mirror of
https://sourceware.org/git/glibc.git
synced 2024-11-22 04:50:07 +00:00
140 lines
3.3 KiB
ArmAsm
140 lines
3.3 KiB
ArmAsm
/* ix87 specific implementation of arcsinh.
|
|
Copyright (C) 1996-2024 Free Software Foundation, Inc.
|
|
This file is part of the GNU C Library.
|
|
|
|
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, see
|
|
<https://www.gnu.org/licenses/>. */
|
|
|
|
#include <machine/asm.h>
|
|
#include <libm-alias-double.h>
|
|
|
|
.section .rodata
|
|
|
|
.align ALIGNARG(4)
|
|
.type huge,@object
|
|
huge: .double 1e+300
|
|
ASM_SIZE_DIRECTIVE(huge)
|
|
.type one,@object
|
|
one: .double 1.0
|
|
ASM_SIZE_DIRECTIVE(one)
|
|
.type 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
|
|
cmpl $0x00100000, %eax
|
|
jae 8f
|
|
subl $8, %esp
|
|
cfi_adjust_cfa_offset (8)
|
|
fld %st(0)
|
|
fmul %st(0)
|
|
fstpl (%esp)
|
|
addl $8, %esp
|
|
cfi_adjust_cfa_offset (-8)
|
|
8: 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)
|
|
libm_alias_double (__asinh, asinh)
|