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 __isnanl(long double) __pure2; 183 int __isnormalf(float) __pure2; 184 int __isnormal(double) __pure2; 185 int __isnormall(long double) __pure2; 186 int __signbit(double) __pure2; 187 int __signbitf(float) __pure2; 188 int __signbitl(long double) __pure2; 189 190 double acos(double); 191 double asin(double); 192 double atan(double); 193 double atan2(double, double); 194 double cos(double); 195 double sin(double); 196 double tan(double); 197 198 double cosh(double); 199 double sinh(double); 200 double tanh(double); 201 202 double exp(double); 203 double frexp(double, int *); /* fundamentally !__pure2 */ 204 double ldexp(double, int); 205 double log(double); 206 double log10(double); 207 double modf(double, double *); /* fundamentally !__pure2 */ 208 209 double pow(double, double); 210 double sqrt(double); 211 212 double ceil(double); 213 double fabs(double) __pure2; 214 double floor(double); 215 double fmod(double, double); 216 217 /* 218 * These functions are not in C90. 219 */ 220 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 221 double acosh(double); 222 double asinh(double); 223 double atanh(double); 224 double cbrt(double); 225 double erf(double); 226 double erfc(double); 227 double exp2(double); 228 double expm1(double); 229 double fma(double, double, double); 230 double hypot(double, double); 231 int ilogb(double) __pure2; 232 int (isinf)(double) __pure2; 233 int (isnan)(double) __pure2; 234 double lgamma(double); 235 long long llrint(double); 236 long long llround(double); 237 double log1p(double); 238 double logb(double); 239 long lrint(double); 240 long lround(double); 241 double nan(const char *) __pure2; 242 double nextafter(double, double); 243 double remainder(double, double); 244 double remquo(double, double, int *); 245 double rint(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 scalb(double, double); 253 double y0(double); 254 double y1(double); 255 double yn(int, double); 256 257 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 258 double gamma(double); 259 #endif 260 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 261 262 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 263 double copysign(double, double) __pure2; 264 double fdim(double, double); 265 double fmax(double, double) __pure2; 266 double fmin(double, double) __pure2; 267 double nearbyint(double); 268 double round(double); 269 double scalbln(double, long); 270 double scalbn(double, int); 271 double tgamma(double); 272 double trunc(double); 273 #endif 274 275 /* 276 * BSD math library entry points 277 */ 278 #if __BSD_VISIBLE 279 double drem(double, double); 280 int finite(double) __pure2; 281 int isnanf(float) __pure2; 282 283 /* 284 * Reentrant version of gamma & lgamma; passes signgam back by reference 285 * as the second argument; user must allocate space for signgam. 286 */ 287 double gamma_r(double, int *); 288 double lgamma_r(double, int *); 289 290 /* 291 * IEEE Test Vector 292 */ 293 double significand(double); 294 #endif /* __BSD_VISIBLE */ 295 296 /* float versions of ANSI/POSIX functions */ 297 #if __ISO_C_VISIBLE >= 1999 298 float acosf(float); 299 float asinf(float); 300 float atanf(float); 301 float atan2f(float, float); 302 float cosf(float); 303 float sinf(float); 304 float tanf(float); 305 306 float coshf(float); 307 float sinhf(float); 308 float tanhf(float); 309 310 float exp2f(float); 311 float expf(float); 312 float expm1f(float); 313 float frexpf(float, int *); /* fundamentally !__pure2 */ 314 int ilogbf(float) __pure2; 315 float ldexpf(float, int); 316 float log10f(float); 317 float log1pf(float); 318 float logf(float); 319 float modff(float, float *); /* fundamentally !__pure2 */ 320 321 float powf(float, float); 322 float sqrtf(float); 323 324 float ceilf(float); 325 float fabsf(float) __pure2; 326 float floorf(float); 327 float fmodf(float, float); 328 float roundf(float); 329 330 float erff(float); 331 float erfcf(float); 332 float hypotf(float, float); 333 float lgammaf(float); 334 float tgammaf(float); 335 336 float acoshf(float); 337 float asinhf(float); 338 float atanhf(float); 339 float cbrtf(float); 340 float logbf(float); 341 float copysignf(float, float) __pure2; 342 long long llrintf(float); 343 long long llroundf(float); 344 long lrintf(float); 345 long lroundf(float); 346 float nanf(const char *) __pure2; 347 float nearbyintf(float); 348 float nextafterf(float, float); 349 float remainderf(float, float); 350 float remquof(float, float, int *); 351 float rintf(float); 352 float scalblnf(float, long); 353 float scalbnf(float, int); 354 float truncf(float); 355 356 float fdimf(float, float); 357 float fmaf(float, float, float); 358 float fmaxf(float, float) __pure2; 359 float fminf(float, float) __pure2; 360 #endif 361 362 /* 363 * float versions of BSD math library entry points 364 */ 365 #if __BSD_VISIBLE 366 float dremf(float, float); 367 int finitef(float) __pure2; 368 float gammaf(float); 369 float j0f(float); 370 float j1f(float); 371 float jnf(int, float); 372 float scalbf(float, float); 373 float y0f(float); 374 float y1f(float); 375 float ynf(int, float); 376 377 /* 378 * Float versions of reentrant version of gamma & lgamma; passes 379 * signgam back by reference as the second argument; user must 380 * allocate space for signgam. 381 */ 382 float gammaf_r(float, int *); 383 float lgammaf_r(float, int *); 384 385 /* 386 * float version of IEEE Test Vector 387 */ 388 float significandf(float); 389 #endif /* __BSD_VISIBLE */ 390 391 /* 392 * long double versions of ISO/POSIX math functions 393 */ 394 #if __ISO_C_VISIBLE >= 1999 395 #if 0 396 long double acoshl(long double); 397 #endif 398 long double acosl(long double); 399 #if 0 400 long double asinhl(long double); 401 #endif 402 long double asinl(long double); 403 long double atan2l(long double, long double); 404 #if 0 405 long double atanhl(long double); 406 #endif 407 long double atanl(long double); 408 #if 0 409 long double cbrtl(long double); 410 #endif 411 long double ceill(long double); 412 long double copysignl(long double, long double) __pure2; 413 #if 0 414 long double coshl(long double); 415 #endif 416 long double cosl(long double); 417 #if 0 418 long double erfcl(long double); 419 long double erfl(long double); 420 #endif 421 long double exp2l(long double); 422 #if 0 423 long double expl(long double); 424 long double expm1l(long double); 425 #endif 426 long double fabsl(long double) __pure2; 427 long double fdiml(long double, long double); 428 long double floorl(long double); 429 long double fmal(long double, long double, long double); 430 long double fmaxl(long double, long double) __pure2; 431 long double fminl(long double, long double) __pure2; 432 long double fmodl(long double, long double); 433 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 434 long double hypotl(long double, long double); 435 int ilogbl(long double) __pure2; 436 long double ldexpl(long double, int); 437 #if 0 438 long double lgammal(long double); 439 #endif 440 long long llrintl(long double); 441 long long llroundl(long double); 442 #if 0 443 long double log10l(long double); 444 long double log1pl(long double); 445 long double log2l(long double); 446 #endif 447 long double logbl(long double); 448 #if 0 449 long double logl(long double); 450 #endif 451 long lrintl(long double); 452 long lroundl(long double); 453 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 454 long double nanl(const char *) __pure2; 455 long double nearbyintl(long double); 456 long double nextafterl(long double, long double); 457 double nexttoward(double, long double); 458 float nexttowardf(float, long double); 459 long double nexttowardl(long double, long double); 460 #if 0 461 long double powl(long double, long double); 462 #endif 463 long double remainderl(long double, long double); 464 long double remquol(long double, long double, int *); 465 long double rintl(long double); 466 long double roundl(long double); 467 long double scalblnl(long double, long); 468 long double scalbnl(long double, int); 469 #if 0 470 long double sinhl(long double); 471 #endif 472 long double sinl(long double); 473 long double sqrtl(long double); 474 #if 0 475 long double tanhl(long double); 476 #endif 477 long double tanl(long double); 478 #if 0 479 long double tgammal(long double); 480 #endif 481 long double truncl(long double); 482 483 #endif /* __ISO_C_VISIBLE >= 1999 */ 484 __END_DECLS 485 486 #endif /* !_MATH_H_ */ 487