mirror of
https://github.com/jart/cosmopolitan.git
synced 2024-05-18 03:22:40 +00:00
592f6ebc20
- Write some more unit tests - memcpy() on ARM is now faster - Address the Musl complex math FIXME comments - Some libm funcs like pow() now support setting errno - Import the latest and greatest math functions from ARM - Use more accurate atan2f() and log1pf() implementations - atoi() and atol() will no longer saturate or clobber errno
121 lines
5.6 KiB
C
121 lines
5.6 KiB
C
/*-*- mode:c;indent-tabs-mode:t;c-basic-offset:8;tab-width:8;coding:utf-8 -*-│
|
||
│ vi: set noet ft=c ts=8 sw=8 fenc=utf-8 :vi │
|
||
╚──────────────────────────────────────────────────────────────────────────────╝
|
||
│ │
|
||
│ FreeBSD lib/msun/src/s_asinhl.c │
|
||
│ Converted to ldbl by David Schultz <das@FreeBSD.ORG> and Bruce D. Evans. │
|
||
│ │
|
||
│ Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. │
|
||
│ │
|
||
│ Developed at SunPro, a Sun Microsystems, Inc. business. │
|
||
│ Permission to use, copy, modify, and distribute this │
|
||
│ software is freely granted, provided that this notice │
|
||
│ is preserved. │
|
||
│ │
|
||
│ Copyright (c) 1992-2023 The FreeBSD Project. │
|
||
│ │
|
||
│ Redistribution and use in source and binary forms, with or without │
|
||
│ modification, are permitted provided that the following conditions │
|
||
│ are met: │
|
||
│ 1. Redistributions of source code must retain the above copyright │
|
||
│ notice, this list of conditions and the following disclaimer. │
|
||
│ 2. Redistributions in binary form must reproduce the above copyright │
|
||
│ notice, this list of conditions and the following disclaimer in the │
|
||
│ documentation and/or other materials provided with the distribution. │
|
||
│ │
|
||
│ THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND │
|
||
│ ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE │
|
||
│ IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE │
|
||
│ ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE │
|
||
│ FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL │
|
||
│ DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS │
|
||
│ OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) │
|
||
│ HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT │
|
||
│ LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY │
|
||
│ OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF │
|
||
│ SUCH DAMAGE. │
|
||
│ │
|
||
╚─────────────────────────────────────────────────────────────────────────────*/
|
||
#include "libc/tinymath/freebsd.internal.h"
|
||
__static_yoink("freebsd_libm_notice");
|
||
__static_yoink("fdlibm_notice");
|
||
|
||
static volatile float
|
||
tiny = 1.0e-30;
|
||
static const float
|
||
zero = 0.0,
|
||
pi_o_4 = 7.8539818525e-01, /* 0x3f490fdb */
|
||
pi_o_2 = 1.5707963705e+00, /* 0x3fc90fdb */
|
||
pi = 3.1415927410e+00; /* 0x40490fdb */
|
||
static volatile float
|
||
pi_lo = -8.7422776573e-08; /* 0xb3bbbd2e */
|
||
|
||
/**
|
||
* Returns arc tangent of 𝑦/𝑥.
|
||
*/
|
||
float
|
||
atan2f(float y, float x)
|
||
{
|
||
float z;
|
||
int32_t k,m,hx,hy,ix,iy;
|
||
|
||
GET_FLOAT_WORD(hx,x);
|
||
ix = hx&0x7fffffff;
|
||
GET_FLOAT_WORD(hy,y);
|
||
iy = hy&0x7fffffff;
|
||
if((ix>0x7f800000)||
|
||
(iy>0x7f800000)) /* x or y is NaN */
|
||
return nan_mix(x, y);
|
||
if(hx==0x3f800000) return atanf(y); /* x=1.0 */
|
||
m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
|
||
|
||
/* when y = 0 */
|
||
if(iy==0) {
|
||
switch(m) {
|
||
case 0:
|
||
case 1: return y; /* atan(+-0,+anything)=+-0 */
|
||
case 2: return pi+tiny;/* atan(+0,-anything) = pi */
|
||
case 3: return -pi-tiny;/* atan(-0,-anything) =-pi */
|
||
}
|
||
}
|
||
/* when x = 0 */
|
||
if(ix==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
|
||
|
||
/* when x is INF */
|
||
if(ix==0x7f800000) {
|
||
if(iy==0x7f800000) {
|
||
switch(m) {
|
||
case 0: return pi_o_4+tiny;/* atan(+INF,+INF) */
|
||
case 1: return -pi_o_4-tiny;/* atan(-INF,+INF) */
|
||
case 2: return (float)3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
|
||
case 3: return (float)-3.0*pi_o_4-tiny;/*atan(-INF,-INF)*/
|
||
}
|
||
} else {
|
||
switch(m) {
|
||
case 0: return zero ; /* atan(+...,+INF) */
|
||
case 1: return -zero ; /* atan(-...,+INF) */
|
||
case 2: return pi+tiny ; /* atan(+...,-INF) */
|
||
case 3: return -pi-tiny ; /* atan(-...,-INF) */
|
||
}
|
||
}
|
||
}
|
||
/* when y is INF */
|
||
if(iy==0x7f800000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
|
||
|
||
/* compute y/x */
|
||
k = (iy-ix)>>23;
|
||
if(k > 26) { /* |y/x| > 2**26 */
|
||
z=pi_o_2+(float)0.5*pi_lo;
|
||
m&=1;
|
||
}
|
||
else if(k<-26&&hx<0) z=0.0; /* 0 > |y|/x > -2**-26 */
|
||
else z=atanf(fabsf(y/x)); /* safe to do y/x */
|
||
switch (m) {
|
||
case 0: return z ; /* atan(+,+) */
|
||
case 1: return -z ; /* atan(-,+) */
|
||
case 2: return pi-(z-pi_lo);/* atan(+,-) */
|
||
default: /* case 3 */
|
||
return (z-pi_lo)-pi;/* atan(-,-) */
|
||
}
|
||
}
|