include/math.h

   1 /*      $NetBSD: math.h,v 1.40 2005/02/03 04:39:32 perry 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  * $NetBSD: math.h,v 1.40 2005/02/03 04:39:32 perry Exp $
  14  * $DragonFly: src/include/math.h,v 1.7 2005/08/26 20:44:25 joerg Exp $
  15  */
  16
  17 /*
  18  * @(#)fdlibm.h 5.1 93/09/24
  19  */
  20
  21 #ifndef _MATH_H_
  22 #define _MATH_H_
  23
  24 #include <sys/cdefs.h>
  25
  26 #if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
  27 #define __MATH_BUILTIN_CONSTANTS
  28 #endif
  29
  30 #if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
  31 #define __MATH_BUILTIN_RELOPS
  32 #endif
  33
  34 union __float_u {
  35         unsigned char __dummy[sizeof(float)];
  36         float __val;
  37 };
  38
  39 union __double_u {
  40         unsigned char __dummy[sizeof(double)];
  41         double __val;
  42 };
  43
  44 union __long_double_u {
  45         unsigned char __dummy[sizeof(long double)];
  46         long double __val;
  47 };
  48
  49 #include <machine/math.h>
  50
  51 #ifdef __HAVE_LONG_DOUBLE
  52 #define __fpmacro_unary_floating(__name, __arg0)                        \
  53         /* LINTED */                                                    \
  54         ((sizeof (__arg0) == sizeof (float))                            \
  55         ?       __ ## __name ## f (__arg0)                              \
  56         : (sizeof (__arg0) == sizeof (double))                          \
  57         ?       __ ## __name ## d (__arg0)                              \
  58         :       __ ## __name ## l (__arg0))
  59 #else
  60 #define __fpmacro_unary_floating(__name, __arg0)                        \
  61         /* LINTED */                                                    \
  62         ((sizeof (__arg0) == sizeof (float))                            \
  63         ?       __ ## __name ## f (__arg0)                              \
  64         :       __ ## __name ## d (__arg0))
  65 #endif /* __HAVE_LONG_DOUBLE */
  66
  67 /*
  68  * ANSI/POSIX
  69  */
  70 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
  71 extern __const union __double_u __infinity;
  72 #ifdef __MATH_BUILTIN_CONSTANTS
  73 #define HUGE_VAL        __builtin_huge_val()
  74 #else
  75 #define HUGE_VAL        __infinity.__val
  76 #endif
  77
  78 /*
  79  * ISO C99
  80  */
  81 #if __ISO_C_VISIBLE >= 1999
  82 /* 7.12#3 HUGE_VAL, HUGELF, HUGE_VALL */
  83 extern __const union __float_u __infinityf;
  84 #ifdef __MATH_BUILTIN_CONSTANTS
  85 #define HUGE_VALF       __builtin_huge_valf()
  86 #else
  87 #define HUGE_VALF       __infinityf.__val
  88 #endif
  89
  90 extern __const union __long_double_u __infinityl;
  91 #define HUGE_VALL       __infinityl.__val
  92
  93 /* 7.12#4 INFINITY */
  94 #ifdef __MATH_BUILTIN_CONSTANTS
  95 #define INFINITY        __builtin_inf()
  96 #elif defined(__INFINITY)
  97 #define INFINITY        __INFINITY      /* float constant which overflows */
  98 #else
  99 #define INFINITY        HUGE_VALF       /* positive infinity */
 100 #endif /* __INFINITY */
 101
 102 /* 7.12#5 NAN: a quiet NaN, if supported */
 103 #ifdef __MATH_BUILTIN_CONSTANTS
 104 #define NAN             __builtin_nan("")
 105 #elif defined(__HAVE_NANF)
 106 extern __const union __float_u __nanf;
 107 #define NAN             __nanf.__val
 108 #endif /* __HAVE_NANF */
 109
 110 /* 7.12#6 number classification macros */
 111 #define FP_INFINITE     0x00
 112 #define FP_NAN          0x01
 113 #define FP_NORMAL       0x02
 114 #define FP_SUBNORMAL    0x03
 115 #define FP_ZERO         0x04
 116 /* NetBSD extensions */
 117 #define _FP_LOMD        0x80            /* range for machine-specific classes */
 118 #define _FP_HIMD        0xff
 119
 120 #endif /* ISO C99 */
 121
 122 /*
 123  * XOPEN/SVID
 124  */
 125 #if __XSI_VISIBLE > 0
 126 #define M_E             2.7182818284590452354   /* e */
 127 #define M_LOG2E         1.4426950408889634074   /* log 2e */
 128 #define M_LOG10E        0.43429448190325182765  /* log 10e */
 129 #define M_LN2           0.69314718055994530942  /* log e2 */
 130 #define M_LN10          2.30258509299404568402  /* log e10 */
 131 #define M_PI            3.14159265358979323846  /* pi */
 132 #define M_PI_2          1.57079632679489661923  /* pi/2 */
 133 #define M_PI_4          0.78539816339744830962  /* pi/4 */
 134 #define M_1_PI          0.31830988618379067154  /* 1/pi */
 135 #define M_2_PI          0.63661977236758134308  /* 2/pi */
 136 #define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
 137 #define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
 138 #define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */
 139
 140 #define MAXFLOAT        ((float)3.40282346638528860e+38)
 141 extern int signgam;
 142 #endif /* _XSI_VISIBLE */
 143
 144 #if __DF_VISIBLE
 145 #define HUGE            MAXFLOAT
 146
 147 /*
 148  * set X_TLOSS = pi*2**52, which is possibly defined in <values.h>
 149  * (one may replace the following line by "#include <values.h>")
 150  */
 151
 152 #define X_TLOSS         1.41484755040568800000e+16
 153
 154 #define DOMAIN          1
 155 #define SING            2
 156 #define OVERFLOW        3
 157 #define UNDERFLOW       4
 158 #define TLOSS           5
 159 #define PLOSS           6
 160
 161 #endif /* __DF_VISIBLE */
 162
 163 __BEGIN_DECLS
 164 /*
 165  * ANSI/POSIX
 166  */
 167 double  acos(double);
 168 double  asin(double);
 169 double  atan(double);
 170 double  atan2(double, double);
 171 double  cos(double);
 172 double  sin(double);
 173 double  tan(double);
 174
 175 double  cosh(double);
 176 double  sinh(double);
 177 double  tanh(double);
 178
 179 double  exp(double);
 180 double  frexp(double, int *);
 181 double  ldexp(double, int);
 182 double  log(double);
 183 double  log10(double);
 184 double  modf(double, double *);
 185
 186 double  pow(double, double);
 187 double  sqrt(double);
 188
 189 double  ceil(double);
 190 double  fabs(double);
 191 double  floor(double);
 192 double  fmod(double, double);
 193
 194 #if __XSI_VISIBLE > 0
 195 double  erf(double);
 196 double  erfc(double);
 197 double  gamma(double);
 198 double  hypot(double, double);
 199 int     finite(double);
 200 double  j0(double);
 201 double  j1(double);
 202 double  jn(int, double);
 203 double  lgamma(double);
 204 double  y0(double);
 205 double  y1(double);
 206 double  yn(int, double);
 207 #endif /* __XSI_VISIBLE */
 208
 209 #if __XSI_VISIBLE >= 500
 210 double  acosh(double);
 211 double  asinh(double);
 212 double  atanh(double);
 213 double  cbrt(double);
 214 double  expm1(double);
 215 int     ilogb(double);
 216 double  log1p(double);
 217 double  logb(double);
 218 double  nextafter(double, double);
 219 double  remainder(double, double);
 220 double  rint(double);
 221 double  scalb(double, double);
 222 #endif /* __XSI_VISIBLE >= 500 */
 223
 224 /*
 225  * ISO C99
 226  */
 227 #if __ISO_C_VISIBLE >= 1999
 228 /* 7.12.3.1 int fpclassify(real-floating x) */
 229 #define fpclassify(__x) __fpmacro_unary_floating(fpclassify, __x)
 230
 231 /* 7.12.3.2 int isfinite(real-floating x) */
 232 #define isfinite(__x)   __fpmacro_unary_floating(isfinite, __x)
 233
 234 /* 7.12.3.5 int isnormal(real-floating x) */
 235 #define isnormal(__x)   (fpclassify(__x) == FP_NORMAL)
 236
 237 /* 7.12.3.6 int signbit(real-floating x) */
 238 #define signbit(__x)    __fpmacro_unary_floating(signbit, __x)
 239
 240 /* 7.12.4 trigonometric */
 241
 242 float   acosf(float);
 243 float   asinf(float);
 244 float   atanf(float);
 245 float   atan2f(float, float);
 246 float   cosf(float);
 247 float   sinf(float);
 248 float   tanf(float);
 249
 250 /* 7.12.5 hyperbolic */
 251
 252 float   acoshf(float);
 253 float   asinhf(float);
 254 float   atanhf(float);
 255 float   coshf(float);
 256 float   sinhf(float);
 257 float   tanhf(float);
 258
 259 /* 7.12.6 exp / log */
 260
 261 float   expf(float);
 262 float   expm1f(float);
 263 float   frexpf(float, int *);
 264 int     ilogbf(float);
 265 float   ldexpf(float, int);
 266 float   logf(float);
 267 float   log10f(float);
 268 float   log1pf(float);
 269 float   logbf(float);
 270 float   modff(float, float *);
 271 float   scalbnf(float, int);
 272
 273 /* 7.12.7 power / absolute */
 274
 275 float   cbrtf(float);
 276 float   fabsf(float);
 277 float   hypotf(float, float);
 278 float   powf(float, float);
 279 float   sqrtf(float);
 280
 281 /* 7.12.8 error / gamma */
 282
 283 float   erff(float);
 284 float   erfcf(float);
 285 float   lgammaf(float);
 286
 287 /* 7.12.9 nearest integer */
 288
 289 float   ceilf(float);
 290 float   floorf(float);
 291 float   rintf(float);
 292 double  round(double);
 293 float   roundf(float);
 294 long int        lrint(double);
 295 long int        lrintf(float);
 296 /* LONGLONG */
 297 long long int   llrint(double);
 298 /* LONGLONG */
 299 long long int   llrintf(float);
 300 long int        lround(double);
 301 long int        lroundf(float);
 302 /* LONGLONG */
 303 long long int   llround(double);
 304 /* LONGLONG */
 305 long long int   llroundf(float);
 306
 307 /* 7.12.10 remainder */
 308
 309 float   fmodf(float, float);
 310 float   remainderf(float, float);
 311
 312 /* 7.2.11 manipulation */
 313
 314 float   copysignf(float, float);
 315 float   nextafterf(float, float);
 316
 317 #endif /* __ISO_C_VISIBLE >= 1999 */
 318
 319 #if __ISO_C_VISIBLE >= 1999
 320 /* 7.12.3.3 int isinf(real-floating x) */
 321 #ifdef __isinf
 322 #define isinf(__x)      __isinf(__x)
 323 #else
 324 #define isinf(__x)      __fpmacro_unary_floating(isinf, __x)
 325 #endif
 326
 327 /* 7.12.3.4 int isnan(real-floating x) */
 328 #ifdef __isnan
 329 #define isnan(__x)      __isnan(__x)
 330 #else
 331 #define isnan(__x)      __fpmacro_unary_floating(isnan, __x)
 332 #endif
 333
 334 /* 7.12.14 Comparision macros */
 335 #ifdef __MATH_BUILTIN_RELOPS
 336 #define isgreater(x, y)         __builtin_isgreater((x), (y))
 337 #define isgreaterequal(x, y)    __builtin_isgreaterequal((x), (y))
 338 #define isless(x, y)            __builtin_isless((x), (y))
 339 #define islessequal(x, y)       __builtin_islessequal((x), (y))
 340 #define islessgreater(x, y)     __builtin_islessgreater((x), (y))
 341 #define isunordered(x, y)       __builtin_isunordered((x), (y))
 342 #else
 343 #define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
 344 #define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
 345 #define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
 346 #define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
 347 #define islessgreater(x, y)     (!isunordered((x), (y)) && \
 348                                         ((x) > (y) || (y) > (x)))
 349 #define isunordered(x, y)       (isnan(x) || isnan(y))
 350 #endif /* __MATH_BUILTIN_RELOPS */
 351
 352 #endif /* __ISO_C_VISIBLE >= 1999 */
 353
 354 #if __DF_VISIBLE
 355 /*
 356  * IEEE Test Vector
 357  */
 358 double  significand(double);
 359
 360 /*
 361  * Functions callable from C, intended to support IEEE arithmetic.
 362  */
 363 double  copysign(double, double);
 364 double  scalbn(double, int);
 365
 366 /*
 367  * BSD math library entry points
 368  */
 369 double  drem(double, double);
 370
 371 /*
 372  * Reentrant version of gamma & lgamma; passes signgam back by reference
 373  * as the second argument; user must allocate space for signgam.
 374  */
 375 double  gamma_r(double, int *);
 376 double  lgamma_r(double, int *);
 377 #endif /* __DF_VISIBLE */
 378
 379
 380 #if __DF_VISIBLE
 381
 382 /* float versions of ANSI/POSIX functions */
 383
 384 float   gammaf(float);
 385 int     isinff(float);
 386 int     isnanf(float);
 387 int     finitef(float);
 388 float   j0f(float);
 389 float   j1f(float);
 390 float   jnf(int, float);
 391 float   y0f(float);
 392 float   y1f(float);
 393 float   ynf(int, float);
 394
 395 float   scalbf(float, float);
 396
 397 /*
 398  * float version of IEEE Test Vector
 399  */
 400 float   significandf(float);
 401
 402 /*
 403  * float versions of BSD math library entry points
 404  */
 405 float   dremf(float, float);
 406
 407 /*
 408  * Float versions of reentrant version of gamma & lgamma; passes
 409  * signgam back by reference as the second argument; user must
 410  * allocate space for signgam.
 411  */
 412 float   gammaf_r(float, int *);
 413 float   lgammaf_r(float, int *);
 414 #endif /* __DF_VISIBLE */
 415
 416 /*
 417  * Library implementation
 418  */
 419 int     __fpclassifyf(float);
 420 int     __fpclassifyd(double);
 421 int     __isfinitef(float);
 422 int     __isfinited(double);
 423 int     __isinff(float);
 424 int     __isinfd(double);
 425 int     __isnanf(float);
 426 int     __isnand(double);
 427 int     __signbitf(float);
 428 int     __signbitd(double);
 429
 430 #ifdef __HAVE_LONG_DOUBLE
 431 int     __fpclassifyl(long double);
 432 int     __isfinitel(long double);
 433 int     __isinfl(long double);
 434 int     __isnanl(long double);
 435 int     __signbitl(long double);
 436 #endif
 437 __END_DECLS
 438
 439 #endif /* _MATH_H_ */