ee9dd3721b
From-SVN: r26263
344 lines
9.4 KiB
C
344 lines
9.4 KiB
C
|
|
/* @(#)fdlibm.h 5.1 93/09/24 */
|
|
/*
|
|
* ====================================================
|
|
* 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.
|
|
* ====================================================
|
|
*/
|
|
|
|
|
|
#ifdef __cplusplus
|
|
extern "C" {
|
|
#endif
|
|
|
|
#include <config.h>
|
|
#include <stdlib.h>
|
|
|
|
/* CYGNUS LOCAL: Include files. */
|
|
#include "ieeefp.h"
|
|
|
|
/* CYGNUS LOCAL: Default to XOPEN_MODE. */
|
|
#define _XOPEN_MODE
|
|
|
|
#ifdef __STDC__
|
|
#define __P(p) p
|
|
#else
|
|
#define __P(p) ()
|
|
#endif
|
|
|
|
#define HUGE ((float)3.40282346638528860e+38)
|
|
|
|
/*
|
|
* set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
|
|
* (one may replace the following line by "#include <values.h>")
|
|
*/
|
|
|
|
#define X_TLOSS 1.41484755040568800000e+16
|
|
|
|
/* These typedefs are true for the targets running Java. */
|
|
|
|
#ifndef HAVE_INT32_DEFINED
|
|
typedef int __int32_t;
|
|
typedef unsigned int __uint32_t;
|
|
#endif
|
|
|
|
#define _IEEE_LIBM
|
|
|
|
/*
|
|
* ANSI/POSIX
|
|
*/
|
|
extern double acos __P((double));
|
|
extern double asin __P((double));
|
|
extern double atan __P((double));
|
|
extern double atan2 __P((double, double));
|
|
extern double cos __P((double));
|
|
extern double sin __P((double));
|
|
extern double tan __P((double));
|
|
|
|
extern double cosh __P((double));
|
|
extern double sinh __P((double));
|
|
extern double tanh __P((double));
|
|
|
|
extern double exp __P((double));
|
|
extern double frexp __P((double, int *));
|
|
extern double ldexp __P((double, int));
|
|
extern double log __P((double));
|
|
extern double log10 __P((double));
|
|
extern double modf __P((double, double *));
|
|
|
|
extern double pow __P((double, double));
|
|
extern double sqrt __P((double));
|
|
|
|
extern double ceil __P((double));
|
|
extern double fabs __P((double));
|
|
extern double floor __P((double));
|
|
extern double fmod __P((double, double));
|
|
|
|
extern double erf __P((double));
|
|
extern double erfc __P((double));
|
|
extern double gamma __P((double));
|
|
extern double hypot __P((double, double));
|
|
extern int isnan __P((double));
|
|
extern int finite __P((double));
|
|
extern double j0 __P((double));
|
|
extern double j1 __P((double));
|
|
extern double jn __P((int, double));
|
|
extern double lgamma __P((double));
|
|
extern double y0 __P((double));
|
|
extern double y1 __P((double));
|
|
extern double yn __P((int, double));
|
|
|
|
extern double acosh __P((double));
|
|
extern double asinh __P((double));
|
|
extern double atanh __P((double));
|
|
extern double cbrt __P((double));
|
|
extern double logb __P((double));
|
|
extern double nextafter __P((double, double));
|
|
extern double remainder __P((double, double));
|
|
|
|
/* Functions that are not documented, and are not in <math.h>. */
|
|
|
|
extern double logb __P((double));
|
|
#ifdef _SCALB_INT
|
|
extern double scalb __P((double, int));
|
|
#else
|
|
extern double scalb __P((double, double));
|
|
#endif
|
|
extern double significand __P((double));
|
|
|
|
/* ieee style elementary functions */
|
|
extern double __ieee754_sqrt __P((double));
|
|
extern double __ieee754_acos __P((double));
|
|
extern double __ieee754_acosh __P((double));
|
|
extern double __ieee754_log __P((double));
|
|
extern double __ieee754_atanh __P((double));
|
|
extern double __ieee754_asin __P((double));
|
|
extern double __ieee754_atan2 __P((double,double));
|
|
extern double __ieee754_exp __P((double));
|
|
extern double __ieee754_cosh __P((double));
|
|
extern double __ieee754_fmod __P((double,double));
|
|
extern double __ieee754_pow __P((double,double));
|
|
extern double __ieee754_lgamma_r __P((double,int *));
|
|
extern double __ieee754_gamma_r __P((double,int *));
|
|
extern double __ieee754_log10 __P((double));
|
|
extern double __ieee754_sinh __P((double));
|
|
extern double __ieee754_hypot __P((double,double));
|
|
extern double __ieee754_j0 __P((double));
|
|
extern double __ieee754_j1 __P((double));
|
|
extern double __ieee754_y0 __P((double));
|
|
extern double __ieee754_y1 __P((double));
|
|
extern double __ieee754_jn __P((int,double));
|
|
extern double __ieee754_yn __P((int,double));
|
|
extern double __ieee754_remainder __P((double,double));
|
|
extern __int32_t __ieee754_rem_pio2 __P((double,double*));
|
|
#ifdef _SCALB_INT
|
|
extern double __ieee754_scalb __P((double,int));
|
|
#else
|
|
extern double __ieee754_scalb __P((double,double));
|
|
#endif
|
|
|
|
/* fdlibm kernel function */
|
|
extern double __kernel_standard __P((double,double,int));
|
|
extern double __kernel_sin __P((double,double,int));
|
|
extern double __kernel_cos __P((double,double));
|
|
extern double __kernel_tan __P((double,double,int));
|
|
extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const __int32_t*));
|
|
|
|
/* Undocumented float functions. */
|
|
extern float logbf __P((float));
|
|
#ifdef _SCALB_INT
|
|
extern float scalbf __P((float, int));
|
|
#else
|
|
extern float scalbf __P((float, float));
|
|
#endif
|
|
extern float significandf __P((float));
|
|
|
|
/*
|
|
* Functions callable from C, intended to support IEEE arithmetic.
|
|
*/
|
|
extern double copysign __P((double, double));
|
|
extern int ilogb __P((double));
|
|
extern double rint __P((double));
|
|
extern float rintf __P((float));
|
|
extern double scalbn __P((double, int));
|
|
|
|
/* ieee style elementary float functions */
|
|
extern float __ieee754_sqrtf __P((float));
|
|
extern float __ieee754_acosf __P((float));
|
|
extern float __ieee754_acoshf __P((float));
|
|
extern float __ieee754_logf __P((float));
|
|
extern float __ieee754_atanhf __P((float));
|
|
extern float __ieee754_asinf __P((float));
|
|
extern float __ieee754_atan2f __P((float,float));
|
|
extern float __ieee754_expf __P((float));
|
|
extern float __ieee754_coshf __P((float));
|
|
extern float __ieee754_fmodf __P((float,float));
|
|
extern float __ieee754_powf __P((float,float));
|
|
extern float __ieee754_lgammaf_r __P((float,int *));
|
|
extern float __ieee754_gammaf_r __P((float,int *));
|
|
extern float __ieee754_log10f __P((float));
|
|
extern float __ieee754_sinhf __P((float));
|
|
extern float __ieee754_hypotf __P((float,float));
|
|
extern float __ieee754_j0f __P((float));
|
|
extern float __ieee754_j1f __P((float));
|
|
extern float __ieee754_y0f __P((float));
|
|
extern float __ieee754_y1f __P((float));
|
|
extern float __ieee754_jnf __P((int,float));
|
|
extern float __ieee754_ynf __P((int,float));
|
|
extern float __ieee754_remainderf __P((float,float));
|
|
extern __int32_t __ieee754_rem_pio2f __P((float,float*));
|
|
#ifdef _SCALB_INT
|
|
extern float __ieee754_scalbf __P((float,int));
|
|
#else
|
|
extern float __ieee754_scalbf __P((float,float));
|
|
#endif
|
|
|
|
/* float versions of fdlibm kernel functions */
|
|
extern float __kernel_sinf __P((float,float,int));
|
|
extern float __kernel_cosf __P((float,float));
|
|
extern float __kernel_tanf __P((float,float,int));
|
|
extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const __int32_t*));
|
|
|
|
/* The original 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. */
|
|
|
|
#ifndef __IEEE_BIG_ENDIAN
|
|
#ifndef __IEEE_LITTLE_ENDIAN
|
|
#error Must define endianness
|
|
#endif
|
|
#endif
|
|
|
|
/* A union which permits us to convert between a double and two 32 bit
|
|
ints. */
|
|
|
|
#ifdef __IEEE_BIG_ENDIAN
|
|
|
|
typedef union
|
|
{
|
|
double value;
|
|
struct
|
|
{
|
|
__uint32_t msw;
|
|
__uint32_t lsw;
|
|
} parts;
|
|
} ieee_double_shape_type;
|
|
|
|
#endif
|
|
|
|
#ifdef __IEEE_LITTLE_ENDIAN
|
|
|
|
typedef union
|
|
{
|
|
double value;
|
|
struct
|
|
{
|
|
__uint32_t lsw;
|
|
__uint32_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;
|
|
__uint32_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)
|
|
|
|
#ifdef __cplusplus
|
|
}
|
|
#endif
|
|
|