math.h revision 1.43
1 /* $NetBSD: math.h,v 1.43 2006/03/23 16:55:42 kleink 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 extern const union __float_u __nanf; 91 #define NAN __nanf.__val 92 #endif /* __HAVE_NANF */ 93 94 /* 7.12#6 number classification macros */ 95 #define FP_INFINITE 0x00 96 #define FP_NAN 0x01 97 #define FP_NORMAL 0x02 98 #define FP_SUBNORMAL 0x03 99 #define FP_ZERO 0x04 100 /* NetBSD extensions */ 101 #define _FP_LOMD 0x80 /* range for machine-specific classes */ 102 #define _FP_HIMD 0xff 103 104 #endif /* !_ANSI_SOURCE && ... */ 105 106 /* 107 * XOPEN/SVID 108 */ 109 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 110 #define M_E 2.7182818284590452354 /* e */ 111 #define M_LOG2E 1.4426950408889634074 /* log 2e */ 112 #define M_LOG10E 0.43429448190325182765 /* log 10e */ 113 #define M_LN2 0.69314718055994530942 /* log e2 */ 114 #define M_LN10 2.30258509299404568402 /* log e10 */ 115 #define M_PI 3.14159265358979323846 /* pi */ 116 #define M_PI_2 1.57079632679489661923 /* pi/2 */ 117 #define M_PI_4 0.78539816339744830962 /* pi/4 */ 118 #define M_1_PI 0.31830988618379067154 /* 1/pi */ 119 #define M_2_PI 0.63661977236758134308 /* 2/pi */ 120 #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ 121 #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ 122 #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ 123 124 #define MAXFLOAT ((float)3.40282346638528860e+38) 125 extern int signgam; 126 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 127 128 #if defined(_NETBSD_SOURCE) 129 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix}; 130 131 #define _LIB_VERSION_TYPE enum fdversion 132 #define _LIB_VERSION _fdlib_version 133 134 /* if global variable _LIB_VERSION is not desirable, one may 135 * change the following to be a constant by: 136 * #define _LIB_VERSION_TYPE const enum version 137 * In that case, after one initializes the value _LIB_VERSION (see 138 * s_lib_version.c) during compile time, it cannot be modified 139 * in the middle of a program 140 */ 141 extern _LIB_VERSION_TYPE _LIB_VERSION; 142 143 #define _IEEE_ fdlibm_ieee 144 #define _SVID_ fdlibm_svid 145 #define _XOPEN_ fdlibm_xopen 146 #define _POSIX_ fdlibm_posix 147 148 #ifndef __cplusplus 149 struct exception { 150 int type; 151 char *name; 152 double arg1; 153 double arg2; 154 double retval; 155 }; 156 #endif 157 158 #define HUGE MAXFLOAT 159 160 /* 161 * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> 162 * (one may replace the following line by "#include <values.h>") 163 */ 164 165 #define X_TLOSS 1.41484755040568800000e+16 166 167 #define DOMAIN 1 168 #define SING 2 169 #define OVERFLOW 3 170 #define UNDERFLOW 4 171 #define TLOSS 5 172 #define PLOSS 6 173 174 #endif /* _NETBSD_SOURCE */ 175 176 __BEGIN_DECLS 177 /* 178 * ANSI/POSIX 179 */ 180 double acos(double); 181 double asin(double); 182 double atan(double); 183 double atan2(double, double); 184 double cos(double); 185 double sin(double); 186 double tan(double); 187 188 double cosh(double); 189 double sinh(double); 190 double tanh(double); 191 192 double exp(double); 193 double frexp(double, int *); 194 double ldexp(double, int); 195 double log(double); 196 double log2(double); 197 double log10(double); 198 double modf(double, double *); 199 200 double pow(double, double); 201 double sqrt(double); 202 203 double ceil(double); 204 double fabs(double); 205 double floor(double); 206 double fmod(double, double); 207 208 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 209 double erf(double); 210 double erfc(double); 211 double gamma(double); 212 double hypot(double, double); 213 int finite(double); 214 double j0(double); 215 double j1(double); 216 double jn(int, double); 217 double lgamma(double); 218 double y0(double); 219 double y1(double); 220 double yn(int, double); 221 222 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 223 double acosh(double); 224 double asinh(double); 225 double atanh(double); 226 double cbrt(double); 227 double expm1(double); 228 int ilogb(double); 229 double log1p(double); 230 double logb(double); 231 double nextafter(double, double); 232 double remainder(double, double); 233 double rint(double); 234 double scalb(double, double); 235 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 236 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 237 238 /* 239 * ISO C99 240 */ 241 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 242 !defined(_XOPEN_SOURCE) || \ 243 ((__STDC_VERSION__ - 0) >= 199901L) || \ 244 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 245 ((_XOPEN_SOURCE - 0) >= 600) || \ 246 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 247 /* 7.12.3.1 int fpclassify(real-floating x) */ 248 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 249 250 /* 7.12.3.2 int isfinite(real-floating x) */ 251 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 252 253 /* 7.12.3.5 int isnormal(real-floating x) */ 254 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 255 256 /* 7.12.3.6 int signbit(real-floating x) */ 257 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 258 259 /* 7.12.4 trigonometric */ 260 261 float acosf(float); 262 float asinf(float); 263 float atanf(float); 264 float atan2f(float, float); 265 float cosf(float); 266 float sinf(float); 267 float tanf(float); 268 269 /* 7.12.5 hyperbolic */ 270 271 float acoshf(float); 272 float asinhf(float); 273 float atanhf(float); 274 float coshf(float); 275 float sinhf(float); 276 float tanhf(float); 277 278 /* 7.12.6 exp / log */ 279 280 float expf(float); 281 float expm1f(float); 282 float frexpf(float, int *); 283 int ilogbf(float); 284 float ldexpf(float, int); 285 float logf(float); 286 float log2f(float); 287 float log10f(float); 288 float log1pf(float); 289 float logbf(float); 290 float modff(float, float *); 291 float scalbnf(float, int); 292 293 /* 7.12.7 power / absolute */ 294 295 float cbrtf(float); 296 float fabsf(float); 297 float hypotf(float, float); 298 float powf(float, float); 299 float sqrtf(float); 300 301 /* 7.12.8 error / gamma */ 302 303 float erff(float); 304 float erfcf(float); 305 float lgammaf(float); 306 307 /* 7.12.9 nearest integer */ 308 309 float ceilf(float); 310 float floorf(float); 311 float rintf(float); 312 double round(double); 313 float roundf(float); 314 long int lrint(double); 315 long int lrintf(float); 316 /* LONGLONG */ 317 long long int llrint(double); 318 /* LONGLONG */ 319 long long int llrintf(float); 320 long int lround(double); 321 long int lroundf(float); 322 /* LONGLONG */ 323 long long int llround(double); 324 /* LONGLONG */ 325 long long int llroundf(float); 326 327 /* 7.12.10 remainder */ 328 329 float fmodf(float, float); 330 float remainderf(float, float); 331 332 /* 7.2.11 manipulation */ 333 334 float copysignf(float, float); 335 double nan(const char *); 336 float nanf(const char *); 337 long double nanl(const char *); 338 float nextafterf(float, float); 339 340 341 #endif /* !_ANSI_SOURCE && ... */ 342 343 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 344 !defined(_XOPEN_SOURCE) || \ 345 ((__STDC_VERSION__ - 0) >= 199901L) || \ 346 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 347 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 348 /* 7.12.3.3 int isinf(real-floating x) */ 349 #ifdef __isinf 350 #define isinf(__x) __isinf(__x) 351 #else 352 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 353 #endif 354 355 /* 7.12.3.4 int isnan(real-floating x) */ 356 #ifdef __isnan 357 #define isnan(__x) __isnan(__x) 358 #else 359 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 360 #endif 361 #endif /* !_ANSI_SOURCE && ... */ 362 363 #if defined(_NETBSD_SOURCE) 364 #ifndef __cplusplus 365 int matherr(struct exception *); 366 #endif 367 368 /* 369 * IEEE Test Vector 370 */ 371 double significand(double); 372 373 /* 374 * Functions callable from C, intended to support IEEE arithmetic. 375 */ 376 double copysign(double, double); 377 double scalbn(double, int); 378 379 /* 380 * BSD math library entry points 381 */ 382 #ifndef __MATH_PRIVATE__ 383 double cabs(/* struct complex { double r; double i; } */); 384 #endif 385 double drem(double, double); 386 387 #endif /* _NETBSD_SOURCE */ 388 389 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 390 /* 391 * Reentrant version of gamma & lgamma; passes signgam back by reference 392 * as the second argument; user must allocate space for signgam. 393 */ 394 double gamma_r(double, int *); 395 double lgamma_r(double, int *); 396 #endif /* _NETBSD_SOURCE || _REENTRANT */ 397 398 399 #if defined(_NETBSD_SOURCE) 400 401 /* float versions of ANSI/POSIX functions */ 402 403 float gammaf(float); 404 int isinff(float); 405 int isnanf(float); 406 int finitef(float); 407 float j0f(float); 408 float j1f(float); 409 float jnf(int, float); 410 float y0f(float); 411 float y1f(float); 412 float ynf(int, float); 413 414 float scalbf(float, float); 415 416 /* 417 * float version of IEEE Test Vector 418 */ 419 float significandf(float); 420 421 /* 422 * float versions of BSD math library entry points 423 */ 424 #ifndef __MATH_PRIVATE__ 425 float cabsf(/* struct complex { float r; float i; } */); 426 #endif 427 float dremf(float, float); 428 #endif /* _NETBSD_SOURCE */ 429 430 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 431 /* 432 * Float versions of reentrant version of gamma & lgamma; passes 433 * signgam back by reference as the second argument; user must 434 * allocate space for signgam. 435 */ 436 float gammaf_r(float, int *); 437 float lgammaf_r(float, int *); 438 #endif /* !... || _REENTRANT */ 439 440 /* 441 * Library implementation 442 */ 443 int __fpclassifyf(float); 444 int __fpclassifyd(double); 445 int __isfinitef(float); 446 int __isfinited(double); 447 int __isinff(float); 448 int __isinfd(double); 449 int __isnanf(float); 450 int __isnand(double); 451 int __signbitf(float); 452 int __signbitd(double); 453 454 #ifdef __HAVE_LONG_DOUBLE 455 int __fpclassifyl(long double); 456 int __isfinitel(long double); 457 int __isinfl(long double); 458 int __isnanl(long double); 459 int __signbitl(long double); 460 #endif 461 __END_DECLS 462 463 #endif /* _MATH_H_ */ 464
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