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 <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) /* Android-changed */ 53 #define FP_ILOGBNAN INT_MAX /* Android-changed */ 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 #define FP_FAST_FMAF 1 72 #ifdef __ia64__ 73 #define FP_FAST_FMA 1 74 #define FP_FAST_FMAL 1 75 #endif 76 77 /* Symbolic constants to classify floating point numbers. */ 78 #define FP_INFINITE 0x01 79 #define FP_NAN 0x02 80 #define FP_NORMAL 0x04 81 #define FP_SUBNORMAL 0x08 82 #define FP_ZERO 0x10 83 #define fpclassify(x) \ 84 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 85 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 86 : __fpclassifyl(x)) 87 88 #define isfinite(x) \ 89 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 90 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 91 : __isfinitel(x)) 92 #define isinf(x) \ 93 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 94 : (sizeof (x) == sizeof (double)) ? isinf(x) \ 95 : __isinfl(x)) 96 #define isnan(x) \ 97 ((sizeof (x) == sizeof (float)) ? __isnanf(x) \ 98 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 99 : __isnanl(x)) 100 #define isnormal(x) \ 101 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 102 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 103 : __isnormall(x)) 104 105 #ifdef __MATH_BUILTIN_RELOPS 106 #define isgreater(x, y) __builtin_isgreater((x), (y)) 107 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 108 #define isless(x, y) __builtin_isless((x), (y)) 109 #define islessequal(x, y) __builtin_islessequal((x), (y)) 110 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 111 #define isunordered(x, y) __builtin_isunordered((x), (y)) 112 #else 113 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 114 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 115 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 116 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 117 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 118 ((x) > (y) || (y) > (x))) 119 #define isunordered(x, y) (isnan(x) || isnan(y)) 120 #endif /* __MATH_BUILTIN_RELOPS */ 121 122 #define signbit(x) \ 123 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 124 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 125 : __signbitl(x)) 126 127 typedef __double_t double_t; 128 typedef __float_t float_t; 129 #endif /* __ISO_C_VISIBLE >= 1999 */ 130 131 /* 132 * XOPEN/SVID 133 */ 134 #if __BSD_VISIBLE || __XSI_VISIBLE 135 #define M_E 2.7182818284590452354 /* e */ 136 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 137 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 138 #define M_LN2 0.69314718055994530942 /* log e2 */ 139 #define M_LN10 2.30258509299404568402 /* log e10 */ 140 #define M_PI 3.14159265358979323846 /* pi */ 141 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 142 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 143 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 144 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 145 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 146 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 147 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 148 149 #define MAXFLOAT ((float)3.40282346638528860e+38) 150 extern int signgam; 151 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 152 153 #if __BSD_VISIBLE 154 #if 0 155 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 156 #define HUGE HUGE_VAL 157 #else 158 #define HUGE MAXFLOAT 159 #endif 160 #endif /* __BSD_VISIBLE */ 161 162 /* 163 * Most of these functions depend on the rounding mode and have the side 164 * effect of raising floating-point exceptions, so they are not declared 165 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 166 */ 167 __BEGIN_DECLS 168 /* 169 * ANSI/POSIX 170 */ 171 int __fpclassifyd(double) __pure2; 172 int __fpclassifyf(float) __pure2; 173 int __fpclassifyl(long double) __pure2; 174 int __isfinitef(float) __pure2; 175 int __isfinite(double) __pure2; 176 int __isfinitel(long double) __pure2; 177 int __isinff(float) __pure2; 178 int __isinfl(long double) __pure2; 179 int __isnanf(float) __pure2; 180 int __isnanl(long double) __pure2; 181 int __isnormalf(float) __pure2; 182 int __isnormal(double) __pure2; 183 int __isnormall(long double) __pure2; 184 int __signbit(double) __pure2; 185 int __signbitf(float) __pure2; 186 int __signbitl(long double) __pure2; 187 188 double acos(double); 189 double asin(double); 190 double atan(double); 191 double atan2(double, double); 192 double cos(double); 193 double sin(double); 194 double tan(double); 195 196 double cosh(double); 197 double sinh(double); 198 double tanh(double); 199 200 double exp(double); 201 double frexp(double, int *); /* fundamentally !__pure2 */ 202 double ldexp(double, int); 203 double log(double); 204 double log10(double); 205 double modf(double, double *); /* fundamentally !__pure2 */ 206 207 double pow(double, double); 208 double sqrt(double); 209 210 double ceil(double); 211 double fabs(double) __pure2; 212 double floor(double); 213 double fmod(double, double); 214 215 /* 216 * These functions are not in C90. 217 */ 218 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 219 double acosh(double); 220 double asinh(double); 221 double atanh(double); 222 double cbrt(double); 223 double erf(double); 224 double erfc(double); 225 double exp2(double); 226 double expm1(double); 227 double fma(double, double, double); 228 double hypot(double, double); 229 int ilogb(double) __pure2; 230 int (isinf)(double) __pure2; 231 int (isnan)(double) __pure2; 232 double lgamma(double); 233 long long llrint(double); 234 long long llround(double); 235 double log1p(double); 236 double log2(double); 237 double logb(double); 238 long lrint(double); 239 long lround(double); 240 double nan(const char *) __pure2; 241 double nextafter(double, double); 242 double remainder(double, double); 243 double remquo(double, double, int *); 244 double rint(double); 245 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 246 247 #if __BSD_VISIBLE || __XSI_VISIBLE 248 double j0(double); 249 double j1(double); 250 double jn(int, double); 251 double y0(double); 252 double y1(double); 253 double yn(int, double); 254 255 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 256 double gamma(double); 257 #endif 258 259 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 260 double scalb(double, double); 261 #endif 262 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 263 264 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 265 double copysign(double, double) __pure2; 266 double fdim(double, double); 267 double fmax(double, double) __pure2; 268 double fmin(double, double) __pure2; 269 double nearbyint(double); 270 double round(double); 271 double scalbln(double, long); 272 double scalbn(double, int); 273 double tgamma(double); 274 double trunc(double); 275 #endif 276 277 /* 278 * BSD math library entry points 279 */ 280 #if __BSD_VISIBLE 281 double drem(double, double); 282 int finite(double) __pure2; 283 int isnanf(float) __pure2; 284 285 /* 286 * Reentrant version of gamma & lgamma; passes signgam back by reference 287 * as the second argument; user must allocate space for signgam. 288 */ 289 double gamma_r(double, int *); 290 double lgamma_r(double, int *); 291 292 /* 293 * IEEE Test Vector 294 */ 295 double significand(double); 296 #endif /* __BSD_VISIBLE */ 297 298 /* float versions of ANSI/POSIX functions */ 299 #if __ISO_C_VISIBLE >= 1999 300 float acosf(float); 301 float asinf(float); 302 float atanf(float); 303 float atan2f(float, float); 304 float cosf(float); 305 float sinf(float); 306 float tanf(float); 307 308 float coshf(float); 309 float sinhf(float); 310 float tanhf(float); 311 312 float exp2f(float); 313 float expf(float); 314 float expm1f(float); 315 float frexpf(float, int *); /* fundamentally !__pure2 */ 316 int ilogbf(float) __pure2; 317 float ldexpf(float, int); 318 float log10f(float); 319 float log1pf(float); 320 float log2f(float); 321 float logf(float); 322 float modff(float, float *); /* fundamentally !__pure2 */ 323 324 float powf(float, float); 325 float sqrtf(float); 326 327 float ceilf(float); 328 float fabsf(float) __pure2; 329 float floorf(float); 330 float fmodf(float, float); 331 float roundf(float); 332 333 float erff(float); 334 float erfcf(float); 335 float hypotf(float, float); 336 float lgammaf(float); 337 float tgammaf(float); 338 339 float acoshf(float); 340 float asinhf(float); 341 float atanhf(float); 342 float cbrtf(float); 343 float logbf(float); 344 float copysignf(float, float) __pure2; 345 long long llrintf(float); 346 long long llroundf(float); 347 long lrintf(float); 348 long lroundf(float); 349 float nanf(const char *) __pure2; 350 float nearbyintf(float); 351 float nextafterf(float, float); 352 float remainderf(float, float); 353 float remquof(float, float, int *); 354 float rintf(float); 355 float scalblnf(float, long); 356 float scalbnf(float, int); 357 float truncf(float); 358 359 float fdimf(float, float); 360 float fmaf(float, float, float); 361 float fmaxf(float, float) __pure2; 362 float fminf(float, float) __pure2; 363 #endif 364 365 /* 366 * float versions of BSD math library entry points 367 */ 368 #if __BSD_VISIBLE 369 float dremf(float, float); 370 int finitef(float) __pure2; 371 float gammaf(float); 372 float j0f(float); 373 float j1f(float); 374 float jnf(int, float); 375 float scalbf(float, float); 376 float y0f(float); 377 float y1f(float); 378 float ynf(int, float); 379 380 /* 381 * Float versions of reentrant version of gamma & lgamma; passes 382 * signgam back by reference as the second argument; user must 383 * allocate space for signgam. 384 */ 385 float gammaf_r(float, int *); 386 float lgammaf_r(float, int *); 387 388 /* 389 * float version of IEEE Test Vector 390 */ 391 float significandf(float); 392 #endif /* __BSD_VISIBLE */ 393 394 /* 395 * long double versions of ISO/POSIX math functions 396 */ 397 #if __ISO_C_VISIBLE >= 1999 398 long double acosl(long double); 399 long double asinl(long double); 400 long double atan2l(long double, long double); 401 long double atanl(long double); 402 long double cbrtl(long double); 403 long double ceill(long double); 404 long double copysignl(long double, long double) __pure2; 405 long double cosl(long double); 406 long double exp2l(long double); 407 long double expl(long double); 408 long double fabsl(long double) __pure2; 409 long double fdiml(long double, long double); 410 long double floorl(long double); 411 long double fmal(long double, long double, long double); 412 long double fmaxl(long double, long double) __pure2; 413 long double fminl(long double, long double) __pure2; 414 long double fmodl(long double, long double); 415 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 416 long double hypotl(long double, long double); 417 int ilogbl(long double) __pure2; 418 long double ldexpl(long double, int); 419 long long llrintl(long double); 420 long long llroundl(long double); 421 long double logbl(long double); 422 long lrintl(long double); 423 long lroundl(long double); 424 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 425 long double nanl(const char *) __pure2; 426 long double nearbyintl(long double); 427 long double nextafterl(long double, long double); 428 double nexttoward(double, long double); 429 float nexttowardf(float, long double); 430 long double nexttowardl(long double, long double); 431 long double remainderl(long double, long double); 432 long double remquol(long double, long double, int *); 433 long double rintl(long double); 434 long double roundl(long double); 435 long double scalblnl(long double, long); 436 long double scalbnl(long double, int); 437 long double sinl(long double); 438 long double sqrtl(long double); 439 long double tanl(long double); 440 long double truncl(long double); 441 442 #endif /* __ISO_C_VISIBLE >= 1999 */ 443 __END_DECLS 444 445 #endif /* !_MATH_H_ */ 446 447 /* separate header for cmath */ 448 #ifndef _MATH_EXTRA_H_ 449 #if __ISO_C_VISIBLE >= 1999 450 #if _DECLARE_C99_LDBL_MATH 451 452 #define _MATH_EXTRA_H_ 453 454 /* 455 * extra long double versions of math functions for C99 and cmath 456 */ 457 __BEGIN_DECLS 458 459 long double acoshl(long double); 460 long double asinhl(long double); 461 long double atanhl(long double); 462 long double coshl(long double); 463 long double erfcl(long double); 464 long double erfl(long double); 465 long double expm1l(long double); 466 long double lgammal(long double); 467 long double log10l(long double); 468 long double log1pl(long double); 469 long double log2l(long double); 470 long double logl(long double); 471 long double powl(long double, long double); 472 long double sinhl(long double); 473 long double tanhl(long double); 474 long double tgammal(long double); 475 476 __END_DECLS 477 478 #endif /* !_DECLARE_C99_LDBL_MATH */ 479 #endif /* __ISO_C_VISIBLE >= 1999 */ 480 #endif /* !_MATH_EXTRA_H_ */ 481
