| 1 |
/* |
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* ==================================================== |
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* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. |
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* |
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* Developed at SunPro, a Sun Microsystems, Inc. business. |
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* Permission to use, copy, modify, and distribute this |
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* software is freely granted, provided that this notice |
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* is preserved. |
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* ==================================================== |
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*/ |
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|
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/* |
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* from: @(#)fdlibm.h 5.1 93/09/24 |
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* $FreeBSD$ |
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*/ |
| 16 |
|
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#ifndef _MATH_H_ |
| 18 |
#define _MATH_H_ |
| 19 |
|
| 20 |
#include <sys/cdefs.h> |
| 21 |
#include <sys/_types.h> |
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#include <machine/_limits.h> |
| 23 |
|
| 24 |
/* |
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* ANSI/POSIX |
| 26 |
*/ |
| 27 |
extern const union __infinity_un { |
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unsigned char __uc[8]; |
| 29 |
double __ud; |
| 30 |
} __infinity; |
| 31 |
|
| 32 |
extern const union __nan_un { |
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unsigned char __uc[sizeof(float)]; |
| 34 |
float __uf; |
| 35 |
} __nan; |
| 36 |
|
| 37 |
#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800) |
| 38 |
#define __MATH_BUILTIN_CONSTANTS |
| 39 |
#endif |
| 40 |
|
| 41 |
#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER) |
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#define __MATH_BUILTIN_RELOPS |
| 43 |
#endif |
| 44 |
|
| 45 |
#ifdef __MATH_BUILTIN_CONSTANTS |
| 46 |
#define HUGE_VAL __builtin_huge_val() |
| 47 |
#else |
| 48 |
#define HUGE_VAL (__infinity.__ud) |
| 49 |
#endif |
| 50 |
|
| 51 |
#if __ISO_C_VISIBLE >= 1999 |
| 52 |
#define FP_ILOGB0 (-__INT_MAX) |
| 53 |
#define FP_ILOGBNAN __INT_MAX |
| 54 |
|
| 55 |
#ifdef __MATH_BUILTIN_CONSTANTS |
| 56 |
#define HUGE_VALF __builtin_huge_valf() |
| 57 |
#define HUGE_VALL __builtin_huge_vall() |
| 58 |
#define INFINITY __builtin_inff() |
| 59 |
#define NAN __builtin_nanf("") |
| 60 |
#else |
| 61 |
#define HUGE_VALF (float)HUGE_VAL |
| 62 |
#define HUGE_VALL (long double)HUGE_VAL |
| 63 |
#define INFINITY HUGE_VALF |
| 64 |
#define NAN (__nan.__uf) |
| 65 |
#endif /* __MATH_BUILTIN_CONSTANTS */ |
| 66 |
|
| 67 |
#define MATH_ERRNO 1 |
| 68 |
#define MATH_ERREXCEPT 2 |
| 69 |
#define math_errhandling MATH_ERREXCEPT |
| 70 |
|
| 71 |
#define FP_FAST_FMAF 1 |
| 72 |
|
| 73 |
/* Symbolic constants to classify floating point numbers. */ |
| 74 |
#define FP_INFINITE 0x01 |
| 75 |
#define FP_NAN 0x02 |
| 76 |
#define FP_NORMAL 0x04 |
| 77 |
#define FP_SUBNORMAL 0x08 |
| 78 |
#define FP_ZERO 0x10 |
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|
| 80 |
#if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \ |
| 81 |
__has_extension(c_generic_selections) |
| 82 |
#define __fp_type_select(x, f, d, ld) _Generic((x), \ |
| 83 |
float: f(x), \ |
| 84 |
double: d(x), \ |
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long double: ld(x), \ |
| 86 |
volatile float: f(x), \ |
| 87 |
volatile double: d(x), \ |
| 88 |
volatile long double: ld(x), \ |
| 89 |
volatile const float: f(x), \ |
| 90 |
volatile const double: d(x), \ |
| 91 |
volatile const long double: ld(x), \ |
| 92 |
const float: f(x), \ |
| 93 |
const double: d(x), \ |
| 94 |
const long double: ld(x)) |
| 95 |
#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus) |
| 96 |
#define __fp_type_select(x, f, d, ld) __builtin_choose_expr( \ |
| 97 |
__builtin_types_compatible_p(__typeof(x), long double), ld(x), \ |
| 98 |
__builtin_choose_expr( \ |
| 99 |
__builtin_types_compatible_p(__typeof(x), double), d(x), \ |
| 100 |
__builtin_choose_expr( \ |
| 101 |
__builtin_types_compatible_p(__typeof(x), float), f(x), (void)0))) |
| 102 |
#else |
| 103 |
#define __fp_type_select(x, f, d, ld) \ |
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((sizeof(x) == sizeof(float)) ? f(x) \ |
| 105 |
: (sizeof(x) == sizeof(double)) ? d(x) \ |
| 106 |
: ld(x)) |
| 107 |
#endif |
| 108 |
|
| 109 |
#define fpclassify(x) \ |
| 110 |
__fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl) |
| 111 |
#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel) |
| 112 |
#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl) |
| 113 |
#define isnan(x) \ |
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__fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl) |
| 115 |
#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall) |
| 116 |
|
| 117 |
#ifdef __MATH_BUILTIN_RELOPS |
| 118 |
#define isgreater(x, y) __builtin_isgreater((x), (y)) |
| 119 |
#define isgreaterequal(x, y) __builtin_isgreaterequal((x), (y)) |
| 120 |
#define isless(x, y) __builtin_isless((x), (y)) |
| 121 |
#define islessequal(x, y) __builtin_islessequal((x), (y)) |
| 122 |
#define islessgreater(x, y) __builtin_islessgreater((x), (y)) |
| 123 |
#define isunordered(x, y) __builtin_isunordered((x), (y)) |
| 124 |
#else |
| 125 |
#define isgreater(x, y) (!isunordered((x), (y)) && (x) > (y)) |
| 126 |
#define isgreaterequal(x, y) (!isunordered((x), (y)) && (x) >= (y)) |
| 127 |
#define isless(x, y) (!isunordered((x), (y)) && (x) < (y)) |
| 128 |
#define islessequal(x, y) (!isunordered((x), (y)) && (x) <= (y)) |
| 129 |
#define islessgreater(x, y) (!isunordered((x), (y)) && \ |
| 130 |
((x) > (y) || (y) > (x))) |
| 131 |
#define isunordered(x, y) (isnan(x) || isnan(y)) |
| 132 |
#endif /* __MATH_BUILTIN_RELOPS */ |
| 133 |
|
| 134 |
#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl) |
| 135 |
|
| 136 |
typedef __double_t double_t; |
| 137 |
typedef __float_t float_t; |
| 138 |
#endif /* __ISO_C_VISIBLE >= 1999 */ |
| 139 |
|
| 140 |
/* |
| 141 |
* XOPEN/SVID |
| 142 |
*/ |
| 143 |
#if __BSD_VISIBLE || __XSI_VISIBLE |
| 144 |
#define M_E 2.7182818284590452354 /* e */ |
| 145 |
#define M_LOG2E 1.4426950408889634074 /* log 2e */ |
| 146 |
#define M_LOG10E 0.43429448190325182765 /* log 10e */ |
| 147 |
#define M_LN2 0.69314718055994530942 /* log e2 */ |
| 148 |
#define M_LN10 2.30258509299404568402 /* log e10 */ |
| 149 |
#define M_PI 3.14159265358979323846 /* pi */ |
| 150 |
#define M_PI_2 1.57079632679489661923 /* pi/2 */ |
| 151 |
#define M_PI_4 0.78539816339744830962 /* pi/4 */ |
| 152 |
#define M_1_PI 0.31830988618379067154 /* 1/pi */ |
| 153 |
#define M_2_PI 0.63661977236758134308 /* 2/pi */ |
| 154 |
#define M_2_SQRTPI 1.12837916709551257390 /* 2/sqrt(pi) */ |
| 155 |
#define M_SQRT2 1.41421356237309504880 /* sqrt(2) */ |
| 156 |
#define M_SQRT1_2 0.70710678118654752440 /* 1/sqrt(2) */ |
| 157 |
|
| 158 |
#define MAXFLOAT ((float)3.40282346638528860e+38) |
| 159 |
extern int signgam; |
| 160 |
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ |
| 161 |
|
| 162 |
#if __BSD_VISIBLE |
| 163 |
#if 0 |
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/* Old value from 4.4BSD-Lite math.h; this is probably better. */ |
| 165 |
#define HUGE HUGE_VAL |
| 166 |
#else |
| 167 |
#define HUGE MAXFLOAT |
| 168 |
#endif |
| 169 |
#endif /* __BSD_VISIBLE */ |
| 170 |
|
| 171 |
/* |
| 172 |
* Most of these functions depend on the rounding mode and have the side |
| 173 |
* effect of raising floating-point exceptions, so they are not declared |
| 174 |
* as __pure2. In C99, FENV_ACCESS affects the purity of these functions. |
| 175 |
*/ |
| 176 |
__BEGIN_DECLS |
| 177 |
/* |
| 178 |
* ANSI/POSIX |
| 179 |
*/ |
| 180 |
int __fpclassifyd(double) __pure2; |
| 181 |
int __fpclassifyf(float) __pure2; |
| 182 |
int __fpclassifyl(long double) __pure2; |
| 183 |
int __isfinitef(float) __pure2; |
| 184 |
int __isfinite(double) __pure2; |
| 185 |
int __isfinitel(long double) __pure2; |
| 186 |
int __isinff(float) __pure2; |
| 187 |
int __isinf(double) __pure2; |
| 188 |
int __isinfl(long double) __pure2; |
| 189 |
int __isnormalf(float) __pure2; |
| 190 |
int __isnormal(double) __pure2; |
| 191 |
int __isnormall(long double) __pure2; |
| 192 |
int __signbit(double) __pure2; |
| 193 |
int __signbitf(float) __pure2; |
| 194 |
int __signbitl(long double) __pure2; |
| 195 |
|
| 196 |
static __inline int |
| 197 |
__inline_isnan(__const double __x) |
| 198 |
{ |
| 199 |
|
| 200 |
return (__x != __x); |
| 201 |
} |
| 202 |
|
| 203 |
static __inline int |
| 204 |
__inline_isnanf(__const float __x) |
| 205 |
{ |
| 206 |
|
| 207 |
return (__x != __x); |
| 208 |
} |
| 209 |
|
| 210 |
static __inline int |
| 211 |
__inline_isnanl(__const long double __x) |
| 212 |
{ |
| 213 |
|
| 214 |
return (__x != __x); |
| 215 |
} |
| 216 |
|
| 217 |
/* |
| 218 |
* Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and |
| 219 |
* isinf() as functions taking double. C99, and the subsequent POSIX revisions |
| 220 |
* (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating |
| 221 |
* point type. If we are targeting SUSv2 and C99 or C11 (or C++11) then we |
| 222 |
* expose the newer definition, assuming that the language spec takes |
| 223 |
* precedence over the operating system interface spec. |
| 224 |
*/ |
| 225 |
#if __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999 |
| 226 |
#undef isinf |
| 227 |
#undef isnan |
| 228 |
int isinf(double); |
| 229 |
int isnan(double); |
| 230 |
#endif |
| 231 |
|
| 232 |
double acos(double); |
| 233 |
double asin(double); |
| 234 |
double atan(double); |
| 235 |
double atan2(double, double); |
| 236 |
double cos(double); |
| 237 |
double sin(double); |
| 238 |
double tan(double); |
| 239 |
|
| 240 |
double cosh(double); |
| 241 |
double sinh(double); |
| 242 |
double tanh(double); |
| 243 |
|
| 244 |
double exp(double); |
| 245 |
double frexp(double, int *); /* fundamentally !__pure2 */ |
| 246 |
double ldexp(double, int); |
| 247 |
double log(double); |
| 248 |
double log10(double); |
| 249 |
double modf(double, double *); /* fundamentally !__pure2 */ |
| 250 |
|
| 251 |
double pow(double, double); |
| 252 |
double sqrt(double); |
| 253 |
|
| 254 |
double ceil(double); |
| 255 |
double fabs(double) __pure2; |
| 256 |
double floor(double); |
| 257 |
double fmod(double, double); |
| 258 |
|
| 259 |
/* |
| 260 |
* These functions are not in C90. |
| 261 |
*/ |
| 262 |
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE |
| 263 |
double acosh(double); |
| 264 |
double asinh(double); |
| 265 |
double atanh(double); |
| 266 |
double cbrt(double); |
| 267 |
double erf(double); |
| 268 |
double erfc(double); |
| 269 |
double exp2(double); |
| 270 |
double expm1(double); |
| 271 |
double fma(double, double, double); |
| 272 |
double hypot(double, double); |
| 273 |
int ilogb(double) __pure2; |
| 274 |
double lgamma(double); |
| 275 |
long long llrint(double); |
| 276 |
long long llround(double); |
| 277 |
double log1p(double); |
| 278 |
double log2(double); |
| 279 |
double logb(double); |
| 280 |
long lrint(double); |
| 281 |
long lround(double); |
| 282 |
double nan(const char *) __pure2; |
| 283 |
double nextafter(double, double); |
| 284 |
double remainder(double, double); |
| 285 |
double remquo(double, double, int *); |
| 286 |
double rint(double); |
| 287 |
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */ |
| 288 |
|
| 289 |
#if __BSD_VISIBLE || __XSI_VISIBLE |
| 290 |
double j0(double); |
| 291 |
double j1(double); |
| 292 |
double jn(int, double); |
| 293 |
double y0(double); |
| 294 |
double y1(double); |
| 295 |
double yn(int, double); |
| 296 |
|
| 297 |
#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE |
| 298 |
double gamma(double); |
| 299 |
#endif |
| 300 |
|
| 301 |
#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE |
| 302 |
double scalb(double, double); |
| 303 |
#endif |
| 304 |
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */ |
| 305 |
|
| 306 |
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 |
| 307 |
double copysign(double, double) __pure2; |
| 308 |
double fdim(double, double); |
| 309 |
double fmax(double, double) __pure2; |
| 310 |
double fmin(double, double) __pure2; |
| 311 |
double nearbyint(double); |
| 312 |
double round(double); |
| 313 |
double scalbln(double, long); |
| 314 |
double scalbn(double, int); |
| 315 |
double tgamma(double); |
| 316 |
double trunc(double); |
| 317 |
#endif |
| 318 |
|
| 319 |
/* |
| 320 |
* BSD math library entry points |
| 321 |
*/ |
| 322 |
#if __BSD_VISIBLE |
| 323 |
double drem(double, double); |
| 324 |
int finite(double) __pure2; |
| 325 |
int isnanf(float) __pure2; |
| 326 |
|
| 327 |
/* |
| 328 |
* Reentrant version of gamma & lgamma; passes signgam back by reference |
| 329 |
* as the second argument; user must allocate space for signgam. |
| 330 |
*/ |
| 331 |
double gamma_r(double, int *); |
| 332 |
double lgamma_r(double, int *); |
| 333 |
|
| 334 |
/* |
| 335 |
* IEEE Test Vector |
| 336 |
*/ |
| 337 |
double significand(double); |
| 338 |
#endif /* __BSD_VISIBLE */ |
| 339 |
|
| 340 |
/* float versions of ANSI/POSIX functions */ |
| 341 |
#if __ISO_C_VISIBLE >= 1999 |
| 342 |
float acosf(float); |
| 343 |
float asinf(float); |
| 344 |
float atanf(float); |
| 345 |
float atan2f(float, float); |
| 346 |
float cosf(float); |
| 347 |
float sinf(float); |
| 348 |
float tanf(float); |
| 349 |
|
| 350 |
float coshf(float); |
| 351 |
float sinhf(float); |
| 352 |
float tanhf(float); |
| 353 |
|
| 354 |
float exp2f(float); |
| 355 |
float expf(float); |
| 356 |
float expm1f(float); |
| 357 |
float frexpf(float, int *); /* fundamentally !__pure2 */ |
| 358 |
int ilogbf(float) __pure2; |
| 359 |
float ldexpf(float, int); |
| 360 |
float log10f(float); |
| 361 |
float log1pf(float); |
| 362 |
float log2f(float); |
| 363 |
float logf(float); |
| 364 |
float modff(float, float *); /* fundamentally !__pure2 */ |
| 365 |
|
| 366 |
float powf(float, float); |
| 367 |
float sqrtf(float); |
| 368 |
|
| 369 |
float ceilf(float); |
| 370 |
float fabsf(float) __pure2; |
| 371 |
float floorf(float); |
| 372 |
float fmodf(float, float); |
| 373 |
float roundf(float); |
| 374 |
|
| 375 |
float erff(float); |
| 376 |
float erfcf(float); |
| 377 |
float hypotf(float, float); |
| 378 |
float lgammaf(float); |
| 379 |
float tgammaf(float); |
| 380 |
|
| 381 |
float acoshf(float); |
| 382 |
float asinhf(float); |
| 383 |
float atanhf(float); |
| 384 |
float cbrtf(float); |
| 385 |
float logbf(float); |
| 386 |
float copysignf(float, float) __pure2; |
| 387 |
long long llrintf(float); |
| 388 |
long long llroundf(float); |
| 389 |
long lrintf(float); |
| 390 |
long lroundf(float); |
| 391 |
float nanf(const char *) __pure2; |
| 392 |
float nearbyintf(float); |
| 393 |
float nextafterf(float, float); |
| 394 |
float remainderf(float, float); |
| 395 |
float remquof(float, float, int *); |
| 396 |
float rintf(float); |
| 397 |
float scalblnf(float, long); |
| 398 |
float scalbnf(float, int); |
| 399 |
float truncf(float); |
| 400 |
|
| 401 |
float fdimf(float, float); |
| 402 |
float fmaf(float, float, float); |
| 403 |
float fmaxf(float, float) __pure2; |
| 404 |
float fminf(float, float) __pure2; |
| 405 |
#endif |
| 406 |
|
| 407 |
/* |
| 408 |
* float versions of BSD math library entry points |
| 409 |
*/ |
| 410 |
#if __BSD_VISIBLE |
| 411 |
float dremf(float, float); |
| 412 |
int finitef(float) __pure2; |
| 413 |
float gammaf(float); |
| 414 |
float j0f(float); |
| 415 |
float j1f(float); |
| 416 |
float jnf(int, float); |
| 417 |
float scalbf(float, float); |
| 418 |
float y0f(float); |
| 419 |
float y1f(float); |
| 420 |
float ynf(int, float); |
| 421 |
|
| 422 |
/* |
| 423 |
* Float versions of reentrant version of gamma & lgamma; passes |
| 424 |
* signgam back by reference as the second argument; user must |
| 425 |
* allocate space for signgam. |
| 426 |
*/ |
| 427 |
float gammaf_r(float, int *); |
| 428 |
float lgammaf_r(float, int *); |
| 429 |
|
| 430 |
/* |
| 431 |
* float version of IEEE Test Vector |
| 432 |
*/ |
| 433 |
float significandf(float); |
| 434 |
#endif /* __BSD_VISIBLE */ |
| 435 |
|
| 436 |
/* |
| 437 |
* long double versions of ISO/POSIX math functions |
| 438 |
*/ |
| 439 |
#if __ISO_C_VISIBLE >= 1999 |
| 440 |
long double acoshl(long double); |
| 441 |
long double acosl(long double); |
| 442 |
long double asinhl(long double); |
| 443 |
long double asinl(long double); |
| 444 |
long double atan2l(long double, long double); |
| 445 |
long double atanhl(long double); |
| 446 |
long double atanl(long double); |
| 447 |
long double cbrtl(long double); |
| 448 |
long double ceill(long double); |
| 449 |
long double copysignl(long double, long double) __pure2; |
| 450 |
long double coshl(long double); |
| 451 |
long double cosl(long double); |
| 452 |
long double erfcl(long double); |
| 453 |
long double erfl(long double); |
| 454 |
long double exp2l(long double); |
| 455 |
long double expl(long double); |
| 456 |
long double expm1l(long double); |
| 457 |
long double fabsl(long double) __pure2; |
| 458 |
long double fdiml(long double, long double); |
| 459 |
long double floorl(long double); |
| 460 |
long double fmal(long double, long double, long double); |
| 461 |
long double fmaxl(long double, long double) __pure2; |
| 462 |
long double fminl(long double, long double) __pure2; |
| 463 |
long double fmodl(long double, long double); |
| 464 |
long double frexpl(long double value, int *); /* fundamentally !__pure2 */ |
| 465 |
long double hypotl(long double, long double); |
| 466 |
int ilogbl(long double) __pure2; |
| 467 |
long double ldexpl(long double, int); |
| 468 |
long double lgammal(long double); |
| 469 |
long long llrintl(long double); |
| 470 |
long long llroundl(long double); |
| 471 |
long double log10l(long double); |
| 472 |
long double log1pl(long double); |
| 473 |
long double log2l(long double); |
| 474 |
long double logbl(long double); |
| 475 |
long double logl(long double); |
| 476 |
long lrintl(long double); |
| 477 |
long lroundl(long double); |
| 478 |
long double modfl(long double, long double *); /* fundamentally !__pure2 */ |
| 479 |
long double nanl(const char *) __pure2; |
| 480 |
long double nearbyintl(long double); |
| 481 |
long double nextafterl(long double, long double); |
| 482 |
double nexttoward(double, long double); |
| 483 |
float nexttowardf(float, long double); |
| 484 |
long double nexttowardl(long double, long double); |
| 485 |
long double powl(long double, long double); |
| 486 |
long double remainderl(long double, long double); |
| 487 |
long double remquol(long double, long double, int *); |
| 488 |
long double rintl(long double); |
| 489 |
long double roundl(long double); |
| 490 |
long double scalblnl(long double, long); |
| 491 |
long double scalbnl(long double, int); |
| 492 |
long double sinhl(long double); |
| 493 |
long double sinl(long double); |
| 494 |
long double sqrtl(long double); |
| 495 |
long double tanhl(long double); |
| 496 |
long double tanl(long double); |
| 497 |
long double tgammal(long double); |
| 498 |
long double truncl(long double); |
| 499 |
#endif /* __ISO_C_VISIBLE >= 1999 */ |
| 500 |
|
| 501 |
#if __BSD_VISIBLE |
| 502 |
long double lgammal_r(long double, int *); |
| 503 |
#endif |
| 504 |
|
| 505 |
__END_DECLS |
| 506 |
|
| 507 |
#endif /* !_MATH_H_ */ |