1 /* $OpenBSD: math.h,v 1.22 2008/09/09 20:42:55 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 /* 25 * ANSI/POSIX 26 */ 27 extern char __infinity[]; 28 #define HUGE_VAL (*(double *)(void *)__infinity) 29 30 /* 31 * C99 32 */ 33 #if __ISO_C_VISIBLE >= 1999 34 typedef __double_t double_t; 35 typedef __float_t float_t; 36 37 #define HUGE_VALF ((float)HUGE_VAL) 38 #define HUGE_VALL ((long double)HUGE_VAL) 39 #define INFINITY HUGE_VALF 40 #ifndef __vax__ 41 extern char __nan[]; 42 #define NAN (*(float *)(void *)__nan) 43 #endif /* !__vax__ */ 44 45 #define FP_INFINITE 0x01 46 #define FP_NAN 0x02 47 #define FP_NORMAL 0x04 48 #define FP_SUBNORMAL 0x08 49 #define FP_ZERO 0x10 50 51 #define FP_ILOGB0 (-INT_MAX) 52 #define FP_ILOGBNAN INT_MAX 53 54 #define fpclassify(x) \ 55 ((sizeof (x) == sizeof (float)) ? \ 56 __fpclassifyf(x) \ 57 : (sizeof (x) == sizeof (double)) ? \ 58 __fpclassify(x) \ 59 : __fpclassifyl(x)) 60 #define isfinite(x) \ 61 ((sizeof (x) == sizeof (float)) ? \ 62 __isfinitef(x) \ 63 : (sizeof (x) == sizeof (double)) ? \ 64 __isfinite(x) \ 65 : __isfinitel(x)) 66 #define isnormal(x) \ 67 ((sizeof (x) == sizeof (float)) ? \ 68 __isnormalf(x) \ 69 : (sizeof (x) == sizeof (double)) ? \ 70 __isnormal(x) \ 71 : __isnormall(x)) 72 #define signbit(x) \ 73 ((sizeof (x) == sizeof (float)) ? \ 74 __signbitf(x) \ 75 : (sizeof (x) == sizeof (double)) ? \ 76 __signbit(x) \ 77 : __signbitl(x)) 78 79 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 80 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 81 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 82 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 83 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 84 ((x) > (y) || (y) > (x))) 85 #define isunordered(x, y) (isnan(x) || isnan(y)) 86 #endif /* __ISO_C_VISIBLE >= 1999 */ 87 88 #define isinf(x) \ 89 ((sizeof (x) == sizeof (float)) ? \ 90 isinff(x) \ 91 : (sizeof (x) == sizeof (double)) ? \ 92 __isinf(x) \ 93 : __isinfl(x)) 94 #define isnan(x) \ 95 ((sizeof (x) == sizeof (float)) ? \ 96 isnanf(x) \ 97 : (sizeof (x) == sizeof (double)) ? \ 98 __isnan(x) \ 99 : __isnanl(x)) 100 101 /* 102 * XOPEN/SVID 103 */ 104 #if __BSD_VISIBLE || __XPG_VISIBLE 105 #define M_E 2.7182818284590452354 /* e */ 106 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 107 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 108 #define M_LN2 0.69314718055994530942 /* log e2 */ 109 #define M_LN10 2.30258509299404568402 /* log e10 */ 110 #define M_PI 3.14159265358979323846 /* pi */ 111 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 112 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 113 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 114 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 115 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 116 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 117 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 118 119 #ifdef __vax__ 120 #define MAXFLOAT ((float)1.70141173319264430e+38) 121 #else 122 #define MAXFLOAT ((float)3.40282346638528860e+38) 123 #endif /* __vax__ */ 124 125 extern int signgam; 126 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 127 128 #if __BSD_VISIBLE 129 #define HUGE MAXFLOAT 130 #endif /* __BSD_VISIBLE */ 131 132 __BEGIN_DECLS 133 /* 134 * ANSI/POSIX 135 */ 136 extern double acos(double); 137 extern double asin(double); 138 extern double atan(double); 139 extern double atan2(double, double); 140 extern double cos(double); 141 extern double sin(double); 142 extern double tan(double); 143 144 extern double cosh(double); 145 extern double sinh(double); 146 extern double tanh(double); 147 148 extern double exp(double); 149 extern double frexp(double, int *); 150 extern double ldexp(double, int); 151 extern double log(double); 152 extern double log10(double); 153 extern double modf(double, double *); 154 155 extern double pow(double, double); 156 extern double sqrt(double); 157 158 extern double ceil(double); 159 extern double fabs(double); 160 extern double floor(double); 161 extern double fmod(double, double); 162 163 /* 164 * C99 165 */ 166 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE 167 extern double acosh(double); 168 extern double asinh(double); 169 extern double atanh(double); 170 171 extern double exp2(double); 172 extern double expm1(double); 173 extern int ilogb(double); 174 extern double log1p(double); 175 extern double log2(double); 176 extern double logb(double); 177 extern double scalbn(double, int); 178 #if 0 179 extern double scalbln(double, long int); 180 #endif 181 182 extern double cbrt(double); 183 extern double hypot(double, double); 184 185 extern double erf(double); 186 extern double erfc(double); 187 extern double lgamma(double); 188 extern double tgamma(double); 189 190 #if 0 191 extern double nearbyint(double); 192 #endif 193 extern double rint(double); 194 extern long int lrint(double); 195 extern long long int llrint(double); 196 extern double round(double); 197 extern long int lround(double); 198 extern long long int llround(double); 199 extern double trunc(double); 200 201 extern double remainder(double, double); 202 extern double remquo(double, double, int *); 203 204 extern double copysign(double, double); 205 extern double nan(const char *); 206 extern double nextafter(double, double); 207 #if 0 208 extern double nexttoward(double, long double); 209 #endif 210 211 extern double fdim(double, double); 212 extern double fmax(double, double); 213 extern double fmin(double, double); 214 215 #if 0 216 extern double fma(double, double, double); 217 #endif 218 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XPG_VISIBLE */ 219 220 #if __BSD_VISIBLE || __XPG_VISIBLE 221 extern double j0(double); 222 extern double j1(double); 223 extern double jn(int, double); 224 extern double scalb(double, double); 225 extern double y0(double); 226 extern double y1(double); 227 extern double yn(int, double); 228 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 229 230 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 231 extern double gamma(double); 232 #endif /* __BSD_VISIBLE || __XPG_VISIBLE <= 500 */ 233 234 /* 235 * BSD math library entry points 236 */ 237 #if __BSD_VISIBLE 238 extern double drem(double, double); 239 extern int finite(double); 240 241 /* 242 * Reentrant version of gamma & lgamma; passes signgam back by reference 243 * as the second argument; user must allocate space for signgam. 244 */ 245 extern double gamma_r(double, int *); 246 extern double lgamma_r(double, int *); 247 248 /* 249 * IEEE Test Vector 250 */ 251 extern double significand(double); 252 #endif /* __BSD_VISIBLE */ 253 254 /* 255 * Float versions of C99 functions 256 */ 257 #if __ISO_C_VISIBLE >= 1999 258 extern float acosf(float); 259 extern float asinf(float); 260 extern float atanf(float); 261 extern float atan2f(float, float); 262 extern float cosf(float); 263 extern float sinf(float); 264 extern float tanf(float); 265 266 extern float acoshf(float); 267 extern float asinhf(float); 268 extern float atanhf(float); 269 extern float coshf(float); 270 extern float sinhf(float); 271 extern float tanhf(float); 272 273 extern float expf(float); 274 extern float exp2f(float); 275 extern float expm1f(float); 276 extern float frexpf(float, int *); 277 extern int ilogbf(float); 278 extern float ldexpf(float, int); 279 extern float logf(float); 280 extern float log10f(float); 281 extern float log1pf(float); 282 extern float log2f(float); 283 extern float logbf(float); 284 extern float modff(float, float *); 285 extern float scalbnf(float, int); 286 #if 0 287 extern float scalblnf(float, long int); 288 #endif 289 290 extern float cbrtf(float); 291 extern float fabsf(float); 292 extern float hypotf(float, float); 293 extern float powf(float, float); 294 extern float sqrtf(float); 295 296 extern float erff(float); 297 extern float erfcf(float); 298 extern float lgammaf(float); 299 extern float tgammaf(float); 300 301 extern float ceilf(float); 302 extern float floorf(float); 303 #if 0 304 extern float nearbyintf(float); 305 #endif 306 extern float rintf(float); 307 extern long int lrintf(float); 308 extern long long int llrintf(float); 309 extern float roundf(float); 310 extern long int lroundf(float); 311 extern long long int llroundf(float); 312 extern float truncf(float); 313 314 extern float fmodf(float, float); 315 extern float remainderf(float, float); 316 extern float remquof(float, float, int *); 317 318 extern float copysignf(float, float); 319 extern float nanf(const char *); 320 extern float nextafterf(float, float); 321 #if 0 322 extern float nexttowardf(float, long double); 323 #endif 324 325 extern float fdimf(float, float); 326 extern float fmaxf(float, float); 327 extern float fminf(float, float); 328 329 #if 0 330 extern float fmaf(float, float, float); 331 #endif 332 #endif /* __ISO_C_VISIBLE >= 1999 */ 333 334 #if __BSD_VISIBLE || __XPG_VISIBLE 335 extern float j0f(float); 336 extern float j1f(float); 337 extern float jnf(int, float); 338 extern float scalbf(float, float); 339 extern float y0f(float); 340 extern float y1f(float); 341 extern float ynf(int, float); 342 #endif /* __BSD_VISIBLE || __XPG_VISIBLE */ 343 344 #if __BSD_VISIBLE || __XPG_VISIBLE <= 500 345 extern 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 extern float dremf(float, float); 353 extern int finitef(float); 354 extern int isinff(float); 355 extern 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 extern float gammaf_r(float, int *); 363 extern float lgammaf_r(float, int *); 364 365 /* 366 * Float version of IEEE Test Vector 367 */ 368 extern float significandf(float); 369 #endif /* __BSD_VISIBLE */ 370 371 /* 372 * Long double versions of C99 functions 373 */ 374 #if __ISO_C_VISIBLE >= 1999 375 #if 0 376 extern long double acosl(long double); 377 extern long double asinl(long double); 378 extern long double atanl(long double); 379 extern long double atan2l(long double, long double); 380 extern long double cosl(long double); 381 extern long double sinl(long double); 382 extern long double tanl(long double); 383 384 extern long double acoshl(long double); 385 extern long double asinhl(long double); 386 extern long double atanhl(long double); 387 extern long double coshl(long double); 388 extern long double sinhl(long double); 389 extern long double tanhl(long double); 390 391 extern long double expl(long double); 392 extern long double exp2l(long double); 393 extern long double expm1l(long double); 394 extern long double frexpl(long double, int *); 395 extern int ilogbl(long double); 396 extern long double ldexpl(long double, int); 397 extern long double logl(long double); 398 extern long double log10l(long double); 399 extern long double log1pl(long double); 400 extern long double log2l(long double); 401 extern long double logbl(long double); 402 extern long double modfl(long double, long double *); 403 extern long double scalbnl(long double, int); 404 extern long double scalblnl(long double, long int); 405 406 extern long double cbrtl(long double); 407 extern long double fabsl(long double); 408 extern long double hypotl(long double, long double); 409 extern long double powl(long double, long double); 410 extern long double sqrtl(long double); 411 412 extern long double erfl(long double); 413 extern long double erfcl(long double); 414 extern long double lgammal(long double); 415 extern long double tgammal(long double); 416 417 extern long double ceill(long double); 418 extern long double floorl(long double); 419 extern long double nearbyintl(long double); 420 extern long double rintl(long double); 421 extern long int lrintl(long double); 422 extern long long int llrintl(long double); 423 extern long double roundl(long double); 424 extern long int lroundl(long double); 425 extern long long int llroundl(long double); 426 extern long double truncl(long double); 427 428 extern long double fmodl(long double, long double); 429 extern long double remainderl(long double, long double); 430 extern long double remquol(long double, long double, int *); 431 432 extern long double copysignl(long double, long double); 433 extern long double nanl(const char *); 434 extern long double nextafterl(long double, long double); 435 extern long double nexttowardl(long double, long double); 436 437 extern long double fdiml(long double, long double); 438 extern long double fmaxl(long double, long double); 439 extern long double fminl(long double, long double); 440 441 extern long double fmal(long double, long double, long double); 442 #endif 443 #endif /* __ISO_C_VISIBLE >= 1999 */ 444 445 /* 446 * Library implementation 447 */ 448 extern int __fpclassify(double); 449 extern int __fpclassifyf(float); 450 extern int __fpclassifyl(long double); 451 extern int __isfinite(double); 452 extern int __isfinitef(float); 453 extern int __isfinitel(long double); 454 extern int __isinf(double); 455 extern int __isinfl(long double); 456 extern int __isnan(double); 457 extern int __isnanl(long double); 458 extern int __isnormal(double); 459 extern int __isnormalf(float); 460 extern int __isnormall(long double); 461 extern int __signbit(double); 462 extern int __signbitf(float); 463 extern int __signbitl(long double); 464 465 #if __BSD_VISIBLE && defined(__vax__) 466 extern double infnan(int); 467 #endif /* __BSD_VISIBLE && defined(__vax__) */ 468 __END_DECLS 469 470 #endif /* !_MATH_H_ */ 471