include/math.h

   1 /*      $NetBSD: math.h,v 1.48 2009/02/22 01:34:01 martin 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 #if __GNUC_PREREQ__(3,3)
  91 #define NAN     __builtin_nanf("")
  92 #else
  93 extern const union __float_u __nanf;
  94 #define NAN             __nanf.__val
  95 #endif
  96 #endif /* __HAVE_NANF */
  97
  98 /* 7.12#6 number classification macros */
  99 #define FP_INFINITE     0x00
 100 #define FP_NAN          0x01
 101 #define FP_NORMAL       0x02
 102 #define FP_SUBNORMAL    0x03
 103 #define FP_ZERO         0x04
 104 /* NetBSD extensions */
 105 #define _FP_LOMD        0x80            /* range for machine-specific classes */
 106 #define _FP_HIMD        0xff
 107
 108 #endif /* !_ANSI_SOURCE && ... */
 109
 110 /*
 111  * XOPEN/SVID
 112  */
 113 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
 114 #define M_E             2.7182818284590452354   /* e */
 115 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 116 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 117 #define M_LN2           0.69314718055994530942  /* log e2 */
 118 #define M_LN10          2.30258509299404568402  /* log e10 */
 119 #define M_PI            3.14159265358979323846  /* pi */
 120 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 121 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 122 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 123 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 124 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 125 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 126 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 127
 128 #define MAXFLOAT        ((float)3.40282346638528860e+38)
 129 extern int signgam;
 130 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
 131
 132 #if defined(_NETBSD_SOURCE)
 133 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
 134
 135 #define _LIB_VERSION_TYPE enum fdversion
 136 #define _LIB_VERSION _fdlib_version
 137
 138 /* if global variable _LIB_VERSION is not desirable, one may
 139  * change the following to be a constant by:
 140  *      #define _LIB_VERSION_TYPE const enum version
 141  * In that case, after one initializes the value _LIB_VERSION (see
 142  * s_lib_version.c) during compile time, it cannot be modified
 143  * in the middle of a program
 144  */
 145 extern  _LIB_VERSION_TYPE  _LIB_VERSION;
 146
 147 #define _IEEE_  fdlibm_ieee
 148 #define _SVID_  fdlibm_svid
 149 #define _XOPEN_ fdlibm_xopen
 150 #define _POSIX_ fdlibm_posix
 151
 152 #ifndef __cplusplus
 153 struct exception {
 154         int type;
 155         const char *name;
 156         double arg1;
 157         double arg2;
 158         double retval;
 159 };
 160 #endif
 161
 162 #define HUGE            MAXFLOAT
 163
 164 /*
 165  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
 166  * (one may replace the following line by "#include <values.h>")
 167  */
 168
 169 #define X_TLOSS         1.41484755040568800000e+16
 170
 171 #define DOMAIN          1
 172 #define SING            2
 173 #define OVERFLOW        3
 174 #define UNDERFLOW       4
 175 #define TLOSS           5
 176 #define PLOSS           6
 177
 178 #endif /* _NETBSD_SOURCE */
 179
 180 __BEGIN_DECLS
 181 /*
 182  * ANSI/POSIX
 183  */
 184 double  acos(double);
 185 double  asin(double);
 186 double  atan(double);
 187 double  atan2(double, double);
 188 double  cos(double);
 189 double  sin(double);
 190 double  tan(double);
 191
 192 double  cosh(double);
 193 double  sinh(double);
 194 double  tanh(double);
 195
 196 double  exp(double);
 197 double  frexp(double, int *);
 198 double  ldexp(double, int);
 199 double  log(double);
 200 double  log2(double);
 201 double  log10(double);
 202 double  modf(double, double *);
 203
 204 double  pow(double, double);
 205 double  sqrt(double);
 206
 207 double  ceil(double);
 208 double  fabs(double);
 209 double  floor(double);
 210 double  fmod(double, double);
 211
 212 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
 213 double  erf(double);
 214 double  erfc(double);
 215 double  gamma(double);
 216 double  hypot(double, double);
 217 int     finite(double);
 218 double  j0(double);
 219 double  j1(double);
 220 double  jn(int, double);
 221 double  lgamma(double);
 222 double  y0(double);
 223 double  y1(double);
 224 double  yn(int, double);
 225
 226 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
 227 double  acosh(double);
 228 double  asinh(double);
 229 double  atanh(double);
 230 double  cbrt(double);
 231 double  expm1(double);
 232 int     ilogb(double);
 233 double  log1p(double);
 234 double  logb(double);
 235 double  nextafter(double, double);
 236 double  remainder(double, double);
 237 double  rint(double);
 238 double  scalb(double, double);
 239 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
 240 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
 241
 242 /*
 243  * ISO C99
 244  */
 245 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
 246     !defined(_XOPEN_SOURCE) || \
 247     ((__STDC_VERSION__ - 0) >= 199901L) || \
 248     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
 249     ((_XOPEN_SOURCE  - 0) >= 600) || \
 250     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
 251 /* 7.12.3.1 int fpclassify(real-floating x) */
 252 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
 253
 254 /* 7.12.3.2 int isfinite(real-floating x) */
 255 #define isfinite(__x)   __fpmacro_unary_floating(isfinite, __x)
 256
 257 /* 7.12.3.5 int isnormal(real-floating x) */
 258 #define isnormal(__x)   (fpclassify(__x) == FP_NORMAL)
 259
 260 /* 7.12.3.6 int signbit(real-floating x) */
 261 #define signbit(__x)    __fpmacro_unary_floating(signbit, __x)
 262
 263 /* 7.12.4 trigonometric */
 264
 265 float   acosf(float);
 266 float   asinf(float);
 267 float   atanf(float);
 268 float   atan2f(float, float);
 269 float   cosf(float);
 270 float   sinf(float);
 271 float   tanf(float);
 272
 273 /* 7.12.5 hyperbolic */
 274
 275 float   acoshf(float);
 276 float   asinhf(float);
 277 float   atanhf(float);
 278 float   coshf(float);
 279 float   sinhf(float);
 280 float   tanhf(float);
 281
 282 /* 7.12.6 exp / log */
 283
 284 float   expf(float);
 285 float   expm1f(float);
 286 float   frexpf(float, int *);
 287 int     ilogbf(float);
 288 float   ldexpf(float, int);
 289 float   logf(float);
 290 float   log2f(float);
 291 float   log10f(float);
 292 float   log1pf(float);
 293 float   logbf(float);
 294 float   modff(float, float *);
 295 float   scalbnf(float, int);
 296
 297 /* 7.12.7 power / absolute */
 298
 299 float   cbrtf(float);
 300 float   fabsf(float);
 301 float   hypotf(float, float);
 302 float   powf(float, float);
 303 float   sqrtf(float);
 304
 305 /* 7.12.8 error / gamma */
 306
 307 float   erff(float);
 308 float   erfcf(float);
 309 float   lgammaf(float);
 310
 311 /* 7.12.9 nearest integer */
 312
 313 float   ceilf(float);
 314 float   floorf(float);
 315 float   rintf(float);
 316 double  round(double);
 317 float   roundf(float);
 318 double  trunc(double);
 319 float   truncf(float);
 320 long int        lrint(double);
 321 long int        lrintf(float);
 322 /* LONGLONG */
 323 long long int   llrint(double);
 324 /* LONGLONG */
 325 long long int   llrintf(float);
 326 long int        lround(double);
 327 long int        lroundf(float);
 328 /* LONGLONG */
 329 long long int   llround(double);
 330 /* LONGLONG */
 331 long long int   llroundf(float);
 332
 333 /* 7.12.10 remainder */
 334
 335 float   fmodf(float, float);
 336 float   remainderf(float, float);
 337
 338 /* 7.12.11 manipulation */
 339
 340 float   copysignf(float, float);
 341 double  nan(const char *);
 342 float   nanf(const char *);
 343 long double     nanl(const char *);
 344 float   nextafterf(float, float);
 345
 346 /* 7.12.14 comparision */
 347
 348 #define isunordered(x, y)       (isnan(x) || isnan(y))
 349 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 350 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 351 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 352 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 353 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 354                                  ((x) > (y) || (y) > (x)))
 355 double  fdim(double, double);
 356 double  fmax(double, double);
 357 double  fmin(double, double);
 358 float   fdimf(float, float);
 359 float   fmaxf(float, float);
 360 float   fminf(float, float);
 361 long double fdiml(long double, long double);
 362 long double fmaxl(long double, long double);
 363 long double fminl(long double, long double);
 364
 365 #endif /* !_ANSI_SOURCE && ... */
 366
 367 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
 368     !defined(_XOPEN_SOURCE) || \
 369     ((__STDC_VERSION__ - 0) >= 199901L) || \
 370     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
 371     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
 372 /* 7.12.3.3 int isinf(real-floating x) */
 373 #ifdef __isinf
 374 #define isinf(__x)      __isinf(__x)
 375 #else
 376 #define isinf(__x)      __fpmacro_unary_floating(isinf, __x)
 377 #endif
 378
 379 /* 7.12.3.4 int isnan(real-floating x) */
 380 #ifdef __isnan
 381 #define isnan(__x)      __isnan(__x)
 382 #else
 383 #define isnan(__x)      __fpmacro_unary_floating(isnan, __x)
 384 #endif
 385 #endif /* !_ANSI_SOURCE && ... */
 386
 387 #if defined(_NETBSD_SOURCE)
 388 #ifndef __cplusplus
 389 int     matherr(struct exception *);
 390 #endif
 391
 392 /*
 393  * IEEE Test Vector
 394  */
 395 double  significand(double);
 396
 397 /*
 398  * Functions callable from C, intended to support IEEE arithmetic.
 399  */
 400 double  copysign(double, double);
 401 double  scalbn(double, int);
 402
 403 /*
 404  * BSD math library entry points
 405  */
 406 double  drem(double, double);
 407
 408 #endif /* _NETBSD_SOURCE */
 409
 410 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
 411 /*
 412  * Reentrant version of gamma & lgamma; passes signgam back by reference
 413  * as the second argument; user must allocate space for signgam.
 414  */
 415 double  gamma_r(double, int *);
 416 double  lgamma_r(double, int *);
 417 #endif /* _NETBSD_SOURCE || _REENTRANT */
 418
 419
 420 #if defined(_NETBSD_SOURCE)
 421
 422 /* float versions of ANSI/POSIX functions */
 423
 424 float   gammaf(float);
 425 int     isinff(float);
 426 int     isnanf(float);
 427 int     finitef(float);
 428 float   j0f(float);
 429 float   j1f(float);
 430 float   jnf(int, float);
 431 float   y0f(float);
 432 float   y1f(float);
 433 float   ynf(int, float);
 434
 435 float   scalbf(float, float);
 436
 437 /*
 438  * float version of IEEE Test Vector
 439  */
 440 float   significandf(float);
 441
 442 /*
 443  * float versions of BSD math library entry points
 444  */
 445 float   dremf(float, float);
 446 #endif /* _NETBSD_SOURCE */
 447
 448 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
 449 /*
 450  * Float versions of reentrant version of gamma & lgamma; passes
 451  * signgam back by reference as the second argument; user must
 452  * allocate space for signgam.
 453  */
 454 float   gammaf_r(float, int *);
 455 float   lgammaf_r(float, int *);
 456 #endif /* !... || _REENTRANT */
 457
 458 /*
 459  * Library implementation
 460  */
 461 int     __fpclassifyf(float);
 462 int     __fpclassifyd(double);
 463 int     __isfinitef(float);
 464 int     __isfinited(double);
 465 int     __isinff(float);
 466 int     __isinfd(double);
 467 int     __isnanf(float);
 468 int     __isnand(double);
 469 int     __signbitf(float);
 470 int     __signbitd(double);
 471
 472 #ifdef __HAVE_LONG_DOUBLE
 473 int     __fpclassifyl(long double);
 474 int     __isfinitel(long double);
 475 int     __isinfl(long double);
 476 int     __isnanl(long double);
 477 int     __signbitl(long double);
 478 #endif
 479 __END_DECLS
 480
 481 #endif /* _MATH_H_ */