math.h revision 1.39
1 /* $NetBSD: math.h,v 1.39 2004/07/12 23:44:52 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 __P((double)); 181 double asin __P((double)); 182 double atan __P((double)); 183 double atan2 __P((double, double)); 184 double cos __P((double)); 185 double sin __P((double)); 186 double tan __P((double)); 187 188 double cosh __P((double)); 189 double sinh __P((double)); 190 double tanh __P((double)); 191 192 double exp __P((double)); 193 double frexp __P((double, int *)); 194 double ldexp __P((double, int)); 195 double log __P((double)); 196 double log10 __P((double)); 197 double modf __P((double, double *)); 198 199 double pow __P((double, double)); 200 double sqrt __P((double)); 201 202 double ceil __P((double)); 203 double fabs __P((double)); 204 double floor __P((double)); 205 double fmod __P((double, double)); 206 207 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 208 double erf __P((double)); 209 double erfc __P((double)); 210 double gamma __P((double)); 211 double hypot __P((double, double)); 212 int finite __P((double)); 213 double j0 __P((double)); 214 double j1 __P((double)); 215 double jn __P((int, double)); 216 double lgamma __P((double)); 217 double y0 __P((double)); 218 double y1 __P((double)); 219 double yn __P((int, double)); 220 221 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 222 double acosh __P((double)); 223 double asinh __P((double)); 224 double atanh __P((double)); 225 double cbrt __P((double)); 226 double expm1 __P((double)); 227 int ilogb __P((double)); 228 double log1p __P((double)); 229 double logb __P((double)); 230 double nextafter __P((double, double)); 231 double remainder __P((double, double)); 232 double rint __P((double)); 233 double scalb __P((double, double)); 234 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/ 235 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */ 236 237 /* 238 * ISO C99 239 */ 240 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \ 241 !defined(_XOPEN_SOURCE) || \ 242 ((__STDC_VERSION__ - 0) >= 199901L) || \ 243 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 244 ((_XOPEN_SOURCE - 0) >= 600) || \ 245 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 246 /* 7.12.3.1 int fpclassify(real-floating x) */ 247 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) 248 249 /* 7.12.3.2 int isfinite(real-floating x) */ 250 #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) 251 252 /* 7.12.3.5 int isnormal(real-floating x) */ 253 #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) 254 255 /* 7.12.3.6 int signbit(real-floating x) */ 256 #define signbit(__x) __fpmacro_unary_floating(signbit, __x) 257 258 /* 7.12.4 trigonometric */ 259 260 float acosf __P((float)); 261 float asinf __P((float)); 262 float atanf __P((float)); 263 float atan2f __P((float, float)); 264 float cosf __P((float)); 265 float sinf __P((float)); 266 float tanf __P((float)); 267 268 /* 7.12.5 hyperbolic */ 269 270 float acoshf __P((float)); 271 float asinhf __P((float)); 272 float atanhf __P((float)); 273 float coshf __P((float)); 274 float sinhf __P((float)); 275 float tanhf __P((float)); 276 277 /* 7.12.6 exp / log */ 278 279 float expf __P((float)); 280 float expm1f __P((float)); 281 float frexpf __P((float, int *)); 282 int ilogbf __P((float)); 283 float ldexpf __P((float, int)); 284 float logf __P((float)); 285 float log10f __P((float)); 286 float log1pf __P((float)); 287 float logbf __P((float)); 288 float modff __P((float, float *)); 289 float scalbnf __P((float, int)); 290 291 /* 7.12.7 power / absolute */ 292 293 float cbrtf __P((float)); 294 float fabsf __P((float)); 295 float hypotf __P((float, float)); 296 float powf __P((float, float)); 297 float sqrtf __P((float)); 298 299 /* 7.12.8 error / gamma */ 300 301 float erff __P((float)); 302 float erfcf __P((float)); 303 float lgammaf __P((float)); 304 305 /* 7.12.9 nearest integer */ 306 307 float ceilf __P((float)); 308 float floorf __P((float)); 309 float rintf __P((float)); 310 double round __P((double)); 311 float roundf __P((float)); 312 long int lrint __P((double)); 313 long int lrintf __P((float)); 314 /* LONGLONG */ 315 long long int llrint __P((double)); 316 /* LONGLONG */ 317 long long int llrintf __P((float)); 318 long int lround __P((double)); 319 long int lroundf __P((float)); 320 /* LONGLONG */ 321 long long int llround __P((double)); 322 /* LONGLONG */ 323 long long int llroundf __P((float)); 324 325 /* 7.12.10 remainder */ 326 327 float fmodf __P((float, float)); 328 float remainderf __P((float, float)); 329 330 /* 7.2.11 manipulation */ 331 332 float copysignf __P((float, float)); 333 float nextafterf __P((float, float)); 334 335 336 #endif /* !_ANSI_SOURCE && ... */ 337 338 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \ 339 !defined(_XOPEN_SOURCE) || \ 340 ((__STDC_VERSION__ - 0) >= 199901L) || \ 341 ((_POSIX_C_SOURCE - 0) >= 200112L) || \ 342 defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE) 343 /* 7.12.3.3 int isinf(real-floating x) */ 344 #ifdef __isinf 345 #define isinf(__x) __isinf(__x) 346 #else 347 #define isinf(__x) __fpmacro_unary_floating(isinf, __x) 348 #endif 349 350 /* 7.12.3.4 int isnan(real-floating x) */ 351 #ifdef __isnan 352 #define isnan(__x) __isnan(__x) 353 #else 354 #define isnan(__x) __fpmacro_unary_floating(isnan, __x) 355 #endif 356 #endif /* !_ANSI_SOURCE && ... */ 357 358 #if defined(_NETBSD_SOURCE) 359 #ifndef __cplusplus 360 int matherr __P((struct exception *)); 361 #endif 362 363 /* 364 * IEEE Test Vector 365 */ 366 double significand __P((double)); 367 368 /* 369 * Functions callable from C, intended to support IEEE arithmetic. 370 */ 371 double copysign __P((double, double)); 372 double scalbn __P((double, int)); 373 374 /* 375 * BSD math library entry points 376 */ 377 #ifndef __MATH_PRIVATE__ 378 double cabs __P((/* struct complex { double r; double i; } */)); 379 #endif 380 double drem __P((double, double)); 381 382 #endif /* _NETBSD_SOURCE */ 383 384 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 385 /* 386 * Reentrant version of gamma & lgamma; passes signgam back by reference 387 * as the second argument; user must allocate space for signgam. 388 */ 389 double gamma_r __P((double, int *)); 390 double lgamma_r __P((double, int *)); 391 #endif /* _NETBSD_SOURCE || _REENTRANT */ 392 393 394 #if defined(_NETBSD_SOURCE) 395 396 /* float versions of ANSI/POSIX functions */ 397 398 float gammaf __P((float)); 399 int isinff __P((float)); 400 int isnanf __P((float)); 401 int finitef __P((float)); 402 float j0f __P((float)); 403 float j1f __P((float)); 404 float jnf __P((int, float)); 405 float y0f __P((float)); 406 float y1f __P((float)); 407 float ynf __P((int, float)); 408 409 float scalbf __P((float, float)); 410 411 /* 412 * float version of IEEE Test Vector 413 */ 414 float significandf __P((float)); 415 416 /* 417 * float versions of BSD math library entry points 418 */ 419 #ifndef __MATH_PRIVATE__ 420 float cabsf __P((/* struct complex { float r; float i; } */)); 421 #endif 422 float dremf __P((float, float)); 423 #endif /* _NETBSD_SOURCE */ 424 425 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT) 426 /* 427 * Float versions of reentrant version of gamma & lgamma; passes 428 * signgam back by reference as the second argument; user must 429 * allocate space for signgam. 430 */ 431 float gammaf_r __P((float, int *)); 432 float lgammaf_r __P((float, int *)); 433 #endif /* !... || _REENTRANT */ 434 435 /* 436 * Library implementation 437 */ 438 int __fpclassifyf __P((float)); 439 int __fpclassifyd __P((double)); 440 int __isfinitef __P((float)); 441 int __isfinited __P((double)); 442 int __isinff __P((float)); 443 int __isinfd __P((double)); 444 int __isnanf __P((float)); 445 int __isnand __P((double)); 446 int __signbitf __P((float)); 447 int __signbitd __P((double)); 448 449 #ifdef __HAVE_LONG_DOUBLE 450 int __fpclassifyl __P((long double)); 451 int __isfinitel __P((long double)); 452 int __isinfl __P((long double)); 453 int __isnanl __P((long double)); 454 int __signbitl __P((long double)); 455 #endif 456 __END_DECLS 457 458 #endif /* _MATH_H_ */ 459
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