source: Daodan/MSYS2/mingw32/i686-w64-mingw32/include/math.h@ 1170

Last change on this file since 1170 was 1166, checked in by rossy, 3 years ago

Daodan: Replace MinGW build env with an up-to-date MSYS2 env
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[1166]1/**
2 * This file has no copyright assigned and is placed in the Public Domain.
3 * This file is part of the mingw-w64 runtime package.
4 * No warranty is given; refer to the file DISCLAIMER.PD within this package.
5 */
6#ifndef _MATH_H_
7#define _MATH_H_
8
9#ifdef __GNUC__
10#pragma GCC system_header
11#endif /* __GNUC__ */
12
13#include <crtdefs.h>
14
15struct _exception;
16
17#pragma pack(push,_CRT_PACKING)
18
19#define _DOMAIN 1 /* domain error in argument */
20#define _SING 2 /* singularity */
21#define _OVERFLOW 3 /* range overflow */
22#define _UNDERFLOW 4 /* range underflow */
23#define _TLOSS 5 /* total loss of precision */
24#define _PLOSS 6 /* partial loss of precision */
25
26#ifndef __STRICT_ANSI__
27#ifndef NO_OLDNAMES
28
29#define DOMAIN _DOMAIN
30#define SING _SING
31#define OVERFLOW _OVERFLOW
32#define UNDERFLOW _UNDERFLOW
33#define TLOSS _TLOSS
34#define PLOSS _PLOSS
35
36#endif
37#endif
38
39#if !defined(__STRICT_ANSI__) || defined(_POSIX_C_SOURCE) || defined(_POSIX_SOURCE) || defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE) || defined(_USE_MATH_DEFINES)
40#define M_E 2.7182818284590452354
41#define M_LOG2E 1.4426950408889634074
42#define M_LOG10E 0.43429448190325182765
43#define M_LN2 0.69314718055994530942
44#define M_LN10 2.30258509299404568402
45#define M_PI 3.14159265358979323846
46#define M_PI_2 1.57079632679489661923
47#define M_PI_4 0.78539816339744830962
48#define M_1_PI 0.31830988618379067154
49#define M_2_PI 0.63661977236758134308
50#define M_2_SQRTPI 1.12837916709551257390
51#define M_SQRT2 1.41421356237309504880
52#define M_SQRT1_2 0.70710678118654752440
53#endif
54
55#ifndef __STRICT_ANSI__
56/* See also float.h */
57#ifndef __MINGW_FPCLASS_DEFINED
58#define __MINGW_FPCLASS_DEFINED 1
59/* IEEE 754 classication */
60#define _FPCLASS_SNAN 0x0001 /* Signaling "Not a Number" */
61#define _FPCLASS_QNAN 0x0002 /* Quiet "Not a Number" */
62#define _FPCLASS_NINF 0x0004 /* Negative Infinity */
63#define _FPCLASS_NN 0x0008 /* Negative Normal */
64#define _FPCLASS_ND 0x0010 /* Negative Denormal */
65#define _FPCLASS_NZ 0x0020 /* Negative Zero */
66#define _FPCLASS_PZ 0x0040 /* Positive Zero */
67#define _FPCLASS_PD 0x0080 /* Positive Denormal */
68#define _FPCLASS_PN 0x0100 /* Positive Normal */
69#define _FPCLASS_PINF 0x0200 /* Positive Infinity */
70#endif
71#endif
72
73#ifndef RC_INVOKED
74
75#ifndef __mingw_types_compatible_p
76#ifdef __cplusplus
77extern "C++" {
78template <typename type1, typename type2> struct __mingw_types_compatible_p {
79 static const bool result = false;
80};
81
82template <typename type1> struct __mingw_types_compatible_p<type1, type1> {
83 static const bool result = true;
84};
85
86template <typename type1> struct __mingw_types_compatible_p<const type1, type1> {
87 static const bool result = true;
88};
89
90template <typename type1> struct __mingw_types_compatible_p<type1, const type1> {
91 static const bool result = true;
92};
93}
94
95#define __mingw_types_compatible_p(type1, type2) __mingw_types_compatible_p <type1, type2>::result
96#else
97#define __mingw_types_compatible_p(type1, type2) __builtin_types_compatible_p (type1, type2)
98#endif
99#endif
100
101#ifndef __mingw_choose_expr
102#ifdef __cplusplus
103#define __mingw_choose_expr(C, E1, E2) ((C) ? E1 : E2)
104#else
105#define __mingw_choose_expr __builtin_choose_expr
106#endif
107#endif
108
109
110#ifdef __cplusplus
111extern "C" {
112#endif
113
114#ifndef __MINGW_SOFTMATH
115#define __MINGW_SOFTMATH
116
117/* IEEE float/double type shapes. */
118
119 typedef union __mingw_dbl_type_t {
120 double x;
121 unsigned long long val;
122 __C89_NAMELESS struct {
123 unsigned int low, high;
124 } lh;
125 } __mingw_dbl_type_t;
126
127 typedef union __mingw_flt_type_t {
128 float x;
129 unsigned int val;
130 } __mingw_flt_type_t;
131
132 typedef union __mingw_ldbl_type_t
133 {
134 long double x;
135 __C89_NAMELESS struct {
136 unsigned int low, high;
137 int sign_exponent : 16;
138 int res1 : 16;
139 int res0 : 32;
140 } lh;
141 } __mingw_ldbl_type_t;
142
143#endif
144
145#ifndef _HUGE
146#ifdef _UCRT
147 extern double const _HUGE;
148#define _HUGE _HUGE
149#else
150 extern double * __MINGW_IMP_SYMBOL(_HUGE);
151#define _HUGE (* __MINGW_IMP_SYMBOL(_HUGE))
152#endif /* _UCRT */
153#endif
154
155#ifdef __GNUC__
156#define HUGE_VAL __builtin_huge_val()
157#else
158#define HUGE_VAL _HUGE
159#endif /* __GNUC__ */
160
161#ifndef _EXCEPTION_DEFINED
162#define _EXCEPTION_DEFINED
163 struct _exception {
164 int type;
165 const char *name;
166 double arg1;
167 double arg2;
168 double retval;
169 };
170
171 void __mingw_raise_matherr (int typ, const char *name, double a1, double a2,
172 double rslt);
173 void __mingw_setusermatherr (int (__cdecl *)(struct _exception *));
174 _CRTIMP void __setusermatherr(int (__cdecl *)(struct _exception *));
175 #define __setusermatherr __mingw_setusermatherr
176#endif
177
178 double __cdecl sin(double _X);
179 double __cdecl cos(double _X);
180 double __cdecl tan(double _X);
181 double __cdecl sinh(double _X);
182 double __cdecl cosh(double _X);
183 double __cdecl tanh(double _X);
184 double __cdecl asin(double _X);
185 double __cdecl acos(double _X);
186 double __cdecl atan(double _X);
187 double __cdecl atan2(double _Y,double _X);
188 double __cdecl exp(double _X);
189 double __cdecl log(double _X);
190 double __cdecl log10(double _X);
191 double __cdecl pow(double _X,double _Y);
192 double __cdecl sqrt(double _X);
193 double __cdecl ceil(double _X);
194 double __cdecl floor(double _X);
195
196/* 7.12.7.2 The fabs functions: Double in C89 */
197 extern float __cdecl fabsf (float x);
198 extern long double __cdecl fabsl (long double);
199 extern double __cdecl fabs (double _X);
200
201#ifndef __CRT__NO_INLINE
202#if !defined (__ia64__)
203 __CRT_INLINE float __cdecl fabsf (float x)
204 {
205#if defined(__x86_64__) || defined(__arm__) || defined(__aarch64__)
206 return __builtin_fabsf (x);
207#else
208 float res = 0.0F;
209 __asm__ __volatile__ ("fabs;" : "=t" (res) : "0" (x));
210 return res;
211#endif
212 }
213
214 __CRT_INLINE long double __cdecl fabsl (long double x)
215 {
216#if defined(__arm__) || defined(__aarch64__)
217 return __builtin_fabsl (x);
218#else
219 long double res = 0.0l;
220 __asm__ __volatile__ ("fabs;" : "=t" (res) : "0" (x));
221 return res;
222#endif
223 }
224
225 __CRT_INLINE double __cdecl fabs (double x)
226 {
227#if defined(__x86_64__) || defined(__arm__) || defined(__aarch64__)
228 return __builtin_fabs (x);
229#else
230 double res = 0.0;
231 __asm__ __volatile__ ("fabs;" : "=t" (res) : "0" (x));
232 return res;
233#endif
234 }
235#endif
236#endif
237
238 double __cdecl ldexp(double _X,int _Y);
239 double __cdecl frexp(double _X,int *_Y);
240 double __cdecl modf(double _X,double *_Y);
241 double __cdecl fmod(double _X,double _Y);
242
243 void __cdecl sincos (double __x, double *p_sin, double *p_cos);
244 void __cdecl sincosl (long double __x, long double *p_sin, long double *p_cos);
245 void __cdecl sincosf (float __x, float *p_sin, float *p_cos);
246
247#ifndef _CRT_ABS_DEFINED
248#define _CRT_ABS_DEFINED
249 int __cdecl abs(int _X);
250 long __cdecl labs(long _X);
251#endif
252#ifndef _CRT_ATOF_DEFINED
253#define _CRT_ATOF_DEFINED
254 double __cdecl atof(const char *_String);
255 double __cdecl _atof_l(const char *_String,_locale_t _Locale);
256#endif
257
258#define EDOM 33
259#define ERANGE 34
260
261#if !defined(__STRICT_ANSI__) || defined(_POSIX_C_SOURCE) || defined(_POSIX_SOURCE) || defined(_XOPEN_SOURCE) || defined(_GNU_SOURCE) || defined(_BSD_SOURCE)
262
263#ifndef _COMPLEX_DEFINED
264#define _COMPLEX_DEFINED
265 struct _complex {
266 double x;
267 double y;
268 };
269#endif
270
271 double __cdecl _cabs(struct _complex _ComplexA); /* Overridden to use our cabs. */
272 double __cdecl _hypot(double _X,double _Y);
273 _CRTIMP double __cdecl _j0(double _X);
274 _CRTIMP double __cdecl _j1(double _X);
275 _CRTIMP double __cdecl _jn(int _X,double _Y);
276 _CRTIMP double __cdecl _y0(double _X);
277 _CRTIMP double __cdecl _y1(double _X);
278 _CRTIMP double __cdecl _yn(int _X,double _Y);
279#ifndef _CRT_MATHERR_DEFINED
280#define _CRT_MATHERR_DEFINED
281 _CRTIMP int __cdecl _matherr (struct _exception *);
282#endif
283
284/* These are also declared in Mingw float.h; needed here as well to work
285 around GCC build issues. */
286/* BEGIN FLOAT.H COPY */
287/*
288 * IEEE recommended functions
289 */
290#ifndef _SIGN_DEFINED
291#define _SIGN_DEFINED
292 _CRTIMP double __cdecl _chgsign (double _X);
293 _CRTIMP double __cdecl _copysign (double _Number,double _Sign);
294 _CRTIMP double __cdecl _logb (double);
295 _CRTIMP double __cdecl _nextafter (double, double);
296 _CRTIMP double __cdecl _scalb (double, long);
297 _CRTIMP int __cdecl _finite (double);
298 _CRTIMP int __cdecl _fpclass (double);
299 _CRTIMP int __cdecl _isnan (double);
300#endif
301
302/* END FLOAT.H COPY */
303
304#if !defined(NO_OLDNAMES)
305
306_CRTIMP double __cdecl j0 (double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
307_CRTIMP double __cdecl j1 (double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
308_CRTIMP double __cdecl jn (int, double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
309_CRTIMP double __cdecl y0 (double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
310_CRTIMP double __cdecl y1 (double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
311_CRTIMP double __cdecl yn (int, double) __MINGW_ATTRIB_DEPRECATED_MSVC2005;
312
313_CRTIMP double __cdecl chgsign (double);
314/*
315 * scalb() is a GCC built-in.
316 * Exclude this _scalb() stub; the semantics are incompatible
317 * with the built-in implementation.
318 *
319_CRTIMP double __cdecl scalb (double, long);
320 *
321 */
322 _CRTIMP int __cdecl finite (double);
323 _CRTIMP int __cdecl fpclass (double);
324
325#define FP_SNAN _FPCLASS_SNAN
326#define FP_QNAN _FPCLASS_QNAN
327#define FP_NINF _FPCLASS_NINF
328#define FP_PINF _FPCLASS_PINF
329#define FP_NDENORM _FPCLASS_ND
330#define FP_PDENORM _FPCLASS_PD
331#define FP_NZERO _FPCLASS_NZ
332#define FP_PZERO _FPCLASS_PZ
333#define FP_NNORM _FPCLASS_NN
334#define FP_PNORM _FPCLASS_PN
335
336#endif /* !defined (_NO_OLDNAMES) && !define (NO_OLDNAMES) */
337
338#if(defined(_X86_) && !defined(__x86_64))
339 _CRTIMP int __cdecl _set_SSE2_enable(int _Flag);
340#endif
341
342#endif
343
344#ifndef __NO_ISOCEXT
345#if (defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L) \
346 || !defined __STRICT_ANSI__ || defined __cplusplus
347
348#ifdef __GNUC__
349#define HUGE_VALF __builtin_huge_valf()
350#define HUGE_VALL __builtin_huge_vall()
351#define INFINITY __builtin_inff()
352#define NAN __builtin_nanf("")
353#else
354extern const float __INFF;
355#define HUGE_VALF __INFF
356extern const long double __INFL;
357#define HUGE_VALL __INFL
358#define INFINITY HUGE_VALF
359extern const double __QNANF;
360#define NAN __QNANF
361#endif /* __GNUC__ */
362
363/* Use the compiler's builtin define for FLT_EVAL_METHOD to
364 set float_t and double_t. */
365#if defined (__x86_64__) || defined(__FLT_EVAL_METHOD__)
366# if defined (__x86_64__) || ( __FLT_EVAL_METHOD__== 0)
367typedef float float_t;
368typedef double double_t;
369# elif (__FLT_EVAL_METHOD__ == 1)
370typedef double float_t;
371typedef double double_t;
372# else /* (__FLT_EVAL_METHOD__ == 2) default ix87 FPU */
373typedef long double float_t;
374typedef long double double_t;
375#endif
376#else /* ix87 FPU default */
377typedef long double float_t;
378typedef long double double_t;
379#endif
380
381/* 7.12.3.1 */
382/*
383 Return values for fpclassify.
384 These are based on Intel x87 fpu condition codes
385 in the high byte of status word and differ from
386 the return values for MS IEEE 754 extension _fpclass()
387*/
388#define FP_NAN 0x0100
389#define FP_NORMAL 0x0400
390#define FP_INFINITE (FP_NAN | FP_NORMAL)
391#define FP_ZERO 0x4000
392#define FP_SUBNORMAL (FP_NORMAL | FP_ZERO)
393/* 0x0200 is signbit mask */
394
395/*
396 We can't inline float or double, because we want to ensure truncation
397 to semantic type before classification.
398 (A normal long double value might become subnormal when
399 converted to double, and zero when converted to float.)
400*/
401
402 extern int __cdecl __fpclassifyl (long double);
403 extern int __cdecl __fpclassifyf (float);
404 extern int __cdecl __fpclassify (double);
405
406#ifndef __CRT__NO_INLINE
407 __CRT_INLINE int __cdecl __fpclassifyl (long double x) {
408#if defined(__x86_64__) || defined(_AMD64_)
409 __mingw_ldbl_type_t hlp;
410 unsigned int e;
411 hlp.x = x;
412 e = hlp.lh.sign_exponent & 0x7fff;
413 if (!e)
414 {
415 unsigned int h = hlp.lh.high;
416 if (!(hlp.lh.low | h))
417 return FP_ZERO;
418 else if (!(h & 0x80000000))
419 return FP_SUBNORMAL;
420 }
421 else if (e == 0x7fff)
422 return (((hlp.lh.high & 0x7fffffff) | hlp.lh.low) == 0 ?
423 FP_INFINITE : FP_NAN);
424 return FP_NORMAL;
425#elif defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
426 return __fpclassify(x);
427#elif defined(__i386__) || defined(_X86_)
428 unsigned short sw;
429 __asm__ __volatile__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
430 return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
431#endif
432 }
433 __CRT_INLINE int __cdecl __fpclassify (double x) {
434#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
435 __mingw_dbl_type_t hlp;
436 unsigned int l, h;
437
438 hlp.x = x;
439 h = hlp.lh.high;
440 l = hlp.lh.low | (h & 0xfffff);
441 h &= 0x7ff00000;
442 if ((h | l) == 0)
443 return FP_ZERO;
444 if (!h)
445 return FP_SUBNORMAL;
446 if (h == 0x7ff00000)
447 return (l ? FP_NAN : FP_INFINITE);
448 return FP_NORMAL;
449#elif defined(__i386__) || defined(_X86_)
450 unsigned short sw;
451 __asm__ __volatile__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
452 return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
453#endif
454 }
455 __CRT_INLINE int __cdecl __fpclassifyf (float x) {
456#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
457 __mingw_flt_type_t hlp;
458
459 hlp.x = x;
460 hlp.val &= 0x7fffffff;
461 if (hlp.val == 0)
462 return FP_ZERO;
463 if (hlp.val < 0x800000)
464 return FP_SUBNORMAL;
465 if (hlp.val >= 0x7f800000)
466 return (hlp.val > 0x7f800000 ? FP_NAN : FP_INFINITE);
467 return FP_NORMAL;
468#elif defined(__i386__) || defined(_X86_)
469 unsigned short sw;
470 __asm__ __volatile__ ("fxam; fstsw %%ax;" : "=a" (sw): "t" (x));
471 return sw & (FP_NAN | FP_NORMAL | FP_ZERO );
472#endif
473 }
474#endif
475
476#ifdef __STDC_WANT_DEC_FP__
477#define __dfp_expansion(__call,__fin,x) \
478__mingw_choose_expr ( \
479 __mingw_types_compatible_p (__typeof__ (x), _Decimal32), \
480 __call##d32(x), \
481 __mingw_choose_expr ( \
482 __mingw_types_compatible_p (__typeof__ (x), _Decimal64), \
483 __call##d64(x), \
484 __mingw_choose_expr ( \
485 __mingw_types_compatible_p (__typeof__ (x), _Decimal128), \
486 __call##d128(x), \
487__fin)))
488#else
489#define __dfp_expansion(__call,__fin,x) __fin
490#endif
491
492#define fpclassify(x) \
493__mingw_choose_expr ( \
494 __mingw_types_compatible_p (__typeof__ (x), double), \
495 __fpclassify(x), \
496 __mingw_choose_expr ( \
497 __mingw_types_compatible_p (__typeof__ (x), float), \
498 __fpclassifyf(x), \
499 __mingw_choose_expr ( \
500 __mingw_types_compatible_p (__typeof__ (x), long double), \
501 __fpclassifyl(x), \
502 __dfp_expansion(__fpclassify,(__builtin_trap(),0),x))))
503
504
505/* 7.12.3.2 */
506#define isfinite(x) ((fpclassify(x) & FP_NAN) == 0)
507
508/* 7.12.3.3 */
509#define isinf(x) (fpclassify(x) == FP_INFINITE)
510
511/* 7.12.3.4 */
512/* We don't need to worry about truncation here:
513 A NaN stays a NaN. */
514
515 extern int __cdecl __isnan (double);
516 extern int __cdecl __isnanf (float);
517 extern int __cdecl __isnanl (long double);
518
519#ifndef __CRT__NO_INLINE
520 __CRT_INLINE int __cdecl __isnan (double _x)
521 {
522#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
523 __mingw_dbl_type_t hlp;
524 int l, h;
525
526 hlp.x = _x;
527 l = hlp.lh.low;
528 h = hlp.lh.high & 0x7fffffff;
529 h |= (unsigned int) (l | -l) >> 31;
530 h = 0x7ff00000 - h;
531 return (int) ((unsigned int) h) >> 31;
532#elif defined(__i386__) || defined(_X86_)
533 unsigned short sw;
534 __asm__ __volatile__ ("fxam;"
535 "fstsw %%ax": "=a" (sw) : "t" (_x));
536 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
537 == FP_NAN;
538#endif
539 }
540
541 __CRT_INLINE int __cdecl __isnanf (float _x)
542 {
543#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
544 __mingw_flt_type_t hlp;
545 int i;
546
547 hlp.x = _x;
548 i = hlp.val & 0x7fffffff;
549 i = 0x7f800000 - i;
550 return (int) (((unsigned int) i) >> 31);
551#elif defined(__i386__) || defined(_X86_)
552 unsigned short sw;
553 __asm__ __volatile__ ("fxam;"
554 "fstsw %%ax": "=a" (sw) : "t" (_x));
555 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
556 == FP_NAN;
557#endif
558 }
559
560 __CRT_INLINE int __cdecl __isnanl (long double _x)
561 {
562#if defined(__x86_64__) || defined(_AMD64_)
563 __mingw_ldbl_type_t ld;
564 int xx, signexp;
565
566 ld.x = _x;
567 signexp = (ld.lh.sign_exponent & 0x7fff) << 1;
568 xx = (int) (ld.lh.low | (ld.lh.high & 0x7fffffffu)); /* explicit */
569 signexp |= (unsigned int) (xx | (-xx)) >> 31;
570 signexp = 0xfffe - signexp;
571 return (int) ((unsigned int) signexp) >> 16;
572#elif defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
573 return __isnan(_x);
574#elif defined(__i386__) || defined(_X86_)
575 unsigned short sw;
576 __asm__ __volatile__ ("fxam;"
577 "fstsw %%ax": "=a" (sw) : "t" (_x));
578 return (sw & (FP_NAN | FP_NORMAL | FP_INFINITE | FP_ZERO | FP_SUBNORMAL))
579 == FP_NAN;
580#endif
581 }
582#endif
583
584
585
586#define isnan(x) \
587__mingw_choose_expr ( \
588 __mingw_types_compatible_p (__typeof__ (x), double), \
589 __isnan(x), \
590 __mingw_choose_expr ( \
591 __mingw_types_compatible_p (__typeof__ (x), float), \
592 __isnanf(x), \
593 __mingw_choose_expr ( \
594 __mingw_types_compatible_p (__typeof__ (x), long double), \
595 __isnanl(x), \
596 __dfp_expansion(__isnan,(__builtin_trap(),x),x))))
597
598/* 7.12.3.5 */
599#define isnormal(x) (fpclassify(x) == FP_NORMAL)
600
601/* 7.12.3.6 The signbit macro */
602 extern int __cdecl __signbit (double);
603 extern int __cdecl __signbitf (float);
604 extern int __cdecl __signbitl (long double);
605#ifndef __CRT__NO_INLINE
606 __CRT_INLINE int __cdecl __signbit (double x) {
607#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
608 __mingw_dbl_type_t hlp;
609
610 hlp.x = x;
611 return ((hlp.lh.high & 0x80000000) != 0);
612#elif defined(__i386__) || defined(_X86_)
613 unsigned short stw;
614 __asm__ __volatile__ ( "fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
615 return stw & 0x0200;
616#endif
617 }
618
619 __CRT_INLINE int __cdecl __signbitf (float x) {
620#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
621 __mingw_flt_type_t hlp;
622 hlp.x = x;
623 return ((hlp.val & 0x80000000) != 0);
624#elif defined(__i386__) || defined(_X86_)
625 unsigned short stw;
626 __asm__ __volatile__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
627 return stw & 0x0200;
628#endif
629 }
630
631 __CRT_INLINE int __cdecl __signbitl (long double x) {
632#if defined(__x86_64__) || defined(_AMD64_)
633 __mingw_ldbl_type_t ld;
634 ld.x = x;
635 return ((ld.lh.sign_exponent & 0x8000) != 0);
636#elif defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
637 return __signbit(x);
638#elif defined(__i386__) || defined(_X86_)
639 unsigned short stw;
640 __asm__ __volatile__ ("fxam; fstsw %%ax;": "=a" (stw) : "t" (x));
641 return stw & 0x0200;
642#endif
643 }
644#endif
645
646#define signbit(x) \
647__mingw_choose_expr ( \
648 __mingw_types_compatible_p (__typeof__ (x), double), \
649 __signbit(x), \
650 __mingw_choose_expr ( \
651 __mingw_types_compatible_p (__typeof__ (x), float), \
652 __signbitf(x), \
653 __mingw_choose_expr ( \
654 __mingw_types_compatible_p (__typeof__ (x), long double), \
655 __signbitl(x), \
656 __dfp_expansion(__signbit,(__builtin_trap(),x),x))))
657
658/* 7.12.4 Trigonometric functions: Double in C89 */
659 extern float __cdecl sinf(float _X);
660 extern long double __cdecl sinl(long double);
661
662 extern float __cdecl cosf(float _X);
663 extern long double __cdecl cosl(long double);
664
665 extern float __cdecl tanf(float _X);
666 extern long double __cdecl tanl(long double);
667 extern float __cdecl asinf(float _X);
668 extern long double __cdecl asinl(long double);
669
670 extern float __cdecl acosf (float);
671 extern long double __cdecl acosl (long double);
672
673 extern float __cdecl atanf (float);
674 extern long double __cdecl atanl (long double);
675
676 extern float __cdecl atan2f (float, float);
677 extern long double __cdecl atan2l (long double, long double);
678
679/* 7.12.5 Hyperbolic functions: Double in C89 */
680 extern float __cdecl sinhf(float _X);
681#ifndef __CRT__NO_INLINE
682 __CRT_INLINE float sinhf(float _X) { return ((float)sinh((double)_X)); }
683#endif
684 extern long double __cdecl sinhl(long double);
685
686 extern float __cdecl coshf(float _X);
687#ifndef __CRT__NO_INLINE
688 __CRT_INLINE float coshf(float _X) { return ((float)cosh((double)_X)); }
689#endif
690 extern long double __cdecl coshl(long double);
691
692 extern float __cdecl tanhf(float _X);
693#ifndef __CRT__NO_INLINE
694 __CRT_INLINE float tanhf(float _X) { return ((float)tanh((double)_X)); }
695#endif
696 extern long double __cdecl tanhl(long double);
697
698/* Inverse hyperbolic trig functions */
699/* 7.12.5.1 */
700 extern double __cdecl acosh (double);
701 extern float __cdecl acoshf (float);
702 extern long double __cdecl acoshl (long double);
703
704/* 7.12.5.2 */
705 extern double __cdecl asinh (double);
706 extern float __cdecl asinhf (float);
707 extern long double __cdecl asinhl (long double);
708
709/* 7.12.5.3 */
710 extern double __cdecl atanh (double);
711 extern float __cdecl atanhf (float);
712 extern long double __cdecl atanhl (long double);
713
714/* Exponentials and logarithms */
715/* 7.12.6.1 Double in C89 */
716 extern float __cdecl expf(float _X);
717#ifndef __CRT__NO_INLINE
718 __CRT_INLINE float expf(float _X) { return ((float)exp((double)_X)); }
719#endif
720 extern long double __cdecl expl(long double);
721
722/* 7.12.6.2 */
723 extern double __cdecl exp2(double);
724 extern float __cdecl exp2f(float);
725 extern long double __cdecl exp2l(long double);
726
727/* 7.12.6.3 The expm1 functions */
728/* TODO: These could be inlined */
729 extern double __cdecl expm1(double);
730 extern float __cdecl expm1f(float);
731 extern long double __cdecl expm1l(long double);
732
733/* 7.12.6.4 Double in C89 */
734 extern float frexpf(float _X,int *_Y);
735#ifndef __CRT__NO_INLINE
736 __CRT_INLINE float frexpf(float _X,int *_Y) { return ((float)frexp((double)_X,_Y)); }
737#endif
738 extern long double __cdecl frexpl(long double,int *);
739
740/* 7.12.6.5 */
741#define FP_ILOGB0 ((int)0x80000000)
742#define FP_ILOGBNAN ((int)0x7fffffff)
743 extern int __cdecl ilogb (double);
744 extern int __cdecl ilogbf (float);
745 extern int __cdecl ilogbl (long double);
746
747/* 7.12.6.6 Double in C89 */
748 extern float __cdecl ldexpf(float _X,int _Y);
749#ifndef __CRT__NO_INLINE
750 __CRT_INLINE float __cdecl ldexpf (float x, int expn) { return (float) ldexp ((double)x, expn); }
751#endif
752 extern long double __cdecl ldexpl (long double, int);
753
754/* 7.12.6.7 Double in C89 */
755 extern float __cdecl logf (float);
756 extern long double __cdecl logl(long double);
757
758/* 7.12.6.8 Double in C89 */
759 extern float __cdecl log10f (float);
760 extern long double __cdecl log10l(long double);
761
762/* 7.12.6.9 */
763 extern double __cdecl log1p(double);
764 extern float __cdecl log1pf(float);
765 extern long double __cdecl log1pl(long double);
766
767/* 7.12.6.10 */
768 extern double __cdecl log2 (double);
769 extern float __cdecl log2f (float);
770 extern long double __cdecl log2l (long double);
771
772/* 7.12.6.11 */
773 extern double __cdecl logb (double);
774 extern float __cdecl logbf (float);
775 extern long double __cdecl logbl (long double);
776
777#ifndef __CRT__NO_INLINE
778/* When compiling with gcc, always use gcc's builtins.
779 * The asm inlines below are kept here for future reference:
780 * they were written for gcc and do no error handling
781 * (exceptions/errno), therefore only valid if __FAST_MATH__
782 * is defined (-ffast-math) . */
783#if 0 /*defined(__GNUC__) && defined(__FAST_MATH__)*/
784 __CRT_INLINE double __cdecl logb (double x)
785 {
786#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
787 __mingw_dbl_type_t hlp;
788 int lx, hx;
789
790 hlp.x = x;
791 lx = hlp.lh.low;
792 hx = hlp.lh.high & 0x7fffffff; /* high |x| */
793 if ((hx | lx) == 0)
794 return -1.0 / fabs (x);
795 if (hx >= 0x7ff00000)
796 return x * x;
797 if ((hx >>= 20) == 0) {
798 unsigned long long mantissa = hlp.val & 0xfffffffffffffULL;
799 return -1023.0 - (__builtin_clzll(mantissa) - 12);
800 }
801 return (double) (hx - 1023);
802#elif defined(__i386__) || defined(_X86_)
803 double res = 0.0;
804 __asm__ __volatile__ ("fxtract\n\t"
805 "fstp %%st" : "=t" (res) : "0" (x));
806 return res;
807#endif
808 }
809
810 __CRT_INLINE float __cdecl logbf (float x)
811 {
812#if defined(__x86_64__) || defined(_AMD64_) || defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
813 int v;
814 __mingw_flt_type_t hlp;
815
816 hlp.x = x;
817 v = hlp.val & 0x7fffffff; /* high |x| */
818 if (!v)
819 return (float)-1.0 / fabsf (x);
820 if (v >= 0x7f800000)
821 return x * x;
822 if ((v >>= 23) == 0)
823 return -127.0 - (__builtin_clzl(hlp.val & 0x7fffff) - 9);
824 return (float) (v - 127);
825#elif defined(__i386__) || defined(_X86_)
826 float res = 0.0F;
827 __asm__ __volatile__ ("fxtract\n\t"
828 "fstp %%st" : "=t" (res) : "0" (x));
829 return res;
830#endif
831 }
832
833 __CRT_INLINE long double __cdecl logbl (long double x)
834 {
835#if defined(__arm__) || defined(_ARM_) || defined(__aarch64__) || defined(_ARM64_)
836 __mingw_ldbl_type_t hlp;
837 int lx, hx;
838
839 hlp.x = x;
840 lx = hlp.lh.low;
841 hx = hlp.lh.high & 0x7fffffff; /* high |x| */
842 if ((hx | lx) == 0)
843 return -1.0 / fabs (x);
844 if (hx >= 0x7ff00000)
845 return x * x;
846 if ((hx >>= 20) == 0) {
847 unsigned long long mantissa = hlp.val & 0xfffffffffffffULL;
848 return -1023.0 - (__builtin_clzll(mantissa) - 12);
849 }
850 return (double) (hx - 1023);
851#elif defined(__x86_64__) || defined(_AMD64_) || defined(__i386__) || defined(_X86_)
852 long double res = 0.0l;
853 __asm__ __volatile__ ("fxtract\n\t"
854 "fstp %%st" : "=t" (res) : "0" (x));
855 return res;
856#endif
857 }
858#endif /* defined(__GNUC__) && defined(__FAST_MATH__) */
859#endif /* __CRT__NO_INLINE */
860
861/* 7.12.6.12 Double in C89 */
862 extern float __cdecl modff (float, float*);
863 extern long double __cdecl modfl (long double, long double*);
864
865/* 7.12.6.13 */
866 extern double __cdecl scalbn (double, int);
867 extern float __cdecl scalbnf (float, int);
868 extern long double __cdecl scalbnl (long double, int);
869
870 extern double __cdecl scalbln (double, long);
871 extern float __cdecl scalblnf (float, long);
872 extern long double __cdecl scalblnl (long double, long);
873
874/* 7.12.7.1 */
875/* Implementations adapted from Cephes versions */
876 extern double __cdecl cbrt (double);
877 extern float __cdecl cbrtf (float);
878 extern long double __cdecl cbrtl (long double);
879
880/* 7.12.7.3 */
881 extern double __cdecl hypot (double, double) __MINGW_ATTRIB_DEPRECATED_MSVC2005; /* in libmoldname.a */
882 extern float __cdecl hypotf (float x, float y);
883#ifndef __CRT__NO_INLINE
884 __CRT_INLINE float __cdecl hypotf (float x, float y) { return (float) hypot ((double)x, (double)y);}
885#endif
886 extern long double __cdecl hypotl (long double, long double);
887
888/* 7.12.7.4 The pow functions. Double in C89 */
889 extern float __cdecl powf(float _X,float _Y);
890#ifndef __CRT__NO_INLINE
891 __CRT_INLINE float powf(float _X,float _Y) { return ((float)pow((double)_X,(double)_Y)); }
892#endif
893 extern long double __cdecl powl (long double, long double);
894
895/* 7.12.7.5 The sqrt functions. Double in C89. */
896 extern float __cdecl sqrtf (float);
897 extern long double sqrtl(long double);
898
899/* 7.12.8.1 The erf functions */
900 extern double __cdecl erf (double);
901 extern float __cdecl erff (float);
902 extern long double __cdecl erfl (long double);
903
904/* 7.12.8.2 The erfc functions */
905 extern double __cdecl erfc (double);
906 extern float __cdecl erfcf (float);
907 extern long double __cdecl erfcl (long double);
908
909/* 7.12.8.3 The lgamma functions */
910 extern double __cdecl lgamma (double);
911 extern float __cdecl lgammaf (float);
912 extern long double __cdecl lgammal (long double);
913
914 extern int signgam;
915
916/* 7.12.8.4 The tgamma functions */
917 extern double __cdecl tgamma (double);
918 extern float __cdecl tgammaf (float);
919 extern long double __cdecl tgammal (long double);
920
921/* 7.12.9.1 Double in C89 */
922 extern float __cdecl ceilf (float);
923 extern long double __cdecl ceill (long double);
924
925/* 7.12.9.2 Double in C89 */
926 extern float __cdecl floorf (float);
927 extern long double __cdecl floorl (long double);
928
929/* 7.12.9.3 */
930 extern double __cdecl nearbyint ( double);
931 extern float __cdecl nearbyintf (float);
932 extern long double __cdecl nearbyintl (long double);
933
934/* 7.12.9.4 */
935/* round, using fpu control word settings */
936extern double __cdecl rint (double);
937extern float __cdecl rintf (float);
938extern long double __cdecl rintl (long double);
939
940/* 7.12.9.5 */
941extern long __cdecl lrint (double);
942extern long __cdecl lrintf (float);
943extern long __cdecl lrintl (long double);
944
945__MINGW_EXTENSION long long __cdecl llrint (double);
946__MINGW_EXTENSION long long __cdecl llrintf (float);
947__MINGW_EXTENSION long long __cdecl llrintl (long double);
948
949#ifndef __CRT__NO_INLINE
950/* When compiling with gcc, always use gcc's builtins.
951 * The asm inlines below are kept here for future reference:
952 * they were written for gcc and do no error handling
953 * (exceptions/errno), therefore only valid if __FAST_MATH__
954 * is defined (-ffast-math) . */
955#if 0 /*defined(__GNUC__) && defined(__FAST_MATH__)*/
956 __CRT_INLINE double __cdecl rint (double x)
957 {
958 double retval = 0.0;
959 __asm__ __volatile__ ("frndint;": "=t" (retval) : "0" (x));
960 return retval;
961 }
962
963 __CRT_INLINE float __cdecl rintf (float x)
964 {
965 float retval = 0.0;
966 __asm__ __volatile__ ("frndint;" : "=t" (retval) : "0" (x) );
967 return retval;
968 }
969
970 __CRT_INLINE long double __cdecl rintl (long double x)
971 {
972 long double retval = 0.0l;
973 __asm__ __volatile__ ("frndint;" : "=t" (retval) : "0" (x) );
974 return retval;
975 }
976
977 __CRT_INLINE long __cdecl lrint (double x)
978 {
979 long retval = 0;
980 __asm__ __volatile__ \
981 ("fistpl %0" : "=m" (retval) : "t" (x) : "st"); \
982 return retval;
983 }
984
985 __CRT_INLINE long __cdecl lrintf (float x)
986 {
987 long retval = 0;
988 __asm__ __volatile__ \
989 ("fistpl %0" : "=m" (retval) : "t" (x) : "st"); \
990 return retval;
991 }
992
993 __CRT_INLINE long __cdecl lrintl (long double x)
994 {
995 long retval = 0;
996 __asm__ __volatile__ \
997 ("fistpl %0" : "=m" (retval) : "t" (x) : "st"); \
998 return retval;
999 }
1000
1001 __MINGW_EXTENSION __CRT_INLINE long long __cdecl llrint (double x)
1002 {
1003 __MINGW_EXTENSION long long retval = 0ll;
1004 __asm__ __volatile__ \
1005 ("fistpll %0" : "=m" (retval) : "t" (x) : "st"); \
1006 return retval;
1007 }
1008
1009 __MINGW_EXTENSION __CRT_INLINE long long __cdecl llrintf (float x)
1010 {
1011 __MINGW_EXTENSION long long retval = 0ll;
1012 __asm__ __volatile__ \
1013 ("fistpll %0" : "=m" (retval) : "t" (x) : "st"); \
1014 return retval;
1015 }
1016
1017 __MINGW_EXTENSION __CRT_INLINE long long __cdecl llrintl (long double x)
1018 {
1019 __MINGW_EXTENSION long long retval = 0ll;
1020 __asm__ __volatile__ \
1021 ("fistpll %0" : "=m" (retval) : "t" (x) : "st"); \
1022 return retval;
1023 }
1024#endif /* defined(__GNUC__) && defined(__FAST_MATH__) */
1025#endif /* !__CRT__NO_INLINE */
1026
1027/* 7.12.9.6 */
1028/* round away from zero, regardless of fpu control word settings */
1029 extern double __cdecl round (double);
1030 extern float __cdecl roundf (float);
1031 extern long double __cdecl roundl (long double);
1032
1033/* 7.12.9.7 */
1034 extern long __cdecl lround (double);
1035 extern long __cdecl lroundf (float);
1036 extern long __cdecl lroundl (long double);
1037 __MINGW_EXTENSION long long __cdecl llround (double);
1038 __MINGW_EXTENSION long long __cdecl llroundf (float);
1039 __MINGW_EXTENSION long long __cdecl llroundl (long double);
1040
1041/* 7.12.9.8 */
1042/* round towards zero, regardless of fpu control word settings */
1043 extern double __cdecl trunc (double);
1044 extern float __cdecl truncf (float);
1045 extern long double __cdecl truncl (long double);
1046
1047/* 7.12.10.1 Double in C89 */
1048 extern float __cdecl fmodf (float, float);
1049 extern long double __cdecl fmodl (long double, long double);
1050
1051/* 7.12.10.2 */
1052 extern double __cdecl remainder (double, double);
1053 extern float __cdecl remainderf (float, float);
1054 extern long double __cdecl remainderl (long double, long double);
1055
1056/* 7.12.10.3 */
1057 extern double __cdecl remquo(double, double, int *);
1058 extern float __cdecl remquof(float, float, int *);
1059 extern long double __cdecl remquol(long double, long double, int *);
1060
1061/* 7.12.11.1 */
1062 extern double __cdecl copysign (double, double); /* in libmoldname.a */
1063 extern float __cdecl copysignf (float, float);
1064 extern long double __cdecl copysignl (long double, long double);
1065
1066#ifndef __CRT__NO_INLINE
1067#if !defined (__ia64__)
1068 __CRT_INLINE double __cdecl copysign (double x, double y)
1069 {
1070 __mingw_dbl_type_t hx, hy;
1071 hx.x = x; hy.x = y;
1072 hx.lh.high = (hx.lh.high & 0x7fffffff) | (hy.lh.high & 0x80000000);
1073 return hx.x;
1074 }
1075 __CRT_INLINE float __cdecl copysignf (float x, float y)
1076 {
1077 __mingw_flt_type_t hx, hy;
1078 hx.x = x; hy.x = y;
1079 hx.val = (hx.val & 0x7fffffff) | (hy.val & 0x80000000);
1080 return hx.x;
1081 }
1082#endif
1083#endif
1084
1085/* 7.12.11.2 Return a NaN */
1086 extern double __cdecl nan(const char *tagp);
1087 extern float __cdecl nanf(const char *tagp);
1088 extern long double __cdecl nanl(const char *tagp);
1089
1090#ifndef __STRICT_ANSI__
1091#define _nan() nan("")
1092#define _nanf() nanf("")
1093#define _nanl() nanl("")
1094#endif
1095
1096/* 7.12.11.3 */
1097 extern double __cdecl nextafter (double, double); /* in libmoldname.a */
1098 extern float __cdecl nextafterf (float, float);
1099 extern long double __cdecl nextafterl (long double, long double);
1100
1101/* 7.12.11.4 The nexttoward functions */
1102 extern double __cdecl nexttoward (double, long double);
1103 extern float __cdecl nexttowardf (float, long double);
1104 extern long double __cdecl nexttowardl (long double, long double);
1105
1106/* 7.12.12.1 */
1107/* x > y ? (x - y) : 0.0 */
1108 extern double __cdecl fdim (double x, double y);
1109 extern float __cdecl fdimf (float x, float y);
1110 extern long double __cdecl fdiml (long double x, long double y);
1111
1112/* fmax and fmin.
1113 NaN arguments are treated as missing data: if one argument is a NaN
1114 and the other numeric, then these functions choose the numeric
1115 value. */
1116
1117/* 7.12.12.2 */
1118 extern double __cdecl fmax (double, double);
1119 extern float __cdecl fmaxf (float, float);
1120 extern long double __cdecl fmaxl (long double, long double);
1121
1122/* 7.12.12.3 */
1123 extern double __cdecl fmin (double, double);
1124 extern float __cdecl fminf (float, float);
1125 extern long double __cdecl fminl (long double, long double);
1126
1127/* 7.12.13.1 */
1128/* return x * y + z as a ternary op */
1129 extern double __cdecl fma (double, double, double);
1130 extern float __cdecl fmaf (float, float, float);
1131 extern long double __cdecl fmal (long double, long double, long double);
1132
1133/* 7.12.14 */
1134/*
1135 * With these functions, comparisons involving quiet NaNs set the FP
1136 * condition code to "unordered". The IEEE floating-point spec
1137 * dictates that the result of floating-point comparisons should be
1138 * false whenever a NaN is involved, with the exception of the != op,
1139 * which always returns true: yes, (NaN != NaN) is true).
1140 */
1141
1142#ifdef __GNUC__
1143
1144#define isgreater(x, y) __builtin_isgreater(x, y)
1145#define isgreaterequal(x, y) __builtin_isgreaterequal(x, y)
1146#define isless(x, y) __builtin_isless(x, y)
1147#define islessequal(x, y) __builtin_islessequal(x, y)
1148#define islessgreater(x, y) __builtin_islessgreater(x, y)
1149#define isunordered(x, y) __builtin_isunordered(x, y)
1150
1151#else
1152/* helper */
1153#ifndef __CRT__NO_INLINE
1154 __CRT_INLINE int __cdecl
1155 __fp_unordered_compare (long double x, long double y){
1156 unsigned short retval;
1157 __asm__ __volatile__ ("fucom %%st(1);"
1158 "fnstsw;": "=a" (retval) : "t" (x), "u" (y));
1159 return retval;
1160 }
1161#endif /* __GNUC__ */
1162
1163#define isgreater(x, y) ((__fp_unordered_compare(x, y) & 0x4500) == 0)
1164#define isless(x, y) ((__fp_unordered_compare (y, x) & 0x4500) == 0)
1165#define isgreaterequal(x, y) ((__fp_unordered_compare (x, y) & FP_INFINITE) == 0)
1166#define islessequal(x, y) ((__fp_unordered_compare(y, x) & FP_INFINITE) == 0)
1167#define islessgreater(x, y) ((__fp_unordered_compare(x, y) & FP_SUBNORMAL) == 0)
1168#define isunordered(x, y) ((__fp_unordered_compare(x, y) & 0x4500) == 0x4500)
1169
1170#endif
1171
1172#endif /* __STDC_VERSION__ >= 199901L */
1173#endif /* __NO_ISOCEXT */
1174
1175#if defined(_X86_) && !defined(__x86_64)
1176 _CRTIMP float __cdecl _hypotf(float _X,float _Y);
1177#endif
1178
1179#if !defined(__ia64__)
1180 _CRTIMP float __cdecl _copysignf (float _Number,float _Sign);
1181 _CRTIMP float __cdecl _chgsignf (float _X);
1182 _CRTIMP float __cdecl _logbf(float _X);
1183 _CRTIMP float __cdecl _nextafterf(float _X,float _Y);
1184 _CRTIMP int __cdecl _finitef(float _X);
1185 _CRTIMP int __cdecl _isnanf(float _X);
1186 _CRTIMP int __cdecl _fpclassf(float _X);
1187#endif
1188
1189#ifdef _SIGN_DEFINED
1190 extern long double __cdecl _chgsignl (long double);
1191#define _copysignl copysignl
1192#endif /* _SIGN_DEFINED */
1193
1194#define _hypotl hypotl
1195
1196#ifndef NO_OLDNAMES
1197#define matherr _matherr
1198#define HUGE _HUGE
1199#endif
1200
1201/* Documentation on decimal float math
1202 http://h21007.www2.hp.com/portal/site/dspp/menuitem.863c3e4cbcdc3f3515b49c108973a801?ciid=8cf166fedd1aa110VgnVCM100000a360ea10RCRD
1203 */
1204#ifdef __STDC_WANT_DEC_FP__
1205
1206#define DEC_INFINITY __builtin_infd32()
1207#define DEC_NAN __builtin_nand32("")
1208
1209 extern int __cdecl __isnand32(_Decimal32 x);
1210 extern int __cdecl __isnand64(_Decimal64 x);
1211 extern int __cdecl __isnand128(_Decimal128 x);
1212 extern int __cdecl __fpclassifyd32 (_Decimal32);
1213 extern int __cdecl __fpclassifyd64 (_Decimal64);
1214 extern int __cdecl __fpclassifyd128 (_Decimal128);
1215 extern int __cdecl __signbitd32 (_Decimal32);
1216 extern int __cdecl __signbitd64 (_Decimal64);
1217 extern int __cdecl __signbitd128 (_Decimal128);
1218
1219#ifndef __CRT__NO_INLINE
1220 __CRT_INLINE __cdecl __isnand32(_Decimal32 x){
1221 return __builtin_isnand32(x);
1222 }
1223
1224 __CRT_INLINE __cdecl __isnand64(_Decimal64 x){
1225 return __builtin_isnand64(x);
1226 }
1227
1228 __CRT_INLINE __cdecl __isnand128(_Decimal128 x){
1229 return __builtin_isnand128(x);
1230 }
1231
1232 __CRT_INLINE int __cdecl __signbitd32 (_Decimal32 x){
1233 return __buintin_signbitd32(x);
1234 }
1235
1236 __CRT_INLINE int __cdecl __signbitd64 (_Decimal64 x){
1237 return __buintin_signbitd64(x);
1238 }
1239
1240 __CRT_INLINE int __cdecl __signbitd128 (_Decimal128 x){
1241 return __buintin_signbitd128(x);
1242 }
1243
1244#endif
1245
1246/* Still missing
1247#define HUGE_VAL_D32
1248#define HUGE_VAL_D64
1249#define HUGE_VAL_D128
1250*/
1251
1252/*** exponentials ***/
1253/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/expd64.3m.htm */
1254_Decimal64 __cdecl expd64(_Decimal64 _X);
1255_Decimal128 __cdecl expd128(_Decimal128 _X);
1256_Decimal32 __cdecl expd32(_Decimal32 _X);
1257
1258/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/exp2d64.3m.htm */
1259_Decimal64 __cdecl exp2d64(_Decimal64 _X);
1260_Decimal128 __cdecl exp2d128(_Decimal128 _X);
1261_Decimal32 __cdecl exp2d32(_Decimal32 _X);
1262
1263/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/exp10d64.3m.htm */
1264_Decimal64 __cdecl exp10d64(_Decimal64 _X);
1265_Decimal128 __cdecl exp10d128(_Decimal128 _X);
1266_Decimal32 __cdecl exp10d32(_Decimal32 _X);
1267
1268/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/expm1d64.3m.htm */
1269_Decimal64 __cdecl expm1d64(_Decimal64 _X);
1270_Decimal128 __cdecl expm1d128(_Decimal128 _X);
1271_Decimal32 __cdecl expm1d32(_Decimal32 _X);
1272
1273/*** logarithms ***/
1274/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/logd64.3m.htm */
1275_Decimal64 __cdecl logd64(_Decimal64 _X);
1276_Decimal128 __cdecl logd128(_Decimal128 _X);
1277_Decimal32 __cdecl logd32(_Decimal32 _X);
1278
1279/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/log2d64.3m.htm */
1280_Decimal64 __cdecl log2d64(_Decimal64 _X);
1281_Decimal128 __cdecl log2d128(_Decimal128 _X);
1282_Decimal32 __cdecl log2d32(_Decimal32 _X);
1283
1284/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/log10d64.3m.htm */
1285_Decimal64 __cdecl log10d64(_Decimal64 _X);
1286_Decimal128 __cdecl log10d128(_Decimal128 _X);
1287_Decimal32 __cdecl log10d32(_Decimal32 _X);
1288
1289/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/log1pd64.3m.htm */
1290_Decimal64 __cdecl log1pd64(_Decimal64 _X);
1291_Decimal128 __cdecl log1pd128(_Decimal128 _X);
1292_Decimal32 __cdecl log1pd32(_Decimal32 _X);
1293
1294/*** trigonometrics ***/
1295/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/cosd64.3m.htm */
1296_Decimal64 __cdecl cosd64(_Decimal64 _X);
1297_Decimal128 __cdecl cosd128(_Decimal128 _X);
1298_Decimal32 __cdecl cosd32(_Decimal32 _X);
1299
1300/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/sind64.3m.htm */
1301_Decimal64 __cdecl sind64(_Decimal64 _X);
1302_Decimal128 __cdecl sind128(_Decimal128 _X);
1303_Decimal32 __cdecl sind32(_Decimal32 _X);
1304
1305/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/tand64.3m.htm */
1306_Decimal64 __cdecl tand64(_Decimal64 _X);
1307_Decimal128 __cdecl tand128(_Decimal128 _X);
1308_Decimal32 __cdecl tand32(_Decimal32 _X);
1309
1310/*** inverse trigonometrics ***/
1311/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/acosd64.3m.htm */
1312_Decimal64 __cdecl acosd64(_Decimal64 _X);
1313_Decimal128 __cdecl acosd128(_Decimal128 _X);
1314_Decimal32 __cdecl acosd32(_Decimal32 _X);
1315
1316/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/asind64.3m.htm */
1317_Decimal64 __cdecl asind64(_Decimal64 _X);
1318_Decimal128 __cdecl asind128(_Decimal128 _X);
1319_Decimal32 __cdecl asind32(_Decimal32 _X);
1320
1321/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/atand64.3m.htm */
1322_Decimal64 __cdecl atand64(_Decimal64 _X);
1323_Decimal128 __cdecl atand128(_Decimal128 _X);
1324_Decimal32 __cdecl atand32(_Decimal32 _X);
1325
1326/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/atan2d64.3m.htm */
1327_Decimal64 __cdecl atan2d64(_Decimal64 _X, _Decimal64 _Y);
1328_Decimal128 __cdecl atan2d128(_Decimal128 _X, _Decimal128 _Y);
1329_Decimal32 __cdecl atan2d32(_Decimal32 _X, _Decimal32 _Y);
1330
1331/*** hyperbolics ***/
1332/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/coshd64.3m.htm */
1333_Decimal64 __cdecl coshd64(_Decimal64 _X);
1334_Decimal128 __cdecl coshd128(_Decimal128 _X);
1335_Decimal32 __cdecl coshd32(_Decimal32 _X);
1336
1337/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/sinhd64.3m.htm */
1338_Decimal64 __cdecl sinhd64(_Decimal64 _X);
1339_Decimal128 __cdecl sinhd128(_Decimal128 _X);
1340_Decimal32 __cdecl sinhd32(_Decimal32 _X);
1341
1342/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/tanhd64.3m.htm */
1343_Decimal64 __cdecl tanhd64(_Decimal64 _X);
1344_Decimal128 __cdecl tanhd128(_Decimal128 _X);
1345_Decimal32 __cdecl tanhd32(_Decimal32 _X);
1346
1347/*** inverse hyperbolics ***/
1348/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/acoshd64.3m.htm */
1349_Decimal64 __cdecl acoshd64(_Decimal64 _X);
1350_Decimal128 __cdecl acoshd128(_Decimal128 _X);
1351_Decimal32 __cdecl acoshd32(_Decimal32 _X);
1352
1353/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/asinhd64.3m.htm */
1354_Decimal64 __cdecl asinhd64(_Decimal64 _X);
1355_Decimal128 __cdecl asinhd128(_Decimal128 _X);
1356_Decimal32 __cdecl asinhd32(_Decimal32 _X);
1357
1358/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/atanhd64.3m.htm */
1359_Decimal64 __cdecl atanhd64(_Decimal64 _X);
1360_Decimal128 __cdecl atanhd128(_Decimal128 _X);
1361_Decimal32 __cdecl atanhd32(_Decimal32 _X);
1362
1363/*** square & cube roots, hypotenuse ***/
1364/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/sqrtd64.3m.htm */
1365_Decimal64 __cdecl sqrtd64(_Decimal64 _X);
1366_Decimal128 __cdecl sqrtd128(_Decimal128 _X);
1367_Decimal32 __cdecl sqrtd32(_Decimal32 _X);
1368
1369/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/cbrtd64.3m.htm */
1370_Decimal64 __cdecl cbrtd64(_Decimal64 _X);
1371_Decimal128 __cdecl cbrtd128(_Decimal128 _X);
1372_Decimal32 __cdecl cbrtd32(_Decimal32 _X);
1373
1374/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/hypotd64.3m.htm */
1375_Decimal64 __cdecl hypotd64(_Decimal64 _X, _Decimal64 _Y);
1376_Decimal128 __cdecl hypotd128(_Decimal128 _X, _Decimal128 _Y);
1377_Decimal32 __cdecl hypotd32(_Decimal32 _X, _Decimal32 _Y);
1378
1379/*** floating multiply-add ***/
1380/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fmad64.3m.htm */
1381_Decimal64 __cdecl fmad64(_Decimal64 _X, _Decimal64 y, _Decimal64 _Z);
1382_Decimal128 __cdecl fmad128(_Decimal128 _X, _Decimal128 y, _Decimal128 _Z);
1383_Decimal32 __cdecl fmad32(_Decimal32 _X, _Decimal32 y, _Decimal32 _Z);
1384
1385/*** exponent/significand ***/
1386/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/logbd64.3m.htm */
1387_Decimal64 __cdecl logbd64(_Decimal64 _X);
1388_Decimal128 __cdecl logbd128(_Decimal128 _X);
1389_Decimal32 __cdecl logbd32(_Decimal32 _X);
1390
1391/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/ilogbd64.3m.htm */
1392int __cdecl ilogbd64(_Decimal64 _X);
1393int __cdecl ilogbd128(_Decimal128 _X);
1394int __cdecl ilogbd32(_Decimal32 _X);
1395
1396/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/frexpd64.3m.htm */
1397_Decimal64 __cdecl frexpd64(_Decimal64 _X, int *_Y);
1398_Decimal128 __cdecl frexpd128(_Decimal128 _X, int *_Y);
1399_Decimal32 __cdecl frexpd32(_Decimal32 _X, int *_Y);
1400
1401/*** quantum ***/
1402/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/quantized64.3m.htm */
1403_Decimal64 __cdecl quantized64(_Decimal64 _X, _Decimal64 _Y);
1404_Decimal128 __cdecl quantized128(_Decimal128 _X, _Decimal128 _Y);
1405_Decimal32 __cdecl quantized32(_Decimal32 _X, _Decimal32 _Y);
1406
1407/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/samequantumd64.3m.htm */
1408_Bool __cdecl samequantumd64(_Decimal64 _X, _Decimal64 _Y);
1409_Bool __cdecl samequantumd128(_Decimal128 _X, _Decimal128 _Y);
1410_Bool __cdecl samequantumd32(_Decimal32 _X, _Decimal32 _Y);
1411
1412/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/quantexpd64.3m.htm */
1413int __cdecl quantexpd64(_Decimal64 _X);
1414int __cdecl quantexpd128(_Decimal128 _X);
1415int __cdecl quantexpd32(_Decimal32 _X);
1416
1417/*** scaling ***/
1418/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/scalbnd64.3m.htm */
1419_Decimal64 __cdecl scalbnd64(_Decimal64 _X, int _Y);
1420_Decimal128 __cdecl scalbnd128(_Decimal128 _X, int _Y);
1421_Decimal32 __cdecl scalbnd32(_Decimal32 _X, int _Y);
1422
1423/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/scalblnd64.3m.htm */
1424_Decimal64 __cdecl scalblnd64(_Decimal64 _X, long int _Y);
1425_Decimal128 __cdecl scalblnd128(_Decimal128 _X, long int _Y);
1426_Decimal32 __cdecl scalblnd32(_Decimal32 _X, long int _Y);
1427
1428/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/ldexpd64.3m.htm */
1429_Decimal64 __cdecl ldexpd64(_Decimal64 _X, int _Y);
1430_Decimal128 __cdecl ldexpd128(_Decimal128 _X, int _Y);
1431_Decimal32 __cdecl ldexpd32(_Decimal32 _X, int _Y);
1432
1433/*** rounding to integral floating ***/
1434/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/ceild64.3m.htm */
1435_Decimal64 __cdecl ceild64(_Decimal64 _X);
1436_Decimal128 __cdecl ceild128(_Decimal128 _X);
1437_Decimal32 __cdecl ceild32(_Decimal32 _X);
1438
1439/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/floord64.3m.htm */
1440_Decimal64 __cdecl floord64(_Decimal64 _X);
1441_Decimal128 __cdecl floord128(_Decimal128 _X);
1442_Decimal32 __cdecl floord32(_Decimal32 _X);
1443
1444/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/truncd64.3m.htm */
1445_Decimal64 __cdecl truncd64(_Decimal64 _X);
1446_Decimal128 __cdecl truncd128(_Decimal128 _X);
1447_Decimal32 __cdecl truncd32(_Decimal32 _X);
1448
1449/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/roundd64.3m.htm */
1450_Decimal64 __cdecl roundd64(_Decimal64 _X);
1451_Decimal128 __cdecl roundd128(_Decimal128 _X);
1452_Decimal32 __cdecl roundd32(_Decimal32 _X);
1453
1454/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/rintd64.3m.htm */
1455_Decimal64 __cdecl rintd64(_Decimal64 _X);
1456_Decimal128 __cdecl rintd128(_Decimal128 _X);
1457_Decimal32 __cdecl rintd32(_Decimal32 _X);
1458
1459/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/nearbyintd64.3m.htm */
1460_Decimal64 __cdecl nearbyintd64(_Decimal64 _X);
1461_Decimal128 __cdecl nearbyintd128(_Decimal128 _X);
1462_Decimal32 __cdecl nearbyintd32(_Decimal32 _X);
1463
1464/*** rounding to integer ***/
1465/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/lroundd64.3m.htm */
1466long int __cdecl lroundd64(_Decimal64 _X);
1467long int __cdecl lroundd128(_Decimal128 _X);
1468long int __cdecl lroundd32(_Decimal32 _X);
1469
1470/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/llroundd64.3m.htm */
1471long long int __cdecl llroundd64(_Decimal64 _X);
1472long long int __cdecl llroundd128(_Decimal128 _X);
1473long long int __cdecl llroundd32(_Decimal32 _X);
1474
1475/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/lrintd64.3m.htm */
1476long int __cdecl lrintd64(_Decimal64 _X);
1477long int __cdecl lrintd128(_Decimal128 _X);
1478long int __cdecl lrintd32(_Decimal32 _X);
1479
1480/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/llrintd64.3m.htm */
1481long long int __cdecl llrintd64(_Decimal64 _X);
1482long long int __cdecl llrintd128(_Decimal128 _X);
1483long long int __cdecl llrintd32(_Decimal32 _X);
1484
1485/*** integral and fractional parts ***/
1486/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/modfd64.3m.htm */
1487_Decimal64 __cdecl modfd64(_Decimal64 _X, _Decimal64 *_Y);
1488_Decimal128 __cdecl modfd128(_Decimal128 _X, _Decimal128 *_Y);
1489_Decimal32 __cdecl modfd32(_Decimal32 _X, _Decimal32 *_Y);
1490
1491/** remainder/mod ***/
1492/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/remainderd64.3m.htm */
1493_Decimal64 __cdecl remainderd64(_Decimal64 _X, _Decimal64 _Y);
1494_Decimal128 __cdecl remainderd128(_Decimal128 _X, _Decimal128 _Y);
1495_Decimal32 __cdecl remainderd32(_Decimal32 _X, _Decimal32 _Y);
1496
1497/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fmodd64.3m.htm */
1498_Decimal64 __cdecl fmodd64(_Decimal64 _X, _Decimal64 _Y);
1499_Decimal128 __cdecl fmodd128(_Decimal128 _X, _Decimal128 _Y);
1500_Decimal32 __cdecl fmodd32(_Decimal32 _X, _Decimal32 _Y);
1501
1502/*** error functions ***/
1503/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/erfd64.3m.htm */
1504_Decimal64 __cdecl erfd64(_Decimal64 _X);
1505_Decimal128 __cdecl erfd128(_Decimal128 _X);
1506_Decimal32 __cdecl erfd32(_Decimal32 _X);
1507_Decimal64 __cdecl erfcd64(_Decimal64 _X);
1508_Decimal128 __cdecl erfcd128(_Decimal128 _X);
1509_Decimal32 __cdecl erfcd32(_Decimal32 _X);
1510
1511/*** gamma functions ***/
1512/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/lgammad64.3m.htm */
1513_Decimal64 __cdecl lgammad64(_Decimal64 _X);
1514_Decimal128 __cdecl lgammad128(_Decimal128 _X);
1515_Decimal32 __cdecl lgammad32(_Decimal32 _X);
1516
1517/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/tgammad64.3m.htm */
1518_Decimal64 __cdecl tgammad64(_Decimal64 _X);
1519_Decimal128 __cdecl tgammad128(_Decimal128 _X);
1520_Decimal32 __cdecl tgammad32(_Decimal32 _X);
1521
1522/*** next value ***/
1523/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/nextafterd64.3m.htm */
1524_Decimal64 __cdecl nextafterd64(_Decimal64 _X, _Decimal64 _Y);
1525_Decimal128 __cdecl nextafterd128(_Decimal128 _X, _Decimal128 _Y);
1526_Decimal32 __cdecl nextafterd32(_Decimal32 _X, _Decimal32 _Y);
1527_Decimal64 __cdecl nexttowardd64(_Decimal64 _X, _Decimal128 _Y);
1528_Decimal128 __cdecl nexttowardd128(_Decimal128 _X, _Decimal128 _Y);
1529_Decimal32 __cdecl nexttowardd32(_Decimal32 _X, _Decimal128 _Y);
1530
1531/*** absolute value, copy sign ***/
1532/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fabsd64.3m.htm */
1533_Decimal64 __cdecl fabsd64(_Decimal64 _X);
1534_Decimal128 __cdecl fabsd128(_Decimal128 _X);
1535_Decimal32 __cdecl fabsd32(_Decimal32 _X);
1536
1537/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/copysignd64.3m.htm */
1538_Decimal64 __cdecl copysignd64(_Decimal64 _X, _Decimal64 _Y);
1539_Decimal128 __cdecl copysignd128(_Decimal128 _X, _Decimal128 _Y);
1540_Decimal32 __cdecl copysignd32(_Decimal32 _X, _Decimal32 _Y);
1541
1542/*** max, min, positive difference ***/
1543/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fmaxd64.3m.htm */
1544_Decimal64 __cdecl fmaxd64(_Decimal64 _X, _Decimal64 y_Y);
1545_Decimal128 __cdecl fmaxd128(_Decimal128 _X, _Decimal128 _Y);
1546_Decimal32 __cdecl fmaxd32(_Decimal32 _X, _Decimal32 _Y);
1547
1548/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fmind64.3m.htm */
1549_Decimal64 __cdecl fmind64(_Decimal64 _X, _Decimal64 _Y);
1550_Decimal128 __cdecl fmind128(_Decimal128 _X, _Decimal128 _Y);
1551_Decimal32 __cdecl fmind32(_Decimal32 _X, _Decimal32 _Y);
1552
1553/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/fdimd64.3m.htm */
1554_Decimal64 __cdecl fdimd64(_Decimal64 _X, _Decimal64 _Y);
1555_Decimal128 __cdecl fdimd128(_Decimal128 _X, _Decimal128 _Y);
1556_Decimal32 __cdecl fdimd32(_Decimal32 _X, _Decimal32 _Y);
1557
1558/*** not-a-number ***/
1559/* http://h21007.www2.hp.com/portal/download/files/unprot/fp/manpages/nand64.3m.htm */
1560_Decimal64 __cdecl nand64(__UNUSED_PARAM(const char *_X));
1561_Decimal128 __cdecl nand128(__UNUSED_PARAM(const char *_X));
1562_Decimal32 __cdecl nand32(__UNUSED_PARAM(const char *_X));
1563
1564/*** classifiers ***/
1565int __cdecl isinfd64(_Decimal64 _X);
1566int __cdecl isinfd128(_Decimal128 _X);
1567int __cdecl isinfd32(_Decimal32 _X);
1568int __cdecl isnand64(_Decimal64 _X);
1569int __cdecl isnand128(_Decimal128 _X);
1570int __cdecl isnand32(_Decimal32 _X);
1571
1572#endif /* __STDC_WANT_DEC_FP__ */
1573
1574#ifdef __cplusplus
1575}
1576#endif
1577
1578#endif /* Not RC_INVOKED */
1579
1580#pragma pack(pop)
1581
1582#endif /* End _MATH_H_ */
1583
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