1 /* $OpenBSD: math.h,v 1.33 2014/05/03 16:13:03 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/limits.h> 22 23 __BEGIN_DECLS 24 /* 25 * ANSI/POSIX 26 */ 27 extern char __infinity[]; 28 #if __GNUC_PREREQ__(3, 3) && !defined(__vax__) 29 #define HUGE_VAL __builtin_huge_val() 30 #else /* __GNUC_PREREQ__(3, 3) && !__vax__ */ 31 #define HUGE_VAL (*(double *)(void *)__infinity) 32 #endif /* __GNUC_PREREQ__(3, 3) && !__vax__ */ 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) && !defined(__vax__) 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) && !__vax__ */ 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) && !__vax__ */ 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 ((double)2.7182818284590452354) /* e */ 122 #define M_LOG2E ((double)1.4426950408889634074) /* log 2e */ 123 #define M_LOG10E ((double)0.43429448190325182765) /* log 10e */ 124 #define M_LN2 ((double)0.69314718055994530942) /* log e2 */ 125 #define M_LN10 ((double)2.30258509299404568402) /* log e10 */ 126 #define M_PI ((double)3.14159265358979323846) /* pi */ 127 #define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */ 128 #define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */ 129 #define M_1_PI ((double)0.31830988618379067154) /* 1/pi */ 130 #define M_2_PI ((double)0.63661977236758134308) /* 2/pi */ 131 #define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */ 132 #define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */ 133 #define M_SQRT1_2 ((double)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 __POSIX_VISIBLE >= 201403 145 #define M_El 2.718281828459045235360287471352662498L /* e */ 146 #define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */ 147 #define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */ 148 #define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */ 149 #define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */ 150 #define M_PIl 3.141592653589793238462643383279502884L /* pi */ 151 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ 152 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ 153 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ 154 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ 155 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */ 156 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ 157 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ 158 #endif /* __POSIX_VISIBLE >= 201403 */ 159 160 #if __BSD_VISIBLE 161 #define HUGE MAXFLOAT 162 #endif /* __BSD_VISIBLE */ 163 164 /* 165 * ANSI/POSIX 166 */ 167 double acos(double); 168 double asin(double); 169 double atan(double); 170 double atan2(double, double); 171 double cos(double); 172 double sin(double); 173 double tan(double); 174 175 double cosh(double); 176 double sinh(double); 177 double tanh(double); 178 179 double exp(double); 180 double frexp(double, int *); 181 double ldexp(double, int); 182 double log(double); 183 double log10(double); 184 double modf(double, double *); 185 186 double pow(double, double); 187 double sqrt(double); 188 189 double ceil(double); 190 double fabs(double); 191 double floor(double); 192 double fmod(double, double); 193 194 /* 195 * C99 196 */ 197 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE 198 double acosh(double); 199 double asinh(double); 200 double atanh(double); 201 202 double exp2(double); 203 double expm1(double); 204 int ilogb(double); 205 double log1p(double); 206 double log2(double); 207 double logb(double); 208 double scalbn(double, int); 209 double scalbln(double, long int); 210 211 double cbrt(double); 212 double hypot(double, double); 213 214 double erf(double); 215 double erfc(double); 216 double lgamma(double); 217 double tgamma(double); 218 219 double nearbyint(double); 220 double rint(double); 221 long int lrint(double); 222 long long int llrint(double); 223 double round(double); 224 long int lround(double); 225 long long int llround(double); 226 double trunc(double); 227 228 double remainder(double, double); 229 double remquo(double, double, int *); 230 231 double copysign(double, double); 232 double nan(const char *); 233 double nextafter(double, double); 234 double nexttoward(double, long double); 235 236 double fdim(double, double); 237 double fmax(double, double); 238 double fmin(double, double); 239 240 double fma(double, double, double); 241 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */ 242 243 #if __BSD_VISIBLE || __XPG_VISIBLE 244 double j0(double); 245 double j1(double); 246 double jn(int, double); 247 double scalb(double, double); 248 double y0(double); 249 double y1(double); 250 double yn(int, double); 251 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 252 253 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 254 double gamma(double); 255 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 256 257 /* 258 * BSD math library entry points 259 */ 260 #if __BSD_VISIBLE 261 double drem(double, double); 262 int finite(double); 263 264 /* 265 * Reentrant version of gamma & lgamma; passes signgam back by reference 266 * as the second argument; user must allocate space for signgam. 267 */ 268 double gamma_r(double, int *); 269 double lgamma_r(double, int *); 270 271 /* 272 * IEEE Test Vector 273 */ 274 double significand(double); 275 #endif /* __BSD_VISIBLE */ 276 277 /* 278 * Float versions of C99 functions 279 */ 280 #if __ISO_C_VISIBLE >= 1999 281 float acosf(float); 282 float asinf(float); 283 float atanf(float); 284 float atan2f(float, float); 285 float cosf(float); 286 float sinf(float); 287 float tanf(float); 288 289 float acoshf(float); 290 float asinhf(float); 291 float atanhf(float); 292 float coshf(float); 293 float sinhf(float); 294 float tanhf(float); 295 296 float expf(float); 297 float exp2f(float); 298 float expm1f(float); 299 float frexpf(float, int *); 300 int ilogbf(float); 301 float ldexpf(float, int); 302 float logf(float); 303 float log10f(float); 304 float log1pf(float); 305 float log2f(float); 306 float logbf(float); 307 float modff(float, float *); 308 float scalbnf(float, int); 309 float scalblnf(float, long int); 310 311 float cbrtf(float); 312 float fabsf(float); 313 float hypotf(float, float); 314 float powf(float, float); 315 float sqrtf(float); 316 317 float erff(float); 318 float erfcf(float); 319 float lgammaf(float); 320 float tgammaf(float); 321 322 float ceilf(float); 323 float floorf(float); 324 float nearbyintf(float); 325 float rintf(float); 326 long int lrintf(float); 327 long long int llrintf(float); 328 float roundf(float); 329 long int lroundf(float); 330 long long int llroundf(float); 331 float truncf(float); 332 333 float fmodf(float, float); 334 float remainderf(float, float); 335 float remquof(float, float, int *); 336 337 float copysignf(float, float); 338 float nanf(const char *); 339 float nextafterf(float, float); 340 float nexttowardf(float, long double); 341 342 float fdimf(float, float); 343 float fmaxf(float, float); 344 float fminf(float, float); 345 346 float fmaf(float, float, float); 347 #endif /* __ISO_C_VISIBLE >= 1999 */ 348 349 #if __BSD_VISIBLE || __XPG_VISIBLE 350 float j0f(float); 351 float j1f(float); 352 float jnf(int, float); 353 float scalbf(float, float); 354 float y0f(float); 355 float y1f(float); 356 float ynf(int, float); 357 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 358 359 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 360 float gammaf(float); 361 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 362 363 /* 364 * Float versions of BSD math library entry points 365 */ 366 #if __BSD_VISIBLE 367 float dremf(float, float); 368 int finitef(float); 369 int isinff(float); 370 int isnanf(float); 371 372 /* 373 * Float versions of reentrant version of gamma & lgamma; passes 374 * signgam back by reference as the second argument; user must 375 * allocate space for signgam. 376 */ 377 float gammaf_r(float, int *); 378 float lgammaf_r(float, int *); 379 380 /* 381 * Float version of IEEE Test Vector 382 */ 383 float significandf(float); 384 #endif /* __BSD_VISIBLE */ 385 386 /* 387 * Long double versions of C99 functions 388 */ 389 #if __ISO_C_VISIBLE >= 1999 390 long double acosl(long double); 391 long double asinl(long double); 392 long double atanl(long double); 393 long double atan2l(long double, long double); 394 long double cosl(long double); 395 long double sinl(long double); 396 long double tanl(long double); 397 398 long double acoshl(long double); 399 long double asinhl(long double); 400 long double atanhl(long double); 401 long double coshl(long double); 402 long double sinhl(long double); 403 long double tanhl(long double); 404 405 long double expl(long double); 406 long double exp2l(long double); 407 long double expm1l(long double); 408 long double frexpl(long double, int *); 409 int ilogbl(long double); 410 long double ldexpl(long double, int); 411 long double logl(long double); 412 long double log10l(long double); 413 long double log1pl(long double); 414 long double log2l(long double); 415 long double logbl(long double); 416 long double modfl(long double, long double *); 417 long double scalbnl(long double, int); 418 long double scalblnl(long double, long int); 419 420 long double cbrtl(long double); 421 long double fabsl(long double); 422 long double hypotl(long double, long double); 423 long double powl(long double, long double); 424 long double sqrtl(long double); 425 426 long double erfl(long double); 427 long double erfcl(long double); 428 long double lgammal(long double); 429 long double tgammal(long double); 430 431 long double ceill(long double); 432 long double floorl(long double); 433 long double nearbyintl(long double); 434 long double rintl(long double); 435 long int lrintl(long double); 436 long long int llrintl(long double); 437 long double roundl(long double); 438 long int lroundl(long double); 439 long long int llroundl(long double); 440 long double truncl(long double); 441 442 long double fmodl(long double, long double); 443 long double remainderl(long double, long double); 444 long double remquol(long double, long double, int *); 445 446 long double copysignl(long double, long double); 447 long double nanl(const char *); 448 long double nextafterl(long double, long double); 449 long double nexttowardl(long double, long double); 450 451 long double fdiml(long double, long double); 452 long double fmaxl(long double, long double); 453 long double fminl(long double, long double); 454 455 long double fmal(long double, long double, long double); 456 #endif /* __ISO_C_VISIBLE >= 1999 */ 457 458 /* 459 * Library implementation 460 */ 461 int __fpclassify(double); 462 int __fpclassifyf(float); 463 int __fpclassifyl(long double); 464 int __isfinite(double); 465 int __isfinitef(float); 466 int __isfinitel(long double); 467 int __isinf(double); 468 int __isinff(float); 469 int __isinfl(long double); 470 int __isnan(double); 471 int __isnanf(float); 472 int __isnanl(long double); 473 int __isnormal(double); 474 int __isnormalf(float); 475 int __isnormall(long double); 476 int __signbit(double); 477 int __signbitf(float); 478 int __signbitl(long double); 479 480 #if __BSD_VISIBLE && defined(__vax__) 481 double infnan(int); 482 #endif /* __BSD_VISIBLE && defined(__vax__) */ 483 __END_DECLS 484 485 #endif /* !_MATH_H_ */ 486