cosmopolitan/libc/tinymath/expm1l.S
2021-03-01 00:18:23 -08:00

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/*-*- mode:unix-assembly; indent-tabs-mode:t; tab-width:8; coding:utf-8 -*-│
vi: set et ft=asm ts=8 tw=8 fenc=utf-8 :vi
Copyright 2020 Justine Alexandra Roberts Tunney
Permission to use, copy, modify, and/or distribute this software for
any purpose with or without fee is hereby granted, provided that the
above copyright notice and this permission notice appear in all copies.
THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL
WARRANTIES WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED
WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE
AUTHOR BE LIABLE FOR ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL
DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR
PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER
TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR
PERFORMANCE OF THIS SOFTWARE.
*/
#include "libc/runtime/pc.internal.h"
#include "libc/macros.internal.h"
// Returns 𝑒^x-1.
//
// @param 𝑥 is an 80-bit long double passed on stack in 16-bytes
// @return result of exponentiation on FPU stack in %st
expm1l: push %rbp
mov %rsp,%rbp
.profilable
fldt 16(%rbp)
fxam # isinf(x)
fstsw %ax
mov %ah,%al
and $0x45,%ah
cmp $5,%ah
je 1f
fldl2e
fmulp %st,%st(1)
fld %st
frndint
fsubr %st,%st(1)
fld1
fxch %st(2)
f2xm1
fscale
fxch %st(2)
fscale
fstp %st(1)
fld1
fsubrp
faddp %st,%st(1)
0: pop %rbp
ret
1: test $2,%al # signbit(x)
jz 0b
fstp %st
fld1
3: fchs
jmp 0b
.endfn expm1l,globl