math.h revision 1.66
1 /* $NetBSD: math.h,v 1.66 2020/02/22 22:47:35 joerg 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 /* 25 * Missing for C99 support: 26 * - MATH_ERRNO 27 * - MATH_ERREXCEPT 28 * - FP_FAST_FMA 29 * - FP_FAST_FMAF 30 * - FP_FAST_FMAL 31 * - math_errhandling 32 */ 33 34 union __float_u { 35 unsigned char __dummy[sizeof(float)]; 36 float __val; 37 }; 38 39 union __double_u { 40 unsigned char __dummy[sizeof(double)]; 41 double __val; 42 }; 43 44 union __long_double_u { 45 unsigned char __dummy[sizeof(long double)]; 46 long double __val; 47 }; 48 49 #include <machine/math.h> /* may use __float_u, __double_u, 50 or __long_double_u */ 51 #include <limits.h> /* for INT_{MIN,MAX} */ 52 53 #if (!defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 54 !defined(_XOPEN_SOURCE)) || ((_POSIX_C_SOURCE - 0) >= 200809L || \ 55 defined(_ISOC99_SOURCE) || (__STDC_VERSION__ - 0) >= 199901L || \ 56 (__cplusplus - 0) >= 201103L || defined(_NETBSD_SOURCE)) 57 #define __MATH_C99_FEATURES 58 #endif 59 60 #ifdef __MATH_C99_FEATURES 61 # if defined(__FLT_EVAL_METHOD__) && (__FLT_EVAL_METHOD__ - 0) == 0 62 typedef double double_t; 63 typedef float float_t; 64 # elif (__FLT_EVAL_METHOD__ - 0) == 1 65 typedef double double_t; 66 typedef double float_t; 67 # elif (__FLT_EVAL_METHOD__ - 0) == 2 68 typedef long double double_t; 69 typedef long double float_t; 70 # endif 71 #endif 72 73 #ifdef __HAVE_LONG_DOUBLE 74 #define __fpmacro_unary_floating(__name, __arg0) \ 75 /* LINTED */ \ 76 ((sizeof (__arg0) == sizeof (float)) \ 77 ? __ ## __name ## f (__arg0) \ 78 : (sizeof (__arg0) == sizeof (double)) \ 79 ? __ ## __name ## d (__arg0) \ 80 : __ ## __name ## l (__arg0)) 81 #else 82 #define __fpmacro_unary_floating(__name, __arg0) \ 83 /* LINTED */ \ 84 ((sizeof (__arg0) == sizeof (float)) \ 85 ? __ ## __name ## f (__arg0) \ 86 : __ ## __name ## d (__arg0)) 87 #endif /* __HAVE_LONG_DOUBLE */ 88 89 /* 90 * ANSI/POSIX 91 */ 92 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 93 #if __GNUC_PREREQ__(3, 3) 94 #define HUGE_VAL __builtin_huge_val() 95 #else 96 extern const union __double_u __infinity; 97 #define HUGE_VAL __infinity.__val 98 #endif 99 100 /* 101 * ISO C99 102 */ 103 #if defined(__MATH_C99_FEATURES) || \ 104 (_POSIX_C_SOURCE - 0) >= 200112L || (_XOPEN_SOURCE - 0) >= 600 105 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 106 #if __GNUC_PREREQ__(3, 3) 107 #define HUGE_VALF __builtin_huge_valf() 108 #define HUGE_VALL __builtin_huge_vall() 109 #else 110 extern const union __float_u __infinityf; 111 #define HUGE_VALF __infinityf.__val 112 113 extern const union __long_double_u __infinityl; 114 #define HUGE_VALL __infinityl.__val 115 #endif 116 117 /* 7.12#4 INFINITY */ 118 #if defined(__INFINITY) 119 #define INFINITY __INFINITY /* float constant which overflows */ 120 #elif __GNUC_PREREQ__(3, 3) 121 #define INFINITY __builtin_inff() 122 #else 123 #define INFINITY HUGE_VALF /* positive infinity */ 124 #endif /* __INFINITY */ 125 126 /* 7.12#5 NAN: a quiet NaN, if supported */ 127 #ifdef __HAVE_NANF 128 #if __GNUC_PREREQ__(3,3) 129 #define NAN __builtin_nanf("") 130 #else 131 extern const union __float_u __nanf; 132 #define NAN __nanf.__val 133 #endif 134 #endif /* __HAVE_NANF */ 135 136 /* 7.12#6 number classification macros */ 137 #define FP_INFINITE 0x00 138 #define FP_NAN 0x01 139 #define FP_NORMAL 0x02 140 #define FP_SUBNORMAL 0x03 141 #define FP_ZERO 0x04 142 /* NetBSD extensions */ 143 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 144 #define _FP_HIMD 0xff 145 146 #define FP_ILOGB0 INT_MIN 147 #define FP_ILOGBNAN INT_MAX 148 149 #endif /* C99 || _XOPEN_SOURCE >= 600 */ 150 151 /* 152 * XOPEN/SVID 153 */ 154 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 155 #define M_E 2.7182818284590452354 /* e */ 156 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 157 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 158 #define M_LN2 0.69314718055994530942 /* log e2 */ 159 #define M_LN10 2.30258509299404568402 /* log e10 */ 160 #define M_PI 3.14159265358979323846 /* pi */ 161 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 162 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 163 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 164 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 165 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 166 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 167 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 168 169 #define MAXFLOAT ((float)3.40282346638528860e+38) 170 extern int signgam; 171 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 172 173 #if defined(_NETBSD_SOURCE) 174 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 175 176 #define _LIB_VERSION_TYPE enum fdversion 177 #define _LIB_VERSION _fdlib_version 178 179 /* if global variable _LIB_VERSION is not desirable, one may 180 * change the following to be a constant by: 181 * #define _LIB_VERSION_TYPE const enum version 182 * In that case, after one initializes the value _LIB_VERSION (see 183 * s_lib_version.c) during compile time, it cannot be modified 184 * in the middle of a program 185 */ 186 extern _LIB_VERSION_TYPE _LIB_VERSION; 187 188 #define _IEEE_ fdlibm_ieee 189 #define _SVID_ fdlibm_svid 190 #define _XOPEN_ fdlibm_xopen 191 #define _POSIX_ fdlibm_posix 192 193 #ifndef __cplusplus 194 struct exception { 195 int type; 196 const char *name; 197 double arg1; 198 double arg2; 199 double retval; 200 }; 201 #endif 202 203 #define HUGE MAXFLOAT 204 205 /* 206 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 207 * (one may replace the following line by "#include <values.h>") 208 */ 209 210 #define X_TLOSS 1.41484755040568800000e+16 211 212 #define DOMAIN 1 213 #define SING 2 214 #define OVERFLOW 3 215 #define UNDERFLOW 4 216 #define TLOSS 5 217 #define PLOSS 6 218 219 #endif /* _NETBSD_SOURCE */ 220 221 __BEGIN_DECLS 222 /* 223 * ANSI/POSIX 224 */ 225 double acos(double); 226 double asin(double); 227 double atan(double); 228 double atan2(double, double); 229 double cos(double); 230 double sin(double); 231 double tan(double); 232 233 double cosh(double); 234 double sinh(double); 235 double tanh(double); 236 237 double exp(double); 238 double exp2(double); 239 double frexp(double, int *); 240 double ldexp(double, int); 241 double log(double); 242 double log2(double); 243 double log10(double); 244 double modf(double, double *); 245 246 double pow(double, double); 247 double sqrt(double); 248 249 double ceil(double); 250 double fabs(double); 251 double floor(double); 252 double fmod(double, double); 253 254 #if defined(__MATH_C99_FEATURES) || defined(_XOPEN_SOURCE) 255 double erf(double); 256 double erfc(double); 257 double hypot(double, double); 258 #endif 259 260 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 261 int finite(double); 262 double gamma(double); 263 double j0(double); 264 double j1(double); 265 double jn(int, double); 266 double y0(double); 267 double y1(double); 268 double yn(int, double); 269 270 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 271 double scalb(double, double); 272 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 273 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 274 275 /* 276 * ISO C99 277 */ 278 #if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 500 279 double acosh(double); 280 double asinh(double); 281 double atanh(double); 282 double cbrt(double); 283 double expm1(double); 284 int ilogb(double); 285 double log1p(double); 286 double logb(double); 287 double nextafter(double, double); 288 double remainder(double, double); 289 double rint(double); 290 #endif 291 292 #if defined(__MATH_C99_FEATURES) || (_XOPEN_SOURCE - 0) >= 600 || \ 293 (_POSIX_C_SOURCE - 0) >= 200112L 294 /* 7.12.3.1 int fpclassify(real-floating x) */ 295 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 296 297 /* 7.12.3.2 int isfinite(real-floating x) */ 298 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 299 300 /* 7.12.3.5 int isnormal(real-floating x) */ 301 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 302 303 /* 7.12.3.6 int signbit(real-floating x) */ 304 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 305 306 /* 7.12.4 trigonometric */ 307 308 float acosf(float); 309 float asinf(float); 310 float atanf(float); 311 float atan2f(float, float); 312 float cosf(float); 313 float sinf(float); 314 float tanf(float); 315 316 long double acosl(long double); 317 long double asinl(long double); 318 long double atanl(long double); 319 long double atan2l(long double, long double); 320 long double cosl(long double); 321 long double sinl(long double); 322 long double tanl(long double); 323 324 /* 7.12.5 hyperbolic */ 325 326 float acoshf(float); 327 float asinhf(float); 328 float atanhf(float); 329 float coshf(float); 330 float sinhf(float); 331 float tanhf(float); 332 long double acoshl(long double); 333 long double asinhl(long double); 334 long double atanhl(long double); 335 long double coshl(long double); 336 long double sinhl(long double); 337 long double tanhl(long double); 338 339 /* 7.12.6 exp / log */ 340 double scalbn(double, int); 341 double scalbln(double, long); 342 343 float expf(float); 344 float exp2f(float); 345 float expm1f(float); 346 float frexpf(float, int *); 347 int ilogbf(float); 348 float ldexpf(float, int); 349 float logf(float); 350 float log2f(float); 351 float log10f(float); 352 float log1pf(float); 353 float logbf(float); 354 float modff(float, float *); 355 float scalbnf(float, int); 356 float scalblnf(float, long); 357 358 long double expl(long double); 359 long double exp2l(long double); 360 long double expm1l(long double); 361 long double frexpl(long double, int *); 362 int ilogbl(long double); 363 long double ldexpl(long double, int); 364 long double logl(long double); 365 long double log2l(long double); 366 long double log10l(long double); 367 long double log1pl(long double); 368 long double logbl(long double); 369 long double modfl(long double, long double *); 370 long double scalbnl(long double, int); 371 long double scalblnl(long double, long); 372 373 374 /* 7.12.7 power / absolute */ 375 376 float cbrtf(float); 377 float fabsf(float); 378 float hypotf(float, float); 379 float powf(float, float); 380 float sqrtf(float); 381 long double cbrtl(long double); 382 long double fabsl(long double); 383 long double hypotl(long double, long double); 384 long double powl(long double, long double); 385 long double sqrtl(long double); 386 387 /* 7.12.8 error / gamma */ 388 389 double lgamma(double); 390 double tgamma(double); 391 float erff(float); 392 float erfcf(float); 393 float lgammaf(float); 394 float tgammaf(float); 395 long double erfl(long double); 396 long double erfcl(long double); 397 long double lgammal(long double); 398 long double tgammal(long double); 399 400 /* 7.12.9 nearest integer */ 401 402 /* LONGLONG */ 403 long long int llrint(double); 404 long int lround(double); 405 /* LONGLONG */ 406 long long int llround(double); 407 long int lrint(double); 408 double round(double); 409 double trunc(double); 410 411 float ceilf(float); 412 float floorf(float); 413 /* LONGLONG */ 414 long long int llrintf(float); 415 long int lroundf(float); 416 /* LONGLONG */ 417 long long int llroundf(float); 418 long int lrintf(float); 419 float rintf(float); 420 float roundf(float); 421 float truncf(float); 422 long double ceill(long double); 423 long double floorl(long double); 424 /* LONGLONG */ 425 long long int llrintl(long double); 426 long int lroundl(long double); 427 /* LONGLONG */ 428 long long int llroundl(long double); 429 long int lrintl(long double); 430 long double rintl(long double); 431 long double roundl(long double); 432 long double truncl(long double); 433 434 /* 7.12.10 remainder */ 435 436 float fmodf(float, float); 437 float remainderf(float, float); 438 long double fmodl(long double, long double); 439 long double remainderl(long double, long double); 440 441 /* 7.12.10.3 The remquo functions */ 442 double remquo(double, double, int *); 443 float remquof(float, float, int *); 444 long double remquol(long double, long double, int *); 445 446 /* 7.12.11 manipulation */ 447 448 double copysign(double, double); 449 double nan(const char *); 450 double nearbyint(double); 451 double nexttoward(double, long double); 452 float copysignf(float, float); 453 float nanf(const char *); 454 float nearbyintf(float); 455 float nextafterf(float, float); 456 float nexttowardf(float, long double); 457 long double copysignl(long double, long double); 458 long double nanl(const char *); 459 long double nearbyintl(long double); 460 long double nextafterl(long double, long double); 461 long double nexttowardl(long double, long double); 462 463 /* 7.12.14 comparison */ 464 465 #define isunordered(x, y) (isnan(x) || isnan(y)) 466 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 467 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 468 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 469 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 470 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 471 ((x) > (y) || (y) > (x))) 472 double fdim(double, double); 473 double fma(double, double, double); 474 double fmax(double, double); 475 double fmin(double, double); 476 float fdimf(float, float); 477 float fmaf(float, float, float); 478 float fmaxf(float, float); 479 float fminf(float, float); 480 long double fdiml(long double, long double); 481 long double fmal(long double, long double, long double); 482 long double fmaxl(long double, long double); 483 long double fminl(long double, long double); 484 485 #endif /* !_ANSI_SOURCE && ... */ 486 487 #if defined(__MATH_C99_FEATURES) || (_POSIX_C_SOURCE - 0) >= 200112L 488 /* 7.12.3.3 int isinf(real-floating x) */ 489 #if defined(__isinf) || defined(__HAVE_INLINE___ISINF) 490 #define isinf(__x) __isinf(__x) 491 #else 492 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 493 #endif 494 495 /* 7.12.3.4 int isnan(real-floating x) */ 496 #if defined(__isnan) || defined(__HAVE_INLINE___ISNAN) 497 #define isnan(__x) __isnan(__x) 498 #else 499 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 500 #endif 501 #endif /* !_ANSI_SOURCE && ... */ 502 503 #if defined(_NETBSD_SOURCE) 504 #ifndef __cplusplus 505 int matherr(struct exception *); 506 #endif 507 508 /* 509 * IEEE Test Vector 510 */ 511 double significand(double); 512 513 /* 514 * BSD math library entry points 515 */ 516 double drem(double, double); 517 518 #endif /* _NETBSD_SOURCE */ 519 520 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 521 /* 522 * Reentrant version of gamma & lgamma; passes signgam back by reference 523 * as the second argument; user must allocate space for signgam. 524 */ 525 double gamma_r(double, int *); 526 double lgamma_r(double, int *); 527 #endif /* _NETBSD_SOURCE || _REENTRANT */ 528 529 530 #if defined(_NETBSD_SOURCE) 531 532 /* float versions of ANSI/POSIX functions */ 533 534 float gammaf(float); 535 int isinff(float); 536 int isnanf(float); 537 int finitef(float); 538 float j0f(float); 539 float j1f(float); 540 float jnf(int, float); 541 float y0f(float); 542 float y1f(float); 543 float ynf(int, float); 544 545 float scalbf(float, float); 546 547 /* 548 * float version of IEEE Test Vector 549 */ 550 float significandf(float); 551 552 /* 553 * float versions of BSD math library entry points 554 */ 555 float dremf(float, float); 556 #endif /* _NETBSD_SOURCE */ 557 558 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 559 /* 560 * Float versions of reentrant version of gamma & lgamma; passes 561 * signgam back by reference as the second argument; user must 562 * allocate space for signgam. 563 */ 564 float gammaf_r(float, int *); 565 float lgammaf_r(float, int *); 566 #endif /* !... || _REENTRANT */ 567 568 /* 569 * Library implementation 570 */ 571 int __fpclassifyf(float); 572 int __fpclassifyd(double); 573 int __isfinitef(float); 574 int __isfinited(double); 575 int __isinff(float); 576 int __isinfd(double); 577 int __isnanf(float); 578 int __isnand(double); 579 int __signbitf(float); 580 int __signbitd(double); 581 582 #ifdef __HAVE_LONG_DOUBLE 583 int __fpclassifyl(long double); 584 int __isfinitel(long double); 585 int __isinfl(long double); 586 int __isnanl(long double); 587 int __signbitl(long double); 588 #endif 589 590 __END_DECLS 591 592 #endif /* _MATH_H_ */ 593
Indexes created Tue Sep 23 14:10:03 GMT 2025