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root/Oni2/Daodan/MinGW/include/math.h
Revision: 1046
Committed: Mon Aug 29 13:19:38 2016 UTC (9 years, 2 months ago) by alloc
Content type: text/x-chdr
File size: 27528 byte(s)
Log Message: 
Daodan: Added Windows MinGW and build batch file

File Contents

# Content
1 /*
2 * math.h
3 *
4 * ANSI/POSIX + Microsoft compatible mathematical function prototypes,
5 * associated macros, and manifest constant definitions.
6 *
7 * $Id: math.h,v c96797f9657b 2016/04/12 14:36:20 keithmarshall $
8 *
9 * Written by Colin Peters <colin@bird.fu.is.saga-u.ac.jp>
10 * Copyright (C) 1997-2009, 2014-2016, MinGW.org Project.
11 *
12 *
13 * Permission is hereby granted, free of charge, to any person obtaining a
14 * copy of this software and associated documentation files (the "Software"),
15 * to deal in the Software without restriction, including without limitation
16 * the rights to use, copy, modify, merge, publish, distribute, sublicense,
17 * and/or sell copies of the Software, and to permit persons to whom the
18 * Software is furnished to do so, subject to the following conditions:
19 *
20 * The above copyright notice, this permission notice, and the following
21 * disclaimer shall be included in all copies or substantial portions of
22 * the Software.
23 *
24 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
25 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
26 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
27 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
28 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
29 * FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OF OR OTHER
30 * DEALINGS IN THE SOFTWARE.
31 *
32 */
33 #ifndef _MATH_H
34 #define _MATH_H
35 #pragma GCC system_header
36
37 /* All the headers include this file.
38 */
39 #include <_mingw.h>
40
41 /* Types for the _exception structure.
42 */
43 #define _DOMAIN 1 /* domain error in argument */
44 #define _SING 2 /* singularity */
45 #define _OVERFLOW 3 /* range overflow */
46 #define _UNDERFLOW 4 /* range underflow */
47 #define _TLOSS 5 /* total loss of precision */
48 #define _PLOSS 6 /* partial loss of precision */
49
50 #if ! defined __STRICT_ANSI__ && ! defined _NO_OLDNAMES
51 /*
52 * Exception types with non-ANSI names for compatibility.
53 */
54 #define DOMAIN _DOMAIN
55 #define SING _SING
56 #define OVERFLOW _OVERFLOW
57 #define UNDERFLOW _UNDERFLOW
58 #define TLOSS _TLOSS
59 #define PLOSS _PLOSS
60
61 #endif /* !__STRICT_ANSI__ && !_NO_OLDNAMES */
62
63
64 #if _POSIX_C_SOURCE || defined _USE_MATH_DEFINES
65 /* Traditional/XOPEN math constants (double precison). MSVC makes these
66 * available, only if _USE_MATH_DEFINES is specified; POSIX does so also,
67 * when _POSIX_C_SOURCE is defined and non-zero, (as will be the case by
68 * default in MinGW, unless __STRICT_ANSI__ checking is in effect).
69 */
70 #define M_E 2.7182818284590452354
71 #define M_LOG2E 1.4426950408889634074
72 #define M_LOG10E 0.43429448190325182765
73 #define M_LN2 0.69314718055994530942
74 #define M_LN10 2.30258509299404568402
75 #define M_PI 3.14159265358979323846
76 #define M_PI_2 1.57079632679489661923
77 #define M_PI_4 0.78539816339744830962
78 #define M_1_PI 0.31830988618379067154
79 #define M_2_PI 0.63661977236758134308
80 #define M_2_SQRTPI 1.12837916709551257390
81 #define M_SQRT2 1.41421356237309504880
82 #define M_SQRT1_2 0.70710678118654752440
83 #endif
84
85 /* These are also defined in MinGW float.h; needed here as well,
86 * to work around GCC build issues.
87 *
88 * FIXME: Since they're needed both in MinGW float.h and here,
89 * they should be moved to a common "parts" header.
90 */
91 #if ! defined __STRICT_ANSI__ && ! defined __MINGW_FPCLASS_DEFINED
92 #define __MINGW_FPCLASS_DEFINED 1
93
94 /* IEEE 754 classication
95 */
96 #define _FPCLASS_SNAN 0x0001 /* Signaling "Not a Number" */
97 #define _FPCLASS_QNAN 0x0002 /* Quiet "Not a Number" */
98 #define _FPCLASS_NINF 0x0004 /* Negative Infinity */
99 #define _FPCLASS_NN 0x0008 /* Negative Normal */
100 #define _FPCLASS_ND 0x0010 /* Negative Denormal */
101 #define _FPCLASS_NZ 0x0020 /* Negative Zero */
102 #define _FPCLASS_PZ 0x0040 /* Positive Zero */
103 #define _FPCLASS_PD 0x0080 /* Positive Denormal */
104 #define _FPCLASS_PN 0x0100 /* Positive Normal */
105 #define _FPCLASS_PINF 0x0200 /* Positive Infinity */
106
107 #endif /* !__STRICT_ANSI__ && !__MINGW_FPCLASS_DEFINED */
108
109 #ifndef RC_INVOKED
110
111 _BEGIN_C_DECLS
112
113 /* HUGE_VAL is returned by strtod when the value would overflow the
114 * representation of 'double'. There are other uses as well.
115 *
116 * __imp__HUGE is a pointer to the actual variable _HUGE in
117 * MSVCRT.DLL. If we used _HUGE directly we would get a pointer
118 * to a thunk function.
119 *
120 * NOTE: The CRTDLL version uses _HUGE_dll instead.
121 */
122 #if __MINGW_GNUC_PREREQ(3, 3)
123 #define HUGE_VAL __builtin_huge_val()
124
125 #else
126 #ifndef __DECLSPEC_SUPPORTED
127
128 #ifdef __MSVCRT__
129 extern double *_imp___HUGE;
130 #define HUGE_VAL (*_imp___HUGE)
131
132 #else /* CRTDLL */
133 extern double *_imp___HUGE_dll;
134 #define HUGE_VAL (*_imp___HUGE_dll)
135 #endif
136
137 #else /* __DECLSPEC_SUPPORTED */
138
139 #ifdef __MSVCRT__
140 __MINGW_IMPORT double _HUGE;
141 #define HUGE_VAL _HUGE
142
143 #else /* CRTDLL */
144 __MINGW_IMPORT double _HUGE_dll;
145 #define HUGE_VAL _HUGE_dll
146 #endif
147
148 #endif /* __DECLSPEC_SUPPORTED */
149 #endif /* __MINGW_GNUC_PREREQ(3, 3) */
150
151 struct _exception
152 {
153 int type;
154 char *name;
155 double arg1;
156 double arg2;
157 double retval;
158 };
159
160 _CRTIMP double __cdecl sin (double);
161 _CRTIMP double __cdecl cos (double);
162 _CRTIMP double __cdecl tan (double);
163 _CRTIMP double __cdecl sinh (double);
164 _CRTIMP double __cdecl cosh (double);
165 _CRTIMP double __cdecl tanh (double);
166 _CRTIMP double __cdecl asin (double);
167 _CRTIMP double __cdecl acos (double);
168 _CRTIMP double __cdecl atan (double);
169 _CRTIMP double __cdecl atan2 (double, double);
170 _CRTIMP double __cdecl exp (double);
171 _CRTIMP double __cdecl log (double);
172 _CRTIMP double __cdecl log10 (double);
173 _CRTIMP double __cdecl pow (double, double);
174 _CRTIMP double __cdecl sqrt (double);
175 _CRTIMP double __cdecl ceil (double);
176 _CRTIMP double __cdecl floor (double);
177 _CRTIMP double __cdecl fabs (double);
178 _CRTIMP double __cdecl ldexp (double, int);
179 _CRTIMP double __cdecl frexp (double, int*);
180 _CRTIMP double __cdecl modf (double, double*);
181 _CRTIMP double __cdecl fmod (double, double);
182
183 #if 0
184 /* Excess precision when using a 64-bit mantissa for FPU math ops can
185 * cause unexpected results with some of the MSVCRT math functions. For
186 * example, unless the function return value is stored (truncating to
187 * 53-bit mantissa), calls to pow with both x and y as integral values
188 * sometimes produce a non-integral result.
189 *
190 * One workaround is to reset the FPU env to 53-bit mantissa
191 * by a call to fesetenv (FE_PC53_ENV). Amother is to force storage
192 * of the return value of individual math functions using wrappers.
193 * NB, using these wrappers will disable builtin math functions and
194 * hence disable the folding of function results at compile time when
195 * arguments are constant.
196 */
197 #define __DEFINE_FLOAT_STORE_MATHFN_D1(fn1) \
198 static __inline__ double \
199 __float_store_ ## fn1 (double x) \
200 { \
201 __volatile__ double res = (fn1) (x); \
202 return res; \
203 }
204
205 #define __DEFINE_FLOAT_STORE_MATHFN_D2(fn2) \
206 static __inline__ double \
207 __float_store_ ## fn2 (double x, double y) \
208 { \
209 __volatile__ double res = (fn2) (x, y); \
210 return res; \
211 }
212
213 /* For example, here is how to force the result of the pow function
214 * to be stored:
215 */
216 #undef pow
217 /* Define the ___float_store_pow function and use it instead of pow().
218 */
219 __DEFINE_FLOAT_STORE_MATHFN_D2 (pow)
220 #define pow __float_store_pow
221 #endif
222
223 #ifndef __STRICT_ANSI__
224
225 struct _complex
226 { /* Complex number (for _cabs). This is the MS version; the
227 * ISO-C99 counterpart, _Complex, is an intrinsic type in GCC,
228 * and 'complex' is defined as a macro. See <complex.h>
229 */
230 double x; /* Real part */
231 double y; /* Imaginary part */
232 };
233
234 _CRTIMP double __cdecl _cabs (struct _complex);
235
236 _CRTIMP double __cdecl _hypot (double, double);
237 _CRTIMP double __cdecl _j0 (double);
238 _CRTIMP double __cdecl _j1 (double);
239 _CRTIMP double __cdecl _jn (int, double);
240 _CRTIMP double __cdecl _y0 (double);
241 _CRTIMP double __cdecl _y1 (double);
242 _CRTIMP double __cdecl _yn (int, double);
243 _CRTIMP int __cdecl _matherr (struct _exception *);
244
245 /* These are also declared in MinGW's <float.h>; we need them
246 * here as well to work around GCC build issues.
247 */
248 /* BEGIN FLOAT.H COPY */
249 /*
250 * IEEE recommended functions
251 */
252 _CRTIMP double __cdecl _chgsign (double);
253 _CRTIMP double __cdecl _copysign (double, double);
254 _CRTIMP double __cdecl _logb (double);
255 _CRTIMP double __cdecl _nextafter (double, double);
256 _CRTIMP double __cdecl _scalb (double, long);
257
258 _CRTIMP int __cdecl _finite (double);
259 _CRTIMP int __cdecl _fpclass (double);
260 _CRTIMP int __cdecl _isnan (double);
261
262 /* END FLOAT.H COPY */
263
264
265 #ifndef _NO_OLDNAMES
266 /* Non-underscored versions of non-ANSI functions.
267 * These reside in liboldnames.a.
268 */
269 _CRTIMP double __cdecl j0 (double);
270 _CRTIMP double __cdecl j1 (double);
271 _CRTIMP double __cdecl jn (int, double);
272 _CRTIMP double __cdecl y0 (double);
273 _CRTIMP double __cdecl y1 (double);
274 _CRTIMP double __cdecl yn (int, double);
275
276 _CRTIMP double __cdecl chgsign (double);
277 /*
278 * scalb() is a GCC built-in.
279 * Exclude this _scalb() stub; the semantics are incompatible
280 * with the built-in implementation.
281 *
282 _CRTIMP double __cdecl scalb (double, long);
283 *
284 */
285 _CRTIMP int __cdecl finite (double);
286 _CRTIMP int __cdecl fpclass (double);
287
288 #define FP_SNAN _FPCLASS_SNAN
289 #define FP_QNAN _FPCLASS_QNAN
290 #define FP_NINF _FPCLASS_NINF
291 #define FP_PINF _FPCLASS_PINF
292 #define FP_NDENORM _FPCLASS_ND
293 #define FP_PDENORM _FPCLASS_PD
294 #define FP_NZERO _FPCLASS_NZ
295 #define FP_PZERO _FPCLASS_PZ
296 #define FP_NNORM _FPCLASS_NN
297 #define FP_PNORM _FPCLASS_PN
298
299 #endif /* !_NO_OLDNAMES */
300
301 #if _WIN32_WINNT >= _WIN32_WINNT_WINXP || __MSVCRT_VERSION__ >= __MSVCR70_DLL
302 /*
303 * This requires WinXP, or MSVCR70.DLL, or later.
304 */
305 _CRTIMP int __cdecl _set_SSE2_enable (int);
306
307 #endif /* >= WINXP || >= __MSVCR70_DLL */
308 #endif /* !__STRICT_ANSI__ */
309
310 #if defined __cplusplus || defined _ISOC99_SOURCE
311
312 # if __MINGW_GNUC_PREREQ(3, 3)
313 # define HUGE_VALF __builtin_huge_valf()
314 # define HUGE_VALL __builtin_huge_vall()
315 # define INFINITY __builtin_inf()
316 # define NAN __builtin_nan("")
317 # else
318 extern const float __INFF;
319 extern const long double __INFL;
320 extern const double __QNAN;
321
322 # define HUGE_VALF __INFF
323 # define HUGE_VALL __INFL
324 # define INFINITY HUGE_VALF
325 # define NAN __QNAN
326
327 # endif /* __MINGW_GNUC_PREREQ(3, 3) */
328
329 #ifdef __FLT_EVAL_METHOD__
330 /* Use the compiler's builtin definition for FLT_EVAL_METHOD
331 * to establish appropriate float_t and double_t typedefs.
332 */
333 # if __FLT_EVAL_METHOD__ == 0
334 typedef float float_t;
335 typedef double double_t;
336
337 # elif __FLT_EVAL_METHOD__ == 1
338 typedef double float_t;
339 typedef double double_t;
340
341 # elif __FLT_EVAL_METHOD__ == 2
342 typedef long double float_t;
343 typedef long double double_t;
344
345 # endif
346 #else
347 /* ix87 FPU default
348 */
349 typedef long double float_t;
350 typedef long double double_t;
351 #endif
352
353 /* 7.12.3.1
354 * Return values for fpclassify.
355 * These are based on Intel x87 fpu condition codes
356 * in the high byte of status word and differ from
357 * the return values for MS IEEE 754 extension _fpclass()
358 */
359 #define FP_NAN 0x0100
360 #define FP_NORMAL 0x0400
361 #define FP_INFINITE (FP_NAN | FP_NORMAL)
362 #define FP_ZERO 0x4000
363 #define FP_SUBNORMAL (FP_NORMAL | FP_ZERO)
364 /* 0x0200 is signbit mask */
365
366 /* We can't inline float or double, because we want to ensure
367 * truncation to semantic type before classification; (a normal
368 * long double value might become subnormal when converted to
369 * double, and zero when converted to float.)
370 */
371 extern int __cdecl __fpclassifyf (float);
372 extern int __cdecl __fpclassify (double);
373 extern int __cdecl __fpclassifyl (long double);
374
375 #ifndef __NO_INLINE__
376 __CRT_INLINE int __cdecl __fpclassifyl (long double x){
377 unsigned short sw;
378 __asm__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
379 return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
380 }
381 #endif
382
383 #define fpclassify(x) (sizeof (x) == sizeof (float) ? __fpclassifyf (x) \
384 : sizeof (x) == sizeof (double) ? __fpclassify (x) \
385 : __fpclassifyl (x))
386
387 /* 7.12.3.2 */
388 #define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
389
390 /* 7.12.3.3 */
391 #define isinf(x) (fpclassify(x) == FP_INFINITE)
392
393 /* 7.12.3.4 */
394 /* We don't need to worry about truncation here:
395 * a NaN stays a NaN.
396 */
397 extern int __cdecl __isnan (double);
398 extern int __cdecl __isnanf (float);
399 extern int __cdecl __isnanl (long double);
400 #ifndef __NO_INLINE__
401 __CRT_INLINE int __cdecl __isnan (double _x)
402 {
403 unsigned short sw;
404 __asm__ ("fxam;"
405 "fstsw %%ax": "=a" (sw) : "t" (_x));
406 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
407 == FP_NAN;
408 }
409
410 __CRT_INLINE int __cdecl __isnanf (float _x)
411 {
412 unsigned short sw;
413 __asm__ ("fxam;"
414 "fstsw %%ax": "=a" (sw) : "t" (_x));
415 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
416 == FP_NAN;
417 }
418
419 __CRT_INLINE int __cdecl __isnanl (long double _x)
420 {
421 unsigned short sw;
422 __asm__ ("fxam;"
423 "fstsw %%ax": "=a" (sw) : "t" (_x));
424 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
425 == FP_NAN;
426 }
427 #endif
428
429 #define isnan(x) (sizeof (x) == sizeof (float) ? __isnanf (x) \
430 : sizeof (x) == sizeof (double) ? __isnan (x) \
431 : __isnanl (x))
432
433 /* 7.12.3.5 */
434 #define isnormal(x) (fpclassify(x) == FP_NORMAL)
435
436 /* 7.12.3.6 The signbit macro */
437 extern int __cdecl __signbit (double);
438 extern int __cdecl __signbitf (float);
439 extern int __cdecl __signbitl (long double);
440 #ifndef __NO_INLINE__
441 __CRT_INLINE int __cdecl __signbit (double x) {
442 unsigned short stw;
443 __asm__ ( "fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
444 return (stw & 0x0200) != 0;
445 }
446
447 __CRT_INLINE int __cdecl __signbitf (float x) {
448 unsigned short stw;
449 __asm__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
450 return (stw & 0x0200) != 0;
451 }
452
453 __CRT_INLINE int __cdecl __signbitl (long double x) {
454 unsigned short stw;
455 __asm__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
456 return (stw & 0x0200) != 0;
457 }
458 #endif
459
460 #define signbit(x) (sizeof (x) == sizeof (float) ? __signbitf (x) \
461 : sizeof (x) == sizeof (double) ? __signbit (x) \
462 : __signbitl (x))
463
464 /* 7.12.4 Trigonometric functions: double in C89
465 */
466 extern float __cdecl sinf (float);
467 extern long double __cdecl sinl (long double);
468
469 extern float __cdecl cosf (float);
470 extern long double __cdecl cosl (long double);
471
472 extern float __cdecl tanf (float);
473 extern long double __cdecl tanl (long double);
474
475 extern float __cdecl asinf (float);
476 extern long double __cdecl asinl (long double);
477
478 extern float __cdecl acosf (float);
479 extern long double __cdecl acosl (long double);
480
481 extern float __cdecl atanf (float);
482 extern long double __cdecl atanl (long double);
483
484 extern float __cdecl atan2f (float, float);
485 extern long double __cdecl atan2l (long double, long double);
486
487 /* 7.12.5 Hyperbolic functions: double in C89
488 */
489 extern float __cdecl sinhf (float);
490 #ifndef __NO_INLINE__
491 __CRT_INLINE float __cdecl sinhf (float x)
492 {return (float) sinh (x);}
493 #endif
494 extern long double __cdecl sinhl (long double);
495
496 extern float __cdecl coshf (float);
497 #ifndef __NO_INLINE__
498 __CRT_INLINE float __cdecl coshf (float x)
499 {return (float) cosh (x);}
500 #endif
501 extern long double __cdecl coshl (long double);
502
503 extern float __cdecl tanhf (float);
504 #ifndef __NO_INLINE__
505 __CRT_INLINE float __cdecl tanhf (float x)
506 {return (float) tanh (x);}
507 #endif
508 extern long double __cdecl tanhl (long double);
509
510 /* Inverse hyperbolic trig functions */
511 /* 7.12.5.1 */
512 extern double __cdecl acosh (double);
513 extern float __cdecl acoshf (float);
514 extern long double __cdecl acoshl (long double);
515
516 /* 7.12.5.2 */
517 extern double __cdecl asinh (double);
518 extern float __cdecl asinhf (float);
519 extern long double __cdecl asinhl (long double);
520
521 /* 7.12.5.3 */
522 extern double __cdecl atanh (double);
523 extern float __cdecl atanhf (float);
524 extern long double __cdecl atanhl (long double);
525
526 /* Exponentials and logarithms */
527 /* 7.12.6.1 Double in C89 */
528 extern float __cdecl expf (float);
529 #ifndef __NO_INLINE__
530 __CRT_INLINE float __cdecl expf (float x)
531 {return (float) exp (x);}
532 #endif
533 extern long double __cdecl expl (long double);
534
535 /* 7.12.6.2 */
536 extern double __cdecl exp2(double);
537 extern float __cdecl exp2f(float);
538 extern long double __cdecl exp2l(long double);
539
540 /* 7.12.6.3 The expm1 functions */
541 /* TODO: These could be inlined */
542 extern double __cdecl expm1(double);
543 extern float __cdecl expm1f(float);
544 extern long double __cdecl expm1l(long double);
545
546 /* 7.12.6.4 Double in C89 */
547 extern float __cdecl frexpf (float, int*);
548 #ifndef __NO_INLINE__
549 __CRT_INLINE float __cdecl frexpf (float x, int* expn)
550 {return (float) frexp (x, expn);}
551 #endif
552 extern long double __cdecl frexpl (long double, int*);
553
554 /* 7.12.6.5 */
555 #define FP_ILOGB0 ((int)0x80000000)
556 #define FP_ILOGBNAN ((int)0x80000000)
557 extern int __cdecl ilogb (double);
558 extern int __cdecl ilogbf (float);
559 extern int __cdecl ilogbl (long double);
560
561 /* 7.12.6.6 Double in C89 */
562 extern float __cdecl ldexpf (float, int);
563 #ifndef __NO_INLINE__
564 __CRT_INLINE float __cdecl ldexpf (float x, int expn)
565 {return (float) ldexp (x, expn);}
566 #endif
567 extern long double __cdecl ldexpl (long double, int);
568
569 /* 7.12.6.7 Double in C89 */
570 extern float __cdecl logf (float);
571 extern long double __cdecl logl (long double);
572
573 /* 7.12.6.8 Double in C89 */
574 extern float __cdecl log10f (float);
575 extern long double __cdecl log10l (long double);
576
577 /* 7.12.6.9 */
578 extern double __cdecl log1p(double);
579 extern float __cdecl log1pf(float);
580 extern long double __cdecl log1pl(long double);
581
582 /* 7.12.6.10 */
583 extern double __cdecl log2 (double);
584 extern float __cdecl log2f (float);
585 extern long double __cdecl log2l (long double);
586
587 /* 7.12.6.11 */
588 extern double __cdecl logb (double);
589 extern float __cdecl logbf (float);
590 extern long double __cdecl logbl (long double);
591
592 /* Inline versions. GCC-4.0+ can do a better fast-math optimization
593 * with __builtins.
594 */
595 #ifndef __NO_INLINE__
596 #if !(__MINGW_GNUC_PREREQ (4, 0) && defined __FAST_MATH__ )
597 __CRT_INLINE double __cdecl logb (double x)
598 {
599 double res;
600 __asm__ ("fxtract\n\t"
601 "fstp %%st" : "=t" (res) : "0" (x));
602 return res;
603 }
604
605 __CRT_INLINE float __cdecl logbf (float x)
606 {
607 float res;
608 __asm__ ("fxtract\n\t"
609 "fstp %%st" : "=t" (res) : "0" (x));
610 return res;
611 }
612
613 __CRT_INLINE long double __cdecl logbl (long double x)
614 {
615 long double res;
616 __asm__ ("fxtract\n\t"
617 "fstp %%st" : "=t" (res) : "0" (x));
618 return res;
619 }
620 #endif /* !__FAST_MATH__ || !__MINGW_GNUC_PREREQ (4, 0) */
621 #endif /* !__NO_INLINE__ */
622
623 /* 7.12.6.12 Double in C89 */
624 extern float __cdecl modff (float, float*);
625 extern long double __cdecl modfl (long double, long double*);
626
627 /* 7.12.6.13 */
628 extern double __cdecl scalbn (double, int);
629 extern float __cdecl scalbnf (float, int);
630 extern long double __cdecl scalbnl (long double, int);
631
632 extern double __cdecl scalbln (double, long);
633 extern float __cdecl scalblnf (float, long);
634 extern long double __cdecl scalblnl (long double, long);
635
636 /* 7.12.7.1 */
637 /* Implementations adapted from Cephes versions */
638 extern double __cdecl cbrt (double);
639 extern float __cdecl cbrtf (float);
640 extern long double __cdecl cbrtl (long double);
641
642 /* 7.12.7.2 The fabs functions: Double in C89 */
643 extern float __cdecl fabsf (float x);
644 extern long double __cdecl fabsl (long double x);
645
646 /* 7.12.7.3 */
647 extern double __cdecl hypot (double, double); /* in libmoldname.a */
648 extern float __cdecl hypotf (float, float);
649 extern long double __cdecl hypotl (long double, long double);
650
651 /* 7.12.7.4 The pow functions. Double in C89 */
652 extern float __cdecl powf (float, float);
653 #ifndef __NO_INLINE__
654 __CRT_INLINE float __cdecl powf (float x, float y)
655 {return (float) pow (x, y);}
656 #endif
657 extern long double __cdecl powl (long double, long double);
658
659 /* 7.12.7.5 The sqrt functions. Double in C89. */
660 extern float __cdecl sqrtf (float);
661 extern long double __cdecl sqrtl (long double);
662
663 /* 7.12.8.1 The erf functions */
664 extern double __cdecl erf (double);
665 extern float __cdecl erff (float);
666 extern long double __cdecl erfl (long double);
667
668 /* 7.12.8.2 The erfc functions */
669 extern double __cdecl erfc (double);
670 extern float __cdecl erfcf (float);
671 extern long double __cdecl erfcl (long double);
672
673 /* 7.12.8.3 The lgamma functions */
674 extern double __cdecl lgamma (double);
675 extern float __cdecl lgammaf (float);
676 extern long double __cdecl lgammal (long double);
677
678 /* 7.12.8.4 The tgamma functions */
679 extern double __cdecl tgamma (double);
680 extern float __cdecl tgammaf (float);
681 extern long double __cdecl tgammal (long double);
682
683 /* 7.12.9.1 Double in C89 */
684 extern float __cdecl ceilf (float);
685 extern long double __cdecl ceill (long double);
686
687 /* 7.12.9.2 Double in C89 */
688 extern float __cdecl floorf (float);
689 extern long double __cdecl floorl (long double);
690
691 /* 7.12.9.3 */
692 extern double __cdecl nearbyint ( double);
693 extern float __cdecl nearbyintf (float);
694 extern long double __cdecl nearbyintl (long double);
695
696 /* 7.12.9.4 */
697 /* round, using fpu control word settings */
698 extern double __cdecl rint (double);
699 extern float __cdecl rintf (float);
700 extern long double __cdecl rintl (long double);
701
702 /* 7.12.9.5 */
703 extern long __cdecl lrint (double);
704 extern long __cdecl lrintf (float);
705 extern long __cdecl lrintl (long double);
706
707 extern long long __cdecl llrint (double);
708 extern long long __cdecl llrintf (float);
709 extern long long __cdecl llrintl (long double);
710
711 /* Inline versions of above.
712 * GCC 4.0+ can do a better fast-math job with __builtins.
713 */
714 #ifndef __NO_INLINE__
715 #if !(__MINGW_GNUC_PREREQ (4, 0) && defined __FAST_MATH__ )
716 __CRT_INLINE double __cdecl rint (double x)
717 {
718 double retval;
719 __asm__ ("frndint;": "=t" (retval) : "0" (x));
720 return retval;
721 }
722
723 __CRT_INLINE float __cdecl rintf (float x)
724 {
725 float retval;
726 __asm__ ("frndint;" : "=t" (retval) : "0" (x) );
727 return retval;
728 }
729
730 __CRT_INLINE long double __cdecl rintl (long double x)
731 {
732 long double retval;
733 __asm__ ("frndint;" : "=t" (retval) : "0" (x) );
734 return retval;
735 }
736
737 __CRT_INLINE long __cdecl lrint (double x)
738 {
739 long retval;
740 __asm__ __volatile__
741 ("fistpl %0" : "=m" (retval) : "t" (x) : "st");
742 return retval;
743 }
744
745 __CRT_INLINE long __cdecl lrintf (float x)
746 {
747 long retval;
748 __asm__ __volatile__
749 ("fistpl %0" : "=m" (retval) : "t" (x) : "st");
750 return retval;
751 }
752
753 __CRT_INLINE long __cdecl lrintl (long double x)
754 {
755 long retval;
756 __asm__ __volatile__
757 ("fistpl %0" : "=m" (retval) : "t" (x) : "st");
758 return retval;
759 }
760
761 __CRT_INLINE long long __cdecl llrint (double x)
762 {
763 long long retval;
764 __asm__ __volatile__
765 ("fistpll %0" : "=m" (retval) : "t" (x) : "st");
766 return retval;
767 }
768
769 __CRT_INLINE long long __cdecl llrintf (float x)
770 {
771 long long retval;
772 __asm__ __volatile__
773 ("fistpll %0" : "=m" (retval) : "t" (x) : "st");
774 return retval;
775 }
776
777 __CRT_INLINE long long __cdecl llrintl (long double x)
778 {
779 long long retval;
780 __asm__ __volatile__
781 ("fistpll %0" : "=m" (retval) : "t" (x) : "st");
782 return retval;
783 }
784 #endif /* !__FAST_MATH__ || !__MINGW_GNUC_PREREQ (4,0) */
785 #endif /* !__NO_INLINE__ */
786
787 /* 7.12.9.6 */
788 /* round away from zero, regardless of fpu control word settings */
789 extern double __cdecl round (double);
790 extern float __cdecl roundf (float);
791 extern long double __cdecl roundl (long double);
792
793 /* 7.12.9.7 */
794 extern long __cdecl lround (double);
795 extern long __cdecl lroundf (float);
796 extern long __cdecl lroundl (long double);
797
798 extern long long __cdecl llround (double);
799 extern long long __cdecl llroundf (float);
800 extern long long __cdecl llroundl (long double);
801
802 /* 7.12.9.8 */
803 /* round towards zero, regardless of fpu control word settings */
804 extern double __cdecl trunc (double);
805 extern float __cdecl truncf (float);
806 extern long double __cdecl truncl (long double);
807
808 /* 7.12.10.1 Double in C89 */
809 extern float __cdecl fmodf (float, float);
810 extern long double __cdecl fmodl (long double, long double);
811
812 /* 7.12.10.2 */
813 extern double __cdecl remainder (double, double);
814 extern float __cdecl remainderf (float, float);
815 extern long double __cdecl remainderl (long double, long double);
816
817 /* 7.12.10.3 */
818 extern double __cdecl remquo(double, double, int *);
819 extern float __cdecl remquof(float, float, int *);
820 extern long double __cdecl remquol(long double, long double, int *);
821
822 /* 7.12.11.1 */
823 extern double __cdecl copysign (double, double); /* in libmoldname.a */
824 extern float __cdecl copysignf (float, float);
825 extern long double __cdecl copysignl (long double, long double);
826
827 /* 7.12.11.2 Return a NaN */
828 extern double __cdecl nan(const char *tagp);
829 extern float __cdecl nanf(const char *tagp);
830 extern long double __cdecl nanl(const char *tagp);
831
832 #ifndef __STRICT_ANSI__
833 #define _nan() nan("")
834 #define _nanf() nanf("")
835 #define _nanl() nanl("")
836 #endif
837
838 /* 7.12.11.3 */
839 extern double __cdecl nextafter (double, double); /* in libmoldname.a */
840 extern float __cdecl nextafterf (float, float);
841 extern long double __cdecl nextafterl (long double, long double);
842
843 /* 7.12.11.4 The nexttoward functions */
844 extern double __cdecl nexttoward (double, long double);
845 extern float __cdecl nexttowardf (float, long double);
846 extern long double __cdecl nexttowardl (long double, long double);
847
848 /* 7.12.12.1 */
849 /* x > y ? (x - y) : 0.0 */
850 extern double __cdecl fdim (double x, double y);
851 extern float __cdecl fdimf (float x, float y);
852 extern long double __cdecl fdiml (long double x, long double y);
853
854 /* fmax and fmin.
855 NaN arguments are treated as missing data: if one argument is a NaN
856 and the other numeric, then these functions choose the numeric
857 value. */
858
859 /* 7.12.12.2 */
860 extern double __cdecl fmax (double, double);
861 extern float __cdecl fmaxf (float, float);
862 extern long double __cdecl fmaxl (long double, long double);
863
864 /* 7.12.12.3 */
865 extern double __cdecl fmin (double, double);
866 extern float __cdecl fminf (float, float);
867 extern long double __cdecl fminl (long double, long double);
868
869 /* 7.12.13.1 */
870 /* return x * y + z as a ternary op */
871 extern double __cdecl fma (double, double, double);
872 extern float __cdecl fmaf (float, float, float);
873 extern long double __cdecl fmal (long double, long double, long double);
874
875
876 /* 7.12.14
877 * With these functions, comparisons involving quiet NaNs set the FP
878 * condition code to "unordered". The IEEE floating-point spec
879 * dictates that the result of floating-point comparisons should be
880 * false whenever a NaN is involved, with the exception of the != op,
881 * which always returns true: yes, (NaN != NaN) is true).
882 */
883 #if __GNUC__ >= 3
884
885 #define isgreater(x, y) __builtin_isgreater(x, y)
886 #define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
887 #define isless(x, y) __builtin_isless(x, y)
888 #define islessequal(x, y) __builtin_islessequal(x, y)
889 #define islessgreater(x, y) __builtin_islessgreater(x, y)
890 #define isunordered(x, y) __builtin_isunordered(x, y)
891
892 #else /* __GNUC__ < 3 */
893 /* helper */
894 extern int __cdecl __fp_unordered_compare (long double, long double);
895 #ifndef __NO_INLINE__
896 __CRT_INLINE int __cdecl
897 __fp_unordered_compare (long double x, long double y){
898 unsigned short retval;
899 __asm__ ("fucom %%st(1);"
900 "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
901 return retval;
902 }
903 #endif /* !__NO_INLINE__ */
904
905 #define isgreater(x, y) ((__fp_unordered_compare(x, y) & 0x4500) == 0)
906 #define isless(x, y) ((__fp_unordered_compare(y, x) & 0x4500) == 0)
907 #define isgreaterequal(x, y) ((__fp_unordered_compare(x, y) & FP_INFINITE) == 0)
908 #define islessequal(x, y) ((__fp_unordered_compare(y, x) & FP_INFINITE) == 0)
909 #define islessgreater(x, y) ((__fp_unordered_compare(x, y) & FP_SUBNORMAL) == 0)
910 #define isunordered(x, y) ((__fp_unordered_compare(x, y) & 0x4500) == 0x4500)
911
912 #endif /* __GNUC__ < 3 */
913 #endif /* __cplusplus || _ISOC99_SOURCE */
914
915 _END_C_DECLS
916
917 #endif /* ! RC_INVOKED */
918 #endif /* !_MATH_H: $RCSfile: math.h,v $: end of file */