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 #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 84 #if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \ 85 __has_extension(c_generic_selections) 86 #define __fp_type_select(x, f, d, ld) _Generic((0,(x)), \ 87 float: f(x), \ 88 double: d(x), \ 89 long double: ld(x)) 90 #elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) 91 #define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ 92 __builtin_types_compatible_p(__typeof(x), long double), ld(x), \ 93 __builtin_choose_expr( \ 94 __builtin_types_compatible_p(__typeof(x), double), d(x), \ 95 __builtin_choose_expr( \ 96 __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) 97 #else 98 #define __fp_type_select(x, f, d, ld) \ 99 ((sizeof(x) == sizeof(float)) ? f(x) \ 100 : (sizeof(x) == sizeof(double)) ? d(x) \ 101 : ld(x)) 102 #endif 103 104 #define fpclassify(x) \ 105 __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) 106 #define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) 107 #define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) 108 #define isnan(x) \ 109 __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) 110 #define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) 111 112 #ifdef __MATH_BUILTIN_RELOPS 113 #define isgreater(x, y) __builtin_isgreater((x), (y)) 114 #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) 115 #define isless(x, y) __builtin_isless((x), (y)) 116 #define islessequal(x, y) __builtin_islessequal((x), (y)) 117 #define islessgreater(x, y) __builtin_islessgreater((x), (y)) 118 #define isunordered(x, y) __builtin_isunordered((x), (y)) 119 #else 120 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 121 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 122 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 123 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 124 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 125 ((x) > (y) || (y) > (x))) 126 #define isunordered(x, y) (isnan(x) || isnan(y)) 127 #endif /* __MATH_BUILTIN_RELOPS */ 128 129 #define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) 130 131 typedef __double_t double_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 __BEGIN_DECLS 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 __isinf(double) __pure2; 183 int __isinfl(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 static __inline int 192 __inline_isnan(__const double __x) 193 { 194 195 return (__x != __x); 196 } 197 198 static __inline int 199 __inline_isnanf(__const float __x) 200 { 201 202 return (__x != __x); 203 } 204 205 static __inline int 206 __inline_isnanl(__const long double __x) 207 { 208 209 return (__x != __x); 210 } 211 212 double acos(double); 213 double asin(double); 214 double atan(double); 215 double atan2(double, double); 216 double cos(double); 217 double sin(double); 218 double tan(double); 219 220 double cosh(double); 221 double sinh(double); 222 double tanh(double); 223 224 double exp(double); 225 double frexp(double, int *); /* fundamentally !__pure2 */ 226 double ldexp(double, int); 227 double log(double); 228 double log10(double); 229 double modf(double, double *); /* fundamentally !__pure2 */ 230 231 double pow(double, double); 232 double sqrt(double); 233 234 double ceil(double); 235 double fabs(double) __pure2; 236 double floor(double); 237 double fmod(double, double); 238 239 /* 240 * These functions are not in C90. 241 */ 242 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE 243 double acosh(double); 244 double asinh(double); 245 double atanh(double); 246 double cbrt(double); 247 double erf(double); 248 double erfc(double); 249 double exp2(double); 250 double expm1(double); 251 double fma(double, double, double); 252 double hypot(double, double); 253 int ilogb(double) __pure2; 254 double lgamma(double); 255 long long llrint(double); 256 long long llround(double); 257 double log1p(double); 258 double log2(double); 259 double logb(double); 260 long lrint(double); 261 long lround(double); 262 double nan(const char *) __pure2; 263 double nextafter(double, double); 264 double remainder(double, double); 265 double remquo(double, double, int *); 266 double rint(double); 267 #endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ 268 269 #if __BSD_VISIBLE || __XSI_VISIBLE 270 double j0(double); 271 double j1(double); 272 double jn(int, double); 273 double y0(double); 274 double y1(double); 275 double yn(int, double); 276 277 #if __XSI_VISIBLE <= 500 || __BSD_VISIBLE 278 double gamma(double); 279 #endif 280 281 #if __XSI_VISIBLE <= 600 || __BSD_VISIBLE 282 double scalb(double, double); 283 #endif 284 #endif /* __BSD_VISIBLE || __XSI_VISIBLE */ 285 286 #if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 287 double copysign(double, double) __pure2; 288 double fdim(double, double); 289 double fmax(double, double) __pure2; 290 double fmin(double, double) __pure2; 291 double nearbyint(double); 292 double round(double); 293 double scalbln(double, long); 294 double scalbn(double, int); 295 double tgamma(double); 296 double trunc(double); 297 #endif 298 299 /* 300 * BSD math library entry points 301 */ 302 #if __BSD_VISIBLE 303 double drem(double, double); 304 int finite(double) __pure2; 305 int isnanf(float) __pure2; 306 307 /* 308 * Reentrant version of gamma & lgamma; passes signgam back by reference 309 * as the second argument; user must allocate space for signgam. 310 */ 311 double gamma_r(double, int *); 312 double lgamma_r(double, int *); 313 314 /* 315 * IEEE Test Vector 316 */ 317 double significand(double); 318 #endif /* __BSD_VISIBLE */ 319 320 /* float versions of ANSI/POSIX functions */ 321 #if __ISO_C_VISIBLE >= 1999 322 float acosf(float); 323 float asinf(float); 324 float atanf(float); 325 float atan2f(float, float); 326 float cosf(float); 327 float sinf(float); 328 float tanf(float); 329 330 float coshf(float); 331 float sinhf(float); 332 float tanhf(float); 333 334 float exp2f(float); 335 float expf(float); 336 float expm1f(float); 337 float frexpf(float, int *); /* fundamentally !__pure2 */ 338 int ilogbf(float) __pure2; 339 float ldexpf(float, int); 340 float log10f(float); 341 float log1pf(float); 342 float log2f(float); 343 float logf(float); 344 float modff(float, float *); /* fundamentally !__pure2 */ 345 346 float powf(float, float); 347 float sqrtf(float); 348 349 float ceilf(float); 350 float fabsf(float) __pure2; 351 float floorf(float); 352 float fmodf(float, float); 353 float roundf(float); 354 355 float erff(float); 356 float erfcf(float); 357 float hypotf(float, float); 358 float lgammaf(float); 359 float tgammaf(float); 360 361 float acoshf(float); 362 float asinhf(float); 363 float atanhf(float); 364 float cbrtf(float); 365 float logbf(float); 366 float copysignf(float, float) __pure2; 367 long long llrintf(float); 368 long long llroundf(float); 369 long lrintf(float); 370 long lroundf(float); 371 float nanf(const char *) __pure2; 372 float nearbyintf(float); 373 float nextafterf(float, float); 374 float remainderf(float, float); 375 float remquof(float, float, int *); 376 float rintf(float); 377 float scalblnf(float, long); 378 float scalbnf(float, int); 379 float truncf(float); 380 381 float fdimf(float, float); 382 float fmaf(float, float, float); 383 float fmaxf(float, float) __pure2; 384 float fminf(float, float) __pure2; 385 #endif 386 387 /* 388 * float versions of BSD math library entry points 389 */ 390 #if __BSD_VISIBLE 391 float dremf(float, float); 392 int finitef(float) __pure2; 393 float gammaf(float); 394 float j0f(float); 395 float j1f(float); 396 float jnf(int, float); 397 float scalbf(float, float); 398 float y0f(float); 399 float y1f(float); 400 float ynf(int, float); 401 402 /* 403 * Float versions of reentrant version of gamma & lgamma; passes 404 * signgam back by reference as the second argument; user must 405 * allocate space for signgam. 406 */ 407 float gammaf_r(float, int *); 408 float lgammaf_r(float, int *); 409 410 /* 411 * float version of IEEE Test Vector 412 */ 413 float significandf(float); 414 #endif /* __BSD_VISIBLE */ 415 416 /* 417 * long double versions of ISO/POSIX math functions 418 */ 419 #if __ISO_C_VISIBLE >= 1999 420 long double acoshl(long double); 421 long double acosl(long double); 422 long double asinhl(long double); 423 long double asinl(long double); 424 long double atan2l(long double, long double); 425 long double atanhl(long double); 426 long double atanl(long double); 427 long double cbrtl(long double); 428 long double ceill(long double); 429 long double copysignl(long double, long double) __pure2; 430 long double cosl(long double); 431 long double exp2l(long double); 432 long double expl(long double); 433 long double expm1l(long double); 434 long double fabsl(long double) __pure2; 435 long double fdiml(long double, long double); 436 long double floorl(long double); 437 long double fmal(long double, long double, long double); 438 long double fmaxl(long double, long double) __pure2; 439 long double fminl(long double, long double) __pure2; 440 long double fmodl(long double, long double); 441 long double frexpl(long double value, int *); /* fundamentally !__pure2 */ 442 long double hypotl(long double, long double); 443 int ilogbl(long double) __pure2; 444 long double ldexpl(long double, int); 445 long long llrintl(long double); 446 long long llroundl(long double); 447 long double log10l(long double); 448 long double log1pl(long double); 449 long double log2l(long double); 450 long double logbl(long double); 451 long double logl(long double); 452 long lrintl(long double); 453 long lroundl(long double); 454 long double modfl(long double, long double *); /* fundamentally !__pure2 */ 455 long double nanl(const char *) __pure2; 456 long double nearbyintl(long double); 457 long double nextafterl(long double, long double); 458 double nexttoward(double, long double); 459 float nexttowardf(float, long double); 460 long double nexttowardl(long double, long double); 461 long double remainderl(long double, long double); 462 long double remquol(long double, long double, int *); 463 long double rintl(long double); 464 long double roundl(long double); 465 long double scalblnl(long double, long); 466 long double scalbnl(long double, int); 467 long double sinl(long double); 468 long double sqrtl(long double); 469 long double tanl(long double); 470 long double truncl(long double); 471 472 #endif /* __ISO_C_VISIBLE >= 1999 */ 473 __END_DECLS 474 475 #endif /* !_MATH_H_ */ 476 477 /* separate header for cmath */ 478 #ifndef _MATH_EXTRA_H_ 479 #if __ISO_C_VISIBLE >= 1999 480 #if _DECLARE_C99_LDBL_MATH 481 482 #define _MATH_EXTRA_H_ 483 484 /* 485 * extra long double versions of math functions for C99 and cmath 486 */ 487 __BEGIN_DECLS 488 489 long double coshl(long double); 490 long double erfcl(long double); 491 long double erfl(long double); 492 long double lgammal(long double); 493 long double powl(long double, long double); 494 long double sinhl(long double); 495 long double tanhl(long double); 496 long double tgammal(long double); 497 498 __END_DECLS 499 500 #endif /* !_DECLARE_C99_LDBL_MATH */ 501 #endif /* __ISO_C_VISIBLE >= 1999 */ 502 #endif /* !_MATH_EXTRA_H_ */ 503