You've already forked godot
mirror of
https://github.com/godotengine/godot.git
synced 2025-11-04 12:00:25 +00:00
0b3496fb4f
Made possible by EIREXE, xsellier and the SDL team. This commit includes statically linked SDL3 for Windows, Linux and macOS. The vendored copy of SDL3 was setup to only build the required subsystems for gamepad/joystick support, with some patches to be able to make it as minimal as possible and reduce the impact on binary size and code size. Co-authored-by: Álex Román Núñez <eirexe123@gmail.com> Co-authored-by: Xavier Sellier <xsellier@gmail.com> Co-authored-by: Rémi Verschelde <rverschelde@gmail.com>
136 lines
4.0 KiB
C
136 lines
4.0 KiB
C
#include "SDL_internal.h"
|
|
/*
|
|
* ====================================================
|
|
* 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.
|
|
* ====================================================
|
|
*/
|
|
|
|
/* __ieee754_atan2(y,x)
|
|
* Method :
|
|
* 1. Reduce y to positive by atan2(y,x)=-atan2(-y,x).
|
|
* 2. Reduce x to positive by (if x and y are unexceptional):
|
|
* ARG (x+iy) = arctan(y/x) ... if x > 0,
|
|
* ARG (x+iy) = pi - arctan[y/(-x)] ... if x < 0,
|
|
*
|
|
* Special cases:
|
|
*
|
|
* ATAN2((anything), NaN ) is NaN;
|
|
* ATAN2(NAN , (anything) ) is NaN;
|
|
* ATAN2(+-0, +(anything but NaN)) is +-0 ;
|
|
* ATAN2(+-0, -(anything but NaN)) is +-pi ;
|
|
* ATAN2(+-(anything but 0 and NaN), 0) is +-pi/2;
|
|
* ATAN2(+-(anything but INF and NaN), +INF) is +-0 ;
|
|
* ATAN2(+-(anything but INF and NaN), -INF) is +-pi;
|
|
* ATAN2(+-INF,+INF ) is +-pi/4 ;
|
|
* ATAN2(+-INF,-INF ) is +-3pi/4;
|
|
* ATAN2(+-INF, (anything but,0,NaN, and INF)) is +-pi/2;
|
|
*
|
|
* Constants:
|
|
* The hexadecimal values are the intended ones for the following
|
|
* constants. The decimal values may be used, provided that the
|
|
* compiler will convert from decimal to binary accurately enough
|
|
* to produce the hexadecimal values shown.
|
|
*/
|
|
|
|
#include "math_libm.h"
|
|
#include "math_private.h"
|
|
|
|
static const double
|
|
tiny = 1.0e-300,
|
|
zero = 0.0,
|
|
pi_o_4 = 7.8539816339744827900E-01, /* 0x3FE921FB, 0x54442D18 */
|
|
pi_o_2 = 1.5707963267948965580E+00, /* 0x3FF921FB, 0x54442D18 */
|
|
pi = 3.1415926535897931160E+00, /* 0x400921FB, 0x54442D18 */
|
|
pi_lo = 1.2246467991473531772E-16; /* 0x3CA1A626, 0x33145C07 */
|
|
|
|
double attribute_hidden __ieee754_atan2(double y, double x)
|
|
{
|
|
double z;
|
|
int32_t k,m,hx,hy,ix,iy;
|
|
u_int32_t lx,ly;
|
|
|
|
EXTRACT_WORDS(hx,lx,x);
|
|
ix = hx&0x7fffffff;
|
|
EXTRACT_WORDS(hy,ly,y);
|
|
iy = hy&0x7fffffff;
|
|
if(((ix|((lx|-(int32_t)lx)>>31))>0x7ff00000)||
|
|
((iy|((ly|-(int32_t)ly)>>31))>0x7ff00000)) /* x or y is NaN */
|
|
return x+y;
|
|
if(((hx-0x3ff00000)|lx)==0) return atan(y); /* x=1.0 */
|
|
m = ((hy>>31)&1)|((hx>>30)&2); /* 2*sign(x)+sign(y) */
|
|
|
|
/* when y = 0 */
|
|
if((iy|ly)==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|lx)==0) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
|
|
|
|
/* when x is INF */
|
|
if(ix==0x7ff00000) {
|
|
if(iy==0x7ff00000) {
|
|
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 3.0*pi_o_4+tiny;/*atan(+INF,-INF)*/
|
|
case 3: return -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==0x7ff00000) return (hy<0)? -pi_o_2-tiny: pi_o_2+tiny;
|
|
|
|
/* compute y/x */
|
|
k = (iy-ix)>>20;
|
|
if(k > 60) z=pi_o_2+0.5*pi_lo; /* |y/x| > 2**60 */
|
|
else if(hx<0&&k<-60) z=0.0; /* |y|/x < -2**60 */
|
|
else z=atan(fabs(y/x)); /* safe to do y/x */
|
|
switch (m) {
|
|
case 0: return z ; /* atan(+,+) */
|
|
case 1: {
|
|
u_int32_t zh;
|
|
GET_HIGH_WORD(zh,z);
|
|
SET_HIGH_WORD(z,zh ^ 0x80000000);
|
|
}
|
|
return z ; /* atan(-,+) */
|
|
case 2: return pi-(z-pi_lo);/* atan(+,-) */
|
|
default: /* case 3 */
|
|
return (z-pi_lo)-pi;/* atan(-,-) */
|
|
}
|
|
}
|
|
|
|
/*
|
|
* wrapper atan2(y,x)
|
|
*/
|
|
#ifndef _IEEE_LIBM
|
|
double atan2(double y, double x)
|
|
{
|
|
double z = __ieee754_atan2(y, x);
|
|
if (_LIB_VERSION == _IEEE_ || isnan(x) || isnan(y))
|
|
return z;
|
|
if (x == 0.0 && y == 0.0)
|
|
return __kernel_standard(y,x,3); /* atan2(+-0,+-0) */
|
|
return z;
|
|
}
|
|
#else
|
|
strong_alias(__ieee754_atan2, atan2)
|
|
#endif
|
|
libm_hidden_def(atan2)
|