include/math.h

   1 /*      $NetBSD: math.h,v 1.53 2010/09/15 16:11:30 christos 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 #if __GNUC_PREREQ__(3, 3)
  63 #define HUGE_VAL        __builtin_huge_val()
  64 #else
  65 extern const union __double_u __infinity;
  66 #define HUGE_VAL        __infinity.__val
  67 #endif
  68
  69 /*
  70  * ISO C99
  71  */
  72 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
  73     !defined(_XOPEN_SOURCE) || \
  74     ((__STDC_VERSION__ - 0) >= 199901L) || \
  75     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
  76     ((_XOPEN_SOURCE  - 0) >= 600) || \
  77     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
  78 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
  79 #if __GNUC_PREREQ__(3, 3)
  80 #define HUGE_VALF       __builtin_huge_valf()
  81 #define HUGE_VALL       __builtin_huge_vall()
  82 #else
  83 extern const union __float_u __infinityf;
  84 #define HUGE_VALF       __infinityf.__val
  85
  86 extern const union __long_double_u __infinityl;
  87 #define HUGE_VALL       __infinityl.__val
  88 #endif
  89
  90 /* 7.12#4 INFINITY */
  91 #if __GNUC_PREREQ__(3, 3)
  92 #define INFINITY        __builtin_inff()
  93 #elif defined(__INFINITY)
  94 #define INFINITY        __INFINITY      /* float constant which overflows */
  95 #else
  96 #define INFINITY        HUGE_VALF       /* positive infinity */
  97 #endif /* __INFINITY */
  98
  99 /* 7.12#5 NAN: a quiet NaN, if supported */
 100 #ifdef __HAVE_NANF
 101 #if __GNUC_PREREQ__(3,3)
 102 #define NAN     __builtin_nanf("")
 103 #else
 104 extern const union __float_u __nanf;
 105 #define NAN             __nanf.__val
 106 #endif
 107 #endif /* __HAVE_NANF */
 108
 109 /* 7.12#6 number classification macros */
 110 #define FP_INFINITE     0x00
 111 #define FP_NAN          0x01
 112 #define FP_NORMAL       0x02
 113 #define FP_SUBNORMAL    0x03
 114 #define FP_ZERO         0x04
 115 /* NetBSD extensions */
 116 #define _FP_LOMD        0x80            /* range for machine-specific classes */
 117 #define _FP_HIMD        0xff
 118
 119 #endif /* !_ANSI_SOURCE && ... */
 120
 121 /*
 122  * XOPEN/SVID
 123  */
 124 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
 125 #define M_E             2.7182818284590452354   /* e */
 126 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 127 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 128 #define M_LN2           0.69314718055994530942  /* log e2 */
 129 #define M_LN10          2.30258509299404568402  /* log e10 */
 130 #define M_PI            3.14159265358979323846  /* pi */
 131 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 132 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 133 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 134 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 135 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 136 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 137 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 138
 139 #define MAXFLOAT        ((float)3.40282346638528860e+38)
 140 extern int signgam;
 141 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
 142
 143 #if defined(_NETBSD_SOURCE)
 144 enum fdversion {fdlibm_ieee = -1, fdlibm_svid, fdlibm_xopen, fdlibm_posix};
 145
 146 #define _LIB_VERSION_TYPE enum fdversion
 147 #define _LIB_VERSION _fdlib_version
 148
 149 /* if global variable _LIB_VERSION is not desirable, one may
 150  * change the following to be a constant by:
 151  *      #define _LIB_VERSION_TYPE const enum version
 152  * In that case, after one initializes the value _LIB_VERSION (see
 153  * s_lib_version.c) during compile time, it cannot be modified
 154  * in the middle of a program
 155  */
 156 extern  _LIB_VERSION_TYPE  _LIB_VERSION;
 157
 158 #define _IEEE_  fdlibm_ieee
 159 #define _SVID_  fdlibm_svid
 160 #define _XOPEN_ fdlibm_xopen
 161 #define _POSIX_ fdlibm_posix
 162
 163 #ifndef __cplusplus
 164 struct exception {
 165         int type;
 166         const char *name;
 167         double arg1;
 168         double arg2;
 169         double retval;
 170 };
 171 #endif
 172
 173 #define HUGE            MAXFLOAT
 174
 175 /*
 176  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
 177  * (one may replace the following line by "#include <values.h>")
 178  */
 179
 180 #define X_TLOSS         1.41484755040568800000e+16
 181
 182 #define DOMAIN          1
 183 #define SING            2
 184 #define OVERFLOW        3
 185 #define UNDERFLOW       4
 186 #define TLOSS           5
 187 #define PLOSS           6
 188
 189 #endif /* _NETBSD_SOURCE */
 190
 191 __BEGIN_DECLS
 192 /*
 193  * ANSI/POSIX
 194  */
 195 double  acos(double);
 196 double  asin(double);
 197 double  atan(double);
 198 double  atan2(double, double);
 199 double  cos(double);
 200 double  sin(double);
 201 double  tan(double);
 202
 203 double  cosh(double);
 204 double  sinh(double);
 205 double  tanh(double);
 206
 207 double  exp(double);
 208 double  exp2(double);
 209 double  frexp(double, int *);
 210 double  ldexp(double, int);
 211 double  log(double);
 212 double  log2(double);
 213 double  log10(double);
 214 double  modf(double, double *);
 215
 216 double  pow(double, double);
 217 double  sqrt(double);
 218
 219 double  ceil(double);
 220 double  fabs(double);
 221 double  floor(double);
 222 double  fmod(double, double);
 223
 224 #if defined(_XOPEN_SOURCE) || defined(_NETBSD_SOURCE)
 225 double  erf(double);
 226 double  erfc(double);
 227 double  gamma(double);
 228 double  hypot(double, double);
 229 int     finite(double);
 230 double  j0(double);
 231 double  j1(double);
 232 double  jn(int, double);
 233 double  lgamma(double);
 234 double  y0(double);
 235 double  y1(double);
 236 double  yn(int, double);
 237
 238 #if (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)
 239 double  acosh(double);
 240 double  asinh(double);
 241 double  atanh(double);
 242 double  cbrt(double);
 243 double  expm1(double);
 244 int     ilogb(double);
 245 double  log1p(double);
 246 double  logb(double);
 247 double  nextafter(double, double);
 248 double  remainder(double, double);
 249 double  rint(double);
 250 double  scalb(double, double);
 251 #endif /* (_XOPEN_SOURCE - 0) >= 500 || defined(_NETBSD_SOURCE)*/
 252 #endif /* _XOPEN_SOURCE || _NETBSD_SOURCE */
 253
 254 /*
 255  * ISO C99
 256  */
 257 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) && \
 258     !defined(_XOPEN_SOURCE) || \
 259     ((__STDC_VERSION__ - 0) >= 199901L) || \
 260     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
 261     ((_XOPEN_SOURCE  - 0) >= 600) || \
 262     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
 263 /* 7.12.3.1 int fpclassify(real-floating x) */
 264 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
 265
 266 /* 7.12.3.2 int isfinite(real-floating x) */
 267 #define isfinite(__x)   __fpmacro_unary_floating(isfinite, __x)
 268
 269 /* 7.12.3.5 int isnormal(real-floating x) */
 270 #define isnormal(__x)   (fpclassify(__x) == FP_NORMAL)
 271
 272 /* 7.12.3.6 int signbit(real-floating x) */
 273 #define signbit(__x)    __fpmacro_unary_floating(signbit, __x)
 274
 275 /* 7.12.4 trigonometric */
 276
 277 float   acosf(float);
 278 float   asinf(float);
 279 float   atanf(float);
 280 float   atan2f(float, float);
 281 float   cosf(float);
 282 float   sinf(float);
 283 float   tanf(float);
 284
 285 /* 7.12.5 hyperbolic */
 286
 287 float   acoshf(float);
 288 float   asinhf(float);
 289 float   atanhf(float);
 290 float   coshf(float);
 291 float   sinhf(float);
 292 float   tanhf(float);
 293
 294 /* 7.12.6 exp / log */
 295
 296 float   expf(float);
 297 float   exp2f(float);
 298 float   expm1f(float);
 299 float   frexpf(float, int *);
 300 int     ilogbf(float);
 301 float   ldexpf(float, int);
 302 float   logf(float);
 303 float   log2f(float);
 304 float   log10f(float);
 305 float   log1pf(float);
 306 float   logbf(float);
 307 float   modff(float, float *);
 308 float   scalbnf(float, int);
 309
 310 /* 7.12.7 power / absolute */
 311
 312 float   cbrtf(float);
 313 float   fabsf(float);
 314 long double     fabsl(long double);
 315 float   hypotf(float, float);
 316 float   powf(float, float);
 317 float   sqrtf(float);
 318
 319 /* 7.12.8 error / gamma */
 320
 321 float   erff(float);
 322 float   erfcf(float);
 323 float   lgammaf(float);
 324
 325 /* 7.12.9 nearest integer */
 326
 327 float   ceilf(float);
 328 float   floorf(float);
 329 float   rintf(float);
 330 double  round(double);
 331 float   roundf(float);
 332 double  trunc(double);
 333 float   truncf(float);
 334 long int        lrint(double);
 335 long int        lrintf(float);
 336 /* LONGLONG */
 337 long long int   llrint(double);
 338 /* LONGLONG */
 339 long long int   llrintf(float);
 340 long int        lround(double);
 341 long int        lroundf(float);
 342 /* LONGLONG */
 343 long long int   llround(double);
 344 /* LONGLONG */
 345 long long int   llroundf(float);
 346
 347 /* 7.12.10 remainder */
 348
 349 float   fmodf(float, float);
 350 float   remainderf(float, float);
 351
 352 /* 7.12.11 manipulation */
 353
 354 float   copysignf(float, float);
 355 long double     copysignl(long double, long double);
 356 double  nan(const char *);
 357 float   nanf(const char *);
 358 long double     nanl(const char *);
 359 float   nextafterf(float, float);
 360 long double     nextafterl(long double, long double);
 361 double  nexttoward(double, long double);
 362
 363 /* 7.12.14 comparison */
 364
 365 #define isunordered(x, y)       (isnan(x) || isnan(y))
 366 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 367 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 368 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 369 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 370 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 371                                  ((x) > (y) || (y) > (x)))
 372 double  fdim(double, double);
 373 double  fmax(double, double);
 374 double  fmin(double, double);
 375 float   fdimf(float, float);
 376 float   fmaxf(float, float);
 377 float   fminf(float, float);
 378 long double fdiml(long double, long double);
 379 long double fmaxl(long double, long double);
 380 long double fminl(long double, long double);
 381
 382 #endif /* !_ANSI_SOURCE && ... */
 383
 384 #if !defined(_ANSI_SOURCE) && !defined(_POSIX_C_SOURCE) || \
 385     !defined(_XOPEN_SOURCE) || \
 386     ((__STDC_VERSION__ - 0) >= 199901L) || \
 387     ((_POSIX_C_SOURCE - 0) >= 200112L) || \
 388     defined(_ISOC99_SOURCE) || defined(_NETBSD_SOURCE)
 389 /* 7.12.3.3 int isinf(real-floating x) */
 390 #ifdef __isinf
 391 #define isinf(__x)      __isinf(__x)
 392 #else
 393 #define isinf(__x)      __fpmacro_unary_floating(isinf, __x)
 394 #endif
 395
 396 /* 7.12.3.4 int isnan(real-floating x) */
 397 #ifdef __isnan
 398 #define isnan(__x)      __isnan(__x)
 399 #else
 400 #define isnan(__x)      __fpmacro_unary_floating(isnan, __x)
 401 #endif
 402 #endif /* !_ANSI_SOURCE && ... */
 403
 404 #if defined(_NETBSD_SOURCE)
 405 #ifndef __cplusplus
 406 int     matherr(struct exception *);
 407 #endif
 408
 409 /*
 410  * IEEE Test Vector
 411  */
 412 double  significand(double);
 413
 414 /*
 415  * Functions callable from C, intended to support IEEE arithmetic.
 416  */
 417 double  copysign(double, double);
 418 double  scalbn(double, int);
 419
 420 /*
 421  * BSD math library entry points
 422  */
 423 double  drem(double, double);
 424
 425 #endif /* _NETBSD_SOURCE */
 426
 427 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
 428 /*
 429  * Reentrant version of gamma & lgamma; passes signgam back by reference
 430  * as the second argument; user must allocate space for signgam.
 431  */
 432 double  gamma_r(double, int *);
 433 double  lgamma_r(double, int *);
 434 #endif /* _NETBSD_SOURCE || _REENTRANT */
 435
 436
 437 #if defined(_NETBSD_SOURCE)
 438
 439 /* float versions of ANSI/POSIX functions */
 440
 441 float   gammaf(float);
 442 int     isinff(float);
 443 int     isnanf(float);
 444 int     finitef(float);
 445 float   j0f(float);
 446 float   j1f(float);
 447 float   jnf(int, float);
 448 float   y0f(float);
 449 float   y1f(float);
 450 float   ynf(int, float);
 451
 452 float   scalbf(float, float);
 453
 454 /*
 455  * float version of IEEE Test Vector
 456  */
 457 float   significandf(float);
 458
 459 /*
 460  * float versions of BSD math library entry points
 461  */
 462 float   dremf(float, float);
 463 #endif /* _NETBSD_SOURCE */
 464
 465 #if defined(_NETBSD_SOURCE) || defined(_REENTRANT)
 466 /*
 467  * Float versions of reentrant version of gamma & lgamma; passes
 468  * signgam back by reference as the second argument; user must
 469  * allocate space for signgam.
 470  */
 471 float   gammaf_r(float, int *);
 472 float   lgammaf_r(float, int *);
 473 #endif /* !... || _REENTRANT */
 474
 475 /*
 476  * Library implementation
 477  */
 478 int     __fpclassifyf(float);
 479 int     __fpclassifyd(double);
 480 int     __isfinitef(float);
 481 int     __isfinited(double);
 482 int     __isinff(float);
 483 int     __isinfd(double);
 484 int     __isnanf(float);
 485 int     __isnand(double);
 486 int     __signbitf(float);
 487 int     __signbitd(double);
 488
 489 #ifdef __HAVE_LONG_DOUBLE
 490 int     __fpclassifyl(long double);
 491 int     __isfinitel(long double);
 492 int     __isinfl(long double);
 493 int     __isnanl(long double);
 494 int     __signbitl(long double);
 495 #endif
 496 __END_DECLS
 497
 498 #endif /* _MATH_H_ */