/*-*- 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