229 lines
6.9 KiB
C
229 lines
6.9 KiB
C
/*
|
|
* ====================================================
|
|
* 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 <sys/types.h> */
|
|
|
|
#define _IEEE_LIBM
|
|
#define attribute_hidden
|
|
#define libm_hidden_proto(x)
|
|
#define libm_hidden_def(x)
|
|
#define strong_alias(x, y)
|
|
|
|
#if !defined(__HAIKU__) && !defined(__PSP__) && !defined(__3DS__) && !defined(__PS2__) /* 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 __ieee754_exp SDL_uclibc_exp
|
|
#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 modf SDL_uclibc_modf
|
|
#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.
|
|
* For Maverick, float words are always little-endian.
|
|
*/
|
|
|
|
#if (SDL_FLOATWORDORDER == 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 int32_t __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 int32_t __kernel_rem_pio2(const double *, double *, int, int, const unsigned int,
|
|
const int32_t *) attribute_hidden;
|
|
|
|
#endif /* _MATH_PRIVATE_H_ */
|