math.h revision 1.48
1 /* $NetBSD: math.h,v 1.48 2009/02/22 01:34:01 martin 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 extern const union __double_u __infinity; 63 #define HUGE_VAL __infinity.__val 64 65 /* 66 * ISO C99 67 */ 68 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 69 !defined(_XOPEN_SOURCE) || \ 70 ((__STDC_VERSION__ - 0) >= 199901L) || \ 71 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 72 ((_XOPEN_SOURCE - 0) >= 600) || \ 73 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 74 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ 75 extern const union __float_u __infinityf; 76 #define HUGE_VALF __infinityf.__val 77 78 extern const union __long_double_u __infinityl; 79 #define HUGE_VALL __infinityl.__val 80 81 /* 7.12#4 INFINITY */ 82 #ifdef __INFINITY 83 #define INFINITY __INFINITY /* float constant which overflows */ 84 #else 85 #define INFINITY HUGE_VALF /* positive infinity */ 86 #endif /* __INFINITY */ 87 88 /* 7.12#5 NAN: a quiet NaN, if supported */ 89 #ifdef __HAVE_NANF 90 #if __GNUC_PREREQ__(3,3) 91 #define NAN __builtin_nanf("") 92 #else 93 extern const union __float_u __nanf; 94 #define NAN __nanf.__val 95 #endif 96 #endif /* __HAVE_NANF */ 97 98 /* 7.12#6 number classification macros */ 99 #define FP_INFINITE 0x00 100 #define FP_NAN 0x01 101 #define FP_NORMAL 0x02 102 #define FP_SUBNORMAL 0x03 103 #define FP_ZERO 0x04 104 /* NetBSD extensions */ 105 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 106 #define _FP_HIMD 0xff 107 108 #endif /* !_ANSI_SOURCE && ... */ 109 110 /* 111 * XOPEN/SVID 112 */ 113 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 114 #define M_E 2.7182818284590452354 /* e */ 115 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 116 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 117 #define M_LN2 0.69314718055994530942 /* log e2 */ 118 #define M_LN10 2.30258509299404568402 /* log e10 */ 119 #define M_PI 3.14159265358979323846 /* pi */ 120 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 121 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 122 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 123 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 124 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 125 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 126 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 127 128 #define MAXFLOAT ((float)3.40282346638528860e+38) 129 extern int signgam; 130 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 131 132 #if defined(_NETBSD_SOURCE) 133 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 134 135 #define _LIB_VERSION_TYPE enum fdversion 136 #define _LIB_VERSION _fdlib_version 137 138 /* if global variable _LIB_VERSION is not desirable, one may 139 * change the following to be a constant by: 140 * #define _LIB_VERSION_TYPE const enum version 141 * In that case, after one initializes the value _LIB_VERSION (see 142 * s_lib_version.c) during compile time, it cannot be modified 143 * in the middle of a program 144 */ 145 extern _LIB_VERSION_TYPE _LIB_VERSION; 146 147 #define _IEEE_ fdlibm_ieee 148 #define _SVID_ fdlibm_svid 149 #define _XOPEN_ fdlibm_xopen 150 #define _POSIX_ fdlibm_posix 151 152 #ifndef __cplusplus 153 struct exception { 154 int type; 155 const char *name; 156 double arg1; 157 double arg2; 158 double retval; 159 }; 160 #endif 161 162 #define HUGE MAXFLOAT 163 164 /* 165 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 166 * (one may replace the following line by "#include <values.h>") 167 */ 168 169 #define X_TLOSS 1.41484755040568800000e+16 170 171 #define DOMAIN 1 172 #define SING 2 173 #define OVERFLOW 3 174 #define UNDERFLOW 4 175 #define TLOSS 5 176 #define PLOSS 6 177 178 #endif /* _NETBSD_SOURCE */ 179 180 __BEGIN_DECLS 181 /* 182 * ANSI/POSIX 183 */ 184 double acos(double); 185 double asin(double); 186 double atan(double); 187 double atan2(double, double); 188 double cos(double); 189 double sin(double); 190 double tan(double); 191 192 double cosh(double); 193 double sinh(double); 194 double tanh(double); 195 196 double exp(double); 197 double frexp(double, int *); 198 double ldexp(double, int); 199 double log(double); 200 double log2(double); 201 double log10(double); 202 double modf(double, double *); 203 204 double pow(double, double); 205 double sqrt(double); 206 207 double ceil(double); 208 double fabs(double); 209 double floor(double); 210 double fmod(double, double); 211 212 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 213 double erf(double); 214 double erfc(double); 215 double gamma(double); 216 double hypot(double, double); 217 int finite(double); 218 double j0(double); 219 double j1(double); 220 double jn(int, double); 221 double lgamma(double); 222 double y0(double); 223 double y1(double); 224 double yn(int, double); 225 226 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 227 double acosh(double); 228 double asinh(double); 229 double atanh(double); 230 double cbrt(double); 231 double expm1(double); 232 int ilogb(double); 233 double log1p(double); 234 double logb(double); 235 double nextafter(double, double); 236 double remainder(double, double); 237 double rint(double); 238 double scalb(double, double); 239 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 240 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 241 242 /* 243 * ISO C99 244 */ 245 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 246 !defined(_XOPEN_SOURCE) || \ 247 ((__STDC_VERSION__ - 0) >= 199901L) || \ 248 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 249 ((_XOPEN_SOURCE - 0) >= 600) || \ 250 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 251 /* 7.12.3.1 int fpclassify(real-floating x) */ 252 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 253 254 /* 7.12.3.2 int isfinite(real-floating x) */ 255 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 256 257 /* 7.12.3.5 int isnormal(real-floating x) */ 258 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 259 260 /* 7.12.3.6 int signbit(real-floating x) */ 261 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 262 263 /* 7.12.4 trigonometric */ 264 265 float acosf(float); 266 float asinf(float); 267 float atanf(float); 268 float atan2f(float, float); 269 float cosf(float); 270 float sinf(float); 271 float tanf(float); 272 273 /* 7.12.5 hyperbolic */ 274 275 float acoshf(float); 276 float asinhf(float); 277 float atanhf(float); 278 float coshf(float); 279 float sinhf(float); 280 float tanhf(float); 281 282 /* 7.12.6 exp / log */ 283 284 float expf(float); 285 float expm1f(float); 286 float frexpf(float, int *); 287 int ilogbf(float); 288 float ldexpf(float, int); 289 float logf(float); 290 float log2f(float); 291 float log10f(float); 292 float log1pf(float); 293 float logbf(float); 294 float modff(float, float *); 295 float scalbnf(float, int); 296 297 /* 7.12.7 power / absolute */ 298 299 float cbrtf(float); 300 float fabsf(float); 301 float hypotf(float, float); 302 float powf(float, float); 303 float sqrtf(float); 304 305 /* 7.12.8 error / gamma */ 306 307 float erff(float); 308 float erfcf(float); 309 float lgammaf(float); 310 311 /* 7.12.9 nearest integer */ 312 313 float ceilf(float); 314 float floorf(float); 315 float rintf(float); 316 double round(double); 317 float roundf(float); 318 double trunc(double); 319 float truncf(float); 320 long int lrint(double); 321 long int lrintf(float); 322 /* LONGLONG */ 323 long long int llrint(double); 324 /* LONGLONG */ 325 long long int llrintf(float); 326 long int lround(double); 327 long int lroundf(float); 328 /* LONGLONG */ 329 long long int llround(double); 330 /* LONGLONG */ 331 long long int llroundf(float); 332 333 /* 7.12.10 remainder */ 334 335 float fmodf(float, float); 336 float remainderf(float, float); 337 338 /* 7.12.11 manipulation */ 339 340 float copysignf(float, float); 341 double nan(const char *); 342 float nanf(const char *); 343 long double nanl(const char *); 344 float nextafterf(float, float); 345 346 /* 7.12.14 comparision */ 347 348 #define isunordered(x, y) (isnan(x) || isnan(y)) 349 #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) 350 #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) 351 #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) 352 #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) 353 #define islessgreater(x, y) (!isunordered((x), (y)) && \ 354 ((x) > (y) || (y) > (x))) 355 356 #endif /* !_ANSI_SOURCE && ... */ 357 358 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 359 !defined(_XOPEN_SOURCE) || \ 360 ((__STDC_VERSION__ - 0) >= 199901L) || \ 361 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 362 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 363 /* 7.12.3.3 int isinf(real-floating x) */ 364 #ifdef __isinf 365 #define isinf(__x) __isinf(__x) 366 #else 367 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 368 #endif 369 370 /* 7.12.3.4 int isnan(real-floating x) */ 371 #ifdef __isnan 372 #define isnan(__x) __isnan(__x) 373 #else 374 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 375 #endif 376 #endif /* !_ANSI_SOURCE && ... */ 377 378 #if defined(_NETBSD_SOURCE) 379 #ifndef __cplusplus 380 int matherr(struct exception *); 381 #endif 382 383 /* 384 * IEEE Test Vector 385 */ 386 double significand(double); 387 388 /* 389 * Functions callable from C, intended to support IEEE arithmetic. 390 */ 391 double copysign(double, double); 392 double scalbn(double, int); 393 394 /* 395 * BSD math library entry points 396 */ 397 double drem(double, double); 398 399 #endif /* _NETBSD_SOURCE */ 400 401 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 402 /* 403 * Reentrant version of gamma & lgamma; passes signgam back by reference 404 * as the second argument; user must allocate space for signgam. 405 */ 406 double gamma_r(double, int *); 407 double lgamma_r(double, int *); 408 #endif /* _NETBSD_SOURCE || _REENTRANT */ 409 410 411 #if defined(_NETBSD_SOURCE) 412 413 /* float versions of ANSI/POSIX functions */ 414 415 float gammaf(float); 416 int isinff(float); 417 int isnanf(float); 418 int finitef(float); 419 float j0f(float); 420 float j1f(float); 421 float jnf(int, float); 422 float y0f(float); 423 float y1f(float); 424 float ynf(int, float); 425 426 float scalbf(float, float); 427 428 /* 429 * float version of IEEE Test Vector 430 */ 431 float significandf(float); 432 433 /* 434 * float versions of BSD math library entry points 435 */ 436 float dremf(float, float); 437 #endif /* _NETBSD_SOURCE */ 438 439 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 440 /* 441 * Float versions of reentrant version of gamma & lgamma; passes 442 * signgam back by reference as the second argument; user must 443 * allocate space for signgam. 444 */ 445 float gammaf_r(float, int *); 446 float lgammaf_r(float, int *); 447 #endif /* !... || _REENTRANT */ 448 449 /* 450 * Library implementation 451 */ 452 int __fpclassifyf(float); 453 int __fpclassifyd(double); 454 int __isfinitef(float); 455 int __isfinited(double); 456 int __isinff(float); 457 int __isinfd(double); 458 int __isnanf(float); 459 int __isnand(double); 460 int __signbitf(float); 461 int __signbitd(double); 462 463 #ifdef __HAVE_LONG_DOUBLE 464 int __fpclassifyl(long double); 465 int __isfinitel(long double); 466 int __isinfl(long double); 467 int __isnanl(long double); 468 int __signbitl(long double); 469 #endif 470 __END_DECLS 471 472 #endif /* _MATH_H_ */ 473
Indexes created Tue Sep 23 14:10:03 GMT 2025