1 /* $OpenBSD: math.h,v 1.31 2012/12/05 23:19:57 deraadt Exp $ */ 2 /* 3 * ==================================================== 4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 5 * 6 * Developed at SunPro, a Sun Microsystems, Inc. business. 7 * Permission to use, copy, modify, and distribute this 8 * software is freely granted, provided that this notice 9 * is preserved. 10 * ==================================================== 11 */ 12 13 /* 14 * from: @(#)fdlibm.h 5.1 93/09/24 15 */ 16 17 #ifndef _MATH_H_ 18 #define _MATH_H_ 19 20 #include <sys/_types.h> 21 #include <sys/limits.h> 22 23 __BEGIN_DECLS 24 /* 25 * ANSI/POSIX 26 */ 27 extern char __infinity[]; 28 #if __GNUC_PREREQ__(3, 3) 29 #define HUGE_VAL __builtin_huge_val() 30 #else /* __GNUC_PREREQ__(3, 3) */ 31 #define HUGE_VAL (*(double *)(void *)__infinity) 32 #endif /* __GNUC_PREREQ__(3, 3) */ 33 34 /* 35 * C99 36 */ 37 #if __ISO_C_VISIBLE >= 1999 38 typedef __double_t double_t; 39 typedef __float_t float_t; 40 41 #if __GNUC_PREREQ__(3, 3) 42 #define HUGE_VALF __builtin_huge_valf() 43 #define HUGE_VALL __builtin_huge_vall() 44 #define INFINITY __builtin_inff() 45 #define NAN __builtin_nanf("") 46 #else /* __GNUC_PREREQ__(3, 3) */ 47 #ifdef __vax__ 48 extern char __infinityf[]; 49 #define HUGE_VALF (*(float *)(void *)__infinityf) 50 #else /* __vax__ */ 51 #define HUGE_VALF ((float)HUGE_VAL) 52 #endif /* __vax__ */ 53 #define HUGE_VALL ((long double)HUGE_VAL) 54 #define INFINITY HUGE_VALF 55 #ifndef __vax__ 56 extern char __nan[]; 57 #define NAN (*(float *)(void *)__nan) 58 #endif /* !__vax__ */ 59 #endif /* __GNUC_PREREQ__(3, 3) */ 60 61 #define FP_INFINITE 0x01 62 #define FP_NAN 0x02 63 #define FP_NORMAL 0x04 64 #define FP_SUBNORMAL 0x08 65 #define FP_ZERO 0x10 66 67 #define FP_ILOGB0 (-INT_MAX) 68 #define FP_ILOGBNAN INT_MAX 69 70 #define fpclassify(x) \ 71 ((sizeof (x) == sizeof (float)) ? \ 72 __fpclassifyf(x) \ 73 : (sizeof (x) == sizeof (double)) ? \ 74 __fpclassify(x) \ 75 : __fpclassifyl(x)) 76 #define isfinite(x) \ 77 ((sizeof (x) == sizeof (float)) ? \ 78 __isfinitef(x) \ 79 : (sizeof (x) == sizeof (double)) ? \ 80 __isfinite(x) \ 81 : __isfinitel(x)) 82 #define isnormal(x) \ 83 ((sizeof (x) == sizeof (float)) ? \ 84 __isnormalf(x) \ 85 : (sizeof (x) == sizeof (double)) ? \ 86 __isnormal(x) \ 87 : __isnormall(x)) 88 #define signbit(x) \ 89 ((sizeof (x) == sizeof (float)) ? \ 90 __signbitf(x) \ 91 : (sizeof (x) == sizeof (double)) ? \ 92 __signbit(x) \ 93 : __signbitl(x)) 94 95 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 96 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 97 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 98 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 99 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 100 ((x) > (y) || (y) > (x))) 101 #define isunordered(x, y) (isnan(x) || isnan(y)) 102 #endif /* __ISO_C_VISIBLE >= 1999 */ 103 104 #define isinf(x) \ 105 ((sizeof (x) == sizeof (float)) ? \ 106 __isinff(x) \ 107 : (sizeof (x) == sizeof (double)) ? \ 108 __isinf(x) \ 109 : __isinfl(x)) 110 #define isnan(x) \ 111 ((sizeof (x) == sizeof (float)) ? \ 112 __isnanf(x) \ 113 : (sizeof (x) == sizeof (double)) ? \ 114 __isnan(x) \ 115 : __isnanl(x)) 116 117 /* 118 * XOPEN/SVID 119 */ 120 #if __BSD_VISIBLE || __XPG_VISIBLE 121 #define M_E 2.7182818284590452354 /* e */ 122 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 123 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 124 #define M_LN2 0.69314718055994530942 /* log e2 */ 125 #define M_LN10 2.30258509299404568402 /* log e10 */ 126 #define M_PI 3.14159265358979323846 /* pi */ 127 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 128 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 129 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 130 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 131 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 132 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 133 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 134 135 #ifdef __vax__ 136 #define MAXFLOAT ((float)1.70141173319264430e+38) 137 #else 138 #define MAXFLOAT ((float)3.40282346638528860e+38) 139 #endif /* __vax__ */ 140 141 extern int signgam; 142 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 143 144 #if __BSD_VISIBLE 145 #define HUGE MAXFLOAT 146 #endif /* __BSD_VISIBLE */ 147 148 /* 149 * ANSI/POSIX 150 */ 151 double acos(double); 152 double asin(double); 153 double atan(double); 154 double atan2(double, double); 155 double cos(double); 156 double sin(double); 157 double tan(double); 158 159 double cosh(double); 160 double sinh(double); 161 double tanh(double); 162 163 double exp(double); 164 double frexp(double, int *); 165 double ldexp(double, int); 166 double log(double); 167 double log10(double); 168 double modf(double, double *); 169 170 double pow(double, double); 171 double sqrt(double); 172 173 double ceil(double); 174 double fabs(double); 175 double floor(double); 176 double fmod(double, double); 177 178 /* 179 * C99 180 */ 181 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE 182 double acosh(double); 183 double asinh(double); 184 double atanh(double); 185 186 double exp2(double); 187 double expm1(double); 188 int ilogb(double); 189 double log1p(double); 190 double log2(double); 191 double logb(double); 192 double scalbn(double, int); 193 double scalbln(double, long int); 194 195 double cbrt(double); 196 double hypot(double, double); 197 198 double erf(double); 199 double erfc(double); 200 double lgamma(double); 201 double tgamma(double); 202 203 double nearbyint(double); 204 double rint(double); 205 long int lrint(double); 206 long long int llrint(double); 207 double round(double); 208 long int lround(double); 209 long long int llround(double); 210 double trunc(double); 211 212 double remainder(double, double); 213 double remquo(double, double, int *); 214 215 double copysign(double, double); 216 double nan(const char *); 217 double nextafter(double, double); 218 double nexttoward(double, long double); 219 220 double fdim(double, double); 221 double fmax(double, double); 222 double fmin(double, double); 223 224 double fma(double, double, double); 225 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */ 226 227 #if __BSD_VISIBLE || __XPG_VISIBLE 228 double j0(double); 229 double j1(double); 230 double jn(int, double); 231 double scalb(double, double); 232 double y0(double); 233 double y1(double); 234 double yn(int, double); 235 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 236 237 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 238 double gamma(double); 239 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 240 241 /* 242 * BSD math library entry points 243 */ 244 #if __BSD_VISIBLE 245 double drem(double, double); 246 int finite(double); 247 248 /* 249 * Reentrant version of gamma & lgamma; passes signgam back by reference 250 * as the second argument; user must allocate space for signgam. 251 */ 252 double gamma_r(double, int *); 253 double lgamma_r(double, int *); 254 255 /* 256 * IEEE Test Vector 257 */ 258 double significand(double); 259 #endif /* __BSD_VISIBLE */ 260 261 /* 262 * Float versions of C99 functions 263 */ 264 #if __ISO_C_VISIBLE >= 1999 265 float acosf(float); 266 float asinf(float); 267 float atanf(float); 268 float atan2f(float, float); 269 float cosf(float); 270 float sinf(float); 271 float tanf(float); 272 273 float acoshf(float); 274 float asinhf(float); 275 float atanhf(float); 276 float coshf(float); 277 float sinhf(float); 278 float tanhf(float); 279 280 float expf(float); 281 float exp2f(float); 282 float expm1f(float); 283 float frexpf(float, int *); 284 int ilogbf(float); 285 float ldexpf(float, int); 286 float logf(float); 287 float log10f(float); 288 float log1pf(float); 289 float log2f(float); 290 float logbf(float); 291 float modff(float, float *); 292 float scalbnf(float, int); 293 float scalblnf(float, long int); 294 295 float cbrtf(float); 296 float fabsf(float); 297 float hypotf(float, float); 298 float powf(float, float); 299 float sqrtf(float); 300 301 float erff(float); 302 float erfcf(float); 303 float lgammaf(float); 304 float tgammaf(float); 305 306 float ceilf(float); 307 float floorf(float); 308 float nearbyintf(float); 309 float rintf(float); 310 long int lrintf(float); 311 long long int llrintf(float); 312 float roundf(float); 313 long int lroundf(float); 314 long long int llroundf(float); 315 float truncf(float); 316 317 float fmodf(float, float); 318 float remainderf(float, float); 319 float remquof(float, float, int *); 320 321 float copysignf(float, float); 322 float nanf(const char *); 323 float nextafterf(float, float); 324 float nexttowardf(float, long double); 325 326 float fdimf(float, float); 327 float fmaxf(float, float); 328 float fminf(float, float); 329 330 float fmaf(float, float, float); 331 #endif /* __ISO_C_VISIBLE >= 1999 */ 332 333 #if __BSD_VISIBLE || __XPG_VISIBLE 334 float j0f(float); 335 float j1f(float); 336 float jnf(int, float); 337 float scalbf(float, float); 338 float y0f(float); 339 float y1f(float); 340 float ynf(int, float); 341 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 342 343 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 344 float gammaf(float); 345 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 346 347 /* 348 * Float versions of BSD math library entry points 349 */ 350 #if __BSD_VISIBLE 351 float dremf(float, float); 352 int finitef(float); 353 int isinff(float); 354 int isnanf(float); 355 356 /* 357 * Float versions of reentrant version of gamma & lgamma; passes 358 * signgam back by reference as the second argument; user must 359 * allocate space for signgam. 360 */ 361 float gammaf_r(float, int *); 362 float lgammaf_r(float, int *); 363 364 /* 365 * Float version of IEEE Test Vector 366 */ 367 float significandf(float); 368 #endif /* __BSD_VISIBLE */ 369 370 /* 371 * Long double versions of C99 functions 372 */ 373 #if __ISO_C_VISIBLE >= 1999 374 long double acosl(long double); 375 long double asinl(long double); 376 long double atanl(long double); 377 long double atan2l(long double, long double); 378 long double cosl(long double); 379 long double sinl(long double); 380 long double tanl(long double); 381 382 long double acoshl(long double); 383 long double asinhl(long double); 384 long double atanhl(long double); 385 long double coshl(long double); 386 long double sinhl(long double); 387 long double tanhl(long double); 388 389 long double expl(long double); 390 long double exp2l(long double); 391 long double expm1l(long double); 392 long double frexpl(long double, int *); 393 int ilogbl(long double); 394 long double ldexpl(long double, int); 395 long double logl(long double); 396 long double log10l(long double); 397 long double log1pl(long double); 398 long double log2l(long double); 399 long double logbl(long double); 400 long double modfl(long double, long double *); 401 long double scalbnl(long double, int); 402 long double scalblnl(long double, long int); 403 404 long double cbrtl(long double); 405 long double fabsl(long double); 406 long double hypotl(long double, long double); 407 long double powl(long double, long double); 408 long double sqrtl(long double); 409 410 long double erfl(long double); 411 long double erfcl(long double); 412 long double lgammal(long double); 413 long double tgammal(long double); 414 415 long double ceill(long double); 416 long double floorl(long double); 417 long double nearbyintl(long double); 418 long double rintl(long double); 419 long int lrintl(long double); 420 long long int llrintl(long double); 421 long double roundl(long double); 422 long int lroundl(long double); 423 long long int llroundl(long double); 424 long double truncl(long double); 425 426 long double fmodl(long double, long double); 427 long double remainderl(long double, long double); 428 long double remquol(long double, long double, int *); 429 430 long double copysignl(long double, long double); 431 long double nanl(const char *); 432 long double nextafterl(long double, long double); 433 long double nexttowardl(long double, long double); 434 435 long double fdiml(long double, long double); 436 long double fmaxl(long double, long double); 437 long double fminl(long double, long double); 438 439 long double fmal(long double, long double, long double); 440 #endif /* __ISO_C_VISIBLE >= 1999 */ 441 442 /* 443 * Library implementation 444 */ 445 int __fpclassify(double); 446 int __fpclassifyf(float); 447 int __fpclassifyl(long double); 448 int __isfinite(double); 449 int __isfinitef(float); 450 int __isfinitel(long double); 451 int __isinf(double); 452 int __isinff(float); 453 int __isinfl(long double); 454 int __isnan(double); 455 int __isnanf(float); 456 int __isnanl(long double); 457 int __isnormal(double); 458 int __isnormalf(float); 459 int __isnormall(long double); 460 int __signbit(double); 461 int __signbitf(float); 462 int __signbitl(long double); 463 464 #if __BSD_VISIBLE && defined(__vax__) 465 double infnan(int); 466 #endif /* __BSD_VISIBLE && defined(__vax__) */ 467 __END_DECLS 468 469 #endif /* !_MATH_H_ */ 470