math.h revision 1.63.24.1
1 /* $NetBSD: math.h,v 1.63.24.1 2018/06/25 07:25:33 pgoyette 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 #if ((_POSIX_C_SOURCE - 0) >= 200809L || defined(_NETBSD_SOURCE)) 44 # if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0 45 typedef double double_t; 46 typedef float float_t; 47 # elif (__FLT_EVAL_METHOD__ - 0) == 1 48 typedef double double_t; 49 typedef double float_t; 50 # elif (__FLT_EVAL_METHOD__ - 0) == 2 51 typedef long double double_t; 52 typedef long double float_t; 53 # endif 54 #endif 55 56 #ifdef __HAVE_LONG_DOUBLE 57 #define __fpmacro_unary_floating(__name, __arg0) \ 58 /* LINTED */ \ 59 ((sizeof (__arg0) == sizeof (float)) \ 60 ? __ ## __name ## f (__arg0) \ 61 : (sizeof (__arg0) == sizeof (double)) \ 62 ? __ ## __name ## d (__arg0) \ 63 : __ ## __name ## l (__arg0)) 64 #else 65 #define __fpmacro_unary_floating(__name, __arg0) \ 66 /* LINTED */ \ 67 ((sizeof (__arg0) == sizeof (float)) \ 68 ? __ ## __name ## f (__arg0) \ 69 : __ ## __name ## d (__arg0)) 70 #endif /* __HAVE_LONG_DOUBLE */ 71 72 /* 73 * ANSI/POSIX 74 */ 75 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 76 #if __GNUC_PREREQ__(3, 3) 77 #define HUGE_VAL __builtin_huge_val() 78 #else 79 extern const union __double_u __infinity; 80 #define HUGE_VAL __infinity.__val 81 #endif 82 83 /* 84 * ISO C99 85 */ 86 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 87 !defined(_XOPEN_SOURCE) || \ 88 ((__STDC_VERSION__ - 0) >= 199901L) || \ 89 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 90 ((_XOPEN_SOURCE - 0) >= 600) || \ 91 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 92 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 93 #if __GNUC_PREREQ__(3, 3) 94 #define HUGE_VALF __builtin_huge_valf() 95 #define HUGE_VALL __builtin_huge_vall() 96 #else 97 extern const union __float_u __infinityf; 98 #define HUGE_VALF __infinityf.__val 99 100 extern const union __long_double_u __infinityl; 101 #define HUGE_VALL __infinityl.__val 102 #endif 103 104 /* 7.12#4 INFINITY */ 105 #if defined(__INFINITY) 106 #define INFINITY __INFINITY /* float constant which overflows */ 107 #elif __GNUC_PREREQ__(3, 3) 108 #define INFINITY __builtin_inff() 109 #else 110 #define INFINITY HUGE_VALF /* positive infinity */ 111 #endif /* __INFINITY */ 112 113 /* 7.12#5 NAN: a quiet NaN, if supported */ 114 #ifdef __HAVE_NANF 115 #if __GNUC_PREREQ__(3,3) 116 #define NAN __builtin_nanf("") 117 #else 118 extern const union __float_u __nanf; 119 #define NAN __nanf.__val 120 #endif 121 #endif /* __HAVE_NANF */ 122 123 /* 7.12#6 number classification macros */ 124 #define FP_INFINITE 0x00 125 #define FP_NAN 0x01 126 #define FP_NORMAL 0x02 127 #define FP_SUBNORMAL 0x03 128 #define FP_ZERO 0x04 129 /* NetBSD extensions */ 130 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 131 #define _FP_HIMD 0xff 132 133 #define FP_ILOGB0 INT_MIN 134 #define FP_ILOGBNAN INT_MAX 135 136 #endif /* !_ANSI_SOURCE && ... */ 137 138 /* 139 * XOPEN/SVID 140 */ 141 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 142 #define M_E 2.7182818284590452354 /* e */ 143 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 144 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 145 #define M_LN2 0.69314718055994530942 /* log e2 */ 146 #define M_LN10 2.30258509299404568402 /* log e10 */ 147 #define M_PI 3.14159265358979323846 /* pi */ 148 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 149 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 150 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 151 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 152 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 153 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 154 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 155 156 #define MAXFLOAT ((float)3.40282346638528860e+38) 157 extern int signgam; 158 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 159 160 #if defined(_NETBSD_SOURCE) 161 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 162 163 #define _LIB_VERSION_TYPE enum fdversion 164 #define _LIB_VERSION _fdlib_version 165 166 /* if global variable _LIB_VERSION is not desirable, one may 167 * change the following to be a constant by: 168 * #define _LIB_VERSION_TYPE const enum version 169 * In that case, after one initializes the value _LIB_VERSION (see 170 * s_lib_version.c) during compile time, it cannot be modified 171 * in the middle of a program 172 */ 173 extern _LIB_VERSION_TYPE _LIB_VERSION; 174 175 #define _IEEE_ fdlibm_ieee 176 #define _SVID_ fdlibm_svid 177 #define _XOPEN_ fdlibm_xopen 178 #define _POSIX_ fdlibm_posix 179 180 #ifndef __cplusplus 181 struct exception { 182 int type; 183 const char *name; 184 double arg1; 185 double arg2; 186 double retval; 187 }; 188 #endif 189 190 #define HUGE MAXFLOAT 191 192 /* 193 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 194 * (one may replace the following line by "#include <values.h>") 195 */ 196 197 #define X_TLOSS 1.41484755040568800000e+16 198 199 #define DOMAIN 1 200 #define SING 2 201 #define OVERFLOW 3 202 #define UNDERFLOW 4 203 #define TLOSS 5 204 #define PLOSS 6 205 206 #endif /* _NETBSD_SOURCE */ 207 208 __BEGIN_DECLS 209 /* 210 * ANSI/POSIX 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 exp2(double); 226 double frexp(double, int *); 227 double ldexp(double, int); 228 double log(double); 229 double log2(double); 230 double log10(double); 231 double modf(double, double *); 232 233 double pow(double, double); 234 double sqrt(double); 235 236 double ceil(double); 237 double fabs(double); 238 double floor(double); 239 double fmod(double, double); 240 241 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 242 double erf(double); 243 double erfc(double); 244 double gamma(double); 245 double hypot(double, double); 246 int finite(double); 247 double j0(double); 248 double j1(double); 249 double jn(int, double); 250 double lgamma(double); 251 double y0(double); 252 double y1(double); 253 double yn(int, double); 254 255 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 256 double scalb(double, double); 257 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 258 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 259 260 /* 261 * ISO C99 262 */ 263 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 264 !defined(_XOPEN_SOURCE) || \ 265 ((__STDC_VERSION__ - 0) >= 199901L) || \ 266 ((_POSIX_C_SOURCE - 0) >= 200809L) || \ 267 ((_XOPEN_SOURCE - 0) >= 500) || \ 268 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 269 double acosh(double); 270 double asinh(double); 271 double atanh(double); 272 double cbrt(double); 273 double expm1(double); 274 int ilogb(double); 275 double log1p(double); 276 double logb(double); 277 double nextafter(double, double); 278 double remainder(double, double); 279 double rint(double); 280 #endif 281 282 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 283 !defined(_XOPEN_SOURCE) || \ 284 ((__STDC_VERSION__ - 0) >= 199901L) || \ 285 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 286 ((_XOPEN_SOURCE - 0) >= 600) || \ 287 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 288 /* 7.12.3.1 int fpclassify(real-floating x) */ 289 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 290 291 /* 7.12.3.2 int isfinite(real-floating x) */ 292 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 293 294 /* 7.12.3.5 int isnormal(real-floating x) */ 295 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 296 297 /* 7.12.3.6 int signbit(real-floating x) */ 298 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 299 300 /* 7.12.4 trigonometric */ 301 302 float acosf(float); 303 float asinf(float); 304 float atanf(float); 305 float atan2f(float, float); 306 float cosf(float); 307 float sinf(float); 308 float tanf(float); 309 310 long double acosl(long double); 311 long double asinl(long double); 312 long double atanl(long double); 313 long double atan2l(long double, long double); 314 long double cosl(long double); 315 long double sinl(long double); 316 long double tanl(long double); 317 318 /* 7.12.5 hyperbolic */ 319 320 float acoshf(float); 321 float asinhf(float); 322 float atanhf(float); 323 float coshf(float); 324 float sinhf(float); 325 float tanhf(float); 326 long double acoshl(long double); 327 long double asinhl(long double); 328 long double atanhl(long double); 329 long double coshl(long double); 330 long double sinhl(long double); 331 long double tanhl(long double); 332 333 /* 7.12.6 exp / log */ 334 335 float expf(float); 336 float exp2f(float); 337 float expm1f(float); 338 float frexpf(float, int *); 339 int ilogbf(float); 340 float ldexpf(float, int); 341 float logf(float); 342 float log2f(float); 343 float log10f(float); 344 float log1pf(float); 345 float logbf(float); 346 float modff(float, float *); 347 float scalbnf(float, int); 348 float scalblnf(float, long); 349 350 long double expl(long double); 351 long double exp2l(long double); 352 long double expm1l(long double); 353 long double frexpl(long double, int *); 354 int ilogbl(long double); 355 long double ldexpl(long double, int); 356 long double logl(long double); 357 long double log2l(long double); 358 long double log10l(long double); 359 long double log1pl(long double); 360 long double logbl(long double); 361 long double modfl(long double, long double *); 362 long double scalbnl(long double, int); 363 long double scalblnl(long double, long); 364 365 366 /* 7.12.7 power / absolute */ 367 368 float cbrtf(float); 369 float fabsf(float); 370 float hypotf(float, float); 371 float powf(float, float); 372 float sqrtf(float); 373 long double cbrtl(long double); 374 long double fabsl(long double); 375 long double hypotl(long double, long double); 376 long double powl(long double, long double); 377 long double sqrtl(long double); 378 379 /* 7.12.8 error / gamma */ 380 381 double tgamma(double); 382 float erff(float); 383 float erfcf(float); 384 float lgammaf(float); 385 float tgammaf(float); 386 long double erfl(long double); 387 long double erfcl(long double); 388 long double lgammal(long double); 389 long double tgammal(long double); 390 391 /* 7.12.9 nearest integer */ 392 393 /* LONGLONG */ 394 long long int llrint(double); 395 long int lround(double); 396 /* LONGLONG */ 397 long long int llround(double); 398 long int lrint(double); 399 double round(double); 400 double trunc(double); 401 402 float ceilf(float); 403 float floorf(float); 404 /* LONGLONG */ 405 long long int llrintf(float); 406 long int lroundf(float); 407 /* LONGLONG */ 408 long long int llroundf(float); 409 long int lrintf(float); 410 float rintf(float); 411 float roundf(float); 412 float truncf(float); 413 long double ceill(long double); 414 long double floorl(long double); 415 /* LONGLONG */ 416 long long int llrintl(long double); 417 long int lroundl(long double); 418 /* LONGLONG */ 419 long long int llroundl(long double); 420 long int lrintl(long double); 421 long double rintl(long double); 422 long double roundl(long double); 423 long double truncl(long double); 424 425 /* 7.12.10 remainder */ 426 427 float fmodf(float, float); 428 float remainderf(float, float); 429 long double fmodl(long double, long double); 430 long double remainderl(long double, long double); 431 432 /* 7.12.10.3 The remquo functions */ 433 double remquo(double, double, int *); 434 float remquof(float, float, int *); 435 long double remquol(long double, long double, int *); 436 437 /* 7.12.11 manipulation */ 438 439 double nan(const char *); 440 double nearbyint(double); 441 double nexttoward(double, long double); 442 float copysignf(float, float); 443 float nanf(const char *); 444 float nearbyintf(float); 445 float nextafterf(float, float); 446 float nexttowardf(float, long double); 447 long double copysignl(long double, long double); 448 long double nanl(const char *); 449 long double nearbyintl(long double); 450 long double nextafterl(long double, long double); 451 long double nexttowardl(long double, long double); 452 453 /* 7.12.14 comparison */ 454 455 #define isunordered(x, y) (isnan(x) || isnan(y)) 456 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 457 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 458 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 459 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 460 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 461 ((x) > (y) || (y) > (x))) 462 double fdim(double, double); 463 double fma(double, double, double); 464 double fmax(double, double); 465 double fmin(double, double); 466 float fdimf(float, float); 467 float fmaf(float, float, float); 468 float fmaxf(float, float); 469 float fminf(float, float); 470 long double fdiml(long double, long double); 471 long double fmal(long double, long double, long double); 472 long double fmaxl(long double, long double); 473 long double fminl(long double, long double); 474 475 #endif /* !_ANSI_SOURCE && ... */ 476 477 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 478 !defined(_XOPEN_SOURCE) || \ 479 ((__STDC_VERSION__ - 0) >= 199901L) || \ 480 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 481 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 482 /* 7.12.3.3 int isinf(real-floating x) */ 483 #if defined(__isinf) || defined(__HAVE_INLINE___ISINF) 484 #define isinf(__x) __isinf(__x) 485 #else 486 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 487 #endif 488 489 /* 7.12.3.4 int isnan(real-floating x) */ 490 #if defined(__isnan) || defined(__HAVE_INLINE___ISNAN) 491 #define isnan(__x) __isnan(__x) 492 #else 493 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 494 #endif 495 #endif /* !_ANSI_SOURCE && ... */ 496 497 #if defined(_NETBSD_SOURCE) 498 #ifndef __cplusplus 499 int matherr(struct exception *); 500 #endif 501 502 /* 503 * IEEE Test Vector 504 */ 505 double significand(double); 506 507 /* 508 * Functions callable from C, intended to support IEEE arithmetic. 509 */ 510 double copysign(double, double); 511 double scalbn(double, int); 512 double scalbln(double, long); 513 514 /* 515 * BSD math library entry points 516 */ 517 double drem(double, double); 518 519 #endif /* _NETBSD_SOURCE */ 520 521 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 522 /* 523 * Reentrant version of gamma & lgamma; passes signgam back by reference 524 * as the second argument; user must allocate space for signgam. 525 */ 526 double gamma_r(double, int *); 527 double lgamma_r(double, int *); 528 #endif /* _NETBSD_SOURCE || _REENTRANT */ 529 530 531 #if defined(_NETBSD_SOURCE) 532 533 /* float versions of ANSI/POSIX functions */ 534 535 float gammaf(float); 536 int isinff(float); 537 int isnanf(float); 538 int finitef(float); 539 float j0f(float); 540 float j1f(float); 541 float jnf(int, float); 542 float y0f(float); 543 float y1f(float); 544 float ynf(int, float); 545 546 float scalbf(float, float); 547 548 /* 549 * float version of IEEE Test Vector 550 */ 551 float significandf(float); 552 553 /* 554 * float versions of BSD math library entry points 555 */ 556 float dremf(float, float); 557 #endif /* _NETBSD_SOURCE */ 558 559 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 560 /* 561 * Float versions of reentrant version of gamma & lgamma; passes 562 * signgam back by reference as the second argument; user must 563 * allocate space for signgam. 564 */ 565 float gammaf_r(float, int *); 566 float lgammaf_r(float, int *); 567 #endif /* !... || _REENTRANT */ 568 569 /* 570 * Library implementation 571 */ 572 int __fpclassifyf(float); 573 int __fpclassifyd(double); 574 int __isfinitef(float); 575 int __isfinited(double); 576 int __isinff(float); 577 int __isinfd(double); 578 int __isnanf(float); 579 int __isnand(double); 580 int __signbitf(float); 581 int __signbitd(double); 582 583 #ifdef __HAVE_LONG_DOUBLE 584 int __fpclassifyl(long double); 585 int __isfinitel(long double); 586 int __isinfl(long double); 587 int __isnanl(long double); 588 int __signbitl(long double); 589 #endif 590 591 __END_DECLS 592 593 #endif /* _MATH_H_ */ 594
Indexes created Mon Oct 20 08:09:54 GMT 2025