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 #define NAN (0.0F/0.0F)
 243 #define HUGE_VALF (1.0F/0.0F)
 244 #define HUGE_VALL (1.0L/0.0L)
 245 #define INFINITY (1.0F/0.0F)
 246
 247
 248 #define FP_NAN          0x0100
 249 #define FP_NORMAL       0x0400
 250 #define FP_INFINITE     (FP_NAN | FP_NORMAL)
 251 #define FP_ZERO         0x4000
 252 #define FP_SUBNORMAL    (FP_NORMAL | FP_ZERO)
 253   /* 0x0200 is signbit mask */
 254
 255 #if defined(__GNUC__)
 256
 257 #define __fxam(x, sw) \
 258         __asm__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x))
 259
 260 #elif defined(_MSC_VER)
 261
 262 #define __fxam(x, sw) \
 263     __asm { fld [(x)] } \
 264     __asm { fxam } \
 265     __asm { wait } \
 266     __asm { fnstsw [(sw)] } \
 267     __asm { fstp st(0) }
 268
 269 #endif
 270
 271   /*
 272   We can't __CRT_INLINE float or double, because we want to ensure truncation
 273   to semantic type before classification.
 274   (A normal long double value might become subnormal when
 275   converted to double, and zero when converted to float.)
 276   */
 277
 278   extern int __cdecl __fpclassifyf (float);
 279   extern int __cdecl __fpclassify (double);
 280
 281   __CRT_INLINE int __cdecl __fpclassifyl (long double x){
 282     unsigned short sw;
 283     __fxam(x, sw);
 284     return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
 285   }
 286
 287   __CRT_INLINE int __cdecl __fpclassify (double x){
 288     return __fpclassifyl((long double)x);
 289   }
 290
 291 #define fpclassify(x) (sizeof (x) == sizeof (float) ? __fpclassifyf (x)   \
 292   : sizeof (x) == sizeof (double) ? __fpclassify (x) \
 293   : __fpclassifyl (x))
 294
 295   /* 7.12.3.2 */
 296 #define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
 297
 298   /* 7.12.3.3 */
 299 /* #define isinf(x) (fpclassify(x) == FP_INFINITE) */
 300
 301   /* we don't have fpclassify */
 302 __CRT_INLINE int isinf (double d) {
 303   int expon = 0;
 304   double val = frexp (d, &expon);
 305   if (expon == 1025) {
 306     if (val == 0.5) {
 307         return 1;
 308     } else if (val == -0.5) {
 309         return -1;
 310     } else {
 311         return 0;
 312     }
 313   } else {
 314     return 0;
 315   }
 316 }
 317
 318   /* 7.12.3.4 */
 319   /* We don't need to worry about truncation here:
 320   A NaN stays a NaN. */
 321
 322   __CRT_INLINE int __cdecl __isnan (double _x)
 323   {
 324     unsigned short sw;
 325     __fxam(_x, sw);
 326     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 327       == FP_NAN;
 328   }
 329
 330   __CRT_INLINE int __cdecl __isnanf (float _x)
 331   {
 332     unsigned short sw;
 333     __fxam(_x, sw);
 334     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 335       == FP_NAN;
 336   }
 337
 338   __CRT_INLINE int __cdecl __isnanl (long double _x)
 339   {
 340     unsigned short sw;
 341     __fxam(_x, sw);
 342     return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
 343       == FP_NAN;
 344   }
 345
 346
 347 #define isnan(x) (sizeof (x) == sizeof (float) ? __isnanf (x)   \
 348   : sizeof (x) == sizeof (double) ? __isnan (x) \
 349   : __isnanl (x))
 350
 351   /* 7.12.3.5 */
 352 #define isnormal(x) (fpclassify(x) == FP_NORMAL)
 353
 354   /* 7.12.3.6 The signbit macro */
 355   __CRT_INLINE int __cdecl __signbit (double x) {
 356     unsigned short stw;
 357     __fxam(x, stw);
 358     return stw & 0x0200;
 359   }
 360
 361   __CRT_INLINE int __cdecl __signbitf (float x) {
 362     unsigned short stw;
 363     __fxam(x, stw);
 364     return stw & 0x0200;
 365   }
 366
 367   __CRT_INLINE int __cdecl __signbitl (long double x) {
 368     unsigned short stw;
 369     __fxam(x, stw);
 370     return stw & 0x0200;
 371   }
 372
 373 #define signbit(x) (sizeof (x) == sizeof (float) ? __signbitf (x)       \
 374   : sizeof (x) == sizeof (double) ? __signbit (x)       \
 375   : __signbitl (x))
 376
 377   extern double __cdecl exp2(double);
 378   extern float __cdecl exp2f(float);
 379   extern long double __cdecl exp2l(long double);
 380
 381 #define FP_ILOGB0 ((int)0x80000000)
 382 #define FP_ILOGBNAN ((int)0x80000000)
 383   extern int __cdecl ilogb (double);
 384   extern int __cdecl ilogbf (float);
 385   extern int __cdecl ilogbl (long double);
 386
 387   extern double __cdecl log1p(double);
 388   extern float __cdecl log1pf(float);
 389   extern long double __cdecl log1pl(long double);
 390
 391   extern double __cdecl log2 (double);
 392   extern float __cdecl log2f (float);
 393   extern long double __cdecl log2l (long double);
 394
 395   extern double __cdecl logb (double);
 396   extern float __cdecl logbf (float);
 397   extern long double __cdecl logbl (long double);
 398
 399 #if defined(__GNUC__)
 400
 401 #define __fxtract(x, res) \
 402     __asm__ ("fxtract\n\t" \
 403       "fstp     %%st" : "=t" (res) : "0" (x))
 404
 405 #elif defined(_MSC_VER)
 406
 407 #define __fxtract(x, res) \
 408     __asm { fld [(x)] } \
 409     __asm { fxtract } \
 410     __asm { fstp st(0) } \
 411     __asm { fstp [(res)] }
 412
 413 #endif
 414
 415   __CRT_INLINE double __cdecl logb (double x)
 416   {
 417     double res;
 418     __fxtract(x, res);
 419     return res;
 420   }
 421
 422   __CRT_INLINE float __cdecl logbf (float x)
 423   {
 424     float res;
 425     __fxtract(x, res);
 426     return res;
 427   }
 428
 429   __CRT_INLINE long double __cdecl logbl (long double x)
 430   {
 431     long double res;
 432     __fxtract(x, res);
 433     return res;
 434   }
 435
 436   extern long double __cdecl modfl (long double, long double*);
 437
 438   /* 7.12.6.13 */
 439   extern double __cdecl scalbn (double, int);
 440   extern float __cdecl scalbnf (float, int);
 441   extern long double __cdecl scalbnl (long double, int);
 442
 443   extern double __cdecl scalbln (double, long);
 444   extern float __cdecl scalblnf (float, long);
 445   extern long double __cdecl scalblnl (long double, long);
 446
 447   /* 7.12.7.1 */
 448   /* Implementations adapted from Cephes versions */
 449   extern double __cdecl cbrt (double);
 450   extern float __cdecl cbrtf (float);
 451   extern long double __cdecl cbrtl (long double);
 452
 453   extern long double __cdecl hypotl (long double, long double);
 454
 455   extern long double __cdecl powl (long double, long double);
 456   extern long double __cdecl expl(long double);
 457   extern long double expm1l(long double);
 458   extern long double __cdecl coshl(long double);
 459   extern long double __cdecl fabsl (long double);
 460   extern long double __cdecl acosl(long double);
 461   extern long double __cdecl asinl(long double);
 462   extern long double __cdecl atanl(long double);
 463   extern long double __cdecl atan2l(long double,long double);
 464   extern long double __cdecl sinhl(long double);
 465   extern long double __cdecl tanhl(long double);
 466
 467   /* 7.12.8.1 The erf functions  */
 468   extern double __cdecl erf (double);
 469   extern float __cdecl erff (float);
 470   /* TODO
 471   extern long double __cdecl erfl (long double);
 472   */
 473
 474   /* 7.12.8.2 The erfc functions  */
 475   extern double __cdecl erfc (double);
 476   extern float __cdecl erfcf (float);
 477   /* TODO
 478   extern long double __cdecl erfcl (long double);
 479   */
 480
 481   /* 7.12.8.3 The lgamma functions */
 482   extern double __cdecl lgamma (double);
 483   extern float __cdecl lgammaf (float);
 484   extern long double __cdecl lgammal (long double);
 485
 486   /* 7.12.8.4 The tgamma functions */
 487   extern double __cdecl tgamma (double);
 488   extern float __cdecl tgammaf (float);
 489   extern long double __cdecl tgammal (long double);
 490
 491   extern long double __cdecl ceill (long double);
 492   extern long double __cdecl floorl (long double);
 493   extern long double __cdecl frexpl(long double,int *);
 494   extern long double __cdecl log10l(long double);
 495   extern long double __cdecl logl(long double);
 496   extern long double __cdecl cosl(long double);
 497   extern long double __cdecl sinl(long double);
 498   extern long double __cdecl tanl(long double);
 499   extern long double sqrtl(long double);
 500
 501   /* 7.12.9.3 */
 502   extern double __cdecl nearbyint ( double);
 503   extern float __cdecl nearbyintf (float);
 504   extern long double __cdecl nearbyintl (long double);
 505
 506   /* 7.12.9.4 */
 507   /* round, using fpu control word settings */
 508 #if defined(__GNUC__)
 509
 510 #define __frndint(x, res) \
 511   __asm__ ("fabs;" : "=t" (res) : "0" (x))
 512
 513 #elif defined(_MSC_VER)
 514
 515 #define __frndint(x, res) \
 516   __asm { fld [(x)] } \
 517   __asm { frndint } \
 518   __asm { fstp [(res)] }
 519
 520 #endif
 521
 522   __CRT_INLINE double __cdecl rint (double x)
 523   {
 524     double retval;
 525     __frndint(x, retval);
 526     return retval;
 527   }
 528
 529   __CRT_INLINE float __cdecl rintf (float x)
 530   {
 531     float retval;
 532     __frndint(x, retval);
 533     return retval;
 534   }
 535
 536   __CRT_INLINE long double __cdecl rintl (long double x)
 537   {
 538     long double retval;
 539     __frndint(x, retval);
 540     return retval;
 541   }
 542
 543   /* 7.12.9.5 */
 544 #if defined(__GNUC__)
 545
 546 #define __fistpl(x, res) \
 547   __asm__ __volatile__("fistpl %0"  : "=m" (res) : "t" (x) : "st")
 548
 549 #define __fistpll(x, res) \
 550   __asm__ __volatile__("fistpll %0"  : "=m" (res) : "t" (x) : "st")
 551
 552 #elif defined(_MSC_VER)
 553
 554 #define __fistpl(x, res) \
 555   __asm { fld [(x)] } \
 556   __asm { fistp [(res)] }
 557
 558 #define __fistpll(x, res) \
 559   __asm { fld [(x)] } \
 560   __asm { fistp [(res)] }
 561
 562 #endif
 563
 564   __CRT_INLINE long __cdecl lrint (double x)
 565   {
 566     long retval;
 567     __fistpl(x, retval);
 568     return retval;
 569   }
 570
 571   __CRT_INLINE long __cdecl lrintf (float x)
 572   {
 573     long retval;
 574     __fistpl(x, retval);
 575     return retval;
 576   }
 577
 578   __CRT_INLINE long __cdecl lrintl (long double x)
 579   {
 580     long retval;
 581     __fistpl(x, retval);
 582     return retval;
 583   }
 584
 585   __CRT_INLINE long long __cdecl llrint (double x)
 586   {
 587     long long retval;
 588     __fistpll(x, retval);
 589     return retval;
 590   }
 591
 592   __CRT_INLINE long long __cdecl llrintf (float x)
 593   {
 594     long long retval;
 595     __fistpll(x, retval);
 596     return retval;
 597   }
 598
 599   __CRT_INLINE long long __cdecl llrintl (long double x)
 600   {
 601     long long retval;
 602     __fistpll(x, retval);
 603     return retval;
 604   }
 605
 606   /* 7.12.9.6 */
 607   /* round away from zero, regardless of fpu control word settings */
 608   extern double __cdecl round (double);
 609   extern float __cdecl roundf (float);
 610   extern long double __cdecl roundl (long double);
 611
 612   /* 7.12.9.7  */
 613   extern long __cdecl lround (double);
 614   extern long __cdecl lroundf (float);
 615   extern long __cdecl lroundl (long double);
 616
 617   extern long long __cdecl llround (double);
 618   extern long long __cdecl llroundf (float);
 619   extern long long __cdecl llroundl (long double);
 620
 621   /* 7.12.9.8 */
 622   /* round towards zero, regardless of fpu control word settings */
 623   extern double __cdecl trunc (double);
 624   extern float __cdecl truncf (float);
 625   extern long double __cdecl truncl (long double);
 626
 627   extern long double __cdecl fmodl (long double, long double);
 628
 629   /* 7.12.10.2 */
 630   extern double __cdecl remainder (double, double);
 631   extern float __cdecl remainderf (float, float);
 632   extern long double __cdecl remainderl (long double, long double);
 633
 634   /* 7.12.10.3 */
 635   extern double __cdecl remquo(double, double, int *);
 636   extern float __cdecl remquof(float, float, int *);
 637   extern long double __cdecl remquol(long double, long double, int *);
 638
 639   /* 7.12.11.1 */
 640   extern double __cdecl copysign (double, double); /* in libmoldname.a */
 641   extern float __cdecl copysignf (float, float);
 642   extern long double __cdecl copysignl (long double, long double);
 643
 644   /* 7.12.11.2 Return a NaN */
 645   extern double __cdecl nan(const char *tagp);
 646   extern float __cdecl nanf(const char *tagp);
 647   extern long double __cdecl nanl(const char *tagp);
 648
 649 #ifndef __STRICT_ANSI__
 650 #define _nan() nan("")
 651 #define _nanf() nanf("")
 652 #define _nanl() nanl("")
 653 #endif
 654
 655   /* 7.12.11.3 */
 656   extern double __cdecl nextafter (double, double); /* in libmoldname.a */
 657   extern float __cdecl nextafterf (float, float);
 658   extern long double __cdecl nextafterl (long double, long double);
 659
 660   /* 7.12.11.4 The nexttoward functions: TODO */
 661
 662   /* 7.12.12.1 */
 663   /*  x > y ? (x - y) : 0.0  */
 664   extern double __cdecl fdim (double x, double y);
 665   extern float __cdecl fdimf (float x, float y);
 666   extern long double __cdecl fdiml (long double x, long double y);
 667
 668   /* fmax and fmin.
 669   NaN arguments are treated as missing data: if one argument is a NaN
 670   and the other numeric, then these functions choose the numeric
 671   value. */
 672
 673   /* 7.12.12.2 */
 674   extern double __cdecl fmax  (double, double);
 675   extern float __cdecl fmaxf (float, float);
 676   extern long double __cdecl fmaxl (long double, long double);
 677
 678   /* 7.12.12.3 */
 679   extern double __cdecl fmin (double, double);
 680   extern float __cdecl fminf (float, float);
 681   extern long double __cdecl fminl (long double, long double);
 682
 683   /* 7.12.13.1 */
 684   /* return x * y + z as a ternary op */
 685   extern double __cdecl fma (double, double, double);
 686   extern float __cdecl fmaf (float, float, float);
 687   extern long double __cdecl fmal (long double, long double, long double);
 688
 689
 690   /* 7.12.14 */
 691   /*
 692   *  With these functions, comparisons involving quiet NaNs set the FP
 693   *  condition code to "unordered".  The IEEE floating-point spec
 694   *  dictates that the result of floating-point comparisons should be
 695   *  false whenever a NaN is involved, with the exception of the != op,
 696   *  which always returns true: yes, (NaN != NaN) is true).
 697   */
 698
 699 #if defined(__GNUC__) && __GNUC__ >= 3
 700
 701 #define isgreater(x, y) __builtin_isgreater(x, y)
 702 #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
 703 #define isless(x, y) __builtin_isless(x, y)
 704 #define islessequal(x, y) __builtin_islessequal(x, y)
 705 #define islessgreater(x, y) __builtin_islessgreater(x, y)
 706 #define isunordered(x, y) __builtin_isunordered(x, y)
 707
 708 #else
 709   /*  helper  */
 710   __CRT_INLINE int  __cdecl
 711     __fp_unordered_compare (long double x, long double y){
 712       unsigned short retval;
 713 #if defined(__GNUC__)
 714       __asm__ ("fucom %%st(1);"
 715         "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
 716 #elif defined(_MSC_VER)
 717       __asm {
 718         fld [x]
 719         fld [y]
 720         fxch st(1)
 721         fucom st(1)
 722         fnstsw [retval]
 723         fstp st(0)
 724         fstp st(0)
 725       }
 726 #endif
 727       return retval;
 728   }
 729
 730 #define isgreater(x, y) ((__fp_unordered_compare(x, y) \
 731   & 0x4500) == 0)
 732 #define isless(x, y) ((__fp_unordered_compare (y, x) \
 733   & 0x4500) == 0)
 734 #define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) \
 735   & FP_INFINITE) == 0)
 736 #define islessequal(x, y) ((__fp_unordered_compare(y, x) \
 737   & FP_INFINITE) == 0)
 738 #define islessgreater(x, y) ((__fp_unordered_compare(x, y) \
 739   & FP_SUBNORMAL) == 0)
 740 #define isunordered(x, y) ((__fp_unordered_compare(x, y) \
 741   & 0x4500) == 0x4500)
 742
 743 #endif
 744
 745
 746 #endif /* __STDC_VERSION__ >= 199901L */
 747 #endif /* __NO_ISOCEXT */
 748
 749 #ifdef __cplusplus
 750 }
 751 extern "C++" {
 752   template<class _Ty> inline _Ty _Pow_int(_Ty _X,int _Y) {
 753     unsigned int _N;
 754     if(_Y >= 0) _N = (unsigned int)_Y;
 755     else _N = (unsigned int)(-_Y);
 756     for(_Ty _Z = _Ty(1);;_X *= _X) {
 757       if((_N & 1)!=0) _Z *= _X;
 758       if((_N >>= 1)==0) return (_Y < 0 ? _Ty(1) / _Z : _Z);
 759     }
 760   }
 761 }
 762 #endif
 763
 764 #pragma pack(pop)
 765
 766 #if !defined(__STRICT_ANSI__) && !defined(_MATH_DEFINES_DEFINED)
 767 #define _MATH_DEFINES_DEFINED
 768
 769 #define M_E 2.71828182845904523536
 770 #define M_LOG2E 1.44269504088896340736
 771 #define M_LOG10E 0.434294481903251827651
 772 #define M_LN2 0.693147180559945309417
 773 #define M_LN10 2.30258509299404568402
 774 #define M_PI 3.14159265358979323846
 775 #define M_PI_2 1.57079632679489661923
 776 #define M_PI_4 0.785398163397448309616
 777 #define M_1_PI 0.318309886183790671538
 778 #define M_2_PI 0.636619772367581343076
 779 #define M_2_SQRTPI 1.12837916709551257390
 780 #define M_SQRT2 1.41421356237309504880
 781 #define M_SQRT1_2 0.707106781186547524401
 782 #endif
 783
 784 #ifndef __MINGW_FPCLASS_DEFINED
 785 #define __MINGW_FPCLASS_DEFINED 1
 786 #define _FPCLASS_SNAN   0x0001  /* Signaling "Not a Number" */
 787 #define _FPCLASS_QNAN   0x0002  /* Quiet "Not a Number" */
 788 #define _FPCLASS_NINF   0x0004  /* Negative Infinity */
 789 #define _FPCLASS_NN     0x0008  /* Negative Normal */
 790 #define _FPCLASS_ND     0x0010  /* Negative Denormal */
 791 #define _FPCLASS_NZ     0x0020  /* Negative Zero */
 792 #define _FPCLASS_PZ     0x0040  /* Positive Zero */
 793 #define _FPCLASS_PD     0x0080  /* Positive Denormal */
 794 #define _FPCLASS_PN     0x0100  /* Positive Normal */
 795 #define _FPCLASS_PINF   0x0200  /* Positive Infinity */
 796 #endif /* __MINGW_FPCLASS_DEFINED */
 797
 798 #endif /* !_INC_MATH */