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Added SDL_sqrtf(), SDL_tan(), SDL_tanf()

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This commit is contained in:
Sam Lantinga 2014-06-07 18:20:01 -07:00
parent 40538446d9
commit 6101e4b20e
20 changed files with 258 additions and 2 deletions
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2
configure vendored
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@ -16639,7 +16639,7 @@ if test "x$ac_cv_lib_m_pow" = xyes; then :
LIBS="$LIBS -lm"; EXTRA_LDFLAGS="$EXTRA_LDFLAGS -lm"
fi
for ac_func in atan atan2 acos asin ceil copysign cos cosf fabs floor log pow scalbn sin sinf sqrt
for ac_func in atan atan2 acos asin ceil copysign cos cosf fabs floor log pow scalbn sin sinf sqrt tan tanf
do :
as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh`
ac_fn_c_check_func "$LINENO" "$ac_func" "$as_ac_var"

2
configure.in
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@ -271,7 +271,7 @@ if test x$enable_libc = xyes; then
AC_CHECK_FUNCS(malloc calloc realloc free getenv setenv putenv unsetenv qsort abs bcopy memset memcpy memmove strlen strlcpy strlcat strdup _strrev _strupr _strlwr strchr strrchr strstr itoa _ltoa _uitoa _ultoa strtol strtoul _i64toa _ui64toa strtoll strtoull atoi atof strcmp strncmp _stricmp strcasecmp _strnicmp strncasecmp vsscanf vsnprintf fseeko fseeko64 sigaction setjmp nanosleep sysconf sysctlbyname)
AC_CHECK_LIB(m, pow, [LIBS="$LIBS -lm"; EXTRA_LDFLAGS="$EXTRA_LDFLAGS -lm"])
AC_CHECK_FUNCS(atan atan2 acos asin ceil copysign cos cosf fabs floor log pow scalbn sin sinf sqrt)
AC_CHECK_FUNCS(atan atan2 acos asin ceil copysign cos cosf fabs floor log pow scalbn sin sinf sqrt tan tanf)
AC_CHECK_LIB(iconv, iconv_open, [LIBS="$LIBS -liconv"; EXTRA_LDFLAGS="$EXTRA_LDFLAGS -liconv"])
AC_CHECK_FUNCS(iconv)

3
include/SDL_config.h.cmake
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@ -145,6 +145,9 @@
#cmakedefine HAVE_SIN 1
#cmakedefine HAVE_SINF 1
#cmakedefine HAVE_SQRT 1
#cmakedefine HAVE_SQRTF 1
#cmakedefine HAVE_TAN 1
#cmakedefine HAVE_TANF 1
#cmakedefine HAVE_FSEEKO 1
#cmakedefine HAVE_FSEEKO64 1
#cmakedefine HAVE_SIGACTION 1

3
include/SDL_config.h.in
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@ -150,6 +150,9 @@
#undef HAVE_SIN
#undef HAVE_SINF
#undef HAVE_SQRT
#undef HAVE_SQRTF
#undef HAVE_TAN
#undef HAVE_TANF
#undef HAVE_FSEEKO
#undef HAVE_FSEEKO64
#undef HAVE_SIGACTION

3
include/SDL_config_android.h
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@ -100,6 +100,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SIGACTION 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1

3
include/SDL_config_iphoneos.h
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@ -98,6 +98,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SIGACTION 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1

3
include/SDL_config_macosx.h
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@ -96,6 +96,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SIGACTION 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1

3
include/SDL_config_pandora.h
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@ -95,6 +95,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SIGACTION 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1

3
include/SDL_config_psp.h
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@ -98,6 +98,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1
/* #define HAVE_SYSCONF 1 */

3
include/SDL_config_windows.h
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@ -132,6 +132,9 @@ typedef unsigned int uintptr_t;
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#if _MSC_VER >= 1800
#define HAVE_STRTOLL 1
#define HAVE_VSSCANF 1

3
include/SDL_config_winrt.h
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@ -137,6 +137,9 @@ typedef unsigned int uintptr_t;
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE__FSEEKI64 1
/* Enable various audio drivers */

3
include/SDL_config_wiz.h
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@ -89,6 +89,9 @@
#define HAVE_SIN 1
#define HAVE_SINF 1
#define HAVE_SQRT 1
#define HAVE_SQRTF 1
#define HAVE_TAN 1
#define HAVE_TANF 1
#define HAVE_SIGACTION 1
#define HAVE_SETJMP 1
#define HAVE_NANOSLEEP 1

3
include/SDL_stdinc.h
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@ -411,6 +411,9 @@ extern DECLSPEC double SDLCALL SDL_scalbn(double x, int n);
extern DECLSPEC double SDLCALL SDL_sin(double x);
extern DECLSPEC float SDLCALL SDL_sinf(float x);
extern DECLSPEC double SDLCALL SDL_sqrt(double x);
extern DECLSPEC float SDLCALL SDL_sqrtf(float x);
extern DECLSPEC double SDLCALL SDL_tan(double x);
extern DECLSPEC float SDLCALL SDL_tanf(float x);
/* The SDL implementation of iconv() returns these error codes */
#define SDL_ICONV_ERROR (size_t)-1

3
src/dynapi/SDL_dynapi_overrides.h
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@ -581,3 +581,6 @@
#define SDL_WinRTGetFSPathUNICODE SDL_WinRTGetFSPathUNICODE_REAL
#define SDL_WinRTGetFSPathUTF8 SDL_WinRTGetFSPathUTF8_REAL
#define SDL_WinRTRunApp SDL_WinRTRunApp_REAL
#define SDL_sqrtf SDL_sqrtf_REAL
#define SDL_tan SDL_tan_REAL
#define SDL_tanf SDL_tanf_REAL

3
src/dynapi/SDL_dynapi_procs.h
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@ -613,3 +613,6 @@ SDL_DYNAPI_PROC(const wchar_t*,SDL_WinRTGetFSPathUNICODE,(SDL_WinRT_Path a),(a),
SDL_DYNAPI_PROC(const char*,SDL_WinRTGetFSPathUTF8,(SDL_WinRT_Path a),(a),return)
#endif
SDL_DYNAPI_PROC(void,SDL_WarpMouseGlobal,(int a, int b),(a,b),)
SDL_DYNAPI_PROC(float,SDL_sqrtf,(float a),(a),return)
SDL_DYNAPI_PROC(double,SDL_tan,(double a),(a),return)
SDL_DYNAPI_PROC(float,SDL_tanf,(float a),(a),return)

118
src/libm/k_tan.c Normal file
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@ -0,0 +1,118 @@
/*
* ====================================================
* 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.
* ====================================================
*/
/* __kernel_tan( x, y, k )
* kernel tan function on [-pi/4, pi/4], pi/4 ~ 0.7854
* Input x is assumed to be bounded by ~pi/4 in magnitude.
* Input y is the tail of x.
* Input k indicates whether tan (if k=1) or
* -1/tan (if k= -1) is returned.
*
* Algorithm
* 1. Since tan(-x) = -tan(x), we need only to consider positive x.
* 2. if x < 2^-28 (hx<0x3e300000 0), return x with inexact if x!=0.
* 3. tan(x) is approximated by a odd polynomial of degree 27 on
* [0,0.67434]
* 3 27
* tan(x) ~ x + T1*x + ... + T13*x
* where
*
* |tan(x) 2 4 26 | -59.2
* |----- - (1+T1*x +T2*x +.... +T13*x )| <= 2
* | x |
*
* Note: tan(x+y) = tan(x) + tan'(x)*y
* ~ tan(x) + (1+x*x)*y
* Therefore, for better accuracy in computing tan(x+y), let
* 3 2 2 2 2
* r = x *(T2+x *(T3+x *(...+x *(T12+x *T13))))
* then
* 3 2
* tan(x+y) = x + (T1*x + (x *(r+y)+y))
*
* 4. For x in [0.67434,pi/4], let y = pi/4 - x, then
* tan(x) = tan(pi/4-y) = (1-tan(y))/(1+tan(y))
* = 1 - 2*(tan(y) - (tan(y)^2)/(1+tan(y)))
*/
#include "math_libm.h"
#include "math_private.h"
static const double
one = 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */
pio4 = 7.85398163397448278999e-01, /* 0x3FE921FB, 0x54442D18 */
pio4lo= 3.06161699786838301793e-17, /* 0x3C81A626, 0x33145C07 */
T[] = {
3.33333333333334091986e-01, /* 0x3FD55555, 0x55555563 */
1.33333333333201242699e-01, /* 0x3FC11111, 0x1110FE7A */
5.39682539762260521377e-02, /* 0x3FABA1BA, 0x1BB341FE */
2.18694882948595424599e-02, /* 0x3F9664F4, 0x8406D637 */
8.86323982359930005737e-03, /* 0x3F8226E3, 0xE96E8493 */
3.59207910759131235356e-03, /* 0x3F6D6D22, 0xC9560328 */
1.45620945432529025516e-03, /* 0x3F57DBC8, 0xFEE08315 */
5.88041240820264096874e-04, /* 0x3F4344D8, 0xF2F26501 */
2.46463134818469906812e-04, /* 0x3F3026F7, 0x1A8D1068 */
7.81794442939557092300e-05, /* 0x3F147E88, 0xA03792A6 */
7.14072491382608190305e-05, /* 0x3F12B80F, 0x32F0A7E9 */
-1.85586374855275456654e-05, /* 0xBEF375CB, 0xDB605373 */
2.59073051863633712884e-05, /* 0x3EFB2A70, 0x74BF7AD4 */
};
double __kernel_tan(double x, double y, int iy)
{
double z,r,v,w,s;
int32_t ix,hx;
GET_HIGH_WORD(hx,x);
ix = hx&0x7fffffff; /* high word of |x| */
if(ix<0x3e300000) /* x < 2**-28 */
{if((int)x==0) { /* generate inexact */
u_int32_t low;
GET_LOW_WORD(low,x);
if(((ix|low)|(iy+1))==0) return one/fabs(x);
else return (iy==1)? x: -one/x;
}
}
if(ix>=0x3FE59428) { /* |x|>=0.6744 */
if(hx<0) {x = -x; y = -y;}
z = pio4-x;
w = pio4lo-y;
x = z+w; y = 0.0;
}
z = x*x;
w = z*z;
/* Break x^5*(T[1]+x^2*T[2]+...) into
* x^5(T[1]+x^4*T[3]+...+x^20*T[11]) +
* x^5(x^2*(T[2]+x^4*T[4]+...+x^22*[T12]))
*/
r = T[1]+w*(T[3]+w*(T[5]+w*(T[7]+w*(T[9]+w*T[11]))));
v = z*(T[2]+w*(T[4]+w*(T[6]+w*(T[8]+w*(T[10]+w*T[12])))));
s = z*x;
r = y + z*(s*(r+v)+y);
r += T[0]*s;
w = x+r;
if(ix>=0x3FE59428) {
v = (double)iy;
return (double)(1-((hx>>30)&2))*(v-2.0*(x-(w*w/(w+v)-r)));
}
if(iy==1) return w;
else { /* if allow error up to 2 ulp,
simply return -1.0/(x+r) here */
/* compute -1.0/(x+r) accurately */
double a,t;
z = w;
SET_LOW_WORD(z,0);
v = r-(z - x); /* z+v = r+x */
t = a = -1.0/w; /* a = -1.0/w */
SET_LOW_WORD(t,0);
s = 1.0+t*z;
return t+a*(s+t*v);
}
}

1
src/libm/math_libm.h
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@ -33,5 +33,6 @@ double SDL_uclibc_pow(double x, double y);
double SDL_uclibc_scalbn(double x, int n);
double SDL_uclibc_sin(double x);
double SDL_uclibc_sqrt(double x);
double SDL_uclibc_tan(double x);
/* vi: set ts=4 sw=4 expandtab: */

1
src/libm/math_private.h
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@ -40,6 +40,7 @@ typedef unsigned int u_int32_t;
#define scalbn SDL_uclibc_scalbn
#define sin SDL_uclibc_sin
#define __ieee754_sqrt SDL_uclibc_sqrt
#define tan SDL_uclibc_tan
/* The original fdlibm code used statements like:
n0 = ((*(int*)&one)>>29)^1; * index of high word *

67
src/libm/s_tan.c Normal file
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@ -0,0 +1,67 @@
/*
* ====================================================
* 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.
* ====================================================
*/
/* tan(x)
* Return tangent function of x.
*
* kernel function:
* __kernel_tan ... tangent function on [-pi/4,pi/4]
* __ieee754_rem_pio2 ... argument reduction routine
*
* Method.
* Let S,C and T denote the sin, cos and tan respectively on
* [-PI/4, +PI/4]. Reduce the argument x to y1+y2 = x-k*pi/2
* in [-pi/4 , +pi/4], and let n = k mod 4.
* We have
*
* n sin(x) cos(x) tan(x)
* ----------------------------------------------------------
* 0 S C T
* 1 C -S -1/T
* 2 -S -C T
* 3 -C S -1/T
* ----------------------------------------------------------
*
* Special cases:
* Let trig be any of sin, cos, or tan.
* trig(+-INF) is NaN, with signals;
* trig(NaN) is that NaN;
*
* Accuracy:
* TRIG(x) returns trig(x) nearly rounded
*/
#include "math.h"
#include "math_private.h"
double tan(double x)
{
double y[2],z=0.0;
int32_t n, ix;
/* High word of x. */
GET_HIGH_WORD(ix,x);
/* |x| ~< pi/4 */
ix &= 0x7fffffff;
if(ix <= 0x3fe921fb) return __kernel_tan(x,z,1);
/* tan(Inf or NaN) is NaN */
else if (ix>=0x7ff00000) return x-x; /* NaN */
/* argument reduction needed */
else {
n = __ieee754_rem_pio2(x,y);
return __kernel_tan(y[0],y[1],1-((n&1)<<1)); /* 1 -- n even
-1 -- n odd */
}
}
libm_hidden_def(tan)

30
src/stdlib/SDL_stdlib.c
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@ -211,6 +211,36 @@ SDL_sqrt(double x)
#endif
}
float
SDL_sqrtf(float x)
{
#if defined(HAVE_SQRTF)
return sqrtf(x);
#else
return (float)SDL_sqrt((double)x);
#endif
}
double
SDL_tan(double x)
{
#if defined(HAVE_TAN)
return tan(x);
#else
return SDL_uclibc_tan(x);
#endif
}
float
SDL_tanf(float x)
{
#if defined(HAVE_TANF)
return tanf(x);
#else
return (float)SDL_tan((double)x);
#endif
}
int SDL_abs(int x)
{
#ifdef HAVE_ABS