1 /* $OpenBSD: math.h,v 1.30 2011/07/06 00:02:42 martynas 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/cdefs.h> 22 #include <sys/limits.h> 23 24 __BEGIN_DECLS 25 /* 26 * ANSI/POSIX 27 */ 28 extern char __infinity[]; 29 #if __GNUC_PREREQ__(3, 3) 30 #define HUGE_VAL __builtin_huge_val() 31 #else /* __GNUC_PREREQ__(3, 3) */ 32 #define HUGE_VAL (*(double *)(void *)__infinity) 33 #endif /* __GNUC_PREREQ__(3, 3) */ 34 35 /* 36 * C99 37 */ 38 #if __ISO_C_VISIBLE >= 1999 39 typedef __double_t double_t; 40 typedef __float_t float_t; 41 42 #if __GNUC_PREREQ__(3, 3) 43 #define HUGE_VALF __builtin_huge_valf() 44 #define HUGE_VALL __builtin_huge_vall() 45 #define INFINITY __builtin_inff() 46 #define NAN __builtin_nanf("") 47 #else /* __GNUC_PREREQ__(3, 3) */ 48 #ifdef __vax__ 49 extern char __infinityf[]; 50 #define HUGE_VALF (*(float *)(void *)__infinityf) 51 #else /* __vax__ */ 52 #define HUGE_VALF ((float)HUGE_VAL) 53 #endif /* __vax__ */ 54 #define HUGE_VALL ((long double)HUGE_VAL) 55 #define INFINITY HUGE_VALF 56 #ifndef __vax__ 57 extern char __nan[]; 58 #define NAN (*(float *)(void *)__nan) 59 #endif /* !__vax__ */ 60 #endif /* __GNUC_PREREQ__(3, 3) */ 61 62 #define FP_INFINITE 0x01 63 #define FP_NAN 0x02 64 #define FP_NORMAL 0x04 65 #define FP_SUBNORMAL 0x08 66 #define FP_ZERO 0x10 67 68 #define FP_ILOGB0 (-INT_MAX) 69 #define FP_ILOGBNAN INT_MAX 70 71 #define fpclassify(x) \ 72 ((sizeof (x) == sizeof (float)) ? \ 73 __fpclassifyf(x) \ 74 : (sizeof (x) == sizeof (double)) ? \ 75 __fpclassify(x) \ 76 : __fpclassifyl(x)) 77 #define isfinite(x) \ 78 ((sizeof (x) == sizeof (float)) ? \ 79 __isfinitef(x) \ 80 : (sizeof (x) == sizeof (double)) ? \ 81 __isfinite(x) \ 82 : __isfinitel(x)) 83 #define isnormal(x) \ 84 ((sizeof (x) == sizeof (float)) ? \ 85 __isnormalf(x) \ 86 : (sizeof (x) == sizeof (double)) ? \ 87 __isnormal(x) \ 88 : __isnormall(x)) 89 #define signbit(x) \ 90 ((sizeof (x) == sizeof (float)) ? \ 91 __signbitf(x) \ 92 : (sizeof (x) == sizeof (double)) ? \ 93 __signbit(x) \ 94 : __signbitl(x)) 95 96 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 97 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 98 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 99 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 100 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 101 ((x) > (y) || (y) > (x))) 102 #define isunordered(x, y) (isnan(x) || isnan(y)) 103 #endif /* __ISO_C_VISIBLE >= 1999 */ 104 105 #define isinf(x) \ 106 ((sizeof (x) == sizeof (float)) ? \ 107 __isinff(x) \ 108 : (sizeof (x) == sizeof (double)) ? \ 109 __isinf(x) \ 110 : __isinfl(x)) 111 #define isnan(x) \ 112 ((sizeof (x) == sizeof (float)) ? \ 113 __isnanf(x) \ 114 : (sizeof (x) == sizeof (double)) ? \ 115 __isnan(x) \ 116 : __isnanl(x)) 117 118 /* 119 * XOPEN/SVID 120 */ 121 #if __BSD_VISIBLE || __XPG_VISIBLE 122 #define M_E 2.7182818284590452354 /* e */ 123 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 124 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 125 #define M_LN2 0.69314718055994530942 /* log e2 */ 126 #define M_LN10 2.30258509299404568402 /* log e10 */ 127 #define M_PI 3.14159265358979323846 /* pi */ 128 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 129 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 130 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 131 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 132 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 133 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 134 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 135 136 #ifdef __vax__ 137 #define MAXFLOAT ((float)1.70141173319264430e+38) 138 #else 139 #define MAXFLOAT ((float)3.40282346638528860e+38) 140 #endif /* __vax__ */ 141 142 extern int signgam; 143 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 144 145 #if __BSD_VISIBLE 146 #define HUGE MAXFLOAT 147 #endif /* __BSD_VISIBLE */ 148 149 /* 150 * ANSI/POSIX 151 */ 152 double acos(double); 153 double asin(double); 154 double atan(double); 155 double atan2(double, double); 156 double cos(double); 157 double sin(double); 158 double tan(double); 159 160 double cosh(double); 161 double sinh(double); 162 double tanh(double); 163 164 double exp(double); 165 double frexp(double, int *); 166 double ldexp(double, int); 167 double log(double); 168 double log10(double); 169 double modf(double, double *); 170 171 double pow(double, double); 172 double sqrt(double); 173 174 double ceil(double); 175 double fabs(double); 176 double floor(double); 177 double fmod(double, double); 178 179 /* 180 * C99 181 */ 182 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE 183 double acosh(double); 184 double asinh(double); 185 double atanh(double); 186 187 double exp2(double); 188 double expm1(double); 189 int ilogb(double); 190 double log1p(double); 191 double log2(double); 192 double logb(double); 193 double scalbn(double, int); 194 double scalbln(double, long int); 195 196 double cbrt(double); 197 double hypot(double, double); 198 199 double erf(double); 200 double erfc(double); 201 double lgamma(double); 202 double tgamma(double); 203 204 double nearbyint(double); 205 double rint(double); 206 long int lrint(double); 207 long long int llrint(double); 208 double round(double); 209 long int lround(double); 210 long long int llround(double); 211 double trunc(double); 212 213 double remainder(double, double); 214 double remquo(double, double, int *); 215 216 double copysign(double, double); 217 double nan(const char *); 218 double nextafter(double, double); 219 double nexttoward(double, long double); 220 221 double fdim(double, double); 222 double fmax(double, double); 223 double fmin(double, double); 224 225 double fma(double, double, double); 226 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */ 227 228 #if __BSD_VISIBLE || __XPG_VISIBLE 229 double j0(double); 230 double j1(double); 231 double jn(int, double); 232 double scalb(double, double); 233 double y0(double); 234 double y1(double); 235 double yn(int, double); 236 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 237 238 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 239 double gamma(double); 240 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 241 242 /* 243 * BSD math library entry points 244 */ 245 #if __BSD_VISIBLE 246 double drem(double, double); 247 int finite(double); 248 249 /* 250 * Reentrant version of gamma & lgamma; passes signgam back by reference 251 * as the second argument; user must allocate space for signgam. 252 */ 253 double gamma_r(double, int *); 254 double lgamma_r(double, int *); 255 256 /* 257 * IEEE Test Vector 258 */ 259 double significand(double); 260 #endif /* __BSD_VISIBLE */ 261 262 /* 263 * Float versions of C99 functions 264 */ 265 #if __ISO_C_VISIBLE >= 1999 266 float acosf(float); 267 float asinf(float); 268 float atanf(float); 269 float atan2f(float, float); 270 float cosf(float); 271 float sinf(float); 272 float tanf(float); 273 274 float acoshf(float); 275 float asinhf(float); 276 float atanhf(float); 277 float coshf(float); 278 float sinhf(float); 279 float tanhf(float); 280 281 float expf(float); 282 float exp2f(float); 283 float expm1f(float); 284 float frexpf(float, int *); 285 int ilogbf(float); 286 float ldexpf(float, int); 287 float logf(float); 288 float log10f(float); 289 float log1pf(float); 290 float log2f(float); 291 float logbf(float); 292 float modff(float, float *); 293 float scalbnf(float, int); 294 float scalblnf(float, long int); 295 296 float cbrtf(float); 297 float fabsf(float); 298 float hypotf(float, float); 299 float powf(float, float); 300 float sqrtf(float); 301 302 float erff(float); 303 float erfcf(float); 304 float lgammaf(float); 305 float tgammaf(float); 306 307 float ceilf(float); 308 float floorf(float); 309 float nearbyintf(float); 310 float rintf(float); 311 long int lrintf(float); 312 long long int llrintf(float); 313 float roundf(float); 314 long int lroundf(float); 315 long long int llroundf(float); 316 float truncf(float); 317 318 float fmodf(float, float); 319 float remainderf(float, float); 320 float remquof(float, float, int *); 321 322 float copysignf(float, float); 323 float nanf(const char *); 324 float nextafterf(float, float); 325 float nexttowardf(float, long double); 326 327 float fdimf(float, float); 328 float fmaxf(float, float); 329 float fminf(float, float); 330 331 float fmaf(float, float, float); 332 #endif /* __ISO_C_VISIBLE >= 1999 */ 333 334 #if __BSD_VISIBLE || __XPG_VISIBLE 335 float j0f(float); 336 float j1f(float); 337 float jnf(int, float); 338 float scalbf(float, float); 339 float y0f(float); 340 float y1f(float); 341 float ynf(int, float); 342 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 343 344 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 345 float gammaf(float); 346 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 347 348 /* 349 * Float versions of BSD math library entry points 350 */ 351 #if __BSD_VISIBLE 352 float dremf(float, float); 353 int finitef(float); 354 int isinff(float); 355 int isnanf(float); 356 357 /* 358 * Float versions of reentrant version of gamma & lgamma; passes 359 * signgam back by reference as the second argument; user must 360 * allocate space for signgam. 361 */ 362 float gammaf_r(float, int *); 363 float lgammaf_r(float, int *); 364 365 /* 366 * Float version of IEEE Test Vector 367 */ 368 float significandf(float); 369 #endif /* __BSD_VISIBLE */ 370 371 /* 372 * Long double versions of C99 functions 373 */ 374 #if __ISO_C_VISIBLE >= 1999 375 long double acosl(long double); 376 long double asinl(long double); 377 long double atanl(long double); 378 long double atan2l(long double, long double); 379 long double cosl(long double); 380 long double sinl(long double); 381 long double tanl(long double); 382 383 long double acoshl(long double); 384 long double asinhl(long double); 385 long double atanhl(long double); 386 long double coshl(long double); 387 long double sinhl(long double); 388 long double tanhl(long double); 389 390 long double expl(long double); 391 long double exp2l(long double); 392 long double expm1l(long double); 393 long double frexpl(long double, int *); 394 int ilogbl(long double); 395 long double ldexpl(long double, int); 396 long double logl(long double); 397 long double log10l(long double); 398 long double log1pl(long double); 399 long double log2l(long double); 400 long double logbl(long double); 401 long double modfl(long double, long double *); 402 long double scalbnl(long double, int); 403 long double scalblnl(long double, long int); 404 405 long double cbrtl(long double); 406 long double fabsl(long double); 407 long double hypotl(long double, long double); 408 long double powl(long double, long double); 409 long double sqrtl(long double); 410 411 long double erfl(long double); 412 long double erfcl(long double); 413 long double lgammal(long double); 414 long double tgammal(long double); 415 416 long double ceill(long double); 417 long double floorl(long double); 418 long double nearbyintl(long double); 419 long double rintl(long double); 420 long int lrintl(long double); 421 long long int llrintl(long double); 422 long double roundl(long double); 423 long int lroundl(long double); 424 long long int llroundl(long double); 425 long double truncl(long double); 426 427 long double fmodl(long double, long double); 428 long double remainderl(long double, long double); 429 long double remquol(long double, long double, int *); 430 431 long double copysignl(long double, long double); 432 long double nanl(const char *); 433 long double nextafterl(long double, long double); 434 long double nexttowardl(long double, long double); 435 436 long double fdiml(long double, long double); 437 long double fmaxl(long double, long double); 438 long double fminl(long double, long double); 439 440 long double fmal(long double, long double, long double); 441 #endif /* __ISO_C_VISIBLE >= 1999 */ 442 443 /* 444 * Library implementation 445 */ 446 int __fpclassify(double); 447 int __fpclassifyf(float); 448 int __fpclassifyl(long double); 449 int __isfinite(double); 450 int __isfinitef(float); 451 int __isfinitel(long double); 452 int __isinf(double); 453 int __isinff(float); 454 int __isinfl(long double); 455 int __isnan(double); 456 int __isnanf(float); 457 int __isnanl(long double); 458 int __isnormal(double); 459 int __isnormalf(float); 460 int __isnormall(long double); 461 int __signbit(double); 462 int __signbitf(float); 463 int __signbitl(long double); 464 465 #if __BSD_VISIBLE && defined(__vax__) 466 double infnan(int); 467 #endif /* __BSD_VISIBLE && defined(__vax__) */ 468 __END_DECLS 469 470 #endif /* !_MATH_H_ */ 471