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