diff options
Diffstat (limited to 'sysdeps/i386/fpu/s_asinh.S')
| -rw-r--r-- | sysdeps/i386/fpu/s_asinh.S | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/sysdeps/i386/fpu/s_asinh.S b/sysdeps/i386/fpu/s_asinh.S new file mode 100644 index 0000000000..a4c52cb67c --- /dev/null +++ b/sysdeps/i386/fpu/s_asinh.S @@ -0,0 +1,139 @@ +/* ix87 specific implementation of arcsinh. + Copyright (C) 1996, 1997 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 Library General Public License as + published by the Free Software Foundation; either version 2 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 + Library General Public License for more details. + + You should have received a copy of the GNU Library General Public + License along with the GNU C Library; see the file COPYING.LIB. 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 ħInf 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 + call 1f +1: popl %edx + addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx +#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 + call 1f +1: popl %edx + addl $_GLOBAL_OFFSET_TABLE_+[.-1b], %edx +#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) |