| 1 |
1325 |
phoenix |
/*
|
| 2 |
|
|
* ====================================================
|
| 3 |
|
|
* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
|
| 4 |
|
|
*
|
| 5 |
|
|
* Developed at SunPro, a Sun Microsystems, Inc. business.
|
| 6 |
|
|
* Permission to use, copy, modify, and distribute this
|
| 7 |
|
|
* software is freely granted, provided that this notice
|
| 8 |
|
|
* is preserved.
|
| 9 |
|
|
* ====================================================
|
| 10 |
|
|
*/
|
| 11 |
|
|
|
| 12 |
|
|
/*
|
| 13 |
|
|
* from: @(#)fdlibm.h 5.1 93/09/24
|
| 14 |
|
|
* $Id: math_private.h,v 1.1.1.1 2004-11-12 23:09:18 phoenix Exp $
|
| 15 |
|
|
*/
|
| 16 |
|
|
|
| 17 |
|
|
#ifndef _MATH_PRIVATE_H_
|
| 18 |
|
|
#define _MATH_PRIVATE_H_
|
| 19 |
|
|
|
| 20 |
|
|
#include <endian.h>
|
| 21 |
|
|
#include <sys/types.h>
|
| 22 |
|
|
|
| 23 |
|
|
/* The original fdlibm code used statements like:
|
| 24 |
|
|
n0 = ((*(int*)&one)>>29)^1; * index of high word *
|
| 25 |
|
|
ix0 = *(n0+(int*)&x); * high word of x *
|
| 26 |
|
|
ix1 = *((1-n0)+(int*)&x); * low word of x *
|
| 27 |
|
|
to dig two 32 bit words out of the 64 bit IEEE floating point
|
| 28 |
|
|
value. That is non-ANSI, and, moreover, the gcc instruction
|
| 29 |
|
|
scheduler gets it wrong. We instead use the following macros.
|
| 30 |
|
|
Unlike the original code, we determine the endianness at compile
|
| 31 |
|
|
time, not at run time; I don't see much benefit to selecting
|
| 32 |
|
|
endianness at run time. */
|
| 33 |
|
|
|
| 34 |
|
|
/* A union which permits us to convert between a double and two 32 bit
|
| 35 |
|
|
ints. */
|
| 36 |
|
|
|
| 37 |
|
|
/*
|
| 38 |
|
|
* Math on arm is little endian except for the FP word order which is
|
| 39 |
|
|
* big endian.
|
| 40 |
|
|
*/
|
| 41 |
|
|
|
| 42 |
|
|
#if (__BYTE_ORDER == __BIG_ENDIAN) || defined(__arm__)
|
| 43 |
|
|
|
| 44 |
|
|
typedef union
|
| 45 |
|
|
{
|
| 46 |
|
|
double value;
|
| 47 |
|
|
struct
|
| 48 |
|
|
{
|
| 49 |
|
|
u_int32_t msw;
|
| 50 |
|
|
u_int32_t lsw;
|
| 51 |
|
|
} parts;
|
| 52 |
|
|
} ieee_double_shape_type;
|
| 53 |
|
|
|
| 54 |
|
|
#endif
|
| 55 |
|
|
|
| 56 |
|
|
#if (__BYTE_ORDER == __LITTLE_ENDIAN) && !defined(__arm__)
|
| 57 |
|
|
|
| 58 |
|
|
typedef union
|
| 59 |
|
|
{
|
| 60 |
|
|
double value;
|
| 61 |
|
|
struct
|
| 62 |
|
|
{
|
| 63 |
|
|
u_int32_t lsw;
|
| 64 |
|
|
u_int32_t msw;
|
| 65 |
|
|
} parts;
|
| 66 |
|
|
} ieee_double_shape_type;
|
| 67 |
|
|
|
| 68 |
|
|
#endif
|
| 69 |
|
|
|
| 70 |
|
|
/* Get two 32 bit ints from a double. */
|
| 71 |
|
|
|
| 72 |
|
|
#define EXTRACT_WORDS(ix0,ix1,d) \
|
| 73 |
|
|
do { \
|
| 74 |
|
|
ieee_double_shape_type ew_u; \
|
| 75 |
|
|
ew_u.value = (d); \
|
| 76 |
|
|
(ix0) = ew_u.parts.msw; \
|
| 77 |
|
|
(ix1) = ew_u.parts.lsw; \
|
| 78 |
|
|
} while (0)
|
| 79 |
|
|
|
| 80 |
|
|
/* Get the more significant 32 bit int from a double. */
|
| 81 |
|
|
|
| 82 |
|
|
#define GET_HIGH_WORD(i,d) \
|
| 83 |
|
|
do { \
|
| 84 |
|
|
ieee_double_shape_type gh_u; \
|
| 85 |
|
|
gh_u.value = (d); \
|
| 86 |
|
|
(i) = gh_u.parts.msw; \
|
| 87 |
|
|
} while (0)
|
| 88 |
|
|
|
| 89 |
|
|
/* Get the less significant 32 bit int from a double. */
|
| 90 |
|
|
|
| 91 |
|
|
#define GET_LOW_WORD(i,d) \
|
| 92 |
|
|
do { \
|
| 93 |
|
|
ieee_double_shape_type gl_u; \
|
| 94 |
|
|
gl_u.value = (d); \
|
| 95 |
|
|
(i) = gl_u.parts.lsw; \
|
| 96 |
|
|
} while (0)
|
| 97 |
|
|
|
| 98 |
|
|
/* Set a double from two 32 bit ints. */
|
| 99 |
|
|
|
| 100 |
|
|
#define INSERT_WORDS(d,ix0,ix1) \
|
| 101 |
|
|
do { \
|
| 102 |
|
|
ieee_double_shape_type iw_u; \
|
| 103 |
|
|
iw_u.parts.msw = (ix0); \
|
| 104 |
|
|
iw_u.parts.lsw = (ix1); \
|
| 105 |
|
|
(d) = iw_u.value; \
|
| 106 |
|
|
} while (0)
|
| 107 |
|
|
|
| 108 |
|
|
/* Set the more significant 32 bits of a double from an int. */
|
| 109 |
|
|
|
| 110 |
|
|
#define SET_HIGH_WORD(d,v) \
|
| 111 |
|
|
do { \
|
| 112 |
|
|
ieee_double_shape_type sh_u; \
|
| 113 |
|
|
sh_u.value = (d); \
|
| 114 |
|
|
sh_u.parts.msw = (v); \
|
| 115 |
|
|
(d) = sh_u.value; \
|
| 116 |
|
|
} while (0)
|
| 117 |
|
|
|
| 118 |
|
|
/* Set the less significant 32 bits of a double from an int. */
|
| 119 |
|
|
|
| 120 |
|
|
#define SET_LOW_WORD(d,v) \
|
| 121 |
|
|
do { \
|
| 122 |
|
|
ieee_double_shape_type sl_u; \
|
| 123 |
|
|
sl_u.value = (d); \
|
| 124 |
|
|
sl_u.parts.lsw = (v); \
|
| 125 |
|
|
(d) = sl_u.value; \
|
| 126 |
|
|
} while (0)
|
| 127 |
|
|
|
| 128 |
|
|
/* A union which permits us to convert between a float and a 32 bit
|
| 129 |
|
|
int. */
|
| 130 |
|
|
|
| 131 |
|
|
typedef union
|
| 132 |
|
|
{
|
| 133 |
|
|
float value;
|
| 134 |
|
|
u_int32_t word;
|
| 135 |
|
|
} ieee_float_shape_type;
|
| 136 |
|
|
|
| 137 |
|
|
/* Get a 32 bit int from a float. */
|
| 138 |
|
|
|
| 139 |
|
|
#define GET_FLOAT_WORD(i,d) \
|
| 140 |
|
|
do { \
|
| 141 |
|
|
ieee_float_shape_type gf_u; \
|
| 142 |
|
|
gf_u.value = (d); \
|
| 143 |
|
|
(i) = gf_u.word; \
|
| 144 |
|
|
} while (0)
|
| 145 |
|
|
|
| 146 |
|
|
/* Set a float from a 32 bit int. */
|
| 147 |
|
|
|
| 148 |
|
|
#define SET_FLOAT_WORD(d,i) \
|
| 149 |
|
|
do { \
|
| 150 |
|
|
ieee_float_shape_type sf_u; \
|
| 151 |
|
|
sf_u.word = (i); \
|
| 152 |
|
|
(d) = sf_u.value; \
|
| 153 |
|
|
} while (0)
|
| 154 |
|
|
|
| 155 |
|
|
/* ieee style elementary functions */
|
| 156 |
|
|
extern double __ieee754_sqrt __P((double));
|
| 157 |
|
|
extern double __ieee754_acos __P((double));
|
| 158 |
|
|
extern double __ieee754_acosh __P((double));
|
| 159 |
|
|
extern double __ieee754_log __P((double));
|
| 160 |
|
|
extern double __ieee754_atanh __P((double));
|
| 161 |
|
|
extern double __ieee754_asin __P((double));
|
| 162 |
|
|
extern double __ieee754_atan2 __P((double,double));
|
| 163 |
|
|
extern double __ieee754_exp __P((double));
|
| 164 |
|
|
extern double __ieee754_cosh __P((double));
|
| 165 |
|
|
extern double __ieee754_fmod __P((double,double));
|
| 166 |
|
|
extern double __ieee754_pow __P((double,double));
|
| 167 |
|
|
extern double __ieee754_lgamma_r __P((double,int *));
|
| 168 |
|
|
extern double __ieee754_gamma_r __P((double,int *));
|
| 169 |
|
|
extern double __ieee754_lgamma __P((double));
|
| 170 |
|
|
extern double __ieee754_gamma __P((double));
|
| 171 |
|
|
extern double __ieee754_log10 __P((double));
|
| 172 |
|
|
extern double __ieee754_sinh __P((double));
|
| 173 |
|
|
extern double __ieee754_hypot __P((double,double));
|
| 174 |
|
|
extern double __ieee754_j0 __P((double));
|
| 175 |
|
|
extern double __ieee754_j1 __P((double));
|
| 176 |
|
|
extern double __ieee754_y0 __P((double));
|
| 177 |
|
|
extern double __ieee754_y1 __P((double));
|
| 178 |
|
|
extern double __ieee754_jn __P((int,double));
|
| 179 |
|
|
extern double __ieee754_yn __P((int,double));
|
| 180 |
|
|
extern double __ieee754_remainder __P((double,double));
|
| 181 |
|
|
extern int __ieee754_rem_pio2 __P((double,double*));
|
| 182 |
|
|
#if defined(_SCALB_INT)
|
| 183 |
|
|
extern double __ieee754_scalb __P((double,int));
|
| 184 |
|
|
#else
|
| 185 |
|
|
extern double __ieee754_scalb __P((double,double));
|
| 186 |
|
|
#endif
|
| 187 |
|
|
|
| 188 |
|
|
/* fdlibm kernel function */
|
| 189 |
|
|
extern double __kernel_standard __P((double,double,int));
|
| 190 |
|
|
extern double __kernel_sin __P((double,double,int));
|
| 191 |
|
|
extern double __kernel_cos __P((double,double));
|
| 192 |
|
|
extern double __kernel_tan __P((double,double,int));
|
| 193 |
|
|
extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
|
| 194 |
|
|
|
| 195 |
|
|
|
| 196 |
|
|
/* ieee style elementary float functions */
|
| 197 |
|
|
extern float __ieee754_sqrtf __P((float));
|
| 198 |
|
|
extern float __ieee754_acosf __P((float));
|
| 199 |
|
|
extern float __ieee754_acoshf __P((float));
|
| 200 |
|
|
extern float __ieee754_logf __P((float));
|
| 201 |
|
|
extern float __ieee754_atanhf __P((float));
|
| 202 |
|
|
extern float __ieee754_asinf __P((float));
|
| 203 |
|
|
extern float __ieee754_atan2f __P((float,float));
|
| 204 |
|
|
extern float __ieee754_expf __P((float));
|
| 205 |
|
|
extern float __ieee754_coshf __P((float));
|
| 206 |
|
|
extern float __ieee754_fmodf __P((float,float));
|
| 207 |
|
|
extern float __ieee754_powf __P((float,float));
|
| 208 |
|
|
extern float __ieee754_lgammaf_r __P((float,int *));
|
| 209 |
|
|
extern float __ieee754_gammaf_r __P((float,int *));
|
| 210 |
|
|
extern float __ieee754_lgammaf __P((float));
|
| 211 |
|
|
extern float __ieee754_gammaf __P((float));
|
| 212 |
|
|
extern float __ieee754_log10f __P((float));
|
| 213 |
|
|
extern float __ieee754_sinhf __P((float));
|
| 214 |
|
|
extern float __ieee754_hypotf __P((float,float));
|
| 215 |
|
|
extern float __ieee754_j0f __P((float));
|
| 216 |
|
|
extern float __ieee754_j1f __P((float));
|
| 217 |
|
|
extern float __ieee754_y0f __P((float));
|
| 218 |
|
|
extern float __ieee754_y1f __P((float));
|
| 219 |
|
|
extern float __ieee754_jnf __P((int,float));
|
| 220 |
|
|
extern float __ieee754_ynf __P((int,float));
|
| 221 |
|
|
extern float __ieee754_remainderf __P((float,float));
|
| 222 |
|
|
extern int __ieee754_rem_pio2f __P((float,float*));
|
| 223 |
|
|
extern float __ieee754_scalbf __P((float,float));
|
| 224 |
|
|
|
| 225 |
|
|
/* float versions of fdlibm kernel functions */
|
| 226 |
|
|
extern float __kernel_sinf __P((float,float,int));
|
| 227 |
|
|
extern float __kernel_cosf __P((float,float));
|
| 228 |
|
|
extern float __kernel_tanf __P((float,float,int));
|
| 229 |
|
|
extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
|
| 230 |
|
|
|
| 231 |
|
|
#endif /* _MATH_PRIVATE_H_ */
|