math_private.h
Go to the documentation of this file.
/*
* ====================================================
* 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.
* ====================================================
*/
/*
* from: @(#)fdlibm.h 5.1 93/09/24
* $Id: math_private.h,v 1.3 2004/02/09 07:10:38 andersen Exp $
*/
#ifndef _MATH_PRIVATE_H_
#define _MATH_PRIVATE_H_
/* #include <endian.h> */
#include "SDL_endian.h"
/* #include <sys/types.h> */
#define _IEEE_LIBM
#define attribute_hidden
#define libm_hidden_proto(x)
#define libm_hidden_def(x)
#define strong_alias(x, y)
#ifndef __HAIKU__ /* already defined in a system header. */
typedef unsigned int u_int32_t;
#endif
#define atan SDL_uclibc_atan
#define __ieee754_atan2 SDL_uclibc_atan2
#define copysign SDL_uclibc_copysign
#define cos SDL_uclibc_cos
#define fabs SDL_uclibc_fabs
#define floor SDL_uclibc_floor
#define __ieee754_fmod SDL_uclibc_fmod
#define __ieee754_log SDL_uclibc_log
#define __ieee754_log10 SDL_uclibc_log10
#define __ieee754_pow SDL_uclibc_pow
#define scalbln SDL_uclibc_scalbln
#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 *
ix0 = *(n0+(int*)&x); * high word of x *
ix1 = *((1-n0)+(int*)&x); * low word of x *
to dig two 32 bit words out of the 64 bit IEEE floating point
value. That is non-ANSI, and, moreover, the gcc instruction
scheduler gets it wrong. We instead use the following macros.
Unlike the original code, we determine the endianness at compile
time, not at run time; I don't see much benefit to selecting
endianness at run time. */
/* A union which permits us to convert between a double and two 32 bit
ints. */
/*
* Math on arm is special:
* For FPA, float words are always big-endian.
* For VFP, floats words follow the memory system mode.
*/
#if (SDL_BYTEORDER == SDL_BIG_ENDIAN)
typedef union
{
double value;
struct
{
u_int32_t msw;
u_int32_t lsw;
} parts;
} ieee_double_shape_type;
#else
typedef union
{
double value;
struct
{
u_int32_t lsw;
u_int32_t msw;
} parts;
} ieee_double_shape_type;
#endif
/* Get two 32 bit ints from a double. */
#define EXTRACT_WORDS(ix0,ix1,d) \
do { \
ieee_double_shape_type ew_u; \
ew_u.value = (d); \
(ix0) = ew_u.parts.msw; \
(ix1) = ew_u.parts.lsw; \
} while (0)
/* Get the more significant 32 bit int from a double. */
#define GET_HIGH_WORD(i,d) \
do { \
ieee_double_shape_type gh_u; \
gh_u.value = (d); \
(i) = gh_u.parts.msw; \
} while (0)
/* Get the less significant 32 bit int from a double. */
#define GET_LOW_WORD(i,d) \
do { \
ieee_double_shape_type gl_u; \
gl_u.value = (d); \
(i) = gl_u.parts.lsw; \
} while (0)
/* Set a double from two 32 bit ints. */
#define INSERT_WORDS(d,ix0,ix1) \
do { \
ieee_double_shape_type iw_u; \
iw_u.parts.msw = (ix0); \
iw_u.parts.lsw = (ix1); \
(d) = iw_u.value; \
} while (0)
/* Set the more significant 32 bits of a double from an int. */
#define SET_HIGH_WORD(d,v) \
do { \
ieee_double_shape_type sh_u; \
sh_u.value = (d); \
sh_u.parts.msw = (v); \
(d) = sh_u.value; \
} while (0)
/* Set the less significant 32 bits of a double from an int. */
#define SET_LOW_WORD(d,v) \
do { \
ieee_double_shape_type sl_u; \
sl_u.value = (d); \
sl_u.parts.lsw = (v); \
(d) = sl_u.value; \
} while (0)
/* A union which permits us to convert between a float and a 32 bit
int. */
typedef union
{
float value;
u_int32_t word;
} ieee_float_shape_type;
/* Get a 32 bit int from a float. */
#define GET_FLOAT_WORD(i,d) \
do { \
ieee_float_shape_type gf_u; \
gf_u.value = (d); \
(i) = gf_u.word; \
} while (0)
/* Set a float from a 32 bit int. */
#define SET_FLOAT_WORD(d,i) \
do { \
ieee_float_shape_type sf_u; \
sf_u.word = (i); \
(d) = sf_u.value; \
} while (0)
/* ieee style elementary functions */
extern double
__ieee754_sqrt(double)
attribute_hidden;
extern double __ieee754_acos(double) attribute_hidden;
extern double __ieee754_acosh(double) attribute_hidden;
extern double __ieee754_log(double) attribute_hidden;
extern double __ieee754_atanh(double) attribute_hidden;
extern double __ieee754_asin(double) attribute_hidden;
extern double __ieee754_atan2(double, double) attribute_hidden;
extern double __ieee754_exp(double) attribute_hidden;
extern double __ieee754_cosh(double) attribute_hidden;
extern double __ieee754_fmod(double, double) attribute_hidden;
extern double __ieee754_pow(double, double) attribute_hidden;
extern double __ieee754_lgamma_r(double, int *) attribute_hidden;
extern double __ieee754_gamma_r(double, int *) attribute_hidden;
extern double __ieee754_lgamma(double) attribute_hidden;
extern double __ieee754_gamma(double) attribute_hidden;
extern double __ieee754_log10(double) attribute_hidden;
extern double __ieee754_sinh(double) attribute_hidden;
extern double __ieee754_hypot(double, double) attribute_hidden;
extern double __ieee754_j0(double) attribute_hidden;
extern double __ieee754_j1(double) attribute_hidden;
extern double __ieee754_y0(double) attribute_hidden;
extern double __ieee754_y1(double) attribute_hidden;
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;
#if defined(_SCALB_INT)
extern double __ieee754_scalb(double, int) attribute_hidden;
#else
extern double __ieee754_scalb(double, double) attribute_hidden;
#endif
/* fdlibm kernel function */
#ifndef _IEEE_LIBM
extern double __kernel_standard(double, double, int) attribute_hidden;
#endif
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;
#endif /* _MATH_PRIVATE_H_ */
__ieee754_pow
#define __ieee754_pow
Definition: math_private.h:43
__ieee754_log
#define __ieee754_log
Definition: math_private.h:41
__ieee754_gamma
double __ieee754_gamma(double) attribute_hidden
__ieee754_hypot
double __ieee754_hypot(double, double) attribute_hidden
ieee_float_shape_type
Definition: math_private.h:157
__ieee754_lgamma_r
double __ieee754_lgamma_r(double, int *) attribute_hidden
__ieee754_acos
double __ieee754_acos(double) attribute_hidden
ieee_double_shape_type::msw
u_int32_t msw
Definition: math_private.h:77
__kernel_tan
double __kernel_tan(double, double, int) attribute_hidden
Definition: k_tan.c:69
__ieee754_atanh
double __ieee754_atanh(double) attribute_hidden
__ieee754_yn
double __ieee754_yn(int, double) attribute_hidden
ieee_float_shape_type::word
u_int32_t word
Definition: math_private.h:160
ieee_double_shape_type
Definition: math_private.h:72
__ieee754_j1
double __ieee754_j1(double) attribute_hidden
attribute_hidden
#define attribute_hidden
Definition: math_private.h:25
__ieee754_sqrt
#define __ieee754_sqrt
Definition: math_private.h:47
__ieee754_log10
#define __ieee754_log10
Definition: math_private.h:42
ieee_double_shape_type::value
double value
Definition: math_private.h:74
__ieee754_asin
double __ieee754_asin(double) attribute_hidden
__ieee754_j0
double __ieee754_j0(double) attribute_hidden
u_int32_t
unsigned int u_int32_t
Definition: math_private.h:31
__ieee754_gamma_r
double __ieee754_gamma_r(double, int *) attribute_hidden
__ieee754_exp
double __ieee754_exp(double) attribute_hidden
__kernel_cos
double __kernel_cos(double, double) attribute_hidden
Definition: k_cos.c:59
__ieee754_atan2
#define __ieee754_atan2
Definition: math_private.h:35
value
GLsizei const GLfloat * value
Definition: SDL_opengl_glext.h:698
__ieee754_y0
double __ieee754_y0(double) attribute_hidden
ieee_float_shape_type::value
float value
Definition: math_private.h:159
SDL_endian.h
__ieee754_sinh
double __ieee754_sinh(double) attribute_hidden
__kernel_rem_pio2
int __kernel_rem_pio2(double *, double *, int, int, int, const int *) attribute_hidden
__ieee754_cosh
double __ieee754_cosh(double) attribute_hidden
__ieee754_jn
double __ieee754_jn(int, double) attribute_hidden
ieee_double_shape_type::lsw
u_int32_t lsw
Definition: math_private.h:78
__ieee754_lgamma
double __ieee754_lgamma(double) attribute_hidden
__ieee754_acosh
double __ieee754_acosh(double) attribute_hidden
__ieee754_remainder
double __ieee754_remainder(double, double) attribute_hidden
__ieee754_fmod
#define __ieee754_fmod
Definition: math_private.h:40
__kernel_sin
double __kernel_sin(double, double, int) attribute_hidden
Definition: k_sin.c:52
__ieee754_y1
double __ieee754_y1(double) attribute_hidden
__ieee754_rem_pio2
int __ieee754_rem_pio2(double, double *) attribute_hidden
Definition: e_rem_pio2.c:69
__ieee754_scalb
double __ieee754_scalb(double, double) attribute_hidden