TorqueGameEngines/Torque3D
1
0
Fork 0
mirror of https://github.com/TorqueGameEngines/Torque3D.git synced 2026-07-13 15:44:36 +00:00
Code Issues Projects Releases Packages Wiki Activity Actions 3

Update to SDL2.0.10

Browse source
This commit is contained in:
Areloch 2019-08-19 23:30:35 -05:00
parent 600859bd63
commit c932bda8dd
915 changed files with 116675 additions and 21754 deletions
Download patch file Download diff file Expand all files Collapse all files

191
Engine/lib/sdl/src/libm/e_exp.c Normal file
View file

@ -0,0 +1,191 @@
/*
* ====================================================
* 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_exp(x)
* Returns the exponential of x.
*
* Method
* 1. Argument reduction:
* Reduce x to an r so that |r| <= 0.5*ln2 ~ 0.34658.
* Given x, find r and integer k such that
*
* x = k*ln2 + r, |r| <= 0.5*ln2.
*
* Here r will be represented as r = hi-lo for better
* accuracy.
*
* 2. Approximation of exp(r) by a special rational function on
* the interval [0,0.34658]:
* Write
* R(r**2) = r*(exp(r)+1)/(exp(r)-1) = 2 + r*r/6 - r**4/360 + ...
* We use a special Reme algorithm on [0,0.34658] to generate
* a polynomial of degree 5 to approximate R. The maximum error
* of this polynomial approximation is bounded by 2**-59. In
* other words,
* R(z) ~ 2.0 + P1*z + P2*z**2 + P3*z**3 + P4*z**4 + P5*z**5
* (where z=r*r, and the values of P1 to P5 are listed below)
* and
* | 5 | -59
* | 2.0+P1*z+...+P5*z - R(z) | <= 2
* | |
* The computation of exp(r) thus becomes
* 2*r
* exp(r) = 1 + -------
* R - r
* r*R1(r)
* = 1 + r + ----------- (for better accuracy)
* 2 - R1(r)
* where
* 2 4 10
* R1(r) = r - (P1*r + P2*r + ... + P5*r ).
*
* 3. Scale back to obtain exp(x):
* From step 1, we have
* exp(x) = 2^k * exp(r)
*
* Special cases:
* exp(INF) is INF, exp(NaN) is NaN;
* exp(-INF) is 0, and
* for finite argument, only exp(0)=1 is exact.
*
* Accuracy:
* according to an error analysis, the error is always less than
* 1 ulp (unit in the last place).
*
* Misc. info.
* For IEEE double
* if x > 7.09782712893383973096e+02 then exp(x) overflow
* if x < -7.45133219101941108420e+02 then exp(x) underflow
*
* 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"
#ifdef __WATCOMC__ /* Watcom defines huge=__huge */
#undef huge
#endif
static const double
one = 1.0,
halF[2] = {0.5,-0.5,},
huge = 1.0e+300,
twom1000= 9.33263618503218878990e-302, /* 2**-1000=0x01700000,0*/
o_threshold= 7.09782712893383973096e+02, /* 0x40862E42, 0xFEFA39EF */
u_threshold= -7.45133219101941108420e+02, /* 0xc0874910, 0xD52D3051 */
ln2HI[2] ={ 6.93147180369123816490e-01, /* 0x3fe62e42, 0xfee00000 */
-6.93147180369123816490e-01,},/* 0xbfe62e42, 0xfee00000 */
ln2LO[2] ={ 1.90821492927058770002e-10, /* 0x3dea39ef, 0x35793c76 */
-1.90821492927058770002e-10,},/* 0xbdea39ef, 0x35793c76 */
invln2 = 1.44269504088896338700e+00, /* 0x3ff71547, 0x652b82fe */
P1 = 1.66666666666666019037e-01, /* 0x3FC55555, 0x5555553E */
P2 = -2.77777777770155933842e-03, /* 0xBF66C16C, 0x16BEBD93 */
P3 = 6.61375632143793436117e-05, /* 0x3F11566A, 0xAF25DE2C */
P4 = -1.65339022054652515390e-06, /* 0xBEBBBD41, 0xC5D26BF1 */
P5 = 4.13813679705723846039e-08; /* 0x3E663769, 0x72BEA4D0 */
double __ieee754_exp(double x) /* default IEEE double exp */
{
double y;
double hi = 0.0;
double lo = 0.0;
double c;
double t;
int32_t k=0;
int32_t xsb;
u_int32_t hx;
GET_HIGH_WORD(hx,x);
xsb = (hx>>31)&1; /* sign bit of x */
hx &= 0x7fffffff; /* high word of |x| */
/* filter out non-finite argument */
if(hx >= 0x40862E42) { /* if |x|>=709.78... */
if(hx>=0x7ff00000) {
u_int32_t lx;
GET_LOW_WORD(lx,x);
if(((hx&0xfffff)|lx)!=0)
return x+x; /* NaN */
else return (xsb==0)? x:0.0; /* exp(+-inf)={inf,0} */
}
#if 1
if(x > o_threshold) return huge*huge; /* overflow */
#else /* !!! FIXME: check this: "huge * huge" is a compiler warning, maybe they wanted +Inf? */
if(x > o_threshold) return INFINITY; /* overflow */
#endif
if(x < u_threshold) return twom1000*twom1000; /* underflow */
}
/* argument reduction */
if(hx > 0x3fd62e42) { /* if |x| > 0.5 ln2 */
if(hx < 0x3FF0A2B2) { /* and |x| < 1.5 ln2 */
hi = x-ln2HI[xsb]; lo=ln2LO[xsb]; k = 1-xsb-xsb;
} else {
k = (int32_t) (invln2*x+halF[xsb]);
t = k;
hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
lo = t*ln2LO[0];
}
x = hi - lo;
}
else if(hx < 0x3e300000) { /* when |x|<2**-28 */
if(huge+x>one) return one+x;/* trigger inexact */
}
else k = 0;
/* x is now in primary range */
t = x*x;
c = x - t*(P1+t*(P2+t*(P3+t*(P4+t*P5))));
if(k==0) return one-((x*c)/(c-2.0)-x);
else y = one-((lo-(x*c)/(2.0-c))-hi);
if(k >= -1021) {
u_int32_t hy;
GET_HIGH_WORD(hy,y);
SET_HIGH_WORD(y,hy+(k<<20)); /* add k to y's exponent */
return y;
} else {
u_int32_t hy;
GET_HIGH_WORD(hy,y);
SET_HIGH_WORD(y,hy+((k+1000)<<20)); /* add k to y's exponent */
return y*twom1000;
}
}
/*
* wrapper exp(x)
*/
#ifndef _IEEE_LIBM
double exp(double x)
{
static const double o_threshold = 7.09782712893383973096e+02; /* 0x40862E42, 0xFEFA39EF */
static const double u_threshold = -7.45133219101941108420e+02; /* 0xc0874910, 0xD52D3051 */
double z = __ieee754_exp(x);
if (_LIB_VERSION == _IEEE_)
return z;
if (isfinite(x)) {
if (x > o_threshold)
return __kernel_standard(x, x, 6); /* exp overflow */
if (x < u_threshold)
return __kernel_standard(x, x, 7); /* exp underflow */
}
return z;
}
#else
strong_alias(__ieee754_exp, exp)
#endif
libm_hidden_def(exp)

4
Engine/lib/sdl/src/libm/e_pow.c
View file

@ -63,6 +63,10 @@
#pragma warning ( disable : 4756 )
#endif
#ifdef __WATCOMC__ /* Watcom defines huge=__huge */
#undef huge
#endif
static const double
bp[] = {1.0, 1.5,},
dp_h[] = { 0.0, 5.84962487220764160156e-01,}, /* 0x3FE2B803, 0x40000000 */

2
Engine/lib/sdl/src/libm/e_rem_pio2.c
View file

@ -154,7 +154,7 @@ int32_t attribute_hidden __ieee754_rem_pio2(double x, double *y)
}
tx[2] = z;
nx = 3;
while(tx[nx-1]==zero) nx--; /* skip zero term */
while((nx > 0) && tx[nx-1]==zero) nx--; /* skip zero term */
n = __kernel_rem_pio2(tx,y,e0,nx,2,two_over_pi);
if(hx<0) {y[0] = -y[0]; y[1] = -y[1]; return -n;}
return n;

22
Engine/lib/sdl/src/libm/k_rem_pio2.c
View file

@ -128,6 +128,8 @@
#include "math_libm.h"
#include "math_private.h"
#include "SDL_assert.h"
static const int init_jk[] = {2,3,4,6}; /* initial value for jk */
static const double PIo2[] = {
@ -147,13 +149,19 @@ one = 1.0,
two24 = 1.67772160000000000000e+07, /* 0x41700000, 0x00000000 */
twon24 = 5.96046447753906250000e-08; /* 0x3E700000, 0x00000000 */
int attribute_hidden __kernel_rem_pio2(double *x, double *y, int e0, int nx, int prec, const int32_t *ipio2)
int32_t attribute_hidden __kernel_rem_pio2(double *x, double *y, int e0, int nx, const unsigned int prec, const int32_t *ipio2)
{
int32_t jz,jx,jv,jp,jk,carry,n,iq[20],i,j,k,m,q0,ih;
double z,fw,f[20],fq[20],q[20];
if (nx < 1) {
return 0;
}
/* initialize jk*/
SDL_assert(prec < SDL_arraysize(init_jk));
jk = init_jk[prec];
SDL_assert(jk > 0);
jp = jk;
/* determine jx,jv,q0, note that 3>q0 */
@ -164,6 +172,9 @@ int attribute_hidden __kernel_rem_pio2(double *x, double *y, int e0, int nx, int
/* set up f[0] to f[jx+jk] where f[jx+jk] = ipio2[jv+jk] */
j = jv-jx; m = jx+jk;
for(i=0;i<=m;i++,j++) f[i] = (j<0)? zero : (double) ipio2[j];
if ((m+1) < SDL_arraysize(f)) {
SDL_memset(&f[m+1], 0, sizeof (f) - ((m+1) * sizeof (f[0])));
}
/* compute q[0],q[1],...q[jk] */
for (i=0;i<=jk;i++) {
@ -179,6 +190,9 @@ recompute:
iq[i] = (int32_t)(z-two24*fw);
z = q[j-1]+fw;
}
if (jz < SDL_arraysize(iq)) {
SDL_memset(&iq[jz], 0, sizeof (q) - (jz * sizeof (iq[0])));
}
/* compute n */
z = scalbn(z,q0); /* actual value of z */
@ -238,7 +252,8 @@ recompute:
/* chop off zero terms */
if(z==0.0) {
jz -= 1; q0 -= 24;
while(iq[jz]==0) { jz--; q0-=24;}
SDL_assert(jz >= 0);
while(iq[jz]==0) { jz--; SDL_assert(jz >= 0); q0-=24;}
} else { /* break z into 24-bit if necessary */
z = scalbn(z,-q0);
if(z>=two24) {
@ -260,6 +275,9 @@ recompute:
for(fw=0.0,k=0;k<=jp&&k<=jz-i;k++) fw += PIo2[k]*q[i+k];
fq[jz-i] = fw;
}
if ((jz+1) < SDL_arraysize(f)) {
SDL_memset(&fq[jz+1], 0, sizeof (fq) - ((jz+1) * sizeof (fq[0])));
}
/* compress fq[] into y[] */
switch(prec) {

9
Engine/lib/sdl/src/libm/math_libm.h
View file

@ -1,6 +1,6 @@
/*
Simple DirectMedia Layer
Copyright (C) 1997-2018 Sam Lantinga <slouken@libsdl.org>
Copyright (C) 1997-2019 Sam Lantinga <slouken@libsdl.org>
This software is provided 'as-is', without any express or implied
warranty. In no event will the authors be held liable for any damages
@ -18,6 +18,10 @@
misrepresented as being the original software.
3. This notice may not be removed or altered from any source distribution.
*/
#ifndef math_libm_h_
#define math_libm_h_
#include "../SDL_internal.h"
/* Math routines from uClibc: http://www.uclibc.org */
@ -26,6 +30,7 @@ double SDL_uclibc_atan(double x);
double SDL_uclibc_atan2(double y, double x);
double SDL_uclibc_copysign(double x, double y);
double SDL_uclibc_cos(double x);
double SDL_uclibc_exp(double x);
double SDL_uclibc_fabs(double x);
double SDL_uclibc_floor(double x);
double SDL_uclibc_fmod(double x, double y);
@ -37,4 +42,6 @@ double SDL_uclibc_sin(double x);
double SDL_uclibc_sqrt(double x);
double SDL_uclibc_tan(double x);
#endif /* math_libm_h_ */
/* vi: set ts=4 sw=4 expandtab: */

7
Engine/lib/sdl/src/libm/math_private.h
View file

@ -35,6 +35,7 @@ typedef unsigned int u_int32_t;
#define __ieee754_atan2 SDL_uclibc_atan2
#define copysign SDL_uclibc_copysign
#define cos SDL_uclibc_cos
#define __ieee754_exp SDL_uclibc_exp
#define fabs SDL_uclibc_fabs
#define floor SDL_uclibc_floor
#define __ieee754_fmod SDL_uclibc_fmod
@ -206,7 +207,7 @@ __ieee754_sqrt(double)
extern double __ieee754_jn(int, double) attribute_hidden;
extern double __ieee754_yn(int, double) attribute_hidden;
extern double __ieee754_remainder(double, double) attribute_hidden;
extern int __ieee754_rem_pio2(double, double *) attribute_hidden;
extern int32_t __ieee754_rem_pio2(double, double *) attribute_hidden;
#if defined(_SCALB_INT)
extern double __ieee754_scalb(double, int) attribute_hidden;
#else
@ -220,7 +221,7 @@ __ieee754_sqrt(double)
extern double __kernel_sin(double, double, int) attribute_hidden;
extern double __kernel_cos(double, double) attribute_hidden;
extern double __kernel_tan(double, double, int) attribute_hidden;
extern int __kernel_rem_pio2(double *, double *, int, int, int,
const int *) attribute_hidden;
extern int32_t __kernel_rem_pio2(double *, double *, int, int, const unsigned int,
const int32_t *) attribute_hidden;
#endif /* _MATH_PRIVATE_H_ */

4
Engine/lib/sdl/src/libm/s_atan.c
View file

@ -60,6 +60,10 @@ static const double aT[] = {
1.62858201153657823623e-02, /* 0x3F90AD3A, 0xE322DA11 */
};
#ifdef __WATCOMC__ /* Watcom defines huge=__huge */
#undef huge
#endif
static const double
one = 1.0,
huge = 1.0e300;

4
Engine/lib/sdl/src/libm/s_floor.c
View file

@ -24,6 +24,10 @@
#include "math_libm.h"
#include "math_private.h"
#ifdef __WATCOMC__ /* Watcom defines huge=__huge */
#undef huge
#endif
static const double huge = 1.0e300;
double floor(double x)

4
Engine/lib/sdl/src/libm/s_scalbn.c
View file

@ -20,6 +20,10 @@
#include "math_private.h"
#include <limits.h>
#ifdef __WATCOMC__ /* Watcom defines huge=__huge */
#undef huge
#endif
static const double
two54 = 1.80143985094819840000e+16, /* 0x43500000, 0x00000000 */
twom54 = 5.55111512312578270212e-17, /* 0x3C900000, 0x00000000 */