summaryrefslogtreecommitdiffstats
path: root/libstdc++-v3/include/c_std/cmath
blob: a7c1b2ffa9a08615e1bea1cb3e72dd23db3d6fd8 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
// -*- C++ -*- C forwarding header.

// Copyright (C) 1997-2013 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/** @file include/cmath
 *  This is a Standard C++ Library file.  You should @c #include this file
 *  in your programs, rather than any of the @a *.h implementation files.
 *
 *  This is the C++ version of the Standard C Library header @c math.h,
 *  and its contents are (mostly) the same as that header, but are all
 *  contained in the namespace @c std (except for names which are defined
 *  as macros in C).
 */

//
// ISO C++ 14882: 26.5  C library
//

#ifndef _GLIBCXX_CMATH
#define _GLIBCXX_CMATH 1

#pragma GCC system_header

#include <bits/c++config.h>
#include <bits/cpp_type_traits.h>
#include <ext/type_traits.h>

#include <math.h>

// Get rid of those macros defined in <math.h> in lieu of real functions.
#undef abs
#undef div
#undef acos
#undef asin
#undef atan
#undef atan2
#undef ceil
#undef cos
#undef cosh
#undef exp
#undef fabs
#undef floor
#undef fmod
#undef frexp
#undef ldexp
#undef log
#undef log10
#undef modf
#undef pow
#undef sin
#undef sinh
#undef sqrt
#undef tan
#undef tanh

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  inline double
  abs(double __x)
  { return __builtin_fabs(__x); }

  inline float
  abs(float __x)
  { return __builtin_fabsf(__x); }

  inline long double
  abs(long double __x)
  { return __builtin_fabsl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    abs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::acos;

  inline float
  acos(float __x)
  { return __builtin_acosf(__x); }

  inline long double
  acos(long double __x)
  { return __builtin_acosl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    acos(_Tp __x)
    { return __builtin_acos(__x); }

  using ::asin;

  inline float
  asin(float __x)
  { return __builtin_asinf(__x); }

  inline long double
  asin(long double __x)
  { return __builtin_asinl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
					   double>::__type
    asin(_Tp __x)
    { return __builtin_asin(__x); }

  using ::atan;

  inline float
  atan(float __x)
  { return __builtin_atanf(__x); }

  inline long double
  atan(long double __x)
  { return __builtin_atanl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    atan(_Tp __x)
    { return __builtin_atan(__x); }

  using ::atan2;

  inline float
  atan2(float __y, float __x)
  { return __builtin_atan2f(__y, __x); }

  inline long double
  atan2(long double __y, long double __x)
  { return __builtin_atan2l(__y, __x); }

  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value
    					   && __is_integer<_Up>::__value, 
					   double>::__type
    atan2(_Tp __y, _Up __x)
    { return __builtin_atan2(__y, __x); }

  using ::ceil;

  inline float
  ceil(float __x)
  { return __builtin_ceilf(__x); }

  inline long double
  ceil(long double __x)
  { return __builtin_ceill(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    ceil(_Tp __x)
    { return __builtin_ceil(__x); }

  using ::cos;

  inline float
  cos(float __x)
  { return __builtin_cosf(__x); }

  inline long double
  cos(long double __x)
  { return __builtin_cosl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    cos(_Tp __x)
    { return __builtin_cos(__x); }

  using ::cosh;

  inline float
  cosh(float __x)
  { return __builtin_coshf(__x); }

  inline long double
  cosh(long double __x)
  { return __builtin_coshl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    cosh(_Tp __x)
    { return __builtin_cosh(__x); }

  using ::exp;

  inline float
  exp(float __x)
  { return __builtin_expf(__x); }

  inline long double
  exp(long double __x)
  { return __builtin_expl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    exp(_Tp __x)
    { return __builtin_exp(__x); }

  using ::fabs;

  inline float
  fabs(float __x)
  { return __builtin_fabsf(__x); }

  inline long double
  fabs(long double __x)
  { return __builtin_fabsl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    fabs(_Tp __x)
    { return __builtin_fabs(__x); }

  using ::floor;

  inline float
  floor(float __x)
  { return __builtin_floorf(__x); }

  inline long double
  floor(long double __x)
  { return __builtin_floorl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    floor(_Tp __x)
    { return __builtin_floor(__x); }

  using ::fmod;

  inline float
  fmod(float __x, float __y)
  { return __builtin_fmodf(__x, __y); }

  inline long double
  fmod(long double __x, long double __y)
  { return __builtin_fmodl(__x, __y); }

  template<typename _Tp, typename _Up>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value
    					   && __is_integer<_Up>::__value, 
					   double>::__type
    fmod(_Tp __x, _Up __y)
    { return __builtin_fmod(__x, __y); }

  using ::frexp;

  inline float
  frexp(float __x, int* __exp)
  { return __builtin_frexpf(__x, __exp); }

  inline long double
  frexp(long double __x, int* __exp)
  { return __builtin_frexpl(__x, __exp); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    frexp(_Tp __x, int* __exp)
    { return __builtin_frexp(__x, __exp); }

  using ::ldexp;

  inline float
  ldexp(float __x, int __exp)
  { return __builtin_ldexpf(__x, __exp); }

  inline long double
  ldexp(long double __x, int __exp)
  { return __builtin_ldexpl(__x, __exp); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    ldexp(_Tp __x, int __exp)
    { return __builtin_ldexp(__x, __exp); }

  using ::log;

  inline float
  log(float __x)
  { return __builtin_logf(__x); }

  inline long double
  log(long double __x)
  { return __builtin_logl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    log(_Tp __x)
    { return __builtin_log(__x); }

  using ::log10;

  inline float
  log10(float __x)
  { return __builtin_log10f(__x); }

  inline long double
  log10(long double __x)
  { return __builtin_log10l(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    log10(_Tp __x)
    { return __builtin_log10(__x); }

  using ::modf;

  inline float
  modf(float __x, float* __iptr)
  { return __builtin_modff(__x, __iptr); }

  inline long double
  modf(long double __x, long double* __iptr)
  { return __builtin_modfl(__x, __iptr); }

  using ::pow;

  inline float
  pow(float __x, float __y)
  { return __builtin_powf(__x, __y); }

  inline long double
  pow(long double __x, long double __y)
  { return __builtin_powl(__x, __y); }

  inline double
  pow(double __x, int __i)
  { return __builtin_powi(__x, __i); }

  inline float
  pow(float __x, int __n)
  { return __builtin_powif(__x, __n); }

  inline long double
  pow(long double __x, int __n)
  { return __builtin_powil(__x, __n); }

  using ::sin;

  inline float
  sin(float __x)
  { return __builtin_sinf(__x); }

  inline long double
  sin(long double __x)
  { return __builtin_sinl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    sin(_Tp __x)
    { return __builtin_sin(__x); }

  using ::sinh;

  inline float
  sinh(float __x)
  { return __builtin_sinhf(__x); }

  inline long double
  sinh(long double __x)
  { return __builtin_sinhl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    sinh(_Tp __x)
    { return __builtin_sinh(__x); }

  using ::sqrt;

  inline float
  sqrt(float __x)
  { return __builtin_sqrtf(__x); }

  inline long double
  sqrt(long double __x)
  { return __builtin_sqrtl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    sqrt(_Tp __x)
    { return __builtin_sqrt(__x); }

  using ::tan;

  inline float
  tan(float __x)
  { return __builtin_tanf(__x); }

  inline long double
  tan(long double __x)
  { return __builtin_tanl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    tan(_Tp __x)
    { return __builtin_tan(__x); }

  using ::tanh;

  inline float
  tanh(float __x)
  { return __builtin_tanhf(__x); }

  inline long double
  tanh(long double __x)
  { return __builtin_tanhl(__x); }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
					   double>::__type
    tanh(_Tp __x)
    { return __builtin_tanh(__x); }

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace

#if _GLIBCXX_USE_C99_MATH
#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC

// These are possible macros imported from C99-land.
#undef fpclassify
#undef isfinite
#undef isinf
#undef isnan
#undef isnormal
#undef signbit
#undef isgreater
#undef isgreaterequal
#undef isless
#undef islessequal
#undef islessgreater
#undef isunordered

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    fpclassify(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
				  FP_SUBNORMAL, FP_ZERO, __type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isfinite(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isfinite(__type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isinf(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isinf(__type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isnan(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isnan(__type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isnormal(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isnormal(__type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    signbit(_Tp __f)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_signbit(__type(__f));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isgreater(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isgreater(__type(__f1), __type(__f2));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isgreaterequal(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isgreaterequal(__type(__f1), __type(__f2));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isless(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isless(__type(__f1), __type(__f2));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value, 
					   int>::__type
    islessequal(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_islessequal(__type(__f1), __type(__f2));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    islessgreater(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_islessgreater(__type(__f1), __type(__f2));
    }

  template<typename _Tp>
    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
					   int>::__type
    isunordered(_Tp __f1, _Tp __f2)
    {
      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
      return __builtin_isunordered(__type(__f1), __type(__f2));
    }

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
#endif

#endif
OpenPOWER on IntegriCloud