cosmopolitan/libc/tinymath/atanl.S

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/*-*- mode:unix-assembly; indent-tabs-mode:t; tab-width:8; coding:utf-8 -*-│
vi: set et ft=asm ts=8 sw=8 fenc=utf-8 :vi
Copyright 2020 Justine Alexandra Roberts Tunney
This program is free software; you can redistribute it and/or modify │
it under the terms of the GNU General Public License as published by
the Free Software Foundation; version 2 of the License. │
This program 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
General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software │
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
02110-1301 USA
*/
#include "libc/macros.h"
.source __FILE__
/ Returns arc tangent of 𝑥.
/
/ @param 𝑥 is an 80-bit long double passed on stack in 16-bytes
/ @return result of computation on FPU stack in %st
/ @define atan(𝑥) = Σₙ₌₀₋∞ 2²ⁿ(𝑛!)²/(𝟸𝑛+𝟷)!(𝑥²ⁿ⁺¹/(𝑥²+𝟷)ⁿ⁺¹)
/ 1 3 1 5 1 7 1 9 1 11
/ @define atan(𝑥) = 𝑥 - - 𝑥 + - 𝑥 - - 𝑥 + - 𝑥 - -- 𝑥 ...
/ 3 5 7 9 11
tinymath_atanl:
push %rbp
mov %rsp,%rbp
.profilable
fldt 16(%rbp)
fld1
fpatan
pop %rbp
ret
.endfn tinymath_atanl,globl
.alias tinymath_atanl,atanl