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 #define HUGE_VALL       __infinityl.__val
  90
  91 /* 7.12#4 INFINITY */
  92 #ifdef __MATH_BUILTIN_CONSTANTS
  93 #define INFINITY        __builtin_inf()
  94 #elif defined(__INFINITY)
  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 */
 101 #ifdef __MATH_BUILTIN_CONSTANTS
 102 #define NAN             __builtin_nan("")
 103 #elif defined(__HAVE_NANF)
 104 extern const union __float_u __nanf;
 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);
 181 double  log2(double);
 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 *);
 263 long double     frexpl(long double, int *);
 264 int     ilogbf(float);
 265 float   ldexpf(float, int);
 266 float   logf(float);
 267 float   log2f(float);
 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);
 295 double  trunc(double);
 296 float   truncf(float);
 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
 315 /* 7.12.11 manipulation */
 316
 317 float   copysignf(float, float);
 318 long double copysignl(long double x, long double y);
 319
 320 double  nan(const char *);
 321 float   nanf(const char *);
 322 long double     nanl(const char *);
 323 float   nextafterf(float, float);
 324
 325 /* 7.12.12 maximum, minimum, positive difference */
 326 double  fdim(double, double);
 327 float   fdimf(float, float);
 328 long double     fdiml(long double, long double);
 329
 330 double  fmax(double, double);
 331 float   fmaxf(float, float);
 332 long double     fmaxl(long double, long double);
 333
 334 double  fmin(double, double);
 335 float   fminf(float, float);
 336 long double     fminl(long double, long double);
 337
 338 #endif /* __ISO_C_VISIBLE >= 1999 */
 339
 340 #if __ISO_C_VISIBLE >= 1999
 341 /* 7.12.3.3 int isinf(real-floating x) */
 342 #ifdef __isinf
 343 #define isinf(__x)      __isinf(__x)
 344 #else
 345 #define isinf(__x)      __fpmacro_unary_floating(isinf, __x)
 346 #endif
 347
 348 /* 7.12.3.4 int isnan(real-floating x) */
 349 #ifdef __isnan
 350 #define isnan(__x)      __isnan(__x)
 351 #else
 352 #define isnan(__x)      __fpmacro_unary_floating(isnan, __x)
 353 #endif
 354
 355 /* 7.12.14 Comparision macros */
 356 #ifdef __MATH_BUILTIN_RELOPS
 357 #define isgreater(x, y)         __builtin_isgreater((x), (y))
 358 #define isgreaterequal(x, y)    __builtin_isgreaterequal((x), (y))
 359 #define isless(x, y)            __builtin_isless((x), (y))
 360 #define islessequal(x, y)       __builtin_islessequal((x), (y))
 361 #define islessgreater(x, y)     __builtin_islessgreater((x), (y))
 362 #define isunordered(x, y)       __builtin_isunordered((x), (y))
 363 #else
 364 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 365 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 366 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 367 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 368 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 369                                         ((x) > (y) || (y) > (x)))
 370 #define isunordered(x, y)       (isnan(x) || isnan(y))
 371 #endif /* __MATH_BUILTIN_RELOPS */
 372
 373 #endif /* __ISO_C_VISIBLE >= 1999 */
 374
 375 #if __DF_VISIBLE
 376 /*
 377  * IEEE Test Vector
 378  */
 379 double  significand(double);
 380
 381 /*
 382  * Functions callable from C, intended to support IEEE arithmetic.
 383  */
 384 double  copysign(double, double);
 385 double  scalbn(double, int);
 386
 387 /*
 388  * BSD math library entry points
 389  */
 390 double  drem(double, double);
 391
 392 /*
 393  * Reentrant version of gamma & lgamma; passes signgam back by reference
 394  * as the second argument; user must allocate space for signgam.
 395  */
 396 double  gamma_r(double, int *);
 397 double  lgamma_r(double, int *);
 398 #endif /* __DF_VISIBLE */
 399
 400
 401 #if __DF_VISIBLE
 402
 403 /* float versions of ANSI/POSIX functions */
 404
 405 float   gammaf(float);
 406 int     finitef(float);
 407 float   j0f(float);
 408 float   j1f(float);
 409 float   jnf(int, float);
 410 float   y0f(float);
 411 float   y1f(float);
 412 float   ynf(int, float);
 413
 414 float   scalbf(float, float);
 415
 416 /*
 417  * float version of IEEE Test Vector
 418  */
 419 float   significandf(float);
 420
 421 /*
 422  * float versions of BSD math library entry points
 423  */
 424 float   dremf(float, float);
 425
 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 /* __DF_VISIBLE */
 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_ */