1 /* 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 14968 2005-11-16 18:33:51Z korli $ 15 */ 16 17 #ifndef _MATH_PRIVATE_H_ 18 #define _MATH_PRIVATE_H_ 19 20 #include <endian.h> 21 #include <sys/types.h> 22 #include <stdint.h> 23 24 #ifndef __FLOAT_WORD_ORDER 25 #define __FLOAT_WORD_ORDER __BYTE_ORDER 26 #endif 27 28 /* The original fdlibm code used statements like: 29 n0 = ((*(int*)&one)>>29)^1; * index of high word * 30 ix0 = *(n0+(int*)&x); * high word of x * 31 ix1 = *((1-n0)+(int*)&x); * low word of x * 32 to dig two 32 bit words out of the 64 bit IEEE floating point 33 value. That is non-ANSI, and, moreover, the gcc instruction 34 scheduler gets it wrong. We instead use the following macros. 35 Unlike the original code, we determine the endianness at compile 36 time, not at run time; I don't see much benefit to selecting 37 endianness at run time. */ 38 39 /* A union which permits us to convert between a double and two 32 bit 40 ints. */ 41 42 #if __FLOAT_WORD_ORDER == BIG_ENDIAN 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 __FLOAT_WORD_ORDER == LITTLE_ENDIAN 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 /* Get long double macros from a separate header. */ 156 #include <math_ldbl.h> 157 158 /* ieee style elementary functions */ 159 extern double __ieee754_sqrt (double); 160 extern double __ieee754_acos (double); 161 extern double __ieee754_acosh (double); 162 extern double __ieee754_log (double); 163 extern double __ieee754_atanh (double); 164 extern double __ieee754_asin (double); 165 extern double __ieee754_atan2 (double,double); 166 extern double __ieee754_exp (double); 167 extern double __ieee754_exp2 (double); 168 extern double __ieee754_exp10 (double); 169 extern double __ieee754_cosh (double); 170 extern double __ieee754_fmod (double,double); 171 extern double __ieee754_pow (double,double); 172 extern double __ieee754_lgamma_r (double,int *); 173 extern double __ieee754_gamma_r (double,int *); 174 extern double __ieee754_lgamma (double); 175 extern double __ieee754_gamma (double); 176 extern double __ieee754_log10 (double); 177 extern double __ieee754_log2 (double); 178 extern double __ieee754_sinh (double); 179 extern double __ieee754_hypot (double,double); 180 extern double __ieee754_j0 (double); 181 extern double __ieee754_j1 (double); 182 extern double __ieee754_y0 (double); 183 extern double __ieee754_y1 (double); 184 extern double __ieee754_jn (int,double); 185 extern double __ieee754_yn (int,double); 186 extern double __ieee754_remainder (double,double); 187 extern int32_t __ieee754_rem_pio2 (double,double*); 188 extern double __ieee754_scalb (double,double); 189 190 /* fdlibm kernel function */ 191 extern double __kernel_standard (double,double,int); 192 extern double __kernel_sin (double,double,int); 193 extern double __kernel_cos (double,double); 194 extern double __kernel_tan (double,double,int); 195 extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*); 196 197 /* internal functions. */ 198 extern double __copysign (double x, double __y); 199 200 201 /* ieee style elementary float functions */ 202 extern float __ieee754_sqrtf (float); 203 extern float __ieee754_acosf (float); 204 extern float __ieee754_acoshf (float); 205 extern float __ieee754_logf (float); 206 extern float __ieee754_atanhf (float); 207 extern float __ieee754_asinf (float); 208 extern float __ieee754_atan2f (float,float); 209 extern float __ieee754_expf (float); 210 extern float __ieee754_exp2f (float); 211 extern float __ieee754_exp10f (float); 212 extern float __ieee754_coshf (float); 213 extern float __ieee754_fmodf (float,float); 214 extern float __ieee754_powf (float,float); 215 extern float __ieee754_lgammaf_r (float,int *); 216 extern float __ieee754_gammaf_r (float,int *); 217 extern float __ieee754_lgammaf (float); 218 extern float __ieee754_gammaf (float); 219 extern float __ieee754_log10f (float); 220 extern float __ieee754_log2f (float); 221 extern float __ieee754_sinhf (float); 222 extern float __ieee754_hypotf (float,float); 223 extern float __ieee754_j0f (float); 224 extern float __ieee754_j1f (float); 225 extern float __ieee754_y0f (float); 226 extern float __ieee754_y1f (float); 227 extern float __ieee754_jnf (int,float); 228 extern float __ieee754_ynf (int,float); 229 extern float __ieee754_remainderf (float,float); 230 extern int32_t __ieee754_rem_pio2f (float,float*); 231 extern float __ieee754_scalbf (float,float); 232 233 234 /* float versions of fdlibm kernel functions */ 235 extern float __kernel_sinf (float,float,int); 236 extern float __kernel_cosf (float,float); 237 extern float __kernel_tanf (float,float,int); 238 extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*); 239 240 /* internal functions. */ 241 extern float __copysignf (float x, float __y); 242 243 244 /* ieee style elementary long double functions */ 245 extern long double __ieee754_sqrtl (long double); 246 extern long double __ieee754_acosl (long double); 247 extern long double __ieee754_acoshl (long double); 248 extern long double __ieee754_logl (long double); 249 extern long double __ieee754_atanhl (long double); 250 extern long double __ieee754_asinl (long double); 251 extern long double __ieee754_atan2l (long double,long double); 252 extern long double __ieee754_expl (long double); 253 extern long double __ieee754_exp2l (long double); 254 extern long double __ieee754_exp10l (long double); 255 extern long double __ieee754_coshl (long double); 256 extern long double __ieee754_fmodl (long double,long double); 257 extern long double __ieee754_powl (long double,long double); 258 extern long double __ieee754_lgammal_r (long double,int *); 259 extern long double __ieee754_gammal_r (long double,int *); 260 extern long double __ieee754_lgammal (long double); 261 extern long double __ieee754_gammal (long double); 262 extern long double __ieee754_log10l (long double); 263 extern long double __ieee754_log2l (long double); 264 extern long double __ieee754_sinhl (long double); 265 extern long double __ieee754_hypotl (long double,long double); 266 extern long double __ieee754_j0l (long double); 267 extern long double __ieee754_j1l (long double); 268 extern long double __ieee754_y0l (long double); 269 extern long double __ieee754_y1l (long double); 270 extern long double __ieee754_jnl (int,long double); 271 extern long double __ieee754_ynl (int,long double); 272 extern long double __ieee754_remainderl (long double,long double); 273 extern int32_t __ieee754_rem_pio2l (long double,long double*); 274 extern long double __ieee754_scalbl (long double,long double); 275 276 /* long double versions of fdlibm kernel functions */ 277 extern long double __kernel_sinl (long double,long double,int); 278 extern long double __kernel_cosl (long double,long double); 279 extern long double __kernel_tanl (long double,long double,int); 280 extern void __kernel_sincosl (long double,long double, 281 long double *,long double *, int); 282 extern int __kernel_rem_pio2l (long double*,long double*,int,int, 283 int,const int*); 284 285 #ifndef NO_LONG_DOUBLE 286 /* prototypes required to compile the ldbl-96 support without warnings */ 287 extern int __finitel (long double); 288 extern int __ilogbl (long double); 289 extern int __isinfl (long double); 290 extern int __isnanl (long double); 291 extern long double __atanl (long double); 292 extern long double __copysignl (long double, long double); 293 extern long double __expm1l (long double); 294 extern long double __floorl (long double); 295 extern long double __frexpl (long double, int *); 296 extern long double __ldexpl (long double, int); 297 extern long double __log1pl (long double); 298 extern long double __nanl (const char *); 299 extern long double __rintl (long double); 300 extern long double __scalbnl (long double, int); 301 extern long double __sqrtl (long double x); 302 extern long double fabsl (long double x); 303 extern void __sincosl (long double, long double *, long double *); 304 extern long double __logbl (long double x); 305 extern long double __significandl (long double x); 306 #endif 307 308 /* Prototypes for functions of the IBM Accurate Mathematical Library. */ 309 extern double __exp1 (double __x, double __xx, double __error); 310 extern double __sin (double __x); 311 extern double __cos (double __x); 312 extern int __branred (double __x, double *__a, double *__aa); 313 extern void __doasin (double __x, double __dx, double __v[]); 314 extern void __dubsin (double __x, double __dx, double __v[]); 315 extern void __dubcos (double __x, double __dx, double __v[]); 316 extern double __halfulp (double __x, double __y); 317 extern double __sin32 (double __x, double __res, double __res1); 318 extern double __cos32 (double __x, double __res, double __res1); 319 extern double __mpsin (double __x, double __dx); 320 extern double __mpcos (double __x, double __dx); 321 extern double __mpsin1 (double __x); 322 extern double __mpcos1 (double __x); 323 extern double __slowexp (double __x); 324 extern double __slowpow (double __x, double __y, double __z); 325 extern void __docos (double __x, double __dx, double __v[]); 326 327 #endif /* _MATH_PRIVATE_H_ */ 328