1 /* $NetBSD: math.h,v 1.40 2005/02/03 04:39:32 perry 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 log10(double); 197 double modf(double, double *); 198 199 double pow(double, double); 200 double sqrt(double); 201 202 double ceil(double); 203 double fabs(double); 204 double floor(double); 205 double fmod(double, double); 206 207 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE) 208 double erf(double); 209 double erfc(double); 210 double gamma(double); 211 double hypot(double, double); 212 int finite(double); 213 double j0(double); 214 double j1(double); 215 double jn(int, double); 216 double lgamma(double); 217 double y0(double); 218 double y1(double); 219 double yn(int, double); 220 221 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE) 222 double acosh(double); 223 double asinh(double); 224 double atanh(double); 225 double cbrt(double); 226 double expm1(double); 227 int ilogb(double); 228 double log1p(double); 229 double logb(double); 230 double nextafter(double, double); 231 double remainder(double, double); 232 double rint(double); 233 double scalb(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(float); 261 float asinf(float); 262 float atanf(float); 263 float atan2f(float, float); 264 float cosf(float); 265 float sinf(float); 266 float tanf(float); 267 268 /* 7.12.5 hyperbolic */ 269 270 float acoshf(float); 271 float asinhf(float); 272 float atanhf(float); 273 float coshf(float); 274 float sinhf(float); 275 float tanhf(float); 276 277 /* 7.12.6 exp / log */ 278 279 float expf(float); 280 float expm1f(float); 281 float frexpf(float, int *); 282 int ilogbf(float); 283 float ldexpf(float, int); 284 float logf(float); 285 float log10f(float); 286 float log1pf(float); 287 float logbf(float); 288 float modff(float, float *); 289 float scalbnf(float, int); 290 291 /* 7.12.7 power / absolute */ 292 293 float cbrtf(float); 294 float fabsf(float); 295 float hypotf(float, float); 296 float powf(float, float); 297 float sqrtf(float); 298 299 /* 7.12.8 error / gamma */ 300 301 float erff(float); 302 float erfcf(float); 303 float lgammaf(float); 304 305 /* 7.12.9 nearest integer */ 306 307 float ceilf(float); 308 float floorf(float); 309 float rintf(float); 310 double round(double); 311 float roundf(float); 312 long int lrint(double); 313 long int lrintf(float); 314 /* LONGLONG */ 315 long long int llrint(double); 316 /* LONGLONG */ 317 long long int llrintf(float); 318 long int lround(double); 319 long int lroundf(float); 320 /* LONGLONG */ 321 long long int llround(double); 322 /* LONGLONG */ 323 long long int llroundf(float); 324 325 /* 7.12.10 remainder */ 326 327 float fmodf(float, float); 328 float remainderf(float, float); 329 330 /* 7.2.11 manipulation */ 331 332 float copysignf(float, float); 333 float nextafterf(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(struct exception *); 361 #endif 362 363 /* 364 * IEEE Test Vector 365 */ 366 double significand(double); 367 368 /* 369 * Functions callable from C, intended to support IEEE arithmetic. 370 */ 371 double copysign(double, double); 372 double scalbn(double, int); 373 374 /* 375 * BSD math library entry points 376 */ 377 #ifndef __MATH_PRIVATE__ 378 double cabs(/* struct complex { double r; double i; } */); 379 #endif 380 double drem(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(double, int *); 390 double lgamma_r(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(float); 399 int isinff(float); 400 int isnanf(float); 401 int finitef(float); 402 float j0f(float); 403 float j1f(float); 404 float jnf(int, float); 405 float y0f(float); 406 float y1f(float); 407 float ynf(int, float); 408 409 float scalbf(float, float); 410 411 /* 412 * float version of IEEE Test Vector 413 */ 414 float significandf(float); 415 416 /* 417 * float versions of BSD math library entry points 418 */ 419 #ifndef __MATH_PRIVATE__ 420 float cabsf(/* struct complex { float r; float i; } */); 421 #endif 422 float dremf(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(float, int *); 432 float lgammaf_r(float, int *); 433 #endif /* !... || _REENTRANT */ 434 435 /* 436 * Library implementation 437 */ 438 int __fpclassifyf(float); 439 int __fpclassifyd(double); 440 int __isfinitef(float); 441 int __isfinited(double); 442 int __isinff(float); 443 int __isinfd(double); 444 int __isnanf(float); 445 int __isnand(double); 446 int __signbitf(float); 447 int __signbitd(double); 448 449 #ifdef __HAVE_LONG_DOUBLE 450 int __fpclassifyl(long double); 451 int __isfinitel(long double); 452 int __isinfl(long double); 453 int __isnanl(long double); 454 int __signbitl(long double); 455 #endif 456 __END_DECLS 457 458 #endif /* _MATH_H_ */ 459