cmath revision 1.1.1.3 
1// -*- C++ -*- C forwarding header.
2
3// Copyright (C) 1997-2015 Free Software Foundation, Inc.
4//
5// This file is part of the GNU ISO C++ Library.  This library is free
6// software; you can redistribute it and/or modify it under the
7// terms of the GNU General Public License as published by the
8// Free Software Foundation; either version 3, or (at your option)
9// any later version.
10
11// This library is distributed in the hope that it will be useful,
12// but WITHOUT ANY WARRANTY; without even the implied warranty of
13// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14// GNU General Public License for more details.
15
16// Under Section 7 of GPL version 3, you are granted additional
17// permissions described in the GCC Runtime Library Exception, version
18// 3.1, as published by the Free Software Foundation.
19
20// You should have received a copy of the GNU General Public License and
21// a copy of the GCC Runtime Library Exception along with this program;
22// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23// <http://www.gnu.org/licenses/>.
24
25/** @file include/cmath
26 *  This is a Standard C++ Library file.  You should @c \#include this file
27 *  in your programs, rather than any of the @a *.h implementation files.
28 *
29 *  This is the C++ version of the Standard C Library header @c math.h,
30 *  and its contents are (mostly) the same as that header, but are all
31 *  contained in the namespace @c std (except for names which are defined
32 *  as macros in C).
33 */
34
35//
36// ISO C++ 14882: 26.5  C library
37//
38
39#pragma GCC system_header
40
41#include <bits/c++config.h>
42#include <bits/cpp_type_traits.h>
43#include <ext/type_traits.h>
44#include <math.h>
45
46#ifndef _GLIBCXX_CMATH
47#define _GLIBCXX_CMATH 1
48
49// Get rid of those macros defined in <math.h> in lieu of real functions.
50#undef abs
51#undef div
52#undef acos
53#undef asin
54#undef atan
55#undef atan2
56#undef ceil
57#undef cos
58#undef cosh
59#undef exp
60#undef fabs
61#undef floor
62#undef fmod
63#undef frexp
64#undef ldexp
65#undef log
66#undef log10
67#undef modf
68#undef pow
69#undef sin
70#undef sinh
71#undef sqrt
72#undef tan
73#undef tanh
74
75namespace std _GLIBCXX_VISIBILITY(default)
76{
77_GLIBCXX_BEGIN_NAMESPACE_VERSION
78
79#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
80  inline _GLIBCXX_CONSTEXPR double
81  abs(double __x)
82  { return __builtin_fabs(__x); }
83#endif
84
85#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
86  inline _GLIBCXX_CONSTEXPR float
87  abs(float __x)
88  { return __builtin_fabsf(__x); }
89
90  inline _GLIBCXX_CONSTEXPR long double
91  abs(long double __x)
92  { return __builtin_fabsl(__x); }
93#endif
94
95  template<typename _Tp>
96    inline _GLIBCXX_CONSTEXPR
97    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
98                                    double>::__type
99    abs(_Tp __x)
100    { return __builtin_fabs(__x); }
101
102  using ::acos;
103
104#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
105  inline _GLIBCXX_CONSTEXPR float
106  acos(float __x)
107  { return __builtin_acosf(__x); }
108
109  inline _GLIBCXX_CONSTEXPR long double
110  acos(long double __x)
111  { return __builtin_acosl(__x); }
112#endif
113
114  template<typename _Tp>
115    inline _GLIBCXX_CONSTEXPR
116    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
117                                    double>::__type
118    acos(_Tp __x)
119    { return __builtin_acos(__x); }
120
121  using ::asin;
122
123#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
124  inline _GLIBCXX_CONSTEXPR float
125  asin(float __x)
126  { return __builtin_asinf(__x); }
127
128  inline _GLIBCXX_CONSTEXPR long double
129  asin(long double __x)
130  { return __builtin_asinl(__x); }
131#endif
132
133  template<typename _Tp>
134    inline _GLIBCXX_CONSTEXPR
135    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
136                                    double>::__type
137    asin(_Tp __x)
138    { return __builtin_asin(__x); }
139
140  using ::atan;
141
142#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
143  inline _GLIBCXX_CONSTEXPR float
144  atan(float __x)
145  { return __builtin_atanf(__x); }
146
147  inline _GLIBCXX_CONSTEXPR long double
148  atan(long double __x)
149  { return __builtin_atanl(__x); }
150#endif
151
152  template<typename _Tp>
153    inline _GLIBCXX_CONSTEXPR
154    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
155                                    double>::__type
156    atan(_Tp __x)
157    { return __builtin_atan(__x); }
158
159  using ::atan2;
160
161#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
162  inline _GLIBCXX_CONSTEXPR float
163  atan2(float __y, float __x)
164  { return __builtin_atan2f(__y, __x); }
165
166  inline _GLIBCXX_CONSTEXPR long double
167  atan2(long double __y, long double __x)
168  { return __builtin_atan2l(__y, __x); }
169#endif
170
171  template<typename _Tp, typename _Up>
172    inline _GLIBCXX_CONSTEXPR
173    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
174    atan2(_Tp __y, _Up __x)
175    {
176      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
177      return atan2(__type(__y), __type(__x));
178    }
179
180  using ::ceil;
181
182#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
183  inline _GLIBCXX_CONSTEXPR float
184  ceil(float __x)
185  { return __builtin_ceilf(__x); }
186
187  inline _GLIBCXX_CONSTEXPR long double
188  ceil(long double __x)
189  { return __builtin_ceill(__x); }
190#endif
191
192  template<typename _Tp>
193    inline _GLIBCXX_CONSTEXPR
194    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
195                                    double>::__type
196    ceil(_Tp __x)
197    { return __builtin_ceil(__x); }
198
199  using ::cos;
200
201#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
202  inline _GLIBCXX_CONSTEXPR float
203  cos(float __x)
204  { return __builtin_cosf(__x); }
205
206  inline _GLIBCXX_CONSTEXPR long double
207  cos(long double __x)
208  { return __builtin_cosl(__x); }
209#endif
210
211  template<typename _Tp>
212    inline _GLIBCXX_CONSTEXPR
213    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
214                                    double>::__type
215    cos(_Tp __x)
216    { return __builtin_cos(__x); }
217
218  using ::cosh;
219
220#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
221  inline _GLIBCXX_CONSTEXPR float
222  cosh(float __x)
223  { return __builtin_coshf(__x); }
224
225  inline _GLIBCXX_CONSTEXPR long double
226  cosh(long double __x)
227  { return __builtin_coshl(__x); }
228#endif
229
230  template<typename _Tp>
231    inline _GLIBCXX_CONSTEXPR
232    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
233                                    double>::__type
234    cosh(_Tp __x)
235    { return __builtin_cosh(__x); }
236
237  using ::exp;
238
239#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
240  inline _GLIBCXX_CONSTEXPR float
241  exp(float __x)
242  { return __builtin_expf(__x); }
243
244  inline _GLIBCXX_CONSTEXPR long double
245  exp(long double __x)
246  { return __builtin_expl(__x); }
247#endif
248
249  template<typename _Tp>
250    inline _GLIBCXX_CONSTEXPR
251    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
252                                    double>::__type
253    exp(_Tp __x)
254    { return __builtin_exp(__x); }
255
256  using ::fabs;
257
258#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
259  inline _GLIBCXX_CONSTEXPR float
260  fabs(float __x)
261  { return __builtin_fabsf(__x); }
262
263  inline _GLIBCXX_CONSTEXPR long double
264  fabs(long double __x)
265  { return __builtin_fabsl(__x); }
266#endif
267
268  template<typename _Tp>
269    inline _GLIBCXX_CONSTEXPR
270    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
271                                    double>::__type
272    fabs(_Tp __x)
273    { return __builtin_fabs(__x); }
274
275  using ::floor;
276
277#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
278  inline _GLIBCXX_CONSTEXPR float
279  floor(float __x)
280  { return __builtin_floorf(__x); }
281
282  inline _GLIBCXX_CONSTEXPR long double
283  floor(long double __x)
284  { return __builtin_floorl(__x); }
285#endif
286
287  template<typename _Tp>
288    inline _GLIBCXX_CONSTEXPR
289    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
290                                    double>::__type
291    floor(_Tp __x)
292    { return __builtin_floor(__x); }
293
294  using ::fmod;
295
296#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
297  inline _GLIBCXX_CONSTEXPR float
298  fmod(float __x, float __y)
299  { return __builtin_fmodf(__x, __y); }
300
301  inline _GLIBCXX_CONSTEXPR long double
302  fmod(long double __x, long double __y)
303  { return __builtin_fmodl(__x, __y); }
304#endif
305
306  template<typename _Tp, typename _Up>
307    inline _GLIBCXX_CONSTEXPR
308    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
309    fmod(_Tp __x, _Up __y)
310    {
311      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
312      return fmod(__type(__x), __type(__y));
313    }
314
315  using ::frexp;
316
317#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
318  inline float
319  frexp(float __x, int* __exp)
320  { return __builtin_frexpf(__x, __exp); }
321
322  inline long double
323  frexp(long double __x, int* __exp)
324  { return __builtin_frexpl(__x, __exp); }
325#endif
326
327  template<typename _Tp>
328    inline _GLIBCXX_CONSTEXPR
329    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
330                                    double>::__type
331    frexp(_Tp __x, int* __exp)
332    { return __builtin_frexp(__x, __exp); }
333
334  using ::ldexp;
335
336#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
337  inline _GLIBCXX_CONSTEXPR float
338  ldexp(float __x, int __exp)
339  { return __builtin_ldexpf(__x, __exp); }
340
341  inline _GLIBCXX_CONSTEXPR long double
342  ldexp(long double __x, int __exp)
343  { return __builtin_ldexpl(__x, __exp); }
344#endif
345
346  template<typename _Tp>
347    inline _GLIBCXX_CONSTEXPR
348    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
349                                    double>::__type
350    ldexp(_Tp __x, int __exp)
351    { return __builtin_ldexp(__x, __exp); }
352
353  using ::log;
354
355#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
356  inline _GLIBCXX_CONSTEXPR float
357  log(float __x)
358  { return __builtin_logf(__x); }
359
360  inline _GLIBCXX_CONSTEXPR long double
361  log(long double __x)
362  { return __builtin_logl(__x); }
363#endif
364
365  template<typename _Tp>
366    inline _GLIBCXX_CONSTEXPR
367    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
368                                    double>::__type
369    log(_Tp __x)
370    { return __builtin_log(__x); }
371
372  using ::log10;
373
374#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
375  inline _GLIBCXX_CONSTEXPR float
376  log10(float __x)
377  { return __builtin_log10f(__x); }
378
379  inline _GLIBCXX_CONSTEXPR long double
380  log10(long double __x)
381  { return __builtin_log10l(__x); }
382#endif
383
384  template<typename _Tp>
385    inline _GLIBCXX_CONSTEXPR
386    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
387                                    double>::__type
388    log10(_Tp __x)
389    { return __builtin_log10(__x); }
390
391  using ::modf;
392
393#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
394  inline float
395  modf(float __x, float* __iptr)
396  { return __builtin_modff(__x, __iptr); }
397
398  inline long double
399  modf(long double __x, long double* __iptr)
400  { return __builtin_modfl(__x, __iptr); }
401#endif
402
403  using ::pow;
404
405#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
406  inline _GLIBCXX_CONSTEXPR float
407  pow(float __x, float __y)
408  { return __builtin_powf(__x, __y); }
409
410  inline _GLIBCXX_CONSTEXPR long double
411  pow(long double __x, long double __y)
412  { return __builtin_powl(__x, __y); }
413
414#if __cplusplus < 201103L
415  // _GLIBCXX_RESOLVE_LIB_DEFECTS
416  // DR 550. What should the return type of pow(float,int) be?
417  inline double
418  pow(double __x, int __i)
419  { return __builtin_powi(__x, __i); }
420
421  inline float
422  pow(float __x, int __n)
423  { return __builtin_powif(__x, __n); }
424
425  inline long double
426  pow(long double __x, int __n)
427  { return __builtin_powil(__x, __n); }
428#endif
429#endif
430
431  template<typename _Tp, typename _Up>
432    inline _GLIBCXX_CONSTEXPR
433    typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
434    pow(_Tp __x, _Up __y)
435    {
436      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
437      return pow(__type(__x), __type(__y));
438    }
439
440  using ::sin;
441
442#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
443  inline _GLIBCXX_CONSTEXPR float
444  sin(float __x)
445  { return __builtin_sinf(__x); }
446
447  inline _GLIBCXX_CONSTEXPR long double
448  sin(long double __x)
449  { return __builtin_sinl(__x); }
450#endif
451
452  template<typename _Tp>
453    inline _GLIBCXX_CONSTEXPR
454    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
455                                    double>::__type
456    sin(_Tp __x)
457    { return __builtin_sin(__x); }
458
459  using ::sinh;
460
461#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
462  inline _GLIBCXX_CONSTEXPR float
463  sinh(float __x)
464  { return __builtin_sinhf(__x); }
465
466  inline _GLIBCXX_CONSTEXPR long double
467  sinh(long double __x)
468  { return __builtin_sinhl(__x); }
469#endif
470
471  template<typename _Tp>
472    inline _GLIBCXX_CONSTEXPR
473    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
474                                    double>::__type
475    sinh(_Tp __x)
476    { return __builtin_sinh(__x); }
477
478  using ::sqrt;
479
480#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
481  inline _GLIBCXX_CONSTEXPR float
482  sqrt(float __x)
483  { return __builtin_sqrtf(__x); }
484
485  inline _GLIBCXX_CONSTEXPR long double
486  sqrt(long double __x)
487  { return __builtin_sqrtl(__x); }
488#endif
489
490  template<typename _Tp>
491    inline _GLIBCXX_CONSTEXPR
492    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
493                                    double>::__type
494    sqrt(_Tp __x)
495    { return __builtin_sqrt(__x); }
496
497  using ::tan;
498
499#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
500  inline _GLIBCXX_CONSTEXPR float
501  tan(float __x)
502  { return __builtin_tanf(__x); }
503
504  inline _GLIBCXX_CONSTEXPR long double
505  tan(long double __x)
506  { return __builtin_tanl(__x); }
507#endif
508
509  template<typename _Tp>
510    inline _GLIBCXX_CONSTEXPR
511    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
512                                    double>::__type
513    tan(_Tp __x)
514    { return __builtin_tan(__x); }
515
516  using ::tanh;
517
518#ifndef __CORRECT_ISO_CPP_MATH_H_PROTO
519  inline _GLIBCXX_CONSTEXPR float
520  tanh(float __x)
521  { return __builtin_tanhf(__x); }
522
523  inline _GLIBCXX_CONSTEXPR long double
524  tanh(long double __x)
525  { return __builtin_tanhl(__x); }
526#endif
527
528  template<typename _Tp>
529    inline _GLIBCXX_CONSTEXPR
530    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
531                                    double>::__type
532    tanh(_Tp __x)
533    { return __builtin_tanh(__x); }
534
535_GLIBCXX_END_NAMESPACE_VERSION
536} // namespace
537
538#if _GLIBCXX_USE_C99_MATH
539#if !_GLIBCXX_USE_C99_FP_MACROS_DYNAMIC
540
541// These are possible macros imported from C99-land.
542#undef fpclassify
543#undef isfinite
544#undef isinf
545#undef isnan
546#undef isnormal
547#undef signbit
548#undef isgreater
549#undef isgreaterequal
550#undef isless
551#undef islessequal
552#undef islessgreater
553#undef isunordered
554
555namespace std _GLIBCXX_VISIBILITY(default)
556{
557_GLIBCXX_BEGIN_NAMESPACE_VERSION
558
559#if __cplusplus >= 201103L
560
561#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
562  constexpr int
563  fpclassify(float __x)
564  { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
565				FP_SUBNORMAL, FP_ZERO, __x); }
566
567  constexpr int
568  fpclassify(double __x)
569  { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
570				FP_SUBNORMAL, FP_ZERO, __x); }
571
572  constexpr int
573  fpclassify(long double __x)
574  { return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
575				FP_SUBNORMAL, FP_ZERO, __x); }
576#endif
577
578  template<typename _Tp>
579    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
580                                              int>::__type
581    fpclassify(_Tp __x)
582    { return __x != 0 ? FP_NORMAL : FP_ZERO; }
583
584#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
585  constexpr bool
586  isfinite(float __x)
587  { return __builtin_isfinite(__x); }
588
589  constexpr bool
590  isfinite(double __x)
591  { return __builtin_isfinite(__x); }
592
593  constexpr bool
594  isfinite(long double __x)
595  { return __builtin_isfinite(__x); }
596#endif
597
598  template<typename _Tp>
599    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
600                                              bool>::__type
601    isfinite(_Tp __x)
602    { return true; }
603
604#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
605  constexpr bool
606  isinf(float __x)
607  { return __builtin_isinf(__x); }
608
609  constexpr bool
610  isinf(double __x)
611  { return __builtin_isinf(__x); }
612
613  constexpr bool
614  isinf(long double __x)
615  { return __builtin_isinf(__x); }
616#endif
617
618  template<typename _Tp>
619    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
620                                              bool>::__type
621    isinf(_Tp __x)
622    { return false; }
623
624#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
625  constexpr bool
626  isnan(float __x)
627  { return __builtin_isnan(__x); }
628
629  constexpr bool
630  isnan(double __x)
631  { return __builtin_isnan(__x); }
632
633  constexpr bool
634  isnan(long double __x)
635  { return __builtin_isnan(__x); }
636#endif
637
638  template<typename _Tp>
639    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
640                                              bool>::__type
641    isnan(_Tp __x)
642    { return false; }
643
644#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
645  constexpr bool
646  isnormal(float __x)
647  { return __builtin_isnormal(__x); }
648
649  constexpr bool
650  isnormal(double __x)
651  { return __builtin_isnormal(__x); }
652
653  constexpr bool
654  isnormal(long double __x)
655  { return __builtin_isnormal(__x); }
656#endif
657
658  template<typename _Tp>
659    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
660                                              bool>::__type
661    isnormal(_Tp __x)
662    { return __x != 0 ? true : false; }
663
664#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
665  // The front-end doesn't provide a type generic builtin (libstdc++/58625).
666  constexpr bool
667  signbit(float __x)
668  { return __builtin_signbitf(__x); }
669
670  constexpr bool
671  signbit(double __x)
672  { return __builtin_signbit(__x); }
673
674  constexpr bool
675  signbit(long double __x)
676  { return __builtin_signbitl(__x); }
677#endif
678
679  template<typename _Tp>
680    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value,
681                                              bool>::__type
682    signbit(_Tp __x)
683    { return __x < 0 ? true : false; }
684
685#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
686  constexpr bool
687  isgreater(float __x, float __y)
688  { return __builtin_isgreater(__x, __y); }
689
690  constexpr bool
691  isgreater(double __x, double __y)
692  { return __builtin_isgreater(__x, __y); }
693
694  constexpr bool
695  isgreater(long double __x, long double __y)
696  { return __builtin_isgreater(__x, __y); }
697#endif
698
699  template<typename _Tp, typename _Up>
700    constexpr typename
701    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
702			    && __is_arithmetic<_Up>::__value), bool>::__type
703    isgreater(_Tp __x, _Up __y)
704    {
705      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
706      return __builtin_isgreater(__type(__x), __type(__y));
707    }
708
709#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
710  constexpr bool
711  isgreaterequal(float __x, float __y)
712  { return __builtin_isgreaterequal(__x, __y); }
713
714  constexpr bool
715  isgreaterequal(double __x, double __y)
716  { return __builtin_isgreaterequal(__x, __y); }
717
718  constexpr bool
719  isgreaterequal(long double __x, long double __y)
720  { return __builtin_isgreaterequal(__x, __y); }
721#endif
722
723  template<typename _Tp, typename _Up>
724    constexpr typename
725    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
726			    && __is_arithmetic<_Up>::__value), bool>::__type
727    isgreaterequal(_Tp __x, _Up __y)
728    {
729      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
730      return __builtin_isgreaterequal(__type(__x), __type(__y));
731    }
732
733#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
734  constexpr bool
735  isless(float __x, float __y)
736  { return __builtin_isless(__x, __y); }
737
738  constexpr bool
739  isless(double __x, double __y)
740  { return __builtin_isless(__x, __y); }
741
742  constexpr bool
743  isless(long double __x, long double __y)
744  { return __builtin_isless(__x, __y); }
745#endif
746
747  template<typename _Tp, typename _Up>
748    constexpr typename
749    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
750			    && __is_arithmetic<_Up>::__value), bool>::__type
751    isless(_Tp __x, _Up __y)
752    {
753      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
754      return __builtin_isless(__type(__x), __type(__y));
755    }
756
757#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
758  constexpr bool
759  islessequal(float __x, float __y)
760  { return __builtin_islessequal(__x, __y); }
761
762  constexpr bool
763  islessequal(double __x, double __y)
764  { return __builtin_islessequal(__x, __y); }
765
766  constexpr bool
767  islessequal(long double __x, long double __y)
768  { return __builtin_islessequal(__x, __y); }
769#endif
770
771  template<typename _Tp, typename _Up>
772    constexpr typename
773    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
774			    && __is_arithmetic<_Up>::__value), bool>::__type
775    islessequal(_Tp __x, _Up __y)
776    {
777      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
778      return __builtin_islessequal(__type(__x), __type(__y));
779    }
780
781#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
782  constexpr bool
783  islessgreater(float __x, float __y)
784  { return __builtin_islessgreater(__x, __y); }
785
786  constexpr bool
787  islessgreater(double __x, double __y)
788  { return __builtin_islessgreater(__x, __y); }
789
790  constexpr bool
791  islessgreater(long double __x, long double __y)
792  { return __builtin_islessgreater(__x, __y); }
793#endif
794
795  template<typename _Tp, typename _Up>
796    constexpr typename
797    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
798			    && __is_arithmetic<_Up>::__value), bool>::__type
799    islessgreater(_Tp __x, _Up __y)
800    {
801      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
802      return __builtin_islessgreater(__type(__x), __type(__y));
803    }
804
805#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
806  constexpr bool
807  isunordered(float __x, float __y)
808  { return __builtin_isunordered(__x, __y); }
809
810  constexpr bool
811  isunordered(double __x, double __y)
812  { return __builtin_isunordered(__x, __y); }
813
814  constexpr bool
815  isunordered(long double __x, long double __y)
816  { return __builtin_isunordered(__x, __y); }
817#endif
818
819  template<typename _Tp, typename _Up>
820    constexpr typename
821    __gnu_cxx::__enable_if<(__is_arithmetic<_Tp>::__value
822			    && __is_arithmetic<_Up>::__value), bool>::__type
823    isunordered(_Tp __x, _Up __y)
824    {
825      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
826      return __builtin_isunordered(__type(__x), __type(__y));
827    }
828
829#else
830
831  template<typename _Tp>
832    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
833					   int>::__type
834    fpclassify(_Tp __f)
835    {
836      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
837      return __builtin_fpclassify(FP_NAN, FP_INFINITE, FP_NORMAL,
838				  FP_SUBNORMAL, FP_ZERO, __type(__f));
839    }
840
841  template<typename _Tp>
842    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
843					   int>::__type
844    isfinite(_Tp __f)
845    {
846      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
847      return __builtin_isfinite(__type(__f));
848    }
849
850  template<typename _Tp>
851    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
852					   int>::__type
853    isinf(_Tp __f)
854    {
855      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
856      return __builtin_isinf(__type(__f));
857    }
858
859  template<typename _Tp>
860    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
861					   int>::__type
862    isnan(_Tp __f)
863    {
864      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
865      return __builtin_isnan(__type(__f));
866    }
867
868  template<typename _Tp>
869    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
870					   int>::__type
871    isnormal(_Tp __f)
872    {
873      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
874      return __builtin_isnormal(__type(__f));
875    }
876
877  template<typename _Tp>
878    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
879					   int>::__type
880    signbit(_Tp __f)
881    {
882      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
883      return __builtin_signbit(__type(__f));
884    }
885
886  template<typename _Tp>
887    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
888					   int>::__type
889    isgreater(_Tp __f1, _Tp __f2)
890    {
891      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
892      return __builtin_isgreater(__type(__f1), __type(__f2));
893    }
894
895  template<typename _Tp>
896    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
897					   int>::__type
898    isgreaterequal(_Tp __f1, _Tp __f2)
899    {
900      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
901      return __builtin_isgreaterequal(__type(__f1), __type(__f2));
902    }
903
904  template<typename _Tp>
905    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
906					   int>::__type
907    isless(_Tp __f1, _Tp __f2)
908    {
909      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
910      return __builtin_isless(__type(__f1), __type(__f2));
911    }
912
913  template<typename _Tp>
914    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
915					   int>::__type
916    islessequal(_Tp __f1, _Tp __f2)
917    {
918      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
919      return __builtin_islessequal(__type(__f1), __type(__f2));
920    }
921
922  template<typename _Tp>
923    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
924					   int>::__type
925    islessgreater(_Tp __f1, _Tp __f2)
926    {
927      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
928      return __builtin_islessgreater(__type(__f1), __type(__f2));
929    }
930
931  template<typename _Tp>
932    inline typename __gnu_cxx::__enable_if<__is_arithmetic<_Tp>::__value,
933					   int>::__type
934    isunordered(_Tp __f1, _Tp __f2)
935    {
936      typedef typename __gnu_cxx::__promote<_Tp>::__type __type;
937      return __builtin_isunordered(__type(__f1), __type(__f2));
938    }
939
940#endif
941
942_GLIBCXX_END_NAMESPACE_VERSION
943} // namespace
944
945#endif /* _GLIBCXX_USE_C99_FP_MACROS_DYNAMIC */
946#endif
947
948#if __cplusplus >= 201103L
949
950#ifdef _GLIBCXX_USE_C99_MATH_TR1
951
952#undef acosh
953#undef acoshf
954#undef acoshl
955#undef asinh
956#undef asinhf
957#undef asinhl
958#undef atanh
959#undef atanhf
960#undef atanhl
961#undef cbrt
962#undef cbrtf
963#undef cbrtl
964#undef copysign
965#undef copysignf
966#undef copysignl
967#undef erf
968#undef erff
969#undef erfl
970#undef erfc
971#undef erfcf
972#undef erfcl
973#undef exp2
974#undef exp2f
975#undef exp2l
976#undef expm1
977#undef expm1f
978#undef expm1l
979#undef fdim
980#undef fdimf
981#undef fdiml
982#undef fma
983#undef fmaf
984#undef fmal
985#undef fmax
986#undef fmaxf
987#undef fmaxl
988#undef fmin
989#undef fminf
990#undef fminl
991#undef hypot
992#undef hypotf
993#undef hypotl
994#undef ilogb
995#undef ilogbf
996#undef ilogbl
997#undef lgamma
998#undef lgammaf
999#undef lgammal
1000#undef llrint
1001#undef llrintf
1002#undef llrintl
1003#undef llround
1004#undef llroundf
1005#undef llroundl
1006#undef log1p
1007#undef log1pf
1008#undef log1pl
1009#undef log2
1010#undef log2f
1011#undef log2l
1012#undef logb
1013#undef logbf
1014#undef logbl
1015#undef lrint
1016#undef lrintf
1017#undef lrintl
1018#undef lround
1019#undef lroundf
1020#undef lroundl
1021#undef nan
1022#undef nanf
1023#undef nanl
1024#undef nearbyint
1025#undef nearbyintf
1026#undef nearbyintl
1027#undef nextafter
1028#undef nextafterf
1029#undef nextafterl
1030#undef nexttoward
1031#undef nexttowardf
1032#undef nexttowardl
1033#undef remainder
1034#undef remainderf
1035#undef remainderl
1036#undef remquo
1037#undef remquof
1038#undef remquol
1039#undef rint
1040#undef rintf
1041#undef rintl
1042#undef round
1043#undef roundf
1044#undef roundl
1045#undef scalbln
1046#undef scalblnf
1047#undef scalblnl
1048#undef scalbn
1049#undef scalbnf
1050#undef scalbnl
1051#undef tgamma
1052#undef tgammaf
1053#undef tgammal
1054#undef trunc
1055#undef truncf
1056#undef truncl
1057
1058namespace std _GLIBCXX_VISIBILITY(default)
1059{
1060_GLIBCXX_BEGIN_NAMESPACE_VERSION
1061
1062  // types
1063  using ::double_t;
1064  using ::float_t;
1065
1066  // functions
1067  using ::acosh;
1068  using ::acoshf;
1069  using ::acoshl;
1070
1071  using ::asinh;
1072  using ::asinhf;
1073  using ::asinhl;
1074
1075  using ::atanh;
1076  using ::atanhf;
1077  using ::atanhl;
1078
1079  using ::cbrt;
1080  using ::cbrtf;
1081  using ::cbrtl;
1082
1083  using ::copysign;
1084  using ::copysignf;
1085  using ::copysignl;
1086
1087  using ::erf;
1088  using ::erff;
1089  using ::erfl;
1090
1091  using ::erfc;
1092  using ::erfcf;
1093  using ::erfcl;
1094
1095  using ::exp2;
1096  using ::exp2f;
1097  using ::exp2l;
1098
1099  using ::expm1;
1100  using ::expm1f;
1101  using ::expm1l;
1102
1103  using ::fdim;
1104  using ::fdimf;
1105  using ::fdiml;
1106
1107  using ::fma;
1108  using ::fmaf;
1109  using ::fmal;
1110
1111  using ::fmax;
1112  using ::fmaxf;
1113  using ::fmaxl;
1114
1115  using ::fmin;
1116  using ::fminf;
1117  using ::fminl;
1118
1119  using ::hypot;
1120  using ::hypotf;
1121  using ::hypotl;
1122
1123  using ::ilogb;
1124  using ::ilogbf;
1125  using ::ilogbl;
1126
1127  using ::lgamma;
1128  using ::lgammaf;
1129  using ::lgammal;
1130
1131  using ::llrint;
1132  using ::llrintf;
1133  using ::llrintl;
1134
1135  using ::llround;
1136  using ::llroundf;
1137  using ::llroundl;
1138
1139  using ::log1p;
1140  using ::log1pf;
1141  using ::log1pl;
1142
1143  using ::log2;
1144  using ::log2f;
1145  using ::log2l;
1146
1147  using ::logb;
1148  using ::logbf;
1149  using ::logbl;
1150
1151  using ::lrint;
1152  using ::lrintf;
1153  using ::lrintl;
1154
1155  using ::lround;
1156  using ::lroundf;
1157  using ::lroundl;
1158
1159  using ::nan;
1160  using ::nanf;
1161  using ::nanl;
1162
1163  using ::nearbyint;
1164  using ::nearbyintf;
1165  using ::nearbyintl;
1166
1167  using ::nextafter;
1168  using ::nextafterf;
1169  using ::nextafterl;
1170
1171  using ::nexttoward;
1172  using ::nexttowardf;
1173  using ::nexttowardl;
1174
1175  using ::remainder;
1176  using ::remainderf;
1177  using ::remainderl;
1178
1179  using ::remquo;
1180  using ::remquof;
1181  using ::remquol;
1182
1183  using ::rint;
1184  using ::rintf;
1185  using ::rintl;
1186
1187  using ::round;
1188  using ::roundf;
1189  using ::roundl;
1190
1191  using ::scalbln;
1192  using ::scalblnf;
1193  using ::scalblnl;
1194
1195  using ::scalbn;
1196  using ::scalbnf;
1197  using ::scalbnl;
1198
1199  using ::tgamma;
1200  using ::tgammaf;
1201  using ::tgammal;
1202
1203  using ::trunc;
1204  using ::truncf;
1205  using ::truncl;
1206
1207  /// Additional overloads.
1208#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1209  constexpr float
1210  acosh(float __x)
1211  { return __builtin_acoshf(__x); }
1212
1213  constexpr long double
1214  acosh(long double __x)
1215  { return __builtin_acoshl(__x); }
1216#endif
1217
1218  template<typename _Tp>
1219    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1220                                              double>::__type
1221    acosh(_Tp __x)
1222    { return __builtin_acosh(__x); }
1223
1224#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1225  constexpr float
1226  asinh(float __x)
1227  { return __builtin_asinhf(__x); }
1228
1229  constexpr long double
1230  asinh(long double __x)
1231  { return __builtin_asinhl(__x); }
1232#endif
1233
1234  template<typename _Tp>
1235    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1236                                              double>::__type
1237    asinh(_Tp __x)
1238    { return __builtin_asinh(__x); }
1239
1240#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1241  constexpr float
1242  atanh(float __x)
1243  { return __builtin_atanhf(__x); }
1244
1245  constexpr long double
1246  atanh(long double __x)
1247  { return __builtin_atanhl(__x); }
1248#endif
1249
1250  template<typename _Tp>
1251    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1252                                              double>::__type
1253    atanh(_Tp __x)
1254    { return __builtin_atanh(__x); }
1255
1256#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1257  constexpr float
1258  cbrt(float __x)
1259  { return __builtin_cbrtf(__x); }
1260
1261  constexpr long double
1262  cbrt(long double __x)
1263  { return __builtin_cbrtl(__x); }
1264#endif
1265
1266  template<typename _Tp>
1267    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1268                                              double>::__type
1269    cbrt(_Tp __x)
1270    { return __builtin_cbrt(__x); }
1271
1272#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1273  constexpr float
1274  copysign(float __x, float __y)
1275  { return __builtin_copysignf(__x, __y); }
1276
1277  constexpr long double
1278  copysign(long double __x, long double __y)
1279  { return __builtin_copysignl(__x, __y); }
1280#endif
1281
1282  template<typename _Tp, typename _Up>
1283    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1284    copysign(_Tp __x, _Up __y)
1285    {
1286      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1287      return copysign(__type(__x), __type(__y));
1288    }
1289
1290#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1291  constexpr float
1292  erf(float __x)
1293  { return __builtin_erff(__x); }
1294
1295  constexpr long double
1296  erf(long double __x)
1297  { return __builtin_erfl(__x); }
1298#endif
1299
1300  template<typename _Tp>
1301    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1302                                              double>::__type
1303    erf(_Tp __x)
1304    { return __builtin_erf(__x); }
1305
1306#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1307  constexpr float
1308  erfc(float __x)
1309  { return __builtin_erfcf(__x); }
1310
1311  constexpr long double
1312  erfc(long double __x)
1313  { return __builtin_erfcl(__x); }
1314#endif
1315
1316  template<typename _Tp>
1317    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1318                                              double>::__type
1319    erfc(_Tp __x)
1320    { return __builtin_erfc(__x); }
1321
1322#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1323  constexpr float
1324  exp2(float __x)
1325  { return __builtin_exp2f(__x); }
1326
1327  constexpr long double
1328  exp2(long double __x)
1329  { return __builtin_exp2l(__x); }
1330#endif
1331
1332  template<typename _Tp>
1333    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1334                                              double>::__type
1335    exp2(_Tp __x)
1336    { return __builtin_exp2(__x); }
1337
1338#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1339  constexpr float
1340  expm1(float __x)
1341  { return __builtin_expm1f(__x); }
1342
1343  constexpr long double
1344  expm1(long double __x)
1345  { return __builtin_expm1l(__x); }
1346#endif
1347
1348  template<typename _Tp>
1349    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1350                                              double>::__type
1351    expm1(_Tp __x)
1352    { return __builtin_expm1(__x); }
1353
1354#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1355  constexpr float
1356  fdim(float __x, float __y)
1357  { return __builtin_fdimf(__x, __y); }
1358
1359  constexpr long double
1360  fdim(long double __x, long double __y)
1361  { return __builtin_fdiml(__x, __y); }
1362#endif
1363
1364  template<typename _Tp, typename _Up>
1365    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1366    fdim(_Tp __x, _Up __y)
1367    {
1368      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1369      return fdim(__type(__x), __type(__y));
1370    }
1371
1372#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1373  constexpr float
1374  fma(float __x, float __y, float __z)
1375  { return __builtin_fmaf(__x, __y, __z); }
1376
1377  constexpr long double
1378  fma(long double __x, long double __y, long double __z)
1379  { return __builtin_fmal(__x, __y, __z); }
1380#endif
1381
1382  template<typename _Tp, typename _Up, typename _Vp>
1383    constexpr typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type
1384    fma(_Tp __x, _Up __y, _Vp __z)
1385    {
1386      typedef typename __gnu_cxx::__promote_3<_Tp, _Up, _Vp>::__type __type;
1387      return fma(__type(__x), __type(__y), __type(__z));
1388    }
1389
1390#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1391  constexpr float
1392  fmax(float __x, float __y)
1393  { return __builtin_fmaxf(__x, __y); }
1394
1395  constexpr long double
1396  fmax(long double __x, long double __y)
1397  { return __builtin_fmaxl(__x, __y); }
1398#endif
1399
1400  template<typename _Tp, typename _Up>
1401    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1402    fmax(_Tp __x, _Up __y)
1403    {
1404      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1405      return fmax(__type(__x), __type(__y));
1406    }
1407
1408#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1409  constexpr float
1410  fmin(float __x, float __y)
1411  { return __builtin_fminf(__x, __y); }
1412
1413  constexpr long double
1414  fmin(long double __x, long double __y)
1415  { return __builtin_fminl(__x, __y); }
1416#endif
1417
1418  template<typename _Tp, typename _Up>
1419    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1420    fmin(_Tp __x, _Up __y)
1421    {
1422      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1423      return fmin(__type(__x), __type(__y));
1424    }
1425
1426#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1427  constexpr float
1428  hypot(float __x, float __y)
1429  { return __builtin_hypotf(__x, __y); }
1430
1431  constexpr long double
1432  hypot(long double __x, long double __y)
1433  { return __builtin_hypotl(__x, __y); }
1434#endif
1435
1436  template<typename _Tp, typename _Up>
1437    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1438    hypot(_Tp __x, _Up __y)
1439    {
1440      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1441      return hypot(__type(__x), __type(__y));
1442    }
1443
1444#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1445  constexpr int
1446  ilogb(float __x)
1447  { return __builtin_ilogbf(__x); }
1448
1449  constexpr int
1450  ilogb(long double __x)
1451  { return __builtin_ilogbl(__x); }
1452#endif
1453
1454  template<typename _Tp>
1455    constexpr
1456    typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1457                                    int>::__type
1458    ilogb(_Tp __x)
1459    { return __builtin_ilogb(__x); }
1460
1461#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1462  constexpr float
1463  lgamma(float __x)
1464  { return __builtin_lgammaf(__x); }
1465
1466  constexpr long double
1467  lgamma(long double __x)
1468  { return __builtin_lgammal(__x); }
1469#endif
1470
1471  template<typename _Tp>
1472    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1473                                              double>::__type
1474    lgamma(_Tp __x)
1475    { return __builtin_lgamma(__x); }
1476
1477#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1478  constexpr long long
1479  llrint(float __x)
1480  { return __builtin_llrintf(__x); }
1481
1482  constexpr long long
1483  llrint(long double __x)
1484  { return __builtin_llrintl(__x); }
1485#endif
1486
1487  template<typename _Tp>
1488    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1489                                              long long>::__type
1490    llrint(_Tp __x)
1491    { return __builtin_llrint(__x); }
1492
1493#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1494  constexpr long long
1495  llround(float __x)
1496  { return __builtin_llroundf(__x); }
1497
1498  constexpr long long
1499  llround(long double __x)
1500  { return __builtin_llroundl(__x); }
1501#endif
1502
1503  template<typename _Tp>
1504    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1505                                              long long>::__type
1506    llround(_Tp __x)
1507    { return __builtin_llround(__x); }
1508
1509#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1510  constexpr float
1511  log1p(float __x)
1512  { return __builtin_log1pf(__x); }
1513
1514  constexpr long double
1515  log1p(long double __x)
1516  { return __builtin_log1pl(__x); }
1517#endif
1518
1519  template<typename _Tp>
1520    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1521                                              double>::__type
1522    log1p(_Tp __x)
1523    { return __builtin_log1p(__x); }
1524
1525#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1526  // DR 568.
1527  constexpr float
1528  log2(float __x)
1529  { return __builtin_log2f(__x); }
1530
1531  constexpr long double
1532  log2(long double __x)
1533  { return __builtin_log2l(__x); }
1534#endif
1535
1536  template<typename _Tp>
1537    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1538                                              double>::__type
1539    log2(_Tp __x)
1540    { return __builtin_log2(__x); }
1541
1542#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1543  constexpr float
1544  logb(float __x)
1545  { return __builtin_logbf(__x); }
1546
1547  constexpr long double
1548  logb(long double __x)
1549  { return __builtin_logbl(__x); }
1550#endif
1551
1552  template<typename _Tp>
1553    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1554                                              double>::__type
1555    logb(_Tp __x)
1556    { return __builtin_logb(__x); }
1557
1558#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1559  constexpr long
1560  lrint(float __x)
1561  { return __builtin_lrintf(__x); }
1562
1563  constexpr long
1564  lrint(long double __x)
1565  { return __builtin_lrintl(__x); }
1566#endif
1567
1568  template<typename _Tp>
1569    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1570                                              long>::__type
1571    lrint(_Tp __x)
1572    { return __builtin_lrint(__x); }
1573
1574#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1575  constexpr long
1576  lround(float __x)
1577  { return __builtin_lroundf(__x); }
1578
1579  constexpr long
1580  lround(long double __x)
1581  { return __builtin_lroundl(__x); }
1582#endif
1583
1584  template<typename _Tp>
1585    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1586                                              long>::__type
1587    lround(_Tp __x)
1588    { return __builtin_lround(__x); }
1589
1590#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1591  constexpr float
1592  nearbyint(float __x)
1593  { return __builtin_nearbyintf(__x); }
1594
1595  constexpr long double
1596  nearbyint(long double __x)
1597  { return __builtin_nearbyintl(__x); }
1598#endif
1599
1600  template<typename _Tp>
1601    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1602                                              double>::__type
1603    nearbyint(_Tp __x)
1604    { return __builtin_nearbyint(__x); }
1605
1606#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1607  constexpr float
1608  nextafter(float __x, float __y)
1609  { return __builtin_nextafterf(__x, __y); }
1610
1611  constexpr long double
1612  nextafter(long double __x, long double __y)
1613  { return __builtin_nextafterl(__x, __y); }
1614#endif
1615
1616  template<typename _Tp, typename _Up>
1617    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1618    nextafter(_Tp __x, _Up __y)
1619    {
1620      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1621      return nextafter(__type(__x), __type(__y));
1622    }
1623
1624#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1625  constexpr float
1626  nexttoward(float __x, long double __y)
1627  { return __builtin_nexttowardf(__x, __y); }
1628
1629  constexpr long double
1630  nexttoward(long double __x, long double __y)
1631  { return __builtin_nexttowardl(__x, __y); }
1632#endif
1633
1634  template<typename _Tp>
1635    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1636                                              double>::__type
1637    nexttoward(_Tp __x, long double __y)
1638    { return __builtin_nexttoward(__x, __y); }
1639
1640#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1641  constexpr float
1642  remainder(float __x, float __y)
1643  { return __builtin_remainderf(__x, __y); }
1644
1645  constexpr long double
1646  remainder(long double __x, long double __y)
1647  { return __builtin_remainderl(__x, __y); }
1648#endif
1649
1650  template<typename _Tp, typename _Up>
1651    constexpr typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1652    remainder(_Tp __x, _Up __y)
1653    {
1654      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1655      return remainder(__type(__x), __type(__y));
1656    }
1657
1658#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1659  inline float
1660  remquo(float __x, float __y, int* __pquo)
1661  { return __builtin_remquof(__x, __y, __pquo); }
1662
1663  inline long double
1664  remquo(long double __x, long double __y, int* __pquo)
1665  { return __builtin_remquol(__x, __y, __pquo); }
1666#endif
1667
1668  template<typename _Tp, typename _Up>
1669    inline typename __gnu_cxx::__promote_2<_Tp, _Up>::__type
1670    remquo(_Tp __x, _Up __y, int* __pquo)
1671    {
1672      typedef typename __gnu_cxx::__promote_2<_Tp, _Up>::__type __type;
1673      return remquo(__type(__x), __type(__y), __pquo);
1674    }
1675
1676#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1677  constexpr float
1678  rint(float __x)
1679  { return __builtin_rintf(__x); }
1680
1681  constexpr long double
1682  rint(long double __x)
1683  { return __builtin_rintl(__x); }
1684#endif
1685
1686  template<typename _Tp>
1687    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1688                                              double>::__type
1689    rint(_Tp __x)
1690    { return __builtin_rint(__x); }
1691
1692#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1693  constexpr float
1694  round(float __x)
1695  { return __builtin_roundf(__x); }
1696
1697  constexpr long double
1698  round(long double __x)
1699  { return __builtin_roundl(__x); }
1700#endif
1701
1702  template<typename _Tp>
1703    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1704                                              double>::__type
1705    round(_Tp __x)
1706    { return __builtin_round(__x); }
1707
1708#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1709  constexpr float
1710  scalbln(float __x, long __ex)
1711  { return __builtin_scalblnf(__x, __ex); }
1712
1713  constexpr long double
1714  scalbln(long double __x, long __ex)
1715  { return __builtin_scalblnl(__x, __ex); }
1716#endif
1717
1718  template<typename _Tp>
1719    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1720                                              double>::__type
1721    scalbln(_Tp __x, long __ex)
1722    { return __builtin_scalbln(__x, __ex); }
1723 
1724#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1725  constexpr float
1726  scalbn(float __x, int __ex)
1727  { return __builtin_scalbnf(__x, __ex); }
1728
1729  constexpr long double
1730  scalbn(long double __x, int __ex)
1731  { return __builtin_scalbnl(__x, __ex); }
1732#endif
1733
1734  template<typename _Tp>
1735    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1736                                              double>::__type
1737    scalbn(_Tp __x, int __ex)
1738    { return __builtin_scalbn(__x, __ex); }
1739
1740#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1741  constexpr float
1742  tgamma(float __x)
1743  { return __builtin_tgammaf(__x); }
1744
1745  constexpr long double
1746  tgamma(long double __x)
1747  { return __builtin_tgammal(__x); }
1748#endif
1749
1750  template<typename _Tp>
1751    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1752                                              double>::__type
1753    tgamma(_Tp __x)
1754    { return __builtin_tgamma(__x); }
1755 
1756#ifndef __CORRECT_ISO_CPP11_MATH_H_PROTO
1757  constexpr float
1758  trunc(float __x)
1759  { return __builtin_truncf(__x); }
1760
1761  constexpr long double
1762  trunc(long double __x)
1763  { return __builtin_truncl(__x); }
1764#endif
1765
1766  template<typename _Tp>
1767    constexpr typename __gnu_cxx::__enable_if<__is_integer<_Tp>::__value, 
1768                                              double>::__type
1769    trunc(_Tp __x)
1770    { return __builtin_trunc(__x); }
1771
1772_GLIBCXX_END_NAMESPACE_VERSION
1773} // namespace
1774
1775#endif // _GLIBCXX_USE_C99_MATH_TR1
1776
1777#endif // C++11
1778
1779#endif
1780