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Add support for SDL3 joystick input driver
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>
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committed by
Rémi Verschelde
parent
987832be46
commit
0b3496fb4f
119
thirdparty/sdl/libm/k_tan.c
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119
thirdparty/sdl/libm/k_tan.c
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#include "SDL_internal.h"
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/*
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* ====================================================
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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*
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* Developed at SunPro, a Sun Microsystems, Inc. business.
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* Permission to use, copy, modify, and distribute this
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* software is freely granted, provided that this notice
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* is preserved.
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* ====================================================
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*/
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/* __kernel_tan( x, y, k )
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* kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854
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* Input x is assumed to be bounded by ~pi/4 in magnitude.
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* Input y is the tail of x.
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* Input k indicates whether tan (if k=1) or
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* -1/tan (if k= -1) is returned.
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*
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* Algorithm
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* 1. Since tan(-x) = -tan(x), we need only to consider positive x.
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* 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0.
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* 3. tan(x) is approximated by a odd polynomial of degree 27 on
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* [0,0.67434]
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* 3 27
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* tan(x) ~ x + T1*x + ... + T13*x
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* where
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*
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* |tan(x) 2 4 26 | -59.2
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* |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
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* | x |
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*
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* Note: tan(x+y) = tan(x) + tan'(x)*y
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* ~ tan(x) + (1+x*x)*y
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* Therefore, for better accuracy in computing tan(x+y), let
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* 3 2 2 2 2
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* r = x *(T2+x *(T3+x *(...+x *(T12+x *T13))))
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* then
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* 3 2
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* tan(x+y) = x + (T1*x + (x *(r+y)+y))
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*
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* 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
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* tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
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* = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
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*/
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#include "math_libm.h"
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#include "math_private.h"
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static const double
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one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
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pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
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pio4lo= 3.06161699786838301793e-17, /* 0x3C81A626, 0x33145C07 */
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T[] = {
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3.33333333333334091986e-01, /* 0x3FD55555, 0x55555563 */
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1.33333333333201242699e-01, /* 0x3FC11111, 0x1110FE7A */
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5.39682539762260521377e-02, /* 0x3FABA1BA, 0x1BB341FE */
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2.18694882948595424599e-02, /* 0x3F9664F4, 0x8406D637 */
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8.86323982359930005737e-03, /* 0x3F8226E3, 0xE96E8493 */
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3.59207910759131235356e-03, /* 0x3F6D6D22, 0xC9560328 */
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1.45620945432529025516e-03, /* 0x3F57DBC8, 0xFEE08315 */
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5.88041240820264096874e-04, /* 0x3F4344D8, 0xF2F26501 */
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2.46463134818469906812e-04, /* 0x3F3026F7, 0x1A8D1068 */
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7.81794442939557092300e-05, /* 0x3F147E88, 0xA03792A6 */
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7.14072491382608190305e-05, /* 0x3F12B80F, 0x32F0A7E9 */
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-1.85586374855275456654e-05, /* 0xBEF375CB, 0xDB605373 */
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2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */
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};
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double attribute_hidden __kernel_tan(double x, double y, int iy)
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{
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double z,r,v,w,s;
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int32_t ix,hx;
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GET_HIGH_WORD(hx,x);
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ix = hx&0x7fffffff; /* high word of |x| */
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if(ix<0x3e300000) /* x < 2**-28 */
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{if((int)x==0) { /* generate inexact */
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u_int32_t low;
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GET_LOW_WORD(low,x);
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if(((ix|low)|(iy+1))==0) return one/fabs(x);
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else return (iy==1)? x: -one/x;
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}
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}
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if(ix>=0x3FE59428) { /* |x|>=0.6744 */
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if(hx<0) {x = -x; y = -y;}
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z = pio4-x;
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w = pio4lo-y;
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x = z+w; y = 0.0;
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}
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z = x*x;
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w = z*z;
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/* Break x^5*(T[1]+x^2*T[2]+...) into
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* x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
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* x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
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*/
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r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
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v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
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s = z*x;
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r = y + z*(s*(r+v)+y);
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r += T[0]*s;
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w = x+r;
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if(ix>=0x3FE59428) {
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v = (double)iy;
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return (double)(1-((hx>>30)&2))*(v-2.0*(x-(w*w/(w+v)-r)));
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}
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if(iy==1) return w;
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else { /* if allow error up to 2 ulp,
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simply return -1.0/(x+r) here */
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/* compute -1.0/(x+r) accurately */
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double a,t;
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z = w;
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SET_LOW_WORD(z,0);
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v = r-(z - x); /* z+v = r+x */
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t = a = -1.0/w; /* a = -1.0/w */
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SET_LOW_WORD(t,0);
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s = 1.0+t*z;
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return t+a*(s+t*v);
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}
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}
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