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 #include <machine/stdint.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 #define HUGE_VALF ((float)HUGE_VAL) 48 #define HUGE_VALL ((long double)HUGE_VAL) 49 #define INFINITY HUGE_VALF 50 extern char __nan[]; 51 #define NAN (*(float *)(void *)__nan) 52 #endif /* __GNUC_PREREQ__(3, 3) */ 53 54 #define FP_INFINITE 0x01 55 #define FP_NAN 0x02 56 #define FP_NORMAL 0x04 57 #define FP_SUBNORMAL 0x08 58 #define FP_ZERO 0x10 59 60 #define FP_ILOGB0 (-INT_MAX) 61 #define FP_ILOGBNAN INT_MAX 62 63 #ifdef __FP_FAST_FMA 64 #define FP_FAST_FMA 1 65 #endif /* __FP_FAST_FMA */ 66 67 #ifdef __FP_FAST_FMAF 68 #define FP_FAST_FMAF 1 69 #endif /* __FP_FAST_FMAF */ 70 71 #ifdef __FP_FAST_FMAL 72 #define FP_FAST_FMAL 1 73 #endif /* __FP_FAST_FMAL */ 74 75 #define MATH_ERRNO 1 76 #define MATH_ERREXCEPT 2 77 #define math_errhandling MATH_ERREXCEPT 78 79 #define fpclassify(x) \ 80 ((sizeof (x) == sizeof (float)) ? \ 81 __fpclassifyf(x) \ 82 : (sizeof (x) == sizeof (double)) ? \ 83 __fpclassifyd(x) \ 84 : __fpclassifyl(x)) 85 #define isfinite(x) \ 86 ((sizeof (x) == sizeof (float)) ? \ 87 __isfinitef(x) \ 88 : (sizeof (x) == sizeof (double)) ? \ 89 __isfinite(x) \ 90 : __isfinitel(x)) 91 #define isnormal(x) \ 92 ((sizeof (x) == sizeof (float)) ? \ 93 __isnormalf(x) \ 94 : (sizeof (x) == sizeof (double)) ? \ 95 __isnormal(x) \ 96 : __isnormall(x)) 97 #define signbit(x) \ 98 ((sizeof (x) == sizeof (float)) ? \ 99 __signbitf(x) \ 100 : (sizeof (x) == sizeof (double)) ? \ 101 __signbit(x) \ 102 : __signbitl(x)) 103 104 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 105 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 106 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 107 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 108 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 109 ((x) > (y) || (y) > (x))) 110 #define isunordered(x, y) (isnan(x) || isnan(y)) 111 #endif /* __ISO_C_VISIBLE >= 1999 */ 112 113 #define isinf(x) \ 114 ((sizeof (x) == sizeof (float)) ? \ 115 __isinff(x) \ 116 : (sizeof (x) == sizeof (double)) ? \ 117 __isinf(x) \ 118 : __isinfl(x)) 119 #define isnan(x) \ 120 ((sizeof (x) == sizeof (float)) ? \ 121 __isnanf(x) \ 122 : (sizeof (x) == sizeof (double)) ? \ 123 __isnan(x) \ 124 : __isnanl(x)) 125 126 /* 127 * XOPEN/SVID 128 */ 129 #if __BSD_VISIBLE || __XSI_VISIBLE 130 #define M_E ((double)2.7182818284590452354) /* e */ 131 #define M_LOG2E ((double)1.4426950408889634074) /* log 2e */ 132 #define M_LOG10E ((double)0.43429448190325182765) /* log 10e */ 133 #define M_LN2 ((double)0.69314718055994530942) /* log e2 */ 134 #define M_LN10 ((double)2.30258509299404568402) /* log e10 */ 135 #define M_PI ((double)3.14159265358979323846) /* pi */ 136 #define M_PI_2 ((double)1.57079632679489661923) /* pi/2 */ 137 #define M_PI_4 ((double)0.78539816339744830962) /* pi/4 */ 138 #define M_1_PI ((double)0.31830988618379067154) /* 1/pi */ 139 #define M_2_PI ((double)0.63661977236758134308) /* 2/pi */ 140 #define M_2_SQRTPI ((double)1.12837916709551257390) /* 2/sqrt(pi) */ 141 #define M_SQRT2 ((double)1.41421356237309504880) /* sqrt(2) */ 142 #define M_SQRT1_2 ((double)0.70710678118654752440) /* 1/sqrt(2) */ 143 144 #define MAXFLOAT ((float)3.40282346638528860e+38) 145 146 extern int signgam; 147 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 148 149 #if __POSIX_VISIBLE >= 201403 150 #define M_El 2.718281828459045235360287471352662498L /* e */ 151 #define M_LOG2El 1.442695040888963407359924681001892137L /* log 2e */ 152 #define M_LOG10El 0.434294481903251827651128918916605082L /* log 10e */ 153 #define M_LN2l 0.693147180559945309417232121458176568L /* log e2 */ 154 #define M_LN10l 2.302585092994045684017991454684364208L /* log e10 */ 155 #define M_PIl 3.141592653589793238462643383279502884L /* pi */ 156 #define M_PI_2l 1.570796326794896619231321691639751442L /* pi/2 */ 157 #define M_PI_4l 0.785398163397448309615660845819875721L /* pi/4 */ 158 #define M_1_PIl 0.318309886183790671537767526745028724L /* 1/pi */ 159 #define M_2_PIl 0.636619772367581343075535053490057448L /* 2/pi */ 160 #define M_2_SQRTPIl 1.128379167095512573896158903121545172L /* 2/sqrt(pi) */ 161 #define M_SQRT2l 1.414213562373095048801688724209698079L /* sqrt(2) */ 162 #define M_SQRT1_2l 0.707106781186547524400844362104849039L /* 1/sqrt(2) */ 163 #endif /* __POSIX_VISIBLE >= 201403 */ 164 165 #if __BSD_VISIBLE 166 #define HUGE MAXFLOAT 167 #endif /* __BSD_VISIBLE */ 168 169 /* 170 * ANSI/POSIX 171 */ 172 double acos(double); 173 double asin(double); 174 double atan(double); 175 double atan2(double, double); 176 double cos(double); 177 double sin(double); 178 double tan(double); 179 180 double cosh(double); 181 double sinh(double); 182 double tanh(double); 183 184 double exp(double); 185 double frexp(double, int *); 186 double ldexp(double, int); 187 double log(double); 188 double log10(double); 189 double modf(double, double *); 190 191 double pow(double, double); 192 double sqrt(double); 193 194 double ceil(double); 195 double fabs(double); 196 double floor(double); 197 double fmod(double, double); 198 199 /* 200 * C99 201 */ 202 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 203 double acosh(double); 204 double asinh(double); 205 double atanh(double); 206 207 double exp2(double); 208 double expm1(double); 209 int ilogb(double); 210 double log1p(double); 211 double log2(double); 212 double logb(double); 213 double scalbn(double, int); 214 double scalbln(double, long int); 215 216 double cbrt(double); 217 double hypot(double, double); 218 219 double erf(double); 220 double erfc(double); 221 double lgamma(double); 222 double tgamma(double); 223 224 double nearbyint(double); 225 double rint(double); 226 long int lrint(double); 227 long long int llrint(double); 228 double round(double); 229 long int lround(double); 230 long long int llround(double); 231 double trunc(double); 232 233 double remainder(double, double); 234 double remquo(double, double, int *); 235 236 double copysign(double, double); 237 double nan(const char *); 238 double nextafter(double, double); 239 double nexttoward(double, long double); 240 241 double fdim(double, double); 242 double fmax(double, double); 243 double fmin(double, double); 244 245 double fma(double, double, double); 246 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 247 248 #if __BSD_VISIBLE || __XSI_VISIBLE 249 double j0(double); 250 double j1(double); 251 double jn(int, double); 252 double y0(double); 253 double y1(double); 254 double yn(int, double); 255 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 256 257 #if __BSD_VISIBLE || __XSI_VISIBLE <= 500 258 double gamma(double); 259 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 500 */ 260 261 #if __BSD_VISIBLE || __XSI_VISIBLE <= 600 262 double scalb(double, double); 263 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 600 */ 264 265 /* 266 * BSD math library entry points 267 */ 268 #if __BSD_VISIBLE 269 double drem(double, double); 270 int finite(double); 271 272 /* 273 * Reentrant version of gamma & lgamma; passes signgam back by reference 274 * as the second argument; user must allocate space for signgam. 275 */ 276 double gamma_r(double, int *); 277 double lgamma_r(double, int *); 278 279 void sincos(double, double *, double *); 280 281 /* 282 * IEEE Test Vector 283 */ 284 double significand(double); 285 #endif /* __BSD_VISIBLE */ 286 287 /* 288 * Float versions of C99 functions 289 */ 290 #if __ISO_C_VISIBLE >= 1999 291 float acosf(float); 292 float asinf(float); 293 float atanf(float); 294 float atan2f(float, float); 295 float cosf(float); 296 float sinf(float); 297 float tanf(float); 298 299 float acoshf(float); 300 float asinhf(float); 301 float atanhf(float); 302 float coshf(float); 303 float sinhf(float); 304 float tanhf(float); 305 306 float expf(float); 307 float exp2f(float); 308 float expm1f(float); 309 float frexpf(float, int *); 310 int ilogbf(float); 311 float ldexpf(float, int); 312 float logf(float); 313 float log10f(float); 314 float log1pf(float); 315 float log2f(float); 316 float logbf(float); 317 float modff(float, float *); 318 float scalbnf(float, int); 319 float scalblnf(float, long int); 320 321 float cbrtf(float); 322 float fabsf(float); 323 float hypotf(float, float); 324 float powf(float, float); 325 float sqrtf(float); 326 327 float erff(float); 328 float erfcf(float); 329 float lgammaf(float); 330 float tgammaf(float); 331 332 float ceilf(float); 333 float floorf(float); 334 float nearbyintf(float); 335 float rintf(float); 336 long int lrintf(float); 337 long long int llrintf(float); 338 float roundf(float); 339 long int lroundf(float); 340 long long int llroundf(float); 341 float truncf(float); 342 343 float fmodf(float, float); 344 float remainderf(float, float); 345 float remquof(float, float, int *); 346 347 float copysignf(float, float); 348 float nanf(const char *); 349 float nextafterf(float, float); 350 float nexttowardf(float, long double); 351 352 float fdimf(float, float); 353 float fmaxf(float, float); 354 float fminf(float, float); 355 356 float fmaf(float, float, float); 357 #endif /* __ISO_C_VISIBLE >= 1999 */ 358 359 #if __BSD_VISIBLE || __XSI_VISIBLE 360 float j0f(float); 361 float j1f(float); 362 float jnf(int, float); 363 float scalbf(float, float); 364 float y0f(float); 365 float y1f(float); 366 float ynf(int, float); 367 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 368 369 #if __BSD_VISIBLE || __XSI_VISIBLE <= 500 370 float gammaf(float); 371 #endif /* __BSD_VISIBLE || __XSI_VISIBLE <= 500 */ 372 373 /* 374 * Float versions of BSD math library entry points 375 */ 376 #if __BSD_VISIBLE 377 float dremf(float, float); 378 int finitef(float); 379 int isinff(float); 380 int isnanf(float); 381 382 /* 383 * Float versions of reentrant version of gamma & lgamma; passes 384 * signgam back by reference as the second argument; user must 385 * allocate space for signgam. 386 */ 387 float gammaf_r(float, int *); 388 float lgammaf_r(float, int *); 389 390 void sincosf(float, float *, float *); 391 392 /* 393 * Float version of IEEE Test Vector 394 */ 395 float significandf(float); 396 #endif /* __BSD_VISIBLE */ 397 398 /* 399 * Long double versions of C99 functions 400 */ 401 #if __ISO_C_VISIBLE >= 1999 402 long double acosl(long double); 403 long double asinl(long double); 404 long double atanl(long double); 405 long double atan2l(long double, long double); 406 long double cosl(long double); 407 long double sinl(long double); 408 long double tanl(long double); 409 410 long double acoshl(long double); 411 long double asinhl(long double); 412 long double atanhl(long double); 413 long double coshl(long double); 414 long double sinhl(long double); 415 long double tanhl(long double); 416 417 long double expl(long double); 418 long double exp2l(long double); 419 long double expm1l(long double); 420 long double frexpl(long double, int *); 421 int ilogbl(long double); 422 long double ldexpl(long double, int); 423 long double logl(long double); 424 long double log10l(long double); 425 long double log1pl(long double); 426 long double log2l(long double); 427 long double logbl(long double); 428 long double modfl(long double, long double *); 429 long double scalbnl(long double, int); 430 long double scalblnl(long double, long int); 431 432 long double cbrtl(long double); 433 long double fabsl(long double); 434 long double hypotl(long double, long double); 435 long double powl(long double, long double); 436 long double sqrtl(long double); 437 438 long double erfl(long double); 439 long double erfcl(long double); 440 long double lgammal(long double); 441 long double tgammal(long double); 442 443 long double ceill(long double); 444 long double floorl(long double); 445 long double nearbyintl(long double); 446 long double rintl(long double); 447 long int lrintl(long double); 448 long long int llrintl(long double); 449 long double roundl(long double); 450 long int lroundl(long double); 451 long long int llroundl(long double); 452 long double truncl(long double); 453 454 long double fmodl(long double, long double); 455 long double remainderl(long double, long double); 456 long double remquol(long double, long double, int *); 457 458 long double copysignl(long double, long double); 459 long double nanl(const char *); 460 long double nextafterl(long double, long double); 461 long double nexttowardl(long double, long double); 462 463 long double fdiml(long double, long double); 464 long double fmaxl(long double, long double); 465 long double fminl(long double, long double); 466 467 long double fmal(long double, long double, long double); 468 #endif /* __ISO_C_VISIBLE >= 1999 */ 469 470 /* 471 * Long double versions of BSD math library entry points 472 */ 473 #if __BSD_VISIBLE 474 void sincosl(long double, long double *, long double *); 475 #endif 476 477 /* 478 * Library implementation 479 */ 480 int __fpclassifyd(double); 481 int __fpclassifyf(float); 482 int __fpclassifyl(long double); 483 int __isfinite(double); 484 int __isfinitef(float); 485 int __isfinitel(long double); 486 int __isinf(double); 487 int __isinff(float); 488 int __isinfl(long double); 489 int __isnan(double); 490 int __isnanf(float); 491 int __isnanl(long double); 492 int __isnormal(double); 493 int __isnormalf(float); 494 int __isnormall(long double); 495 int __signbit(double); 496 int __signbitf(float); 497 int __signbitl(long double); 498 __END_DECLS 499 500 #endif /* !_MATH_H_ */ 501