1 /* $OpenBSD: math.h,v 1.36 2018/03/10 20:52:58 kettenis 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 <machine/limits.h> 21 22 __BEGIN_DECLS 23 /* 24 * ANSI/POSIX 25 */ 26 extern char __infinity[]; 27 #if __GNUC_PREREQ__(3, 3) 28 #define HUGE_VAL __builtin_huge_val() 29 #else /* __GNUC_PREREQ__(3, 3) */ 30 #define HUGE_VAL (*(double *)(void *)__infinity) 31 #endif /* __GNUC_PREREQ__(3, 3) */ 32 33 /* 34 * C99 35 */ 36 #if __ISO_C_VISIBLE >= 1999 37 typedef double double_t; 38 typedef float float_t; 39 40 #if __GNUC_PREREQ__(3, 3) 41 #define HUGE_VALF __builtin_huge_valf() 42 #define HUGE_VALL __builtin_huge_vall() 43 #define INFINITY __builtin_inff() 44 #define NAN __builtin_nanf("") 45 #else /* __GNUC_PREREQ__(3, 3) */ 46 #define HUGE_VALF ((float)HUGE_VAL) 47 #define HUGE_VALL ((long double)HUGE_VAL) 48 #define INFINITY HUGE_VALF 49 extern char __nan[]; 50 #define NAN (*(float *)(void *)__nan) 51 #endif /* __GNUC_PREREQ__(3, 3) */ 52 53 #define FP_INFINITE 0x01 54 #define FP_NAN 0x02 55 #define FP_NORMAL 0x04 56 #define FP_SUBNORMAL 0x08 57 #define FP_ZERO 0x10 58 59 #define FP_ILOGB0 (-INT_MAX) 60 #define FP_ILOGBNAN INT_MAX 61 62 #ifdef __FP_FAST_FMA 63 #define FP_FAST_FMA 1 64 #endif /* __FP_FAST_FMA */ 65 66 #ifdef __FP_FAST_FMAF 67 #define FP_FAST_FMAF 1 68 #endif /* __FP_FAST_FMAF */ 69 70 #ifdef __FP_FAST_FMAL 71 #define FP_FAST_FMAL 1 72 #endif /* __FP_FAST_FMAL */ 73 74 #define MATH_ERRNO 1 75 #define MATH_ERREXCEPT 2 76 #define math_errhandling MATH_ERREXCEPT 77 78 #define fpclassify(x) \ 79 ((sizeof (x) == sizeof (float)) ? \ 80 __fpclassifyf(x) \ 81 : (sizeof (x) == sizeof (double)) ? \ 82 __fpclassifyd(x) \ 83 : __fpclassifyl(x)) 84 #define isfinite(x) \ 85 ((sizeof (x) == sizeof (float)) ? \ 86 __isfinitef(x) \ 87 : (sizeof (x) == sizeof (double)) ? \ 88 __isfinite(x) \ 89 : __isfinitel(x)) 90 #define isnormal(x) \ 91 ((sizeof (x) == sizeof (float)) ? \ 92 __isnormalf(x) \ 93 : (sizeof (x) == sizeof (double)) ? \ 94 __isnormal(x) \ 95 : __isnormall(x)) 96 #define signbit(x) \ 97 ((sizeof (x) == sizeof (float)) ? \ 98 __signbitf(x) \ 99 : (sizeof (x) == sizeof (double)) ? \ 100 __signbit(x) \ 101 : __signbitl(x)) 102 103 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 104 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 105 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 106 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 107 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 108 ((x) > (y) || (y) > (x))) 109 #define isunordered(x, y) (isnan(x) || isnan(y)) 110 #endif /* __ISO_C_VISIBLE >= 1999 */ 111 112 #define isinf(x) \ 113 ((sizeof (x) == sizeof (float)) ? \ 114 __isinff(x) \ 115 : (sizeof (x) == sizeof (double)) ? \ 116 __isinf(x) \ 117 : __isinfl(x)) 118 #define isnan(x) \ 119 ((sizeof (x) == sizeof (float)) ? \ 120 __isnanf(x) \ 121 : (sizeof (x) == sizeof (double)) ? \ 122 __isnan(x) \ 123 : __isnanl(x)) 124 125 /* 126 * XOPEN/SVID 127 */ 128 #if __BSD_VISIBLE || __XSI_VISIBLE 129 #define M_E ((double)2.7182818284590452354) /* e */ 130 #define M_LOG2E ((double)1.4426950408889634074) /* log 2e */ 131 #define M_LOG10E ((double)0.43429448190325182765) /* log 10e */ 132 #define M_LN2 ((double)0.69314718055994530942) /* log e2 */ 133 #define M_LN10 ((double)2.30258509299404568402) /* log e10 */ 134 #define M_PI ((double)3.14159265358979323846) /* pi */ 135 #define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */ 136 #define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */ 137 #define M_1_PI ((double)0.31830988618379067154) /* 1/pi */ 138 #define M_2_PI ((double)0.63661977236758134308) /* 2/pi */ 139 #define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */ 140 #define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */ 141 #define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */ 142 143 #define MAXFLOAT ((float)3.40282346638528860e+38) 144 145 extern int signgam; 146 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 147 148 #if __POSIX_VISIBLE >= 201403 149 #define M_El 2.718281828459045235360287471352662498L /* e */ 150 #define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */ 151 #define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */ 152 #define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */ 153 #define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */ 154 #define M_PIl 3.141592653589793238462643383279502884L /* pi */ 155 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ 156 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ 157 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ 158 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ 159 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */ 160 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ 161 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ 162 #endif /* __POSIX_VISIBLE >= 201403 */ 163 164 #if __BSD_VISIBLE 165 #define HUGE MAXFLOAT 166 #endif /* __BSD_VISIBLE */ 167 168 /* 169 * ANSI/POSIX 170 */ 171 double acos(double); 172 double asin(double); 173 double atan(double); 174 double atan2(double, double); 175 double cos(double); 176 double sin(double); 177 double tan(double); 178 179 double cosh(double); 180 double sinh(double); 181 double tanh(double); 182 183 double exp(double); 184 double frexp(double, int *); 185 double ldexp(double, int); 186 double log(double); 187 double log10(double); 188 double modf(double, double *); 189 190 double pow(double, double); 191 double sqrt(double); 192 193 double ceil(double); 194 double fabs(double); 195 double floor(double); 196 double fmod(double, double); 197 198 /* 199 * C99 200 */ 201 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 202 double acosh(double); 203 double asinh(double); 204 double atanh(double); 205 206 double exp2(double); 207 double expm1(double); 208 int ilogb(double); 209 double log1p(double); 210 double log2(double); 211 double logb(double); 212 double scalbn(double, int); 213 double scalbln(double, long int); 214 215 double cbrt(double); 216 double hypot(double, double); 217 218 double erf(double); 219 double erfc(double); 220 double lgamma(double); 221 double tgamma(double); 222 223 double nearbyint(double); 224 double rint(double); 225 long int lrint(double); 226 long long int llrint(double); 227 double round(double); 228 long int lround(double); 229 long long int llround(double); 230 double trunc(double); 231 232 double remainder(double, double); 233 double remquo(double, double, int *); 234 235 double copysign(double, double); 236 double nan(const char *); 237 double nextafter(double, double); 238 double nexttoward(double, long double); 239 240 double fdim(double, double); 241 double fmax(double, double); 242 double fmin(double, double); 243 244 double fma(double, double, double); 245 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 246 247 #if __BSD_VISIBLE || __XSI_VISIBLE 248 double j0(double); 249 double j1(double); 250 double jn(int, double); 251 double y0(double); 252 double y1(double); 253 double yn(int, double); 254 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 255 256 #if __BSD_VISIBLE || __XSI_VISIBLE <= 500 257 double gamma(double); 258 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 500 */ 259 260 #if __BSD_VISIBLE || __XSI_VISIBLE <= 600 261 double scalb(double, double); 262 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 600 */ 263 264 /* 265 * BSD math library entry points 266 */ 267 #if __BSD_VISIBLE 268 double drem(double, double); 269 int finite(double); 270 271 /* 272 * Reentrant version of gamma & lgamma; passes signgam back by reference 273 * as the second argument; user must allocate space for signgam. 274 */ 275 double gamma_r(double, int *); 276 double lgamma_r(double, int *); 277 278 void sincos(double, double *, double *); 279 280 /* 281 * IEEE Test Vector 282 */ 283 double significand(double); 284 #endif /* __BSD_VISIBLE */ 285 286 /* 287 * Float versions of C99 functions 288 */ 289 #if __ISO_C_VISIBLE >= 1999 290 float acosf(float); 291 float asinf(float); 292 float atanf(float); 293 float atan2f(float, float); 294 float cosf(float); 295 float sinf(float); 296 float tanf(float); 297 298 float acoshf(float); 299 float asinhf(float); 300 float atanhf(float); 301 float coshf(float); 302 float sinhf(float); 303 float tanhf(float); 304 305 float expf(float); 306 float exp2f(float); 307 float expm1f(float); 308 float frexpf(float, int *); 309 int ilogbf(float); 310 float ldexpf(float, int); 311 float logf(float); 312 float log10f(float); 313 float log1pf(float); 314 float log2f(float); 315 float logbf(float); 316 float modff(float, float *); 317 float scalbnf(float, int); 318 float scalblnf(float, long int); 319 320 float cbrtf(float); 321 float fabsf(float); 322 float hypotf(float, float); 323 float powf(float, float); 324 float sqrtf(float); 325 326 float erff(float); 327 float erfcf(float); 328 float lgammaf(float); 329 float tgammaf(float); 330 331 float ceilf(float); 332 float floorf(float); 333 float nearbyintf(float); 334 float rintf(float); 335 long int lrintf(float); 336 long long int llrintf(float); 337 float roundf(float); 338 long int lroundf(float); 339 long long int llroundf(float); 340 float truncf(float); 341 342 float fmodf(float, float); 343 float remainderf(float, float); 344 float remquof(float, float, int *); 345 346 float copysignf(float, float); 347 float nanf(const char *); 348 float nextafterf(float, float); 349 float nexttowardf(float, long double); 350 351 float fdimf(float, float); 352 float fmaxf(float, float); 353 float fminf(float, float); 354 355 float fmaf(float, float, float); 356 #endif /* __ISO_C_VISIBLE >= 1999 */ 357 358 #if __BSD_VISIBLE || __XSI_VISIBLE 359 float j0f(float); 360 float j1f(float); 361 float jnf(int, float); 362 float scalbf(float, float); 363 float y0f(float); 364 float y1f(float); 365 float ynf(int, float); 366 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 367 368 #if __BSD_VISIBLE || __XSI_VISIBLE <= 500 369 float gammaf(float); 370 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 500 */ 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); 378 int isinff(float); 379 int isnanf(float); 380 381 /* 382 * Float versions of reentrant version of gamma & lgamma; passes 383 * signgam back by reference as the second argument; user must 384 * allocate space for signgam. 385 */ 386 float gammaf_r(float, int *); 387 float lgammaf_r(float, int *); 388 389 void sincosf(float, float *, float *); 390 391 /* 392 * Float version of IEEE Test Vector 393 */ 394 float significandf(float); 395 #endif /* __BSD_VISIBLE */ 396 397 /* 398 * Long double versions of C99 functions 399 */ 400 #if __ISO_C_VISIBLE >= 1999 401 long double acosl(long double); 402 long double asinl(long double); 403 long double atanl(long double); 404 long double atan2l(long double, long double); 405 long double cosl(long double); 406 long double sinl(long double); 407 long double tanl(long double); 408 409 long double acoshl(long double); 410 long double asinhl(long double); 411 long double atanhl(long double); 412 long double coshl(long double); 413 long double sinhl(long double); 414 long double tanhl(long double); 415 416 long double expl(long double); 417 long double exp2l(long double); 418 long double expm1l(long double); 419 long double frexpl(long double, int *); 420 int ilogbl(long double); 421 long double ldexpl(long double, int); 422 long double logl(long double); 423 long double log10l(long double); 424 long double log1pl(long double); 425 long double log2l(long double); 426 long double logbl(long double); 427 long double modfl(long double, long double *); 428 long double scalbnl(long double, int); 429 long double scalblnl(long double, long int); 430 431 long double cbrtl(long double); 432 long double fabsl(long double); 433 long double hypotl(long double, long double); 434 long double powl(long double, long double); 435 long double sqrtl(long double); 436 437 long double erfl(long double); 438 long double erfcl(long double); 439 long double lgammal(long double); 440 long double tgammal(long double); 441 442 long double ceill(long double); 443 long double floorl(long double); 444 long double nearbyintl(long double); 445 long double rintl(long double); 446 long int lrintl(long double); 447 long long int llrintl(long double); 448 long double roundl(long double); 449 long int lroundl(long double); 450 long long int llroundl(long double); 451 long double truncl(long double); 452 453 long double fmodl(long double, long double); 454 long double remainderl(long double, long double); 455 long double remquol(long double, long double, int *); 456 457 long double copysignl(long double, long double); 458 long double nanl(const char *); 459 long double nextafterl(long double, long double); 460 long double nexttowardl(long double, long double); 461 462 long double fdiml(long double, long double); 463 long double fmaxl(long double, long double); 464 long double fminl(long double, long double); 465 466 long double fmal(long double, long double, long double); 467 #endif /* __ISO_C_VISIBLE >= 1999 */ 468 469 /* 470 * Long double versions of BSD math library entry points 471 */ 472 #if __BSD_VISIBLE 473 void sincosl(long double, long double *, long double *); 474 #endif 475 476 /* 477 * Library implementation 478 */ 479 int __fpclassifyd(double); 480 int __fpclassifyf(float); 481 int __fpclassifyl(long double); 482 int __isfinite(double); 483 int __isfinitef(float); 484 int __isfinitel(long double); 485 int __isinf(double); 486 int __isinff(float); 487 int __isinfl(long double); 488 int __isnan(double); 489 int __isnanf(float); 490 int __isnanl(long double); 491 int __isnormal(double); 492 int __isnormalf(float); 493 int __isnormall(long double); 494 int __signbit(double); 495 int __signbitf(float); 496 int __signbitl(long double); 497 __END_DECLS 498 499 #endif /* !_MATH_H_ */ 500