reactos/include/crt/math.h

   1 /**
   2  * This file has no copyright assigned and is placed in the Public Domain.
   3  * This file is part of the w64 mingw-runtime package.
   4  * No warranty is given; refer to the file DISCLAIMER within this package.
   5  */
   6 #ifndef _INC_MATH
   7 #define _INC_MATH
   8
   9 #include <crtdefs.h>
  10
  11 struct exception;
  12
  13 #pragma pack(push,_CRT_PACKING)
  14
  15 #ifdef __cplusplus
  16 extern "C" {
  17 #endif
  18
  19 #ifndef _EXCEPTION_DEFINED
  20 #define _EXCEPTION_DEFINED
  21   struct _exception {
  22     int type;
  23     char *name;
  24     double arg1;
  25     double arg2;
  26     double retval;
  27   };
  28 #endif
  29
  30 #ifndef _COMPLEX_DEFINED
  31 #define _COMPLEX_DEFINED
  32   struct _complex {
  33     double x,y;
  34   };
  35 #endif
  36
  37 #define _DOMAIN 1
  38 #define _SING 2
  39 #define _OVERFLOW 3
  40 #define _UNDERFLOW 4
  41 #define _TLOSS 5
  42 #define _PLOSS 6
  43
  44 #define EDOM 33
  45 #define ERANGE 34
  46
  47   _CRTIMP extern double _HUGE;
  48
  49 #define HUGE_VAL _HUGE
  50
  51 #ifndef _CRT_ABS_DEFINED
  52 #define _CRT_ABS_DEFINED
  53   int __cdecl abs(int _X);
  54   long __cdecl labs(long _X);
  55 #endif
  56   double __cdecl acos(double _X);
  57   double __cdecl asin(double _X);
  58   double __cdecl atan(double _X);
  59   double __cdecl atan2(double _Y,double _X);
  60 #ifndef _SIGN_DEFINED
  61 #define _SIGN_DEFINED
  62   _CRTIMP double __cdecl _copysign (double _Number,double _Sign);
  63   _CRTIMP double __cdecl _chgsign (double _X);
  64 #endif
  65   double __cdecl cos(double _X);
  66   double __cdecl cosh(double _X);
  67   double __cdecl exp(double _X);
  68   double expm1(double _X);
  69   double __cdecl fabs(double _X);
  70   double __cdecl fmod(double _X,double _Y);
  71   double __cdecl log(double _X);
  72   double __cdecl log10(double _X);
  73   double __cdecl pow(double _X,double _Y);
  74   double __cdecl sin(double _X);
  75   double __cdecl sinh(double _X);
  76   double __cdecl tan(double _X);
  77   double __cdecl tanh(double _X);
  78   double __cdecl sqrt(double _X);
  79 #ifndef _CRT_ATOF_DEFINED
  80 #define _CRT_ATOF_DEFINED
  81   double __cdecl atof(const char *_String);
  82   double __cdecl _atof_l(const char *_String,_locale_t _Locale);
  83 #endif
  84
  85   _CRTIMP double __cdecl _cabs(struct _complex _ComplexA);
  86   _CRTIMP double __cdecl ceil(double _X);
  87   _CRTIMP double __cdecl floor(double _X);
  88   _CRTIMP double __cdecl frexp(double _X,int *_Y);
  89   _CRTIMP double __cdecl _hypot(double _X,double _Y);
  90   _CRTIMP double __cdecl _j0(double _X);
  91   _CRTIMP double __cdecl _j1(double _X);
  92   _CRTIMP double __cdecl _jn(int _X,double _Y);
  93   _CRTIMP double __cdecl ldexp(double _X,int _Y);
  94 #ifndef _CRT_MATHERR_DEFINED
  95 #define _CRT_MATHERR_DEFINED
  96   int __cdecl _matherr(struct _exception *_Except);
  97 #endif
  98   _CRTIMP double __cdecl modf(double _X,double *_Y);
  99   _CRTIMP double __cdecl _y0(double _X);
 100   _CRTIMP double __cdecl _y1(double _X);
 101   _CRTIMP double __cdecl _yn(int _X,double _Y);
 102
 103 #if(defined(_X86_) && !defined(__x86_64))
 104   _CRTIMP int __cdecl _set_SSE2_enable(int _Flag);
 105   /* from libmingwex */
 106   float __cdecl _hypotf(float _X,float _Y);
 107 #endif
 108
 109   float frexpf(float _X,int *_Y);
 110   float __cdecl ldexpf(float _X,int _Y);
 111   long double __cdecl ldexpl(long double _X,int _Y);
 112   float __cdecl acosf(float _X);
 113   float __cdecl asinf(float _X);
 114    float __cdecl atanf(float _X);
 115    float __cdecl atan2f(float _X,float _Y);
 116    float __cdecl cosf(float _X);
 117    float __cdecl sinf(float _X);
 118    float __cdecl tanf(float _X);
 119    float __cdecl coshf(float _X);
 120    float __cdecl sinhf(float _X);
 121    float __cdecl tanhf(float _X);
 122    float __cdecl expf(float _X);
 123    float expm1f(float _X);
 124    float __cdecl logf(float _X);
 125    float __cdecl log10f(float _X);
 126    float __cdecl modff(float _X,float *_Y);
 127    float __cdecl powf(float _X,float _Y);
 128    float __cdecl sqrtf(float _X);
 129    float __cdecl ceilf(float _X);
 130    float __cdecl floorf(float _X);
 131   float __cdecl fmodf(float _X,float _Y);
 132    float __cdecl _hypotf(float _X,float _Y);
 133   float __cdecl fabsf(float _X);
 134 #if !defined(__ia64__)
 135    /* from libmingwex */
 136    float __cdecl _copysignf (float _Number,float _Sign);
 137    float __cdecl _chgsignf (float _X);
 138    float __cdecl _logbf(float _X);
 139    float __cdecl _nextafterf(float _X,float _Y);
 140    int __cdecl _finitef(float _X);
 141    int __cdecl _isnanf(float _X);
 142    int __cdecl _fpclassf(float _X);
 143 #endif
 144
 145 #ifndef __cplusplus
 146   __CRT_INLINE long double __cdecl fabsl (long double x)
 147   {
 148     long double res;
 149     __asm__ ("fabs;" : "=t" (res) : "0" (x));
 150     return res;
 151   }
 152 #define _hypotl(x,y) ((long double)_hypot((double)(x),(double)(y)))
 153 #define _matherrl _matherr
 154   __CRT_INLINE long double _chgsignl(long double _Number) { return _chgsign((double)(_Number)); }
 155   __CRT_INLINE long double _copysignl(long double _Number,long double _Sign) { return _copysign((double)(_Number),(double)(_Sign)); }
 156   __CRT_INLINE float frexpf(float _X,int *_Y) { return ((float)frexp((double)_X,_Y)); }
 157
 158 #if !defined (__ia64__)
 159   __CRT_INLINE float __cdecl fabsf (float x)
 160   {
 161     float res;
 162     __asm__ ("fabs;" : "=t" (res) : "0" (x));
 163     return res;
 164   }
 165
 166   __CRT_INLINE float __cdecl ldexpf (float x, int expn) { return (float) ldexp (x, expn); }
 167 #endif
 168 #else
 169   // cplusplus
 170   __CRT_INLINE long double __cdecl fabsl (long double x)
 171   {
 172     long double res;
 173     __asm__ ("fabs;" : "=t" (res) : "0" (x));
 174     return res;
 175   }
 176   __CRT_INLINE long double modfl(long double _X,long double *_Y) {
 177     double _Di,_Df = modf((double)_X,&_Di);
 178     *_Y = (long double)_Di;
 179     return (_Df);
 180   }
 181   __CRT_INLINE long double _chgsignl(long double _Number) { return _chgsign(static_cast<double>(_Number)); }
 182   __CRT_INLINE long double _copysignl(long double _Number,long double _Sign) { return _copysign(static_cast<double>(_Number),static_cast<double>(_Sign)); }
 183   __CRT_INLINE float frexpf(float _X,int *_Y) { return ((float)frexp((double)_X,_Y)); }
 184 #ifndef __ia64__
 185   __CRT_INLINE float __cdecl fabsf (float x)
 186   {
 187     float res;
 188     __asm__ ("fabs;" : "=t" (res) : "0" (x));
 189     return res;
 190   }
 191   __CRT_INLINE float __cdecl ldexpf (float x, int expn) { return (float) ldexp (x, expn); }
 192 #ifndef __x86_64
 193   __CRT_INLINE float acosf(float _X) { return ((float)acos((double)_X)); }
 194   __CRT_INLINE float asinf(float _X) { return ((float)asin((double)_X)); }
 195   __CRT_INLINE float atanf(float _X) { return ((float)atan((double)_X)); }
 196   __CRT_INLINE float atan2f(float _X,float _Y) { return ((float)atan2((double)_X,(double)_Y)); }
 197   __CRT_INLINE float ceilf(float _X) { return ((float)ceil((double)_X)); }
 198   __CRT_INLINE float cosf(float _X) { return ((float)cos((double)_X)); }
 199   __CRT_INLINE float coshf(float _X) { return ((float)cosh((double)_X)); }
 200   __CRT_INLINE float expf(float _X) { return ((float)exp((double)_X)); }
 201   __CRT_INLINE float floorf(float _X) { return ((float)floor((double)_X)); }
 202   __CRT_INLINE float fmodf(float _X,float _Y) { return ((float)fmod((double)_X,(double)_Y)); }
 203   __CRT_INLINE float logf(float _X) { return ((float)log((double)_X)); }
 204   __CRT_INLINE float log10f(float _X) { return ((float)log10((double)_X)); }
 205   __CRT_INLINE float modff(float _X,float *_Y) {
 206     double _Di,_Df = modf((double)_X,&_Di);
 207     *_Y = (float)_Di;
 208     return ((float)_Df);
 209   }
 210   __CRT_INLINE float powf(float _X,float _Y) { return ((float)pow((double)_X,(double)_Y)); }
 211   __CRT_INLINE float sinf(float _X) { return ((float)sin((double)_X)); }
 212   __CRT_INLINE float sinhf(float _X) { return ((float)sinh((double)_X)); }
 213   __CRT_INLINE float sqrtf(float _X) { return ((float)sqrt((double)_X)); }
 214   __CRT_INLINE float tanf(float _X) { return ((float)tan((double)_X)); }
 215   __CRT_INLINE float tanhf(float _X) { return ((float)tanh((double)_X)); }
 216 #endif
 217 #endif
 218 #endif
 219
 220 #ifndef NO_OLDNAMES
 221 #define DOMAIN _DOMAIN
 222 #define SING _SING
 223 #define OVERFLOW _OVERFLOW
 224 #define UNDERFLOW _UNDERFLOW
 225 #define TLOSS _TLOSS
 226 #define PLOSS _PLOSS
 227 #define matherr _matherr
 228
 229 #define HUGE    _HUGE
 230   /*    double __cdecl cabs(struct _complex _X); */
 231   double __cdecl hypot(double _X,double _Y);
 232   _CRTIMP double __cdecl j0(double _X);
 233   _CRTIMP double __cdecl j1(double _X);
 234   _CRTIMP double __cdecl jn(int _X,double _Y);
 235   _CRTIMP double __cdecl y0(double _X);
 236   _CRTIMP double __cdecl y1(double _X);
 237   _CRTIMP double __cdecl yn(int _X,double _Y);
 238 #endif
 239
 240 #ifndef __NO_ISOCEXT
 241 #if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) \
 242   || !defined __STRICT_ANSI__ || defined __GLIBCPP__
 243
 244 #define NAN (0.0F/0.0F)
 245 #define HUGE_VALF (1.0F/0.0F)
 246 #define HUGE_VALL (1.0L/0.0L)
 247 #define INFINITY (1.0F/0.0F)
 248
 249
 250 #define FP_NAN          0x0100
 251 #define FP_NORMAL       0x0400
 252 #define FP_INFINITE     (FP_NAN | FP_NORMAL)
 253 #define FP_ZERO         0x4000
 254 #define FP_SUBNORMAL    (FP_NORMAL | FP_ZERO)
 255   /* 0x0200 is signbit mask */
 256
 257
 258   /*
 259   We can't __CRT_INLINE float or double, because we want to ensure truncation
 260   to semantic type before classification.
 261   (A normal long double value might become subnormal when
 262   converted to double, and zero when converted to float.)
 263   */
 264
 265   extern int __cdecl __fpclassifyf (float);
 266   extern int __cdecl __fpclassify (double);
 267
 268   __CRT_INLINE int __cdecl __fpclassifyl (long double x){
 269     unsigned short sw;
 270     __asm__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
 271     return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
 272   }
 273
 274 #define fpclassify(x) (sizeof (x) == sizeof (float) ? __fpclassifyf (x)   \
 275   : sizeof (x) == sizeof (double) ? __fpclassify (x) \
 276   : __fpclassifyl (x))
 277
 278   /* 7.12.3.2 */
 279 #define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
 280
 281   /* 7.12.3.3 */
 282 #define isinf(x) (fpclassify(x) == FP_INFINITE)
 283
 284   /* 7.12.3.4 */
 285   /* We don't need to worry about trucation here:
 286   A NaN stays a NaN. */
 287
 288   __CRT_INLINE int __cdecl __isnan (double _x)
 289   {
 290     unsigned short sw;
 291     __asm__ ("fxam;"
 292       "fstsw %%ax": "=a" (sw) : "t" (_x));
 293     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 294       == FP_NAN;
 295   }
 296
 297   __CRT_INLINE int __cdecl __isnanf (float _x)
 298   {
 299     unsigned short sw;
 300     __asm__ ("fxam;"
 301       "fstsw %%ax": "=a" (sw) : "t" (_x));
 302     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 303       == FP_NAN;
 304   }
 305
 306   __CRT_INLINE int __cdecl __isnanl (long double _x)
 307   {
 308     unsigned short sw;
 309     __asm__ ("fxam;"
 310       "fstsw %%ax": "=a" (sw) : "t" (_x));
 311     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 312       == FP_NAN;
 313   }
 314
 315
 316 #define isnan(x) (sizeof (x) == sizeof (float) ? __isnanf (x)   \
 317   : sizeof (x) == sizeof (double) ? __isnan (x) \
 318   : __isnanl (x))
 319
 320   /* 7.12.3.5 */
 321 #define isnormal(x) (fpclassify(x) == FP_NORMAL)
 322
 323   /* 7.12.3.6 The signbit macro */
 324   __CRT_INLINE int __cdecl __signbit (double x) {
 325     unsigned short stw;
 326     __asm__ ( "fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
 327     return stw & 0x0200;
 328   }
 329
 330   __CRT_INLINE int __cdecl __signbitf (float x) {
 331     unsigned short stw;
 332     __asm__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
 333     return stw & 0x0200;
 334   }
 335
 336   __CRT_INLINE int __cdecl __signbitl (long double x) {
 337     unsigned short stw;
 338     __asm__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
 339     return stw & 0x0200;
 340   }
 341
 342 #define signbit(x) (sizeof (x) == sizeof (float) ? __signbitf (x)       \
 343   : sizeof (x) == sizeof (double) ? __signbit (x)       \
 344   : __signbitl (x))
 345
 346   extern double __cdecl exp2(double);
 347   extern float __cdecl exp2f(float);
 348   extern long double __cdecl exp2l(long double);
 349
 350 #define FP_ILOGB0 ((int)0x80000000)
 351 #define FP_ILOGBNAN ((int)0x80000000)
 352   extern int __cdecl ilogb (double);
 353   extern int __cdecl ilogbf (float);
 354   extern int __cdecl ilogbl (long double);
 355
 356   extern double __cdecl log1p(double);
 357   extern float __cdecl log1pf(float);
 358   extern long double __cdecl log1pl(long double);
 359
 360   extern double __cdecl log2 (double);
 361   extern float __cdecl log2f (float);
 362   extern long double __cdecl log2l (long double);
 363
 364   extern double __cdecl logb (double);
 365   extern float __cdecl logbf (float);
 366   extern long double __cdecl logbl (long double);
 367
 368   __CRT_INLINE double __cdecl logb (double x)
 369   {
 370     double res;
 371     __asm__ ("fxtract\n\t"
 372       "fstp     %%st" : "=t" (res) : "0" (x));
 373     return res;
 374   }
 375
 376   __CRT_INLINE float __cdecl logbf (float x)
 377   {
 378     float res;
 379     __asm__ ("fxtract\n\t"
 380       "fstp     %%st" : "=t" (res) : "0" (x));
 381     return res;
 382   }
 383
 384   __CRT_INLINE long double __cdecl logbl (long double x)
 385   {
 386     long double res;
 387     __asm__ ("fxtract\n\t"
 388       "fstp     %%st" : "=t" (res) : "0" (x));
 389     return res;
 390   }
 391
 392   extern long double __cdecl modfl (long double, long double*);
 393
 394   /* 7.12.6.13 */
 395   extern double __cdecl scalbn (double, int);
 396   extern float __cdecl scalbnf (float, int);
 397   extern long double __cdecl scalbnl (long double, int);
 398
 399   extern double __cdecl scalbln (double, long);
 400   extern float __cdecl scalblnf (float, long);
 401   extern long double __cdecl scalblnl (long double, long);
 402
 403   /* 7.12.7.1 */
 404   /* Implementations adapted from Cephes versions */
 405   extern double __cdecl cbrt (double);
 406   extern float __cdecl cbrtf (float);
 407   extern long double __cdecl cbrtl (long double);
 408
 409   __CRT_INLINE float __cdecl hypotf (float x, float y)
 410   { return (float) hypot (x, y);}
 411   extern long double __cdecl hypotl (long double, long double);
 412
 413   extern long double __cdecl powl (long double, long double);
 414   extern long double __cdecl expl(long double);
 415   extern long double expm1l(long double);
 416   extern long double __cdecl coshl(long double);
 417   extern long double __cdecl fabsl (long double);
 418   extern long double __cdecl acosl(long double);
 419   extern long double __cdecl asinl(long double);
 420   extern long double __cdecl atanl(long double);
 421   extern long double __cdecl atan2l(long double,long double);
 422   extern long double __cdecl sinhl(long double);
 423   extern long double __cdecl tanhl(long double);
 424
 425   /* 7.12.8.1 The erf functions  */
 426   extern double __cdecl erf (double);
 427   extern float __cdecl erff (float);
 428   /* TODO
 429   extern long double __cdecl erfl (long double);
 430   */
 431
 432   /* 7.12.8.2 The erfc functions  */
 433   extern double __cdecl erfc (double);
 434   extern float __cdecl erfcf (float);
 435   /* TODO
 436   extern long double __cdecl erfcl (long double);
 437   */
 438
 439   /* 7.12.8.3 The lgamma functions */
 440   extern double __cdecl lgamma (double);
 441   extern float __cdecl lgammaf (float);
 442   extern long double __cdecl lgammal (long double);
 443
 444   /* 7.12.8.4 The tgamma functions */
 445   extern double __cdecl tgamma (double);
 446   extern float __cdecl tgammaf (float);
 447   extern long double __cdecl tgammal (long double);
 448
 449   extern long double __cdecl ceill (long double);
 450   extern long double __cdecl floorl (long double);
 451   extern long double __cdecl frexpl(long double,int *);
 452   extern long double __cdecl log10l(long double);
 453   extern long double __cdecl logl(long double);
 454   extern long double __cdecl cosl(long double);
 455   extern long double __cdecl sinl(long double);
 456   extern long double __cdecl tanl(long double);
 457   extern long double sqrtl(long double);
 458
 459   /* 7.12.9.3 */
 460   extern double __cdecl nearbyint ( double);
 461   extern float __cdecl nearbyintf (float);
 462   extern long double __cdecl nearbyintl (long double);
 463
 464   /* 7.12.9.4 */
 465   /* round, using fpu control word settings */
 466   __CRT_INLINE double __cdecl rint (double x)
 467   {
 468     double retval;
 469     __asm__ ("frndint;": "=t" (retval) : "0" (x));
 470     return retval;
 471   }
 472
 473   __CRT_INLINE float __cdecl rintf (float x)
 474   {
 475     float retval;
 476     __asm__ ("frndint;" : "=t" (retval) : "0" (x) );
 477     return retval;
 478   }
 479
 480   __CRT_INLINE long double __cdecl rintl (long double x)
 481   {
 482     long double retval;
 483     __asm__ ("frndint;" : "=t" (retval) : "0" (x) );
 484     return retval;
 485   }
 486
 487   /* 7.12.9.5 */
 488   __CRT_INLINE long __cdecl lrint (double x)
 489   {
 490     long retval;
 491     __asm__ __volatile__                                                              \
 492       ("fistpl %0"  : "=m" (retval) : "t" (x) : "st");                                \
 493       return retval;
 494   }
 495
 496   __CRT_INLINE long __cdecl lrintf (float x)
 497   {
 498     long retval;
 499     __asm__ __volatile__                                                              \
 500       ("fistpl %0"  : "=m" (retval) : "t" (x) : "st");                                \
 501       return retval;
 502   }
 503
 504   __CRT_INLINE long __cdecl lrintl (long double x)
 505   {
 506     long retval;
 507     __asm__ __volatile__                                                              \
 508       ("fistpl %0"  : "=m" (retval) : "t" (x) : "st");                                \
 509       return retval;
 510   }
 511
 512   __CRT_INLINE long long __cdecl llrint (double x)
 513   {
 514     long long retval;
 515     __asm__ __volatile__                                                              \
 516       ("fistpll %0"  : "=m" (retval) : "t" (x) : "st");                               \
 517       return retval;
 518   }
 519
 520   __CRT_INLINE long long __cdecl llrintf (float x)
 521   {
 522     long long retval;
 523     __asm__ __volatile__                                                              \
 524       ("fistpll %0"  : "=m" (retval) : "t" (x) : "st");                               \
 525       return retval;
 526   }
 527
 528   __CRT_INLINE long long __cdecl llrintl (long double x)
 529   {
 530     long long retval;
 531     __asm__ __volatile__                                                              \
 532       ("fistpll %0"  : "=m" (retval) : "t" (x) : "st");                               \
 533       return retval;
 534   }
 535
 536   /* 7.12.9.6 */
 537   /* round away from zero, regardless of fpu control word settings */
 538   extern double __cdecl round (double);
 539   extern float __cdecl roundf (float);
 540   extern long double __cdecl roundl (long double);
 541
 542   /* 7.12.9.7  */
 543   extern long __cdecl lround (double);
 544   extern long __cdecl lroundf (float);
 545   extern long __cdecl lroundl (long double);
 546
 547   extern long long __cdecl llround (double);
 548   extern long long __cdecl llroundf (float);
 549   extern long long __cdecl llroundl (long double);
 550
 551   /* 7.12.9.8 */
 552   /* round towards zero, regardless of fpu control word settings */
 553   extern double __cdecl trunc (double);
 554   extern float __cdecl truncf (float);
 555   extern long double __cdecl truncl (long double);
 556
 557   extern long double __cdecl fmodl (long double, long double);
 558
 559   /* 7.12.10.2 */
 560   extern double __cdecl remainder (double, double);
 561   extern float __cdecl remainderf (float, float);
 562   extern long double __cdecl remainderl (long double, long double);
 563
 564   /* 7.12.10.3 */
 565   extern double __cdecl remquo(double, double, int *);
 566   extern float __cdecl remquof(float, float, int *);
 567   extern long double __cdecl remquol(long double, long double, int *);
 568
 569   /* 7.12.11.1 */
 570   extern double __cdecl copysign (double, double); /* in libmoldname.a */
 571   extern float __cdecl copysignf (float, float);
 572   extern long double __cdecl copysignl (long double, long double);
 573
 574   /* 7.12.11.2 Return a NaN */
 575   extern double __cdecl nan(const char *tagp);
 576   extern float __cdecl nanf(const char *tagp);
 577   extern long double __cdecl nanl(const char *tagp);
 578
 579 #ifndef __STRICT_ANSI__
 580 #define _nan() nan("")
 581 #define _nanf() nanf("")
 582 #define _nanl() nanl("")
 583 #endif
 584
 585   /* 7.12.11.3 */
 586   extern double __cdecl nextafter (double, double); /* in libmoldname.a */
 587   extern float __cdecl nextafterf (float, float);
 588   extern long double __cdecl nextafterl (long double, long double);
 589
 590   /* 7.12.11.4 The nexttoward functions: TODO */
 591
 592   /* 7.12.12.1 */
 593   /*  x > y ? (x - y) : 0.0  */
 594   extern double __cdecl fdim (double x, double y);
 595   extern float __cdecl fdimf (float x, float y);
 596   extern long double __cdecl fdiml (long double x, long double y);
 597
 598   /* fmax and fmin.
 599   NaN arguments are treated as missing data: if one argument is a NaN
 600   and the other numeric, then these functions choose the numeric
 601   value. */
 602
 603   /* 7.12.12.2 */
 604   extern double __cdecl fmax  (double, double);
 605   extern float __cdecl fmaxf (float, float);
 606   extern long double __cdecl fmaxl (long double, long double);
 607
 608   /* 7.12.12.3 */
 609   extern double __cdecl fmin (double, double);
 610   extern float __cdecl fminf (float, float);
 611   extern long double __cdecl fminl (long double, long double);
 612
 613   /* 7.12.13.1 */
 614   /* return x * y + z as a ternary op */
 615   extern double __cdecl fma (double, double, double);
 616   extern float __cdecl fmaf (float, float, float);
 617   extern long double __cdecl fmal (long double, long double, long double);
 618
 619
 620   /* 7.12.14 */
 621   /*
 622   *  With these functions, comparisons involving quiet NaNs set the FP
 623   *  condition code to "unordered".  The IEEE floating-point spec
 624   *  dictates that the result of floating-point comparisons should be
 625   *  false whenever a NaN is involved, with the exception of the != op,
 626   *  which always returns true: yes, (NaN != NaN) is true).
 627   */
 628
 629 #if __GNUC__ >= 3
 630
 631 #define isgreater(x, y) __builtin_isgreater(x, y)
 632 #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
 633 #define isless(x, y) __builtin_isless(x, y)
 634 #define islessequal(x, y) __builtin_islessequal(x, y)
 635 #define islessgreater(x, y) __builtin_islessgreater(x, y)
 636 #define isunordered(x, y) __builtin_isunordered(x, y)
 637
 638 #else
 639   /*  helper  */
 640   __CRT_INLINE int  __cdecl
 641     __fp_unordered_compare (long double x, long double y){
 642       unsigned short retval;
 643       __asm__ ("fucom %%st(1);"
 644         "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
 645       return retval;
 646   }
 647
 648 #define isgreater(x, y) ((__fp_unordered_compare(x, y) \
 649   & 0x4500) == 0)
 650 #define isless(x, y) ((__fp_unordered_compare (y, x) \
 651   & 0x4500) == 0)
 652 #define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) \
 653   & FP_INFINITE) == 0)
 654 #define islessequal(x, y) ((__fp_unordered_compare(y, x) \
 655   & FP_INFINITE) == 0)
 656 #define islessgreater(x, y) ((__fp_unordered_compare(x, y) \
 657   & FP_SUBNORMAL) == 0)
 658 #define isunordered(x, y) ((__fp_unordered_compare(x, y) \
 659   & 0x4500) == 0x4500)
 660
 661 #endif
 662
 663
 664 #endif /* __STDC_VERSION__ >= 199901L */
 665 #endif /* __NO_ISOCEXT */
 666
 667 #ifdef __cplusplus
 668 }
 669 extern "C++" {
 670   template<class _Ty> inline _Ty _Pow_int(_Ty _X,int _Y) {
 671     unsigned int _N;
 672     if(_Y >= 0) _N = (unsigned int)_Y;
 673     else _N = (unsigned int)(-_Y);
 674     for(_Ty _Z = _Ty(1);;_X *= _X) {
 675       if((_N & 1)!=0) _Z *= _X;
 676       if((_N >>= 1)==0) return (_Y < 0 ? _Ty(1) / _Z : _Z);
 677     }
 678   }
 679 }
 680 #endif
 681
 682 #pragma pack(pop)
 683
 684 #if !defined(__STRICT_ANSI__) && !defined(_MATH_DEFINES_DEFINED)
 685 #define _MATH_DEFINES_DEFINED
 686
 687 #define M_E 2.71828182845904523536
 688 #define M_LOG2E 1.44269504088896340736
 689 #define M_LOG10E 0.434294481903251827651
 690 #define M_LN2 0.693147180559945309417
 691 #define M_LN10 2.30258509299404568402
 692 #define M_PI 3.14159265358979323846
 693 #define M_PI_2 1.57079632679489661923
 694 #define M_PI_4 0.785398163397448309616
 695 #define M_1_PI 0.318309886183790671538
 696 #define M_2_PI 0.636619772367581343076
 697 #define M_2_SQRTPI 1.12837916709551257390
 698 #define M_SQRT2 1.41421356237309504880
 699 #define M_SQRT1_2 0.707106781186547524401
 700 #endif
 701
 702 #ifndef __MINGW_FPCLASS_DEFINED
 703 #define __MINGW_FPCLASS_DEFINED 1
 704 #define _FPCLASS_SNAN   0x0001  /* Signaling "Not a Number" */
 705 #define _FPCLASS_QNAN   0x0002  /* Quiet "Not a Number" */
 706 #define _FPCLASS_NINF   0x0004  /* Negative Infinity */
 707 #define _FPCLASS_NN     0x0008  /* Negative Normal */
 708 #define _FPCLASS_ND     0x0010  /* Negative Denormal */
 709 #define _FPCLASS_NZ     0x0020  /* Negative Zero */
 710 #define _FPCLASS_PZ     0x0040  /* Positive Zero */
 711 #define _FPCLASS_PD     0x0080  /* Positive Denormal */
 712 #define _FPCLASS_PN     0x0100  /* Positive Normal */
 713 #define _FPCLASS_PINF   0x0200  /* Positive Infinity */
 714 #endif /* __MINGW_FPCLASS_DEFINED */
 715
 716 /* 7.12.14 */
 717 /*
 718  *  With these functions, comparisons involving quiet NaNs set the FP
 719  *  condition code to "unordered".  The IEEE floating-point spec
 720  *  dictates that the result of floating-point comparisons should be
 721  *  false whenever a NaN is involved, with the exception of the != op,
 722  *  which always returns true: yes, (NaN != NaN) is true).
 723  */
 724
 725 #if __GNUC__ >= 3
 726
 727 #define isgreater(x, y) __builtin_isgreater(x, y)
 728 #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
 729 #define isless(x, y) __builtin_isless(x, y)
 730 #define islessequal(x, y) __builtin_islessequal(x, y)
 731 #define islessgreater(x, y) __builtin_islessgreater(x, y)
 732 #define isunordered(x, y) __builtin_isunordered(x, y)
 733
 734 #else
 735 /*  helper  */
 736 __CRT_INLINE int  __cdecl
 737 __fp_unordered_compare (long double x, long double y){
 738   unsigned short retval;
 739   __asm__ ("fucom %%st(1);"
 740            "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
 741   return retval;
 742 }
 743
 744 #define isgreater(x, y) ((__fp_unordered_compare(x, y) \
 745                            & 0x4500) == 0)
 746 #define isless(x, y) ((__fp_unordered_compare (y, x) \
 747                        & 0x4500) == 0)
 748 #define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) \
 749                                & FP_INFINITE) == 0)
 750 #define islessequal(x, y) ((__fp_unordered_compare(y, x) \
 751                             & FP_INFINITE) == 0)
 752 #define islessgreater(x, y) ((__fp_unordered_compare(x, y) \
 753                               & FP_SUBNORMAL) == 0)
 754 #define isunordered(x, y) ((__fp_unordered_compare(x, y) \
 755                             & 0x4500) == 0x4500)
 756
 757 #endif
 758
 759 #endif /* !_INC_MATH */