| .file "tancot.s" |
| |
| |
| // Copyright (c) 2000 - 2003, Intel Corporation |
| // All rights reserved. |
| // |
| // Contributed 2000 by the Intel Numerics Group, Intel Corporation |
| // |
| // 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. |
| // |
| // * The name of Intel Corporation may not 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 INTEL OR ITS |
| // 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. |
| // |
| // Intel Corporation is the author of this code, and requests that all |
| // problem reports or change requests be submitted to it directly at |
| // http://www.intel.com/software/products/opensource/libraries/num.htm. |
| // |
| // History |
| //============================================================== |
| // 02/02/00 Initial version |
| // 04/04/00 Unwind support added |
| // 12/27/00 Improved speed |
| // 02/21/01 Updated to call tanl |
| // 05/30/02 Added cot |
| // 02/10/03 Reordered header: .section, .global, .proc, .align |
| // |
| // API |
| //============================================================== |
| // double tan(double x); |
| // double cot(double x); |
| // |
| // Overview of operation |
| //============================================================== |
| // If the input value in radians is |x| >= 1.xxxxx 2^10 call the |
| // older slower version. |
| // |
| // The new algorithm is used when |x| <= 1.xxxxx 2^9. |
| // |
| // Represent the input X as Nfloat * pi/2 + r |
| // where r can be negative and |r| <= pi/4 |
| // |
| // tan_W = x * 2/pi |
| // Nfloat = round_int(tan_W) |
| // |
| // tan_r = x - Nfloat * (pi/2)_hi |
| // a) tan_r = tan_r - Nfloat * (pi/2)_lo (for tan) |
| // b) tan_r = Nfloat * (pi/2)_lo - tan_r (for cot) |
| // |
| // We have two paths: p8, when Nfloat is even and p9. when Nfloat is odd. |
| // a) for tan: p8: tan(X) = tan(r) |
| // p9: tan(X) = -cot(r) |
| // b) for cot: p9: cot(X) = cot(r) |
| // p8: cot(X) = -tan(r) |
| // |
| // Each is evaluated as a series. The p9 path requires 1/r. |
| // |
| // The coefficients used in the series are stored in a table as |
| // are the pi constants. |
| // |
| // Registers used |
| //============================================================== |
| // |
| // predicate registers used: |
| // p6-12 |
| // |
| // floating-point registers used: |
| // f10-15, f32-106 |
| // f8, input |
| // |
| // general registers used |
| // r14-26, r32-39 |
| // |
| // Assembly macros |
| //============================================================== |
| TAN_INV_PI_BY_2_2TO64 = f10 |
| TAN_RSHF_2TO64 = f11 |
| TAN_2TOM64 = f12 |
| TAN_RSHF = f13 |
| TAN_W_2TO64_RSH = f14 |
| TAN_NFLOAT = f15 |
| |
| tan_Inv_Pi_by_2 = f32 |
| tan_Pi_by_2_hi = f33 |
| tan_Pi_by_2_lo = f34 |
| |
| |
| tan_P0 = f35 |
| tan_P1 = f36 |
| tan_P2 = f37 |
| tan_P3 = f38 |
| tan_P4 = f39 |
| tan_P5 = f40 |
| tan_P6 = f41 |
| tan_P7 = f42 |
| tan_P8 = f43 |
| tan_P9 = f44 |
| tan_P10 = f45 |
| tan_P11 = f46 |
| tan_P12 = f47 |
| tan_P13 = f48 |
| tan_P14 = f49 |
| tan_P15 = f50 |
| |
| tan_Q0 = f51 |
| tan_Q1 = f52 |
| tan_Q2 = f53 |
| tan_Q3 = f54 |
| tan_Q4 = f55 |
| tan_Q5 = f56 |
| tan_Q6 = f57 |
| tan_Q7 = f58 |
| tan_Q8 = f59 |
| tan_Q9 = f60 |
| tan_Q10 = f61 |
| |
| tan_r = f62 |
| tan_rsq = f63 |
| tan_rcube = f64 |
| |
| tan_v18 = f65 |
| tan_v16 = f66 |
| tan_v17 = f67 |
| tan_v12 = f68 |
| tan_v13 = f69 |
| tan_v7 = f70 |
| tan_v8 = f71 |
| tan_v4 = f72 |
| tan_v5 = f73 |
| tan_v15 = f74 |
| tan_v11 = f75 |
| tan_v14 = f76 |
| tan_v3 = f77 |
| tan_v6 = f78 |
| tan_v10 = f79 |
| tan_v2 = f80 |
| tan_v9 = f81 |
| tan_v1 = f82 |
| tan_int_Nfloat = f83 |
| tan_Nfloat = f84 |
| |
| tan_NORM_f8 = f85 |
| tan_W = f86 |
| |
| tan_y0 = f87 |
| tan_d = f88 |
| tan_y1 = f89 |
| tan_dsq = f90 |
| tan_y2 = f91 |
| tan_d4 = f92 |
| tan_inv_r = f93 |
| |
| tan_z1 = f94 |
| tan_z2 = f95 |
| tan_z3 = f96 |
| tan_z4 = f97 |
| tan_z5 = f98 |
| tan_z6 = f99 |
| tan_z7 = f100 |
| tan_z8 = f101 |
| tan_z9 = f102 |
| tan_z10 = f103 |
| tan_z11 = f104 |
| tan_z12 = f105 |
| |
| arg_copy = f106 |
| |
| ///////////////////////////////////////////////////////////// |
| |
| tan_GR_sig_inv_pi_by_2 = r14 |
| tan_GR_rshf_2to64 = r15 |
| tan_GR_exp_2tom64 = r16 |
| tan_GR_n = r17 |
| tan_GR_rshf = r18 |
| tan_AD = r19 |
| tan_GR_10009 = r20 |
| tan_GR_17_ones = r21 |
| tan_GR_N_odd_even = r22 |
| tan_GR_N = r23 |
| tan_signexp = r24 |
| tan_exp = r25 |
| tan_ADQ = r26 |
| |
| GR_SAVE_B0 = r33 |
| GR_SAVE_PFS = r34 |
| GR_SAVE_GP = r35 |
| GR_Parameter_X = r36 |
| GR_Parameter_Y = r37 |
| GR_Parameter_RESULT = r38 |
| GR_Parameter_Tag = r39 |
| |
| |
| RODATA |
| |
| .align 16 |
| |
| LOCAL_OBJECT_START(double_tan_constants) |
| data8 0xC90FDAA22168C234, 0x00003FFF // pi/2 hi |
| data8 0xBEEA54580DDEA0E1 // P14 |
| data8 0x3ED3021ACE749A59 // P15 |
| data8 0xBEF312BD91DC8DA1 // P12 |
| data8 0x3EFAE9AFC14C5119 // P13 |
| data8 0x3F2F342BF411E769 // P8 |
| data8 0x3F1A60FC9F3B0227 // P9 |
| data8 0x3EFF246E78E5E45B // P10 |
| data8 0x3F01D9D2E782875C // P11 |
| data8 0x3F8226E34C4499B6 // P4 |
| data8 0x3F6D6D3F12C236AC // P5 |
| data8 0x3F57DA1146DCFD8B // P6 |
| data8 0x3F43576410FE3D75 // P7 |
| data8 0x3FD5555555555555 // P0 |
| data8 0x3FC11111111111C2 // P1 |
| data8 0x3FABA1BA1BA0E850 // P2 |
| data8 0x3F9664F4886725A7 // P3 |
| LOCAL_OBJECT_END(double_tan_constants) |
| |
| LOCAL_OBJECT_START(double_Q_tan_constants) |
| data8 0xC4C6628B80DC1CD1, 0x00003FBF // pi/2 lo |
| data8 0x3E223A73BA576E48 // Q8 |
| data8 0x3DF54AD8D1F2CA43 // Q9 |
| data8 0x3EF66A8EE529A6AA // Q4 |
| data8 0x3EC2281050410EE6 // Q5 |
| data8 0x3E8D6BB992CC3CF5 // Q6 |
| data8 0x3E57F88DE34832E4 // Q7 |
| data8 0x3FD5555555555555 // Q0 |
| data8 0x3F96C16C16C16DB8 // Q1 |
| data8 0x3F61566ABBFFB489 // Q2 |
| data8 0x3F2BBD77945C1733 // Q3 |
| data8 0x3D927FB33E2B0E04 // Q10 |
| LOCAL_OBJECT_END(double_Q_tan_constants) |
| |
| |
| .section .text |
| |
| //////////////////////////////////////////////////////// |
| |
| LOCAL_LIBM_ENTRY(cot) |
| // The initial fnorm will take any unmasked faults and |
| // normalize any single/double unorms |
| |
| { .mlx |
| cmp.eq p12, p11 = r0, r0 // set p12=1, p11=0 for cot |
| movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi |
| } |
| { .mlx |
| addl tan_AD = @ltoff(double_tan_constants), gp |
| movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1) |
| } |
| ;; |
| |
| { .mlx |
| mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64 |
| movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift |
| } |
| { .mfb |
| ld8 tan_AD = [tan_AD] |
| fnorm.s0 tan_NORM_f8 = f8 |
| br.cond.sptk COMMON_PATH |
| } |
| ;; |
| |
| LOCAL_LIBM_END(cot) |
| |
| |
| GLOBAL_IEEE754_ENTRY(tan) |
| // The initial fnorm will take any unmasked faults and |
| // normalize any single/double unorms |
| |
| { .mlx |
| cmp.eq p11, p12 = r0, r0 // set p11=1, p12=0 for tan |
| movl tan_GR_sig_inv_pi_by_2 = 0xA2F9836E4E44152A // significand of 2/pi |
| } |
| { .mlx |
| addl tan_AD = @ltoff(double_tan_constants), gp |
| movl tan_GR_rshf_2to64 = 0x47e8000000000000 // 1.1000 2^(63+63+1) |
| } |
| ;; |
| |
| { .mlx |
| mov tan_GR_exp_2tom64 = 0xffff-64 // exponent of scaling factor 2^-64 |
| movl tan_GR_rshf = 0x43e8000000000000 // 1.1000 2^63 for right shift |
| } |
| { .mfi |
| ld8 tan_AD = [tan_AD] |
| fnorm.s0 tan_NORM_f8 = f8 |
| nop.i 0 |
| } |
| ;; |
| |
| |
| // Common path for both tan and cot |
| COMMON_PATH: |
| // Form two constants we need |
| // 2/pi * 2^1 * 2^63, scaled by 2^64 since we just loaded the significand |
| // 1.1000...000 * 2^(63+63+1) to right shift int(W) into the significand |
| { .mmi |
| setf.sig TAN_INV_PI_BY_2_2TO64 = tan_GR_sig_inv_pi_by_2 |
| setf.d TAN_RSHF_2TO64 = tan_GR_rshf_2to64 |
| mov tan_GR_17_ones = 0x1ffff ;; |
| } |
| |
| |
| // Form another constant |
| // 2^-64 for scaling Nfloat |
| // 1.1000...000 * 2^63, the right shift constant |
| { .mmf |
| setf.exp TAN_2TOM64 = tan_GR_exp_2tom64 |
| adds tan_ADQ = double_Q_tan_constants - double_tan_constants, tan_AD |
| (p11) fclass.m.unc p6,p0 = f8, 0x07 // Test for x=0 (tan) |
| } |
| ;; |
| |
| |
| // Form another constant |
| // 2^-64 for scaling Nfloat |
| // 1.1000...000 * 2^63, the right shift constant |
| { .mmf |
| setf.d TAN_RSHF = tan_GR_rshf |
| ldfe tan_Pi_by_2_hi = [tan_AD],16 |
| fclass.m.unc p7,p0 = f8, 0x23 // Test for x=inf |
| } |
| ;; |
| |
| { .mfb |
| ldfe tan_Pi_by_2_lo = [tan_ADQ],16 |
| fclass.m.unc p8,p0 = f8, 0xc3 // Test for x=nan |
| (p6) br.ret.spnt b0 ;; // Exit for x=0 (tan only) |
| } |
| |
| { .mfi |
| ldfpd tan_P14,tan_P15 = [tan_AD],16 |
| (p7) frcpa.s0 f8,p9=f0,f0 // Set qnan indef if x=inf |
| mov tan_GR_10009 = 0x10009 |
| } |
| { .mib |
| ldfpd tan_Q8,tan_Q9 = [tan_ADQ],16 |
| nop.i 999 |
| (p7) br.ret.spnt b0 ;; // Exit for x=inf |
| } |
| |
| { .mfi |
| ldfpd tan_P12,tan_P13 = [tan_AD],16 |
| (p12) fclass.m.unc p6,p0 = f8, 0x07 // Test for x=0 (cot) |
| nop.i 999 |
| } |
| { .mfb |
| ldfpd tan_Q4,tan_Q5 = [tan_ADQ],16 |
| (p8) fma.d.s0 f8=f8,f1,f8 // Set qnan if x=nan |
| (p8) br.ret.spnt b0 ;; // Exit for x=nan |
| } |
| |
| { .mmf |
| getf.exp tan_signexp = tan_NORM_f8 |
| ldfpd tan_P8,tan_P9 = [tan_AD],16 |
| fmerge.s arg_copy = f8, f8 ;; // Save input for error call |
| } |
| |
| // Multiply x by scaled 2/pi and add large const to shift integer part of W to |
| // rightmost bits of significand |
| { .mmf |
| alloc r32=ar.pfs,0,4,4,0 |
| ldfpd tan_Q6,tan_Q7 = [tan_ADQ],16 |
| fma.s1 TAN_W_2TO64_RSH = tan_NORM_f8,TAN_INV_PI_BY_2_2TO64,TAN_RSHF_2TO64 |
| };; |
| |
| { .mmf |
| ldfpd tan_P10,tan_P11 = [tan_AD],16 |
| and tan_exp = tan_GR_17_ones, tan_signexp |
| (p6) frcpa.s0 f8, p0 = f1, f8 ;; // cot(+-0) = +-Inf |
| } |
| |
| |
| // p7 is true if we must call DBX TAN |
| // p7 is true if f8 exp is > 0x10009 (which includes all ones |
| // NAN or inf) |
| { .mmb |
| ldfpd tan_Q0,tan_Q1 = [tan_ADQ],16 |
| cmp.ge.unc p7,p0 = tan_exp,tan_GR_10009 |
| (p7) br.cond.spnt TAN_DBX ;; |
| } |
| |
| |
| { .mmb |
| ldfpd tan_P4,tan_P5 = [tan_AD],16 |
| (p6) mov GR_Parameter_Tag = 226 // (cot) |
| (p6) br.cond.spnt __libm_error_region ;; // call error support if cot(+-0) |
| } |
| |
| |
| { .mmi |
| ldfpd tan_Q2,tan_Q3 = [tan_ADQ],16 |
| nop.m 999 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| // TAN_NFLOAT = Round_Int_Nearest(tan_W) |
| { .mfi |
| ldfpd tan_P6,tan_P7 = [tan_AD],16 |
| fms.s1 TAN_NFLOAT = TAN_W_2TO64_RSH,TAN_2TOM64,TAN_RSHF |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| ldfd tan_Q10 = [tan_ADQ] |
| nop.f 999 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| ldfpd tan_P0,tan_P1 = [tan_AD],16 |
| nop.f 999 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mmi |
| getf.sig tan_GR_n = TAN_W_2TO64_RSH |
| ldfpd tan_P2,tan_P3 = [tan_AD] |
| nop.i 999 ;; |
| } |
| |
| // tan_r = -tan_Nfloat * tan_Pi_by_2_hi + x |
| { .mfi |
| (p12) add tan_GR_n = 0x1, tan_GR_n // N = N + 1 (for cot) |
| fnma.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_hi, tan_NORM_f8 |
| nop.i 999 ;; |
| } |
| |
| |
| // p8 ==> even |
| // p9 ==> odd |
| { .mmi |
| and tan_GR_N_odd_even = 0x1, tan_GR_n ;; |
| nop.m 999 |
| cmp.eq.unc p8,p9 = tan_GR_N_odd_even, r0 ;; |
| } |
| |
| |
| .pred.rel "mutex", p11, p12 |
| // tan_r = tan_r -tan_Nfloat * tan_Pi_by_2_lo (tan) |
| { .mfi |
| nop.m 999 |
| (p11) fnma.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_lo, tan_r |
| nop.i 999 |
| } |
| // tan_r = -(tan_r -tan_Nfloat * tan_Pi_by_2_lo) (cot) |
| { .mfi |
| nop.m 999 |
| (p12) fms.s1 tan_r = TAN_NFLOAT, tan_Pi_by_2_lo, tan_r |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| fma.s1 tan_rsq = tan_r, tan_r, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) frcpa.s1 tan_y0, p0 = f1,tan_r |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v18 = tan_rsq, tan_P15, tan_P14 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v4 = tan_rsq, tan_P1, tan_P0 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v16 = tan_rsq, tan_P13, tan_P12 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v17 = tan_rsq, tan_rsq, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v12 = tan_rsq, tan_P9, tan_P8 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v13 = tan_rsq, tan_P11, tan_P10 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v7 = tan_rsq, tan_P5, tan_P4 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v8 = tan_rsq, tan_P7, tan_P6 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fnma.s1 tan_d = tan_r, tan_y0, f1 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v5 = tan_rsq, tan_P3, tan_P2 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z11 = tan_rsq, tan_Q9, tan_Q8 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z12 = tan_rsq, tan_rsq, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v15 = tan_v17, tan_v18, tan_v16 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z7 = tan_rsq, tan_Q5, tan_Q4 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v11 = tan_v17, tan_v13, tan_v12 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z8 = tan_rsq, tan_Q7, tan_Q6 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v14 = tan_v17, tan_v17, f0 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z3 = tan_rsq, tan_Q1, tan_Q0 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v3 = tan_v17, tan_v5, tan_v4 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v6 = tan_v17, tan_v8, tan_v7 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_y1 = tan_y0, tan_d, tan_y0 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_dsq = tan_d, tan_d, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z10 = tan_z12, tan_Q10, tan_z11 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z9 = tan_z12, tan_z12,f0 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z4 = tan_rsq, tan_Q3, tan_Q2 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z6 = tan_z12, tan_z8, tan_z7 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v10 = tan_v14, tan_v15, tan_v11 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_y2 = tan_y1, tan_d, tan_y0 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_d4 = tan_dsq, tan_dsq, tan_d |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v2 = tan_v14, tan_v6, tan_v3 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v9 = tan_v14, tan_v14, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z2 = tan_z12, tan_z4, tan_z3 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z5 = tan_z9, tan_z10, tan_z6 |
| nop.i 999 ;; |
| } |
| |
| |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_inv_r = tan_d4, tan_y2, tan_y0 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_rcube = tan_rsq, tan_r, f0 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.s1 tan_v1 = tan_v9, tan_v10, tan_v2 |
| nop.i 999 |
| } |
| { .mfi |
| nop.m 999 |
| (p9) fma.s1 tan_z1 = tan_z9, tan_z5, tan_z2 |
| nop.i 999 ;; |
| } |
| |
| |
| |
| { .mfi |
| nop.m 999 |
| (p8) fma.d.s0 f8 = tan_v1, tan_rcube, tan_r |
| nop.i 999 |
| } |
| { .mfb |
| nop.m 999 |
| (p9) fms.d.s0 f8 = tan_r, tan_z1, tan_inv_r |
| br.ret.sptk b0 ;; |
| } |
| GLOBAL_IEEE754_END(tan) |
| |
| |
| LOCAL_LIBM_ENTRY(__libm_callout) |
| TAN_DBX: |
| .prologue |
| |
| { .mfi |
| nop.m 0 |
| fmerge.s f9 = f0,f0 |
| .save ar.pfs,GR_SAVE_PFS |
| mov GR_SAVE_PFS=ar.pfs |
| } |
| ;; |
| |
| { .mfi |
| mov GR_SAVE_GP=gp |
| nop.f 0 |
| .save b0, GR_SAVE_B0 |
| mov GR_SAVE_B0=b0 |
| } |
| |
| .body |
| { .mmb |
| nop.m 999 |
| nop.m 999 |
| (p11) br.cond.sptk.many call_tanl ;; |
| } |
| |
| // Here if we should call cotl |
| { .mmb |
| nop.m 999 |
| nop.m 999 |
| br.call.sptk.many b0=__libm_cotl# ;; |
| } |
| |
| { .mfi |
| mov gp = GR_SAVE_GP |
| fnorm.d.s0 f8 = f8 |
| mov b0 = GR_SAVE_B0 |
| } |
| ;; |
| |
| { .mib |
| nop.m 999 |
| mov ar.pfs = GR_SAVE_PFS |
| br.ret.sptk b0 |
| ;; |
| } |
| |
| // Here if we should call tanl |
| call_tanl: |
| { .mmb |
| nop.m 999 |
| nop.m 999 |
| br.call.sptk.many b0=__libm_tanl# ;; |
| } |
| |
| { .mfi |
| mov gp = GR_SAVE_GP |
| fnorm.d.s0 f8 = f8 |
| mov b0 = GR_SAVE_B0 |
| } |
| ;; |
| |
| { .mib |
| nop.m 999 |
| mov ar.pfs = GR_SAVE_PFS |
| br.ret.sptk b0 |
| ;; |
| } |
| |
| LOCAL_LIBM_END(__libm_callout) |
| |
| .type __libm_tanl#,@function |
| .global __libm_tanl# |
| .type __libm_cotl#,@function |
| .global __libm_cotl# |
| |
| LOCAL_LIBM_ENTRY(__libm_error_region) |
| .prologue |
| |
| // (1) |
| { .mfi |
| add GR_Parameter_Y=-32,sp // Parameter 2 value |
| nop.f 0 |
| .save ar.pfs,GR_SAVE_PFS |
| mov GR_SAVE_PFS=ar.pfs // Save ar.pfs |
| } |
| { .mfi |
| .fframe 64 |
| add sp=-64,sp // Create new stack |
| nop.f 0 |
| mov GR_SAVE_GP=gp // Save gp |
| };; |
| |
| // (2) |
| { .mmi |
| stfd [GR_Parameter_Y] = f1,16 // STORE Parameter 2 on stack |
| add GR_Parameter_X = 16,sp // Parameter 1 address |
| .save b0, GR_SAVE_B0 |
| mov GR_SAVE_B0=b0 // Save b0 |
| };; |
| |
| .body |
| // (3) |
| { .mib |
| stfd [GR_Parameter_X] = arg_copy // STORE Parameter 1 on stack |
| add GR_Parameter_RESULT = 0,GR_Parameter_Y // Parameter 3 address |
| nop.b 0 |
| } |
| { .mib |
| stfd [GR_Parameter_Y] = f8 // STORE Parameter 3 on stack |
| add GR_Parameter_Y = -16,GR_Parameter_Y |
| br.call.sptk b0=__libm_error_support# // Call error handling function |
| };; |
| { .mmi |
| nop.m 0 |
| nop.m 0 |
| add GR_Parameter_RESULT = 48,sp |
| };; |
| |
| // (4) |
| { .mmi |
| ldfd f8 = [GR_Parameter_RESULT] // Get return result off stack |
| .restore sp |
| add sp = 64,sp // Restore stack pointer |
| mov b0 = GR_SAVE_B0 // Restore return address |
| };; |
| { .mib |
| mov gp = GR_SAVE_GP // Restore gp |
| mov ar.pfs = GR_SAVE_PFS // Restore ar.pfs |
| br.ret.sptk b0 // Return |
| };; |
| |
| LOCAL_LIBM_END(__libm_error_region) |
| |
| .type __libm_error_support#,@function |
| .global __libm_error_support# |
| |
