include/math.h

   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  *
  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 $
  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
  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
  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 */
  69 extern const union __double_u __infinity;
  70 #ifdef __MATH_BUILTIN_CONSTANTS
  71 #define HUGE_VAL        __builtin_huge_val()
  72 #else
  73 #define HUGE_VAL        __infinity.__val
  74 #endif
  75
  76 /*
  77  * ISO C99
  78  */
  79 #if __ISO_C_VISIBLE >= 1999
  80 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
  81 extern const union __float_u __infinityf;
  82 #ifdef __MATH_BUILTIN_CONSTANTS
  83 #define HUGE_VALF       __builtin_huge_valf()
  84 #else
  85 #define HUGE_VALF       __infinityf.__val
  86 #endif
  87
  88 extern const union __long_double_u __infinityl;
  89 #ifdef __MATH_BUILTIN_CONSTANTS
  90 #define HUGE_VALL       __builtin_huge_vall()
  91 #else
  92 #define HUGE_VALL       __infinityl.__val
  93 #endif
  94
  95 /* 7.12#4 INFINITY */
  96 #ifdef __MATH_BUILTIN_CONSTANTS
  97 #define INFINITY        __builtin_inf()
  98 #elif defined(__INFINITY)
  99 #define INFINITY        __INFINITY      /* float constant which overflows */
 100 #else
 101 #define INFINITY        HUGE_VALF       /* positive infinity */
 102 #endif /* __INFINITY */
 103
 104 /* 7.12#5 NAN: a quiet NaN, if supported */
 105 #ifdef __MATH_BUILTIN_CONSTANTS
 106 #define NAN             __builtin_nan("")
 107 #elif defined(__HAVE_NANF)
 108 extern const union __float_u __nanf;
 109 #define NAN             __nanf.__val
 110 #endif /* __HAVE_NANF */
 111
 112 /* 7.12#6 number classification macros */
 113 #define FP_INFINITE     0x00
 114 #define FP_NAN          0x01
 115 #define FP_NORMAL       0x02
 116 #define FP_SUBNORMAL    0x03
 117 #define FP_ZERO         0x04
 118 /* NetBSD extensions */
 119 #define _FP_LOMD        0x80            /* range for machine-specific classes */
 120 #define _FP_HIMD        0xff
 121
 122 #endif /* ISO C99 */
 123
 124 /*
 125  * XOPEN/SVID
 126  */
 127 #if __XSI_VISIBLE > 0
 128 #define M_E             2.7182818284590452354   /* e */
 129 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 130 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 131 #define M_LN2           0.69314718055994530942  /* log e2 */
 132 #define M_LN10          2.30258509299404568402  /* log e10 */
 133 #define M_PI            3.14159265358979323846  /* pi */
 134 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 135 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 136 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 137 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 138 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 139 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 140 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 141
 142 #define MAXFLOAT        ((float)3.40282346638528860e+38)
 143 extern int signgam;
 144 #endif /* _XSI_VISIBLE */
 145
 146 #if __DF_VISIBLE
 147 #define HUGE            MAXFLOAT
 148
 149 /*
 150  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
 151  * (one may replace the following line by "#include <values.h>")
 152  */
 153
 154 #define X_TLOSS         1.41484755040568800000e+16
 155
 156 #define DOMAIN          1
 157 #define SING            2
 158 #define OVERFLOW        3
 159 #define UNDERFLOW       4
 160 #define TLOSS           5
 161 #define PLOSS           6
 162
 163 #endif /* __DF_VISIBLE */
 164
 165 __BEGIN_DECLS
 166 /*
 167  * ANSI/POSIX
 168  */
 169 double  acos(double);
 170 double  asin(double);
 171 double  atan(double);
 172 double  atan2(double, double);
 173 double  cos(double);
 174 double  sin(double);
 175 double  tan(double);
 176
 177 double  cosh(double);
 178 double  sinh(double);
 179 double  tanh(double);
 180
 181 double  exp(double);
 182 double  frexp(double, int *);
 183 double  ldexp(double, int);
 184 double  log(double);
 185 double  log2(double);
 186 double  log10(double);
 187 double  modf(double, double *);
 188
 189 double  pow(double, double);
 190 double  sqrt(double);
 191
 192 double  ceil(double);
 193 double  fabs(double);
 194 double  floor(double);
 195 double  fmod(double, double);
 196
 197 #if __XSI_VISIBLE > 0
 198 double  erf(double);
 199 double  erfc(double);
 200 double  gamma(double);
 201 double  hypot(double, double);
 202 int     finite(double);
 203 double  j0(double);
 204 double  j1(double);
 205 double  jn(int, double);
 206 double  lgamma(double);
 207 double  y0(double);
 208 double  y1(double);
 209 double  yn(int, double);
 210 #endif /* __XSI_VISIBLE */
 211
 212 #if __XSI_VISIBLE >= 500
 213 double  acosh(double);
 214 double  asinh(double);
 215 double  atanh(double);
 216 double  cbrt(double);
 217 double  expm1(double);
 218 int     ilogb(double);
 219 double  log1p(double);
 220 double  logb(double);
 221 double  nextafter(double, double);
 222 double  remainder(double, double);
 223 double  rint(double);
 224 double  scalb(double, double);
 225 #endif /* __XSI_VISIBLE >= 500 */
 226
 227 /*
 228  * ISO C99
 229  */
 230 #if __ISO_C_VISIBLE >= 1999
 231 /* 7.12.3.1 int fpclassify(real-floating x) */
 232 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
 233
 234 /* 7.12.3.2 int isfinite(real-floating x) */
 235 #define isfinite(__x)   __fpmacro_unary_floating(isfinite, __x)
 236
 237 /* 7.12.3.5 int isnormal(real-floating x) */
 238 #define isnormal(__x)   (fpclassify(__x) == FP_NORMAL)
 239
 240 /* 7.12.3.6 int signbit(real-floating x) */
 241 #define signbit(__x)    __fpmacro_unary_floating(signbit, __x)
 242
 243 /* 7.12.4 trigonometric */
 244
 245 float   acosf(float);
 246 float   asinf(float);
 247 float   atanf(float);
 248 float   atan2f(float, float);
 249 float   cosf(float);
 250 float   sinf(float);
 251 float   tanf(float);
 252
 253 /* 7.12.5 hyperbolic */
 254
 255 float   acoshf(float);
 256 float   asinhf(float);
 257 float   atanhf(float);
 258 float   coshf(float);
 259 float   sinhf(float);
 260 float   tanhf(float);
 261
 262 /* 7.12.6 exp / log */
 263
 264 float   expf(float);
 265 float   expm1f(float);
 266 float   frexpf(float, int *);
 267 long double     frexpl(long double, int *);
 268 int     ilogbf(float);
 269 float   ldexpf(float, int);
 270 float   logf(float);
 271 float   log2f(float);
 272 float   log10f(float);
 273 float   log1pf(float);
 274 float   logbf(float);
 275 float   modff(float, float *);
 276 float   scalbnf(float, int);
 277
 278 /* 7.12.7 power / absolute */
 279
 280 float   cbrtf(float);
 281 float   fabsf(float);
 282 float   hypotf(float, float);
 283 float   powf(float, float);
 284 float   sqrtf(float);
 285
 286 /* 7.12.8 error / gamma */
 287
 288 float   erff(float);
 289 float   erfcf(float);
 290 float   lgammaf(float);
 291
 292 /* 7.12.9 nearest integer */
 293
 294 float   ceilf(float);
 295 float   floorf(float);
 296 float   nearbyintf(float);
 297 double  nearbyint(double);
 298 float   rintf(float);
 299 double  round(double);
 300 float   roundf(float);
 301 double  trunc(double);
 302 float   truncf(float);
 303 long int        lrint(double);
 304 long int        lrintf(float);
 305 /* LONGLONG */
 306 long long int   llrint(double);
 307 /* LONGLONG */
 308 long long int   llrintf(float);
 309 long int        lround(double);
 310 long int        lroundf(float);
 311 /* LONGLONG */
 312 long long int   llround(double);
 313 /* LONGLONG */
 314 long long int   llroundf(float);
 315
 316 /* 7.12.10 remainder */
 317
 318 float   fmodf(float, float);
 319 float   remainderf(float, float);
 320
 321 /* 7.12.11 manipulation */
 322
 323 float   copysignf(float, float);
 324 long double copysignl(long double x, long double y);
 325
 326 double  nan(const char *);
 327 float   nanf(const char *);
 328 long double     nanl(const char *);
 329 float   nextafterf(float, float);
 330
 331 /* 7.12.12 maximum, minimum, positive difference */
 332 double  fdim(double, double);
 333 float   fdimf(float, float);
 334 long double     fdiml(long double, long double);
 335
 336 double  fmax(double, double);
 337 float   fmaxf(float, float);
 338 long double     fmaxl(long double, long double);
 339
 340 double  fmin(double, double);
 341 float   fminf(float, float);
 342 long double     fminl(long double, long double);
 343
 344 #endif /* __ISO_C_VISIBLE >= 1999 */
 345
 346 #if __ISO_C_VISIBLE >= 1999
 347 /* 7.12.3.3 int isinf(real-floating x) */
 348 #ifdef __isinf
 349 #define isinf(__x)      __isinf(__x)
 350 #else
 351 #define isinf(__x)      __fpmacro_unary_floating(isinf, __x)
 352 #endif
 353
 354 /* 7.12.3.4 int isnan(real-floating x) */
 355 #ifdef __isnan
 356 #define isnan(__x)      __isnan(__x)
 357 #else
 358 #define isnan(__x)      __fpmacro_unary_floating(isnan, __x)
 359 #endif
 360
 361 /* 7.12.14 Comparision macros */
 362 #ifdef __MATH_BUILTIN_RELOPS
 363 #define isgreater(x, y)         __builtin_isgreater((x), (y))
 364 #define isgreaterequal(x, y)    __builtin_isgreaterequal((x), (y))
 365 #define isless(x, y)            __builtin_isless((x), (y))
 366 #define islessequal(x, y)       __builtin_islessequal((x), (y))
 367 #define islessgreater(x, y)     __builtin_islessgreater((x), (y))
 368 #define isunordered(x, y)       __builtin_isunordered((x), (y))
 369 #else
 370 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 371 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 372 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 373 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 374 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 375                                         ((x) > (y) || (y) > (x)))
 376 #define isunordered(x, y)       (isnan(x) || isnan(y))
 377 #endif /* __MATH_BUILTIN_RELOPS */
 378
 379 #endif /* __ISO_C_VISIBLE >= 1999 */
 380
 381 #if __DF_VISIBLE
 382 /*
 383  * IEEE Test Vector
 384  */
 385 double  significand(double);
 386
 387 /*
 388  * Functions callable from C, intended to support IEEE arithmetic.
 389  */
 390 double  copysign(double, double);
 391 double  scalbn(double, int);
 392
 393 /*
 394  * BSD math library entry points
 395  */
 396 double  drem(double, double);
 397
 398 /*
 399  * Reentrant version of gamma & lgamma; passes signgam back by reference
 400  * as the second argument; user must allocate space for signgam.
 401  */
 402 double  gamma_r(double, int *);
 403 double  lgamma_r(double, int *);
 404 #endif /* __DF_VISIBLE */
 405
 406
 407 #if __DF_VISIBLE
 408
 409 /* float versions of ANSI/POSIX functions */
 410
 411 float   gammaf(float);
 412 int     finitef(float);
 413 float   j0f(float);
 414 float   j1f(float);
 415 float   jnf(int, float);
 416 float   y0f(float);
 417 float   y1f(float);
 418 float   ynf(int, float);
 419
 420 float   scalbf(float, float);
 421
 422 /*
 423  * float version of IEEE Test Vector
 424  */
 425 float   significandf(float);
 426
 427 /*
 428  * float versions of BSD math library entry points
 429  */
 430 float   dremf(float, float);
 431
 432 /*
 433  * Float versions of reentrant version of gamma & lgamma; passes
 434  * signgam back by reference as the second argument; user must
 435  * allocate space for signgam.
 436  */
 437 float   gammaf_r(float, int *);
 438 float   lgammaf_r(float, int *);
 439 #endif /* __DF_VISIBLE */
 440
 441 /*
 442  * Library implementation
 443  */
 444 int     __fpclassifyf(float);
 445 int     __fpclassifyd(double);
 446 int     __isfinitef(float);
 447 int     __isfinited(double);
 448 int     __isinff(float);
 449 int     __isinfd(double);
 450 int     __isnanf(float);
 451 int     __isnand(double);
 452 int     __signbitf(float);
 453 int     __signbitd(double);
 454
 455 #ifdef __HAVE_LONG_DOUBLE
 456 int     __fpclassifyl(long double);
 457 int     __isfinitel(long double);
 458 int     __isinfl(long double);
 459 int     __isnanl(long double);
 460 int     __signbitl(long double);
 461 #endif
 462 __END_DECLS
 463
 464 #endif /* _MATH_H_ */