1 /* 2 * ==================================================== 3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 4 * 5 * Developed at SunPro, a Sun Microsystems, Inc. business. 6 * Permission to use, copy, modify, and distribute this 7 * software is freely granted, provided that this notice 8 * is preserved. 9 * ==================================================== 10 */ 11 12 /* 13 * from: @(#)fdlibm.h 5.1 93/09/24 14 * $FreeBSD$ 15 */ 16 17 #ifndef _MATH_H_ 18 #define _MATH_H_ 19 20 #include <sys/cdefs.h> 21 #include <sys/_types.h> 22 #include <machine/_limits.h> 23 24 /* 25 * ANSI/POSIX 26 */ 27 extern const union __infinity_un { 28 unsigned char __uc[8]; 29 double __ud; 30 } __infinity; 31 32 extern const union __nan_un { 33 unsigned char __uc[sizeof(float)]; 34 float __uf; 35 } __nan; 36 37 #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) 38 #define __MATH_BUILTIN_CONSTANTS 39 #endif 40 41 #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) 42 #define __MATH_BUILTIN_RELOPS 43 #endif 44 45 #ifdef __MATH_BUILTIN_CONSTANTS 46 #define HUGE_VAL __builtin_huge_val() 47 #else 48 #define HUGE_VAL (__infinity.__ud) 49 #endif 50 51 #if __ISO_C_VISIBLE >= 1999 52 #define FP_ILOGB0 (-__INT_MAX) 53 #define FP_ILOGBNAN __INT_MAX 54 55 #ifdef __MATH_BUILTIN_CONSTANTS 56 #define HUGE_VALF __builtin_huge_valf() 57 #define HUGE_VALL __builtin_huge_vall() 58 #define INFINITY __builtin_inf() 59 #define NAN __builtin_nan("") 60 #else 61 #define HUGE_VALF (float)HUGE_VAL 62 #define HUGE_VALL (long double)HUGE_VAL 63 #define INFINITY HUGE_VALF 64 #define NAN (__nan.__uf) 65 #endif /* __MATH_BUILTIN_CONSTANTS */ 66 67 #define MATH_ERRNO 1 68 #define MATH_ERREXCEPT 2 69 #define math_errhandling MATH_ERREXCEPT 70 71 #ifdef __ia64__ 72 #define FP_FAST_FMA 73 #endif 74 #define FP_FAST_FMAF 75 76 /* Symbolic constants to classify floating point numbers. */ 77 #define FP_INFINITE 0x01 78 #define FP_NAN 0x02 79 #define FP_NORMAL 0x04 80 #define FP_SUBNORMAL 0x08 81 #define FP_ZERO 0x10 82 #define fpclassify(x) \ 83 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 84 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 85 : __fpclassifyl(x)) 86 87 #define isfinite(x) \ 88 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 89 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 90 : __isfinitel(x)) 91 #define isinf(x) \ 92 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 93 : (sizeof (x) == sizeof (double)) ? isinf(x) \ 94 : __isinfl(x)) 95 #define isnan(x) \ 96 ((sizeof (x) == sizeof (float)) ? isnanf(x) \ 97 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 98 : __isnanl(x)) 99 #define isnormal(x) \ 100 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 101 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 102 : __isnormall(x)) 103 104 #ifdef __MATH_BUILTIN_RELOPS 105 #define isgreater(x, y) __builtin_isgreater((x), (y)) 106 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 107 #define isless(x, y) __builtin_isless((x), (y)) 108 #define islessequal(x, y) __builtin_islessequal((x), (y)) 109 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 110 #define isunordered(x, y) __builtin_isunordered((x), (y)) 111 #else 112 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 113 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 114 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 115 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 116 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 117 ((x) > (y) || (y) > (x))) 118 #define isunordered(x, y) (isnan(x) || isnan(y)) 119 #endif /* __MATH_BUILTIN_RELOPS */ 120 121 #define signbit(x) \ 122 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 123 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 124 : __signbitl(x)) 125 126 typedef __double_t double_t; 127 typedef __float_t float_t; 128 #endif /* __ISO_C_VISIBLE >= 1999 */ 129 130 /* 131 * XOPEN/SVID 132 */ 133 #if __BSD_VISIBLE || __XSI_VISIBLE 134 #define M_E 2.7182818284590452354 /* e */ 135 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 136 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 137 #define M_LN2 0.69314718055994530942 /* log e2 */ 138 #define M_LN10 2.30258509299404568402 /* log e10 */ 139 #define M_PI 3.14159265358979323846 /* pi */ 140 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 141 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 142 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 143 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 144 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 145 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 146 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 147 148 #define MAXFLOAT ((float)3.40282346638528860e+38) 149 extern int signgam; 150 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 151 152 #if __BSD_VISIBLE 153 #if 0 154 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 155 #define HUGE HUGE_VAL 156 #else 157 #define HUGE MAXFLOAT 158 #endif 159 #endif /* __BSD_VISIBLE */ 160 161 /* 162 * Most of these functions depend on the rounding mode and have the side 163 * effect of raising floating-point exceptions, so they are not declared 164 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 165 */ 166 __BEGIN_DECLS 167 /* 168 * ANSI/POSIX 169 */ 170 int __fpclassifyd(double) __pure2; 171 int __fpclassifyf(float) __pure2; 172 int __fpclassifyl(long double) __pure2; 173 int __isfinitef(float) __pure2; 174 int __isfinite(double) __pure2; 175 int __isfinitel(long double) __pure2; 176 int __isinff(float) __pure2; 177 int __isinfl(long double) __pure2; 178 int __isnanl(long double) __pure2; 179 int __isnormalf(float) __pure2; 180 int __isnormal(double) __pure2; 181 int __isnormall(long double) __pure2; 182 int __signbit(double) __pure2; 183 int __signbitf(float) __pure2; 184 int __signbitl(long double) __pure2; 185 186 double acos(double); 187 double asin(double); 188 double atan(double); 189 double atan2(double, double); 190 double cos(double); 191 double sin(double); 192 double tan(double); 193 194 double cosh(double); 195 double sinh(double); 196 double tanh(double); 197 198 double exp(double); 199 double frexp(double, int *); /* fundamentally !__pure2 */ 200 double ldexp(double, int); 201 double log(double); 202 double log10(double); 203 double modf(double, double *); /* fundamentally !__pure2 */ 204 205 double pow(double, double); 206 double sqrt(double); 207 208 double ceil(double); 209 double fabs(double) __pure2; 210 double floor(double); 211 double fmod(double, double); 212 213 /* 214 * These functions are not in C90. 215 */ 216 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 217 double acosh(double); 218 double asinh(double); 219 double atanh(double); 220 double cbrt(double); 221 double erf(double); 222 double erfc(double); 223 double expm1(double); 224 double hypot(double, double); 225 /* Our ilogb raises no exceptions; we side with IEEE-754R and C99, not POSIX */ 226 int ilogb(double) __pure2; 227 int (isinf)(double) __pure2; 228 int (isnan)(double) __pure2; 229 double lgamma(double); 230 long long llrint(double); 231 long long llround(double); 232 double log1p(double); 233 double logb(double); 234 long lrint(double); 235 long lround(double); 236 double nextafter(double, double); 237 double remainder(double, double); 238 double rint(double); 239 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 240 241 #if __BSD_VISIBLE || __XSI_VISIBLE 242 double j0(double); 243 double j1(double); 244 double jn(int, double); 245 double scalb(double, double); 246 double y0(double); 247 double y1(double); 248 double yn(int, double); 249 250 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 251 double gamma(double); 252 #endif 253 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 254 255 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 256 double copysign(double, double) __pure2; 257 double fdim(double, double); 258 double fmax(double, double) __pure2; 259 double fmin(double, double) __pure2; 260 double nearbyint(double); 261 double round(double); 262 double scalbln(double, long); 263 double scalbn(double, int); 264 double tgamma(double); 265 double trunc(double); 266 #endif 267 268 /* 269 * BSD math library entry points 270 */ 271 #if __BSD_VISIBLE 272 double drem(double, double); 273 int finite(double) __pure2; 274 int isnanf(float) __pure2; 275 276 /* 277 * Reentrant version of gamma & lgamma; passes signgam back by reference 278 * as the second argument; user must allocate space for signgam. 279 */ 280 double gamma_r(double, int *); 281 double lgamma_r(double, int *); 282 283 /* 284 * IEEE Test Vector 285 */ 286 double significand(double); 287 #endif /* __BSD_VISIBLE */ 288 289 /* float versions of ANSI/POSIX functions */ 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 coshf(float); 300 float sinhf(float); 301 float tanhf(float); 302 303 float expf(float); 304 float expm1f(float); 305 float frexpf(float, int *); /* fundamentally !__pure2 */ 306 int ilogbf(float) __pure2; 307 float ldexpf(float, int); 308 float log10f(float); 309 float log1pf(float); 310 float logf(float); 311 float modff(float, float *); /* fundamentally !__pure2 */ 312 313 float powf(float, float); 314 float sqrtf(float); 315 316 float ceilf(float); 317 float fabsf(float) __pure2; 318 float floorf(float); 319 float fmodf(float, float); 320 float roundf(float); 321 322 float erff(float); 323 float erfcf(float); 324 float hypotf(float, float); 325 float lgammaf(float); 326 327 float acoshf(float); 328 float asinhf(float); 329 float atanhf(float); 330 float cbrtf(float); 331 float logbf(float); 332 float copysignf(float, float) __pure2; 333 long long llrintf(float); 334 long long llroundf(float); 335 long lrintf(float); 336 long lroundf(float); 337 float nearbyintf(float); 338 float nextafterf(float, float); 339 float remainderf(float, float); 340 float rintf(float); 341 float scalblnf(float, long); 342 float scalbnf(float, int); 343 float truncf(float); 344 345 float fdimf(float, float); 346 float fmaxf(float, float) __pure2; 347 float fminf(float, float) __pure2; 348 #endif 349 350 /* 351 * float versions of BSD math library entry points 352 */ 353 #if __BSD_VISIBLE 354 float dremf(float, float); 355 int finitef(float) __pure2; 356 float gammaf(float); 357 float j0f(float); 358 float j1f(float); 359 float jnf(int, float); 360 float scalbf(float, float); 361 float y0f(float); 362 float y1f(float); 363 float ynf(int, float); 364 365 /* 366 * Float versions of reentrant version of gamma & lgamma; passes 367 * signgam back by reference as the second argument; user must 368 * allocate space for signgam. 369 */ 370 float gammaf_r(float, int *); 371 float lgammaf_r(float, int *); 372 373 /* 374 * float version of IEEE Test Vector 375 */ 376 float significandf(float); 377 #endif /* __BSD_VISIBLE */ 378 379 /* 380 * long double versions of ISO/POSIX math functions 381 */ 382 #if __ISO_C_VISIBLE >= 1999 383 #if 0 384 long double acoshl(long double); 385 long double acosl(long double); 386 long double asinhl(long double); 387 long double asinl(long double); 388 long double atan2l(long double, long double); 389 long double atanhl(long double); 390 long double atanl(long double); 391 long double cbrtl(long double); 392 #endif 393 long double ceill(long double); 394 long double copysignl(long double, long double) __pure2; 395 #if 0 396 long double coshl(long double); 397 long double cosl(long double); 398 long double erfcl(long double); 399 long double erfl(long double); 400 long double exp2l(long double); 401 long double expl(long double); 402 long double expm1l(long double); 403 #endif 404 long double fabsl(long double) __pure2; 405 long double fdiml(long double, long double); 406 long double floorl(long double); 407 #if 0 408 long double fmal(long double, long double, long double); 409 #endif 410 long double fmaxl(long double, long double) __pure2; 411 long double fminl(long double, long double) __pure2; 412 #if 0 413 long double fmodl(long double, long double); 414 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 415 long double hypotl(long double, long double); 416 #endif 417 int ilogbl(long double) __pure2; 418 #if 0 419 long double ldexpl(long double, int); 420 long double lgammal(long double); 421 long long llrintl(long double); 422 long long llroundl(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 logl(long double); 428 long lrintl(long double); 429 long lroundl(long double); 430 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 431 long double nanl(const char *) __pure2; 432 long double nearbyintl(long double); 433 long double nextafterl(long double, long double); 434 double nexttoward(double, long double); 435 float nexttowardf(float, long double); 436 long double nexttowardl(long double, long double); 437 long double powl(long double, long double); 438 long double remainderl(long double, long double); 439 long double remquol(long double, long double, int *); 440 long double rintl(long double); 441 long double roundl(long double); 442 long double scalblnl(long double, long); 443 long double scalbnl(long double, int); 444 long double sinhl(long double); 445 long double sinl(long double); 446 long double sqrtl(long double); 447 long double tanhl(long double); 448 long double tanl(long double); 449 long double tgammal(long double); 450 long double truncl(long double); 451 #endif 452 453 #endif /* __ISO_C_VISIBLE >= 1999 */ 454 __END_DECLS 455 456 #endif /* !_MATH_H_ */ 457