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 <limits.h> 22 23 __BEGIN_DECLS 24 #pragma GCC visibility push(default) 25 26 /* 27 * ANSI/POSIX 28 */ 29 extern const union __infinity_un { 30 unsigned char __uc[8]; 31 double __ud; 32 } __infinity; 33 34 extern const union __nan_un { 35 unsigned char __uc[sizeof(float)]; 36 float __uf; 37 } __nan; 38 39 #if __GNUC_PREREQ(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) 40 #define __MATH_BUILTIN_CONSTANTS 41 #endif 42 43 #if __GNUC_PREREQ(3, 0) && !defined(__INTEL_COMPILER) 44 #define __MATH_BUILTIN_RELOPS 45 #endif 46 47 #ifdef __MATH_BUILTIN_CONSTANTS 48 #define HUGE_VAL __builtin_huge_val() 49 #else 50 #define HUGE_VAL (__infinity.__ud) 51 #endif 52 53 #if __ISO_C_VISIBLE >= 1999 54 #define FP_ILOGB0 (-INT_MAX) /* Android-changed */ 55 #define FP_ILOGBNAN INT_MAX /* Android-changed */ 56 57 #ifdef __MATH_BUILTIN_CONSTANTS 58 #define HUGE_VALF __builtin_huge_valf() 59 #define HUGE_VALL __builtin_huge_vall() 60 #define INFINITY __builtin_inff() 61 #define NAN __builtin_nanf("") 62 #else 63 #define HUGE_VALF (float)HUGE_VAL 64 #define HUGE_VALL (long double)HUGE_VAL 65 #define INFINITY HUGE_VALF 66 #define NAN (__nan.__uf) 67 #endif /* __MATH_BUILTIN_CONSTANTS */ 68 69 #define MATH_ERRNO 1 70 #define MATH_ERREXCEPT 2 71 #define math_errhandling MATH_ERREXCEPT 72 73 #define FP_FAST_FMAF 1 74 #ifdef __ia64__ 75 #define FP_FAST_FMA 1 76 #define FP_FAST_FMAL 1 77 #endif 78 79 /* Symbolic constants to classify floating point numbers. */ 80 #define FP_INFINITE 0x01 81 #define FP_NAN 0x02 82 #define FP_NORMAL 0x04 83 #define FP_SUBNORMAL 0x08 84 #define FP_ZERO 0x10 85 #define fpclassify(x) \ 86 ((sizeof (x) == sizeof (float)) ? __fpclassifyf(x) \ 87 : (sizeof (x) == sizeof (double)) ? __fpclassifyd(x) \ 88 : __fpclassifyl(x)) 89 90 #define isfinite(x) \ 91 ((sizeof (x) == sizeof (float)) ? __isfinitef(x) \ 92 : (sizeof (x) == sizeof (double)) ? __isfinite(x) \ 93 : __isfinitel(x)) 94 #define isinf(x) \ 95 ((sizeof (x) == sizeof (float)) ? __isinff(x) \ 96 : (sizeof (x) == sizeof (double)) ? isinf(x) \ 97 : __isinfl(x)) 98 #define isnan(x) \ 99 ((sizeof (x) == sizeof (float)) ? __isnanf(x) \ 100 : (sizeof (x) == sizeof (double)) ? isnan(x) \ 101 : __isnanl(x)) 102 #define isnormal(x) \ 103 ((sizeof (x) == sizeof (float)) ? __isnormalf(x) \ 104 : (sizeof (x) == sizeof (double)) ? __isnormal(x) \ 105 : __isnormall(x)) 106 107 #ifdef __MATH_BUILTIN_RELOPS 108 #define isgreater(x, y) __builtin_isgreater((x), (y)) 109 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 110 #define isless(x, y) __builtin_isless((x), (y)) 111 #define islessequal(x, y) __builtin_islessequal((x), (y)) 112 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 113 #define isunordered(x, y) __builtin_isunordered((x), (y)) 114 #else 115 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 116 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 117 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 118 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 119 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 120 ((x) > (y) || (y) > (x))) 121 #define isunordered(x, y) (isnan(x) || isnan(y)) 122 #endif /* __MATH_BUILTIN_RELOPS */ 123 124 #define signbit(x) \ 125 ((sizeof (x) == sizeof (float)) ? __signbitf(x) \ 126 : (sizeof (x) == sizeof (double)) ? __signbit(x) \ 127 : __signbitl(x)) 128 129 typedef double __double_t; 130 typedef __double_t double_t; 131 typedef float __float_t; 132 typedef __float_t float_t; 133 #endif /* __ISO_C_VISIBLE >= 1999 */ 134 135 /* 136 * XOPEN/SVID 137 */ 138 #if __BSD_VISIBLE || __XSI_VISIBLE 139 #define M_E 2.7182818284590452354 /* e */ 140 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 141 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 142 #define M_LN2 0.69314718055994530942 /* log e2 */ 143 #define M_LN10 2.30258509299404568402 /* log e10 */ 144 #define M_PI 3.14159265358979323846 /* pi */ 145 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 146 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 147 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 148 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 149 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 150 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 151 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 152 153 #define MAXFLOAT ((float)3.40282346638528860e+38) 154 extern int signgam; 155 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 156 157 #if __BSD_VISIBLE 158 #if 0 159 /* Old value from 4.4BSD-Lite math.h; this is probably better. */ 160 #define HUGE HUGE_VAL 161 #else 162 #define HUGE MAXFLOAT 163 #endif 164 #endif /* __BSD_VISIBLE */ 165 166 /* 167 * Most of these functions depend on the rounding mode and have the side 168 * effect of raising floating-point exceptions, so they are not declared 169 * as __pure2. In C99, FENV_ACCESS affects the purity of these functions. 170 */ 171 172 /* 173 * ANSI/POSIX 174 */ 175 int __fpclassifyd(double) __pure2; 176 int __fpclassifyf(float) __pure2; 177 int __fpclassifyl(long double) __pure2; 178 int __isfinitef(float) __pure2; 179 int __isfinite(double) __pure2; 180 int __isfinitel(long double) __pure2; 181 int __isinff(float) __pure2; 182 int __isinfl(long double) __pure2; 183 int __isnanf(float) __pure2; 184 int __isnanl(long double) __pure2; 185 int __isnormalf(float) __pure2; 186 int __isnormal(double) __pure2; 187 int __isnormall(long double) __pure2; 188 int __signbit(double) __pure2; 189 int __signbitf(float) __pure2; 190 int __signbitl(long double) __pure2; 191 192 double acos(double); 193 double asin(double); 194 double atan(double); 195 double atan2(double, double); 196 double cos(double); 197 double sin(double); 198 double tan(double); 199 200 double cosh(double); 201 double sinh(double); 202 double tanh(double); 203 204 double exp(double); 205 double frexp(double, int *); /* fundamentally !__pure2 */ 206 double ldexp(double, int); 207 double log(double); 208 double log10(double); 209 double modf(double, double *); /* fundamentally !__pure2 */ 210 211 double pow(double, double); 212 double sqrt(double); 213 214 double ceil(double); 215 double fabs(double) __pure2; 216 double floor(double); 217 double fmod(double, double); 218 219 /* 220 * These functions are not in C90. 221 */ 222 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 223 double acosh(double); 224 double asinh(double); 225 double atanh(double); 226 double cbrt(double); 227 double erf(double); 228 double erfc(double); 229 double exp2(double); 230 double expm1(double); 231 double fma(double, double, double); 232 double hypot(double, double); 233 int ilogb(double) __pure2; 234 int (isinf)(double) __pure2; 235 int (isnan)(double) __pure2; 236 double lgamma(double); 237 long long llrint(double); 238 long long llround(double); 239 double log1p(double); 240 double log2(double); 241 double logb(double); 242 long lrint(double); 243 long lround(double); 244 double nan(const char *) __pure2; 245 double nextafter(double, double); 246 double remainder(double, double); 247 double remquo(double, double, int *); 248 double rint(double); 249 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 250 251 #if __BSD_VISIBLE || __XSI_VISIBLE 252 double j0(double); 253 double j1(double); 254 double jn(int, double); 255 double y0(double); 256 double y1(double); 257 double yn(int, double); 258 259 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 260 double gamma(double); 261 #endif 262 263 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 264 double scalb(double, double); 265 #endif 266 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 267 268 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 269 double copysign(double, double) __pure2; 270 double fdim(double, double); 271 double fmax(double, double) __pure2; 272 double fmin(double, double) __pure2; 273 double nearbyint(double); 274 double round(double); 275 double scalbln(double, long); 276 double scalbn(double, int); 277 double tgamma(double); 278 double trunc(double); 279 #endif 280 281 /* 282 * BSD math library entry points 283 */ 284 #if __BSD_VISIBLE 285 double drem(double, double); 286 int finite(double) __pure2; 287 int isnanf(float) __pure2; 288 long double significandl(long double); 289 290 /* 291 * Reentrant version of gamma & lgamma; passes signgam back by reference 292 * as the second argument; user must allocate space for signgam. 293 */ 294 double gamma_r(double, int *); 295 double lgamma_r(double, int *); 296 297 /* 298 * IEEE Test Vector 299 */ 300 double significand(double); 301 #endif /* __BSD_VISIBLE */ 302 303 /* float versions of ANSI/POSIX functions */ 304 #if __ISO_C_VISIBLE >= 1999 305 float acosf(float); 306 float asinf(float); 307 float atanf(float); 308 float atan2f(float, float); 309 float cosf(float); 310 float sinf(float); 311 float tanf(float); 312 313 float coshf(float); 314 float sinhf(float); 315 float tanhf(float); 316 317 float exp2f(float); 318 float expf(float); 319 float expm1f(float); 320 float frexpf(float, int *); /* fundamentally !__pure2 */ 321 int ilogbf(float) __pure2; 322 float ldexpf(float, int); 323 float log10f(float); 324 float log1pf(float); 325 float log2f(float); 326 float logf(float); 327 float modff(float, float *); /* fundamentally !__pure2 */ 328 329 float powf(float, float); 330 float sqrtf(float); 331 332 float ceilf(float); 333 float fabsf(float) __pure2; 334 float floorf(float); 335 float fmodf(float, float); 336 float roundf(float); 337 338 float erff(float); 339 float erfcf(float); 340 float hypotf(float, float); 341 float lgammaf(float); 342 float tgammaf(float); 343 344 float acoshf(float); 345 float asinhf(float); 346 float atanhf(float); 347 float cbrtf(float); 348 float logbf(float); 349 float copysignf(float, float) __pure2; 350 long long llrintf(float); 351 long long llroundf(float); 352 long lrintf(float); 353 long lroundf(float); 354 float nanf(const char *) __pure2; 355 float nearbyintf(float); 356 float nextafterf(float, float); 357 float remainderf(float, float); 358 float remquof(float, float, int *); 359 float rintf(float); 360 float scalblnf(float, long); 361 float scalbnf(float, int); 362 float truncf(float); 363 364 float fdimf(float, float); 365 float fmaf(float, float, float); 366 float fmaxf(float, float) __pure2; 367 float fminf(float, float) __pure2; 368 #endif 369 370 /* 371 * float versions of BSD math library entry points 372 */ 373 #if __BSD_VISIBLE 374 float dremf(float, float); 375 int finitef(float) __pure2; 376 float gammaf(float); 377 float j0f(float); 378 float j1f(float); 379 float jnf(int, float); 380 float scalbf(float, float); 381 float y0f(float); 382 float y1f(float); 383 float ynf(int, float); 384 385 /* 386 * Float versions of reentrant version of gamma & lgamma; passes 387 * signgam back by reference as the second argument; user must 388 * allocate space for signgam. 389 */ 390 float gammaf_r(float, int *); 391 float lgammaf_r(float, int *); 392 393 /* 394 * float version of IEEE Test Vector 395 */ 396 float significandf(float); 397 #endif /* __BSD_VISIBLE */ 398 399 /* 400 * long double versions of ISO/POSIX math functions 401 */ 402 #if __ISO_C_VISIBLE >= 1999 403 long double acoshl(long double); 404 long double acosl(long double); 405 long double asinhl(long double); 406 long double asinl(long double); 407 long double atan2l(long double, long double); 408 long double atanhl(long double); 409 long double atanl(long double); 410 long double cbrtl(long double); 411 long double ceill(long double); 412 long double copysignl(long double, long double) __pure2; 413 long double coshl(long double); 414 long double cosl(long double); 415 long double erfcl(long double); 416 long double erfl(long double); 417 long double exp2l(long double); 418 long double expl(long double); 419 long double expm1l(long double); 420 long double fabsl(long double) __pure2; 421 long double fdiml(long double, long double); 422 long double floorl(long double); 423 long double fmal(long double, long double, long double); 424 long double fmaxl(long double, long double) __pure2; 425 long double fminl(long double, long double) __pure2; 426 long double fmodl(long double, long double); 427 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 428 long double hypotl(long double, long double); 429 int ilogbl(long double) __pure2; 430 long double ldexpl(long double, int); 431 long double lgammal(long double); 432 long long llrintl(long double); 433 long long llroundl(long double); 434 long double log10l(long double); 435 long double log1pl(long double); 436 long double log2l(long double); 437 long double logbl(long double); 438 long double logl(long double); 439 long lrintl(long double); 440 long lroundl(long double); 441 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 442 long double nanl(const char *) __pure2; 443 long double nearbyintl(long double); 444 long double nextafterl(long double, long double); 445 double nexttoward(double, long double); 446 float nexttowardf(float, long double); 447 long double nexttowardl(long double, long double); 448 long double powl(long double, long double); 449 long double remainderl(long double, long double); 450 long double remquol(long double, long double, int *); 451 long double rintl(long double); 452 long double roundl(long double); 453 long double scalblnl(long double, long); 454 long double scalbnl(long double, int); 455 long double sinhl(long double); 456 long double sinl(long double); 457 long double sqrtl(long double); 458 long double tanhl(long double); 459 long double tanl(long double); 460 long double tgammal(long double); 461 long double truncl(long double); 462 463 #endif /* __ISO_C_VISIBLE >= 1999 */ 464 465 #if defined(_GNU_SOURCE) 466 void sincos(double, double*, double*); 467 void sincosf(float, float*, float*); 468 void sincosl(long double, long double*, long double*); 469 #endif /* _GNU_SOURCE */ 470 471 #pragma GCC visibility pop 472 __END_DECLS 473 474 #endif /* !_MATH_H_ */ 475