ .long 1015129638
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 3221823995
+ .long 856972295
+ .long 3164710438
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 3164710438
+ .long 1413754136
+ .long 3221823995
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 2006262985
+ .long 1069310863
+ .long 2358449471
+ .long 3217342131
+ .long 3845454352
+ .long 1069952297
+ .long 2829679149
+ .long 1073771565
+ .long 4294967295
+ .long 2148532223
+ .long 0
+ .long 0
+ .long 0
+ .long 1130364928
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .type static_const_table,@object
+ .size static_const_table,3024
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_cosh.S b/libm/x86/e_cosh.S
new file mode 100644
index 0000000..ecea8f4
--- /dev/null
+++ b/libm/x86/e_cosh.S
@@ -0,0 +1,1349 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// cosh(x)=(exp(x)+exp(-x))/2
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7),
+// f=0.b1 b2 ... b7, k integer
+// 2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f]
+// Tp stores higher 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision
+//
+// e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14},
+// for |x| in [1/8,3*2^8)
+// e^{-|x|}=2^{-k-f}*2^{-r}
+//
+// e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp=
+// =2^k*Tp+2^k*Tp*P15+2^k*Dp
+// e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4)
+//
+// For |x| in [1/8, 3*2^7), cosh(x) is formed as
+// RN(2^k*Tp+2^{-k}*Tn)+2^k*Tp*P15+2^{-k}*Tn*P`15+2^{-k}*TnL+2^{-k}*Dn+2^k*Dp
+//
+// For |x| in [3*2^7, 3*2^8), (e^|x|)/2 is returned, and
+// the result is checked for overflow.
+//
+// For |x|<1/8, a Taylor polynomial expansion is used (degree 10)
+// (error bound for polynomial expansion is below 0.501 ulp)
+//
+// Special cases:
+// cosh(NaN) = quiet NaN, and raise invalid exception
+// cosh(INF) = that INF
+// cosh(0)=1
+// for finite argument, only cosh(0)=1 is exact
+// For IEEE double
+// cosh(x) overflows
+// for x > 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin cosh
+ENTRY(cosh)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ movsd 4240(%ebx), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd 4192(%ebx), %xmm1
+ movsd 4200(%ebx), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd 4096(%ebx), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ andl $32767, %ecx
+ subl $16320, %ecx
+ cmpl $200, %ecx
+ jae .L_2TAG_PACKET_0.0.2
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ movapd %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ xorpd %xmm5, %xmm5
+ subsd %xmm6, %xmm3
+ movapd 4112(%ebx), %xmm4
+ addsd %xmm1, %xmm2
+ movapd 4128(%ebx), %xmm6
+ subsd %xmm3, %xmm7
+ movl $32704, %edx
+ pinsrw $3, %edx, %xmm5
+ movapd 4144(%ebx), %xmm1
+ addsd %xmm7, %xmm2
+ movl $127, %edx
+ andl %eax, %edx
+ addl %edx, %edx
+ shrl $3, %eax
+ andl $65520, %eax
+ addl $16352, %eax
+ xorpd %xmm0, %xmm0
+ cmpl $184, %ecx
+ jae .L_2TAG_PACKET_1.0.2
+ pshufd $68, %xmm5, %xmm5
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ psubw %xmm0, %xmm5
+ mulpd (%ebx,%edx,8), %xmm0
+ mulpd 2048(%ebx,%edx,8), %xmm5
+ pshufd $68, %xmm2, %xmm3
+ movapd 4160(%ebx), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ mulpd %xmm3, %xmm3
+ mulpd %xmm2, %xmm4
+ mulpd %xmm2, %xmm6
+ mulpd 4176(%ebx), %xmm2
+ mulpd %xmm3, %xmm1
+ mulpd %xmm3, %xmm7
+ mulpd %xmm3, %xmm4
+ mulpd %xmm3, %xmm1
+ addpd %xmm7, %xmm6
+ movapd %xmm0, %xmm7
+ addpd %xmm1, %xmm4
+ shufpd $0, %xmm5, %xmm7
+ addpd %xmm5, %xmm0
+ mulpd %xmm7, %xmm2
+ addpd %xmm6, %xmm4
+ subsd %xmm0, %xmm7
+ mulpd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm5, %xmm7
+ addpd %xmm2, %xmm4
+ addsd %xmm6, %xmm7
+ pshufd $238, %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ addl $16320, %ecx
+ cmpl $16320, %ecx
+ ja .L_2TAG_PACKET_3.0.2
+ cmpl $15952, %ecx
+ jae .L_2TAG_PACKET_4.0.2
+ addsd %xmm2, %xmm6
+ movsd 4248(%ebx), %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_1.0.2:
+ subl $16352, %eax
+ movl %eax, %ecx
+ andl $32752, %eax
+ shrl $1, %eax
+ andl $65520, %eax
+ subl %eax, %ecx
+ addl $16352, %eax
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ mulpd (%ebx,%edx,8), %xmm0
+ pshufd $68, %xmm2, %xmm3
+ movsd 4160(%ebx), %xmm7
+ mulsd %xmm3, %xmm3
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd 4176(%ebx), %xmm2
+ mulsd %xmm3, %xmm1
+ mulsd %xmm3, %xmm7
+ mulsd %xmm3, %xmm4
+ addl $16368, %ecx
+ pinsrw $3, %ecx, %xmm5
+ mulsd %xmm3, %xmm1
+ addsd %xmm7, %xmm6
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ addsd %xmm6, %xmm4
+ mulsd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm6, %xmm4
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm5, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ movl $64, %edx
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_5.0.2
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_4.0.2:
+ movapd 4208(%ebx), %xmm1
+ mulpd %xmm5, %xmm5
+ movapd 4224(%ebx), %xmm2
+ xorpd %xmm3, %xmm3
+ movapd %xmm5, %xmm0
+ mulpd %xmm5, %xmm1
+ movsd 4248(%ebx), %xmm6
+ mulpd %xmm5, %xmm5
+ movl $16352, %eax
+ pinsrw $3, %eax, %xmm3
+ addpd %xmm2, %xmm1
+ mulpd %xmm5, %xmm1
+ pshufd $238, %xmm1, %xmm2
+ mulsd %xmm1, %xmm5
+ mulsd %xmm3, %xmm0
+ addsd %xmm5, %xmm2
+ addsd %xmm2, %xmm0
+ addsd %xmm6, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_3.0.2:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ xorpd %xmm0, %xmm0
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ mulsd %xmm0, %xmm0
+ movl $64, %edx
+.L_2TAG_PACKET_5.0.2:
+ movsd %xmm0, (%esp)
+ movsd 112(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_6.0.2:
+ mulsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_2.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_7.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(cosh)
+# -- End cosh
+
+# Start file scope ASM
+ALIAS_SYMBOL(coshl, cosh);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 2851812149
+ .long 1072698941
+ .long 2595802551
+ .long 1016815913
+ .long 1048019041
+ .long 1072704666
+ .long 1398474845
+ .long 3161559171
+ .long 3899555717
+ .long 1072710421
+ .long 427280750
+ .long 3163595548
+ .long 3541402996
+ .long 1072716208
+ .long 2759177317
+ .long 1015903202
+ .long 702412510
+ .long 1072722027
+ .long 3803266087
+ .long 3163328991
+ .long 410360776
+ .long 1072727877
+ .long 1269990655
+ .long 1013024446
+ .long 3402036099
+ .long 1072733758
+ .long 405889334
+ .long 1016154232
+ .long 1828292879
+ .long 1072739672
+ .long 1255956747
+ .long 1016636974
+ .long 728909815
+ .long 1072745618
+ .long 383930225
+ .long 1016078044
+ .long 852742562
+ .long 1072751596
+ .long 667253586
+ .long 1010842135
+ .long 2952712987
+ .long 1072757606
+ .long 3293494651
+ .long 3161168877
+ .long 3490863953
+ .long 1072763649
+ .long 960797498
+ .long 3163997456
+ .long 3228316108
+ .long 1072769725
+ .long 3010241991
+ .long 3159471380
+ .long 2930322912
+ .long 1072775834
+ .long 2599499422
+ .long 3163762623
+ .long 3366293073
+ .long 1072781976
+ .long 3119426314
+ .long 1015169130
+ .long 1014845819
+ .long 1072788152
+ .long 3117910646
+ .long 3162607681
+ .long 948735466
+ .long 1072794361
+ .long 3516338028
+ .long 3163623459
+ .long 3949972341
+ .long 1072800603
+ .long 2068408548
+ .long 1015962444
+ .long 2214878420
+ .long 1072806880
+ .long 892270087
+ .long 3164164998
+ .long 828946858
+ .long 1072813191
+ .long 10642492
+ .long 1016988014
+ .long 586995997
+ .long 1072819536
+ .long 41662348
+ .long 3163676568
+ .long 2288159958
+ .long 1072825915
+ .long 2169144469
+ .long 1015924597
+ .long 2440944790
+ .long 1072832329
+ .long 2492769774
+ .long 1015196030
+ .long 1853186616
+ .long 1072838778
+ .long 3066496371
+ .long 1016705150
+ .long 1337108031
+ .long 1072845262
+ .long 3203724452
+ .long 1015726421
+ .long 1709341917
+ .long 1072851781
+ .long 2571168217
+ .long 1015201075
+ .long 3790955393
+ .long 1072858335
+ .long 2352942462
+ .long 3164228666
+ .long 4112506593
+ .long 1072864925
+ .long 2947355221
+ .long 1015419624
+ .long 3504003472
+ .long 1072871551
+ .long 3594001060
+ .long 3158379228
+ .long 2799960843
+ .long 1072878213
+ .long 1423655381
+ .long 1016070727
+ .long 2839424854
+ .long 1072884911
+ .long 1171596163
+ .long 1014090255
+ .long 171030293
+ .long 1072891646
+ .long 3526460132
+ .long 1015477354
+ .long 4232894513
+ .long 1072898416
+ .long 2383938684
+ .long 1015717095
+ .long 2992903935
+ .long 1072905224
+ .long 2218154406
+ .long 1016276769
+ .long 1603444721
+ .long 1072912069
+ .long 1548633640
+ .long 3163249902
+ .long 926591435
+ .long 1072918951
+ .long 3208833762
+ .long 3163962090
+ .long 1829099622
+ .long 1072925870
+ .long 1016661181
+ .long 3164509581
+ .long 887463927
+ .long 1072932827
+ .long 3596744163
+ .long 3161842742
+ .long 3272845541
+ .long 1072939821
+ .long 928852419
+ .long 3164536824
+ .long 1276261410
+ .long 1072946854
+ .long 300981948
+ .long 1015732745
+ .long 78413852
+ .long 1072953925
+ .long 4183226867
+ .long 3164065827
+ .long 569847338
+ .long 1072961034
+ .long 472945272
+ .long 3160339305
+ .long 3645941911
+ .long 1072968181
+ .long 3814685081
+ .long 3162621917
+ .long 1617004845
+ .long 1072975368
+ .long 82804944
+ .long 1011391354
+ .long 3978100823
+ .long 1072982593
+ .long 3513027190
+ .long 1016894539
+ .long 3049340112
+ .long 1072989858
+ .long 3062915824
+ .long 1014219171
+ .long 4040676318
+ .long 1072997162
+ .long 4090609238
+ .long 1016712034
+ .long 3577096743
+ .long 1073004506
+ .long 2951496418
+ .long 1014842263
+ .long 2583551245
+ .long 1073011890
+ .long 3161094195
+ .long 1016655067
+ .long 1990012071
+ .long 1073019314
+ .long 3529070563
+ .long 3163861769
+ .long 2731501122
+ .long 1073026778
+ .long 1774031855
+ .long 3163518597
+ .long 1453150082
+ .long 1073034283
+ .long 498154669
+ .long 3162536638
+ .long 3395129871
+ .long 1073041828
+ .long 4025345435
+ .long 3163383964
+ .long 917841882
+ .long 1073049415
+ .long 18715565
+ .long 1016707884
+ .long 3566716925
+ .long 1073057042
+ .long 1536826856
+ .long 1015191009
+ .long 3712504873
+ .long 1073064711
+ .long 88491949
+ .long 1016476236
+ .long 2321106615
+ .long 1073072422
+ .long 2171176610
+ .long 1010584347
+ .long 363667784
+ .long 1073080175
+ .long 813753950
+ .long 1016833785
+ .long 3111574537
+ .long 1073087969
+ .long 2606161479
+ .long 3163808322
+ .long 2956612997
+ .long 1073095806
+ .long 2118169751
+ .long 3163784129
+ .long 885834528
+ .long 1073103686
+ .long 1973258547
+ .long 3163310140
+ .long 2186617381
+ .long 1073111608
+ .long 2270764084
+ .long 3164321289
+ .long 3561793907
+ .long 1073119573
+ .long 1157054053
+ .long 1012938926
+ .long 1719614413
+ .long 1073127582
+ .long 330458198
+ .long 3164331316
+ .long 1963711167
+ .long 1073135634
+ .long 1744767757
+ .long 3161622870
+ .long 1013258799
+ .long 1073143730
+ .long 1748797611
+ .long 3161177658
+ .long 4182873220
+ .long 1073151869
+ .long 629542646
+ .long 3163044879
+ .long 3907805044
+ .long 1073160053
+ .long 2257091225
+ .long 3162598983
+ .long 1218806132
+ .long 1073168282
+ .long 1818613052
+ .long 3163597017
+ .long 1447192521
+ .long 1073176555
+ .long 1462857171
+ .long 3163563097
+ .long 1339972927
+ .long 1073184873
+ .long 167908909
+ .long 1016620728
+ .long 1944781191
+ .long 1073193236
+ .long 3993278767
+ .long 3162772855
+ .long 19972402
+ .long 1073201645
+ .long 3507899862
+ .long 1017057868
+ .long 919555682
+ .long 1073210099
+ .long 3121969534
+ .long 1013996802
+ .long 1413356050
+ .long 1073218599
+ .long 1651349291
+ .long 3163716742
+ .long 2571947539
+ .long 1073227145
+ .long 3558159064
+ .long 3164425245
+ .long 1176749997
+ .long 1073235738
+ .long 2738998779
+ .long 3163084420
+ .long 2604962541
+ .long 1073244377
+ .long 2614425274
+ .long 3164587768
+ .long 3649726105
+ .long 1073253063
+ .long 4085036346
+ .long 1016698050
+ .long 1110089947
+ .long 1073261797
+ .long 1451641639
+ .long 1016523249
+ .long 380978316
+ .long 1073270578
+ .long 854188970
+ .long 3161511262
+ .long 2568320822
+ .long 1073279406
+ .long 2732824428
+ .long 1015401491
+ .long 194117574
+ .long 1073288283
+ .long 777528612
+ .long 3164460665
+ .long 2966275557
+ .long 1073297207
+ .long 2176155324
+ .long 3160891335
+ .long 3418903055
+ .long 1073306180
+ .long 2527457337
+ .long 3161869180
+ .long 2682146384
+ .long 1073315202
+ .long 2082178513
+ .long 3164411995
+ .long 1892288442
+ .long 1073324273
+ .long 2446255666
+ .long 3163648957
+ .long 2191782032
+ .long 1073333393
+ .long 2960257726
+ .long 1014791238
+ .long 434316067
+ .long 1073342563
+ .long 2028358766
+ .long 1014506698
+ .long 2069751141
+ .long 1073351782
+ .long 1562170675
+ .long 3163773257
+ .long 3964284211
+ .long 1073361051
+ .long 2111583915
+ .long 1016475740
+ .long 2990417245
+ .long 1073370371
+ .long 3683467745
+ .long 3164417902
+ .long 321958744
+ .long 1073379742
+ .long 3401933767
+ .long 1016843134
+ .long 1434058175
+ .long 1073389163
+ .long 251133233
+ .long 1016134345
+ .long 3218338682
+ .long 1073398635
+ .long 3404164304
+ .long 3163525684
+ .long 2572866477
+ .long 1073408159
+ .long 878562433
+ .long 1016570317
+ .long 697153126
+ .long 1073417735
+ .long 1283515429
+ .long 3164331765
+ .long 3092190715
+ .long 1073427362
+ .long 814012168
+ .long 3160571998
+ .long 2380618042
+ .long 1073437042
+ .long 3149557219
+ .long 3164369375
+ .long 4076559943
+ .long 1073446774
+ .long 2119478331
+ .long 3161806927
+ .long 815859274
+ .long 1073456560
+ .long 240396590
+ .long 3164536019
+ .long 2420883922
+ .long 1073466398
+ .long 2049810052
+ .long 1015168464
+ .long 1540824585
+ .long 1073476290
+ .long 1064017011
+ .long 3164536266
+ .long 3716502172
+ .long 1073486235
+ .long 2303740125
+ .long 1015091301
+ .long 1610600570
+ .long 1073496235
+ .long 3766732298
+ .long 1016808759
+ .long 777507147
+ .long 1073506289
+ .long 4282924205
+ .long 1016236109
+ .long 2483480501
+ .long 1073516397
+ .long 1216371780
+ .long 1014082748
+ .long 3706687593
+ .long 1073526560
+ .long 3521726940
+ .long 1014301643
+ .long 1432208378
+ .long 1073536779
+ .long 1401068914
+ .long 3163412539
+ .long 1242007932
+ .long 1073547053
+ .long 1132034716
+ .long 3164388407
+ .long 135105010
+ .long 1073557383
+ .long 1906148728
+ .long 3164424315
+ .long 3707479175
+ .long 1073567768
+ .long 3613079303
+ .long 1015213314
+ .long 382305176
+ .long 1073578211
+ .long 2347622376
+ .long 3163627201
+ .long 64696965
+ .long 1073588710
+ .long 1768797490
+ .long 1016865536
+ .long 4076975200
+ .long 1073599265
+ .long 2029000899
+ .long 1016257111
+ .long 863738719
+ .long 1073609879
+ .long 1326992220
+ .long 3163661773
+ .long 351641897
+ .long 1073620550
+ .long 2172261526
+ .long 3164059175
+ .long 3884662774
+ .long 1073631278
+ .long 2158611599
+ .long 1015258761
+ .long 4224142467
+ .long 1073642065
+ .long 3389820386
+ .long 1016255778
+ .long 2728693978
+ .long 1073652911
+ .long 396109971
+ .long 3164511267
+ .long 764307441
+ .long 1073663816
+ .long 3021057420
+ .long 3164378099
+ .long 3999357479
+ .long 1073674779
+ .long 2258941616
+ .long 1016973300
+ .long 929806999
+ .long 1073685803
+ .long 3205336643
+ .long 1016308133
+ .long 1533953344
+ .long 1073696886
+ .long 769171851
+ .long 1016714209
+ .long 2912730644
+ .long 1073708029
+ .long 3490067722
+ .long 3164453650
+ .long 2174652632
+ .long 1073719233
+ .long 4087714590
+ .long 1015498835
+ .long 730821105
+ .long 1073730498
+ .long 2523232743
+ .long 1013115764
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 730821105
+ .long 1072681922
+ .long 2523232743
+ .long 1012067188
+ .long 2174652632
+ .long 1072670657
+ .long 4087714590
+ .long 1014450259
+ .long 2912730644
+ .long 1072659453
+ .long 3490067722
+ .long 3163405074
+ .long 1533953344
+ .long 1072648310
+ .long 769171851
+ .long 1015665633
+ .long 929806999
+ .long 1072637227
+ .long 3205336643
+ .long 1015259557
+ .long 3999357479
+ .long 1072626203
+ .long 2258941616
+ .long 1015924724
+ .long 764307441
+ .long 1072615240
+ .long 3021057420
+ .long 3163329523
+ .long 2728693978
+ .long 1072604335
+ .long 396109971
+ .long 3163462691
+ .long 4224142467
+ .long 1072593489
+ .long 3389820386
+ .long 1015207202
+ .long 3884662774
+ .long 1072582702
+ .long 2158611599
+ .long 1014210185
+ .long 351641897
+ .long 1072571974
+ .long 2172261526
+ .long 3163010599
+ .long 863738719
+ .long 1072561303
+ .long 1326992220
+ .long 3162613197
+ .long 4076975200
+ .long 1072550689
+ .long 2029000899
+ .long 1015208535
+ .long 64696965
+ .long 1072540134
+ .long 1768797490
+ .long 1015816960
+ .long 382305176
+ .long 1072529635
+ .long 2347622376
+ .long 3162578625
+ .long 3707479175
+ .long 1072519192
+ .long 3613079303
+ .long 1014164738
+ .long 135105010
+ .long 1072508807
+ .long 1906148728
+ .long 3163375739
+ .long 1242007932
+ .long 1072498477
+ .long 1132034716
+ .long 3163339831
+ .long 1432208378
+ .long 1072488203
+ .long 1401068914
+ .long 3162363963
+ .long 3706687593
+ .long 1072477984
+ .long 3521726940
+ .long 1013253067
+ .long 2483480501
+ .long 1072467821
+ .long 1216371780
+ .long 1013034172
+ .long 777507147
+ .long 1072457713
+ .long 4282924205
+ .long 1015187533
+ .long 1610600570
+ .long 1072447659
+ .long 3766732298
+ .long 1015760183
+ .long 3716502172
+ .long 1072437659
+ .long 2303740125
+ .long 1014042725
+ .long 1540824585
+ .long 1072427714
+ .long 1064017011
+ .long 3163487690
+ .long 2420883922
+ .long 1072417822
+ .long 2049810052
+ .long 1014119888
+ .long 815859274
+ .long 1072407984
+ .long 240396590
+ .long 3163487443
+ .long 4076559943
+ .long 1072398198
+ .long 2119478331
+ .long 3160758351
+ .long 2380618042
+ .long 1072388466
+ .long 3149557219
+ .long 3163320799
+ .long 3092190715
+ .long 1072378786
+ .long 814012168
+ .long 3159523422
+ .long 697153126
+ .long 1072369159
+ .long 1283515429
+ .long 3163283189
+ .long 2572866477
+ .long 1072359583
+ .long 878562433
+ .long 1015521741
+ .long 3218338682
+ .long 1072350059
+ .long 3404164304
+ .long 3162477108
+ .long 1434058175
+ .long 1072340587
+ .long 251133233
+ .long 1015085769
+ .long 321958744
+ .long 1072331166
+ .long 3401933767
+ .long 1015794558
+ .long 2990417245
+ .long 1072321795
+ .long 3683467745
+ .long 3163369326
+ .long 3964284211
+ .long 1072312475
+ .long 2111583915
+ .long 1015427164
+ .long 2069751141
+ .long 1072303206
+ .long 1562170675
+ .long 3162724681
+ .long 434316067
+ .long 1072293987
+ .long 2028358766
+ .long 1013458122
+ .long 2191782032
+ .long 1072284817
+ .long 2960257726
+ .long 1013742662
+ .long 1892288442
+ .long 1072275697
+ .long 2446255666
+ .long 3162600381
+ .long 2682146384
+ .long 1072266626
+ .long 2082178513
+ .long 3163363419
+ .long 3418903055
+ .long 1072257604
+ .long 2527457337
+ .long 3160820604
+ .long 2966275557
+ .long 1072248631
+ .long 2176155324
+ .long 3159842759
+ .long 194117574
+ .long 1072239707
+ .long 777528612
+ .long 3163412089
+ .long 2568320822
+ .long 1072230830
+ .long 2732824428
+ .long 1014352915
+ .long 380978316
+ .long 1072222002
+ .long 854188970
+ .long 3160462686
+ .long 1110089947
+ .long 1072213221
+ .long 1451641639
+ .long 1015474673
+ .long 3649726105
+ .long 1072204487
+ .long 4085036346
+ .long 1015649474
+ .long 2604962541
+ .long 1072195801
+ .long 2614425274
+ .long 3163539192
+ .long 1176749997
+ .long 1072187162
+ .long 2738998779
+ .long 3162035844
+ .long 2571947539
+ .long 1072178569
+ .long 3558159064
+ .long 3163376669
+ .long 1413356050
+ .long 1072170023
+ .long 1651349291
+ .long 3162668166
+ .long 919555682
+ .long 1072161523
+ .long 3121969534
+ .long 1012948226
+ .long 19972402
+ .long 1072153069
+ .long 3507899862
+ .long 1016009292
+ .long 1944781191
+ .long 1072144660
+ .long 3993278767
+ .long 3161724279
+ .long 1339972927
+ .long 1072136297
+ .long 167908909
+ .long 1015572152
+ .long 1447192521
+ .long 1072127979
+ .long 1462857171
+ .long 3162514521
+ .long 1218806132
+ .long 1072119706
+ .long 1818613052
+ .long 3162548441
+ .long 3907805044
+ .long 1072111477
+ .long 2257091225
+ .long 3161550407
+ .long 4182873220
+ .long 1072103293
+ .long 629542646
+ .long 3161996303
+ .long 1013258799
+ .long 1072095154
+ .long 1748797611
+ .long 3160129082
+ .long 1963711167
+ .long 1072087058
+ .long 1744767757
+ .long 3160574294
+ .long 1719614413
+ .long 1072079006
+ .long 330458198
+ .long 3163282740
+ .long 3561793907
+ .long 1072070997
+ .long 1157054053
+ .long 1011890350
+ .long 2186617381
+ .long 1072063032
+ .long 2270764084
+ .long 3163272713
+ .long 885834528
+ .long 1072055110
+ .long 1973258547
+ .long 3162261564
+ .long 2956612997
+ .long 1072047230
+ .long 2118169751
+ .long 3162735553
+ .long 3111574537
+ .long 1072039393
+ .long 2606161479
+ .long 3162759746
+ .long 363667784
+ .long 1072031599
+ .long 813753950
+ .long 1015785209
+ .long 2321106615
+ .long 1072023846
+ .long 2171176610
+ .long 1009535771
+ .long 3712504873
+ .long 1072016135
+ .long 88491949
+ .long 1015427660
+ .long 3566716925
+ .long 1072008466
+ .long 1536826856
+ .long 1014142433
+ .long 917841882
+ .long 1072000839
+ .long 18715565
+ .long 1015659308
+ .long 3395129871
+ .long 1071993252
+ .long 4025345435
+ .long 3162335388
+ .long 1453150082
+ .long 1071985707
+ .long 498154669
+ .long 3161488062
+ .long 2731501122
+ .long 1071978202
+ .long 1774031855
+ .long 3162470021
+ .long 1990012071
+ .long 1071970738
+ .long 3529070563
+ .long 3162813193
+ .long 2583551245
+ .long 1071963314
+ .long 3161094195
+ .long 1015606491
+ .long 3577096743
+ .long 1071955930
+ .long 2951496418
+ .long 1013793687
+ .long 4040676318
+ .long 1071948586
+ .long 4090609238
+ .long 1015663458
+ .long 3049340112
+ .long 1071941282
+ .long 3062915824
+ .long 1013170595
+ .long 3978100823
+ .long 1071934017
+ .long 3513027190
+ .long 1015845963
+ .long 1617004845
+ .long 1071926792
+ .long 82804944
+ .long 1010342778
+ .long 3645941911
+ .long 1071919605
+ .long 3814685081
+ .long 3161573341
+ .long 569847338
+ .long 1071912458
+ .long 472945272
+ .long 3159290729
+ .long 78413852
+ .long 1071905349
+ .long 4183226867
+ .long 3163017251
+ .long 1276261410
+ .long 1071898278
+ .long 300981948
+ .long 1014684169
+ .long 3272845541
+ .long 1071891245
+ .long 928852419
+ .long 3163488248
+ .long 887463927
+ .long 1071884251
+ .long 3596744163
+ .long 3160794166
+ .long 1829099622
+ .long 1071877294
+ .long 1016661181
+ .long 3163461005
+ .long 926591435
+ .long 1071870375
+ .long 3208833762
+ .long 3162913514
+ .long 1603444721
+ .long 1071863493
+ .long 1548633640
+ .long 3162201326
+ .long 2992903935
+ .long 1071856648
+ .long 2218154406
+ .long 1015228193
+ .long 4232894513
+ .long 1071849840
+ .long 2383938684
+ .long 1014668519
+ .long 171030293
+ .long 1071843070
+ .long 3526460132
+ .long 1014428778
+ .long 2839424854
+ .long 1071836335
+ .long 1171596163
+ .long 1013041679
+ .long 2799960843
+ .long 1071829637
+ .long 1423655381
+ .long 1015022151
+ .long 3504003472
+ .long 1071822975
+ .long 3594001060
+ .long 3157330652
+ .long 4112506593
+ .long 1071816349
+ .long 2947355221
+ .long 1014371048
+ .long 3790955393
+ .long 1071809759
+ .long 2352942462
+ .long 3163180090
+ .long 1709341917
+ .long 1071803205
+ .long 2571168217
+ .long 1014152499
+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .long 3607404736
+ .long 1044146952
+ .long 3607404736
+ .long 3191630600
+ .long 4277811695
+ .long 1063661122
+ .long 4277811695
+ .long 3211144770
+ .long 2140175755
+ .long 1033864261
+ .long 2140175755
+ .long 1033864261
+ .long 4289495988
+ .long 1054113747
+ .long 4289495988
+ .long 1054113747
+ .long 4277811695
+ .long 1064709698
+ .long 4277811695
+ .long 3212193346
+ .long 1610612736
+ .long 1080497479
+ .long 4166901572
+ .long 1053077003
+ .long 3078135644
+ .long 1049787983
+ .long 381774870
+ .long 1062650220
+ .long 436314137
+ .long 1056571808
+ .long 1431655765
+ .long 1067799893
+ .long 4160749568
+ .long 2147483647
+ .long 0
+ .long 1072693248
+ .type static_const_table,@object
+ .size static_const_table,4256
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_exp.S b/libm/x86/e_exp.S
new file mode 100644
index 0000000..eab619d
--- /dev/null
+++ b/libm/x86/e_exp.S
@@ -0,0 +1,576 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Description:
+// Let K = 64 (table size).
+// x x/log(2) n
+// e = 2 = 2 * T[j] * (1 + P(y))
+// where
+// x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K]
+// m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
+// j/K
+// values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]).
+//
+// P(y) is a minimax polynomial approximation of exp(x)-1
+// on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V).
+//
+// To avoid problems with arithmetic overflow and underflow,
+// n n1 n2
+// value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2]
+// where BIAS is a value of exponent bias.
+//
+// Special cases:
+// exp(NaN) = NaN
+// exp(+INF) = +INF
+// exp(-INF) = 0
+// exp(x) = 1 for subnormals
+// for finite argument, only exp(0)=1 is exact
+// For IEEE double
+// if x > 709.782712893383973096 then exp(x) overflow
+// if x < -745.133219101941108420 then exp(x) underflow
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin exp
+ENTRY(exp)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 64(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ unpcklpd %xmm0, %xmm0
+ movapd 64(%ebx), %xmm1
+ movapd 48(%ebx), %xmm6
+ movapd 80(%ebx), %xmm2
+ movapd 96(%ebx), %xmm3
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ movl $16527, %edx
+ subl %eax, %edx
+ subl $15504, %eax
+ orl %eax, %edx
+ cmpl $-2147483648, %edx
+ jae .L_2TAG_PACKET_0.0.2
+ mulpd %xmm0, %xmm1
+ addpd %xmm6, %xmm1
+ movapd %xmm1, %xmm7
+ subpd %xmm6, %xmm1
+ mulpd %xmm1, %xmm2
+ movapd 128(%ebx), %xmm4
+ mulpd %xmm1, %xmm3
+ movapd 144(%ebx), %xmm5
+ subpd %xmm2, %xmm0
+ movd %xmm7, %eax
+ movl %eax, %ecx
+ andl $63, %ecx
+ shll $4, %ecx
+ sarl $6, %eax
+ movl %eax, %edx
+ movdqa 16(%ebx), %xmm6
+ pand %xmm6, %xmm7
+ movdqa 32(%ebx), %xmm6
+ paddq %xmm6, %xmm7
+ psllq $46, %xmm7
+ subpd %xmm3, %xmm0
+ movapd 160(%ebx,%ecx), %xmm2
+ mulpd %xmm0, %xmm4
+ movapd %xmm0, %xmm6
+ movapd %xmm0, %xmm1
+ mulpd %xmm6, %xmm6
+ mulpd %xmm6, %xmm0
+ addpd %xmm4, %xmm5
+ mulsd %xmm6, %xmm0
+ mulpd 112(%ebx), %xmm6
+ addsd %xmm2, %xmm1
+ unpckhpd %xmm2, %xmm2
+ mulpd %xmm5, %xmm0
+ addsd %xmm0, %xmm1
+ orpd %xmm7, %xmm2
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ addsd %xmm6, %xmm0
+ addl $894, %edx
+ cmpl $1916, %edx
+ ja .L_2TAG_PACKET_1.0.2
+ mulsd %xmm2, %xmm0
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_1.0.2:
+ fstcw 24(%esp)
+ movzwl 24(%esp), %edx
+ orl $768, %edx
+ movw %dx, 28(%esp)
+ fldcw 28(%esp)
+ movl %eax, %edx
+ sarl $1, %eax
+ subl %eax, %edx
+ movdqa (%ebx), %xmm6
+ pandn %xmm2, %xmm6
+ addl $1023, %eax
+ movd %eax, %xmm3
+ psllq $52, %xmm3
+ orpd %xmm3, %xmm6
+ addl $1023, %edx
+ movd %edx, %xmm4
+ psllq $52, %xmm4
+ movsd %xmm0, 8(%esp)
+ fldl 8(%esp)
+ movsd %xmm6, 16(%esp)
+ fldl 16(%esp)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ movsd %xmm4, 8(%esp)
+ fldl 8(%esp)
+ fmulp %st, %st(1)
+ fstpl 8(%esp)
+ movsd 8(%esp), %xmm0
+ fldcw 24(%esp)
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_3.0.2
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_4.0.2
+ jmp .L_2TAG_PACKET_2.0.2
+ cmpl $-2147483648, %ecx
+ jb .L_2TAG_PACKET_3.0.2
+ cmpl $-1064950997, %ecx
+ jb .L_2TAG_PACKET_2.0.2
+ ja .L_2TAG_PACKET_4.0.2
+ movl 128(%esp), %edx
+ cmpl $-17155601, %edx
+ jb .L_2TAG_PACKET_2.0.2
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_3.0.2:
+ movl $14, %edx
+ jmp .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_4.0.2:
+ movl $15, %edx
+.L_2TAG_PACKET_5.0.2:
+ movsd %xmm0, (%esp)
+ movsd 128(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_7.0.2:
+ cmpl $2146435072, %eax
+ jae .L_2TAG_PACKET_8.0.2
+ movl 132(%esp), %eax
+ cmpl $-2147483648, %eax
+ jae .L_2TAG_PACKET_9.0.2
+ movsd 1208(%ebx), %xmm0
+ mulsd %xmm0, %xmm0
+ movl $14, %edx
+ jmp .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_9.0.2:
+ movsd 1216(%ebx), %xmm0
+ mulsd %xmm0, %xmm0
+ movl $15, %edx
+ jmp .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_8.0.2:
+ movl 128(%esp), %edx
+ cmpl $2146435072, %eax
+ ja .L_2TAG_PACKET_10.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_10.0.2
+ movl 132(%esp), %eax
+ cmpl $2146435072, %eax
+ jne .L_2TAG_PACKET_11.0.2
+ movsd 1192(%ebx), %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_11.0.2:
+ movsd 1200(%ebx), %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_10.0.2:
+ movsd 128(%esp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ movl 132(%esp), %eax
+ andl $2147483647, %eax
+ cmpl $1083179008, %eax
+ jae .L_2TAG_PACKET_7.0.2
+ movsd 128(%esp), %xmm0
+ addsd 1184(%ebx), %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_2.0.2:
+ movsd %xmm0, 48(%esp)
+ fldl 48(%esp)
+.L_2TAG_PACKET_6.0.2:
+ movl 64(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(exp)
+# -- End exp
+
+# Start file scope ASM
+ALIAS_SYMBOL(expl, exp);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 4293918720
+ .long 0
+ .long 4293918720
+ .long 4294967232
+ .long 0
+ .long 4294967232
+ .long 0
+ .long 65472
+ .long 0
+ .long 65472
+ .long 0
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 1697350398
+ .long 1079448903
+ .long 1697350398
+ .long 1079448903
+ .long 4277796864
+ .long 1065758274
+ .long 4277796864
+ .long 1065758274
+ .long 3164486458
+ .long 1025308570
+ .long 3164486458
+ .long 1025308570
+ .long 4294967294
+ .long 1071644671
+ .long 4294967294
+ .long 1071644671
+ .long 3811088480
+ .long 1062650204
+ .long 1432067621
+ .long 1067799893
+ .long 3230715663
+ .long 1065423125
+ .long 1431604129
+ .long 1069897045
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 235107661
+ .long 1018002367
+ .long 1048019040
+ .long 11418
+ .long 896005651
+ .long 1015861842
+ .long 3541402996
+ .long 22960
+ .long 1642514529
+ .long 1012987726
+ .long 410360776
+ .long 34629
+ .long 1568897900
+ .long 1016568486
+ .long 1828292879
+ .long 46424
+ .long 1882168529
+ .long 1010744893
+ .long 852742562
+ .long 58348
+ .long 509852888
+ .long 1017336174
+ .long 3490863952
+ .long 70401
+ .long 653277307
+ .long 1017431380
+ .long 2930322911
+ .long 82586
+ .long 1649557430
+ .long 1017729363
+ .long 1014845818
+ .long 94904
+ .long 1058231231
+ .long 1015777676
+ .long 3949972341
+ .long 107355
+ .long 1044000607
+ .long 1016786167
+ .long 828946858
+ .long 119943
+ .long 1151779725
+ .long 1015705409
+ .long 2288159958
+ .long 132667
+ .long 3819481236
+ .long 1016499965
+ .long 1853186616
+ .long 145530
+ .long 2552227826
+ .long 1015039787
+ .long 1709341917
+ .long 158533
+ .long 1829350193
+ .long 1015216097
+ .long 4112506593
+ .long 171677
+ .long 1913391795
+ .long 1015756674
+ .long 2799960843
+ .long 184965
+ .long 1303423926
+ .long 1015238005
+ .long 171030293
+ .long 198398
+ .long 1574172746
+ .long 1016061241
+ .long 2992903935
+ .long 211976
+ .long 3424156969
+ .long 1017196428
+ .long 926591434
+ .long 225703
+ .long 1938513547
+ .long 1017631273
+ .long 887463926
+ .long 239579
+ .long 2804567149
+ .long 1015390024
+ .long 1276261410
+ .long 253606
+ .long 631083525
+ .long 1017690182
+ .long 569847337
+ .long 267786
+ .long 1623370770
+ .long 1011049453
+ .long 1617004845
+ .long 282120
+ .long 3667985273
+ .long 1013894369
+ .long 3049340112
+ .long 296610
+ .long 3145379760
+ .long 1014403278
+ .long 3577096743
+ .long 311258
+ .long 2603100681
+ .long 1017152460
+ .long 1990012070
+ .long 326066
+ .long 3249202951
+ .long 1017448880
+ .long 1453150081
+ .long 341035
+ .long 419288974
+ .long 1016280325
+ .long 917841882
+ .long 356167
+ .long 3793507337
+ .long 1016095713
+ .long 3712504873
+ .long 371463
+ .long 728023093
+ .long 1016345318
+ .long 363667784
+ .long 386927
+ .long 2582678538
+ .long 1017123460
+ .long 2956612996
+ .long 402558
+ .long 7592966
+ .long 1016721543
+ .long 2186617380
+ .long 418360
+ .long 228611441
+ .long 1016696141
+ .long 1719614412
+ .long 434334
+ .long 2261665670
+ .long 1017457593
+ .long 1013258798
+ .long 450482
+ .long 544148907
+ .long 1017323666
+ .long 3907805043
+ .long 466805
+ .long 2383914918
+ .long 1017143586
+ .long 1447192520
+ .long 483307
+ .long 1176412038
+ .long 1017267372
+ .long 1944781190
+ .long 499988
+ .long 2882956373
+ .long 1013312481
+ .long 919555682
+ .long 516851
+ .long 3154077648
+ .long 1016528543
+ .long 2571947538
+ .long 533897
+ .long 348651999
+ .long 1016405780
+ .long 2604962540
+ .long 551129
+ .long 3253791412
+ .long 1015920431
+ .long 1110089947
+ .long 568549
+ .long 1509121860
+ .long 1014756995
+ .long 2568320822
+ .long 586158
+ .long 2617649212
+ .long 1017340090
+ .long 2966275556
+ .long 603959
+ .long 553214634
+ .long 1016457425
+ .long 2682146383
+ .long 621954
+ .long 730975783
+ .long 1014083580
+ .long 2191782032
+ .long 640145
+ .long 1486499517
+ .long 1016818996
+ .long 2069751140
+ .long 658534
+ .long 2595788928
+ .long 1016407932
+ .long 2990417244
+ .long 677123
+ .long 1853053619
+ .long 1015310724
+ .long 1434058175
+ .long 695915
+ .long 2462790535
+ .long 1015814775
+ .long 2572866477
+ .long 714911
+ .long 3693944214
+ .long 1017259110
+ .long 3092190714
+ .long 734114
+ .long 2979333550
+ .long 1017188654
+ .long 4076559942
+ .long 753526
+ .long 174054861
+ .long 1014300631
+ .long 2420883922
+ .long 773150
+ .long 816778419
+ .long 1014197934
+ .long 3716502172
+ .long 792987
+ .long 3507050924
+ .long 1015341199
+ .long 777507147
+ .long 813041
+ .long 1821514088
+ .long 1013410604
+ .long 3706687593
+ .long 833312
+ .long 920623539
+ .long 1016295433
+ .long 1242007931
+ .long 853805
+ .long 2789017511
+ .long 1014276997
+ .long 3707479175
+ .long 874520
+ .long 3586233004
+ .long 1015962192
+ .long 64696965
+ .long 895462
+ .long 474650514
+ .long 1016642419
+ .long 863738718
+ .long 916631
+ .long 1614448851
+ .long 1014281732
+ .long 3884662774
+ .long 938030
+ .long 2450082086
+ .long 1016164135
+ .long 2728693977
+ .long 959663
+ .long 1101668360
+ .long 1015989180
+ .long 3999357479
+ .long 981531
+ .long 835814894
+ .long 1015702697
+ .long 1533953344
+ .long 1003638
+ .long 1301400989
+ .long 1014466875
+ .long 2174652632
+ .long 1025985
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 2146435071
+ .long 0
+ .long 1048576
+ .type static_const_table,@object
+ .size static_const_table,1224
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_hypot.S b/libm/x86/e_hypot.S
new file mode 100644
index 0000000..6a143e5
--- /dev/null
+++ b/libm/x86/e_hypot.S
@@ -0,0 +1,220 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// X87 version:
+// Use 80-bit FPU precision fmul, fsqrt to compute square and sqrt.
+//
+// SSE version:
+// Swap x, y if |x|<|y|
+// For x=2^k*x, get y=y*2^(-k)
+// Get S ~ sqrt(x^2+y^2) (leading 1 + leading 25 mantissa bits)
+//
+// Get D = ( RN(x^2+y^2) - S^2 ) + ( x^2 - RN(x^2) ) +
+// + ( y^2 - ((RN(x^2+y^2)-RN(x^2)) )
+//
+// Result is 2^k*(S + Se), where Se = S*e
+// S*e is approximated as (D/2S)*( 1 - (D/2S)^2*1.0/S )
+//
+// Return 2^k*(S+Se)
+//
+// For |y/x|<2^(-64), return x
+//
+// For cases where maximum biased exponent is either greater than 7fdh or
+// below 32, take a special path to check for special cases (0, NaN, Inf),
+// possible overflow, and more accurate computation for denormal results
+//
+// Special cases:
+// hypot(x,y), hypot(y,x), and hypot(x,-y) are equivalent
+// hypot(x,+-0) is equivalent to fabs(x)
+// hypot(x,y) = y if (x==NaN or x==INF) and y==INF
+// hypot(x,y) = x if (x==NaN or x==INF) and y!=INF (even if y==NaN!)
+// hypot(x,y) = y if (x!=NaN and x!=INF) and (y==NaN or y==INF)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin hypot
+ENTRY(hypot)
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $152, %esp
+ movl %ebx, 96(%esp)
+ call static_func
+ movl %eax, %ebx
+ movapd (%ebx), %xmm3
+ movsd 160(%esp), %xmm0
+ movsd 168(%esp), %xmm1
+ andpd %xmm3, %xmm0
+ andpd %xmm3, %xmm1
+ pextrw $3, %xmm0, %eax
+ pextrw $3, %xmm1, %edx
+ cmpl $24528, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ cmpl $24528, %edx
+ ja .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ fldl 160(%esp)
+ fldl 168(%esp)
+ fxch %st(1)
+ fmul %st(0), %st
+ fxch %st(1)
+ nop
+ fmul %st(0), %st
+ faddp %st, %st(1)
+ fsqrt
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ cmpl $32752, %eax
+ movl %eax, %ecx
+ jae .L_2TAG_PACKET_3.0.2
+ subl %edx, %ecx
+ cmpl $32752, %edx
+ jae .L_2TAG_PACKET_3.0.2
+ addl $928, %ecx
+ addl %edx, %eax
+ cmpl $1856, %ecx
+ ja .L_2TAG_PACKET_4.0.2
+ cmpl $49056, %eax
+ jb .L_2TAG_PACKET_1.0.2
+ fldl 160(%esp)
+ fldl 168(%esp)
+ fxch %st(1)
+ fmul %st(0), %st
+ fxch %st(1)
+ nop
+ fmul %st(0), %st
+ faddp %st, %st(1)
+ fsqrt
+.L_2TAG_PACKET_5.0.2:
+ fstl (%esp)
+ fstpt 16(%esp)
+ xorl %eax, %eax
+ movw 24(%esp), %ax
+ cmpl $17407, %eax
+ jae .L_2TAG_PACKET_6.0.2
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_4.0.2:
+ movsd %xmm0, 32(%esp)
+ movsd %xmm1, 40(%esp)
+ fldl 32(%esp)
+ faddl 40(%esp)
+ jmp .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_6.0.2:
+ movl $46, %edx
+.L_2TAG_PACKET_8.0.2:
+ movsd 160(%esp), %xmm0
+ movsd 168(%esp), %xmm1
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_3.0.2:
+ shufpd $0, %xmm1, %xmm0
+ movdqa %xmm0, %xmm2
+ movdqa 16(%ebx), %xmm3
+ movsd %xmm0, 32(%esp)
+ movsd %xmm1, 40(%esp)
+ cmppd $3, %xmm0, %xmm2
+ cmppd $0, %xmm0, %xmm3
+ movmskpd %xmm2, %edx
+ movmskpd %xmm3, %eax
+ testl %edx, %edx
+ je .L_2TAG_PACKET_9.0.2
+ fldl 32(%esp)
+ fmull 40(%esp)
+ testl $1, %eax
+ jne .L_2TAG_PACKET_10.0.2
+ testl $2, %eax
+ jne .L_2TAG_PACKET_11.0.2
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_9.0.2:
+ fldl 32(%esp)
+ faddl 40(%esp)
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_10.0.2:
+ fstpl 40(%esp)
+ fldl 32(%esp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_11.0.2:
+ fstpl 32(%esp)
+ fldl 40(%esp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_2.0.2:
+.L_2TAG_PACKET_7.0.2:
+ movl 96(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(hypot)
+# -- End hypot
+
+# Start file scope ASM
+ALIAS_SYMBOL(hypotl, hypot);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 2146435072
+ .type static_const_table,@object
+ .size static_const_table,32
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_log.S b/libm/x86/e_log.S
new file mode 100644
index 0000000..a6181ca
--- /dev/null
+++ b/libm/x86/e_log.S
@@ -0,0 +1,780 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpss instruction (B0)
+// B = int((B0*2^7+0.5))/2^7
+//
+// Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
+//
+// Result: k*log(2) - log(B) + p(r) if |x-1| >= small value (2^-6) and
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log(NaN) = quiet NaN, and raise invalid exception
+// log(+INF) = that INF
+// log(0) = -INF with divide-by-zero exception raised
+// log(1) = +0
+// log(x) = NaN with invalid exception raised if x < -0, including -INF
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin log
+ENTRY(log)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ xorpd %xmm3, %xmm3
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm3
+ movsd 112(%esp), %xmm0
+ movapd %xmm0, %xmm1
+ movl $32768, %ecx
+ movd %ecx, %xmm4
+ movsd 2128(%ebx), %xmm5
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ psllq $5, %xmm0
+ movl $16352, %ecx
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ paddd %xmm4, %xmm0
+ orpd %xmm3, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm1, %xmm5
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm1
+ mulpd %xmm0, %xmm5
+ andl $32752, %eax
+ subl %ecx, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulsd %xmm0, %xmm1
+ movsd 2064(%ebx), %xmm6
+ movapd 2080(%ebx), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd (%ebx,%edx), %xmm0
+ movapd 2096(%ebx), %xmm4
+ addsd %xmm5, %xmm1
+ movapd 2112(%ebx), %xmm2
+ mulsd %xmm7, %xmm6
+ pshufd $68, %xmm1, %xmm5
+ mulsd 2072(%ebx), %xmm7
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm4
+ mulpd %xmm5, %xmm5
+ pshufd $228, %xmm0, %xmm6
+ addsd %xmm1, %xmm0
+ addpd %xmm2, %xmm4
+ mulpd %xmm5, %xmm3
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm4
+ pshufd $238, %xmm0, %xmm2
+ addsd %xmm6, %xmm1
+ mulsd %xmm5, %xmm5
+ addsd %xmm2, %xmm7
+ addpd %xmm3, %xmm4
+ addsd %xmm7, %xmm1
+ mulpd %xmm5, %xmm4
+ addsd %xmm4, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ movsd 112(%esp), %xmm0
+ movapd %xmm0, %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ cmpl $16, %eax
+ jb .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_6.0.2:
+ ja .L_2TAG_PACKET_5.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_5.0.2
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_3.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ movl $3, %edx
+ mulsd %xmm1, %xmm0
+.L_2TAG_PACKET_9.0.2:
+ movsd %xmm0, (%esp)
+ movsd 112(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_10.0.2
+.L_2TAG_PACKET_8.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $2, %edx
+ jmp .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_4.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_8.0.2
+ xorpd %xmm1, %xmm1
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ movapd %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ psllq $5, %xmm0
+ movl $18416, %ecx
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_10.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(log)
+# -- End log
+
+# Start file scope ASM
+ALIAS_SYMBOL(logl, log);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 4277811200
+ .long 1072049730
+ .long 2479318832
+ .long 1026487127
+ .long 2854492160
+ .long 1072033410
+ .long 215631550
+ .long 1025638968
+ .long 1547061248
+ .long 1072017216
+ .long 2886781435
+ .long 1026423395
+ .long 649825280
+ .long 1072001146
+ .long 4281533405
+ .long 1024038923
+ .long 646346752
+ .long 1071985198
+ .long 1562735921
+ .long 1023790276
+ .long 2203734016
+ .long 1071969370
+ .long 1838397691
+ .long 3173936209
+ .long 1872169984
+ .long 1071953661
+ .long 3981202460
+ .long 1022325013
+ .long 669557760
+ .long 1071938069
+ .long 4182597802
+ .long 3173174122
+ .long 4076413952
+ .long 1071922591
+ .long 1209029111
+ .long 3170736207
+ .long 556125184
+ .long 1071907228
+ .long 821086028
+ .long 3173437049
+ .long 204914688
+ .long 1071891976
+ .long 2097025986
+ .long 3171071798
+ .long 387545088
+ .long 1071876834
+ .long 3142936996
+ .long 3173092218
+ .long 2912783360
+ .long 1071861800
+ .long 2502420140
+ .long 1024505919
+ .long 1144260608
+ .long 1071846874
+ .long 3315658140
+ .long 3173469843
+ .long 1471209472
+ .long 1071832053
+ .long 129621009
+ .long 3172443877
+ .long 1829683200
+ .long 1071817336
+ .long 3885467693
+ .long 1025535275
+ .long 288676864
+ .long 1071802722
+ .long 86139472
+ .long 3171639793
+ .long 3636378624
+ .long 1071788208
+ .long 1850238587
+ .long 1024654342
+ .long 1606817792
+ .long 1071773795
+ .long 3388899795
+ .long 3173675586
+ .long 1236164608
+ .long 1071759480
+ .long 3983599207
+ .long 1020046558
+ .long 1089616896
+ .long 1071745262
+ .long 4171974224
+ .long 1024773198
+ .long 4143093760
+ .long 1071731139
+ .long 2727587401
+ .long 3173965207
+ .long 600267776
+ .long 1071717112
+ .long 3147685042
+ .long 3173353031
+ .long 2249313280
+ .long 1071703177
+ .long 125835074
+ .long 1025255832
+ .long 3805303808
+ .long 1071689334
+ .long 2289991207
+ .long 1025460331
+ .long 87278592
+ .long 1071675583
+ .long 1106114045
+ .long 1025933602
+ .long 3195405312
+ .long 1071661920
+ .long 3885316576
+ .long 3171206239
+ .long 3853649920
+ .long 1071648346
+ .long 2977069852
+ .long 3171236771
+ .long 2944026624
+ .long 1071625048
+ .long 1008093493
+ .long 1023444474
+ .long 3993180160
+ .long 1071598247
+ .long 1862355595
+ .long 1024642533
+ .long 1454641152
+ .long 1071571617
+ .long 1514603089
+ .long 1026500596
+ .long 3286085632
+ .long 1071545154
+ .long 1400028424
+ .long 3173279056
+ .long 438773760
+ .long 1071518858
+ .long 120727864
+ .long 3172148914
+ .long 1212979200
+ .long 1071492725
+ .long 1625055594
+ .long 3172901933
+ .long 1189017600
+ .long 1071466754
+ .long 3920062376
+ .long 1025727407
+ .long 403064832
+ .long 1071440943
+ .long 1053271728
+ .long 3171391427
+ .long 3343210496
+ .long 1071415289
+ .long 3243395502
+ .long 3173627613
+ .long 1765777408
+ .long 1071389792
+ .long 2145968512
+ .long 1026354304
+ .long 461430784
+ .long 1071364449
+ .long 4094322285
+ .long 1026021467
+ .long 71706624
+ .long 1071339258
+ .long 763632021
+ .long 1024496933
+ .long 1380503552
+ .long 1071314217
+ .long 1383547992
+ .long 3173088453
+ .long 1015732224
+ .long 1071289325
+ .long 3198646877
+ .long 1025390322
+ .long 35977216
+ .long 1071264580
+ .long 2141026805
+ .long 1025754693
+ .long 3927306240
+ .long 1071239979
+ .long 282116272
+ .long 3173394334
+ .long 1125341184
+ .long 1071215523
+ .long 2768427504
+ .long 3172279059
+ .long 1666971648
+ .long 1071191208
+ .long 786837629
+ .long 3172427445
+ .long 2827694080
+ .long 1071167033
+ .long 3857122416
+ .long 3173014241
+ .long 2003683328
+ .long 1071142997
+ .long 859010954
+ .long 1026545007
+ .long 1004017664
+ .long 1071119098
+ .long 3356644970
+ .long 3173458064
+ .long 1753020416
+ .long 1071095334
+ .long 788338552
+ .long 1026157693
+ .long 1992718336
+ .long 1071071704
+ .long 1239179443
+ .long 1026394889
+ .long 3870234624
+ .long 1071048206
+ .long 2082614663
+ .long 1024926053
+ .long 1050437632
+ .long 1071024840
+ .long 660007840
+ .long 1025548499
+ .long 188395520
+ .long 1071001603
+ .long 3878792704
+ .long 3173889571
+ .long 3747176448
+ .long 1070978493
+ .long 144991708
+ .long 3171552042
+ .long 1405669376
+ .long 1070955511
+ .long 3999088879
+ .long 1025486317
+ .long 121151488
+ .long 1070932654
+ .long 2170865497
+ .long 1026473584
+ .long 2652319744
+ .long 1070909920
+ .long 453695652
+ .long 3173916809
+ .long 3262236672
+ .long 1070887309
+ .long 157800053
+ .long 3173984206
+ .long 601221120
+ .long 1070864820
+ .long 3968917661
+ .long 1023992886
+ .long 1999843328
+ .long 1070842450
+ .long 3053895004
+ .long 1024998228
+ .long 1992167424
+ .long 1070820199
+ .long 2968614856
+ .long 1024552653
+ .long 3788726272
+ .long 1070798065
+ .long 3542170808
+ .long 3173573242
+ .long 2094829568
+ .long 1070776048
+ .long 1246758132
+ .long 1026202874
+ .long 288675840
+ .long 1070754146
+ .long 3747328950
+ .long 1026331585
+ .long 1829681152
+ .long 1070732357
+ .long 3125197546
+ .long 1024100318
+ .long 1666869248
+ .long 1070710681
+ .long 1363656119
+ .long 1026336493
+ .long 3417110528
+ .long 1070689116
+ .long 4154791553
+ .long 1026267853
+ .long 2183653376
+ .long 1070667662
+ .long 1671819292
+ .long 3173785870
+ .long 1734434816
+ .long 1070646317
+ .long 373091049
+ .long 1025972363
+ .long 1615681536
+ .long 1070625080
+ .long 384650897
+ .long 1022926043
+ .long 1445382144
+ .long 1070603950
+ .long 344320330
+ .long 3172397196
+ .long 1823715328
+ .long 1070569756
+ .long 3389841200
+ .long 1025231852
+ .long 3839688704
+ .long 1070527917
+ .long 1706790417
+ .long 3167363349
+ .long 4293332992
+ .long 1070486286
+ .long 1614935088
+ .long 1019351591
+ .long 2966720512
+ .long 1070444861
+ .long 4145393717
+ .long 3173711658
+ .long 4066729984
+ .long 1070403639
+ .long 1974925028
+ .long 3171437182
+ .long 3337621504
+ .long 1070362619
+ .long 3314953170
+ .long 3169971314
+ .long 943448064
+ .long 1070321799
+ .long 1498682038
+ .long 3173862340
+ .long 1465634816
+ .long 1070281176
+ .long 1319952810
+ .long 3171693965
+ .long 1015734272
+ .long 1070240749
+ .long 1347821929
+ .long 3173544515
+ .long 118001664
+ .long 1070200516
+ .long 1751482746
+ .long 1026134093
+ .long 3707174912
+ .long 1070160474
+ .long 1486946159
+ .long 1023930920
+ .long 3946381312
+ .long 1070120623
+ .long 2867408081
+ .long 3171368276
+ .long 1699848192
+ .long 1070080961
+ .long 2590187139
+ .long 1025379803
+ .long 2235846656
+ .long 1070041485
+ .long 1888568069
+ .long 3172754960
+ .long 2339729408
+ .long 1070002194
+ .long 3852214753
+ .long 3173323149
+ .long 3196850176
+ .long 1069963086
+ .long 742141560
+ .long 1025101707
+ .long 1800683520
+ .long 1069924160
+ .long 3949500444
+ .long 3172102179
+ .long 3835801600
+ .long 1069885413
+ .long 3848895943
+ .long 1025913832
+ .long 2201202688
+ .long 1069846845
+ .long 1425913464
+ .long 1025868665
+ .long 2778279936
+ .long 1069808453
+ .long 2120889677
+ .long 3173831128
+ .long 2954203136
+ .long 1069770236
+ .long 592147081
+ .long 1019621288
+ .long 210141184
+ .long 1069732193
+ .long 3414275233
+ .long 1023647084
+ .long 709476352
+ .long 1069694321
+ .long 2413027164
+ .long 1024462115
+ .long 2116284416
+ .long 1069656619
+ .long 1144559924
+ .long 1026336654
+ .long 2183651328
+ .long 1069619086
+ .long 3459057650
+ .long 1025634168
+ .long 3047047168
+ .long 1069581720
+ .long 1879674924
+ .long 3173508573
+ .long 970711040
+ .long 1069541521
+ .long 1335954173
+ .long 3173332182
+ .long 2198478848
+ .long 1069467449
+ .long 2951103968
+ .long 3173892200
+ .long 1669611520
+ .long 1069393703
+ .long 531044147
+ .long 1025149248
+ .long 29114368
+ .long 1069320280
+ .long 3327831251
+ .long 1025918673
+ .long 2376949760
+ .long 1069247176
+ .long 737634533
+ .long 3172176000
+ .long 1085390848
+ .long 1069174390
+ .long 3108243400
+ .long 3171828406
+ .long 1566130176
+ .long 1069101918
+ .long 985483226
+ .long 1025708380
+ .long 792780800
+ .long 1069029758
+ .long 4184866295
+ .long 1024426204
+ .long 183156736
+ .long 1068957907
+ .long 2845699378
+ .long 1022107277
+ .long 1301782528
+ .long 1068886362
+ .long 1012735262
+ .long 3173804294
+ .long 1562411008
+ .long 1068815121
+ .long 2197086703
+ .long 3170187813
+ .long 2815549440
+ .long 1068744181
+ .long 2782613207
+ .long 1026345054
+ .long 2756124672
+ .long 1068673540
+ .long 2929486205
+ .long 3173037800
+ .long 3511050240
+ .long 1068603195
+ .long 1443733147
+ .long 3173331549
+ .long 3047047168
+ .long 1068533144
+ .long 1879674924
+ .long 3172459997
+ .long 3221667840
+ .long 1068427825
+ .long 1338588027
+ .long 3171815742
+ .long 3453861888
+ .long 1068288883
+ .long 1205348359
+ .long 3172624626
+ .long 3506110464
+ .long 1068150514
+ .long 893105198
+ .long 1025571866
+ .long 346013696
+ .long 1068012714
+ .long 3495569021
+ .long 3172563349
+ .long 4074029056
+ .long 1067875476
+ .long 3961106338
+ .long 3171065595
+ .long 3559784448
+ .long 1067738798
+ .long 1975385384
+ .long 3173783155
+ .long 797769728
+ .long 1067602675
+ .long 3760305787
+ .long 1026047642
+ .long 2313633792
+ .long 1067467101
+ .long 1559353171
+ .long 1023480256
+ .long 3960766464
+ .long 1067213778
+ .long 1067365107
+ .long 1025865926
+ .long 684261376
+ .long 1066944805
+ .long 844762164
+ .long 3173687482
+ .long 630718464
+ .long 1066676905
+ .long 2458269694
+ .long 1024033081
+ .long 1486061568
+ .long 1066410070
+ .long 115537874
+ .long 3173243995
+ .long 2743664640
+ .long 1065886792
+ .long 3665098304
+ .long 3173471607
+ .long 1971912704
+ .long 1065357333
+ .long 2577214440
+ .long 3171993451
+ .long 1498939392
+ .long 1064306693
+ .long 3409036923
+ .long 1025599151
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 4277811200
+ .long 1067855426
+ .long 2479318832
+ .long 1022292823
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1030730101
+ .long 3217380702
+ .long 1431655765
+ .long 1070945621
+ .long 2576980378
+ .long 1070176665
+ .long 0
+ .long 3219128320
+ .long 0
+ .long 4294959104
+ .long 0
+ .long 4294959104
+ .type static_const_table,@object
+ .size static_const_table,2144
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_log10.S b/libm/x86/e_log10.S
new file mode 100644
index 0000000..09b2952
--- /dev/null
+++ b/libm/x86/e_log10.S
@@ -0,0 +1,795 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpss instruction (B0)
+// B = int((B0*LH*2^7+0.5))/2^7
+// LH is a short approximation for log10(e)
+//
+// Reduced argument: r=B*mx-LH (computed accurately in high and low parts)
+//
+// Result: k*log10(2) - log(B) + p(r)
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log10(0) = -INF with divide-by-zero exception raised
+// log10(1) = +0
+// log10(x) = NaN with invalid exception raised if x < -0, including -INF
+// log10(+INF) = +INF
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin log10
+ENTRY(log10)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movl $1054736384, %ecx
+ movd %ecx, %xmm7
+ xorpd %xmm3, %xmm3
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm3
+ movsd 112(%esp), %xmm0
+ movapd %xmm0, %xmm1
+ movl $32768, %edx
+ movd %edx, %xmm4
+ movapd 2128(%ebx), %xmm5
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $16352, %ecx
+ psllq $5, %xmm0
+ movsd 2144(%ebx), %xmm2
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $78, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ mulss %xmm7, %xmm0
+ orpd %xmm3, %xmm1
+ andpd %xmm1, %xmm5
+ paddd %xmm4, %xmm0
+ subsd %xmm5, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm6, %xmm0
+ andl $32752, %eax
+ subl %ecx, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ mulsd %xmm0, %xmm1
+ movsd 2064(%ebx), %xmm6
+ movapd 2080(%ebx), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd -1504(%ebx,%edx), %xmm0
+ movapd 2096(%ebx), %xmm4
+ addsd %xmm5, %xmm1
+ movapd 2112(%ebx), %xmm2
+ mulsd %xmm7, %xmm6
+ pshufd $68, %xmm1, %xmm5
+ mulsd 2072(%ebx), %xmm7
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm4
+ movsd 2152(%ebx), %xmm6
+ mulpd %xmm5, %xmm5
+ addpd %xmm2, %xmm4
+ mulpd %xmm5, %xmm3
+ pshufd $228, %xmm0, %xmm2
+ addsd %xmm1, %xmm0
+ mulsd %xmm1, %xmm4
+ subsd %xmm0, %xmm2
+ mulsd %xmm1, %xmm6
+ addsd %xmm2, %xmm1
+ pshufd $238, %xmm0, %xmm2
+ mulsd %xmm5, %xmm5
+ addsd %xmm2, %xmm7
+ addsd %xmm6, %xmm1
+ addpd %xmm3, %xmm4
+ addsd %xmm7, %xmm1
+ mulpd %xmm5, %xmm4
+ addsd %xmm4, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ movsd 112(%esp), %xmm0
+ movapd %xmm0, %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ cmpl $16, %eax
+ jb .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_6.0.2:
+ ja .L_2TAG_PACKET_5.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_5.0.2
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_3.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ movl $9, %edx
+ mulsd %xmm1, %xmm0
+.L_2TAG_PACKET_9.0.2:
+ movsd %xmm0, (%esp)
+ movsd 112(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_10.0.2
+.L_2TAG_PACKET_8.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $8, %edx
+ jmp .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_4.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_8.0.2
+ xorpd %xmm1, %xmm1
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movapd %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psllq $5, %xmm0
+ movsd 2144(%ebx), %xmm2
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $78, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_10.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(log10)
+# -- End log10
+
+# Start file scope ASM
+ALIAS_SYMBOL(log10l, log10);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 1352628224
+ .long 1070810131
+ .long 521319256
+ .long 1025503025
+ .long 2150839296
+ .long 1070801944
+ .long 3329350096
+ .long 3170190015
+ .long 1360613376
+ .long 1070793794
+ .long 2024059075
+ .long 1024991594
+ .long 1875350528
+ .long 1070785680
+ .long 2163882141
+ .long 3163564137
+ .long 2312126464
+ .long 1070777602
+ .long 1975711076
+ .long 1023674196
+ .long 1306336256
+ .long 1070769560
+ .long 3524899523
+ .long 3170508164
+ .long 1806334976
+ .long 1070761553
+ .long 4254777025
+ .long 1025238739
+ .long 2483193856
+ .long 1070753581
+ .long 3800671317
+ .long 3172916830
+ .long 2025350144
+ .long 1070745644
+ .long 1731514745
+ .long 1025501083
+ .long 3433285632
+ .long 1070737741
+ .long 2551857336
+ .long 3169662186
+ .long 1134317568
+ .long 1070729873
+ .long 3426297655
+ .long 3172637891
+ .long 2457152512
+ .long 1070722038
+ .long 63549415
+ .long 1025415416
+ .long 1861803008
+ .long 1070714237
+ .long 1910171636
+ .long 1023977580
+ .long 2414140416
+ .long 1070706469
+ .long 4002514337
+ .long 3170841618
+ .long 2900726784
+ .long 1070698734
+ .long 3268064083
+ .long 1022459609
+ .long 2123517952
+ .long 1070691032
+ .long 1767031218
+ .long 1022448156
+ .long 3194569728
+ .long 1070683362
+ .long 3402332618
+ .long 3171671160
+ .long 650882048
+ .long 1070675725
+ .long 4146023905
+ .long 3171023038
+ .long 1928988672
+ .long 1070668119
+ .long 1438617867
+ .long 1016360491
+ .long 1594908672
+ .long 1070660545
+ .long 971389377
+ .long 1024763979
+ .long 2818746368
+ .long 1070653002
+ .long 3555925341
+ .long 3172434821
+ .long 194584576
+ .long 1070645491
+ .long 943919215
+ .long 3172950063
+ .long 1215096832
+ .long 1070638010
+ .long 2283358588
+ .long 1022335098
+ .long 501519360
+ .long 1070630560
+ .long 480904295
+ .long 1024437959
+ .long 1278266368
+ .long 1070623140
+ .long 2755806066
+ .long 3172342012
+ .long 2487812096
+ .long 1070615750
+ .long 2489653202
+ .long 3172481099
+ .long 3085451264
+ .long 1070608390
+ .long 3759184951
+ .long 3172574892
+ .long 2039090176
+ .long 1070601060
+ .long 1361176676
+ .long 3172355319
+ .long 953057280
+ .long 1070591423
+ .long 1176587546
+ .long 3166422018
+ .long 3370524672
+ .long 1070576879
+ .long 3669570051
+ .long 1025376630
+ .long 749742080
+ .long 1070562394
+ .long 707700964
+ .long 3170814058
+ .long 4008353792
+ .long 1070547965
+ .long 3247327652
+ .long 1022431400
+ .long 2612455424
+ .long 1070533594
+ .long 2453457344
+ .long 3172322969
+ .long 3230920704
+ .long 1070519279
+ .long 1296781801
+ .long 1025115335
+ .long 3965253632
+ .long 1070505020
+ .long 373075289
+ .long 1017938528
+ .long 2593157120
+ .long 1070476669
+ .long 1068054086
+ .long 1021616576
+ .long 925962240
+ .long 1070448537
+ .long 850121213
+ .long 1023928989
+ .long 1732556800
+ .long 1070420620
+ .long 1305206740
+ .long 3172665570
+ .long 3815630848
+ .long 1070392915
+ .long 192642943
+ .long 3172699907
+ .long 2001758208
+ .long 1070365420
+ .long 2820786683
+ .long 1024704867
+ .long 16746496
+ .long 1070338131
+ .long 1399573110
+ .long 3171372773
+ .long 1886492672
+ .long 1070311044
+ .long 3621428075
+ .long 3172974358
+ .long 3338196992
+ .long 1070284157
+ .long 3793882035
+ .long 1025124701
+ .long 381769728
+ .long 1070257468
+ .long 3877933342
+ .long 3170195490
+ .long 2186491904
+ .long 1070230972
+ .long 1838687089
+ .long 1017927292
+ .long 1008330752
+ .long 1070204668
+ .long 2228321664
+ .long 1025352196
+ .long 2247065600
+ .long 1070178552
+ .long 1413900906
+ .long 3170902532
+ .long 2964070400
+ .long 1070152622
+ .long 3590454629
+ .long 1025016844
+ .long 465154048
+ .long 1070126876
+ .long 2079688550
+ .long 3172268183
+ .long 883615744
+ .long 1070101310
+ .long 989244452
+ .long 3171900485
+ .long 1993768960
+ .long 1070075922
+ .long 1124327841
+ .long 3172964992
+ .long 1794471936
+ .long 1070050710
+ .long 1140575046
+ .long 1022673726
+ .long 2797932544
+ .long 1070025671
+ .long 1894836933
+ .long 3172544059
+ .long 3433797632
+ .long 1070000803
+ .long 3221831166
+ .long 3171921685
+ .long 2338371584
+ .long 1069976104
+ .long 3732461053
+ .long 3164513518
+ .long 2644013056
+ .long 1069951571
+ .long 2519460462
+ .long 3172548740
+ .long 3383814144
+ .long 1069927202
+ .long 2290997657
+ .long 1025499649
+ .long 3781380096
+ .long 1069902995
+ .long 380479405
+ .long 1025184136
+ .long 3245785088
+ .long 1069878948
+ .long 1096398261
+ .long 3169885192
+ .long 1366712320
+ .long 1069855059
+ .long 2218343715
+ .long 3170281628
+ .long 2204717056
+ .long 1069831325
+ .long 2668334011
+ .long 1025264524
+ .long 1401772032
+ .long 1069807745
+ .long 4103993159
+ .long 1022925721
+ .long 3356721152
+ .long 1069784316
+ .long 3573790772
+ .long 3172186527
+ .long 4041148416
+ .long 1069761037
+ .long 4027691910
+ .long 3171276990
+ .long 3880151040
+ .long 1069737906
+ .long 4087118786
+ .long 3172710734
+ .long 3453364224
+ .long 1069714921
+ .long 99014299
+ .long 3172003077
+ .long 3491092480
+ .long 1069692080
+ .long 3801836701
+ .long 3172989287
+ .long 575580160
+ .long 1069669382
+ .long 1920406012
+ .long 3170874125
+ .long 22282240
+ .long 1069646824
+ .long 964193370
+ .long 1019363159
+ .long 2991429632
+ .long 1069624404
+ .long 3372589890
+ .long 1023425053
+ .long 2189645824
+ .long 1069602122
+ .long 2610503872
+ .long 1023652442
+ .long 3341467648
+ .long 1069579975
+ .long 1190292004
+ .long 1022425665
+ .long 3711293440
+ .long 1069557962
+ .long 1104795356
+ .long 1023625829
+ .long 1380401152
+ .long 1069524644
+ .long 1156998217
+ .long 1025100499
+ .long 765710336
+ .long 1069481144
+ .long 1736649113
+ .long 1024999439
+ .long 849412096
+ .long 1069437902
+ .long 2618178330
+ .long 3170853629
+ .long 1433104384
+ .long 1069394915
+ .long 43477267
+ .long 3170378811
+ .long 2548596736
+ .long 1069352180
+ .long 3967367063
+ .long 1025246584
+ .long 157577216
+ .long 1069309695
+ .long 100402533
+ .long 3172825502
+ .long 3326238720
+ .long 1069267455
+ .long 1176892909
+ .long 1025464099
+ .long 4155494400
+ .long 1069225459
+ .long 3713707617
+ .long 3172630046
+ .long 3545804800
+ .long 1069183704
+ .long 857007315
+ .long 1024965777
+ .long 2602520576
+ .long 1069142187
+ .long 2588758347
+ .long 1022463131
+ .long 2631196672
+ .long 1069100905
+ .long 2118424235
+ .long 1022490989
+ .long 838135808
+ .long 1069059856
+ .long 4117002727
+ .long 1024874520
+ .long 3210903552
+ .long 1069019036
+ .long 650070125
+ .long 3172012966
+ .long 3039211520
+ .long 1068978444
+ .long 438055812
+ .long 1017743757
+ .long 2385633280
+ .long 1068938077
+ .long 3011990369
+ .long 3171312044
+ .long 3491618816
+ .long 1068897932
+ .long 712813818
+ .long 3172720400
+ .long 183644160
+ .long 1068858008
+ .long 4287006742
+ .long 1022379728
+ .long 3639214080
+ .long 1068818300
+ .long 353762279
+ .long 3172980009
+ .long 3728416768
+ .long 1068778808
+ .long 1851367730
+ .long 1025486574
+ .long 3370094592
+ .long 1068739529
+ .long 4046594913
+ .long 3172567047
+ .long 1348407296
+ .long 1068700461
+ .long 143189675
+ .long 1025397632
+ .long 899403776
+ .long 1068661601
+ .long 3753687842
+ .long 3170772772
+ .long 1117708288
+ .long 1068622947
+ .long 1857340812
+ .long 3170782678
+ .long 1248276480
+ .long 1068584497
+ .long 1289858203
+ .long 1025222289
+ .long 683237376
+ .long 1068546249
+ .long 2356679608
+ .long 3171629170
+ .long 3253764096
+ .long 1068508200
+ .long 3267136556
+ .long 1018554987
+ .long 94478336
+ .long 1068441756
+ .long 1927868814
+ .long 3169378180
+ .long 3233144832
+ .long 1068366445
+ .long 2682188854
+ .long 1023964004
+ .long 2940297216
+ .long 1068291522
+ .long 275301289
+ .long 1023944679
+ .long 3677708288
+ .long 1068216982
+ .long 302658771
+ .long 1024465567
+ .long 1576968192
+ .long 1068142822
+ .long 3672035940
+ .long 3172254610
+ .long 1614069760
+ .long 1068069037
+ .long 480052905
+ .long 3172692062
+ .long 424435712
+ .long 1067995624
+ .long 2207869657
+ .long 3170965436
+ .long 3477782528
+ .long 1067922578
+ .long 2980661858
+ .long 3164990018
+ .long 3598401536
+ .long 1067849897
+ .long 1974393034
+ .long 3171357083
+ .long 2435235840
+ .long 1067777577
+ .long 1385289011
+ .long 1024615823
+ .long 1867333632
+ .long 1067705614
+ .long 3442236633
+ .long 1025334384
+ .long 3999301632
+ .long 1067634004
+ .long 3506472073
+ .long 1025132546
+ .long 2566971392
+ .long 1067562745
+ .long 1425757592
+ .long 3172358463
+ .long 112943104
+ .long 1067491833
+ .long 1693407156
+ .long 3172426603
+ .long 3079929856
+ .long 1067392159
+ .long 3999942455
+ .long 1018549369
+ .long 2443837440
+ .long 1067251701
+ .long 974534460
+ .long 1023963412
+ .long 359366656
+ .long 1067111917
+ .long 2204915018
+ .long 1013514416
+ .long 3564519424
+ .long 1066972799
+ .long 3977441659
+ .long 3170879860
+ .long 2011086848
+ .long 1066834343
+ .long 590145514
+ .long 1025390011
+ .long 3216982016
+ .long 1066696541
+ .long 3629120110
+ .long 1024330313
+ .long 2194128896
+ .long 1066559388
+ .long 2367098512
+ .long 3172260338
+ .long 2916220928
+ .long 1066422877
+ .long 2262431886
+ .long 1021229446
+ .long 2263941120
+ .long 1066172214
+ .long 3118507287
+ .long 1021484970
+ .long 3076292608
+ .long 1065901726
+ .long 1411737803
+ .long 3172957147
+ .long 1186136064
+ .long 1065632488
+ .long 3109349337
+ .long 1025397383
+ .long 3085303808
+ .long 1065364487
+ .long 584715031
+ .long 3172596519
+ .long 1821048832
+ .long 1064842211
+ .long 2182246895
+ .long 3172536214
+ .long 697368576
+ .long 1064311094
+ .long 3157561765
+ .long 3172716357
+ .long 894042112
+ .long 1063260131
+ .long 3237958154
+ .long 3172587292
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1352628224
+ .long 1066615827
+ .long 521319256
+ .long 1021308721
+ .long 3248877870
+ .long 1077250164
+ .long 1691676429
+ .long 3221787401
+ .long 945132465
+ .long 3223701783
+ .long 3700831335
+ .long 1073506818
+ .long 2141010593
+ .long 1075227551
+ .long 3698831637
+ .long 3220339442
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 4294959104
+ .long 0
+ .long 1071366144
+ .long 3207479560
+ .long 1062894188
+ .type static_const_table,@object
+ .size static_const_table,2160
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_pow.S b/libm/x86/e_pow.S
new file mode 100644
index 0000000..43e30d8
--- /dev/null
+++ b/libm/x86/e_pow.S
@@ -0,0 +1,4277 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// log2(x) calculation:
+//
+// Get B~1/mx based on the output of rcpps instruction (B0)
+// B = int((B0*LH*2^9+0.5))/2^9
+// LH is a short approximation for log2(e)
+//
+// Reduced argument, scaled by LH:
+// r=B*mx-LH (computed accurately in high and low parts)
+//
+// log2(x) result: k - log2(B) + p(r)
+// p(r) is a degree 8 polynomial
+// -log2(B) read from data table (high, low parts)
+// log2(x) is formed from high and low parts
+// For |x| in [1-1/32, 1+1/16), a slower but more accurate computation
+// based om the same table design is performed.
+//
+// Main path is taken if | floor(log2(|log2(|x|)|) + floor(log2|y|) | < 8,
+// to filter out all potential OF/UF cases.
+// exp2(y*log2(x)) is computed using an 8-bit index table and a degree 5
+// polynomial
+//
+// Special cases:
+// pow(-0,y) = -INF and raises the divide-by-zero exception for y an odd
+// integer < 0.
+// pow(-0,y) = +INF and raises the divide-by-zero exception for y < 0 and
+// not an odd integer.
+// pow(-0,y) = -0 for y an odd integer > 0.
+// pow(-0,y) = +0 for y > 0 and not an odd integer.
+// pow(-1,-INF) = 1.
+// pow(+1,y) = 1 for any y, even a NaN.
+// pow(x,-0) = 1 for any x, even a NaN.
+// pow(x,y) = a NaN and raises the invalid exception for finite x < 0 and
+// finite non-integer y.
+// pow(x,-INF) = +INF for |x|<1.
+// pow(x,-INF) = +0 for |x|>1.
+// pow(x,+INF) = +0 for |x|<1.
+// pow(x,+INF) = +INF for |x|>1.
+// pow(-INF,y) = -0 for y an odd integer < 0.
+// pow(-INF,y) = +0 for y < 0 and not an odd integer.
+// pow(-INF,y) = -INF for y an odd integer > 0.
+// pow(-INF,y) = +INF for y > 0 and not an odd integer.
+// pow(+INF,y) = +0 for y <0.
+// pow(+INF,y) = +INF for y >0.
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin pow
+ENTRY(pow)
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 64(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ movsd 136(%esp), %xmm1
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movl $1069088768, %ecx
+ movd %ecx, %xmm7
+ movsd %xmm1, 16(%esp)
+ xorpd %xmm1, %xmm1
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm1
+ movsd %xmm0, 8(%esp)
+ movapd %xmm0, %xmm3
+ movl $8192, %edx
+ movd %edx, %xmm4
+ movapd 8240(%ebx), %xmm6
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ psllq $5, %xmm0
+ movsd 8256(%ebx), %xmm2
+ psrlq $34, %xmm0
+ movl %eax, %edx
+ andl $32752, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm3
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ psrlq $12, %xmm3
+ movl %esi, 24(%esp)
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ movl $0, %esi
+.L_2TAG_PACKET_1.0.2:
+ mulss %xmm7, %xmm0
+ movl $-1, %edx
+ subl $4, %ecx
+ shll %cl, %edx
+ movd %edx, %xmm5
+ orpd %xmm1, %xmm3
+ subl $16351, %eax
+ cmpl $1, %eax
+ jbe .L_2TAG_PACKET_2.0.2
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm3, %xmm5
+.L_2TAG_PACKET_3.0.2:
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ subl $1, %eax
+ sarl $4, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulpd %xmm0, %xmm5
+.L_2TAG_PACKET_4.0.2:
+ mulsd %xmm0, %xmm3
+ movapd 8272(%ebx), %xmm1
+ subsd %xmm2, %xmm5
+ movapd 8288(%ebx), %xmm4
+ movl %eax, %ecx
+ sarl $31, %eax
+ addl %eax, %ecx
+ xorl %ecx, %eax
+ addl $1, %eax
+ bsr %eax, %eax
+ unpcklpd %xmm3, %xmm5
+ movapd 8304(%ebx), %xmm6
+ addsd %xmm5, %xmm3
+ andl $16760832, %edx
+ shrl $10, %edx
+ addpd -3616(%ebx,%edx), %xmm5
+ movapd 8320(%ebx), %xmm0
+ pshufd $68, %xmm3, %xmm2
+ mulsd %xmm3, %xmm3
+ mulpd %xmm2, %xmm1
+ mulpd %xmm2, %xmm4
+ addsd %xmm7, %xmm5
+ mulsd %xmm3, %xmm2
+ addpd %xmm1, %xmm6
+ mulsd %xmm3, %xmm3
+ addpd %xmm4, %xmm0
+ movsd 16(%esp), %xmm1
+ movzwl 22(%esp), %ecx
+ pshufd $238, %xmm5, %xmm7
+ movsd 8368(%ebx), %xmm4
+ mulpd %xmm2, %xmm6
+ pshufd $68, %xmm3, %xmm3
+ mulpd %xmm2, %xmm0
+ shll $4, %eax
+ subl $15872, %eax
+ andl $32752, %ecx
+ addl %ecx, %eax
+ mulpd %xmm6, %xmm3
+ cmpl $624, %eax
+ jae .L_2TAG_PACKET_5.0.2
+ xorpd %xmm6, %xmm6
+ movl $17080, %edx
+ pinsrw $3, %edx, %xmm6
+ movapd %xmm1, %xmm2
+ andpd %xmm1, %xmm4
+ subsd %xmm4, %xmm1
+ mulsd %xmm5, %xmm4
+ addsd %xmm7, %xmm0
+ mulsd %xmm5, %xmm1
+ movapd %xmm6, %xmm7
+ addsd %xmm4, %xmm6
+ addpd %xmm0, %xmm3
+ movd %xmm6, %edx
+ subsd %xmm7, %xmm6
+ pshufd $238, %xmm3, %xmm0
+ subsd %xmm6, %xmm4
+ addsd %xmm3, %xmm0
+ movl %edx, %ecx
+ andl $255, %edx
+ addl %edx, %edx
+ movapd 8384(%ebx,%edx,8), %xmm5
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ movapd 12480(%ebx), %xmm7
+ movapd 12496(%ebx), %xmm3
+ shll $12, %ecx
+ xorl %esi, %ecx
+ andl $-1048576, %ecx
+ movd %ecx, %xmm6
+ addsd %xmm4, %xmm2
+ movsd 12512(%ebx), %xmm1
+ pshufd $68, %xmm2, %xmm0
+ pshufd $68, %xmm2, %xmm4
+ mulpd %xmm0, %xmm0
+ movl 24(%esp), %esi
+ mulpd %xmm4, %xmm7
+ pshufd $17, %xmm6, %xmm6
+ mulsd %xmm2, %xmm1
+ mulsd %xmm0, %xmm0
+ paddd %xmm6, %xmm5
+ addpd %xmm7, %xmm3
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ mulpd %xmm3, %xmm0
+ addsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm3
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm0
+ addsd %xmm5, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_7.0.2:
+ movsd 128(%esp), %xmm0
+ movsd 136(%esp), %xmm1
+ mulsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_0.0.2:
+ addl $16, %eax
+ movl $32752, %edx
+ andl %eax, %edx
+ cmpl $32752, %edx
+ je .L_2TAG_PACKET_8.0.2
+ testl $32768, %eax
+ jne .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_10.0.2:
+ movl 16(%esp), %ecx
+ xorl %edx, %edx
+ testl %ecx, %ecx
+ movl $1, %ecx
+ cmovne %ecx, %edx
+ orl 20(%esp), %edx
+ cmpl $1072693248, %edx
+ je .L_2TAG_PACKET_7.0.2
+ movsd 8(%esp), %xmm0
+ movsd 8(%esp), %xmm3
+ movd %xmm3, %edx
+ psrlq $32, %xmm3
+ movd %xmm3, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_11.0.2
+ xorpd %xmm3, %xmm3
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm3
+ mulsd %xmm3, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movapd %xmm0, %xmm3
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psllq $5, %xmm0
+ movsd 8256(%ebx), %xmm2
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm3
+ movapd 8240(%ebx), %xmm6
+ psrlq $12, %xmm3
+ mulss %xmm7, %xmm0
+ movl $-1024, %edx
+ movd %edx, %xmm5
+ orpd %xmm1, %xmm3
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm3, %xmm5
+ movl $0, %esi
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ andl $32752, %eax
+ subl $18416, %eax
+ sarl $4, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_12.0.2:
+ movl 16(%esp), %ecx
+ xorl %edx, %edx
+ testl %ecx, %ecx
+ movl $1, %ecx
+ cmovne %ecx, %edx
+ orl 20(%esp), %edx
+ cmpl $1072693248, %edx
+ je .L_2TAG_PACKET_7.0.2
+ movsd 8(%esp), %xmm0
+ movsd 8(%esp), %xmm3
+ movd %xmm3, %edx
+ psrlq $32, %xmm3
+ movd %xmm3, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_11.0.2
+ xorpd %xmm3, %xmm3
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm3
+ mulsd %xmm3, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movapd %xmm0, %xmm3
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psllq $5, %xmm0
+ movsd 8256(%ebx), %xmm2
+ psrlq $34, %xmm0
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm3
+ movapd 8240(%ebx), %xmm6
+ psrlq $12, %xmm3
+ mulss %xmm7, %xmm0
+ movl $-1024, %edx
+ movd %edx, %xmm5
+ orpd %xmm1, %xmm3
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm3, %xmm5
+ movl $-2147483648, %esi
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ andl $32752, %eax
+ subl $18416, %eax
+ sarl $4, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_13.0.2
+ cmpl $736, %eax
+ jae .L_2TAG_PACKET_14.0.2
+.L_2TAG_PACKET_15.0.2:
+ addsd %xmm7, %xmm0
+ movsd 12544(%ebx), %xmm2
+ addpd %xmm0, %xmm3
+ xorpd %xmm6, %xmm6
+ movl $17080, %eax
+ pinsrw $3, %eax, %xmm6
+ pshufd $238, %xmm3, %xmm0
+ addsd %xmm3, %xmm0
+ movapd %xmm5, %xmm3
+ addsd %xmm0, %xmm5
+ movapd %xmm2, %xmm4
+ subsd %xmm5, %xmm3
+ movapd %xmm5, %xmm7
+ andpd %xmm2, %xmm5
+ movapd %xmm1, %xmm2
+ andpd %xmm1, %xmm4
+ subsd %xmm5, %xmm7
+ addsd %xmm3, %xmm0
+ subsd %xmm4, %xmm1
+ mulsd %xmm5, %xmm4
+ addsd %xmm7, %xmm0
+ mulsd %xmm0, %xmm2
+ movapd %xmm6, %xmm7
+ mulsd %xmm5, %xmm1
+ addsd %xmm4, %xmm6
+ movd %xmm6, %eax
+ subsd %xmm7, %xmm6
+ addsd %xmm1, %xmm2
+ movapd 12480(%ebx), %xmm7
+ movapd 12496(%ebx), %xmm3
+ subsd %xmm6, %xmm4
+ pextrw $3, %xmm6, %edx
+ movl %eax, %ecx
+ andl $255, %eax
+ addl %eax, %eax
+ movapd 8384(%ebx,%eax,8), %xmm5
+ addsd %xmm4, %xmm2
+ sarl $8, %ecx
+ movl %ecx, %eax
+ sarl $1, %ecx
+ subl %ecx, %eax
+ shll $20, %ecx
+ xorl %esi, %ecx
+ movd %ecx, %xmm6
+ movsd 12512(%ebx), %xmm1
+ andl $32767, %edx
+ cmpl $16529, %edx
+ ja .L_2TAG_PACKET_14.0.2
+ pshufd $68, %xmm2, %xmm0
+ pshufd $68, %xmm2, %xmm4
+ mulpd %xmm0, %xmm0
+ mulpd %xmm4, %xmm7
+ pshufd $17, %xmm6, %xmm6
+ mulsd %xmm2, %xmm1
+ mulsd %xmm0, %xmm0
+ paddd %xmm6, %xmm5
+ addpd %xmm7, %xmm3
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ mulpd %xmm3, %xmm0
+ addsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm3
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ shll $4, %eax
+ xorpd %xmm4, %xmm4
+ addl $16368, %eax
+ pinsrw $3, %eax, %xmm4
+ addsd %xmm1, %xmm0
+ movl 24(%esp), %esi
+ addsd %xmm3, %xmm0
+ movapd %xmm0, %xmm1
+ addsd %xmm5, %xmm0
+ mulsd %xmm4, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ je .L_2TAG_PACKET_16.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_18.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_8.0.2:
+ movsd 16(%esp), %xmm1
+ movsd 8(%esp), %xmm0
+ movapd %xmm0, %xmm2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_19.0.2
+ addsd %xmm0, %xmm0
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_20.0.2
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_20.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ movl $29, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_22.0.2:
+ movsd 16(%esp), %xmm0
+ addpd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_19.0.2:
+ movd %xmm1, %eax
+ movapd %xmm1, %xmm2
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_23.0.2
+ pextrw $3, %xmm2, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ jne .L_2TAG_PACKET_24.0.2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ jne .L_2TAG_PACKET_22.0.2
+.L_2TAG_PACKET_24.0.2:
+ pextrw $3, %xmm0, %eax
+ testl $32768, %eax
+ jne .L_2TAG_PACKET_25.0.2
+ testl $-2147483648, %ecx
+ jne .L_2TAG_PACKET_26.0.2
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_27.0.2:
+ movsd 16(%esp), %xmm1
+ movd %xmm1, %eax
+ testl $1, %eax
+ jne .L_2TAG_PACKET_28.0.2
+ testl $2, %eax
+ jne .L_2TAG_PACKET_29.0.2
+ jmp .L_2TAG_PACKET_28.0.2
+.L_2TAG_PACKET_25.0.2:
+ shrl $20, %ecx
+ andl $2047, %ecx
+ cmpl $1075, %ecx
+ ja .L_2TAG_PACKET_28.0.2
+ je .L_2TAG_PACKET_30.0.2
+ cmpl $1074, %ecx
+ ja .L_2TAG_PACKET_27.0.2
+ cmpl $1023, %ecx
+ jb .L_2TAG_PACKET_28.0.2
+ movsd 16(%esp), %xmm1
+ movl $17208, %eax
+ xorpd %xmm3, %xmm3
+ pinsrw $3, %eax, %xmm3
+ movapd %xmm3, %xmm4
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ jne .L_2TAG_PACKET_28.0.2
+ movd %xmm3, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_28.0.2
+.L_2TAG_PACKET_29.0.2:
+ movsd 16(%esp), %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32768, %eax
+ je .L_2TAG_PACKET_18.0.2
+ xorpd %xmm0, %xmm0
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_28.0.2:
+ movsd 16(%esp), %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32768, %eax
+ jne .L_2TAG_PACKET_26.0.2
+.L_2TAG_PACKET_31.0.2:
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_30.0.2:
+ movsd 16(%esp), %xmm1
+ movd %xmm1, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_28.0.2
+ jmp .L_2TAG_PACKET_29.0.2
+.L_2TAG_PACKET_32.0.2:
+ movd %xmm1, %eax
+ psrlq $20, %xmm1
+ movd %xmm1, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_33.0.2
+ movsd 16(%esp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_33.0.2:
+ movsd 8(%esp), %xmm0
+ pextrw $3, %xmm0, %eax
+ cmpl $49136, %eax
+ jne .L_2TAG_PACKET_34.0.2
+ movd %xmm0, %ecx
+ psrlq $20, %xmm0
+ movd %xmm0, %edx
+ orl %edx, %ecx
+ jne .L_2TAG_PACKET_34.0.2
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_34.0.2:
+ movsd 16(%esp), %xmm1
+ andl $32752, %eax
+ subl $16368, %eax
+ pextrw $3, %xmm1, %edx
+ xorpd %xmm0, %xmm0
+ xorl %edx, %eax
+ andl $32768, %eax
+ jne .L_2TAG_PACKET_18.0.2
+ movl $32752, %ecx
+ pinsrw $3, %ecx, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_35.0.2:
+ movd %xmm1, %eax
+ cmpl $17184, %edx
+ ja .L_2TAG_PACKET_36.0.2
+ testl $1, %eax
+ jne .L_2TAG_PACKET_37.0.2
+ testl $2, %eax
+ je .L_2TAG_PACKET_38.0.2
+ jmp .L_2TAG_PACKET_39.0.2
+.L_2TAG_PACKET_36.0.2:
+ testl $1, %eax
+ je .L_2TAG_PACKET_38.0.2
+ jmp .L_2TAG_PACKET_39.0.2
+.L_2TAG_PACKET_9.0.2:
+ movsd 8(%esp), %xmm2
+ movd %xmm2, %eax
+ psrlq $31, %xmm2
+ movd %xmm2, %ecx
+ orl %ecx, %eax
+ je .L_2TAG_PACKET_11.0.2
+ movsd 16(%esp), %xmm1
+ pextrw $3, %xmm1, %edx
+ movd %xmm1, %eax
+ movapd %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ addl %ecx, %ecx
+ orl %eax, %ecx
+ je .L_2TAG_PACKET_40.0.2
+ andl $32752, %edx
+ cmpl $32752, %edx
+ je .L_2TAG_PACKET_32.0.2
+ cmpl $17200, %edx
+ ja .L_2TAG_PACKET_38.0.2
+ cmpl $17184, %edx
+ jae .L_2TAG_PACKET_35.0.2
+ cmpl $16368, %edx
+ jb .L_2TAG_PACKET_37.0.2
+ movl $17208, %eax
+ xorpd %xmm2, %xmm2
+ pinsrw $3, %eax, %xmm2
+ movapd %xmm2, %xmm4
+ addsd %xmm1, %xmm2
+ subsd %xmm2, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32767, %eax
+ jne .L_2TAG_PACKET_37.0.2
+ movd %xmm2, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_38.0.2
+.L_2TAG_PACKET_39.0.2:
+ xorpd %xmm1, %xmm1
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm1
+ movsd 8256(%ebx), %xmm2
+ movsd 8(%esp), %xmm4
+ pextrw $3, %xmm4, %eax
+ movl $8192, %edx
+ movd %edx, %xmm4
+ andl $32767, %eax
+ subl $16, %eax
+ jl .L_2TAG_PACKET_12.0.2
+ movl %eax, %edx
+ andl $32752, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ movl $-2147483648, %esi
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_37.0.2:
+ xorpd %xmm1, %xmm1
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ xorpd %xmm0, %xmm0
+ mulsd %xmm1, %xmm0
+ movl $28, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_38.0.2:
+ xorpd %xmm1, %xmm1
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm1
+ movsd 8256(%ebx), %xmm2
+ movsd 8(%esp), %xmm4
+ pextrw $3, %xmm4, %eax
+ movl $8192, %edx
+ movd %edx, %xmm4
+ andl $32767, %eax
+ subl $16, %eax
+ jl .L_2TAG_PACKET_10.0.2
+ movl %eax, %edx
+ andl $32752, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ movl $0, %esi
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_23.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_26.0.2:
+ xorpd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_13.0.2:
+ addl $384, %eax
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_41.0.2
+ mulsd %xmm1, %xmm5
+ addsd %xmm7, %xmm0
+ shrl $31, %esi
+ addpd %xmm0, %xmm3
+ pshufd $238, %xmm3, %xmm0
+ addsd %xmm0, %xmm3
+ movsd 12528(%ebx,%esi,8), %xmm4
+ mulsd %xmm3, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ shll $15, %esi
+ orl %esi, %eax
+ pinsrw $3, %eax, %xmm0
+ addsd %xmm1, %xmm5
+ movl 24(%esp), %esi
+ mulsd %xmm4, %xmm5
+ addsd %xmm5, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_41.0.2:
+ movl 24(%esp), %esi
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_40.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_42.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ movl $26, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_11.0.2:
+ movsd 16(%esp), %xmm1
+ movapd %xmm1, %xmm2
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ jne .L_2TAG_PACKET_43.0.2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ jne .L_2TAG_PACKET_22.0.2
+.L_2TAG_PACKET_43.0.2:
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_42.0.2
+ shrl $21, %edx
+ cmpl $1075, %edx
+ ja .L_2TAG_PACKET_44.0.2
+ je .L_2TAG_PACKET_45.0.2
+ cmpl $1023, %edx
+ jb .L_2TAG_PACKET_44.0.2
+ movsd 16(%esp), %xmm1
+ movl $17208, %eax
+ xorpd %xmm3, %xmm3
+ pinsrw $3, %eax, %xmm3
+ movapd %xmm3, %xmm4
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ jne .L_2TAG_PACKET_44.0.2
+ movd %xmm3, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_44.0.2
+.L_2TAG_PACKET_46.0.2:
+ movsd 8(%esp), %xmm0
+ testl $-2147483648, %ecx
+ jne .L_2TAG_PACKET_47.0.2
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_45.0.2:
+ movsd 16(%esp), %xmm1
+ movd %xmm1, %eax
+ testl $1, %eax
+ jne .L_2TAG_PACKET_46.0.2
+.L_2TAG_PACKET_44.0.2:
+ testl $-2147483648, %ecx
+ je .L_2TAG_PACKET_26.0.2
+ xorpd %xmm0, %xmm0
+.L_2TAG_PACKET_47.0.2:
+ movl $16368, %eax
+ xorpd %xmm1, %xmm1
+ pinsrw $3, %eax, %xmm1
+ divsd %xmm0, %xmm1
+ movapd %xmm1, %xmm0
+ movl $27, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_14.0.2:
+ movsd 8(%esp), %xmm2
+ movsd 16(%esp), %xmm6
+ pextrw $3, %xmm2, %eax
+ pextrw $3, %xmm6, %edx
+ movl $32752, %ecx
+ andl %edx, %ecx
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_48.0.2
+ andl $32752, %eax
+ subl $16368, %eax
+ xorl %eax, %edx
+ testl $32768, %edx
+ jne .L_2TAG_PACKET_49.0.2
+.L_2TAG_PACKET_50.0.2:
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ shrl $16, %esi
+ orl %esi, %eax
+ pinsrw $3, %eax, %xmm1
+ movl 24(%esp), %esi
+ mulsd %xmm1, %xmm0
+.L_2TAG_PACKET_17.0.2:
+ movl $24, %edx
+.L_2TAG_PACKET_21.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_49.0.2:
+ movl $16, %eax
+ pinsrw $3, %eax, %xmm0
+ mulsd %xmm0, %xmm0
+ testl $-2147483648, %esi
+ je .L_2TAG_PACKET_51.0.2
+ movsd 12560(%ebx), %xmm2
+ xorpd %xmm2, %xmm0
+.L_2TAG_PACKET_51.0.2:
+ movl 24(%esp), %esi
+ movl $25, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_16.0.2:
+ pextrw $3, %xmm5, %ecx
+ pextrw $3, %xmm4, %edx
+ movl $-1, %eax
+ andl $32752, %ecx
+ subl $16368, %ecx
+ andl $32752, %edx
+ addl %ecx, %edx
+ movl $-31, %ecx
+ sarl $4, %edx
+ subl %edx, %ecx
+ jle .L_2TAG_PACKET_52.0.2
+ cmpl $20, %ecx
+ ja .L_2TAG_PACKET_53.0.2
+ shll %cl, %eax
+.L_2TAG_PACKET_52.0.2:
+ movd %eax, %xmm0
+ psllq $32, %xmm0
+ andpd %xmm5, %xmm0
+ subsd %xmm0, %xmm5
+ addsd %xmm1, %xmm5
+ mulsd %xmm4, %xmm0
+ mulsd %xmm4, %xmm5
+ addsd %xmm5, %xmm0
+.L_2TAG_PACKET_53.0.2:
+ movl $25, %edx
+ jmp .L_2TAG_PACKET_21.0.2
+.L_2TAG_PACKET_2.0.2:
+ movzwl 22(%esp), %ecx
+ movl $-2147483648, %edx
+ movd %edx, %xmm1
+ xorpd %xmm7, %xmm7
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ paddq %xmm3, %xmm1
+ andpd %xmm1, %xmm5
+ andl $32752, %ecx
+ cmpl $16560, %ecx
+ jb .L_2TAG_PACKET_3.0.2
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ addl $16351, %eax
+ shrl $4, %eax
+ subl $1022, %eax
+ cvtsi2sdl %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ movsd (%ebx), %xmm4
+ mulsd %xmm0, %xmm3
+ movsd (%ebx), %xmm6
+ subsd %xmm2, %xmm5
+ movsd 8(%ebx), %xmm1
+ pshufd $68, %xmm3, %xmm2
+ unpcklpd %xmm3, %xmm5
+ addsd %xmm5, %xmm3
+ movsd 8(%ebx), %xmm0
+ andl $16760832, %edx
+ shrl $10, %edx
+ addpd -3616(%ebx,%edx), %xmm7
+ mulsd %xmm5, %xmm4
+ mulsd %xmm5, %xmm0
+ mulsd %xmm2, %xmm6
+ mulsd %xmm2, %xmm1
+ movapd %xmm5, %xmm2
+ mulsd %xmm5, %xmm4
+ addsd %xmm0, %xmm5
+ movapd %xmm7, %xmm0
+ addsd %xmm3, %xmm2
+ addsd %xmm5, %xmm7
+ mulsd %xmm2, %xmm6
+ subsd %xmm7, %xmm0
+ movapd %xmm7, %xmm2
+ addsd %xmm4, %xmm7
+ addsd %xmm5, %xmm0
+ subsd %xmm7, %xmm2
+ addsd %xmm2, %xmm4
+ pshufd $238, %xmm5, %xmm2
+ movapd %xmm7, %xmm5
+ addsd %xmm2, %xmm7
+ addsd %xmm0, %xmm4
+ movapd 8272(%ebx), %xmm0
+ subsd %xmm7, %xmm5
+ addsd %xmm4, %xmm6
+ movapd %xmm7, %xmm4
+ addsd %xmm2, %xmm5
+ addsd %xmm1, %xmm7
+ movapd 8336(%ebx), %xmm2
+ subsd %xmm7, %xmm4
+ addsd %xmm5, %xmm6
+ addsd %xmm1, %xmm4
+ pshufd $238, %xmm7, %xmm5
+ movapd %xmm7, %xmm1
+ addsd %xmm5, %xmm7
+ subsd %xmm7, %xmm1
+ addsd %xmm5, %xmm1
+ movapd 8352(%ebx), %xmm5
+ pshufd $68, %xmm3, %xmm3
+ addsd %xmm4, %xmm6
+ addsd %xmm1, %xmm6
+ movapd 8304(%ebx), %xmm1
+ mulpd %xmm3, %xmm0
+ mulpd %xmm3, %xmm2
+ pshufd $68, %xmm3, %xmm4
+ mulpd %xmm3, %xmm3
+ addpd %xmm1, %xmm0
+ addpd %xmm2, %xmm5
+ mulsd %xmm3, %xmm4
+ movsd 16(%ebx), %xmm2
+ mulpd %xmm3, %xmm3
+ movsd 16(%esp), %xmm1
+ movzwl 22(%esp), %ecx
+ mulpd %xmm4, %xmm0
+ pextrw $3, %xmm7, %eax
+ mulpd %xmm4, %xmm5
+ mulpd %xmm3, %xmm0
+ movsd 8376(%ebx), %xmm4
+ andpd %xmm7, %xmm2
+ addsd %xmm6, %xmm5
+ subsd %xmm2, %xmm7
+ addpd %xmm0, %xmm5
+ andl $32752, %eax
+ subl $16368, %eax
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_48.0.2
+ addl %eax, %ecx
+ cmpl $16576, %ecx
+ jae .L_2TAG_PACKET_54.0.2
+ pshufd $238, %xmm5, %xmm0
+ andpd %xmm1, %xmm4
+ movapd %xmm1, %xmm3
+ addsd %xmm0, %xmm5
+ subsd %xmm4, %xmm1
+ xorpd %xmm6, %xmm6
+ movl $17080, %edx
+ pinsrw $3, %edx, %xmm6
+ addsd %xmm5, %xmm7
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm1
+ movapd %xmm6, %xmm5
+ mulsd %xmm7, %xmm3
+ addsd %xmm4, %xmm6
+ addsd %xmm3, %xmm1
+ movapd 12480(%ebx), %xmm7
+ movd %xmm6, %edx
+ subsd %xmm5, %xmm6
+ movapd 12496(%ebx), %xmm3
+ movsd 12512(%ebx), %xmm2
+ subsd %xmm6, %xmm4
+ movl %edx, %ecx
+ andl $255, %edx
+ addl %edx, %edx
+ movapd 8384(%ebx,%edx,8), %xmm5
+ addsd %xmm1, %xmm4
+ pextrw $3, %xmm6, %edx
+ shrl $8, %ecx
+ movl %ecx, %eax
+ shrl $1, %ecx
+ subl %ecx, %eax
+ shll $20, %ecx
+ movd %ecx, %xmm6
+ pshufd $68, %xmm4, %xmm0
+ pshufd $68, %xmm4, %xmm1
+ mulpd %xmm0, %xmm0
+ mulpd %xmm1, %xmm7
+ pshufd $17, %xmm6, %xmm6
+ mulsd %xmm4, %xmm2
+ andl $32767, %edx
+ cmpl $16529, %edx
+ ja .L_2TAG_PACKET_14.0.2
+ mulsd %xmm0, %xmm0
+ paddd %xmm6, %xmm5
+ addpd %xmm7, %xmm3
+ mulsd %xmm5, %xmm2
+ pshufd $238, %xmm5, %xmm6
+ mulpd %xmm3, %xmm0
+ addsd %xmm6, %xmm2
+ pshufd $238, %xmm0, %xmm3
+ addl $1023, %eax
+ shll $20, %eax
+ orl %esi, %eax
+ movd %eax, %xmm4
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ addsd %xmm2, %xmm0
+ psllq $32, %xmm4
+ addsd %xmm3, %xmm0
+ movapd %xmm0, %xmm1
+ addsd %xmm5, %xmm0
+ movl 24(%esp), %esi
+ mulsd %xmm4, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ je .L_2TAG_PACKET_16.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_55.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_48.0.2:
+ movl 24(%esp), %esi
+.L_2TAG_PACKET_56.0.2:
+ movsd 8(%esp), %xmm0
+ movsd 16(%esp), %xmm1
+ addsd %xmm1, %xmm1
+ xorpd %xmm2, %xmm2
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm2
+ addsd %xmm0, %xmm2
+ pextrw $3, %xmm2, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_18.0.2
+ movd %xmm1, %edx
+ movapd %xmm1, %xmm3
+ psrlq $20, %xmm3
+ movd %xmm3, %ecx
+ orl %edx, %ecx
+ je .L_2TAG_PACKET_57.0.2
+ addsd %xmm1, %xmm1
+ movapd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_57.0.2:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ pextrw $3, %xmm1, %edx
+ xorpd %xmm0, %xmm0
+ subl $16368, %eax
+ xorl %edx, %eax
+ testl $32768, %eax
+ jne .L_2TAG_PACKET_18.0.2
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm0
+ jmp .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_54.0.2:
+ pextrw $3, %xmm1, %eax
+ pextrw $3, %xmm2, %ecx
+ xorl %ecx, %eax
+ testl $32768, %eax
+ je .L_2TAG_PACKET_50.0.2
+ jmp .L_2TAG_PACKET_49.0.2
+.L_2TAG_PACKET_6.0.2:
+ movl 64(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(pow)
+# -- End pow
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 3218479616
+ .long 0
+ .long 3210587105
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 4294965248
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 536870912
+ .long 1072689162
+ .long 2523013013
+ .long 1046157398
+ .long 3758096384
+ .long 1072685081
+ .long 3851513758
+ .long 3190968952
+ .long 0
+ .long 1072681007
+ .long 2241466466
+ .long 1046044599
+ .long 3221225472
+ .long 1072676937
+ .long 2990928271
+ .long 3193084984
+ .long 3758096384
+ .long 1072672873
+ .long 2905112743
+ .long 3192918576
+ .long 1610612736
+ .long 1072668815
+ .long 3370591264
+ .long 1046051793
+ .long 2147483648
+ .long 1072664762
+ .long 3272361216
+ .long 3193793653
+ .long 3758096384
+ .long 1072660714
+ .long 46546755
+ .long 1043206936
+ .long 3221225472
+ .long 1072656672
+ .long 3017067724
+ .long 3192177962
+ .long 0
+ .long 1072652636
+ .long 3688436631
+ .long 3192814956
+ .long 2684354560
+ .long 1072648604
+ .long 1707461992
+ .long 3193056712
+ .long 2684354560
+ .long 1072644578
+ .long 1188114540
+ .long 3193603086
+ .long 3758096384
+ .long 1072640557
+ .long 3533180564
+ .long 1045459375
+ .long 2684354560
+ .long 1072636542
+ .long 2000337630
+ .long 3193475557
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+ .long 2722920684
+ .long 1014803418
+ .long 1892288442
+ .long 1073324273
+ .long 2446255666
+ .long 3163648957
+ .long 1297350157
+ .long 1073328827
+ .long 1308022040
+ .long 3164461134
+ .long 2191782032
+ .long 1073333393
+ .long 2960257726
+ .long 1014791238
+ .long 424392917
+ .long 1073337972
+ .long 2749202995
+ .long 3163887294
+ .long 434316067
+ .long 1073342563
+ .long 2028358766
+ .long 1014506698
+ .long 2366108318
+ .long 1073347166
+ .long 2867985102
+ .long 3162810830
+ .long 2069751141
+ .long 1073351782
+ .long 1562170675
+ .long 3163773257
+ .long 3985553595
+ .long 1073356410
+ .long 4002146062
+ .long 1016882712
+ .long 3964284211
+ .long 1073361051
+ .long 2111583915
+ .long 1016475740
+ .long 2152073944
+ .long 1073365705
+ .long 1486860576
+ .long 3164252032
+ .long 2990417245
+ .long 1073370371
+ .long 3683467745
+ .long 3164417902
+ .long 2331271250
+ .long 1073375050
+ .long 812057446
+ .long 1013256022
+ .long 321958744
+ .long 1073379742
+ .long 3401933767
+ .long 1016843134
+ .long 1405169241
+ .long 1073384446
+ .long 2998539689
+ .long 3163879527
+ .long 1434058175
+ .long 1073389163
+ .long 251133233
+ .long 1016134345
+ .long 557149882
+ .long 1073393893
+ .long 3672720709
+ .long 1015585841
+ .long 3218338682
+ .long 1073398635
+ .long 3404164304
+ .long 3163525684
+ .long 977020788
+ .long 1073403391
+ .long 3065100517
+ .long 1016590139
+ .long 2572866477
+ .long 1073408159
+ .long 878562433
+ .long 1016570317
+ .long 3861050111
+ .long 1073412940
+ .long 254893773
+ .long 3163861756
+ .long 697153126
+ .long 1073417735
+ .long 1283515429
+ .long 3164331765
+ .long 1822067026
+ .long 1073422542
+ .long 1241994956
+ .long 1016388866
+ .long 3092190715
+ .long 1073427362
+ .long 814012168
+ .long 3160571998
+ .long 364333489
+ .long 1073432196
+ .long 3923737744
+ .long 3162469949
+ .long 2380618042
+ .long 1073437042
+ .long 3149557219
+ .long 3164369375
+ .long 703710506
+ .long 1073441902
+ .long 1384660846
+ .long 1016244467
+ .long 4076559943
+ .long 1073446774
+ .long 2119478331
+ .long 3161806927
+ .long 4062661092
+ .long 1073451660
+ .long 1422616006
+ .long 3164303894
+ .long 815859274
+ .long 1073456560
+ .long 240396590
+ .long 3164536019
+ .long 3080351519
+ .long 1073461472
+ .long 3379126789
+ .long 3158266577
+ .long 2420883922
+ .long 1073466398
+ .long 2049810052
+ .long 1015168464
+ .long 3287523847
+ .long 1073471337
+ .long 1625971539
+ .long 3158058531
+ .long 1540824585
+ .long 1073476290
+ .long 1064017011
+ .long 3164536266
+ .long 1631695677
+ .long 1073481256
+ .long 2717633076
+ .long 3163392602
+ .long 3716502172
+ .long 1073486235
+ .long 2303740125
+ .long 1015091301
+ .long 3657065772
+ .long 1073491228
+ .long 399025623
+ .long 3164005654
+ .long 1610600570
+ .long 1073496235
+ .long 3766732298
+ .long 1016808759
+ .long 2029714210
+ .long 1073501255
+ .long 613660079
+ .long 1016147719
+ .long 777507147
+ .long 1073506289
+ .long 4282924205
+ .long 1016236109
+ .long 2307442995
+ .long 1073511336
+ .long 3190117721
+ .long 3163453115
+ .long 2483480501
+ .long 1073516397
+ .long 1216371780
+ .long 1014082748
+ .long 1464976603
+ .long 1073521472
+ .long 3507292405
+ .long 3163026110
+ .long 3706687593
+ .long 1073526560
+ .long 3521726939
+ .long 1014301643
+ .long 778901109
+ .long 1073531663
+ .long 2248183954
+ .long 3162317327
+ .long 1432208378
+ .long 1073536779
+ .long 1401068914
+ .long 3163412539
+ .long 1532734324
+ .long 1073541909
+ .long 3094216535
+ .long 3164211433
+ .long 1242007932
+ .long 1073547053
+ .long 1132034716
+ .long 3164388407
+ .long 721996136
+ .long 1073552211
+ .long 563754734
+ .long 1016419894
+ .long 135105010
+ .long 1073557383
+ .long 1906148728
+ .long 3164424315
+ .long 3939148246
+ .long 1073562568
+ .long 3210352148
+ .long 1016322899
+ .long 3707479175
+ .long 1073567768
+ .long 3613079303
+ .long 1015213314
+ .long 3898795731
+ .long 1073572982
+ .long 1249994144
+ .long 1012918394
+ .long 382305176
+ .long 1073578211
+ .long 2347622376
+ .long 3163627201
+ .long 1912561781
+ .long 1073583453
+ .long 3147495102
+ .long 1016726829
+ .long 64696965
+ .long 1073588710
+ .long 1768797490
+ .long 1016865536
+ .long 3594158869
+ .long 1073593980
+ .long 2456521700
+ .long 3164305137
+ .long 4076975200
+ .long 1073599265
+ .long 2029000899
+ .long 1016257111
+ .long 1679558232
+ .long 1073604565
+ .long 2390342287
+ .long 3164382546
+ .long 863738719
+ .long 1073609879
+ .long 1326992220
+ .long 3163661773
+ .long 1796832535
+ .long 1073615207
+ .long 3176955716
+ .long 3161634089
+ .long 351641897
+ .long 1073620550
+ .long 2172261526
+ .long 3164059175
+ .long 991358482
+ .long 1073625907
+ .long 838715019
+ .long 3164206244
+ .long 3884662774
+ .long 1073631278
+ .long 2158611599
+ .long 1015258761
+ .long 610758006
+ .long 1073636665
+ .long 1965209397
+ .long 3162914808
+ .long 4224142467
+ .long 1073642065
+ .long 3389820386
+ .long 1016255778
+ .long 2009970496
+ .long 1073647481
+ .long 2159039665
+ .long 3163621524
+ .long 2728693978
+ .long 1073652911
+ .long 396109971
+ .long 3164511267
+ .long 2256325230
+ .long 1073658356
+ .long 580117746
+ .long 1016365871
+ .long 764307441
+ .long 1073663816
+ .long 3021057420
+ .long 3164378099
+ .long 2719515920
+ .long 1073669290
+ .long 2760332941
+ .long 1016186509
+ .long 3999357479
+ .long 1073674779
+ .long 2258941616
+ .long 1016973300
+ .long 481706282
+ .long 1073680284
+ .long 1696079173
+ .long 3163759104
+ .long 929806999
+ .long 1073685803
+ .long 3205336643
+ .long 1016308133
+ .long 1222472308
+ .long 1073691337
+ .long 1054357470
+ .long 3162069594
+ .long 1533953344
+ .long 1073696886
+ .long 769171851
+ .long 1016714209
+ .long 2038973688
+ .long 1073702450
+ .long 892941374
+ .long 1017095035
+ .long 2912730644
+ .long 1073708029
+ .long 3490067722
+ .long 3164453650
+ .long 35929225
+ .long 1073713624
+ .long 2809788041
+ .long 3160485544
+ .long 2174652632
+ .long 1073719233
+ .long 4087714590
+ .long 1015498835
+ .long 915592468
+ .long 1073724858
+ .long 352947894
+ .long 3162072947
+ .long 730821105
+ .long 1073730498
+ .long 2523232743
+ .long 1013115764
+ .long 1797923801
+ .long 1073736153
+ .long 1950547427
+ .long 1014277635
+ .long 3884607281
+ .long 1062590591
+ .long 3607404736
+ .long 1068264200
+ .long 1874480759
+ .long 1065595563
+ .long 4286760335
+ .long 1070514109
+ .long 4277811695
+ .long 1072049730
+ .long 0
+ .long 0
+ .long 4277811695
+ .long 1072049730
+ .long 4277811695
+ .long 3219533378
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .type static_const_table,@object
+ .size static_const_table,12576
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/e_sinh.S b/libm/x86/e_sinh.S
new file mode 100644
index 0000000..d6b04b5
--- /dev/null
+++ b/libm/x86/e_sinh.S
@@ -0,0 +1,1407 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// sinh(x)=(exp(x)-exp(-x))/2
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7),
+// f=0.b1 b2 ... b7, k integer
+// 2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f]
+// Tp stores the high 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision
+//
+// e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14},
+// for |x| in [23/64,3*2^7)
+// e^{-|x|}=2^{-k-f}*2^{-r}
+//
+// e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp=
+// =2^k*Tp+2^k*Tp*P15+2^k*Dp
+// e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4)+2^{-k}*Dn
+//
+// For |x| in [1/8, 3*2^7), sinh(x) is formed as
+// RN(2^k*Tp-2^{-k}*Tn)+2^k*Tp*P15-2^{-k}*Tn*P`15-2^{-k}*TnL-2^{-k}*Dn+2^k*Dp
+//
+// For x in (3*2^7, 3*2^8), sign(x)*(e^|x|)/2 is returned, and
+// the result is checked for overflow.
+//
+// For |x|<23/64, a Taylor polynomial expansion is used (degree 13)
+// To reduce rounding errors, the p3*x^3 term is computed as
+// (p3*xh^3)_high+[(p3*xl*(3*x*xh+xl^2))+(p3*xh^3)_low],
+// where x=xh+xl, (xh are the leading 17 bits of x), and
+// (p3*xh^3)_high=RN(x+p3*xh^3)-x
+// (error bound for polynomial expansion is below 0.51 ulp)
+//
+// Special cases:
+// sinh(NaN) = quiet NaN, and raise invalid exception
+// sinh(+/-INF) = +/-INF
+// sinh(x) = x for subnormals
+// for finite argument, only sinh(0)=0 is exact
+// For IEEE double
+// sinh(x) overflows for x >
+// 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin sinh
+ENTRY(sinh)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ movsd 4272(%ebx), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd 4192(%ebx), %xmm1
+ movsd 4200(%ebx), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd 4096(%ebx), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ movl $32768, %edx
+ andl %ecx, %edx
+ andl $32767, %ecx
+ subl $16343, %ecx
+ cmpl $177, %ecx
+ jae .L_2TAG_PACKET_0.0.2
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ shll $3, %edx
+ orl %edx, %eax
+ movapd %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ xorpd %xmm5, %xmm5
+ subsd %xmm6, %xmm3
+ movapd 4112(%ebx), %xmm4
+ addsd %xmm1, %xmm2
+ movapd 4128(%ebx), %xmm6
+ subsd %xmm3, %xmm7
+ movl $32704, %edx
+ pinsrw $3, %edx, %xmm5
+ movapd 4144(%ebx), %xmm1
+ addsd %xmm7, %xmm2
+ movl $127, %edx
+ andl %eax, %edx
+ addl %edx, %edx
+ shrl $3, %eax
+ andl $65520, %eax
+ addl $16352, %eax
+ xorpd %xmm0, %xmm0
+ cmpl $161, %ecx
+ jae .L_2TAG_PACKET_1.0.2
+ pshufd $68, %xmm5, %xmm5
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ psubw %xmm0, %xmm5
+ mulpd (%ebx,%edx,8), %xmm0
+ mulpd 2048(%ebx,%edx,8), %xmm5
+ pshufd $68, %xmm2, %xmm3
+ movapd 4160(%ebx), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ mulpd %xmm3, %xmm3
+ mulpd %xmm2, %xmm4
+ mulpd %xmm2, %xmm6
+ mulpd 4176(%ebx), %xmm2
+ mulpd %xmm3, %xmm1
+ mulpd %xmm3, %xmm7
+ mulpd %xmm3, %xmm4
+ mulpd %xmm3, %xmm1
+ addpd %xmm7, %xmm6
+ movapd %xmm0, %xmm7
+ addpd %xmm1, %xmm4
+ shufpd $0, %xmm5, %xmm7
+ subpd %xmm5, %xmm0
+ mulpd %xmm7, %xmm2
+ addpd %xmm6, %xmm4
+ subsd %xmm0, %xmm7
+ mulpd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ subsd %xmm5, %xmm7
+ addpd %xmm2, %xmm4
+ addsd %xmm6, %xmm7
+ pshufd $238, %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_1.0.2:
+ subl $16352, %eax
+ movl %eax, %ecx
+ andl $32752, %eax
+ shrl $1, %eax
+ andl $65520, %eax
+ subl %eax, %ecx
+ addl $16352, %eax
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ mulpd (%ebx,%edx,8), %xmm0
+ pshufd $68, %xmm2, %xmm3
+ movsd 4160(%ebx), %xmm7
+ mulsd %xmm3, %xmm3
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd 4176(%ebx), %xmm2
+ mulsd %xmm3, %xmm1
+ mulsd %xmm3, %xmm7
+ mulsd %xmm3, %xmm4
+ addl $16368, %ecx
+ pinsrw $3, %ecx, %xmm5
+ mulsd %xmm3, %xmm1
+ addsd %xmm7, %xmm6
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ addsd %xmm6, %xmm4
+ mulsd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm6, %xmm4
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm5, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ movl $127, %edx
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_3.0.2
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_0.0.2:
+ addl $16343, %ecx
+ cmpl $16343, %ecx
+ ja .L_2TAG_PACKET_4.0.2
+ cmpl $15856, %ecx
+ jb .L_2TAG_PACKET_5.0.2
+ movapd 4208(%ebx), %xmm1
+ pshufd $68, %xmm0, %xmm6
+ mulpd %xmm5, %xmm5
+ movapd 4224(%ebx), %xmm2
+ pshufd $68, %xmm0, %xmm7
+ movapd 4240(%ebx), %xmm3
+ pshufd $68, %xmm0, %xmm4
+ andpd 4256(%ebx), %xmm6
+ mulpd %xmm5, %xmm1
+ mulsd %xmm5, %xmm2
+ subpd %xmm6, %xmm4
+ mulpd %xmm5, %xmm7
+ addpd %xmm3, %xmm1
+ pshufd $68, %xmm6, %xmm3
+ mulpd %xmm5, %xmm5
+ mulsd %xmm7, %xmm2
+ mulpd %xmm7, %xmm1
+ pshufd $68, %xmm0, %xmm7
+ mulsd %xmm6, %xmm6
+ addsd %xmm7, %xmm7
+ mulsd %xmm4, %xmm4
+ mulpd %xmm5, %xmm1
+ addsd %xmm0, %xmm7
+ mulsd %xmm3, %xmm6
+ mulsd %xmm3, %xmm7
+ pshufd $238, %xmm1, %xmm3
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm2, %xmm3
+ pshufd $238, %xmm2, %xmm2
+ addsd %xmm4, %xmm7
+ movapd %xmm0, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd %xmm5, %xmm7
+ addsd %xmm6, %xmm0
+ mulsd %xmm2, %xmm7
+ subsd %xmm0, %xmm4
+ addsd %xmm7, %xmm1
+ addsd %xmm4, %xmm6
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_5.0.2:
+ cmpl $16, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ movapd %xmm0, %xmm1
+ mulsd %xmm1, %xmm1
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm2, %xmm2
+ movl $17392, %ecx
+ pinsrw $3, %ecx, %xmm2
+ xorpd %xmm3, %xmm3
+ movl $15344, %edx
+ pinsrw $3, %edx, %xmm3
+ mulsd %xmm0, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm3, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_4.0.2:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_7.0.2
+ xorpd %xmm0, %xmm0
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ orl %edx, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ movl $127, %edx
+.L_2TAG_PACKET_3.0.2:
+ movsd %xmm0, (%esp)
+ movsd 112(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm1
+ andnpd %xmm0, %xmm1
+ mulsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_2.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_8.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(sinh)
+# -- End sinh
+
+# Start file scope ASM
+ALIAS_SYMBOL(sinhl, sinh);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 2851812149
+ .long 1072698941
+ .long 2595802551
+ .long 1016815913
+ .long 1048019041
+ .long 1072704666
+ .long 1398474845
+ .long 3161559171
+ .long 3899555717
+ .long 1072710421
+ .long 427280750
+ .long 3163595548
+ .long 3541402996
+ .long 1072716208
+ .long 2759177317
+ .long 1015903202
+ .long 702412510
+ .long 1072722027
+ .long 3803266087
+ .long 3163328991
+ .long 410360776
+ .long 1072727877
+ .long 1269990655
+ .long 1013024446
+ .long 3402036099
+ .long 1072733758
+ .long 405889334
+ .long 1016154232
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+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .long 3607404736
+ .long 1044146952
+ .long 3607404736
+ .long 3191630600
+ .long 4277811695
+ .long 1063661122
+ .long 4277811695
+ .long 3211144770
+ .long 2140175755
+ .long 1033864261
+ .long 2140175755
+ .long 1033864261
+ .long 4289495988
+ .long 1054113747
+ .long 4289495988
+ .long 1054113747
+ .long 4277811695
+ .long 1064709698
+ .long 4277811695
+ .long 1064709698
+ .long 1610612736
+ .long 1080497479
+ .long 4166901572
+ .long 1053077003
+ .long 329805064
+ .long 1038488134
+ .long 2773927730
+ .long 1053236707
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1069897045
+ .long 1744127201
+ .long 1046144581
+ .long 436314137
+ .long 1059717536
+ .long 0
+ .long 4294967280
+ .long 0
+ .long 4294967280
+ .long 4160749568
+ .long 2147483647
+ .type static_const_table,@object
+ .size static_const_table,4280
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/floor.S b/libm/x86/floor.S
new file mode 100644
index 0000000..b859736
--- /dev/null
+++ b/libm/x86/floor.S
@@ -0,0 +1,43 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(floor)
+ mov %esp,%eax
+ and $0xfffffff8,%eax
+ movsd 0x4(%esp),%xmm0
+ roundsd $0x1,%xmm0,%xmm0
+ movlpd %xmm0,-0x8(%eax)
+ fldl -0x8(%eax)
+ ret
+END(floor)
+
+ALIAS_SYMBOL(floorl, floor);
diff --git a/libm/x86/floorf.S b/libm/x86/floorf.S
new file mode 100644
index 0000000..79b9073
--- /dev/null
+++ b/libm/x86/floorf.S
@@ -0,0 +1,39 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(floorf)
+ movss 0x4(%esp),%xmm0
+ roundss $0x1,%xmm0,%xmm0
+ movss %xmm0,-0x4(%esp)
+ flds -0x4(%esp)
+ ret
+END(floorf)
diff --git a/libm/x86/libm_reduce_pi04l.S b/libm/x86/libm_reduce_pi04l.S
new file mode 100644
index 0000000..af6a7d0
--- /dev/null
+++ b/libm/x86/libm_reduce_pi04l.S
@@ -0,0 +1,3718 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+# -- Begin __libm_reduce_pi04l
+ .text
+ .align 16,0x90
+ .hidden __libm_reduce_pi04l
+ .globl __libm_reduce_pi04l
+__libm_reduce_pi04l:
+# parameter 1: 8 + %ebp
+# parameter 2: 20 + %ebp
+# parameter 3: 24 + %ebp
+..B1.1:
+ pushl %ebp
+ movl %esp, %ebp
+ andl $-16, %esp
+ pushl %esi
+ pushl %edi
+ pushl %ebx
+ subl $20, %esp
+ movzwl 16(%ebp), %ebx
+ andl $32767, %ebx
+ movl 20(%ebp), %eax
+ cmpl $16413, %ebx
+ movl 24(%ebp), %esi
+ call ..L2
+..L2:
+ popl %edi
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%edi), %edi
+ movl %eax, 4(%esp)
+ jge ..B1.8
+..B1.2:
+ fldt 8(%ebp)
+ fldl __4onpi_d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fstpt 8(%esp)
+ movzwl 16(%esp), %ecx
+ negl %ecx
+ addl $30, %ecx
+ movl 12(%esp), %eax
+ shrl %cl, %eax
+ cmpl $0, 4(%esp)
+ jne ..B1.4
+..B1.3:
+ lea 1(%eax), %ecx
+ andl $-2, %ecx
+ jmp ..B1.5
+..B1.4:
+ movl %eax, %ecx
+ addl 4(%esp), %eax
+ movl %eax, %edx
+ andl $1, %edx
+ addl %edx, %ecx
+..B1.5:
+ fldl _TWO_32H@GOTOFF(%edi)
+ cmpl $16400, %ebx
+ movl %ecx, (%esp)
+ fildl (%esp)
+ jge ..B1.7
+..B1.6:
+ fldl _pi04_3d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fsubrp %st, %st(3)
+ fxch %st(1)
+ fmul %st(2), %st
+ fld %st(2)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fld %st(0)
+ fxch %st(1)
+ fsubr %st, %st(3)
+ fldl 8+_pi04_3d@GOTOFF(%edi)
+ fmul %st(3), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsub %st(2), %st
+ fsubp %st, %st(1)
+ faddp %st, %st(3)
+ fldl 16+_pi04_3d@GOTOFF(%edi)
+ fmulp %st, %st(2)
+ fld %st(1)
+ fsubr %st(1), %st
+ fsubr %st, %st(1)
+ fxch %st(2)
+ fsubrp %st, %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ jmp ..B1.15
+..B1.7:
+ fldl _pi04_5d@GOTOFF(%edi)
+ fmul %st(1), %st
+ fsubrp %st, %st(3)
+ fxch %st(1)
+ fmul %st(2), %st
+ fld %st(2)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fld %st(0)
+ fxch %st(1)
+ fsubr %st, %st(3)
+ fldl 8+_pi04_5d@GOTOFF(%edi)
+ fmul %st(3), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsub %st(2), %st
+ fsubp %st, %st(1)
+ faddp %st, %st(3)
+ fldl 16+_pi04_5d@GOTOFF(%edi)
+ fmul %st(2), %st
+ fld %st(0)
+ fsubr %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsubrp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fldl 24+_pi04_5d@GOTOFF(%edi)
+ fmul %st(2), %st
+ fld %st(0)
+ fsubr %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ fsubrp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fldl 32+_pi04_5d@GOTOFF(%edi)
+ fmulp %st, %st(2)
+ fld %st(1)
+ fsubr %st(1), %st
+ fsubr %st, %st(1)
+ fxch %st(2)
+ fsubrp %st, %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ jmp ..B1.15
+..B1.8:
+ fldt 8(%ebp)
+ addl $-16417, %ebx
+ fmull _SCALE@GOTOFF(%edi)
+ movl $-2078209981, %eax
+ imull %ebx
+ addl %ebx, %edx
+ movl %ebx, %ecx
+ sarl $4, %edx
+ sarl $31, %ecx
+ subl %ecx, %edx
+ movl %edx, %eax
+ shll $5, %eax
+ fstpt 8(%ebp)
+ fldt 8(%ebp)
+ subl %edx, %eax
+ movl $0, 8(%ebp)
+ subl %eax, %ebx
+ fldt 8(%ebp)
+ cmpl $17, %ebx
+ fsubr %st, %st(1)
+ jl ..B1.10
+..B1.9:
+ lea (,%edx,8), %eax
+ lea (%eax,%edx,4), %ecx
+ incl %edx
+ fldt __4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st(2), %st
+ fldt 12+__4onpi_31l@GOTOFF(%edi,%ecx)
+ fmul %st(2), %st
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(1)
+ fadd %st(1), %st
+ fstpt 8(%esp)
+ andl $-16777216, 8(%esp)
+ fldt 8(%esp)
+ fsubrp %st, %st(1)
+ jmp ..B1.11
+..B1.10:
+ fldl _zeros@GOTOFF(%edi)
+ fld %st(0)
+..B1.11:
+ fld %st(0)
+ lea (,%edx,8), %eax
+ fld %st(3)
+ lea (%eax,%edx,4), %edx
+ fldt __4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st(6), %st
+ movl %edx, (%esp)
+ fadd %st, %st(2)
+ fxch %st(2)
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fldt 12+__4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st, %st(2)
+ fld %st(2)
+ fadd %st(2), %st
+ fld %st(0)
+ fxch %st(1)
+ fsub %st, %st(3)
+ fxch %st(3)
+ fchs
+ faddp %st, %st(4)
+ fxch %st(3)
+ faddp %st, %st(4)
+ fxch %st(2)
+ fadd %st(3), %st
+ fxch %st(2)
+ fmul %st(5), %st
+ fadd %st, %st(2)
+ fld %st(4)
+ fldt 24+__4onpi_31l@GOTOFF(%edx,%edi)
+ fmul %st, %st(1)
+ fxch %st(1)
+ fadd %st, %st(4)
+ fxch %st(4)
+ fstpt 8(%esp)
+ movzwl 16(%esp), %ebx
+ andl $32767, %ebx
+ cmpl $16415, %ebx
+ jge ..B1.13
+..B1.12:
+ negl %ebx
+ addl $30, %ebx
+ movl %ebx, %ecx
+ movl 12(%esp), %eax
+ shrl %cl, %eax
+ shll %cl, %eax
+ movl %eax, 12(%esp)
+ movl $0, 8(%esp)
+ shrl %cl, %eax
+ jmp ..B1.14
+..B1.13:
+ negl %ebx
+ addl $30, %ebx
+ movl %ebx, %ecx
+ movl 8(%esp), %edx
+ shrl %cl, %edx
+ shll %cl, %edx
+ negl %ecx
+ movl 12(%esp), %eax
+ shll %cl, %eax
+ movl %ebx, %ecx
+ movl %edx, 8(%esp)
+ shrl %cl, %edx
+ orl %edx, %eax
+..B1.14:
+ fldt 8(%esp)
+ addl 4(%esp), %eax
+ fsubrp %st, %st(3)
+ fmul %st(6), %st
+ fld %st(4)
+ movl %eax, %edx
+ andl $1, %edx
+ fadd %st(3), %st
+ movl (%esp), %ecx
+ fsubr %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(5)
+ fld %st(1)
+ fxch %st(3)
+ faddl zero_none@GOTOFF(%edi,%edx,8)
+ fadd %st, %st(3)
+ fsub %st(3), %st
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(4)
+ fld %st(2)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(3)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(2)
+ fldt 36+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(1)
+ fld %st(1)
+ fadd %st(3), %st
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(1)
+ fmul %st(4), %st
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fld %st(2)
+ fldt 48+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(1)
+ fld %st(1)
+ fadd %st(3), %st
+ fsubr %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fld %st(3)
+ fxch %st(2)
+ fmul %st(5), %st
+ fldt 60+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fld %st(3)
+ fxch %st(2)
+ fmul %st(5), %st
+ fldt 72+__4onpi_31l@GOTOFF(%ecx,%edi)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fld %st(0)
+ fadd %st(2), %st
+ fsubr %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fxch %st(1)
+ faddp %st, %st(3)
+ fxch %st(1)
+ fmulp %st, %st(4)
+ fldt 84+__4onpi_31l@GOTOFF(%edi,%ecx)
+ fmulp %st, %st(3)
+ fxch %st(2)
+ faddp %st, %st(3)
+ fld %st(2)
+ fadd %st(2), %st
+ fldl _TWO_32H@GOTOFF(%edi)
+ fmul %st(1), %st
+ fadd %st, %st(1)
+ fsubrp %st, %st(1)
+ fsubr %st, %st(2)
+ fxch %st(3)
+ faddp %st, %st(2)
+ faddp %st, %st(1)
+ fldl _pi04_2d@GOTOFF(%edi)
+ fld %st(0)
+ fmul %st(2), %st
+ fxch %st(2)
+ fadd %st(3), %st
+ fxch %st(1)
+ fmulp %st, %st(3)
+ fmull 8+_pi04_2d@GOTOFF(%edi)
+ faddp %st, %st(1)
+..B1.15:
+ fldl _TWO_12H@GOTOFF(%edi)
+ fld %st(2)
+ fadd %st(2), %st
+ fmul %st, %st(1)
+ fstpt 8(%esp)
+ fldt 8(%esp)
+ fadd %st(1), %st
+ fsubp %st, %st(1)
+ fstl (%esi)
+ fsubrp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 8(%esi)
+ addl $20, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+ .align 16,0x90
+ .type __libm_reduce_pi04l,@function
+ .size __libm_reduce_pi04l,.-__libm_reduce_pi04l
+ .data
+# -- End __libm_reduce_pi04l
+ .section .rodata, "a"
+ .align 8
+ .align 8
+zero_none:
+ .long 0x00000000,0x00000000
+ .long 0x00000000,0xbff00000
+ .type zero_none,@object
+ .size zero_none,16
+ .align 4
+__4onpi_d:
+ .long 1841940611
+ .long 1072979760
+ .type __4onpi_d,@object
+ .size __4onpi_d,8
+ .align 4
+_TWO_32H:
+ .long 0
+ .long 1106771968
+ .type _TWO_32H,@object
+ .size _TWO_32H,8
+ .align 4
+_pi04_3d:
+ .long 1413754112
+ .long 1072243195
+ .long 2563527040
+ .long 1021855384
+ .long 3417685868
+ .long 3118450936
+ .type _pi04_3d,@object
+ .size _pi04_3d,24
+ .align 4
+_pi04_5d:
+ .long 1413480448
+ .long 1072243195
+ .long 442499072
+ .long 1036039265
+ .long 771751936
+ .long 999496074
+ .long 622854144
+ .long 963347354
+ .long 1396597664
+ .long 922906692
+ .type _pi04_5d,@object
+ .size _pi04_5d,40
+ .align 4
+_SCALE:
+ .long 0
+ .long 845152256
+ .type _SCALE,@object
+ .size _SCALE,8
+ .align 4
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+ .type __4onpi_31l,@object
+ .size __4onpi_31l,6444
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/libm_sincos_huge.S b/libm/x86/libm_sincos_huge.S
new file mode 100644
index 0000000..b43d193
--- /dev/null
+++ b/libm/x86/libm_sincos_huge.S
@@ -0,0 +1,668 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+# -- Begin __libm_sincos_huge
+ .text
+ .align 16,0x90
+ .hidden __libm_sincos_huge
+ .globl __libm_sincos_huge
+__libm_sincos_huge:
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+# parameter 3: 20 + %ebp
+..B1.1:
+ pushl %ebp
+ movl %esp, %ebp
+ andl $-64, %esp
+ pushl %esi
+ pushl %edi
+ pushl %ebx
+ subl $52, %esp
+ movl 16(%ebp), %eax
+ movl 20(%ebp), %edx
+ movl %eax, 32(%esp)
+ movl %edx, 36(%esp)
+..B1.2:
+ fnstcw 30(%esp)
+..B1.3:
+ call ..L2
+..L2:
+ popl %edi
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%edi), %edi
+ movsd 8(%ebp), %xmm1
+ movl 12(%ebp), %esi
+ movl %esi, %eax
+ andl $2147483647, %eax
+ andps .L_2il0floatpacket.0@GOTOFF(%edi), %xmm1
+ shrl $31, %esi
+ movl %eax, 40(%esp)
+ cmpl $1104150528, %eax
+ movsd %xmm1, 8(%ebp)
+ jae ..B1.11
+..B1.4:
+ movsd _Pi4Inv@GOTOFF(%edi), %xmm0
+ mulsd %xmm1, %xmm0
+ movzwl 30(%esp), %edx
+ movl %edx, %eax
+ andl $768, %eax
+ movsd %xmm0, (%esp)
+ cmpl $768, %eax
+ je ..B1.42
+..B1.5:
+ orl $-64768, %edx
+ movw %dx, 28(%esp)
+..B1.6:
+ fldcw 28(%esp)
+..B1.7:
+ movsd 8(%ebp), %xmm1
+ movl $1, %ebx
+..B1.8:
+ movl %ebx, 12(%esp)
+ movl 4(%esp), %ebx
+ movl %ebx, %eax
+ movl %esi, 8(%esp)
+ movl %ebx, %esi
+ shrl $20, %esi
+ andl $1048575, %eax
+ movl %esi, %ecx
+ orl $1048576, %eax
+ negl %ecx
+ movl %eax, %edx
+ addl $19, %ecx
+ addl $13, %esi
+ movl %ecx, 24(%esp)
+ shrl %cl, %edx
+ movl %esi, %ecx
+ shll %cl, %eax
+ movl 24(%esp), %ecx
+ movl (%esp), %esi
+ shrl %cl, %esi
+ orl %esi, %eax
+ cmpl $1094713344, %ebx
+ movsd %xmm1, 16(%esp)
+ fldl 16(%esp)
+ cmovb %edx, %eax
+ movl 8(%esp), %esi
+ lea 1(%eax), %edx
+ movl %edx, %ebx
+ andl $-2, %ebx
+ movl %ebx, 16(%esp)
+ fildl 16(%esp)
+ movl 12(%esp), %ebx
+ cmpl $1094713344, 40(%esp)
+ jae ..B1.10
+..B1.9:
+ fldl _Pi4x3@GOTOFF(%edi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x3@GOTOFF(%edi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x3@GOTOFF(%edi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.10:
+ fldl _Pi4x4@GOTOFF(%edi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x4@GOTOFF(%edi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x4@GOTOFF(%edi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 24+_Pi4x4@GOTOFF(%edi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.11:
+ movzwl 30(%esp), %edx
+ movl %edx, %eax
+ andl $768, %eax
+ cmpl $768, %eax
+ je ..B1.43
+..B1.12:
+ orl $-64768, %edx
+ movw %dx, 28(%esp)
+..B1.13:
+ fldcw 28(%esp)
+..B1.14:
+ movsd 8(%ebp), %xmm1
+ movl $1, %ebx
+..B1.15:
+ movsd %xmm1, 16(%esp)
+ fldl 16(%esp)
+ addl $-32, %esp
+ lea 32(%esp), %eax
+ fstpt (%esp)
+ movl $0, 12(%esp)
+ movl %eax, 16(%esp)
+ call __libm_reduce_pi04l
+..B1.46:
+ addl $32, %esp
+..B1.16:
+ fldl (%esp)
+ lea 1(%eax), %edx
+ fldl 8(%esp)
+ faddp %st, %st(1)
+..B1.17:
+ movl %edx, %ecx
+ addl $3, %eax
+ shrl $2, %ecx
+ andl $1, %ecx
+ shrl $2, %eax
+ xorl %ecx, %esi
+ movl 36(%esp), %ecx
+ andl $1, %eax
+ andl $3, %ecx
+ cmpl $3, %ecx
+ jne ..B1.25
+..B1.18:
+ fldt 84+_SP@GOTOFF(%edi)
+ fld %st(1)
+ fmul %st(2), %st
+ testb $2, %dl
+ fmul %st, %st(1)
+ fldt 72+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 60+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 48+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 36+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 24+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 12+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt _SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fmul %st, %st(1)
+ fldt 84+_CP@GOTOFF(%edi)
+ fmul %st(1), %st
+ fldt 72+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 60+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 48+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 36+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 24+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 12+_CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt _CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmulp %st, %st(1)
+ fldl _ones@GOTOFF(%edi,%esi,8)
+ fldl _ones@GOTOFF(%edi,%eax,8)
+ je ..B1.22
+..B1.19:
+ fmulp %st, %st(4)
+ testl %ebx, %ebx
+ fxch %st(2)
+ fmul %st(3), %st
+ movl 32(%esp), %eax
+ faddp %st, %st(3)
+ fxch %st(2)
+ fstpl (%eax)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 8(%eax)
+ je ..B1.21
+..B1.20:
+ fldcw 30(%esp)
+..B1.21:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.22:
+ fxch %st(1)
+ fmulp %st, %st(4)
+ testl %ebx, %ebx
+ fxch %st(2)
+ fmul %st(3), %st
+ movl 32(%esp), %eax
+ faddp %st, %st(3)
+ fxch %st(2)
+ fstpl 8(%eax)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ fstpl (%eax)
+ je ..B1.24
+..B1.23:
+ fldcw 30(%esp)
+..B1.24:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.25:
+ testb $2, 36(%esp)
+ je ..B1.33
+..B1.26:
+ fld %st(0)
+ testb $2, %dl
+ fmul %st(1), %st
+ fld %st(0)
+ fmul %st(1), %st
+ je ..B1.30
+..B1.27:
+ fstp %st(2)
+ fldt 84+_CP@GOTOFF(%edi)
+ testl %ebx, %ebx
+ fmul %st(2), %st
+ fldt 72+_CP@GOTOFF(%edi)
+ fmul %st(3), %st
+ fldt 60+_CP@GOTOFF(%edi)
+ movl 32(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 48+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 36+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 24+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 12+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(3)
+ fldt _CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fldl _ones@GOTOFF(%edi,%esi,8)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 8(%eax)
+ je ..B1.29
+..B1.28:
+ fldcw 30(%esp)
+..B1.29:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.30:
+ fldt 84+_SP@GOTOFF(%edi)
+ testl %ebx, %ebx
+ fmul %st(1), %st
+ fldt 72+_SP@GOTOFF(%edi)
+ fmul %st(2), %st
+ fldt 60+_SP@GOTOFF(%edi)
+ movl 32(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 12+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt _SP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fldl _ones@GOTOFF(%edi,%esi,8)
+ fmulp %st, %st(2)
+ fmul %st(1), %st
+ faddp %st, %st(1)
+ fstpl 8(%eax)
+ je ..B1.32
+..B1.31:
+ fldcw 30(%esp)
+..B1.32:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.33:
+ testb $1, 36(%esp)
+ je ..B1.41
+..B1.34:
+ fld %st(0)
+ testb $2, %dl
+ fmul %st(1), %st
+ fld %st(0)
+ fmul %st(1), %st
+ je ..B1.38
+..B1.35:
+ fldt 84+_SP@GOTOFF(%edi)
+ testl %ebx, %ebx
+ fmul %st(1), %st
+ fldt 72+_SP@GOTOFF(%edi)
+ fmul %st(2), %st
+ fldt 60+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 12+_SP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt _SP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fldl _ones@GOTOFF(%edi,%eax,8)
+ fmulp %st, %st(2)
+ fmul %st(1), %st
+ movl 32(%esp), %eax
+ faddp %st, %st(1)
+ fstpl (%eax)
+ je ..B1.37
+..B1.36:
+ fldcw 30(%esp)
+..B1.37:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.38:
+ fstp %st(2)
+ fldt 84+_CP@GOTOFF(%edi)
+ testl %ebx, %ebx
+ fmul %st(2), %st
+ fldt 72+_CP@GOTOFF(%edi)
+ fmul %st(3), %st
+ fldt 60+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 48+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 36+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 24+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(3), %st
+ fldt 12+_CP@GOTOFF(%edi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(3)
+ fldt _CP@GOTOFF(%edi)
+ faddp %st, %st(1)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fldl _ones@GOTOFF(%edi,%eax,8)
+ fmul %st, %st(1)
+ movl 32(%esp), %eax
+ faddp %st, %st(1)
+ fstpl (%eax)
+ je ..B1.40
+..B1.39:
+ fldcw 30(%esp)
+..B1.40:
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.41:
+ fstp %st(0)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.42:
+ xorl %ebx, %ebx
+ jmp ..B1.8
+..B1.43:
+ xorl %ebx, %ebx
+ jmp ..B1.15
+ .align 16,0x90
+ .type __libm_sincos_huge,@function
+ .size __libm_sincos_huge,.-__libm_sincos_huge
+ .data
+# -- End __libm_sincos_huge
+ .section .rodata, "a"
+ .align 16
+ .align 16
+.L_2il0floatpacket.0:
+ .long 0xffffffff,0x7fffffff,0x00000000,0x00000000
+ .type .L_2il0floatpacket.0,@object
+ .size .L_2il0floatpacket.0,16
+ .align 16
+_Pi4Inv:
+ .long 1841940611
+ .long 1072979760
+ .type _Pi4Inv,@object
+ .size _Pi4Inv,8
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x3:
+ .long 1413754880
+ .long 3219726843
+ .long 993632256
+ .long 1027030475
+ .long 3773204808
+ .long 3129236486
+ .type _Pi4x3,@object
+ .size _Pi4x3,24
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x4:
+ .long 1413480448
+ .long 3219726843
+ .long 442499072
+ .long 3183522913
+ .long 771751936
+ .long 3146979722
+ .long 622873025
+ .long 3110831002
+ .type _Pi4x4,@object
+ .size _Pi4x4,32
+ .align 16
+_SP:
+ .word 43691
+ .word 43690
+ .word 43690
+ .word 43690
+ .word 49148
+ .word 0
+ .word 34951
+ .word 34952
+ .word 34952
+ .word 34952
+ .word 16376
+ .word 0
+ .word 50471
+ .word 3328
+ .word 208
+ .word 53261
+ .word 49138
+ .word 0
+ .word 17910
+ .word 46614
+ .word 7466
+ .word 47343
+ .word 16364
+ .word 0
+ .word 33371
+ .word 14743
+ .word 11071
+ .word 55090
+ .word 49125
+ .word 0
+ .word 48947
+ .word 35764
+ .word 12250
+ .word 45202
+ .word 16350
+ .word 0
+ .word 17574
+ .word 60698
+ .word 10735
+ .word 55102
+ .word 49110
+ .word 0
+ .word 34320
+ .word 12415
+ .word 25249
+ .word 51489
+ .word 16334
+ .word 0
+ .type _SP,@object
+ .size _SP,96
+ .align 16
+_CP:
+ .word 0
+ .word 0
+ .word 0
+ .word 32768
+ .word 49150
+ .word 0
+ .word 43685
+ .word 43690
+ .word 43690
+ .word 43690
+ .word 16378
+ .word 0
+ .word 39983
+ .word 2912
+ .word 24758
+ .word 46603
+ .word 49141
+ .word 0
+ .word 61476
+ .word 3244
+ .word 208
+ .word 53261
+ .word 16367
+ .word 0
+ .word 1022
+ .word 16229
+ .word 32187
+ .word 37874
+ .word 49129
+ .word 0
+ .word 55373
+ .word 44526
+ .word 50840
+ .word 36726
+ .word 16354
+ .word 0
+ .word 55994
+ .word 65145
+ .word 59958
+ .word 51657
+ .word 49114
+ .word 0
+ .word 15046
+ .word 2976
+ .word 1998
+ .word 54661
+ .word 16338
+ .word 0
+ .type _CP,@object
+ .size _CP,96
+ .align 16
+_ones:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 3220176896
+ .type _ones,@object
+ .size _ones,16
+ .data
+ .hidden __libm_reduce_pi04l
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/libm_tancot_huge.S b/libm/x86/libm_tancot_huge.S
new file mode 100644
index 0000000..80f16d5
--- /dev/null
+++ b/libm/x86/libm_tancot_huge.S
@@ -0,0 +1,750 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+# -- Begin __libm_tancot_huge
+ .text
+ .align 16,0x90
+ .hidden __libm_tancot_huge
+ .globl __libm_tancot_huge
+__libm_tancot_huge:
+# parameter 1: 8 + %ebp
+# parameter 2: 16 + %ebp
+# parameter 3: 20 + %ebp
+..B1.1:
+ pushl %ebp
+ movl %esp, %ebp
+ andl $-64, %esp
+ pushl %esi
+ pushl %edi
+ pushl %ebx
+ subl $52, %esp
+ movl 16(%ebp), %eax
+ movl 20(%ebp), %ebx
+ movl %eax, 40(%esp)
+..B1.2:
+ fnstcw 38(%esp)
+..B1.3:
+ movl 12(%ebp), %edx
+ movl %edx, %eax
+ andl $2147483647, %eax
+ shrl $31, %edx
+ movl %edx, 44(%esp)
+ cmpl $1104150528, %eax
+ call ..L2
+..L2:
+ popl %esi
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%esi), %esi
+ jae ..B1.11
+..B1.4:
+ movsd 8(%ebp), %xmm1
+ movzwl 38(%esp), %ecx
+ movl %ecx, %edx
+ andl $768, %edx
+ andps .L_2il0floatpacket.0@GOTOFF(%esi), %xmm1
+ cmpl $768, %edx
+ movsd _Pi4Inv@GOTOFF(%esi), %xmm0
+ mulsd %xmm1, %xmm0
+ movsd %xmm1, 8(%ebp)
+ movsd %xmm0, (%esp)
+ je ..B1.39
+..B1.5:
+ orl $-64768, %ecx
+ movw %cx, 36(%esp)
+..B1.6:
+ fldcw 36(%esp)
+..B1.7:
+ movsd 8(%ebp), %xmm1
+ movl $1, %edi
+..B1.8:
+ movl %esi, 12(%esp)
+ movl 4(%esp), %esi
+ movl %esi, %edx
+ movl %edi, 24(%esp)
+ movl %esi, %edi
+ shrl $20, %edi
+ andl $1048575, %edx
+ movl %edi, %ecx
+ orl $1048576, %edx
+ negl %ecx
+ addl $13, %edi
+ movl %ebx, 8(%esp)
+ addl $19, %ecx
+ movl %edx, %ebx
+ movl %ecx, 28(%esp)
+ shrl %cl, %ebx
+ movl %edi, %ecx
+ shll %cl, %edx
+ movl 28(%esp), %ecx
+ movl (%esp), %edi
+ shrl %cl, %edi
+ orl %edi, %edx
+ cmpl $1094713344, %esi
+ movsd %xmm1, 16(%esp)
+ fldl 16(%esp)
+ cmovb %ebx, %edx
+ movl 24(%esp), %edi
+ movl 12(%esp), %esi
+ lea 1(%edx), %ebx
+ andl $-2, %ebx
+ movl %ebx, 16(%esp)
+ cmpl $1094713344, %eax
+ fildl 16(%esp)
+ movl 8(%esp), %ebx
+ jae ..B1.10
+..B1.9:
+ fldl _Pi4x3@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x3@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x3@GOTOFF(%esi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.10:
+ fldl _Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 8+_Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 16+_Pi4x4@GOTOFF(%esi)
+ fmul %st(1), %st
+ faddp %st, %st(2)
+ fldl 24+_Pi4x4@GOTOFF(%esi)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ jmp ..B1.17
+..B1.11:
+ movzwl 38(%esp), %edx
+ movl %edx, %eax
+ andl $768, %eax
+ cmpl $768, %eax
+ je ..B1.40
+..B1.12:
+ orl $-64768, %edx
+ movw %dx, 36(%esp)
+..B1.13:
+ fldcw 36(%esp)
+..B1.14:
+ movl $1, %edi
+..B1.15:
+ movsd 8(%ebp), %xmm0
+ addl $-32, %esp
+ andps .L_2il0floatpacket.0@GOTOFF(%esi), %xmm0
+ lea 32(%esp), %eax
+ movsd %xmm0, 16(%eax)
+ fldl 16(%eax)
+ fstpt (%esp)
+ movl $0, 12(%esp)
+ movl %eax, 16(%esp)
+ call __libm_reduce_pi04l
+..B1.43:
+ movl %eax, %edx
+ addl $32, %esp
+..B1.16:
+ fldl (%esp)
+ fldl 8(%esp)
+ faddp %st, %st(1)
+..B1.17:
+ movl %ebx, %eax
+ andl $3, %eax
+ cmpl $3, %eax
+ jne ..B1.24
+..B1.18:
+ fldl _ones@GOTOFF(%esi)
+ incl %edx
+ fdiv %st(1), %st
+ testb $2, %dl
+ fstpt 24(%esp)
+ fld %st(0)
+ fmul %st(1), %st
+ fld %st(0)
+ fmul %st(1), %st
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(3), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(3), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(4), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(4), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(4)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(4), %st
+ fmul %st(5), %st
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(4)
+ fxch %st(3)
+ fmul %st(5), %st
+ faddp %st, %st(3)
+ je ..B1.20
+..B1.19:
+ fldt 24(%esp)
+ fxch %st(1)
+ fdivrp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(3)
+ movl 44(%esp), %eax
+ xorl $1, %eax
+ fxch %st(2)
+ fmul %st(3), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fstpl 16(%esp)
+ fmul %st(1), %st
+ fxch %st(1)
+ fmulp %st, %st(2)
+ movsd 16(%esp), %xmm0
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm1
+ jmp ..B1.21
+..B1.20:
+ fdivrp %st, %st(1)
+ fmulp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ movl 44(%esp), %eax
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmul %st, %st(3)
+ fxch %st(3)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ fmul %st(1), %st
+ fldt 24(%esp)
+ fmulp %st, %st(2)
+ movsd 16(%esp), %xmm0
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm1
+..B1.21:
+ testl %edi, %edi
+ je ..B1.23
+..B1.22:
+ fldcw 38(%esp)
+..B1.23:
+ movl 40(%esp), %eax
+ movsd %xmm0, (%eax)
+ movsd %xmm1, 8(%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.24:
+ testb $2, %bl
+ je ..B1.31
+..B1.25:
+ incl %edx
+ fld %st(0)
+ fmul %st(1), %st
+ testb $2, %dl
+ je ..B1.27
+..B1.26:
+ fldl _ones@GOTOFF(%esi)
+ fdiv %st(2), %st
+ fld %st(1)
+ fmul %st(2), %st
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ xorl $1, %eax
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmulp %st, %st(3)
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fxch %st(2)
+ fmulp %st, %st(3)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+ jmp ..B1.28
+..B1.27:
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fdivp %st, %st(1)
+ fmulp %st, %st(1)
+ fmul %st(1), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+..B1.28:
+ testl %edi, %edi
+ je ..B1.30
+..B1.29:
+ fldcw 38(%esp)
+..B1.30:
+ movl 40(%esp), %eax
+ movsd %xmm0, (%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.31:
+ testb $1, %bl
+ je ..B1.38
+..B1.32:
+ incl %edx
+ fld %st(0)
+ fmul %st(1), %st
+ testb $2, %dl
+ je ..B1.34
+..B1.33:
+ fldt 36+_TP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 24+_TP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(1)
+ fmul %st(1), %st
+ xorl $1, %eax
+ fldt 36+_TQ@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 24+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt 12+_TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(2), %st
+ fldt _TQ@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fldt 12+_TP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt _TP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fdivp %st, %st(1)
+ fmulp %st, %st(1)
+ fmul %st(1), %st
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(1)
+ fmulp %st, %st(2)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+ jmp ..B1.35
+..B1.34:
+ fldl _ones@GOTOFF(%esi)
+ fdiv %st(2), %st
+ fld %st(1)
+ fmul %st(2), %st
+ fldt 132+_GP@GOTOFF(%esi)
+ fmul %st(1), %st
+ fldt 120+_GP@GOTOFF(%esi)
+ fmul %st(2), %st
+ fldt 108+_GP@GOTOFF(%esi)
+ movl 44(%esp), %eax
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 96+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 84+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 72+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 60+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 48+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 36+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmul %st(2), %st
+ fldt 24+_GP@GOTOFF(%esi)
+ faddp %st, %st(2)
+ fxch %st(1)
+ fmulp %st, %st(2)
+ fldt 12+_GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmulp %st, %st(3)
+ fldt _GP@GOTOFF(%esi)
+ faddp %st, %st(1)
+ fmul %st(3), %st
+ fxch %st(2)
+ fmulp %st, %st(3)
+ fxch %st(1)
+ faddp %st, %st(2)
+ fldl _ones@GOTOFF(%esi,%eax,8)
+ fmul %st, %st(2)
+ fmulp %st, %st(1)
+ faddp %st, %st(1)
+ fstpl 16(%esp)
+ movsd 16(%esp), %xmm0
+..B1.35:
+ testl %edi, %edi
+ je ..B1.37
+..B1.36:
+ fldcw 38(%esp)
+..B1.37:
+ movl 40(%esp), %eax
+ movsd %xmm0, 8(%eax)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.38:
+ fstp %st(0)
+ addl $52, %esp
+ popl %ebx
+ popl %edi
+ popl %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B1.39:
+ xorl %edi, %edi
+ jmp ..B1.8
+..B1.40:
+ xorl %edi, %edi
+ jmp ..B1.15
+ .align 16,0x90
+ .type __libm_tancot_huge,@function
+ .size __libm_tancot_huge,.-__libm_tancot_huge
+ .data
+# -- End __libm_tancot_huge
+ .section .rodata, "a"
+ .align 16
+ .align 16
+.L_2il0floatpacket.0:
+ .long 0xffffffff,0x7fffffff,0x00000000,0x00000000
+ .type .L_2il0floatpacket.0,@object
+ .size .L_2il0floatpacket.0,16
+ .align 16
+_Pi4Inv:
+ .long 1841940611
+ .long 1072979760
+ .type _Pi4Inv,@object
+ .size _Pi4Inv,8
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x3:
+ .long 1413754880
+ .long 3219726843
+ .long 993632256
+ .long 1027030475
+ .long 3773204808
+ .long 3129236486
+ .type _Pi4x3,@object
+ .size _Pi4x3,24
+ .space 8, 0x00 # pad
+ .align 16
+_Pi4x4:
+ .long 1413480448
+ .long 3219726843
+ .long 442499072
+ .long 3183522913
+ .long 771751936
+ .long 3146979722
+ .long 622873025
+ .long 3110831002
+ .type _Pi4x4,@object
+ .size _Pi4x4,32
+ .align 16
+_ones:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 3220176896
+ .type _ones,@object
+ .size _ones,16
+ .align 16
+_TP:
+ .word 19670
+ .word 44908
+ .word 50960
+ .word 50786
+ .word 49149
+ .word 0
+ .word 19206
+ .word 45228
+ .word 54194
+ .word 52268
+ .word 16377
+ .word 0
+ .word 227
+ .word 51280
+ .word 43560
+ .word 38195
+ .word 49139
+ .word 0
+ .word 12272
+ .word 18029
+ .word 6715
+ .word 45670
+ .word 16357
+ .word 0
+ .type _TP,@object
+ .size _TP,48
+ .align 16
+_TQ:
+ .word 14748
+ .word 33681
+ .word 5452
+ .word 38090
+ .word 49151
+ .word 0
+ .word 46755
+ .word 50026
+ .word 17634
+ .word 35372
+ .word 16382
+ .word 0
+ .word 46863
+ .word 53352
+ .word 42702
+ .word 59869
+ .word 49145
+ .word 0
+ .word 33295
+ .word 20942
+ .word 32118
+ .word 39935
+ .word 16371
+ .word 0
+ .type _TQ,@object
+ .size _TQ,48
+ .align 16
+_GP:
+ .word 43691
+ .word 43690
+ .word 43690
+ .word 43690
+ .word 49149
+ .word 0
+ .word 46639
+ .word 2912
+ .word 24758
+ .word 46603
+ .word 49145
+ .word 0
+ .word 57255
+ .word 2218
+ .word 21984
+ .word 35507
+ .word 49142
+ .word 0
+ .word 34208
+ .word 43033
+ .word 48281
+ .word 56811
+ .word 49138
+ .word 0
+ .word 28773
+ .word 27191
+ .word 31071
+ .word 45908
+ .word 49135
+ .word 0
+ .word 43257
+ .word 33777
+ .word 11976
+ .word 37184
+ .word 49132
+ .word 0
+ .word 62410
+ .word 35990
+ .word 36363
+ .word 60269
+ .word 49128
+ .word 0
+ .word 13659
+ .word 55568
+ .word 26569
+ .word 48851
+ .word 49125
+ .word 0
+ .word 10347
+ .word 46238
+ .word 47188
+ .word 39576
+ .word 49122
+ .word 0
+ .word 2161
+ .word 6703
+ .word 25719
+ .word 64708
+ .word 49118
+ .word 0
+ .word 42329
+ .word 7593
+ .word 44754
+ .word 47734
+ .word 49115
+ .word 0
+ .word 163
+ .word 32746
+ .word 39875
+ .word 61957
+ .word 49112
+ .word 0
+ .type _GP,@object
+ .size _GP,144
+ .data
+ .hidden __libm_reduce_pi04l
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/lrint.S b/libm/x86/lrint.S
new file mode 100644
index 0000000..48d71dd
--- /dev/null
+++ b/libm/x86/lrint.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(lrint)
+ // LP32 sizeof(long) == 4.
+ movsd 0x4(%esp),%xmm0
+ cvtsd2si %xmm0, %eax
+ ret
+END(lrint)
+
+// LP32 sizeof(long double) == sizeof(double).
+ALIAS_SYMBOL(lrintl, lrint);
diff --git a/libm/x86/lrintf.S b/libm/x86/lrintf.S
new file mode 100644
index 0000000..bc8fcb3
--- /dev/null
+++ b/libm/x86/lrintf.S
@@ -0,0 +1,33 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(lrintf)
+ // LP32 sizeof(long) == 4.
+ movss 0x4(%esp),%xmm0
+ cvtss2si %xmm0, %eax
+ ret
+END(lrintf)
diff --git a/libm/x86/rint.S b/libm/x86/rint.S
new file mode 100644
index 0000000..85635f2
--- /dev/null
+++ b/libm/x86/rint.S
@@ -0,0 +1,39 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(rint)
+ subl $12,%esp
+ movsd 16(%esp),%xmm0
+ roundsd $4,%xmm0,%xmm0
+ movsd %xmm0,(%esp)
+ fldl (%esp)
+ addl $12,%esp
+ ret
+END(rint)
+
+// LP32 sizeof(long double) == sizeof(double).
+ALIAS_SYMBOL(rintl, rint);
diff --git a/libm/x86/rintf.S b/libm/x86/rintf.S
new file mode 100644
index 0000000..9f82400
--- /dev/null
+++ b/libm/x86/rintf.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(rintf)
+ subl $12,%esp
+ movss 16(%esp),%xmm0
+ roundss $4,%xmm0,%xmm0
+ movss %xmm0,(%esp)
+ flds (%esp)
+ add $12,%esp
+ ret
+END(rintf)
diff --git a/libm/x86/s_atan.S b/libm/x86/s_atan.S
new file mode 100644
index 0000000..c4413f1
--- /dev/null
+++ b/libm/x86/s_atan.S
@@ -0,0 +1,934 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// This implementation uses the main path for |x| in [2^{-5},2^65).
+// For |x| in [2^{-64},2^{-5}), a secondary path is used.
+// For the biased exponent of X within 3FFH-64 and 3FF+64, we use one branch.
+// We use the following definition of B and X` so that the formula
+// atan(X) = Tau + atan( (X`-B) / (One + BX) ) is correct
+//
+// X = (-1)^s * 2^k * 1. x1 x2 ... x52
+//
+// Define X` = 0 if k >= 5; and X` = |X| otherwise
+// Define One = 0 if k >= 5; and One = 1 otherwise
+// Define B = 0 if k <= -6; B = 2^k * 1.x1 x2 x3 x4 1 if -5 <= k <= 4
+// Define B = 2^5 * 1.0 0 ... 0 if k >= 5
+//
+// Tau is 0 if k <= -6;
+// Tau is atan( B ) if -5 <= k <= 4
+// Tau is pi/2 if k >= 5
+//
+// Special cases:
+// atan(NaN) = quiet NaN
+// atan(+/-INF) = +/-Pi/2
+// atan(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin atan
+ENTRY(atan)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 48(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ movsd 2640(%ebx), %xmm3
+ movsd 2624(%ebx), %xmm5
+ movsd 2656(%ebx), %xmm4
+ movsd %xmm0, 8(%esp)
+ pextrw $3, %xmm0, %edx
+ andpd %xmm0, %xmm3
+ pshufd $68, %xmm0, %xmm1
+ orpd %xmm4, %xmm3
+ movl %edx, %eax
+ andl $32767, %edx
+ subl $16288, %edx
+ cmpl $159, %edx
+ ja .L_2TAG_PACKET_0.0.2
+ mulsd %xmm3, %xmm1
+ subsd %xmm3, %xmm0
+ addsd %xmm5, %xmm1
+ divsd %xmm1, %xmm0
+ addl $1, %edx
+ movsd 2672(%ebx), %xmm2
+ movsd 2688(%ebx), %xmm4
+ andl $32768, %eax
+ xorpd %xmm7, %xmm7
+ pinsrw $3, %eax, %xmm7
+ addl %edx, %edx
+ movsd (%ebx,%edx,8), %xmm6
+ movsd 8(%ebx,%edx,8), %xmm5
+ xorpd %xmm7, %xmm5
+ xorpd %xmm7, %xmm6
+ movsd 2680(%ebx), %xmm7
+ pshufd $68, %xmm0, %xmm1
+ mulsd %xmm0, %xmm0
+ pshufd $68, %xmm1, %xmm3
+ addsd %xmm6, %xmm1
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm4
+ subsd %xmm1, %xmm6
+ mulsd %xmm0, %xmm4
+ addsd %xmm7, %xmm2
+ mulsd %xmm3, %xmm0
+ addsd %xmm3, %xmm6
+ mulsd %xmm2, %xmm0
+ addsd 2696(%ebx), %xmm4
+ addsd %xmm5, %xmm6
+ mulsd %xmm4, %xmm0
+ addsd %xmm6, %xmm0
+ addsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ addl $944, %edx
+ cmpl $1103, %edx
+ ja .L_2TAG_PACKET_2.0.2
+ movsd 2672(%ebx), %xmm4
+ movsd 2688(%ebx), %xmm7
+ movsd 8(%esp), %xmm0
+ mulsd %xmm1, %xmm1
+ movsd 2680(%ebx), %xmm2
+ movsd 2696(%ebx), %xmm5
+ mulsd %xmm1, %xmm4
+ addsd %xmm1, %xmm7
+ movapd %xmm1, %xmm6
+ mulsd %xmm0, %xmm1
+ addsd %xmm4, %xmm2
+ mulsd %xmm6, %xmm7
+ mulsd %xmm1, %xmm2
+ addsd %xmm5, %xmm7
+ mulsd %xmm7, %xmm2
+ addsd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ addl $15344, %edx
+ cmpl $16368, %edx
+ ja .L_2TAG_PACKET_3.0.2
+ movsd 8(%esp), %xmm0
+ movsd 8(%esp), %xmm1
+ cmpl $16, %edx
+ jae .L_2TAG_PACKET_4.0.2
+ mulsd %xmm0, %xmm1
+.L_2TAG_PACKET_4.0.2:
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_3.0.2:
+ cmpl $17392, %edx
+ jae .L_2TAG_PACKET_5.0.2
+ xorpd %xmm1, %xmm1
+ movl $49136, %ecx
+ pinsrw $3, %ecx, %xmm1
+ divsd %xmm0, %xmm1
+ movsd 2672(%ebx), %xmm2
+ movsd 2688(%ebx), %xmm4
+ andl $32768, %eax
+ xorpd %xmm7, %xmm7
+ pinsrw $3, %eax, %xmm7
+ addl %edx, %edx
+ movsd 2592(%ebx), %xmm6
+ movsd 2600(%ebx), %xmm5
+ xorpd %xmm7, %xmm5
+ xorpd %xmm7, %xmm6
+ movsd 2680(%ebx), %xmm7
+ pshufd $68, %xmm1, %xmm0
+ mulsd %xmm1, %xmm1
+ pshufd $68, %xmm0, %xmm3
+ addsd %xmm6, %xmm0
+ mulsd %xmm1, %xmm2
+ addsd %xmm1, %xmm4
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm4
+ addsd %xmm7, %xmm2
+ mulsd %xmm3, %xmm1
+ addsd %xmm3, %xmm6
+ mulsd %xmm2, %xmm1
+ addsd 2696(%ebx), %xmm4
+ addsd %xmm5, %xmm6
+ mulsd %xmm4, %xmm1
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_5.0.2:
+ movsd 8(%esp), %xmm4
+ movsd 2608(%ebx), %xmm0
+ movsd 2592(%ebx), %xmm2
+ movsd 2600(%ebx), %xmm3
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ andl $2147483647, %edx
+ cmpl $2146435072, %edx
+ jae .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_7.0.2:
+ andnpd %xmm4, %xmm0
+ orpd %xmm0, %xmm2
+ orpd %xmm3, %xmm0
+ addsd %xmm2, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_6.0.2:
+ subl $2146435072, %edx
+ orl %edx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_7.0.2
+ movapd %xmm4, %xmm0
+ addsd %xmm0, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+.L_2TAG_PACKET_1.0.2:
+ movl 48(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(atan)
+# -- End atan
+
+# Start file scope ASM
+ALIAS_SYMBOL(atanl, atan);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3819695742
+ .long 1067482761
+ .long 2398680355
+ .long 3155462074
+ .long 2998791009
+ .long 1067548225
+ .long 3868465248
+ .long 3157182472
+ .long 3339424991
+ .long 1067613680
+ .long 3296670360
+ .long 1010752543
+ .long 2710002256
+ .long 1067679126
+ .long 3403896007
+ .long 1010910768
+ .long 3275701428
+ .long 1067744562
+ .long 119959933
+ .long 1011482843
+ .long 2908636881
+ .long 1067809988
+ .long 2464489612
+ .long 1011545526
+ .long 3777889398
+ .long 1067875403
+ .long 3262682165
+ .long 1009703919
+ .long 3759667419
+ .long 1067940807
+ .long 1838130851
+ .long 3157373556
+ .long 732369940
+ .long 1068006200
+ .long 1203428313
+ .long 1010055371
+ .long 1166616461
+ .long 1068071580
+ .long 2901274051
+ .long 3158549977
+ .long 2945472892
+ .long 1068136947
+ .long 3726120658
+ .long 1009762715
+ .long 3954480976
+ .long 1068202301
+ .long 1289173457
+ .long 1009429861
+ .long 2081752829
+ .long 1068267642
+ .long 1836909874
+ .long 1006212095
+ .long 3807999788
+ .long 1068332968
+ .long 2172459940
+ .long 3156162078
+ .long 2731789884
+ .long 1068398280
+ .long 3450718392
+ .long 3159216547
+ .long 1044477961
+ .long 1068463577
+ .long 2230553229
+ .long 1011424339
+ .long 1486930287
+ .long 1068530218
+ .long 2861547474
+ .long 1012041376
+ .long 2293016881
+ .long 1068595466
+ .long 136843272
+ .long 1012684797
+ .long 201518157
+ .long 1068660680
+ .long 63231984
+ .long 1012427198
+ .long 4054234584
+ .long 1068725856
+ .long 3927006960
+ .long 1011878955
+ .long 1246477213
+ .long 1068790995
+ .long 1494265652
+ .long 3155219350
+ .long 678186699
+ .long 1068856093
+ .long 1264361424
+ .long 3159256693
+ .long 2690594995
+ .long 1068921148
+ .long 3906996379
+ .long 1009288267
+ .long 3362611517
+ .long 1068986159
+ .long 1650970041
+ .long 3158331771
+ .long 3102162111
+ .long 1069051124
+ .long 365917035
+ .long 3160264153
+ .long 2352611067
+ .long 1069116041
+ .long 4008970190
+ .long 3159478182
+ .long 1594134794
+ .long 1069180908
+ .long 466690178
+ .long 1012526501
+ .long 1345079306
+ .long 1069245723
+ .long 2268273568
+ .long 3160164092
+ .long 2163300970
+ .long 1069310484
+ .long 2750834800
+ .long 3158113482
+ .long 352522716
+ .long 1069375190
+ .long 1750411372
+ .long 1011790845
+ .long 848541647
+ .long 1069439838
+ .long 2164207573
+ .long 1011698350
+ .long 40647312
+ .long 1069504427
+ .long 2949165434
+ .long 3159107267
+ .long 2216766270
+ .long 1069574357
+ .long 2197920765
+ .long 3161055954
+ .long 1090914384
+ .long 1069638757
+ .long 2330454674
+ .long 1013365998
+ .long 387601244
+ .long 1069703022
+ .long 3185681168
+ .long 1013434071
+ .long 3991640484
+ .long 1069767144
+ .long 1313211590
+ .long 3161087959
+ .long 3322489502
+ .long 1069831118
+ .long 3013977995
+ .long 1013053011
+ .long 3121698570
+ .long 1069894936
+ .long 4069015667
+ .long 1013023362
+ .long 4289964660
+ .long 1069958591
+ .long 1736191156
+ .long 3158266731
+ .long 3903312386
+ .long 1070022077
+ .long 1833592413
+ .long 3159731471
+ .long 3818449864
+ .long 1070085387
+ .long 851036429
+ .long 3159730451
+ .long 2097480306
+ .long 1070148515
+ .long 3506390884
+ .long 3160462302
+ .long 1611694502
+ .long 1070211454
+ .long 2785735540
+ .long 3160465144
+ .long 1464694796
+ .long 1070274198
+ .long 4229277299
+ .long 3159907000
+ .long 1299612775
+ .long 1070336741
+ .long 4116653788
+ .long 3160427739
+ .long 1310544789
+ .long 1070399077
+ .long 1064430331
+ .long 1013218202
+ .long 2253168030
+ .long 1070461200
+ .long 1405044609
+ .long 3157623179
+ .long 1159567373
+ .long 1070523105
+ .long 2353445521
+ .long 3159992176
+ .long 1359373750
+ .long 1070605818
+ .long 1748171336
+ .long 3161879263
+ .long 908341706
+ .long 1070667034
+ .long 3372710815
+ .long 3161775245
+ .long 1743027350
+ .long 1070727765
+ .long 687089934
+ .long 3160507171
+ .long 2055355646
+ .long 1070787992
+ .long 2392855242
+ .long 1013682469
+ .long 690426164
+ .long 1070847697
+ .long 1103926666
+ .long 1014052810
+ .long 1483247847
+ .long 1070906862
+ .long 2082645847
+ .long 3161345479
+ .long 392040270
+ .long 1070965472
+ .long 2407720023
+ .long 1014053754
+ .long 2673846014
+ .long 1071023511
+ .long 1293605532
+ .long 3158464385
+ .long 1384215810
+ .long 1071080967
+ .long 2446095872
+ .long 3159216407
+ .long 3101660631
+ .long 1071137826
+ .long 698040758
+ .long 1014855328
+ .long 2094057058
+ .long 1071194078
+ .long 2282048339
+ .long 1014040385
+ .long 1712750594
+ .long 1071249712
+ .long 1204372378
+ .long 3162276464
+ .long 1411515787
+ .long 1071304719
+ .long 949080808
+ .long 1015006403
+ .long 931538085
+ .long 1071359091
+ .long 3027127039
+ .long 1014307233
+ .long 179139065
+ .long 1071412821
+ .long 4285547492
+ .long 3161934731
+ .long 3387721259
+ .long 1071465902
+ .long 373225773
+ .long 1013486625
+ .long 2132236852
+ .long 1071544299
+ .long 3250533429
+ .long 1014031677
+ .long 1942070284
+ .long 1071645596
+ .long 1237964179
+ .long 3163239113
+ .long 1532707802
+ .long 1071695380
+ .long 330645583
+ .long 1012495610
+ .long 2294184979
+ .long 1071743834
+ .long 3959472897
+ .long 1015833116
+ .long 3805060714
+ .long 1071790961
+ .long 2671256142
+ .long 1013727772
+ .long 2215037898
+ .long 1071836770
+ .long 2683359117
+ .long 1015831902
+ .long 483661594
+ .long 1071881273
+ .long 836288326
+ .long 3162648643
+ .long 1534679894
+ .long 1071924486
+ .long 373258696
+ .long 3162470096
+ .long 1538714628
+ .long 1071966430
+ .long 3199433068
+ .long 1015325501
+ .long 527642555
+ .long 1072007128
+ .long 3636832592
+ .long 3161843145
+ .long 291339150
+ .long 1072046605
+ .long 890169537
+ .long 3160586117
+ .long 2450210201
+ .long 1072084888
+ .long 1636353294
+ .long 3163193400
+ .long 2411367951
+ .long 1072122007
+ .long 374899873
+ .long 1011331750
+ .long 681549971
+ .long 1072157992
+ .long 506411689
+ .long 1015373954
+ .long 1466745541
+ .long 1072192873
+ .long 2143860931
+ .long 1013364334
+ .long 2845622366
+ .long 1072226682
+ .long 2869178209
+ .long 3162423682
+ .long 2838871438
+ .long 1072275456
+ .long 3742223599
+ .long 1014338577
+ .long 4200275274
+ .long 1072337034
+ .long 1566539915
+ .long 3161839550
+ .long 3034733530
+ .long 1072394897
+ .long 652621408
+ .long 3162261964
+ .long 3207412993
+ .long 1072449290
+ .long 3206124665
+ .long 1014408733
+ .long 624461478
+ .long 1072500450
+ .long 932437485
+ .long 1015204343
+ .long 767665908
+ .long 1072548600
+ .long 1037911952
+ .long 3163527627
+ .long 1110773639
+ .long 1072593952
+ .long 2371517912
+ .long 3160465741
+ .long 1940828530
+ .long 1072636704
+ .long 2731408428
+ .long 3162895795
+ .long 1911329388
+ .long 1072677041
+ .long 1773089615
+ .long 3159569267
+ .long 1764715788
+ .long 1072704191
+ .long 691346949
+ .long 3164069946
+ .long 3332979233
+ .long 1072722195
+ .long 3550733983
+ .long 1014770628
+ .long 1321870254
+ .long 1072739231
+ .long 1415315820
+ .long 1016224052
+ .long 3657429030
+ .long 1072755365
+ .long 3910539033
+ .long 1015966402
+ .long 4197624557
+ .long 1072770661
+ .long 2333399254
+ .long 3164546480
+ .long 1512059493
+ .long 1072785177
+ .long 2701510318
+ .long 1016178092
+ .long 453379037
+ .long 1072798965
+ .long 4046344253
+ .long 3162814364
+ .long 1942345162
+ .long 1072818388
+ .long 621134147
+ .long 1016335195
+ .long 4210176273
+ .long 1072842164
+ .long 2701013387
+ .long 3164326619
+ .long 4185644010
+ .long 1072863795
+ .long 4163699341
+ .long 1016203112
+ .long 679688788
+ .long 1072883543
+ .long 4147276762
+ .long 1014066750
+ .long 29432865
+ .long 1072901630
+ .long 970415797
+ .long 1016902063
+ .long 4070721092
+ .long 1072918247
+ .long 2539004411
+ .long 3163736096
+ .long 2252468843
+ .long 1072933561
+ .long 3424082887
+ .long 3163407177
+ .long 2929724825
+ .long 1072947712
+ .long 3661482235
+ .long 3163846989
+ .long 1377513368
+ .long 1072960824
+ .long 3987926680
+ .long 1013647908
+ .long 1031632908
+ .long 1072973003
+ .long 3672217151
+ .long 1016614619
+ .long 2516508130
+ .long 1072984342
+ .long 545855020
+ .long 3162728930
+ .long 3792452178
+ .long 1072994923
+ .long 3420119467
+ .long 1016471430
+ .long 3147791459
+ .long 1073004818
+ .long 1342204979
+ .long 1013937254
+ .long 999189752
+ .long 1073014090
+ .long 1006335472
+ .long 3162850919
+ .long 711011011
+ .long 1073022794
+ .long 4633488
+ .long 3162966895
+ .long 15640363
+ .long 1073030980
+ .long 1686389560
+ .long 3164376226
+ .long 1218463589
+ .long 1073042382
+ .long 1526837110
+ .long 3163533985
+ .long 2538470555
+ .long 1073056144
+ .long 2273304406
+ .long 3163784996
+ .long 1229720947
+ .long 1073068489
+ .long 2971628206
+ .long 3162356540
+ .long 3115427016
+ .long 1073079621
+ .long 4215132957
+ .long 3164282762
+ .long 4030612557
+ .long 1073089709
+ .long 1913251691
+ .long 3163671292
+ .long 2728521257
+ .long 1073098892
+ .long 2861089500
+ .long 1015454459
+ .long 1118696283
+ .long 1073107285
+ .long 1628948053
+ .long 1016179658
+ .long 2682711255
+ .long 1073114984
+ .long 2906306266
+ .long 1014142643
+ .long 2073898081
+ .long 1073122072
+ .long 1322740454
+ .long 3164497217
+ .long 1403700297
+ .long 1073128618
+ .long 416137895
+ .long 3162781466
+ .long 2502685617
+ .long 1073134681
+ .long 3242008732
+ .long 1014593495
+ .long 1531926851
+ .long 1073140313
+ .long 1362708094
+ .long 1016517604
+ .long 3572814411
+ .long 1073145557
+ .long 3709790527
+ .long 1012646874
+ .long 1695536111
+ .long 1073150453
+ .long 3980346340
+ .long 1016705136
+ .long 2363057203
+ .long 1073155033
+ .long 2551194792
+ .long 1012569695
+ .long 2873365682
+ .long 1073159327
+ .long 3181154748
+ .long 1017041450
+ .long 1053384691
+ .long 1073165288
+ .long 3074536879
+ .long 1016965660
+ .long 3270542712
+ .long 1073172451
+ .long 2535319415
+ .long 3163051778
+ .long 1353631484
+ .long 1073178850
+ .long 1173833755
+ .long 1015534537
+ .long 3511218460
+ .long 1073184599
+ .long 1243608109
+ .long 3161592122
+ .long 4121259284
+ .long 1073189793
+ .long 398584912
+ .long 3163829923
+ .long 1193862106
+ .long 1073194509
+ .long 1873745539
+ .long 3163802819
+ .long 3861949790
+ .long 1073198808
+ .long 3841261147
+ .long 1015587248
+ .long 1486904578
+ .long 1073202745
+ .long 1634726776
+ .long 3163847886
+ .long 2879153715
+ .long 1073206362
+ .long 200456242
+ .long 3164138657
+ .long 385353253
+ .long 1073209698
+ .long 1186355517
+ .long 1014887155
+ .long 1125865839
+ .long 1073212783
+ .long 203561262
+ .long 3161244927
+ .long 1221361475
+ .long 1073215645
+ .long 3382476563
+ .long 1014936138
+ .long 2077323573
+ .long 1073218307
+ .long 1005121005
+ .long 3164430752
+ .long 215611373
+ .long 1073220790
+ .long 353198764
+ .long 3164485137
+ .long 2347419265
+ .long 1073223110
+ .long 1103143360
+ .long 1016542137
+ .long 1379112765
+ .long 1073225284
+ .long 381583533
+ .long 3162870833
+ .long 3891198463
+ .long 1073228298
+ .long 1771275754
+ .long 1014654681
+ .long 3395914051
+ .long 1073231917
+ .long 2350900914
+ .long 3164013978
+ .long 2799919478
+ .long 1073235146
+ .long 2893950164
+ .long 3163260901
+ .long 1138673476
+ .long 1073238045
+ .long 2622204785
+ .long 3164174388
+ .long 3408855940
+ .long 1073240661
+ .long 2800881650
+ .long 1016008624
+ .long 2044858738
+ .long 1073243035
+ .long 604544785
+ .long 1017022901
+ .long 2578795176
+ .long 1073245198
+ .long 2557332925
+ .long 1016135165
+ .long 4196285314
+ .long 1073247177
+ .long 2032365307
+ .long 1016194735
+ .long 224877747
+ .long 1073248996
+ .long 497926916
+ .long 1016947111
+ .long 3271386490
+ .long 1073250671
+ .long 2689994846
+ .long 1016631513
+ .long 813635989
+ .long 1073252221
+ .long 747035277
+ .long 3164530136
+ .long 369829519
+ .long 1073253658
+ .long 2182033858
+ .long 3163190340
+ .long 1187679052
+ .long 1073254994
+ .long 673954443
+ .long 1016149821
+ .long 4232586098
+ .long 1073256239
+ .long 497775200
+ .long 3162179015
+ .long 426690558
+ .long 1073257404
+ .long 3063343247
+ .long 1016865578
+ .long 1624065902
+ .long 1073258494
+ .long 1354224996
+ .long 3163503778
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 4294901760
+ .long 0
+ .long 0
+ .long 0
+ .long 32768
+ .long 0
+ .long 0
+ .long 2006262985
+ .long 1069310863
+ .long 2358449471
+ .long 3217342131
+ .long 3845454352
+ .long 1069952297
+ .long 2829679149
+ .long 1073771565
+ .type static_const_table,@object
+ .size static_const_table,2704
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_cbrt.S b/libm/x86/s_cbrt.S
new file mode 100644
index 0000000..0c98c99
--- /dev/null
+++ b/libm/x86/s_cbrt.S
@@ -0,0 +1,738 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Assume x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52, where j = 0,1,2.
+// Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5],
+// where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in double precision
+// cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
+// (T stores the high 53 bits, D stores the low order bits)
+// Result=2^k*T+(2^k*T*r)*P+2^k*D
+// where P=p1+p2*r+..+p8*r^7
+//
+// Special cases:
+// cbrt(NaN) = quiet NaN, and raise invalid exception
+// cbrt(INF) = that INF
+// cbrt(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin cbrt
+ENTRY(cbrt)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %esi, 52(%esp)
+ call static_func
+ movl %eax, %esi
+ movsd 128(%esp), %xmm0
+ movapd %xmm0, %xmm7
+ movsd %xmm0, 8(%esp)
+ movl $524032, %edx
+ movsd 64(%esi), %xmm5
+ movsd 80(%esi), %xmm3
+ psrlq $44, %xmm7
+ pextrw $0, %xmm7, %ecx
+ movd %xmm7, %eax
+ movsd 96(%esi), %xmm1
+ movsd 112(%esi), %xmm2
+ movl %ebx, 16(%esp)
+ andl $248, %ecx
+ movsd 128(%ecx,%esi), %xmm4
+ movl %eax, %ebx
+ andl %eax, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_0.0.2
+ cmpl $524032, %edx
+ je .L_2TAG_PACKET_1.0.2
+ shrl $8, %edx
+ shrl $8, %ebx
+ andpd %xmm0, %xmm2
+ andpd %xmm5, %xmm0
+ orpd %xmm2, %xmm3
+ orpd %xmm0, %xmm1
+ movapd (%esi), %xmm5
+ movl $5462, %eax
+ movapd 16(%esi), %xmm6
+ mull %edx
+ movl %ebx, %edx
+ andl $2047, %ebx
+ shrl $14, %eax
+ andl $2048, %edx
+ subl %eax, %ebx
+ subl %eax, %ebx
+ subl %eax, %ebx
+ shll $8, %ebx
+ addl $682, %eax
+ orl %edx, %eax
+ movd %eax, %xmm7
+ addl %ebx, %ecx
+ psllq $52, %xmm7
+.L_2TAG_PACKET_2.0.2:
+ movapd 32(%esi), %xmm2
+ movapd 48(%esi), %xmm0
+ subsd %xmm3, %xmm1
+ movq %xmm7, %xmm3
+ mulsd 384(%ecx,%esi), %xmm7
+ mulsd %xmm4, %xmm1
+ mulsd 1152(%ecx,%esi), %xmm3
+ movapd %xmm1, %xmm4
+ unpcklpd %xmm1, %xmm1
+ mulpd %xmm1, %xmm5
+ mulpd %xmm1, %xmm6
+ mulpd %xmm1, %xmm1
+ addpd %xmm5, %xmm2
+ addpd %xmm6, %xmm0
+ mulpd %xmm1, %xmm2
+ mulpd %xmm1, %xmm1
+ mulsd %xmm7, %xmm4
+ addpd %xmm2, %xmm0
+ movl 16(%esp), %ebx
+ mulsd %xmm0, %xmm1
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ mulsd %xmm4, %xmm0
+ addsd %xmm3, %xmm0
+ addsd %xmm7, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_0.0.2:
+ mulsd 1984(%esi), %xmm0
+ movq %xmm0, %xmm7
+ movl $524032, %edx
+ psrlq $44, %xmm7
+ pextrw $0, %xmm7, %ecx
+ movd %xmm7, %eax
+ andl $248, %ecx
+ movsd 128(%ecx,%esi), %xmm4
+ movl %eax, %ebx
+ andl %eax, %edx
+ shrl $8, %edx
+ shrl $8, %ebx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_4.0.2
+ andpd %xmm0, %xmm2
+ andpd %xmm5, %xmm0
+ orpd %xmm2, %xmm3
+ orpd %xmm0, %xmm1
+ movapd (%esi), %xmm5
+ movl $5462, %eax
+ movapd 16(%esi), %xmm6
+ mull %edx
+ movl %ebx, %edx
+ andl $2047, %ebx
+ shrl $14, %eax
+ andl $2048, %edx
+ subl %eax, %ebx
+ subl %eax, %ebx
+ subl %eax, %ebx
+ shll $8, %ebx
+ addl $661, %eax
+ orl %edx, %eax
+ movd %eax, %xmm7
+ addl %ebx, %ecx
+ psllq $52, %xmm7
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_4.0.2:
+ cmpl $0, %ebx
+ jne .L_2TAG_PACKET_5.0.2
+ movl 16(%esp), %ebx
+ fldl 1952(%esi)
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_5.0.2:
+ movl 16(%esp), %ebx
+ fldl 1968(%esi)
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_1.0.2:
+ movl 16(%esp), %ebx
+ movl 132(%esp), %eax
+ movl 128(%esp), %edx
+ movl %eax, %ecx
+ andl $2147483647, %ecx
+ cmpl $2146435072, %ecx
+ ja .L_2TAG_PACKET_6.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_6.0.2
+ cmpl $2146435072, %eax
+ jne .L_2TAG_PACKET_7.0.2
+ fldl 1920(%esi)
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_7.0.2:
+ fldl 1936(%esi)
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_6.0.2:
+ movsd 8(%esp), %xmm0
+ addsd %xmm0, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+.L_2TAG_PACKET_3.0.2:
+ movl 52(%esp), %esi
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(cbrt)
+# -- End cbrt
+
+# Start file scope ASM
+ALIAS_SYMBOL(cbrtl, cbrt);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 1553778919
+ .long 3213899486
+ .long 3534952507
+ .long 3215266280
+ .long 1646371399
+ .long 3214412045
+ .long 477218588
+ .long 3216798151
+ .long 3582521621
+ .long 1066628362
+ .long 1007461464
+ .long 1068473053
+ .long 889629714
+ .long 1067378449
+ .long 1431655765
+ .long 1070945621
+ .long 4294967295
+ .long 1048575
+ .long 0
+ .long 0
+ .long 0
+ .long 3220193280
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 1032192
+ .long 0
+ .long 0
+ .long 528611360
+ .long 3220144632
+ .long 2884679527
+ .long 3220082993
+ .long 1991868891
+ .long 3220024928
+ .long 2298714891
+ .long 3219970134
+ .long 58835168
+ .long 3219918343
+ .long 3035110223
+ .long 3219869313
+ .long 1617585086
+ .long 3219822831
+ .long 2500867033
+ .long 3219778702
+ .long 4241943008
+ .long 3219736752
+ .long 258732970
+ .long 3219696825
+ .long 404232216
+ .long 3219658776
+ .long 2172167368
+ .long 3219622476
+ .long 1544257904
+ .long 3219587808
+ .long 377579543
+ .long 3219554664
+ .long 1616385542
+ .long 3219522945
+ .long 813783277
+ .long 3219492562
+ .long 3940743189
+ .long 3219463431
+ .long 2689777499
+ .long 3219435478
+ .long 1700977147
+ .long 3219408632
+ .long 3169102082
+ .long 3219382828
+ .long 327235604
+ .long 3219358008
+ .long 1244336319
+ .long 3219334115
+ .long 1300311200
+ .long 3219311099
+ .long 3095471925
+ .long 3219288912
+ .long 2166487928
+ .long 3219267511
+ .long 2913108253
+ .long 3219246854
+ .long 293672978
+ .long 3219226904
+ .long 288737297
+ .long 3219207624
+ .long 1810275472
+ .long 3219188981
+ .long 174592167
+ .long 3219170945
+ .long 3539053052
+ .long 3219153485
+ .long 2164392968
+ .long 3219136576
+ .long 572345495
+ .long 1072698681
+ .long 1998204467
+ .long 1072709382
+ .long 3861501553
+ .long 1072719872
+ .long 2268192434
+ .long 1072730162
+ .long 2981979308
+ .long 1072740260
+ .long 270859143
+ .long 1072750176
+ .long 2958651392
+ .long 1072759916
+ .long 313113243
+ .long 1072769490
+ .long 919449400
+ .long 1072778903
+ .long 2809328903
+ .long 1072788162
+ .long 2222981587
+ .long 1072797274
+ .long 2352530781
+ .long 1072806244
+ .long 594152517
+ .long 1072815078
+ .long 1555767199
+ .long 1072823780
+ .long 4282421314
+ .long 1072832355
+ .long 2355578597
+ .long 1072840809
+ .long 1162590619
+ .long 1072849145
+ .long 797864051
+ .long 1072857367
+ .long 431273680
+ .long 1072865479
+ .long 2669831148
+ .long 1072873484
+ .long 733477752
+ .long 1072881387
+ .long 4280220604
+ .long 1072889189
+ .long 801961634
+ .long 1072896896
+ .long 2915370760
+ .long 1072904508
+ .long 1159613482
+ .long 1072912030
+ .long 2689944798
+ .long 1072919463
+ .long 1248687822
+ .long 1072926811
+ .long 2967951030
+ .long 1072934075
+ .long 630170432
+ .long 1072941259
+ .long 3760898254
+ .long 1072948363
+ .long 0
+ .long 1072955392
+ .long 2370273294
+ .long 1072962345
+ .long 1261754802
+ .long 1072972640
+ .long 546334065
+ .long 1072986123
+ .long 1054893830
+ .long 1072999340
+ .long 1571187597
+ .long 1073012304
+ .long 1107975175
+ .long 1073025027
+ .long 3606909377
+ .long 1073037519
+ .long 1113616747
+ .long 1073049792
+ .long 4154744632
+ .long 1073061853
+ .long 3358931423
+ .long 1073073713
+ .long 4060702372
+ .long 1073085379
+ .long 747576176
+ .long 1073096860
+ .long 3023138255
+ .long 1073108161
+ .long 1419988548
+ .long 1073119291
+ .long 1914185305
+ .long 1073130255
+ .long 294389948
+ .long 1073141060
+ .long 3761802570
+ .long 1073151710
+ .long 978281566
+ .long 1073162213
+ .long 823148820
+ .long 1073172572
+ .long 2420954441
+ .long 1073182792
+ .long 3815449908
+ .long 1073192878
+ .long 2046058587
+ .long 1073202835
+ .long 1807524753
+ .long 1073212666
+ .long 2628681401
+ .long 1073222375
+ .long 3225667357
+ .long 1073231966
+ .long 1555307421
+ .long 1073241443
+ .long 3454043099
+ .long 1073250808
+ .long 1208137896
+ .long 1073260066
+ .long 3659916772
+ .long 1073269218
+ .long 1886261264
+ .long 1073278269
+ .long 3593647839
+ .long 1073287220
+ .long 3086012205
+ .long 1073296075
+ .long 2769796922
+ .long 1073304836
+ .long 888716057
+ .long 1073317807
+ .long 2201465623
+ .long 1073334794
+ .long 164369365
+ .long 1073351447
+ .long 3462666733
+ .long 1073367780
+ .long 2773905457
+ .long 1073383810
+ .long 1342879088
+ .long 1073399550
+ .long 2543933975
+ .long 1073415012
+ .long 1684477781
+ .long 1073430209
+ .long 3532178543
+ .long 1073445151
+ .long 1147747300
+ .long 1073459850
+ .long 1928031793
+ .long 1073474314
+ .long 2079717015
+ .long 1073488553
+ .long 4016765315
+ .long 1073502575
+ .long 3670431139
+ .long 1073516389
+ .long 3549227225
+ .long 1073530002
+ .long 11637607
+ .long 1073543422
+ .long 588220169
+ .long 1073556654
+ .long 2635407503
+ .long 1073569705
+ .long 2042029317
+ .long 1073582582
+ .long 1925128962
+ .long 1073595290
+ .long 4136375664
+ .long 1073607834
+ .long 759964600
+ .long 1073620221
+ .long 4257606771
+ .long 1073632453
+ .long 297278907
+ .long 1073644538
+ .long 3655053093
+ .long 1073656477
+ .long 2442253172
+ .long 1073668277
+ .long 1111876799
+ .long 1073679941
+ .long 3330973139
+ .long 1073691472
+ .long 3438879452
+ .long 1073702875
+ .long 3671565478
+ .long 1073714153
+ .long 1317849547
+ .long 1073725310
+ .long 1642364115
+ .long 1073736348
+ .long 4050900474
+ .long 1014427190
+ .long 1157977860
+ .long 1016444461
+ .long 1374568199
+ .long 1017271387
+ .long 2809163288
+ .long 1016882676
+ .long 3742377377
+ .long 1013168191
+ .long 3101606597
+ .long 1017541672
+ .long 65224358
+ .long 1017217597
+ .long 2691591250
+ .long 1017266643
+ .long 4020758549
+ .long 1017689313
+ .long 1316310992
+ .long 1018030788
+ .long 1031537856
+ .long 1014090882
+ .long 3261395239
+ .long 1016413641
+ .long 886424999
+ .long 1016313335
+ .long 3114776834
+ .long 1014195875
+ .long 1681120620
+ .long 1017825416
+ .long 1329600273
+ .long 1016625740
+ .long 465474623
+ .long 1017097119
+ .long 4251633980
+ .long 1017169077
+ .long 1986990133
+ .long 1017710645
+ .long 752958613
+ .long 1017159641
+ .long 2216216792
+ .long 1018020163
+ .long 4282860129
+ .long 1015924861
+ .long 1557627859
+ .long 1016039538
+ .long 3889219754
+ .long 1018086237
+ .long 3684996408
+ .long 1017353275
+ .long 723532103
+ .long 1017717141
+ .long 2951149676
+ .long 1012528470
+ .long 831890937
+ .long 1017830553
+ .long 1031212645
+ .long 1017387331
+ .long 2741737450
+ .long 1017604974
+ .long 2863311531
+ .long 1003776682
+ .long 4276736099
+ .long 1013153088
+ .long 4111778382
+ .long 1015673686
+ .long 1728065769
+ .long 1016413986
+ .long 2708718031
+ .long 1018078833
+ .long 1069335005
+ .long 1015291224
+ .long 700037144
+ .long 1016482032
+ .long 2904566452
+ .long 1017226861
+ .long 4074156649
+ .long 1017622651
+ .long 25019565
+ .long 1015245366
+ .long 3601952608
+ .long 1015771755
+ .long 3267129373
+ .long 1017904664
+ .long 503203103
+ .long 1014921629
+ .long 2122011730
+ .long 1018027866
+ .long 3927295461
+ .long 1014189456
+ .long 2790625147
+ .long 1016024251
+ .long 1330460186
+ .long 1016940346
+ .long 4033568463
+ .long 1015538390
+ .long 3695818227
+ .long 1017509621
+ .long 257573361
+ .long 1017208868
+ .long 3227697852
+ .long 1017337964
+ .long 234118548
+ .long 1017169577
+ .long 4009025803
+ .long 1017278524
+ .long 1948343394
+ .long 1017749310
+ .long 678398162
+ .long 1018144239
+ .long 3083864863
+ .long 1016669086
+ .long 2415453452
+ .long 1017890370
+ .long 175467344
+ .long 1017330033
+ .long 3197359580
+ .long 1010339928
+ .long 2071276951
+ .long 1015941358
+ .long 268372543
+ .long 1016737773
+ .long 938132959
+ .long 1017389108
+ .long 1816750559
+ .long 1017337448
+ .long 4119203749
+ .long 1017152174
+ .long 2578653878
+ .long 1013108497
+ .long 2470331096
+ .long 1014678606
+ .long 123855735
+ .long 1016553320
+ .long 1265650889
+ .long 1014782687
+ .long 3414398172
+ .long 1017182638
+ .long 1040773369
+ .long 1016158401
+ .long 3483628886
+ .long 1016886550
+ .long 4140499405
+ .long 1016191425
+ .long 3893477850
+ .long 1016964495
+ .long 3935319771
+ .long 1009634717
+ .long 2978982660
+ .long 1015027112
+ .long 2452709923
+ .long 1017990229
+ .long 3190365712
+ .long 1015835149
+ .long 4237588139
+ .long 1015832925
+ .long 2610678389
+ .long 1017962711
+ .long 2127316774
+ .long 1017405770
+ .long 824267502
+ .long 1017959463
+ .long 2165924042
+ .long 1017912225
+ .long 2774007076
+ .long 1013257418
+ .long 4123916326
+ .long 1017582284
+ .long 1976417958
+ .long 1016959909
+ .long 4092806412
+ .long 1017711279
+ .long 119251817
+ .long 1015363631
+ .long 3475418768
+ .long 1017675415
+ .long 1972580503
+ .long 1015470684
+ .long 815541017
+ .long 1017517969
+ .long 2429917451
+ .long 1017397776
+ .long 4062888482
+ .long 1016749897
+ .long 68284153
+ .long 1017925678
+ .long 2207779246
+ .long 1016320298
+ .long 1183466520
+ .long 1017408657
+ .long 143326427
+ .long 1017060403
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 0
+ .long 0
+ .long 4293918720
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 1138753536
+ .long 0
+ .long 0
+ .type static_const_table,@object
+ .size static_const_table,2000
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_cos.S b/libm/x86/s_cos.S
new file mode 100644
index 0000000..fd5ef5d
--- /dev/null
+++ b/libm/x86/s_cos.S
@@ -0,0 +1,892 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// 1. RANGE REDUCTION
+//
+// We perform an initial range reduction from X to r with
+//
+// X =~= N * pi/32 + r
+//
+// so that |r| <= pi/64 + epsilon. We restrict inputs to those
+// where |N| <= 932560. Beyond this, the range reduction is
+// insufficiently accurate. For extremely small inputs,
+// denormalization can occur internally, impacting performance.
+// This means that the main path is actually only taken for
+// 2^-252 <= |X| < 90112.
+//
+// To avoid branches, we perform the range reduction to full
+// accuracy each time.
+//
+// X - N * (P_1 + P_2 + P_3)
+//
+// where P_1 and P_2 are 32-bit numbers (so multiplication by N
+// is exact) and P_3 is a 53-bit number. Together, these
+// approximate pi well enough for all cases in the restricted
+// range.
+//
+// The main reduction sequence is:
+//
+// y = 32/pi * x
+// N = integer(y)
+// (computed by adding and subtracting off SHIFTER)
+//
+// m_1 = N * P_1
+// m_2 = N * P_2
+// r_1 = x - m_1
+// r = r_1 - m_2
+// (this r can be used for most of the calculation)
+//
+// c_1 = r_1 - r
+// m_3 = N * P_3
+// c_2 = c_1 - m_2
+// c = c_2 - m_3
+//
+// 2. MAIN ALGORITHM
+//
+// The algorithm uses a table lookup based on B = M * pi / 32
+// where M = N mod 64. The stored values are:
+// sigma closest power of 2 to cos(B)
+// C_hl 53-bit cos(B) - sigma
+// S_hi + S_lo 2 * 53-bit sin(B)
+//
+// The computation is organized as follows:
+//
+// sin(B + r + c) = [sin(B) + sigma * r] +
+// r * (cos(B) - sigma) +
+// sin(B) * [cos(r + c) - 1] +
+// cos(B) * [sin(r + c) - r]
+//
+// which is approximately:
+//
+// [S_hi + sigma * r] +
+// C_hl * r +
+// S_lo + S_hi * [(cos(r) - 1) - r * c] +
+// (C_hl + sigma) * [(sin(r) - r) + c]
+//
+// and this is what is actually computed. We separate this sum
+// into four parts:
+//
+// hi + med + pols + corr
+//
+// where
+//
+// hi = S_hi + sigma r
+// med = C_hl * r
+// pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+// corr = S_lo + c * ((C_hl + sigma) - S_hi * r)
+//
+// 3. POLYNOMIAL
+//
+// The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+// (sin(r) - r) can be rearranged freely, since it is quite
+// small, so we exploit parallelism to the fullest.
+//
+// psc4 = SC_4 * r_1
+// msc4 = psc4 * r
+// r2 = r * r
+// msc2 = SC_2 * r2
+// r4 = r2 * r2
+// psc3 = SC_3 + msc4
+// psc1 = SC_1 + msc2
+// msc3 = r4 * psc3
+// sincospols = psc1 + msc3
+// pols = sincospols *
+// <S_hi * r^2 | (C_hl + sigma) * r^3>
+//
+// 4. CORRECTION TERM
+//
+// This is where the "c" component of the range reduction is
+// taken into account; recall that just "r" is used for most of
+// the calculation.
+//
+// -c = m_3 - c_2
+// -d = S_hi * r - (C_hl + sigma)
+// corr = -c * -d + S_lo
+//
+// 5. COMPENSATED SUMMATIONS
+//
+// The two successive compensated summations add up the high
+// and medium parts, leaving just the low parts to add up at
+// the end.
+//
+// rs = sigma * r
+// res_int = S_hi + rs
+// k_0 = S_hi - res_int
+// k_2 = k_0 + rs
+// med = C_hl * r
+// res_hi = res_int + med
+// k_1 = res_int - res_hi
+// k_3 = k_1 + med
+//
+// 6. FINAL SUMMATION
+//
+// We now add up all the small parts:
+//
+// res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+//
+// Now the overall result is just:
+//
+// res_hi + res_lo
+//
+// 7. SMALL ARGUMENTS
+//
+// Inputs with |X| < 2^-252 are treated specially as
+// 1 - |x|.
+//
+// Special cases:
+// cos(NaN) = quiet NaN, and raise invalid exception
+// cos(INF) = NaN and raise invalid exception
+// cos(0) = 1
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin cos
+ENTRY(cos)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 56(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ subl $12336, %eax
+ cmpl $4293, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ movsd 2160(%ebx), %xmm1
+ mulsd %xmm0, %xmm1
+ movapd 2240(%ebx), %xmm5
+ movsd 2224(%ebx), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ movsd 2128(%ebx), %xmm3
+ movapd 2112(%ebx), %xmm2
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %edx
+ cvtsi2sdl %edx, %xmm1
+ mulsd %xmm1, %xmm3
+ unpcklpd %xmm1, %xmm1
+ addl $1865232, %edx
+ movapd %xmm0, %xmm4
+ andl $63, %edx
+ movapd 2096(%ebx), %xmm5
+ lea (%ebx), %eax
+ shll $5, %edx
+ addl %edx, %eax
+ mulpd %xmm1, %xmm2
+ subsd %xmm3, %xmm0
+ mulsd 2144(%ebx), %xmm1
+ subsd %xmm3, %xmm4
+ movsd 8(%eax), %xmm7
+ unpcklpd %xmm0, %xmm0
+ movapd %xmm4, %xmm3
+ subsd %xmm2, %xmm4
+ mulpd %xmm0, %xmm5
+ subpd %xmm2, %xmm0
+ movapd 2064(%ebx), %xmm6
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm2, %xmm3
+ movapd (%eax), %xmm2
+ subsd %xmm3, %xmm1
+ movsd 24(%eax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd 2080(%ebx), %xmm5
+ mulsd (%eax), %xmm4
+ addpd 2048(%ebx), %xmm6
+ mulpd %xmm0, %xmm5
+ movapd %xmm3, %xmm0
+ addsd 8(%eax), %xmm3
+ mulpd %xmm7, %xmm1
+ movapd %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movsd 8(%eax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%eax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm0, %xmm5
+ addsd %xmm7, %xmm3
+ addsd %xmm5, %xmm1
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ unpckhpd %xmm6, %xmm6
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm4
+ movsd %xmm4, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ jg .L_2TAG_PACKET_2.0.2
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ pinsrw $3, %eax, %xmm0
+ movsd 2192(%ebx), %xmm1
+ subsd %xmm0, %xmm1
+ movsd %xmm1, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movl 132(%esp), %eax
+ andl $2146435072, %eax
+ cmpl $2146435072, %eax
+ je .L_2TAG_PACKET_3.0.2
+ subl $32, %esp
+ movsd %xmm0, (%esp)
+ lea 40(%esp), %eax
+ movl %eax, 8(%esp)
+ movl $1, %eax
+ movl %eax, 12(%esp)
+ call __libm_sincos_huge
+ addl $32, %esp
+ fldl 8(%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_3.0.2:
+ fldl 128(%esp)
+ fmull 2208(%ebx)
+.L_2TAG_PACKET_1.0.2:
+ movl 56(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(cos)
+# -- End cos
+
+# Start file scope ASM
+ALIAS_SYMBOL(cosl, cos);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 1072693248
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 1072693248
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 1071644672
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 1071644672
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 1070596096
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 1070596096
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 1069547520
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 3217031168
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 3218079744
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 3218079744
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 3219128320
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 3219128320
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 3220176896
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 3220176896
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 3219128320
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 3219128320
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 3218079744
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 3218079744
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 3217031168
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 1069547520
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 1070596096
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 1070596096
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 1071644672
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 1071644672
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 1072693248
+ .long 1431655765
+ .long 3217380693
+ .long 0
+ .long 3219128320
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1067799893
+ .long 436314138
+ .long 3207201184
+ .long 381774871
+ .long 3210133868
+ .long 2773927732
+ .long 1053236707
+ .long 436314138
+ .long 1056571808
+ .long 442499072
+ .long 1032893537
+ .long 442499072
+ .long 1032893537
+ .long 1413480448
+ .long 1069097467
+ .long 0
+ .long 0
+ .long 771977331
+ .long 996350346
+ .long 0
+ .long 0
+ .long 1841940611
+ .long 1076125488
+ .long 0
+ .long 0
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .type static_const_table,@object
+ .size static_const_table,2256
+ .data
+ .hidden __libm_sincos_huge
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_expm1.S b/libm/x86/s_expm1.S
new file mode 100644
index 0000000..1f9e87b
--- /dev/null
+++ b/libm/x86/s_expm1.S
@@ -0,0 +1,702 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Description:
+// Let K = 64 (table size).
+//
+// Four sub-domains:
+// 1. |x| < 1/(2*K)
+// expm1(x) ~ P(x)
+// 2. 1/(2*K) <= |x| <= 56*log(2)
+// x x/log(2) n
+// e - 1 = 2 = 2 * T[j] * (1 + P(y)) - 1
+// 3. 56*log(2) < x < MAX_LOG
+// x x x/log(2) n
+// e - 1 ~ e = 2 = 2 * T[j] * (1 + P(y))
+// 4. x < -56*log(2)
+// x x
+// e - 1 = -1 + e ~ -1
+// where
+// x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K]
+// m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
+// j/K
+// values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]).
+//
+// P(y) is a minimax polynomial approximation of exp(x)-1
+// on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V).
+//
+// In case 3, to avoid problems with arithmetic overflow and underflow,
+// n n1 n2
+// value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2]
+// and BIAS is a value of exponent bias.
+//
+// Special cases:
+// expm1(NaN) is NaN
+// expm1(+INF) is +INF
+// expm1(-INF) is -1
+// expm1(x) is x for subnormals
+// for finite argument, only expm1(0)=0 is exact.
+// For IEEE double
+// if x > 709.782712893383973096 then expm1(x) overflow
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin expm1
+ENTRY(expm1)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 64(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ unpcklpd %xmm0, %xmm0
+ movapd 64(%ebx), %xmm1
+ movapd 48(%ebx), %xmm6
+ movapd 80(%ebx), %xmm2
+ movapd 96(%ebx), %xmm3
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ movl $16527, %edx
+ subl %eax, %edx
+ subl $16304, %eax
+ orl %eax, %edx
+ cmpl $-2147483648, %edx
+ jae .L_2TAG_PACKET_0.0.2
+ mulpd %xmm0, %xmm1
+ addpd %xmm6, %xmm1
+ movapd %xmm1, %xmm7
+ subpd %xmm6, %xmm1
+ mulpd %xmm1, %xmm2
+ movapd 112(%ebx), %xmm4
+ mulpd %xmm1, %xmm3
+ movapd 128(%ebx), %xmm5
+ subpd %xmm2, %xmm0
+ movd %xmm7, %eax
+ movl %eax, %ecx
+ andl $63, %ecx
+ shll $4, %ecx
+ sarl $6, %eax
+ movl %eax, %edx
+ subpd %xmm3, %xmm0
+ movapd 160(%ebx,%ecx), %xmm2
+ movsd 144(%ebx), %xmm3
+ mulpd %xmm0, %xmm4
+ movapd %xmm0, %xmm1
+ mulpd %xmm0, %xmm0
+ mulsd %xmm0, %xmm3
+ addpd %xmm4, %xmm5
+ mulsd %xmm0, %xmm0
+ movapd %xmm2, %xmm4
+ unpckhpd %xmm2, %xmm2
+ movdqa 16(%ebx), %xmm6
+ pand %xmm6, %xmm7
+ movdqa 32(%ebx), %xmm6
+ paddq %xmm6, %xmm7
+ psllq $46, %xmm7
+ mulsd %xmm0, %xmm3
+ mulpd %xmm5, %xmm0
+ addl $894, %edx
+ cmpl $1916, %edx
+ ja .L_2TAG_PACKET_1.0.2
+ addsd %xmm3, %xmm0
+ xorpd %xmm3, %xmm3
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm3
+ orpd %xmm7, %xmm2
+ mulsd %xmm4, %xmm7
+ movapd %xmm3, %xmm6
+ addsd %xmm1, %xmm3
+ pextrw $3, %xmm2, %edx
+ pshufd $238, %xmm0, %xmm5
+ psrlq $38, %xmm3
+ psllq $38, %xmm3
+ movapd %xmm2, %xmm4
+ subsd %xmm3, %xmm6
+ addsd %xmm5, %xmm0
+ addsd %xmm6, %xmm1
+ addsd %xmm7, %xmm4
+ mulsd %xmm3, %xmm7
+ mulsd %xmm2, %xmm3
+ xorpd %xmm5, %xmm5
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm5
+ addsd %xmm1, %xmm0
+ movl $17184, %ecx
+ subl %edx, %ecx
+ subl $16256, %edx
+ orl %edx, %ecx
+ jl .L_2TAG_PACKET_2.0.2
+ mulsd %xmm4, %xmm0
+ subsd %xmm5, %xmm3
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+.L_2TAG_PACKET_3.0.2:
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_2.0.2:
+ cmpl $0, %edx
+ jl .L_2TAG_PACKET_5.0.2
+ mulsd %xmm4, %xmm0
+ subsd %xmm5, %xmm7
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_5.0.2:
+ mulsd %xmm4, %xmm0
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ subsd %xmm5, %xmm0
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_1.0.2:
+ movl 132(%esp), %ecx
+ addsd %xmm0, %xmm1
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ cmpl $0, %ecx
+ jl .L_2TAG_PACKET_6.0.2
+ fstcw 24(%esp)
+ movzwl 24(%esp), %edx
+ orl $768, %edx
+ movw %dx, 28(%esp)
+ fldcw 28(%esp)
+ movl %eax, %edx
+ sarl $1, %eax
+ subl %eax, %edx
+ movdqa (%ebx), %xmm6
+ pandn %xmm2, %xmm6
+ addl $1023, %eax
+ movd %eax, %xmm3
+ psllq $52, %xmm3
+ orpd %xmm3, %xmm6
+ mulsd %xmm3, %xmm4
+ movsd %xmm0, 8(%esp)
+ fldl 8(%esp)
+ movsd %xmm6, 16(%esp)
+ fldl 16(%esp)
+ movsd %xmm4, 16(%esp)
+ fldl 16(%esp)
+ addl $1023, %edx
+ movd %edx, %xmm4
+ psllq $52, %xmm4
+ faddp %st, %st(1)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ movsd %xmm4, 8(%esp)
+ fldl 8(%esp)
+ fmulp %st, %st(1)
+ fstpl 8(%esp)
+ movsd 8(%esp), %xmm0
+ fldcw 24(%esp)
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_7.0.2
+ jmp .L_2TAG_PACKET_4.0.2
+ cmpl $-2147483648, %ecx
+ jb .L_2TAG_PACKET_7.0.2
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_7.0.2:
+ movl $41, %edx
+.L_2TAG_PACKET_8.0.2:
+ movsd %xmm0, (%esp)
+ movsd 128(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_10.0.2:
+ cmpl $2146435072, %eax
+ jae .L_2TAG_PACKET_11.0.2
+ movsd 1272(%ebx), %xmm0
+ mulsd %xmm0, %xmm0
+ movl $41, %edx
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_11.0.2:
+ movl 132(%esp), %eax
+ movl 128(%esp), %edx
+ movl %eax, %ecx
+ andl $2147483647, %eax
+ cmpl $2146435072, %eax
+ ja .L_2TAG_PACKET_12.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_12.0.2
+ cmpl $0, %ecx
+ jl .L_2TAG_PACKET_13.0.2
+ movsd 1256(%ebx), %xmm0
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_13.0.2:
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_12.0.2:
+ movsd 128(%esp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_14.0.2:
+ addl $16304, %eax
+ cmpl $15504, %eax
+ jb .L_2TAG_PACKET_15.0.2
+ movapd 1184(%ebx), %xmm2
+ pshufd $68, %xmm0, %xmm1
+ movapd 1200(%ebx), %xmm3
+ movapd 1216(%ebx), %xmm4
+ movsd 1232(%ebx), %xmm5
+ mulsd %xmm1, %xmm1
+ xorpd %xmm6, %xmm6
+ movl $16352, %eax
+ pinsrw $3, %eax, %xmm6
+ mulpd %xmm0, %xmm2
+ xorpd %xmm7, %xmm7
+ movl $16368, %edx
+ pinsrw $3, %edx, %xmm7
+ addpd %xmm3, %xmm2
+ mulsd %xmm1, %xmm5
+ pshufd $228, %xmm1, %xmm3
+ mulpd %xmm1, %xmm1
+ mulsd %xmm0, %xmm6
+ mulpd %xmm0, %xmm2
+ addpd %xmm4, %xmm2
+ movapd %xmm7, %xmm4
+ addsd %xmm6, %xmm7
+ mulpd %xmm3, %xmm1
+ psrlq $27, %xmm7
+ psllq $27, %xmm7
+ movsd 1288(%ebx), %xmm3
+ subsd %xmm7, %xmm4
+ mulpd %xmm1, %xmm2
+ addsd %xmm4, %xmm6
+ pshufd $238, %xmm2, %xmm1
+ addsd %xmm2, %xmm6
+ andpd %xmm0, %xmm3
+ movapd %xmm0, %xmm4
+ addsd %xmm6, %xmm1
+ subsd %xmm3, %xmm0
+ addsd %xmm5, %xmm1
+ mulsd %xmm7, %xmm3
+ mulsd %xmm7, %xmm0
+ mulsd %xmm1, %xmm4
+ addsd %xmm4, %xmm0
+ addsd %xmm3, %xmm0
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_15.0.2:
+ cmpl $16, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ movapd %xmm0, %xmm2
+ movd %xmm0, %eax
+ psrlq $31, %xmm2
+ movd %xmm2, %ecx
+ orl %ecx, %eax
+ je .L_2TAG_PACKET_3.0.2
+ movl $16, %edx
+ xorpd %xmm1, %xmm1
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm1
+ movl $42, %edx
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_0.0.2:
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_14.0.2
+ movl 132(%esp), %eax
+ cmpl $1083179008, %eax
+ jge .L_2TAG_PACKET_10.0.2
+ cmpl $-1048576, %eax
+ jae .L_2TAG_PACKET_11.0.2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_4.0.2:
+ movsd %xmm0, 48(%esp)
+ fldl 48(%esp)
+.L_2TAG_PACKET_9.0.2:
+ movl 64(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(expm1)
+# -- End expm1
+
+# Start file scope ASM
+ALIAS_SYMBOL(expm1l, expm1);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 4293918720
+ .long 0
+ .long 4293918720
+ .long 4294967232
+ .long 0
+ .long 4294967232
+ .long 0
+ .long 65472
+ .long 0
+ .long 65472
+ .long 0
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .long 1697350398
+ .long 1079448903
+ .long 1697350398
+ .long 1079448903
+ .long 4277796864
+ .long 1065758274
+ .long 4277796864
+ .long 1065758274
+ .long 3164486458
+ .long 1025308570
+ .long 3164486458
+ .long 1025308570
+ .long 1963358694
+ .long 1065423121
+ .long 1431655765
+ .long 1069897045
+ .long 1431655765
+ .long 1067799893
+ .long 0
+ .long 1071644672
+ .long 381774871
+ .long 1062650220
+ .long 381774871
+ .long 1062650220
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1000070955
+ .long 1042145304
+ .long 1040187392
+ .long 11418
+ .long 988267849
+ .long 1039500660
+ .long 3539992576
+ .long 22960
+ .long 36755401
+ .long 1042114290
+ .long 402653184
+ .long 34629
+ .long 3634769483
+ .long 1042178627
+ .long 1820327936
+ .long 46424
+ .long 2155991225
+ .long 1041560680
+ .long 847249408
+ .long 58348
+ .long 2766913307
+ .long 1039293264
+ .long 3489660928
+ .long 70401
+ .long 3651174602
+ .long 1040488175
+ .long 2927624192
+ .long 82586
+ .long 3073892131
+ .long 1042240606
+ .long 1006632960
+ .long 94904
+ .long 1328391742
+ .long 1042019037
+ .long 3942645760
+ .long 107355
+ .long 2650893825
+ .long 1041903210
+ .long 822083584
+ .long 119943
+ .long 2397289153
+ .long 1041802037
+ .long 2281701376
+ .long 132667
+ .long 430997175
+ .long 1042110606
+ .long 1845493760
+ .long 145530
+ .long 1230936525
+ .long 1041801015
+ .long 1702887424
+ .long 158533
+ .long 740675935
+ .long 1040178913
+ .long 4110417920
+ .long 171677
+ .long 3489810261
+ .long 1041825986
+ .long 2793406464
+ .long 184965
+ .long 2532600530
+ .long 1040767882
+ .long 167772160
+ .long 198398
+ .long 3542557060
+ .long 1041827263
+ .long 2986344448
+ .long 211976
+ .long 1401563777
+ .long 1041061093
+ .long 922746880
+ .long 225703
+ .long 3129406026
+ .long 1041852413
+ .long 880803840
+ .long 239579
+ .long 900993572
+ .long 1039283234
+ .long 1275068416
+ .long 253606
+ .long 2115029358
+ .long 1042140042
+ .long 562036736
+ .long 267786
+ .long 1086643152
+ .long 1041785419
+ .long 1610612736
+ .long 282120
+ .long 82864366
+ .long 1041256244
+ .long 3045064704
+ .long 296610
+ .long 2392968152
+ .long 1040913683
+ .long 3573547008
+ .long 311258
+ .long 2905856183
+ .long 1040002214
+ .long 1988100096
+ .long 326066
+ .long 3742008261
+ .long 1040011137
+ .long 1451229184
+ .long 341035
+ .long 863393794
+ .long 1040880621
+ .long 914358272
+ .long 356167
+ .long 1446136837
+ .long 1041372426
+ .long 3707764736
+ .long 371463
+ .long 927855201
+ .long 1040617636
+ .long 360710144
+ .long 386927
+ .long 1492679939
+ .long 1041050306
+ .long 2952790016
+ .long 402558
+ .long 608827001
+ .long 1041582217
+ .long 2181038080
+ .long 418360
+ .long 606260204
+ .long 1042271987
+ .long 1711276032
+ .long 434334
+ .long 3163044019
+ .long 1041843851
+ .long 1006632960
+ .long 450482
+ .long 4148747325
+ .long 1041962972
+ .long 3900702720
+ .long 466805
+ .long 802924201
+ .long 1041275378
+ .long 1442840576
+ .long 483307
+ .long 3052749833
+ .long 1041940577
+ .long 1937768448
+ .long 499988
+ .long 2216116399
+ .long 1041486744
+ .long 914358272
+ .long 516851
+ .long 2729697836
+ .long 1041445764
+ .long 2566914048
+ .long 533897
+ .long 540608356
+ .long 1041310907
+ .long 2600468480
+ .long 551129
+ .long 2916344493
+ .long 1040535661
+ .long 1107296256
+ .long 568549
+ .long 731391814
+ .long 1039497014
+ .long 2566914048
+ .long 586158
+ .long 1024722704
+ .long 1041461625
+ .long 2961178624
+ .long 603959
+ .long 3806831748
+ .long 1041732499
+ .long 2675965952
+ .long 621954
+ .long 238953304
+ .long 1040316488
+ .long 2189426688
+ .long 640145
+ .long 749123235
+ .long 1041725785
+ .long 2063597568
+ .long 658534
+ .long 1168187977
+ .long 1041175214
+ .long 2986344448
+ .long 677123
+ .long 3506096399
+ .long 1042186095
+ .long 1426063360
+ .long 695915
+ .long 1470221620
+ .long 1041675499
+ .long 2566914048
+ .long 714911
+ .long 3182425146
+ .long 1041483134
+ .long 3087007744
+ .long 734114
+ .long 3131698208
+ .long 1042208657
+ .long 4068474880
+ .long 753526
+ .long 2300504125
+ .long 1041428596
+ .long 2415919104
+ .long 773150
+ .long 2290297931
+ .long 1037388400
+ .long 3716153344
+ .long 792987
+ .long 3532148223
+ .long 1041626194
+ .long 771751936
+ .long 813041
+ .long 1161884404
+ .long 1042015258
+ .long 3699376128
+ .long 833312
+ .long 876383176
+ .long 1037968878
+ .long 1241513984
+ .long 853805
+ .long 3379986796
+ .long 1042213153
+ .long 3699376128
+ .long 874520
+ .long 1545797737
+ .long 1041681569
+ .long 58720256
+ .long 895462
+ .long 2925146801
+ .long 1042212567
+ .long 855638016
+ .long 916631
+ .long 1316627971
+ .long 1038516204
+ .long 3883925504
+ .long 938030
+ .long 3267869137
+ .long 1040337004
+ .long 2726297600
+ .long 959663
+ .long 3720868999
+ .long 1041782409
+ .long 3992977408
+ .long 981531
+ .long 433316142
+ .long 1041994064
+ .long 1526726656
+ .long 1003638
+ .long 781232103
+ .long 1040093400
+ .long 2172649472
+ .long 1025985
+ .long 2773927732
+ .long 1053236707
+ .long 381774871
+ .long 1062650220
+ .long 379653899
+ .long 1056571845
+ .long 286331153
+ .long 1065423121
+ .long 436314138
+ .long 1059717536
+ .long 1431655765
+ .long 1067799893
+ .long 1431655765
+ .long 1069897045
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 2146435071
+ .long 0
+ .long 1048576
+ .long 4227858432
+ .long 4294967295
+ .type static_const_table,@object
+ .size static_const_table,1296
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_log1p.S b/libm/x86/s_log1p.S
new file mode 100644
index 0000000..7a6d845
--- /dev/null
+++ b/libm/x86/s_log1p.S
@@ -0,0 +1,827 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpps instruction (B0)
+// B = int((B0*2^7+0.5))/2^7
+//
+// Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
+//
+// Result: k*log(2) - log(B) + p(r)
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log1p(NaN) = quiet NaN, and raise invalid exception
+// log1p(+INF) = that INF
+// log1p(x) = NaN if x < -1 or x = -INF, and raises invalid exception
+// log1p(-1) = -INF, and raises divide-by-zero exception
+// log1p(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin log1p
+ENTRY(log1p)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ xorpd %xmm3, %xmm3
+ movl $32768, %ecx
+ movd %ecx, %xmm4
+ movsd 2128(%ebx), %xmm5
+ pshufd $68, %xmm0, %xmm7
+ movapd %xmm2, %xmm6
+ pextrw $3, %xmm0, %ecx
+ addsd %xmm2, %xmm0
+ movapd %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ subsd %xmm0, %xmm6
+ orpd %xmm2, %xmm0
+ psllq $5, %xmm0
+ psrlq $34, %xmm0
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ addsd %xmm6, %xmm7
+ rcpss %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ andl $32752, %ecx
+ cmpl $16256, %ecx
+ jb .L_2TAG_PACKET_1.0.2
+ andl $32752, %eax
+ movl $32720, %ecx
+ subl %eax, %ecx
+ pinsrw $3, %ecx, %xmm3
+.L_2TAG_PACKET_2.0.2:
+ mulsd %xmm3, %xmm7
+ paddd %xmm4, %xmm0
+ xorpd %xmm4, %xmm4
+ movl $14336, %ecx
+ pinsrw $3, %ecx, %xmm4
+ orpd %xmm2, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm1, %xmm5
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm1
+ paddd %xmm4, %xmm0
+ mulsd %xmm0, %xmm5
+ movl $16352, %ecx
+ subl %ecx, %eax
+ cvtsi2sdl %eax, %xmm4
+ mulsd %xmm0, %xmm7
+ mulsd %xmm0, %xmm1
+ movsd 2064(%ebx), %xmm6
+ movapd 2080(%ebx), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd (%ebx,%edx), %xmm0
+ movapd 2096(%ebx), %xmm2
+ addsd %xmm5, %xmm1
+ movapd %xmm1, %xmm5
+ addsd %xmm7, %xmm1
+ subsd %xmm1, %xmm5
+ addsd %xmm5, %xmm7
+ mulsd %xmm4, %xmm6
+ mulsd 2072(%ebx), %xmm4
+ mulsd %xmm1, %xmm3
+ pshufd $68, %xmm1, %xmm5
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm2
+ mulpd %xmm5, %xmm5
+ pshufd $228, %xmm0, %xmm6
+ addsd %xmm1, %xmm0
+ addpd 2112(%ebx), %xmm2
+ mulpd %xmm5, %xmm3
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm2
+ addsd %xmm7, %xmm4
+ mulsd %xmm1, %xmm7
+ addsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm6
+ mulsd %xmm5, %xmm5
+ addsd %xmm6, %xmm4
+ subsd %xmm7, %xmm1
+ addpd %xmm3, %xmm2
+ addsd %xmm4, %xmm1
+ mulpd %xmm5, %xmm2
+ addsd %xmm2, %xmm1
+ pshufd $238, %xmm2, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_0.0.2:
+ movsd 112(%esp), %xmm0
+ movapd %xmm0, %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_4.0.2
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_6.0.2:
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_7.0.2:
+ ja .L_2TAG_PACKET_6.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_6.0.2
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_4.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_7.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_8.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ movl $141, %edx
+ mulsd %xmm1, %xmm0
+.L_2TAG_PACKET_9.0.2:
+ movsd %xmm0, (%esp)
+ movsd 112(%esp), %xmm0
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_10.0.2
+.L_2TAG_PACKET_5.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $140, %edx
+ jmp .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_1.0.2:
+ movsd 112(%esp), %xmm0
+ cmpl $15504, %ecx
+ jb .L_2TAG_PACKET_11.0.2
+ movapd 2144(%ebx), %xmm1
+ pshufd $68, %xmm0, %xmm0
+ movapd 2160(%ebx), %xmm2
+ pshufd $68, %xmm0, %xmm4
+ movapd 2176(%ebx), %xmm3
+ mulpd %xmm0, %xmm1
+ xorpd %xmm6, %xmm6
+ mulpd %xmm4, %xmm4
+ addpd %xmm2, %xmm1
+ pshufd $68, %xmm4, %xmm5
+ mulpd %xmm0, %xmm4
+ movl $49120, %eax
+ pinsrw $3, %eax, %xmm6
+ mulpd %xmm0, %xmm1
+ mulsd %xmm4, %xmm4
+ addpd %xmm3, %xmm1
+ mulsd %xmm6, %xmm5
+ mulpd %xmm4, %xmm1
+ pshufd $238, %xmm1, %xmm7
+ addsd %xmm7, %xmm1
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_11.0.2:
+ cmpl $16, %ecx
+ jb .L_2TAG_PACKET_12.0.2
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_12.0.2:
+ movapd %xmm0, %xmm1
+ mulsd %xmm1, %xmm1
+ jmp .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_3.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_10.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(log1p)
+# -- End log1p
+
+# Start file scope ASM
+ALIAS_SYMBOL(log1pl, log1p);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 4277811200
+ .long 1072049730
+ .long 2479318832
+ .long 1026487127
+ .long 2854492160
+ .long 1072033410
+ .long 215631550
+ .long 1025638968
+ .long 1547061248
+ .long 1072017216
+ .long 2886781435
+ .long 1026423395
+ .long 649825280
+ .long 1072001146
+ .long 4281533405
+ .long 1024038923
+ .long 646346752
+ .long 1071985198
+ .long 1562735921
+ .long 1023790276
+ .long 2203734016
+ .long 1071969370
+ .long 1838397691
+ .long 3173936209
+ .long 1872169984
+ .long 1071953661
+ .long 3981202460
+ .long 1022325013
+ .long 669557760
+ .long 1071938069
+ .long 4182597802
+ .long 3173174122
+ .long 4076413952
+ .long 1071922591
+ .long 1209029111
+ .long 3170736207
+ .long 556125184
+ .long 1071907228
+ .long 821086028
+ .long 3173437049
+ .long 204914688
+ .long 1071891976
+ .long 2097025986
+ .long 3171071798
+ .long 387545088
+ .long 1071876834
+ .long 3142936996
+ .long 3173092218
+ .long 2912783360
+ .long 1071861800
+ .long 2502420140
+ .long 1024505919
+ .long 1144260608
+ .long 1071846874
+ .long 3315658140
+ .long 3173469843
+ .long 1471209472
+ .long 1071832053
+ .long 129621009
+ .long 3172443877
+ .long 1829683200
+ .long 1071817336
+ .long 3885467693
+ .long 1025535275
+ .long 288676864
+ .long 1071802722
+ .long 86139472
+ .long 3171639793
+ .long 3636378624
+ .long 1071788208
+ .long 1850238587
+ .long 1024654342
+ .long 1606817792
+ .long 1071773795
+ .long 3388899795
+ .long 3173675586
+ .long 1236164608
+ .long 1071759480
+ .long 3983599207
+ .long 1020046558
+ .long 1089616896
+ .long 1071745262
+ .long 4171974224
+ .long 1024773198
+ .long 4143093760
+ .long 1071731139
+ .long 2727587401
+ .long 3173965207
+ .long 600267776
+ .long 1071717112
+ .long 3147685042
+ .long 3173353031
+ .long 2249313280
+ .long 1071703177
+ .long 125835074
+ .long 1025255832
+ .long 3805303808
+ .long 1071689334
+ .long 2289991207
+ .long 1025460331
+ .long 87278592
+ .long 1071675583
+ .long 1106114045
+ .long 1025933602
+ .long 3195405312
+ .long 1071661920
+ .long 3885316576
+ .long 3171206239
+ .long 3853649920
+ .long 1071648346
+ .long 2977069852
+ .long 3171236771
+ .long 2944026624
+ .long 1071625048
+ .long 1008093493
+ .long 1023444474
+ .long 3993180160
+ .long 1071598247
+ .long 1862355595
+ .long 1024642533
+ .long 1454641152
+ .long 1071571617
+ .long 1514603089
+ .long 1026500596
+ .long 3286085632
+ .long 1071545154
+ .long 1400028424
+ .long 3173279056
+ .long 438773760
+ .long 1071518858
+ .long 120727864
+ .long 3172148914
+ .long 1212979200
+ .long 1071492725
+ .long 1625055594
+ .long 3172901933
+ .long 1189017600
+ .long 1071466754
+ .long 3920062376
+ .long 1025727407
+ .long 403064832
+ .long 1071440943
+ .long 1053271728
+ .long 3171391427
+ .long 3343210496
+ .long 1071415289
+ .long 3243395502
+ .long 3173627613
+ .long 1765777408
+ .long 1071389792
+ .long 2145968512
+ .long 1026354304
+ .long 461430784
+ .long 1071364449
+ .long 4094322285
+ .long 1026021467
+ .long 71706624
+ .long 1071339258
+ .long 763632021
+ .long 1024496933
+ .long 1380503552
+ .long 1071314217
+ .long 1383547992
+ .long 3173088453
+ .long 1015732224
+ .long 1071289325
+ .long 3198646877
+ .long 1025390322
+ .long 35977216
+ .long 1071264580
+ .long 2141026805
+ .long 1025754693
+ .long 3927306240
+ .long 1071239979
+ .long 282116272
+ .long 3173394334
+ .long 1125341184
+ .long 1071215523
+ .long 2768427504
+ .long 3172279059
+ .long 1666971648
+ .long 1071191208
+ .long 786837629
+ .long 3172427445
+ .long 2827694080
+ .long 1071167033
+ .long 3857122416
+ .long 3173014241
+ .long 2003683328
+ .long 1071142997
+ .long 859010954
+ .long 1026545007
+ .long 1004017664
+ .long 1071119098
+ .long 3356644970
+ .long 3173458064
+ .long 1753020416
+ .long 1071095334
+ .long 788338552
+ .long 1026157693
+ .long 1992718336
+ .long 1071071704
+ .long 1239179443
+ .long 1026394889
+ .long 3870234624
+ .long 1071048206
+ .long 2082614663
+ .long 1024926053
+ .long 1050437632
+ .long 1071024840
+ .long 660007840
+ .long 1025548499
+ .long 188395520
+ .long 1071001603
+ .long 3878792704
+ .long 3173889571
+ .long 3747176448
+ .long 1070978493
+ .long 144991708
+ .long 3171552042
+ .long 1405669376
+ .long 1070955511
+ .long 3999088879
+ .long 1025486317
+ .long 121151488
+ .long 1070932654
+ .long 2170865497
+ .long 1026473584
+ .long 2652319744
+ .long 1070909920
+ .long 453695652
+ .long 3173916809
+ .long 3262236672
+ .long 1070887309
+ .long 157800053
+ .long 3173984206
+ .long 601221120
+ .long 1070864820
+ .long 3968917661
+ .long 1023992886
+ .long 1999843328
+ .long 1070842450
+ .long 3053895004
+ .long 1024998228
+ .long 1992167424
+ .long 1070820199
+ .long 2968614856
+ .long 1024552653
+ .long 3788726272
+ .long 1070798065
+ .long 3542170808
+ .long 3173573242
+ .long 2094829568
+ .long 1070776048
+ .long 1246758132
+ .long 1026202874
+ .long 288675840
+ .long 1070754146
+ .long 3747328950
+ .long 1026331585
+ .long 1829681152
+ .long 1070732357
+ .long 3125197546
+ .long 1024100318
+ .long 1666869248
+ .long 1070710681
+ .long 1363656119
+ .long 1026336493
+ .long 3417110528
+ .long 1070689116
+ .long 4154791553
+ .long 1026267853
+ .long 2183653376
+ .long 1070667662
+ .long 1671819292
+ .long 3173785870
+ .long 1734434816
+ .long 1070646317
+ .long 373091049
+ .long 1025972363
+ .long 1615681536
+ .long 1070625080
+ .long 384650897
+ .long 1022926043
+ .long 1445382144
+ .long 1070603950
+ .long 344320330
+ .long 3172397196
+ .long 1823715328
+ .long 1070569756
+ .long 3389841200
+ .long 1025231852
+ .long 3839688704
+ .long 1070527917
+ .long 1706790417
+ .long 3167363349
+ .long 4293332992
+ .long 1070486286
+ .long 1614935088
+ .long 1019351591
+ .long 2966720512
+ .long 1070444861
+ .long 4145393717
+ .long 3173711658
+ .long 4066729984
+ .long 1070403639
+ .long 1974925028
+ .long 3171437182
+ .long 3337621504
+ .long 1070362619
+ .long 3314953170
+ .long 3169971314
+ .long 943448064
+ .long 1070321799
+ .long 1498682038
+ .long 3173862340
+ .long 1465634816
+ .long 1070281176
+ .long 1319952810
+ .long 3171693965
+ .long 1015734272
+ .long 1070240749
+ .long 1347821929
+ .long 3173544515
+ .long 118001664
+ .long 1070200516
+ .long 1751482746
+ .long 1026134093
+ .long 3707174912
+ .long 1070160474
+ .long 1486946159
+ .long 1023930920
+ .long 3946381312
+ .long 1070120623
+ .long 2867408081
+ .long 3171368276
+ .long 1699848192
+ .long 1070080961
+ .long 2590187139
+ .long 1025379803
+ .long 2235846656
+ .long 1070041485
+ .long 1888568069
+ .long 3172754960
+ .long 2339729408
+ .long 1070002194
+ .long 3852214753
+ .long 3173323149
+ .long 3196850176
+ .long 1069963086
+ .long 742141560
+ .long 1025101707
+ .long 1800683520
+ .long 1069924160
+ .long 3949500444
+ .long 3172102179
+ .long 3835801600
+ .long 1069885413
+ .long 3848895943
+ .long 1025913832
+ .long 2201202688
+ .long 1069846845
+ .long 1425913464
+ .long 1025868665
+ .long 2778279936
+ .long 1069808453
+ .long 2120889677
+ .long 3173831128
+ .long 2954203136
+ .long 1069770236
+ .long 592147081
+ .long 1019621288
+ .long 210141184
+ .long 1069732193
+ .long 3414275233
+ .long 1023647084
+ .long 709476352
+ .long 1069694321
+ .long 2413027164
+ .long 1024462115
+ .long 2116284416
+ .long 1069656619
+ .long 1144559924
+ .long 1026336654
+ .long 2183651328
+ .long 1069619086
+ .long 3459057650
+ .long 1025634168
+ .long 3047047168
+ .long 1069581720
+ .long 1879674924
+ .long 3173508573
+ .long 970711040
+ .long 1069541521
+ .long 1335954173
+ .long 3173332182
+ .long 2198478848
+ .long 1069467449
+ .long 2951103968
+ .long 3173892200
+ .long 1669611520
+ .long 1069393703
+ .long 531044147
+ .long 1025149248
+ .long 29114368
+ .long 1069320280
+ .long 3327831251
+ .long 1025918673
+ .long 2376949760
+ .long 1069247176
+ .long 737634533
+ .long 3172176000
+ .long 1085390848
+ .long 1069174390
+ .long 3108243400
+ .long 3171828406
+ .long 1566130176
+ .long 1069101918
+ .long 985483226
+ .long 1025708380
+ .long 792780800
+ .long 1069029758
+ .long 4184866295
+ .long 1024426204
+ .long 183156736
+ .long 1068957907
+ .long 2845699378
+ .long 1022107277
+ .long 1301782528
+ .long 1068886362
+ .long 1012735262
+ .long 3173804294
+ .long 1562411008
+ .long 1068815121
+ .long 2197086703
+ .long 3170187813
+ .long 2815549440
+ .long 1068744181
+ .long 2782613207
+ .long 1026345054
+ .long 2756124672
+ .long 1068673540
+ .long 2929486205
+ .long 3173037800
+ .long 3511050240
+ .long 1068603195
+ .long 1443733147
+ .long 3173331549
+ .long 3047047168
+ .long 1068533144
+ .long 1879674924
+ .long 3172459997
+ .long 3221667840
+ .long 1068427825
+ .long 1338588027
+ .long 3171815742
+ .long 3453861888
+ .long 1068288883
+ .long 1205348359
+ .long 3172624626
+ .long 3506110464
+ .long 1068150514
+ .long 893105198
+ .long 1025571866
+ .long 346013696
+ .long 1068012714
+ .long 3495569021
+ .long 3172563349
+ .long 4074029056
+ .long 1067875476
+ .long 3961106338
+ .long 3171065595
+ .long 3559784448
+ .long 1067738798
+ .long 1975385384
+ .long 3173783155
+ .long 797769728
+ .long 1067602675
+ .long 3760305787
+ .long 1026047642
+ .long 2313633792
+ .long 1067467101
+ .long 1559353171
+ .long 1023480256
+ .long 3960766464
+ .long 1067213778
+ .long 1067365107
+ .long 1025865926
+ .long 684261376
+ .long 1066944805
+ .long 844762164
+ .long 3173687482
+ .long 630718464
+ .long 1066676905
+ .long 2458269694
+ .long 1024033081
+ .long 1486061568
+ .long 1066410070
+ .long 115537874
+ .long 3173243995
+ .long 2743664640
+ .long 1065886792
+ .long 3665098304
+ .long 3173471607
+ .long 1971912704
+ .long 1065357333
+ .long 2577214440
+ .long 3171993451
+ .long 1498939392
+ .long 1064306693
+ .long 3409036923
+ .long 1025599151
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 4277811200
+ .long 1067855426
+ .long 2479318832
+ .long 1022292823
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1030730101
+ .long 3217380702
+ .long 1431655765
+ .long 1070945621
+ .long 2576980378
+ .long 1070176665
+ .long 0
+ .long 3219128320
+ .long 0
+ .long 4294959104
+ .long 0
+ .long 4294959104
+ .long 0
+ .long 3217031168
+ .long 2576980378
+ .long 1070176665
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1431655765
+ .long 3217380693
+ .long 1431655765
+ .long 1070945621
+ .type static_const_table,@object
+ .size static_const_table,2192
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_sin.S b/libm/x86/s_sin.S
new file mode 100644
index 0000000..1e6cbd4
--- /dev/null
+++ b/libm/x86/s_sin.S
@@ -0,0 +1,907 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// 1. RANGE REDUCTION
+//
+// We perform an initial range reduction from X to r with
+//
+// X =~= N * pi/32 + r
+//
+// so that |r| <= pi/64 + epsilon. We restrict inputs to those
+// where |N| <= 932560. Beyond this, the range reduction is
+// insufficiently accurate. For extremely small inputs,
+// denormalization can occur internally, impacting performance.
+// This means that the main path is actually only taken for
+// 2^-252 <= |X| < 90112.
+//
+// To avoid branches, we perform the range reduction to full
+// accuracy each time.
+//
+// X - N * (P_1 + P_2 + P_3)
+//
+// where P_1 and P_2 are 32-bit numbers (so multiplication by N
+// is exact) and P_3 is a 53-bit number. Together, these
+// approximate pi well enough for all cases in the restricted
+// range.
+//
+// The main reduction sequence is:
+//
+// y = 32/pi * x
+// N = integer(y)
+// (computed by adding and subtracting off SHIFTER)
+//
+// m_1 = N * P_1
+// m_2 = N * P_2
+// r_1 = x - m_1
+// r = r_1 - m_2
+// (this r can be used for most of the calculation)
+//
+// c_1 = r_1 - r
+// m_3 = N * P_3
+// c_2 = c_1 - m_2
+// c = c_2 - m_3
+//
+// 2. MAIN ALGORITHM
+//
+// The algorithm uses a table lookup based on B = M * pi / 32
+// where M = N mod 64. The stored values are:
+// sigma closest power of 2 to cos(B)
+// C_hl 53-bit cos(B) - sigma
+// S_hi + S_lo 2 * 53-bit sin(B)
+//
+// The computation is organized as follows:
+//
+// sin(B + r + c) = [sin(B) + sigma * r] +
+// r * (cos(B) - sigma) +
+// sin(B) * [cos(r + c) - 1] +
+// cos(B) * [sin(r + c) - r]
+//
+// which is approximately:
+//
+// [S_hi + sigma * r] +
+// C_hl * r +
+// S_lo + S_hi * [(cos(r) - 1) - r * c] +
+// (C_hl + sigma) * [(sin(r) - r) + c]
+//
+// and this is what is actually computed. We separate this sum
+// into four parts:
+//
+// hi + med + pols + corr
+//
+// where
+//
+// hi = S_hi + sigma r
+// med = C_hl * r
+// pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+// corr = S_lo + c * ((C_hl + sigma) - S_hi * r)
+//
+// 3. POLYNOMIAL
+//
+// The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+// (sin(r) - r) can be rearranged freely, since it is quite
+// small, so we exploit parallelism to the fullest.
+//
+// psc4 = SC_4 * r_1
+// msc4 = psc4 * r
+// r2 = r * r
+// msc2 = SC_2 * r2
+// r4 = r2 * r2
+// psc3 = SC_3 + msc4
+// psc1 = SC_1 + msc2
+// msc3 = r4 * psc3
+// sincospols = psc1 + msc3
+// pols = sincospols *
+// <S_hi * r^2 | (C_hl + sigma) * r^3>
+//
+// 4. CORRECTION TERM
+//
+// This is where the "c" component of the range reduction is
+// taken into account; recall that just "r" is used for most of
+// the calculation.
+//
+// -c = m_3 - c_2
+// -d = S_hi * r - (C_hl + sigma)
+// corr = -c * -d + S_lo
+//
+// 5. COMPENSATED SUMMATIONS
+//
+// The two successive compensated summations add up the high
+// and medium parts, leaving just the low parts to add up at
+// the end.
+//
+// rs = sigma * r
+// res_int = S_hi + rs
+// k_0 = S_hi - res_int
+// k_2 = k_0 + rs
+// med = C_hl * r
+// res_hi = res_int + med
+// k_1 = res_int - res_hi
+// k_3 = k_1 + med
+//
+// 6. FINAL SUMMATION
+//
+// We now add up all the small parts:
+//
+// res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+//
+// Now the overall result is just:
+//
+// res_hi + res_lo
+//
+// 7. SMALL ARGUMENTS
+//
+// If |x| < SNN (SNN meaning the smallest normal number), we
+// simply perform 0.1111111 cdots 1111 * x. For SNN <= |x|, we
+// do 2^-55 * (2^55 * x - x).
+//
+// Special cases:
+// sin(NaN) = quiet NaN, and raise invalid exception
+// sin(INF) = NaN and raise invalid exception
+// sin(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin sin
+ENTRY(sin)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 56(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ subl $12336, %eax
+ cmpl $4293, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ movsd 2160(%ebx), %xmm1
+ mulsd %xmm0, %xmm1
+ movsd 2272(%ebx), %xmm5
+ movapd 2256(%ebx), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ movsd 2128(%ebx), %xmm3
+ movapd 2112(%ebx), %xmm2
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %edx
+ cvtsi2sdl %edx, %xmm1
+ mulsd %xmm1, %xmm3
+ unpcklpd %xmm1, %xmm1
+ addl $1865216, %edx
+ movapd %xmm0, %xmm4
+ andl $63, %edx
+ movapd 2096(%ebx), %xmm5
+ lea (%ebx), %eax
+ shll $5, %edx
+ addl %edx, %eax
+ mulpd %xmm1, %xmm2
+ subsd %xmm3, %xmm0
+ mulsd 2144(%ebx), %xmm1
+ subsd %xmm3, %xmm4
+ movsd 8(%eax), %xmm7
+ unpcklpd %xmm0, %xmm0
+ movapd %xmm4, %xmm3
+ subsd %xmm2, %xmm4
+ mulpd %xmm0, %xmm5
+ subpd %xmm2, %xmm0
+ movapd 2064(%ebx), %xmm6
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm2, %xmm3
+ movapd (%eax), %xmm2
+ subsd %xmm3, %xmm1
+ movsd 24(%eax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd 2080(%ebx), %xmm5
+ mulsd (%eax), %xmm4
+ addpd 2048(%ebx), %xmm6
+ mulpd %xmm0, %xmm5
+ movapd %xmm3, %xmm0
+ addsd 8(%eax), %xmm3
+ mulpd %xmm7, %xmm1
+ movapd %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movsd 8(%eax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%eax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm0, %xmm5
+ addsd %xmm7, %xmm3
+ addsd %xmm5, %xmm1
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ unpckhpd %xmm6, %xmm6
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm4
+ movsd %xmm4, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ jg .L_2TAG_PACKET_2.0.2
+ shrl $4, %eax
+ cmpl $268434685, %eax
+ jne .L_2TAG_PACKET_3.0.2
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_3.0.2:
+ movsd 2192(%ebx), %xmm3
+ mulsd %xmm0, %xmm3
+ subsd %xmm0, %xmm3
+ mulsd 2208(%ebx), %xmm3
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movl 132(%esp), %eax
+ andl $2146435072, %eax
+ cmpl $2146435072, %eax
+ je .L_2TAG_PACKET_4.0.2
+ subl $32, %esp
+ movsd %xmm0, (%esp)
+ lea 40(%esp), %eax
+ movl %eax, 8(%esp)
+ movl $2, %eax
+ movl %eax, 12(%esp)
+ call __libm_sincos_huge
+ addl $32, %esp
+ fldl 16(%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_4.0.2:
+ fldl 128(%esp)
+ fmull 2240(%ebx)
+.L_2TAG_PACKET_1.0.2:
+ movl 56(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(sin)
+# -- End sin
+
+# Start file scope ASM
+ALIAS_SYMBOL(sinl, sin);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 1072693248
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 1072693248
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 1071644672
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 1071644672
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 1070596096
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 1070596096
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 1069547520
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 3217031168
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 3218079744
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 3218079744
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 3219128320
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 3219128320
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 3220176896
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 3220176896
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 3219128320
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 3219128320
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 3218079744
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 3218079744
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 3217031168
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 1069547520
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 1070596096
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 1070596096
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 1071644672
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 1071644672
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 1072693248
+ .long 1431655765
+ .long 3217380693
+ .long 0
+ .long 3219128320
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1067799893
+ .long 436314138
+ .long 3207201184
+ .long 381774871
+ .long 3210133868
+ .long 2773927732
+ .long 1053236707
+ .long 436314138
+ .long 1056571808
+ .long 442499072
+ .long 1032893537
+ .long 442499072
+ .long 1032893537
+ .long 1413480448
+ .long 1069097467
+ .long 0
+ .long 0
+ .long 771977331
+ .long 996350346
+ .long 0
+ .long 0
+ .long 1841940611
+ .long 1076125488
+ .long 0
+ .long 0
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 0
+ .long 0
+ .long 1130364928
+ .long 0
+ .long 0
+ .long 0
+ .long 1015021568
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 1072693247
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .type static_const_table,@object
+ .size static_const_table,2288
+ .data
+ .hidden __libm_sincos_huge
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_tan.S b/libm/x86/s_tan.S
new file mode 100644
index 0000000..3ee2107
--- /dev/null
+++ b/libm/x86/s_tan.S
@@ -0,0 +1,1766 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Polynomials coefficients and other constants.
+//
+// Note that in this algorithm, there is a different polynomial for
+// each breakpoint, so there are 32 sets of polynomial coefficients
+// as well as 32 instances of the other constants.
+//
+// The polynomial coefficients and constants are offset from the start
+// of the main block as follows:
+//
+// 0: c8 | c0
+// 16: c9 | c1
+// 32: c10 | c2
+// 48: c11 | c3
+// 64: c12 | c4
+// 80: c13 | c5
+// 96: c14 | c6
+// 112: c15 | c7
+// 128: T_hi
+// 136: T_lo
+// 144: Sigma
+// 152: T_hl
+// 160: Tau
+// 168: Mask
+// 176: (end of block)
+//
+// The total table size is therefore 5632 bytes.
+//
+// Note that c0 and c1 are always zero. We could try storing
+// other constants here, and just loading the low part of the
+// SIMD register in these cases, after ensuring the high part
+// is zero.
+//
+// The higher terms of the polynomial are computed in the *low*
+// part of the SIMD register. This is so we can overlap the
+// multiplication by r^8 and the unpacking of the other part.
+//
+// The constants are:
+// T_hi + T_lo = accurate constant term in power series
+// Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit)
+// Tau = multiplier for the reciprocal, always -1 or 0
+//
+// The basic reconstruction formula using these constants is:
+//
+// High = tau * recip_hi + t_hi
+// Med = (sgn * r + t_hl * r)_hi
+// Low = (sgn * r + t_hl * r)_lo +
+// tau * recip_lo + T_lo + (T_hl + sigma) * c + pol
+//
+// where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15
+//
+// (c0 = c1 = 0, but using them keeps SIMD regularity)
+//
+// We then do a compensated sum High + Med, add the low parts together
+// and then do the final sum.
+//
+// Here recip_hi + recip_lo is an accurate reciprocal of the remainder
+// modulo pi/2
+//
+// Special cases:
+// tan(NaN) = quiet NaN, and raise invalid exception
+// tan(INF) = NaN and raise invalid exception
+// tan(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin tan
+ENTRY(tan)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $120, %esp
+ movl %ebx, 56(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 128(%esp), %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ subl $14368, %eax
+ cmpl $2216, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ movapd 5840(%ebx), %xmm5
+ movapd 5856(%ebx), %xmm6
+ unpcklpd %xmm0, %xmm0
+ movapd 5712(%ebx), %xmm4
+ andpd %xmm0, %xmm4
+ movapd 5632(%ebx), %xmm1
+ mulpd %xmm0, %xmm1
+ orpd %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ movapd %xmm1, %xmm7
+ unpckhpd %xmm7, %xmm7
+ cvttsd2si %xmm7, %edx
+ cvttpd2dq %xmm1, %xmm1
+ cvtdq2pd %xmm1, %xmm1
+ mulpd %xmm6, %xmm1
+ movapd 5664(%ebx), %xmm3
+ movsd 5728(%ebx), %xmm5
+ addl $469248, %edx
+ movapd 5680(%ebx), %xmm4
+ mulpd %xmm1, %xmm3
+ andl $31, %edx
+ mulsd %xmm1, %xmm5
+ movl %edx, %ecx
+ mulpd %xmm1, %xmm4
+ shll $1, %ecx
+ subpd %xmm3, %xmm0
+ mulpd 5696(%ebx), %xmm1
+ addl %ecx, %edx
+ shll $2, %ecx
+ addl %ecx, %edx
+ addsd %xmm0, %xmm5
+ movapd %xmm0, %xmm2
+ subpd %xmm4, %xmm0
+ movsd 5744(%ebx), %xmm6
+ shll $4, %edx
+ lea (%ebx), %eax
+ andpd 5776(%ebx), %xmm5
+ movapd %xmm0, %xmm3
+ addl %edx, %eax
+ subpd %xmm0, %xmm2
+ unpckhpd %xmm0, %xmm0
+ divsd %xmm5, %xmm6
+ subpd %xmm4, %xmm2
+ movapd 16(%eax), %xmm7
+ subsd %xmm5, %xmm3
+ mulpd %xmm0, %xmm7
+ subpd %xmm1, %xmm2
+ movapd 48(%eax), %xmm1
+ mulpd %xmm0, %xmm1
+ movapd 96(%eax), %xmm4
+ mulpd %xmm0, %xmm4
+ addsd %xmm3, %xmm2
+ movapd %xmm0, %xmm3
+ mulpd %xmm0, %xmm0
+ addpd (%eax), %xmm7
+ addpd 32(%eax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd 80(%eax), %xmm4
+ addpd %xmm1, %xmm7
+ movapd 112(%eax), %xmm1
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm0
+ addpd %xmm1, %xmm4
+ movapd 64(%eax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd %xmm1, %xmm7
+ movapd %xmm3, %xmm1
+ mulpd %xmm0, %xmm3
+ mulsd %xmm0, %xmm0
+ mulpd 144(%eax), %xmm1
+ mulpd %xmm3, %xmm4
+ movapd %xmm1, %xmm3
+ addpd %xmm4, %xmm7
+ movapd %xmm1, %xmm4
+ mulsd %xmm7, %xmm0
+ unpckhpd %xmm7, %xmm7
+ addsd %xmm7, %xmm0
+ unpckhpd %xmm1, %xmm1
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ movapd %xmm2, %xmm4
+ movsd 144(%eax), %xmm7
+ unpckhpd %xmm2, %xmm2
+ addsd 152(%eax), %xmm7
+ mulsd %xmm2, %xmm7
+ addsd 136(%eax), %xmm7
+ addsd %xmm1, %xmm7
+ addsd %xmm7, %xmm0
+ movsd 5744(%ebx), %xmm7
+ mulsd %xmm6, %xmm4
+ movsd 168(%eax), %xmm2
+ andpd %xmm6, %xmm2
+ mulsd %xmm2, %xmm5
+ mulsd 160(%eax), %xmm6
+ subsd %xmm5, %xmm7
+ subsd 128(%eax), %xmm2
+ subsd %xmm4, %xmm7
+ mulsd %xmm6, %xmm7
+ movapd %xmm3, %xmm4
+ subsd %xmm2, %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm4
+ addsd %xmm4, %xmm0
+ subsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ movsd %xmm0, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ jg .L_2TAG_PACKET_2.0.2
+ shrl $4, %eax
+ cmpl $268434558, %eax
+ jne .L_2TAG_PACKET_3.0.2
+ movapd %xmm0, %xmm3
+ mulsd 5808(%ebx), %xmm3
+.L_2TAG_PACKET_3.0.2:
+ movsd 5792(%ebx), %xmm3
+ mulsd %xmm0, %xmm3
+ addsd %xmm0, %xmm3
+ mulsd 5808(%ebx), %xmm3
+ movsd %xmm3, (%esp)
+ fldl (%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movq 5712(%ebx), %xmm7
+ andpd %xmm0, %xmm7
+ xorpd %xmm0, %xmm7
+ ucomisd 5760(%ebx), %xmm7
+ je .L_2TAG_PACKET_4.0.2
+ subl $32, %esp
+ movsd %xmm0, (%esp)
+ lea 40(%esp), %eax
+ movl %eax, 8(%esp)
+ movl $2, %eax
+ movl %eax, 12(%esp)
+ call __libm_tancot_huge
+ addl $32, %esp
+ fldl 8(%esp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_4.0.2:
+ movq %xmm0, (%esp)
+ fldl (%esp)
+ fsubl (%esp)
+.L_2TAG_PACKET_1.0.2:
+ movl 56(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(tan)
+# -- End tan
+
+# Start file scope ASM
+ALIAS_SYMBOL(tanl, tan);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2284589306
+ .long 1066820852
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1441186365
+ .long 1065494243
+ .long 1431655765
+ .long 1070945621
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 236289504
+ .long 1064135997
+ .long 286331153
+ .long 1069617425
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1160476131
+ .long 1062722102
+ .long 463583772
+ .long 1068212666
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1313038235
+ .long 1066745731
+ .long 0
+ .long 0
+ .long 1013878342
+ .long 1067152618
+ .long 0
+ .long 0
+ .long 3663426833
+ .long 1065725283
+ .long 3693284251
+ .long 1069118808
+ .long 650852232
+ .long 1065882376
+ .long 1996245381
+ .long 1071000265
+ .long 2008746170
+ .long 1064664197
+ .long 3055842593
+ .long 1068578846
+ .long 1495406348
+ .long 1064652437
+ .long 2269530157
+ .long 1069711235
+ .long 285563696
+ .long 1063576465
+ .long 1046897440
+ .long 1067705865
+ .long 233429731
+ .long 1063453151
+ .long 522045958
+ .long 1068476590
+ .long 2354785698
+ .long 1069102779
+ .long 1317599141
+ .long 1012432133
+ .long 0
+ .long 1072693248
+ .long 2828230105
+ .long 1065606626
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1512545955
+ .long 1068119047
+ .long 0
+ .long 0
+ .long 1127048698
+ .long 1067909459
+ .long 0
+ .long 0
+ .long 2300200450
+ .long 1067254767
+ .long 3593250296
+ .long 1070233561
+ .long 3009365544
+ .long 1066902117
+ .long 1127373050
+ .long 1071173457
+ .long 3046103305
+ .long 1066371299
+ .long 24583402
+ .long 1069723988
+ .long 4082511758
+ .long 1065914199
+ .long 3223889699
+ .long 1070020367
+ .long 548927984
+ .long 1065415756
+ .long 558065897
+ .long 1068949418
+ .long 680073315
+ .long 1064940726
+ .long 388873200
+ .long 1068944270
+ .long 3763679576
+ .long 1070167541
+ .long 1497360404
+ .long 1009710547
+ .long 0
+ .long 1072693248
+ .long 64931152
+ .long 1067729411
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2467582782
+ .long 1069256389
+ .long 0
+ .long 0
+ .long 162150096
+ .long 1068946420
+ .long 0
+ .long 0
+ .long 3702794237
+ .long 1068579152
+ .long 3631919291
+ .long 1070936926
+ .long 3456821413
+ .long 1068217218
+ .long 2031366438
+ .long 1071495745
+ .long 1596664020
+ .long 1067799281
+ .long 1509038701
+ .long 1070601643
+ .long 583171477
+ .long 1067510148
+ .long 3785344682
+ .long 1070618476
+ .long 2402036048
+ .long 1067075736
+ .long 3233018412
+ .long 1069913186
+ .long 411280568
+ .long 1066710556
+ .long 1065584192
+ .long 1069747896
+ .long 895247324
+ .long 1070819848
+ .long 500078909
+ .long 3161288781
+ .long 0
+ .long 1072693248
+ .long 729983843
+ .long 1068994194
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1458794562
+ .long 1070398550
+ .long 0
+ .long 0
+ .long 2857777489
+ .long 1070137637
+ .long 0
+ .long 0
+ .long 1024359517
+ .long 1069876531
+ .long 2616040238
+ .long 1071582937
+ .long 1609024636
+ .long 1069675088
+ .long 2529240549
+ .long 1071836633
+ .long 1510128600
+ .long 1069440113
+ .long 2251697184
+ .long 1071253687
+ .long 1262761453
+ .long 1069142850
+ .long 1263091857
+ .long 1071190461
+ .long 3043383486
+ .long 1068885191
+ .long 2476932470
+ .long 1070842002
+ .long 3659995028
+ .long 1068669200
+ .long 855891755
+ .long 1070696894
+ .long 2583490354
+ .long 1071284857
+ .long 3062633575
+ .long 1014008623
+ .long 0
+ .long 1072693248
+ .long 2550940471
+ .long 1069938201
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3422807297
+ .long 1071640847
+ .long 0
+ .long 0
+ .long 1151658053
+ .long 1071494715
+ .long 0
+ .long 0
+ .long 929607071
+ .long 1071346340
+ .long 1037049034
+ .long 1072037305
+ .long 2786928657
+ .long 1071215282
+ .long 1447406859
+ .long 1072265209
+ .long 3490952107
+ .long 1071090851
+ .long 3205232916
+ .long 1071968658
+ .long 1297344304
+ .long 1070977120
+ .long 1066110976
+ .long 1071946035
+ .long 3803721480
+ .long 1070871082
+ .long 1496754229
+ .long 1071807201
+ .long 2982550683
+ .long 1070773243
+ .long 4014441989
+ .long 1071736222
+ .long 419968236
+ .long 1071717047
+ .long 3451266538
+ .long 3163444811
+ .long 0
+ .long 1072693248
+ .long 2960267235
+ .long 1070745841
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 724322768
+ .long 1072881308
+ .long 0
+ .long 0
+ .long 643153048
+ .long 1072905816
+ .long 0
+ .long 0
+ .long 4285079458
+ .long 1072928558
+ .long 3912524733
+ .long 1072622983
+ .long 118362272
+ .long 1072952754
+ .long 4107767972
+ .long 1072827408
+ .long 2689502883
+ .long 1072976922
+ .long 946523347
+ .long 1072772766
+ .long 573204189
+ .long 1073001761
+ .long 581531518
+ .long 1072826391
+ .long 1386236526
+ .long 1073026959
+ .long 3718905905
+ .long 1072832823
+ .long 1145558140
+ .long 1073052673
+ .long 513572637
+ .long 1072861969
+ .long 716700048
+ .long 1071997368
+ .long 547126769
+ .long 1015523525
+ .long 0
+ .long 1072693248
+ .long 1097907398
+ .long 1071420120
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3349892442
+ .long 1074290212
+ .long 0
+ .long 0
+ .long 3913197405
+ .long 1074501181
+ .long 0
+ .long 0
+ .long 2494034522
+ .long 1074739170
+ .long 1264738763
+ .long 1073084804
+ .long 1520293906
+ .long 1074899632
+ .long 1958936600
+ .long 1073411493
+ .long 2133649635
+ .long 1075052171
+ .long 4270740730
+ .long 1073574708
+ .long 1728930189
+ .long 1075224844
+ .long 1303998552
+ .long 1073799186
+ .long 618611933
+ .long 1075420255
+ .long 1769828046
+ .long 1073938542
+ .long 2200537986
+ .long 1075641421
+ .long 433361110
+ .long 1074105369
+ .long 719595600
+ .long 1072317184
+ .long 294527206
+ .long 3162140088
+ .long 0
+ .long 1073741824
+ .long 3811788216
+ .long 3218400550
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1704352102
+ .long 1075943001
+ .long 0
+ .long 0
+ .long 2284589306
+ .long 1076258036
+ .long 0
+ .long 0
+ .long 2211264291
+ .long 1076659010
+ .long 0
+ .long 1073741824
+ .long 1441186365
+ .long 1077028579
+ .long 1431655765
+ .long 1074091349
+ .long 876943673
+ .long 1077353622
+ .long 2863311531
+ .long 1074440874
+ .long 236289504
+ .long 1077767485
+ .long 286331153
+ .long 1074860305
+ .long 2805473311
+ .long 1078115278
+ .long 95443718
+ .long 1075163227
+ .long 1160476131
+ .long 1078450742
+ .long 463583772
+ .long 1075552698
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 1073741824
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1330165971
+ .long 3207850745
+ .long 0
+ .long 0
+ .long 217536623
+ .long 1059109098
+ .long 0
+ .long 0
+ .long 3492120849
+ .long 3205151475
+ .long 602185705
+ .long 3215678092
+ .long 760422958
+ .long 1056312597
+ .long 555127889
+ .long 1067545266
+ .long 3139784124
+ .long 3202470837
+ .long 3690544014
+ .long 3213150171
+ .long 95707915
+ .long 1053635428
+ .long 4003114407
+ .long 1064581412
+ .long 2034926231
+ .long 3199711161
+ .long 3759536023
+ .long 3210559989
+ .long 3826928214
+ .long 1050893819
+ .long 3837960785
+ .long 1061790379
+ .long 1526325248
+ .long 3217967566
+ .long 2356426521
+ .long 1025423456
+ .long 0
+ .long 0
+ .long 457728975
+ .long 1071088276
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 4294967288
+ .long 1398462608
+ .long 3207303968
+ .long 0
+ .long 0
+ .long 26205983
+ .long 1058461213
+ .long 0
+ .long 0
+ .long 56226238
+ .long 3204528612
+ .long 2754706541
+ .long 3215359511
+ .long 2187799823
+ .long 1055634437
+ .long 790323742
+ .long 1067402587
+ .long 1372385848
+ .long 3201651479
+ .long 4097292716
+ .long 3212856302
+ .long 3348210357
+ .long 1052830099
+ .long 2442796466
+ .long 1064337602
+ .long 862608142
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+ .long 923219018
+ .long 984130272
+ .long 57701189
+ .long 988383790
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 1734816687
+ .long 1026746297
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 0
+ .long 4294705152
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 0
+ .long 1130364928
+ .long 0
+ .long 0
+ .long 0
+ .long 1015021568
+ .long 0
+ .long 0
+ .long 0
+ .long 1017118720
+ .long 0
+ .long 0
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1076887552
+ .long 0
+ .long 1072693248
+ .type static_const_table,@object
+ .size static_const_table,5872
+ .data
+ .hidden __libm_tancot_huge
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/s_tanh.S b/libm/x86/s_tanh.S
new file mode 100644
index 0000000..737bcbb
--- /dev/null
+++ b/libm/x86/s_tanh.S
@@ -0,0 +1,1361 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// tanh(x)=(exp(x)-exp(-x))/(exp(x)+exp(-x))=(1-exp(-2*x))/(1+exp(-2*x))
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^8*2=int(xH*L2EH*2^9),
+// f=0.b1 b2 ... b8, k integer
+// 2^{-f} is approximated as Tn[f]+Dn[f]
+// Tn stores the high 53 bits, Dn stores (2^{-f}-Tn[f]) rounded to double precision
+//
+// r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-9}+2^{-14},
+// for |x| in [23/64,3*2^7)
+// e^{-2*|x|}=2^{-k-f}*2^{-r} ~ 2^{-k}*(Tn+Dn)*(1+p)=(T0+D0)*(1+p)
+//
+// For |x| in [2^{-4},2^5):
+// 2^{-r}-1 ~ p=c1*r+c2*r^2+..+c5*r^5
+// Let R=1/(1+T0+p*T0), truncated to 35 significant bits
+// R=1/(1+T0+D0+p*(T0+D0))*(1+eps), |eps|<2^{-33}
+// 1+T0+D0+p*(T0+D0)=KH+KL, where
+// KH=(1+T0+c1*r*T0)_high (leading 17 bits)
+// KL=T0_low+D0+(c1*r*T0)_low+c1*r*D0+(c2*r^2+..c5*r^5)*T0
+// eps ~ (R*KH-1)+R*KL
+// 1/(1+T0+D0+p*(T0+D0)) ~ R-R*eps
+// The result is approximated as (1-T0-D0-(T0+D0)*p)*(R-R*eps)
+// 1-T0-D0-(T0+D0)*p=-((KH-2)+KL)
+// The result is formed as
+// (KH-2)*R+(-(KH-2)*R*eps+(KL*R-KL*R*eps)), with the correct sign
+// set at the end
+//
+// For |x| in [2^{-64},2^{-4}):
+// A Taylor series expansion is used (x+p3*x^3+..+p13*x^{13})
+//
+// For |x|<2^{-64}: x is returned
+//
+// For |x|>=2^32: return +/-1
+//
+// Special cases:
+// tanh(NaN) = quiet NaN, and raise invalid exception
+// tanh(INF) = that INF
+// tanh(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin static_func
+ .text
+ .align __bionic_asm_align
+ .type static_func, @function
+static_func:
+..B1.1:
+ call ..L2
+..L2:
+ popl %eax
+ lea _GLOBAL_OFFSET_TABLE_+[. - ..L2](%eax), %eax
+ lea static_const_table@GOTOFF(%eax), %eax
+ ret
+ .size static_func,.-static_func
+# -- End static_func
+
+# -- Begin tanh
+ENTRY(tanh)
+# parameter 1: 8 + %ebp
+..B2.1:
+..B2.2:
+ pushl %ebp
+ movl %esp, %ebp
+ subl $104, %esp
+ movl %ebx, 40(%esp)
+ call static_func
+ movl %eax, %ebx
+ movsd 112(%esp), %xmm0
+ movsd 4256(%ebx), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd 4112(%ebx), %xmm1
+ movsd 4120(%ebx), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd 4096(%ebx), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ movl $32768, %edx
+ andl %ecx, %edx
+ andl $32767, %ecx
+ subl $16304, %ecx
+ cmpl $144, %ecx
+ jae .L_2TAG_PACKET_0.0.2
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ movapd %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ movsd 4264(%ebx), %xmm4
+ subsd %xmm6, %xmm3
+ xorpd %xmm0, %xmm0
+ addsd %xmm1, %xmm2
+ subsd %xmm3, %xmm7
+ movapd 4128(%ebx), %xmm6
+ addsd %xmm7, %xmm2
+ movl $255, %ecx
+ andl %eax, %ecx
+ addl %ecx, %ecx
+ movapd (%ebx,%ecx,8), %xmm5
+ shrl $4, %eax
+ andl $65520, %eax
+ subl $16368, %eax
+ negl %eax
+ pinsrw $3, %eax, %xmm0
+ movapd 4144(%ebx), %xmm1
+ pshufd $68, %xmm0, %xmm0
+ mulpd %xmm5, %xmm0
+ movsd 4160(%ebx), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ movapd %xmm4, %xmm5
+ addsd %xmm0, %xmm4
+ mulpd %xmm2, %xmm6
+ mulsd %xmm2, %xmm7
+ mulpd %xmm2, %xmm2
+ addpd %xmm6, %xmm1
+ mulsd %xmm2, %xmm2
+ movsd 4264(%ebx), %xmm3
+ mulpd %xmm2, %xmm1
+ pshufd $78, %xmm1, %xmm6
+ addsd %xmm6, %xmm1
+ movapd %xmm1, %xmm6
+ addsd %xmm7, %xmm1
+ mulsd %xmm0, %xmm1
+ addsd %xmm4, %xmm1
+ andpd 4224(%ebx), %xmm4
+ divsd %xmm1, %xmm5
+ subsd %xmm4, %xmm3
+ pshufd $238, %xmm0, %xmm1
+ addsd %xmm0, %xmm3
+ movapd %xmm4, %xmm2
+ addsd %xmm1, %xmm3
+ mulsd %xmm7, %xmm1
+ mulsd %xmm0, %xmm7
+ addsd %xmm1, %xmm3
+ addsd %xmm7, %xmm4
+ movsd 4240(%ebx), %xmm1
+ mulsd %xmm0, %xmm6
+ andpd 4224(%ebx), %xmm4
+ addsd %xmm6, %xmm3
+ movapd %xmm4, %xmm6
+ subsd %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ movsd 4264(%ebx), %xmm7
+ andpd %xmm1, %xmm5
+ addsd %xmm2, %xmm3
+ mulsd %xmm5, %xmm4
+ xorpd %xmm2, %xmm2
+ mulsd %xmm5, %xmm3
+ subsd 4272(%ebx), %xmm6
+ subsd %xmm7, %xmm4
+ xorl $32768, %edx
+ pinsrw $3, %edx, %xmm2
+ addsd %xmm3, %xmm4
+ mulsd %xmm5, %xmm6
+ movapd %xmm3, %xmm1
+ mulsd %xmm4, %xmm3
+ movapd %xmm6, %xmm0
+ mulsd %xmm4, %xmm6
+ subsd %xmm3, %xmm1
+ subsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_0.0.2:
+ addl $960, %ecx
+ cmpl $1104, %ecx
+ jae .L_2TAG_PACKET_2.0.2
+ movapd 4176(%ebx), %xmm2
+ pshufd $68, %xmm0, %xmm1
+ movapd 4192(%ebx), %xmm3
+ mulpd %xmm1, %xmm1
+ movapd 4208(%ebx), %xmm4
+ mulpd %xmm1, %xmm2
+ pshufd $68, %xmm1, %xmm5
+ addpd %xmm3, %xmm2
+ mulsd %xmm5, %xmm5
+ mulpd %xmm1, %xmm2
+ mulsd %xmm5, %xmm5
+ addpd %xmm4, %xmm2
+ mulpd %xmm5, %xmm2
+ pshufd $238, %xmm2, %xmm5
+ addsd %xmm5, %xmm2
+ mulsd %xmm0, %xmm2
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ addl $15344, %ecx
+ cmpl $16448, %ecx
+ jae .L_2TAG_PACKET_3.0.2
+ cmpl $16, %ecx
+ jb .L_2TAG_PACKET_4.0.2
+ xorpd %xmm2, %xmm2
+ movl $17392, %eax
+ pinsrw $3, %eax, %xmm2
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm2
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_4.0.2:
+ movapd %xmm0, %xmm2
+ mulsd %xmm2, %xmm2
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_3.0.2:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_5.0.2
+ xorpd %xmm2, %xmm2
+ movl $15344, %ecx
+ pinsrw $3, %ecx, %xmm2
+ movapd %xmm2, %xmm3
+ mulsd %xmm2, %xmm2
+ addsd %xmm3, %xmm2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm0, %xmm0
+ orl $16368, %edx
+ pinsrw $3, %edx, %xmm0
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_5.0.2:
+ movapd %xmm0, %xmm2
+ movd %xmm0, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_6.0.2
+ addsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_1.0.2:
+ movsd %xmm0, 24(%esp)
+ fldl 24(%esp)
+.L_2TAG_PACKET_7.0.2:
+ movl 40(%esp), %ebx
+ movl %ebp, %esp
+ popl %ebp
+ ret
+..B2.3:
+END(tanh)
+# -- End tanh
+
+# Start file scope ASM
+ALIAS_SYMBOL(tanhl, tanh);
+# End file scope ASM
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 1797923801
+ .long 1072687577
+ .long 1950547427
+ .long 1013229059
+ .long 730821105
+ .long 1072681922
+ .long 2523232743
+ .long 1012067188
+ .long 915592468
+ .long 1072676282
+ .long 352947894
+ .long 3161024371
+ .long 2174652632
+ .long 1072670657
+ .long 4087714590
+ .long 1014450259
+ .long 35929225
+ .long 1072665048
+ .long 2809788041
+ .long 3159436968
+ .long 2912730644
+ .long 1072659453
+ .long 3490067722
+ .long 3163405074
+ .long 2038973688
+ .long 1072653874
+ .long 892941374
+ .long 1016046459
+ .long 1533953344
+ .long 1072648310
+ .long 769171851
+ .long 1015665633
+ .long 1222472308
+ .long 1072642761
+ .long 1054357470
+ .long 3161021018
+ .long 929806999
+ .long 1072637227
+ .long 3205336643
+ .long 1015259557
+ .long 481706282
+ .long 1072631708
+ .long 1696079173
+ .long 3162710528
+ .long 3999357479
+ .long 1072626203
+ .long 2258941616
+ .long 1015924724
+ .long 2719515920
+ .long 1072620714
+ .long 2760332941
+ .long 1015137933
+ .long 764307441
+ .long 1072615240
+ .long 3021057420
+ .long 3163329523
+ .long 2256325230
+ .long 1072609780
+ .long 580117746
+ .long 1015317295
+ .long 2728693978
+ .long 1072604335
+ .long 396109971
+ .long 3163462691
+ .long 2009970496
+ .long 1072598905
+ .long 2159039665
+ .long 3162572948
+ .long 4224142467
+ .long 1072593489
+ .long 3389820386
+ .long 1015207202
+ .long 610758006
+ .long 1072588089
+ .long 1965209397
+ .long 3161866232
+ .long 3884662774
+ .long 1072582702
+ .long 2158611599
+ .long 1014210185
+ .long 991358482
+ .long 1072577331
+ .long 838715019
+ .long 3163157668
+ .long 351641897
+ .long 1072571974
+ .long 2172261526
+ .long 3163010599
+ .long 1796832535
+ .long 1072566631
+ .long 3176955716
+ .long 3160585513
+ .long 863738719
+ .long 1072561303
+ .long 1326992220
+ .long 3162613197
+ .long 1679558232
+ .long 1072555989
+ .long 2390342287
+ .long 3163333970
+ .long 4076975200
+ .long 1072550689
+ .long 2029000899
+ .long 1015208535
+ .long 3594158869
+ .long 1072545404
+ .long 2456521700
+ .long 3163256561
+ .long 64696965
+ .long 1072540134
+ .long 1768797490
+ .long 1015816960
+ .long 1912561781
+ .long 1072534877
+ .long 3147495102
+ .long 1015678253
+ .long 382305176
+ .long 1072529635
+ .long 2347622376
+ .long 3162578625
+ .long 3898795731
+ .long 1072524406
+ .long 1249994144
+ .long 1011869818
+ .long 3707479175
+ .long 1072519192
+ .long 3613079303
+ .long 1014164738
+ .long 3939148246
+ .long 1072513992
+ .long 3210352148
+ .long 1015274323
+ .long 135105010
+ .long 1072508807
+ .long 1906148728
+ .long 3163375739
+ .long 721996136
+ .long 1072503635
+ .long 563754734
+ .long 1015371318
+ .long 1242007932
+ .long 1072498477
+ .long 1132034716
+ .long 3163339831
+ .long 1532734324
+ .long 1072493333
+ .long 3094216535
+ .long 3163162857
+ .long 1432208378
+ .long 1072488203
+ .long 1401068914
+ .long 3162363963
+ .long 778901109
+ .long 1072483087
+ .long 2248183955
+ .long 3161268751
+ .long 3706687593
+ .long 1072477984
+ .long 3521726940
+ .long 1013253067
+ .long 1464976603
+ .long 1072472896
+ .long 3507292405
+ .long 3161977534
+ .long 2483480501
+ .long 1072467821
+ .long 1216371780
+ .long 1013034172
+ .long 2307442995
+ .long 1072462760
+ .long 3190117721
+ .long 3162404539
+ .long 777507147
+ .long 1072457713
+ .long 4282924205
+ .long 1015187533
+ .long 2029714210
+ .long 1072452679
+ .long 613660079
+ .long 1015099143
+ .long 1610600570
+ .long 1072447659
+ .long 3766732298
+ .long 1015760183
+ .long 3657065772
+ .long 1072442652
+ .long 399025623
+ .long 3162957078
+ .long 3716502172
+ .long 1072437659
+ .long 2303740125
+ .long 1014042725
+ .long 1631695677
+ .long 1072432680
+ .long 2717633076
+ .long 3162344026
+ .long 1540824585
+ .long 1072427714
+ .long 1064017011
+ .long 3163487690
+ .long 3287523847
+ .long 1072422761
+ .long 1625971539
+ .long 3157009955
+ .long 2420883922
+ .long 1072417822
+ .long 2049810052
+ .long 1014119888
+ .long 3080351519
+ .long 1072412896
+ .long 3379126788
+ .long 3157218001
+ .long 815859274
+ .long 1072407984
+ .long 240396590
+ .long 3163487443
+ .long 4062661092
+ .long 1072403084
+ .long 1422616006
+ .long 3163255318
+ .long 4076559943
+ .long 1072398198
+ .long 2119478331
+ .long 3160758351
+ .long 703710506
+ .long 1072393326
+ .long 1384660846
+ .long 1015195891
+ .long 2380618042
+ .long 1072388466
+ .long 3149557219
+ .long 3163320799
+ .long 364333489
+ .long 1072383620
+ .long 3923737744
+ .long 3161421373
+ .long 3092190715
+ .long 1072378786
+ .long 814012168
+ .long 3159523422
+ .long 1822067026
+ .long 1072373966
+ .long 1241994956
+ .long 1015340290
+ .long 697153126
+ .long 1072369159
+ .long 1283515429
+ .long 3163283189
+ .long 3861050111
+ .long 1072364364
+ .long 254893773
+ .long 3162813180
+ .long 2572866477
+ .long 1072359583
+ .long 878562433
+ .long 1015521741
+ .long 977020788
+ .long 1072354815
+ .long 3065100517
+ .long 1015541563
+ .long 3218338682
+ .long 1072350059
+ .long 3404164304
+ .long 3162477108
+ .long 557149882
+ .long 1072345317
+ .long 3672720709
+ .long 1014537265
+ .long 1434058175
+ .long 1072340587
+ .long 251133233
+ .long 1015085769
+ .long 1405169241
+ .long 1072335870
+ .long 2998539689
+ .long 3162830951
+ .long 321958744
+ .long 1072331166
+ .long 3401933767
+ .long 1015794558
+ .long 2331271250
+ .long 1072326474
+ .long 812057446
+ .long 1012207446
+ .long 2990417245
+ .long 1072321795
+ .long 3683467745
+ .long 3163369326
+ .long 2152073944
+ .long 1072317129
+ .long 1486860576
+ .long 3163203456
+ .long 3964284211
+ .long 1072312475
+ .long 2111583915
+ .long 1015427164
+ .long 3985553595
+ .long 1072307834
+ .long 4002146062
+ .long 1015834136
+ .long 2069751141
+ .long 1072303206
+ .long 1562170675
+ .long 3162724681
+ .long 2366108318
+ .long 1072298590
+ .long 2867985102
+ .long 3161762254
+ .long 434316067
+ .long 1072293987
+ .long 2028358766
+ .long 1013458122
+ .long 424392917
+ .long 1072289396
+ .long 2749202995
+ .long 3162838718
+ .long 2191782032
+ .long 1072284817
+ .long 2960257726
+ .long 1013742662
+ .long 1297350157
+ .long 1072280251
+ .long 1308022040
+ .long 3163412558
+ .long 1892288442
+ .long 1072275697
+ .long 2446255666
+ .long 3162600381
+ .long 3833209506
+ .long 1072271155
+ .long 2722920684
+ .long 1013754842
+ .long 2682146384
+ .long 1072266626
+ .long 2082178513
+ .long 3163363419
+ .long 2591453363
+ .long 1072262109
+ .long 2132396182
+ .long 3159074198
+ .long 3418903055
+ .long 1072257604
+ .long 2527457337
+ .long 3160820604
+ .long 727685349
+ .long 1072253112
+ .long 2038246809
+ .long 3162358742
+ .long 2966275557
+ .long 1072248631
+ .long 2176155324
+ .long 3159842759
+ .long 1403662306
+ .long 1072244163
+ .long 2788809599
+ .long 3161671007
+ .long 194117574
+ .long 1072239707
+ .long 777528612
+ .long 3163412089
+ .long 3492293770
+ .long 1072235262
+ .long 2248032210
+ .long 1015386826
+ .long 2568320822
+ .long 1072230830
+ .long 2732824428
+ .long 1014352915
+ .long 1577608921
+ .long 1072226410
+ .long 1875489510
+ .long 3162968394
+ .long 380978316
+ .long 1072222002
+ .long 854188970
+ .long 3160462686
+ .long 3134592888
+ .long 1072217605
+ .long 4232266862
+ .long 1015991134
+ .long 1110089947
+ .long 1072213221
+ .long 1451641639
+ .long 1015474673
+ .long 2759350287
+ .long 1072208848
+ .long 1148526634
+ .long 1015894933
+ .long 3649726105
+ .long 1072204487
+ .long 4085036346
+ .long 1015649474
+ .long 3643909174
+ .long 1072200138
+ .long 3537586109
+ .long 1014354647
+ .long 2604962541
+ .long 1072195801
+ .long 2614425274
+ .long 3163539192
+ .long 396319521
+ .long 1072191476
+ .long 4172420816
+ .long 3159074632
+ .long 1176749997
+ .long 1072187162
+ .long 2738998779
+ .long 3162035844
+ .long 515457527
+ .long 1072182860
+ .long 836709333
+ .long 1015651226
+ .long 2571947539
+ .long 1072178569
+ .long 3558159064
+ .long 3163376669
+ .long 2916157145
+ .long 1072174290
+ .long 219487565
+ .long 1015309367
+ .long 1413356050
+ .long 1072170023
+ .long 1651349291
+ .long 3162668166
+ .long 2224145553
+ .long 1072165767
+ .long 3482522030
+ .long 3161489169
+ .long 919555682
+ .long 1072161523
+ .long 3121969534
+ .long 1012948226
+ .long 1660913392
+ .long 1072157290
+ .long 4218599604
+ .long 1015135707
+ .long 19972402
+ .long 1072153069
+ .long 3507899862
+ .long 1016009292
+ .long 158781403
+ .long 1072148859
+ .long 2221464712
+ .long 3163286453
+ .long 1944781191
+ .long 1072144660
+ .long 3993278767
+ .long 3161724279
+ .long 950803702
+ .long 1072140473
+ .long 1655364926
+ .long 1015237032
+ .long 1339972927
+ .long 1072136297
+ .long 167908909
+ .long 1015572152
+ .long 2980802057
+ .long 1072132132
+ .long 378619896
+ .long 1015773303
+ .long 1447192521
+ .long 1072127979
+ .long 1462857171
+ .long 3162514521
+ .long 903334909
+ .long 1072123837
+ .long 1636462108
+ .long 1015039997
+ .long 1218806132
+ .long 1072119706
+ .long 1818613052
+ .long 3162548441
+ .long 2263535754
+ .long 1072115586
+ .long 752233586
+ .long 3162639008
+ .long 3907805044
+ .long 1072111477
+ .long 2257091225
+ .long 3161550407
+ .long 1727278727
+ .long 1072107380
+ .long 3562710623
+ .long 1011471940
+ .long 4182873220
+ .long 1072103293
+ .long 629542646
+ .long 3161996303
+ .long 2555984613
+ .long 1072099218
+ .long 2652555442
+ .long 3162552692
+ .long 1013258799
+ .long 1072095154
+ .long 1748797611
+ .long 3160129082
+ .long 3721688645
+ .long 1072091100
+ .long 3069276937
+ .long 1015839401
+ .long 1963711167
+ .long 1072087058
+ .long 1744767757
+ .long 3160574294
+ .long 4201977662
+ .long 1072083026
+ .long 748330254
+ .long 1013594357
+ .long 1719614413
+ .long 1072079006
+ .long 330458198
+ .long 3163282740
+ .long 2979960120
+ .long 1072074996
+ .long 2599109725
+ .long 1014498493
+ .long 3561793907
+ .long 1072070997
+ .long 1157054053
+ .long 1011890350
+ .long 3339203574
+ .long 1072067009
+ .long 1483497780
+ .long 3162408754
+ .long 2186617381
+ .long 1072063032
+ .long 2270764084
+ .long 3163272713
+ .long 4273770423
+ .long 1072059065
+ .long 3383180809
+ .long 3163218901
+ .long 885834528
+ .long 1072055110
+ .long 1973258547
+ .long 3162261564
+ .long 488188413
+ .long 1072051165
+ .long 3199821029
+ .long 1015564048
+ .long 2956612997
+ .long 1072047230
+ .long 2118169751
+ .long 3162735553
+ .long 3872257780
+ .long 1072043306
+ .long 1253592103
+ .long 1015958334
+ .long 3111574537
+ .long 1072039393
+ .long 2606161479
+ .long 3162759746
+ .long 551349105
+ .long 1072035491
+ .long 3821916050
+ .long 3162106589
+ .long 363667784
+ .long 1072031599
+ .long 813753950
+ .long 1015785209
+ .long 2425981843
+ .long 1072027717
+ .long 2830390851
+ .long 3163346599
+ .long 2321106615
+ .long 1072023846
+ .long 2171176610
+ .long 1009535771
+ .long 4222122499
+ .long 1072019985
+ .long 1277378074
+ .long 3163256737
+ .long 3712504873
+ .long 1072016135
+ .long 88491949
+ .long 1015427660
+ .long 671025100
+ .long 1072012296
+ .long 3832014351
+ .long 3163022030
+ .long 3566716925
+ .long 1072008466
+ .long 1536826856
+ .long 1014142433
+ .long 3689071823
+ .long 1072004647
+ .long 2321004996
+ .long 3162552716
+ .long 917841882
+ .long 1072000839
+ .long 18715565
+ .long 1015659308
+ .long 3723038930
+ .long 1071997040
+ .long 378465264
+ .long 3162569582
+ .long 3395129871
+ .long 1071993252
+ .long 4025345435
+ .long 3162335388
+ .long 4109806887
+ .long 1071989474
+ .long 422403966
+ .long 1014469229
+ .long 1453150082
+ .long 1071985707
+ .long 498154669
+ .long 3161488062
+ .long 3896463087
+ .long 1071981949
+ .long 1139797873
+ .long 3161233805
+ .long 2731501122
+ .long 1071978202
+ .long 1774031855
+ .long 3162470021
+ .long 2135241198
+ .long 1071974465
+ .long 1236747871
+ .long 1013589147
+ .long 1990012071
+ .long 1071970738
+ .long 3529070563
+ .long 3162813193
+ .long 2178460671
+ .long 1071967021
+ .long 777878098
+ .long 3162842493
+ .long 2583551245
+ .long 1071963314
+ .long 3161094195
+ .long 1015606491
+ .long 3088564500
+ .long 1071959617
+ .long 1762311517
+ .long 1015045673
+ .long 3577096743
+ .long 1071955930
+ .long 2951496418
+ .long 1013793687
+ .long 3933059031
+ .long 1071952253
+ .long 2133366768
+ .long 3161531832
+ .long 4040676318
+ .long 1071948586
+ .long 4090609238
+ .long 1015663458
+ .long 3784486610
+ .long 1071944929
+ .long 1581883040
+ .long 3161698953
+ .long 3049340112
+ .long 1071941282
+ .long 3062915824
+ .long 1013170595
+ .long 1720398391
+ .long 1071937645
+ .long 3980678963
+ .long 3163300080
+ .long 3978100823
+ .long 1071934017
+ .long 3513027190
+ .long 1015845963
+ .long 1118294578
+ .long 1071930400
+ .long 2197495694
+ .long 3159909401
+ .long 1617004845
+ .long 1071926792
+ .long 82804944
+ .long 1010342778
+ .long 1065662932
+ .long 1071923194
+ .long 2533670915
+ .long 1014530238
+ .long 3645941911
+ .long 1071919605
+ .long 3814685081
+ .long 3161573341
+ .long 654919306
+ .long 1071916027
+ .long 3232961757
+ .long 3163047469
+ .long 569847338
+ .long 1071912458
+ .long 472945272
+ .long 3159290729
+ .long 3278348324
+ .long 1071908898
+ .long 3069497416
+ .long 1014750712
+ .long 78413852
+ .long 1071905349
+ .long 4183226867
+ .long 3163017251
+ .long 3743175029
+ .long 1071901808
+ .long 2072812490
+ .long 3162175075
+ .long 1276261410
+ .long 1071898278
+ .long 300981948
+ .long 1014684169
+ .long 1156440435
+ .long 1071894757
+ .long 2351451249
+ .long 1013967056
+ .long 3272845541
+ .long 1071891245
+ .long 928852419
+ .long 3163488248
+ .long 3219942644
+ .long 1071887743
+ .long 3798990616
+ .long 1015368806
+ .long 887463927
+ .long 1071884251
+ .long 3596744163
+ .long 3160794166
+ .long 460407023
+ .long 1071880768
+ .long 4237175092
+ .long 3163138469
+ .long 1829099622
+ .long 1071877294
+ .long 1016661181
+ .long 3163461005
+ .long 589198666
+ .long 1071873830
+ .long 2664346172
+ .long 3163157962
+ .long 926591435
+ .long 1071870375
+ .long 3208833762
+ .long 3162913514
+ .long 2732492859
+ .long 1071866929
+ .long 2691479646
+ .long 3162255684
+ .long 1603444721
+ .long 1071863493
+ .long 1548633640
+ .long 3162201326
+ .long 1726216749
+ .long 1071860066
+ .long 2466808228
+ .long 3161676405
+ .long 2992903935
+ .long 1071856648
+ .long 2218154406
+ .long 1015228193
+ .long 1000925746
+ .long 1071853240
+ .long 1018491672
+ .long 3163309544
+ .long 4232894513
+ .long 1071849840
+ .long 2383938684
+ .long 1014668519
+ .long 3991843581
+ .long 1071846450
+ .long 4092853457
+ .long 1014585763
+ .long 171030293
+ .long 1071843070
+ .long 3526460132
+ .long 1014428778
+ .long 1253935211
+ .long 1071839698
+ .long 1395382931
+ .long 3159702613
+ .long 2839424854
+ .long 1071836335
+ .long 1171596163
+ .long 1013041679
+ .long 526652809
+ .long 1071832982
+ .long 4223459736
+ .long 1015879375
+ .long 2799960843
+ .long 1071829637
+ .long 1423655381
+ .long 1015022151
+ .long 964107055
+ .long 1071826302
+ .long 2800439588
+ .long 3162833221
+ .long 3504003472
+ .long 1071822975
+ .long 3594001060
+ .long 3157330652
+ .long 1724976915
+ .long 1071819658
+ .long 420909223
+ .long 3163117379
+ .long 4112506593
+ .long 1071816349
+ .long 2947355221
+ .long 1014371048
+ .long 1972484976
+ .long 1071813050
+ .long 675290301
+ .long 3161640050
+ .long 3790955393
+ .long 1071809759
+ .long 2352942462
+ .long 3163180090
+ .long 874372905
+ .long 1071806478
+ .long 100263788
+ .long 1015940732
+ .long 1709341917
+ .long 1071803205
+ .long 2571168217
+ .long 1014152499
+ .long 1897844341
+ .long 1071799941
+ .long 1254300460
+ .long 1015275938
+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 4219606026
+ .long 1071793439
+ .long 2434574742
+ .long 1014681548
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2725843665
+ .long 1071786973
+ .long 1433917087
+ .long 1014838523
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 897099801
+ .long 1071780542
+ .long 754756297
+ .long 1015241005
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 2218315341
+ .long 1071774145
+ .long 2694295388
+ .long 3163288868
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 1588871207
+ .long 1071767783
+ .long 143439582
+ .long 3162963416
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2502433899
+ .long 1071761455
+ .long 2148595913
+ .long 1015023991
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 4162030108
+ .long 1071755161
+ .long 2763428480
+ .long 1015529349
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 1480023343
+ .long 1071748902
+ .long 2247196168
+ .long 1015327453
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 2257959872
+ .long 1071742676
+ .long 3802946148
+ .long 1012964927
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 1416741826
+ .long 1071736484
+ .long 2196380210
+ .long 1011413563
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2471440686
+ .long 1071730325
+ .long 968836267
+ .long 3162214888
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 351405227
+ .long 1071724200
+ .long 3125337328
+ .long 3159822479
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 2875075254
+ .long 1071718107
+ .long 4144233330
+ .long 3163333716
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 685187902
+ .long 1071712048
+ .long 378731989
+ .long 1014843115
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 1608493509
+ .long 1071706021
+ .long 3159622171
+ .long 3162807737
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 590962156
+ .long 1071700027
+ .long 3829346666
+ .long 3163275597
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1172597893
+ .long 1071694065
+ .long 114433263
+ .long 1015347593
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 2602514713
+ .long 1071688135
+ .long 2268929336
+ .long 1014354284
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 4133881824
+ .long 1071682237
+ .long 2148155345
+ .long 3162931299
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 728934454
+ .long 1071676372
+ .long 1413842688
+ .long 1014178612
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 238821257
+ .long 1071670538
+ .long 1469694871
+ .long 3162884987
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 1928746161
+ .long 1071664735
+ .long 983617676
+ .long 1014285177
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 772914124
+ .long 1071658964
+ .long 4004372762
+ .long 1012230161
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 339411585
+ .long 1071653224
+ .long 264588982
+ .long 3161636657
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .long 4200250559
+ .long 1071647514
+ .long 2808127345
+ .long 3161781938
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .long 1610612736
+ .long 1082594631
+ .long 4166901572
+ .long 1055174155
+ .long 3884607281
+ .long 3168131199
+ .long 3607404735
+ .long 3190582024
+ .long 1874480759
+ .long 1032041131
+ .long 4286760334
+ .long 1053736893
+ .long 4277811695
+ .long 3211144770
+ .long 0
+ .long 0
+ .long 236289503
+ .long 1064135997
+ .long 463583772
+ .long 3215696314
+ .long 1441186365
+ .long 3212977891
+ .long 286331153
+ .long 1069617425
+ .long 2284589306
+ .long 1066820852
+ .long 1431655765
+ .long 3218429269
+ .long 0
+ .long 4294967280
+ .long 0
+ .long 4294967280
+ .long 4294705152
+ .long 4294967295
+ .long 4294705152
+ .long 4294967295
+ .long 4160749568
+ .long 2147483647
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 1073741824
+ .type static_const_table,@object
+ .size static_const_table,4280
+ .data
+ .section .note.GNU-stack, ""
+# End
diff --git a/libm/x86/sqrt.S b/libm/x86/sqrt.S
new file mode 100644
index 0000000..c9d434d
--- /dev/null
+++ b/libm/x86/sqrt.S
@@ -0,0 +1,43 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(sqrt)
+ mov %esp,%eax
+ and $0xfffffff8,%eax
+ movsd 0x4(%esp),%xmm0
+ sqrtsd %xmm0,%xmm0
+ movlpd %xmm0,-0x8(%eax)
+ fldl -0x8(%eax)
+ ret
+END(sqrt)
+
+ALIAS_SYMBOL(sqrtl, sqrt);
diff --git a/libm/x86/sqrtf.S b/libm/x86/sqrtf.S
new file mode 100644
index 0000000..78c183b
--- /dev/null
+++ b/libm/x86/sqrtf.S
@@ -0,0 +1,39 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(sqrtf)
+ movss 0x4(%esp),%xmm0
+ sqrtss %xmm0,%xmm0
+ movss %xmm0,-0x4(%esp)
+ flds -0x4(%esp)
+ ret
+END(sqrtf)
diff --git a/libm/x86/trunc.S b/libm/x86/trunc.S
new file mode 100644
index 0000000..da9d5fb
--- /dev/null
+++ b/libm/x86/trunc.S
@@ -0,0 +1,43 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(trunc)
+ mov %esp,%eax
+ and $0xfffffff8,%eax
+ movsd 0x4(%esp),%xmm0
+ roundsd $0x3,%xmm0,%xmm0
+ movlpd %xmm0,-0x8(%eax)
+ fldl -0x8(%eax)
+ ret
+END(trunc)
+
+ALIAS_SYMBOL(truncl, trunc);
diff --git a/libm/x86/truncf.S b/libm/x86/truncf.S
new file mode 100644
index 0000000..d3e3f4a
--- /dev/null
+++ b/libm/x86/truncf.S
@@ -0,0 +1,39 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(truncf)
+ movss 0x4(%esp),%xmm0
+ roundss $0x3,%xmm0,%xmm0
+ movss %xmm0,-0x4(%esp)
+ flds -0x4(%esp)
+ ret
+END(truncf)
diff --git a/libm/x86_64/ceil.S b/libm/x86_64/ceil.S
new file mode 100644
index 0000000..d4492c4
--- /dev/null
+++ b/libm/x86_64/ceil.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(ceil)
+roundsd $0x2,%xmm0,%xmm0
+retq
+END(ceil)
diff --git a/libm/x86_64/ceilf.S b/libm/x86_64/ceilf.S
new file mode 100644
index 0000000..0e1ca95
--- /dev/null
+++ b/libm/x86_64/ceilf.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(ceilf)
+roundss $0x2,%xmm0,%xmm0
+retq
+END(ceilf)
diff --git a/libm/x86_64/e_acos.S b/libm/x86_64/e_acos.S
new file mode 100644
index 0000000..d83c66b
--- /dev/null
+++ b/libm/x86_64/e_acos.S
@@ -0,0 +1,1957 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// To compute acos(s), separate schemes are used when s is in different
+// intervals.
+//
+// |s| in [2^{-4}, sqrt(3)/2):
+// Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52
+// acos(s)=pi/2-asin(t)-asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2)
+// asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7)
+// For the first degree term, r is evaluated as
+// R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t)
+// (sqrt(1-t^2) read from table)
+// The main source of error is still R (may still be affected by up to 3 ulps
+// of rounding error). The table size must be sufficiently large, to minimize
+// this effect.
+//
+// |s| in [sqrt(3)/2, 255/256):
+// Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded)
+// acos(|s|)=asin(t)-asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// acos(-|s|)=pi-acos(|s|)
+// (The -PI constant, or 0, is added to the result. The sign is set at
+// the end)
+// asin(r) evaluated as a polynomial (same as above)
+// The first degree term is evaluated as
+// r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2))
+//
+// |s|<2^{-4}: acos(s)=pi/2-asin(s)
+// evaluate asin(s) as 13-degree polynomial
+//
+// |s| in [255/256,1): acos(|s|)=2*asin(q), where q=sqrt((1-|s|)/2)
+// asin(q) is evaluated as 13-degree polynomial
+// q^2=(1-|s|)/2 is obtained in advance
+// 2*q*eps ~ ((1-|s|)/2-q^2)/q used for first term
+// acos(-|s|)=pi-acos(|s|)
+// (The -PI constant, or 0, is added to the result. The sign is set at
+// the end)
+//
+// Special cases:
+// acos(NaN) = quiet NaN, and raise invalid exception
+// acos(INF) = QNaN and raise invalid exception
+// acos(x) = QNaN and raise invalid exception, for |x|>1.0
+// acos(1) = +0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin acos
+ENTRY(acos)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_acos.1:
+ subq $24, %rsp
+..___tag_value_acos.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ movsd ABSVALMASK(%rip), %xmm4
+ movsd ONEMASK(%rip), %xmm3
+ xorpd %xmm5, %xmm5
+ movsd TMASK(%rip), %xmm2
+ movq %xmm0, %xmm1
+ psrlq $44, %xmm0
+ movd %xmm0, %edx
+ movq %xmm1, %xmm7
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movq %xmm1, %xmm0
+ movl $524287, %eax
+ andl %edx, %eax
+ subl $260864, %eax
+ cmpl $955, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ mulsd %xmm1, %xmm1
+ andl $65535, %edx
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andpd %xmm7, %xmm2
+ andl $-4, %edx
+ subl $64256, %edx
+ lea T_table(%rip), %r8
+ movsd (%r8,%rdx,2), %xmm1
+ orpd %xmm5, %xmm2
+ lea Tbl_addr(%rip), %r8
+ movapd (%r8,%rdx,4), %xmm4
+ movq %xmm7, %xmm6
+ addsd %xmm2, %xmm7
+ subsd %xmm2, %xmm0
+ mulsd %xmm0, %xmm7
+ mulsd %xmm1, %xmm6
+ mulsd %xmm2, %xmm3
+ movq %xmm6, %xmm1
+ addsd %xmm3, %xmm6
+ divsd %xmm6, %xmm7
+ movsd 24+cv(%rip), %xmm0
+ movsd 8+cv(%rip), %xmm5
+ subsd %xmm3, %xmm1
+ psrlq $63, %xmm2
+ movq %xmm1, %xmm3
+ psllq $63, %xmm2
+ mulsd %xmm1, %xmm1
+ pshufd $68, %xmm2, %xmm2
+ movsd 16+cv(%rip), %xmm6
+ mulsd %xmm1, %xmm3
+ mulsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm4
+ mulsd %xmm3, %xmm5
+ subpd PI_BY_2(%rip), %xmm4
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulsd %xmm3, %xmm0
+ subsd %xmm4, %xmm5
+ pshufd $238, %xmm4, %xmm4
+ addsd %xmm5, %xmm0
+ subsd %xmm7, %xmm0
+ subsd %xmm4, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ subl $955, %eax
+ cmpl $65, %eax
+ jae .L_2TAG_PACKET_1.0.2
+ psrlq $38, %xmm7
+ psllq $38, %xmm7
+ pmovmskb %xmm0, %eax
+ andnpd %xmm0, %xmm4
+ subsd %xmm7, %xmm1
+ movq %xmm7, %xmm6
+ mulsd %xmm7, %xmm7
+ addsd %xmm6, %xmm0
+ orpd %xmm4, %xmm5
+ subsd %xmm7, %xmm3
+ mulsd %xmm1, %xmm0
+ movq %xmm3, %xmm4
+ subsd %xmm0, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andl $128, %eax
+ shrl $7, %eax
+ negl %eax
+ movq %xmm3, %xmm7
+ andpd %xmm3, %xmm2
+ psllq $2, %xmm3
+ pextrw $3, %xmm3, %edx
+ orpd %xmm5, %xmm2
+ movd %eax, %xmm3
+ pshufd $0, %xmm3, %xmm3
+ subl $65216, %edx
+ addl %edx, %edx
+ lea T_table(%rip), %r8
+ mulsd (%r8,%rdx,4), %xmm7
+ mulsd %xmm2, %xmm6
+ mulsd %xmm2, %xmm1
+ mulsd %xmm2, %xmm2
+ subsd %xmm7, %xmm6
+ andpd NEG_PI(%rip), %xmm3
+ addsd %xmm1, %xmm6
+ subsd %xmm2, %xmm4
+ addsd %xmm7, %xmm7
+ movsd 8+cv(%rip), %xmm5
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm7
+ movsd 24+cv(%rip), %xmm0
+ divsd %xmm7, %xmm4
+ movsd 16+cv(%rip), %xmm2
+ lea Tbl_addr(%rip), %r8
+ addpd (%r8,%rdx,8), %xmm3
+ movq %xmm6, %xmm1
+ mulsd %xmm6, %xmm6
+ mulsd %xmm6, %xmm0
+ mulsd %xmm6, %xmm1
+ mulsd %xmm1, %xmm5
+ mulsd %xmm6, %xmm1
+ addsd %xmm2, %xmm0
+ pxor %xmm6, %xmm6
+ mulsd %xmm1, %xmm0
+ addsd %xmm3, %xmm5
+ addsd %xmm5, %xmm0
+ andl $32768, %eax
+ pinsrw $3, %eax, %xmm6
+ movq %xmm4, %xmm5
+ pshufd $238, %xmm3, %xmm3
+ addsd %xmm3, %xmm4
+ subsd %xmm4, %xmm3
+ addsd %xmm3, %xmm5
+ addsd %xmm5, %xmm0
+ addsd %xmm4, %xmm0
+ xorpd %xmm6, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_1.0.2:
+ addl $15291, %eax
+ cmpl $14336, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ unpcklpd %xmm0, %xmm0
+ movapd cv2(%rip), %xmm6
+ unpcklpd %xmm0, %xmm1
+ movapd 16+cv2(%rip), %xmm2
+ movapd 32+cv2(%rip), %xmm4
+ mulpd %xmm0, %xmm0
+ movapd PI_BY_2(%rip), %xmm5
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm6
+ mulpd %xmm0, %xmm0
+ movq %xmm1, %xmm3
+ mulsd %xmm1, %xmm1
+ addpd %xmm2, %xmm6
+ mulpd %xmm0, %xmm4
+ mulsd %xmm3, %xmm1
+ addpd %xmm4, %xmm6
+ pshufd $238, %xmm5, %xmm0
+ mulpd %xmm6, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ subsd %xmm7, %xmm0
+ pshufd $238, %xmm1, %xmm2
+ subsd %xmm1, %xmm5
+ subsd %xmm0, %xmm6
+ subsd %xmm2, %xmm5
+ subsd %xmm6, %xmm7
+ subsd %xmm7, %xmm5
+ addsd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ subl $15356, %eax
+ cmpl $4, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ xorpd %xmm6, %xmm6
+ andpd ABSVALMASK(%rip), %xmm7
+ movsd ONE_BY_2(%rip), %xmm4
+ movapd cv2(%rip), %xmm1
+ mulsd %xmm4, %xmm7
+ movapd 16+cv2(%rip), %xmm2
+ subsd %xmm7, %xmm4
+ movapd 32+cv2(%rip), %xmm3
+ pshufd $68, %xmm4, %xmm7
+ sqrtsd %xmm4, %xmm4
+ mulpd %xmm7, %xmm1
+ pshufd $68, %xmm7, %xmm5
+ pextrw $3, %xmm0, %eax
+ mulpd %xmm7, %xmm7
+ addpd %xmm1, %xmm2
+ movsd HALFMASK(%rip), %xmm1
+ mulpd %xmm7, %xmm3
+ cmpsd $1, %xmm6, %xmm0
+ mulsd %xmm5, %xmm7
+ addpd %xmm3, %xmm2
+ pshufd $68, %xmm0, %xmm0
+ mulsd %xmm7, %xmm2
+ andpd NEG_PI(%rip), %xmm0
+ mulpd %xmm5, %xmm2
+ andpd %xmm4, %xmm1
+ pshufd $68, %xmm4, %xmm3
+ subsd %xmm1, %xmm4
+ addsd %xmm3, %xmm3
+ mulsd %xmm1, %xmm1
+ subsd %xmm4, %xmm3
+ subsd %xmm1, %xmm5
+ mulsd %xmm3, %xmm4
+ pshufd $238, %xmm3, %xmm3
+ subsd %xmm4, %xmm5
+ divsd %xmm3, %xmm5
+ addpd %xmm3, %xmm3
+ mulpd %xmm3, %xmm2
+ pshufd $238, %xmm2, %xmm4
+ addsd %xmm0, %xmm2
+ andl $32768, %eax
+ pinsrw $3, %eax, %xmm6
+ pshufd $238, %xmm0, %xmm0
+ addsd %xmm4, %xmm2
+ addsd %xmm5, %xmm2
+ addsd %xmm3, %xmm2
+ addsd %xmm2, %xmm0
+ xorpd %xmm6, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_3.0.2:
+ addl $261884, %eax
+ cmpl $261888, %eax
+ jb .L_2TAG_PACKET_4.0.2
+ movd %xmm7, %ecx
+ psrlq $32, %xmm7
+ movd %xmm7, %edx
+ andl $2147483647, %edx
+ movl $1072693248, %eax
+ subl %edx, %eax
+ orl %ecx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_5.0.2
+ movsd (%rsp), %xmm2
+ movd %xmm2, %edx
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $2147483647, %ecx
+ subl $1, %edx
+ sbbl $2146435072, %ecx
+ cmpl $0, %ecx
+ jge .L_2TAG_PACKET_6.0.2
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_5.0.2:
+ pextrw $1, %xmm7, %edx
+ shrl $15, %edx
+ negl %edx
+ movd %edx, %xmm7
+ pshufd $0, %xmm7, %xmm7
+ movsd PI(%rip), %xmm2
+ movsd 8+PI(%rip), %xmm0
+ andpd %xmm7, %xmm2
+ andpd %xmm7, %xmm0
+ addsd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ movsd PI_BY_2(%rip), %xmm2
+ movsd 8+PI_BY_2(%rip), %xmm0
+ addsd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm6, %xmm6
+ addsd %xmm6, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_7.0.2:
+ movq %xmm0, 8(%rsp)
+..B1.3:
+ movq 8(%rsp), %xmm0
+.L_2TAG_PACKET_8.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_acos.4:
+ ret
+..___tag_value_acos.5:
+END(acos)
+# -- End acos
+ .section .rodata, "a"
+ .align 16
+ .align 16
+ABSVALMASK:
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 0
+ .type ABSVALMASK,@object
+ .size ABSVALMASK,16
+ .align 16
+T_table:
+ .long 2642784509
+ .long 1072689083
+ .long 1514442531
+ .long 1072688953
+ .long 333108933
+ .long 1072688821
+ .long 3392112024
+ .long 1072688686
+ .long 2099852862
+ .long 1072688550
+ .long 749609004
+ .long 1072688412
+ .long 3634632596
+ .long 1072688271
+ .long 2163248461
+ .long 1072688129
+ .long 628657846
+ .long 1072687985
+ .long 3324036511
+ .long 1072687838
+ .long 1657632815
+ .long 1072687690
+ .long 4217538760
+ .long 1072687539
+ .long 2411951597
+ .long 1072687387
+ .long 533944872
+ .long 1072687233
+ .long 2876566508
+ .long 1072687076
+ .long 847936891
+ .long 1072686918
+ .long 3036019913
+ .long 1072686757
+ .long 848884575
+ .long 1072686595
+ .long 2874443326
+ .long 1072686430
+ .long 520713666
+ .long 1072686264
+ .long 2375556481
+ .long 1072686095
+ .long 4141904948
+ .long 1072685924
+ .long 1522666382
+ .long 1072685752
+ .long 3105624104
+ .long 1072685577
+ .long 298666327
+ .long 1072685401
+ .long 1689524500
+ .long 1072685222
+ .long 2981002200
+ .long 1072685041
+ .long 4170844284
+ .long 1072684858
+ .long 961802263
+ .long 1072684674
+ .long 1941503454
+ .long 1072684487
+ .long 2812647170
+ .long 1072684298
+ .long 3572873869
+ .long 1072684107
+ .long 4219797823
+ .long 1072683914
+ .long 456039788
+ .long 1072683720
+ .long 869096151
+ .long 1072683523
+ .long 1161535119
+ .long 1072683324
+ .long 1330865866
+ .long 1072683123
+ .long 1374571204
+ .long 1072682920
+ .long 1290107538
+ .long 1072682715
+ .long 1074904836
+ .long 1072682508
+ .long 726366587
+ .long 1072682299
+ .long 241869763
+ .long 1072682088
+ .long 3913732079
+ .long 1072681874
+ .long 3149342765
+ .long 1072681659
+ .long 2240966306
+ .long 1072681442
+ .long 1185873216
+ .long 1072681223
+ .long 4276274591
+ .long 1072681001
+ .long 2919452883
+ .long 1072680778
+ .long 1407565635
+ .long 1072680553
+ .long 4032743551
+ .long 1072680325
+ .long 2202188565
+ .long 1072680096
+ .long 207977577
+ .long 1072679865
+ .long 2342160518
+ .long 1072679631
+ .long 11858423
+ .long 1072679396
+ .long 1804034453
+ .long 1072679158
+ .long 3420722787
+ .long 1072678918
+ .long 563930456
+ .long 1072678677
+ .long 1820539192
+ .long 1072678433
+ .long 2892501606
+ .long 1072678187
+ .long 3776710320
+ .long 1072677939
+ .long 175063337
+ .long 1072677690
+ .long 674333171
+ .long 1072677438
+ .long 976363026
+ .long 1072677184
+ .long 1077935934
+ .long 1072676928
+ .long 1921075490
+ .long 1072676540
+ .long 881493302
+ .long 1072676016
+ .long 3275752439
+ .long 1072675483
+ .long 486855588
+ .long 1072674943
+ .long 1077229111
+ .long 1072674394
+ .long 723950308
+ .long 1072673837
+ .long 3693582199
+ .long 1072673271
+ .long 1367335316
+ .long 1072672698
+ .long 2305837020
+ .long 1072672116
+ .long 2184358641
+ .long 1072671526
+ .long 972682840
+ .long 1072670928
+ .long 2935101762
+ .long 1072670321
+ .long 3745513263
+ .long 1072669706
+ .long 3372320886
+ .long 1072669083
+ .long 1783464620
+ .long 1072668452
+ .long 3241386215
+ .long 1072667812
+ .long 3418125284
+ .long 1072667164
+ .long 2280219148
+ .long 1072666508
+ .long 4088700758
+ .long 1072665843
+ .long 219227400
+ .long 1072665171
+ .long 3521816918
+ .long 1072664489
+ .long 1076205279
+ .long 1072663800
+ .long 1436484616
+ .long 1072663102
+ .long 271362610
+ .long 1072662396
+ .long 1838996688
+ .long 1072661681
+ .long 1807122518
+ .long 1072660958
+ .long 137953542
+ .long 1072660227
+ .long 1088178584
+ .long 1072659487
+ .long 324057537
+ .long 1072658739
+ .long 2101288076
+ .long 1072657982
+ .long 2085133974
+ .long 1072657217
+ .long 235324451
+ .long 1072656444
+ .long 806051592
+ .long 1072655662
+ .long 3756033140
+ .long 1072654871
+ .long 453542543
+ .long 1072654073
+ .long 3741177327
+ .long 1072653265
+ .long 691216109
+ .long 1072652450
+ .long 4145223372
+ .long 1072651625
+ .long 1174439091
+ .long 1072650793
+ .long 324416139
+ .long 1072649952
+ .long 1550246310
+ .long 1072649102
+ .long 511524674
+ .long 1072648244
+ .long 1457248482
+ .long 1072647377
+ .long 45944955
+ .long 1072646502
+ .long 525537397
+ .long 1072645618
+ .long 2848440188
+ .long 1072644725
+ .long 2671555633
+ .long 1072643824
+ .long 4241172637
+ .long 1072642914
+ .long 3213094278
+ .long 1072641996
+ .long 3832503688
+ .long 1072641069
+ .long 1754091534
+ .long 1072640134
+ .long 1221921804
+ .long 1072639190
+ .long 2184526489
+ .long 1072638237
+ .long 294902089
+ .long 1072637276
+ .long 4090375270
+ .long 1072636305
+ .long 632860906
+ .long 1072635327
+ .long 2753498702
+ .long 1072634339
+ .long 1808009252
+ .long 1072633343
+ .long 2036428672
+ .long 1072632338
+ .long 3383235626
+ .long 1072631324
+ .long 1497347484
+ .long 1072630302
+ .long 617018317
+ .long 1072629271
+ .long 684933058
+ .long 1072628231
+ .long 1643170798
+ .long 1072627182
+ .long 3011066360
+ .long 1072625592
+ .long 957158713
+ .long 1072623442
+ .long 1390907941
+ .long 1072621256
+ .long 3819155270
+ .long 1072619034
+ .long 3443571196
+ .long 1072616777
+ .long 4045412458
+ .long 1072614484
+ .long 805503923
+ .long 1072612156
+ .long 1778922015
+ .long 1072609791
+ .long 2125033665
+ .long 1072607390
+ .long 1287203863
+ .long 1072604953
+ .long 2992629568
+ .long 1072602479
+ .long 2367267127
+ .long 1072599969
+ .long 3115526047
+ .long 1072597422
+ .long 340219539
+ .long 1072594839
+ .long 2017215719
+ .long 1072592218
+ .long 3225443424
+ .long 1072589560
+ .long 3326565673
+ .long 1072586865
+ .long 1669811211
+ .long 1072584133
+ .long 1886735022
+ .long 1072581363
+ .long 3301071171
+ .long 1072578555
+ .long 928514283
+ .long 1072575710
+ .long 2656364059
+ .long 1072572826
+ .long 3473490507
+ .long 1072569904
+ .long 2649965606
+ .long 1072566944
+ .long 3736819052
+ .long 1072563945
+ .long 1680885175
+ .long 1072560908
+ .long 4413771
+ .long 1072557832
+ .long 2214869753
+ .long 1072554716
+ .long 3214725184
+ .long 1072551561
+ .long 2186079903
+ .long 1072548367
+ .long 2590372131
+ .long 1072545133
+ .long 3578146079
+ .long 1072541859
+ .long 4283712755
+ .long 1072538545
+ .long 3824834510
+ .long 1072535191
+ .long 1302400298
+ .long 1072531797
+ .long 95058636
+ .long 1072528362
+ .long 3563906063
+ .long 1072524885
+ .long 2167230730
+ .long 1072521368
+ .long 3524918334
+ .long 1072517809
+ .long 2353304918
+ .long 1072514209
+ .long 1939625839
+ .long 1072510567
+ .long 1256714581
+ .long 1072506883
+ .long 3552525848
+ .long 1072503156
+ .long 3464809522
+ .long 1072499387
+ .long 4200542593
+ .long 1072495575
+ .long 355609124
+ .long 1072491721
+ .long 3684139099
+ .long 1072487822
+ .long 148355918
+ .long 1072483881
+ .long 1457689242
+ .long 1072479895
+ .long 2118591596
+ .long 1072475865
+ .long 908848089
+ .long 1072471791
+ .long 877032689
+ .long 1072467672
+ .long 752012304
+ .long 1072463508
+ .long 3532301749
+ .long 1072459298
+ .long 3600563221
+ .long 1072455043
+ .long 3902857084
+ .long 1072450742
+ .long 3063101036
+ .long 1072446395
+ .long 3972344374
+ .long 1072442001
+ .long 903183549
+ .long 1072437561
+ .long 983892938
+ .long 1072433073
+ .long 2722858568
+ .long 1072428537
+ .long 302790515
+ .long 1072423954
+ .long 759811057
+ .long 1072419322
+ .long 2507809922
+ .long 1072414641
+ .long 2388408813
+ .long 1072407528
+ .long 2084492942
+ .long 1072397870
+ .long 2435703301
+ .long 1072388010
+ .long 1935433360
+ .long 1072377945
+ .long 2742047290
+ .long 1072367671
+ .long 2053284205
+ .long 1072357185
+ .long 657783367
+ .long 1072346483
+ .long 2893664841
+ .long 1072335560
+ .long 3718906405
+ .long 1072324413
+ .long 1547896303
+ .long 1072313038
+ .long 2494058440
+ .long 1072301429
+ .long 3133238742
+ .long 1072289582
+ .long 3327000086
+ .long 1072277492
+ .long 1860667274
+ .long 1072265154
+ .long 665340747
+ .long 1072252562
+ .long 443347841
+ .long 1072239710
+ .long 581282618
+ .long 1072226592
+ .long 3349780465
+ .long 1072213201
+ .long 914217606
+ .long 1072199532
+ .long 989797661
+ .long 1072185576
+ .long 945436416
+ .long 1072171326
+ .long 549291300
+ .long 1072156774
+ .long 1814636389
+ .long 1072141911
+ .long 239092858
+ .long 1072126729
+ .long 1794680724
+ .long 1072111217
+ .long 1241534678
+ .long 1072095366
+ .long 3366566214
+ .long 1072079164
+ .long 1244090828
+ .long 1072062601
+ .long 1708448120
+ .long 1072045663
+ .long 3544260650
+ .long 1072028337
+ .long 1402741403
+ .long 1072010610
+ .long 2551936888
+ .long 1071992465
+ .long 617669739
+ .long 1071973887
+ .long 794002186
+ .long 1071954857
+ .long 2021237693
+ .long 1071935356
+ .long 540450384
+ .long 1071915364
+ .long 1920555537
+ .long 1071894857
+ .long 2879585206
+ .long 1071873811
+ .long 3000237455
+ .long 1071852199
+ .long 3352974346
+ .long 1071829991
+ .long 569629937
+ .long 1071807155
+ .long 2077237208
+ .long 1071783653
+ .long 2284891805
+ .long 1071759446
+ .long 1226651784
+ .long 1071734489
+ .long 1102047405
+ .long 1071708731
+ .long 2009896384
+ .long 1071682115
+ .long 927419082
+ .long 1071654577
+ .long 85010366
+ .long 1071607413
+ .long 696431025
+ .long 1071548180
+ .long 2611410541
+ .long 1071486585
+ .long 2612593658
+ .long 1071422396
+ .long 3548155306
+ .long 1071355336
+ .long 3887997484
+ .long 1071285073
+ .long 244854763
+ .long 1071211202
+ .long 4214445648
+ .long 1071133216
+ .long 2303966727
+ .long 1071050478
+ .long 3991040013
+ .long 1070962152
+ .long 3126952278
+ .long 1070867118
+ .long 1817448378
+ .long 1070763804
+ .long 1793814864
+ .long 1070649884
+ .long 3507224072
+ .long 1070447193
+ .long 4027609105
+ .long 1070148772
+ .long 577507993
+ .long 1069779414
+ .long 2310232419
+ .long 1068931829
+ .type T_table,@object
+ .size T_table,2048
+ .align 16
+Tbl_addr:
+ .long 3822952792
+ .long 1021639372
+ .long 182792448
+ .long 1068507836
+ .long 2264213271
+ .long 1019558908
+ .long 649052928
+ .long 1068524253
+ .long 1797139609
+ .long 1022295143
+ .long 1243095296
+ .long 1068540671
+ .long 1415938756
+ .long 1021439537
+ .long 2033294592
+ .long 1068557090
+ .long 2356809978
+ .long 1021777916
+ .long 3088063744
+ .long 1068573510
+ .long 2669055318
+ .long 1022124482
+ .long 180888576
+ .long 1068589932
+ .long 3566445325
+ .long 1021358712
+ .long 1970196992
+ .long 1068606354
+ .long 896980323
+ .long 1021319659
+ .long 4229555456
+ .long 1068622777
+ .long 436049712
+ .long 1021319758
+ .long 2732572160
+ .long 1068639202
+ .long 583123209
+ .long 1020797960
+ .long 1842831872
+ .long 1068655628
+ .long 1370449804
+ .long 1021429270
+ .long 1628994560
+ .long 1068672055
+ .long 2411391464
+ .long 1021057980
+ .long 2159763712
+ .long 1068688483
+ .long 1208692749
+ .long 1021943903
+ .long 3503886336
+ .long 1068704912
+ .long 538793309
+ .long 1019744063
+ .long 1435187200
+ .long 1068721343
+ .long 4085087612
+ .long 1020608419
+ .long 317469952
+ .long 1068737775
+ .long 144386942
+ .long 1021440732
+ .long 219617280
+ .long 1068754208
+ .long 2940088361
+ .long 1019981122
+ .long 1210558208
+ .long 1068770642
+ .long 2176850347
+ .long 1018373705
+ .long 3359268352
+ .long 1068787077
+ .long 2395611454
+ .long 1021889042
+ .long 2439803648
+ .long 1068803514
+ .long 1650705253
+ .long 1020227966
+ .long 2816203520
+ .long 1068819952
+ .long 3702166386
+ .long 1019379914
+ .long 262620672
+ .long 1068836392
+ .long 1855649370
+ .long 1020453124
+ .long 3438159616
+ .long 1068852832
+ .long 923063860
+ .long 1019273834
+ .long 3822105856
+ .long 1068869274
+ .long 4289947947
+ .long 1019434249
+ .long 1483729920
+ .long 1068885718
+ .long 787455814
+ .long 1020738379
+ .long 787321088
+ .long 1068902163
+ .long 3321653337
+ .long 1021842569
+ .long 1802253312
+ .long 1068918609
+ .long 2653633526
+ .long 1021821525
+ .long 302985984
+ .long 1068935057
+ .long 161272028
+ .long 1021655149
+ .long 653966080
+ .long 1068951506
+ .long 2566098667
+ .long 1020066219
+ .long 2924727296
+ .long 1068967956
+ .long 3646493722
+ .long 1014292285
+ .long 2889890304
+ .long 1068984408
+ .long 1081009196
+ .long 1022189620
+ .long 619098112
+ .long 1069000862
+ .long 4011643355
+ .long 1021773297
+ .long 477017600
+ .long 1069017317
+ .long 4030305534
+ .long 1021292252
+ .long 2533403904
+ .long 1069033773
+ .long 2645187591
+ .long 1019527099
+ .long 2563102208
+ .long 1069050231
+ .long 3857293792
+ .long 1022311697
+ .long 635982336
+ .long 1069066691
+ .long 3625936637
+ .long 1017511744
+ .long 1116940800
+ .long 1069083152
+ .long 3653872993
+ .long 1022016631
+ .long 4075964160
+ .long 1069099614
+ .long 2468900271
+ .long 1021769532
+ .long 993165568
+ .long 1069116079
+ .long 1358104224
+ .long 1021199776
+ .long 528586752
+ .long 1069132545
+ .long 2200950332
+ .long 1022024872
+ .long 2752395776
+ .long 1069149012
+ .long 3197072454
+ .long 1017751319
+ .long 3439855616
+ .long 1069165481
+ .long 1651081806
+ .long 1020809338
+ .long 2661257728
+ .long 1069181952
+ .long 539032752
+ .long 1021728805
+ .long 486957312
+ .long 1069198425
+ .long 3136045149
+ .long 1016888671
+ .long 1282340352
+ .long 1069214899
+ .long 2593963259
+ .long 1018956103
+ .long 822921728
+ .long 1069231375
+ .long 2146032737
+ .long 1022306465
+ .long 3474216192
+ .long 1069247852
+ .long 3976811625
+ .long 1021350207
+ .long 716902656
+ .long 1069264332
+ .long 718267222
+ .long 1018624727
+ .long 1211594496
+ .long 1069280813
+ .long 1485641389
+ .long 1018447451
+ .long 734070272
+ .long 1069297296
+ .long 354455128
+ .long 1021341291
+ .long 3650110720
+ .long 1069313780
+ .long 682185947
+ .long 1021651853
+ .long 1440663040
+ .long 1069330267
+ .long 3558574550
+ .long 1021615110
+ .long 2766612224
+ .long 1069346755
+ .long 874607978
+ .long 1017746872
+ .long 3404011008
+ .long 1069363245
+ .long 4154988502
+ .long 1021439906
+ .long 3423949056
+ .long 1069379737
+ .long 2263202309
+ .long 1021479615
+ .long 2897587712
+ .long 1069396231
+ .long 2562065031
+ .long 1022090363
+ .long 1896159232
+ .long 1069412727
+ .long 3836237663
+ .long 1019867288
+ .long 490968576
+ .long 1069429225
+ .long 3322056743
+ .long 1006752762
+ .long 3048360192
+ .long 1069445724
+ .long 1152314833
+ .long 1013122252
+ .long 1049850624
+ .long 1069462226
+ .long 3601590727
+ .long 1022214610
+ .long 3156899584
+ .long 1069478729
+ .long 1855169970
+ .long 1019487271
+ .long 851173376
+ .long 1069495235
+ .long 312649594
+ .long 1020868604
+ .long 2794281728
+ .long 1069511742
+ .long 1093490181
+ .long 1020777577
+ .long 468042496
+ .long 1069528252
+ .long 1152540679
+ .long 1021403732
+ .long 2534219264
+ .long 1069544763
+ .long 2292126035
+ .long 1021872430
+ .long 1376146432
+ .long 1069558527
+ .long 3293753641
+ .long 1020500454
+ .long 4175442432
+ .long 1069575044
+ .long 3626347564
+ .long 1021610969
+ .long 3523113472
+ .long 1069591566
+ .long 339956500
+ .long 1021119039
+ .long 4003350528
+ .long 1069608092
+ .long 3429333082
+ .long 1022813542
+ .long 1611067392
+ .long 1069624623
+ .long 2298017544
+ .long 1021977587
+ .long 931782144
+ .long 1069641158
+ .long 2164684743
+ .long 1021250988
+ .long 2256725504
+ .long 1069657697
+ .long 1138762335
+ .long 1021443776
+ .long 1582853120
+ .long 1069674241
+ .long 1084010382
+ .long 1022994693
+ .long 3497758720
+ .long 1069690789
+ .long 406366244
+ .long 1022713586
+ .long 3999816960
+ .long 1069707342
+ .long 1488723042
+ .long 1023381290
+ .long 3383096064
+ .long 1069723900
+ .long 2541558953
+ .long 1019137887
+ .long 1942403584
+ .long 1069740463
+ .long 1879620343
+ .long 1022653642
+ .long 4268263680
+ .long 1069757030
+ .long 3039077047
+ .long 1022252545
+ .long 2067062272
+ .long 1069773603
+ .long 4190670677
+ .long 1020725863
+ .long 4225828096
+ .long 1069790180
+ .long 1998567321
+ .long 1022014385
+ .long 2452507136
+ .long 1069806763
+ .long 1511628873
+ .long 1021900300
+ .long 1340746240
+ .long 1069823351
+ .long 788367341
+ .long 1022726208
+ .long 1190035456
+ .long 1069839944
+ .long 3856337230
+ .long 1021834118
+ .long 2300688384
+ .long 1069856542
+ .long 3211396579
+ .long 1022621365
+ .long 678886400
+ .long 1069873146
+ .long 4001011887
+ .long 1022042646
+ .long 921594112
+ .long 1069889755
+ .long 557811968
+ .long 1023065533
+ .long 3331668992
+ .long 1069906369
+ .long 1877060679
+ .long 1022419742
+ .long 3917875200
+ .long 1069922989
+ .long 1181055171
+ .long 1022752712
+ .long 2984829696
+ .long 1069939615
+ .long 4294526932
+ .long 1021499988
+ .long 838049024
+ .long 1069956247
+ .long 3658081878
+ .long 1022957952
+ .long 2078928384
+ .long 1069972884
+ .long 820353701
+ .long 1019391107
+ .long 2719854336
+ .long 1069989527
+ .long 1644022489
+ .long 1023378240
+ .long 3069117696
+ .long 1070006176
+ .long 2771393702
+ .long 1019319954
+ .long 3435962368
+ .long 1070022831
+ .long 3876394145
+ .long 1023024433
+ .long 4130595328
+ .long 1070039492
+ .long 1630447748
+ .long 1021465882
+ .long 1169236224
+ .long 1070056160
+ .long 2828355997
+ .long 1020458120
+ .long 3453997312
+ .long 1070072833
+ .long 164091641
+ .long 1020388279
+ .long 2708127744
+ .long 1070089513
+ .long 3036550223
+ .long 1023328684
+ .long 3540797696
+ .long 1070106199
+ .long 3710949463
+ .long 1022568805
+ .long 1972276736
+ .long 1070122892
+ .long 3885277950
+ .long 1019761674
+ .long 2613815552
+ .long 1070139591
+ .long 2764165077
+ .long 1022921023
+ .long 1487791616
+ .long 1070156297
+ .long 1330644769
+ .long 1023162679
+ .long 3207593472
+ .long 1070173009
+ .long 3911007221
+ .long 1022993496
+ .long 3797764608
+ .long 1070189728
+ .long 979712598
+ .long 1022554580
+ .long 3578920448
+ .long 1070206454
+ .long 2825738223
+ .long 1020223708
+ .long 2872795648
+ .long 1070223187
+ .long 392451124
+ .long 1022666279
+ .long 2002258432
+ .long 1070239927
+ .long 3730407632
+ .long 1023148291
+ .long 1291326464
+ .long 1070256674
+ .long 3723802980
+ .long 1022514089
+ .long 1065180928
+ .long 1070273428
+ .long 2635617463
+ .long 1022654470
+ .long 1650181632
+ .long 1070290189
+ .long 2061982883
+ .long 1022853411
+ .long 3373882880
+ .long 1070306957
+ .long 319732785
+ .long 1022017175
+ .long 2270081280
+ .long 1070323733
+ .long 2237757411
+ .long 1023064087
+ .long 2963732736
+ .long 1070340516
+ .long 468839165
+ .long 1023293774
+ .long 1491099904
+ .long 1070357307
+ .long 1502657946
+ .long 1021533479
+ .long 2479636480
+ .long 1070374105
+ .long 482913562
+ .long 1021986286
+ .long 1968133632
+ .long 1070390911
+ .long 3281474337
+ .long 1022646400
+ .long 291639040
+ .long 1070407725
+ .long 2453320259
+ .long 1022812423
+ .long 2081472512
+ .long 1070424546
+ .long 2939989570
+ .long 1023091888
+ .long 3380340480
+ .long 1070441375
+ .long 2850707499
+ .long 1021921109
+ .long 232287488
+ .long 1070458213
+ .long 3674625342
+ .long 1020725130
+ .long 1567614208
+ .long 1070475058
+ .long 9347334
+ .long 1022024009
+ .long 3433091072
+ .long 1070491911
+ .long 282524999
+ .long 1021433523
+ .long 1876877312
+ .long 1070508773
+ .long 3470449440
+ .long 1019309721
+ .long 1538472192
+ .long 1070525643
+ .long 2089486825
+ .long 1019698916
+ .long 2763830784
+ .long 1070542521
+ .long 443498115
+ .long 1020505194
+ .long 1605381632
+ .long 1070559408
+ .long 3018871601
+ .long 1022869913
+ .long 2706946048
+ .long 1070576303
+ .long 3936260892
+ .long 1023175875
+ .long 2123887360
+ .long 1070593207
+ .long 2994220655
+ .long 1022825948
+ .long 104015104
+ .long 1070603108
+ .long 335054493
+ .long 1023441853
+ .long 2904568832
+ .long 1070615800
+ .long 1451215633
+ .long 1023853857
+ .long 3456197120
+ .long 1070632739
+ .long 436334733
+ .long 1024026432
+ .long 252452352
+ .long 1070649697
+ .long 34596167
+ .long 1024031396
+ .long 3328018432
+ .long 1070666672
+ .long 2644547073
+ .long 1024296758
+ .long 1255829248
+ .long 1070683667
+ .long 552832586
+ .long 1023763122
+ .long 4097058560
+ .long 1070700680
+ .long 1955640623
+ .long 1021394654
+ .long 451770112
+ .long 1070717714
+ .long 3428903777
+ .long 1022941142
+ .long 408920832
+ .long 1070734767
+ .long 165503263
+ .long 1023894958
+ .long 1186960640
+ .long 1070751840
+ .long 435826450
+ .long 1024026134
+ .long 19078656
+ .long 1070768934
+ .long 1834169749
+ .long 1022899284
+ .long 2743490304
+ .long 1070786048
+ .long 494581074
+ .long 1018818479
+ .long 2328961024
+ .long 1070803184
+ .long 2987908834
+ .long 1022581110
+ .long 350011392
+ .long 1070820342
+ .long 240771184
+ .long 1024143083
+ .long 2692326912
+ .long 1070837521
+ .long 666056837
+ .long 1022394776
+ .long 2373274368
+ .long 1070854723
+ .long 2484337770
+ .long 1024228156
+ .long 1017131520
+ .long 1070871948
+ .long 3285648279
+ .long 1024025789
+ .long 265558272
+ .long 1070889196
+ .long 392241896
+ .long 1024252809
+ .long 1778008064
+ .long 1070906467
+ .long 1536107943
+ .long 1023949300
+ .long 2937184768
+ .long 1070923762
+ .long 3541062251
+ .long 1019448646
+ .long 1144442880
+ .long 1070941082
+ .long 3691683781
+ .long 1022123948
+ .long 2410165504
+ .long 1070958426
+ .long 1804181960
+ .long 1023945221
+ .long 4174350848
+ .long 1070975795
+ .long 2016094861
+ .long 1021716585
+ .long 3897012480
+ .long 1070993190
+ .long 175294410
+ .long 1023703404
+ .long 3353623040
+ .long 1071010611
+ .long 167973242
+ .long 1023240839
+ .long 45671168
+ .long 1071028059
+ .long 2166856113
+ .long 1021565413
+ .long 86063872
+ .long 1071045533
+ .long 2676254727
+ .long 1023985299
+ .long 1019772672
+ .long 1071063034
+ .long 989043593
+ .long 1021549587
+ .long 414297344
+ .long 1071080563
+ .long 3960972046
+ .long 1024307251
+ .long 155173120
+ .long 1071098120
+ .long 1830919291
+ .long 1021592251
+ .long 2151562240
+ .long 1071115705
+ .long 405408666
+ .long 1023423128
+ .long 4041854720
+ .long 1071133319
+ .long 2043497827
+ .long 1024411503
+ .long 3489224192
+ .long 1071150963
+ .long 3072215864
+ .long 1022698635
+ .long 2477196288
+ .long 1071168637
+ .long 1812195139
+ .long 1022689192
+ .long 3015298816
+ .long 1071186341
+ .long 764841969
+ .long 1021027331
+ .long 2844731136
+ .long 1071204076
+ .long 2878117321
+ .long 1019116513
+ .long 4028950528
+ .long 1071221842
+ .long 698911452
+ .long 1023265602
+ .long 69441536
+ .long 1071239641
+ .long 3253467847
+ .long 1020795075
+ .long 1676209920
+ .long 1071257471
+ .long 4272431167
+ .long 1022873982
+ .long 2408752384
+ .long 1071275334
+ .long 648519100
+ .long 1024385717
+ .long 151623680
+ .long 1071293231
+ .long 345257017
+ .long 1019561408
+ .long 1410154240
+ .long 1071311161
+ .long 197863993
+ .long 1023224207
+ .long 4131351552
+ .long 1071329125
+ .long 2620801789
+ .long 1024411169
+ .long 1999664384
+ .long 1071347125
+ .long 3952692616
+ .long 1024168086
+ .long 1617668864
+ .long 1071365160
+ .long 3019889809
+ .long 1021907692
+ .long 1032074240
+ .long 1071383231
+ .long 59469899
+ .long 1023656194
+ .long 2619492096
+ .long 1071401338
+ .long 1417526820
+ .long 1021457783
+ .long 202429440
+ .long 1071419483
+ .long 2927667935
+ .long 1019175447
+ .long 525044224
+ .long 1071437665
+ .long 38166811
+ .long 1023981879
+ .long 1779258880
+ .long 1071455885
+ .long 481252500
+ .long 1023310234
+ .long 2195673600
+ .long 1071474144
+ .long 3962395981
+ .long 1021339088
+ .long 44573696
+ .long 1071492443
+ .long 3936281395
+ .long 1023014829
+ .long 2226905344
+ .long 1071510781
+ .long 1515320476
+ .long 1024320623
+ .long 2800512512
+ .long 1071529160
+ .long 1225403697
+ .long 1021081846
+ .long 161113600
+ .long 1071547581
+ .long 3064809733
+ .long 1024173917
+ .long 1338410240
+ .long 1071566043
+ .long 2027604973
+ .long 1024362526
+ .long 522433280
+ .long 1071584548
+ .long 2055171723
+ .long 1023858825
+ .long 539595776
+ .long 1071603096
+ .long 3868820135
+ .long 1022936424
+ .long 4264017664
+ .long 1071621687
+ .long 3228065145
+ .long 1023479578
+ .long 1733924096
+ .long 1071640324
+ .long 3511934475
+ .long 1022496355
+ .long 108880384
+ .long 1071651839
+ .long 615880967
+ .long 1023519706
+ .long 3517856512
+ .long 1071661202
+ .long 3113108559
+ .long 1025190289
+ .long 4043153152
+ .long 1071670589
+ .long 1571836218
+ .long 1023106116
+ .long 3251299072
+ .long 1071680000
+ .long 3444076102
+ .long 1022187841
+ .long 2736921600
+ .long 1071689435
+ .long 272771483
+ .long 1025095280
+ .long 3897698560
+ .long 1071703633
+ .long 2075390188
+ .long 1022489022
+ .long 3209485056
+ .long 1071722652
+ .long 1438094065
+ .long 1021844944
+ .long 3781432064
+ .long 1071741774
+ .long 1675017145
+ .long 1024143828
+ .long 2684184064
+ .long 1071761003
+ .long 2259963753
+ .long 1024731393
+ .long 1840489728
+ .long 1071780342
+ .long 3372883597
+ .long 1023431408
+ .long 3764087808
+ .long 1071799794
+ .long 3307523102
+ .long 1024485788
+ .long 3006232320
+ .long 1071819364
+ .long 3088971966
+ .long 1025213251
+ .long 3374881280
+ .long 1071839055
+ .long 834437749
+ .long 1025236452
+ .long 797284864
+ .long 1071858872
+ .long 3122663941
+ .long 1025320473
+ .long 545765120
+ .long 1071878818
+ .long 826539625
+ .long 1022450955
+ .long 107562240
+ .long 1071898898
+ .long 339584600
+ .long 1022481255
+ .long 2123649024
+ .long 1071919116
+ .long 3912959833
+ .long 1024321009
+ .long 1562385664
+ .long 1071939478
+ .long 2846067230
+ .long 1023343981
+ .long 2963085824
+ .long 1071959988
+ .long 954548627
+ .long 1021475211
+ .long 3325550592
+ .long 1071980652
+ .long 3459651155
+ .long 1025305573
+ .long 775752448
+ .long 1072001476
+ .long 3582746667
+ .long 1023859460
+ .long 3238590720
+ .long 1072022464
+ .long 634636162
+ .long 1024472353
+ .long 2758801920
+ .long 1072043624
+ .long 3078216319
+ .long 1025304516
+ .long 1370319104
+ .long 1072064962
+ .long 2570569078
+ .long 1025099442
+ .long 2615805184
+ .long 1072086484
+ .long 3729933412
+ .long 1024605112
+ .long 3077336576
+ .long 1072108198
+ .long 1948916066
+ .long 1024781603
+ .long 1099528192
+ .long 1072130112
+ .long 3139143157
+ .long 1023729360
+ .long 1231903232
+ .long 1072152233
+ .long 1349513477
+ .long 1024737515
+ .long 1507504128
+ .long 1072174570
+ .long 3484516322
+ .long 1024000959
+ .long 2214659840
+ .long 1072197132
+ .long 2563820917
+ .long 1025225535
+ .long 1804739840
+ .long 1072219929
+ .long 760038746
+ .long 1024482855
+ .long 1413746688
+ .long 1072242971
+ .long 3401734714
+ .long 1025129838
+ .long 821409536
+ .long 1072266269
+ .long 3729772551
+ .long 1025484796
+ .long 3031825664
+ .long 1072289834
+ .long 122256749
+ .long 1024752594
+ .long 1710784256
+ .long 1072313680
+ .long 1518205483
+ .long 1024724809
+ .long 3025265152
+ .long 1072337819
+ .long 409951989
+ .long 1022835555
+ .long 287769088
+ .long 1072362267
+ .long 800355594
+ .long 1022484850
+ .long 198179840
+ .long 1072387038
+ .long 3502926213
+ .long 1024209373
+ .long 1909130496
+ .long 1072412149
+ .long 3064694319
+ .long 1025380823
+ .long 1941732096
+ .long 1072437619
+ .long 4112930390
+ .long 1024294679
+ .long 3492010496
+ .long 1072463467
+ .long 2684918107
+ .long 1023220233
+ .long 81959680
+ .long 1072489716
+ .long 220021366
+ .long 1020635131
+ .long 2297837056
+ .long 1072516387
+ .long 4027683826
+ .long 1021041185
+ .long 270404096
+ .long 1072543508
+ .long 2012766065
+ .long 1021780753
+ .long 3667376896
+ .long 1072571105
+ .long 2727981522
+ .long 1023009874
+ .long 330400256
+ .long 1072599212
+ .long 2940017003
+ .long 1025393439
+ .long 1119293952
+ .long 1072627861
+ .long 1608550416
+ .long 1022675612
+ .long 3536155904
+ .long 1072657091
+ .long 349665778
+ .long 1025156751
+ .long 3078046720
+ .long 1072686946
+ .long 2016159996
+ .long 1022193169
+ .long 455228416
+ .long 1072705361
+ .long 1908539328
+ .long 1026126332
+ .long 1871505664
+ .long 1072720988
+ .long 2784700894
+ .long 1025922277
+ .long 1630994432
+ .long 1072737010
+ .long 361107678
+ .long 1022887244
+ .long 2084558336
+ .long 1072753462
+ .type Tbl_addr,@object
+ .size Tbl_addr,3840
+ .space 768, 0x00 # pad
+ .align 16
+cv:
+ .long 0
+ .long 0
+ .long 1431655765
+ .long 3217380693
+ .long 858993459
+ .long 3216192307
+ .long 3067833783
+ .long 3215383405
+ .type cv,@object
+ .size cv,32
+ .align 16
+PI_BY_2:
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .type PI_BY_2,@object
+ .size PI_BY_2,16
+ .align 16
+NEG_PI:
+ .long 856972295
+ .long 3164710438
+ .long 1413754136
+ .long 3221823995
+ .type NEG_PI,@object
+ .size NEG_PI,16
+ .align 16
+cv2:
+ .long 780903145
+ .long 1066854586
+ .long 858993459
+ .long 1068708659
+ .long 3340530119
+ .long 1067392113
+ .long 1431655765
+ .long 1069897045
+ .long 1321528399
+ .long 1066517740
+ .long 3067833783
+ .long 1067899757
+ .long 2021159460
+ .long 1065855096
+ .long 2576980378
+ .long 1066178969
+ .type cv2,@object
+ .size cv2,64
+ .align 16
+HALFMASK:
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .type HALFMASK,@object
+ .size HALFMASK,16
+ .align 16
+PI:
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 1074340347
+ .type PI,@object
+ .size PI,16
+ .align 4
+ONEMASK:
+ .long 0
+ .long 1072693248
+ .type ONEMASK,@object
+ .size ONEMASK,8
+ .align 4
+TMASK:
+ .long 0
+ .long 4294950912
+ .type TMASK,@object
+ .size TMASK,8
+ .align 4
+ONE_BY_2:
+ .long 0
+ .long 1071644672
+ .type ONE_BY_2,@object
+ .size ONE_BY_2,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_acos.1-.
+ .4byte ..___tag_value_acos.5-..___tag_value_acos.1
+ .2byte 0x0400
+ .4byte ..___tag_value_acos.3-..___tag_value_acos.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_acos.4-..___tag_value_acos.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_asin.S b/libm/x86_64/e_asin.S
new file mode 100644
index 0000000..9f41c7c
--- /dev/null
+++ b/libm/x86_64/e_asin.S
@@ -0,0 +1,2036 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// To compute asin(s), separate schemes are used when s is in different
+// intervals.
+//
+// |s| in [2^{-4}, sqrt(3)/2):
+// Let t=2^k*1.b1 b2..b6 1, where s=2^k*1.b1 b2 .. b52
+// asin(s)=asin(t)+asin(r), where r=s*sqrt(1-t^2)-t*sqrt(1-s^2)
+// asin(r)-r evaluated as 7-degree polynomial (c3*r^3+c5*r^5+c7*r^7)
+// For the first degree term, r is evaluated as
+// R=(s^2-t^2)/(sqrt(1-t^2)*s+sqrt(1-s^2)*t)
+// (sqrt(1-t^2) read from table)
+// The main source of error is still R (may still be affected by up to 3 ulps
+// of rounding error). The table size must be sufficiently large, to minimize
+// this effect.
+//
+// |s| in [sqrt(3)/2, 255/256):
+// Let t=2^k*1.b1 b2..b6 1, where sqrt(1-s^2)=2^k*1.b1 b2 .. b52 (rounded)
+// asin(|s|)=pi/2-asin(t)+asin(r), r=s*t-sqrt(1-s^2)*sqrt(1-t^2)
+// asin(r) evaluated as polynomial (same as above)
+// The first degree term is evaluated as
+// r=(s^2+t^2-1)/(s*t+sqrt(1-s^2)*sqrt(1-t^2))
+//
+// |s|<2^{-4}: evaluate as 13-degree polynomial
+//
+// |s| in [255/256,1): asin(|s|)=pi/2-asin(sqrt(1-s^2))
+// use 17-degree polynomial, get error term
+// Q*eps ~ (1-s^2-Q^2)/(2*Q) for first term
+// ( Q(1+eps)=sqrt(1-s^2) )
+//
+// Special cases:
+// asin(NaN) = quiet NaN, and raise invalid exception
+// asin(INF) = QNaN and raise invalid exception
+// asin(x) = QNaN and raise invalid exception, for |x|>1.0
+// asin(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin asin
+ENTRY(asin)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_asin.1:
+ subq $24, %rsp
+..___tag_value_asin.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ stmxcsr 16(%rsp)
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ jne .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ movsd ABSVALMASK(%rip), %xmm4
+ movsd ONEMASK(%rip), %xmm3
+ xorpd %xmm5, %xmm5
+ movsd TMASK(%rip), %xmm2
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movq %xmm0, %xmm1
+ psrlq $44, %xmm0
+ movd %xmm0, %edx
+ movq %xmm1, %xmm7
+ movl $8192, %ecx
+ pinsrw $2, %ecx, %xmm5
+ movq %xmm1, %xmm0
+ movl $524287, %eax
+ andl %edx, %eax
+ subl $260864, %eax
+ cmpl $955, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ mulsd %xmm1, %xmm1
+ andl $65535, %edx
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ andpd %xmm7, %xmm2
+ andl $-4, %edx
+ subl $64256, %edx
+ lea T_table(%rip), %r8
+ movsd (%r8,%rdx,2), %xmm1
+ orpd %xmm5, %xmm2
+ lea Tbl_addr(%rip), %r8
+ movapd (%r8,%rdx,4), %xmm4
+ movq %xmm7, %xmm6
+ addsd %xmm2, %xmm7
+ subsd %xmm2, %xmm0
+ mulsd %xmm7, %xmm0
+ mulsd %xmm1, %xmm6
+ mulsd %xmm2, %xmm3
+ movq %xmm6, %xmm1
+ addsd %xmm3, %xmm6
+ divsd %xmm6, %xmm0
+ movsd 16+cv(%rip), %xmm7
+ movsd cv(%rip), %xmm5
+ subsd %xmm3, %xmm1
+ andpd SIGNMASK(%rip), %xmm2
+ movq %xmm1, %xmm3
+ mulsd %xmm1, %xmm1
+ movsd 8+cv(%rip), %xmm6
+ mulsd %xmm1, %xmm3
+ mulsd %xmm1, %xmm7
+ mulsd %xmm3, %xmm5
+ xorpd %xmm2, %xmm4
+ mulsd %xmm1, %xmm3
+ addsd %xmm7, %xmm6
+ mulsd %xmm3, %xmm6
+ addsd %xmm4, %xmm5
+ pshufd $238, %xmm4, %xmm4
+ addsd %xmm5, %xmm6
+ orpd %xmm2, %xmm4
+ addsd %xmm6, %xmm0
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_3.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_3.0.2:
+ addsd %xmm4, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ subl $955, %eax
+ cmpl $67, %eax
+ jae .L_2TAG_PACKET_4.0.2
+ mulsd %xmm1, %xmm1
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ movl %edx, %eax
+ andpd ABSVALMASK(%rip), %xmm0
+ andpd HALFMASK2(%rip), %xmm7
+ movq %xmm0, %xmm1
+ movsd ONEMASK(%rip), %xmm4
+ movq %xmm7, %xmm6
+ subsd %xmm7, %xmm1
+ mulsd %xmm7, %xmm7
+ addsd %xmm6, %xmm0
+ subsd %xmm7, %xmm4
+ mulsd %xmm1, %xmm0
+ movq %xmm3, %xmm7
+ andpd %xmm3, %xmm2
+ psllq $2, %xmm3
+ pextrw $3, %xmm3, %edx
+ orpd %xmm5, %xmm2
+ subl $65216, %edx
+ addl %edx, %edx
+ lea T_table(%rip), %r8
+ mulsd (%r8,%rdx,4), %xmm7
+ mulsd %xmm2, %xmm6
+ movapd PI_BY_2(%rip), %xmm3
+ mulsd %xmm2, %xmm1
+ mulsd %xmm2, %xmm2
+ subsd %xmm7, %xmm6
+ addsd %xmm1, %xmm6
+ subsd %xmm2, %xmm4
+ addsd %xmm7, %xmm7
+ movsd cv(%rip), %xmm5
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm7
+ movsd 16+cv(%rip), %xmm0
+ divsd %xmm7, %xmm4
+ movsd 8+cv(%rip), %xmm2
+ lea Tbl_addr(%rip), %r8
+ subpd (%r8,%rdx,8), %xmm3
+ movq %xmm6, %xmm1
+ mulsd %xmm6, %xmm6
+ andl $524288, %eax
+ shrl $4, %eax
+ mulsd %xmm6, %xmm0
+ mulsd %xmm6, %xmm1
+ mulsd %xmm1, %xmm5
+ mulsd %xmm6, %xmm1
+ addsd %xmm2, %xmm0
+ pxor %xmm6, %xmm6
+ mulsd %xmm1, %xmm0
+ addsd %xmm3, %xmm5
+ pinsrw $3, %eax, %xmm6
+ addsd %xmm5, %xmm0
+ movq %xmm4, %xmm5
+ pshufd $238, %xmm3, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm3
+ subsd %xmm3, %xmm5
+ subsd %xmm5, %xmm0
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_5.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_5.0.2:
+ xorpd %xmm6, %xmm0
+ xorpd %xmm6, %xmm4
+ subsd %xmm4, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ addl $15291, %eax
+ cmpl $14336, %eax
+ jae .L_2TAG_PACKET_6.0.2
+ unpcklpd %xmm7, %xmm7
+ movapd cv2(%rip), %xmm1
+ movapd %xmm7, %xmm6
+ movapd 16+cv2(%rip), %xmm2
+ movapd 32+cv2(%rip), %xmm4
+ mulpd %xmm7, %xmm7
+ mulpd %xmm7, %xmm6
+ mulpd %xmm7, %xmm1
+ mulpd %xmm7, %xmm7
+ movq %xmm6, %xmm3
+ mulsd %xmm6, %xmm6
+ addpd %xmm2, %xmm1
+ mulpd %xmm7, %xmm4
+ mulsd %xmm3, %xmm6
+ addpd %xmm4, %xmm1
+ mulpd %xmm6, %xmm1
+ pshufd $238, %xmm1, %xmm2
+ addsd %xmm2, %xmm1
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_7.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_7.0.2:
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ subl $15358, %eax
+ cmpl $2, %eax
+ jae .L_2TAG_PACKET_8.0.2
+ mulsd %xmm1, %xmm1
+ subsd %xmm1, %xmm3
+ sqrtsd %xmm3, %xmm3
+ movl %edx, %eax
+ andpd HALFMASK(%rip), %xmm7
+ pshufd $68, %xmm3, %xmm5
+ andpd HALFMASK(%rip), %xmm3
+ movq %xmm7, %xmm1
+ movsd ONEMASK(%rip), %xmm4
+ movq %xmm7, %xmm6
+ subsd %xmm7, %xmm0
+ mulsd %xmm7, %xmm7
+ addsd %xmm1, %xmm1
+ mulsd %xmm0, %xmm1
+ subsd %xmm7, %xmm4
+ movq %xmm3, %xmm6
+ mulsd %xmm3, %xmm3
+ mulsd %xmm0, %xmm0
+ subsd %xmm1, %xmm4
+ subsd %xmm5, %xmm6
+ addsd %xmm5, %xmm5
+ subsd %xmm3, %xmm4
+ movapd cv2(%rip), %xmm2
+ pshufd $238, %xmm5, %xmm3
+ subsd %xmm0, %xmm4
+ addsd %xmm6, %xmm5
+ pshufd $238, %xmm3, %xmm7
+ addsd %xmm3, %xmm3
+ mulsd %xmm6, %xmm5
+ addsd %xmm5, %xmm4
+ pshufd $238, %xmm7, %xmm6
+ divsd %xmm3, %xmm4
+ movapd 48+cv2(%rip), %xmm1
+ movapd 16+cv2(%rip), %xmm5
+ movapd 32+cv2(%rip), %xmm0
+ mulpd %xmm7, %xmm7
+ movq %xmm6, %xmm3
+ mulpd %xmm7, %xmm2
+ mulpd %xmm7, %xmm6
+ shrl $4, %eax
+ andl $32768, %eax
+ mulsd %xmm7, %xmm1
+ mulpd %xmm7, %xmm7
+ addpd %xmm2, %xmm5
+ movapd %xmm6, %xmm2
+ mulsd %xmm6, %xmm6
+ mulpd %xmm0, %xmm7
+ movapd PI_BY_2(%rip), %xmm0
+ mulsd %xmm6, %xmm2
+ addpd %xmm5, %xmm7
+ pshufd $238, %xmm1, %xmm5
+ mulsd %xmm2, %xmm6
+ mulpd %xmm2, %xmm7
+ addsd %xmm5, %xmm1
+ xorpd %xmm5, %xmm5
+ pshufd $238, %xmm7, %xmm2
+ mulsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm2, %xmm7
+ movq %xmm3, %xmm2
+ pinsrw $3, %eax, %xmm5
+ subsd %xmm6, %xmm3
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm6
+ addsd %xmm4, %xmm7
+ subsd %xmm6, %xmm2
+ subsd %xmm7, %xmm0
+ subsd %xmm2, %xmm0
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_9.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_9.0.2:
+ xorpd %xmm5, %xmm0
+ xorpd %xmm5, %xmm3
+ subsd %xmm3, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_8.0.2:
+ addl $261886, %eax
+ cmpl $261888, %eax
+ jb .L_2TAG_PACKET_10.0.2
+ movd %xmm0, %ecx
+ psrlq $32, %xmm0
+ movd %xmm0, %edx
+ andl $2147483647, %edx
+ movl $1072693248, %eax
+ subl %edx, %eax
+ orl %ecx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_11.0.2
+ movsd (%rsp), %xmm2
+ movd %xmm2, %edx
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $2147483647, %ecx
+ subl $1, %edx
+ sbbl $2146435072, %ecx
+ cmpl $0, %ecx
+ jge .L_2TAG_PACKET_10.0.2
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_12.0.2
+.L_2TAG_PACKET_11.0.2:
+ movsd ABSVALMASK(%rip), %xmm1
+ movsd PI_BY_2(%rip), %xmm2
+ movsd 8+PI_BY_2(%rip), %xmm0
+ addsd %xmm2, %xmm0
+ andnpd %xmm7, %xmm1
+ orpd %xmm1, %xmm0
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_13.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_13.0.2:
+ jmp ..B1.5
+.L_2TAG_PACKET_10.0.2:
+ movsd (%rsp), %xmm0
+ xorpd %xmm6, %xmm6
+ movq %xmm0, %xmm7
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_14.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_14.0.2:
+ pextrw $3, %xmm0, %edx
+ andl $32752, %edx
+ subl $16, %edx
+ cmpl $32736, %edx
+ jb .L_2TAG_PACKET_15.0.2
+ addsd %xmm0, %xmm6
+ orpd %xmm6, %xmm0
+ mulsd %xmm0, %xmm7
+.L_2TAG_PACKET_15.0.2:
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ movl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_12.0.2:
+ movl 16(%rsp), %eax
+ andl $-24577, %eax
+ cmpl 16(%rsp), %eax
+ je .L_2TAG_PACKET_16.0.2
+ stmxcsr 20(%rsp)
+ movl 16(%rsp), %eax
+ andl $24576, %eax
+ orl %eax, 20(%rsp)
+ ldmxcsr 20(%rsp)
+.L_2TAG_PACKET_16.0.2:
+ movq %xmm0, 8(%rsp)
+..B1.3:
+ movq 8(%rsp), %xmm0
+.L_2TAG_PACKET_17.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_asin.4:
+ ret
+..___tag_value_asin.5:
+END(asin)
+# -- End asin
+ .section .rodata, "a"
+ .align 16
+ .align 16
+ABSVALMASK:
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 0
+ .type ABSVALMASK,@object
+ .size ABSVALMASK,16
+ .align 16
+T_table:
+ .long 2642784509
+ .long 1072689083
+ .long 1514442531
+ .long 1072688953
+ .long 333108933
+ .long 1072688821
+ .long 3392112024
+ .long 1072688686
+ .long 2099852862
+ .long 1072688550
+ .long 749609004
+ .long 1072688412
+ .long 3634632596
+ .long 1072688271
+ .long 2163248461
+ .long 1072688129
+ .long 628657846
+ .long 1072687985
+ .long 3324036511
+ .long 1072687838
+ .long 1657632815
+ .long 1072687690
+ .long 4217538760
+ .long 1072687539
+ .long 2411951597
+ .long 1072687387
+ .long 533944872
+ .long 1072687233
+ .long 2876566508
+ .long 1072687076
+ .long 847936891
+ .long 1072686918
+ .long 3036019913
+ .long 1072686757
+ .long 848884575
+ .long 1072686595
+ .long 2874443326
+ .long 1072686430
+ .long 520713666
+ .long 1072686264
+ .long 2375556481
+ .long 1072686095
+ .long 4141904948
+ .long 1072685924
+ .long 1522666382
+ .long 1072685752
+ .long 3105624104
+ .long 1072685577
+ .long 298666327
+ .long 1072685401
+ .long 1689524500
+ .long 1072685222
+ .long 2981002200
+ .long 1072685041
+ .long 4170844284
+ .long 1072684858
+ .long 961802263
+ .long 1072684674
+ .long 1941503454
+ .long 1072684487
+ .long 2812647170
+ .long 1072684298
+ .long 3572873869
+ .long 1072684107
+ .long 4219797823
+ .long 1072683914
+ .long 456039788
+ .long 1072683720
+ .long 869096151
+ .long 1072683523
+ .long 1161535119
+ .long 1072683324
+ .long 1330865866
+ .long 1072683123
+ .long 1374571204
+ .long 1072682920
+ .long 1290107538
+ .long 1072682715
+ .long 1074904836
+ .long 1072682508
+ .long 726366587
+ .long 1072682299
+ .long 241869763
+ .long 1072682088
+ .long 3913732079
+ .long 1072681874
+ .long 3149342765
+ .long 1072681659
+ .long 2240966306
+ .long 1072681442
+ .long 1185873216
+ .long 1072681223
+ .long 4276274591
+ .long 1072681001
+ .long 2919452883
+ .long 1072680778
+ .long 1407565635
+ .long 1072680553
+ .long 4032743551
+ .long 1072680325
+ .long 2202188565
+ .long 1072680096
+ .long 207977577
+ .long 1072679865
+ .long 2342160518
+ .long 1072679631
+ .long 11858423
+ .long 1072679396
+ .long 1804034453
+ .long 1072679158
+ .long 3420722787
+ .long 1072678918
+ .long 563930456
+ .long 1072678677
+ .long 1820539192
+ .long 1072678433
+ .long 2892501606
+ .long 1072678187
+ .long 3776710320
+ .long 1072677939
+ .long 175063337
+ .long 1072677690
+ .long 674333171
+ .long 1072677438
+ .long 976363026
+ .long 1072677184
+ .long 1077935934
+ .long 1072676928
+ .long 1921075490
+ .long 1072676540
+ .long 881493302
+ .long 1072676016
+ .long 3275752439
+ .long 1072675483
+ .long 486855588
+ .long 1072674943
+ .long 1077229111
+ .long 1072674394
+ .long 723950308
+ .long 1072673837
+ .long 3693582199
+ .long 1072673271
+ .long 1367335316
+ .long 1072672698
+ .long 2305837020
+ .long 1072672116
+ .long 2184358641
+ .long 1072671526
+ .long 972682840
+ .long 1072670928
+ .long 2935101762
+ .long 1072670321
+ .long 3745513263
+ .long 1072669706
+ .long 3372320886
+ .long 1072669083
+ .long 1783464620
+ .long 1072668452
+ .long 3241386215
+ .long 1072667812
+ .long 3418125284
+ .long 1072667164
+ .long 2280219148
+ .long 1072666508
+ .long 4088700758
+ .long 1072665843
+ .long 219227400
+ .long 1072665171
+ .long 3521816918
+ .long 1072664489
+ .long 1076205279
+ .long 1072663800
+ .long 1436484616
+ .long 1072663102
+ .long 271362610
+ .long 1072662396
+ .long 1838996688
+ .long 1072661681
+ .long 1807122518
+ .long 1072660958
+ .long 137953542
+ .long 1072660227
+ .long 1088178584
+ .long 1072659487
+ .long 324057537
+ .long 1072658739
+ .long 2101288076
+ .long 1072657982
+ .long 2085133974
+ .long 1072657217
+ .long 235324451
+ .long 1072656444
+ .long 806051592
+ .long 1072655662
+ .long 3756033140
+ .long 1072654871
+ .long 453542543
+ .long 1072654073
+ .long 3741177327
+ .long 1072653265
+ .long 691216109
+ .long 1072652450
+ .long 4145223372
+ .long 1072651625
+ .long 1174439091
+ .long 1072650793
+ .long 324416139
+ .long 1072649952
+ .long 1550246310
+ .long 1072649102
+ .long 511524674
+ .long 1072648244
+ .long 1457248482
+ .long 1072647377
+ .long 45944955
+ .long 1072646502
+ .long 525537397
+ .long 1072645618
+ .long 2848440188
+ .long 1072644725
+ .long 2671555633
+ .long 1072643824
+ .long 4241172637
+ .long 1072642914
+ .long 3213094278
+ .long 1072641996
+ .long 3832503688
+ .long 1072641069
+ .long 1754091534
+ .long 1072640134
+ .long 1221921804
+ .long 1072639190
+ .long 2184526489
+ .long 1072638237
+ .long 294902089
+ .long 1072637276
+ .long 4090375270
+ .long 1072636305
+ .long 632860906
+ .long 1072635327
+ .long 2753498702
+ .long 1072634339
+ .long 1808009252
+ .long 1072633343
+ .long 2036428672
+ .long 1072632338
+ .long 3383235626
+ .long 1072631324
+ .long 1497347484
+ .long 1072630302
+ .long 617018317
+ .long 1072629271
+ .long 684933058
+ .long 1072628231
+ .long 1643170798
+ .long 1072627182
+ .long 3011066360
+ .long 1072625592
+ .long 957158713
+ .long 1072623442
+ .long 1390907941
+ .long 1072621256
+ .long 3819155270
+ .long 1072619034
+ .long 3443571196
+ .long 1072616777
+ .long 4045412458
+ .long 1072614484
+ .long 805503923
+ .long 1072612156
+ .long 1778922015
+ .long 1072609791
+ .long 2125033665
+ .long 1072607390
+ .long 1287203863
+ .long 1072604953
+ .long 2992629568
+ .long 1072602479
+ .long 2367267127
+ .long 1072599969
+ .long 3115526047
+ .long 1072597422
+ .long 340219539
+ .long 1072594839
+ .long 2017215719
+ .long 1072592218
+ .long 3225443424
+ .long 1072589560
+ .long 3326565673
+ .long 1072586865
+ .long 1669811211
+ .long 1072584133
+ .long 1886735022
+ .long 1072581363
+ .long 3301071171
+ .long 1072578555
+ .long 928514283
+ .long 1072575710
+ .long 2656364059
+ .long 1072572826
+ .long 3473490507
+ .long 1072569904
+ .long 2649965606
+ .long 1072566944
+ .long 3736819052
+ .long 1072563945
+ .long 1680885175
+ .long 1072560908
+ .long 4413771
+ .long 1072557832
+ .long 2214869753
+ .long 1072554716
+ .long 3214725184
+ .long 1072551561
+ .long 2186079903
+ .long 1072548367
+ .long 2590372131
+ .long 1072545133
+ .long 3578146079
+ .long 1072541859
+ .long 4283712755
+ .long 1072538545
+ .long 3824834510
+ .long 1072535191
+ .long 1302400298
+ .long 1072531797
+ .long 95058636
+ .long 1072528362
+ .long 3563906063
+ .long 1072524885
+ .long 2167230730
+ .long 1072521368
+ .long 3524918334
+ .long 1072517809
+ .long 2353304918
+ .long 1072514209
+ .long 1939625839
+ .long 1072510567
+ .long 1256714581
+ .long 1072506883
+ .long 3552525848
+ .long 1072503156
+ .long 3464809522
+ .long 1072499387
+ .long 4200542593
+ .long 1072495575
+ .long 355609124
+ .long 1072491721
+ .long 3684139099
+ .long 1072487822
+ .long 148355918
+ .long 1072483881
+ .long 1457689242
+ .long 1072479895
+ .long 2118591596
+ .long 1072475865
+ .long 908848089
+ .long 1072471791
+ .long 877032689
+ .long 1072467672
+ .long 752012304
+ .long 1072463508
+ .long 3532301749
+ .long 1072459298
+ .long 3600563221
+ .long 1072455043
+ .long 3902857084
+ .long 1072450742
+ .long 3063101036
+ .long 1072446395
+ .long 3972344374
+ .long 1072442001
+ .long 903183549
+ .long 1072437561
+ .long 983892938
+ .long 1072433073
+ .long 2722858568
+ .long 1072428537
+ .long 302790515
+ .long 1072423954
+ .long 759811057
+ .long 1072419322
+ .long 2507809922
+ .long 1072414641
+ .long 2388408813
+ .long 1072407528
+ .long 2084492942
+ .long 1072397870
+ .long 2435703301
+ .long 1072388010
+ .long 1935433360
+ .long 1072377945
+ .long 2742047290
+ .long 1072367671
+ .long 2053284205
+ .long 1072357185
+ .long 657783367
+ .long 1072346483
+ .long 2893664841
+ .long 1072335560
+ .long 3718906405
+ .long 1072324413
+ .long 1547896303
+ .long 1072313038
+ .long 2494058440
+ .long 1072301429
+ .long 3133238742
+ .long 1072289582
+ .long 3327000086
+ .long 1072277492
+ .long 1860667274
+ .long 1072265154
+ .long 665340747
+ .long 1072252562
+ .long 443347841
+ .long 1072239710
+ .long 581282618
+ .long 1072226592
+ .long 3349780465
+ .long 1072213201
+ .long 914217606
+ .long 1072199532
+ .long 989797661
+ .long 1072185576
+ .long 945436416
+ .long 1072171326
+ .long 549291300
+ .long 1072156774
+ .long 1814636389
+ .long 1072141911
+ .long 239092858
+ .long 1072126729
+ .long 1794680724
+ .long 1072111217
+ .long 1241534678
+ .long 1072095366
+ .long 3366566214
+ .long 1072079164
+ .long 1244090828
+ .long 1072062601
+ .long 1708448120
+ .long 1072045663
+ .long 3544260650
+ .long 1072028337
+ .long 1402741403
+ .long 1072010610
+ .long 2551936888
+ .long 1071992465
+ .long 617669739
+ .long 1071973887
+ .long 794002186
+ .long 1071954857
+ .long 2021237693
+ .long 1071935356
+ .long 540450384
+ .long 1071915364
+ .long 1920555537
+ .long 1071894857
+ .long 2879585206
+ .long 1071873811
+ .long 3000237455
+ .long 1071852199
+ .long 3352974346
+ .long 1071829991
+ .long 569629937
+ .long 1071807155
+ .long 2077237208
+ .long 1071783653
+ .long 2284891805
+ .long 1071759446
+ .long 1226651784
+ .long 1071734489
+ .long 1102047405
+ .long 1071708731
+ .long 2009896384
+ .long 1071682115
+ .long 927419082
+ .long 1071654577
+ .long 85010366
+ .long 1071607413
+ .long 696431025
+ .long 1071548180
+ .long 2611410541
+ .long 1071486585
+ .long 2612593658
+ .long 1071422396
+ .long 3548155306
+ .long 1071355336
+ .long 3887997484
+ .long 1071285073
+ .long 244854763
+ .long 1071211202
+ .long 4214445648
+ .long 1071133216
+ .long 2303966727
+ .long 1071050478
+ .long 3991040013
+ .long 1070962152
+ .long 3126952278
+ .long 1070867118
+ .long 1817448378
+ .long 1070763804
+ .long 1793814864
+ .long 1070649884
+ .long 3507224072
+ .long 1070447193
+ .long 4027609105
+ .long 1070148772
+ .long 577507993
+ .long 1069779414
+ .long 2310232419
+ .long 1068931829
+ .type T_table,@object
+ .size T_table,2048
+ .align 16
+Tbl_addr:
+ .long 3822952792
+ .long 1021639372
+ .long 182792448
+ .long 1068507836
+ .long 2264213271
+ .long 1019558908
+ .long 649052928
+ .long 1068524253
+ .long 1797139609
+ .long 1022295143
+ .long 1243095296
+ .long 1068540671
+ .long 1415938756
+ .long 1021439537
+ .long 2033294592
+ .long 1068557090
+ .long 2356809978
+ .long 1021777916
+ .long 3088063744
+ .long 1068573510
+ .long 2669055318
+ .long 1022124482
+ .long 180888576
+ .long 1068589932
+ .long 3566445325
+ .long 1021358712
+ .long 1970196992
+ .long 1068606354
+ .long 896980323
+ .long 1021319659
+ .long 4229555456
+ .long 1068622777
+ .long 436049712
+ .long 1021319758
+ .long 2732572160
+ .long 1068639202
+ .long 583123209
+ .long 1020797960
+ .long 1842831872
+ .long 1068655628
+ .long 1370449804
+ .long 1021429270
+ .long 1628994560
+ .long 1068672055
+ .long 2411391464
+ .long 1021057980
+ .long 2159763712
+ .long 1068688483
+ .long 1208692749
+ .long 1021943903
+ .long 3503886336
+ .long 1068704912
+ .long 538793309
+ .long 1019744063
+ .long 1435187200
+ .long 1068721343
+ .long 4085087612
+ .long 1020608419
+ .long 317469952
+ .long 1068737775
+ .long 144386942
+ .long 1021440732
+ .long 219617280
+ .long 1068754208
+ .long 2940088361
+ .long 1019981122
+ .long 1210558208
+ .long 1068770642
+ .long 2176850347
+ .long 1018373705
+ .long 3359268352
+ .long 1068787077
+ .long 2395611454
+ .long 1021889042
+ .long 2439803648
+ .long 1068803514
+ .long 1650705253
+ .long 1020227966
+ .long 2816203520
+ .long 1068819952
+ .long 3702166386
+ .long 1019379914
+ .long 262620672
+ .long 1068836392
+ .long 1855649370
+ .long 1020453124
+ .long 3438159616
+ .long 1068852832
+ .long 923063860
+ .long 1019273834
+ .long 3822105856
+ .long 1068869274
+ .long 4289947947
+ .long 1019434249
+ .long 1483729920
+ .long 1068885718
+ .long 787455814
+ .long 1020738379
+ .long 787321088
+ .long 1068902163
+ .long 3321653337
+ .long 1021842569
+ .long 1802253312
+ .long 1068918609
+ .long 2653633526
+ .long 1021821525
+ .long 302985984
+ .long 1068935057
+ .long 161272028
+ .long 1021655149
+ .long 653966080
+ .long 1068951506
+ .long 2566098667
+ .long 1020066219
+ .long 2924727296
+ .long 1068967956
+ .long 3646493722
+ .long 1014292285
+ .long 2889890304
+ .long 1068984408
+ .long 1081009196
+ .long 1022189620
+ .long 619098112
+ .long 1069000862
+ .long 4011643355
+ .long 1021773297
+ .long 477017600
+ .long 1069017317
+ .long 4030305534
+ .long 1021292252
+ .long 2533403904
+ .long 1069033773
+ .long 2645187591
+ .long 1019527099
+ .long 2563102208
+ .long 1069050231
+ .long 3857293792
+ .long 1022311697
+ .long 635982336
+ .long 1069066691
+ .long 3625936637
+ .long 1017511744
+ .long 1116940800
+ .long 1069083152
+ .long 3653872993
+ .long 1022016631
+ .long 4075964160
+ .long 1069099614
+ .long 2468900271
+ .long 1021769532
+ .long 993165568
+ .long 1069116079
+ .long 1358104224
+ .long 1021199776
+ .long 528586752
+ .long 1069132545
+ .long 2200950332
+ .long 1022024872
+ .long 2752395776
+ .long 1069149012
+ .long 3197072454
+ .long 1017751319
+ .long 3439855616
+ .long 1069165481
+ .long 1651081806
+ .long 1020809338
+ .long 2661257728
+ .long 1069181952
+ .long 539032752
+ .long 1021728805
+ .long 486957312
+ .long 1069198425
+ .long 3136045149
+ .long 1016888671
+ .long 1282340352
+ .long 1069214899
+ .long 2593963259
+ .long 1018956103
+ .long 822921728
+ .long 1069231375
+ .long 2146032737
+ .long 1022306465
+ .long 3474216192
+ .long 1069247852
+ .long 3976811625
+ .long 1021350207
+ .long 716902656
+ .long 1069264332
+ .long 718267222
+ .long 1018624727
+ .long 1211594496
+ .long 1069280813
+ .long 1485641389
+ .long 1018447451
+ .long 734070272
+ .long 1069297296
+ .long 354455128
+ .long 1021341291
+ .long 3650110720
+ .long 1069313780
+ .long 682185947
+ .long 1021651853
+ .long 1440663040
+ .long 1069330267
+ .long 3558574550
+ .long 1021615110
+ .long 2766612224
+ .long 1069346755
+ .long 874607978
+ .long 1017746872
+ .long 3404011008
+ .long 1069363245
+ .long 4154988502
+ .long 1021439906
+ .long 3423949056
+ .long 1069379737
+ .long 2263202309
+ .long 1021479615
+ .long 2897587712
+ .long 1069396231
+ .long 2562065031
+ .long 1022090363
+ .long 1896159232
+ .long 1069412727
+ .long 3836237663
+ .long 1019867288
+ .long 490968576
+ .long 1069429225
+ .long 3322056743
+ .long 1006752762
+ .long 3048360192
+ .long 1069445724
+ .long 1152314833
+ .long 1013122252
+ .long 1049850624
+ .long 1069462226
+ .long 3601590727
+ .long 1022214610
+ .long 3156899584
+ .long 1069478729
+ .long 1855169970
+ .long 1019487271
+ .long 851173376
+ .long 1069495235
+ .long 312649594
+ .long 1020868604
+ .long 2794281728
+ .long 1069511742
+ .long 1093490181
+ .long 1020777577
+ .long 468042496
+ .long 1069528252
+ .long 1152540679
+ .long 1021403732
+ .long 2534219264
+ .long 1069544763
+ .long 2292126035
+ .long 1021872430
+ .long 1376146432
+ .long 1069558527
+ .long 3293753641
+ .long 1020500454
+ .long 4175442432
+ .long 1069575044
+ .long 3626347564
+ .long 1021610969
+ .long 3523113472
+ .long 1069591566
+ .long 339956500
+ .long 1021119039
+ .long 4003350528
+ .long 1069608092
+ .long 3429333082
+ .long 1022813542
+ .long 1611067392
+ .long 1069624623
+ .long 2298017544
+ .long 1021977587
+ .long 931782144
+ .long 1069641158
+ .long 2164684743
+ .long 1021250988
+ .long 2256725504
+ .long 1069657697
+ .long 1138762335
+ .long 1021443776
+ .long 1582853120
+ .long 1069674241
+ .long 1084010382
+ .long 1022994693
+ .long 3497758720
+ .long 1069690789
+ .long 406366244
+ .long 1022713586
+ .long 3999816960
+ .long 1069707342
+ .long 1488723042
+ .long 1023381290
+ .long 3383096064
+ .long 1069723900
+ .long 2541558953
+ .long 1019137887
+ .long 1942403584
+ .long 1069740463
+ .long 1879620343
+ .long 1022653642
+ .long 4268263680
+ .long 1069757030
+ .long 3039077047
+ .long 1022252545
+ .long 2067062272
+ .long 1069773603
+ .long 4190670677
+ .long 1020725863
+ .long 4225828096
+ .long 1069790180
+ .long 1998567321
+ .long 1022014385
+ .long 2452507136
+ .long 1069806763
+ .long 1511628873
+ .long 1021900300
+ .long 1340746240
+ .long 1069823351
+ .long 788367341
+ .long 1022726208
+ .long 1190035456
+ .long 1069839944
+ .long 3856337230
+ .long 1021834118
+ .long 2300688384
+ .long 1069856542
+ .long 3211396579
+ .long 1022621365
+ .long 678886400
+ .long 1069873146
+ .long 4001011887
+ .long 1022042646
+ .long 921594112
+ .long 1069889755
+ .long 557811968
+ .long 1023065533
+ .long 3331668992
+ .long 1069906369
+ .long 1877060679
+ .long 1022419742
+ .long 3917875200
+ .long 1069922989
+ .long 1181055171
+ .long 1022752712
+ .long 2984829696
+ .long 1069939615
+ .long 4294526932
+ .long 1021499988
+ .long 838049024
+ .long 1069956247
+ .long 3658081878
+ .long 1022957952
+ .long 2078928384
+ .long 1069972884
+ .long 820353701
+ .long 1019391107
+ .long 2719854336
+ .long 1069989527
+ .long 1644022489
+ .long 1023378240
+ .long 3069117696
+ .long 1070006176
+ .long 2771393702
+ .long 1019319954
+ .long 3435962368
+ .long 1070022831
+ .long 3876394145
+ .long 1023024433
+ .long 4130595328
+ .long 1070039492
+ .long 1630447748
+ .long 1021465882
+ .long 1169236224
+ .long 1070056160
+ .long 2828355997
+ .long 1020458120
+ .long 3453997312
+ .long 1070072833
+ .long 164091641
+ .long 1020388279
+ .long 2708127744
+ .long 1070089513
+ .long 3036550223
+ .long 1023328684
+ .long 3540797696
+ .long 1070106199
+ .long 3710949463
+ .long 1022568805
+ .long 1972276736
+ .long 1070122892
+ .long 3885277950
+ .long 1019761674
+ .long 2613815552
+ .long 1070139591
+ .long 2764165077
+ .long 1022921023
+ .long 1487791616
+ .long 1070156297
+ .long 1330644769
+ .long 1023162679
+ .long 3207593472
+ .long 1070173009
+ .long 3911007221
+ .long 1022993496
+ .long 3797764608
+ .long 1070189728
+ .long 979712598
+ .long 1022554580
+ .long 3578920448
+ .long 1070206454
+ .long 2825738223
+ .long 1020223708
+ .long 2872795648
+ .long 1070223187
+ .long 392451124
+ .long 1022666279
+ .long 2002258432
+ .long 1070239927
+ .long 3730407632
+ .long 1023148291
+ .long 1291326464
+ .long 1070256674
+ .long 3723802980
+ .long 1022514089
+ .long 1065180928
+ .long 1070273428
+ .long 2635617463
+ .long 1022654470
+ .long 1650181632
+ .long 1070290189
+ .long 2061982883
+ .long 1022853411
+ .long 3373882880
+ .long 1070306957
+ .long 319732785
+ .long 1022017175
+ .long 2270081280
+ .long 1070323733
+ .long 2237757411
+ .long 1023064087
+ .long 2963732736
+ .long 1070340516
+ .long 468839165
+ .long 1023293774
+ .long 1491099904
+ .long 1070357307
+ .long 1502657946
+ .long 1021533479
+ .long 2479636480
+ .long 1070374105
+ .long 482913562
+ .long 1021986286
+ .long 1968133632
+ .long 1070390911
+ .long 3281474337
+ .long 1022646400
+ .long 291639040
+ .long 1070407725
+ .long 2453320259
+ .long 1022812423
+ .long 2081472512
+ .long 1070424546
+ .long 2939989570
+ .long 1023091888
+ .long 3380340480
+ .long 1070441375
+ .long 2850707499
+ .long 1021921109
+ .long 232287488
+ .long 1070458213
+ .long 3674625342
+ .long 1020725130
+ .long 1567614208
+ .long 1070475058
+ .long 9347334
+ .long 1022024009
+ .long 3433091072
+ .long 1070491911
+ .long 282524999
+ .long 1021433523
+ .long 1876877312
+ .long 1070508773
+ .long 3470449440
+ .long 1019309721
+ .long 1538472192
+ .long 1070525643
+ .long 2089486825
+ .long 1019698916
+ .long 2763830784
+ .long 1070542521
+ .long 443498115
+ .long 1020505194
+ .long 1605381632
+ .long 1070559408
+ .long 3018871601
+ .long 1022869913
+ .long 2706946048
+ .long 1070576303
+ .long 3936260892
+ .long 1023175875
+ .long 2123887360
+ .long 1070593207
+ .long 2994220655
+ .long 1022825948
+ .long 104015104
+ .long 1070603108
+ .long 335054493
+ .long 1023441853
+ .long 2904568832
+ .long 1070615800
+ .long 1451215633
+ .long 1023853857
+ .long 3456197120
+ .long 1070632739
+ .long 436334733
+ .long 1024026432
+ .long 252452352
+ .long 1070649697
+ .long 34596167
+ .long 1024031396
+ .long 3328018432
+ .long 1070666672
+ .long 2644547073
+ .long 1024296758
+ .long 1255829248
+ .long 1070683667
+ .long 552832586
+ .long 1023763122
+ .long 4097058560
+ .long 1070700680
+ .long 1955640623
+ .long 1021394654
+ .long 451770112
+ .long 1070717714
+ .long 3428903777
+ .long 1022941142
+ .long 408920832
+ .long 1070734767
+ .long 165503263
+ .long 1023894958
+ .long 1186960640
+ .long 1070751840
+ .long 435826450
+ .long 1024026134
+ .long 19078656
+ .long 1070768934
+ .long 1834169749
+ .long 1022899284
+ .long 2743490304
+ .long 1070786048
+ .long 494581074
+ .long 1018818479
+ .long 2328961024
+ .long 1070803184
+ .long 2987908834
+ .long 1022581110
+ .long 350011392
+ .long 1070820342
+ .long 240771184
+ .long 1024143083
+ .long 2692326912
+ .long 1070837521
+ .long 666056837
+ .long 1022394776
+ .long 2373274368
+ .long 1070854723
+ .long 2484337770
+ .long 1024228156
+ .long 1017131520
+ .long 1070871948
+ .long 3285648279
+ .long 1024025789
+ .long 265558272
+ .long 1070889196
+ .long 392241896
+ .long 1024252809
+ .long 1778008064
+ .long 1070906467
+ .long 1536107943
+ .long 1023949300
+ .long 2937184768
+ .long 1070923762
+ .long 3541062251
+ .long 1019448646
+ .long 1144442880
+ .long 1070941082
+ .long 3691683781
+ .long 1022123948
+ .long 2410165504
+ .long 1070958426
+ .long 1804181960
+ .long 1023945221
+ .long 4174350848
+ .long 1070975795
+ .long 2016094861
+ .long 1021716585
+ .long 3897012480
+ .long 1070993190
+ .long 175294410
+ .long 1023703404
+ .long 3353623040
+ .long 1071010611
+ .long 167973242
+ .long 1023240839
+ .long 45671168
+ .long 1071028059
+ .long 2166856113
+ .long 1021565413
+ .long 86063872
+ .long 1071045533
+ .long 2676254727
+ .long 1023985299
+ .long 1019772672
+ .long 1071063034
+ .long 989043593
+ .long 1021549587
+ .long 414297344
+ .long 1071080563
+ .long 3960972046
+ .long 1024307251
+ .long 155173120
+ .long 1071098120
+ .long 1830919291
+ .long 1021592251
+ .long 2151562240
+ .long 1071115705
+ .long 405408666
+ .long 1023423128
+ .long 4041854720
+ .long 1071133319
+ .long 2043497827
+ .long 1024411503
+ .long 3489224192
+ .long 1071150963
+ .long 3072215864
+ .long 1022698635
+ .long 2477196288
+ .long 1071168637
+ .long 1812195139
+ .long 1022689192
+ .long 3015298816
+ .long 1071186341
+ .long 764841969
+ .long 1021027331
+ .long 2844731136
+ .long 1071204076
+ .long 2878117321
+ .long 1019116513
+ .long 4028950528
+ .long 1071221842
+ .long 698911452
+ .long 1023265602
+ .long 69441536
+ .long 1071239641
+ .long 3253467847
+ .long 1020795075
+ .long 1676209920
+ .long 1071257471
+ .long 4272431167
+ .long 1022873982
+ .long 2408752384
+ .long 1071275334
+ .long 648519100
+ .long 1024385717
+ .long 151623680
+ .long 1071293231
+ .long 345257017
+ .long 1019561408
+ .long 1410154240
+ .long 1071311161
+ .long 197863993
+ .long 1023224207
+ .long 4131351552
+ .long 1071329125
+ .long 2620801789
+ .long 1024411169
+ .long 1999664384
+ .long 1071347125
+ .long 3952692616
+ .long 1024168086
+ .long 1617668864
+ .long 1071365160
+ .long 3019889809
+ .long 1021907692
+ .long 1032074240
+ .long 1071383231
+ .long 59469899
+ .long 1023656194
+ .long 2619492096
+ .long 1071401338
+ .long 1417526820
+ .long 1021457783
+ .long 202429440
+ .long 1071419483
+ .long 2927667935
+ .long 1019175447
+ .long 525044224
+ .long 1071437665
+ .long 38166811
+ .long 1023981879
+ .long 1779258880
+ .long 1071455885
+ .long 481252500
+ .long 1023310234
+ .long 2195673600
+ .long 1071474144
+ .long 3962395981
+ .long 1021339088
+ .long 44573696
+ .long 1071492443
+ .long 3936281395
+ .long 1023014829
+ .long 2226905344
+ .long 1071510781
+ .long 1515320476
+ .long 1024320623
+ .long 2800512512
+ .long 1071529160
+ .long 1225403697
+ .long 1021081846
+ .long 161113600
+ .long 1071547581
+ .long 3064809733
+ .long 1024173917
+ .long 1338410240
+ .long 1071566043
+ .long 2027604973
+ .long 1024362526
+ .long 522433280
+ .long 1071584548
+ .long 2055171723
+ .long 1023858825
+ .long 539595776
+ .long 1071603096
+ .long 3868820135
+ .long 1022936424
+ .long 4264017664
+ .long 1071621687
+ .long 3228065145
+ .long 1023479578
+ .long 1733924096
+ .long 1071640324
+ .long 3511934475
+ .long 1022496355
+ .long 108880384
+ .long 1071651839
+ .long 615880967
+ .long 1023519706
+ .long 3517856512
+ .long 1071661202
+ .long 3113108559
+ .long 1025190289
+ .long 4043153152
+ .long 1071670589
+ .long 1571836218
+ .long 1023106116
+ .long 3251299072
+ .long 1071680000
+ .long 3444076102
+ .long 1022187841
+ .long 2736921600
+ .long 1071689435
+ .long 272771483
+ .long 1025095280
+ .long 3897698560
+ .long 1071703633
+ .long 2075390188
+ .long 1022489022
+ .long 3209485056
+ .long 1071722652
+ .long 1438094065
+ .long 1021844944
+ .long 3781432064
+ .long 1071741774
+ .long 1675017145
+ .long 1024143828
+ .long 2684184064
+ .long 1071761003
+ .long 2259963753
+ .long 1024731393
+ .long 1840489728
+ .long 1071780342
+ .long 3372883597
+ .long 1023431408
+ .long 3764087808
+ .long 1071799794
+ .long 3307523102
+ .long 1024485788
+ .long 3006232320
+ .long 1071819364
+ .long 3088971966
+ .long 1025213251
+ .long 3374881280
+ .long 1071839055
+ .long 834437749
+ .long 1025236452
+ .long 797284864
+ .long 1071858872
+ .long 3122663941
+ .long 1025320473
+ .long 545765120
+ .long 1071878818
+ .long 826539625
+ .long 1022450955
+ .long 107562240
+ .long 1071898898
+ .long 339584600
+ .long 1022481255
+ .long 2123649024
+ .long 1071919116
+ .long 3912959833
+ .long 1024321009
+ .long 1562385664
+ .long 1071939478
+ .long 2846067230
+ .long 1023343981
+ .long 2963085824
+ .long 1071959988
+ .long 954548627
+ .long 1021475211
+ .long 3325550592
+ .long 1071980652
+ .long 3459651155
+ .long 1025305573
+ .long 775752448
+ .long 1072001476
+ .long 3582746667
+ .long 1023859460
+ .long 3238590720
+ .long 1072022464
+ .long 634636162
+ .long 1024472353
+ .long 2758801920
+ .long 1072043624
+ .long 3078216319
+ .long 1025304516
+ .long 1370319104
+ .long 1072064962
+ .long 2570569078
+ .long 1025099442
+ .long 2615805184
+ .long 1072086484
+ .long 3729933412
+ .long 1024605112
+ .long 3077336576
+ .long 1072108198
+ .long 1948916066
+ .long 1024781603
+ .long 1099528192
+ .long 1072130112
+ .long 3139143157
+ .long 1023729360
+ .long 1231903232
+ .long 1072152233
+ .long 1349513477
+ .long 1024737515
+ .long 1507504128
+ .long 1072174570
+ .long 3484516322
+ .long 1024000959
+ .long 2214659840
+ .long 1072197132
+ .long 2563820917
+ .long 1025225535
+ .long 1804739840
+ .long 1072219929
+ .long 760038746
+ .long 1024482855
+ .long 1413746688
+ .long 1072242971
+ .long 3401734714
+ .long 1025129838
+ .long 821409536
+ .long 1072266269
+ .long 3729772551
+ .long 1025484796
+ .long 3031825664
+ .long 1072289834
+ .long 122256749
+ .long 1024752594
+ .long 1710784256
+ .long 1072313680
+ .long 1518205483
+ .long 1024724809
+ .long 3025265152
+ .long 1072337819
+ .long 409951989
+ .long 1022835555
+ .long 287769088
+ .long 1072362267
+ .long 800355594
+ .long 1022484850
+ .long 198179840
+ .long 1072387038
+ .long 3502926213
+ .long 1024209373
+ .long 1909130496
+ .long 1072412149
+ .long 3064694319
+ .long 1025380823
+ .long 1941732096
+ .long 1072437619
+ .long 4112930390
+ .long 1024294679
+ .long 3492010496
+ .long 1072463467
+ .long 2684918107
+ .long 1023220233
+ .long 81959680
+ .long 1072489716
+ .long 220021366
+ .long 1020635131
+ .long 2297837056
+ .long 1072516387
+ .long 4027683826
+ .long 1021041185
+ .long 270404096
+ .long 1072543508
+ .long 2012766065
+ .long 1021780753
+ .long 3667376896
+ .long 1072571105
+ .long 2727981522
+ .long 1023009874
+ .long 330400256
+ .long 1072599212
+ .long 2940017003
+ .long 1025393439
+ .long 1119293952
+ .long 1072627861
+ .long 1608550416
+ .long 1022675612
+ .long 3536155904
+ .long 1072657091
+ .long 349665778
+ .long 1025156751
+ .long 3078046720
+ .long 1072686946
+ .long 2016159996
+ .long 1022193169
+ .long 455228416
+ .long 1072705361
+ .long 1908539328
+ .long 1026126332
+ .long 1871505664
+ .long 1072720988
+ .long 2784700894
+ .long 1025922277
+ .long 1630994432
+ .long 1072737010
+ .long 361107678
+ .long 1022887244
+ .long 2084558336
+ .long 1072753462
+ .type Tbl_addr,@object
+ .size Tbl_addr,3840
+ .space 768, 0x00 # pad
+ .align 16
+SIGNMASK:
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .type SIGNMASK,@object
+ .size SIGNMASK,16
+ .align 16
+HALFMASK2:
+ .long 0
+ .long 2147483584
+ .long 0
+ .long 0
+ .type HALFMASK2,@object
+ .size HALFMASK2,16
+ .align 16
+PI_BY_2:
+ .long 856972295
+ .long 1016178214
+ .long 1413754136
+ .long 1073291771
+ .type PI_BY_2,@object
+ .size PI_BY_2,16
+ .align 16
+cv2:
+ .long 780903145
+ .long 1066854586
+ .long 858993459
+ .long 1068708659
+ .long 3340530119
+ .long 1067392113
+ .long 1431655765
+ .long 1069897045
+ .long 1321528399
+ .long 1066517740
+ .long 3067833783
+ .long 1067899757
+ .long 2021159460
+ .long 1065855096
+ .long 2576980378
+ .long 1066178969
+ .type cv2,@object
+ .size cv2,64
+ .align 16
+HALFMASK:
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .type HALFMASK,@object
+ .size HALFMASK,16
+ .align 4
+ONEMASK:
+ .long 0
+ .long 1072693248
+ .type ONEMASK,@object
+ .size ONEMASK,8
+ .align 4
+TMASK:
+ .long 0
+ .long 4294950912
+ .type TMASK,@object
+ .size TMASK,8
+ .align 4
+cv:
+ .long 1431655765
+ .long 1069897045
+ .long 858993459
+ .long 1068708659
+ .long 3067833783
+ .long 1067899757
+ .type cv,@object
+ .size cv,24
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_asin.1-.
+ .4byte ..___tag_value_asin.5-..___tag_value_asin.1
+ .2byte 0x0400
+ .4byte ..___tag_value_asin.3-..___tag_value_asin.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_asin.4-..___tag_value_asin.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_atan2.S b/libm/x86_64/e_atan2.S
new file mode 100644
index 0000000..f9baea9
--- /dev/null
+++ b/libm/x86_64/e_atan2.S
@@ -0,0 +1,1242 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+//
+//1. The method is based on the relationship of atan2(Y,X) to atan(|Y/X|)
+// as follows.
+// / sign(Y) atan(|Y/X|) if X > 0
+// atan2(Y,X) =
+// \ sign(Y)*pi - sign(Y)*atan(|Y/X|) if X < 0
+//
+// Thus, atan2(Y,X) is of the form atan2(Y,X) = PI + sgn*atan(|Y/X|)
+// where PI and sgn can be determined by the four possible combinations of
+// of the pair (sign(X),sign(Y)). We concentrate on the numerical method
+// for atan(|Y/X|).
+//
+//2. For |Y/X| < 2^(-64), atan(|Y/X|) ~=~ |Y/X|. Hence, atan2(Y,X) is Y/X
+// if X > 0, and sign(Y)*pi otherwise.
+//3. For |Y/X| >= 2^(65), atan(|Y/X|) ~=~ pi/2. Hence atan2(Y,X) is sign(Y)pi/2.
+//4. For 2^(-64) <= |Y/X| < 2^(-5), atan(|Y/X|) is approximated by a polynomial
+// of the form Z + Z*E*polynomial(E), where Z = |Y/X| and E = Z*Z.
+//5. For |Y/X| > 2^(5), atan(|Y/X|) = pi/2 + atan(-|X/Y|), and atan(-|X/Y|) is
+// calculated using the polynomial in 4 above.
+//6. For 2^(-5) <= |Y/X| <= 2^(5), we employ a table lookup method. First,
+// we obtain B = 2^k * 1.b1 b2 b3 b4 = 2^k * (1+k/16) that approximate
+// |Y/X| to approximately 5 significant bits. Hence, atan(|Y/X|) is
+//
+// atan(|Y/X|) = atan(B) + atan(Z), where Z = (|Y|-B|X|)/(|X|+B|Y|).
+// ~=~ tau + Z + Z*E*polynomial(E), where E = Z*Z.
+//
+// B has the range from 2^(-6)*(1+14/16) to 2^5 = 2^(5)*(1+0/16), totally
+// 163 possible values. These values are calculated beforehand and stored
+// in a table. The polynomial is the one used in 4.
+//
+// Special cases:
+// atan2(+-0, +0) = +-0
+// atan2(+-0, -0) = +-pi
+// atan2(+-0, x) = +-0, for x > 0, and +-pi, for x < 0
+// atan2(y, +-0) = +pi/2 for y > 0, and -pi/2 for y < 0
+// atan2(+-y, +INF) = +-0, for finite y > 0
+// atan2(+-y, -INF) = +-pi, for finite y > 0
+// atan2(+-INF, x) = +-pi/2, for finite x
+// atan2(+-INF, +INF) = +-pi/4
+// atan2(+-INF, -INF) = +-3*pi/4
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin atan2
+ENTRY(atan2)
+# parameter 1: %xmm0
+# parameter 2: %xmm1
+..B1.1:
+..___tag_value_atan2.1:
+ subq $24, %rsp
+..___tag_value_atan2.3:
+ movsd %xmm0, (%rsp)
+ movsd %xmm1, 8(%rsp)
+..B1.2:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ subl $14448, %eax
+ cmpl $3840, %eax
+ ja .L_2TAG_PACKET_0.0.2
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ subl $14448, %eax
+ cmpl $3840, %eax
+ ja .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ unpcklpd %xmm1, %xmm0
+ xorpd %xmm5, %xmm5
+ xorpd %xmm3, %xmm3
+ movl $2048, %eax
+ pinsrw $3, %eax, %xmm5
+ paddw %xmm1, %xmm5
+ psrlq $29, %xmm5
+ rcpss %xmm5, %xmm3
+ xorpd %xmm4, %xmm4
+ movl $14336, %ecx
+ pinsrw $3, %ecx, %xmm4
+ psllq $29, %xmm3
+ paddw %xmm4, %xmm3
+ mulsd %xmm0, %xmm3
+ xorpd %xmm2, %xmm2
+ xorpd %xmm6, %xmm6
+ xorpd %xmm7, %xmm7
+ movl $32768, %eax
+ pinsrw $2, %eax, %xmm6
+ movl $32767, %ecx
+ pinsrw $3, %ecx, %xmm7
+ paddd %xmm6, %xmm3
+ andpd %xmm7, %xmm3
+ movq %xmm3, %xmm5
+ pextrw $3, %xmm3, %eax
+ movl $16448, %ecx
+ pinsrw $3, %ecx, %xmm2
+ minsd %xmm2, %xmm3
+ movmskpd %xmm0, %edx
+ psllq $1, %xmm0
+ psrlq $1, %xmm0
+ cmpsd $2, %xmm2, %xmm5
+ psllq $1, %xmm1
+ psrlq $1, %xmm1
+ movq %xmm1, %xmm6
+ movq %xmm1, %xmm7
+ movq %xmm0, %xmm2
+ movl $0, %ecx
+ pinsrw $0, %ecx, %xmm6
+ subsd %xmm6, %xmm7
+ movq %xmm0, %xmm4
+ mulsd %xmm3, %xmm6
+ mulsd %xmm3, %xmm4
+ mulsd %xmm3, %xmm7
+ andpd %xmm5, %xmm0
+ subsd %xmm6, %xmm0
+ andpd %xmm5, %xmm1
+ addsd %xmm1, %xmm4
+ subsd %xmm7, %xmm0
+ andl $32752, %eax
+ subl $16286, %eax
+ cmpl $1121, %eax
+ ja .L_2TAG_PACKET_3.0.2
+ divsd %xmm4, %xmm0
+ pextrw $3, %xmm3, %ecx
+ movsd a2(%rip), %xmm2
+ movsd b2(%rip), %xmm3
+ pextrw $0, %xmm5, %eax
+ addl %edx, %edx
+ lea P_TBL(%rip), %r8
+ movapd (%r8,%rdx,8), %xmm6
+ lea SGN_TBL(%rip), %r8
+ movapd (%r8,%rdx,8), %xmm1
+ subl $16286, %ecx
+ notl %eax
+ andl $1, %eax
+ addl %eax, %ecx
+ addl %ecx, %ecx
+ lea ATAN_TBL(%rip), %r8
+ movapd (%r8,%rcx,8), %xmm5
+ xorpd %xmm1, %xmm5
+ addpd %xmm6, %xmm5
+ movq %xmm5, %xmm6
+ unpckhpd %xmm5, %xmm5
+ xorpd %xmm0, %xmm1
+ movq %xmm1, %xmm4
+ mulsd %xmm0, %xmm0
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm3
+ addsd %xmm6, %xmm1
+ subsd %xmm1, %xmm6
+ addsd %xmm4, %xmm6
+ addsd 8+a2(%rip), %xmm2
+ mulsd %xmm0, %xmm3
+ mulsd %xmm4, %xmm0
+ addsd %xmm5, %xmm6
+ mulsd %xmm2, %xmm0
+ addsd 8+b2(%rip), %xmm3
+ mulsd %xmm3, %xmm0
+ addsd %xmm6, %xmm0
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_3.0.2:
+ addl $942, %eax
+ cmpl $942, %eax
+ ja .L_2TAG_PACKET_4.0.2
+ xorpd %xmm4, %xmm4
+ movl $16368, %ecx
+ pinsrw $3, %ecx, %xmm4
+ divsd %xmm1, %xmm4
+ addl %edx, %edx
+ lea SGN_TBL(%rip), %r8
+ movapd (%r8,%rdx,8), %xmm6
+ unpcklpd %xmm3, %xmm3
+ xorpd %xmm6, %xmm0
+ xorpd %xmm6, %xmm2
+ xorpd %xmm6, %xmm3
+ lea P_TBL2(%rip), %r8
+ movapd (%r8,%rdx,8), %xmm7
+ movsd a2(%rip), %xmm1
+ movsd b2(%rip), %xmm5
+ lea SELECT_B(%rip), %r8
+ andpd (%r8,%rdx,8), %xmm3
+ mulsd %xmm4, %xmm2
+ mulsd %xmm4, %xmm0
+ movq %xmm2, %xmm6
+ mulsd %xmm2, %xmm2
+ mulsd %xmm2, %xmm1
+ addsd %xmm2, %xmm5
+ mulsd %xmm2, %xmm6
+ addsd 8+a2(%rip), %xmm1
+ mulsd %xmm2, %xmm5
+ addsd %xmm0, %xmm7
+ addpd %xmm3, %xmm7
+ mulsd %xmm6, %xmm1
+ addsd 8+b2(%rip), %xmm5
+ mulsd %xmm1, %xmm5
+ addsd %xmm7, %xmm5
+ pshufd $238, %xmm7, %xmm0
+ addsd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ movsd 8(%rsp), %xmm1
+ movsd (%rsp), %xmm0
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl %eax, %ecx
+ jg .L_2TAG_PACKET_5.0.2
+ pextrw $3, %xmm1, %ecx
+ cmpl $32767, %ecx
+ jg .L_2TAG_PACKET_6.0.2
+ divsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ andpd SGNMASK(%rip), %xmm0
+ movsd pi_table(%rip), %xmm2
+ xorpd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_5.0.2:
+ andpd SGNMASK(%rip), %xmm0
+ movsd pi2_table(%rip), %xmm2
+ xorpd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+.L_2TAG_PACKET_1.0.2:
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_7.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_8.0.2
+ movsd POW55(%rip), %xmm3
+ movl $1024, %edx
+ movsd INVEXPMASK(%rip), %xmm4
+ xorpd %xmm6, %xmm6
+ movsd EXPMASK(%rip), %xmm7
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_10.0.2:
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_11.0.2
+.L_2TAG_PACKET_12.0.2:
+ addl %ecx, %edx
+ subl %eax, %edx
+ cmpl $2048, %edx
+ ja .L_2TAG_PACKET_4.0.2
+ addl $15344, %edx
+ pinsrw $3, %edx, %xmm6
+ andpd %xmm4, %xmm0
+ andpd %xmm4, %xmm1
+ orpd %xmm6, %xmm0
+ orpd %xmm7, %xmm1
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_9.0.2:
+ subl $880, %edx
+ mulsd %xmm3, %xmm0
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_13.0.2
+ jmp .L_2TAG_PACKET_10.0.2
+.L_2TAG_PACKET_11.0.2:
+ addl $880, %edx
+ mulsd %xmm3, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_14.0.2
+ jmp .L_2TAG_PACKET_12.0.2
+.L_2TAG_PACKET_7.0.2:
+ movd %xmm0, %edx
+ movq %xmm0, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ andl $1048575, %ecx
+ orl %edx, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_15.0.2
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ cmpl $32752, %eax
+ jae .L_2TAG_PACKET_16.0.2
+ movapd pi2_table(%rip), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_15.0.2:
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_16.0.2:
+ movd %xmm1, %eax
+ movq %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ movl $-2147483648, %edx
+ andl %ecx, %edx
+ andl $1048575, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_17.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_18.0.2
+ movapd pi4_table(%rip), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_17.0.2:
+ movq %xmm1, %xmm0
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_18.0.2:
+ movapd pi4_table(%rip), %xmm5
+ movapd pi2_table(%rip), %xmm6
+ addpd %xmm6, %xmm5
+ pshufd $238, %xmm5, %xmm6
+ addpd %xmm6, %xmm5
+ orpd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_8.0.2:
+ movd %xmm1, %eax
+ movq %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ movl $-2147483648, %edx
+ andl %ecx, %edx
+ andl $1048575, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ jne .L_2TAG_PACKET_17.0.2
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_19.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_19.0.2:
+ movapd pi_table(%rip), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_13.0.2:
+ pextrw $3, %xmm1, %edx
+ andl $32768, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_20.0.2
+ movapd pi_table(%rip), %xmm5
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ comisd %xmm0, %xmm1
+ orpd %xmm5, %xmm0
+ je .L_2TAG_PACKET_21.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_20.0.2:
+ comisd %xmm0, %xmm1
+ je .L_2TAG_PACKET_21.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_14.0.2:
+ movapd pi2_table(%rip), %xmm5
+ psrlq $63, %xmm0
+ psllq $63, %xmm0
+ pshufd $238, %xmm5, %xmm4
+ addsd %xmm4, %xmm5
+ orpd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_21.0.2:
+ movq %xmm0, 16(%rsp)
+..B1.3:
+ movq 16(%rsp), %xmm0
+.L_2TAG_PACKET_22.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_atan2.4:
+ ret
+..___tag_value_atan2.5:
+END(atan2)
+# -- End atan2
+ .section .rodata, "a"
+ .align 16
+ .align 16
+a2:
+ .long 2006262985
+ .long 1069310863
+ .long 2358449471
+ .long 3217342131
+ .type a2,@object
+ .size a2,16
+ .align 16
+b2:
+ .long 3845454352
+ .long 1069952297
+ .long 2829679149
+ .long 1073771565
+ .type b2,@object
+ .size b2,16
+ .align 16
+P_TBL:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 3221823995
+ .long 856972295
+ .long 3164710438
+ .type P_TBL,@object
+ .size P_TBL,64
+ .align 16
+SGN_TBL:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .type SGN_TBL,@object
+ .size SGN_TBL,64
+ .align 16
+ATAN_TBL:
+ .long 3390881280
+ .long 1067318733
+ .long 1411116779
+ .long 1018950063
+ .long 2985987840
+ .long 1067384211
+ .long 2088903695
+ .long 1018086027
+ .long 3148445184
+ .long 1067449685
+ .long 2044163806
+ .long 1017271335
+ .long 3667629184
+ .long 1067515494
+ .long 2353092775
+ .long 1019967309
+ .long 1546568832
+ .long 1067580954
+ .long 611991315
+ .long 1017602584
+ .long 3815996800
+ .long 1067646404
+ .long 466038598
+ .long 1019686426
+ .long 4050241920
+ .long 1067711845
+ .long 3265026328
+ .long 1019626952
+ .long 120454912
+ .long 1067777277
+ .long 1542207696
+ .long 1020155608
+ .long 2784639744
+ .long 1067842697
+ .long 3883834623
+ .long 1018602870
+ .long 1328010624
+ .long 1067908107
+ .long 1791097456
+ .long 1019053126
+ .long 2217794048
+ .long 1067973505
+ .long 551619938
+ .long 1018494194
+ .long 3333520000
+ .long 1068038891
+ .long 2390331823
+ .long 1019033022
+ .long 2557052032
+ .long 1068104265
+ .long 2423976108
+ .long 1019728674
+ .long 2067649536
+ .long 1068169626
+ .long 3757397745
+ .long 1018672362
+ .long 4047094784
+ .long 1068234973
+ .long 481613184
+ .long 1019275104
+ .long 2089853184
+ .long 1068300307
+ .long 1733914374
+ .long 1020124677
+ .long 2678003840
+ .long 1068365626
+ .long 1373600282
+ .long 1013935474
+ .long 3706496128
+ .long 1068430930
+ .long 1000610902
+ .long 1019673285
+ .long 3073179008
+ .long 1068496219
+ .long 1497143008
+ .long 1019900342
+ .long 2803716736
+ .long 1068562846
+ .long 1476677416
+ .long 1019444094
+ .long 3204984128
+ .long 1068628077
+ .long 1192335905
+ .long 1018748628
+ .long 831146624
+ .long 1068693273
+ .long 2733586224
+ .long 1018823295
+ .long 243029376
+ .long 1068758431
+ .long 950106081
+ .long 1019046675
+ .long 1735561920
+ .long 1068823549
+ .long 3546440856
+ .long 1020104712
+ .long 1339217792
+ .long 1068888626
+ .long 3028812387
+ .long 1019818321
+ .long 3706342144
+ .long 1068953659
+ .long 3814564029
+ .long 1017763871
+ .long 637726976
+ .long 1069018648
+ .long 3584007699
+ .long 1017976868
+ .long 1148779264
+ .long 1069083589
+ .long 2282532133
+ .long 1019483954
+ .long 1406131392
+ .long 1069148481
+ .long 1547359113
+ .long 1019786342
+ .long 1908875904
+ .long 1069213322
+ .long 1315508410
+ .long 1020009473
+ .long 3194947520
+ .long 1069278110
+ .long 3845393201
+ .long 1015803761
+ .long 1547487744
+ .long 1069342844
+ .long 3863107865
+ .long 1019810104
+ .long 1881061952
+ .long 1069407521
+ .long 4288343548
+ .long 1019687581
+ .long 563086336
+ .long 1069472140
+ .long 2582230241
+ .long 1020099350
+ .long 2594975552
+ .long 1069536698
+ .long 2306443764
+ .long 1019667244
+ .long 3438545024
+ .long 1069606573
+ .long 957455549
+ .long 1015587735
+ .long 4211357472
+ .long 1069670906
+ .long 2611778754
+ .long 1017877214
+ .long 3002835424
+ .long 1069735101
+ .long 235580458
+ .long 1020211685
+ .long 3905315424
+ .long 1069799150
+ .long 3630647617
+ .long 1018736849
+ .long 2849656576
+ .long 1069863047
+ .long 2412165062
+ .long 1019693004
+ .long 507429472
+ .long 1069926785
+ .long 1397750723
+ .long 1018412717
+ .long 2307470272
+ .long 1069990356
+ .long 1796470904
+ .long 1019796181
+ .long 1271814912
+ .long 1070053755
+ .long 189761565
+ .long 1016149115
+ .long 3800538144
+ .long 1070116974
+ .long 2524871582
+ .long 1018263353
+ .long 3916203552
+ .long 1070180008
+ .long 127848658
+ .long 1017672664
+ .long 457192032
+ .long 1070242851
+ .long 4020400938
+ .long 1019823010
+ .long 1385324704
+ .long 1070305495
+ .long 564511179
+ .long 1016079094
+ .long 2322869856
+ .long 1070367935
+ .long 2347103319
+ .long 1018927760
+ .long 3743438624
+ .long 1070430165
+ .long 877973862
+ .long 1019638162
+ .long 2392255552
+ .long 1070492180
+ .long 2432782267
+ .long 1018872629
+ .long 4180443328
+ .long 1070553973
+ .long 3102990015
+ .long 1020093101
+ .long 2547540832
+ .long 1070636485
+ .long 3877738253
+ .long 1017300424
+ .long 2735468912
+ .long 1070697461
+ .long 2446470256
+ .long 1019235378
+ .long 542633792
+ .long 1070757943
+ .long 583606328
+ .long 1018624131
+ .long 923265984
+ .long 1070817911
+ .long 1793926708
+ .long 1019714161
+ .long 918728448
+ .long 1070877348
+ .long 3726463586
+ .long 1019433296
+ .long 2572275008
+ .long 1070936237
+ .long 1845354238
+ .long 1019459238
+ .long 50974688
+ .long 1070994564
+ .long 983808064
+ .long 1016685418
+ .long 1105518320
+ .long 1071052313
+ .long 2357496692
+ .long 1015139882
+ .long 1264825328
+ .long 1071109472
+ .long 2244129354
+ .long 1019046344
+ .long 961157920
+ .long 1071166029
+ .long 3124185339
+ .long 1018541776
+ .long 1162701584
+ .long 1071221973
+ .long 1279780948
+ .long 1019268918
+ .long 3284935664
+ .long 1071277294
+ .long 2670033472
+ .long 1019833744
+ .long 497441888
+ .long 1071331985
+ .long 1032737410
+ .long 1019795212
+ .long 3377383904
+ .long 1071386036
+ .long 2356897182
+ .long 1020205553
+ .long 1126962000
+ .long 1071439443
+ .long 3723724586
+ .long 1015212418
+ .long 90291008
+ .long 1071492199
+ .long 4178672431
+ .long 1020186971
+ .long 190059536
+ .long 1071595741
+ .long 1763589807
+ .long 1019162163
+ .long 2497392840
+ .long 1071670654
+ .long 3036997041
+ .long 1020204325
+ .long 2616971944
+ .long 1071719773
+ .long 300151069
+ .long 1017041957
+ .long 2883518128
+ .long 1071767563
+ .long 2203981414
+ .long 1019190108
+ .long 1496354352
+ .long 1071814030
+ .long 332287966
+ .long 1016846435
+ .long 483276728
+ .long 1071859184
+ .long 653845024
+ .long 1018830914
+ .long 3097401072
+ .long 1071903039
+ .long 1514746408
+ .long 1019278972
+ .long 2737217248
+ .long 1071945615
+ .long 1358845067
+ .long 1017268275
+ .long 2072577560
+ .long 1071986933
+ .long 3041024735
+ .long 1019929672
+ .long 2266405656
+ .long 1072027017
+ .long 1271261130
+ .long 1012925070
+ .long 958652544
+ .long 1072065894
+ .long 2158017058
+ .long 1019955372
+ .long 3312993840
+ .long 1072103591
+ .long 765809169
+ .long 1019114443
+ .long 3177001304
+ .long 1072140139
+ .long 144180084
+ .long 1019822186
+ .long 3071642184
+ .long 1072175568
+ .long 4004602424
+ .long 1019420740
+ .long 4283953648
+ .long 1072209909
+ .long 1511950430
+ .long 1020176966
+ .long 1413754136
+ .long 1072243195
+ .long 856972295
+ .long 1015129638
+ .long 4073202944
+ .long 1072306725
+ .long 4068194804
+ .long 1019714860
+ .long 946117760
+ .long 1072366415
+ .long 694980733
+ .long 1020150135
+ .long 3980632032
+ .long 1072422512
+ .long 1313251280
+ .long 1019948709
+ .long 1468297112
+ .long 1072475260
+ .long 330111143
+ .long 1019809198
+ .long 3478063816
+ .long 1072524887
+ .long 2930067044
+ .long 1017784081
+ .long 1153979856
+ .long 1072571613
+ .long 2225786102
+ .long 1017634481
+ .long 2089828808
+ .long 1072615641
+ .long 474621367
+ .long 1017043414
+ .long 3531732632
+ .long 1072657163
+ .long 2276396220
+ .long 1018757240
+ .long 775214612
+ .long 1072694803
+ .long 3209744818
+ .long 1019963015
+ .long 662307284
+ .long 1072713319
+ .long 1381696763
+ .long 1019763781
+ .long 1192776652
+ .long 1072730830
+ .long 3017932994
+ .long 1015179769
+ .long 744202396
+ .long 1072747407
+ .long 2073854034
+ .long 1019512292
+ .long 8337908
+ .long 1072763115
+ .long 16004448
+ .long 1019599514
+ .long 3589868768
+ .long 1072778013
+ .long 1374369804
+ .long 1018019237
+ .long 121647320
+ .long 1072792159
+ .long 128481634
+ .long 1018115438
+ .long 2464923204
+ .long 1072805601
+ .long 1787331214
+ .long 1016798022
+ .long 4093304372
+ .long 1072830562
+ .long 3306868969
+ .long 1019384078
+ .long 1436891684
+ .long 1072853231
+ .long 676347266
+ .long 1017302183
+ .long 1104571840
+ .long 1072873890
+ .long 2870400285
+ .long 1019938149
+ .long 2037009832
+ .long 1072892781
+ .long 2956702105
+ .long 1016472908
+ .long 3139037960
+ .long 1072910111
+ .long 916057147
+ .long 1018364335
+ .long 1826698064
+ .long 1072926058
+ .long 2171961098
+ .long 1019669816
+ .long 1353941060
+ .long 1072940774
+ .long 1722928782
+ .long 1019926215
+ .long 1803191644
+ .long 1072954391
+ .long 1547878639
+ .long 1020259262
+ .long 1092591296
+ .long 1072967024
+ .long 3070107923
+ .long 1018320401
+ .long 2205372832
+ .long 1072978772
+ .long 787328196
+ .long 1014621351
+ .long 1291577100
+ .long 1072989723
+ .long 2964757301
+ .long 1020242528
+ .long 4234512804
+ .long 1072999952
+ .long 3136030038
+ .long 1017522144
+ .long 3248069132
+ .long 1073009528
+ .long 1506192355
+ .long 1018050472
+ .long 3932628500
+ .long 1073018509
+ .long 1045823554
+ .long 1019946655
+ .long 4195697848
+ .long 1073026948
+ .long 233443322
+ .long 1018917447
+ .long 2501811452
+ .long 1073034892
+ .long 901427976
+ .long 1017333852
+ .long 866379428
+ .long 1073049455
+ .long 2437443742
+ .long 1019678792
+ .long 1376865888
+ .long 1073062480
+ .long 3365790232
+ .long 1014547152
+ .long 3290094268
+ .long 1073074195
+ .long 3898947415
+ .long 1018683566
+ .long 354764884
+ .long 1073084787
+ .long 3854322404
+ .long 1019662058
+ .long 3332975496
+ .long 1073094406
+ .long 3171701655
+ .long 1017830922
+ .long 1141460088
+ .long 1073103181
+ .long 3946082701
+ .long 1020032019
+ .long 745761284
+ .long 1073111216
+ .long 1347210591
+ .long 1019106121
+ .long 1673304508
+ .long 1073118600
+ .long 1760606642
+ .long 1017324577
+ .long 983388240
+ .long 1073125409
+ .long 3740651204
+ .long 1019514104
+ .long 3895509100
+ .long 1073131706
+ .long 2409629983
+ .long 1020069322
+ .long 2128523668
+ .long 1073137548
+ .long 3045605368
+ .long 1018579174
+ .long 2075485692
+ .long 1073142981
+ .long 3720571789
+ .long 1017557436
+ .long 121855976
+ .long 1073148047
+ .long 2391744767
+ .long 1020160645
+ .long 4181733780
+ .long 1073152780
+ .long 995028816
+ .long 1019681295
+ .long 2887813280
+ .long 1073157214
+ .long 218733247
+ .long 1020003509
+ .long 2862180896
+ .long 1073161375
+ .long 2043806490
+ .long 1018602288
+ .long 3909375184
+ .long 1073168973
+ .long 1559903412
+ .long 1020103444
+ .long 3533966292
+ .long 1073175738
+ .long 734884149
+ .long 1018462962
+ .long 3815044608
+ .long 1073181799
+ .long 3630523428
+ .long 1017250093
+ .long 739639376
+ .long 1073187261
+ .long 4167476661
+ .long 1020008277
+ .long 1068309648
+ .long 1073192207
+ .long 2110061437
+ .long 1019295858
+ .long 2350566352
+ .long 1073196707
+ .long 582596516
+ .long 1018568821
+ .long 2529520024
+ .long 1073200819
+ .long 745552787
+ .long 1019053165
+ .long 1841667508
+ .long 1073204591
+ .long 3982568700
+ .long 1016503327
+ .long 2242261080
+ .long 1073208063
+ .long 3433582258
+ .long 1016196763
+ .long 715134328
+ .long 1073211270
+ .long 355901358
+ .long 1020087916
+ .long 2700735876
+ .long 1073214240
+ .long 3640957736
+ .long 1019780205
+ .long 141607580
+ .long 1073217000
+ .long 2488245051
+ .long 1020262395
+ .long 287934404
+ .long 1073219570
+ .long 2392691085
+ .long 1019883292
+ .long 2363373988
+ .long 1073221969
+ .long 4194561737
+ .long 1019237447
+ .long 3829340424
+ .long 1073224214
+ .long 429455526
+ .long 1019490975
+ .long 1988805928
+ .long 1073226320
+ .long 3029848706
+ .long 1018104889
+ .long 1647572320
+ .long 1073230161
+ .long 10289938
+ .long 1017394880
+ .long 3988000624
+ .long 1073233576
+ .long 1957559169
+ .long 1019434816
+ .long 4263843944
+ .long 1073236633
+ .long 204710264
+ .long 1019908761
+ .long 663197724
+ .long 1073239386
+ .long 1921757578
+ .long 1019778948
+ .long 3560800700
+ .long 1073241876
+ .long 3994348896
+ .long 1019230192
+ .long 2441785656
+ .long 1073244141
+ .long 871468611
+ .long 1014800505
+ .long 3277400272
+ .long 1073246209
+ .long 4092218139
+ .long 1020040842
+ .long 3951990120
+ .long 1073248105
+ .long 4276546478
+ .long 1019763677
+ .long 2737338540
+ .long 1073249850
+ .long 252776012
+ .long 1018794951
+ .long 1511361316
+ .long 1073251461
+ .long 3119653999
+ .long 1018514803
+ .long 3969162516
+ .long 1073252952
+ .long 1037069016
+ .long 1016792900
+ .long 413985240
+ .long 1073254338
+ .long 4110171432
+ .long 1020001345
+ .long 3681283576
+ .long 1073255627
+ .long 1463092818
+ .long 1020260354
+ .long 3146455488
+ .long 1073256831
+ .long 1031209123
+ .long 1016554799
+ .long 95214512
+ .long 1073257958
+ .long 1373808632
+ .long 1019493031
+ .long 4250240828
+ .long 1073259013
+ .long 3891047882
+ .long 1020108730
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .type ATAN_TBL,@object
+ .size ATAN_TBL,2624
+ .align 16
+P_TBL2:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 856972295
+ .long 1017226790
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 3164710438
+ .long 1413754136
+ .long 3221823995
+ .type P_TBL2,@object
+ .size P_TBL2,64
+ .align 16
+SELECT_B:
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .long 4294967295
+ .long 4294967295
+ .long 0
+ .long 0
+ .type SELECT_B,@object
+ .size SELECT_B,64
+ .align 16
+SGNMASK:
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .type SGNMASK,@object
+ .size SGNMASK,16
+ .align 16
+pi_table:
+ .long 1413754136
+ .long 1074340347
+ .long 856972295
+ .long 1017226790
+ .type pi_table,@object
+ .size pi_table,16
+ .align 16
+pi2_table:
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .type pi2_table,@object
+ .size pi2_table,16
+ .align 16
+pi4_table:
+ .long 1413754136
+ .long 1072243195
+ .long 856972295
+ .long 1015129638
+ .type pi4_table,@object
+ .size pi4_table,16
+ .align 4
+POW55:
+ .long 0
+ .long 1130364928
+ .type POW55,@object
+ .size POW55,8
+ .align 4
+INVEXPMASK:
+ .long 4294967295
+ .long 2148532223
+ .type INVEXPMASK,@object
+ .size INVEXPMASK,8
+ .align 4
+EXPMASK:
+ .long 0
+ .long 1072693248
+ .type EXPMASK,@object
+ .size EXPMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_atan2.1-.
+ .4byte ..___tag_value_atan2.5-..___tag_value_atan2.1
+ .2byte 0x0400
+ .4byte ..___tag_value_atan2.3-..___tag_value_atan2.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_atan2.4-..___tag_value_atan2.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_cosh.S b/libm/x86_64/e_cosh.S
new file mode 100644
index 0000000..8cdbca6
--- /dev/null
+++ b/libm/x86_64/e_cosh.S
@@ -0,0 +1,1372 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// cosh(x)=(exp(x)+exp(-x))/2
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7),
+// f=0.b1 b2 ... b7, k integer
+// 2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f]
+// Tp stores higher 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision
+//
+// e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14},
+// for |x| in [1/8,3*2^8)
+// e^{-|x|}=2^{-k-f}*2^{-r}
+//
+// e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp=
+// =2^k*Tp+2^k*Tp*P15+2^k*Dp
+// e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4)
+//
+// For |x| in [1/8, 3*2^7), cosh(x) is formed as
+// RN(2^k*Tp+2^{-k}*Tn)+2^k*Tp*P15+2^{-k}*Tn*P`15+2^{-k}*TnL+2^{-k}*Dn+2^k*Dp
+//
+// For |x| in [3*2^7, 3*2^8), (e^|x|)/2 is returned, and
+// the result is checked for overflow.
+//
+// For |x|<1/8, a Taylor polynomial expansion is used (degree 10)
+// (error bound for polynomial expansion is below 0.501 ulp)
+//
+// Special cases:
+// cosh(NaN) = quiet NaN, and raise invalid exception
+// cosh(INF) = that INF
+// cosh(0)=1
+// for finite argument, only cosh(0)=1 is exact
+// For IEEE double
+// cosh(x) overflows
+// for x > 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+
+# -- Begin cosh
+ENTRY(cosh)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_cosh.1:
+ pushq %rsi
+..___tag_value_cosh.3:
+..B1.2:
+ movsd HALFMASK(%rip), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd L2E(%rip), %xmm1
+ movsd 8+L2E(%rip), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd Shifter(%rip), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ andl $32767, %ecx
+ subl $16320, %ecx
+ cmpl $200, %ecx
+ jae .L_2TAG_PACKET_0.0.2
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ movq %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ xorpd %xmm5, %xmm5
+ subsd %xmm6, %xmm3
+ movapd cv(%rip), %xmm4
+ addsd %xmm1, %xmm2
+ movapd 16+cv(%rip), %xmm6
+ subsd %xmm3, %xmm7
+ movl $32704, %edx
+ pinsrw $3, %edx, %xmm5
+ movapd 32+cv(%rip), %xmm1
+ addsd %xmm7, %xmm2
+ movl $127, %edx
+ andl %eax, %edx
+ addl %edx, %edx
+ shrl $3, %eax
+ andl $65520, %eax
+ addl $16352, %eax
+ xorpd %xmm0, %xmm0
+ cmpl $184, %ecx
+ jae .L_2TAG_PACKET_1.0.2
+ pshufd $68, %xmm5, %xmm5
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ psubw %xmm0, %xmm5
+ lea T2f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm0
+ lea T2_neg_f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm5
+ pshufd $68, %xmm2, %xmm3
+ movapd 48+cv(%rip), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ mulpd %xmm3, %xmm3
+ mulpd %xmm2, %xmm4
+ mulpd %xmm2, %xmm6
+ mulpd 64+cv(%rip), %xmm2
+ mulpd %xmm3, %xmm1
+ mulpd %xmm3, %xmm7
+ mulpd %xmm3, %xmm4
+ mulpd %xmm3, %xmm1
+ addpd %xmm7, %xmm6
+ movq %xmm0, %xmm7
+ addpd %xmm1, %xmm4
+ shufpd $0, %xmm5, %xmm7
+ addpd %xmm5, %xmm0
+ mulpd %xmm7, %xmm2
+ addpd %xmm6, %xmm4
+ subsd %xmm0, %xmm7
+ mulpd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm5, %xmm7
+ addpd %xmm2, %xmm4
+ addsd %xmm6, %xmm7
+ pshufd $238, %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ addl $16320, %ecx
+ cmpl $16320, %ecx
+ ja .L_2TAG_PACKET_2.0.2
+ cmpl $15952, %ecx
+ jae .L_2TAG_PACKET_3.0.2
+ addsd %xmm2, %xmm6
+ movq ONEMASK(%rip), %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_1.0.2:
+ subl $16352, %eax
+ movl %eax, %ecx
+ andl $32752, %eax
+ shrl $1, %eax
+ andl $65520, %eax
+ subl %eax, %ecx
+ addl $16352, %eax
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ lea T2f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm0
+ pshufd $68, %xmm2, %xmm3
+ movsd 48+cv(%rip), %xmm7
+ mulsd %xmm3, %xmm3
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd 64+cv(%rip), %xmm2
+ mulsd %xmm3, %xmm1
+ mulsd %xmm3, %xmm7
+ mulsd %xmm3, %xmm4
+ addl $16368, %ecx
+ pinsrw $3, %ecx, %xmm5
+ mulsd %xmm3, %xmm1
+ addsd %xmm7, %xmm6
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ addsd %xmm6, %xmm4
+ mulsd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm6, %xmm4
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm5, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_4.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_3.0.2:
+ movapd pv(%rip), %xmm1
+ mulpd %xmm5, %xmm5
+ movapd 16+pv(%rip), %xmm2
+ xorpd %xmm3, %xmm3
+ movq %xmm5, %xmm0
+ mulpd %xmm5, %xmm1
+ movsd ONEMASK(%rip), %xmm6
+ mulpd %xmm5, %xmm5
+ movl $16352, %eax
+ pinsrw $3, %eax, %xmm3
+ addpd %xmm2, %xmm1
+ mulpd %xmm5, %xmm1
+ pshufd $238, %xmm1, %xmm2
+ mulsd %xmm1, %xmm5
+ mulsd %xmm3, %xmm0
+ addsd %xmm5, %xmm2
+ addsd %xmm2, %xmm0
+ addsd %xmm6, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_5.0.2
+ xorpd %xmm0, %xmm0
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ mulsd %xmm0, %xmm0
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ mulsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ movq %xmm0, (%rsp)
+..B1.3:
+ movq (%rsp), %xmm0
+.L_2TAG_PACKET_6.0.2:
+..B1.5:
+ popq %rcx
+..___tag_value_cosh.4:
+ ret
+..___tag_value_cosh.5:
+END(cosh)
+# -- End cosh
+ .section .rodata, "a"
+ .align 16
+ .align 16
+L2E:
+ .long 1610612736
+ .long 1080497479
+ .long 4166901572
+ .long 1053077003
+ .type L2E,@object
+ .size L2E,16
+ .align 16
+Shifter:
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .type Shifter,@object
+ .size Shifter,16
+ .align 16
+cv:
+ .long 3607404736
+ .long 1044146952
+ .long 3607404736
+ .long 3191630600
+ .long 4277811695
+ .long 1063661122
+ .long 4277811695
+ .long 3211144770
+ .long 2140175755
+ .long 1033864261
+ .long 2140175755
+ .long 1033864261
+ .long 4289495988
+ .long 1054113747
+ .long 4289495988
+ .long 1054113747
+ .long 4277811695
+ .long 1064709698
+ .long 4277811695
+ .long 3212193346
+ .type cv,@object
+ .size cv,80
+ .align 16
+T2f:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 2851812149
+ .long 1072698941
+ .long 2595802551
+ .long 1016815913
+ .long 1048019041
+ .long 1072704666
+ .long 1398474845
+ .long 3161559171
+ .long 3899555717
+ .long 1072710421
+ .long 427280750
+ .long 3163595548
+ .long 3541402996
+ .long 1072716208
+ .long 2759177317
+ .long 1015903202
+ .long 702412510
+ .long 1072722027
+ .long 3803266087
+ .long 3163328991
+ .long 410360776
+ .long 1072727877
+ .long 1269990655
+ .long 1013024446
+ .long 3402036099
+ .long 1072733758
+ .long 405889334
+ .long 1016154232
+ .long 1828292879
+ .long 1072739672
+ .long 1255956747
+ .long 1016636974
+ .long 728909815
+ .long 1072745618
+ .long 383930225
+ .long 1016078044
+ .long 852742562
+ .long 1072751596
+ .long 667253586
+ .long 1010842135
+ .long 2952712987
+ .long 1072757606
+ .long 3293494651
+ .long 3161168877
+ .long 3490863953
+ .long 1072763649
+ .long 960797498
+ .long 3163997456
+ .long 3228316108
+ .long 1072769725
+ .long 3010241991
+ .long 3159471380
+ .long 2930322912
+ .long 1072775834
+ .long 2599499422
+ .long 3163762623
+ .long 3366293073
+ .long 1072781976
+ .long 3119426314
+ .long 1015169130
+ .long 1014845819
+ .long 1072788152
+ .long 3117910646
+ .long 3162607681
+ .long 948735466
+ .long 1072794361
+ .long 3516338028
+ .long 3163623459
+ .long 3949972341
+ .long 1072800603
+ .long 2068408548
+ .long 1015962444
+ .long 2214878420
+ .long 1072806880
+ .long 892270087
+ .long 3164164998
+ .long 828946858
+ .long 1072813191
+ .long 10642492
+ .long 1016988014
+ .long 586995997
+ .long 1072819536
+ .long 41662348
+ .long 3163676568
+ .long 2288159958
+ .long 1072825915
+ .long 2169144469
+ .long 1015924597
+ .long 2440944790
+ .long 1072832329
+ .long 2492769774
+ .long 1015196030
+ .long 1853186616
+ .long 1072838778
+ .long 3066496371
+ .long 1016705150
+ .long 1337108031
+ .long 1072845262
+ .long 3203724452
+ .long 1015726421
+ .long 1709341917
+ .long 1072851781
+ .long 2571168217
+ .long 1015201075
+ .long 3790955393
+ .long 1072858335
+ .long 2352942462
+ .long 3164228666
+ .long 4112506593
+ .long 1072864925
+ .long 2947355221
+ .long 1015419624
+ .long 3504003472
+ .long 1072871551
+ .long 3594001060
+ .long 3158379228
+ .long 2799960843
+ .long 1072878213
+ .long 1423655381
+ .long 1016070727
+ .long 2839424854
+ .long 1072884911
+ .long 1171596163
+ .long 1014090255
+ .long 171030293
+ .long 1072891646
+ .long 3526460132
+ .long 1015477354
+ .long 4232894513
+ .long 1072898416
+ .long 2383938684
+ .long 1015717095
+ .long 2992903935
+ .long 1072905224
+ .long 2218154406
+ .long 1016276769
+ .long 1603444721
+ .long 1072912069
+ .long 1548633640
+ .long 3163249902
+ .long 926591435
+ .long 1072918951
+ .long 3208833762
+ .long 3163962090
+ .long 1829099622
+ .long 1072925870
+ .long 1016661181
+ .long 3164509581
+ .long 887463927
+ .long 1072932827
+ .long 3596744163
+ .long 3161842742
+ .long 3272845541
+ .long 1072939821
+ .long 928852419
+ .long 3164536824
+ .long 1276261410
+ .long 1072946854
+ .long 300981948
+ .long 1015732745
+ .long 78413852
+ .long 1072953925
+ .long 4183226867
+ .long 3164065827
+ .long 569847338
+ .long 1072961034
+ .long 472945272
+ .long 3160339305
+ .long 3645941911
+ .long 1072968181
+ .long 3814685081
+ .long 3162621917
+ .long 1617004845
+ .long 1072975368
+ .long 82804944
+ .long 1011391354
+ .long 3978100823
+ .long 1072982593
+ .long 3513027190
+ .long 1016894539
+ .long 3049340112
+ .long 1072989858
+ .long 3062915824
+ .long 1014219171
+ .long 4040676318
+ .long 1072997162
+ .long 4090609238
+ .long 1016712034
+ .long 3577096743
+ .long 1073004506
+ .long 2951496418
+ .long 1014842263
+ .long 2583551245
+ .long 1073011890
+ .long 3161094195
+ .long 1016655067
+ .long 1990012071
+ .long 1073019314
+ .long 3529070563
+ .long 3163861769
+ .long 2731501122
+ .long 1073026778
+ .long 1774031855
+ .long 3163518597
+ .long 1453150082
+ .long 1073034283
+ .long 498154669
+ .long 3162536638
+ .long 3395129871
+ .long 1073041828
+ .long 4025345435
+ .long 3163383964
+ .long 917841882
+ .long 1073049415
+ .long 18715565
+ .long 1016707884
+ .long 3566716925
+ .long 1073057042
+ .long 1536826856
+ .long 1015191009
+ .long 3712504873
+ .long 1073064711
+ .long 88491949
+ .long 1016476236
+ .long 2321106615
+ .long 1073072422
+ .long 2171176610
+ .long 1010584347
+ .long 363667784
+ .long 1073080175
+ .long 813753950
+ .long 1016833785
+ .long 3111574537
+ .long 1073087969
+ .long 2606161479
+ .long 3163808322
+ .long 2956612997
+ .long 1073095806
+ .long 2118169751
+ .long 3163784129
+ .long 885834528
+ .long 1073103686
+ .long 1973258547
+ .long 3163310140
+ .long 2186617381
+ .long 1073111608
+ .long 2270764084
+ .long 3164321289
+ .long 3561793907
+ .long 1073119573
+ .long 1157054053
+ .long 1012938926
+ .long 1719614413
+ .long 1073127582
+ .long 330458198
+ .long 3164331316
+ .long 1963711167
+ .long 1073135634
+ .long 1744767757
+ .long 3161622870
+ .long 1013258799
+ .long 1073143730
+ .long 1748797611
+ .long 3161177658
+ .long 4182873220
+ .long 1073151869
+ .long 629542646
+ .long 3163044879
+ .long 3907805044
+ .long 1073160053
+ .long 2257091225
+ .long 3162598983
+ .long 1218806132
+ .long 1073168282
+ .long 1818613052
+ .long 3163597017
+ .long 1447192521
+ .long 1073176555
+ .long 1462857171
+ .long 3163563097
+ .long 1339972927
+ .long 1073184873
+ .long 167908909
+ .long 1016620728
+ .long 1944781191
+ .long 1073193236
+ .long 3993278767
+ .long 3162772855
+ .long 19972402
+ .long 1073201645
+ .long 3507899862
+ .long 1017057868
+ .long 919555682
+ .long 1073210099
+ .long 3121969534
+ .long 1013996802
+ .long 1413356050
+ .long 1073218599
+ .long 1651349291
+ .long 3163716742
+ .long 2571947539
+ .long 1073227145
+ .long 3558159064
+ .long 3164425245
+ .long 1176749997
+ .long 1073235738
+ .long 2738998779
+ .long 3163084420
+ .long 2604962541
+ .long 1073244377
+ .long 2614425274
+ .long 3164587768
+ .long 3649726105
+ .long 1073253063
+ .long 4085036346
+ .long 1016698050
+ .long 1110089947
+ .long 1073261797
+ .long 1451641639
+ .long 1016523249
+ .long 380978316
+ .long 1073270578
+ .long 854188970
+ .long 3161511262
+ .long 2568320822
+ .long 1073279406
+ .long 2732824428
+ .long 1015401491
+ .long 194117574
+ .long 1073288283
+ .long 777528612
+ .long 3164460665
+ .long 2966275557
+ .long 1073297207
+ .long 2176155324
+ .long 3160891335
+ .long 3418903055
+ .long 1073306180
+ .long 2527457337
+ .long 3161869180
+ .long 2682146384
+ .long 1073315202
+ .long 2082178513
+ .long 3164411995
+ .long 1892288442
+ .long 1073324273
+ .long 2446255666
+ .long 3163648957
+ .long 2191782032
+ .long 1073333393
+ .long 2960257726
+ .long 1014791238
+ .long 434316067
+ .long 1073342563
+ .long 2028358766
+ .long 1014506698
+ .long 2069751141
+ .long 1073351782
+ .long 1562170675
+ .long 3163773257
+ .long 3964284211
+ .long 1073361051
+ .long 2111583915
+ .long 1016475740
+ .long 2990417245
+ .long 1073370371
+ .long 3683467745
+ .long 3164417902
+ .long 321958744
+ .long 1073379742
+ .long 3401933767
+ .long 1016843134
+ .long 1434058175
+ .long 1073389163
+ .long 251133233
+ .long 1016134345
+ .long 3218338682
+ .long 1073398635
+ .long 3404164304
+ .long 3163525684
+ .long 2572866477
+ .long 1073408159
+ .long 878562433
+ .long 1016570317
+ .long 697153126
+ .long 1073417735
+ .long 1283515429
+ .long 3164331765
+ .long 3092190715
+ .long 1073427362
+ .long 814012168
+ .long 3160571998
+ .long 2380618042
+ .long 1073437042
+ .long 3149557219
+ .long 3164369375
+ .long 4076559943
+ .long 1073446774
+ .long 2119478331
+ .long 3161806927
+ .long 815859274
+ .long 1073456560
+ .long 240396590
+ .long 3164536019
+ .long 2420883922
+ .long 1073466398
+ .long 2049810052
+ .long 1015168464
+ .long 1540824585
+ .long 1073476290
+ .long 1064017011
+ .long 3164536266
+ .long 3716502172
+ .long 1073486235
+ .long 2303740125
+ .long 1015091301
+ .long 1610600570
+ .long 1073496235
+ .long 3766732298
+ .long 1016808759
+ .long 777507147
+ .long 1073506289
+ .long 4282924205
+ .long 1016236109
+ .long 2483480501
+ .long 1073516397
+ .long 1216371780
+ .long 1014082748
+ .long 3706687593
+ .long 1073526560
+ .long 3521726940
+ .long 1014301643
+ .long 1432208378
+ .long 1073536779
+ .long 1401068914
+ .long 3163412539
+ .long 1242007932
+ .long 1073547053
+ .long 1132034716
+ .long 3164388407
+ .long 135105010
+ .long 1073557383
+ .long 1906148728
+ .long 3164424315
+ .long 3707479175
+ .long 1073567768
+ .long 3613079303
+ .long 1015213314
+ .long 382305176
+ .long 1073578211
+ .long 2347622376
+ .long 3163627201
+ .long 64696965
+ .long 1073588710
+ .long 1768797490
+ .long 1016865536
+ .long 4076975200
+ .long 1073599265
+ .long 2029000899
+ .long 1016257111
+ .long 863738719
+ .long 1073609879
+ .long 1326992220
+ .long 3163661773
+ .long 351641897
+ .long 1073620550
+ .long 2172261526
+ .long 3164059175
+ .long 3884662774
+ .long 1073631278
+ .long 2158611599
+ .long 1015258761
+ .long 4224142467
+ .long 1073642065
+ .long 3389820386
+ .long 1016255778
+ .long 2728693978
+ .long 1073652911
+ .long 396109971
+ .long 3164511267
+ .long 764307441
+ .long 1073663816
+ .long 3021057420
+ .long 3164378099
+ .long 3999357479
+ .long 1073674779
+ .long 2258941616
+ .long 1016973300
+ .long 929806999
+ .long 1073685803
+ .long 3205336643
+ .long 1016308133
+ .long 1533953344
+ .long 1073696886
+ .long 769171851
+ .long 1016714209
+ .long 2912730644
+ .long 1073708029
+ .long 3490067722
+ .long 3164453650
+ .long 2174652632
+ .long 1073719233
+ .long 4087714590
+ .long 1015498835
+ .long 730821105
+ .long 1073730498
+ .long 2523232743
+ .long 1013115764
+ .type T2f,@object
+ .size T2f,2048
+ .align 16
+T2_neg_f:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 730821105
+ .long 1072681922
+ .long 2523232743
+ .long 1012067188
+ .long 2174652632
+ .long 1072670657
+ .long 4087714590
+ .long 1014450259
+ .long 2912730644
+ .long 1072659453
+ .long 3490067722
+ .long 3163405074
+ .long 1533953344
+ .long 1072648310
+ .long 769171851
+ .long 1015665633
+ .long 929806999
+ .long 1072637227
+ .long 3205336643
+ .long 1015259557
+ .long 3999357479
+ .long 1072626203
+ .long 2258941616
+ .long 1015924724
+ .long 764307441
+ .long 1072615240
+ .long 3021057420
+ .long 3163329523
+ .long 2728693978
+ .long 1072604335
+ .long 396109971
+ .long 3163462691
+ .long 4224142467
+ .long 1072593489
+ .long 3389820386
+ .long 1015207202
+ .long 3884662774
+ .long 1072582702
+ .long 2158611599
+ .long 1014210185
+ .long 351641897
+ .long 1072571974
+ .long 2172261526
+ .long 3163010599
+ .long 863738719
+ .long 1072561303
+ .long 1326992220
+ .long 3162613197
+ .long 4076975200
+ .long 1072550689
+ .long 2029000899
+ .long 1015208535
+ .long 64696965
+ .long 1072540134
+ .long 1768797490
+ .long 1015816960
+ .long 382305176
+ .long 1072529635
+ .long 2347622376
+ .long 3162578625
+ .long 3707479175
+ .long 1072519192
+ .long 3613079303
+ .long 1014164738
+ .long 135105010
+ .long 1072508807
+ .long 1906148728
+ .long 3163375739
+ .long 1242007932
+ .long 1072498477
+ .long 1132034716
+ .long 3163339831
+ .long 1432208378
+ .long 1072488203
+ .long 1401068914
+ .long 3162363963
+ .long 3706687593
+ .long 1072477984
+ .long 3521726940
+ .long 1013253067
+ .long 2483480501
+ .long 1072467821
+ .long 1216371780
+ .long 1013034172
+ .long 777507147
+ .long 1072457713
+ .long 4282924205
+ .long 1015187533
+ .long 1610600570
+ .long 1072447659
+ .long 3766732298
+ .long 1015760183
+ .long 3716502172
+ .long 1072437659
+ .long 2303740125
+ .long 1014042725
+ .long 1540824585
+ .long 1072427714
+ .long 1064017011
+ .long 3163487690
+ .long 2420883922
+ .long 1072417822
+ .long 2049810052
+ .long 1014119888
+ .long 815859274
+ .long 1072407984
+ .long 240396590
+ .long 3163487443
+ .long 4076559943
+ .long 1072398198
+ .long 2119478331
+ .long 3160758351
+ .long 2380618042
+ .long 1072388466
+ .long 3149557219
+ .long 3163320799
+ .long 3092190715
+ .long 1072378786
+ .long 814012168
+ .long 3159523422
+ .long 697153126
+ .long 1072369159
+ .long 1283515429
+ .long 3163283189
+ .long 2572866477
+ .long 1072359583
+ .long 878562433
+ .long 1015521741
+ .long 3218338682
+ .long 1072350059
+ .long 3404164304
+ .long 3162477108
+ .long 1434058175
+ .long 1072340587
+ .long 251133233
+ .long 1015085769
+ .long 321958744
+ .long 1072331166
+ .long 3401933767
+ .long 1015794558
+ .long 2990417245
+ .long 1072321795
+ .long 3683467745
+ .long 3163369326
+ .long 3964284211
+ .long 1072312475
+ .long 2111583915
+ .long 1015427164
+ .long 2069751141
+ .long 1072303206
+ .long 1562170675
+ .long 3162724681
+ .long 434316067
+ .long 1072293987
+ .long 2028358766
+ .long 1013458122
+ .long 2191782032
+ .long 1072284817
+ .long 2960257726
+ .long 1013742662
+ .long 1892288442
+ .long 1072275697
+ .long 2446255666
+ .long 3162600381
+ .long 2682146384
+ .long 1072266626
+ .long 2082178513
+ .long 3163363419
+ .long 3418903055
+ .long 1072257604
+ .long 2527457337
+ .long 3160820604
+ .long 2966275557
+ .long 1072248631
+ .long 2176155324
+ .long 3159842759
+ .long 194117574
+ .long 1072239707
+ .long 777528612
+ .long 3163412089
+ .long 2568320822
+ .long 1072230830
+ .long 2732824428
+ .long 1014352915
+ .long 380978316
+ .long 1072222002
+ .long 854188970
+ .long 3160462686
+ .long 1110089947
+ .long 1072213221
+ .long 1451641639
+ .long 1015474673
+ .long 3649726105
+ .long 1072204487
+ .long 4085036346
+ .long 1015649474
+ .long 2604962541
+ .long 1072195801
+ .long 2614425274
+ .long 3163539192
+ .long 1176749997
+ .long 1072187162
+ .long 2738998779
+ .long 3162035844
+ .long 2571947539
+ .long 1072178569
+ .long 3558159064
+ .long 3163376669
+ .long 1413356050
+ .long 1072170023
+ .long 1651349291
+ .long 3162668166
+ .long 919555682
+ .long 1072161523
+ .long 3121969534
+ .long 1012948226
+ .long 19972402
+ .long 1072153069
+ .long 3507899862
+ .long 1016009292
+ .long 1944781191
+ .long 1072144660
+ .long 3993278767
+ .long 3161724279
+ .long 1339972927
+ .long 1072136297
+ .long 167908909
+ .long 1015572152
+ .long 1447192521
+ .long 1072127979
+ .long 1462857171
+ .long 3162514521
+ .long 1218806132
+ .long 1072119706
+ .long 1818613052
+ .long 3162548441
+ .long 3907805044
+ .long 1072111477
+ .long 2257091225
+ .long 3161550407
+ .long 4182873220
+ .long 1072103293
+ .long 629542646
+ .long 3161996303
+ .long 1013258799
+ .long 1072095154
+ .long 1748797611
+ .long 3160129082
+ .long 1963711167
+ .long 1072087058
+ .long 1744767757
+ .long 3160574294
+ .long 1719614413
+ .long 1072079006
+ .long 330458198
+ .long 3163282740
+ .long 3561793907
+ .long 1072070997
+ .long 1157054053
+ .long 1011890350
+ .long 2186617381
+ .long 1072063032
+ .long 2270764084
+ .long 3163272713
+ .long 885834528
+ .long 1072055110
+ .long 1973258547
+ .long 3162261564
+ .long 2956612997
+ .long 1072047230
+ .long 2118169751
+ .long 3162735553
+ .long 3111574537
+ .long 1072039393
+ .long 2606161479
+ .long 3162759746
+ .long 363667784
+ .long 1072031599
+ .long 813753950
+ .long 1015785209
+ .long 2321106615
+ .long 1072023846
+ .long 2171176610
+ .long 1009535771
+ .long 3712504873
+ .long 1072016135
+ .long 88491949
+ .long 1015427660
+ .long 3566716925
+ .long 1072008466
+ .long 1536826856
+ .long 1014142433
+ .long 917841882
+ .long 1072000839
+ .long 18715565
+ .long 1015659308
+ .long 3395129871
+ .long 1071993252
+ .long 4025345435
+ .long 3162335388
+ .long 1453150082
+ .long 1071985707
+ .long 498154669
+ .long 3161488062
+ .long 2731501122
+ .long 1071978202
+ .long 1774031855
+ .long 3162470021
+ .long 1990012071
+ .long 1071970738
+ .long 3529070563
+ .long 3162813193
+ .long 2583551245
+ .long 1071963314
+ .long 3161094195
+ .long 1015606491
+ .long 3577096743
+ .long 1071955930
+ .long 2951496418
+ .long 1013793687
+ .long 4040676318
+ .long 1071948586
+ .long 4090609238
+ .long 1015663458
+ .long 3049340112
+ .long 1071941282
+ .long 3062915824
+ .long 1013170595
+ .long 3978100823
+ .long 1071934017
+ .long 3513027190
+ .long 1015845963
+ .long 1617004845
+ .long 1071926792
+ .long 82804944
+ .long 1010342778
+ .long 3645941911
+ .long 1071919605
+ .long 3814685081
+ .long 3161573341
+ .long 569847338
+ .long 1071912458
+ .long 472945272
+ .long 3159290729
+ .long 78413852
+ .long 1071905349
+ .long 4183226867
+ .long 3163017251
+ .long 1276261410
+ .long 1071898278
+ .long 300981948
+ .long 1014684169
+ .long 3272845541
+ .long 1071891245
+ .long 928852419
+ .long 3163488248
+ .long 887463927
+ .long 1071884251
+ .long 3596744163
+ .long 3160794166
+ .long 1829099622
+ .long 1071877294
+ .long 1016661181
+ .long 3163461005
+ .long 926591435
+ .long 1071870375
+ .long 3208833762
+ .long 3162913514
+ .long 1603444721
+ .long 1071863493
+ .long 1548633640
+ .long 3162201326
+ .long 2992903935
+ .long 1071856648
+ .long 2218154406
+ .long 1015228193
+ .long 4232894513
+ .long 1071849840
+ .long 2383938684
+ .long 1014668519
+ .long 171030293
+ .long 1071843070
+ .long 3526460132
+ .long 1014428778
+ .long 2839424854
+ .long 1071836335
+ .long 1171596163
+ .long 1013041679
+ .long 2799960843
+ .long 1071829637
+ .long 1423655381
+ .long 1015022151
+ .long 3504003472
+ .long 1071822975
+ .long 3594001060
+ .long 3157330652
+ .long 4112506593
+ .long 1071816349
+ .long 2947355221
+ .long 1014371048
+ .long 3790955393
+ .long 1071809759
+ .long 2352942462
+ .long 3163180090
+ .long 1709341917
+ .long 1071803205
+ .long 2571168217
+ .long 1014152499
+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .type T2_neg_f,@object
+ .size T2_neg_f,2048
+ .align 16
+pv:
+ .long 3078135644
+ .long 1049787983
+ .long 381774870
+ .long 1062650220
+ .long 436314137
+ .long 1056571808
+ .long 1431655765
+ .long 1067799893
+ .type pv,@object
+ .size pv,32
+ .align 4
+HALFMASK:
+ .long 4160749568
+ .long 2147483647
+ .type HALFMASK,@object
+ .size HALFMASK,8
+ .align 4
+ONEMASK:
+ .long 0
+ .long 1072693248
+ .type ONEMASK,@object
+ .size ONEMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_cosh.1-.
+ .4byte ..___tag_value_cosh.5-..___tag_value_cosh.1
+ .2byte 0x0400
+ .4byte ..___tag_value_cosh.3-..___tag_value_cosh.1
+ .2byte 0x100e
+ .byte 0x04
+ .4byte ..___tag_value_cosh.4-..___tag_value_cosh.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_exp.S b/libm/x86_64/e_exp.S
new file mode 100644
index 0000000..6882dfc
--- /dev/null
+++ b/libm/x86_64/e_exp.S
@@ -0,0 +1,636 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Description:
+// Let K = 64 (table size).
+// x x/log(2) n
+// e = 2 = 2 * T[j] * (1 + P(y))
+// where
+// x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K]
+// m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
+// j/K
+// values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]).
+//
+// P(y) is a minimax polynomial approximation of exp(x)-1
+// on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V).
+//
+// To avoid problems with arithmetic overflow and underflow,
+// n n1 n2
+// value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2]
+// where BIAS is a value of exponent bias.
+//
+// Special cases:
+// exp(NaN) = NaN
+// exp(+INF) = +INF
+// exp(-INF) = 0
+// exp(x) = 1 for subnormals
+// for finite argument, only exp(0)=1 is exact
+// For IEEE double
+// if x > 709.782712893383973096 then exp(x) overflow
+// if x < -745.133219101941108420 then exp(x) underflow
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin exp
+ENTRY(exp)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_exp.1:
+ subq $24, %rsp
+..___tag_value_exp.3:
+ movsd %xmm0, 8(%rsp)
+..B1.2:
+ unpcklpd %xmm0, %xmm0
+ movapd cv(%rip), %xmm1
+ movapd Shifter(%rip), %xmm6
+ movapd 16+cv(%rip), %xmm2
+ movapd 32+cv(%rip), %xmm3
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ movl $16527, %edx
+ subl %eax, %edx
+ subl $15504, %eax
+ orl %eax, %edx
+ cmpl $-2147483648, %edx
+ jae .L_2TAG_PACKET_0.0.2
+ mulpd %xmm0, %xmm1
+ addpd %xmm6, %xmm1
+ movapd %xmm1, %xmm7
+ subpd %xmm6, %xmm1
+ mulpd %xmm1, %xmm2
+ movapd 64+cv(%rip), %xmm4
+ mulpd %xmm1, %xmm3
+ movapd 80+cv(%rip), %xmm5
+ subpd %xmm2, %xmm0
+ movd %xmm7, %eax
+ movl %eax, %ecx
+ andl $63, %ecx
+ shll $4, %ecx
+ sarl $6, %eax
+ movl %eax, %edx
+ movdqa mmask(%rip), %xmm6
+ pand %xmm6, %xmm7
+ movdqa bias(%rip), %xmm6
+ paddq %xmm6, %xmm7
+ psllq $46, %xmm7
+ subpd %xmm3, %xmm0
+ lea Tbl_addr(%rip), %r8
+ movapd (%rcx,%r8), %xmm2
+ mulpd %xmm0, %xmm4
+ movapd %xmm0, %xmm6
+ movapd %xmm0, %xmm1
+ mulpd %xmm6, %xmm6
+ mulpd %xmm6, %xmm0
+ addpd %xmm4, %xmm5
+ mulsd %xmm6, %xmm0
+ mulpd 48+cv(%rip), %xmm6
+ addsd %xmm2, %xmm1
+ unpckhpd %xmm2, %xmm2
+ mulpd %xmm5, %xmm0
+ addsd %xmm0, %xmm1
+ orpd %xmm7, %xmm2
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ addsd %xmm6, %xmm0
+ addl $894, %edx
+ cmpl $1916, %edx
+ ja .L_2TAG_PACKET_1.0.2
+ mulsd %xmm2, %xmm0
+ addsd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_1.0.2:
+ xorpd %xmm3, %xmm3
+ movapd ALLONES(%rip), %xmm4
+ movl $-1022, %edx
+ subl %eax, %edx
+ movd %edx, %xmm5
+ psllq %xmm5, %xmm4
+ movl %eax, %ecx
+ sarl $1, %eax
+ pinsrw $3, %eax, %xmm3
+ movapd ebias(%rip), %xmm6
+ psllq $4, %xmm3
+ psubd %xmm3, %xmm2
+ mulsd %xmm2, %xmm0
+ cmpl $52, %edx
+ jg .L_2TAG_PACKET_2.0.2
+ andpd %xmm2, %xmm4
+ paddd %xmm6, %xmm3
+ subsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ cmpl $1023, %ecx
+ jge .L_2TAG_PACKET_3.0.2
+ pextrw $3, %xmm0, %ecx
+ andl $32768, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_4.0.2
+ movapd %xmm0, %xmm6
+ addsd %xmm4, %xmm0
+ mulsd %xmm3, %xmm0
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_5.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_5.0.2:
+ mulsd %xmm3, %xmm6
+ mulsd %xmm3, %xmm4
+ movq %xmm6, %xmm0
+ pxor %xmm4, %xmm6
+ psrad $31, %xmm6
+ pshufd $85, %xmm6, %xmm6
+ psllq $1, %xmm0
+ psrlq $1, %xmm0
+ pxor %xmm6, %xmm0
+ psrlq $63, %xmm6
+ paddq %xmm6, %xmm0
+ paddq %xmm4, %xmm0
+ movl $15, (%rsp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_4.0.2:
+ addsd %xmm4, %xmm0
+ mulsd %xmm3, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_3.0.2:
+ addsd %xmm4, %xmm0
+ mulsd %xmm3, %xmm0
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ jnb .L_2TAG_PACKET_7.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ paddd %xmm6, %xmm3
+ addpd %xmm2, %xmm0
+ mulsd %xmm3, %xmm0
+ movl $15, (%rsp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_8.0.2:
+ cmpl $2146435072, %eax
+ jae .L_2TAG_PACKET_9.0.2
+ movl 12(%rsp), %eax
+ cmpl $-2147483648, %eax
+ jae .L_2TAG_PACKET_10.0.2
+ movsd XMAX(%rip), %xmm0
+ mulsd %xmm0, %xmm0
+.L_2TAG_PACKET_7.0.2:
+ movl $14, (%rsp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_10.0.2:
+ movsd XMIN(%rip), %xmm0
+ mulsd %xmm0, %xmm0
+ movl $15, (%rsp)
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_9.0.2:
+ movl 8(%rsp), %edx
+ cmpl $2146435072, %eax
+ ja .L_2TAG_PACKET_11.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_11.0.2
+ movl 12(%rsp), %eax
+ cmpl $2146435072, %eax
+ jne .L_2TAG_PACKET_12.0.2
+ movsd INF(%rip), %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_12.0.2:
+ movsd ZERO(%rip), %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_11.0.2:
+ movsd 8(%rsp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ movl 12(%rsp), %eax
+ andl $2147483647, %eax
+ cmpl $1083179008, %eax
+ jae .L_2TAG_PACKET_8.0.2
+ movsd 8(%rsp), %xmm0
+ addsd ONE_val(%rip), %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ movq %xmm0, 16(%rsp)
+..B1.3:
+ movq 16(%rsp), %xmm0
+.L_2TAG_PACKET_13.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_exp.4:
+ ret
+..___tag_value_exp.5:
+END(exp)
+# -- End exp
+ .section .rodata, "a"
+ .align 16
+ .align 16
+cv:
+ .long 1697350398
+ .long 1079448903
+ .long 1697350398
+ .long 1079448903
+ .long 4277796864
+ .long 1065758274
+ .long 4277796864
+ .long 1065758274
+ .long 3164486458
+ .long 1025308570
+ .long 3164486458
+ .long 1025308570
+ .long 4294967294
+ .long 1071644671
+ .long 4294967294
+ .long 1071644671
+ .long 3811088480
+ .long 1062650204
+ .long 1432067621
+ .long 1067799893
+ .long 3230715663
+ .long 1065423125
+ .long 1431604129
+ .long 1069897045
+ .type cv,@object
+ .size cv,96
+ .align 16
+Shifter:
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .type Shifter,@object
+ .size Shifter,16
+ .align 16
+mmask:
+ .long 4294967232
+ .long 0
+ .long 4294967232
+ .long 0
+ .type mmask,@object
+ .size mmask,16
+ .align 16
+bias:
+ .long 65472
+ .long 0
+ .long 65472
+ .long 0
+ .type bias,@object
+ .size bias,16
+ .align 16
+Tbl_addr:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 235107661
+ .long 1018002367
+ .long 1048019040
+ .long 11418
+ .long 896005651
+ .long 1015861842
+ .long 3541402996
+ .long 22960
+ .long 1642514529
+ .long 1012987726
+ .long 410360776
+ .long 34629
+ .long 1568897900
+ .long 1016568486
+ .long 1828292879
+ .long 46424
+ .long 1882168529
+ .long 1010744893
+ .long 852742562
+ .long 58348
+ .long 509852888
+ .long 1017336174
+ .long 3490863952
+ .long 70401
+ .long 653277307
+ .long 1017431380
+ .long 2930322911
+ .long 82586
+ .long 1649557430
+ .long 1017729363
+ .long 1014845818
+ .long 94904
+ .long 1058231231
+ .long 1015777676
+ .long 3949972341
+ .long 107355
+ .long 1044000607
+ .long 1016786167
+ .long 828946858
+ .long 119943
+ .long 1151779725
+ .long 1015705409
+ .long 2288159958
+ .long 132667
+ .long 3819481236
+ .long 1016499965
+ .long 1853186616
+ .long 145530
+ .long 2552227826
+ .long 1015039787
+ .long 1709341917
+ .long 158533
+ .long 1829350193
+ .long 1015216097
+ .long 4112506593
+ .long 171677
+ .long 1913391795
+ .long 1015756674
+ .long 2799960843
+ .long 184965
+ .long 1303423926
+ .long 1015238005
+ .long 171030293
+ .long 198398
+ .long 1574172746
+ .long 1016061241
+ .long 2992903935
+ .long 211976
+ .long 3424156969
+ .long 1017196428
+ .long 926591434
+ .long 225703
+ .long 1938513547
+ .long 1017631273
+ .long 887463926
+ .long 239579
+ .long 2804567149
+ .long 1015390024
+ .long 1276261410
+ .long 253606
+ .long 631083525
+ .long 1017690182
+ .long 569847337
+ .long 267786
+ .long 1623370770
+ .long 1011049453
+ .long 1617004845
+ .long 282120
+ .long 3667985273
+ .long 1013894369
+ .long 3049340112
+ .long 296610
+ .long 3145379760
+ .long 1014403278
+ .long 3577096743
+ .long 311258
+ .long 2603100681
+ .long 1017152460
+ .long 1990012070
+ .long 326066
+ .long 3249202951
+ .long 1017448880
+ .long 1453150081
+ .long 341035
+ .long 419288974
+ .long 1016280325
+ .long 917841882
+ .long 356167
+ .long 3793507337
+ .long 1016095713
+ .long 3712504873
+ .long 371463
+ .long 728023093
+ .long 1016345318
+ .long 363667784
+ .long 386927
+ .long 2582678538
+ .long 1017123460
+ .long 2956612996
+ .long 402558
+ .long 7592966
+ .long 1016721543
+ .long 2186617380
+ .long 418360
+ .long 228611441
+ .long 1016696141
+ .long 1719614412
+ .long 434334
+ .long 2261665670
+ .long 1017457593
+ .long 1013258798
+ .long 450482
+ .long 544148907
+ .long 1017323666
+ .long 3907805043
+ .long 466805
+ .long 2383914918
+ .long 1017143586
+ .long 1447192520
+ .long 483307
+ .long 1176412038
+ .long 1017267372
+ .long 1944781190
+ .long 499988
+ .long 2882956373
+ .long 1013312481
+ .long 919555682
+ .long 516851
+ .long 3154077648
+ .long 1016528543
+ .long 2571947538
+ .long 533897
+ .long 348651999
+ .long 1016405780
+ .long 2604962540
+ .long 551129
+ .long 3253791412
+ .long 1015920431
+ .long 1110089947
+ .long 568549
+ .long 1509121860
+ .long 1014756995
+ .long 2568320822
+ .long 586158
+ .long 2617649212
+ .long 1017340090
+ .long 2966275556
+ .long 603959
+ .long 553214634
+ .long 1016457425
+ .long 2682146383
+ .long 621954
+ .long 730975783
+ .long 1014083580
+ .long 2191782032
+ .long 640145
+ .long 1486499517
+ .long 1016818996
+ .long 2069751140
+ .long 658534
+ .long 2595788928
+ .long 1016407932
+ .long 2990417244
+ .long 677123
+ .long 1853053619
+ .long 1015310724
+ .long 1434058175
+ .long 695915
+ .long 2462790535
+ .long 1015814775
+ .long 2572866477
+ .long 714911
+ .long 3693944214
+ .long 1017259110
+ .long 3092190714
+ .long 734114
+ .long 2979333550
+ .long 1017188654
+ .long 4076559942
+ .long 753526
+ .long 174054861
+ .long 1014300631
+ .long 2420883922
+ .long 773150
+ .long 816778419
+ .long 1014197934
+ .long 3716502172
+ .long 792987
+ .long 3507050924
+ .long 1015341199
+ .long 777507147
+ .long 813041
+ .long 1821514088
+ .long 1013410604
+ .long 3706687593
+ .long 833312
+ .long 920623539
+ .long 1016295433
+ .long 1242007931
+ .long 853805
+ .long 2789017511
+ .long 1014276997
+ .long 3707479175
+ .long 874520
+ .long 3586233004
+ .long 1015962192
+ .long 64696965
+ .long 895462
+ .long 474650514
+ .long 1016642419
+ .long 863738718
+ .long 916631
+ .long 1614448851
+ .long 1014281732
+ .long 3884662774
+ .long 938030
+ .long 2450082086
+ .long 1016164135
+ .long 2728693977
+ .long 959663
+ .long 1101668360
+ .long 1015989180
+ .long 3999357479
+ .long 981531
+ .long 835814894
+ .long 1015702697
+ .long 1533953344
+ .long 1003638
+ .long 1301400989
+ .long 1014466875
+ .long 2174652632
+ .long 1025985
+ .type Tbl_addr,@object
+ .size Tbl_addr,1024
+ .align 16
+ALLONES:
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .long 4294967295
+ .type ALLONES,@object
+ .size ALLONES,16
+ .align 16
+ebias:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 1072693248
+ .type ebias,@object
+ .size ebias,16
+ .align 4
+XMAX:
+ .long 4294967295
+ .long 2146435071
+ .type XMAX,@object
+ .size XMAX,8
+ .align 4
+XMIN:
+ .long 0
+ .long 1048576
+ .type XMIN,@object
+ .size XMIN,8
+ .align 4
+INF:
+ .long 0
+ .long 2146435072
+ .type INF,@object
+ .size INF,8
+ .align 4
+ZERO:
+ .long 0
+ .long 0
+ .type ZERO,@object
+ .size ZERO,8
+ .align 4
+ONE_val:
+ .long 0
+ .long 1072693248
+ .type ONE_val,@object
+ .size ONE_val,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_exp.1-.
+ .4byte ..___tag_value_exp.5-..___tag_value_exp.1
+ .2byte 0x0400
+ .4byte ..___tag_value_exp.3-..___tag_value_exp.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_exp.4-..___tag_value_exp.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_hypot.S b/libm/x86_64/e_hypot.S
new file mode 100644
index 0000000..089b2b4
--- /dev/null
+++ b/libm/x86_64/e_hypot.S
@@ -0,0 +1,210 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// X87 version:
+// Use 80-bit FPU precision fmul, fsqrt to compute square and sqrt.
+//
+// SSE version:
+// Swap x, y if |x|<|y|
+// For x=2^k*x, get y=y*2^(-k)
+// Get S ~ sqrt(x^2+y^2) (leading 1 + leading 25 mantissa bits)
+//
+// Get D = ( RN(x^2+y^2) - S^2 ) + ( x^2 - RN(x^2) ) +
+// + ( y^2 - ((RN(x^2+y^2)-RN(x^2)) )
+//
+// Result is 2^k*(S + Se), where Se = S*e
+// S*e is approximated as (D/2S)*( 1 - (D/2S)^2*1.0/S )
+//
+// Return 2^k*(S+Se)
+//
+// For |y/x|<2^(-64), return x
+//
+// For cases where maximum biased exponent is either greater than 7fdh or
+// below 32, take a special path to check for special cases (0, NaN, Inf),
+// possible overflow, and more accurate computation for denormal results
+//
+// Special cases:
+// hypot(x,y), hypot(y,x), and hypot(x,-y) are equivalent
+// hypot(x,+-0) is equivalent to fabs(x)
+// hypot(x,y) = y if (x==NaN or x==INF) and y==INF
+// hypot(x,y) = x if (x==NaN or x==INF) and y!=INF (even if y==NaN!)
+// hypot(x,y) = y if (x!=NaN and x!=INF) and (y==NaN or y==INF)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin hypot
+ENTRY(hypot)
+# parameter 1: %xmm0
+# parameter 2: %xmm1
+..B1.1:
+..___tag_value_hypot.1:
+..___tag_value_hypot.3:
+..B1.2:
+ subq $64, %rsp
+ movapd static_const_table(%rip), %xmm3
+ movsd %xmm0, 48(%rsp)
+ movsd %xmm1, 56(%rsp)
+ andpd %xmm3, %xmm0
+ andpd %xmm3, %xmm1
+ pextrw $3, %xmm0, %eax
+ pextrw $3, %xmm1, %edx
+ cmpl $24528, %eax
+ ja .L_2TAG_PACKET_0.0.1
+ cmpl $24528, %edx
+ ja .L_2TAG_PACKET_0.0.1
+.L_2TAG_PACKET_1.0.1:
+ fldl 48(%rsp)
+ fldl 56(%rsp)
+ fxch %st(1)
+ fmul %st(0), %st
+ fxch %st(1)
+ nop
+ fmul %st(0), %st
+ faddp %st, %st(1)
+ fsqrt
+ jmp .L_2TAG_PACKET_2.0.1
+.L_2TAG_PACKET_0.0.1:
+ cmpl $32752, %eax
+ movl %eax, %ecx
+ jae .L_2TAG_PACKET_3.0.1
+ subl %edx, %ecx
+ cmpl $32752, %edx
+ jae .L_2TAG_PACKET_3.0.1
+ addl $928, %ecx
+ addl %edx, %eax
+ cmpl $1856, %ecx
+ ja .L_2TAG_PACKET_4.0.1
+ cmpl $49056, %eax
+ jb .L_2TAG_PACKET_1.0.1
+ fldl 48(%rsp)
+ fldl 56(%rsp)
+ fxch %st(1)
+ fmul %st(0), %st
+ fxch %st(1)
+ nop
+ fmul %st(0), %st
+ faddp %st, %st(1)
+ fsqrt
+.L_2TAG_PACKET_5.0.1:
+ fstl (%rsp)
+ fstpt 16(%rsp)
+ xorl %eax, %eax
+ movw 24(%rsp), %ax
+ cmpl $17407, %eax
+ jae .L_2TAG_PACKET_6.0.1
+ fldl (%rsp)
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_4.0.1:
+ movsd %xmm0, 32(%rsp)
+ movsd %xmm1, 40(%rsp)
+ fldl 32(%rsp)
+ faddl 40(%rsp)
+ jmp .L_2TAG_PACKET_5.0.1
+.L_2TAG_PACKET_6.0.1:
+ fldl (%rsp)
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_3.0.1:
+ shufpd $0, %xmm1, %xmm0
+ movdqa %xmm0, %xmm2
+ movdqa 16+static_const_table(%rip), %xmm3
+ movsd %xmm0, 32(%rsp)
+ movsd %xmm1, 40(%rsp)
+ cmppd $3, %xmm0, %xmm2
+ cmppd $0, %xmm0, %xmm3
+ movmskpd %xmm2, %edx
+ movmskpd %xmm3, %rax
+ testl %edx, %edx
+ je .L_2TAG_PACKET_8.0.1
+ fldl 32(%rsp)
+ fmull 40(%rsp)
+ testq $1, %rax
+ jne .L_2TAG_PACKET_9.0.1
+ testq $2, %rax
+ jne .L_2TAG_PACKET_10.0.1
+ jmp .L_2TAG_PACKET_2.0.1
+.L_2TAG_PACKET_8.0.1:
+ fldl 32(%rsp)
+ faddl 40(%rsp)
+ jmp .L_2TAG_PACKET_2.0.1
+.L_2TAG_PACKET_9.0.1:
+ fstpl 40(%rsp)
+ fldl 32(%rsp)
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_10.0.1:
+ fstpl 32(%rsp)
+ fldl 40(%rsp)
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_2.0.1:
+.L_2TAG_PACKET_7.0.1:
+ fstpl 16(%rsp)
+ movq 16(%rsp), %xmm0
+ addq $64, %rsp
+ ret
+..B1.3:
+..___tag_value_hypot.4:
+END(hypot)
+# -- End hypot
+ .section .rodata, "a"
+ .align 16
+ .align 16
+static_const_table:
+ .long 4294967295
+ .long 2147483647
+ .long 4294967295
+ .long 2147483647
+ .long 0
+ .long 2146435072
+ .long 0
+ .long 2146435072
+ .type static_const_table,@object
+ .size static_const_table,32
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x00000014
+ .4byte 0x0000001c
+ .4byte ..___tag_value_hypot.1-.
+ .4byte ..___tag_value_hypot.4-..___tag_value_hypot.1
+ .2byte 0x0400
+ .4byte ..___tag_value_hypot.3-..___tag_value_hypot.1
+ .2byte 0x100e
+# End
diff --git a/libm/x86_64/e_log.S b/libm/x86_64/e_log.S
new file mode 100644
index 0000000..40cb5e2
--- /dev/null
+++ b/libm/x86_64/e_log.S
@@ -0,0 +1,779 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpss instruction (B0)
+// B = int((B0*2^7+0.5))/2^7
+//
+// Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
+//
+// Result: k*log(2) - log(B) + p(r) if |x-1| >= small value (2^-6) and
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log(NaN) = quiet NaN, and raise invalid exception
+// log(+INF) = that INF
+// log(0) = -INF with divide-by-zero exception raised
+// log(1) = +0
+// log(x) = NaN with invalid exception raised if x < -0, including -INF
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin log
+ENTRY(log)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_log.1:
+ subq $24, %rsp
+..___tag_value_log.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ movq $0x3ff0000000000000, %rax
+ movd %rax, %xmm2
+ movq $0x77f0000000000000, %rdx
+ movd %rdx, %xmm3
+ movl $32768, %ecx
+ movd %rcx, %xmm4
+ movq $0xffffe00000000000, %r8
+ movd %r8, %xmm5
+ movq %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $16352, %ecx
+ psrlq $27, %xmm0
+ lea L_tbl(%rip), %r11
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ paddd %xmm4, %xmm0
+ orpd %xmm3, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm1, %xmm5
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm1
+ mulpd %xmm0, %xmm5
+ andl $32752, %eax
+ subl %ecx, %eax
+ cvtsi2sd %eax, %xmm7
+ mulsd %xmm0, %xmm1
+ movq log2(%rip), %xmm6
+ movapd coeff(%rip), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd (%r11,%rdx), %xmm0
+ movapd 16+coeff(%rip), %xmm4
+ addsd %xmm5, %xmm1
+ movapd 32+coeff(%rip), %xmm2
+ mulsd %xmm7, %xmm6
+ movddup %xmm1, %xmm5
+ mulsd 8+log2(%rip), %xmm7
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm4
+ mulpd %xmm5, %xmm5
+ movddup %xmm0, %xmm6
+ addsd %xmm1, %xmm0
+ addpd %xmm2, %xmm4
+ mulpd %xmm5, %xmm3
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm4
+ pshufd $238, %xmm0, %xmm2
+ addsd %xmm6, %xmm1
+ mulsd %xmm5, %xmm5
+ addsd %xmm2, %xmm7
+ addpd %xmm3, %xmm4
+ addsd %xmm7, %xmm1
+ mulpd %xmm5, %xmm4
+ addsd %xmm4, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ movq (%rsp), %xmm0
+ movq (%rsp), %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ cmpl $16, %eax
+ jb .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_4.0.2:
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_5.0.2:
+ ja .L_2TAG_PACKET_4.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_4.0.2
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_3.0.2:
+ xorpd %xmm1, %xmm1
+ addsd %xmm0, %xmm1
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_7.0.2
+ xorpd %xmm1, %xmm1
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ movq %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ psrlq $27, %xmm0
+ movl $18416, %ecx
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_5.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ movl $3, 16(%rsp)
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $2, 16(%rsp)
+.L_2TAG_PACKET_8.0.2:
+ movq %xmm0, 8(%rsp)
+..B1.3:
+ movq 8(%rsp), %xmm0
+.L_2TAG_PACKET_9.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_log.4:
+ ret
+..___tag_value_log.5:
+END(log)
+# -- End log
+ .section .rodata, "a"
+ .align 16
+ .align 16
+L_tbl:
+ .long 4277811200
+ .long 1072049730
+ .long 2479318832
+ .long 1026487127
+ .long 2854492160
+ .long 1072033410
+ .long 215631550
+ .long 1025638968
+ .long 1547061248
+ .long 1072017216
+ .long 2886781435
+ .long 1026423395
+ .long 649825280
+ .long 1072001146
+ .long 4281533405
+ .long 1024038923
+ .long 646346752
+ .long 1071985198
+ .long 1562735921
+ .long 1023790276
+ .long 2203734016
+ .long 1071969370
+ .long 1838397691
+ .long 3173936209
+ .long 1872169984
+ .long 1071953661
+ .long 3981202460
+ .long 1022325013
+ .long 669557760
+ .long 1071938069
+ .long 4182597802
+ .long 3173174122
+ .long 4076413952
+ .long 1071922591
+ .long 1209029111
+ .long 3170736207
+ .long 556125184
+ .long 1071907228
+ .long 821086028
+ .long 3173437049
+ .long 204914688
+ .long 1071891976
+ .long 2097025986
+ .long 3171071798
+ .long 387545088
+ .long 1071876834
+ .long 3142936996
+ .long 3173092218
+ .long 2912783360
+ .long 1071861800
+ .long 2502420140
+ .long 1024505919
+ .long 1144260608
+ .long 1071846874
+ .long 3315658140
+ .long 3173469843
+ .long 1471209472
+ .long 1071832053
+ .long 129621009
+ .long 3172443877
+ .long 1829683200
+ .long 1071817336
+ .long 3885467693
+ .long 1025535275
+ .long 288676864
+ .long 1071802722
+ .long 86139472
+ .long 3171639793
+ .long 3636378624
+ .long 1071788208
+ .long 1850238587
+ .long 1024654342
+ .long 1606817792
+ .long 1071773795
+ .long 3388899795
+ .long 3173675586
+ .long 1236164608
+ .long 1071759480
+ .long 3983599207
+ .long 1020046558
+ .long 1089616896
+ .long 1071745262
+ .long 4171974224
+ .long 1024773198
+ .long 4143093760
+ .long 1071731139
+ .long 2727587401
+ .long 3173965207
+ .long 600267776
+ .long 1071717112
+ .long 3147685042
+ .long 3173353031
+ .long 2249313280
+ .long 1071703177
+ .long 125835074
+ .long 1025255832
+ .long 3805303808
+ .long 1071689334
+ .long 2289991207
+ .long 1025460331
+ .long 87278592
+ .long 1071675583
+ .long 1106114045
+ .long 1025933602
+ .long 3195405312
+ .long 1071661920
+ .long 3885316576
+ .long 3171206239
+ .long 3853649920
+ .long 1071648346
+ .long 2977069852
+ .long 3171236771
+ .long 2944026624
+ .long 1071625048
+ .long 1008093493
+ .long 1023444474
+ .long 3993180160
+ .long 1071598247
+ .long 1862355595
+ .long 1024642533
+ .long 1454641152
+ .long 1071571617
+ .long 1514603089
+ .long 1026500596
+ .long 3286085632
+ .long 1071545154
+ .long 1400028424
+ .long 3173279056
+ .long 438773760
+ .long 1071518858
+ .long 120727864
+ .long 3172148914
+ .long 1212979200
+ .long 1071492725
+ .long 1625055594
+ .long 3172901933
+ .long 1189017600
+ .long 1071466754
+ .long 3920062376
+ .long 1025727407
+ .long 403064832
+ .long 1071440943
+ .long 1053271728
+ .long 3171391427
+ .long 3343210496
+ .long 1071415289
+ .long 3243395502
+ .long 3173627613
+ .long 1765777408
+ .long 1071389792
+ .long 2145968512
+ .long 1026354304
+ .long 461430784
+ .long 1071364449
+ .long 4094322285
+ .long 1026021467
+ .long 71706624
+ .long 1071339258
+ .long 763632021
+ .long 1024496933
+ .long 1380503552
+ .long 1071314217
+ .long 1383547992
+ .long 3173088453
+ .long 1015732224
+ .long 1071289325
+ .long 3198646877
+ .long 1025390322
+ .long 35977216
+ .long 1071264580
+ .long 2141026805
+ .long 1025754693
+ .long 3927306240
+ .long 1071239979
+ .long 282116272
+ .long 3173394334
+ .long 1125341184
+ .long 1071215523
+ .long 2768427504
+ .long 3172279059
+ .long 1666971648
+ .long 1071191208
+ .long 786837629
+ .long 3172427445
+ .long 2827694080
+ .long 1071167033
+ .long 3857122416
+ .long 3173014241
+ .long 2003683328
+ .long 1071142997
+ .long 859010954
+ .long 1026545007
+ .long 1004017664
+ .long 1071119098
+ .long 3356644970
+ .long 3173458064
+ .long 1753020416
+ .long 1071095334
+ .long 788338552
+ .long 1026157693
+ .long 1992718336
+ .long 1071071704
+ .long 1239179443
+ .long 1026394889
+ .long 3870234624
+ .long 1071048206
+ .long 2082614663
+ .long 1024926053
+ .long 1050437632
+ .long 1071024840
+ .long 660007840
+ .long 1025548499
+ .long 188395520
+ .long 1071001603
+ .long 3878792704
+ .long 3173889571
+ .long 3747176448
+ .long 1070978493
+ .long 144991708
+ .long 3171552042
+ .long 1405669376
+ .long 1070955511
+ .long 3999088879
+ .long 1025486317
+ .long 121151488
+ .long 1070932654
+ .long 2170865497
+ .long 1026473584
+ .long 2652319744
+ .long 1070909920
+ .long 453695652
+ .long 3173916809
+ .long 3262236672
+ .long 1070887309
+ .long 157800053
+ .long 3173984206
+ .long 601221120
+ .long 1070864820
+ .long 3968917661
+ .long 1023992886
+ .long 1999843328
+ .long 1070842450
+ .long 3053895004
+ .long 1024998228
+ .long 1992167424
+ .long 1070820199
+ .long 2968614856
+ .long 1024552653
+ .long 3788726272
+ .long 1070798065
+ .long 3542170808
+ .long 3173573242
+ .long 2094829568
+ .long 1070776048
+ .long 1246758132
+ .long 1026202874
+ .long 288675840
+ .long 1070754146
+ .long 3747328950
+ .long 1026331585
+ .long 1829681152
+ .long 1070732357
+ .long 3125197546
+ .long 1024100318
+ .long 1666869248
+ .long 1070710681
+ .long 1363656119
+ .long 1026336493
+ .long 3417110528
+ .long 1070689116
+ .long 4154791553
+ .long 1026267853
+ .long 2183653376
+ .long 1070667662
+ .long 1671819292
+ .long 3173785870
+ .long 1734434816
+ .long 1070646317
+ .long 373091049
+ .long 1025972363
+ .long 1615681536
+ .long 1070625080
+ .long 384650897
+ .long 1022926043
+ .long 1445382144
+ .long 1070603950
+ .long 344320330
+ .long 3172397196
+ .long 1823715328
+ .long 1070569756
+ .long 3389841200
+ .long 1025231852
+ .long 3839688704
+ .long 1070527917
+ .long 1706790417
+ .long 3167363349
+ .long 4293332992
+ .long 1070486286
+ .long 1614935088
+ .long 1019351591
+ .long 2966720512
+ .long 1070444861
+ .long 4145393717
+ .long 3173711658
+ .long 4066729984
+ .long 1070403639
+ .long 1974925028
+ .long 3171437182
+ .long 3337621504
+ .long 1070362619
+ .long 3314953170
+ .long 3169971314
+ .long 943448064
+ .long 1070321799
+ .long 1498682038
+ .long 3173862340
+ .long 1465634816
+ .long 1070281176
+ .long 1319952810
+ .long 3171693965
+ .long 1015734272
+ .long 1070240749
+ .long 1347821929
+ .long 3173544515
+ .long 118001664
+ .long 1070200516
+ .long 1751482746
+ .long 1026134093
+ .long 3707174912
+ .long 1070160474
+ .long 1486946159
+ .long 1023930920
+ .long 3946381312
+ .long 1070120623
+ .long 2867408081
+ .long 3171368276
+ .long 1699848192
+ .long 1070080961
+ .long 2590187139
+ .long 1025379803
+ .long 2235846656
+ .long 1070041485
+ .long 1888568069
+ .long 3172754960
+ .long 2339729408
+ .long 1070002194
+ .long 3852214753
+ .long 3173323149
+ .long 3196850176
+ .long 1069963086
+ .long 742141560
+ .long 1025101707
+ .long 1800683520
+ .long 1069924160
+ .long 3949500444
+ .long 3172102179
+ .long 3835801600
+ .long 1069885413
+ .long 3848895943
+ .long 1025913832
+ .long 2201202688
+ .long 1069846845
+ .long 1425913464
+ .long 1025868665
+ .long 2778279936
+ .long 1069808453
+ .long 2120889677
+ .long 3173831128
+ .long 2954203136
+ .long 1069770236
+ .long 592147081
+ .long 1019621288
+ .long 210141184
+ .long 1069732193
+ .long 3414275233
+ .long 1023647084
+ .long 709476352
+ .long 1069694321
+ .long 2413027164
+ .long 1024462115
+ .long 2116284416
+ .long 1069656619
+ .long 1144559924
+ .long 1026336654
+ .long 2183651328
+ .long 1069619086
+ .long 3459057650
+ .long 1025634168
+ .long 3047047168
+ .long 1069581720
+ .long 1879674924
+ .long 3173508573
+ .long 970711040
+ .long 1069541521
+ .long 1335954173
+ .long 3173332182
+ .long 2198478848
+ .long 1069467449
+ .long 2951103968
+ .long 3173892200
+ .long 1669611520
+ .long 1069393703
+ .long 531044147
+ .long 1025149248
+ .long 29114368
+ .long 1069320280
+ .long 3327831251
+ .long 1025918673
+ .long 2376949760
+ .long 1069247176
+ .long 737634533
+ .long 3172176000
+ .long 1085390848
+ .long 1069174390
+ .long 3108243400
+ .long 3171828406
+ .long 1566130176
+ .long 1069101918
+ .long 985483226
+ .long 1025708380
+ .long 792780800
+ .long 1069029758
+ .long 4184866295
+ .long 1024426204
+ .long 183156736
+ .long 1068957907
+ .long 2845699378
+ .long 1022107277
+ .long 1301782528
+ .long 1068886362
+ .long 1012735262
+ .long 3173804294
+ .long 1562411008
+ .long 1068815121
+ .long 2197086703
+ .long 3170187813
+ .long 2815549440
+ .long 1068744181
+ .long 2782613207
+ .long 1026345054
+ .long 2756124672
+ .long 1068673540
+ .long 2929486205
+ .long 3173037800
+ .long 3511050240
+ .long 1068603195
+ .long 1443733147
+ .long 3173331549
+ .long 3047047168
+ .long 1068533144
+ .long 1879674924
+ .long 3172459997
+ .long 3221667840
+ .long 1068427825
+ .long 1338588027
+ .long 3171815742
+ .long 3453861888
+ .long 1068288883
+ .long 1205348359
+ .long 3172624626
+ .long 3506110464
+ .long 1068150514
+ .long 893105198
+ .long 1025571866
+ .long 346013696
+ .long 1068012714
+ .long 3495569021
+ .long 3172563349
+ .long 4074029056
+ .long 1067875476
+ .long 3961106338
+ .long 3171065595
+ .long 3559784448
+ .long 1067738798
+ .long 1975385384
+ .long 3173783155
+ .long 797769728
+ .long 1067602675
+ .long 3760305787
+ .long 1026047642
+ .long 2313633792
+ .long 1067467101
+ .long 1559353171
+ .long 1023480256
+ .long 3960766464
+ .long 1067213778
+ .long 1067365107
+ .long 1025865926
+ .long 684261376
+ .long 1066944805
+ .long 844762164
+ .long 3173687482
+ .long 630718464
+ .long 1066676905
+ .long 2458269694
+ .long 1024033081
+ .long 1486061568
+ .long 1066410070
+ .long 115537874
+ .long 3173243995
+ .long 2743664640
+ .long 1065886792
+ .long 3665098304
+ .long 3173471607
+ .long 1971912704
+ .long 1065357333
+ .long 2577214440
+ .long 3171993451
+ .long 1498939392
+ .long 1064306693
+ .long 3409036923
+ .long 1025599151
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .type L_tbl,@object
+ .size L_tbl,2064
+ .align 16
+log2:
+ .long 4277811200
+ .long 1067855426
+ .long 2479318832
+ .long 1022292823
+ .type log2,@object
+ .size log2,16
+ .align 16
+coeff:
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1030730101
+ .long 3217380702
+ .long 1431655765
+ .long 1070945621
+ .long 2576980378
+ .long 1070176665
+ .long 0
+ .long 3219128320
+ .type coeff,@object
+ .size coeff,48
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_log.1-.
+ .4byte ..___tag_value_log.5-..___tag_value_log.1
+ .2byte 0x0400
+ .4byte ..___tag_value_log.3-..___tag_value_log.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_log.4-..___tag_value_log.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_log10.S b/libm/x86_64/e_log10.S
new file mode 100644
index 0000000..4f43a36
--- /dev/null
+++ b/libm/x86_64/e_log10.S
@@ -0,0 +1,807 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpss instruction (B0)
+// B = int((B0*LH*2^7+0.5))/2^7
+// LH is a short approximation for log10(e)
+//
+// Reduced argument: r=B*mx-LH (computed accurately in high and low parts)
+//
+// Result: k*log10(2) - log(B) + p(r)
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log10(0) = -INF with divide-by-zero exception raised
+// log10(1) = +0
+// log10(x) = NaN with invalid exception raised if x < -0, including -INF
+// log10(+INF) = +INF
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin log10
+ENTRY(log10)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_log10.1:
+ subq $24, %rsp
+..___tag_value_log10.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movl $1054736384, %ecx
+ movd %ecx, %xmm7
+ xorpd %xmm3, %xmm3
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm3
+ movq %xmm0, %xmm1
+ movl $32768, %edx
+ movd %edx, %xmm4
+ movapd HIGHSIGMASK(%rip), %xmm5
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $16352, %ecx
+ psrlq $27, %xmm0
+ movq LOG10_E(%rip), %xmm2
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $78, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+.L_2TAG_PACKET_1.0.2:
+ mulss %xmm7, %xmm0
+ orpd %xmm3, %xmm1
+ lea L_tbl(%rip), %r11
+ andpd %xmm1, %xmm5
+ paddd %xmm4, %xmm0
+ subsd %xmm5, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm6, %xmm0
+ andl $32752, %eax
+ subl %ecx, %eax
+ cvtsi2sd %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ mulsd %xmm0, %xmm1
+ movq log2(%rip), %xmm6
+ movapd coeff(%rip), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd -1504(%r11,%rdx), %xmm0
+ movapd 16+coeff(%rip), %xmm4
+ addsd %xmm5, %xmm1
+ movapd 32+coeff(%rip), %xmm2
+ mulsd %xmm7, %xmm6
+ pshufd $68, %xmm1, %xmm5
+ mulsd 8+log2(%rip), %xmm7
+ mulsd %xmm1, %xmm3
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm4
+ movq 8+LOG10_E(%rip), %xmm6
+ mulpd %xmm5, %xmm5
+ addpd %xmm2, %xmm4
+ mulpd %xmm5, %xmm3
+ pshufd $228, %xmm0, %xmm2
+ addsd %xmm1, %xmm0
+ mulsd %xmm1, %xmm4
+ subsd %xmm0, %xmm2
+ mulsd %xmm1, %xmm6
+ addsd %xmm2, %xmm1
+ pshufd $238, %xmm0, %xmm2
+ mulsd %xmm5, %xmm5
+ addsd %xmm2, %xmm7
+ addsd %xmm6, %xmm1
+ addpd %xmm3, %xmm4
+ addsd %xmm7, %xmm1
+ mulpd %xmm5, %xmm4
+ addsd %xmm4, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ movq (%rsp), %xmm0
+ movq (%rsp), %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_2.0.2
+ cmpl $16, %eax
+ jb .L_2TAG_PACKET_3.0.2
+.L_2TAG_PACKET_4.0.2:
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_5.0.2:
+ ja .L_2TAG_PACKET_4.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_4.0.2
+ jmp .L_2TAG_PACKET_6.0.2
+.L_2TAG_PACKET_3.0.2:
+ xorpd %xmm1, %xmm1
+ addsd %xmm0, %xmm1
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_7.0.2
+ xorpd %xmm1, %xmm1
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movq %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psrlq $27, %xmm0
+ movq LOG10_E(%rip), %xmm2
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $78, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_2.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_5.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ movl $9, 16(%rsp)
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $8, 16(%rsp)
+.L_2TAG_PACKET_8.0.2:
+ movq %xmm0, 8(%rsp)
+..B1.3:
+ movq 8(%rsp), %xmm0
+.L_2TAG_PACKET_9.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_log10.4:
+ ret
+..___tag_value_log10.5:
+END(log10)
+# -- End log10
+ .section .rodata, "a"
+ .align 16
+ .align 16
+HIGHSIGMASK:
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 4294959104
+ .type HIGHSIGMASK,@object
+ .size HIGHSIGMASK,16
+ .align 16
+LOG10_E:
+ .long 0
+ .long 1071366144
+ .long 3207479560
+ .long 1062894188
+ .type LOG10_E,@object
+ .size LOG10_E,16
+ .align 16
+L_tbl:
+ .long 1352628224
+ .long 1070810131
+ .long 521319256
+ .long 1025503025
+ .long 2150839296
+ .long 1070801944
+ .long 3329350096
+ .long 3170190015
+ .long 1360613376
+ .long 1070793794
+ .long 2024059075
+ .long 1024991594
+ .long 1875350528
+ .long 1070785680
+ .long 2163882141
+ .long 3163564137
+ .long 2312126464
+ .long 1070777602
+ .long 1975711076
+ .long 1023674196
+ .long 1306336256
+ .long 1070769560
+ .long 3524899523
+ .long 3170508164
+ .long 1806334976
+ .long 1070761553
+ .long 4254777025
+ .long 1025238739
+ .long 2483193856
+ .long 1070753581
+ .long 3800671317
+ .long 3172916830
+ .long 2025350144
+ .long 1070745644
+ .long 1731514745
+ .long 1025501083
+ .long 3433285632
+ .long 1070737741
+ .long 2551857336
+ .long 3169662186
+ .long 1134317568
+ .long 1070729873
+ .long 3426297655
+ .long 3172637891
+ .long 2457152512
+ .long 1070722038
+ .long 63549415
+ .long 1025415416
+ .long 1861803008
+ .long 1070714237
+ .long 1910171636
+ .long 1023977580
+ .long 2414140416
+ .long 1070706469
+ .long 4002514337
+ .long 3170841618
+ .long 2900726784
+ .long 1070698734
+ .long 3268064083
+ .long 1022459609
+ .long 2123517952
+ .long 1070691032
+ .long 1767031218
+ .long 1022448156
+ .long 3194569728
+ .long 1070683362
+ .long 3402332618
+ .long 3171671160
+ .long 650882048
+ .long 1070675725
+ .long 4146023905
+ .long 3171023038
+ .long 1928988672
+ .long 1070668119
+ .long 1438617867
+ .long 1016360491
+ .long 1594908672
+ .long 1070660545
+ .long 971389377
+ .long 1024763979
+ .long 2818746368
+ .long 1070653002
+ .long 3555925341
+ .long 3172434821
+ .long 194584576
+ .long 1070645491
+ .long 943919215
+ .long 3172950063
+ .long 1215096832
+ .long 1070638010
+ .long 2283358588
+ .long 1022335098
+ .long 501519360
+ .long 1070630560
+ .long 480904295
+ .long 1024437959
+ .long 1278266368
+ .long 1070623140
+ .long 2755806066
+ .long 3172342012
+ .long 2487812096
+ .long 1070615750
+ .long 2489653202
+ .long 3172481099
+ .long 3085451264
+ .long 1070608390
+ .long 3759184951
+ .long 3172574892
+ .long 2039090176
+ .long 1070601060
+ .long 1361176676
+ .long 3172355319
+ .long 953057280
+ .long 1070591423
+ .long 1176587546
+ .long 3166422018
+ .long 3370524672
+ .long 1070576879
+ .long 3669570051
+ .long 1025376630
+ .long 749742080
+ .long 1070562394
+ .long 707700964
+ .long 3170814058
+ .long 4008353792
+ .long 1070547965
+ .long 3247327652
+ .long 1022431400
+ .long 2612455424
+ .long 1070533594
+ .long 2453457344
+ .long 3172322969
+ .long 3230920704
+ .long 1070519279
+ .long 1296781801
+ .long 1025115335
+ .long 3965253632
+ .long 1070505020
+ .long 373075289
+ .long 1017938528
+ .long 2593157120
+ .long 1070476669
+ .long 1068054086
+ .long 1021616576
+ .long 925962240
+ .long 1070448537
+ .long 850121213
+ .long 1023928989
+ .long 1732556800
+ .long 1070420620
+ .long 1305206740
+ .long 3172665570
+ .long 3815630848
+ .long 1070392915
+ .long 192642943
+ .long 3172699907
+ .long 2001758208
+ .long 1070365420
+ .long 2820786683
+ .long 1024704867
+ .long 16746496
+ .long 1070338131
+ .long 1399573110
+ .long 3171372773
+ .long 1886492672
+ .long 1070311044
+ .long 3621428075
+ .long 3172974358
+ .long 3338196992
+ .long 1070284157
+ .long 3793882035
+ .long 1025124701
+ .long 381769728
+ .long 1070257468
+ .long 3877933342
+ .long 3170195490
+ .long 2186491904
+ .long 1070230972
+ .long 1838687089
+ .long 1017927292
+ .long 1008330752
+ .long 1070204668
+ .long 2228321664
+ .long 1025352196
+ .long 2247065600
+ .long 1070178552
+ .long 1413900906
+ .long 3170902532
+ .long 2964070400
+ .long 1070152622
+ .long 3590454629
+ .long 1025016844
+ .long 465154048
+ .long 1070126876
+ .long 2079688550
+ .long 3172268183
+ .long 883615744
+ .long 1070101310
+ .long 989244452
+ .long 3171900485
+ .long 1993768960
+ .long 1070075922
+ .long 1124327841
+ .long 3172964992
+ .long 1794471936
+ .long 1070050710
+ .long 1140575046
+ .long 1022673726
+ .long 2797932544
+ .long 1070025671
+ .long 1894836933
+ .long 3172544059
+ .long 3433797632
+ .long 1070000803
+ .long 3221831166
+ .long 3171921685
+ .long 2338371584
+ .long 1069976104
+ .long 3732461053
+ .long 3164513518
+ .long 2644013056
+ .long 1069951571
+ .long 2519460462
+ .long 3172548740
+ .long 3383814144
+ .long 1069927202
+ .long 2290997657
+ .long 1025499649
+ .long 3781380096
+ .long 1069902995
+ .long 380479405
+ .long 1025184136
+ .long 3245785088
+ .long 1069878948
+ .long 1096398261
+ .long 3169885192
+ .long 1366712320
+ .long 1069855059
+ .long 2218343715
+ .long 3170281628
+ .long 2204717056
+ .long 1069831325
+ .long 2668334011
+ .long 1025264524
+ .long 1401772032
+ .long 1069807745
+ .long 4103993159
+ .long 1022925721
+ .long 3356721152
+ .long 1069784316
+ .long 3573790772
+ .long 3172186527
+ .long 4041148416
+ .long 1069761037
+ .long 4027691910
+ .long 3171276990
+ .long 3880151040
+ .long 1069737906
+ .long 4087118786
+ .long 3172710734
+ .long 3453364224
+ .long 1069714921
+ .long 99014299
+ .long 3172003077
+ .long 3491092480
+ .long 1069692080
+ .long 3801836701
+ .long 3172989287
+ .long 575580160
+ .long 1069669382
+ .long 1920406012
+ .long 3170874125
+ .long 22282240
+ .long 1069646824
+ .long 964193370
+ .long 1019363159
+ .long 2991429632
+ .long 1069624404
+ .long 3372589890
+ .long 1023425053
+ .long 2189645824
+ .long 1069602122
+ .long 2610503872
+ .long 1023652442
+ .long 3341467648
+ .long 1069579975
+ .long 1190292004
+ .long 1022425665
+ .long 3711293440
+ .long 1069557962
+ .long 1104795356
+ .long 1023625829
+ .long 1380401152
+ .long 1069524644
+ .long 1156998217
+ .long 1025100499
+ .long 765710336
+ .long 1069481144
+ .long 1736649113
+ .long 1024999439
+ .long 849412096
+ .long 1069437902
+ .long 2618178330
+ .long 3170853629
+ .long 1433104384
+ .long 1069394915
+ .long 43477267
+ .long 3170378811
+ .long 2548596736
+ .long 1069352180
+ .long 3967367063
+ .long 1025246584
+ .long 157577216
+ .long 1069309695
+ .long 100402533
+ .long 3172825502
+ .long 3326238720
+ .long 1069267455
+ .long 1176892909
+ .long 1025464099
+ .long 4155494400
+ .long 1069225459
+ .long 3713707617
+ .long 3172630046
+ .long 3545804800
+ .long 1069183704
+ .long 857007315
+ .long 1024965777
+ .long 2602520576
+ .long 1069142187
+ .long 2588758347
+ .long 1022463131
+ .long 2631196672
+ .long 1069100905
+ .long 2118424235
+ .long 1022490989
+ .long 838135808
+ .long 1069059856
+ .long 4117002727
+ .long 1024874520
+ .long 3210903552
+ .long 1069019036
+ .long 650070125
+ .long 3172012966
+ .long 3039211520
+ .long 1068978444
+ .long 438055812
+ .long 1017743757
+ .long 2385633280
+ .long 1068938077
+ .long 3011990369
+ .long 3171312044
+ .long 3491618816
+ .long 1068897932
+ .long 712813818
+ .long 3172720400
+ .long 183644160
+ .long 1068858008
+ .long 4287006742
+ .long 1022379728
+ .long 3639214080
+ .long 1068818300
+ .long 353762279
+ .long 3172980009
+ .long 3728416768
+ .long 1068778808
+ .long 1851367730
+ .long 1025486574
+ .long 3370094592
+ .long 1068739529
+ .long 4046594913
+ .long 3172567047
+ .long 1348407296
+ .long 1068700461
+ .long 143189675
+ .long 1025397632
+ .long 899403776
+ .long 1068661601
+ .long 3753687842
+ .long 3170772772
+ .long 1117708288
+ .long 1068622947
+ .long 1857340812
+ .long 3170782678
+ .long 1248276480
+ .long 1068584497
+ .long 1289858203
+ .long 1025222289
+ .long 683237376
+ .long 1068546249
+ .long 2356679608
+ .long 3171629170
+ .long 3253764096
+ .long 1068508200
+ .long 3267136556
+ .long 1018554987
+ .long 94478336
+ .long 1068441756
+ .long 1927868814
+ .long 3169378180
+ .long 3233144832
+ .long 1068366445
+ .long 2682188854
+ .long 1023964004
+ .long 2940297216
+ .long 1068291522
+ .long 275301289
+ .long 1023944679
+ .long 3677708288
+ .long 1068216982
+ .long 302658771
+ .long 1024465567
+ .long 1576968192
+ .long 1068142822
+ .long 3672035940
+ .long 3172254610
+ .long 1614069760
+ .long 1068069037
+ .long 480052905
+ .long 3172692062
+ .long 424435712
+ .long 1067995624
+ .long 2207869657
+ .long 3170965436
+ .long 3477782528
+ .long 1067922578
+ .long 2980661858
+ .long 3164990018
+ .long 3598401536
+ .long 1067849897
+ .long 1974393034
+ .long 3171357083
+ .long 2435235840
+ .long 1067777577
+ .long 1385289011
+ .long 1024615823
+ .long 1867333632
+ .long 1067705614
+ .long 3442236633
+ .long 1025334384
+ .long 3999301632
+ .long 1067634004
+ .long 3506472073
+ .long 1025132546
+ .long 2566971392
+ .long 1067562745
+ .long 1425757592
+ .long 3172358463
+ .long 112943104
+ .long 1067491833
+ .long 1693407156
+ .long 3172426603
+ .long 3079929856
+ .long 1067392159
+ .long 3999942455
+ .long 1018549369
+ .long 2443837440
+ .long 1067251701
+ .long 974534460
+ .long 1023963412
+ .long 359366656
+ .long 1067111917
+ .long 2204915018
+ .long 1013514416
+ .long 3564519424
+ .long 1066972799
+ .long 3977441659
+ .long 3170879860
+ .long 2011086848
+ .long 1066834343
+ .long 590145514
+ .long 1025390011
+ .long 3216982016
+ .long 1066696541
+ .long 3629120110
+ .long 1024330313
+ .long 2194128896
+ .long 1066559388
+ .long 2367098512
+ .long 3172260338
+ .long 2916220928
+ .long 1066422877
+ .long 2262431886
+ .long 1021229446
+ .long 2263941120
+ .long 1066172214
+ .long 3118507287
+ .long 1021484970
+ .long 3076292608
+ .long 1065901726
+ .long 1411737803
+ .long 3172957147
+ .long 1186136064
+ .long 1065632488
+ .long 3109349337
+ .long 1025397383
+ .long 3085303808
+ .long 1065364487
+ .long 584715031
+ .long 3172596519
+ .long 1821048832
+ .long 1064842211
+ .long 2182246895
+ .long 3172536214
+ .long 697368576
+ .long 1064311094
+ .long 3157561765
+ .long 3172716357
+ .long 894042112
+ .long 1063260131
+ .long 3237958154
+ .long 3172587292
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .type L_tbl,@object
+ .size L_tbl,2064
+ .align 16
+log2:
+ .long 1352628224
+ .long 1066615827
+ .long 521319256
+ .long 1021308721
+ .type log2,@object
+ .size log2,16
+ .align 16
+coeff:
+ .long 3248877870
+ .long 1077250164
+ .long 1691676429
+ .long 3221787401
+ .long 945132465
+ .long 3223701783
+ .long 3700831335
+ .long 1073506818
+ .long 2141010593
+ .long 1075227551
+ .long 3698831637
+ .long 3220339442
+ .type coeff,@object
+ .size coeff,48
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_log10.1-.
+ .4byte ..___tag_value_log10.5-..___tag_value_log10.1
+ .2byte 0x0400
+ .4byte ..___tag_value_log10.3-..___tag_value_log10.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_log10.4-..___tag_value_log10.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_pow.S b/libm/x86_64/e_pow.S
new file mode 100644
index 0000000..9ec3828
--- /dev/null
+++ b/libm/x86_64/e_pow.S
@@ -0,0 +1,4282 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// log2(x) calculation:
+//
+// Get B~1/mx based on the output of rcpps instruction (B0)
+// B = int((B0*LH*2^9+0.5))/2^9
+// LH is a short approximation for log2(e)
+//
+// Reduced argument, scaled by LH:
+// r=B*mx-LH (computed accurately in high and low parts)
+//
+// log2(x) result: k - log2(B) + p(r)
+// p(r) is a degree 8 polynomial
+// -log2(B) read from data table (high, low parts)
+// log2(x) is formed from high and low parts
+// For |x| in [1-1/32, 1+1/16), a slower but more accurate computation
+// based om the same table design is performed.
+//
+// Main path is taken if | floor(log2(|log2(|x|)|) + floor(log2|y|) | < 8,
+// to filter out all potential OF/UF cases.
+// exp2(y*log2(x)) is computed using an 8-bit index table and a degree 5
+// polynomial
+//
+// Special cases:
+// pow(-0,y) = -INF and raises the divide-by-zero exception for y an odd
+// integer < 0.
+// pow(-0,y) = +INF and raises the divide-by-zero exception for y < 0 and
+// not an odd integer.
+// pow(-0,y) = -0 for y an odd integer > 0.
+// pow(-0,y) = +0 for y > 0 and not an odd integer.
+// pow(-1,-INF) = 1.
+// pow(+1,y) = 1 for any y, even a NaN.
+// pow(x,-0) = 1 for any x, even a NaN.
+// pow(x,y) = a NaN and raises the invalid exception for finite x < 0 and
+// finite non-integer y.
+// pow(x,-INF) = +INF for |x|<1.
+// pow(x,-INF) = +0 for |x|>1.
+// pow(x,+INF) = +0 for |x|<1.
+// pow(x,+INF) = +INF for |x|>1.
+// pow(-INF,y) = -0 for y an odd integer < 0.
+// pow(-INF,y) = +0 for y < 0 and not an odd integer.
+// pow(-INF,y) = -INF for y an odd integer > 0.
+// pow(-INF,y) = +INF for y > 0 and not an odd integer.
+// pow(+INF,y) = +0 for y <0.
+// pow(+INF,y) = +INF for y >0.
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin pow
+ENTRY(pow)
+# parameter 1: %xmm0
+# parameter 2: %xmm1
+..B1.1:
+..___tag_value_pow.1:
+ subq $40, %rsp
+..___tag_value_pow.3:
+ movsd %xmm0, 8(%rsp)
+ movsd %xmm1, 16(%rsp)
+..B1.2:
+ pextrw $3, %xmm0, %eax
+ xorpd %xmm2, %xmm2
+ movq $0x3ff0000000000000, %r9
+ movd %r9, %xmm2
+ movl $1069088768, %r8d
+ movd %r8, %xmm7
+ xorpd %xmm1, %xmm1
+ movq $0x77f0000000000000, %r10
+ movd %r10, %xmm1
+ movq %xmm0, %xmm3
+ movl $32752, %edx
+ andl %eax, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ orpd %xmm2, %xmm0
+ movapd HIGHSIGMASK(%rip), %xmm6
+ psrlq $27, %xmm0
+ movq LOG2_E(%rip), %xmm2
+ psrld $2, %xmm0
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm3
+ movl $8192, %r11d
+ movd %r11, %xmm4
+ psrlq $12, %xmm3
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ movq $0, %r8
+.L_2TAG_PACKET_1.0.2:
+ mulss %xmm7, %xmm0
+ movl $-1, %edx
+ subl $4, %ecx
+ shll %cl, %edx
+ shlq $32, %rdx
+ movd %rdx, %xmm5
+ orpd %xmm1, %xmm3
+ subl $16351, %eax
+ cmpl $1, %eax
+ jbe .L_2TAG_PACKET_2.0.2
+ paddd %xmm4, %xmm0
+ andpd %xmm3, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+.L_2TAG_PACKET_3.0.2:
+ subsd %xmm5, %xmm3
+ andpd %xmm6, %xmm0
+ subl $1, %eax
+ sarl $4, %eax
+ cvtsi2sd %eax, %xmm7
+ mulpd %xmm0, %xmm5
+.L_2TAG_PACKET_4.0.2:
+ mulsd %xmm0, %xmm3
+ movapd coeff(%rip), %xmm1
+ lea L_tbl(%rip), %r11
+ subsd %xmm2, %xmm5
+ movapd 16+coeff(%rip), %xmm4
+ movl %eax, %ecx
+ sarl $31, %eax
+ addl %eax, %ecx
+ xorl %ecx, %eax
+ addl $1, %eax
+ bsr %eax, %eax
+ unpcklpd %xmm3, %xmm5
+ movapd 32+coeff(%rip), %xmm6
+ addsd %xmm5, %xmm3
+ andl $16760832, %edx
+ shrl $10, %edx
+ addpd -3648(%r11,%rdx), %xmm5
+ movapd 48+coeff(%rip), %xmm0
+ pshufd $68, %xmm3, %xmm2
+ mulsd %xmm3, %xmm3
+ mulpd %xmm2, %xmm1
+ mulpd %xmm2, %xmm4
+ addsd %xmm7, %xmm5
+ mulsd %xmm3, %xmm2
+ addpd %xmm1, %xmm6
+ mulsd %xmm3, %xmm3
+ addpd %xmm4, %xmm0
+ movq 16(%rsp), %xmm1
+ movw 22(%rsp), %cx
+ pshufd $238, %xmm5, %xmm7
+ movq HIGHMASK_Y(%rip), %xmm4
+ mulpd %xmm2, %xmm6
+ pshufd $68, %xmm3, %xmm3
+ mulpd %xmm2, %xmm0
+ shll $4, %eax
+ subl $15872, %eax
+ andl $32752, %ecx
+ addl %ecx, %eax
+ mulpd %xmm6, %xmm3
+ cmpl $624, %eax
+ jae .L_2TAG_PACKET_5.0.2
+ xorpd %xmm6, %xmm6
+ movl $17080, %edx
+ pinsrw $3, %edx, %xmm6
+ movq %xmm1, %xmm2
+ andpd %xmm1, %xmm4
+ subsd %xmm4, %xmm1
+ mulsd %xmm5, %xmm4
+ addsd %xmm7, %xmm0
+ mulsd %xmm5, %xmm1
+ movq %xmm6, %xmm7
+ addsd %xmm4, %xmm6
+ lea T_exp(%rip), %r11
+ addpd %xmm0, %xmm3
+ movd %xmm6, %edx
+ subsd %xmm7, %xmm6
+ pshufd $238, %xmm3, %xmm0
+ subsd %xmm6, %xmm4
+ addsd %xmm3, %xmm0
+ movl %edx, %ecx
+ andl $255, %edx
+ addl %edx, %edx
+ movapd (%r11,%rdx,8), %xmm5
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ movapd e_coeff(%rip), %xmm7
+ movapd 16+e_coeff(%rip), %xmm3
+ shll $12, %ecx
+ xorl %r8d, %ecx
+ andl $-1048576, %ecx
+ movd %rcx, %xmm6
+ addsd %xmm4, %xmm2
+ movq $0x3fe62e42fefa39ef, %r9
+ movd %r9, %xmm1
+ pshufd $68, %xmm2, %xmm0
+ pshufd $68, %xmm2, %xmm4
+ mulsd %xmm2, %xmm1
+ pshufd $17, %xmm6, %xmm6
+ mulpd %xmm0, %xmm0
+ mulpd %xmm4, %xmm7
+ paddd %xmm6, %xmm5
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ mulsd %xmm0, %xmm0
+ addpd %xmm7, %xmm3
+ addsd %xmm6, %xmm1
+ mulpd %xmm3, %xmm0
+ pshufd $238, %xmm0, %xmm3
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm0
+ addsd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ addl $16, %eax
+ movl $32752, %edx
+ andl %eax, %edx
+ cmpl $32752, %edx
+ je .L_2TAG_PACKET_6.0.2
+ testl $32768, %eax
+ jne .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_8.0.2:
+ movq 8(%rsp), %xmm0
+ movq 8(%rsp), %xmm3
+ movd %xmm3, %edx
+ psrlq $32, %xmm3
+ movd %xmm3, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_9.0.2
+ xorpd %xmm3, %xmm3
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm3
+ mulsd %xmm3, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movq %xmm0, %xmm3
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psrlq $27, %xmm0
+ movq LOG2_E(%rip), %xmm2
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm3
+ movapd HIGHSIGMASK(%rip), %xmm6
+ psrlq $12, %xmm3
+ mulss %xmm7, %xmm0
+ movl $-1024, %edx
+ movd %edx, %xmm5
+ orpd %xmm1, %xmm3
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm3, %xmm5
+ movl $0, %r8d
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ andl $32752, %eax
+ subl $18416, %eax
+ sarl $4, %eax
+ cvtsi2sd %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_10.0.2:
+ movq 8(%rsp), %xmm0
+ movq 8(%rsp), %xmm3
+ movd %xmm3, %edx
+ psrlq $32, %xmm3
+ movd %xmm3, %ecx
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_9.0.2
+ xorpd %xmm3, %xmm3
+ movl $18416, %eax
+ pinsrw $3, %eax, %xmm3
+ mulsd %xmm3, %xmm0
+ xorpd %xmm2, %xmm2
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm2
+ movq %xmm0, %xmm3
+ pextrw $3, %xmm0, %eax
+ orpd %xmm2, %xmm0
+ movl $18416, %ecx
+ psrlq $27, %xmm0
+ movq LOG2_E(%rip), %xmm2
+ psrld $2, %xmm0
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm3
+ movapd HIGHSIGMASK(%rip), %xmm6
+ psrlq $12, %xmm3
+ mulss %xmm7, %xmm0
+ movl $-1024, %edx
+ movd %edx, %xmm5
+ orpd %xmm1, %xmm3
+ paddd %xmm4, %xmm0
+ psllq $32, %xmm5
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm3, %xmm5
+ movl $-2147483648, %r8d
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ andl $32752, %eax
+ subl $18416, %eax
+ sarl $4, %eax
+ cvtsi2sd %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ jmp .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_11.0.2
+ cmpl $736, %eax
+ jae .L_2TAG_PACKET_12.0.2
+ addsd %xmm7, %xmm0
+ movq HALFMASK(%rip), %xmm2
+ addpd %xmm0, %xmm3
+ xorpd %xmm6, %xmm6
+ movl $17080, %eax
+ pinsrw $3, %eax, %xmm6
+ pshufd $238, %xmm3, %xmm0
+ addsd %xmm3, %xmm0
+ movq %xmm5, %xmm3
+ addsd %xmm0, %xmm5
+ movq %xmm2, %xmm4
+ subsd %xmm5, %xmm3
+ movq %xmm5, %xmm7
+ andpd %xmm2, %xmm5
+ movq %xmm1, %xmm2
+ andpd %xmm1, %xmm4
+ subsd %xmm5, %xmm7
+ addsd %xmm3, %xmm0
+ subsd %xmm4, %xmm1
+ mulsd %xmm5, %xmm4
+ addsd %xmm7, %xmm0
+ mulsd %xmm0, %xmm2
+ movq %xmm6, %xmm7
+ mulsd %xmm5, %xmm1
+ addsd %xmm4, %xmm6
+ movd %xmm6, %eax
+ subsd %xmm7, %xmm6
+ lea T_exp(%rip), %r11
+ addsd %xmm1, %xmm2
+ movapd e_coeff(%rip), %xmm7
+ movapd 16+e_coeff(%rip), %xmm3
+ subsd %xmm6, %xmm4
+ pextrw $3, %xmm6, %edx
+ movl %eax, %ecx
+ andl $255, %eax
+ addl %eax, %eax
+ movapd (%r11,%rax,8), %xmm5
+ addsd %xmm4, %xmm2
+ sarl $8, %ecx
+ movl %ecx, %eax
+ sarl $1, %ecx
+ subl %ecx, %eax
+ shll $20, %ecx
+ xorl %r8d, %ecx
+ movd %ecx, %xmm6
+ movq 32+e_coeff(%rip), %xmm1
+ andl $32767, %edx
+ cmpl $16529, %edx
+ ja .L_2TAG_PACKET_12.0.2
+ pshufd $68, %xmm2, %xmm0
+ pshufd $68, %xmm2, %xmm4
+ mulpd %xmm0, %xmm0
+ mulpd %xmm4, %xmm7
+ pshufd $17, %xmm6, %xmm6
+ mulsd %xmm2, %xmm1
+ mulsd %xmm0, %xmm0
+ paddd %xmm6, %xmm5
+ addpd %xmm7, %xmm3
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm5, %xmm6
+ mulpd %xmm3, %xmm0
+ addsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm3
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ shll $4, %eax
+ xorpd %xmm4, %xmm4
+ addl $16368, %eax
+ pinsrw $3, %eax, %xmm4
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm0
+ movq %xmm0, %xmm1
+ addsd %xmm5, %xmm0
+ mulsd %xmm4, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ je .L_2TAG_PACKET_13.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_14.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ movq 16(%rsp), %xmm1
+ movq 8(%rsp), %xmm0
+ movq %xmm0, %xmm2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_15.0.2
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_16.0.2
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_16.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ movl $29, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_18.0.2:
+ movq 16(%rsp), %xmm0
+ addpd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_15.0.2:
+ movd %xmm1, %eax
+ movq %xmm1, %xmm2
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_19.0.2
+ pextrw $3, %xmm2, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ jne .L_2TAG_PACKET_20.0.2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ jne .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_20.0.2:
+ pextrw $3, %xmm0, %eax
+ testl $32768, %eax
+ jne .L_2TAG_PACKET_21.0.2
+ testl $-2147483648, %ecx
+ jne .L_2TAG_PACKET_22.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_23.0.2:
+ movq 16(%rsp), %xmm1
+ movd %xmm1, %eax
+ testl $1, %eax
+ jne .L_2TAG_PACKET_24.0.2
+ testl $2, %eax
+ jne .L_2TAG_PACKET_25.0.2
+ jmp .L_2TAG_PACKET_24.0.2
+.L_2TAG_PACKET_21.0.2:
+ shrl $20, %ecx
+ andl $2047, %ecx
+ cmpl $1075, %ecx
+ ja .L_2TAG_PACKET_24.0.2
+ je .L_2TAG_PACKET_26.0.2
+ cmpl $1074, %ecx
+ ja .L_2TAG_PACKET_23.0.2
+ cmpl $1023, %ecx
+ jb .L_2TAG_PACKET_24.0.2
+ movq 16(%rsp), %xmm1
+ movl $17208, %eax
+ xorpd %xmm3, %xmm3
+ pinsrw $3, %eax, %xmm3
+ movq %xmm3, %xmm4
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ jne .L_2TAG_PACKET_24.0.2
+ movd %xmm3, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_24.0.2
+.L_2TAG_PACKET_25.0.2:
+ movq 16(%rsp), %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32768, %eax
+ jne .L_2TAG_PACKET_27.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_27.0.2:
+ xorpd %xmm0, %xmm0
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_24.0.2:
+ movq 16(%rsp), %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32768, %eax
+ jne .L_2TAG_PACKET_22.0.2
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_26.0.2:
+ movq 16(%rsp), %xmm1
+ movd %xmm1, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_24.0.2
+ jmp .L_2TAG_PACKET_25.0.2
+.L_2TAG_PACKET_28.0.2:
+ movd %xmm1, %eax
+ psrlq $20, %xmm1
+ movd %xmm1, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_29.0.2
+ movq 16(%rsp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_29.0.2:
+ movq 8(%rsp), %xmm0
+ pextrw $3, %xmm0, %eax
+ cmpl $49136, %eax
+ jne .L_2TAG_PACKET_30.0.2
+ movd %xmm0, %ecx
+ psrlq $20, %xmm0
+ movd %xmm0, %edx
+ orl %edx, %ecx
+ jne .L_2TAG_PACKET_30.0.2
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_30.0.2:
+ movq 16(%rsp), %xmm1
+ andl $32752, %eax
+ subl $16368, %eax
+ pextrw $3, %xmm1, %edx
+ xorpd %xmm0, %xmm0
+ xorl %edx, %eax
+ andl $32768, %eax
+ je .L_2TAG_PACKET_31.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_31.0.2:
+ movl $32752, %ecx
+ pinsrw $3, %ecx, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_32.0.2:
+ movd %xmm1, %eax
+ cmpl $17184, %edx
+ ja .L_2TAG_PACKET_33.0.2
+ testl $1, %eax
+ jne .L_2TAG_PACKET_34.0.2
+ testl $2, %eax
+ je .L_2TAG_PACKET_35.0.2
+ jmp .L_2TAG_PACKET_36.0.2
+.L_2TAG_PACKET_33.0.2:
+ testl $1, %eax
+ je .L_2TAG_PACKET_35.0.2
+ jmp .L_2TAG_PACKET_36.0.2
+.L_2TAG_PACKET_7.0.2:
+ movq 8(%rsp), %xmm2
+ movd %xmm2, %eax
+ psrlq $31, %xmm2
+ movd %xmm2, %ecx
+ orl %ecx, %eax
+ je .L_2TAG_PACKET_9.0.2
+ movq 16(%rsp), %xmm1
+ pextrw $3, %xmm1, %edx
+ movd %xmm1, %eax
+ movq %xmm1, %xmm2
+ psrlq $32, %xmm2
+ movd %xmm2, %ecx
+ addl %ecx, %ecx
+ orl %eax, %ecx
+ je .L_2TAG_PACKET_37.0.2
+ andl $32752, %edx
+ cmpl $32752, %edx
+ je .L_2TAG_PACKET_28.0.2
+ cmpl $17200, %edx
+ ja .L_2TAG_PACKET_35.0.2
+ cmpl $17184, %edx
+ jae .L_2TAG_PACKET_32.0.2
+ cmpl $16368, %edx
+ jb .L_2TAG_PACKET_34.0.2
+ movl $17208, %eax
+ xorpd %xmm2, %xmm2
+ pinsrw $3, %eax, %xmm2
+ movq %xmm2, %xmm4
+ addsd %xmm1, %xmm2
+ subsd %xmm2, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32767, %eax
+ jne .L_2TAG_PACKET_34.0.2
+ movd %xmm2, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_35.0.2
+.L_2TAG_PACKET_36.0.2:
+ xorpd %xmm1, %xmm1
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm1
+ movq LOG2_E(%rip), %xmm2
+ movq 8(%rsp), %xmm4
+ pextrw $3, %xmm4, %eax
+ movl $8192, %edx
+ movd %edx, %xmm4
+ andl $32767, %eax
+ subl $16, %eax
+ jl .L_2TAG_PACKET_10.0.2
+ movl %eax, %edx
+ andl $32752, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ movl $-2147483648, %r8d
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_34.0.2:
+ xorpd %xmm1, %xmm1
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ xorpd %xmm0, %xmm0
+ mulsd %xmm1, %xmm0
+ movl $28, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_35.0.2:
+ xorpd %xmm1, %xmm1
+ movl $30704, %edx
+ pinsrw $3, %edx, %xmm1
+ movq LOG2_E(%rip), %xmm2
+ movq 8(%rsp), %xmm4
+ pextrw $3, %xmm4, %eax
+ movl $8192, %edx
+ movd %edx, %xmm4
+ andl $32767, %eax
+ subl $16, %eax
+ jl .L_2TAG_PACKET_8.0.2
+ movl %eax, %edx
+ andl $32752, %edx
+ subl $16368, %edx
+ movl %edx, %ecx
+ sarl $31, %edx
+ addl %edx, %ecx
+ xorl %edx, %ecx
+ addl $16, %ecx
+ bsr %ecx, %ecx
+ movl $0, %r8d
+ jmp .L_2TAG_PACKET_1.0.2
+.L_2TAG_PACKET_19.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_22.0.2:
+ xorpd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_11.0.2:
+ addl $384, %eax
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_38.0.2
+ mulsd %xmm1, %xmm5
+ addsd %xmm7, %xmm0
+ shrl $31, %r8d
+ addpd %xmm0, %xmm3
+ pshufd $238, %xmm3, %xmm0
+ addsd %xmm0, %xmm3
+ lea log2(%rip), %r11
+ movq (%r11,%r8,8), %xmm4
+ mulsd %xmm3, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ shll $15, %r8d
+ orl %r8d, %eax
+ pinsrw $3, %eax, %xmm0
+ addsd %xmm1, %xmm5
+ mulsd %xmm4, %xmm5
+ addsd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_38.0.2:
+.L_2TAG_PACKET_37.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_39.0.2:
+ xorpd %xmm0, %xmm0
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm0
+ movl $26, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_9.0.2:
+ movq 16(%rsp), %xmm1
+ movq %xmm1, %xmm2
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ jne .L_2TAG_PACKET_40.0.2
+ movd %xmm2, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %edx
+ orl %edx, %eax
+ jne .L_2TAG_PACKET_18.0.2
+.L_2TAG_PACKET_40.0.2:
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ movl %edx, %ecx
+ addl %edx, %edx
+ orl %edx, %eax
+ je .L_2TAG_PACKET_39.0.2
+ shrl $21, %edx
+ cmpl $1075, %edx
+ ja .L_2TAG_PACKET_41.0.2
+ je .L_2TAG_PACKET_42.0.2
+ cmpl $1023, %edx
+ jb .L_2TAG_PACKET_41.0.2
+ movq 16(%rsp), %xmm1
+ movl $17208, %eax
+ xorpd %xmm3, %xmm3
+ pinsrw $3, %eax, %xmm3
+ movq %xmm3, %xmm4
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ pextrw $3, %xmm1, %eax
+ andl $32752, %eax
+ jne .L_2TAG_PACKET_41.0.2
+ movd %xmm3, %eax
+ andl $1, %eax
+ je .L_2TAG_PACKET_41.0.2
+.L_2TAG_PACKET_43.0.2:
+ movq 8(%rsp), %xmm0
+ testl $-2147483648, %ecx
+ jne .L_2TAG_PACKET_44.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_42.0.2:
+ movq 16(%rsp), %xmm1
+ movd %xmm1, %eax
+ testl $1, %eax
+ jne .L_2TAG_PACKET_43.0.2
+.L_2TAG_PACKET_41.0.2:
+ testl $-2147483648, %ecx
+ je .L_2TAG_PACKET_22.0.2
+ xorpd %xmm0, %xmm0
+.L_2TAG_PACKET_44.0.2:
+ movl $16368, %eax
+ xorpd %xmm1, %xmm1
+ pinsrw $3, %eax, %xmm1
+ divsd %xmm0, %xmm1
+ movq %xmm1, %xmm0
+ movl $27, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_12.0.2:
+ movq 8(%rsp), %xmm2
+ movq 16(%rsp), %xmm6
+ pextrw $3, %xmm2, %eax
+ pextrw $3, %xmm6, %edx
+ movl $32752, %ecx
+ andl %edx, %ecx
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_45.0.2
+ andl $32752, %eax
+ subl $16368, %eax
+ xorl %eax, %edx
+ testl $32768, %edx
+ jne .L_2TAG_PACKET_46.0.2
+.L_2TAG_PACKET_47.0.2:
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ shrl $16, %r8d
+ orl %r8d, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+.L_2TAG_PACKET_14.0.2:
+ movl $24, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_46.0.2:
+ movl $16, %eax
+ pinsrw $3, %eax, %xmm0
+ mulsd %xmm0, %xmm0
+ testl $-2147483648, %r8d
+ je .L_2TAG_PACKET_48.0.2
+ movq $0x8000000000000000, %r9
+ movd %r9, %xmm2
+ xorpd %xmm2, %xmm0
+.L_2TAG_PACKET_48.0.2:
+ movl $25, (%rsp)
+ jmp .L_2TAG_PACKET_17.0.2
+.L_2TAG_PACKET_13.0.2:
+ pextrw $3, %xmm5, %ecx
+ pextrw $3, %xmm4, %edx
+ movl $-1, %eax
+ andl $32752, %ecx
+ subl $16368, %ecx
+ andl $32752, %edx
+ addl %ecx, %edx
+ movl $-31, %ecx
+ sarl $4, %edx
+ subl %edx, %ecx
+ jle .L_2TAG_PACKET_49.0.2
+ cmpl $20, %ecx
+ ja .L_2TAG_PACKET_50.0.2
+ shll %cl, %eax
+.L_2TAG_PACKET_49.0.2:
+ movd %eax, %xmm0
+ psllq $32, %xmm0
+ andpd %xmm5, %xmm0
+ subsd %xmm0, %xmm5
+ addsd %xmm1, %xmm5
+ mulsd %xmm4, %xmm0
+ mulsd %xmm4, %xmm5
+ addsd %xmm5, %xmm0
+.L_2TAG_PACKET_50.0.2:
+ jmp .L_2TAG_PACKET_48.0.2
+.L_2TAG_PACKET_2.0.2:
+ movw 22(%rsp), %cx
+ movl $-2147483648, %edx
+ movd %rdx, %xmm1
+ xorpd %xmm7, %xmm7
+ paddd %xmm4, %xmm0
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ paddq %xmm3, %xmm1
+ andpd %xmm1, %xmm5
+ andw $32752, %cx
+ cmpw $16560, %cx
+ jb .L_2TAG_PACKET_3.0.2
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm3
+ addl $16351, %eax
+ shrl $4, %eax
+ subl $1022, %eax
+ cvtsi2sd %eax, %xmm7
+ mulpd %xmm0, %xmm5
+ lea L_tbl(%rip), %r11
+ movq coeff_h(%rip), %xmm4
+ mulsd %xmm0, %xmm3
+ movq coeff_h(%rip), %xmm6
+ subsd %xmm2, %xmm5
+ movq 8+coeff_h(%rip), %xmm1
+ pshufd $68, %xmm3, %xmm2
+ unpcklpd %xmm3, %xmm5
+ addsd %xmm5, %xmm3
+ movq 8+coeff_h(%rip), %xmm0
+ andl $16760832, %edx
+ shrl $10, %edx
+ addpd -3648(%r11,%rdx), %xmm7
+ mulsd %xmm5, %xmm4
+ mulsd %xmm5, %xmm0
+ mulsd %xmm2, %xmm6
+ mulsd %xmm2, %xmm1
+ movq %xmm5, %xmm2
+ mulsd %xmm5, %xmm4
+ addsd %xmm0, %xmm5
+ movq %xmm7, %xmm0
+ addsd %xmm3, %xmm2
+ addsd %xmm5, %xmm7
+ mulsd %xmm2, %xmm6
+ subsd %xmm7, %xmm0
+ movq %xmm7, %xmm2
+ addsd %xmm4, %xmm7
+ addsd %xmm5, %xmm0
+ subsd %xmm7, %xmm2
+ addsd %xmm2, %xmm4
+ pshufd $238, %xmm5, %xmm2
+ movq %xmm7, %xmm5
+ addsd %xmm2, %xmm7
+ addsd %xmm0, %xmm4
+ movapd coeff(%rip), %xmm0
+ subsd %xmm7, %xmm5
+ addsd %xmm4, %xmm6
+ movq %xmm7, %xmm4
+ addsd %xmm2, %xmm5
+ addsd %xmm1, %xmm7
+ movapd 64+coeff(%rip), %xmm2
+ subsd %xmm7, %xmm4
+ addsd %xmm5, %xmm6
+ addsd %xmm1, %xmm4
+ pshufd $238, %xmm7, %xmm5
+ movapd %xmm7, %xmm1
+ addsd %xmm5, %xmm7
+ subsd %xmm7, %xmm1
+ addsd %xmm5, %xmm1
+ movapd 80+coeff(%rip), %xmm5
+ pshufd $68, %xmm3, %xmm3
+ addsd %xmm4, %xmm6
+ addsd %xmm1, %xmm6
+ movapd 32+coeff(%rip), %xmm1
+ mulpd %xmm3, %xmm0
+ mulpd %xmm3, %xmm2
+ pshufd $68, %xmm3, %xmm4
+ mulpd %xmm3, %xmm3
+ addpd %xmm1, %xmm0
+ addpd %xmm2, %xmm5
+ mulsd %xmm3, %xmm4
+ movq HIGHMASK_LOG_X(%rip), %xmm2
+ mulpd %xmm3, %xmm3
+ movq 16(%rsp), %xmm1
+ movw 22(%rsp), %cx
+ mulpd %xmm4, %xmm0
+ pextrw $3, %xmm7, %eax
+ mulpd %xmm4, %xmm5
+ mulpd %xmm3, %xmm0
+ movq 8+HIGHMASK_Y(%rip), %xmm4
+ andpd %xmm7, %xmm2
+ addsd %xmm6, %xmm5
+ subsd %xmm2, %xmm7
+ addpd %xmm0, %xmm5
+ andl $32752, %eax
+ subl $16368, %eax
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ je .L_2TAG_PACKET_45.0.2
+ addl %eax, %ecx
+ cmpl $16576, %ecx
+ jae .L_2TAG_PACKET_51.0.2
+ pshufd $238, %xmm5, %xmm0
+ andpd %xmm1, %xmm4
+ movq %xmm1, %xmm3
+ addsd %xmm0, %xmm5
+ subsd %xmm4, %xmm1
+ xorpd %xmm6, %xmm6
+ movl $17080, %edx
+ pinsrw $3, %edx, %xmm6
+ addsd %xmm5, %xmm7
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm1
+ movq %xmm6, %xmm5
+ mulsd %xmm7, %xmm3
+ addsd %xmm4, %xmm6
+ addsd %xmm3, %xmm1
+ movapd e_coeff(%rip), %xmm7
+ movd %xmm6, %edx
+ subsd %xmm5, %xmm6
+ lea T_exp(%rip), %r11
+ movapd 16+e_coeff(%rip), %xmm3
+ movq 32+e_coeff(%rip), %xmm2
+ subsd %xmm6, %xmm4
+ movl %edx, %ecx
+ andl $255, %edx
+ addl %edx, %edx
+ movapd (%r11,%rdx,8), %xmm5
+ addsd %xmm1, %xmm4
+ pextrw $3, %xmm6, %edx
+ shrl $8, %ecx
+ movl %ecx, %eax
+ shrl $1, %ecx
+ subl %ecx, %eax
+ shll $20, %ecx
+ movd %ecx, %xmm6
+ pshufd $68, %xmm4, %xmm0
+ pshufd $68, %xmm4, %xmm1
+ mulpd %xmm0, %xmm0
+ mulpd %xmm1, %xmm7
+ pshufd $17, %xmm6, %xmm6
+ mulsd %xmm4, %xmm2
+ andl $32767, %edx
+ cmpl $16529, %edx
+ ja .L_2TAG_PACKET_12.0.2
+ mulsd %xmm0, %xmm0
+ paddd %xmm6, %xmm5
+ addpd %xmm7, %xmm3
+ mulsd %xmm5, %xmm2
+ pshufd $238, %xmm5, %xmm6
+ mulpd %xmm3, %xmm0
+ addsd %xmm6, %xmm2
+ pshufd $238, %xmm0, %xmm3
+ addl $1023, %eax
+ shll $20, %eax
+ orl %r8d, %eax
+ movd %eax, %xmm4
+ mulsd %xmm5, %xmm0
+ mulsd %xmm5, %xmm3
+ addsd %xmm2, %xmm0
+ psllq $32, %xmm4
+ addsd %xmm3, %xmm0
+ movq %xmm0, %xmm1
+ addsd %xmm5, %xmm0
+ mulsd %xmm4, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ je .L_2TAG_PACKET_13.0.2
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_14.0.2
+.L_2TAG_PACKET_52.0.2:
+ jmp ..B1.5
+.L_2TAG_PACKET_45.0.2:
+ movq 8(%rsp), %xmm0
+ xorpd %xmm2, %xmm2
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm2
+ addsd %xmm0, %xmm2
+ pextrw $3, %xmm2, %eax
+ cmpl $0, %eax
+ jne .L_2TAG_PACKET_53.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_53.0.2:
+ movq 16(%rsp), %xmm1
+ movd %xmm1, %edx
+ movq %xmm1, %xmm3
+ psrlq $20, %xmm3
+ movd %xmm3, %ecx
+ orl %edx, %ecx
+ je .L_2TAG_PACKET_54.0.2
+ addsd %xmm1, %xmm1
+ movq %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_51.0.2:
+ pextrw $3, %xmm1, %eax
+ pextrw $3, %xmm2, %ecx
+ xorl %ecx, %eax
+ testl $32768, %eax
+ je .L_2TAG_PACKET_47.0.2
+ jmp .L_2TAG_PACKET_46.0.2
+.L_2TAG_PACKET_54.0.2:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ pextrw $3, %xmm1, %edx
+ xorpd %xmm0, %xmm0
+ subl $16368, %eax
+ xorl %edx, %eax
+ testl $32768, %eax
+ je .L_2TAG_PACKET_55.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_55.0.2:
+ movl $32752, %edx
+ pinsrw $3, %edx, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_17.0.2:
+ movq %xmm0, 24(%rsp)
+..B1.3:
+ movq 24(%rsp), %xmm0
+.L_2TAG_PACKET_56.0.2:
+..B1.5:
+ addq $40, %rsp
+..___tag_value_pow.4:
+ ret
+..___tag_value_pow.5:
+END(pow)
+# -- End pow
+ .section .rodata, "a"
+ .align 16
+ .align 16
+HIGHSIGMASK:
+ .long 0
+ .long 4294965248
+ .long 0
+ .long 4294965248
+ .type HIGHSIGMASK,@object
+ .size HIGHSIGMASK,16
+ .align 16
+LOG2_E:
+ .long 0
+ .long 1073160192
+ .long 370913857
+ .long 3210587105
+ .type LOG2_E,@object
+ .size LOG2_E,16
+ .align 16
+coeff:
+ .long 1841914130
+ .long 3213059448
+ .long 3995341938
+ .long 3214607105
+ .long 2677381210
+ .long 3216320731
+ .long 3011779882
+ .long 3218479542
+ .long 1367832035
+ .long 1066403058
+ .long 2894285243
+ .long 1067936923
+ .long 1215221452
+ .long 1069835102
+ .long 370913857
+ .long 3210587105
+ .long 2677381210
+ .long 3216320731
+ .long 4172642429
+ .long 1056068382
+ .long 1215221451
+ .long 1069835102
+ .long 1092638156
+ .long 3184925618
+ .type coeff,@object
+ .size coeff,96
+ .align 16
+L_tbl:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 536870912
+ .long 1072689162
+ .long 2523013013
+ .long 1046157398
+ .long 3758096384
+ .long 1072685081
+ .long 3851513758
+ .long 3190968952
+ .long 0
+ .long 1072681007
+ .long 2241466466
+ .long 1046044599
+ .long 3221225472
+ .long 1072676937
+ .long 2990928271
+ .long 3193084984
+ .long 3758096384
+ .long 1072672873
+ .long 2905112743
+ .long 3192918576
+ .long 1610612736
+ .long 1072668815
+ .long 3370591264
+ .long 1046051793
+ .long 2147483648
+ .long 1072664762
+ .long 3272361216
+ .long 3193793653
+ .long 3758096384
+ .long 1072660714
+ .long 46546755
+ .long 1043206936
+ .long 3221225472
+ .long 1072656672
+ .long 3017067724
+ .long 3192177962
+ .long 0
+ .long 1072652636
+ .long 3688436631
+ .long 3192814956
+ .long 2684354560
+ .long 1072648604
+ .long 1707461992
+ .long 3193056712
+ .long 2684354560
+ .long 1072644578
+ .long 1188114540
+ .long 3193603086
+ .long 3758096384
+ .long 1072640557
+ .long 3533180564
+ .long 1045459375
+ .long 2684354560
+ .long 1072636542
+ .long 2000337630
+ .long 3193475557
+ .long 2684354560
+ .long 1072632532
+ .long 3698062443
+ .long 3193752766
+ .long 3758096384
+ .long 1072628527
+ .long 3161606138
+ .long 3190532995
+ .long 2147483648
+ .long 1072624528
+ .long 3165265478
+ .long 3193158459
+ .long 1610612736
+ .long 1072620534
+ .long 1600940077
+ .long 3193226777
+ .long 2147483648
+ .long 1072616545
+ .long 1363272552
+ .long 3192614278
+ .long 3758096384
+ .long 1072612561
+ .long 3966209910
+ .long 3191249654
+ .long 2147483648
+ .long 1072608583
+ .long 1093672789
+ .long 3190637330
+ .long 1610612736
+ .long 1072604610
+ .long 1735239357
+ .long 3192753616
+ .long 1610612736
+ .long 1072600642
+ .long 1470665156
+ .long 1045559697
+ .long 2684354560
+ .long 1072596679
+ .long 3840624926
+ .long 1045928953
+ .long 536870912
+ .long 1072592722
+ .long 4259072556
+ .long 3191035622
+ .long 3221225472
+ .long 1072588769
+ .long 3613088753
+ .long 3192165681
+ .long 2147483648
+ .long 1072584822
+ .long 3175234446
+ .long 1039486948
+ .long 1610612736
+ .long 1072580880
+ .long 856576441
+ .long 1045702812
+ .long 2147483648
+ .long 1072576943
+ .long 2253498719
+ .long 3193285334
+ .long 2684354560
+ .long 1072573011
+ .long 1587070728
+ .long 3190801577
+ .long 3758096384
+ .long 1072569084
+ .long 159986317
+ .long 1042519436
+ .long 1073741824
+ .long 1072565163
+ .long 3999541949
+ .long 3192020440
+ .long 2684354560
+ .long 1072561246
+ .long 3281310262
+ .long 1045586786
+ .long 536870912
+ .long 1072557335
+ .long 3775179406
+ .long 1045226055
+ .long 3221225472
+ .long 1072553428
+ .long 643472356
+ .long 3193681786
+ .long 1073741824
+ .long 1072549527
+ .long 248169775
+ .long 1045068977
+ .long 3758096384
+ .long 1072545630
+ .long 307016632
+ .long 1042640932
+ .long 2147483648
+ .long 1072541739
+ .long 3872718526
+ .long 3189781486
+ .long 536870912
+ .long 1072537853
+ .long 969711630
+ .long 3191724732
+ .long 3221225472
+ .long 1072533971
+ .long 4018820394
+ .long 3193189264
+ .long 1073741824
+ .long 1072530095
+ .long 3102233092
+ .long 1045510224
+ .long 3758096384
+ .long 1072526223
+ .long 1029307912
+ .long 3193812776
+ .long 1073741824
+ .long 1072522357
+ .long 984083153
+ .long 1045987403
+ .long 3221225472
+ .long 1072518495
+ .long 4171455401
+ .long 3193084080
+ .long 0
+ .long 1072514639
+ .long 2592660757
+ .long 1046121691
+ .long 1073741824
+ .long 1072510787
+ .long 2964365712
+ .long 1046054453
+ .long 2147483648
+ .long 1072506940
+ .long 3792777877
+ .long 3193704729
+ .long 2147483648
+ .long 1072503098
+ .long 2948536104
+ .long 3192467100
+ .long 1610612736
+ .long 1072499261
+ .long 3836005619
+ .long 1041873166
+ .long 536870912
+ .long 1072495429
+ .long 3124543160
+ .long 1044409168
+ .long 3221225472
+ .long 1072491601
+ .long 286227933
+ .long 1041065990
+ .long 1073741824
+ .long 1072487779
+ .long 2111296776
+ .long 3193604419
+ .long 2147483648
+ .long 1072483961
+ .long 2606822001
+ .long 3192940394
+ .long 2147483648
+ .long 1072480148
+ .long 194696800
+ .long 1046026063
+ .long 1610612736
+ .long 1072476340
+ .long 8535452
+ .long 1046200178
+ .long 536870912
+ .long 1072472537
+ .long 950463625
+ .long 3192731897
+ .long 2147483648
+ .long 1072468738
+ .long 973831566
+ .long 1045683197
+ .long 3221225472
+ .long 1072464944
+ .long 3330435892
+ .long 3190277577
+ .long 3221225472
+ .long 1072461155
+ .long 208692097
+ .long 3193517651
+ .long 1610612736
+ .long 1072457371
+ .long 2113097415
+ .long 1044781749
+ .long 3758096384
+ .long 1072453591
+ .long 1088808936
+ .long 3193716142
+ .long 0
+ .long 1072449817
+ .long 1443002127
+ .long 3193250205
+ .long 3221225472
+ .long 1072446046
+ .long 3967357419
+ .long 1046109477
+ .long 1610612736
+ .long 1072442281
+ .long 3013517861
+ .long 3193159691
+ .long 2147483648
+ .long 1072438520
+ .long 2524586286
+ .long 1046121951
+ .long 1610612736
+ .long 1072434764
+ .long 1476892861
+ .long 1046434731
+ .long 0
+ .long 1072431013
+ .long 3089640950
+ .long 3192305780
+ .long 536870912
+ .long 1072427266
+ .long 3812255529
+ .long 1045730879
+ .long 0
+ .long 1072423524
+ .long 995354762
+ .long 3191528673
+ .long 1610612736
+ .long 1072419786
+ .long 3260567684
+ .long 1046273695
+ .long 2147483648
+ .long 1072416053
+ .long 2738210286
+ .long 3191471516
+ .long 536870912
+ .long 1072412325
+ .long 1931849805
+ .long 1044560405
+ .long 1610612736
+ .long 1072408601
+ .long 358896655
+ .long 1044029237
+ .long 1073741824
+ .long 1072404882
+ .long 2214589842
+ .long 3193202126
+ .long 2684354560
+ .long 1072401167
+ .long 3118097363
+ .long 3192592906
+ .long 2147483648
+ .long 1072397457
+ .long 1835998884
+ .long 1045788247
+ .long 0
+ .long 1072393752
+ .long 1585488319
+ .long 1045289910
+ .long 0
+ .long 1072390051
+ .long 480160949
+ .long 1046030455
+ .long 2684354560
+ .long 1072386354
+ .long 1832959667
+ .long 3193013644
+ .long 2684354560
+ .long 1072382662
+ .long 3611346555
+ .long 1044544210
+ .long 1073741824
+ .long 1072378975
+ .long 2749418734
+ .long 3193712580
+ .long 1073741824
+ .long 1072375292
+ .long 2390043472
+ .long 3191710658
+ .long 3221225472
+ .long 1072371613
+ .long 2828199902
+ .long 1042265217
+ .long 3221225472
+ .long 1072367939
+ .long 569209321
+ .long 3191230982
+ .long 536870912
+ .long 1072364270
+ .long 236159139
+ .long 1046240123
+ .long 536870912
+ .long 1072360605
+ .long 1010656270
+ .long 3193813968
+ .long 1610612736
+ .long 1072356944
+ .long 2409080597
+ .long 1044025029
+ .long 536870912
+ .long 1072353288
+ .long 598419513
+ .long 1043327370
+ .long 1073741824
+ .long 1072349636
+ .long 4105950479
+ .long 1045747958
+ .long 3758096384
+ .long 1072345988
+ .long 343243853
+ .long 3192420172
+ .long 3221225472
+ .long 1072342345
+ .long 2088439530
+ .long 1046172091
+ .long 536870912
+ .long 1072338707
+ .long 4117721107
+ .long 1043882496
+ .long 3758096384
+ .long 1072335072
+ .long 3192032958
+ .long 3192998645
+ .long 3758096384
+ .long 1072331442
+ .long 2366522518
+ .long 1045401957
+ .long 1610612736
+ .long 1072327817
+ .long 3685533141
+ .long 3193701947
+ .long 536870912
+ .long 1072324196
+ .long 1058658672
+ .long 3193572492
+ .long 536870912
+ .long 1072320579
+ .long 166346347
+ .long 1045456348
+ .long 2147483648
+ .long 1072316966
+ .long 2027889772
+ .long 1046349302
+ .long 1073741824
+ .long 1072313358
+ .long 1079497888
+ .long 1044585259
+ .long 1073741824
+ .long 1072309754
+ .long 2189851573
+ .long 1045132990
+ .long 2684354560
+ .long 1072306154
+ .long 2486629386
+ .long 3193613625
+ .long 536870912
+ .long 1072302559
+ .long 1263686579
+ .long 1044789259
+ .long 0
+ .long 1072298968
+ .long 2412061798
+ .long 3191369627
+ .long 536870912
+ .long 1072295381
+ .long 584315716
+ .long 3193144135
+ .long 1610612736
+ .long 1072291798
+ .long 449000738
+ .long 1046330451
+ .long 0
+ .long 1072288220
+ .long 3938320157
+ .long 1044446220
+ .long 3758096384
+ .long 1072284645
+ .long 2949844595
+ .long 3193462371
+ .long 3758096384
+ .long 1072281075
+ .long 2771329642
+ .long 3192121593
+ .long 536870912
+ .long 1072277510
+ .long 3971508621
+ .long 3193002806
+ .long 2147483648
+ .long 1072273948
+ .long 4071942301
+ .long 1044952619
+ .long 536870912
+ .long 1072270391
+ .long 2090502395
+ .long 1044660556
+ .long 0
+ .long 1072266838
+ .long 3657520961
+ .long 3193770938
+ .long 3758096384
+ .long 1072263288
+ .long 1608175110
+ .long 1045543239
+ .long 0
+ .long 1072259744
+ .long 2506924180
+ .long 1045530501
+ .long 1073741824
+ .long 1072256203
+ .long 18238493
+ .long 1046305623
+ .long 3221225472
+ .long 1072252666
+ .long 3862640487
+ .long 3192882407
+ .long 1073741824
+ .long 1072249134
+ .long 3850158761
+ .long 1043656099
+ .long 3758096384
+ .long 1072245605
+ .long 2356524356
+ .long 1045915296
+ .long 3221225472
+ .long 1072242081
+ .long 936497287
+ .long 3193842353
+ .long 2147483648
+ .long 1072238561
+ .long 2840845344
+ .long 1046454771
+ .long 2147483648
+ .long 1072235045
+ .long 3688100713
+ .long 1044895451
+ .long 2684354560
+ .long 1072231533
+ .long 479979913
+ .long 3193842442
+ .long 2684354560
+ .long 1072228025
+ .long 1016321898
+ .long 1046251032
+ .long 3758096384
+ .long 1072224521
+ .long 562232474
+ .long 3191974558
+ .long 536870912
+ .long 1072221022
+ .long 3870512029
+ .long 3193113881
+ .long 1610612736
+ .long 1072217526
+ .long 1239780547
+ .long 3191583604
+ .long 2684354560
+ .long 1072214034
+ .long 2815421327
+ .long 1045873682
+ .long 0
+ .long 1072210547
+ .long 2371009561
+ .long 1041508792
+ .long 1610612736
+ .long 1072207063
+ .long 1304636524
+ .long 3192414284
+ .long 3221225472
+ .long 1072203583
+ .long 210144854
+ .long 3193327333
+ .long 0
+ .long 1072200108
+ .long 1454303272
+ .long 1046360024
+ .long 1610612736
+ .long 1072196636
+ .long 2095757548
+ .long 1044984677
+ .long 3221225472
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+ .long 1070949108
+ .long 3003572392
+ .long 1046404879
+ .long 3221225472
+ .long 1070938808
+ .long 1702149204
+ .long 1046407257
+ .long 2147483648
+ .long 1070928526
+ .long 3935314439
+ .long 1046438280
+ .long 3221225472
+ .long 1070918261
+ .long 2677087609
+ .long 1045501749
+ .long 2147483648
+ .long 1070908014
+ .long 4190598039
+ .long 3193640515
+ .long 1073741824
+ .long 1070897784
+ .long 368874072
+ .long 1044879927
+ .long 2147483648
+ .long 1070887571
+ .long 3584052697
+ .long 3192024662
+ .long 3221225472
+ .long 1070877375
+ .long 3762307829
+ .long 1045886918
+ .long 1073741824
+ .long 1070867197
+ .long 495710920
+ .long 1046317072
+ .long 0
+ .long 1070857036
+ .long 2292768238
+ .long 3190887508
+ .long 3221225472
+ .long 1070846891
+ .long 1044078151
+ .long 3193772914
+ .long 1073741824
+ .long 1070836764
+ .long 3266010457
+ .long 1043443755
+ .long 3221225472
+ .long 1070826653
+ .long 3571665822
+ .long 1045547823
+ .long 1073741824
+ .long 1070816560
+ .long 393348347
+ .long 3190525143
+ .long 2147483648
+ .long 1070806483
+ .long 4241722498
+ .long 3192084193
+ .long 2147483648
+ .long 1070796423
+ .long 1693797068
+ .long 3192807972
+ .long 0
+ .long 1070786380
+ .long 2860086745
+ .long 1046331646
+ .long 2147483648
+ .long 1070776353
+ .long 1366141759
+ .long 3192979363
+ .long 1073741824
+ .long 1070766343
+ .long 737899283
+ .long 1045853346
+ .long 3221225472
+ .long 1070756349
+ .long 88734873
+ .long 1043881257
+ .long 3221225472
+ .long 1070746372
+ .long 1438003315
+ .long 3192917101
+ .long 0
+ .long 1070736412
+ .long 1066505530
+ .long 1043896695
+ .long 3221225472
+ .long 1070726467
+ .long 2706653041
+ .long 3191113643
+ .long 3221225472
+ .long 1070716539
+ .long 1321764476
+ .long 1039573724
+ .long 0
+ .long 1070706628
+ .long 1126753211
+ .long 1044502976
+ .long 2147483648
+ .long 1070696732
+ .long 773642884
+ .long 1044110727
+ .long 1073741824
+ .long 1070686853
+ .long 1263743406
+ .long 3193115278
+ .long 0
+ .long 1070676990
+ .long 3115237732
+ .long 3193089176
+ .long 3221225472
+ .long 1070667142
+ .long 3642626838
+ .long 3191146032
+ .long 2147483648
+ .long 1070657311
+ .long 2091696428
+ .long 1044337177
+ .long 1073741824
+ .long 1070647496
+ .long 3168958391
+ .long 1044197568
+ .long 0
+ .long 1070637697
+ .long 711148669
+ .long 3193181047
+ .long 2147483648
+ .long 1070627913
+ .long 4207182773
+ .long 3193402092
+ .long 3221225472
+ .long 1070618145
+ .long 918070640
+ .long 3192902845
+ .long 3221225472
+ .long 1070608393
+ .long 3135571447
+ .long 3192193928
+ .long 2147483648
+ .long 1070598657
+ .long 1043705517
+ .long 3193188604
+ .long 2147483648
+ .long 1070581777
+ .long 1886680492
+ .long 1043890286
+ .long 2147483648
+ .long 1070562367
+ .long 3373799420
+ .long 3191917802
+ .long 2147483648
+ .long 1070542988
+ .long 2919618025
+ .long 3192461752
+ .long 2147483648
+ .long 1070523640
+ .long 2926365158
+ .long 3193113492
+ .long 0
+ .long 1070504323
+ .long 519978638
+ .long 1045918846
+ .long 0
+ .long 1070485037
+ .long 3665353151
+ .long 3193546248
+ .long 0
+ .long 1070465781
+ .long 2327718958
+ .long 1045050797
+ .long 0
+ .long 1070446556
+ .long 345326861
+ .long 3188224716
+ .long 2147483648
+ .long 1070427361
+ .long 2263747488
+ .long 3192871328
+ .long 0
+ .long 1070408197
+ .long 3894192264
+ .long 1045693123
+ .long 0
+ .long 1070389063
+ .long 994321593
+ .long 1046347203
+ .long 2147483648
+ .long 1070369959
+ .long 3540366700
+ .long 1042296230
+ .long 0
+ .long 1070350886
+ .long 966420752
+ .long 3192400412
+ .long 2147483648
+ .long 1070331842
+ .long 1954511160
+ .long 3193467762
+ .long 2147483648
+ .long 1070312828
+ .long 1875003040
+ .long 1045485629
+ .long 0
+ .long 1070293845
+ .long 4003372005
+ .long 3193714109
+ .long 2147483648
+ .long 1070274890
+ .long 2216083644
+ .long 1045720399
+ .long 0
+ .long 1070255966
+ .long 1240985743
+ .long 1045879414
+ .long 0
+ .long 1070237071
+ .long 1573064162
+ .long 1046427916
+ .long 0
+ .long 1070218206
+ .long 2500166582
+ .long 3193848169
+ .long 2147483648
+ .long 1070199369
+ .long 862131539
+ .long 1045606065
+ .long 0
+ .long 1070180563
+ .long 3733427622
+ .long 3193545988
+ .long 0
+ .long 1070161785
+ .long 124515358
+ .long 1045504766
+ .long 2147483648
+ .long 1070143036
+ .long 689228007
+ .long 1044238436
+ .long 0
+ .long 1070124317
+ .long 976284835
+ .long 3189879978
+ .long 2147483648
+ .long 1070105626
+ .long 2997446224
+ .long 3193394244
+ .long 2147483648
+ .long 1070086964
+ .long 594985163
+ .long 3190453447
+ .long 2147483648
+ .long 1070068331
+ .long 3634411091
+ .long 3193012662
+ .long 0
+ .long 1070049727
+ .long 841316482
+ .long 3192551604
+ .long 0
+ .long 1070031151
+ .long 518949849
+ .long 3189505693
+ .long 2147483648
+ .long 1070012603
+ .long 207633604
+ .long 1043791305
+ .long 2147483648
+ .long 1069994084
+ .long 925415631
+ .long 3189658670
+ .long 2147483648
+ .long 1069975593
+ .long 3348775015
+ .long 1046231055
+ .long 0
+ .long 1069957131
+ .long 4137593961
+ .long 1045760644
+ .long 2147483648
+ .long 1069938696
+ .long 3081207972
+ .long 1046319652
+ .long 2147483648
+ .long 1069920290
+ .long 2912811806
+ .long 3193250863
+ .long 0
+ .long 1069901912
+ .long 1704663230
+ .long 3192651171
+ .long 2147483648
+ .long 1069883561
+ .long 1726887473
+ .long 3193427817
+ .long 2147483648
+ .long 1069865238
+ .long 516302873
+ .long 1042556919
+ .long 2147483648
+ .long 1069846943
+ .long 3737277289
+ .long 3192083505
+ .long 0
+ .long 1069828676
+ .long 2829909067
+ .long 3191628520
+ .long 0
+ .long 1069810436
+ .long 3474800299
+ .long 3187384991
+ .long 2147483648
+ .long 1069792223
+ .long 2041291754
+ .long 3186735048
+ .long 2147483648
+ .long 1069774038
+ .long 3100739290
+ .long 3192991951
+ .long 2147483648
+ .long 1069755880
+ .long 2641686866
+ .long 1042449846
+ .long 0
+ .long 1069737750
+ .long 1353612457
+ .long 3192928544
+ .long 2147483648
+ .long 1069719646
+ .long 1823398190
+ .long 3193125156
+ .long 0
+ .long 1069701570
+ .long 2629108558
+ .long 3192983089
+ .long 2147483648
+ .long 1069683520
+ .long 314889080
+ .long 3193178947
+ .long 2147483648
+ .long 1069665497
+ .long 3426846470
+ .long 1046055034
+ .long 0
+ .long 1069647502
+ .long 2451521798
+ .long 3193081447
+ .long 2147483648
+ .long 1069629532
+ .long 963200030
+ .long 1046315089
+ .long 0
+ .long 1069611590
+ .long 3644976987
+ .long 1046450297
+ .long 2147483648
+ .long 1069593674
+ .long 1514045874
+ .long 3193337489
+ .long 0
+ .long 1069575785
+ .long 2640752615
+ .long 3192734715
+ .long 0
+ .long 1069557922
+ .long 177381730
+ .long 3193107348
+ .long 0
+ .long 1069532650
+ .long 546871269
+ .long 1045601847
+ .long 0
+ .long 1069497029
+ .long 2220408187
+ .long 1045964849
+ .long 0
+ .long 1069461461
+ .long 3101209784
+ .long 3192417098
+ .long 0
+ .long 1069425944
+ .long 3768825782
+ .long 1046196178
+ .long 0
+ .long 1069390480
+ .long 737308942
+ .long 1043872555
+ .long 0
+ .long 1069355068
+ .long 1944808119
+ .long 3193362317
+ .long 0
+ .long 1069319707
+ .long 852406261
+ .long 3191004250
+ .long 0
+ .long 1069284398
+ .long 3202370743
+ .long 3192549796
+ .long 0
+ .long 1069249140
+ .long 900633975
+ .long 1043862575
+ .long 0
+ .long 1069213934
+ .long 3417168564
+ .long 3193213168
+ .long 0
+ .long 1069178778
+ .long 2513309972
+ .long 1046051953
+ .long 0
+ .long 1069143674
+ .long 1836846968
+ .long 1044036653
+ .long 0
+ .long 1069108621
+ .long 675391362
+ .long 3193334972
+ .long 0
+ .long 1069073618
+ .long 1859398086
+ .long 3191668729
+ .long 0
+ .long 1069038666
+ .long 3835994043
+ .long 3193252196
+ .long 0
+ .long 1069003764
+ .long 563337246
+ .long 3192060530
+ .long 0
+ .long 1068968912
+ .long 3715154210
+ .long 1045592716
+ .long 0
+ .long 1068934111
+ .long 51415636
+ .long 3192193939
+ .long 0
+ .long 1068899359
+ .long 822049108
+ .long 1045846080
+ .long 0
+ .long 1068864658
+ .long 3739043340
+ .long 3193184949
+ .long 0
+ .long 1068830006
+ .long 2500828997
+ .long 3193115638
+ .long 0
+ .long 1068795403
+ .long 1479335089
+ .long 1045458233
+ .long 0
+ .long 1068760850
+ .long 1914098598
+ .long 1045079833
+ .long 0
+ .long 1068726346
+ .long 1470374909
+ .long 1046125471
+ .long 0
+ .long 1068691892
+ .long 2048101185
+ .long 3192960024
+ .long 0
+ .long 1068657486
+ .long 801101802
+ .long 1042523454
+ .long 0
+ .long 1068623129
+ .long 412171467
+ .long 1044799425
+ .long 0
+ .long 1068588821
+ .long 2124566049
+ .long 1040459843
+ .long 0
+ .long 1068554561
+ .long 2087558263
+ .long 1046083102
+ .long 0
+ .long 1068520350
+ .long 290389316
+ .long 1045220023
+ .long 0
+ .long 1068473430
+ .long 393737815
+ .long 1045770085
+ .long 0
+ .long 1068405202
+ .long 3273111658
+ .long 3193594336
+ .long 0
+ .long 1068337068
+ .long 3076935419
+ .long 3191993934
+ .long 0
+ .long 1068269030
+ .long 1564279721
+ .long 1040713632
+ .long 0
+ .long 1068201088
+ .long 1950103787
+ .long 3191285473
+ .long 0
+ .long 1068133240
+ .long 111301617
+ .long 1046140470
+ .long 0
+ .long 1068065488
+ .long 2740933659
+ .long 1046091898
+ .long 0
+ .long 1067997832
+ .long 1267131462
+ .long 3192947024
+ .long 0
+ .long 1067930268
+ .long 629787343
+ .long 1045599114
+ .long 0
+ .long 1067862800
+ .long 2943029746
+ .long 3191100621
+ .long 0
+ .long 1067795426
+ .long 2538631151
+ .long 3193953989
+ .long 0
+ .long 1067728144
+ .long 3881795033
+ .long 3191377363
+ .long 0
+ .long 1067660956
+ .long 2752747058
+ .long 3186250103
+ .long 0
+ .long 1067593862
+ .long 892170014
+ .long 3193330390
+ .long 0
+ .long 1067526860
+ .long 2000985783
+ .long 3192968647
+ .long 0
+ .long 1067459950
+ .long 1954077304
+ .long 1044399908
+ .long 0
+ .long 1067335900
+ .long 4120702847
+ .long 3193150730
+ .long 0
+ .long 1067202448
+ .long 353489980
+ .long 1045676744
+ .long 0
+ .long 1067069184
+ .long 2609643324
+ .long 3192108001
+ .long 0
+ .long 1066936100
+ .long 2904433317
+ .long 1044836541
+ .long 0
+ .long 1066803200
+ .long 319656790
+ .long 1044863904
+ .long 0
+ .long 1066670484
+ .long 2407987331
+ .long 3192995083
+ .long 0
+ .long 1066537948
+ .long 2437746120
+ .long 3193127733
+ .long 0
+ .long 1066405592
+ .long 762570215
+ .long 3189946997
+ .long 0
+ .long 1066145040
+ .long 3317159694
+ .long 1046060125
+ .long 0
+ .long 1065881056
+ .long 2317845886
+ .long 3191679176
+ .long 0
+ .long 1065617424
+ .long 3665195816
+ .long 1045633853
+ .long 0
+ .long 1065354160
+ .long 2008730355
+ .long 3193898211
+ .long 0
+ .long 1064829264
+ .long 3746236192
+ .long 1046121471
+ .long 0
+ .long 1064303680
+ .long 885296753
+ .long 3191852441
+ .long 0
+ .long 1063253696
+ .long 449976495
+ .long 3192682663
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .type L_tbl,@object
+ .size L_tbl,8208
+ .space 496, 0x00 # pad
+ .align 16
+HIGHMASK_Y:
+ .long 0
+ .long 4294967288
+ .long 0
+ .long 4294967295
+ .type HIGHMASK_Y,@object
+ .size HIGHMASK_Y,16
+ .align 16
+T_exp:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 997195776
+ .long 4200250559
+ .long 1072696090
+ .long 2808127345
+ .long 3162830514
+ .long 2851812149
+ .long 1072698941
+ .long 2595802551
+ .long 1016815913
+ .long 339411585
+ .long 1072701800
+ .long 264588982
+ .long 3162685233
+ .long 1048019041
+ .long 1072704666
+ .long 1398474845
+ .long 3161559171
+ .long 772914124
+ .long 1072707540
+ .long 4004372762
+ .long 1013278737
+ .long 3899555717
+ .long 1072710421
+ .long 427280750
+ .long 3163595548
+ .long 1928746161
+ .long 1072713311
+ .long 983617676
+ .long 1015333753
+ .long 3541402996
+ .long 1072716208
+ .long 2759177317
+ .long 1015903202
+ .long 238821257
+ .long 1072719114
+ .long 1469694871
+ .long 3163933563
+ .long 702412510
+ .long 1072722027
+ .long 3803266087
+ .long 3163328991
+ .long 728934454
+ .long 1072724948
+ .long 1413842688
+ .long 1015227188
+ .long 410360776
+ .long 1072727877
+ .long 1269990655
+ .long 1013024446
+ .long 4133881824
+ .long 1072730813
+ .long 2148155345
+ .long 3163979875
+ .long 3402036099
+ .long 1072733758
+ .long 405889334
+ .long 1016154232
+ .long 2602514713
+ .long 1072736711
+ .long 2268929336
+ .long 1015402860
+ .long 1828292879
+ .long 1072739672
+ .long 1255956747
+ .long 1016636974
+ .long 1172597893
+ .long 1072742641
+ .long 114433263
+ .long 1016396169
+ .long 728909815
+ .long 1072745618
+ .long 383930225
+ .long 1016078044
+ .long 590962156
+ .long 1072748603
+ .long 3829346666
+ .long 3164324173
+ .long 852742562
+ .long 1072751596
+ .long 667253586
+ .long 1010842135
+ .long 1608493509
+ .long 1072754597
+ .long 3159622171
+ .long 3163856313
+ .long 2952712987
+ .long 1072757606
+ .long 3293494651
+ .long 3161168877
+ .long 685187902
+ .long 1072760624
+ .long 378731989
+ .long 1015891691
+ .long 3490863953
+ .long 1072763649
+ .long 960797498
+ .long 3163997456
+ .long 2875075254
+ .long 1072766683
+ .long 4144233330
+ .long 3164382292
+ .long 3228316108
+ .long 1072769725
+ .long 3010241991
+ .long 3159471380
+ .long 351405227
+ .long 1072772776
+ .long 3125337328
+ .long 3160871055
+ .long 2930322912
+ .long 1072775834
+ .long 2599499422
+ .long 3163762623
+ .long 2471440686
+ .long 1072778901
+ .long 968836267
+ .long 3163263464
+ .long 3366293073
+ .long 1072781976
+ .long 3119426314
+ .long 1015169130
+ .long 1416741826
+ .long 1072785060
+ .long 2196380210
+ .long 1012462139
+ .long 1014845819
+ .long 1072788152
+ .long 3117910646
+ .long 3162607681
+ .long 2257959872
+ .long 1072791252
+ .long 3802946148
+ .long 1014013503
+ .long 948735466
+ .long 1072794361
+ .long 3516338028
+ .long 3163623459
+ .long 1480023343
+ .long 1072797478
+ .long 2247196168
+ .long 1016376029
+ .long 3949972341
+ .long 1072800603
+ .long 2068408548
+ .long 1015962444
+ .long 4162030108
+ .long 1072803737
+ .long 2763428480
+ .long 1016577925
+ .long 2214878420
+ .long 1072806880
+ .long 892270087
+ .long 3164164998
+ .long 2502433899
+ .long 1072810031
+ .long 2148595913
+ .long 1016072567
+ .long 828946858
+ .long 1072813191
+ .long 10642492
+ .long 1016988014
+ .long 1588871207
+ .long 1072816359
+ .long 143439582
+ .long 3164011992
+ .long 586995997
+ .long 1072819536
+ .long 41662348
+ .long 3163676568
+ .long 2218315341
+ .long 1072822721
+ .long 2694295388
+ .long 3164337444
+ .long 2288159958
+ .long 1072825915
+ .long 2169144469
+ .long 1015924597
+ .long 897099801
+ .long 1072829118
+ .long 754756297
+ .long 1016289581
+ .long 2440944790
+ .long 1072832329
+ .long 2492769774
+ .long 1015196030
+ .long 2725843665
+ .long 1072835549
+ .long 1433917087
+ .long 1015887099
+ .long 1853186616
+ .long 1072838778
+ .long 3066496371
+ .long 1016705150
+ .long 4219606026
+ .long 1072842015
+ .long 2434574742
+ .long 1015730124
+ .long 1337108031
+ .long 1072845262
+ .long 3203724452
+ .long 1015726421
+ .long 1897844341
+ .long 1072848517
+ .long 1254300460
+ .long 1016324514
+ .long 1709341917
+ .long 1072851781
+ .long 2571168217
+ .long 1015201075
+ .long 874372905
+ .long 1072855054
+ .long 100263788
+ .long 1016989308
+ .long 3790955393
+ .long 1072858335
+ .long 2352942462
+ .long 3164228666
+ .long 1972484976
+ .long 1072861626
+ .long 675290301
+ .long 3162688626
+ .long 4112506593
+ .long 1072864925
+ .long 2947355221
+ .long 1015419624
+ .long 1724976915
+ .long 1072868234
+ .long 420909223
+ .long 3164165955
+ .long 3504003472
+ .long 1072871551
+ .long 3594001060
+ .long 3158379228
+ .long 964107055
+ .long 1072874878
+ .long 2800439588
+ .long 3163881797
+ .long 2799960843
+ .long 1072878213
+ .long 1423655381
+ .long 1016070727
+ .long 526652809
+ .long 1072881558
+ .long 4223459736
+ .long 1016927951
+ .long 2839424854
+ .long 1072884911
+ .long 1171596163
+ .long 1014090255
+ .long 1253935211
+ .long 1072888274
+ .long 1395382931
+ .long 3160751189
+ .long 171030293
+ .long 1072891646
+ .long 3526460132
+ .long 1015477354
+ .long 3991843581
+ .long 1072895026
+ .long 4092853457
+ .long 1015634339
+ .long 4232894513
+ .long 1072898416
+ .long 2383938684
+ .long 1015717095
+ .long 1000925746
+ .long 1072901816
+ .long 1018491672
+ .long 3164358120
+ .long 2992903935
+ .long 1072905224
+ .long 2218154406
+ .long 1016276769
+ .long 1726216749
+ .long 1072908642
+ .long 2466808228
+ .long 3162724981
+ .long 1603444721
+ .long 1072912069
+ .long 1548633640
+ .long 3163249902
+ .long 2732492859
+ .long 1072915505
+ .long 2691479646
+ .long 3163304260
+ .long 926591435
+ .long 1072918951
+ .long 3208833762
+ .long 3163962090
+ .long 589198666
+ .long 1072922406
+ .long 2664346172
+ .long 3164206538
+ .long 1829099622
+ .long 1072925870
+ .long 1016661181
+ .long 3164509581
+ .long 460407023
+ .long 1072929344
+ .long 4237175092
+ .long 3164187045
+ .long 887463927
+ .long 1072932827
+ .long 3596744163
+ .long 3161842742
+ .long 3219942644
+ .long 1072936319
+ .long 3798990616
+ .long 1016417382
+ .long 3272845541
+ .long 1072939821
+ .long 928852419
+ .long 3164536824
+ .long 1156440435
+ .long 1072943333
+ .long 2351451249
+ .long 1015015632
+ .long 1276261410
+ .long 1072946854
+ .long 300981948
+ .long 1015732745
+ .long 3743175029
+ .long 1072950384
+ .long 2072812490
+ .long 3163223651
+ .long 78413852
+ .long 1072953925
+ .long 4183226867
+ .long 3164065827
+ .long 3278348324
+ .long 1072957474
+ .long 3069497416
+ .long 1015799288
+ .long 569847338
+ .long 1072961034
+ .long 472945272
+ .long 3160339305
+ .long 654919306
+ .long 1072964603
+ .long 3232961757
+ .long 3164096045
+ .long 3645941911
+ .long 1072968181
+ .long 3814685081
+ .long 3162621917
+ .long 1065662932
+ .long 1072971770
+ .long 2533670915
+ .long 1015578814
+ .long 1617004845
+ .long 1072975368
+ .long 82804944
+ .long 1011391354
+ .long 1118294578
+ .long 1072978976
+ .long 2197495694
+ .long 3160957977
+ .long 3978100823
+ .long 1072982593
+ .long 3513027190
+ .long 1016894539
+ .long 1720398391
+ .long 1072986221
+ .long 3980678963
+ .long 3164348656
+ .long 3049340112
+ .long 1072989858
+ .long 3062915824
+ .long 1014219171
+ .long 3784486610
+ .long 1072993505
+ .long 1581883040
+ .long 3162747529
+ .long 4040676318
+ .long 1072997162
+ .long 4090609238
+ .long 1016712034
+ .long 3933059031
+ .long 1073000829
+ .long 2133366768
+ .long 3162580408
+ .long 3577096743
+ .long 1073004506
+ .long 2951496418
+ .long 1014842263
+ .long 3088564500
+ .long 1073008193
+ .long 1762311517
+ .long 1016094249
+ .long 2583551245
+ .long 1073011890
+ .long 3161094195
+ .long 1016655067
+ .long 2178460671
+ .long 1073015597
+ .long 777878098
+ .long 3163891069
+ .long 1990012071
+ .long 1073019314
+ .long 3529070563
+ .long 3163861769
+ .long 2135241198
+ .long 1073023041
+ .long 1236747871
+ .long 1014637723
+ .long 2731501122
+ .long 1073026778
+ .long 1774031855
+ .long 3163518597
+ .long 3896463087
+ .long 1073030525
+ .long 1139797873
+ .long 3162282381
+ .long 1453150082
+ .long 1073034283
+ .long 498154669
+ .long 3162536638
+ .long 4109806887
+ .long 1073038050
+ .long 422403966
+ .long 1015517805
+ .long 3395129871
+ .long 1073041828
+ .long 4025345435
+ .long 3163383964
+ .long 3723038930
+ .long 1073045616
+ .long 378465264
+ .long 3163618158
+ .long 917841882
+ .long 1073049415
+ .long 18715565
+ .long 1016707884
+ .long 3689071823
+ .long 1073053223
+ .long 2321004996
+ .long 3163601292
+ .long 3566716925
+ .long 1073057042
+ .long 1536826856
+ .long 1015191009
+ .long 671025100
+ .long 1073060872
+ .long 3832014351
+ .long 3164070606
+ .long 3712504873
+ .long 1073064711
+ .long 88491949
+ .long 1016476236
+ .long 4222122499
+ .long 1073068561
+ .long 1277378074
+ .long 3164305313
+ .long 2321106615
+ .long 1073072422
+ .long 2171176610
+ .long 1010584347
+ .long 2425981843
+ .long 1073076293
+ .long 2830390851
+ .long 3164395175
+ .long 363667784
+ .long 1073080175
+ .long 813753950
+ .long 1016833785
+ .long 551349105
+ .long 1073084067
+ .long 3821916050
+ .long 3163155165
+ .long 3111574537
+ .long 1073087969
+ .long 2606161479
+ .long 3163808322
+ .long 3872257780
+ .long 1073091882
+ .long 1253592103
+ .long 1017006910
+ .long 2956612997
+ .long 1073095806
+ .long 2118169751
+ .long 3163784129
+ .long 488188413
+ .long 1073099741
+ .long 3199821029
+ .long 1016612624
+ .long 885834528
+ .long 1073103686
+ .long 1973258547
+ .long 3163310140
+ .long 4273770423
+ .long 1073107641
+ .long 3383180809
+ .long 3164267477
+ .long 2186617381
+ .long 1073111608
+ .long 2270764084
+ .long 3164321289
+ .long 3339203574
+ .long 1073115585
+ .long 1483497780
+ .long 3163457330
+ .long 3561793907
+ .long 1073119573
+ .long 1157054053
+ .long 1012938926
+ .long 2979960120
+ .long 1073123572
+ .long 2599109725
+ .long 1015547069
+ .long 1719614413
+ .long 1073127582
+ .long 330458198
+ .long 3164331316
+ .long 4201977662
+ .long 1073131602
+ .long 748330254
+ .long 1014642933
+ .long 1963711167
+ .long 1073135634
+ .long 1744767757
+ .long 3161622870
+ .long 3721688645
+ .long 1073139676
+ .long 3069276937
+ .long 1016887977
+ .long 1013258799
+ .long 1073143730
+ .long 1748797611
+ .long 3161177658
+ .long 2555984613
+ .long 1073147794
+ .long 2652555442
+ .long 3163601268
+ .long 4182873220
+ .long 1073151869
+ .long 629542646
+ .long 3163044879
+ .long 1727278727
+ .long 1073155956
+ .long 3562710623
+ .long 1012520516
+ .long 3907805044
+ .long 1073160053
+ .long 2257091225
+ .long 3162598983
+ .long 2263535754
+ .long 1073164162
+ .long 752233586
+ .long 3163687584
+ .long 1218806132
+ .long 1073168282
+ .long 1818613052
+ .long 3163597017
+ .long 903334909
+ .long 1073172413
+ .long 1636462108
+ .long 1016088573
+ .long 1447192521
+ .long 1073176555
+ .long 1462857171
+ .long 3163563097
+ .long 2980802057
+ .long 1073180708
+ .long 378619896
+ .long 1016821879
+ .long 1339972927
+ .long 1073184873
+ .long 167908909
+ .long 1016620728
+ .long 950803702
+ .long 1073189049
+ .long 1655364926
+ .long 1016285608
+ .long 1944781191
+ .long 1073193236
+ .long 3993278767
+ .long 3162772855
+ .long 158781403
+ .long 1073197435
+ .long 2221464712
+ .long 3164335029
+ .long 19972402
+ .long 1073201645
+ .long 3507899862
+ .long 1017057868
+ .long 1660913392
+ .long 1073205866
+ .long 4218599604
+ .long 1016184283
+ .long 919555682
+ .long 1073210099
+ .long 3121969534
+ .long 1013996802
+ .long 2224145553
+ .long 1073214343
+ .long 3482522030
+ .long 3162537745
+ .long 1413356050
+ .long 1073218599
+ .long 1651349291
+ .long 3163716742
+ .long 2916157145
+ .long 1073222866
+ .long 219487565
+ .long 1016357943
+ .long 2571947539
+ .long 1073227145
+ .long 3558159064
+ .long 3164425245
+ .long 515457527
+ .long 1073231436
+ .long 836709333
+ .long 1016699802
+ .long 1176749997
+ .long 1073235738
+ .long 2738998779
+ .long 3163084420
+ .long 396319521
+ .long 1073240052
+ .long 4172420816
+ .long 3160123208
+ .long 2604962541
+ .long 1073244377
+ .long 2614425274
+ .long 3164587768
+ .long 3643909174
+ .long 1073248714
+ .long 3537586109
+ .long 1015403223
+ .long 3649726105
+ .long 1073253063
+ .long 4085036346
+ .long 1016698050
+ .long 2759350287
+ .long 1073257424
+ .long 1148526634
+ .long 1016943509
+ .long 1110089947
+ .long 1073261797
+ .long 1451641639
+ .long 1016523249
+ .long 3134592888
+ .long 1073266181
+ .long 4232266862
+ .long 1017039710
+ .long 380978316
+ .long 1073270578
+ .long 854188970
+ .long 3161511262
+ .long 1577608921
+ .long 1073274986
+ .long 1875489510
+ .long 3164016970
+ .long 2568320822
+ .long 1073279406
+ .long 2732824428
+ .long 1015401491
+ .long 3492293770
+ .long 1073283838
+ .long 2248032210
+ .long 1016435402
+ .long 194117574
+ .long 1073288283
+ .long 777528612
+ .long 3164460665
+ .long 1403662306
+ .long 1073292739
+ .long 2788809599
+ .long 3162719583
+ .long 2966275557
+ .long 1073297207
+ .long 2176155324
+ .long 3160891335
+ .long 727685349
+ .long 1073301688
+ .long 2038246809
+ .long 3163407318
+ .long 3418903055
+ .long 1073306180
+ .long 2527457337
+ .long 3161869180
+ .long 2591453363
+ .long 1073310685
+ .long 2132396182
+ .long 3160122774
+ .long 2682146384
+ .long 1073315202
+ .long 2082178513
+ .long 3164411995
+ .long 3833209506
+ .long 1073319731
+ .long 2722920684
+ .long 1014803418
+ .long 1892288442
+ .long 1073324273
+ .long 2446255666
+ .long 3163648957
+ .long 1297350157
+ .long 1073328827
+ .long 1308022040
+ .long 3164461134
+ .long 2191782032
+ .long 1073333393
+ .long 2960257726
+ .long 1014791238
+ .long 424392917
+ .long 1073337972
+ .long 2749202995
+ .long 3163887294
+ .long 434316067
+ .long 1073342563
+ .long 2028358766
+ .long 1014506698
+ .long 2366108318
+ .long 1073347166
+ .long 2867985102
+ .long 3162810830
+ .long 2069751141
+ .long 1073351782
+ .long 1562170675
+ .long 3163773257
+ .long 3985553595
+ .long 1073356410
+ .long 4002146062
+ .long 1016882712
+ .long 3964284211
+ .long 1073361051
+ .long 2111583915
+ .long 1016475740
+ .long 2152073944
+ .long 1073365705
+ .long 1486860576
+ .long 3164252032
+ .long 2990417245
+ .long 1073370371
+ .long 3683467745
+ .long 3164417902
+ .long 2331271250
+ .long 1073375050
+ .long 812057446
+ .long 1013256022
+ .long 321958744
+ .long 1073379742
+ .long 3401933767
+ .long 1016843134
+ .long 1405169241
+ .long 1073384446
+ .long 2998539689
+ .long 3163879527
+ .long 1434058175
+ .long 1073389163
+ .long 251133233
+ .long 1016134345
+ .long 557149882
+ .long 1073393893
+ .long 3672720709
+ .long 1015585841
+ .long 3218338682
+ .long 1073398635
+ .long 3404164304
+ .long 3163525684
+ .long 977020788
+ .long 1073403391
+ .long 3065100517
+ .long 1016590139
+ .long 2572866477
+ .long 1073408159
+ .long 878562433
+ .long 1016570317
+ .long 3861050111
+ .long 1073412940
+ .long 254893773
+ .long 3163861756
+ .long 697153126
+ .long 1073417735
+ .long 1283515429
+ .long 3164331765
+ .long 1822067026
+ .long 1073422542
+ .long 1241994956
+ .long 1016388866
+ .long 3092190715
+ .long 1073427362
+ .long 814012168
+ .long 3160571998
+ .long 364333489
+ .long 1073432196
+ .long 3923737744
+ .long 3162469949
+ .long 2380618042
+ .long 1073437042
+ .long 3149557219
+ .long 3164369375
+ .long 703710506
+ .long 1073441902
+ .long 1384660846
+ .long 1016244467
+ .long 4076559943
+ .long 1073446774
+ .long 2119478331
+ .long 3161806927
+ .long 4062661092
+ .long 1073451660
+ .long 1422616006
+ .long 3164303894
+ .long 815859274
+ .long 1073456560
+ .long 240396590
+ .long 3164536019
+ .long 3080351519
+ .long 1073461472
+ .long 3379126789
+ .long 3158266577
+ .long 2420883922
+ .long 1073466398
+ .long 2049810052
+ .long 1015168464
+ .long 3287523847
+ .long 1073471337
+ .long 1625971539
+ .long 3158058531
+ .long 1540824585
+ .long 1073476290
+ .long 1064017011
+ .long 3164536266
+ .long 1631695677
+ .long 1073481256
+ .long 2717633076
+ .long 3163392602
+ .long 3716502172
+ .long 1073486235
+ .long 2303740125
+ .long 1015091301
+ .long 3657065772
+ .long 1073491228
+ .long 399025623
+ .long 3164005654
+ .long 1610600570
+ .long 1073496235
+ .long 3766732298
+ .long 1016808759
+ .long 2029714210
+ .long 1073501255
+ .long 613660079
+ .long 1016147719
+ .long 777507147
+ .long 1073506289
+ .long 4282924205
+ .long 1016236109
+ .long 2307442995
+ .long 1073511336
+ .long 3190117721
+ .long 3163453115
+ .long 2483480501
+ .long 1073516397
+ .long 1216371780
+ .long 1014082748
+ .long 1464976603
+ .long 1073521472
+ .long 3507292405
+ .long 3163026110
+ .long 3706687593
+ .long 1073526560
+ .long 3521726939
+ .long 1014301643
+ .long 778901109
+ .long 1073531663
+ .long 2248183954
+ .long 3162317327
+ .long 1432208378
+ .long 1073536779
+ .long 1401068914
+ .long 3163412539
+ .long 1532734324
+ .long 1073541909
+ .long 3094216535
+ .long 3164211433
+ .long 1242007932
+ .long 1073547053
+ .long 1132034716
+ .long 3164388407
+ .long 721996136
+ .long 1073552211
+ .long 563754734
+ .long 1016419894
+ .long 135105010
+ .long 1073557383
+ .long 1906148728
+ .long 3164424315
+ .long 3939148246
+ .long 1073562568
+ .long 3210352148
+ .long 1016322899
+ .long 3707479175
+ .long 1073567768
+ .long 3613079303
+ .long 1015213314
+ .long 3898795731
+ .long 1073572982
+ .long 1249994144
+ .long 1012918394
+ .long 382305176
+ .long 1073578211
+ .long 2347622376
+ .long 3163627201
+ .long 1912561781
+ .long 1073583453
+ .long 3147495102
+ .long 1016726829
+ .long 64696965
+ .long 1073588710
+ .long 1768797490
+ .long 1016865536
+ .long 3594158869
+ .long 1073593980
+ .long 2456521700
+ .long 3164305137
+ .long 4076975200
+ .long 1073599265
+ .long 2029000899
+ .long 1016257111
+ .long 1679558232
+ .long 1073604565
+ .long 2390342287
+ .long 3164382546
+ .long 863738719
+ .long 1073609879
+ .long 1326992220
+ .long 3163661773
+ .long 1796832535
+ .long 1073615207
+ .long 3176955716
+ .long 3161634089
+ .long 351641897
+ .long 1073620550
+ .long 2172261526
+ .long 3164059175
+ .long 991358482
+ .long 1073625907
+ .long 838715019
+ .long 3164206244
+ .long 3884662774
+ .long 1073631278
+ .long 2158611599
+ .long 1015258761
+ .long 610758006
+ .long 1073636665
+ .long 1965209397
+ .long 3162914808
+ .long 4224142467
+ .long 1073642065
+ .long 3389820386
+ .long 1016255778
+ .long 2009970496
+ .long 1073647481
+ .long 2159039665
+ .long 3163621524
+ .long 2728693978
+ .long 1073652911
+ .long 396109971
+ .long 3164511267
+ .long 2256325230
+ .long 1073658356
+ .long 580117746
+ .long 1016365871
+ .long 764307441
+ .long 1073663816
+ .long 3021057420
+ .long 3164378099
+ .long 2719515920
+ .long 1073669290
+ .long 2760332941
+ .long 1016186509
+ .long 3999357479
+ .long 1073674779
+ .long 2258941616
+ .long 1016973300
+ .long 481706282
+ .long 1073680284
+ .long 1696079173
+ .long 3163759104
+ .long 929806999
+ .long 1073685803
+ .long 3205336643
+ .long 1016308133
+ .long 1222472308
+ .long 1073691337
+ .long 1054357470
+ .long 3162069594
+ .long 1533953344
+ .long 1073696886
+ .long 769171851
+ .long 1016714209
+ .long 2038973688
+ .long 1073702450
+ .long 892941374
+ .long 1017095035
+ .long 2912730644
+ .long 1073708029
+ .long 3490067722
+ .long 3164453650
+ .long 35929225
+ .long 1073713624
+ .long 2809788041
+ .long 3160485544
+ .long 2174652632
+ .long 1073719233
+ .long 4087714590
+ .long 1015498835
+ .long 915592468
+ .long 1073724858
+ .long 352947894
+ .long 3162072947
+ .long 730821105
+ .long 1073730498
+ .long 2523232743
+ .long 1013115764
+ .long 1797923801
+ .long 1073736153
+ .long 1950547427
+ .long 1014277635
+ .type T_exp,@object
+ .size T_exp,4096
+ .space 512, 0x00 # pad
+ .align 16
+e_coeff:
+ .long 3884607281
+ .long 1062590591
+ .long 3607404736
+ .long 1068264200
+ .long 1874480759
+ .long 1065595563
+ .long 4286760335
+ .long 1070514109
+ .long 4277811695
+ .long 1072049730
+ .long 0
+ .long 0
+ .type e_coeff,@object
+ .size e_coeff,48
+ .align 16
+coeff_h:
+ .long 0
+ .long 3218479616
+ .long 0
+ .long 3210587105
+ .type coeff_h,@object
+ .size coeff_h,16
+ .align 16
+HIGHMASK_LOG_X:
+ .long 4160749568
+ .long 4294967295
+ .long 0
+ .long 4294965248
+ .type HIGHMASK_LOG_X,@object
+ .size HIGHMASK_LOG_X,16
+ .align 8
+HALFMASK:
+ .long 4160749568
+ .long 4294967295
+ .long 4160749568
+ .long 4294967295
+ .type HALFMASK,@object
+ .size HALFMASK,16
+ .align 8
+log2:
+ .long 4277811695
+ .long 1072049730
+ .long 4277811695
+ .long 3219533378
+ .type log2,@object
+ .size log2,16
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_pow.1-.
+ .4byte ..___tag_value_pow.5-..___tag_value_pow.1
+ .2byte 0x0400
+ .4byte ..___tag_value_pow.3-..___tag_value_pow.1
+ .2byte 0x300e
+ .byte 0x04
+ .4byte ..___tag_value_pow.4-..___tag_value_pow.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/e_sinh.S b/libm/x86_64/e_sinh.S
new file mode 100644
index 0000000..4d8db63
--- /dev/null
+++ b/libm/x86_64/e_sinh.S
@@ -0,0 +1,1430 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// sinh(x)=(exp(x)-exp(-x))/2
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^7=int(xH*L2EH*2^7),
+// f=0.b1 b2 ... b7, k integer
+// 2^f is approximated as Tp[f]+Dp[f], and 2^{-f} as Tn[f]+Dn[f]
+// Tp stores the high 53 bits, Dp stores (2^f-Tp[f]) rounded to double precision
+//
+// e^|x|=2^{k+f}*2^r, r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-8}+2^{-14},
+// for |x| in [23/64,3*2^7)
+// e^{-|x|}=2^{-k-f}*2^{-r}
+//
+// e^|x| is approximated as 2^k*Tp+2^k*Tp*c1*r(1+c2*r+..+c5*r^4)+2^k*Dp=
+// =2^k*Tp+2^k*Tp*P15+2^k*Dp
+// e^{-|x|} approximated as 2^{-k}*Tn-2^{-k}*Tn*c1*r(1-c2*r+..+c5*r^4)+2^{-k}*Dn
+//
+// For |x| in [1/8, 3*2^7), sinh(x) is formed as
+// RN(2^k*Tp-2^{-k}*Tn)+2^k*Tp*P15-2^{-k}*Tn*P`15-2^{-k}*TnL-2^{-k}*Dn+2^k*Dp
+//
+// For x in (3*2^7, 3*2^8), sign(x)*(e^|x|)/2 is returned, and
+// the result is checked for overflow.
+//
+// For |x|<23/64, a Taylor polynomial expansion is used (degree 13)
+// To reduce rounding errors, the p3*x^3 term is computed as
+// (p3*xh^3)_high+[(p3*xl*(3*x*xh+xl^2))+(p3*xh^3)_low],
+// where x=xh+xl, (xh are the leading 17 bits of x), and
+// (p3*xh^3)_high=RN(x+p3*xh^3)-x
+// (error bound for polynomial expansion is below 0.51 ulp)
+//
+// Special cases:
+// sinh(NaN) = quiet NaN, and raise invalid exception
+// sinh(+/-INF) = +/-INF
+// sinh(x) = x for subnormals
+// for finite argument, only sinh(0)=0 is exact
+// For IEEE double
+// sinh(x) overflows for x >
+// 710.47586007394386342639336362481117248535156250 = MAXLOG+log(2)
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin sinh
+ENTRY(sinh)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_sinh.1:
+ pushq %rsi
+..___tag_value_sinh.3:
+..B1.2:
+ movsd HALFMASK(%rip), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd L2E(%rip), %xmm1
+ movsd 8+L2E(%rip), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd Shifter(%rip), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ movl $32768, %edx
+ andl %ecx, %edx
+ andl $32767, %ecx
+ subl $16343, %ecx
+ cmpl $177, %ecx
+ jae .L_2TAG_PACKET_0.0.2
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ shll $3, %edx
+ orl %edx, %eax
+ movq %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ xorpd %xmm5, %xmm5
+ subsd %xmm6, %xmm3
+ movapd cv(%rip), %xmm4
+ addsd %xmm1, %xmm2
+ movapd 16+cv(%rip), %xmm6
+ subsd %xmm3, %xmm7
+ movl $32704, %edx
+ pinsrw $3, %edx, %xmm5
+ movapd 32+cv(%rip), %xmm1
+ addsd %xmm7, %xmm2
+ movl $127, %edx
+ andl %eax, %edx
+ addl %edx, %edx
+ shrl $3, %eax
+ andl $65520, %eax
+ addl $16352, %eax
+ xorpd %xmm0, %xmm0
+ cmpl $161, %ecx
+ jae .L_2TAG_PACKET_1.0.2
+ pshufd $68, %xmm5, %xmm5
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ psubw %xmm0, %xmm5
+ lea T2f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm0
+ lea T2_neg_f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm5
+ pshufd $68, %xmm2, %xmm3
+ movapd 48+cv(%rip), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ mulpd %xmm3, %xmm3
+ mulpd %xmm2, %xmm4
+ mulpd %xmm2, %xmm6
+ mulpd 64+cv(%rip), %xmm2
+ mulpd %xmm3, %xmm1
+ mulpd %xmm3, %xmm7
+ mulpd %xmm3, %xmm4
+ mulpd %xmm3, %xmm1
+ addpd %xmm7, %xmm6
+ movq %xmm0, %xmm7
+ addpd %xmm1, %xmm4
+ shufpd $0, %xmm5, %xmm7
+ subpd %xmm5, %xmm0
+ mulpd %xmm7, %xmm2
+ addpd %xmm6, %xmm4
+ subsd %xmm0, %xmm7
+ mulpd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ subsd %xmm5, %xmm7
+ addpd %xmm2, %xmm4
+ addsd %xmm6, %xmm7
+ pshufd $238, %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_1.0.2:
+ subl $16352, %eax
+ movl %eax, %ecx
+ andl $32752, %eax
+ shrl $1, %eax
+ andl $65520, %eax
+ subl %eax, %ecx
+ addl $16352, %eax
+ pinsrw $3, %eax, %xmm0
+ pshufd $68, %xmm0, %xmm0
+ lea T2f(%rip), %r8
+ mulpd (%r8,%rdx,8), %xmm0
+ pshufd $68, %xmm2, %xmm3
+ movsd 48+cv(%rip), %xmm7
+ mulsd %xmm3, %xmm3
+ mulsd %xmm2, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd 64+cv(%rip), %xmm2
+ mulsd %xmm3, %xmm1
+ mulsd %xmm3, %xmm7
+ mulsd %xmm3, %xmm4
+ addl $16368, %ecx
+ pinsrw $3, %ecx, %xmm5
+ mulsd %xmm3, %xmm1
+ addsd %xmm7, %xmm6
+ addsd %xmm1, %xmm4
+ mulsd %xmm0, %xmm2
+ addsd %xmm6, %xmm4
+ mulsd %xmm2, %xmm4
+ pshufd $238, %xmm0, %xmm6
+ addsd %xmm6, %xmm4
+ addsd %xmm4, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm5, %xmm0
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ movl $127, %edx
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_2.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ addl $16343, %ecx
+ cmpl $16343, %ecx
+ ja .L_2TAG_PACKET_3.0.2
+ cmpl $15856, %ecx
+ jb .L_2TAG_PACKET_4.0.2
+ movapd pv(%rip), %xmm1
+ pshufd $68, %xmm0, %xmm6
+ mulpd %xmm5, %xmm5
+ movapd 16+pv(%rip), %xmm2
+ pshufd $68, %xmm0, %xmm7
+ movapd 32+pv(%rip), %xmm3
+ pshufd $68, %xmm0, %xmm4
+ andpd MASK3(%rip), %xmm6
+ mulpd %xmm5, %xmm1
+ mulsd %xmm5, %xmm2
+ subpd %xmm6, %xmm4
+ mulpd %xmm5, %xmm7
+ addpd %xmm3, %xmm1
+ pshufd $68, %xmm6, %xmm3
+ mulpd %xmm5, %xmm5
+ mulsd %xmm7, %xmm2
+ mulpd %xmm7, %xmm1
+ pshufd $68, %xmm0, %xmm7
+ mulsd %xmm6, %xmm6
+ addsd %xmm7, %xmm7
+ mulsd %xmm4, %xmm4
+ mulpd %xmm5, %xmm1
+ addsd %xmm0, %xmm7
+ mulsd %xmm3, %xmm6
+ mulsd %xmm3, %xmm7
+ pshufd $238, %xmm1, %xmm3
+ mulsd %xmm5, %xmm1
+ pshufd $238, %xmm4, %xmm5
+ addsd %xmm2, %xmm3
+ pshufd $238, %xmm2, %xmm2
+ addsd %xmm4, %xmm7
+ movq %xmm0, %xmm4
+ mulsd %xmm2, %xmm6
+ mulsd %xmm5, %xmm7
+ addsd %xmm6, %xmm0
+ mulsd %xmm2, %xmm7
+ subsd %xmm0, %xmm4
+ addsd %xmm7, %xmm1
+ addsd %xmm4, %xmm6
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ cmpl $16, %ecx
+ jae .L_2TAG_PACKET_5.0.2
+ movq %xmm0, %xmm1
+ mulsd %xmm1, %xmm1
+ jmp ..B1.5
+.L_2TAG_PACKET_5.0.2:
+ xorpd %xmm2, %xmm2
+ movl $17392, %ecx
+ pinsrw $3, %ecx, %xmm2
+ xorpd %xmm3, %xmm3
+ movl $15344, %edx
+ pinsrw $3, %edx, %xmm3
+ mulsd %xmm0, %xmm2
+ addsd %xmm2, %xmm0
+ mulsd %xmm3, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_3.0.2:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ xorpd %xmm0, %xmm0
+ movl $32736, %eax
+ pinsrw $3, %eax, %xmm0
+ orl %edx, %eax
+ pinsrw $3, %eax, %xmm1
+ mulsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_2.0.2
+.L_2TAG_PACKET_6.0.2:
+ xorpd %xmm1, %xmm1
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm1
+ andnpd %xmm0, %xmm1
+ mulsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ movq %xmm0, (%rsp)
+..B1.3:
+ movq (%rsp), %xmm0
+.L_2TAG_PACKET_7.0.2:
+..B1.5:
+ popq %rcx
+..___tag_value_sinh.4:
+ ret
+..___tag_value_sinh.5:
+END(sinh)
+# -- End sinh
+ .section .rodata, "a"
+ .align 16
+ .align 16
+L2E:
+ .long 1610612736
+ .long 1080497479
+ .long 4166901572
+ .long 1053077003
+ .type L2E,@object
+ .size L2E,16
+ .align 16
+Shifter:
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .type Shifter,@object
+ .size Shifter,16
+ .align 16
+cv:
+ .long 3607404736
+ .long 1044146952
+ .long 3607404736
+ .long 3191630600
+ .long 4277811695
+ .long 1063661122
+ .long 4277811695
+ .long 3211144770
+ .long 2140175755
+ .long 1033864261
+ .long 2140175755
+ .long 1033864261
+ .long 4289495988
+ .long 1054113747
+ .long 4289495988
+ .long 1054113747
+ .long 4277811695
+ .long 1064709698
+ .long 4277811695
+ .long 1064709698
+ .type cv,@object
+ .size cv,80
+ .align 16
+T2f:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 2851812149
+ .long 1072698941
+ .long 2595802551
+ .long 1016815913
+ .long 1048019041
+ .long 1072704666
+ .long 1398474845
+ .long 3161559171
+ .long 3899555717
+ .long 1072710421
+ .long 427280750
+ .long 3163595548
+ .long 3541402996
+ .long 1072716208
+ .long 2759177317
+ .long 1015903202
+ .long 702412510
+ .long 1072722027
+ .long 3803266087
+ .long 3163328991
+ .long 410360776
+ .long 1072727877
+ .long 1269990655
+ .long 1013024446
+ .long 3402036099
+ .long 1072733758
+ .long 405889334
+ .long 1016154232
+ .long 1828292879
+ .long 1072739672
+ .long 1255956747
+ .long 1016636974
+ .long 728909815
+ .long 1072745618
+ .long 383930225
+ .long 1016078044
+ .long 852742562
+ .long 1072751596
+ .long 667253586
+ .long 1010842135
+ .long 2952712987
+ .long 1072757606
+ .long 3293494651
+ .long 3161168877
+ .long 3490863953
+ .long 1072763649
+ .long 960797498
+ .long 3163997456
+ .long 3228316108
+ .long 1072769725
+ .long 3010241991
+ .long 3159471380
+ .long 2930322912
+ .long 1072775834
+ .long 2599499422
+ .long 3163762623
+ .long 3366293073
+ .long 1072781976
+ .long 3119426314
+ .long 1015169130
+ .long 1014845819
+ .long 1072788152
+ .long 3117910646
+ .long 3162607681
+ .long 948735466
+ .long 1072794361
+ .long 3516338028
+ .long 3163623459
+ .long 3949972341
+ .long 1072800603
+ .long 2068408548
+ .long 1015962444
+ .long 2214878420
+ .long 1072806880
+ .long 892270087
+ .long 3164164998
+ .long 828946858
+ .long 1072813191
+ .long 10642492
+ .long 1016988014
+ .long 586995997
+ .long 1072819536
+ .long 41662348
+ .long 3163676568
+ .long 2288159958
+ .long 1072825915
+ .long 2169144469
+ .long 1015924597
+ .long 2440944790
+ .long 1072832329
+ .long 2492769774
+ .long 1015196030
+ .long 1853186616
+ .long 1072838778
+ .long 3066496371
+ .long 1016705150
+ .long 1337108031
+ .long 1072845262
+ .long 3203724452
+ .long 1015726421
+ .long 1709341917
+ .long 1072851781
+ .long 2571168217
+ .long 1015201075
+ .long 3790955393
+ .long 1072858335
+ .long 2352942462
+ .long 3164228666
+ .long 4112506593
+ .long 1072864925
+ .long 2947355221
+ .long 1015419624
+ .long 3504003472
+ .long 1072871551
+ .long 3594001060
+ .long 3158379228
+ .long 2799960843
+ .long 1072878213
+ .long 1423655381
+ .long 1016070727
+ .long 2839424854
+ .long 1072884911
+ .long 1171596163
+ .long 1014090255
+ .long 171030293
+ .long 1072891646
+ .long 3526460132
+ .long 1015477354
+ .long 4232894513
+ .long 1072898416
+ .long 2383938684
+ .long 1015717095
+ .long 2992903935
+ .long 1072905224
+ .long 2218154406
+ .long 1016276769
+ .long 1603444721
+ .long 1072912069
+ .long 1548633640
+ .long 3163249902
+ .long 926591435
+ .long 1072918951
+ .long 3208833762
+ .long 3163962090
+ .long 1829099622
+ .long 1072925870
+ .long 1016661181
+ .long 3164509581
+ .long 887463927
+ .long 1072932827
+ .long 3596744163
+ .long 3161842742
+ .long 3272845541
+ .long 1072939821
+ .long 928852419
+ .long 3164536824
+ .long 1276261410
+ .long 1072946854
+ .long 300981948
+ .long 1015732745
+ .long 78413852
+ .long 1072953925
+ .long 4183226867
+ .long 3164065827
+ .long 569847338
+ .long 1072961034
+ .long 472945272
+ .long 3160339305
+ .long 3645941911
+ .long 1072968181
+ .long 3814685081
+ .long 3162621917
+ .long 1617004845
+ .long 1072975368
+ .long 82804944
+ .long 1011391354
+ .long 3978100823
+ .long 1072982593
+ .long 3513027190
+ .long 1016894539
+ .long 3049340112
+ .long 1072989858
+ .long 3062915824
+ .long 1014219171
+ .long 4040676318
+ .long 1072997162
+ .long 4090609238
+ .long 1016712034
+ .long 3577096743
+ .long 1073004506
+ .long 2951496418
+ .long 1014842263
+ .long 2583551245
+ .long 1073011890
+ .long 3161094195
+ .long 1016655067
+ .long 1990012071
+ .long 1073019314
+ .long 3529070563
+ .long 3163861769
+ .long 2731501122
+ .long 1073026778
+ .long 1774031855
+ .long 3163518597
+ .long 1453150082
+ .long 1073034283
+ .long 498154669
+ .long 3162536638
+ .long 3395129871
+ .long 1073041828
+ .long 4025345435
+ .long 3163383964
+ .long 917841882
+ .long 1073049415
+ .long 18715565
+ .long 1016707884
+ .long 3566716925
+ .long 1073057042
+ .long 1536826856
+ .long 1015191009
+ .long 3712504873
+ .long 1073064711
+ .long 88491949
+ .long 1016476236
+ .long 2321106615
+ .long 1073072422
+ .long 2171176610
+ .long 1010584347
+ .long 363667784
+ .long 1073080175
+ .long 813753950
+ .long 1016833785
+ .long 3111574537
+ .long 1073087969
+ .long 2606161479
+ .long 3163808322
+ .long 2956612997
+ .long 1073095806
+ .long 2118169751
+ .long 3163784129
+ .long 885834528
+ .long 1073103686
+ .long 1973258547
+ .long 3163310140
+ .long 2186617381
+ .long 1073111608
+ .long 2270764084
+ .long 3164321289
+ .long 3561793907
+ .long 1073119573
+ .long 1157054053
+ .long 1012938926
+ .long 1719614413
+ .long 1073127582
+ .long 330458198
+ .long 3164331316
+ .long 1963711167
+ .long 1073135634
+ .long 1744767757
+ .long 3161622870
+ .long 1013258799
+ .long 1073143730
+ .long 1748797611
+ .long 3161177658
+ .long 4182873220
+ .long 1073151869
+ .long 629542646
+ .long 3163044879
+ .long 3907805044
+ .long 1073160053
+ .long 2257091225
+ .long 3162598983
+ .long 1218806132
+ .long 1073168282
+ .long 1818613052
+ .long 3163597017
+ .long 1447192521
+ .long 1073176555
+ .long 1462857171
+ .long 3163563097
+ .long 1339972927
+ .long 1073184873
+ .long 167908909
+ .long 1016620728
+ .long 1944781191
+ .long 1073193236
+ .long 3993278767
+ .long 3162772855
+ .long 19972402
+ .long 1073201645
+ .long 3507899862
+ .long 1017057868
+ .long 919555682
+ .long 1073210099
+ .long 3121969534
+ .long 1013996802
+ .long 1413356050
+ .long 1073218599
+ .long 1651349291
+ .long 3163716742
+ .long 2571947539
+ .long 1073227145
+ .long 3558159064
+ .long 3164425245
+ .long 1176749997
+ .long 1073235738
+ .long 2738998779
+ .long 3163084420
+ .long 2604962541
+ .long 1073244377
+ .long 2614425274
+ .long 3164587768
+ .long 3649726105
+ .long 1073253063
+ .long 4085036346
+ .long 1016698050
+ .long 1110089947
+ .long 1073261797
+ .long 1451641639
+ .long 1016523249
+ .long 380978316
+ .long 1073270578
+ .long 854188970
+ .long 3161511262
+ .long 2568320822
+ .long 1073279406
+ .long 2732824428
+ .long 1015401491
+ .long 194117574
+ .long 1073288283
+ .long 777528612
+ .long 3164460665
+ .long 2966275557
+ .long 1073297207
+ .long 2176155324
+ .long 3160891335
+ .long 3418903055
+ .long 1073306180
+ .long 2527457337
+ .long 3161869180
+ .long 2682146384
+ .long 1073315202
+ .long 2082178513
+ .long 3164411995
+ .long 1892288442
+ .long 1073324273
+ .long 2446255666
+ .long 3163648957
+ .long 2191782032
+ .long 1073333393
+ .long 2960257726
+ .long 1014791238
+ .long 434316067
+ .long 1073342563
+ .long 2028358766
+ .long 1014506698
+ .long 2069751141
+ .long 1073351782
+ .long 1562170675
+ .long 3163773257
+ .long 3964284211
+ .long 1073361051
+ .long 2111583915
+ .long 1016475740
+ .long 2990417245
+ .long 1073370371
+ .long 3683467745
+ .long 3164417902
+ .long 321958744
+ .long 1073379742
+ .long 3401933767
+ .long 1016843134
+ .long 1434058175
+ .long 1073389163
+ .long 251133233
+ .long 1016134345
+ .long 3218338682
+ .long 1073398635
+ .long 3404164304
+ .long 3163525684
+ .long 2572866477
+ .long 1073408159
+ .long 878562433
+ .long 1016570317
+ .long 697153126
+ .long 1073417735
+ .long 1283515429
+ .long 3164331765
+ .long 3092190715
+ .long 1073427362
+ .long 814012168
+ .long 3160571998
+ .long 2380618042
+ .long 1073437042
+ .long 3149557219
+ .long 3164369375
+ .long 4076559943
+ .long 1073446774
+ .long 2119478331
+ .long 3161806927
+ .long 815859274
+ .long 1073456560
+ .long 240396590
+ .long 3164536019
+ .long 2420883922
+ .long 1073466398
+ .long 2049810052
+ .long 1015168464
+ .long 1540824585
+ .long 1073476290
+ .long 1064017011
+ .long 3164536266
+ .long 3716502172
+ .long 1073486235
+ .long 2303740125
+ .long 1015091301
+ .long 1610600570
+ .long 1073496235
+ .long 3766732298
+ .long 1016808759
+ .long 777507147
+ .long 1073506289
+ .long 4282924205
+ .long 1016236109
+ .long 2483480501
+ .long 1073516397
+ .long 1216371780
+ .long 1014082748
+ .long 3706687593
+ .long 1073526560
+ .long 3521726940
+ .long 1014301643
+ .long 1432208378
+ .long 1073536779
+ .long 1401068914
+ .long 3163412539
+ .long 1242007932
+ .long 1073547053
+ .long 1132034716
+ .long 3164388407
+ .long 135105010
+ .long 1073557383
+ .long 1906148728
+ .long 3164424315
+ .long 3707479175
+ .long 1073567768
+ .long 3613079303
+ .long 1015213314
+ .long 382305176
+ .long 1073578211
+ .long 2347622376
+ .long 3163627201
+ .long 64696965
+ .long 1073588710
+ .long 1768797490
+ .long 1016865536
+ .long 4076975200
+ .long 1073599265
+ .long 2029000899
+ .long 1016257111
+ .long 863738719
+ .long 1073609879
+ .long 1326992220
+ .long 3163661773
+ .long 351641897
+ .long 1073620550
+ .long 2172261526
+ .long 3164059175
+ .long 3884662774
+ .long 1073631278
+ .long 2158611599
+ .long 1015258761
+ .long 4224142467
+ .long 1073642065
+ .long 3389820386
+ .long 1016255778
+ .long 2728693978
+ .long 1073652911
+ .long 396109971
+ .long 3164511267
+ .long 764307441
+ .long 1073663816
+ .long 3021057420
+ .long 3164378099
+ .long 3999357479
+ .long 1073674779
+ .long 2258941616
+ .long 1016973300
+ .long 929806999
+ .long 1073685803
+ .long 3205336643
+ .long 1016308133
+ .long 1533953344
+ .long 1073696886
+ .long 769171851
+ .long 1016714209
+ .long 2912730644
+ .long 1073708029
+ .long 3490067722
+ .long 3164453650
+ .long 2174652632
+ .long 1073719233
+ .long 4087714590
+ .long 1015498835
+ .long 730821105
+ .long 1073730498
+ .long 2523232743
+ .long 1013115764
+ .type T2f,@object
+ .size T2f,2048
+ .align 16
+T2_neg_f:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 730821105
+ .long 1072681922
+ .long 2523232743
+ .long 1012067188
+ .long 2174652632
+ .long 1072670657
+ .long 4087714590
+ .long 1014450259
+ .long 2912730644
+ .long 1072659453
+ .long 3490067722
+ .long 3163405074
+ .long 1533953344
+ .long 1072648310
+ .long 769171851
+ .long 1015665633
+ .long 929806999
+ .long 1072637227
+ .long 3205336643
+ .long 1015259557
+ .long 3999357479
+ .long 1072626203
+ .long 2258941616
+ .long 1015924724
+ .long 764307441
+ .long 1072615240
+ .long 3021057420
+ .long 3163329523
+ .long 2728693978
+ .long 1072604335
+ .long 396109971
+ .long 3163462691
+ .long 4224142467
+ .long 1072593489
+ .long 3389820386
+ .long 1015207202
+ .long 3884662774
+ .long 1072582702
+ .long 2158611599
+ .long 1014210185
+ .long 351641897
+ .long 1072571974
+ .long 2172261526
+ .long 3163010599
+ .long 863738719
+ .long 1072561303
+ .long 1326992220
+ .long 3162613197
+ .long 4076975200
+ .long 1072550689
+ .long 2029000899
+ .long 1015208535
+ .long 64696965
+ .long 1072540134
+ .long 1768797490
+ .long 1015816960
+ .long 382305176
+ .long 1072529635
+ .long 2347622376
+ .long 3162578625
+ .long 3707479175
+ .long 1072519192
+ .long 3613079303
+ .long 1014164738
+ .long 135105010
+ .long 1072508807
+ .long 1906148728
+ .long 3163375739
+ .long 1242007932
+ .long 1072498477
+ .long 1132034716
+ .long 3163339831
+ .long 1432208378
+ .long 1072488203
+ .long 1401068914
+ .long 3162363963
+ .long 3706687593
+ .long 1072477984
+ .long 3521726940
+ .long 1013253067
+ .long 2483480501
+ .long 1072467821
+ .long 1216371780
+ .long 1013034172
+ .long 777507147
+ .long 1072457713
+ .long 4282924205
+ .long 1015187533
+ .long 1610600570
+ .long 1072447659
+ .long 3766732298
+ .long 1015760183
+ .long 3716502172
+ .long 1072437659
+ .long 2303740125
+ .long 1014042725
+ .long 1540824585
+ .long 1072427714
+ .long 1064017011
+ .long 3163487690
+ .long 2420883922
+ .long 1072417822
+ .long 2049810052
+ .long 1014119888
+ .long 815859274
+ .long 1072407984
+ .long 240396590
+ .long 3163487443
+ .long 4076559943
+ .long 1072398198
+ .long 2119478331
+ .long 3160758351
+ .long 2380618042
+ .long 1072388466
+ .long 3149557219
+ .long 3163320799
+ .long 3092190715
+ .long 1072378786
+ .long 814012168
+ .long 3159523422
+ .long 697153126
+ .long 1072369159
+ .long 1283515429
+ .long 3163283189
+ .long 2572866477
+ .long 1072359583
+ .long 878562433
+ .long 1015521741
+ .long 3218338682
+ .long 1072350059
+ .long 3404164304
+ .long 3162477108
+ .long 1434058175
+ .long 1072340587
+ .long 251133233
+ .long 1015085769
+ .long 321958744
+ .long 1072331166
+ .long 3401933767
+ .long 1015794558
+ .long 2990417245
+ .long 1072321795
+ .long 3683467745
+ .long 3163369326
+ .long 3964284211
+ .long 1072312475
+ .long 2111583915
+ .long 1015427164
+ .long 2069751141
+ .long 1072303206
+ .long 1562170675
+ .long 3162724681
+ .long 434316067
+ .long 1072293987
+ .long 2028358766
+ .long 1013458122
+ .long 2191782032
+ .long 1072284817
+ .long 2960257726
+ .long 1013742662
+ .long 1892288442
+ .long 1072275697
+ .long 2446255666
+ .long 3162600381
+ .long 2682146384
+ .long 1072266626
+ .long 2082178513
+ .long 3163363419
+ .long 3418903055
+ .long 1072257604
+ .long 2527457337
+ .long 3160820604
+ .long 2966275557
+ .long 1072248631
+ .long 2176155324
+ .long 3159842759
+ .long 194117574
+ .long 1072239707
+ .long 777528612
+ .long 3163412089
+ .long 2568320822
+ .long 1072230830
+ .long 2732824428
+ .long 1014352915
+ .long 380978316
+ .long 1072222002
+ .long 854188970
+ .long 3160462686
+ .long 1110089947
+ .long 1072213221
+ .long 1451641639
+ .long 1015474673
+ .long 3649726105
+ .long 1072204487
+ .long 4085036346
+ .long 1015649474
+ .long 2604962541
+ .long 1072195801
+ .long 2614425274
+ .long 3163539192
+ .long 1176749997
+ .long 1072187162
+ .long 2738998779
+ .long 3162035844
+ .long 2571947539
+ .long 1072178569
+ .long 3558159064
+ .long 3163376669
+ .long 1413356050
+ .long 1072170023
+ .long 1651349291
+ .long 3162668166
+ .long 919555682
+ .long 1072161523
+ .long 3121969534
+ .long 1012948226
+ .long 19972402
+ .long 1072153069
+ .long 3507899862
+ .long 1016009292
+ .long 1944781191
+ .long 1072144660
+ .long 3993278767
+ .long 3161724279
+ .long 1339972927
+ .long 1072136297
+ .long 167908909
+ .long 1015572152
+ .long 1447192521
+ .long 1072127979
+ .long 1462857171
+ .long 3162514521
+ .long 1218806132
+ .long 1072119706
+ .long 1818613052
+ .long 3162548441
+ .long 3907805044
+ .long 1072111477
+ .long 2257091225
+ .long 3161550407
+ .long 4182873220
+ .long 1072103293
+ .long 629542646
+ .long 3161996303
+ .long 1013258799
+ .long 1072095154
+ .long 1748797611
+ .long 3160129082
+ .long 1963711167
+ .long 1072087058
+ .long 1744767757
+ .long 3160574294
+ .long 1719614413
+ .long 1072079006
+ .long 330458198
+ .long 3163282740
+ .long 3561793907
+ .long 1072070997
+ .long 1157054053
+ .long 1011890350
+ .long 2186617381
+ .long 1072063032
+ .long 2270764084
+ .long 3163272713
+ .long 885834528
+ .long 1072055110
+ .long 1973258547
+ .long 3162261564
+ .long 2956612997
+ .long 1072047230
+ .long 2118169751
+ .long 3162735553
+ .long 3111574537
+ .long 1072039393
+ .long 2606161479
+ .long 3162759746
+ .long 363667784
+ .long 1072031599
+ .long 813753950
+ .long 1015785209
+ .long 2321106615
+ .long 1072023846
+ .long 2171176610
+ .long 1009535771
+ .long 3712504873
+ .long 1072016135
+ .long 88491949
+ .long 1015427660
+ .long 3566716925
+ .long 1072008466
+ .long 1536826856
+ .long 1014142433
+ .long 917841882
+ .long 1072000839
+ .long 18715565
+ .long 1015659308
+ .long 3395129871
+ .long 1071993252
+ .long 4025345435
+ .long 3162335388
+ .long 1453150082
+ .long 1071985707
+ .long 498154669
+ .long 3161488062
+ .long 2731501122
+ .long 1071978202
+ .long 1774031855
+ .long 3162470021
+ .long 1990012071
+ .long 1071970738
+ .long 3529070563
+ .long 3162813193
+ .long 2583551245
+ .long 1071963314
+ .long 3161094195
+ .long 1015606491
+ .long 3577096743
+ .long 1071955930
+ .long 2951496418
+ .long 1013793687
+ .long 4040676318
+ .long 1071948586
+ .long 4090609238
+ .long 1015663458
+ .long 3049340112
+ .long 1071941282
+ .long 3062915824
+ .long 1013170595
+ .long 3978100823
+ .long 1071934017
+ .long 3513027190
+ .long 1015845963
+ .long 1617004845
+ .long 1071926792
+ .long 82804944
+ .long 1010342778
+ .long 3645941911
+ .long 1071919605
+ .long 3814685081
+ .long 3161573341
+ .long 569847338
+ .long 1071912458
+ .long 472945272
+ .long 3159290729
+ .long 78413852
+ .long 1071905349
+ .long 4183226867
+ .long 3163017251
+ .long 1276261410
+ .long 1071898278
+ .long 300981948
+ .long 1014684169
+ .long 3272845541
+ .long 1071891245
+ .long 928852419
+ .long 3163488248
+ .long 887463927
+ .long 1071884251
+ .long 3596744163
+ .long 3160794166
+ .long 1829099622
+ .long 1071877294
+ .long 1016661181
+ .long 3163461005
+ .long 926591435
+ .long 1071870375
+ .long 3208833762
+ .long 3162913514
+ .long 1603444721
+ .long 1071863493
+ .long 1548633640
+ .long 3162201326
+ .long 2992903935
+ .long 1071856648
+ .long 2218154406
+ .long 1015228193
+ .long 4232894513
+ .long 1071849840
+ .long 2383938684
+ .long 1014668519
+ .long 171030293
+ .long 1071843070
+ .long 3526460132
+ .long 1014428778
+ .long 2839424854
+ .long 1071836335
+ .long 1171596163
+ .long 1013041679
+ .long 2799960843
+ .long 1071829637
+ .long 1423655381
+ .long 1015022151
+ .long 3504003472
+ .long 1071822975
+ .long 3594001060
+ .long 3157330652
+ .long 4112506593
+ .long 1071816349
+ .long 2947355221
+ .long 1014371048
+ .long 3790955393
+ .long 1071809759
+ .long 2352942462
+ .long 3163180090
+ .long 1709341917
+ .long 1071803205
+ .long 2571168217
+ .long 1014152499
+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .type T2_neg_f,@object
+ .size T2_neg_f,2048
+ .align 16
+pv:
+ .long 329805064
+ .long 1038488134
+ .long 2773927730
+ .long 1053236707
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1069897045
+ .long 1744127201
+ .long 1046144581
+ .long 436314137
+ .long 1059717536
+ .type pv,@object
+ .size pv,48
+ .align 16
+MASK3:
+ .long 0
+ .long 4294967280
+ .long 0
+ .long 4294967280
+ .type MASK3,@object
+ .size MASK3,16
+ .align 8
+HALFMASK:
+ .long 4160749568
+ .long 2147483647
+ .type HALFMASK,@object
+ .size HALFMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_sinh.1-.
+ .4byte ..___tag_value_sinh.5-..___tag_value_sinh.1
+ .2byte 0x0400
+ .4byte ..___tag_value_sinh.3-..___tag_value_sinh.1
+ .2byte 0x100e
+ .byte 0x04
+ .4byte ..___tag_value_sinh.4-..___tag_value_sinh.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/floor.S b/libm/x86_64/floor.S
new file mode 100644
index 0000000..dc80e88
--- /dev/null
+++ b/libm/x86_64/floor.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(floor)
+roundsd $0x1,%xmm0,%xmm0
+retq
+END(floor)
diff --git a/libm/x86_64/floorf.S b/libm/x86_64/floorf.S
new file mode 100644
index 0000000..832f9c5
--- /dev/null
+++ b/libm/x86_64/floorf.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(floorf)
+roundss $0x1,%xmm0,%xmm0
+retq
+END(floorf)
diff --git a/libm/x86_64/lrint.S b/libm/x86_64/lrint.S
new file mode 100644
index 0000000..f809a1f
--- /dev/null
+++ b/libm/x86_64/lrint.S
@@ -0,0 +1,35 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(lrint)
+ // LP64 sizeof(long) == 8.
+ cvtsd2si %xmm0, %rax
+ ret
+END(lrint)
+
+// LP64 sizeof(long long) == sizeof(long).
+ALIAS_SYMBOL(llrint, lrint);
diff --git a/libm/x86_64/lrintf.S b/libm/x86_64/lrintf.S
new file mode 100644
index 0000000..a661cbc
--- /dev/null
+++ b/libm/x86_64/lrintf.S
@@ -0,0 +1,35 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(lrintf)
+ // LP64 sizeof(long) == 8.
+ cvtss2si %xmm0, %rax
+ ret
+END(lrintf)
+
+// LP64 sizeof(long long) == sizeof(long).
+ALIAS_SYMBOL(llrintf, lrintf);
diff --git a/libm/x86_64/rint.S b/libm/x86_64/rint.S
new file mode 100644
index 0000000..098fdc5
--- /dev/null
+++ b/libm/x86_64/rint.S
@@ -0,0 +1,31 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(rint)
+ roundsd $0x4,%xmm0,%xmm0
+ retq
+END(rint)
diff --git a/libm/x86_64/rintf.S b/libm/x86_64/rintf.S
new file mode 100644
index 0000000..09f5e9c
--- /dev/null
+++ b/libm/x86_64/rintf.S
@@ -0,0 +1,31 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(rintf)
+ roundss $0x4,%xmm0,%xmm0
+ retq
+END(rintf)
diff --git a/libm/x86_64/s_atan.S b/libm/x86_64/s_atan.S
new file mode 100644
index 0000000..2453e10
--- /dev/null
+++ b/libm/x86_64/s_atan.S
@@ -0,0 +1,927 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// This implementation uses the main path for |x| in [2^{-5},2^65).
+// For |x| in [2^{-64},2^{-5}), a secondary path is used.
+// For the biased exponent of X within 3FFH-64 and 3FF+64, we use one branch.
+// We use the following definition of B and X` so that the formula
+// atan(X) = Tau + atan( (X`-B) / (One + BX) ) is correct
+//
+// X = (-1)^s * 2^k * 1. x1 x2 ... x52
+//
+// Define X` = 0 if k >= 5; and X` = |X| otherwise
+// Define One = 0 if k >= 5; and One = 1 otherwise
+// Define B = 0 if k <= -6; B = 2^k * 1.x1 x2 x3 x4 1 if -5 <= k <= 4
+// Define B = 2^5 * 1.0 0 ... 0 if k >= 5
+//
+// Tau is 0 if k <= -6;
+// Tau is atan( B ) if -5 <= k <= 4
+// Tau is pi/2 if k >= 5
+//
+// Special cases:
+// atan(NaN) = quiet NaN
+// atan(+/-INF) = +/-Pi/2
+// atan(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin atan
+ENTRY(atan)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_atan.1:
+ pushq %rsi
+..___tag_value_atan.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ movq $0xffff000000000000, %r8
+ movd %r8, %xmm3
+ movq ONEMASK(%rip), %xmm5
+ movq $0x800000000000, %r9
+ movd %r9, %xmm4
+ pextrw $3, %xmm0, %edx
+ andpd %xmm0, %xmm3
+ pshufd $68, %xmm0, %xmm1
+ orpd %xmm4, %xmm3
+ movl %edx, %eax
+ andl $32767, %edx
+ subl $16288, %edx
+ cmpl $159, %edx
+ ja .L_2TAG_PACKET_0.0.1
+ mulsd %xmm3, %xmm1
+ subsd %xmm3, %xmm0
+ addsd %xmm5, %xmm1
+ divsd %xmm1, %xmm0
+ addl $1, %edx
+ movq a2(%rip), %xmm2
+ movq b2(%rip), %xmm4
+ andl $32768, %eax
+ xorpd %xmm7, %xmm7
+ pinsrw $3, %eax, %xmm7
+ addl %edx, %edx
+ lea atan_tbl(%rip), %r8
+ movq (%r8,%rdx,8), %xmm6
+ movq 8(%r8,%rdx,8), %xmm5
+ xorpd %xmm7, %xmm5
+ xorpd %xmm7, %xmm6
+ movq 8+a2(%rip), %xmm7
+ movddup %xmm0, %xmm1
+ mulsd %xmm0, %xmm0
+ movddup %xmm1, %xmm3
+ addsd %xmm6, %xmm1
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm4
+ subsd %xmm1, %xmm6
+ mulsd %xmm0, %xmm4
+ addsd %xmm7, %xmm2
+ mulsd %xmm3, %xmm0
+ addsd %xmm3, %xmm6
+ mulsd %xmm2, %xmm0
+ addsd 8+b2(%rip), %xmm4
+ addsd %xmm5, %xmm6
+ mulsd %xmm4, %xmm0
+ addsd %xmm6, %xmm0
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_1.0.1
+.L_2TAG_PACKET_0.0.1:
+ addl $944, %edx
+ cmpl $1103, %edx
+ ja .L_2TAG_PACKET_2.0.1
+ movq a2(%rip), %xmm4
+ movq b2(%rip), %xmm7
+ movq (%rsp), %xmm0
+ mulsd %xmm1, %xmm1
+ movq 8+a2(%rip), %xmm2
+ movq 8+b2(%rip), %xmm5
+ mulsd %xmm1, %xmm4
+ addsd %xmm1, %xmm7
+ movq %xmm1, %xmm6
+ mulsd %xmm0, %xmm1
+ addsd %xmm4, %xmm2
+ mulsd %xmm6, %xmm7
+ mulsd %xmm1, %xmm2
+ addsd %xmm5, %xmm7
+ mulsd %xmm7, %xmm2
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_1.0.1
+.L_2TAG_PACKET_2.0.1:
+ addl $15344, %edx
+ cmpl $16368, %edx
+ ja .L_2TAG_PACKET_3.0.1
+ movq (%rsp), %xmm0
+ movq (%rsp), %xmm1
+ cmpl $16, %edx
+ jae .L_2TAG_PACKET_1.0.1
+ mulsd %xmm0, %xmm1
+ jmp .L_2TAG_PACKET_1.0.1
+.L_2TAG_PACKET_3.0.1:
+ cmpl $17392, %edx
+ jae .L_2TAG_PACKET_4.0.1
+ movq $0xbff0000000000000, %r8
+ movd %r8, %xmm1
+ divsd %xmm0, %xmm1
+ movq a2(%rip), %xmm2
+ movq b2(%rip), %xmm4
+ andl $32768, %eax
+ xorpd %xmm7, %xmm7
+ pinsrw $3, %eax, %xmm7
+ addl %edx, %edx
+ movq pi_table(%rip), %xmm6
+ movq 8+pi_table(%rip), %xmm5
+ xorpd %xmm7, %xmm5
+ xorpd %xmm7, %xmm6
+ movq 8+a2(%rip), %xmm7
+ movddup %xmm1, %xmm0
+ mulsd %xmm1, %xmm1
+ movddup %xmm0, %xmm3
+ addsd %xmm6, %xmm0
+ mulsd %xmm1, %xmm2
+ addsd %xmm1, %xmm4
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm4
+ addsd %xmm7, %xmm2
+ mulsd %xmm3, %xmm1
+ addsd %xmm3, %xmm6
+ mulsd %xmm2, %xmm1
+ addsd 8+b2(%rip), %xmm4
+ addsd %xmm5, %xmm6
+ mulsd %xmm4, %xmm1
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_1.0.1
+.L_2TAG_PACKET_4.0.1:
+ movq (%rsp), %xmm4
+ movq SGNMASK(%rip), %xmm0
+ movq pi_table(%rip), %xmm2
+ movq 8+pi_table(%rip), %xmm3
+ movd %xmm1, %eax
+ psrlq $32, %xmm1
+ movd %xmm1, %edx
+ andl $2147483647, %edx
+ cmpl $2146435072, %edx
+ jae .L_2TAG_PACKET_5.0.1
+.L_2TAG_PACKET_6.0.1:
+ andnpd %xmm4, %xmm0
+ orpd %xmm0, %xmm2
+ orpd %xmm3, %xmm0
+ addsd %xmm2, %xmm0
+ jmp .L_2TAG_PACKET_1.0.1
+.L_2TAG_PACKET_5.0.1:
+ subl $2146435072, %edx
+ orl %edx, %eax
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_6.0.1
+ movq %xmm4, %xmm0
+ addsd %xmm0, %xmm0
+.L_2TAG_PACKET_1.0.1:
+..B1.3:
+ popq %rcx
+..___tag_value_atan.4:
+ ret
+..___tag_value_atan.5:
+END(atan)
+# -- End atan
+ .section .rodata, "a"
+ .align 4
+ .align 4
+ONEMASK:
+ .long 0
+ .long 1072693248
+ .type ONEMASK,@object
+ .size ONEMASK,8
+ .align 4
+a2:
+ .long 2006262985
+ .long 1069310863
+ .long 2358449471
+ .long 3217342131
+ .type a2,@object
+ .size a2,16
+ .align 4
+b2:
+ .long 3845454352
+ .long 1069952297
+ .long 2829679149
+ .long 1073771565
+ .type b2,@object
+ .size b2,16
+ .align 4
+atan_tbl:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3819695742
+ .long 1067482761
+ .long 2398680355
+ .long 3155462074
+ .long 2998791009
+ .long 1067548225
+ .long 3868465248
+ .long 3157182472
+ .long 3339424991
+ .long 1067613680
+ .long 3296670360
+ .long 1010752543
+ .long 2710002256
+ .long 1067679126
+ .long 3403896007
+ .long 1010910768
+ .long 3275701428
+ .long 1067744562
+ .long 119959933
+ .long 1011482843
+ .long 2908636881
+ .long 1067809988
+ .long 2464489612
+ .long 1011545526
+ .long 3777889398
+ .long 1067875403
+ .long 3262682165
+ .long 1009703919
+ .long 3759667419
+ .long 1067940807
+ .long 1838130851
+ .long 3157373556
+ .long 732369940
+ .long 1068006200
+ .long 1203428313
+ .long 1010055371
+ .long 1166616461
+ .long 1068071580
+ .long 2901274051
+ .long 3158549977
+ .long 2945472892
+ .long 1068136947
+ .long 3726120658
+ .long 1009762715
+ .long 3954480976
+ .long 1068202301
+ .long 1289173457
+ .long 1009429861
+ .long 2081752829
+ .long 1068267642
+ .long 1836909874
+ .long 1006212095
+ .long 3807999788
+ .long 1068332968
+ .long 2172459940
+ .long 3156162078
+ .long 2731789884
+ .long 1068398280
+ .long 3450718392
+ .long 3159216547
+ .long 1044477961
+ .long 1068463577
+ .long 2230553229
+ .long 1011424339
+ .long 1486930287
+ .long 1068530218
+ .long 2861547474
+ .long 1012041376
+ .long 2293016881
+ .long 1068595466
+ .long 136843272
+ .long 1012684797
+ .long 201518157
+ .long 1068660680
+ .long 63231984
+ .long 1012427198
+ .long 4054234584
+ .long 1068725856
+ .long 3927006960
+ .long 1011878955
+ .long 1246477213
+ .long 1068790995
+ .long 1494265652
+ .long 3155219350
+ .long 678186699
+ .long 1068856093
+ .long 1264361424
+ .long 3159256693
+ .long 2690594995
+ .long 1068921148
+ .long 3906996379
+ .long 1009288267
+ .long 3362611517
+ .long 1068986159
+ .long 1650970041
+ .long 3158331771
+ .long 3102162111
+ .long 1069051124
+ .long 365917035
+ .long 3160264153
+ .long 2352611067
+ .long 1069116041
+ .long 4008970190
+ .long 3159478182
+ .long 1594134794
+ .long 1069180908
+ .long 466690178
+ .long 1012526501
+ .long 1345079306
+ .long 1069245723
+ .long 2268273568
+ .long 3160164092
+ .long 2163300970
+ .long 1069310484
+ .long 2750834800
+ .long 3158113482
+ .long 352522716
+ .long 1069375190
+ .long 1750411372
+ .long 1011790845
+ .long 848541647
+ .long 1069439838
+ .long 2164207573
+ .long 1011698350
+ .long 40647312
+ .long 1069504427
+ .long 2949165434
+ .long 3159107267
+ .long 2216766270
+ .long 1069574357
+ .long 2197920765
+ .long 3161055954
+ .long 1090914384
+ .long 1069638757
+ .long 2330454674
+ .long 1013365998
+ .long 387601244
+ .long 1069703022
+ .long 3185681168
+ .long 1013434071
+ .long 3991640484
+ .long 1069767144
+ .long 1313211590
+ .long 3161087959
+ .long 3322489502
+ .long 1069831118
+ .long 3013977995
+ .long 1013053011
+ .long 3121698570
+ .long 1069894936
+ .long 4069015667
+ .long 1013023362
+ .long 4289964660
+ .long 1069958591
+ .long 1736191156
+ .long 3158266731
+ .long 3903312386
+ .long 1070022077
+ .long 1833592413
+ .long 3159731471
+ .long 3818449864
+ .long 1070085387
+ .long 851036429
+ .long 3159730451
+ .long 2097480306
+ .long 1070148515
+ .long 3506390884
+ .long 3160462302
+ .long 1611694502
+ .long 1070211454
+ .long 2785735540
+ .long 3160465144
+ .long 1464694796
+ .long 1070274198
+ .long 4229277299
+ .long 3159907000
+ .long 1299612775
+ .long 1070336741
+ .long 4116653788
+ .long 3160427739
+ .long 1310544789
+ .long 1070399077
+ .long 1064430331
+ .long 1013218202
+ .long 2253168030
+ .long 1070461200
+ .long 1405044609
+ .long 3157623179
+ .long 1159567373
+ .long 1070523105
+ .long 2353445521
+ .long 3159992176
+ .long 1359373750
+ .long 1070605818
+ .long 1748171336
+ .long 3161879263
+ .long 908341706
+ .long 1070667034
+ .long 3372710815
+ .long 3161775245
+ .long 1743027350
+ .long 1070727765
+ .long 687089934
+ .long 3160507171
+ .long 2055355646
+ .long 1070787992
+ .long 2392855242
+ .long 1013682469
+ .long 690426164
+ .long 1070847697
+ .long 1103926666
+ .long 1014052810
+ .long 1483247847
+ .long 1070906862
+ .long 2082645847
+ .long 3161345479
+ .long 392040270
+ .long 1070965472
+ .long 2407720023
+ .long 1014053754
+ .long 2673846014
+ .long 1071023511
+ .long 1293605532
+ .long 3158464385
+ .long 1384215810
+ .long 1071080967
+ .long 2446095872
+ .long 3159216407
+ .long 3101660631
+ .long 1071137826
+ .long 698040758
+ .long 1014855328
+ .long 2094057058
+ .long 1071194078
+ .long 2282048339
+ .long 1014040385
+ .long 1712750594
+ .long 1071249712
+ .long 1204372378
+ .long 3162276464
+ .long 1411515787
+ .long 1071304719
+ .long 949080808
+ .long 1015006403
+ .long 931538085
+ .long 1071359091
+ .long 3027127039
+ .long 1014307233
+ .long 179139065
+ .long 1071412821
+ .long 4285547492
+ .long 3161934731
+ .long 3387721259
+ .long 1071465902
+ .long 373225773
+ .long 1013486625
+ .long 2132236852
+ .long 1071544299
+ .long 3250533429
+ .long 1014031677
+ .long 1942070284
+ .long 1071645596
+ .long 1237964179
+ .long 3163239113
+ .long 1532707802
+ .long 1071695380
+ .long 330645583
+ .long 1012495610
+ .long 2294184979
+ .long 1071743834
+ .long 3959472897
+ .long 1015833116
+ .long 3805060714
+ .long 1071790961
+ .long 2671256142
+ .long 1013727772
+ .long 2215037898
+ .long 1071836770
+ .long 2683359117
+ .long 1015831902
+ .long 483661594
+ .long 1071881273
+ .long 836288326
+ .long 3162648643
+ .long 1534679894
+ .long 1071924486
+ .long 373258696
+ .long 3162470096
+ .long 1538714628
+ .long 1071966430
+ .long 3199433068
+ .long 1015325501
+ .long 527642555
+ .long 1072007128
+ .long 3636832592
+ .long 3161843145
+ .long 291339150
+ .long 1072046605
+ .long 890169537
+ .long 3160586117
+ .long 2450210201
+ .long 1072084888
+ .long 1636353294
+ .long 3163193400
+ .long 2411367951
+ .long 1072122007
+ .long 374899873
+ .long 1011331750
+ .long 681549971
+ .long 1072157992
+ .long 506411689
+ .long 1015373954
+ .long 1466745541
+ .long 1072192873
+ .long 2143860931
+ .long 1013364334
+ .long 2845622366
+ .long 1072226682
+ .long 2869178209
+ .long 3162423682
+ .long 2838871438
+ .long 1072275456
+ .long 3742223599
+ .long 1014338577
+ .long 4200275274
+ .long 1072337034
+ .long 1566539915
+ .long 3161839550
+ .long 3034733530
+ .long 1072394897
+ .long 652621408
+ .long 3162261964
+ .long 3207412993
+ .long 1072449290
+ .long 3206124665
+ .long 1014408733
+ .long 624461478
+ .long 1072500450
+ .long 932437485
+ .long 1015204343
+ .long 767665908
+ .long 1072548600
+ .long 1037911952
+ .long 3163527627
+ .long 1110773639
+ .long 1072593952
+ .long 2371517912
+ .long 3160465741
+ .long 1940828530
+ .long 1072636704
+ .long 2731408428
+ .long 3162895795
+ .long 1911329388
+ .long 1072677041
+ .long 1773089615
+ .long 3159569267
+ .long 1764715788
+ .long 1072704191
+ .long 691346949
+ .long 3164069946
+ .long 3332979233
+ .long 1072722195
+ .long 3550733983
+ .long 1014770628
+ .long 1321870254
+ .long 1072739231
+ .long 1415315820
+ .long 1016224052
+ .long 3657429030
+ .long 1072755365
+ .long 3910539033
+ .long 1015966402
+ .long 4197624557
+ .long 1072770661
+ .long 2333399254
+ .long 3164546480
+ .long 1512059493
+ .long 1072785177
+ .long 2701510318
+ .long 1016178092
+ .long 453379037
+ .long 1072798965
+ .long 4046344253
+ .long 3162814364
+ .long 1942345162
+ .long 1072818388
+ .long 621134147
+ .long 1016335195
+ .long 4210176273
+ .long 1072842164
+ .long 2701013387
+ .long 3164326619
+ .long 4185644010
+ .long 1072863795
+ .long 4163699341
+ .long 1016203112
+ .long 679688788
+ .long 1072883543
+ .long 4147276762
+ .long 1014066750
+ .long 29432865
+ .long 1072901630
+ .long 970415797
+ .long 1016902063
+ .long 4070721092
+ .long 1072918247
+ .long 2539004411
+ .long 3163736096
+ .long 2252468843
+ .long 1072933561
+ .long 3424082887
+ .long 3163407177
+ .long 2929724825
+ .long 1072947712
+ .long 3661482235
+ .long 3163846989
+ .long 1377513368
+ .long 1072960824
+ .long 3987926680
+ .long 1013647908
+ .long 1031632908
+ .long 1072973003
+ .long 3672217151
+ .long 1016614619
+ .long 2516508130
+ .long 1072984342
+ .long 545855020
+ .long 3162728930
+ .long 3792452178
+ .long 1072994923
+ .long 3420119467
+ .long 1016471430
+ .long 3147791459
+ .long 1073004818
+ .long 1342204979
+ .long 1013937254
+ .long 999189752
+ .long 1073014090
+ .long 1006335472
+ .long 3162850919
+ .long 711011011
+ .long 1073022794
+ .long 4633488
+ .long 3162966895
+ .long 15640363
+ .long 1073030980
+ .long 1686389560
+ .long 3164376226
+ .long 1218463589
+ .long 1073042382
+ .long 1526837110
+ .long 3163533985
+ .long 2538470555
+ .long 1073056144
+ .long 2273304406
+ .long 3163784996
+ .long 1229720947
+ .long 1073068489
+ .long 2971628206
+ .long 3162356540
+ .long 3115427016
+ .long 1073079621
+ .long 4215132957
+ .long 3164282762
+ .long 4030612557
+ .long 1073089709
+ .long 1913251691
+ .long 3163671292
+ .long 2728521257
+ .long 1073098892
+ .long 2861089500
+ .long 1015454459
+ .long 1118696283
+ .long 1073107285
+ .long 1628948053
+ .long 1016179658
+ .long 2682711255
+ .long 1073114984
+ .long 2906306266
+ .long 1014142643
+ .long 2073898081
+ .long 1073122072
+ .long 1322740454
+ .long 3164497217
+ .long 1403700297
+ .long 1073128618
+ .long 416137895
+ .long 3162781466
+ .long 2502685617
+ .long 1073134681
+ .long 3242008732
+ .long 1014593495
+ .long 1531926851
+ .long 1073140313
+ .long 1362708094
+ .long 1016517604
+ .long 3572814411
+ .long 1073145557
+ .long 3709790527
+ .long 1012646874
+ .long 1695536111
+ .long 1073150453
+ .long 3980346340
+ .long 1016705136
+ .long 2363057203
+ .long 1073155033
+ .long 2551194792
+ .long 1012569695
+ .long 2873365682
+ .long 1073159327
+ .long 3181154748
+ .long 1017041450
+ .long 1053384691
+ .long 1073165288
+ .long 3074536879
+ .long 1016965660
+ .long 3270542712
+ .long 1073172451
+ .long 2535319415
+ .long 3163051778
+ .long 1353631484
+ .long 1073178850
+ .long 1173833755
+ .long 1015534537
+ .long 3511218460
+ .long 1073184599
+ .long 1243608109
+ .long 3161592122
+ .long 4121259284
+ .long 1073189793
+ .long 398584912
+ .long 3163829923
+ .long 1193862106
+ .long 1073194509
+ .long 1873745539
+ .long 3163802819
+ .long 3861949790
+ .long 1073198808
+ .long 3841261147
+ .long 1015587248
+ .long 1486904578
+ .long 1073202745
+ .long 1634726776
+ .long 3163847886
+ .long 2879153715
+ .long 1073206362
+ .long 200456242
+ .long 3164138657
+ .long 385353253
+ .long 1073209698
+ .long 1186355517
+ .long 1014887155
+ .long 1125865839
+ .long 1073212783
+ .long 203561262
+ .long 3161244927
+ .long 1221361475
+ .long 1073215645
+ .long 3382476563
+ .long 1014936138
+ .long 2077323573
+ .long 1073218307
+ .long 1005121005
+ .long 3164430752
+ .long 215611373
+ .long 1073220790
+ .long 353198764
+ .long 3164485137
+ .long 2347419265
+ .long 1073223110
+ .long 1103143360
+ .long 1016542137
+ .long 1379112765
+ .long 1073225284
+ .long 381583533
+ .long 3162870833
+ .long 3891198463
+ .long 1073228298
+ .long 1771275754
+ .long 1014654681
+ .long 3395914051
+ .long 1073231917
+ .long 2350900914
+ .long 3164013978
+ .long 2799919478
+ .long 1073235146
+ .long 2893950164
+ .long 3163260901
+ .long 1138673476
+ .long 1073238045
+ .long 2622204785
+ .long 3164174388
+ .long 3408855940
+ .long 1073240661
+ .long 2800881650
+ .long 1016008624
+ .long 2044858738
+ .long 1073243035
+ .long 604544785
+ .long 1017022901
+ .long 2578795176
+ .long 1073245198
+ .long 2557332925
+ .long 1016135165
+ .long 4196285314
+ .long 1073247177
+ .long 2032365307
+ .long 1016194735
+ .long 224877747
+ .long 1073248996
+ .long 497926916
+ .long 1016947111
+ .long 3271386490
+ .long 1073250671
+ .long 2689994846
+ .long 1016631513
+ .long 813635989
+ .long 1073252221
+ .long 747035277
+ .long 3164530136
+ .long 369829519
+ .long 1073253658
+ .long 2182033858
+ .long 3163190340
+ .long 1187679052
+ .long 1073254994
+ .long 673954443
+ .long 1016149821
+ .long 4232586098
+ .long 1073256239
+ .long 497775200
+ .long 3162179015
+ .long 426690558
+ .long 1073257404
+ .long 3063343247
+ .long 1016865578
+ .long 1624065902
+ .long 1073258494
+ .long 1354224996
+ .long 3163503778
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .type atan_tbl,@object
+ .size atan_tbl,2592
+ .align 4
+pi_table:
+ .long 1413754136
+ .long 1073291771
+ .long 856972295
+ .long 1016178214
+ .type pi_table,@object
+ .size pi_table,16
+ .align 4
+SGNMASK:
+ .long 4294967295
+ .long 2147483647
+ .type SGNMASK,@object
+ .size SGNMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_atan.1-.
+ .4byte ..___tag_value_atan.5-..___tag_value_atan.1
+ .2byte 0x0400
+ .4byte ..___tag_value_atan.3-..___tag_value_atan.1
+ .2byte 0x100e
+ .byte 0x04
+ .4byte ..___tag_value_atan.4-..___tag_value_atan.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/s_cbrt.S b/libm/x86_64/s_cbrt.S
new file mode 100644
index 0000000..4aa4373
--- /dev/null
+++ b/libm/x86_64/s_cbrt.S
@@ -0,0 +1,754 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Assume x=2^{3*k+j} * 1.b1 b2 ... b5 b6 ... b52, where j = 0,1,2.
+// Let r=(x*2^{-3k-j} - 1.b1 b2 ... b5 1)* rcp[b1 b2 ..b5],
+// where rcp[b1 b2 .. b5]=1/(1.b1 b2 b3 b4 b5 1) in double precision
+// cbrt(2^j * 1. b1 b2 .. b5 1) is approximated as T[j][b1..b5]+D[j][b1..b5]
+// (T stores the high 53 bits, D stores the low order bits)
+// Result=2^k*T+(2^k*T*r)*P+2^k*D
+// where P=p1+p2*r+..+p8*r^7
+//
+// Special cases:
+// cbrt(NaN) = quiet NaN, and raise invalid exception
+// cbrt(INF) = that INF
+// cbrt(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin cbrt
+ENTRY(cbrt)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_cbrt.1:
+ subq $24, %rsp
+..___tag_value_cbrt.3:
+ movsd %xmm0, (%rsp)
+..B1.2:
+ movq %xmm0, %xmm7
+ movl $524032, %edx
+ movsd EXP_MSK3(%rip), %xmm5
+ movsd EXP_MSK2(%rip), %xmm3
+ psrlq $44, %xmm7
+ pextrw $0, %xmm7, %ecx
+ movd %xmm7, %eax
+ movsd EXP_MASK(%rip), %xmm1
+ movsd SIG_MASK(%rip), %xmm2
+ andl $248, %ecx
+ lea rcp_table(%rip), %r8
+ movsd (%rcx,%r8), %xmm4
+ movq %rax, %r9
+ andl %eax, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_0.0.1
+ cmpl $524032, %edx
+ je .L_2TAG_PACKET_1.0.1
+ shrl $8, %edx
+ shrq $8, %r9
+ andpd %xmm0, %xmm2
+ andpd %xmm5, %xmm0
+ orpd %xmm2, %xmm3
+ orpd %xmm0, %xmm1
+ movapd coeff_table(%rip), %xmm5
+ movl $5462, %eax
+ movapd 16+coeff_table(%rip), %xmm6
+ mull %edx
+ movq %r9, %rdx
+ andq $2047, %r9
+ shrl $14, %eax
+ andl $2048, %edx
+ subq %rax, %r9
+ subq %rax, %r9
+ subq %rax, %r9
+ shlq $8, %r9
+ addl $682, %eax
+ orl %edx, %eax
+ movd %eax, %xmm7
+ addq %r9, %rcx
+ psllq $52, %xmm7
+.L_2TAG_PACKET_2.0.1:
+ movapd 32+coeff_table(%rip), %xmm2
+ movapd 48+coeff_table(%rip), %xmm0
+ subsd %xmm3, %xmm1
+ movq %xmm7, %xmm3
+ lea cbrt_table(%rip), %r8
+ mulsd (%rcx,%r8), %xmm7
+ mulsd %xmm4, %xmm1
+ lea D_table(%rip), %r8
+ mulsd (%rcx,%r8), %xmm3
+ movapd %xmm1, %xmm4
+ unpcklpd %xmm1, %xmm1
+ mulpd %xmm1, %xmm5
+ mulpd %xmm1, %xmm6
+ mulpd %xmm1, %xmm1
+ addpd %xmm5, %xmm2
+ addpd %xmm6, %xmm0
+ mulpd %xmm1, %xmm2
+ mulpd %xmm1, %xmm1
+ mulsd %xmm7, %xmm4
+ addpd %xmm2, %xmm0
+ mulsd %xmm0, %xmm1
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ mulsd %xmm4, %xmm0
+ addsd %xmm3, %xmm0
+ addsd %xmm7, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_0.0.1:
+ mulsd SCALE63(%rip), %xmm0
+ movq %xmm0, %xmm7
+ movl $524032, %edx
+ psrlq $44, %xmm7
+ pextrw $0, %xmm7, %ecx
+ movd %xmm7, %eax
+ andl $248, %ecx
+ lea rcp_table(%rip), %r8
+ movsd (%rcx,%r8), %xmm4
+ movq %rax, %r9
+ andl %eax, %edx
+ shrl $8, %edx
+ shrq $8, %r9
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_3.0.1
+ andpd %xmm0, %xmm2
+ andpd %xmm5, %xmm0
+ orpd %xmm2, %xmm3
+ orpd %xmm0, %xmm1
+ movapd coeff_table(%rip), %xmm5
+ movl $5462, %eax
+ movapd 16+coeff_table(%rip), %xmm6
+ mull %edx
+ movq %r9, %rdx
+ andq $2047, %r9
+ shrl $14, %eax
+ andl $2048, %edx
+ subq %rax, %r9
+ subq %rax, %r9
+ subq %rax, %r9
+ shlq $8, %r9
+ addl $661, %eax
+ orl %edx, %eax
+ movd %eax, %xmm7
+ addq %r9, %rcx
+ psllq $52, %xmm7
+ jmp .L_2TAG_PACKET_2.0.1
+.L_2TAG_PACKET_3.0.1:
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_4.0.1
+ xorpd %xmm0, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_4.0.1:
+ movsd ZERON(%rip), %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_1.0.1:
+ movl 4(%rsp), %eax
+ movl (%rsp), %edx
+ movl %eax, %ecx
+ andl $2147483647, %ecx
+ cmpl $2146435072, %ecx
+ ja .L_2TAG_PACKET_5.0.1
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_5.0.1
+ cmpl $2146435072, %eax
+ jne .L_2TAG_PACKET_6.0.1
+ movsd INF(%rip), %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_6.0.1:
+ movsd NEG_INF(%rip), %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_5.0.1:
+ movsd (%rsp), %xmm0
+ addsd %xmm0, %xmm0
+ movq %xmm0, 8(%rsp)
+.L_2TAG_PACKET_7.0.1:
+..B1.4:
+ addq $24, %rsp
+..___tag_value_cbrt.4:
+ ret
+..___tag_value_cbrt.5:
+END(cbrt)
+# -- End cbrt
+ .section .rodata, "a"
+ .align 16
+ .align 16
+coeff_table:
+ .long 1553778919
+ .long 3213899486
+ .long 3534952507
+ .long 3215266280
+ .long 1646371399
+ .long 3214412045
+ .long 477218588
+ .long 3216798151
+ .long 3582521621
+ .long 1066628362
+ .long 1007461464
+ .long 1068473053
+ .long 889629714
+ .long 1067378449
+ .long 1431655765
+ .long 1070945621
+ .type coeff_table,@object
+ .size coeff_table,64
+ .align 4
+EXP_MSK3:
+ .long 4294967295
+ .long 1048575
+ .type EXP_MSK3,@object
+ .size EXP_MSK3,8
+ .align 4
+EXP_MSK2:
+ .long 0
+ .long 3220193280
+ .type EXP_MSK2,@object
+ .size EXP_MSK2,8
+ .align 4
+EXP_MASK:
+ .long 0
+ .long 3220176896
+ .type EXP_MASK,@object
+ .size EXP_MASK,8
+ .align 4
+SIG_MASK:
+ .long 0
+ .long 1032192
+ .type SIG_MASK,@object
+ .size SIG_MASK,8
+ .align 4
+rcp_table:
+ .long 528611360
+ .long 3220144632
+ .long 2884679527
+ .long 3220082993
+ .long 1991868891
+ .long 3220024928
+ .long 2298714891
+ .long 3219970134
+ .long 58835168
+ .long 3219918343
+ .long 3035110223
+ .long 3219869313
+ .long 1617585086
+ .long 3219822831
+ .long 2500867033
+ .long 3219778702
+ .long 4241943008
+ .long 3219736752
+ .long 258732970
+ .long 3219696825
+ .long 404232216
+ .long 3219658776
+ .long 2172167368
+ .long 3219622476
+ .long 1544257904
+ .long 3219587808
+ .long 377579543
+ .long 3219554664
+ .long 1616385542
+ .long 3219522945
+ .long 813783277
+ .long 3219492562
+ .long 3940743189
+ .long 3219463431
+ .long 2689777499
+ .long 3219435478
+ .long 1700977147
+ .long 3219408632
+ .long 3169102082
+ .long 3219382828
+ .long 327235604
+ .long 3219358008
+ .long 1244336319
+ .long 3219334115
+ .long 1300311200
+ .long 3219311099
+ .long 3095471925
+ .long 3219288912
+ .long 2166487928
+ .long 3219267511
+ .long 2913108253
+ .long 3219246854
+ .long 293672978
+ .long 3219226904
+ .long 288737297
+ .long 3219207624
+ .long 1810275472
+ .long 3219188981
+ .long 174592167
+ .long 3219170945
+ .long 3539053052
+ .long 3219153485
+ .long 2164392968
+ .long 3219136576
+ .type rcp_table,@object
+ .size rcp_table,256
+ .align 4
+cbrt_table:
+ .long 572345495
+ .long 1072698681
+ .long 1998204467
+ .long 1072709382
+ .long 3861501553
+ .long 1072719872
+ .long 2268192434
+ .long 1072730162
+ .long 2981979308
+ .long 1072740260
+ .long 270859143
+ .long 1072750176
+ .long 2958651392
+ .long 1072759916
+ .long 313113243
+ .long 1072769490
+ .long 919449400
+ .long 1072778903
+ .long 2809328903
+ .long 1072788162
+ .long 2222981587
+ .long 1072797274
+ .long 2352530781
+ .long 1072806244
+ .long 594152517
+ .long 1072815078
+ .long 1555767199
+ .long 1072823780
+ .long 4282421314
+ .long 1072832355
+ .long 2355578597
+ .long 1072840809
+ .long 1162590619
+ .long 1072849145
+ .long 797864051
+ .long 1072857367
+ .long 431273680
+ .long 1072865479
+ .long 2669831148
+ .long 1072873484
+ .long 733477752
+ .long 1072881387
+ .long 4280220604
+ .long 1072889189
+ .long 801961634
+ .long 1072896896
+ .long 2915370760
+ .long 1072904508
+ .long 1159613482
+ .long 1072912030
+ .long 2689944798
+ .long 1072919463
+ .long 1248687822
+ .long 1072926811
+ .long 2967951030
+ .long 1072934075
+ .long 630170432
+ .long 1072941259
+ .long 3760898254
+ .long 1072948363
+ .long 0
+ .long 1072955392
+ .long 2370273294
+ .long 1072962345
+ .long 1261754802
+ .long 1072972640
+ .long 546334065
+ .long 1072986123
+ .long 1054893830
+ .long 1072999340
+ .long 1571187597
+ .long 1073012304
+ .long 1107975175
+ .long 1073025027
+ .long 3606909377
+ .long 1073037519
+ .long 1113616747
+ .long 1073049792
+ .long 4154744632
+ .long 1073061853
+ .long 3358931423
+ .long 1073073713
+ .long 4060702372
+ .long 1073085379
+ .long 747576176
+ .long 1073096860
+ .long 3023138255
+ .long 1073108161
+ .long 1419988548
+ .long 1073119291
+ .long 1914185305
+ .long 1073130255
+ .long 294389948
+ .long 1073141060
+ .long 3761802570
+ .long 1073151710
+ .long 978281566
+ .long 1073162213
+ .long 823148820
+ .long 1073172572
+ .long 2420954441
+ .long 1073182792
+ .long 3815449908
+ .long 1073192878
+ .long 2046058587
+ .long 1073202835
+ .long 1807524753
+ .long 1073212666
+ .long 2628681401
+ .long 1073222375
+ .long 3225667357
+ .long 1073231966
+ .long 1555307421
+ .long 1073241443
+ .long 3454043099
+ .long 1073250808
+ .long 1208137896
+ .long 1073260066
+ .long 3659916772
+ .long 1073269218
+ .long 1886261264
+ .long 1073278269
+ .long 3593647839
+ .long 1073287220
+ .long 3086012205
+ .long 1073296075
+ .long 2769796922
+ .long 1073304836
+ .long 888716057
+ .long 1073317807
+ .long 2201465623
+ .long 1073334794
+ .long 164369365
+ .long 1073351447
+ .long 3462666733
+ .long 1073367780
+ .long 2773905457
+ .long 1073383810
+ .long 1342879088
+ .long 1073399550
+ .long 2543933975
+ .long 1073415012
+ .long 1684477781
+ .long 1073430209
+ .long 3532178543
+ .long 1073445151
+ .long 1147747300
+ .long 1073459850
+ .long 1928031793
+ .long 1073474314
+ .long 2079717015
+ .long 1073488553
+ .long 4016765315
+ .long 1073502575
+ .long 3670431139
+ .long 1073516389
+ .long 3549227225
+ .long 1073530002
+ .long 11637607
+ .long 1073543422
+ .long 588220169
+ .long 1073556654
+ .long 2635407503
+ .long 1073569705
+ .long 2042029317
+ .long 1073582582
+ .long 1925128962
+ .long 1073595290
+ .long 4136375664
+ .long 1073607834
+ .long 759964600
+ .long 1073620221
+ .long 4257606771
+ .long 1073632453
+ .long 297278907
+ .long 1073644538
+ .long 3655053093
+ .long 1073656477
+ .long 2442253172
+ .long 1073668277
+ .long 1111876799
+ .long 1073679941
+ .long 3330973139
+ .long 1073691472
+ .long 3438879452
+ .long 1073702875
+ .long 3671565478
+ .long 1073714153
+ .long 1317849547
+ .long 1073725310
+ .long 1642364115
+ .long 1073736348
+ .type cbrt_table,@object
+ .size cbrt_table,768
+ .align 4
+D_table:
+ .long 4050900474
+ .long 1014427190
+ .long 1157977860
+ .long 1016444461
+ .long 1374568199
+ .long 1017271387
+ .long 2809163288
+ .long 1016882676
+ .long 3742377377
+ .long 1013168191
+ .long 3101606597
+ .long 1017541672
+ .long 65224358
+ .long 1017217597
+ .long 2691591250
+ .long 1017266643
+ .long 4020758549
+ .long 1017689313
+ .long 1316310992
+ .long 1018030788
+ .long 1031537856
+ .long 1014090882
+ .long 3261395239
+ .long 1016413641
+ .long 886424999
+ .long 1016313335
+ .long 3114776834
+ .long 1014195875
+ .long 1681120620
+ .long 1017825416
+ .long 1329600273
+ .long 1016625740
+ .long 465474623
+ .long 1017097119
+ .long 4251633980
+ .long 1017169077
+ .long 1986990133
+ .long 1017710645
+ .long 752958613
+ .long 1017159641
+ .long 2216216792
+ .long 1018020163
+ .long 4282860129
+ .long 1015924861
+ .long 1557627859
+ .long 1016039538
+ .long 3889219754
+ .long 1018086237
+ .long 3684996408
+ .long 1017353275
+ .long 723532103
+ .long 1017717141
+ .long 2951149676
+ .long 1012528470
+ .long 831890937
+ .long 1017830553
+ .long 1031212645
+ .long 1017387331
+ .long 2741737450
+ .long 1017604974
+ .long 2863311531
+ .long 1003776682
+ .long 4276736099
+ .long 1013153088
+ .long 4111778382
+ .long 1015673686
+ .long 1728065769
+ .long 1016413986
+ .long 2708718031
+ .long 1018078833
+ .long 1069335005
+ .long 1015291224
+ .long 700037144
+ .long 1016482032
+ .long 2904566452
+ .long 1017226861
+ .long 4074156649
+ .long 1017622651
+ .long 25019565
+ .long 1015245366
+ .long 3601952608
+ .long 1015771755
+ .long 3267129373
+ .long 1017904664
+ .long 503203103
+ .long 1014921629
+ .long 2122011730
+ .long 1018027866
+ .long 3927295461
+ .long 1014189456
+ .long 2790625147
+ .long 1016024251
+ .long 1330460186
+ .long 1016940346
+ .long 4033568463
+ .long 1015538390
+ .long 3695818227
+ .long 1017509621
+ .long 257573361
+ .long 1017208868
+ .long 3227697852
+ .long 1017337964
+ .long 234118548
+ .long 1017169577
+ .long 4009025803
+ .long 1017278524
+ .long 1948343394
+ .long 1017749310
+ .long 678398162
+ .long 1018144239
+ .long 3083864863
+ .long 1016669086
+ .long 2415453452
+ .long 1017890370
+ .long 175467344
+ .long 1017330033
+ .long 3197359580
+ .long 1010339928
+ .long 2071276951
+ .long 1015941358
+ .long 268372543
+ .long 1016737773
+ .long 938132959
+ .long 1017389108
+ .long 1816750559
+ .long 1017337448
+ .long 4119203749
+ .long 1017152174
+ .long 2578653878
+ .long 1013108497
+ .long 2470331096
+ .long 1014678606
+ .long 123855735
+ .long 1016553320
+ .long 1265650889
+ .long 1014782687
+ .long 3414398172
+ .long 1017182638
+ .long 1040773369
+ .long 1016158401
+ .long 3483628886
+ .long 1016886550
+ .long 4140499405
+ .long 1016191425
+ .long 3893477850
+ .long 1016964495
+ .long 3935319771
+ .long 1009634717
+ .long 2978982660
+ .long 1015027112
+ .long 2452709923
+ .long 1017990229
+ .long 3190365712
+ .long 1015835149
+ .long 4237588139
+ .long 1015832925
+ .long 2610678389
+ .long 1017962711
+ .long 2127316774
+ .long 1017405770
+ .long 824267502
+ .long 1017959463
+ .long 2165924042
+ .long 1017912225
+ .long 2774007076
+ .long 1013257418
+ .long 4123916326
+ .long 1017582284
+ .long 1976417958
+ .long 1016959909
+ .long 4092806412
+ .long 1017711279
+ .long 119251817
+ .long 1015363631
+ .long 3475418768
+ .long 1017675415
+ .long 1972580503
+ .long 1015470684
+ .long 815541017
+ .long 1017517969
+ .long 2429917451
+ .long 1017397776
+ .long 4062888482
+ .long 1016749897
+ .long 68284153
+ .long 1017925678
+ .long 2207779246
+ .long 1016320298
+ .long 1183466520
+ .long 1017408657
+ .long 143326427
+ .long 1017060403
+ .type D_table,@object
+ .size D_table,768
+ .align 4
+SCALE63:
+ .long 0
+ .long 1138753536
+ .type SCALE63,@object
+ .size SCALE63,8
+ .align 4
+ZERON:
+ .long 0
+ .long 2147483648
+ .type ZERON,@object
+ .size ZERON,8
+ .align 4
+INF:
+ .long 0
+ .long 2146435072
+ .type INF,@object
+ .size INF,8
+ .align 4
+NEG_INF:
+ .long 0
+ .long 4293918720
+ .type NEG_INF,@object
+ .size NEG_INF,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_cbrt.1-.
+ .4byte ..___tag_value_cbrt.5-..___tag_value_cbrt.1
+ .2byte 0x0400
+ .4byte ..___tag_value_cbrt.3-..___tag_value_cbrt.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_cbrt.4-..___tag_value_cbrt.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/s_cos.S b/libm/x86_64/s_cos.S
new file mode 100644
index 0000000..ab5a0e1
--- /dev/null
+++ b/libm/x86_64/s_cos.S
@@ -0,0 +1,1275 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// 1. RANGE REDUCTION
+//
+// We perform an initial range reduction from X to r with
+//
+// X =~= N * pi/32 + r
+//
+// so that |r| <= pi/64 + epsilon. We restrict inputs to those
+// where |N| <= 932560. Beyond this, the range reduction is
+// insufficiently accurate. For extremely small inputs,
+// denormalization can occur internally, impacting performance.
+// This means that the main path is actually only taken for
+// 2^-252 <= |X| < 90112.
+//
+// To avoid branches, we perform the range reduction to full
+// accuracy each time.
+//
+// X - N * (P_1 + P_2 + P_3)
+//
+// where P_1 and P_2 are 32-bit numbers (so multiplication by N
+// is exact) and P_3 is a 53-bit number. Together, these
+// approximate pi well enough for all cases in the restricted
+// range.
+//
+// The main reduction sequence is:
+//
+// y = 32/pi * x
+// N = integer(y)
+// (computed by adding and subtracting off SHIFTER)
+//
+// m_1 = N * P_1
+// m_2 = N * P_2
+// r_1 = x - m_1
+// r = r_1 - m_2
+// (this r can be used for most of the calculation)
+//
+// c_1 = r_1 - r
+// m_3 = N * P_3
+// c_2 = c_1 - m_2
+// c = c_2 - m_3
+//
+// 2. MAIN ALGORITHM
+//
+// The algorithm uses a table lookup based on B = M * pi / 32
+// where M = N mod 64. The stored values are:
+// sigma closest power of 2 to cos(B)
+// C_hl 53-bit cos(B) - sigma
+// S_hi + S_lo 2 * 53-bit sin(B)
+//
+// The computation is organized as follows:
+//
+// sin(B + r + c) = [sin(B) + sigma * r] +
+// r * (cos(B) - sigma) +
+// sin(B) * [cos(r + c) - 1] +
+// cos(B) * [sin(r + c) - r]
+//
+// which is approximately:
+//
+// [S_hi + sigma * r] +
+// C_hl * r +
+// S_lo + S_hi * [(cos(r) - 1) - r * c] +
+// (C_hl + sigma) * [(sin(r) - r) + c]
+//
+// and this is what is actually computed. We separate this sum
+// into four parts:
+//
+// hi + med + pols + corr
+//
+// where
+//
+// hi = S_hi + sigma r
+// med = C_hl * r
+// pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+// corr = S_lo + c * ((C_hl + sigma) - S_hi * r)
+//
+// 3. POLYNOMIAL
+//
+// The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+// (sin(r) - r) can be rearranged freely, since it is quite
+// small, so we exploit parallelism to the fullest.
+//
+// psc4 = SC_4 * r_1
+// msc4 = psc4 * r
+// r2 = r * r
+// msc2 = SC_2 * r2
+// r4 = r2 * r2
+// psc3 = SC_3 + msc4
+// psc1 = SC_1 + msc2
+// msc3 = r4 * psc3
+// sincospols = psc1 + msc3
+// pols = sincospols *
+// <S_hi * r^2 | (C_hl + sigma) * r^3>
+//
+// 4. CORRECTION TERM
+//
+// This is where the "c" component of the range reduction is
+// taken into account; recall that just "r" is used for most of
+// the calculation.
+//
+// -c = m_3 - c_2
+// -d = S_hi * r - (C_hl + sigma)
+// corr = -c * -d + S_lo
+//
+// 5. COMPENSATED SUMMATIONS
+//
+// The two successive compensated summations add up the high
+// and medium parts, leaving just the low parts to add up at
+// the end.
+//
+// rs = sigma * r
+// res_int = S_hi + rs
+// k_0 = S_hi - res_int
+// k_2 = k_0 + rs
+// med = C_hl * r
+// res_hi = res_int + med
+// k_1 = res_int - res_hi
+// k_3 = k_1 + med
+//
+// 6. FINAL SUMMATION
+//
+// We now add up all the small parts:
+//
+// res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+//
+// Now the overall result is just:
+//
+// res_hi + res_lo
+//
+// 7. SMALL ARGUMENTS
+//
+// Inputs with |X| < 2^-252 are treated specially as
+// 1 - |x|.
+//
+// Special cases:
+// cos(NaN) = quiet NaN, and raise invalid exception
+// cos(INF) = NaN and raise invalid exception
+// cos(0) = 1
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin cos
+ENTRY(cos)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_cos.1:
+ pushq %rbx
+..___tag_value_cos.3:
+ subq $16, %rsp
+..___tag_value_cos.5:
+ movsd %xmm0, 8(%rsp)
+..B1.2:
+ movl 12(%rsp), %eax
+ movq PI32INV(%rip), %xmm1
+ andl $2147418112, %eax
+ subl $808452096, %eax
+ cmpl $281346048, %eax
+ ja .L_2TAG_PACKET_0.0.1
+ mulsd %xmm0, %xmm1
+ movapd ONEHALF(%rip), %xmm5
+ movq SIGN_MASK(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %edx
+ cvtsi2sd %edx, %xmm1
+ movapd P_2(%rip), %xmm2
+ movq P_1(%rip), %xmm3
+ mulsd %xmm1, %xmm3
+ unpcklpd %xmm1, %xmm1
+ addq $1865232, %rdx
+ movq %xmm0, %xmm4
+ andq $63, %rdx
+ movapd SC_4(%rip), %xmm5
+ lea Ctable(%rip), %rax
+ shlq $5, %rdx
+ addq %rdx, %rax
+ mulpd %xmm1, %xmm2
+ subsd %xmm3, %xmm0
+ mulsd P_3(%rip), %xmm1
+ subsd %xmm3, %xmm4
+ movq 8(%rax), %xmm7
+ unpcklpd %xmm0, %xmm0
+ movq %xmm4, %xmm3
+ subsd %xmm2, %xmm4
+ mulpd %xmm0, %xmm5
+ subpd %xmm2, %xmm0
+ movapd SC_2(%rip), %xmm6
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm2, %xmm3
+ movapd (%rax), %xmm2
+ subsd %xmm3, %xmm1
+ movq 24(%rax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd SC_3(%rip), %xmm5
+ mulsd (%rax), %xmm4
+ addpd SC_1(%rip), %xmm6
+ mulpd %xmm0, %xmm5
+ movq %xmm3, %xmm0
+ addsd 8(%rax), %xmm3
+ mulpd %xmm7, %xmm1
+ movq %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movq 8(%rax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%rax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm5, %xmm0
+ addsd %xmm7, %xmm3
+ addsd %xmm1, %xmm0
+ addsd %xmm3, %xmm0
+ addsd %xmm6, %xmm0
+ unpckhpd %xmm6, %xmm6
+ addsd %xmm6, %xmm0
+ addsd %xmm4, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_0.0.1:
+ jg .L_2TAG_PACKET_1.0.1
+ pextrw $3, %xmm0, %eax
+ andw $32767, %ax
+ pinsrw $3, %eax, %xmm0
+ movq ONE(%rip), %xmm1
+ subsd %xmm0, %xmm1
+ movq %xmm1, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_1.0.1:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_2.0.1
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ subl $16224, %ecx
+ shrl $7, %ecx
+ andl $65532, %ecx
+ lea PI_INV_TABLE(%rip), %r11
+ addq %r11, %rcx
+ movd %xmm0, %rax
+ movl 20(%rcx), %r10d
+ movl 24(%rcx), %r8d
+ movl %eax, %edx
+ shrq $21, %rax
+ orl $-2147483648, %eax
+ shrl $11, %eax
+ movl %r10d, %r9d
+ imulq %rdx, %r10
+ imulq %rax, %r9
+ imulq %rax, %r8
+ movl 16(%rcx), %esi
+ movl 12(%rcx), %edi
+ movl %r10d, %r11d
+ shrq $32, %r10
+ addq %r10, %r9
+ addq %r8, %r11
+ movl %r11d, %r8d
+ shrq $32, %r11
+ addq %r11, %r9
+ movl %esi, %r10d
+ imulq %rdx, %rsi
+ imulq %rax, %r10
+ movl %edi, %r11d
+ imulq %rdx, %rdi
+ movl %esi, %ebx
+ shrq $32, %rsi
+ addq %rbx, %r9
+ movl %r9d, %ebx
+ shrq $32, %r9
+ addq %rsi, %r10
+ addq %r9, %r10
+ shlq $32, %rbx
+ orq %rbx, %r8
+ imulq %rax, %r11
+ movl 8(%rcx), %r9d
+ movl 4(%rcx), %esi
+ movl %edi, %ebx
+ shrq $32, %rdi
+ addq %rbx, %r10
+ movl %r10d, %ebx
+ shrq $32, %r10
+ addq %rdi, %r11
+ addq %r10, %r11
+ movq %r9, %rdi
+ imulq %rdx, %r9
+ imulq %rax, %rdi
+ movl %r9d, %r10d
+ shrq $32, %r9
+ addq %r10, %r11
+ movl %r11d, %r10d
+ shrq $32, %r11
+ addq %r9, %rdi
+ addq %r11, %rdi
+ movq %rsi, %r9
+ imulq %rdx, %rsi
+ imulq %rax, %r9
+ shlq $32, %r10
+ orq %rbx, %r10
+ movl (%rcx), %eax
+ movl %esi, %r11d
+ shrq $32, %rsi
+ addq %r11, %rdi
+ movl %edi, %r11d
+ shrq $32, %rdi
+ addq %rsi, %r9
+ addq %rdi, %r9
+ imulq %rax, %rdx
+ pextrw $3, %xmm0, %ebx
+ lea PI_INV_TABLE(%rip), %rdi
+ subq %rdi, %rcx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl $19, %ecx
+ movl $32768, %esi
+ andl %ebx, %esi
+ shrl $4, %ebx
+ andl $2047, %ebx
+ subl $1023, %ebx
+ subl %ebx, %ecx
+ addq %rdx, %r9
+ movl %ecx, %edx
+ addl $32, %edx
+ cmpl $1, %ecx
+ jl .L_2TAG_PACKET_3.0.1
+ negl %ecx
+ addl $29, %ecx
+ shll %cl, %r9d
+ movl %r9d, %edi
+ andl $536870911, %r9d
+ testl $268435456, %r9d
+ jne .L_2TAG_PACKET_4.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+.L_2TAG_PACKET_5.0.1:
+.L_2TAG_PACKET_6.0.1:
+ cmpq $0, %r9
+ je .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_8.0.1:
+ bsr %r9, %r11
+ movl $29, %ecx
+ subl %r11d, %ecx
+ jle .L_2TAG_PACKET_9.0.1
+ shlq %cl, %r9
+ movq %r10, %rax
+ shlq %cl, %r10
+ addl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shrq %cl, %rax
+ shrq %cl, %r8
+ orq %rax, %r9
+ orq %r8, %r10
+.L_2TAG_PACKET_10.0.1:
+ cvtsi2sdq %r9, %xmm0
+ shrq $1, %r10
+ cvtsi2sdq %r10, %xmm3
+ xorpd %xmm4, %xmm4
+ shll $4, %edx
+ negl %edx
+ addl $16368, %edx
+ orl %esi, %edx
+ xorl %ebx, %edx
+ pinsrw $3, %edx, %xmm4
+ movq PI_4(%rip), %xmm2
+ movq 8+PI_4(%rip), %xmm6
+ xorpd %xmm5, %xmm5
+ subl $1008, %edx
+ pinsrw $3, %edx, %xmm5
+ mulsd %xmm4, %xmm0
+ shll $16, %esi
+ sarl $31, %esi
+ mulsd %xmm5, %xmm3
+ movq %xmm0, %xmm1
+ mulsd %xmm2, %xmm0
+ shrl $29, %edi
+ addsd %xmm3, %xmm1
+ mulsd %xmm2, %xmm3
+ addl %esi, %edi
+ xorl %esi, %edi
+ mulsd %xmm1, %xmm6
+ movl %edi, %eax
+ addsd %xmm3, %xmm6
+ movq %xmm0, %xmm2
+ addsd %xmm6, %xmm0
+ subsd %xmm0, %xmm2
+ addsd %xmm2, %xmm6
+.L_2TAG_PACKET_11.0.1:
+ movq PI32INV(%rip), %xmm1
+ mulsd %xmm0, %xmm1
+ movq ONEHALF(%rip), %xmm5
+ movq SIGN_MASK(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %rdx
+ cvtsi2sdq %rdx, %xmm1
+ movq P_1(%rip), %xmm3
+ movapd P_2(%rip), %xmm2
+ mulsd %xmm1, %xmm3
+ unpcklpd %xmm1, %xmm1
+ shll $3, %eax
+ addl $1865232, %edx
+ movq %xmm0, %xmm4
+ addl %eax, %edx
+ andl $63, %edx
+ movapd SC_4(%rip), %xmm5
+ lea Ctable(%rip), %rax
+ shll $5, %edx
+ addq %rdx, %rax
+ mulpd %xmm1, %xmm2
+ subsd %xmm3, %xmm0
+ mulsd P_3(%rip), %xmm1
+ subsd %xmm3, %xmm4
+ movq 8(%rax), %xmm7
+ unpcklpd %xmm0, %xmm0
+ movq %xmm4, %xmm3
+ subsd %xmm2, %xmm4
+ mulpd %xmm0, %xmm5
+ subpd %xmm2, %xmm0
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm2, %xmm3
+ movapd (%rax), %xmm2
+ subsd %xmm3, %xmm1
+ movq 24(%rax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ subsd %xmm6, %xmm1
+ movapd SC_2(%rip), %xmm6
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd SC_3(%rip), %xmm5
+ mulsd (%rax), %xmm4
+ addpd SC_1(%rip), %xmm6
+ mulpd %xmm0, %xmm5
+ movq %xmm3, %xmm0
+ addsd 8(%rax), %xmm3
+ mulpd %xmm7, %xmm1
+ movq %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movq 8(%rax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%rax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm0, %xmm5
+ addsd %xmm7, %xmm3
+ addsd %xmm5, %xmm1
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ unpckhpd %xmm6, %xmm6
+ movq %xmm4, %xmm0
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_7.0.1:
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ movq $0, %r8
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_8.0.1
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_8.0.1
+ xorpd %xmm0, %xmm0
+ xorpd %xmm6, %xmm6
+ jmp .L_2TAG_PACKET_11.0.1
+.L_2TAG_PACKET_9.0.1:
+ je .L_2TAG_PACKET_10.0.1
+ negl %ecx
+ shrq %cl, %r10
+ movq %r9, %rax
+ shrq %cl, %r9
+ subl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shlq %cl, %rax
+ orq %rax, %r10
+ jmp .L_2TAG_PACKET_10.0.1
+.L_2TAG_PACKET_3.0.1:
+ negl %ecx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq %cl, %r9
+ movq %r9, %rdi
+ testl $-2147483648, %r9d
+ jne .L_2TAG_PACKET_12.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shrq $3, %rdi
+ jmp .L_2TAG_PACKET_6.0.1
+.L_2TAG_PACKET_4.0.1:
+ shrl %cl, %r9d
+ movl $536870912, %ebx
+ shrl %cl, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq $32, %rbx
+ addl $536870912, %edi
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ jmp .L_2TAG_PACKET_5.0.1
+.L_2TAG_PACKET_12.0.1:
+ shrl %cl, %r9d
+ movq $0x100000000, %rbx
+ shrq %cl, %rbx
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ shrq $3, %rdi
+ addl $536870912, %edi
+ jmp .L_2TAG_PACKET_6.0.1
+.L_2TAG_PACKET_2.0.1:
+ movsd 8(%rsp), %xmm0
+ mulsd NEG_ZERO(%rip), %xmm0
+ movq %xmm0, (%rsp)
+.L_2TAG_PACKET_13.0.1:
+..B1.4:
+ addq $16, %rsp
+..___tag_value_cos.6:
+ popq %rbx
+..___tag_value_cos.8:
+ ret
+..___tag_value_cos.9:
+END(cos)
+# -- End cos
+ .section .rodata, "a"
+ .align 16
+ .align 16
+ONEHALF:
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .type ONEHALF,@object
+ .size ONEHALF,16
+ .align 16
+P_2:
+ .long 442499072
+ .long 1032893537
+ .long 442499072
+ .long 1032893537
+ .type P_2,@object
+ .size P_2,16
+ .align 16
+SC_4:
+ .long 2773927732
+ .long 1053236707
+ .long 436314138
+ .long 1056571808
+ .type SC_4,@object
+ .size SC_4,16
+ .align 16
+Ctable:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 1072693248
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 1072693248
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 1071644672
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 1071644672
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 1070596096
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 1070596096
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 1069547520
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 3217031168
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 3218079744
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 3218079744
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 3219128320
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 3219128320
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 3220176896
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 3220176896
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 3219128320
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 3219128320
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 3218079744
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 3218079744
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 3217031168
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 1069547520
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 1070596096
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 1070596096
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 1071644672
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 1071644672
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 1072693248
+ .type Ctable,@object
+ .size Ctable,2048
+ .align 16
+SC_2:
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1067799893
+ .type SC_2,@object
+ .size SC_2,16
+ .align 16
+SC_3:
+ .long 436314138
+ .long 3207201184
+ .long 381774871
+ .long 3210133868
+ .type SC_3,@object
+ .size SC_3,16
+ .align 16
+SC_1:
+ .long 1431655765
+ .long 3217380693
+ .long 0
+ .long 3219128320
+ .type SC_1,@object
+ .size SC_1,16
+ .align 16
+PI_INV_TABLE:
+ .long 0
+ .long 0
+ .long 2734261102
+ .long 1313084713
+ .long 4230436817
+ .long 4113882560
+ .long 3680671129
+ .long 1011060801
+ .long 4266746795
+ .long 3736847713
+ .long 3072618042
+ .long 1112396512
+ .long 105459434
+ .long 164729372
+ .long 4263373596
+ .long 2972297022
+ .long 3900847605
+ .long 784024708
+ .long 3919343654
+ .long 3026157121
+ .long 965858873
+ .long 2203269620
+ .long 2625920907
+ .long 3187222587
+ .long 536385535
+ .long 3724908559
+ .long 4012839307
+ .long 1510632735
+ .long 1832287951
+ .long 667617719
+ .long 1330003814
+ .long 2657085997
+ .long 1965537991
+ .long 3957715323
+ .long 1023883767
+ .long 2320667370
+ .long 1811636145
+ .long 529358088
+ .long 1443049542
+ .long 4235946923
+ .long 4040145953
+ .type PI_INV_TABLE,@object
+ .size PI_INV_TABLE,164
+ .space 12, 0x00 # pad
+ .align 16
+PI_4:
+ .long 1073741824
+ .long 1072243195
+ .long 407279769
+ .long 1046758445
+ .type PI_4,@object
+ .size PI_4,16
+ .align 8
+PI32INV:
+ .long 1841940611
+ .long 1076125488
+ .type PI32INV,@object
+ .size PI32INV,8
+ .align 8
+SIGN_MASK:
+ .long 0
+ .long 2147483648
+ .type SIGN_MASK,@object
+ .size SIGN_MASK,8
+ .align 8
+P_1:
+ .long 1413480448
+ .long 1069097467
+ .type P_1,@object
+ .size P_1,8
+ .align 8
+P_3:
+ .long 771977331
+ .long 996350346
+ .type P_3,@object
+ .size P_3,8
+ .align 8
+ONE:
+ .long 0
+ .long 1072693248
+ .type ONE,@object
+ .size ONE,8
+ .align 8
+NEG_ZERO:
+ .long 0
+ .long 2147483648
+ .type NEG_ZERO,@object
+ .size NEG_ZERO,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000002c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_cos.1-.
+ .4byte ..___tag_value_cos.9-..___tag_value_cos.1
+ .2byte 0x0400
+ .4byte ..___tag_value_cos.3-..___tag_value_cos.1
+ .4byte 0x0283100e
+ .byte 0x04
+ .4byte ..___tag_value_cos.5-..___tag_value_cos.3
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_cos.6-..___tag_value_cos.5
+ .4byte 0x04c3100e
+ .4byte ..___tag_value_cos.8-..___tag_value_cos.6
+ .2byte 0x080e
+# End
diff --git a/libm/x86_64/s_expm1.S b/libm/x86_64/s_expm1.S
new file mode 100644
index 0000000..9da1d9d
--- /dev/null
+++ b/libm/x86_64/s_expm1.S
@@ -0,0 +1,727 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Description:
+// Let K = 64 (table size).
+//
+// Four sub-domains:
+// 1. |x| < 1/(2*K)
+// expm1(x) ~ P(x)
+// 2. 1/(2*K) <= |x| <= 56*log(2)
+// x x/log(2) n
+// e - 1 = 2 = 2 * T[j] * (1 + P(y)) - 1
+// 3. 56*log(2) < x < MAX_LOG
+// x x x/log(2) n
+// e - 1 ~ e = 2 = 2 * T[j] * (1 + P(y))
+// 4. x < -56*log(2)
+// x x
+// e - 1 = -1 + e ~ -1
+// where
+// x = m*log(2)/K + y, y in [-log(2)/K..log(2)/K]
+// m = n*K + j, m,n,j - signed integer, j in [-K/2..K/2]
+// j/K
+// values of 2 are tabulated as T[j] = T_hi[j] ( 1 + T_lo[j]).
+//
+// P(y) is a minimax polynomial approximation of exp(x)-1
+// on small interval [-log(2)/K..log(2)/K] (were calculated by Maple V).
+//
+// In case 3, to avoid problems with arithmetic overflow and underflow,
+// n n1 n2
+// value of 2 is safely computed as 2 * 2 where n1 in [-BIAS/2..BIAS/2]
+// and BIAS is a value of exponent bias.
+//
+// Special cases:
+// expm1(NaN) is NaN
+// expm1(+INF) is +INF
+// expm1(-INF) is -1
+// expm1(x) is x for subnormals
+// for finite argument, only expm1(0)=0 is exact.
+// For IEEE double
+// if x > 709.782712893383973096 then expm1(x) overflow
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin expm1
+ENTRY(expm1)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_expm1.1:
+ subq $56, %rsp
+..___tag_value_expm1.3:
+ movsd %xmm0, 32(%rsp)
+..B1.2:
+ unpcklpd %xmm0, %xmm0
+ movapd cv(%rip), %xmm1
+ movapd Shifter(%rip), %xmm6
+ movapd 16+cv(%rip), %xmm2
+ movapd 32+cv(%rip), %xmm3
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ movl $16527, %edx
+ subl %eax, %edx
+ subl $16304, %eax
+ orl %eax, %edx
+ cmpl $-2147483648, %edx
+ jae .L_2TAG_PACKET_0.0.2
+ mulpd %xmm0, %xmm1
+ addpd %xmm6, %xmm1
+ movapd %xmm1, %xmm7
+ subpd %xmm6, %xmm1
+ mulpd %xmm1, %xmm2
+ movapd 48+cv(%rip), %xmm4
+ mulpd %xmm1, %xmm3
+ movapd 64+cv(%rip), %xmm5
+ subpd %xmm2, %xmm0
+ movd %xmm7, %eax
+ movl %eax, %ecx
+ andl $63, %ecx
+ shll $4, %ecx
+ sarl $6, %eax
+ movl %eax, %edx
+ subpd %xmm3, %xmm0
+ lea Tbl_addr(%rip), %r11
+ movapd (%rcx,%r11), %xmm2
+ movq 80+cv(%rip), %xmm3
+ mulpd %xmm0, %xmm4
+ movapd %xmm0, %xmm1
+ mulpd %xmm0, %xmm0
+ mulsd %xmm0, %xmm3
+ addpd %xmm4, %xmm5
+ mulsd %xmm0, %xmm0
+ movq %xmm2, %xmm4
+ unpckhpd %xmm2, %xmm2
+ movdqa mmask(%rip), %xmm6
+ pand %xmm6, %xmm7
+ movdqa bias(%rip), %xmm6
+ paddq %xmm6, %xmm7
+ psllq $46, %xmm7
+ mulsd %xmm0, %xmm3
+ mulpd %xmm5, %xmm0
+ addl $894, %edx
+ cmpl $1916, %edx
+ ja .L_2TAG_PACKET_1.0.2
+ addsd %xmm3, %xmm0
+ xorpd %xmm3, %xmm3
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm3
+ orpd %xmm7, %xmm2
+ mulsd %xmm4, %xmm7
+ movq %xmm3, %xmm6
+ addsd %xmm1, %xmm3
+ pextrw $3, %xmm2, %edx
+ pshufd $238, %xmm0, %xmm5
+ psrlq $38, %xmm3
+ psllq $38, %xmm3
+ movq %xmm2, %xmm4
+ subsd %xmm3, %xmm6
+ addsd %xmm5, %xmm0
+ addsd %xmm6, %xmm1
+ addsd %xmm7, %xmm4
+ mulsd %xmm3, %xmm7
+ mulsd %xmm2, %xmm3
+ xorpd %xmm5, %xmm5
+ movl $16368, %eax
+ pinsrw $3, %eax, %xmm5
+ addsd %xmm1, %xmm0
+ movl $17184, %ecx
+ subl %edx, %ecx
+ subl $16256, %edx
+ orl %edx, %ecx
+ jl .L_2TAG_PACKET_2.0.2
+ mulsd %xmm4, %xmm0
+ subsd %xmm5, %xmm3
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+.L_2TAG_PACKET_3.0.2:
+ jmp ..B1.5
+.L_2TAG_PACKET_2.0.2:
+ cmpl $0, %edx
+ jl .L_2TAG_PACKET_4.0.2
+ mulsd %xmm4, %xmm0
+ subsd %xmm5, %xmm7
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_4.0.2:
+ mulsd %xmm4, %xmm0
+ addsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ subsd %xmm5, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_1.0.2:
+ movl 36(%rsp), %ecx
+ addsd %xmm0, %xmm1
+ unpckhpd %xmm0, %xmm0
+ addsd %xmm1, %xmm0
+ cmpl $0, %ecx
+ jl .L_2TAG_PACKET_5.0.2
+ fstcw (%rsp)
+ movw (%rsp), %dx
+ orw $768, %dx
+ movw %dx, 4(%rsp)
+ fldcw 4(%rsp)
+ movl %eax, %edx
+ sarl $1, %eax
+ subl %eax, %edx
+ movdqa emask(%rip), %xmm6
+ pandn %xmm2, %xmm6
+ addl $1023, %eax
+ movd %eax, %xmm3
+ psllq $52, %xmm3
+ orpd %xmm3, %xmm6
+ mulsd %xmm3, %xmm4
+ movsd %xmm0, 16(%rsp)
+ fldl 16(%rsp)
+ movsd %xmm6, 24(%rsp)
+ fldl 24(%rsp)
+ movsd %xmm4, 16(%rsp)
+ fldl 16(%rsp)
+ addl $1023, %edx
+ movd %edx, %xmm4
+ psllq $52, %xmm4
+ faddp %st, %st(1)
+ fmul %st, %st(1)
+ faddp %st, %st(1)
+ movsd %xmm4, 24(%rsp)
+ fldl 24(%rsp)
+ fmulp %st, %st(1)
+ fstpl 16(%rsp)
+ movsd 16(%rsp), %xmm0
+ fldcw (%rsp)
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ jmp ..B1.5
+ cmpl $-2147483648, %ecx
+ jb .L_2TAG_PACKET_6.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ movl $41, 8(%rsp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_8.0.2:
+ cmpl $2146435072, %eax
+ jae .L_2TAG_PACKET_9.0.2
+ movsd XMAX(%rip), %xmm0
+ mulsd %xmm0, %xmm0
+ movl $41, 8(%rsp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_9.0.2:
+ movl 36(%rsp), %eax
+ movl 32(%rsp), %edx
+ movl %eax, %ecx
+ andl $2147483647, %eax
+ cmpl $2146435072, %eax
+ ja .L_2TAG_PACKET_10.0.2
+ cmpl $0, %edx
+ jne .L_2TAG_PACKET_10.0.2
+ cmpl $0, %ecx
+ jl .L_2TAG_PACKET_11.0.2
+ movq INF(%rip), %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_11.0.2:
+ jmp .L_2TAG_PACKET_5.0.2
+.L_2TAG_PACKET_10.0.2:
+ movsd 32(%rsp), %xmm0
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_12.0.2:
+ addl $16304, %eax
+ cmpl $15504, %eax
+ jb .L_2TAG_PACKET_13.0.2
+ movapd cvl(%rip), %xmm2
+ pshufd $68, %xmm0, %xmm1
+ movapd 16+cvl(%rip), %xmm3
+ movapd 32+cvl(%rip), %xmm4
+ movq 48+cvl(%rip), %xmm5
+ mulsd %xmm1, %xmm1
+ xorpd %xmm6, %xmm6
+ movl $16352, %eax
+ pinsrw $3, %eax, %xmm6
+ mulpd %xmm0, %xmm2
+ xorpd %xmm7, %xmm7
+ movl $16368, %edx
+ pinsrw $3, %edx, %xmm7
+ addpd %xmm3, %xmm2
+ mulsd %xmm1, %xmm5
+ pshufd $228, %xmm1, %xmm3
+ mulpd %xmm1, %xmm1
+ mulsd %xmm0, %xmm6
+ mulpd %xmm0, %xmm2
+ addpd %xmm4, %xmm2
+ movq %xmm7, %xmm4
+ addsd %xmm6, %xmm7
+ mulpd %xmm3, %xmm1
+ psrlq $27, %xmm7
+ psllq $27, %xmm7
+ movq HIGHMASK(%rip), %xmm3
+ subsd %xmm7, %xmm4
+ mulpd %xmm1, %xmm2
+ addsd %xmm4, %xmm6
+ pshufd $238, %xmm2, %xmm1
+ addsd %xmm2, %xmm6
+ andpd %xmm0, %xmm3
+ movq %xmm0, %xmm4
+ addsd %xmm6, %xmm1
+ subsd %xmm3, %xmm0
+ addsd %xmm5, %xmm1
+ mulsd %xmm7, %xmm3
+ mulsd %xmm7, %xmm0
+ mulsd %xmm1, %xmm4
+ addsd %xmm4, %xmm0
+ addsd %xmm3, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_13.0.2:
+ cmpl $16, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ movq %xmm0, %xmm2
+ movd %xmm0, %eax
+ psrlq $31, %xmm2
+ movd %xmm2, %ecx
+ orl %ecx, %eax
+ je .L_2TAG_PACKET_3.0.2
+ movl $16, %edx
+ xorpd %xmm1, %xmm1
+ pinsrw $3, %edx, %xmm1
+ mulsd %xmm1, %xmm1
+ movl $42, 8(%rsp)
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_0.0.2:
+ cmpl $0, %eax
+ jl .L_2TAG_PACKET_12.0.2
+ movl 36(%rsp), %eax
+ cmpl $1083179008, %eax
+ jge .L_2TAG_PACKET_8.0.2
+ cmpl $-1048576, %eax
+ jae .L_2TAG_PACKET_9.0.2
+.L_2TAG_PACKET_5.0.2:
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_7.0.2:
+ movq %xmm0, 40(%rsp)
+..B1.3:
+ movq 40(%rsp), %xmm0
+.L_2TAG_PACKET_14.0.2:
+..B1.5:
+ addq $56, %rsp
+..___tag_value_expm1.4:
+ ret
+..___tag_value_expm1.5:
+END(expm1)
+# -- End expm1
+ .section .rodata, "a"
+ .align 16
+ .align 16
+cv:
+ .long 1697350398
+ .long 1079448903
+ .long 1697350398
+ .long 1079448903
+ .long 4277796864
+ .long 1065758274
+ .long 4277796864
+ .long 1065758274
+ .long 3164486458
+ .long 1025308570
+ .long 3164486458
+ .long 1025308570
+ .long 1963358694
+ .long 1065423121
+ .long 1431655765
+ .long 1069897045
+ .long 1431655765
+ .long 1067799893
+ .long 0
+ .long 1071644672
+ .long 381774871
+ .long 1062650220
+ .long 381774871
+ .long 1062650220
+ .type cv,@object
+ .size cv,96
+ .align 16
+Shifter:
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 1127743488
+ .type Shifter,@object
+ .size Shifter,16
+ .align 16
+Tbl_addr:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1000070955
+ .long 1042145304
+ .long 1040187392
+ .long 11418
+ .long 988267849
+ .long 1039500660
+ .long 3539992576
+ .long 22960
+ .long 36755401
+ .long 1042114290
+ .long 402653184
+ .long 34629
+ .long 3634769483
+ .long 1042178627
+ .long 1820327936
+ .long 46424
+ .long 2155991225
+ .long 1041560680
+ .long 847249408
+ .long 58348
+ .long 2766913307
+ .long 1039293264
+ .long 3489660928
+ .long 70401
+ .long 3651174602
+ .long 1040488175
+ .long 2927624192
+ .long 82586
+ .long 3073892131
+ .long 1042240606
+ .long 1006632960
+ .long 94904
+ .long 1328391742
+ .long 1042019037
+ .long 3942645760
+ .long 107355
+ .long 2650893825
+ .long 1041903210
+ .long 822083584
+ .long 119943
+ .long 2397289153
+ .long 1041802037
+ .long 2281701376
+ .long 132667
+ .long 430997175
+ .long 1042110606
+ .long 1845493760
+ .long 145530
+ .long 1230936525
+ .long 1041801015
+ .long 1702887424
+ .long 158533
+ .long 740675935
+ .long 1040178913
+ .long 4110417920
+ .long 171677
+ .long 3489810261
+ .long 1041825986
+ .long 2793406464
+ .long 184965
+ .long 2532600530
+ .long 1040767882
+ .long 167772160
+ .long 198398
+ .long 3542557060
+ .long 1041827263
+ .long 2986344448
+ .long 211976
+ .long 1401563777
+ .long 1041061093
+ .long 922746880
+ .long 225703
+ .long 3129406026
+ .long 1041852413
+ .long 880803840
+ .long 239579
+ .long 900993572
+ .long 1039283234
+ .long 1275068416
+ .long 253606
+ .long 2115029358
+ .long 1042140042
+ .long 562036736
+ .long 267786
+ .long 1086643152
+ .long 1041785419
+ .long 1610612736
+ .long 282120
+ .long 82864366
+ .long 1041256244
+ .long 3045064704
+ .long 296610
+ .long 2392968152
+ .long 1040913683
+ .long 3573547008
+ .long 311258
+ .long 2905856183
+ .long 1040002214
+ .long 1988100096
+ .long 326066
+ .long 3742008261
+ .long 1040011137
+ .long 1451229184
+ .long 341035
+ .long 863393794
+ .long 1040880621
+ .long 914358272
+ .long 356167
+ .long 1446136837
+ .long 1041372426
+ .long 3707764736
+ .long 371463
+ .long 927855201
+ .long 1040617636
+ .long 360710144
+ .long 386927
+ .long 1492679939
+ .long 1041050306
+ .long 2952790016
+ .long 402558
+ .long 608827001
+ .long 1041582217
+ .long 2181038080
+ .long 418360
+ .long 606260204
+ .long 1042271987
+ .long 1711276032
+ .long 434334
+ .long 3163044019
+ .long 1041843851
+ .long 1006632960
+ .long 450482
+ .long 4148747325
+ .long 1041962972
+ .long 3900702720
+ .long 466805
+ .long 802924201
+ .long 1041275378
+ .long 1442840576
+ .long 483307
+ .long 3052749833
+ .long 1041940577
+ .long 1937768448
+ .long 499988
+ .long 2216116399
+ .long 1041486744
+ .long 914358272
+ .long 516851
+ .long 2729697836
+ .long 1041445764
+ .long 2566914048
+ .long 533897
+ .long 540608356
+ .long 1041310907
+ .long 2600468480
+ .long 551129
+ .long 2916344493
+ .long 1040535661
+ .long 1107296256
+ .long 568549
+ .long 731391814
+ .long 1039497014
+ .long 2566914048
+ .long 586158
+ .long 1024722704
+ .long 1041461625
+ .long 2961178624
+ .long 603959
+ .long 3806831748
+ .long 1041732499
+ .long 2675965952
+ .long 621954
+ .long 238953304
+ .long 1040316488
+ .long 2189426688
+ .long 640145
+ .long 749123235
+ .long 1041725785
+ .long 2063597568
+ .long 658534
+ .long 1168187977
+ .long 1041175214
+ .long 2986344448
+ .long 677123
+ .long 3506096399
+ .long 1042186095
+ .long 1426063360
+ .long 695915
+ .long 1470221620
+ .long 1041675499
+ .long 2566914048
+ .long 714911
+ .long 3182425146
+ .long 1041483134
+ .long 3087007744
+ .long 734114
+ .long 3131698208
+ .long 1042208657
+ .long 4068474880
+ .long 753526
+ .long 2300504125
+ .long 1041428596
+ .long 2415919104
+ .long 773150
+ .long 2290297931
+ .long 1037388400
+ .long 3716153344
+ .long 792987
+ .long 3532148223
+ .long 1041626194
+ .long 771751936
+ .long 813041
+ .long 1161884404
+ .long 1042015258
+ .long 3699376128
+ .long 833312
+ .long 876383176
+ .long 1037968878
+ .long 1241513984
+ .long 853805
+ .long 3379986796
+ .long 1042213153
+ .long 3699376128
+ .long 874520
+ .long 1545797737
+ .long 1041681569
+ .long 58720256
+ .long 895462
+ .long 2925146801
+ .long 1042212567
+ .long 855638016
+ .long 916631
+ .long 1316627971
+ .long 1038516204
+ .long 3883925504
+ .long 938030
+ .long 3267869137
+ .long 1040337004
+ .long 2726297600
+ .long 959663
+ .long 3720868999
+ .long 1041782409
+ .long 3992977408
+ .long 981531
+ .long 433316142
+ .long 1041994064
+ .long 1526726656
+ .long 1003638
+ .long 781232103
+ .long 1040093400
+ .long 2172649472
+ .long 1025985
+ .type Tbl_addr,@object
+ .size Tbl_addr,1024
+ .align 16
+mmask:
+ .long 4294967232
+ .long 0
+ .long 4294967232
+ .long 0
+ .type mmask,@object
+ .size mmask,16
+ .align 16
+bias:
+ .long 65472
+ .long 0
+ .long 65472
+ .long 0
+ .type bias,@object
+ .size bias,16
+ .align 16
+emask:
+ .long 0
+ .long 4293918720
+ .long 0
+ .long 4293918720
+ .type emask,@object
+ .size emask,16
+ .align 16
+cvl:
+ .long 2773927732
+ .long 1053236707
+ .long 381774871
+ .long 1062650220
+ .long 379653899
+ .long 1056571845
+ .long 286331153
+ .long 1065423121
+ .long 436314138
+ .long 1059717536
+ .long 1431655765
+ .long 1067799893
+ .long 1431655765
+ .long 1069897045
+ .long 0
+ .long 1071644672
+ .type cvl,@object
+ .size cvl,64
+ .align 8
+XMAX:
+ .long 4294967295
+ .long 2146435071
+ .type XMAX,@object
+ .size XMAX,8
+ .align 8
+INF:
+ .long 0
+ .long 2146435072
+ .type INF,@object
+ .size INF,8
+ .align 8
+HIGHMASK:
+ .long 4227858432
+ .long 4294967295
+ .type HIGHMASK,@object
+ .size HIGHMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_expm1.1-.
+ .4byte ..___tag_value_expm1.5-..___tag_value_expm1.1
+ .2byte 0x0400
+ .4byte ..___tag_value_expm1.3-..___tag_value_expm1.1
+ .2byte 0x400e
+ .byte 0x04
+ .4byte ..___tag_value_expm1.4-..___tag_value_expm1.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/s_log1p.S b/libm/x86_64/s_log1p.S
new file mode 100644
index 0000000..1ff2d39
--- /dev/null
+++ b/libm/x86_64/s_log1p.S
@@ -0,0 +1,829 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Let x=2^k * mx, mx in [1,2)
+//
+// Get B~1/mx based on the output of rcpps instruction (B0)
+// B = int((B0*2^7+0.5))/2^7
+//
+// Reduced argument: r=B*mx-1.0 (computed accurately in high and low parts)
+//
+// Result: k*log(2) - log(B) + p(r)
+// p(r) is a degree 7 polynomial
+// -log(B) read from data table (high, low parts)
+// Result is formed from high and low parts
+//
+// Special cases:
+// log1p(NaN) = quiet NaN, and raise invalid exception
+// log1p(+INF) = that INF
+// log1p(x) = NaN if x < -1 or x = -INF, and raises invalid exception
+// log1p(-1) = -INF, and raises divide-by-zero exception
+// log1p(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin log1p
+ENTRY(log1p)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_log1p.1:
+ subq $24, %rsp
+..___tag_value_log1p.3:
+ movsd %xmm0, 8(%rsp)
+..B1.2:
+ movq $0x3ff0000000000000, %rax
+ movd %rax, %xmm2
+ xorpd %xmm3, %xmm3
+ movl $32768, %ecx
+ movd %rcx, %xmm4
+ movq $0xffffe00000000000, %r8
+ movd %r8, %xmm5
+ movddup %xmm0, %xmm7
+ pshufd $68, %xmm2, %xmm6
+ pextrw $3, %xmm0, %ecx
+ addsd %xmm2, %xmm0
+ movq %xmm0, %xmm1
+ pextrw $3, %xmm0, %eax
+ subsd %xmm0, %xmm6
+ orpd %xmm2, %xmm0
+ psrlq $27, %xmm0
+ lea L_tbl(%rip), %r11
+ psrld $2, %xmm0
+ subl $16, %eax
+ cmpl $32736, %eax
+ jae .L_2TAG_PACKET_0.0.2
+ addsd %xmm6, %xmm7
+ rcpps %xmm0, %xmm0
+ psllq $12, %xmm1
+ pshufd $228, %xmm5, %xmm6
+ psrlq $12, %xmm1
+ andl $32752, %ecx
+ cmpl $16256, %ecx
+ jb .L_2TAG_PACKET_1.0.2
+ andl $32752, %eax
+ movl $32720, %ecx
+ subl %eax, %ecx
+ pinsrw $3, %ecx, %xmm3
+.L_2TAG_PACKET_2.0.2:
+ mulsd %xmm3, %xmm7
+ paddd %xmm4, %xmm0
+ movq $0x3800000000000000, %rcx
+ movd %rcx, %xmm4
+ orpd %xmm2, %xmm1
+ movd %xmm0, %edx
+ psllq $29, %xmm0
+ andpd %xmm1, %xmm5
+ andpd %xmm6, %xmm0
+ subsd %xmm5, %xmm1
+ paddd %xmm4, %xmm0
+ mulsd %xmm0, %xmm5
+ movl $16352, %ecx
+ subl %ecx, %eax
+ cvtsi2sd %eax, %xmm4
+ mulsd %xmm0, %xmm7
+ mulsd %xmm0, %xmm1
+ movq log2(%rip), %xmm6
+ movapd coeff(%rip), %xmm3
+ subsd %xmm2, %xmm5
+ andl $16711680, %edx
+ shrl $12, %edx
+ movapd (%r11,%rdx), %xmm0
+ movapd 16+coeff(%rip), %xmm2
+ addsd %xmm5, %xmm1
+ movq %xmm1, %xmm5
+ addsd %xmm7, %xmm1
+ subsd %xmm1, %xmm5
+ addsd %xmm5, %xmm7
+ mulsd %xmm4, %xmm6
+ mulsd 8+log2(%rip), %xmm4
+ mulsd %xmm1, %xmm3
+ movddup %xmm1, %xmm5
+ addsd %xmm6, %xmm0
+ mulpd %xmm5, %xmm2
+ mulpd %xmm5, %xmm5
+ movddup %xmm0, %xmm6
+ addsd %xmm1, %xmm0
+ addpd 32+coeff(%rip), %xmm2
+ mulpd %xmm5, %xmm3
+ subsd %xmm0, %xmm6
+ mulsd %xmm1, %xmm2
+ addsd %xmm7, %xmm4
+ mulsd %xmm1, %xmm7
+ addsd %xmm6, %xmm1
+ pshufd $238, %xmm0, %xmm6
+ mulsd %xmm5, %xmm5
+ addsd %xmm6, %xmm4
+ subsd %xmm7, %xmm1
+ addpd %xmm3, %xmm2
+ addsd %xmm4, %xmm1
+ mulpd %xmm5, %xmm2
+ addsd %xmm2, %xmm1
+ pshufd $238, %xmm2, %xmm5
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_0.0.2:
+ movq 8(%rsp), %xmm0
+ movq 8(%rsp), %xmm1
+ addl $16, %eax
+ cmpl $32768, %eax
+ jae .L_2TAG_PACKET_3.0.2
+ cmpl $0, %eax
+ je .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_5.0.2:
+ addsd %xmm0, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_6.0.2:
+ ja .L_2TAG_PACKET_5.0.2
+ cmpl $0, %edx
+ ja .L_2TAG_PACKET_5.0.2
+ jmp .L_2TAG_PACKET_7.0.2
+.L_2TAG_PACKET_3.0.2:
+ movd %xmm1, %edx
+ psrlq $32, %xmm1
+ movd %xmm1, %ecx
+ addl %ecx, %ecx
+ cmpl $-2097152, %ecx
+ jae .L_2TAG_PACKET_6.0.2
+ orl %ecx, %edx
+ cmpl $0, %edx
+ je .L_2TAG_PACKET_4.0.2
+.L_2TAG_PACKET_7.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $32752, %eax
+ pinsrw $3, %eax, %xmm1
+ movl $141, (%rsp)
+ mulsd %xmm1, %xmm0
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_4.0.2:
+ xorpd %xmm1, %xmm1
+ xorpd %xmm0, %xmm0
+ movl $49136, %eax
+ pinsrw $3, %eax, %xmm0
+ divsd %xmm1, %xmm0
+ movl $140, (%rsp)
+ jmp .L_2TAG_PACKET_8.0.2
+.L_2TAG_PACKET_1.0.2:
+ movq 8(%rsp), %xmm0
+ cmpl $15504, %ecx
+ jb .L_2TAG_PACKET_9.0.2
+ movapd coeff2(%rip), %xmm1
+ pshufd $68, %xmm0, %xmm0
+ movapd 16+coeff2(%rip), %xmm2
+ pshufd $68, %xmm0, %xmm4
+ movapd 32+coeff2(%rip), %xmm3
+ mulpd %xmm0, %xmm1
+ xorpd %xmm6, %xmm6
+ mulpd %xmm4, %xmm4
+ addpd %xmm2, %xmm1
+ pshufd $68, %xmm4, %xmm5
+ mulpd %xmm0, %xmm4
+ movl $49120, %eax
+ pinsrw $3, %eax, %xmm6
+ mulpd %xmm0, %xmm1
+ mulsd %xmm4, %xmm4
+ addpd %xmm3, %xmm1
+ mulsd %xmm6, %xmm5
+ mulpd %xmm4, %xmm1
+ pshufd $238, %xmm1, %xmm7
+ addsd %xmm7, %xmm1
+ addsd %xmm5, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.5
+.L_2TAG_PACKET_9.0.2:
+ cmpl $16, %ecx
+ jb .L_2TAG_PACKET_10.0.2
+ jmp ..B1.5
+.L_2TAG_PACKET_10.0.2:
+ movq %xmm0, %xmm1
+ mulsd %xmm1, %xmm1
+ jmp ..B1.5
+.L_2TAG_PACKET_8.0.2:
+ movq %xmm0, 16(%rsp)
+..B1.3:
+ movq 16(%rsp), %xmm0
+.L_2TAG_PACKET_11.0.2:
+..B1.5:
+ addq $24, %rsp
+..___tag_value_log1p.4:
+ ret
+..___tag_value_log1p.5:
+END(log1p)
+# -- End log1p
+ .section .rodata, "a"
+ .align 16
+ .align 16
+L_tbl:
+ .long 4277811200
+ .long 1072049730
+ .long 2479318832
+ .long 1026487127
+ .long 2854492160
+ .long 1072033410
+ .long 215631550
+ .long 1025638968
+ .long 1547061248
+ .long 1072017216
+ .long 2886781435
+ .long 1026423395
+ .long 649825280
+ .long 1072001146
+ .long 4281533405
+ .long 1024038923
+ .long 646346752
+ .long 1071985198
+ .long 1562735921
+ .long 1023790276
+ .long 2203734016
+ .long 1071969370
+ .long 1838397691
+ .long 3173936209
+ .long 1872169984
+ .long 1071953661
+ .long 3981202460
+ .long 1022325013
+ .long 669557760
+ .long 1071938069
+ .long 4182597802
+ .long 3173174122
+ .long 4076413952
+ .long 1071922591
+ .long 1209029111
+ .long 3170736207
+ .long 556125184
+ .long 1071907228
+ .long 821086028
+ .long 3173437049
+ .long 204914688
+ .long 1071891976
+ .long 2097025986
+ .long 3171071798
+ .long 387545088
+ .long 1071876834
+ .long 3142936996
+ .long 3173092218
+ .long 2912783360
+ .long 1071861800
+ .long 2502420140
+ .long 1024505919
+ .long 1144260608
+ .long 1071846874
+ .long 3315658140
+ .long 3173469843
+ .long 1471209472
+ .long 1071832053
+ .long 129621009
+ .long 3172443877
+ .long 1829683200
+ .long 1071817336
+ .long 3885467693
+ .long 1025535275
+ .long 288676864
+ .long 1071802722
+ .long 86139472
+ .long 3171639793
+ .long 3636378624
+ .long 1071788208
+ .long 1850238587
+ .long 1024654342
+ .long 1606817792
+ .long 1071773795
+ .long 3388899795
+ .long 3173675586
+ .long 1236164608
+ .long 1071759480
+ .long 3983599207
+ .long 1020046558
+ .long 1089616896
+ .long 1071745262
+ .long 4171974224
+ .long 1024773198
+ .long 4143093760
+ .long 1071731139
+ .long 2727587401
+ .long 3173965207
+ .long 600267776
+ .long 1071717112
+ .long 3147685042
+ .long 3173353031
+ .long 2249313280
+ .long 1071703177
+ .long 125835074
+ .long 1025255832
+ .long 3805303808
+ .long 1071689334
+ .long 2289991207
+ .long 1025460331
+ .long 87278592
+ .long 1071675583
+ .long 1106114045
+ .long 1025933602
+ .long 3195405312
+ .long 1071661920
+ .long 3885316576
+ .long 3171206239
+ .long 3853649920
+ .long 1071648346
+ .long 2977069852
+ .long 3171236771
+ .long 2944026624
+ .long 1071625048
+ .long 1008093493
+ .long 1023444474
+ .long 3993180160
+ .long 1071598247
+ .long 1862355595
+ .long 1024642533
+ .long 1454641152
+ .long 1071571617
+ .long 1514603089
+ .long 1026500596
+ .long 3286085632
+ .long 1071545154
+ .long 1400028424
+ .long 3173279056
+ .long 438773760
+ .long 1071518858
+ .long 120727864
+ .long 3172148914
+ .long 1212979200
+ .long 1071492725
+ .long 1625055594
+ .long 3172901933
+ .long 1189017600
+ .long 1071466754
+ .long 3920062376
+ .long 1025727407
+ .long 403064832
+ .long 1071440943
+ .long 1053271728
+ .long 3171391427
+ .long 3343210496
+ .long 1071415289
+ .long 3243395502
+ .long 3173627613
+ .long 1765777408
+ .long 1071389792
+ .long 2145968512
+ .long 1026354304
+ .long 461430784
+ .long 1071364449
+ .long 4094322285
+ .long 1026021467
+ .long 71706624
+ .long 1071339258
+ .long 763632021
+ .long 1024496933
+ .long 1380503552
+ .long 1071314217
+ .long 1383547992
+ .long 3173088453
+ .long 1015732224
+ .long 1071289325
+ .long 3198646877
+ .long 1025390322
+ .long 35977216
+ .long 1071264580
+ .long 2141026805
+ .long 1025754693
+ .long 3927306240
+ .long 1071239979
+ .long 282116272
+ .long 3173394334
+ .long 1125341184
+ .long 1071215523
+ .long 2768427504
+ .long 3172279059
+ .long 1666971648
+ .long 1071191208
+ .long 786837629
+ .long 3172427445
+ .long 2827694080
+ .long 1071167033
+ .long 3857122416
+ .long 3173014241
+ .long 2003683328
+ .long 1071142997
+ .long 859010954
+ .long 1026545007
+ .long 1004017664
+ .long 1071119098
+ .long 3356644970
+ .long 3173458064
+ .long 1753020416
+ .long 1071095334
+ .long 788338552
+ .long 1026157693
+ .long 1992718336
+ .long 1071071704
+ .long 1239179443
+ .long 1026394889
+ .long 3870234624
+ .long 1071048206
+ .long 2082614663
+ .long 1024926053
+ .long 1050437632
+ .long 1071024840
+ .long 660007840
+ .long 1025548499
+ .long 188395520
+ .long 1071001603
+ .long 3878792704
+ .long 3173889571
+ .long 3747176448
+ .long 1070978493
+ .long 144991708
+ .long 3171552042
+ .long 1405669376
+ .long 1070955511
+ .long 3999088879
+ .long 1025486317
+ .long 121151488
+ .long 1070932654
+ .long 2170865497
+ .long 1026473584
+ .long 2652319744
+ .long 1070909920
+ .long 453695652
+ .long 3173916809
+ .long 3262236672
+ .long 1070887309
+ .long 157800053
+ .long 3173984206
+ .long 601221120
+ .long 1070864820
+ .long 3968917661
+ .long 1023992886
+ .long 1999843328
+ .long 1070842450
+ .long 3053895004
+ .long 1024998228
+ .long 1992167424
+ .long 1070820199
+ .long 2968614856
+ .long 1024552653
+ .long 3788726272
+ .long 1070798065
+ .long 3542170808
+ .long 3173573242
+ .long 2094829568
+ .long 1070776048
+ .long 1246758132
+ .long 1026202874
+ .long 288675840
+ .long 1070754146
+ .long 3747328950
+ .long 1026331585
+ .long 1829681152
+ .long 1070732357
+ .long 3125197546
+ .long 1024100318
+ .long 1666869248
+ .long 1070710681
+ .long 1363656119
+ .long 1026336493
+ .long 3417110528
+ .long 1070689116
+ .long 4154791553
+ .long 1026267853
+ .long 2183653376
+ .long 1070667662
+ .long 1671819292
+ .long 3173785870
+ .long 1734434816
+ .long 1070646317
+ .long 373091049
+ .long 1025972363
+ .long 1615681536
+ .long 1070625080
+ .long 384650897
+ .long 1022926043
+ .long 1445382144
+ .long 1070603950
+ .long 344320330
+ .long 3172397196
+ .long 1823715328
+ .long 1070569756
+ .long 3389841200
+ .long 1025231852
+ .long 3839688704
+ .long 1070527917
+ .long 1706790417
+ .long 3167363349
+ .long 4293332992
+ .long 1070486286
+ .long 1614935088
+ .long 1019351591
+ .long 2966720512
+ .long 1070444861
+ .long 4145393717
+ .long 3173711658
+ .long 4066729984
+ .long 1070403639
+ .long 1974925028
+ .long 3171437182
+ .long 3337621504
+ .long 1070362619
+ .long 3314953170
+ .long 3169971314
+ .long 943448064
+ .long 1070321799
+ .long 1498682038
+ .long 3173862340
+ .long 1465634816
+ .long 1070281176
+ .long 1319952810
+ .long 3171693965
+ .long 1015734272
+ .long 1070240749
+ .long 1347821929
+ .long 3173544515
+ .long 118001664
+ .long 1070200516
+ .long 1751482746
+ .long 1026134093
+ .long 3707174912
+ .long 1070160474
+ .long 1486946159
+ .long 1023930920
+ .long 3946381312
+ .long 1070120623
+ .long 2867408081
+ .long 3171368276
+ .long 1699848192
+ .long 1070080961
+ .long 2590187139
+ .long 1025379803
+ .long 2235846656
+ .long 1070041485
+ .long 1888568069
+ .long 3172754960
+ .long 2339729408
+ .long 1070002194
+ .long 3852214753
+ .long 3173323149
+ .long 3196850176
+ .long 1069963086
+ .long 742141560
+ .long 1025101707
+ .long 1800683520
+ .long 1069924160
+ .long 3949500444
+ .long 3172102179
+ .long 3835801600
+ .long 1069885413
+ .long 3848895943
+ .long 1025913832
+ .long 2201202688
+ .long 1069846845
+ .long 1425913464
+ .long 1025868665
+ .long 2778279936
+ .long 1069808453
+ .long 2120889677
+ .long 3173831128
+ .long 2954203136
+ .long 1069770236
+ .long 592147081
+ .long 1019621288
+ .long 210141184
+ .long 1069732193
+ .long 3414275233
+ .long 1023647084
+ .long 709476352
+ .long 1069694321
+ .long 2413027164
+ .long 1024462115
+ .long 2116284416
+ .long 1069656619
+ .long 1144559924
+ .long 1026336654
+ .long 2183651328
+ .long 1069619086
+ .long 3459057650
+ .long 1025634168
+ .long 3047047168
+ .long 1069581720
+ .long 1879674924
+ .long 3173508573
+ .long 970711040
+ .long 1069541521
+ .long 1335954173
+ .long 3173332182
+ .long 2198478848
+ .long 1069467449
+ .long 2951103968
+ .long 3173892200
+ .long 1669611520
+ .long 1069393703
+ .long 531044147
+ .long 1025149248
+ .long 29114368
+ .long 1069320280
+ .long 3327831251
+ .long 1025918673
+ .long 2376949760
+ .long 1069247176
+ .long 737634533
+ .long 3172176000
+ .long 1085390848
+ .long 1069174390
+ .long 3108243400
+ .long 3171828406
+ .long 1566130176
+ .long 1069101918
+ .long 985483226
+ .long 1025708380
+ .long 792780800
+ .long 1069029758
+ .long 4184866295
+ .long 1024426204
+ .long 183156736
+ .long 1068957907
+ .long 2845699378
+ .long 1022107277
+ .long 1301782528
+ .long 1068886362
+ .long 1012735262
+ .long 3173804294
+ .long 1562411008
+ .long 1068815121
+ .long 2197086703
+ .long 3170187813
+ .long 2815549440
+ .long 1068744181
+ .long 2782613207
+ .long 1026345054
+ .long 2756124672
+ .long 1068673540
+ .long 2929486205
+ .long 3173037800
+ .long 3511050240
+ .long 1068603195
+ .long 1443733147
+ .long 3173331549
+ .long 3047047168
+ .long 1068533144
+ .long 1879674924
+ .long 3172459997
+ .long 3221667840
+ .long 1068427825
+ .long 1338588027
+ .long 3171815742
+ .long 3453861888
+ .long 1068288883
+ .long 1205348359
+ .long 3172624626
+ .long 3506110464
+ .long 1068150514
+ .long 893105198
+ .long 1025571866
+ .long 346013696
+ .long 1068012714
+ .long 3495569021
+ .long 3172563349
+ .long 4074029056
+ .long 1067875476
+ .long 3961106338
+ .long 3171065595
+ .long 3559784448
+ .long 1067738798
+ .long 1975385384
+ .long 3173783155
+ .long 797769728
+ .long 1067602675
+ .long 3760305787
+ .long 1026047642
+ .long 2313633792
+ .long 1067467101
+ .long 1559353171
+ .long 1023480256
+ .long 3960766464
+ .long 1067213778
+ .long 1067365107
+ .long 1025865926
+ .long 684261376
+ .long 1066944805
+ .long 844762164
+ .long 3173687482
+ .long 630718464
+ .long 1066676905
+ .long 2458269694
+ .long 1024033081
+ .long 1486061568
+ .long 1066410070
+ .long 115537874
+ .long 3173243995
+ .long 2743664640
+ .long 1065886792
+ .long 3665098304
+ .long 3173471607
+ .long 1971912704
+ .long 1065357333
+ .long 2577214440
+ .long 3171993451
+ .long 1498939392
+ .long 1064306693
+ .long 3409036923
+ .long 1025599151
+ .long 0
+ .long 0
+ .long 0
+ .long 2147483648
+ .type L_tbl,@object
+ .size L_tbl,2064
+ .align 16
+log2:
+ .long 4277811200
+ .long 1067855426
+ .long 2479318832
+ .long 1022292823
+ .type log2,@object
+ .size log2,16
+ .align 16
+coeff:
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1030730101
+ .long 3217380702
+ .long 1431655765
+ .long 1070945621
+ .long 2576980378
+ .long 1070176665
+ .long 0
+ .long 3219128320
+ .type coeff,@object
+ .size coeff,48
+ .align 16
+coeff2:
+ .long 0
+ .long 3217031168
+ .long 2576980378
+ .long 1070176665
+ .long 2454267026
+ .long 1069697316
+ .long 0
+ .long 3218079744
+ .long 1431655765
+ .long 3217380693
+ .long 1431655765
+ .long 1070945621
+ .type coeff2,@object
+ .size coeff2,48
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_log1p.1-.
+ .4byte ..___tag_value_log1p.5-..___tag_value_log1p.1
+ .2byte 0x0400
+ .4byte ..___tag_value_log1p.3-..___tag_value_log1p.1
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_log1p.4-..___tag_value_log1p.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/s_sin.S b/libm/x86_64/s_sin.S
new file mode 100644
index 0000000..2f93a34
--- /dev/null
+++ b/libm/x86_64/s_sin.S
@@ -0,0 +1,1300 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// 1. RANGE REDUCTION
+//
+// We perform an initial range reduction from X to r with
+//
+// X =~= N * pi/32 + r
+//
+// so that |r| <= pi/64 + epsilon. We restrict inputs to those
+// where |N| <= 932560. Beyond this, the range reduction is
+// insufficiently accurate. For extremely small inputs,
+// denormalization can occur internally, impacting performance.
+// This means that the main path is actually only taken for
+// 2^-252 <= |X| < 90112.
+//
+// To avoid branches, we perform the range reduction to full
+// accuracy each time.
+//
+// X - N * (P_1 + P_2 + P_3)
+//
+// where P_1 and P_2 are 32-bit numbers (so multiplication by N
+// is exact) and P_3 is a 53-bit number. Together, these
+// approximate pi well enough for all cases in the restricted
+// range.
+//
+// The main reduction sequence is:
+//
+// y = 32/pi * x
+// N = integer(y)
+// (computed by adding and subtracting off SHIFTER)
+//
+// m_1 = N * P_1
+// m_2 = N * P_2
+// r_1 = x - m_1
+// r = r_1 - m_2
+// (this r can be used for most of the calculation)
+//
+// c_1 = r_1 - r
+// m_3 = N * P_3
+// c_2 = c_1 - m_2
+// c = c_2 - m_3
+//
+// 2. MAIN ALGORITHM
+//
+// The algorithm uses a table lookup based on B = M * pi / 32
+// where M = N mod 64. The stored values are:
+// sigma closest power of 2 to cos(B)
+// C_hl 53-bit cos(B) - sigma
+// S_hi + S_lo 2 * 53-bit sin(B)
+//
+// The computation is organized as follows:
+//
+// sin(B + r + c) = [sin(B) + sigma * r] +
+// r * (cos(B) - sigma) +
+// sin(B) * [cos(r + c) - 1] +
+// cos(B) * [sin(r + c) - r]
+//
+// which is approximately:
+//
+// [S_hi + sigma * r] +
+// C_hl * r +
+// S_lo + S_hi * [(cos(r) - 1) - r * c] +
+// (C_hl + sigma) * [(sin(r) - r) + c]
+//
+// and this is what is actually computed. We separate this sum
+// into four parts:
+//
+// hi + med + pols + corr
+//
+// where
+//
+// hi = S_hi + sigma r
+// med = C_hl * r
+// pols = S_hi * (cos(r) - 1) + (C_hl + sigma) * (sin(r) - r)
+// corr = S_lo + c * ((C_hl + sigma) - S_hi * r)
+//
+// 3. POLYNOMIAL
+//
+// The polynomial S_hi * (cos(r) - 1) + (C_hl + sigma) *
+// (sin(r) - r) can be rearranged freely, since it is quite
+// small, so we exploit parallelism to the fullest.
+//
+// psc4 = SC_4 * r_1
+// msc4 = psc4 * r
+// r2 = r * r
+// msc2 = SC_2 * r2
+// r4 = r2 * r2
+// psc3 = SC_3 + msc4
+// psc1 = SC_1 + msc2
+// msc3 = r4 * psc3
+// sincospols = psc1 + msc3
+// pols = sincospols *
+// <S_hi * r^2 | (C_hl + sigma) * r^3>
+//
+// 4. CORRECTION TERM
+//
+// This is where the "c" component of the range reduction is
+// taken into account; recall that just "r" is used for most of
+// the calculation.
+//
+// -c = m_3 - c_2
+// -d = S_hi * r - (C_hl + sigma)
+// corr = -c * -d + S_lo
+//
+// 5. COMPENSATED SUMMATIONS
+//
+// The two successive compensated summations add up the high
+// and medium parts, leaving just the low parts to add up at
+// the end.
+//
+// rs = sigma * r
+// res_int = S_hi + rs
+// k_0 = S_hi - res_int
+// k_2 = k_0 + rs
+// med = C_hl * r
+// res_hi = res_int + med
+// k_1 = res_int - res_hi
+// k_3 = k_1 + med
+//
+// 6. FINAL SUMMATION
+//
+// We now add up all the small parts:
+//
+// res_lo = pols(hi) + pols(lo) + corr + k_1 + k_3
+//
+// Now the overall result is just:
+//
+// res_hi + res_lo
+//
+// 7. SMALL ARGUMENTS
+//
+// If |x| < SNN (SNN meaning the smallest normal number), we
+// simply perform 0.1111111 cdots 1111 * x. For SNN <= |x|, we
+// do 2^-55 * (2^55 * x - x).
+//
+// Special cases:
+// sin(NaN) = quiet NaN, and raise invalid exception
+// sin(INF) = NaN and raise invalid exception
+// sin(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin sin
+ENTRY(sin)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_sin.1:
+ pushq %rbx
+..___tag_value_sin.3:
+ subq $16, %rsp
+..___tag_value_sin.5:
+ movsd %xmm0, 8(%rsp)
+..B1.2:
+ movl 12(%rsp), %eax
+ movq PI32INV(%rip), %xmm1
+ movq SHIFTER(%rip), %xmm2
+ andl $2147418112, %eax
+ subl $808452096, %eax
+ cmpl $281346048, %eax
+ ja .L_2TAG_PACKET_0.0.1
+ mulsd %xmm0, %xmm1
+ movapd ONEHALF(%rip), %xmm5
+ movq SIGN_MASK(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %edx
+ cvtsi2sd %edx, %xmm1
+ movapd P_2(%rip), %xmm6
+ movq $0x3fb921fb54400000, %r8
+ movd %r8, %xmm3
+ movapd SC_4(%rip), %xmm5
+ pshufd $68, %xmm0, %xmm4
+ mulsd %xmm1, %xmm3
+ movddup %xmm1, %xmm1
+ andl $63, %edx
+ shll $5, %edx
+ lea Ctable(%rip), %rax
+ addq %rdx, %rax
+ mulpd %xmm1, %xmm6
+ mulsd P_3(%rip), %xmm1
+ subsd %xmm3, %xmm4
+ movq 8(%rax), %xmm7
+ subsd %xmm3, %xmm0
+ movddup %xmm4, %xmm3
+ subsd %xmm6, %xmm4
+ pshufd $68, %xmm0, %xmm0
+ movapd (%rax), %xmm2
+ mulpd %xmm0, %xmm5
+ subpd %xmm6, %xmm0
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm6, %xmm3
+ movapd SC_2(%rip), %xmm6
+ subsd %xmm3, %xmm1
+ movq 24(%rax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd SC_3(%rip), %xmm5
+ mulsd (%rax), %xmm4
+ addpd SC_1(%rip), %xmm6
+ mulpd %xmm0, %xmm5
+ movq %xmm3, %xmm0
+ addsd 8(%rax), %xmm3
+ mulpd %xmm7, %xmm1
+ movq %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movq 8(%rax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%rax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm0, %xmm5
+ addsd %xmm7, %xmm3
+ addsd %xmm5, %xmm1
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ unpckhpd %xmm6, %xmm6
+ movq %xmm4, %xmm0
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_0.0.1:
+ jg .L_2TAG_PACKET_1.0.1
+ shrl $20, %eax
+ cmpw $3325, %ax
+ jne .L_2TAG_PACKET_2.0.1
+ mulsd ALL_ONES(%rip), %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_2.0.1:
+ movq TWO_POW_55(%rip), %xmm3
+ mulsd %xmm0, %xmm3
+ subsd %xmm0, %xmm3
+ mulsd TWO_POW_M55(%rip), %xmm3
+ jmp ..B1.4
+.L_2TAG_PACKET_1.0.1:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_3.0.1
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ subl $16224, %ecx
+ shrl $7, %ecx
+ andl $65532, %ecx
+ lea PI_INV_TABLE(%rip), %r11
+ addq %r11, %rcx
+ movd %xmm0, %rax
+ movl 20(%rcx), %r10d
+ movl 24(%rcx), %r8d
+ movl %eax, %edx
+ shrq $21, %rax
+ orl $-2147483648, %eax
+ shrl $11, %eax
+ movl %r10d, %r9d
+ imulq %rdx, %r10
+ imulq %rax, %r9
+ imulq %rax, %r8
+ movl 16(%rcx), %esi
+ movl 12(%rcx), %edi
+ movl %r10d, %r11d
+ shrq $32, %r10
+ addq %r10, %r9
+ addq %r8, %r11
+ movl %r11d, %r8d
+ shrq $32, %r11
+ addq %r11, %r9
+ movl %esi, %r10d
+ imulq %rdx, %rsi
+ imulq %rax, %r10
+ movl %edi, %r11d
+ imulq %rdx, %rdi
+ movl %esi, %ebx
+ shrq $32, %rsi
+ addq %rbx, %r9
+ movl %r9d, %ebx
+ shrq $32, %r9
+ addq %rsi, %r10
+ addq %r9, %r10
+ shlq $32, %rbx
+ orq %rbx, %r8
+ imulq %rax, %r11
+ movl 8(%rcx), %r9d
+ movl 4(%rcx), %esi
+ movl %edi, %ebx
+ shrq $32, %rdi
+ addq %rbx, %r10
+ movl %r10d, %ebx
+ shrq $32, %r10
+ addq %rdi, %r11
+ addq %r10, %r11
+ movq %r9, %rdi
+ imulq %rdx, %r9
+ imulq %rax, %rdi
+ movl %r9d, %r10d
+ shrq $32, %r9
+ addq %r10, %r11
+ movl %r11d, %r10d
+ shrq $32, %r11
+ addq %r9, %rdi
+ addq %r11, %rdi
+ movq %rsi, %r9
+ imulq %rdx, %rsi
+ imulq %rax, %r9
+ shlq $32, %r10
+ orq %rbx, %r10
+ movl (%rcx), %eax
+ movl %esi, %r11d
+ shrq $32, %rsi
+ addq %r11, %rdi
+ movl %edi, %r11d
+ shrq $32, %rdi
+ addq %rsi, %r9
+ addq %rdi, %r9
+ imulq %rax, %rdx
+ pextrw $3, %xmm0, %ebx
+ lea PI_INV_TABLE(%rip), %rdi
+ subq %rdi, %rcx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl $19, %ecx
+ movl $32768, %esi
+ andl %ebx, %esi
+ shrl $4, %ebx
+ andl $2047, %ebx
+ subl $1023, %ebx
+ subl %ebx, %ecx
+ addq %rdx, %r9
+ movl %ecx, %edx
+ addl $32, %edx
+ cmpl $1, %ecx
+ jl .L_2TAG_PACKET_4.0.1
+ negl %ecx
+ addl $29, %ecx
+ shll %cl, %r9d
+ movl %r9d, %edi
+ andl $536870911, %r9d
+ testl $268435456, %r9d
+ jne .L_2TAG_PACKET_5.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+.L_2TAG_PACKET_6.0.1:
+.L_2TAG_PACKET_7.0.1:
+ cmpq $0, %r9
+ je .L_2TAG_PACKET_8.0.1
+.L_2TAG_PACKET_9.0.1:
+ bsr %r9, %r11
+ movl $29, %ecx
+ subl %r11d, %ecx
+ jle .L_2TAG_PACKET_10.0.1
+ shlq %cl, %r9
+ movq %r10, %rax
+ shlq %cl, %r10
+ addl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shrq %cl, %rax
+ shrq %cl, %r8
+ orq %rax, %r9
+ orq %r8, %r10
+.L_2TAG_PACKET_11.0.1:
+ cvtsi2sdq %r9, %xmm0
+ shrq $1, %r10
+ cvtsi2sdq %r10, %xmm3
+ xorpd %xmm4, %xmm4
+ shll $4, %edx
+ negl %edx
+ addl $16368, %edx
+ orl %esi, %edx
+ xorl %ebx, %edx
+ pinsrw $3, %edx, %xmm4
+ movq PI_4(%rip), %xmm2
+ movq 8+PI_4(%rip), %xmm6
+ xorpd %xmm5, %xmm5
+ subl $1008, %edx
+ pinsrw $3, %edx, %xmm5
+ mulsd %xmm4, %xmm0
+ shll $16, %esi
+ sarl $31, %esi
+ mulsd %xmm5, %xmm3
+ movq %xmm0, %xmm1
+ mulsd %xmm2, %xmm0
+ shrl $29, %edi
+ addsd %xmm3, %xmm1
+ mulsd %xmm2, %xmm3
+ addl %esi, %edi
+ xorl %esi, %edi
+ mulsd %xmm1, %xmm6
+ movl %edi, %eax
+ addsd %xmm3, %xmm6
+ movq %xmm0, %xmm2
+ addsd %xmm6, %xmm0
+ subsd %xmm0, %xmm2
+ addsd %xmm2, %xmm6
+.L_2TAG_PACKET_12.0.1:
+ movq PI32INV(%rip), %xmm1
+ mulsd %xmm0, %xmm1
+ movq ONEHALF(%rip), %xmm5
+ movq SIGN_MASK(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ cvttsd2si %xmm1, %edx
+ cvtsi2sd %edx, %xmm1
+ movq P_1(%rip), %xmm3
+ movapd P_2(%rip), %xmm2
+ mulsd %xmm1, %xmm3
+ unpcklpd %xmm1, %xmm1
+ shll $3, %eax
+ addl $1865216, %edx
+ movq %xmm0, %xmm4
+ addl %eax, %edx
+ andl $63, %edx
+ movapd SC_4(%rip), %xmm5
+ lea Ctable(%rip), %rax
+ shll $5, %edx
+ addq %rdx, %rax
+ mulpd %xmm1, %xmm2
+ subsd %xmm3, %xmm0
+ mulsd P_3(%rip), %xmm1
+ subsd %xmm3, %xmm4
+ movq 8(%rax), %xmm7
+ unpcklpd %xmm0, %xmm0
+ movq %xmm4, %xmm3
+ subsd %xmm2, %xmm4
+ mulpd %xmm0, %xmm5
+ subpd %xmm2, %xmm0
+ mulsd %xmm4, %xmm7
+ subsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm5
+ mulpd %xmm0, %xmm0
+ subsd %xmm2, %xmm3
+ movapd (%rax), %xmm2
+ subsd %xmm3, %xmm1
+ movq 24(%rax), %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm7
+ subsd %xmm6, %xmm1
+ movapd SC_2(%rip), %xmm6
+ mulsd %xmm4, %xmm2
+ mulpd %xmm0, %xmm6
+ mulsd %xmm4, %xmm3
+ mulpd %xmm0, %xmm2
+ mulpd %xmm0, %xmm0
+ addpd SC_3(%rip), %xmm5
+ mulsd (%rax), %xmm4
+ addpd SC_1(%rip), %xmm6
+ mulpd %xmm0, %xmm5
+ movq %xmm3, %xmm0
+ addsd 8(%rax), %xmm3
+ mulpd %xmm7, %xmm1
+ movq %xmm4, %xmm7
+ addsd %xmm3, %xmm4
+ addpd %xmm5, %xmm6
+ movq 8(%rax), %xmm5
+ subsd %xmm3, %xmm5
+ subsd %xmm4, %xmm3
+ addsd 16(%rax), %xmm1
+ mulpd %xmm2, %xmm6
+ addsd %xmm0, %xmm5
+ addsd %xmm7, %xmm3
+ addsd %xmm5, %xmm1
+ addsd %xmm3, %xmm1
+ addsd %xmm6, %xmm1
+ unpckhpd %xmm6, %xmm6
+ movq %xmm4, %xmm0
+ addsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_8.0.1:
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ movq $0, %r8
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_9.0.1
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_9.0.1
+ xorpd %xmm0, %xmm0
+ xorpd %xmm6, %xmm6
+ jmp .L_2TAG_PACKET_12.0.1
+.L_2TAG_PACKET_10.0.1:
+ je .L_2TAG_PACKET_11.0.1
+ negl %ecx
+ shrq %cl, %r10
+ movq %r9, %rax
+ shrq %cl, %r9
+ subl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shlq %cl, %rax
+ orq %rax, %r10
+ jmp .L_2TAG_PACKET_11.0.1
+.L_2TAG_PACKET_4.0.1:
+ negl %ecx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq %cl, %r9
+ movq %r9, %rdi
+ testl $-2147483648, %r9d
+ jne .L_2TAG_PACKET_13.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shrq $3, %rdi
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_5.0.1:
+ shrl %cl, %r9d
+ movl $536870912, %ebx
+ shrl %cl, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq $32, %rbx
+ addl $536870912, %edi
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ jmp .L_2TAG_PACKET_6.0.1
+.L_2TAG_PACKET_13.0.1:
+ shrl %cl, %r9d
+ movq $0x100000000, %rbx
+ shrq %cl, %rbx
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ shrq $3, %rdi
+ addl $536870912, %edi
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_3.0.1:
+ movq 8(%rsp), %xmm0
+ mulsd NEG_ZERO(%rip), %xmm0
+ movq %xmm0, (%rsp)
+.L_2TAG_PACKET_14.0.1:
+..B1.4:
+ addq $16, %rsp
+..___tag_value_sin.6:
+ popq %rbx
+..___tag_value_sin.8:
+ ret
+..___tag_value_sin.9:
+END(sin)
+# -- End sin
+ .section .rodata, "a"
+ .align 16
+ .align 16
+ONEHALF:
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .type ONEHALF,@object
+ .size ONEHALF,16
+ .align 16
+P_2:
+ .long 442499072
+ .long 1032893537
+ .long 442499072
+ .long 1032893537
+ .type P_2,@object
+ .size P_2,16
+ .align 16
+SC_4:
+ .long 2773927732
+ .long 1053236707
+ .long 436314138
+ .long 1056571808
+ .type SC_4,@object
+ .size SC_4,16
+ .align 16
+Ctable:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 1072693248
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 1072693248
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 1071644672
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 1071644672
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 1070596096
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 1070596096
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 1069547520
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 1072683149
+ .long 1073741824
+ .long 3163061750
+ .long 0
+ .long 3217031168
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 1072652951
+ .long 536870912
+ .long 1014325783
+ .long 0
+ .long 3218079744
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 1072602945
+ .long 3758096384
+ .long 1015505073
+ .long 0
+ .long 3218079744
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 1072533611
+ .long 536870912
+ .long 1014257638
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 1072445618
+ .long 2147483648
+ .long 3161907377
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 1072339814
+ .long 3758096384
+ .long 1010431536
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 1072217216
+ .long 536870912
+ .long 3162686945
+ .long 0
+ .long 3219128320
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 1072079006
+ .long 536870912
+ .long 3163282740
+ .long 0
+ .long 3219128320
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 1071926515
+ .long 536870912
+ .long 1013450602
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 1071761211
+ .long 536870912
+ .long 1015752157
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 1071524701
+ .long 536870912
+ .long 1012796809
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 1071152610
+ .long 3758096384
+ .long 3160878317
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 1070765062
+ .long 2684354560
+ .long 3161838221
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 1070135480
+ .long 3221225472
+ .long 3160567065
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 1069094822
+ .long 3758096384
+ .long 3158189848
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 393047345
+ .long 1064548654
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 3220176896
+ .long 18115067
+ .long 1066642694
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 3220176896
+ .long 2476548698
+ .long 1067846634
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 3220176896
+ .long 2255197647
+ .long 1068727457
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 3220176896
+ .long 1945768569
+ .long 1069431400
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 3220176896
+ .long 1539668340
+ .long 1069912679
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 3220176896
+ .long 1403757309
+ .long 1070403070
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 3220176896
+ .long 2583490354
+ .long 3217719929
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 3219128320
+ .long 2485417816
+ .long 3217109964
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 3219128320
+ .long 2598800519
+ .long 3215750067
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 3219128320
+ .long 2140183630
+ .long 1067272748
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 3219128320
+ .long 1699043957
+ .long 1069418613
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 3219128320
+ .long 1991047213
+ .long 3215237169
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 3218079744
+ .long 240740309
+ .long 1068244255
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 3218079744
+ .long 257503056
+ .long 1067164005
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 3217031168
+ .long 0
+ .long 0
+ .long 0
+ .long 3220176896
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 257503056
+ .long 3214647653
+ .long 2748392742
+ .long 3220166797
+ .long 1073741824
+ .long 1015578102
+ .long 0
+ .long 1069547520
+ .long 240740309
+ .long 3215727903
+ .long 3489094832
+ .long 3220136599
+ .long 536870912
+ .long 3161809431
+ .long 0
+ .long 1070596096
+ .long 1991047213
+ .long 1067753521
+ .long 1455828442
+ .long 3220086593
+ .long 3758096384
+ .long 3162988721
+ .long 0
+ .long 1070596096
+ .long 1699043957
+ .long 3216902261
+ .long 3476196678
+ .long 3220017259
+ .long 536870912
+ .long 3161741286
+ .long 0
+ .long 1071644672
+ .long 2140183630
+ .long 3214756396
+ .long 4051746225
+ .long 3219929266
+ .long 2147483648
+ .long 1014423729
+ .long 0
+ .long 1071644672
+ .long 2598800519
+ .long 1068266419
+ .long 688824739
+ .long 3219823462
+ .long 3758096384
+ .long 3157915184
+ .long 0
+ .long 1071644672
+ .long 2485417816
+ .long 1069626316
+ .long 1796544321
+ .long 3219700864
+ .long 536870912
+ .long 1015203297
+ .long 0
+ .long 1071644672
+ .long 2583490354
+ .long 1070236281
+ .long 1719614413
+ .long 3219562654
+ .long 536870912
+ .long 1015799092
+ .long 0
+ .long 1071644672
+ .long 1403757309
+ .long 3217886718
+ .long 621354454
+ .long 3219410163
+ .long 536870912
+ .long 3160934250
+ .long 0
+ .long 1072693248
+ .long 1539668340
+ .long 3217396327
+ .long 967731400
+ .long 3219244859
+ .long 536870912
+ .long 3163235805
+ .long 0
+ .long 1072693248
+ .long 1945768569
+ .long 3216915048
+ .long 939980347
+ .long 3219008349
+ .long 536870912
+ .long 3160280457
+ .long 0
+ .long 1072693248
+ .long 2255197647
+ .long 3216211105
+ .long 2796464483
+ .long 3218636258
+ .long 3758096384
+ .long 1013394669
+ .long 0
+ .long 1072693248
+ .long 2476548698
+ .long 3215330282
+ .long 785751814
+ .long 3218248710
+ .long 2684354560
+ .long 1014354573
+ .long 0
+ .long 1072693248
+ .long 18115067
+ .long 3214126342
+ .long 1013556747
+ .long 3217619128
+ .long 3221225472
+ .long 1013083417
+ .long 0
+ .long 1072693248
+ .long 393047345
+ .long 3212032302
+ .long 3156849708
+ .long 3216578470
+ .long 3758096384
+ .long 1010706200
+ .long 0
+ .long 1072693248
+ .type Ctable,@object
+ .size Ctable,2048
+ .align 16
+SC_2:
+ .long 286331153
+ .long 1065423121
+ .long 1431655765
+ .long 1067799893
+ .type SC_2,@object
+ .size SC_2,16
+ .align 16
+SC_3:
+ .long 436314138
+ .long 3207201184
+ .long 381774871
+ .long 3210133868
+ .type SC_3,@object
+ .size SC_3,16
+ .align 16
+SC_1:
+ .long 1431655765
+ .long 3217380693
+ .long 0
+ .long 3219128320
+ .type SC_1,@object
+ .size SC_1,16
+ .align 16
+PI_INV_TABLE:
+ .long 0
+ .long 0
+ .long 2734261102
+ .long 1313084713
+ .long 4230436817
+ .long 4113882560
+ .long 3680671129
+ .long 1011060801
+ .long 4266746795
+ .long 3736847713
+ .long 3072618042
+ .long 1112396512
+ .long 105459434
+ .long 164729372
+ .long 4263373596
+ .long 2972297022
+ .long 3900847605
+ .long 784024708
+ .long 3919343654
+ .long 3026157121
+ .long 965858873
+ .long 2203269620
+ .long 2625920907
+ .long 3187222587
+ .long 536385535
+ .long 3724908559
+ .long 4012839307
+ .long 1510632735
+ .long 1832287951
+ .long 667617719
+ .long 1330003814
+ .long 2657085997
+ .long 1965537991
+ .long 3957715323
+ .long 1023883767
+ .long 2320667370
+ .long 1811636145
+ .long 529358088
+ .long 1443049542
+ .long 4235946923
+ .long 4040145953
+ .type PI_INV_TABLE,@object
+ .size PI_INV_TABLE,164
+ .space 12, 0x00 # pad
+ .align 16
+PI_4:
+ .long 1073741824
+ .long 1072243195
+ .long 407279769
+ .long 1046758445
+ .type PI_4,@object
+ .size PI_4,16
+ .align 8
+PI32INV:
+ .long 1841940611
+ .long 1076125488
+ .type PI32INV,@object
+ .size PI32INV,8
+ .align 8
+SHIFTER:
+ .long 0
+ .long 1127743488
+ .type SHIFTER,@object
+ .size SHIFTER,8
+ .align 8
+SIGN_MASK:
+ .long 0
+ .long 2147483648
+ .type SIGN_MASK,@object
+ .size SIGN_MASK,8
+ .align 8
+P_3:
+ .long 771977331
+ .long 996350346
+ .type P_3,@object
+ .size P_3,8
+ .align 8
+ALL_ONES:
+ .long 4294967295
+ .long 1072693247
+ .type ALL_ONES,@object
+ .size ALL_ONES,8
+ .align 8
+TWO_POW_55:
+ .long 0
+ .long 1130364928
+ .type TWO_POW_55,@object
+ .size TWO_POW_55,8
+ .align 8
+TWO_POW_M55:
+ .long 0
+ .long 1015021568
+ .type TWO_POW_M55,@object
+ .size TWO_POW_M55,8
+ .align 8
+P_1:
+ .long 1413480448
+ .long 1069097467
+ .type P_1,@object
+ .size P_1,8
+ .align 8
+NEG_ZERO:
+ .long 0
+ .long 2147483648
+ .type NEG_ZERO,@object
+ .size NEG_ZERO,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000002c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_sin.1-.
+ .4byte ..___tag_value_sin.9-..___tag_value_sin.1
+ .2byte 0x0400
+ .4byte ..___tag_value_sin.3-..___tag_value_sin.1
+ .4byte 0x0283100e
+ .byte 0x04
+ .4byte ..___tag_value_sin.5-..___tag_value_sin.3
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_sin.6-..___tag_value_sin.5
+ .4byte 0x04c3100e
+ .4byte ..___tag_value_sin.8-..___tag_value_sin.6
+ .2byte 0x080e
+# End
diff --git a/libm/x86_64/s_tan.S b/libm/x86_64/s_tan.S
new file mode 100644
index 0000000..74cb044
--- /dev/null
+++ b/libm/x86_64/s_tan.S
@@ -0,0 +1,2239 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// Polynomials coefficients and other constants.
+//
+// Note that in this algorithm, there is a different polynomial for
+// each breakpoint, so there are 32 sets of polynomial coefficients
+// as well as 32 instances of the other constants.
+//
+// The polynomial coefficients and constants are offset from the start
+// of the main block as follows:
+//
+// 0: c8 | c0
+// 16: c9 | c1
+// 32: c10 | c2
+// 48: c11 | c3
+// 64: c12 | c4
+// 80: c13 | c5
+// 96: c14 | c6
+// 112: c15 | c7
+// 128: T_hi
+// 136: T_lo
+// 144: Sigma
+// 152: T_hl
+// 160: Tau
+// 168: Mask
+// 176: (end of block)
+//
+// The total table size is therefore 5632 bytes.
+//
+// Note that c0 and c1 are always zero. We could try storing
+// other constants here, and just loading the low part of the
+// SIMD register in these cases, after ensuring the high part
+// is zero.
+//
+// The higher terms of the polynomial are computed in the *low*
+// part of the SIMD register. This is so we can overlap the
+// multiplication by r^8 and the unpacking of the other part.
+//
+// The constants are:
+// T_hi + T_lo = accurate constant term in power series
+// Sigma + T_hl = accurate coefficient of r in power series (Sigma=1 bit)
+// Tau = multiplier for the reciprocal, always -1 or 0
+//
+// The basic reconstruction formula using these constants is:
+//
+// High = tau * recip_hi + t_hi
+// Med = (sgn * r + t_hl * r)_hi
+// Low = (sgn * r + t_hl * r)_lo +
+// tau * recip_lo + T_lo + (T_hl + sigma) * c + pol
+//
+// where pol = c0 + c1 * r + c2 * r^2 + ... + c15 * r^15
+//
+// (c0 = c1 = 0, but using them keeps SIMD regularity)
+//
+// We then do a compensated sum High + Med, add the low parts together
+// and then do the final sum.
+//
+// Here recip_hi + recip_lo is an accurate reciprocal of the remainder
+// modulo pi/2
+//
+// Special cases:
+// tan(NaN) = quiet NaN, and raise invalid exception
+// tan(INF) = NaN and raise invalid exception
+// tan(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin tan
+ENTRY(tan)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_tan.1:
+ pushq %rbx
+..___tag_value_tan.3:
+ subq $16, %rsp
+..___tag_value_tan.5:
+ movsd %xmm0, 8(%rsp)
+..B1.2:
+ pextrw $3, %xmm0, %eax
+ andl $32767, %eax
+ subl $16314, %eax
+ cmpl $270, %eax
+ ja .L_2TAG_PACKET_0.0.1
+ movapd ONEHALF(%rip), %xmm5
+ movapd MUL16(%rip), %xmm6
+ unpcklpd %xmm0, %xmm0
+ movapd sign_mask(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ movapd PI32INV(%rip), %xmm1
+ mulpd %xmm0, %xmm1
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ movapd %xmm1, %xmm7
+ unpckhpd %xmm7, %xmm7
+ cvttsd2si %xmm7, %edx
+ cvttpd2dq %xmm1, %xmm1
+ cvtdq2pd %xmm1, %xmm1
+ mulpd %xmm6, %xmm1
+ movapd P_1(%rip), %xmm3
+ movq QQ_2(%rip), %xmm5
+ addq $469248, %rdx
+ movapd P_2(%rip), %xmm4
+ mulpd %xmm1, %xmm3
+ andq $31, %rdx
+ mulsd %xmm1, %xmm5
+ movq %rdx, %rcx
+ mulpd %xmm1, %xmm4
+ shlq $1, %rcx
+ subpd %xmm3, %xmm0
+ mulpd P_3(%rip), %xmm1
+ addq %rcx, %rdx
+ shlq $2, %rcx
+ addq %rcx, %rdx
+ addsd %xmm0, %xmm5
+ movapd %xmm0, %xmm2
+ subpd %xmm4, %xmm0
+ movq ONE(%rip), %xmm6
+ shlq $4, %rdx
+ lea Ctable(%rip), %rax
+ andpd MASK_35(%rip), %xmm5
+ movapd %xmm0, %xmm3
+ addq %rdx, %rax
+ subpd %xmm0, %xmm2
+ unpckhpd %xmm0, %xmm0
+ divsd %xmm5, %xmm6
+ subpd %xmm4, %xmm2
+ movapd 16(%rax), %xmm7
+ subsd %xmm5, %xmm3
+ mulpd %xmm0, %xmm7
+ subpd %xmm1, %xmm2
+ movapd 48(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ movapd 96(%rax), %xmm4
+ mulpd %xmm0, %xmm4
+ addsd %xmm3, %xmm2
+ movapd %xmm0, %xmm3
+ mulpd %xmm0, %xmm0
+ addpd (%rax), %xmm7
+ addpd 32(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd 80(%rax), %xmm4
+ addpd %xmm1, %xmm7
+ movapd 112(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm0
+ addpd %xmm1, %xmm4
+ movapd 64(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd %xmm1, %xmm7
+ movapd %xmm3, %xmm1
+ mulpd %xmm0, %xmm3
+ mulsd %xmm0, %xmm0
+ mulpd 144(%rax), %xmm1
+ mulpd %xmm3, %xmm4
+ movq %xmm1, %xmm3
+ addpd %xmm4, %xmm7
+ movq %xmm1, %xmm4
+ mulsd %xmm7, %xmm0
+ unpckhpd %xmm7, %xmm7
+ addsd %xmm7, %xmm0
+ unpckhpd %xmm1, %xmm1
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ movq %xmm2, %xmm4
+ movq 144(%rax), %xmm7
+ unpckhpd %xmm2, %xmm2
+ addsd 152(%rax), %xmm7
+ mulsd %xmm2, %xmm7
+ addsd 136(%rax), %xmm7
+ addsd %xmm1, %xmm7
+ addsd %xmm7, %xmm0
+ movq ONE(%rip), %xmm7
+ mulsd %xmm6, %xmm4
+ movq 168(%rax), %xmm2
+ andpd %xmm6, %xmm2
+ mulsd %xmm2, %xmm5
+ mulsd 160(%rax), %xmm6
+ subsd %xmm5, %xmm7
+ subsd 128(%rax), %xmm2
+ subsd %xmm4, %xmm7
+ mulsd %xmm6, %xmm7
+ movq %xmm3, %xmm4
+ subsd %xmm2, %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm4
+ addsd %xmm4, %xmm0
+ subsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_0.0.1:
+ jg .L_2TAG_PACKET_1.0.1
+ pextrw $3, %xmm0, %eax
+ movl %eax, %edx
+ andl $32752, %eax
+ je .L_2TAG_PACKET_2.0.1
+ andl $32767, %edx
+ cmpl $15904, %edx
+ jb .L_2TAG_PACKET_3.0.1
+ movq %xmm0, %xmm2
+ movq %xmm0, %xmm3
+ movq Q_11(%rip), %xmm1
+ mulsd %xmm0, %xmm2
+ mulsd %xmm2, %xmm3
+ mulsd %xmm2, %xmm1
+ addsd Q_9(%rip), %xmm1
+ mulsd %xmm2, %xmm1
+ addsd Q_7(%rip), %xmm1
+ mulsd %xmm2, %xmm1
+ addsd Q_5(%rip), %xmm1
+ mulsd %xmm2, %xmm1
+ addsd Q_3(%rip), %xmm1
+ mulsd %xmm3, %xmm1
+ addsd %xmm1, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_3.0.1:
+ movq TWO_POW_55(%rip), %xmm3
+ mulsd %xmm0, %xmm3
+ addsd %xmm3, %xmm0
+ mulsd TWO_POW_M55(%rip), %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_2.0.1:
+ movq %xmm0, %xmm1
+ mulsd %xmm1, %xmm1
+ jmp ..B1.4
+.L_2TAG_PACKET_1.0.1:
+ pextrw $3, %xmm0, %eax
+ andl $32752, %eax
+ cmpl $32752, %eax
+ je .L_2TAG_PACKET_4.0.1
+ pextrw $3, %xmm0, %ecx
+ andl $32752, %ecx
+ subl $16224, %ecx
+ shrl $7, %ecx
+ andl $65532, %ecx
+ lea PI_INV_TABLE(%rip), %r11
+ addq %r11, %rcx
+ movd %xmm0, %rax
+ movl 20(%rcx), %r10d
+ movl 24(%rcx), %r8d
+ movl %eax, %edx
+ shrq $21, %rax
+ orl $-2147483648, %eax
+ shrl $11, %eax
+ movl %r10d, %r9d
+ imulq %rdx, %r10
+ imulq %rax, %r9
+ imulq %rax, %r8
+ movl 16(%rcx), %esi
+ movl 12(%rcx), %edi
+ movl %r10d, %r11d
+ shrq $32, %r10
+ addq %r10, %r9
+ addq %r8, %r11
+ movl %r11d, %r8d
+ shrq $32, %r11
+ addq %r11, %r9
+ movl %esi, %r10d
+ imulq %rdx, %rsi
+ imulq %rax, %r10
+ movl %edi, %r11d
+ imulq %rdx, %rdi
+ movl %esi, %ebx
+ shrq $32, %rsi
+ addq %rbx, %r9
+ movl %r9d, %ebx
+ shrq $32, %r9
+ addq %rsi, %r10
+ addq %r9, %r10
+ shlq $32, %rbx
+ orq %rbx, %r8
+ imulq %rax, %r11
+ movl 8(%rcx), %r9d
+ movl 4(%rcx), %esi
+ movl %edi, %ebx
+ shrq $32, %rdi
+ addq %rbx, %r10
+ movl %r10d, %ebx
+ shrq $32, %r10
+ addq %rdi, %r11
+ addq %r10, %r11
+ movq %r9, %rdi
+ imulq %rdx, %r9
+ imulq %rax, %rdi
+ movl %r9d, %r10d
+ shrq $32, %r9
+ addq %r10, %r11
+ movl %r11d, %r10d
+ shrq $32, %r11
+ addq %r9, %rdi
+ addq %r11, %rdi
+ movq %rsi, %r9
+ imulq %rdx, %rsi
+ imulq %rax, %r9
+ shlq $32, %r10
+ orq %rbx, %r10
+ movl (%rcx), %eax
+ movl %esi, %r11d
+ shrq $32, %rsi
+ addq %r11, %rdi
+ movl %edi, %r11d
+ shrq $32, %rdi
+ addq %rsi, %r9
+ addq %rdi, %r9
+ imulq %rax, %rdx
+ pextrw $3, %xmm0, %ebx
+ lea PI_INV_TABLE(%rip), %rdi
+ subq %rdi, %rcx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl %ecx, %ecx
+ addl $19, %ecx
+ movl $32768, %esi
+ andl %ebx, %esi
+ shrl $4, %ebx
+ andl $2047, %ebx
+ subl $1023, %ebx
+ subl %ebx, %ecx
+ addq %rdx, %r9
+ movl %ecx, %edx
+ addl $32, %edx
+ cmpl $0, %ecx
+ jl .L_2TAG_PACKET_5.0.1
+ negl %ecx
+ addl $29, %ecx
+ shll %cl, %r9d
+ movl %r9d, %edi
+ andl $1073741823, %r9d
+ testl $536870912, %r9d
+ jne .L_2TAG_PACKET_6.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+.L_2TAG_PACKET_7.0.1:
+.L_2TAG_PACKET_8.0.1:
+ cmpq $0, %r9
+ je .L_2TAG_PACKET_9.0.1
+.L_2TAG_PACKET_10.0.1:
+ bsr %r9, %r11
+ movl $29, %ecx
+ subl %r11d, %ecx
+ jle .L_2TAG_PACKET_11.0.1
+ shlq %cl, %r9
+ movq %r10, %rax
+ shlq %cl, %r10
+ addl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shrq %cl, %rax
+ shrq %cl, %r8
+ orq %rax, %r9
+ orq %r8, %r10
+.L_2TAG_PACKET_12.0.1:
+ cvtsi2sdq %r9, %xmm0
+ shrq $1, %r10
+ cvtsi2sdq %r10, %xmm3
+ xorpd %xmm4, %xmm4
+ shll $4, %edx
+ negl %edx
+ addl $16368, %edx
+ orl %esi, %edx
+ xorl %ebx, %edx
+ pinsrw $3, %edx, %xmm4
+ movq PI_4(%rip), %xmm2
+ movq 8+PI_4(%rip), %xmm7
+ xorpd %xmm5, %xmm5
+ subl $1008, %edx
+ pinsrw $3, %edx, %xmm5
+ mulsd %xmm4, %xmm0
+ shll $16, %esi
+ sarl $31, %esi
+ mulsd %xmm5, %xmm3
+ movq %xmm0, %xmm1
+ mulsd %xmm2, %xmm0
+ shrl $30, %edi
+ addsd %xmm3, %xmm1
+ mulsd %xmm2, %xmm3
+ addl %esi, %edi
+ xorl %esi, %edi
+ mulsd %xmm1, %xmm7
+ movl %edi, %eax
+ addsd %xmm3, %xmm7
+ movq %xmm0, %xmm2
+ addsd %xmm7, %xmm0
+ subsd %xmm0, %xmm2
+ addsd %xmm2, %xmm7
+ movapd PI32INV(%rip), %xmm1
+ movddup %xmm0, %xmm0
+ movapd sign_mask(%rip), %xmm4
+ andpd %xmm0, %xmm4
+ mulpd %xmm0, %xmm1
+ movddup %xmm7, %xmm7
+ movapd ONEHALF(%rip), %xmm5
+ movapd MUL16(%rip), %xmm6
+ orps %xmm4, %xmm5
+ addpd %xmm5, %xmm1
+ movapd %xmm1, %xmm5
+ unpckhpd %xmm5, %xmm5
+ cvttsd2si %xmm5, %edx
+ cvttpd2dq %xmm1, %xmm1
+ cvtdq2pd %xmm1, %xmm1
+ mulpd %xmm6, %xmm1
+ movapd P_1(%rip), %xmm3
+ movq QQ_2(%rip), %xmm5
+ shll $4, %eax
+ addl $469248, %edx
+ movapd P_2(%rip), %xmm4
+ mulpd %xmm1, %xmm3
+ addl %eax, %edx
+ andl $31, %edx
+ mulsd %xmm1, %xmm5
+ movl %edx, %ecx
+ mulpd %xmm1, %xmm4
+ shll $1, %ecx
+ subpd %xmm3, %xmm0
+ mulpd P_3(%rip), %xmm1
+ addl %ecx, %edx
+ shll $2, %ecx
+ addl %ecx, %edx
+ addsd %xmm0, %xmm5
+ movapd %xmm0, %xmm2
+ subpd %xmm4, %xmm0
+ movq ONE(%rip), %xmm6
+ shll $4, %edx
+ lea Ctable(%rip), %rax
+ andpd MASK_35(%rip), %xmm5
+ movapd %xmm0, %xmm3
+ addq %rdx, %rax
+ subpd %xmm0, %xmm2
+ unpckhpd %xmm0, %xmm0
+ divsd %xmm5, %xmm6
+ subpd %xmm4, %xmm2
+ subsd %xmm5, %xmm3
+ subpd %xmm1, %xmm2
+ movapd 48(%rax), %xmm1
+ addpd %xmm7, %xmm2
+ movapd 16(%rax), %xmm7
+ mulpd %xmm0, %xmm7
+ movapd 96(%rax), %xmm4
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm4
+ addsd %xmm3, %xmm2
+ movapd %xmm0, %xmm3
+ mulpd %xmm0, %xmm0
+ addpd (%rax), %xmm7
+ addpd 32(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd 80(%rax), %xmm4
+ addpd %xmm1, %xmm7
+ movapd 112(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ mulpd %xmm0, %xmm0
+ addpd %xmm1, %xmm4
+ movapd 64(%rax), %xmm1
+ mulpd %xmm0, %xmm1
+ addpd %xmm1, %xmm7
+ movapd %xmm3, %xmm1
+ mulpd %xmm0, %xmm3
+ mulsd %xmm0, %xmm0
+ mulpd 144(%rax), %xmm1
+ mulpd %xmm3, %xmm4
+ movq %xmm1, %xmm3
+ addpd %xmm4, %xmm7
+ movq %xmm1, %xmm4
+ mulsd %xmm7, %xmm0
+ unpckhpd %xmm7, %xmm7
+ addsd %xmm7, %xmm0
+ unpckhpd %xmm1, %xmm1
+ addsd %xmm1, %xmm3
+ subsd %xmm3, %xmm4
+ addsd %xmm4, %xmm1
+ movq %xmm2, %xmm4
+ movq 144(%rax), %xmm7
+ unpckhpd %xmm2, %xmm2
+ addsd 152(%rax), %xmm7
+ mulsd %xmm2, %xmm7
+ addsd 136(%rax), %xmm7
+ addsd %xmm1, %xmm7
+ addsd %xmm7, %xmm0
+ movq ONE(%rip), %xmm7
+ mulsd %xmm6, %xmm4
+ movq 168(%rax), %xmm2
+ andpd %xmm6, %xmm2
+ mulsd %xmm2, %xmm5
+ mulsd 160(%rax), %xmm6
+ subsd %xmm5, %xmm7
+ subsd 128(%rax), %xmm2
+ subsd %xmm4, %xmm7
+ mulsd %xmm6, %xmm7
+ movq %xmm3, %xmm4
+ subsd %xmm2, %xmm3
+ addsd %xmm3, %xmm2
+ subsd %xmm2, %xmm4
+ addsd %xmm4, %xmm0
+ subsd %xmm7, %xmm0
+ addsd %xmm3, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_9.0.1:
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ movq $0, %r8
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_10.0.1
+ addl $64, %edx
+ movq %r10, %r9
+ movq %r8, %r10
+ cmpq $0, %r9
+ jne .L_2TAG_PACKET_10.0.1
+ jmp .L_2TAG_PACKET_12.0.1
+.L_2TAG_PACKET_11.0.1:
+ je .L_2TAG_PACKET_12.0.1
+ negl %ecx
+ shrq %cl, %r10
+ movq %r9, %rax
+ shrq %cl, %r9
+ subl %ecx, %edx
+ negl %ecx
+ addl $64, %ecx
+ shlq %cl, %rax
+ orq %rax, %r10
+ jmp .L_2TAG_PACKET_12.0.1
+.L_2TAG_PACKET_5.0.1:
+ notl %ecx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq %cl, %r9
+ movq %r9, %rdi
+ testl $-2147483648, %r9d
+ jne .L_2TAG_PACKET_13.0.1
+ shrl %cl, %r9d
+ movl $0, %ebx
+ shrq $2, %rdi
+ jmp .L_2TAG_PACKET_8.0.1
+.L_2TAG_PACKET_6.0.1:
+ shrl %cl, %r9d
+ movl $1073741824, %ebx
+ shrl %cl, %ebx
+ shlq $32, %r9
+ orq %r11, %r9
+ shlq $32, %rbx
+ addl $1073741824, %edi
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ jmp .L_2TAG_PACKET_7.0.1
+.L_2TAG_PACKET_13.0.1:
+ shrl %cl, %r9d
+ movq $0x100000000, %rbx
+ shrq %cl, %rbx
+ movq $0, %rcx
+ movq $0, %r11
+ subq %r8, %rcx
+ sbbq %r10, %r11
+ sbbq %r9, %rbx
+ movq %rcx, %r8
+ movq %r11, %r10
+ movq %rbx, %r9
+ movl $32768, %ebx
+ shrq $2, %rdi
+ addl $1073741824, %edi
+ jmp .L_2TAG_PACKET_8.0.1
+.L_2TAG_PACKET_4.0.1:
+ movq 8(%rsp), %xmm0
+ mulsd NEG_ZERO(%rip), %xmm0
+ movq %xmm0, (%rsp)
+.L_2TAG_PACKET_14.0.1:
+..B1.4:
+ addq $16, %rsp
+..___tag_value_tan.6:
+ popq %rbx
+..___tag_value_tan.8:
+ ret
+..___tag_value_tan.9:
+END(tan)
+# -- End tan
+ .section .rodata, "a"
+ .align 16
+ .align 16
+ONEHALF:
+ .long 0
+ .long 1071644672
+ .long 0
+ .long 1071644672
+ .type ONEHALF,@object
+ .size ONEHALF,16
+ .align 16
+MUL16:
+ .long 0
+ .long 1076887552
+ .long 0
+ .long 1072693248
+ .type MUL16,@object
+ .size MUL16,16
+ .align 16
+sign_mask:
+ .long 0
+ .long 2147483648
+ .long 0
+ .long 2147483648
+ .type sign_mask,@object
+ .size sign_mask,16
+ .align 16
+PI32INV:
+ .long 1841940611
+ .long 1071931184
+ .long 1841940611
+ .long 1076125488
+ .type PI32INV,@object
+ .size PI32INV,16
+ .align 16
+P_1:
+ .long 1413758976
+ .long 1069097467
+ .long 1413742592
+ .long 1069097467
+ .type P_1,@object
+ .size P_1,16
+ .align 16
+P_2:
+ .long 1734819840
+ .long 3174229945
+ .long 1280049152
+ .long 1028033571
+ .type P_2,@object
+ .size P_2,16
+ .align 16
+P_3:
+ .long 923219018
+ .long 984130272
+ .long 57701189
+ .long 988383790
+ .type P_3,@object
+ .size P_3,16
+ .align 16
+Ctable:
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2284589306
+ .long 1066820852
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1441186365
+ .long 1065494243
+ .long 1431655765
+ .long 1070945621
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 236289504
+ .long 1064135997
+ .long 286331153
+ .long 1069617425
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1160476131
+ .long 1062722102
+ .long 463583772
+ .long 1068212666
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1313038235
+ .long 1066745731
+ .long 0
+ .long 0
+ .long 1013878342
+ .long 1067152618
+ .long 0
+ .long 0
+ .long 3663426833
+ .long 1065725283
+ .long 3693284251
+ .long 1069118808
+ .long 650852232
+ .long 1065882376
+ .long 1996245381
+ .long 1071000265
+ .long 2008746170
+ .long 1064664197
+ .long 3055842593
+ .long 1068578846
+ .long 1495406348
+ .long 1064652437
+ .long 2269530157
+ .long 1069711235
+ .long 285563696
+ .long 1063576465
+ .long 1046897440
+ .long 1067705865
+ .long 233429731
+ .long 1063453151
+ .long 522045958
+ .long 1068476590
+ .long 2354785698
+ .long 1069102779
+ .long 1317599141
+ .long 1012432133
+ .long 0
+ .long 1072693248
+ .long 2828230105
+ .long 1065606626
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1512545955
+ .long 1068119047
+ .long 0
+ .long 0
+ .long 1127048698
+ .long 1067909459
+ .long 0
+ .long 0
+ .long 2300200450
+ .long 1067254767
+ .long 3593250296
+ .long 1070233561
+ .long 3009365544
+ .long 1066902117
+ .long 1127373050
+ .long 1071173457
+ .long 3046103305
+ .long 1066371299
+ .long 24583402
+ .long 1069723988
+ .long 4082511758
+ .long 1065914199
+ .long 3223889699
+ .long 1070020367
+ .long 548927984
+ .long 1065415756
+ .long 558065897
+ .long 1068949418
+ .long 680073315
+ .long 1064940726
+ .long 388873200
+ .long 1068944270
+ .long 3763679576
+ .long 1070167541
+ .long 1497360404
+ .long 1009710547
+ .long 0
+ .long 1072693248
+ .long 64931152
+ .long 1067729411
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 2467582782
+ .long 1069256389
+ .long 0
+ .long 0
+ .long 162150096
+ .long 1068946420
+ .long 0
+ .long 0
+ .long 3702794237
+ .long 1068579152
+ .long 3631919291
+ .long 1070936926
+ .long 3456821413
+ .long 1068217218
+ .long 2031366438
+ .long 1071495745
+ .long 1596664020
+ .long 1067799281
+ .long 1509038701
+ .long 1070601643
+ .long 583171477
+ .long 1067510148
+ .long 3785344682
+ .long 1070618476
+ .long 2402036048
+ .long 1067075736
+ .long 3233018412
+ .long 1069913186
+ .long 411280568
+ .long 1066710556
+ .long 1065584192
+ .long 1069747896
+ .long 895247324
+ .long 1070819848
+ .long 500078909
+ .long 3161288781
+ .long 0
+ .long 1072693248
+ .long 729983843
+ .long 1068994194
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1458794562
+ .long 1070398550
+ .long 0
+ .long 0
+ .long 2857777489
+ .long 1070137637
+ .long 0
+ .long 0
+ .long 1024359517
+ .long 1069876531
+ .long 2616040238
+ .long 1071582937
+ .long 1609024636
+ .long 1069675088
+ .long 2529240549
+ .long 1071836633
+ .long 1510128600
+ .long 1069440113
+ .long 2251697184
+ .long 1071253687
+ .long 1262761453
+ .long 1069142850
+ .long 1263091857
+ .long 1071190461
+ .long 3043383486
+ .long 1068885191
+ .long 2476932470
+ .long 1070842002
+ .long 3659995028
+ .long 1068669200
+ .long 855891755
+ .long 1070696894
+ .long 2583490354
+ .long 1071284857
+ .long 3062633575
+ .long 1014008623
+ .long 0
+ .long 1072693248
+ .long 2550940471
+ .long 1069938201
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3422807297
+ .long 1071640847
+ .long 0
+ .long 0
+ .long 1151658053
+ .long 1071494715
+ .long 0
+ .long 0
+ .long 929607071
+ .long 1071346340
+ .long 1037049034
+ .long 1072037305
+ .long 2786928657
+ .long 1071215282
+ .long 1447406859
+ .long 1072265209
+ .long 3490952107
+ .long 1071090851
+ .long 3205232916
+ .long 1071968658
+ .long 1297344304
+ .long 1070977120
+ .long 1066110976
+ .long 1071946035
+ .long 3803721480
+ .long 1070871082
+ .long 1496754229
+ .long 1071807201
+ .long 2982550683
+ .long 1070773243
+ .long 4014441989
+ .long 1071736222
+ .long 419968236
+ .long 1071717047
+ .long 3451266538
+ .long 3163444811
+ .long 0
+ .long 1072693248
+ .long 2960267235
+ .long 1070745841
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 724322768
+ .long 1072881308
+ .long 0
+ .long 0
+ .long 643153048
+ .long 1072905816
+ .long 0
+ .long 0
+ .long 4285079458
+ .long 1072928558
+ .long 3912524733
+ .long 1072622983
+ .long 118362272
+ .long 1072952754
+ .long 4107767972
+ .long 1072827408
+ .long 2689502883
+ .long 1072976922
+ .long 946523347
+ .long 1072772766
+ .long 573204189
+ .long 1073001761
+ .long 581531518
+ .long 1072826391
+ .long 1386236526
+ .long 1073026959
+ .long 3718905905
+ .long 1072832823
+ .long 1145558140
+ .long 1073052673
+ .long 513572637
+ .long 1072861969
+ .long 716700048
+ .long 1071997368
+ .long 547126769
+ .long 1015523525
+ .long 0
+ .long 1072693248
+ .long 1097907398
+ .long 1071420120
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 3349892442
+ .long 1074290212
+ .long 0
+ .long 0
+ .long 3913197405
+ .long 1074501181
+ .long 0
+ .long 0
+ .long 2494034522
+ .long 1074739170
+ .long 1264738763
+ .long 1073084804
+ .long 1520293906
+ .long 1074899632
+ .long 1958936600
+ .long 1073411493
+ .long 2133649635
+ .long 1075052171
+ .long 4270740730
+ .long 1073574708
+ .long 1728930189
+ .long 1075224844
+ .long 1303998552
+ .long 1073799186
+ .long 618611933
+ .long 1075420255
+ .long 1769828046
+ .long 1073938542
+ .long 2200537986
+ .long 1075641421
+ .long 433361110
+ .long 1074105369
+ .long 719595600
+ .long 1072317184
+ .long 294527206
+ .long 3162140088
+ .long 0
+ .long 1073741824
+ .long 3811788216
+ .long 3218400550
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1704352102
+ .long 1075943001
+ .long 0
+ .long 0
+ .long 2284589306
+ .long 1076258036
+ .long 0
+ .long 0
+ .long 2211264291
+ .long 1076659010
+ .long 0
+ .long 1073741824
+ .long 1441186365
+ .long 1077028579
+ .long 1431655765
+ .long 1074091349
+ .long 876943673
+ .long 1077353622
+ .long 2863311531
+ .long 1074440874
+ .long 236289504
+ .long 1077767485
+ .long 286331153
+ .long 1074860305
+ .long 2805473311
+ .long 1078115278
+ .long 95443718
+ .long 1075163227
+ .long 1160476131
+ .long 1078450742
+ .long 463583772
+ .long 1075552698
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 0
+ .long 1073741824
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 0
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+ .long 3157194195
+ .long 0
+ .long 1072693248
+ .long 64931152
+ .long 1067729411
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .long 1313038235
+ .long 3214229379
+ .long 0
+ .long 0
+ .long 1013878342
+ .long 1067152618
+ .long 0
+ .long 0
+ .long 3663426833
+ .long 3213208931
+ .long 3693284251
+ .long 3216602456
+ .long 650852232
+ .long 1065882376
+ .long 1996245381
+ .long 1071000265
+ .long 2008746170
+ .long 3212147845
+ .long 3055842593
+ .long 3216062494
+ .long 1495406348
+ .long 1064652437
+ .long 2269530157
+ .long 1069711235
+ .long 285563696
+ .long 3211060113
+ .long 1046897440
+ .long 3215189513
+ .long 233429731
+ .long 1063453151
+ .long 522045958
+ .long 1068476590
+ .long 2354785698
+ .long 3216586427
+ .long 1317599141
+ .long 3159915781
+ .long 0
+ .long 1072693248
+ .long 2828230105
+ .long 1065606626
+ .long 0
+ .long 0
+ .long 0
+ .long 0
+ .type Ctable,@object
+ .size Ctable,5632
+ .align 16
+MASK_35:
+ .long 4294705152
+ .long 4294967295
+ .long 0
+ .long 0
+ .type MASK_35,@object
+ .size MASK_35,16
+ .align 16
+Q_11:
+ .long 3103673719
+ .long 1065509018
+ .type Q_11,@object
+ .size Q_11,8
+ .space 8, 0x00 # pad
+ .align 16
+Q_9:
+ .long 3213130307
+ .long 1066820768
+ .type Q_9,@object
+ .size Q_9,8
+ .space 8, 0x00 # pad
+ .align 16
+Q_7:
+ .long 1388628139
+ .long 1068212666
+ .type Q_7,@object
+ .size Q_7,8
+ .space 8, 0x00 # pad
+ .align 16
+Q_5:
+ .long 285812550
+ .long 1069617425
+ .type Q_5,@object
+ .size Q_5,8
+ .space 8, 0x00 # pad
+ .align 16
+Q_3:
+ .long 1431655954
+ .long 1070945621
+ .type Q_3,@object
+ .size Q_3,8
+ .space 8, 0x00 # pad
+ .align 16
+PI_INV_TABLE:
+ .long 0
+ .long 0
+ .long 2734261102
+ .long 1313084713
+ .long 4230436817
+ .long 4113882560
+ .long 3680671129
+ .long 1011060801
+ .long 4266746795
+ .long 3736847713
+ .long 3072618042
+ .long 1112396512
+ .long 105459434
+ .long 164729372
+ .long 4263373596
+ .long 2972297022
+ .long 3900847605
+ .long 784024708
+ .long 3919343654
+ .long 3026157121
+ .long 965858873
+ .long 2203269620
+ .long 2625920907
+ .long 3187222587
+ .long 536385535
+ .long 3724908559
+ .long 4012839307
+ .long 1510632735
+ .long 1832287951
+ .long 667617719
+ .long 1330003814
+ .long 2657085997
+ .long 1965537991
+ .long 3957715323
+ .long 1023883767
+ .long 2320667370
+ .long 1811636145
+ .long 529358088
+ .long 1443049542
+ .long 4235946923
+ .long 4040145953
+ .type PI_INV_TABLE,@object
+ .size PI_INV_TABLE,164
+ .space 12, 0x00 # pad
+ .align 16
+PI_4:
+ .long 0
+ .long 1072243195
+ .long 1175561766
+ .long 1048908043
+ .type PI_4,@object
+ .size PI_4,16
+ .align 8
+QQ_2:
+ .long 1734816687
+ .long 1026746297
+ .type QQ_2,@object
+ .size QQ_2,8
+ .align 8
+ONE:
+ .long 0
+ .long 1072693248
+ .type ONE,@object
+ .size ONE,8
+ .align 8
+TWO_POW_55:
+ .long 0
+ .long 1130364928
+ .type TWO_POW_55,@object
+ .size TWO_POW_55,8
+ .align 8
+TWO_POW_M55:
+ .long 0
+ .long 1015021568
+ .type TWO_POW_M55,@object
+ .size TWO_POW_M55,8
+ .align 4
+NEG_ZERO:
+ .long 0
+ .long 2147483648
+ .type NEG_ZERO,@object
+ .size NEG_ZERO,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000002c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_tan.1-.
+ .4byte ..___tag_value_tan.9-..___tag_value_tan.1
+ .2byte 0x0400
+ .4byte ..___tag_value_tan.3-..___tag_value_tan.1
+ .4byte 0x0283100e
+ .byte 0x04
+ .4byte ..___tag_value_tan.5-..___tag_value_tan.3
+ .2byte 0x200e
+ .byte 0x04
+ .4byte ..___tag_value_tan.6-..___tag_value_tan.5
+ .4byte 0x04c3100e
+ .4byte ..___tag_value_tan.8-..___tag_value_tan.6
+ .2byte 0x080e
+# End
diff --git a/libm/x86_64/s_tanh.S b/libm/x86_64/s_tanh.S
new file mode 100644
index 0000000..2c8f9bf
--- /dev/null
+++ b/libm/x86_64/s_tanh.S
@@ -0,0 +1,1392 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+/******************************************************************************/
+// ALGORITHM DESCRIPTION
+// ---------------------
+//
+// tanh(x)=(exp(x)-exp(-x))/(exp(x)+exp(-x))=(1-exp(-2*x))/(1+exp(-2*x))
+//
+// Let |x|=xH+xL (upper 26 bits, lower 27 bits)
+// log2(e) rounded to 26 bits (high part) plus a double precision low part is
+// L2EH+L2EL (upper 26, lower 53 bits)
+//
+// Let xH*L2EH=k+f+r`, where (k+f)*2^8*2=int(xH*L2EH*2^9),
+// f=0.b1 b2 ... b8, k integer
+// 2^{-f} is approximated as Tn[f]+Dn[f]
+// Tn stores the high 53 bits, Dn stores (2^{-f}-Tn[f]) rounded to double precision
+//
+// r=r`+xL*L2EH+|x|*L2EL, |r|<2^{-9}+2^{-14},
+// for |x| in [23/64,3*2^7)
+// e^{-2*|x|}=2^{-k-f}*2^{-r} ~ 2^{-k}*(Tn+Dn)*(1+p)=(T0+D0)*(1+p)
+//
+// For |x| in [2^{-4},2^5):
+// 2^{-r}-1 ~ p=c1*r+c2*r^2+..+c5*r^5
+// Let R=1/(1+T0+p*T0), truncated to 35 significant bits
+// R=1/(1+T0+D0+p*(T0+D0))*(1+eps), |eps|<2^{-33}
+// 1+T0+D0+p*(T0+D0)=KH+KL, where
+// KH=(1+T0+c1*r*T0)_high (leading 17 bits)
+// KL=T0_low+D0+(c1*r*T0)_low+c1*r*D0+(c2*r^2+..c5*r^5)*T0
+// eps ~ (R*KH-1)+R*KL
+// 1/(1+T0+D0+p*(T0+D0)) ~ R-R*eps
+// The result is approximated as (1-T0-D0-(T0+D0)*p)*(R-R*eps)
+// 1-T0-D0-(T0+D0)*p=-((KH-2)+KL)
+// The result is formed as
+// (KH-2)*R+(-(KH-2)*R*eps+(KL*R-KL*R*eps)), with the correct sign
+// set at the end
+//
+// For |x| in [2^{-64},2^{-4}):
+// A Taylor series expansion is used (x+p3*x^3+..+p13*x^{13})
+//
+// For |x|<2^{-64}: x is returned
+//
+// For |x|>=2^32: return +/-1
+//
+// Special cases:
+// tanh(NaN) = quiet NaN, and raise invalid exception
+// tanh(INF) = that INF
+// tanh(+/-0) = +/-0
+//
+/******************************************************************************/
+
+#include <private/bionic_asm.h>
+# -- Begin tanh
+ENTRY(tanh)
+# parameter 1: %xmm0
+..B1.1:
+..___tag_value_tanh.1:
+ pushq %rsi
+..___tag_value_tanh.3:
+..B1.2:
+ movsd HALFMASK(%rip), %xmm3
+ xorpd %xmm4, %xmm4
+ movsd L2E(%rip), %xmm1
+ movsd 8+L2E(%rip), %xmm2
+ movl $32768, %eax
+ pinsrw $3, %eax, %xmm4
+ movsd Shifter(%rip), %xmm6
+ pextrw $3, %xmm0, %ecx
+ andpd %xmm0, %xmm3
+ andnpd %xmm0, %xmm4
+ pshufd $68, %xmm4, %xmm5
+ movl $32768, %edx
+ andl %ecx, %edx
+ andl $32767, %ecx
+ subl $16304, %ecx
+ cmpl $144, %ecx
+ jae .L_2TAG_PACKET_0.0.1
+ subsd %xmm3, %xmm4
+ mulsd %xmm1, %xmm3
+ mulsd %xmm5, %xmm2
+ cvtsd2si %xmm3, %eax
+ movq %xmm3, %xmm7
+ addsd %xmm6, %xmm3
+ mulsd %xmm4, %xmm1
+ movsd ONEMASK(%rip), %xmm4
+ subsd %xmm6, %xmm3
+ xorpd %xmm0, %xmm0
+ addsd %xmm1, %xmm2
+ subsd %xmm3, %xmm7
+ movapd cv(%rip), %xmm6
+ addsd %xmm7, %xmm2
+ movl $255, %ecx
+ andl %eax, %ecx
+ addl %ecx, %ecx
+ lea T2_neg_f(%rip), %r8
+ movapd (%r8,%rcx,8), %xmm5
+ shrl $4, %eax
+ andl $65520, %eax
+ subl $16368, %eax
+ negl %eax
+ pinsrw $3, %eax, %xmm0
+ movapd 16+cv(%rip), %xmm1
+ pshufd $68, %xmm0, %xmm0
+ mulpd %xmm5, %xmm0
+ movsd 32+cv(%rip), %xmm7
+ pshufd $68, %xmm2, %xmm2
+ movq %xmm4, %xmm5
+ addsd %xmm0, %xmm4
+ mulpd %xmm2, %xmm6
+ mulsd %xmm2, %xmm7
+ mulpd %xmm2, %xmm2
+ addpd %xmm6, %xmm1
+ mulsd %xmm2, %xmm2
+ movsd ONEMASK(%rip), %xmm3
+ mulpd %xmm2, %xmm1
+ pshufd $78, %xmm1, %xmm6
+ addsd %xmm6, %xmm1
+ movq %xmm1, %xmm6
+ addsd %xmm7, %xmm1
+ mulsd %xmm0, %xmm1
+ addsd %xmm4, %xmm1
+ andpd MASK3(%rip), %xmm4
+ divsd %xmm1, %xmm5
+ subsd %xmm4, %xmm3
+ pshufd $238, %xmm0, %xmm1
+ addsd %xmm0, %xmm3
+ movq %xmm4, %xmm2
+ addsd %xmm1, %xmm3
+ mulsd %xmm7, %xmm1
+ mulsd %xmm0, %xmm7
+ addsd %xmm1, %xmm3
+ addsd %xmm7, %xmm4
+ movsd RMASK(%rip), %xmm1
+ mulsd %xmm0, %xmm6
+ andpd MASK3(%rip), %xmm4
+ addsd %xmm6, %xmm3
+ movq %xmm4, %xmm6
+ subsd %xmm4, %xmm2
+ addsd %xmm7, %xmm2
+ movsd ONEMASK(%rip), %xmm7
+ andpd %xmm1, %xmm5
+ addsd %xmm2, %xmm3
+ mulsd %xmm5, %xmm4
+ xorpd %xmm2, %xmm2
+ mulsd %xmm5, %xmm3
+ subsd TWOMASK(%rip), %xmm6
+ subsd %xmm7, %xmm4
+ xorl $32768, %edx
+ pinsrw $3, %edx, %xmm2
+ addsd %xmm3, %xmm4
+ mulsd %xmm5, %xmm6
+ movq %xmm3, %xmm1
+ mulsd %xmm4, %xmm3
+ movq %xmm6, %xmm0
+ mulsd %xmm4, %xmm6
+ subsd %xmm3, %xmm1
+ subsd %xmm6, %xmm1
+ addsd %xmm1, %xmm0
+ xorpd %xmm2, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_0.0.1:
+ addl $960, %ecx
+ cmpl $1104, %ecx
+ jae .L_2TAG_PACKET_1.0.1
+ movapd pv(%rip), %xmm2
+ pshufd $68, %xmm0, %xmm1
+ movapd 16+pv(%rip), %xmm3
+ mulpd %xmm1, %xmm1
+ movapd 32+pv(%rip), %xmm4
+ mulpd %xmm1, %xmm2
+ pshufd $68, %xmm1, %xmm5
+ addpd %xmm3, %xmm2
+ mulsd %xmm5, %xmm5
+ mulpd %xmm1, %xmm2
+ mulsd %xmm5, %xmm5
+ addpd %xmm4, %xmm2
+ mulpd %xmm5, %xmm2
+ pshufd $238, %xmm2, %xmm5
+ addsd %xmm5, %xmm2
+ mulsd %xmm0, %xmm2
+ addsd %xmm2, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_1.0.1:
+ addl $15344, %ecx
+ cmpl $16448, %ecx
+ jae .L_2TAG_PACKET_2.0.1
+ cmpl $16, %ecx
+ jb .L_2TAG_PACKET_3.0.1
+ xorpd %xmm2, %xmm2
+ movl $17392, %eax
+ pinsrw $3, %eax, %xmm2
+ mulsd %xmm0, %xmm2
+ addsd %xmm0, %xmm2
+ jmp ..B1.4
+.L_2TAG_PACKET_3.0.1:
+ movq %xmm0, %xmm2
+ mulsd %xmm2, %xmm2
+ jmp ..B1.4
+.L_2TAG_PACKET_2.0.1:
+ cmpl $32752, %ecx
+ jae .L_2TAG_PACKET_4.0.1
+ xorpd %xmm2, %xmm2
+ movl $15344, %ecx
+ pinsrw $3, %ecx, %xmm2
+ movq %xmm2, %xmm3
+ mulsd %xmm2, %xmm2
+ addsd %xmm3, %xmm2
+.L_2TAG_PACKET_5.0.1:
+ xorpd %xmm0, %xmm0
+ orl $16368, %edx
+ pinsrw $3, %edx, %xmm0
+ jmp ..B1.4
+.L_2TAG_PACKET_4.0.1:
+ movq %xmm0, %xmm2
+ movd %xmm0, %eax
+ psrlq $20, %xmm2
+ movd %xmm2, %ecx
+ orl %eax, %ecx
+ cmpl $0, %ecx
+ je .L_2TAG_PACKET_5.0.1
+ addsd %xmm0, %xmm0
+ movq %xmm0, (%rsp)
+.L_2TAG_PACKET_6.0.1:
+..B1.4:
+ popq %rcx
+..___tag_value_tanh.4:
+ ret
+..___tag_value_tanh.5:
+END(tanh)
+# -- End tanh
+ .section .rodata, "a"
+ .align 16
+ .align 16
+L2E:
+ .long 1610612736
+ .long 1082594631
+ .long 4166901572
+ .long 1055174155
+ .type L2E,@object
+ .size L2E,16
+ .align 16
+Shifter:
+ .long 0
+ .long 1127743488
+ .long 0
+ .long 3275227136
+ .type Shifter,@object
+ .size Shifter,16
+ .align 16
+cv:
+ .long 3884607281
+ .long 3168131199
+ .long 3607404735
+ .long 3190582024
+ .long 1874480759
+ .long 1032041131
+ .long 4286760334
+ .long 1053736893
+ .long 4277811695
+ .long 3211144770
+ .long 0
+ .long 0
+ .type cv,@object
+ .size cv,48
+ .align 16
+T2_neg_f:
+ .long 0
+ .long 1072693248
+ .long 0
+ .long 0
+ .long 1797923801
+ .long 1072687577
+ .long 1950547427
+ .long 1013229059
+ .long 730821105
+ .long 1072681922
+ .long 2523232743
+ .long 1012067188
+ .long 915592468
+ .long 1072676282
+ .long 352947894
+ .long 3161024371
+ .long 2174652632
+ .long 1072670657
+ .long 4087714590
+ .long 1014450259
+ .long 35929225
+ .long 1072665048
+ .long 2809788041
+ .long 3159436968
+ .long 2912730644
+ .long 1072659453
+ .long 3490067722
+ .long 3163405074
+ .long 2038973688
+ .long 1072653874
+ .long 892941374
+ .long 1016046459
+ .long 1533953344
+ .long 1072648310
+ .long 769171851
+ .long 1015665633
+ .long 1222472308
+ .long 1072642761
+ .long 1054357470
+ .long 3161021018
+ .long 929806999
+ .long 1072637227
+ .long 3205336643
+ .long 1015259557
+ .long 481706282
+ .long 1072631708
+ .long 1696079173
+ .long 3162710528
+ .long 3999357479
+ .long 1072626203
+ .long 2258941616
+ .long 1015924724
+ .long 2719515920
+ .long 1072620714
+ .long 2760332941
+ .long 1015137933
+ .long 764307441
+ .long 1072615240
+ .long 3021057420
+ .long 3163329523
+ .long 2256325230
+ .long 1072609780
+ .long 580117746
+ .long 1015317295
+ .long 2728693978
+ .long 1072604335
+ .long 396109971
+ .long 3163462691
+ .long 2009970496
+ .long 1072598905
+ .long 2159039665
+ .long 3162572948
+ .long 4224142467
+ .long 1072593489
+ .long 3389820386
+ .long 1015207202
+ .long 610758006
+ .long 1072588089
+ .long 1965209397
+ .long 3161866232
+ .long 3884662774
+ .long 1072582702
+ .long 2158611599
+ .long 1014210185
+ .long 991358482
+ .long 1072577331
+ .long 838715019
+ .long 3163157668
+ .long 351641897
+ .long 1072571974
+ .long 2172261526
+ .long 3163010599
+ .long 1796832535
+ .long 1072566631
+ .long 3176955716
+ .long 3160585513
+ .long 863738719
+ .long 1072561303
+ .long 1326992220
+ .long 3162613197
+ .long 1679558232
+ .long 1072555989
+ .long 2390342287
+ .long 3163333970
+ .long 4076975200
+ .long 1072550689
+ .long 2029000899
+ .long 1015208535
+ .long 3594158869
+ .long 1072545404
+ .long 2456521700
+ .long 3163256561
+ .long 64696965
+ .long 1072540134
+ .long 1768797490
+ .long 1015816960
+ .long 1912561781
+ .long 1072534877
+ .long 3147495102
+ .long 1015678253
+ .long 382305176
+ .long 1072529635
+ .long 2347622376
+ .long 3162578625
+ .long 3898795731
+ .long 1072524406
+ .long 1249994144
+ .long 1011869818
+ .long 3707479175
+ .long 1072519192
+ .long 3613079303
+ .long 1014164738
+ .long 3939148246
+ .long 1072513992
+ .long 3210352148
+ .long 1015274323
+ .long 135105010
+ .long 1072508807
+ .long 1906148728
+ .long 3163375739
+ .long 721996136
+ .long 1072503635
+ .long 563754734
+ .long 1015371318
+ .long 1242007932
+ .long 1072498477
+ .long 1132034716
+ .long 3163339831
+ .long 1532734324
+ .long 1072493333
+ .long 3094216535
+ .long 3163162857
+ .long 1432208378
+ .long 1072488203
+ .long 1401068914
+ .long 3162363963
+ .long 778901109
+ .long 1072483087
+ .long 2248183955
+ .long 3161268751
+ .long 3706687593
+ .long 1072477984
+ .long 3521726940
+ .long 1013253067
+ .long 1464976603
+ .long 1072472896
+ .long 3507292405
+ .long 3161977534
+ .long 2483480501
+ .long 1072467821
+ .long 1216371780
+ .long 1013034172
+ .long 2307442995
+ .long 1072462760
+ .long 3190117721
+ .long 3162404539
+ .long 777507147
+ .long 1072457713
+ .long 4282924205
+ .long 1015187533
+ .long 2029714210
+ .long 1072452679
+ .long 613660079
+ .long 1015099143
+ .long 1610600570
+ .long 1072447659
+ .long 3766732298
+ .long 1015760183
+ .long 3657065772
+ .long 1072442652
+ .long 399025623
+ .long 3162957078
+ .long 3716502172
+ .long 1072437659
+ .long 2303740125
+ .long 1014042725
+ .long 1631695677
+ .long 1072432680
+ .long 2717633076
+ .long 3162344026
+ .long 1540824585
+ .long 1072427714
+ .long 1064017011
+ .long 3163487690
+ .long 3287523847
+ .long 1072422761
+ .long 1625971539
+ .long 3157009955
+ .long 2420883922
+ .long 1072417822
+ .long 2049810052
+ .long 1014119888
+ .long 3080351519
+ .long 1072412896
+ .long 3379126788
+ .long 3157218001
+ .long 815859274
+ .long 1072407984
+ .long 240396590
+ .long 3163487443
+ .long 4062661092
+ .long 1072403084
+ .long 1422616006
+ .long 3163255318
+ .long 4076559943
+ .long 1072398198
+ .long 2119478331
+ .long 3160758351
+ .long 703710506
+ .long 1072393326
+ .long 1384660846
+ .long 1015195891
+ .long 2380618042
+ .long 1072388466
+ .long 3149557219
+ .long 3163320799
+ .long 364333489
+ .long 1072383620
+ .long 3923737744
+ .long 3161421373
+ .long 3092190715
+ .long 1072378786
+ .long 814012168
+ .long 3159523422
+ .long 1822067026
+ .long 1072373966
+ .long 1241994956
+ .long 1015340290
+ .long 697153126
+ .long 1072369159
+ .long 1283515429
+ .long 3163283189
+ .long 3861050111
+ .long 1072364364
+ .long 254893773
+ .long 3162813180
+ .long 2572866477
+ .long 1072359583
+ .long 878562433
+ .long 1015521741
+ .long 977020788
+ .long 1072354815
+ .long 3065100517
+ .long 1015541563
+ .long 3218338682
+ .long 1072350059
+ .long 3404164304
+ .long 3162477108
+ .long 557149882
+ .long 1072345317
+ .long 3672720709
+ .long 1014537265
+ .long 1434058175
+ .long 1072340587
+ .long 251133233
+ .long 1015085769
+ .long 1405169241
+ .long 1072335870
+ .long 2998539689
+ .long 3162830951
+ .long 321958744
+ .long 1072331166
+ .long 3401933767
+ .long 1015794558
+ .long 2331271250
+ .long 1072326474
+ .long 812057446
+ .long 1012207446
+ .long 2990417245
+ .long 1072321795
+ .long 3683467745
+ .long 3163369326
+ .long 2152073944
+ .long 1072317129
+ .long 1486860576
+ .long 3163203456
+ .long 3964284211
+ .long 1072312475
+ .long 2111583915
+ .long 1015427164
+ .long 3985553595
+ .long 1072307834
+ .long 4002146062
+ .long 1015834136
+ .long 2069751141
+ .long 1072303206
+ .long 1562170675
+ .long 3162724681
+ .long 2366108318
+ .long 1072298590
+ .long 2867985102
+ .long 3161762254
+ .long 434316067
+ .long 1072293987
+ .long 2028358766
+ .long 1013458122
+ .long 424392917
+ .long 1072289396
+ .long 2749202995
+ .long 3162838718
+ .long 2191782032
+ .long 1072284817
+ .long 2960257726
+ .long 1013742662
+ .long 1297350157
+ .long 1072280251
+ .long 1308022040
+ .long 3163412558
+ .long 1892288442
+ .long 1072275697
+ .long 2446255666
+ .long 3162600381
+ .long 3833209506
+ .long 1072271155
+ .long 2722920684
+ .long 1013754842
+ .long 2682146384
+ .long 1072266626
+ .long 2082178513
+ .long 3163363419
+ .long 2591453363
+ .long 1072262109
+ .long 2132396182
+ .long 3159074198
+ .long 3418903055
+ .long 1072257604
+ .long 2527457337
+ .long 3160820604
+ .long 727685349
+ .long 1072253112
+ .long 2038246809
+ .long 3162358742
+ .long 2966275557
+ .long 1072248631
+ .long 2176155324
+ .long 3159842759
+ .long 1403662306
+ .long 1072244163
+ .long 2788809599
+ .long 3161671007
+ .long 194117574
+ .long 1072239707
+ .long 777528612
+ .long 3163412089
+ .long 3492293770
+ .long 1072235262
+ .long 2248032210
+ .long 1015386826
+ .long 2568320822
+ .long 1072230830
+ .long 2732824428
+ .long 1014352915
+ .long 1577608921
+ .long 1072226410
+ .long 1875489510
+ .long 3162968394
+ .long 380978316
+ .long 1072222002
+ .long 854188970
+ .long 3160462686
+ .long 3134592888
+ .long 1072217605
+ .long 4232266862
+ .long 1015991134
+ .long 1110089947
+ .long 1072213221
+ .long 1451641639
+ .long 1015474673
+ .long 2759350287
+ .long 1072208848
+ .long 1148526634
+ .long 1015894933
+ .long 3649726105
+ .long 1072204487
+ .long 4085036346
+ .long 1015649474
+ .long 3643909174
+ .long 1072200138
+ .long 3537586109
+ .long 1014354647
+ .long 2604962541
+ .long 1072195801
+ .long 2614425274
+ .long 3163539192
+ .long 396319521
+ .long 1072191476
+ .long 4172420816
+ .long 3159074632
+ .long 1176749997
+ .long 1072187162
+ .long 2738998779
+ .long 3162035844
+ .long 515457527
+ .long 1072182860
+ .long 836709333
+ .long 1015651226
+ .long 2571947539
+ .long 1072178569
+ .long 3558159064
+ .long 3163376669
+ .long 2916157145
+ .long 1072174290
+ .long 219487565
+ .long 1015309367
+ .long 1413356050
+ .long 1072170023
+ .long 1651349291
+ .long 3162668166
+ .long 2224145553
+ .long 1072165767
+ .long 3482522030
+ .long 3161489169
+ .long 919555682
+ .long 1072161523
+ .long 3121969534
+ .long 1012948226
+ .long 1660913392
+ .long 1072157290
+ .long 4218599604
+ .long 1015135707
+ .long 19972402
+ .long 1072153069
+ .long 3507899862
+ .long 1016009292
+ .long 158781403
+ .long 1072148859
+ .long 2221464712
+ .long 3163286453
+ .long 1944781191
+ .long 1072144660
+ .long 3993278767
+ .long 3161724279
+ .long 950803702
+ .long 1072140473
+ .long 1655364926
+ .long 1015237032
+ .long 1339972927
+ .long 1072136297
+ .long 167908909
+ .long 1015572152
+ .long 2980802057
+ .long 1072132132
+ .long 378619896
+ .long 1015773303
+ .long 1447192521
+ .long 1072127979
+ .long 1462857171
+ .long 3162514521
+ .long 903334909
+ .long 1072123837
+ .long 1636462108
+ .long 1015039997
+ .long 1218806132
+ .long 1072119706
+ .long 1818613052
+ .long 3162548441
+ .long 2263535754
+ .long 1072115586
+ .long 752233586
+ .long 3162639008
+ .long 3907805044
+ .long 1072111477
+ .long 2257091225
+ .long 3161550407
+ .long 1727278727
+ .long 1072107380
+ .long 3562710623
+ .long 1011471940
+ .long 4182873220
+ .long 1072103293
+ .long 629542646
+ .long 3161996303
+ .long 2555984613
+ .long 1072099218
+ .long 2652555442
+ .long 3162552692
+ .long 1013258799
+ .long 1072095154
+ .long 1748797611
+ .long 3160129082
+ .long 3721688645
+ .long 1072091100
+ .long 3069276937
+ .long 1015839401
+ .long 1963711167
+ .long 1072087058
+ .long 1744767757
+ .long 3160574294
+ .long 4201977662
+ .long 1072083026
+ .long 748330254
+ .long 1013594357
+ .long 1719614413
+ .long 1072079006
+ .long 330458198
+ .long 3163282740
+ .long 2979960120
+ .long 1072074996
+ .long 2599109725
+ .long 1014498493
+ .long 3561793907
+ .long 1072070997
+ .long 1157054053
+ .long 1011890350
+ .long 3339203574
+ .long 1072067009
+ .long 1483497780
+ .long 3162408754
+ .long 2186617381
+ .long 1072063032
+ .long 2270764084
+ .long 3163272713
+ .long 4273770423
+ .long 1072059065
+ .long 3383180809
+ .long 3163218901
+ .long 885834528
+ .long 1072055110
+ .long 1973258547
+ .long 3162261564
+ .long 488188413
+ .long 1072051165
+ .long 3199821029
+ .long 1015564048
+ .long 2956612997
+ .long 1072047230
+ .long 2118169751
+ .long 3162735553
+ .long 3872257780
+ .long 1072043306
+ .long 1253592103
+ .long 1015958334
+ .long 3111574537
+ .long 1072039393
+ .long 2606161479
+ .long 3162759746
+ .long 551349105
+ .long 1072035491
+ .long 3821916050
+ .long 3162106589
+ .long 363667784
+ .long 1072031599
+ .long 813753950
+ .long 1015785209
+ .long 2425981843
+ .long 1072027717
+ .long 2830390851
+ .long 3163346599
+ .long 2321106615
+ .long 1072023846
+ .long 2171176610
+ .long 1009535771
+ .long 4222122499
+ .long 1072019985
+ .long 1277378074
+ .long 3163256737
+ .long 3712504873
+ .long 1072016135
+ .long 88491949
+ .long 1015427660
+ .long 671025100
+ .long 1072012296
+ .long 3832014351
+ .long 3163022030
+ .long 3566716925
+ .long 1072008466
+ .long 1536826856
+ .long 1014142433
+ .long 3689071823
+ .long 1072004647
+ .long 2321004996
+ .long 3162552716
+ .long 917841882
+ .long 1072000839
+ .long 18715565
+ .long 1015659308
+ .long 3723038930
+ .long 1071997040
+ .long 378465264
+ .long 3162569582
+ .long 3395129871
+ .long 1071993252
+ .long 4025345435
+ .long 3162335388
+ .long 4109806887
+ .long 1071989474
+ .long 422403966
+ .long 1014469229
+ .long 1453150082
+ .long 1071985707
+ .long 498154669
+ .long 3161488062
+ .long 3896463087
+ .long 1071981949
+ .long 1139797873
+ .long 3161233805
+ .long 2731501122
+ .long 1071978202
+ .long 1774031855
+ .long 3162470021
+ .long 2135241198
+ .long 1071974465
+ .long 1236747871
+ .long 1013589147
+ .long 1990012071
+ .long 1071970738
+ .long 3529070563
+ .long 3162813193
+ .long 2178460671
+ .long 1071967021
+ .long 777878098
+ .long 3162842493
+ .long 2583551245
+ .long 1071963314
+ .long 3161094195
+ .long 1015606491
+ .long 3088564500
+ .long 1071959617
+ .long 1762311517
+ .long 1015045673
+ .long 3577096743
+ .long 1071955930
+ .long 2951496418
+ .long 1013793687
+ .long 3933059031
+ .long 1071952253
+ .long 2133366768
+ .long 3161531832
+ .long 4040676318
+ .long 1071948586
+ .long 4090609238
+ .long 1015663458
+ .long 3784486610
+ .long 1071944929
+ .long 1581883040
+ .long 3161698953
+ .long 3049340112
+ .long 1071941282
+ .long 3062915824
+ .long 1013170595
+ .long 1720398391
+ .long 1071937645
+ .long 3980678963
+ .long 3163300080
+ .long 3978100823
+ .long 1071934017
+ .long 3513027190
+ .long 1015845963
+ .long 1118294578
+ .long 1071930400
+ .long 2197495694
+ .long 3159909401
+ .long 1617004845
+ .long 1071926792
+ .long 82804944
+ .long 1010342778
+ .long 1065662932
+ .long 1071923194
+ .long 2533670915
+ .long 1014530238
+ .long 3645941911
+ .long 1071919605
+ .long 3814685081
+ .long 3161573341
+ .long 654919306
+ .long 1071916027
+ .long 3232961757
+ .long 3163047469
+ .long 569847338
+ .long 1071912458
+ .long 472945272
+ .long 3159290729
+ .long 3278348324
+ .long 1071908898
+ .long 3069497416
+ .long 1014750712
+ .long 78413852
+ .long 1071905349
+ .long 4183226867
+ .long 3163017251
+ .long 3743175029
+ .long 1071901808
+ .long 2072812490
+ .long 3162175075
+ .long 1276261410
+ .long 1071898278
+ .long 300981948
+ .long 1014684169
+ .long 1156440435
+ .long 1071894757
+ .long 2351451249
+ .long 1013967056
+ .long 3272845541
+ .long 1071891245
+ .long 928852419
+ .long 3163488248
+ .long 3219942644
+ .long 1071887743
+ .long 3798990616
+ .long 1015368806
+ .long 887463927
+ .long 1071884251
+ .long 3596744163
+ .long 3160794166
+ .long 460407023
+ .long 1071880768
+ .long 4237175092
+ .long 3163138469
+ .long 1829099622
+ .long 1071877294
+ .long 1016661181
+ .long 3163461005
+ .long 589198666
+ .long 1071873830
+ .long 2664346172
+ .long 3163157962
+ .long 926591435
+ .long 1071870375
+ .long 3208833762
+ .long 3162913514
+ .long 2732492859
+ .long 1071866929
+ .long 2691479646
+ .long 3162255684
+ .long 1603444721
+ .long 1071863493
+ .long 1548633640
+ .long 3162201326
+ .long 1726216749
+ .long 1071860066
+ .long 2466808228
+ .long 3161676405
+ .long 2992903935
+ .long 1071856648
+ .long 2218154406
+ .long 1015228193
+ .long 1000925746
+ .long 1071853240
+ .long 1018491672
+ .long 3163309544
+ .long 4232894513
+ .long 1071849840
+ .long 2383938684
+ .long 1014668519
+ .long 3991843581
+ .long 1071846450
+ .long 4092853457
+ .long 1014585763
+ .long 171030293
+ .long 1071843070
+ .long 3526460132
+ .long 1014428778
+ .long 1253935211
+ .long 1071839698
+ .long 1395382931
+ .long 3159702613
+ .long 2839424854
+ .long 1071836335
+ .long 1171596163
+ .long 1013041679
+ .long 526652809
+ .long 1071832982
+ .long 4223459736
+ .long 1015879375
+ .long 2799960843
+ .long 1071829637
+ .long 1423655381
+ .long 1015022151
+ .long 964107055
+ .long 1071826302
+ .long 2800439588
+ .long 3162833221
+ .long 3504003472
+ .long 1071822975
+ .long 3594001060
+ .long 3157330652
+ .long 1724976915
+ .long 1071819658
+ .long 420909223
+ .long 3163117379
+ .long 4112506593
+ .long 1071816349
+ .long 2947355221
+ .long 1014371048
+ .long 1972484976
+ .long 1071813050
+ .long 675290301
+ .long 3161640050
+ .long 3790955393
+ .long 1071809759
+ .long 2352942462
+ .long 3163180090
+ .long 874372905
+ .long 1071806478
+ .long 100263788
+ .long 1015940732
+ .long 1709341917
+ .long 1071803205
+ .long 2571168217
+ .long 1014152499
+ .long 1897844341
+ .long 1071799941
+ .long 1254300460
+ .long 1015275938
+ .long 1337108031
+ .long 1071796686
+ .long 3203724452
+ .long 1014677845
+ .long 4219606026
+ .long 1071793439
+ .long 2434574742
+ .long 1014681548
+ .long 1853186616
+ .long 1071790202
+ .long 3066496371
+ .long 1015656574
+ .long 2725843665
+ .long 1071786973
+ .long 1433917087
+ .long 1014838523
+ .long 2440944790
+ .long 1071783753
+ .long 2492769774
+ .long 1014147454
+ .long 897099801
+ .long 1071780542
+ .long 754756297
+ .long 1015241005
+ .long 2288159958
+ .long 1071777339
+ .long 2169144469
+ .long 1014876021
+ .long 2218315341
+ .long 1071774145
+ .long 2694295388
+ .long 3163288868
+ .long 586995997
+ .long 1071770960
+ .long 41662348
+ .long 3162627992
+ .long 1588871207
+ .long 1071767783
+ .long 143439582
+ .long 3162963416
+ .long 828946858
+ .long 1071764615
+ .long 10642492
+ .long 1015939438
+ .long 2502433899
+ .long 1071761455
+ .long 2148595913
+ .long 1015023991
+ .long 2214878420
+ .long 1071758304
+ .long 892270087
+ .long 3163116422
+ .long 4162030108
+ .long 1071755161
+ .long 2763428480
+ .long 1015529349
+ .long 3949972341
+ .long 1071752027
+ .long 2068408548
+ .long 1014913868
+ .long 1480023343
+ .long 1071748902
+ .long 2247196168
+ .long 1015327453
+ .long 948735466
+ .long 1071745785
+ .long 3516338028
+ .long 3162574883
+ .long 2257959872
+ .long 1071742676
+ .long 3802946148
+ .long 1012964927
+ .long 1014845819
+ .long 1071739576
+ .long 3117910646
+ .long 3161559105
+ .long 1416741826
+ .long 1071736484
+ .long 2196380210
+ .long 1011413563
+ .long 3366293073
+ .long 1071733400
+ .long 3119426314
+ .long 1014120554
+ .long 2471440686
+ .long 1071730325
+ .long 968836267
+ .long 3162214888
+ .long 2930322912
+ .long 1071727258
+ .long 2599499422
+ .long 3162714047
+ .long 351405227
+ .long 1071724200
+ .long 3125337328
+ .long 3159822479
+ .long 3228316108
+ .long 1071721149
+ .long 3010241991
+ .long 3158422804
+ .long 2875075254
+ .long 1071718107
+ .long 4144233330
+ .long 3163333716
+ .long 3490863953
+ .long 1071715073
+ .long 960797498
+ .long 3162948880
+ .long 685187902
+ .long 1071712048
+ .long 378731989
+ .long 1014843115
+ .long 2952712987
+ .long 1071709030
+ .long 3293494651
+ .long 3160120301
+ .long 1608493509
+ .long 1071706021
+ .long 3159622171
+ .long 3162807737
+ .long 852742562
+ .long 1071703020
+ .long 667253586
+ .long 1009793559
+ .long 590962156
+ .long 1071700027
+ .long 3829346666
+ .long 3163275597
+ .long 728909815
+ .long 1071697042
+ .long 383930225
+ .long 1015029468
+ .long 1172597893
+ .long 1071694065
+ .long 114433263
+ .long 1015347593
+ .long 1828292879
+ .long 1071691096
+ .long 1255956747
+ .long 1015588398
+ .long 2602514713
+ .long 1071688135
+ .long 2268929336
+ .long 1014354284
+ .long 3402036099
+ .long 1071685182
+ .long 405889334
+ .long 1015105656
+ .long 4133881824
+ .long 1071682237
+ .long 2148155345
+ .long 3162931299
+ .long 410360776
+ .long 1071679301
+ .long 1269990655
+ .long 1011975870
+ .long 728934454
+ .long 1071676372
+ .long 1413842688
+ .long 1014178612
+ .long 702412510
+ .long 1071673451
+ .long 3803266087
+ .long 3162280415
+ .long 238821257
+ .long 1071670538
+ .long 1469694871
+ .long 3162884987
+ .long 3541402996
+ .long 1071667632
+ .long 2759177317
+ .long 1014854626
+ .long 1928746161
+ .long 1071664735
+ .long 983617676
+ .long 1014285177
+ .long 3899555717
+ .long 1071661845
+ .long 427280750
+ .long 3162546972
+ .long 772914124
+ .long 1071658964
+ .long 4004372762
+ .long 1012230161
+ .long 1048019041
+ .long 1071656090
+ .long 1398474845
+ .long 3160510595
+ .long 339411585
+ .long 1071653224
+ .long 264588982
+ .long 3161636657
+ .long 2851812149
+ .long 1071650365
+ .long 2595802551
+ .long 1015767337
+ .long 4200250559
+ .long 1071647514
+ .long 2808127345
+ .long 3161781938
+ .type T2_neg_f,@object
+ .size T2_neg_f,4096
+ .space 512, 0x00 # pad
+ .align 16
+MASK3:
+ .long 0
+ .long 4294967280
+ .long 0
+ .long 4294967280
+ .type MASK3,@object
+ .size MASK3,16
+ .align 16
+RMASK:
+ .long 4294705152
+ .long 4294967295
+ .long 4294705152
+ .long 4294967295
+ .type RMASK,@object
+ .size RMASK,16
+ .align 16
+pv:
+ .long 236289503
+ .long 1064135997
+ .long 463583772
+ .long 3215696314
+ .long 1441186365
+ .long 3212977891
+ .long 286331153
+ .long 1069617425
+ .long 2284589306
+ .long 1066820852
+ .long 1431655765
+ .long 3218429269
+ .type pv,@object
+ .size pv,48
+ .align 4
+HALFMASK:
+ .long 4160749568
+ .long 2147483647
+ .type HALFMASK,@object
+ .size HALFMASK,8
+ .align 4
+ONEMASK:
+ .long 0
+ .long 1072693248
+ .type ONEMASK,@object
+ .size ONEMASK,8
+ .align 4
+TWOMASK:
+ .long 0
+ .long 1073741824
+ .type TWOMASK,@object
+ .size TWOMASK,8
+ .data
+ .section .note.GNU-stack, ""
+// -- Begin DWARF2 SEGMENT .eh_frame
+ .section .eh_frame,"a",@progbits
+.eh_frame_seg:
+ .align 1
+ .4byte 0x00000014
+ .8byte 0x00527a0100000000
+ .8byte 0x08070c1b01107801
+ .4byte 0x00000190
+ .4byte 0x0000001c
+ .4byte 0x0000001c
+ .4byte ..___tag_value_tanh.1-.
+ .4byte ..___tag_value_tanh.5-..___tag_value_tanh.1
+ .2byte 0x0400
+ .4byte ..___tag_value_tanh.3-..___tag_value_tanh.1
+ .2byte 0x100e
+ .byte 0x04
+ .4byte ..___tag_value_tanh.4-..___tag_value_tanh.3
+ .2byte 0x080e
+ .byte 0x00
+# End
diff --git a/libm/x86_64/sqrt.S b/libm/x86_64/sqrt.S
new file mode 100644
index 0000000..ee97026
--- /dev/null
+++ b/libm/x86_64/sqrt.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(sqrt)
+sqrtsd %xmm0,%xmm0
+retq
+END(sqrt)
diff --git a/libm/x86_64/sqrtf.S b/libm/x86_64/sqrtf.S
new file mode 100644
index 0000000..910407f
--- /dev/null
+++ b/libm/x86_64/sqrtf.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(sqrtf)
+sqrtss %xmm0,%xmm0
+retq
+END(sqrtf)
diff --git a/libm/x86_64/trunc.S b/libm/x86_64/trunc.S
new file mode 100644
index 0000000..fe18b40
--- /dev/null
+++ b/libm/x86_64/trunc.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(trunc)
+roundsd $0x3,%xmm0,%xmm0
+retq
+END(trunc)
diff --git a/libm/x86_64/truncf.S b/libm/x86_64/truncf.S
new file mode 100644
index 0000000..eeee1d7
--- /dev/null
+++ b/libm/x86_64/truncf.S
@@ -0,0 +1,36 @@
+/*
+Copyright (c) 2014, Intel Corporation
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+
+ * Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+
+ * Neither the name of Intel Corporation nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
+DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR
+ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
+(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON
+ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+
+#include <private/bionic_asm.h>
+
+ENTRY(truncf)
+roundss $0x3,%xmm0,%xmm0
+retq
+END(truncf)
