1 2 /* @(#)fdlibm.h 5.1 93/09/24 */ 3 /* 4 * ==================================================== 5 * Copyright (C) 1993, 2000 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunPro, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 */ 13 14 15 #include <config.h> 16 #include <stdlib.h> 17 18 /* GCJ LOCAL: Include files. */ 19 #include "ieeefp.h" 20 21 #include "mprec.h" 22 23 /* CYGNUS LOCAL: Default to XOPEN_MODE. */ 24 #define _XOPEN_MODE 25 26 #ifdef __P 27 #undef __P 28 #endif 29 30 #ifdef __STDC__ 31 #define __P(p) p 32 #else 33 #define __P(p) () 34 #endif 35 36 #ifndef HUGE 37 #define HUGE ((float)3.40282346638528860e+38) 38 #endif 39 40 /* 41 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 42 * (one may replace the following line by "#include <values.h>") 43 */ 44 45 #define X_TLOSS 1.41484755040568800000e+16 46 47 /* These typedefs are true for the targets running Java. */ 48 49 #define _IEEE_LIBM 50 51 #ifdef __cplusplus 52 extern "C" { 53 #endif 54 55 /* 56 * ANSI/POSIX 57 */ 58 extern double acos __P((double)); 59 extern double asin __P((double)); 60 extern double atan __P((double)); 61 extern double atan2 __P((double, double)); 62 extern double cos __P((double)); 63 extern double sin __P((double)); 64 extern double tan __P((double)); 65 66 extern double cosh __P((double)); 67 extern double sinh __P((double)); 68 extern double tanh __P((double)); 69 70 extern double exp __P((double)); 71 extern double frexp __P((double, int *)); 72 extern double ldexp __P((double, int)); 73 extern double log __P((double)); 74 extern double log10 __P((double)); 75 extern double modf __P((double, double *)); 76 77 extern double pow __P((double, double)); 78 extern double sqrt __P((double)); 79 80 extern double ceil __P((double)); 81 extern double fabs __P((double)); 82 extern double floor __P((double)); 83 extern double fmod __P((double, double)); 84 85 extern double erf __P((double)); 86 extern double erfc __P((double)); 87 extern double gamma __P((double)); 88 extern double hypot __P((double, double)); 89 extern int isnan __P((double)); 90 extern int finite __P((double)); 91 extern double j0 __P((double)); 92 extern double j1 __P((double)); 93 extern double jn __P((int, double)); 94 extern double lgamma __P((double)); 95 extern double y0 __P((double)); 96 extern double y1 __P((double)); 97 extern double yn __P((int, double)); 98 99 extern double acosh __P((double)); 100 extern double asinh __P((double)); 101 extern double atanh __P((double)); 102 extern double cbrt __P((double)); 103 extern double logb __P((double)); 104 extern double nextafter __P((double, double)); 105 extern double remainder __P((double, double)); 106 107 /* Functions that are not documented, and are not in <math.h>. */ 108 109 extern double logb __P((double)); 110 #ifdef _SCALB_INT 111 extern double scalb __P((double, int)); 112 #else 113 extern double scalb __P((double, double)); 114 #endif 115 extern double significand __P((double)); 116 117 /* ieee style elementary functions */ 118 extern double __ieee754_sqrt __P((double)); 119 extern double __ieee754_acos __P((double)); 120 extern double __ieee754_acosh __P((double)); 121 extern double __ieee754_log __P((double)); 122 extern double __ieee754_atanh __P((double)); 123 extern double __ieee754_asin __P((double)); 124 extern double __ieee754_atan2 __P((double,double)); 125 extern double __ieee754_exp __P((double)); 126 extern double __ieee754_cosh __P((double)); 127 extern double __ieee754_fmod __P((double,double)); 128 extern double __ieee754_pow __P((double,double)); 129 extern double __ieee754_lgamma_r __P((double,int *)); 130 extern double __ieee754_gamma_r __P((double,int *)); 131 extern double __ieee754_log10 __P((double)); 132 extern double __ieee754_sinh __P((double)); 133 extern double __ieee754_hypot __P((double,double)); 134 extern double __ieee754_j0 __P((double)); 135 extern double __ieee754_j1 __P((double)); 136 extern double __ieee754_y0 __P((double)); 137 extern double __ieee754_y1 __P((double)); 138 extern double __ieee754_jn __P((int,double)); 139 extern double __ieee754_yn __P((int,double)); 140 extern double __ieee754_remainder __P((double,double)); 141 extern int32_t __ieee754_rem_pio2 __P((double,double*)); 142 #ifdef _SCALB_INT 143 extern double __ieee754_scalb __P((double,int)); 144 #else 145 extern double __ieee754_scalb __P((double,double)); 146 #endif 147 148 /* fdlibm kernel function */ 149 extern double __kernel_standard __P((double,double,int)); 150 extern double __kernel_sin __P((double,double,int)); 151 extern double __kernel_cos __P((double,double)); 152 extern double __kernel_tan __P((double,double,int)); 153 extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int32_t*)); 154 155 /* Undocumented float functions. */ 156 extern float logbf __P((float)); 157 #ifdef _SCALB_INT 158 extern float scalbf __P((float, int)); 159 #else 160 extern float scalbf __P((float, float)); 161 #endif 162 extern float significandf __P((float)); 163 164 /* 165 * Functions callable from C, intended to support IEEE arithmetic. 166 */ 167 extern double copysign __P((double, double)); 168 extern int ilogb __P((double)); 169 extern double rint __P((double)); 170 extern float rintf __P((float)); 171 extern double scalbn __P((double, int)); 172 173 /* ieee style elementary float functions */ 174 extern float __ieee754_sqrtf __P((float)); 175 extern float __ieee754_acosf __P((float)); 176 extern float __ieee754_acoshf __P((float)); 177 extern float __ieee754_logf __P((float)); 178 extern float __ieee754_atanhf __P((float)); 179 extern float __ieee754_asinf __P((float)); 180 extern float __ieee754_atan2f __P((float,float)); 181 extern float __ieee754_expf __P((float)); 182 extern float __ieee754_coshf __P((float)); 183 extern float __ieee754_fmodf __P((float,float)); 184 extern float __ieee754_powf __P((float,float)); 185 extern float __ieee754_lgammaf_r __P((float,int *)); 186 extern float __ieee754_gammaf_r __P((float,int *)); 187 extern float __ieee754_log10f __P((float)); 188 extern float __ieee754_sinhf __P((float)); 189 extern float __ieee754_hypotf __P((float,float)); 190 extern float __ieee754_j0f __P((float)); 191 extern float __ieee754_j1f __P((float)); 192 extern float __ieee754_y0f __P((float)); 193 extern float __ieee754_y1f __P((float)); 194 extern float __ieee754_jnf __P((int,float)); 195 extern float __ieee754_ynf __P((int,float)); 196 extern float __ieee754_remainderf __P((float,float)); 197 extern int32_t __ieee754_rem_pio2f __P((float,float*)); 198 #ifdef _SCALB_INT 199 extern float __ieee754_scalbf __P((float,int)); 200 #else 201 extern float __ieee754_scalbf __P((float,float)); 202 #endif 203 204 /* float versions of fdlibm kernel functions */ 205 extern float __kernel_sinf __P((float,float,int)); 206 extern float __kernel_cosf __P((float,float)); 207 extern float __kernel_tanf __P((float,float,int)); 208 extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int32_t*)); 209 210 /* The original code used statements like 211 n0 = ((*(int*)&one)>>29)^1; * index of high word * 212 ix0 = *(n0+(int*)&x); * high word of x * 213 ix1 = *((1-n0)+(int*)&x); * low word of x * 214 to dig two 32 bit words out of the 64 bit IEEE floating point 215 value. That is non-ANSI, and, moreover, the gcc instruction 216 scheduler gets it wrong. We instead use the following macros. 217 Unlike the original code, we determine the endianness at compile 218 time, not at run time; I don't see much benefit to selecting 219 endianness at run time. */ 220 221 #ifndef __IEEE_BIG_ENDIAN 222 #ifndef __IEEE_LITTLE_ENDIAN 223 #error Must define endianness 224 #endif 225 #endif 226 227 /* A union which permits us to convert between a double and two 32 bit 228 ints. */ 229 230 #ifdef __IEEE_BIG_ENDIAN 231 232 typedef union 233 { 234 double value; 235 struct 236 { 237 uint32_t msw; 238 uint32_t lsw; 239 } parts; 240 } ieee_double_shape_type; 241 242 #endif 243 244 #ifdef __IEEE_LITTLE_ENDIAN 245 246 typedef union 247 { 248 double value; 249 struct 250 { 251 uint32_t lsw; 252 uint32_t msw; 253 } parts; 254 } ieee_double_shape_type; 255 256 #endif 257 258 /* Get two 32 bit ints from a double. */ 259 260 #define EXTRACT_WORDS(ix0,ix1,d) \ 261 do { \ 262 ieee_double_shape_type ew_u; \ 263 ew_u.value = (d); \ 264 (ix0) = ew_u.parts.msw; \ 265 (ix1) = ew_u.parts.lsw; \ 266 } while (0) 267 268 /* Get the more significant 32 bit int from a double. */ 269 270 #define GET_HIGH_WORD(i,d) \ 271 do { \ 272 ieee_double_shape_type gh_u; \ 273 gh_u.value = (d); \ 274 (i) = gh_u.parts.msw; \ 275 } while (0) 276 277 /* Get the less significant 32 bit int from a double. */ 278 279 #define GET_LOW_WORD(i,d) \ 280 do { \ 281 ieee_double_shape_type gl_u; \ 282 gl_u.value = (d); \ 283 (i) = gl_u.parts.lsw; \ 284 } while (0) 285 286 /* Set a double from two 32 bit ints. */ 287 288 #define INSERT_WORDS(d,ix0,ix1) \ 289 do { \ 290 ieee_double_shape_type iw_u; \ 291 iw_u.parts.msw = (ix0); \ 292 iw_u.parts.lsw = (ix1); \ 293 (d) = iw_u.value; \ 294 } while (0) 295 296 /* Set the more significant 32 bits of a double from an int. */ 297 298 #define SET_HIGH_WORD(d,v) \ 299 do { \ 300 ieee_double_shape_type sh_u; \ 301 sh_u.value = (d); \ 302 sh_u.parts.msw = (v); \ 303 (d) = sh_u.value; \ 304 } while (0) 305 306 /* Set the less significant 32 bits of a double from an int. */ 307 308 #define SET_LOW_WORD(d,v) \ 309 do { \ 310 ieee_double_shape_type sl_u; \ 311 sl_u.value = (d); \ 312 sl_u.parts.lsw = (v); \ 313 (d) = sl_u.value; \ 314 } while (0) 315 316 /* A union which permits us to convert between a float and a 32 bit 317 int. */ 318 319 typedef union 320 { 321 float value; 322 uint32_t word; 323 } ieee_float_shape_type; 324 325 /* Get a 32 bit int from a float. */ 326 327 #define GET_FLOAT_WORD(i,d) \ 328 do { \ 329 ieee_float_shape_type gf_u; \ 330 gf_u.value = (d); \ 331 (i) = gf_u.word; \ 332 } while (0) 333 334 /* Set a float from a 32 bit int. */ 335 336 #define SET_FLOAT_WORD(d,i) \ 337 do { \ 338 ieee_float_shape_type sf_u; \ 339 sf_u.word = (i); \ 340 (d) = sf_u.value; \ 341 } while (0) 342 343 #ifdef __cplusplus 344 } 345 #endif 346 347