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_inff() 59 #define NAN __builtin_nanf("") 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 /* XXX We need a <machine/math.h>. */ 72 #if defined(__ia64__) || defined(__sparc64__) 73 #define FP_FAST_FMA 1 74 #endif 75 #ifdef __ia64__ 76 #define FP_FAST_FMAL 1 77 #endif 78 #define FP_FAST_FMAF 1 79 80 /* Symbolic constants to classify floating point numbers. */ 81 #define FP_INFINITE 0x01 82 #define FP_NAN 0x02 83 #define FP_NORMAL 0x04 84 #define FP_SUBNORMAL 0x08 85 #define FP_ZERO 0x10 86 #define fpclassify(x) \ 87 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 88 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 89 : __fpclassifyl(x)) 90 91 #define isfinite(x) \ 92 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 93 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 94 : __isfinitel(x)) 95 #define isinf(x) \ 96 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 97 : (sizeof (x) == sizeof (double)) ? isinf(x) \ 98 : __isinfl(x)) 99 #define isnan(x) \ 100 ((sizeof (x) == sizeof (float)) ? __isnanf(x) \ 101 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 102 : __isnanl(x)) 103 #define isnormal(x) \ 104 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 105 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 106 : __isnormall(x)) 107 108 #ifdef __MATH_BUILTIN_RELOPS 109 #define isgreater(x, y) __builtin_isgreater((x), (y)) 110 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 111 #define isless(x, y) __builtin_isless((x), (y)) 112 #define islessequal(x, y) __builtin_islessequal((x), (y)) 113 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 114 #define isunordered(x, y) __builtin_isunordered((x), (y)) 115 #else 116 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 117 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 118 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 119 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 120 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 121 ((x) > (y) || (y) > (x))) 122 #define isunordered(x, y) (isnan(x) || isnan(y)) 123 #endif /* __MATH_BUILTIN_RELOPS */ 124 125 #define signbit(x) \ 126 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 127 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 128 : __signbitl(x)) 129 130 typedef __double_t double_t; 131 typedef __float_t float_t; 132 #endif /* __ISO_C_VISIBLE >= 1999 */ 133 134 /* 135 * XOPEN/SVID 136 */ 137 #if __BSD_VISIBLE || __XSI_VISIBLE 138 #define M_E 2.7182818284590452354 /* e */ 139 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 140 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 141 #define M_LN2 0.69314718055994530942 /* log e2 */ 142 #define M_LN10 2.30258509299404568402 /* log e10 */ 143 #define M_PI 3.14159265358979323846 /* pi */ 144 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 145 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 146 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 147 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 148 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 149 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 150 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 151 152 #define MAXFLOAT ((float)3.40282346638528860e+38) 153 extern int signgam; 154 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 155 156 #if __BSD_VISIBLE 157 #if 0 158 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 159 #define HUGE HUGE_VAL 160 #else 161 #define HUGE MAXFLOAT 162 #endif 163 #endif /* __BSD_VISIBLE */ 164 165 /* 166 * Most of these functions depend on the rounding mode and have the side 167 * effect of raising floating-point exceptions, so they are not declared 168 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 169 */ 170 __BEGIN_DECLS 171 /* 172 * ANSI/POSIX 173 */ 174 int __fpclassifyd(double) __pure2; 175 int __fpclassifyf(float) __pure2; 176 int __fpclassifyl(long double) __pure2; 177 int __isfinitef(float) __pure2; 178 int __isfinite(double) __pure2; 179 int __isfinitel(long double) __pure2; 180 int __isinff(float) __pure2; 181 int __isinfl(long double) __pure2; 182 int __isnanf(float) __pure2; 183 int __isnanl(long double) __pure2; 184 int __isnormalf(float) __pure2; 185 int __isnormal(double) __pure2; 186 int __isnormall(long double) __pure2; 187 int __signbit(double) __pure2; 188 int __signbitf(float) __pure2; 189 int __signbitl(long double) __pure2; 190 191 double acos(double); 192 double asin(double); 193 double atan(double); 194 double atan2(double, double); 195 double cos(double); 196 double sin(double); 197 double tan(double); 198 199 double cosh(double); 200 double sinh(double); 201 double tanh(double); 202 203 double exp(double); 204 double frexp(double, int *); /* fundamentally !__pure2 */ 205 double ldexp(double, int); 206 double log(double); 207 double log10(double); 208 double modf(double, double *); /* fundamentally !__pure2 */ 209 210 double pow(double, double); 211 double sqrt(double); 212 213 double ceil(double); 214 double fabs(double) __pure2; 215 double floor(double); 216 double fmod(double, double); 217 218 /* 219 * These functions are not in C90. 220 */ 221 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 222 double acosh(double); 223 double asinh(double); 224 double atanh(double); 225 double cbrt(double); 226 double erf(double); 227 double erfc(double); 228 double exp2(double); 229 double expm1(double); 230 double fma(double, double, double); 231 double hypot(double, double); 232 int ilogb(double) __pure2; 233 int (isinf)(double) __pure2; 234 int (isnan)(double) __pure2; 235 double lgamma(double); 236 long long llrint(double); 237 long long llround(double); 238 double log1p(double); 239 double log2(double); 240 double logb(double); 241 long lrint(double); 242 long lround(double); 243 double nan(const char *) __pure2; 244 double nextafter(double, double); 245 double remainder(double, double); 246 double remquo(double, double, int *); 247 double rint(double); 248 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 249 250 #if __BSD_VISIBLE || __XSI_VISIBLE 251 double j0(double); 252 double j1(double); 253 double jn(int, double); 254 double y0(double); 255 double y1(double); 256 double yn(int, double); 257 258 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 259 double gamma(double); 260 #endif 261 262 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 263 double scalb(double, double); 264 #endif 265 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 266 267 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 268 double copysign(double, double) __pure2; 269 double fdim(double, double); 270 double fmax(double, double) __pure2; 271 double fmin(double, double) __pure2; 272 double nearbyint(double); 273 double round(double); 274 double scalbln(double, long); 275 double scalbn(double, int); 276 double tgamma(double); 277 double trunc(double); 278 #endif 279 280 /* 281 * BSD math library entry points 282 */ 283 #if __BSD_VISIBLE 284 double drem(double, double); 285 int finite(double) __pure2; 286 int isnanf(float) __pure2; 287 288 /* 289 * Reentrant version of gamma & lgamma; passes signgam back by reference 290 * as the second argument; user must allocate space for signgam. 291 */ 292 double gamma_r(double, int *); 293 double lgamma_r(double, int *); 294 295 /* 296 * IEEE Test Vector 297 */ 298 double significand(double); 299 #endif /* __BSD_VISIBLE */ 300 301 /* float versions of ANSI/POSIX functions */ 302 #if __ISO_C_VISIBLE >= 1999 303 float acosf(float); 304 float asinf(float); 305 float atanf(float); 306 float atan2f(float, float); 307 float cosf(float); 308 float sinf(float); 309 float tanf(float); 310 311 float coshf(float); 312 float sinhf(float); 313 float tanhf(float); 314 315 float exp2f(float); 316 float expf(float); 317 float expm1f(float); 318 float frexpf(float, int *); /* fundamentally !__pure2 */ 319 int ilogbf(float) __pure2; 320 float ldexpf(float, int); 321 float log10f(float); 322 float log1pf(float); 323 float log2f(float); 324 float logf(float); 325 float modff(float, float *); /* fundamentally !__pure2 */ 326 327 float powf(float, float); 328 float sqrtf(float); 329 330 float ceilf(float); 331 float fabsf(float) __pure2; 332 float floorf(float); 333 float fmodf(float, float); 334 float roundf(float); 335 336 float erff(float); 337 float erfcf(float); 338 float hypotf(float, float); 339 float lgammaf(float); 340 float tgammaf(float); 341 342 float acoshf(float); 343 float asinhf(float); 344 float atanhf(float); 345 float cbrtf(float); 346 float logbf(float); 347 float copysignf(float, float) __pure2; 348 long long llrintf(float); 349 long long llroundf(float); 350 long lrintf(float); 351 long lroundf(float); 352 float nanf(const char *) __pure2; 353 float nearbyintf(float); 354 float nextafterf(float, float); 355 float remainderf(float, float); 356 float remquof(float, float, int *); 357 float rintf(float); 358 float scalblnf(float, long); 359 float scalbnf(float, int); 360 float truncf(float); 361 362 float fdimf(float, float); 363 float fmaf(float, float, float); 364 float fmaxf(float, float) __pure2; 365 float fminf(float, float) __pure2; 366 #endif 367 368 /* 369 * float versions of BSD math library entry points 370 */ 371 #if __BSD_VISIBLE 372 float dremf(float, float); 373 int finitef(float) __pure2; 374 float gammaf(float); 375 float j0f(float); 376 float j1f(float); 377 float jnf(int, float); 378 float scalbf(float, float); 379 float y0f(float); 380 float y1f(float); 381 float ynf(int, float); 382 383 /* 384 * Float versions of reentrant version of gamma & lgamma; passes 385 * signgam back by reference as the second argument; user must 386 * allocate space for signgam. 387 */ 388 float gammaf_r(float, int *); 389 float lgammaf_r(float, int *); 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 ISO/POSIX math functions 399 */ 400 #if __ISO_C_VISIBLE >= 1999 401 #if 0 402 long double acoshl(long double); 403 #endif 404 long double acosl(long double); 405 #if 0 406 long double asinhl(long double); 407 #endif 408 long double asinl(long double); 409 long double atan2l(long double, long double); 410 #if 0 411 long double atanhl(long double); 412 #endif 413 long double atanl(long double); 414 long double cbrtl(long double); 415 long double ceill(long double); 416 long double copysignl(long double, long double) __pure2; 417 #if 0 418 long double coshl(long double); 419 #endif 420 long double cosl(long double); 421 #if 0 422 long double erfcl(long double); 423 long double erfl(long double); 424 #endif 425 long double exp2l(long double); 426 #if 0 427 long double expl(long double); 428 long double expm1l(long double); 429 #endif 430 long double fabsl(long double) __pure2; 431 long double fdiml(long double, long double); 432 long double floorl(long double); 433 long double fmal(long double, long double, long double); 434 long double fmaxl(long double, long double) __pure2; 435 long double fminl(long double, long double) __pure2; 436 long double fmodl(long double, long double); 437 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 438 long double hypotl(long double, long double); 439 int ilogbl(long double) __pure2; 440 long double ldexpl(long double, int); 441 #if 0 442 long double lgammal(long double); 443 #endif 444 long long llrintl(long double); 445 long long llroundl(long double); 446 #if 0 447 long double log10l(long double); 448 long double log1pl(long double); 449 long double log2l(long double); 450 #endif 451 long double logbl(long double); 452 #if 0 453 long double logl(long double); 454 #endif 455 long lrintl(long double); 456 long lroundl(long double); 457 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 458 long double nanl(const char *) __pure2; 459 long double nearbyintl(long double); 460 long double nextafterl(long double, long double); 461 double nexttoward(double, long double); 462 float nexttowardf(float, long double); 463 long double nexttowardl(long double, long double); 464 #if 0 465 long double powl(long double, long double); 466 #endif 467 long double remainderl(long double, long double); 468 long double remquol(long double, long double, int *); 469 long double rintl(long double); 470 long double roundl(long double); 471 long double scalblnl(long double, long); 472 long double scalbnl(long double, int); 473 #if 0 474 long double sinhl(long double); 475 #endif 476 long double sinl(long double); 477 long double sqrtl(long double); 478 #if 0 479 long double tanhl(long double); 480 #endif 481 long double tanl(long double); 482 #if 0 483 long double tgammal(long double); 484 #endif 485 long double truncl(long double); 486 487 #endif /* __ISO_C_VISIBLE >= 1999 */ 488 __END_DECLS 489 490 #endif /* !_MATH_H_ */ 491