math.h revision 1.58.2.1
1 /* $NetBSD: math.h,v 1.58.2.1 2013/02/25 00:27:47 tls Exp $ */ 2 3 /* 4 * ==================================================== 5 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 6 * 7 * Developed at SunPro, a Sun Microsystems, Inc. business. 8 * Permission to use, copy, modify, and distribute this 9 * software is freely granted, provided that this notice 10 * is preserved. 11 * ==================================================== 12 */ 13 14 /* 15 * @(#)fdlibm.h 5.1 93/09/24 16 */ 17 18 #ifndef _MATH_H_ 19 #define _MATH_H_ 20 21 #include <sys/cdefs.h> 22 #include <sys/featuretest.h> 23 24 union __float_u { 25 unsigned char __dummy[sizeof(float)]; 26 float __val; 27 }; 28 29 union __double_u { 30 unsigned char __dummy[sizeof(double)]; 31 double __val; 32 }; 33 34 union __long_double_u { 35 unsigned char __dummy[sizeof(long double)]; 36 long double __val; 37 }; 38 39 #include <machine/math.h> /* may use __float_u, __double_u, 40 or __long_double_u */ 41 #include <limits.h> /* for INT_{MIN,MAX} */ 42 43 #ifdef __HAVE_LONG_DOUBLE 44 #define __fpmacro_unary_floating(__name, __arg0) \ 45 /* LINTED */ \ 46 ((sizeof (__arg0) == sizeof (float)) \ 47 ? __ ## __name ## f (__arg0) \ 48 : (sizeof (__arg0) == sizeof (double)) \ 49 ? __ ## __name ## d (__arg0) \ 50 : __ ## __name ## l (__arg0)) 51 #else 52 #define __fpmacro_unary_floating(__name, __arg0) \ 53 /* LINTED */ \ 54 ((sizeof (__arg0) == sizeof (float)) \ 55 ? __ ## __name ## f (__arg0) \ 56 : __ ## __name ## d (__arg0)) 57 #endif /* __HAVE_LONG_DOUBLE */ 58 59 /* 60 * ANSI/POSIX 61 */ 62 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 63 #if __GNUC_PREREQ__(3, 3) 64 #define HUGE_VAL __builtin_huge_val() 65 #else 66 extern const union __double_u __infinity; 67 #define HUGE_VAL __infinity.__val 68 #endif 69 70 /* 71 * ISO C99 72 */ 73 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 74 !defined(_XOPEN_SOURCE) || \ 75 ((__STDC_VERSION__ - 0) >= 199901L) || \ 76 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 77 ((_XOPEN_SOURCE - 0) >= 600) || \ 78 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 79 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 80 #if __GNUC_PREREQ__(3, 3) 81 #define HUGE_VALF __builtin_huge_valf() 82 #define HUGE_VALL __builtin_huge_vall() 83 #else 84 extern const union __float_u __infinityf; 85 #define HUGE_VALF __infinityf.__val 86 87 extern const union __long_double_u __infinityl; 88 #define HUGE_VALL __infinityl.__val 89 #endif 90 91 /* 7.12#4 INFINITY */ 92 #if defined(__INFINITY) 93 #define INFINITY __INFINITY /* float constant which overflows */ 94 #elif __GNUC_PREREQ__(3, 3) 95 #define INFINITY __builtin_inff() 96 #else 97 #define INFINITY HUGE_VALF /* positive infinity */ 98 #endif /* __INFINITY */ 99 100 /* 7.12#5 NAN: a quiet NaN, if supported */ 101 #ifdef __HAVE_NANF 102 #if __GNUC_PREREQ__(3,3) 103 #define NAN __builtin_nanf("") 104 #else 105 extern const union __float_u __nanf; 106 #define NAN __nanf.__val 107 #endif 108 #endif /* __HAVE_NANF */ 109 110 /* 7.12#6 number classification macros */ 111 #define FP_INFINITE 0x00 112 #define FP_NAN 0x01 113 #define FP_NORMAL 0x02 114 #define FP_SUBNORMAL 0x03 115 #define FP_ZERO 0x04 116 /* NetBSD extensions */ 117 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 118 #define _FP_HIMD 0xff 119 120 #define FP_ILOGB0 INT_MIN 121 #define FP_ILOGBNAN INT_MAX 122 123 #endif /* !_ANSI_SOURCE && ... */ 124 125 /* 126 * XOPEN/SVID 127 */ 128 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 129 #define M_E 2.7182818284590452354 /* e */ 130 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 131 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 132 #define M_LN2 0.69314718055994530942 /* log e2 */ 133 #define M_LN10 2.30258509299404568402 /* log e10 */ 134 #define M_PI 3.14159265358979323846 /* pi */ 135 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 136 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 137 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 138 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 139 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 140 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 141 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 142 143 #define MAXFLOAT ((float)3.40282346638528860e+38) 144 extern int signgam; 145 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 146 147 #if defined(_NETBSD_SOURCE) 148 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 149 150 #define _LIB_VERSION_TYPE enum fdversion 151 #define _LIB_VERSION _fdlib_version 152 153 /* if global variable _LIB_VERSION is not desirable, one may 154 * change the following to be a constant by: 155 * #define _LIB_VERSION_TYPE const enum version 156 * In that case, after one initializes the value _LIB_VERSION (see 157 * s_lib_version.c) during compile time, it cannot be modified 158 * in the middle of a program 159 */ 160 extern _LIB_VERSION_TYPE _LIB_VERSION; 161 162 #define _IEEE_ fdlibm_ieee 163 #define _SVID_ fdlibm_svid 164 #define _XOPEN_ fdlibm_xopen 165 #define _POSIX_ fdlibm_posix 166 167 #ifndef __cplusplus 168 struct exception { 169 int type; 170 const char *name; 171 double arg1; 172 double arg2; 173 double retval; 174 }; 175 #endif 176 177 #define HUGE MAXFLOAT 178 179 /* 180 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 181 * (one may replace the following line by "#include <values.h>") 182 */ 183 184 #define X_TLOSS 1.41484755040568800000e+16 185 186 #define DOMAIN 1 187 #define SING 2 188 #define OVERFLOW 3 189 #define UNDERFLOW 4 190 #define TLOSS 5 191 #define PLOSS 6 192 193 #endif /* _NETBSD_SOURCE */ 194 195 __BEGIN_DECLS 196 /* 197 * ANSI/POSIX 198 */ 199 double acos(double); 200 double asin(double); 201 double atan(double); 202 double atan2(double, double); 203 double cos(double); 204 double sin(double); 205 double tan(double); 206 207 double cosh(double); 208 double sinh(double); 209 double tanh(double); 210 211 double exp(double); 212 double exp2(double); 213 double frexp(double, int *); 214 double ldexp(double, int); 215 double log(double); 216 double log2(double); 217 double log10(double); 218 double modf(double, double *); 219 220 double pow(double, double); 221 double sqrt(double); 222 223 double ceil(double); 224 double fabs(double); 225 double floor(double); 226 double fmod(double, double); 227 228 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 229 double erf(double); 230 double erfc(double); 231 double gamma(double); 232 double hypot(double, double); 233 int finite(double); 234 double j0(double); 235 double j1(double); 236 double jn(int, double); 237 double lgamma(double); 238 double y0(double); 239 double y1(double); 240 double yn(int, double); 241 242 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 243 double acosh(double); 244 double asinh(double); 245 double atanh(double); 246 double cbrt(double); 247 double expm1(double); 248 int ilogb(double); 249 double log1p(double); 250 double logb(double); 251 double nextafter(double, double); 252 double remainder(double, double); 253 double rint(double); 254 double scalb(double, double); 255 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 256 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 257 258 /* 259 * ISO C99 260 */ 261 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 262 !defined(_XOPEN_SOURCE) || \ 263 ((__STDC_VERSION__ - 0) >= 199901L) || \ 264 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 265 ((_XOPEN_SOURCE - 0) >= 600) || \ 266 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 267 /* 7.12.3.1 int fpclassify(real-floating x) */ 268 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 269 270 /* 7.12.3.2 int isfinite(real-floating x) */ 271 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 272 273 /* 7.12.3.5 int isnormal(real-floating x) */ 274 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 275 276 /* 7.12.3.6 int signbit(real-floating x) */ 277 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 278 279 /* 7.12.4 trigonometric */ 280 281 float acosf(float); 282 float asinf(float); 283 float atanf(float); 284 float atan2f(float, float); 285 float cosf(float); 286 float sinf(float); 287 float tanf(float); 288 289 long double acosl(long double); 290 long double asinl(long double); 291 long double atanl(long double); 292 long double atan2l(long double, long double); 293 long double cosl(long double); 294 long double sinl(long double); 295 long double tanl(long double); 296 297 /* 7.12.5 hyperbolic */ 298 299 float acoshf(float); 300 float asinhf(float); 301 float atanhf(float); 302 float coshf(float); 303 float sinhf(float); 304 float tanhf(float); 305 long double acoshl(long double); 306 long double asinhl(long double); 307 long double atanhl(long double); 308 long double coshl(long double); 309 long double sinhl(long double); 310 long double tanhl(long double); 311 312 /* 7.12.6 exp / log */ 313 314 float expf(float); 315 float exp2f(float); 316 float expm1f(float); 317 float frexpf(float, int *); 318 int ilogbf(float); 319 float ldexpf(float, int); 320 float logf(float); 321 float log2f(float); 322 float log10f(float); 323 float log1pf(float); 324 float logbf(float); 325 float modff(float, float *); 326 float scalbnf(float, int); 327 float scalblnf(float, long); 328 329 long double expl(long double); 330 long double exp2l(long double); 331 long double expm1l(long double); 332 long double frexpl(long double, int *); 333 int ilogbl(long double); 334 long double ldexpl(long double, int); 335 long double logl(long double); 336 long double log2l(long double); 337 long double log10l(long double); 338 long double log1pl(long double); 339 long double logbl(long double); 340 long double modfl(long double, long double *); 341 long double scalbnl(long double, int); 342 long double scalblnl(long double, long); 343 344 345 /* 7.12.7 power / absolute */ 346 347 float cbrtf(float); 348 float fabsf(float); 349 float hypotf(float, float); 350 float powf(float, float); 351 float sqrtf(float); 352 long double cbrtl(long double); 353 long double fabsl(long double); 354 long double hypotl(long double, long double); 355 long double powl(long double, long double); 356 long double sqrtl(long double); 357 358 /* 7.12.8 error / gamma */ 359 360 double tgamma(double); 361 float erff(float); 362 float erfcf(float); 363 float lgammaf(float); 364 float tgammaf(float); 365 long double erfl(long double); 366 long double erfcl(long double); 367 long double lgammal(long double); 368 long double tgammal(long double); 369 370 /* 7.12.9 nearest integer */ 371 372 /* LONGLONG */ 373 long long int llrint(double); 374 long int lround(double); 375 /* LONGLONG */ 376 long long int llround(double); 377 long int lrint(double); 378 double round(double); 379 double trunc(double); 380 381 float ceilf(float); 382 float floorf(float); 383 /* LONGLONG */ 384 long long int llrintf(float); 385 long int lroundf(float); 386 /* LONGLONG */ 387 long long int llroundf(float); 388 long int lrintf(float); 389 float rintf(float); 390 float roundf(float); 391 float truncf(float); 392 long double ceill(long double); 393 long double floorl(long double); 394 /* LONGLONG */ 395 long long int llrintl(long double); 396 long int lroundl(long double); 397 /* LONGLONG */ 398 long long int llroundl(long double); 399 long int lrintl(long double); 400 long double rintl(long double); 401 long double roundl(long double); 402 long double truncl(long double); 403 404 /* 7.12.10 remainder */ 405 406 float fmodf(float, float); 407 float remainderf(float, float); 408 long double fmodl(long double, long double); 409 long double remainderl(long double, long double); 410 411 /* 7.12.10.3 The remquo functions */ 412 double remquo(double, double, int *); 413 float remquof(float, float, int *); 414 long double remquol(long double, long double, int *); 415 416 /* 7.12.11 manipulation */ 417 418 double nan(const char *); 419 double nearbyint(double); 420 double nexttoward(double, long double); 421 float copysignf(float, float); 422 float nanf(const char *); 423 float nearbyintf(float); 424 float nextafterf(float, float); 425 float nexttowardf(float, long double); 426 long double copysignl(long double, long double); 427 long double nanl(const char *); 428 long double nearbyintl(long double); 429 long double nextafterl(long double, long double); 430 long double nexttowardl(long double, long double); 431 432 /* 7.12.14 comparison */ 433 434 #define isunordered(x, y) (isnan(x) || isnan(y)) 435 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 436 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 437 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 438 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 439 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 440 ((x) > (y) || (y) > (x))) 441 double fdim(double, double); 442 double fma(double, double, double); 443 double fmax(double, double); 444 double fmin(double, double); 445 float fdimf(float, float); 446 float fmaf(float, float, float); 447 float fmaxf(float, float); 448 float fminf(float, float); 449 long double fdiml(long double, long double); 450 long double fmal(long double, long double, long double); 451 long double fmaxl(long double, long double); 452 long double fminl(long double, long double); 453 454 #endif /* !_ANSI_SOURCE && ... */ 455 456 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 457 !defined(_XOPEN_SOURCE) || \ 458 ((__STDC_VERSION__ - 0) >= 199901L) || \ 459 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 460 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 461 /* 7.12.3.3 int isinf(real-floating x) */ 462 #ifdef __isinf 463 #define isinf(__x) __isinf(__x) 464 #else 465 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 466 #endif 467 468 /* 7.12.3.4 int isnan(real-floating x) */ 469 #ifdef __isnan 470 #define isnan(__x) __isnan(__x) 471 #else 472 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 473 #endif 474 #endif /* !_ANSI_SOURCE && ... */ 475 476 #if defined(_NETBSD_SOURCE) 477 #ifndef __cplusplus 478 int matherr(struct exception *); 479 #endif 480 481 /* 482 * IEEE Test Vector 483 */ 484 double significand(double); 485 486 /* 487 * Functions callable from C, intended to support IEEE arithmetic. 488 */ 489 double copysign(double, double); 490 double scalbn(double, int); 491 double scalbln(double, long); 492 493 /* 494 * BSD math library entry points 495 */ 496 double drem(double, double); 497 498 #endif /* _NETBSD_SOURCE */ 499 500 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 501 /* 502 * Reentrant version of gamma & lgamma; passes signgam back by reference 503 * as the second argument; user must allocate space for signgam. 504 */ 505 double gamma_r(double, int *); 506 double lgamma_r(double, int *); 507 #endif /* _NETBSD_SOURCE || _REENTRANT */ 508 509 510 #if defined(_NETBSD_SOURCE) 511 512 /* float versions of ANSI/POSIX functions */ 513 514 float gammaf(float); 515 int isinff(float); 516 int isnanf(float); 517 int finitef(float); 518 float j0f(float); 519 float j1f(float); 520 float jnf(int, float); 521 float y0f(float); 522 float y1f(float); 523 float ynf(int, float); 524 525 float scalbf(float, float); 526 527 /* 528 * float version of IEEE Test Vector 529 */ 530 float significandf(float); 531 532 /* 533 * float versions of BSD math library entry points 534 */ 535 float dremf(float, float); 536 #endif /* _NETBSD_SOURCE */ 537 538 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 539 /* 540 * Float versions of reentrant version of gamma & lgamma; passes 541 * signgam back by reference as the second argument; user must 542 * allocate space for signgam. 543 */ 544 float gammaf_r(float, int *); 545 float lgammaf_r(float, int *); 546 #endif /* !... || _REENTRANT */ 547 548 /* 549 * Library implementation 550 */ 551 int __fpclassifyf(float); 552 int __fpclassifyd(double); 553 int __isfinitef(float); 554 int __isfinited(double); 555 int __isinff(float); 556 int __isinfd(double); 557 int __isnanf(float); 558 int __isnand(double); 559 int __signbitf(float); 560 int __signbitd(double); 561 562 #ifdef __HAVE_LONG_DOUBLE 563 int __fpclassifyl(long double); 564 int __isfinitel(long double); 565 int __isinfl(long double); 566 int __isnanl(long double); 567 int __signbitl(long double); 568 #endif 569 570 __END_DECLS 571 572 #endif /* _MATH_H_ */ 573
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