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(__i386__) || defined(_M_IX86)
 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__) && !defined(_M_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 #if defined(__GNUC__)
 146
 147 #define __fabs(x, res) \
 148   __asm__ ("fabs;" : "=t" (res) : "0" (x))
 149
 150 #elif defined(_MSC_VER)
 151
 152 #define __fabs(x, res) \
 153   __asm { fld [(x)] } \
 154   __asm { fabs } \
 155   __asm { fstp [(res)] }
 156
 157 #endif
 158
 159   __CRT_INLINE long double __cdecl fabsl (long double x)
 160   {
 161     long double res;
 162     __fabs(x, res);
 163     return res;
 164   }
 165
 166   __CRT_INLINE long double _chgsignl(long double _Number) { return _chgsign((double)(_Number)); }
 167   __CRT_INLINE long double _copysignl(long double _Number,long double _Sign) { return _copysign((double)(_Number),(double)(_Sign)); }
 168   __CRT_INLINE long double _hypotl(long double _X,long double _Y) { return _hypot((double)(_X),(double)(_Y)); }
 169   __CRT_INLINE float frexpf(float _X,int *_Y) { return ((float)frexp((double)_X,_Y)); }
 170
 171 #if !defined (__ia64__) && !defined (_M_IA64)
 172   __CRT_INLINE float __cdecl fabsf (float x)
 173   {
 174     float res;
 175     __fabs(x, res);
 176     return res;
 177   }
 178
 179   __CRT_INLINE float __cdecl ldexpf (float x, int expn) { return (float) ldexp (x, expn); }
 180 #endif
 181
 182 #define _matherrl _matherr
 183
 184   __CRT_INLINE long double modfl(long double _X,long double *_Y) {
 185     double _Di,_Df = modf((double)_X,&_Di);
 186     *_Y = (long double)_Di;
 187     return (_Df);
 188   }
 189
 190 #if !defined(__x86_64) && !defined(_M_AMD64)
 191   __CRT_INLINE float acosf(float _X) { return ((float)acos((double)_X)); }
 192   __CRT_INLINE float asinf(float _X) { return ((float)asin((double)_X)); }
 193   __CRT_INLINE float atanf(float _X) { return ((float)atan((double)_X)); }
 194   __CRT_INLINE float atan2f(float _X,float _Y) { return ((float)atan2((double)_X,(double)_Y)); }
 195   __CRT_INLINE float ceilf(float _X) { return ((float)ceil((double)_X)); }
 196   __CRT_INLINE float cosf(float _X) { return ((float)cos((double)_X)); }
 197   __CRT_INLINE float coshf(float _X) { return ((float)cosh((double)_X)); }
 198   __CRT_INLINE float expf(float _X) { return ((float)exp((double)_X)); }
 199   __CRT_INLINE float floorf(float _X) { return ((float)floor((double)_X)); }
 200   __CRT_INLINE float fmodf(float _X,float _Y) { return ((float)fmod((double)_X,(double)_Y)); }
 201   __CRT_INLINE float logf(float _X) { return ((float)log((double)_X)); }
 202   __CRT_INLINE float log10f(float _X) { return ((float)log10((double)_X)); }
 203   __CRT_INLINE float modff(float _X,float *_Y) {
 204     double _Di,_Df = modf((double)_X,&_Di);
 205     *_Y = (float)_Di;
 206     return ((float)_Df);
 207   }
 208   __CRT_INLINE float powf(float _X,float _Y) { return ((float)pow((double)_X,(double)_Y)); }
 209   __CRT_INLINE float sinf(float _X) { return ((float)sin((double)_X)); }
 210   __CRT_INLINE float sinhf(float _X) { return ((float)sinh((double)_X)); }
 211   __CRT_INLINE float sqrtf(float _X) { return ((float)sqrt((double)_X)); }
 212   __CRT_INLINE float tanf(float _X) { return ((float)tan((double)_X)); }
 213   __CRT_INLINE float tanhf(float _X) { return ((float)tanh((double)_X)); }
 214 #endif
 215
 216 #ifndef NO_OLDNAMES
 217 #define DOMAIN _DOMAIN
 218 #define SING _SING
 219 #define OVERFLOW _OVERFLOW
 220 #define UNDERFLOW _UNDERFLOW
 221 #define TLOSS _TLOSS
 222 #define PLOSS _PLOSS
 223 #define matherr _matherr
 224
 225 #define HUGE    _HUGE
 226   /*    double __cdecl cabs(struct _complex _X); */
 227   double __cdecl hypot(double _X,double _Y);
 228   __CRT_INLINE float __cdecl hypotf (float x, float y)
 229   { return (float) hypot (x, y);}
 230   _CRTIMP double __cdecl j0(double _X);
 231   _CRTIMP double __cdecl j1(double _X);
 232   _CRTIMP double __cdecl jn(int _X,double _Y);
 233   _CRTIMP double __cdecl y0(double _X);
 234   _CRTIMP double __cdecl y1(double _X);
 235   _CRTIMP double __cdecl yn(int _X,double _Y);
 236 #endif
 237
 238 #ifndef __NO_ISOCEXT
 239 #if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) \
 240   || !defined __STRICT_ANSI__ || defined __GLIBCPP__
 241
 242 #if !defined(_MSC_VER)
 243 #define NAN (0.0F/0.0F)
 244 #define HUGE_VALF (1.0F/0.0F)
 245 #define HUGE_VALL (1.0L/0.0L)
 246 #define INFINITY (1.0F/0.0F)
 247 #endif
 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 #if defined(__GNUC__)
 258
 259 #define __fxam(x, sw) \
 260         __asm__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x))
 261
 262 #elif defined(_MSC_VER)
 263
 264 #define __fxam(x, sw) \
 265     __asm { fld [(x)] } \
 266     __asm { fxam } \
 267     __asm { wait } \
 268     __asm { fnstsw [(sw)] } \
 269     __asm { fstp st(0) }
 270
 271 #endif
 272
 273   /*
 274   We can't __CRT_INLINE float or double, because we want to ensure truncation
 275   to semantic type before classification.
 276   (A normal long double value might become subnormal when
 277   converted to double, and zero when converted to float.)
 278   */
 279
 280   extern int __cdecl __fpclassifyf (float);
 281   extern int __cdecl __fpclassify (double);
 282
 283   __CRT_INLINE int __cdecl __fpclassifyl (long double x){
 284     unsigned short sw;
 285     __fxam(x, sw);
 286     return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
 287   }
 288
 289   __CRT_INLINE int __cdecl __fpclassify (double x){
 290     return __fpclassifyl((long double)x);
 291   }
 292
 293 #define fpclassify(x) (sizeof (x) == sizeof (float) ? __fpclassifyf (x)   \
 294   : sizeof (x) == sizeof (double) ? __fpclassify (x) \
 295   : __fpclassifyl (x))
 296
 297   /* 7.12.3.2 */
 298 #define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
 299
 300   /* 7.12.3.3 */
 301 /* #define isinf(x) (fpclassify(x) == FP_INFINITE) */
 302
 303   /* we don't have fpclassify */
 304 __CRT_INLINE int isinf (double d) {
 305   int expon = 0;
 306   double val = frexp (d, &expon);
 307   if (expon == 1025) {
 308     if (val == 0.5) {
 309         return 1;
 310     } else if (val == -0.5) {
 311         return -1;
 312     } else {
 313         return 0;
 314     }
 315   } else {
 316     return 0;
 317   }
 318 }
 319
 320   /* 7.12.3.4 */
 321   /* We don't need to worry about truncation here:
 322   A NaN stays a NaN. */
 323
 324   __CRT_INLINE int __cdecl __isnan (double _x)
 325   {
 326     unsigned short sw;
 327     __fxam(_x, sw);
 328     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 329       == FP_NAN;
 330   }
 331
 332   __CRT_INLINE int __cdecl __isnanf (float _x)
 333   {
 334     unsigned short sw;
 335     __fxam(_x, sw);
 336     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 337       == FP_NAN;
 338   }
 339
 340   __CRT_INLINE int __cdecl __isnanl (long double _x)
 341   {
 342     unsigned short sw;
 343     __fxam(_x, sw);
 344     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 345       == FP_NAN;
 346   }
 347
 348
 349 #define isnan(x) (sizeof (x) == sizeof (float) ? __isnanf (x)   \
 350   : sizeof (x) == sizeof (double) ? __isnan (x) \
 351   : __isnanl (x))
 352
 353   /* 7.12.3.5 */
 354 #define isnormal(x) (fpclassify(x) == FP_NORMAL)
 355
 356   /* 7.12.3.6 The signbit macro */
 357   __CRT_INLINE int __cdecl __signbit (double x) {
 358     unsigned short stw;
 359     __fxam(x, stw);
 360     return stw & 0x0200;
 361   }
 362
 363   __CRT_INLINE int __cdecl __signbitf (float x) {
 364     unsigned short stw;
 365     __fxam(x, stw);
 366     return stw & 0x0200;
 367   }
 368
 369   __CRT_INLINE int __cdecl __signbitl (long double x) {
 370     unsigned short stw;
 371     __fxam(x, stw);
 372     return stw & 0x0200;
 373   }
 374
 375 #define signbit(x) (sizeof (x) == sizeof (float) ? __signbitf (x)       \
 376   : sizeof (x) == sizeof (double) ? __signbit (x)       \
 377   : __signbitl (x))
 378
 379   extern double __cdecl exp2(double);
 380   extern float __cdecl exp2f(float);
 381   extern long double __cdecl exp2l(long double);
 382
 383 #define FP_ILOGB0 ((int)0x80000000)
 384 #define FP_ILOGBNAN ((int)0x80000000)
 385   extern int __cdecl ilogb (double);
 386   extern int __cdecl ilogbf (float);
 387   extern int __cdecl ilogbl (long double);
 388
 389   extern double __cdecl log1p(double);
 390   extern float __cdecl log1pf(float);
 391   extern long double __cdecl log1pl(long double);
 392
 393   extern double __cdecl log2 (double);
 394   extern float __cdecl log2f (float);
 395   extern long double __cdecl log2l (long double);
 396
 397   extern double __cdecl logb (double);
 398   extern float __cdecl logbf (float);
 399   extern long double __cdecl logbl (long double);
 400
 401 #if defined(__GNUC__)
 402
 403 #define __fxtract(x, res) \
 404     __asm__ ("fxtract\n\t" \
 405       "fstp     %%st" : "=t" (res) : "0" (x))
 406
 407 #elif defined(_MSC_VER)
 408
 409 #define __fxtract(x, res) \
 410     __asm { fld [(x)] } \
 411     __asm { fxtract } \
 412     __asm { fstp st(0) } \
 413     __asm { fstp [(res)] }
 414
 415 #endif
 416
 417   __CRT_INLINE double __cdecl logb (double x)
 418   {
 419     double res;
 420     __fxtract(x, res);
 421     return res;
 422   }
 423
 424   __CRT_INLINE float __cdecl logbf (float x)
 425   {
 426     float res;
 427     __fxtract(x, res);
 428     return res;
 429   }
 430
 431   __CRT_INLINE long double __cdecl logbl (long double x)
 432   {
 433     long double res;
 434     __fxtract(x, res);
 435     return res;
 436   }
 437
 438   extern long double __cdecl modfl (long double, long double*);
 439
 440   /* 7.12.6.13 */
 441   extern double __cdecl scalbn (double, int);
 442   extern float __cdecl scalbnf (float, int);
 443   extern long double __cdecl scalbnl (long double, int);
 444
 445   extern double __cdecl scalbln (double, long);
 446   extern float __cdecl scalblnf (float, long);
 447   extern long double __cdecl scalblnl (long double, long);
 448
 449   /* 7.12.7.1 */
 450   /* Implementations adapted from Cephes versions */
 451   extern double __cdecl cbrt (double);
 452   extern float __cdecl cbrtf (float);
 453   extern long double __cdecl cbrtl (long double);
 454
 455   extern long double __cdecl hypotl (long double, long double);
 456
 457   extern long double __cdecl powl (long double, long double);
 458   extern long double __cdecl expl(long double);
 459   extern long double expm1l(long double);
 460   extern long double __cdecl coshl(long double);
 461   extern long double __cdecl fabsl (long double);
 462   extern long double __cdecl acosl(long double);
 463   extern long double __cdecl asinl(long double);
 464   extern long double __cdecl atanl(long double);
 465   extern long double __cdecl atan2l(long double,long double);
 466   extern long double __cdecl sinhl(long double);
 467   extern long double __cdecl tanhl(long double);
 468
 469   /* 7.12.8.1 The erf functions  */
 470   extern double __cdecl erf (double);
 471   extern float __cdecl erff (float);
 472   /* TODO
 473   extern long double __cdecl erfl (long double);
 474   */
 475
 476   /* 7.12.8.2 The erfc functions  */
 477   extern double __cdecl erfc (double);
 478   extern float __cdecl erfcf (float);
 479   /* TODO
 480   extern long double __cdecl erfcl (long double);
 481   */
 482
 483   /* 7.12.8.3 The lgamma functions */
 484   extern double __cdecl lgamma (double);
 485   extern float __cdecl lgammaf (float);
 486   extern long double __cdecl lgammal (long double);
 487
 488   /* 7.12.8.4 The tgamma functions */
 489   extern double __cdecl tgamma (double);
 490   extern float __cdecl tgammaf (float);
 491   extern long double __cdecl tgammal (long double);
 492
 493   extern long double __cdecl ceill (long double);
 494   extern long double __cdecl floorl (long double);
 495   extern long double __cdecl frexpl(long double,int *);
 496   extern long double __cdecl log10l(long double);
 497   extern long double __cdecl logl(long double);
 498   extern long double __cdecl cosl(long double);
 499   extern long double __cdecl sinl(long double);
 500   extern long double __cdecl tanl(long double);
 501   extern long double sqrtl(long double);
 502
 503   /* 7.12.9.3 */
 504   extern double __cdecl nearbyint ( double);
 505   extern float __cdecl nearbyintf (float);
 506   extern long double __cdecl nearbyintl (long double);
 507
 508   /* 7.12.9.4 */
 509   /* round, using fpu control word settings */
 510 #if defined(__GNUC__)
 511
 512 #define __frndint(x, res) \
 513   __asm__ ("fabs;" : "=t" (res) : "0" (x))
 514
 515 #elif defined(_MSC_VER)
 516
 517 #define __frndint(x, res) \
 518   __asm { fld [(x)] } \
 519   __asm { frndint } \
 520   __asm { fstp [(res)] }
 521
 522 #endif
 523
 524   __CRT_INLINE double __cdecl rint (double x)
 525   {
 526     double retval;
 527     __frndint(x, retval);
 528     return retval;
 529   }
 530
 531   __CRT_INLINE float __cdecl rintf (float x)
 532   {
 533     float retval;
 534     __frndint(x, retval);
 535     return retval;
 536   }
 537
 538   __CRT_INLINE long double __cdecl rintl (long double x)
 539   {
 540     long double retval;
 541     __frndint(x, retval);
 542     return retval;
 543   }
 544
 545   /* 7.12.9.5 */
 546 #if defined(__GNUC__)
 547
 548 #define __fistpl(x, res) \
 549   __asm__ __volatile__("fistpl %0"  : "=m" (res) : "t" (x) : "st")
 550
 551 #define __fistpll(x, res) \
 552   __asm__ __volatile__("fistpll %0"  : "=m" (res) : "t" (x) : "st")
 553
 554 #elif defined(_MSC_VER)
 555
 556 #define __fistpl(x, res) \
 557   __asm { fld [(x)] } \
 558   __asm { fistp [(res)] }
 559
 560 #define __fistpll(x, res) \
 561   __asm { fld [(x)] } \
 562   __asm { fistp [(res)] }
 563
 564 #endif
 565
 566   __CRT_INLINE long __cdecl lrint (double x)
 567   {
 568     long retval;
 569     __fistpl(x, retval);
 570     return retval;
 571   }
 572
 573   __CRT_INLINE long __cdecl lrintf (float x)
 574   {
 575     long retval;
 576     __fistpl(x, retval);
 577     return retval;
 578   }
 579
 580   __CRT_INLINE long __cdecl lrintl (long double x)
 581   {
 582     long retval;
 583     __fistpl(x, retval);
 584     return retval;
 585   }
 586
 587   __CRT_INLINE long long __cdecl llrint (double x)
 588   {
 589     long long retval;
 590     __fistpll(x, retval);
 591     return retval;
 592   }
 593
 594   __CRT_INLINE long long __cdecl llrintf (float x)
 595   {
 596     long long retval;
 597     __fistpll(x, retval);
 598     return retval;
 599   }
 600
 601   __CRT_INLINE long long __cdecl llrintl (long double x)
 602   {
 603     long long retval;
 604     __fistpll(x, retval);
 605     return retval;
 606   }
 607
 608   /* 7.12.9.6 */
 609   /* round away from zero, regardless of fpu control word settings */
 610   extern double __cdecl round (double);
 611   extern float __cdecl roundf (float);
 612   extern long double __cdecl roundl (long double);
 613
 614   /* 7.12.9.7  */
 615   extern long __cdecl lround (double);
 616   extern long __cdecl lroundf (float);
 617   extern long __cdecl lroundl (long double);
 618
 619   extern long long __cdecl llround (double);
 620   extern long long __cdecl llroundf (float);
 621   extern long long __cdecl llroundl (long double);
 622
 623   /* 7.12.9.8 */
 624   /* round towards zero, regardless of fpu control word settings */
 625   extern double __cdecl trunc (double);
 626   extern float __cdecl truncf (float);
 627   extern long double __cdecl truncl (long double);
 628
 629   extern long double __cdecl fmodl (long double, long double);
 630
 631   /* 7.12.10.2 */
 632   extern double __cdecl remainder (double, double);
 633   extern float __cdecl remainderf (float, float);
 634   extern long double __cdecl remainderl (long double, long double);
 635
 636   /* 7.12.10.3 */
 637   extern double __cdecl remquo(double, double, int *);
 638   extern float __cdecl remquof(float, float, int *);
 639   extern long double __cdecl remquol(long double, long double, int *);
 640
 641   /* 7.12.11.1 */
 642   extern double __cdecl copysign (double, double); /* in libmoldname.a */
 643   extern float __cdecl copysignf (float, float);
 644   extern long double __cdecl copysignl (long double, long double);
 645
 646   /* 7.12.11.2 Return a NaN */
 647   extern double __cdecl nan(const char *tagp);
 648   extern float __cdecl nanf(const char *tagp);
 649   extern long double __cdecl nanl(const char *tagp);
 650
 651 #ifndef __STRICT_ANSI__
 652 #define _nan() nan("")
 653 #define _nanf() nanf("")
 654 #define _nanl() nanl("")
 655 #endif
 656
 657   /* 7.12.11.3 */
 658   extern double __cdecl nextafter (double, double); /* in libmoldname.a */
 659   extern float __cdecl nextafterf (float, float);
 660   extern long double __cdecl nextafterl (long double, long double);
 661
 662   /* 7.12.11.4 The nexttoward functions: TODO */
 663
 664   /* 7.12.12.1 */
 665   /*  x > y ? (x - y) : 0.0  */
 666   extern double __cdecl fdim (double x, double y);
 667   extern float __cdecl fdimf (float x, float y);
 668   extern long double __cdecl fdiml (long double x, long double y);
 669
 670   /* fmax and fmin.
 671   NaN arguments are treated as missing data: if one argument is a NaN
 672   and the other numeric, then these functions choose the numeric
 673   value. */
 674
 675   /* 7.12.12.2 */
 676   extern double __cdecl fmax  (double, double);
 677   extern float __cdecl fmaxf (float, float);
 678   extern long double __cdecl fmaxl (long double, long double);
 679
 680   /* 7.12.12.3 */
 681   extern double __cdecl fmin (double, double);
 682   extern float __cdecl fminf (float, float);
 683   extern long double __cdecl fminl (long double, long double);
 684
 685   /* 7.12.13.1 */
 686   /* return x * y + z as a ternary op */
 687   extern double __cdecl fma (double, double, double);
 688   extern float __cdecl fmaf (float, float, float);
 689   extern long double __cdecl fmal (long double, long double, long double);
 690
 691
 692   /* 7.12.14 */
 693   /*
 694   *  With these functions, comparisons involving quiet NaNs set the FP
 695   *  condition code to "unordered".  The IEEE floating-point spec
 696   *  dictates that the result of floating-point comparisons should be
 697   *  false whenever a NaN is involved, with the exception of the != op,
 698   *  which always returns true: yes, (NaN != NaN) is true).
 699   */
 700
 701 #if defined(__GNUC__) && __GNUC__ >= 3
 702
 703 #define isgreater(x, y) __builtin_isgreater(x, y)
 704 #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
 705 #define isless(x, y) __builtin_isless(x, y)
 706 #define islessequal(x, y) __builtin_islessequal(x, y)
 707 #define islessgreater(x, y) __builtin_islessgreater(x, y)
 708 #define isunordered(x, y) __builtin_isunordered(x, y)
 709
 710 #else
 711   /*  helper  */
 712   __CRT_INLINE int  __cdecl
 713     __fp_unordered_compare (long double x, long double y){
 714       unsigned short retval;
 715 #if defined(__GNUC__)
 716       __asm__ ("fucom %%st(1);"
 717         "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
 718 #elif defined(_MSC_VER)
 719       __asm {
 720         fld [x]
 721         fld [y]
 722         fxch st(1)
 723         fucom st(1)
 724         fnstsw [retval]
 725         fstp st(0)
 726         fstp st(0)
 727       }
 728 #endif
 729       return retval;
 730   }
 731
 732 #define isgreater(x, y) ((__fp_unordered_compare(x, y) \
 733   & 0x4500) == 0)
 734 #define isless(x, y) ((__fp_unordered_compare (y, x) \
 735   & 0x4500) == 0)
 736 #define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) \
 737   & FP_INFINITE) == 0)
 738 #define islessequal(x, y) ((__fp_unordered_compare(y, x) \
 739   & FP_INFINITE) == 0)
 740 #define islessgreater(x, y) ((__fp_unordered_compare(x, y) \
 741   & FP_SUBNORMAL) == 0)
 742 #define isunordered(x, y) ((__fp_unordered_compare(x, y) \
 743   & 0x4500) == 0x4500)
 744
 745 #endif
 746
 747
 748 #endif /* __STDC_VERSION__ >= 199901L */
 749 #endif /* __NO_ISOCEXT */
 750
 751 #ifdef __cplusplus
 752 }
 753 extern "C++" {
 754   template<class _Ty> inline _Ty _Pow_int(_Ty _X,int _Y) {
 755     unsigned int _N;
 756     if(_Y >= 0) _N = (unsigned int)_Y;
 757     else _N = (unsigned int)(-_Y);
 758     for(_Ty _Z = _Ty(1);;_X *= _X) {
 759       if((_N & 1)!=0) _Z *= _X;
 760       if((_N >>= 1)==0) return (_Y < 0 ? _Ty(1) / _Z : _Z);
 761     }
 762   }
 763 }
 764 #endif
 765
 766 #pragma pack(pop)
 767
 768 #if !defined(__STRICT_ANSI__) && !defined(_MATH_DEFINES_DEFINED)
 769 #define _MATH_DEFINES_DEFINED
 770
 771 #define M_E 2.71828182845904523536
 772 #define M_LOG2E 1.44269504088896340736
 773 #define M_LOG10E 0.434294481903251827651
 774 #define M_LN2 0.693147180559945309417
 775 #define M_LN10 2.30258509299404568402
 776 #define M_PI 3.14159265358979323846
 777 #define M_PI_2 1.57079632679489661923
 778 #define M_PI_4 0.785398163397448309616
 779 #define M_1_PI 0.318309886183790671538
 780 #define M_2_PI 0.636619772367581343076
 781 #define M_2_SQRTPI 1.12837916709551257390
 782 #define M_SQRT2 1.41421356237309504880
 783 #define M_SQRT1_2 0.707106781186547524401
 784 #endif
 785
 786 #ifndef __MINGW_FPCLASS_DEFINED
 787 #define __MINGW_FPCLASS_DEFINED 1
 788 #define _FPCLASS_SNAN   0x0001  /* Signaling "Not a Number" */
 789 #define _FPCLASS_QNAN   0x0002  /* Quiet "Not a Number" */
 790 #define _FPCLASS_NINF   0x0004  /* Negative Infinity */
 791 #define _FPCLASS_NN     0x0008  /* Negative Normal */
 792 #define _FPCLASS_ND     0x0010  /* Negative Denormal */
 793 #define _FPCLASS_NZ     0x0020  /* Negative Zero */
 794 #define _FPCLASS_PZ     0x0040  /* Positive Zero */
 795 #define _FPCLASS_PD     0x0080  /* Positive Denormal */
 796 #define _FPCLASS_PN     0x0100  /* Positive Normal */
 797 #define _FPCLASS_PINF   0x0200  /* Positive Infinity */
 798 #endif /* __MINGW_FPCLASS_DEFINED */
 799
 800 #endif /* !_INC_MATH */