| /* ix87 specific implementation of arcsinh. |
| Copyright (C) 1996, 1997, 2005 Free Software Foundation, Inc. |
| This file is part of the GNU C Library. |
| Contributed by Ulrich Drepper <drepper@cygnus.com>, 1996. |
| |
| The GNU C Library is free software; you can redistribute it and/or |
| modify it under the terms of the GNU Lesser General Public |
| License as published by the Free Software Foundation; either |
| version 2.1 of the License, or (at your option) any later version. |
| |
| The GNU C Library is distributed in the hope that it will be useful, |
| but WITHOUT ANY WARRANTY; without even the implied warranty of |
| MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
| Lesser General Public License for more details. |
| |
| You should have received a copy of the GNU Lesser General Public |
| License along with the GNU C Library; if not, write to the Free |
| Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA |
| 02111-1307 USA. */ |
| |
| #include <machine/asm.h> |
| |
| #ifdef __ELF__ |
| .section .rodata |
| #else |
| .text |
| #endif |
| |
| .align ALIGNARG(4) |
| ASM_TYPE_DIRECTIVE(huge,@object) |
| huge: .double 1e+300 |
| ASM_SIZE_DIRECTIVE(huge) |
| ASM_TYPE_DIRECTIVE(one,@object) |
| one: .double 1.0 |
| ASM_SIZE_DIRECTIVE(one) |
| ASM_TYPE_DIRECTIVE(limit,@object) |
| limit: .double 0.29 |
| ASM_SIZE_DIRECTIVE(limit) |
| |
| #ifdef PIC |
| #define MO(op) op##@GOTOFF(%edx) |
| #else |
| #define MO(op) op |
| #endif |
| |
| .text |
| ENTRY(__asinh) |
| movl 8(%esp), %ecx |
| movl $0x7fffffff, %eax |
| andl %ecx, %eax |
| andl $0x80000000, %ecx |
| movl %eax, %edx |
| orl $0x800fffff, %edx |
| incl %edx |
| jz 7f // x in ±Inf or NaN |
| xorl %ecx, 8(%esp) |
| fldl 4(%esp) // |x| |
| cmpl $0x3e300000, %eax |
| jb 2f // |x| < 2^-28 |
| fldln2 // log(2) : |x| |
| cmpl $0x41b00000, %eax |
| fxch // |x| : log(2) |
| ja 3f // |x| > 2^28 |
| #ifdef PIC |
| LOAD_PIC_REG (dx) |
| #endif |
| cmpl $0x40000000, %eax |
| ja 5f // |x| > 2 |
| |
| // 2^-28 <= |x| <= 2 => y = sign(x)*log1p(|x|+|x|^2/(1+sqrt(1+|x|^2))) |
| fld %st // |x| : |x| : log(2) |
| fmul %st(1) // |x|^2 : |x| : log(2) |
| fld %st // |x|^2 : |x|^2 : |x| : log(2) |
| faddl MO(one) // 1+|x|^2 : |x|^2 : |x| : log(2) |
| fsqrt // sqrt(1+|x|^2) : |x|^2 : |x| : log(2) |
| faddl MO(one) // 1+sqrt(1+|x|^2) : |x|^2 : |x| : log(2) |
| fdivrp // |x|^2/(1+sqrt(1+|x|^2)) : |x| : log(2) |
| faddp // |x|+|x|^2/(1+sqrt(1+|x|^2)) : log(2) |
| fcoml MO(limit) |
| fnstsw |
| sahf |
| ja 6f |
| fyl2xp1 |
| jecxz 4f |
| fchs |
| 4: ret |
| |
| 7: fldl 4(%esp) |
| ret |
| |
| 6: faddl MO(one) |
| fyl2x |
| jecxz 4f |
| fchs |
| 4: ret |
| |
| // |x| < 2^-28 => y = x (inexact iff |x| != 0.0) |
| .align ALIGNARG(4) |
| 2: |
| #ifdef PIC |
| LOAD_PIC_REG (dx) |
| #endif |
| jecxz 4f |
| fchs // x |
| 4: fld %st // x : x |
| faddl MO(huge) // huge+x : x |
| fstp %st(0) // x |
| ret |
| |
| // |x| > 2^28 => y = sign(x) * (log(|x|) + log(2)) |
| .align ALIGNARG(4) |
| 3: fyl2x // log(|x|) |
| fldln2 // log(2) : log(|x|) |
| faddp // log(|x|)+log(2) |
| jecxz 4f |
| fchs |
| 4: ret |
| |
| // |x| > 2 => y = sign(x) * log(2*|x| + 1/(|x|+sqrt(x*x+1))) |
| .align ALIGNARG(4) |
| 5: fld %st // |x| : |x| : log(2) |
| fadd %st, %st(1) // |x| : 2*|x| : log(2) |
| fld %st // |x| : |x| : 2*|x| : log(2) |
| fmul %st(1) // |x|^2 : |x| : 2*|x| : log(2) |
| faddl MO(one) // 1+|x|^2 : |x| : 2*|x| : log(2) |
| fsqrt // sqrt(1+|x|^2) : |x| : 2*|x| : log(2) |
| faddp // |x|+sqrt(1+|x|^2) : 2*|x| : log(2) |
| fdivrl MO(one) // 1/(|x|+sqrt(1+|x|^2)) : 2*|x| : log(2) |
| faddp // 2*|x|+1/(|x|+sqrt(1+|x|^2)) : log(2) |
| fyl2x // log(2*|x|+1/(|x|+sqrt(1+|x|^2))) |
| jecxz 4f |
| fchs |
| 4: ret |
| END(__asinh) |
| weak_alias (__asinh, asinh) |
