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 * $FreeBSD: src/lib/msun/src/math.h,v 1.61 2005/04/16 21:12:47 das Exp $ 15 */ 16 17 #ifndef _MATH_H_ 18 #define _MATH_H_ 19 20 #include <sys/cdefs.h> 21 #include <sys/types.h> 22 #include <limits.h> 23 24 #define __pure2 25 26 /* 27 * ANSI/POSIX 28 */ 29 extern const union __infinity_un { 30 unsigned char __uc[8]; 31 double __ud; 32 } __infinity; 33 34 extern const union __nan_un { 35 unsigned char __uc[sizeof(float)]; 36 float __uf; 37 } __nan; 38 39 /* #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) */ 40 #if 1 41 #define __MATH_BUILTIN_CONSTANTS 42 #endif 43 44 /* #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) */ 45 #if 1 46 #define __MATH_BUILTIN_RELOPS 47 #endif 48 49 /* #ifdef __MATH_BUILTIN_CONSTANTS */ 50 #if 1 51 #define HUGE_VAL __builtin_huge_val() 52 #else 53 #define HUGE_VAL (__infinity.__ud) 54 #endif 55 56 /* #if __ISO_C_VISIBLE >= 1999 */ 57 #if 0 58 #define FP_ILOGB0 (-__INT_MAX) 59 #define FP_ILOGBNAN __INT_MAX 60 #else 61 #define FP_ILOGB0 (-INT_MAX) 62 #define FP_ILOGBNAN INT_MAX 63 #endif 64 65 #ifdef __MATH_BUILTIN_CONSTANTS 66 #define HUGE_VALF __builtin_huge_valf() 67 #define HUGE_VALL __builtin_huge_vall() 68 #define INFINITY __builtin_inf() 69 #define NAN __builtin_nan("") 70 #else 71 #define HUGE_VALF (float)HUGE_VAL 72 #define HUGE_VALL (long double)HUGE_VAL 73 #define INFINITY HUGE_VALF 74 #define NAN (__nan.__uf) 75 #endif /* __MATH_BUILTIN_CONSTANTS */ 76 77 #define MATH_ERRNO 1 78 #define MATH_ERREXCEPT 2 79 #define math_errhandling MATH_ERREXCEPT 80 81 /* XXX We need a <machine/math.h>. */ 82 #if defined(__ia64__) || defined(__sparc64__) 83 #define FP_FAST_FMA 84 #endif 85 #ifdef __ia64__ 86 #define FP_FAST_FMAL 87 #endif 88 #define FP_FAST_FMAF 89 90 /* Symbolic constants to classify floating point numbers. */ 91 #define FP_INFINITE 0x01 92 #define FP_NAN 0x02 93 #define FP_NORMAL 0x04 94 #define FP_SUBNORMAL 0x08 95 #define FP_ZERO 0x10 96 #define fpclassify(x) \ 97 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 98 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 99 : __fpclassifyl(x)) 100 101 #define isfinite(x) \ 102 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 103 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 104 : __isfinitel(x)) 105 #define isinf(x) \ 106 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 107 : (sizeof (x) == sizeof (double)) ? __isinf(x) \ 108 : __isinfl(x)) 109 #define isnan(x) \ 110 ((sizeof (x) == sizeof (float)) ? isnanf(x) \ 111 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 112 : __isnanl(x)) 113 #define isnormal(x) \ 114 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 115 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 116 : __isnormall(x)) 117 118 #ifdef __MATH_BUILTIN_RELOPS 119 #define isgreater(x, y) __builtin_isgreater((x), (y)) 120 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 121 #define isless(x, y) __builtin_isless((x), (y)) 122 #define islessequal(x, y) __builtin_islessequal((x), (y)) 123 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 124 #define isunordered(x, y) __builtin_isunordered((x), (y)) 125 #else 126 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 127 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 128 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 129 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 130 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 131 ((x) > (y) || (y) > (x))) 132 #define isunordered(x, y) (isnan(x) || isnan(y)) 133 #endif /* __MATH_BUILTIN_RELOPS */ 134 135 #define signbit(x) \ 136 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 137 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 138 : __signbitl(x)) 139 140 #if 0 141 typedef __double_t double_t; 142 typedef __float_t float_t; 143 #endif 144 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 145 146 /* 147 * XOPEN/SVID 148 */ 149 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 150 #define M_E 2.7182818284590452354 /* e */ 151 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 152 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 153 #define M_LN2 0.69314718055994530942 /* log e2 */ 154 #define M_LN10 2.30258509299404568402 /* log e10 */ 155 #define M_PI 3.14159265358979323846 /* pi */ 156 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 157 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 158 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 159 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 160 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 161 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 162 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 163 164 #define MAXFLOAT ((float)3.40282346638528860e+38) 165 extern int signgam; 166 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 167 168 #if __BSD_VISIBLE 169 #if 0 170 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 171 #define HUGE HUGE_VAL 172 #else 173 #define HUGE MAXFLOAT 174 #endif 175 #endif /* __BSD_VISIBLE */ 176 177 /* 178 * Most of these functions depend on the rounding mode and have the side 179 * effect of raising floating-point exceptions, so they are not declared 180 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 181 */ 182 __BEGIN_DECLS 183 /* 184 * ANSI/POSIX 185 */ 186 int __fpclassifyd(double) __pure2; 187 int __fpclassifyf(float) __pure2; 188 int __fpclassifyl(long double) __pure2; 189 int __isfinitef(float) __pure2; 190 int __isfinite(double) __pure2; 191 int __isfinitel(long double) __pure2; 192 int __isinff(float) __pure2; 193 int __isinf(double) __pure2; 194 int __isinfl(long double) __pure2; 195 int __isnanl(long double) __pure2; 196 int __isnormalf(float) __pure2; 197 int __isnormal(double) __pure2; 198 int __isnormall(long double) __pure2; 199 int __signbit(double) __pure2; 200 int __signbitf(float) __pure2; 201 int __signbitl(long double) __pure2; 202 203 double acos(double); 204 double asin(double); 205 double atan(double); 206 double atan2(double, double); 207 double cos(double); 208 double sin(double); 209 double tan(double); 210 211 double cosh(double); 212 double sinh(double); 213 double tanh(double); 214 215 double exp(double); 216 double frexp(double, int *); /* fundamentally !__pure2 */ 217 double ldexp(double, int); 218 double log(double); 219 double log10(double); 220 double modf(double, double *); /* fundamentally !__pure2 */ 221 222 double pow(double, double); 223 double sqrt(double); 224 225 double ceil(double); 226 double fabs(double) __pure2; 227 double floor(double); 228 double fmod(double, double); 229 230 /* 231 * These functions are not in C90. 232 */ 233 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 234 double acosh(double); 235 double asinh(double); 236 double atanh(double); 237 double cbrt(double); 238 double erf(double); 239 double erfc(double); 240 double exp2(double); 241 double expm1(double); 242 double fma(double, double, double); 243 double hypot(double, double); 244 int ilogb(double) __pure2; 245 /* int (isinf)(double) __pure2; */ 246 int (isnan)(double) __pure2; 247 double lgamma(double); 248 long long llrint(double); 249 long long llround(double); 250 double log1p(double); 251 double logb(double); 252 long lrint(double); 253 long lround(double); 254 double nextafter(double, double); 255 double remainder(double, double); 256 double remquo(double, double, int *); 257 double rint(double); 258 /* #endif */ /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 259 260 /* #if __BSD_VISIBLE || __XSI_VISIBLE */ 261 double j0(double); 262 double j1(double); 263 double jn(int, double); 264 double scalb(double, double); 265 double y0(double); 266 double y1(double); 267 double yn(int, double); 268 269 /* #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE */ 270 double gamma(double); 271 /* #endif */ 272 /* #endif */ /* __BSD_VISIBLE || __XSI_VISIBLE */ 273 274 /* #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 */ 275 double copysign(double, double) __pure2; 276 double fdim(double, double); 277 double fmax(double, double) __pure2; 278 double fmin(double, double) __pure2; 279 double nearbyint(double); 280 double round(double); 281 double scalbln(double, long); 282 double scalbn(double, int); 283 double tgamma(double); 284 double trunc(double); 285 /* #endif */ 286 287 /* 288 * BSD math library entry points 289 */ 290 /* #if __BSD_VISIBLE */ 291 double drem(double, double); 292 int finite(double) __pure2; 293 int isnanf(float) __pure2; 294 295 /* 296 * Reentrant version of gamma & lgamma; passes signgam back by reference 297 * as the second argument; user must allocate space for signgam. 298 */ 299 double gamma_r(double, int *); 300 double lgamma_r(double, int *); 301 302 /* 303 * IEEE Test Vector 304 */ 305 double significand(double); 306 /* #endif */ /* __BSD_VISIBLE */ 307 308 /* float versions of ANSI/POSIX functions */ 309 /*#if __ISO_C_VISIBLE >= 1999 */ 310 float acosf(float); 311 float asinf(float); 312 float atanf(float); 313 float atan2f(float, float); 314 float cosf(float); 315 float sinf(float); 316 float tanf(float); 317 318 float coshf(float); 319 float sinhf(float); 320 float tanhf(float); 321 322 float exp2f(float); 323 float expf(float); 324 float expm1f(float); 325 float frexpf(float, int *); /* fundamentally !__pure2 */ 326 int ilogbf(float) __pure2; 327 float ldexpf(float, int); 328 float log10f(float); 329 float log1pf(float); 330 float logf(float); 331 float modff(float, float *); /* fundamentally !__pure2 */ 332 333 float powf(float, float); 334 float sqrtf(float); 335 336 float ceilf(float); 337 float fabsf(float) __pure2; 338 float floorf(float); 339 float fmodf(float, float); 340 float roundf(float); 341 342 float erff(float); 343 float erfcf(float); 344 float hypotf(float, float); 345 float lgammaf(float); 346 347 float acoshf(float); 348 float asinhf(float); 349 float atanhf(float); 350 float cbrtf(float); 351 float logbf(float); 352 float copysignf(float, float) __pure2; 353 long long llrintf(float); 354 long long llroundf(float); 355 long lrintf(float); 356 long lroundf(float); 357 float nearbyintf(float); 358 float nextafterf(float, float); 359 float remainderf(float, float); 360 float remquof(float, float, int *); 361 float rintf(float); 362 float scalblnf(float, long); 363 float scalbnf(float, int); 364 float truncf(float); 365 366 float fdimf(float, float); 367 float fmaf(float, float, float); 368 float fmaxf(float, float) __pure2; 369 float fminf(float, float) __pure2; 370 /* #endif */ 371 372 /* 373 * float versions of BSD math library entry points 374 */ 375 /* #if __BSD_VISIBLE */ 376 float dremf(float, float); 377 int finitef(float) __pure2; 378 float gammaf(float); 379 float j0f(float); 380 float j1f(float); 381 float jnf(int, float); 382 float scalbf(float, float); 383 float y0f(float); 384 float y1f(float); 385 float ynf(int, float); 386 387 /* 388 * Float versions of reentrant version of gamma & lgamma; passes 389 * signgam back by reference as the second argument; user must 390 * allocate space for signgam. 391 */ 392 float gammaf_r(float, int *); 393 float lgammaf_r(float, int *); 394 395 /* 396 * float version of IEEE Test Vector 397 */ 398 float significandf(float); 399 /* #endif */ /* __BSD_VISIBLE */ 400 401 /* 402 * long double versions of ISO/POSIX math functions 403 */ 404 /* #if __ISO_C_VISIBLE >= 1999 */ 405 #if 0 406 long double acoshl(long double); 407 long double acosl(long double); 408 long double asinhl(long double); 409 long double asinl(long double); 410 long double atan2l(long double, long double); 411 long double atanhl(long double); 412 long double atanl(long double); 413 long double cbrtl(long double); 414 #endif 415 long double ceill(long double); 416 long double copysignl(long double, long double) __pure2; 417 #if 0 418 long double coshl(long double); 419 long double cosl(long double); 420 long double erfcl(long double); 421 long double erfl(long double); 422 long double exp2l(long double); 423 long double expl(long double); 424 long double expm1l(long double); 425 #endif 426 long double fabsl(long double) __pure2; 427 long double fdiml(long double, long double); 428 long double floorl(long double); 429 long double fmal(long double, long double, long double); 430 long double fmaxl(long double, long double) __pure2; 431 long double fminl(long double, long double) __pure2; 432 #if 0 433 long double fmodl(long double, long double); 434 #endif 435 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 436 #if 0 437 long double hypotl(long double, long double); 438 #endif 439 int ilogbl(long double) __pure2; 440 long double ldexpl(long double, int); 441 #if 0 442 long double lgammal(long double); 443 long long llrintl(long double); 444 #endif 445 long long llroundl(long double); 446 #if 0 447 long double log10l(long double); 448 long double log1pl(long double); 449 long double log2l(long double); 450 long double logbl(long double); 451 long double logl(long double); 452 long lrintl(long double); 453 #endif 454 long lroundl(long double); 455 #if 0 456 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 457 long double nanl(const char *) __pure2; 458 long double nearbyintl(long double); 459 #endif 460 long double nextafterl(long double, long double); 461 double nexttoward(double, long double); 462 float nexttowardf(float, long double); 463 long double nexttowardl(long double, long double); 464 #if 0 465 long double powl(long double, long double); 466 long double remainderl(long double, long double); 467 long double remquol(long double, long double, int *); 468 long double rintl(long double); 469 #endif 470 long double roundl(long double); 471 long double scalblnl(long double, long); 472 long double scalbnl(long double, int); 473 #if 0 474 long double sinhl(long double); 475 long double sinl(long double); 476 long double sqrtl(long double); 477 long double tanhl(long double); 478 long double tanl(long double); 479 long double tgammal(long double); 480 #endif 481 long double truncl(long double); 482 483 /* #endif */ /* __ISO_C_VISIBLE >= 1999 */ 484 __END_DECLS 485 486 #endif /* !_MATH_H_ */ 487