1 /** $MirOS: src/include/math.h,v 1.11 2012/09/04 18:04:54 tg Exp $ */ 2 /* $NetBSD: math.h,v 1.58 2012/05/05 22:07:57 christos Exp $ */ 3 /* $OpenBSD: math.h,v 1.14 2006/07/12 07:26:07 brad Exp $ */ 4 5 /* 6 * ==================================================== 7 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 8 * 9 * Developed at SunPro, a Sun Microsystems, Inc. business. 10 * Permission to use, copy, modify, and distribute this 11 * software is freely granted, provided that this notice 12 * is preserved. 13 * ==================================================== 14 */ 15 16 /* 17 * @(#)fdlibm.h 5.1 93/09/24 18 */ 19 20 #ifndef _MATH_H_ 21 #define _MATH_H_ "$MirOS: src/include/math.h,v 1.11 2012/09/04 18:04:54 tg Exp $" 22 23 #include <sys/cdefs.h> 24 #ifdef __NetBSD__ 25 #include <sys/featuretest.h> 26 #endif 27 28 union __float_u { 29 unsigned char __dummy[sizeof(float)]; 30 float __val; 31 }; 32 33 union __double_u { 34 unsigned char __dummy[sizeof(double)]; 35 double __val; 36 }; 37 38 #ifndef __MirBSD__ 39 union __long_double_u { 40 unsigned char __dummy[sizeof(long double)]; 41 long double __val; 42 }; 43 #else 44 #ifdef __HAVE_LONG_DOUBLE 45 # warning Huh, long double on MirBSD, since when? 46 #endif 47 #endif 48 49 #include <machine/math.h> /* may use __float_u, __double_u, 50 or __long_double_u */ 51 52 #ifdef __HAVE_LONG_DOUBLE 53 #define __fpmacro_unary_floating(__name, __arg0) \ 54 /* LINTED */ \ 55 ((sizeof (__arg0) == sizeof (float)) \ 56 ? __ ## __name ## f (__arg0) \ 57 : (sizeof (__arg0) == sizeof (double)) \ 58 ? __ ## __name ## d (__arg0) \ 59 : __ ## __name ## l (__arg0)) 60 #else 61 #define __fpmacro_unary_floating(__name, __arg0) \ 62 /* LINTED */ \ 63 ((sizeof (__arg0) == sizeof (float)) \ 64 ? __ ## __name ## f (__arg0) \ 65 : __ ## __name ## d (__arg0)) 66 #endif /* __HAVE_LONG_DOUBLE */ 67 68 /* 69 * ANSI/POSIX 70 */ 71 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 72 #if __GNUC_PREREQ__(3, 3) 73 #define HUGE_VAL __builtin_huge_val() 74 #else 75 extern const union __double_u __infinity; 76 #define HUGE_VAL __infinity.__val 77 #endif 78 79 /* 80 * ISO C99 81 */ 82 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 83 !defined(_XOPEN_SOURCE) || \ 84 ((__STDC_VERSION__ - 0) >= 199901L) || \ 85 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 86 ((_XOPEN_SOURCE - 0) >= 600) || \ 87 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) || __OPENBSD_VISIBLE 88 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 89 #if __GNUC_PREREQ__(3, 3) 90 #define HUGE_VALF __builtin_huge_valf() 91 #define HUGE_VALL __builtin_huge_vall() 92 #else 93 extern const union __float_u __infinityf; 94 #define HUGE_VALF __infinityf.__val 95 96 #ifdef __HAVE_LONG_DOUBLE 97 extern const union __long_double_u __infinityl; 98 #define HUGE_VALL __infinityl.__val 99 #endif 100 #endif 101 102 /* 7.12#4 INFINITY */ 103 #if defined(__INFINITY) 104 #define INFINITY __INFINITY /* float constant which overflows */ 105 #elif __GNUC_PREREQ__(3, 3) 106 #define INFINITY __builtin_inff() 107 #else 108 #define INFINITY HUGE_VALF /* positive infinity */ 109 #endif /* __INFINITY */ 110 111 /* 7.12#5 NAN: a quiet NaN, if supported */ 112 #ifdef __HAVE_NANF 113 #if __GNUC_PREREQ__(3,3) 114 #define NAN __builtin_nanf("") 115 #else 116 extern const union __float_u __nanf; 117 #define NAN __nanf.__val 118 #endif 119 #endif /* __HAVE_NANF */ 120 121 /* 7.12#6 number classification macros */ 122 #define FP_INFINITE 0x00 123 #define FP_NAN 0x01 124 #define FP_NORMAL 0x02 125 #define FP_SUBNORMAL 0x03 126 #define FP_ZERO 0x04 127 /* NetBSD extensions */ 128 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 129 #define _FP_HIMD 0xff 130 131 #endif /* !_ANSI_SOURCE && ... */ 132 133 /* 134 * C99 135 */ 136 137 /* XXX just appease the committee for now, needs proper defs... */ 138 139 typedef float float_t; 140 typedef double double_t; 141 #define FLT_EVAL_METHOD (-1) 142 143 /* 144 * XOPEN/SVID 145 */ 146 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE) 147 #define M_E 2.7182818284590452354 /* e */ 148 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 149 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 150 #define M_LN2 0.69314718055994530942 /* log e2 */ 151 #define M_LN10 2.30258509299404568402 /* log e10 */ 152 #define M_PI 3.14159265358979323846 /* pi */ 153 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 154 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 155 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 156 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 157 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 158 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 159 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 160 161 #ifdef __vax__ 162 #define MAXFLOAT ((float)1.70141173319264430e+38) 163 #else 164 #define MAXFLOAT ((float)3.40282346638528860e+38) 165 #endif 166 167 extern int signgam; 168 169 #if !defined(_XOPEN_SOURCE) 170 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 171 172 #define _LIB_VERSION_TYPE enum fdversion 173 #define _LIB_VERSION _fdlib_version 174 175 /* if global variable _LIB_VERSION is not desirable, one may 176 * change the following to be a constant by: 177 * #define _LIB_VERSION_TYPE const enum version 178 * In that case, after one initializes the value _LIB_VERSION (see 179 * s_lib_version.c) during compile time, it cannot be modified 180 * in the middle of a program 181 */ 182 extern _LIB_VERSION_TYPE _LIB_VERSION; 183 184 #define _IEEE_ fdlibm_ieee 185 #define _SVID_ fdlibm_svid 186 #define _XOPEN_ fdlibm_xopen 187 #define _POSIX_ fdlibm_posix 188 189 #ifndef __cplusplus 190 struct exception { 191 int type; 192 const char *name; 193 double arg1; 194 double arg2; 195 double retval; 196 }; 197 #endif 198 199 #define HUGE MAXFLOAT 200 201 /* 202 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 203 * (one may replace the following line by "#include <values.h>") 204 */ 205 206 #define X_TLOSS 1.41484755040568800000e+16 207 208 #define DOMAIN 1 209 #define SING 2 210 #define OVERFLOW 3 211 #define UNDERFLOW 4 212 #define TLOSS 5 213 #define PLOSS 6 214 215 #endif /* !_XOPEN_SOURCE */ 216 #endif /* !_ANSI_SOURCE && !_POSIX_SOURCE */ 217 218 __BEGIN_DECLS 219 /* 220 * ANSI/POSIX 221 */ 222 double acos(double); 223 double asin(double); 224 double atan(double); 225 double atan2(double, double); 226 double cos(double); 227 double sin(double); 228 double tan(double); 229 230 double cosh(double); 231 double sinh(double); 232 double tanh(double); 233 234 double exp(double); 235 double exp2(double); 236 double frexp(double, int *); 237 double ldexp(double, int); 238 double log(double); 239 double log2(double); 240 double log10(double); 241 double modf(double, double *); 242 243 double pow(double, double); 244 double sqrt(double); 245 246 double ceil(double); 247 double fabs(double); 248 double floor(double); 249 double fmod(double, double); 250 251 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_SOURCE) 252 double erf(double); 253 double erfc(double); 254 double gamma(double); 255 double hypot(double, double); 256 int finite(double); 257 double j0(double); 258 double j1(double); 259 double jn(int, double); 260 double lgamma(double); 261 double y0(double); 262 double y1(double); 263 double yn(int, double); 264 265 #if !defined(_XOPEN_SOURCE) 266 double acosh(double); 267 double asinh(double); 268 double atanh(double); 269 double cbrt(double); 270 double expm1(double); 271 int ilogb(double); 272 double log1p(double); 273 double logb(double); 274 double nextafter(double, double); 275 double remainder(double, double); 276 double rint(double); 277 double scalb(double, double); 278 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 279 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 280 281 /* 282 * ISO C99 283 */ 284 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 285 !defined(_XOPEN_SOURCE) || \ 286 ((__STDC_VERSION__ - 0) >= 199901L) || \ 287 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 288 ((_XOPEN_SOURCE - 0) >= 600) || \ 289 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) || __OPENBSD_VISIBLE 290 /* 7.12.3.1 int fpclassify(real-floating x) */ 291 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 292 293 /* 7.12.3.2 int isfinite(real-floating x) */ 294 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 295 296 /* 7.12.3.5 int isnormal(real-floating x) */ 297 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 298 299 /* 7.12.3.6 int signbit(real-floating x) */ 300 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 301 302 /* 7.12.4 trigonometric */ 303 304 float acosf(float); 305 float asinf(float); 306 float atanf(float); 307 float atan2f(float, float); 308 float cosf(float); 309 float sinf(float); 310 float tanf(float); 311 312 /* 7.12.5 hyperbolic */ 313 314 float acoshf(float); 315 float asinhf(float); 316 float atanhf(float); 317 float coshf(float); 318 float sinhf(float); 319 float tanhf(float); 320 321 /* 7.12.6 exp / log */ 322 323 float expf(float); 324 float exp2f(float); 325 float expm1f(float); 326 float frexpf(float, int *); 327 int ilogbf(float); 328 float ldexpf(float, int); 329 float logf(float); 330 float log2f(float); 331 float log10f(float); 332 float log1pf(float); 333 float logbf(float); 334 float modff(float, float *); 335 float scalbnf(float, int); 336 337 /* 7.12.7 power / absolute */ 338 339 float cbrtf(float); 340 float fabsf(float); 341 float hypotf(float, float); 342 float powf(float, float); 343 float sqrtf(float); 344 345 /* 7.12.8 error / gamma */ 346 347 float erff(float); 348 float erfcf(float); 349 float lgammaf(float); 350 351 /* 7.12.9 nearest integer */ 352 353 float ceilf(float); 354 float floorf(float); 355 float rintf(float); 356 double round(double); 357 float roundf(float); 358 double trunc(double); 359 float truncf(float); 360 long int lrint(double); 361 long int lrintf(float); 362 /* LONGLONG */ 363 long long int llrint(double); 364 /* LONGLONG */ 365 long long int llrintf(float); 366 long int lround(double); 367 long int lroundf(float); 368 /* LONGLONG */ 369 long long int llround(double); 370 /* LONGLONG */ 371 long long int llroundf(float); 372 373 /* 7.12.10 remainder */ 374 375 float fmodf(float, float); 376 float remainderf(float, float); 377 378 /* 7.12.10.3 The remquo functions */ 379 double remquo(double, double, int *); 380 float remquof(float, float, int *); 381 382 /* 7.12.11 manipulation */ 383 384 float copysignf(float, float); 385 double nan(const char *); 386 float nanf(const char *); 387 float nextafterf(float, float); 388 389 /* 7.12.14 comparison */ 390 391 #define isunordered(x, y) (isnan(x) || isnan(y)) 392 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 393 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 394 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 395 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 396 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 397 ((x) > (y) || (y) > (x))) 398 double fdim(double, double); 399 double fmax(double, double); 400 double fmin(double, double); 401 float fdimf(float, float); 402 float fmaxf(float, float); 403 float fminf(float, float); 404 405 #endif /* !_ANSI_SOURCE && ... */ 406 407 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 408 !defined(_XOPEN_SOURCE) || \ 409 ((__STDC_VERSION__ - 0) >= 199901L) || \ 410 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 411 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) || __OPENBSD_VISIBLE 412 /* 7.12.3.3 int isinf(real-floating x) */ 413 #ifdef __isinf 414 #define isinf(__x) __isinf(__x) 415 #else 416 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 417 #endif 418 419 /* 7.12.3.4 int isnan(real-floating x) */ 420 #ifdef __isnan 421 #define isnan(__x) __isnan(__x) 422 #else 423 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 424 #endif 425 #endif /* !_ANSI_SOURCE && ... */ 426 427 #if defined(_NETBSD_SOURCE) || __OPENBSD_VISIBLE 428 #ifndef __cplusplus 429 int matherr(struct exception *); 430 #endif 431 432 /* 433 * IEEE Test Vector 434 */ 435 double significand(double); 436 437 /* 438 * Functions callable from C, intended to support IEEE arithmetic. 439 */ 440 double copysign(double, double); 441 double scalbn(double, int); 442 443 /* 444 * BSD math library entry points 445 */ 446 #ifndef __MATH_PRIVATE__ 447 double cabs(/* struct complex { double r; double i; } */); 448 #endif 449 double drem(double, double); 450 451 #endif /* _NETBSD_SOURCE */ 452 453 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) || __OPENBSD_VISIBLE 454 /* 455 * Reentrant version of gamma & lgamma; passes signgam back by reference 456 * as the second argument; user must allocate space for signgam. 457 */ 458 double gamma_r(double, int *); 459 double lgamma_r(double, int *); 460 #endif /* _NETBSD_SOURCE || _REENTRANT */ 461 462 463 #if defined(_NETBSD_SOURCE) || __OPENBSD_VISIBLE 464 465 /* float versions of ANSI/POSIX functions */ 466 467 float gammaf(float); 468 int isinff(float); 469 int isnanf(float); 470 int finitef(float); 471 float j0f(float); 472 float j1f(float); 473 float jnf(int, float); 474 float y0f(float); 475 float y1f(float); 476 float ynf(int, float); 477 478 float scalbf(float, float); 479 480 /* 481 * float version of IEEE Test Vector 482 */ 483 float significandf(float); 484 485 /* 486 * float versions of BSD math library entry points 487 */ 488 #ifndef __MATH_PRIVATE__ 489 float cabsf(/* struct complex { float r; float i; } */); 490 #endif 491 float dremf(float, float); 492 #endif /* _NETBSD_SOURCE */ 493 494 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) || __OPENBSD_VISIBLE 495 /* 496 * Float versions of reentrant version of gamma & lgamma; passes 497 * signgam back by reference as the second argument; user must 498 * allocate space for signgam. 499 */ 500 float gammaf_r(float, int *); 501 float lgammaf_r(float, int *); 502 #endif /* !... || _REENTRANT */ 503 504 /* 505 * Library implementation 506 */ 507 int __fpclassifyf(float); 508 int __fpclassifyd(double); 509 int __isfinitef(float); 510 int __isfinited(double); 511 int __isinff(float); 512 int __isinfd(double); 513 int __isnanf(float); 514 int __isnand(double); 515 int __signbitf(float); 516 int __signbitd(double); 517 518 #ifdef __HAVE_LONG_DOUBLE 519 int __fpclassifyl(long double); 520 int __isfinitel(long double); 521 int __isinfl(long double); 522 int __isnanl(long double); 523 int __signbitl(long double); 524 #endif 525 __END_DECLS 526 527 #endif /* _MATH_H_ */ 528