| Commit | Line | Data |
|---|---|---|
| b34b60bc JS |
1 | /* |
| 2 | * ==================================================== | |
| 3 | * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. | |
| 4 | * | |
| 5 | * Developed at SunPro, a Sun Microsystems, Inc. business. | |
| 6 | * Permission to use, copy, modify, and distribute this | |
| 7 | * software is freely granted, provided that this notice | |
| 8 | * is preserved. | |
| 9 | * ==================================================== | |
| 10 | * | |
| 18e9dc33 PA |
11 | * $NetBSD: math.h,v 1.46 2007/02/22 22:08:19 drochner Exp $ |
| 12 | * $DragonFly: src/include/math.h,v 1.12 2007/06/17 18:00:08 pavalos Exp $ | |
| b34b60bc JS |
13 | */ |
| 14 | ||
| 15 | /* | |
| 16 | * @(#)fdlibm.h 5.1 93/09/24 | |
| 17 | */ | |
| 18 | ||
| 19 | #ifndef _MATH_H_ | |
| 20 | #define _MATH_H_ | |
| 21 | ||
| 22 | #include <sys/cdefs.h> | |
| 23 | ||
| 1ce93220 JS |
24 | #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) |
| 25 | #define __MATH_BUILTIN_CONSTANTS | |
| 26 | #endif | |
| 27 | ||
| 28 | #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) | |
| 29 | #define __MATH_BUILTIN_RELOPS | |
| 30 | #endif | |
| 31 | ||
| b34b60bc JS |
32 | union __float_u { |
| 33 | unsigned char __dummy[sizeof(float)]; | |
| 34 | float __val; | |
| 35 | }; | |
| 36 | ||
| 37 | union __double_u { | |
| 38 | unsigned char __dummy[sizeof(double)]; | |
| 39 | double __val; | |
| 40 | }; | |
| 41 | ||
| 42 | union __long_double_u { | |
| 43 | unsigned char __dummy[sizeof(long double)]; | |
| 44 | long double __val; | |
| 45 | }; | |
| 46 | ||
| 47 | #include <machine/math.h> | |
| 48 | ||
| 49 | #ifdef __HAVE_LONG_DOUBLE | |
| 50 | #define __fpmacro_unary_floating(__name, __arg0) \ | |
| 51 | /* LINTED */ \ | |
| 52 | ((sizeof (__arg0) == sizeof (float)) \ | |
| 53 | ? __ ## __name ## f (__arg0) \ | |
| 54 | : (sizeof (__arg0) == sizeof (double)) \ | |
| 55 | ? __ ## __name ## d (__arg0) \ | |
| 56 | : __ ## __name ## l (__arg0)) | |
| 57 | #else | |
| 58 | #define __fpmacro_unary_floating(__name, __arg0) \ | |
| 59 | /* LINTED */ \ | |
| 60 | ((sizeof (__arg0) == sizeof (float)) \ | |
| 61 | ? __ ## __name ## f (__arg0) \ | |
| 62 | : __ ## __name ## d (__arg0)) | |
| 63 | #endif /* __HAVE_LONG_DOUBLE */ | |
| 64 | ||
| 65 | /* | |
| 66 | * ANSI/POSIX | |
| 67 | */ | |
| 68 | /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ | |
| 18e9dc33 | 69 | extern const union __double_u __infinity; |
| 1ce93220 JS |
70 | #ifdef __MATH_BUILTIN_CONSTANTS |
| 71 | #define HUGE_VAL __builtin_huge_val() | |
| 72 | #else | |
| 73 | #define HUGE_VAL __infinity.__val | |
| 74 | #endif | |
| b34b60bc JS |
75 | |
| 76 | /* | |
| 77 | * ISO C99 | |
| 78 | */ | |
| 79 | #if __ISO_C_VISIBLE >= 1999 | |
| 80 | /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */ | |
| 18e9dc33 | 81 | extern const union __float_u __infinityf; |
| 1ce93220 JS |
82 | #ifdef __MATH_BUILTIN_CONSTANTS |
| 83 | #define HUGE_VALF __builtin_huge_valf() | |
| 84 | #else | |
| b34b60bc | 85 | #define HUGE_VALF __infinityf.__val |
| 1ce93220 | 86 | #endif |
| b34b60bc | 87 | |
| 18e9dc33 | 88 | extern const union __long_double_u __infinityl; |
| b34b60bc JS |
89 | #define HUGE_VALL __infinityl.__val |
| 90 | ||
| 91 | /* 7.12#4 INFINITY */ | |
| 1ce93220 | 92 | #ifdef __MATH_BUILTIN_CONSTANTS |
| f2be1b3f | 93 | #define INFINITY __builtin_inf() |
| 1ce93220 | 94 | #elif defined(__INFINITY) |
| b34b60bc JS |
95 | #define INFINITY __INFINITY /* float constant which overflows */ |
| 96 | #else | |
| 97 | #define INFINITY HUGE_VALF /* positive infinity */ | |
| 98 | #endif /* __INFINITY */ | |
| 99 | ||
| 100 | /* 7.12#5 NAN: a quiet NaN, if supported */ | |
| 1ce93220 JS |
101 | #ifdef __MATH_BUILTIN_CONSTANTS |
| 102 | #define NAN __builtin_nan("") | |
| 103 | #elif defined(__HAVE_NANF) | |
| 18e9dc33 | 104 | extern const union __float_u __nanf; |
| b34b60bc JS |
105 | #define NAN __nanf.__val |
| 106 | #endif /* __HAVE_NANF */ | |
| 107 | ||
| 108 | /* 7.12#6 number classification macros */ | |
| 109 | #define FP_INFINITE 0x00 | |
| 110 | #define FP_NAN 0x01 | |
| 111 | #define FP_NORMAL 0x02 | |
| 112 | #define FP_SUBNORMAL 0x03 | |
| 113 | #define FP_ZERO 0x04 | |
| 114 | /* NetBSD extensions */ | |
| 115 | #define _FP_LOMD 0x80 /* range for machine-specific classes */ | |
| 116 | #define _FP_HIMD 0xff | |
| 117 | ||
| 118 | #endif /* ISO C99 */ | |
| 119 | ||
| 120 | /* | |
| 121 | * XOPEN/SVID | |
| 122 | */ | |
| 123 | #if __XSI_VISIBLE > 0 | |
| 124 | #define M_E 2.7182818284590452354 /* e */ | |
| 125 | #define M_LOG2E 1.4426950408889634074 /* log 2e */ | |
| 126 | #define M_LOG10E 0.43429448190325182765 /* log 10e */ | |
| 127 | #define M_LN2 0.69314718055994530942 /* log e2 */ | |
| 128 | #define M_LN10 2.30258509299404568402 /* log e10 */ | |
| 129 | #define M_PI 3.14159265358979323846 /* pi */ | |
| 130 | #define M_PI_2 1.57079632679489661923 /* pi/2 */ | |
| 131 | #define M_PI_4 0.78539816339744830962 /* pi/4 */ | |
| 132 | #define M_1_PI 0.31830988618379067154 /* 1/pi */ | |
| 133 | #define M_2_PI 0.63661977236758134308 /* 2/pi */ | |
| 134 | #define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ | |
| 135 | #define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ | |
| 136 | #define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ | |
| 137 | ||
| 138 | #define MAXFLOAT ((float)3.40282346638528860e+38) | |
| 139 | extern int signgam; | |
| 140 | #endif /* _XSI_VISIBLE */ | |
| 141 | ||
| 142 | #if __DF_VISIBLE | |
| 143 | #define HUGE MAXFLOAT | |
| 144 | ||
| 145 | /* | |
| 146 | * set X_TLOSS = pi*2**52, which is possibly defined in <values.h> | |
| 147 | * (one may replace the following line by "#include <values.h>") | |
| 148 | */ | |
| 149 | ||
| 150 | #define X_TLOSS 1.41484755040568800000e+16 | |
| 151 | ||
| 152 | #define DOMAIN 1 | |
| 153 | #define SING 2 | |
| 154 | #define OVERFLOW 3 | |
| 155 | #define UNDERFLOW 4 | |
| 156 | #define TLOSS 5 | |
| 157 | #define PLOSS 6 | |
| 158 | ||
| 159 | #endif /* __DF_VISIBLE */ | |
| 160 | ||
| 161 | __BEGIN_DECLS | |
| 162 | /* | |
| 163 | * ANSI/POSIX | |
| 164 | */ | |
| 165 | double acos(double); | |
| 166 | double asin(double); | |
| 167 | double atan(double); | |
| 168 | double atan2(double, double); | |
| 169 | double cos(double); | |
| 170 | double sin(double); | |
| 171 | double tan(double); | |
| 172 | ||
| 173 | double cosh(double); | |
| 174 | double sinh(double); | |
| 175 | double tanh(double); | |
| 176 | ||
| 177 | double exp(double); | |
| 178 | double frexp(double, int *); | |
| 179 | double ldexp(double, int); | |
| 180 | double log(double); | |
| 54f91c64 | 181 | double log2(double); |
| b34b60bc JS |
182 | double log10(double); |
| 183 | double modf(double, double *); | |
| 184 | ||
| 185 | double pow(double, double); | |
| 186 | double sqrt(double); | |
| 187 | ||
| 188 | double ceil(double); | |
| 189 | double fabs(double); | |
| 190 | double floor(double); | |
| 191 | double fmod(double, double); | |
| 192 | ||
| 193 | #if __XSI_VISIBLE > 0 | |
| 194 | double erf(double); | |
| 195 | double erfc(double); | |
| 196 | double gamma(double); | |
| 197 | double hypot(double, double); | |
| 198 | int finite(double); | |
| 199 | double j0(double); | |
| 200 | double j1(double); | |
| 201 | double jn(int, double); | |
| 202 | double lgamma(double); | |
| 203 | double y0(double); | |
| 204 | double y1(double); | |
| 205 | double yn(int, double); | |
| 206 | #endif /* __XSI_VISIBLE */ | |
| 207 | ||
| 208 | #if __XSI_VISIBLE >= 500 | |
| 209 | double acosh(double); | |
| 210 | double asinh(double); | |
| 211 | double atanh(double); | |
| 212 | double cbrt(double); | |
| 213 | double expm1(double); | |
| 214 | int ilogb(double); | |
| 215 | double log1p(double); | |
| 216 | double logb(double); | |
| 217 | double nextafter(double, double); | |
| 218 | double remainder(double, double); | |
| 219 | double rint(double); | |
| 220 | double scalb(double, double); | |
| 221 | #endif /* __XSI_VISIBLE >= 500 */ | |
| 222 | ||
| 223 | /* | |
| 224 | * ISO C99 | |
| 225 | */ | |
| 226 | #if __ISO_C_VISIBLE >= 1999 | |
| 227 | /* 7.12.3.1 int fpclassify(real-floating x) */ | |
| 228 | #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x) | |
| 229 | ||
| 230 | /* 7.12.3.2 int isfinite(real-floating x) */ | |
| 231 | #define isfinite(__x) __fpmacro_unary_floating(isfinite, __x) | |
| 232 | ||
| 233 | /* 7.12.3.5 int isnormal(real-floating x) */ | |
| 234 | #define isnormal(__x) (fpclassify(__x) == FP_NORMAL) | |
| 235 | ||
| 236 | /* 7.12.3.6 int signbit(real-floating x) */ | |
| 237 | #define signbit(__x) __fpmacro_unary_floating(signbit, __x) | |
| 238 | ||
| 239 | /* 7.12.4 trigonometric */ | |
| 240 | ||
| 241 | float acosf(float); | |
| 242 | float asinf(float); | |
| 243 | float atanf(float); | |
| 244 | float atan2f(float, float); | |
| 245 | float cosf(float); | |
| 246 | float sinf(float); | |
| 247 | float tanf(float); | |
| 248 | ||
| 249 | /* 7.12.5 hyperbolic */ | |
| 250 | ||
| 251 | float acoshf(float); | |
| 252 | float asinhf(float); | |
| 253 | float atanhf(float); | |
| 254 | float coshf(float); | |
| 255 | float sinhf(float); | |
| 256 | float tanhf(float); | |
| 257 | ||
| 258 | /* 7.12.6 exp / log */ | |
| 259 | ||
| 260 | float expf(float); | |
| 261 | float expm1f(float); | |
| 262 | float frexpf(float, int *); | |
| 037fad31 | 263 | long double frexpl(long double, int *); |
| b34b60bc JS |
264 | int ilogbf(float); |
| 265 | float ldexpf(float, int); | |
| 266 | float logf(float); | |
| 54f91c64 | 267 | float log2f(float); |
| b34b60bc JS |
268 | float log10f(float); |
| 269 | float log1pf(float); | |
| 270 | float logbf(float); | |
| 271 | float modff(float, float *); | |
| 272 | float scalbnf(float, int); | |
| 273 | ||
| 274 | /* 7.12.7 power / absolute */ | |
| 275 | ||
| 276 | float cbrtf(float); | |
| 277 | float fabsf(float); | |
| 278 | float hypotf(float, float); | |
| 279 | float powf(float, float); | |
| 280 | float sqrtf(float); | |
| 281 | ||
| 282 | /* 7.12.8 error / gamma */ | |
| 283 | ||
| 284 | float erff(float); | |
| 285 | float erfcf(float); | |
| 286 | float lgammaf(float); | |
| 287 | ||
| 288 | /* 7.12.9 nearest integer */ | |
| 289 | ||
| 290 | float ceilf(float); | |
| 291 | float floorf(float); | |
| 292 | float rintf(float); | |
| 293 | double round(double); | |
| 294 | float roundf(float); | |
| d0090fae PA |
295 | double trunc(double); |
| 296 | float truncf(float); | |
| b34b60bc JS |
297 | long int lrint(double); |
| 298 | long int lrintf(float); | |
| 299 | /* LONGLONG */ | |
| 300 | long long int llrint(double); | |
| 301 | /* LONGLONG */ | |
| 302 | long long int llrintf(float); | |
| 303 | long int lround(double); | |
| 304 | long int lroundf(float); | |
| 305 | /* LONGLONG */ | |
| 306 | long long int llround(double); | |
| 307 | /* LONGLONG */ | |
| 308 | long long int llroundf(float); | |
| 309 | ||
| 310 | /* 7.12.10 remainder */ | |
| 311 | ||
| 312 | float fmodf(float, float); | |
| 313 | float remainderf(float, float); | |
| 314 | ||
| 18e9dc33 | 315 | /* 7.12.11 manipulation */ |
| b34b60bc JS |
316 | |
| 317 | float copysignf(float, float); | |
| e2519c07 PA |
318 | double nan(const char *); |
| 319 | float nanf(const char *); | |
| 320 | long double nanl(const char *); | |
| b34b60bc JS |
321 | float nextafterf(float, float); |
| 322 | ||
| 00d61692 | 323 | /* 7.12.12 maximum, minimum, positive difference */ |
| 56a964a0 SK |
324 | double fdim(double, double); |
| 325 | float fdimf(float, float); | |
| 326 | long double fdiml(long double, long double); | |
| 327 | ||
| 00d61692 SK |
328 | double fmax(double, double); |
| 329 | float fmaxf(float, float); | |
| 330 | long double fmaxl(long double, long double); | |
| 331 | ||
| 332 | double fmin(double, double); | |
| 333 | float fminf(float, float); | |
| 334 | long double fminl(long double, long double); | |
| 335 | ||
| b34b60bc JS |
336 | #endif /* __ISO_C_VISIBLE >= 1999 */ |
| 337 | ||
| 338 | #if __ISO_C_VISIBLE >= 1999 | |
| 339 | /* 7.12.3.3 int isinf(real-floating x) */ | |
| 340 | #ifdef __isinf | |
| 341 | #define isinf(__x) __isinf(__x) | |
| 342 | #else | |
| 343 | #define isinf(__x) __fpmacro_unary_floating(isinf, __x) | |
| 344 | #endif | |
| 345 | ||
| 346 | /* 7.12.3.4 int isnan(real-floating x) */ | |
| 347 | #ifdef __isnan | |
| 348 | #define isnan(__x) __isnan(__x) | |
| 349 | #else | |
| 350 | #define isnan(__x) __fpmacro_unary_floating(isnan, __x) | |
| 351 | #endif | |
| 1ce93220 JS |
352 | |
| 353 | /* 7.12.14 Comparision macros */ | |
| 354 | #ifdef __MATH_BUILTIN_RELOPS | |
| 355 | #define isgreater(x, y) __builtin_isgreater((x), (y)) | |
| 356 | #define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) | |
| 357 | #define isless(x, y) __builtin_isless((x), (y)) | |
| 358 | #define islessequal(x, y) __builtin_islessequal((x), (y)) | |
| 359 | #define islessgreater(x, y) __builtin_islessgreater((x), (y)) | |
| 360 | #define isunordered(x, y) __builtin_isunordered((x), (y)) | |
| 361 | #else | |
| 362 | #define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) | |
| 363 | #define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) | |
| 364 | #define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) | |
| 365 | #define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) | |
| 366 | #define islessgreater(x, y) (!isunordered((x), (y)) && \ | |
| 367 | ((x) > (y) || (y) > (x))) | |
| 368 | #define isunordered(x, y) (isnan(x) || isnan(y)) | |
| 369 | #endif /* __MATH_BUILTIN_RELOPS */ | |
| 370 | ||
| b34b60bc JS |
371 | #endif /* __ISO_C_VISIBLE >= 1999 */ |
| 372 | ||
| 373 | #if __DF_VISIBLE | |
| 374 | /* | |
| 375 | * IEEE Test Vector | |
| 376 | */ | |
| 377 | double significand(double); | |
| 378 | ||
| 379 | /* | |
| 380 | * Functions callable from C, intended to support IEEE arithmetic. | |
| 381 | */ | |
| 382 | double copysign(double, double); | |
| 383 | double scalbn(double, int); | |
| 384 | ||
| 385 | /* | |
| 386 | * BSD math library entry points | |
| 387 | */ | |
| 388 | double drem(double, double); | |
| 389 | ||
| 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 /* __DF_VISIBLE */ | |
| 397 | ||
| 398 | ||
| 399 | #if __DF_VISIBLE | |
| 400 | ||
| 401 | /* float versions of ANSI/POSIX functions */ | |
| 402 | ||
| 403 | float gammaf(float); | |
| b34b60bc JS |
404 | int finitef(float); |
| 405 | float j0f(float); | |
| 406 | float j1f(float); | |
| 407 | float jnf(int, float); | |
| 408 | float y0f(float); | |
| 409 | float y1f(float); | |
| 410 | float ynf(int, float); | |
| 411 | ||
| 412 | float scalbf(float, float); | |
| 413 | ||
| 414 | /* | |
| 415 | * float version of IEEE Test Vector | |
| 416 | */ | |
| 417 | float significandf(float); | |
| 418 | ||
| 419 | /* | |
| 420 | * float versions of BSD math library entry points | |
| 421 | */ | |
| 422 | float dremf(float, float); | |
| 423 | ||
| 424 | /* | |
| 425 | * Float versions of reentrant version of gamma & lgamma; passes | |
| 426 | * signgam back by reference as the second argument; user must | |
| 427 | * allocate space for signgam. | |
| 428 | */ | |
| 429 | float gammaf_r(float, int *); | |
| 430 | float lgammaf_r(float, int *); | |
| 431 | #endif /* __DF_VISIBLE */ | |
| 432 | ||
| 433 | /* | |
| 434 | * Library implementation | |
| 435 | */ | |
| 436 | int __fpclassifyf(float); | |
| 437 | int __fpclassifyd(double); | |
| 438 | int __isfinitef(float); | |
| 439 | int __isfinited(double); | |
| 440 | int __isinff(float); | |
| 441 | int __isinfd(double); | |
| 442 | int __isnanf(float); | |
| 443 | int __isnand(double); | |
| 444 | int __signbitf(float); | |
| 445 | int __signbitd(double); | |
| 446 | ||
| 447 | #ifdef __HAVE_LONG_DOUBLE | |
| 448 | int __fpclassifyl(long double); | |
| 449 | int __isfinitel(long double); | |
| 450 | int __isinfl(long double); | |
| 451 | int __isnanl(long double); | |
| 452 | int __signbitl(long double); | |
| 453 | #endif | |
| 454 | __END_DECLS | |
| 455 | ||
| 456 | #endif /* _MATH_H_ */ |