cmath revision 288943
1// -*- C++ -*-
2//===---------------------------- cmath -----------------------------------===//
3//
4//                     The LLVM Compiler Infrastructure
5//
6// This file is dual licensed under the MIT and the University of Illinois Open
7// Source Licenses. See LICENSE.TXT for details.
8//
9//===----------------------------------------------------------------------===//
10
11#ifndef _LIBCPP_CMATH
12#define _LIBCPP_CMATH
13
14/*
15    cmath synopsis
16
17Macros:
18
19    HUGE_VAL
20    HUGE_VALF               // C99
21    HUGE_VALL               // C99
22    INFINITY                // C99
23    NAN                     // C99
24    FP_INFINITE             // C99
25    FP_NAN                  // C99
26    FP_NORMAL               // C99
27    FP_SUBNORMAL            // C99
28    FP_ZERO                 // C99
29    FP_FAST_FMA             // C99
30    FP_FAST_FMAF            // C99
31    FP_FAST_FMAL            // C99
32    FP_ILOGB0               // C99
33    FP_ILOGBNAN             // C99
34    MATH_ERRNO              // C99
35    MATH_ERREXCEPT          // C99
36    math_errhandling        // C99
37
38namespace std
39{
40
41Types:
42
43    float_t                 // C99
44    double_t                // C99
45
46// C90
47
48floating_point abs(floating_point x);
49
50floating_point acos (arithmetic x);
51float          acosf(float x);
52long double    acosl(long double x);
53
54floating_point asin (arithmetic x);
55float          asinf(float x);
56long double    asinl(long double x);
57
58floating_point atan (arithmetic x);
59float          atanf(float x);
60long double    atanl(long double x);
61
62floating_point atan2 (arithmetic y, arithmetic x);
63float          atan2f(float y, float x);
64long double    atan2l(long double y, long double x);
65
66floating_point ceil (arithmetic x);
67float          ceilf(float x);
68long double    ceill(long double x);
69
70floating_point cos (arithmetic x);
71float          cosf(float x);
72long double    cosl(long double x);
73
74floating_point cosh (arithmetic x);
75float          coshf(float x);
76long double    coshl(long double x);
77
78floating_point exp (arithmetic x);
79float          expf(float x);
80long double    expl(long double x);
81
82floating_point fabs (arithmetic x);
83float          fabsf(float x);
84long double    fabsl(long double x);
85
86floating_point floor (arithmetic x);
87float          floorf(float x);
88long double    floorl(long double x);
89
90floating_point fmod (arithmetic x, arithmetic y);
91float          fmodf(float x, float y);
92long double    fmodl(long double x, long double y);
93
94floating_point frexp (arithmetic value, int* exp);
95float          frexpf(float value, int* exp);
96long double    frexpl(long double value, int* exp);
97
98floating_point ldexp (arithmetic value, int exp);
99float          ldexpf(float value, int exp);
100long double    ldexpl(long double value, int exp);
101
102floating_point log (arithmetic x);
103float          logf(float x);
104long double    logl(long double x);
105
106floating_point log10 (arithmetic x);
107float          log10f(float x);
108long double    log10l(long double x);
109
110floating_point modf (floating_point value, floating_point* iptr);
111float          modff(float value, float* iptr);
112long double    modfl(long double value, long double* iptr);
113
114floating_point pow (arithmetic x, arithmetic y);
115float          powf(float x, float y);
116long double    powl(long double x, long double y);
117
118floating_point sin (arithmetic x);
119float          sinf(float x);
120long double    sinl(long double x);
121
122floating_point sinh (arithmetic x);
123float          sinhf(float x);
124long double    sinhl(long double x);
125
126floating_point sqrt (arithmetic x);
127float          sqrtf(float x);
128long double    sqrtl(long double x);
129
130floating_point tan (arithmetic x);
131float          tanf(float x);
132long double    tanl(long double x);
133
134floating_point tanh (arithmetic x);
135float          tanhf(float x);
136long double    tanhl(long double x);
137
138//  C99
139
140bool signbit(arithmetic x);
141
142int fpclassify(arithmetic x);
143
144bool isfinite(arithmetic x);
145bool isinf(arithmetic x);
146bool isnan(arithmetic x);
147bool isnormal(arithmetic x);
148
149bool isgreater(arithmetic x, arithmetic y);
150bool isgreaterequal(arithmetic x, arithmetic y);
151bool isless(arithmetic x, arithmetic y);
152bool islessequal(arithmetic x, arithmetic y);
153bool islessgreater(arithmetic x, arithmetic y);
154bool isunordered(arithmetic x, arithmetic y);
155
156floating_point acosh (arithmetic x);
157float          acoshf(float x);
158long double    acoshl(long double x);
159
160floating_point asinh (arithmetic x);
161float          asinhf(float x);
162long double    asinhl(long double x);
163
164floating_point atanh (arithmetic x);
165float          atanhf(float x);
166long double    atanhl(long double x);
167
168floating_point cbrt (arithmetic x);
169float          cbrtf(float x);
170long double    cbrtl(long double x);
171
172floating_point copysign (arithmetic x, arithmetic y);
173float          copysignf(float x, float y);
174long double    copysignl(long double x, long double y);
175
176floating_point erf (arithmetic x);
177float          erff(float x);
178long double    erfl(long double x);
179
180floating_point erfc (arithmetic x);
181float          erfcf(float x);
182long double    erfcl(long double x);
183
184floating_point exp2 (arithmetic x);
185float          exp2f(float x);
186long double    exp2l(long double x);
187
188floating_point expm1 (arithmetic x);
189float          expm1f(float x);
190long double    expm1l(long double x);
191
192floating_point fdim (arithmetic x, arithmetic y);
193float          fdimf(float x, float y);
194long double    fdiml(long double x, long double y);
195
196floating_point fma (arithmetic x, arithmetic y, arithmetic z);
197float          fmaf(float x, float y, float z);
198long double    fmal(long double x, long double y, long double z);
199
200floating_point fmax (arithmetic x, arithmetic y);
201float          fmaxf(float x, float y);
202long double    fmaxl(long double x, long double y);
203
204floating_point fmin (arithmetic x, arithmetic y);
205float          fminf(float x, float y);
206long double    fminl(long double x, long double y);
207
208floating_point hypot (arithmetic x, arithmetic y);
209float          hypotf(float x, float y);
210long double    hypotl(long double x, long double y);
211
212int ilogb (arithmetic x);
213int ilogbf(float x);
214int ilogbl(long double x);
215
216floating_point lgamma (arithmetic x);
217float          lgammaf(float x);
218long double    lgammal(long double x);
219
220long long llrint (arithmetic x);
221long long llrintf(float x);
222long long llrintl(long double x);
223
224long long llround (arithmetic x);
225long long llroundf(float x);
226long long llroundl(long double x);
227
228floating_point log1p (arithmetic x);
229float          log1pf(float x);
230long double    log1pl(long double x);
231
232floating_point log2 (arithmetic x);
233float          log2f(float x);
234long double    log2l(long double x);
235
236floating_point logb (arithmetic x);
237float          logbf(float x);
238long double    logbl(long double x);
239
240long lrint (arithmetic x);
241long lrintf(float x);
242long lrintl(long double x);
243
244long lround (arithmetic x);
245long lroundf(float x);
246long lroundl(long double x);
247
248double      nan (const char* str);
249float       nanf(const char* str);
250long double nanl(const char* str);
251
252floating_point nearbyint (arithmetic x);
253float          nearbyintf(float x);
254long double    nearbyintl(long double x);
255
256floating_point nextafter (arithmetic x, arithmetic y);
257float          nextafterf(float x, float y);
258long double    nextafterl(long double x, long double y);
259
260floating_point nexttoward (arithmetic x, long double y);
261float          nexttowardf(float x, long double y);
262long double    nexttowardl(long double x, long double y);
263
264floating_point remainder (arithmetic x, arithmetic y);
265float          remainderf(float x, float y);
266long double    remainderl(long double x, long double y);
267
268floating_point remquo (arithmetic x, arithmetic y, int* pquo);
269float          remquof(float x, float y, int* pquo);
270long double    remquol(long double x, long double y, int* pquo);
271
272floating_point rint (arithmetic x);
273float          rintf(float x);
274long double    rintl(long double x);
275
276floating_point round (arithmetic x);
277float          roundf(float x);
278long double    roundl(long double x);
279
280floating_point scalbln (arithmetic x, long ex);
281float          scalblnf(float x, long ex);
282long double    scalblnl(long double x, long ex);
283
284floating_point scalbn (arithmetic x, int ex);
285float          scalbnf(float x, int ex);
286long double    scalbnl(long double x, int ex);
287
288floating_point tgamma (arithmetic x);
289float          tgammaf(float x);
290long double    tgammal(long double x);
291
292floating_point trunc (arithmetic x);
293float          truncf(float x);
294long double    truncl(long double x);
295
296}  // std
297
298*/
299
300#include <__config>
301#include <math.h>
302#include <type_traits>
303
304#ifdef _LIBCPP_MSVCRT
305#include "support/win32/math_win32.h"
306#endif
307
308#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
309#pragma GCC system_header
310#endif
311
312// signbit
313
314#ifdef signbit
315
316template <class _A1>
317_LIBCPP_ALWAYS_INLINE
318bool
319__libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
320{
321    return signbit(__lcpp_x);
322}
323
324#undef signbit
325
326template <class _A1>
327inline _LIBCPP_INLINE_VISIBILITY
328typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
329signbit(_A1 __lcpp_x) _NOEXCEPT
330{
331    return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
332}
333
334#endif  // signbit
335
336// fpclassify
337
338#ifdef fpclassify
339
340template <class _A1>
341_LIBCPP_ALWAYS_INLINE
342int
343__libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
344{
345    return fpclassify(__lcpp_x);
346}
347
348#undef fpclassify
349
350template <class _A1>
351inline _LIBCPP_INLINE_VISIBILITY
352typename std::enable_if<std::is_arithmetic<_A1>::value, int>::type
353fpclassify(_A1 __lcpp_x) _NOEXCEPT
354{
355    return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
356}
357
358#endif  // fpclassify
359
360// isfinite
361
362#ifdef isfinite
363
364template <class _A1>
365_LIBCPP_ALWAYS_INLINE
366bool
367__libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
368{
369    return isfinite(__lcpp_x);
370}
371
372#undef isfinite
373
374template <class _A1>
375inline _LIBCPP_INLINE_VISIBILITY
376typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
377isfinite(_A1 __lcpp_x) _NOEXCEPT
378{
379    return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
380}
381
382#endif  // isfinite
383
384// isinf
385
386#ifdef isinf
387
388template <class _A1>
389_LIBCPP_ALWAYS_INLINE
390bool
391__libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
392{
393    return isinf(__lcpp_x);
394}
395
396#undef isinf
397
398template <class _A1>
399inline _LIBCPP_INLINE_VISIBILITY
400typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
401isinf(_A1 __lcpp_x) _NOEXCEPT
402{
403    return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
404}
405
406#endif  // isinf
407
408// isnan
409
410#ifdef isnan
411
412template <class _A1>
413_LIBCPP_ALWAYS_INLINE
414bool
415__libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
416{
417    return isnan(__lcpp_x);
418}
419
420#undef isnan
421
422template <class _A1>
423inline _LIBCPP_INLINE_VISIBILITY
424typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
425isnan(_A1 __lcpp_x) _NOEXCEPT
426{
427    return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
428}
429
430#endif  // isnan
431
432// isnormal
433
434#ifdef isnormal
435
436template <class _A1>
437_LIBCPP_ALWAYS_INLINE
438bool
439__libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
440{
441    return isnormal(__lcpp_x);
442}
443
444#undef isnormal
445
446template <class _A1>
447inline _LIBCPP_INLINE_VISIBILITY
448typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
449isnormal(_A1 __lcpp_x) _NOEXCEPT
450{
451    return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
452}
453
454#endif  // isnormal
455
456// isgreater
457
458#ifdef isgreater
459
460template <class _A1, class _A2>
461_LIBCPP_ALWAYS_INLINE
462bool
463__libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
464{
465    return isgreater(__lcpp_x, __lcpp_y);
466}
467
468#undef isgreater
469
470template <class _A1, class _A2>
471inline _LIBCPP_INLINE_VISIBILITY
472typename std::enable_if
473<
474    std::is_arithmetic<_A1>::value &&
475    std::is_arithmetic<_A2>::value,
476    bool
477>::type
478isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
479{
480    typedef typename std::__promote<_A1, _A2>::type type;
481    return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
482}
483
484#endif  // isgreater
485
486// isgreaterequal
487
488#ifdef isgreaterequal
489
490template <class _A1, class _A2>
491_LIBCPP_ALWAYS_INLINE
492bool
493__libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
494{
495    return isgreaterequal(__lcpp_x, __lcpp_y);
496}
497
498#undef isgreaterequal
499
500template <class _A1, class _A2>
501inline _LIBCPP_INLINE_VISIBILITY
502typename std::enable_if
503<
504    std::is_arithmetic<_A1>::value &&
505    std::is_arithmetic<_A2>::value,
506    bool
507>::type
508isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
509{
510    typedef typename std::__promote<_A1, _A2>::type type;
511    return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
512}
513
514#endif  // isgreaterequal
515
516// isless
517
518#ifdef isless
519
520template <class _A1, class _A2>
521_LIBCPP_ALWAYS_INLINE
522bool
523__libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
524{
525    return isless(__lcpp_x, __lcpp_y);
526}
527
528#undef isless
529
530template <class _A1, class _A2>
531inline _LIBCPP_INLINE_VISIBILITY
532typename std::enable_if
533<
534    std::is_arithmetic<_A1>::value &&
535    std::is_arithmetic<_A2>::value,
536    bool
537>::type
538isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
539{
540    typedef typename std::__promote<_A1, _A2>::type type;
541    return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
542}
543
544#endif  // isless
545
546// islessequal
547
548#ifdef islessequal
549
550template <class _A1, class _A2>
551_LIBCPP_ALWAYS_INLINE
552bool
553__libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
554{
555    return islessequal(__lcpp_x, __lcpp_y);
556}
557
558#undef islessequal
559
560template <class _A1, class _A2>
561inline _LIBCPP_INLINE_VISIBILITY
562typename std::enable_if
563<
564    std::is_arithmetic<_A1>::value &&
565    std::is_arithmetic<_A2>::value,
566    bool
567>::type
568islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
569{
570    typedef typename std::__promote<_A1, _A2>::type type;
571    return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
572}
573
574#endif  // islessequal
575
576// islessgreater
577
578#ifdef islessgreater
579
580template <class _A1, class _A2>
581_LIBCPP_ALWAYS_INLINE
582bool
583__libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
584{
585    return islessgreater(__lcpp_x, __lcpp_y);
586}
587
588#undef islessgreater
589
590template <class _A1, class _A2>
591inline _LIBCPP_INLINE_VISIBILITY
592typename std::enable_if
593<
594    std::is_arithmetic<_A1>::value &&
595    std::is_arithmetic<_A2>::value,
596    bool
597>::type
598islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
599{
600    typedef typename std::__promote<_A1, _A2>::type type;
601    return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
602}
603
604#endif  // islessgreater
605
606// isunordered
607
608#ifdef isunordered
609
610template <class _A1, class _A2>
611_LIBCPP_ALWAYS_INLINE
612bool
613__libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
614{
615    return isunordered(__lcpp_x, __lcpp_y);
616}
617
618#undef isunordered
619
620template <class _A1, class _A2>
621inline _LIBCPP_INLINE_VISIBILITY
622typename std::enable_if
623<
624    std::is_arithmetic<_A1>::value &&
625    std::is_arithmetic<_A2>::value,
626    bool
627>::type
628isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
629{
630    typedef typename std::__promote<_A1, _A2>::type type;
631    return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
632}
633
634#endif  // isunordered
635
636_LIBCPP_BEGIN_NAMESPACE_STD
637
638using ::signbit;
639using ::fpclassify;
640using ::isfinite;
641using ::isinf;
642using ::isnan;
643using ::isnormal;
644using ::isgreater;
645using ::isgreaterequal;
646using ::isless;
647using ::islessequal;
648using ::islessgreater;
649using ::isunordered;
650using ::isunordered;
651
652using ::float_t;
653using ::double_t;
654
655// abs
656
657#if defined(__sun__)
658using ::abs;
659#endif
660
661#if !defined(_AIX) && !defined(__sun__)
662inline _LIBCPP_INLINE_VISIBILITY
663float
664abs(float __lcpp_x) _NOEXCEPT {return fabsf(__lcpp_x);}
665
666inline _LIBCPP_INLINE_VISIBILITY
667double
668abs(double __lcpp_x) _NOEXCEPT {return fabs(__lcpp_x);}
669
670inline _LIBCPP_INLINE_VISIBILITY
671long double
672abs(long double __lcpp_x) _NOEXCEPT {return fabsl(__lcpp_x);}
673#endif // !defined(_AIX)
674
675#ifndef __sun__
676
677// acos
678
679using ::acos;
680using ::acosf;
681
682#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
683inline _LIBCPP_INLINE_VISIBILITY float       acos(float __lcpp_x) _NOEXCEPT       {return acosf(__lcpp_x);}
684inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return acosl(__lcpp_x);}
685#endif
686
687template <class _A1>
688inline _LIBCPP_INLINE_VISIBILITY
689typename enable_if<is_integral<_A1>::value, double>::type
690acos(_A1 __lcpp_x) _NOEXCEPT {return acos((double)__lcpp_x);}
691
692// asin
693
694using ::asin;
695using ::asinf;
696
697#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
698inline _LIBCPP_INLINE_VISIBILITY float       asin(float __lcpp_x) _NOEXCEPT       {return asinf(__lcpp_x);}
699inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return asinl(__lcpp_x);}
700#endif
701
702template <class _A1>
703inline _LIBCPP_INLINE_VISIBILITY
704typename enable_if<is_integral<_A1>::value, double>::type
705asin(_A1 __lcpp_x) _NOEXCEPT {return asin((double)__lcpp_x);}
706
707// atan
708
709using ::atan;
710using ::atanf;
711
712#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
713inline _LIBCPP_INLINE_VISIBILITY float       atan(float __lcpp_x) _NOEXCEPT       {return atanf(__lcpp_x);}
714inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return atanl(__lcpp_x);}
715#endif
716
717template <class _A1>
718inline _LIBCPP_INLINE_VISIBILITY
719typename enable_if<is_integral<_A1>::value, double>::type
720atan(_A1 __lcpp_x) _NOEXCEPT {return atan((double)__lcpp_x);}
721
722// atan2
723
724using ::atan2;
725using ::atan2f;
726
727#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
728inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT             {return atan2f(__lcpp_y, __lcpp_x);}
729inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return atan2l(__lcpp_y, __lcpp_x);}
730#endif
731
732template <class _A1, class _A2>
733inline _LIBCPP_INLINE_VISIBILITY
734typename __lazy_enable_if
735<
736    is_arithmetic<_A1>::value &&
737    is_arithmetic<_A2>::value,
738    __promote<_A1, _A2>
739>::type
740atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
741{
742    typedef typename __promote<_A1, _A2>::type __result_type;
743    static_assert((!(is_same<_A1, __result_type>::value &&
744                      is_same<_A2, __result_type>::value)), "");
745    return atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
746}
747
748// ceil
749
750using ::ceil;
751using ::ceilf;
752
753#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
754inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __lcpp_x) _NOEXCEPT       {return ceilf(__lcpp_x);}
755inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ceill(__lcpp_x);}
756#endif
757
758template <class _A1>
759inline _LIBCPP_INLINE_VISIBILITY
760typename enable_if<is_integral<_A1>::value, double>::type
761ceil(_A1 __lcpp_x) _NOEXCEPT {return ceil((double)__lcpp_x);}
762
763// cos
764
765using ::cos;
766using ::cosf;
767
768#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
769inline _LIBCPP_INLINE_VISIBILITY float       cos(float __lcpp_x) _NOEXCEPT       {return cosf(__lcpp_x);}
770inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return cosl(__lcpp_x);}
771#endif
772
773template <class _A1>
774inline _LIBCPP_INLINE_VISIBILITY
775typename enable_if<is_integral<_A1>::value, double>::type
776cos(_A1 __lcpp_x) _NOEXCEPT {return cos((double)__lcpp_x);}
777
778// cosh
779
780using ::cosh;
781using ::coshf;
782
783#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
784inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __lcpp_x) _NOEXCEPT       {return coshf(__lcpp_x);}
785inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return coshl(__lcpp_x);}
786#endif
787
788template <class _A1>
789inline _LIBCPP_INLINE_VISIBILITY
790typename enable_if<is_integral<_A1>::value, double>::type
791cosh(_A1 __lcpp_x) _NOEXCEPT {return cosh((double)__lcpp_x);}
792
793#endif // __sun__
794// exp
795
796using ::exp;
797using ::expf;
798
799#ifndef __sun__
800
801#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
802inline _LIBCPP_INLINE_VISIBILITY float       exp(float __lcpp_x) _NOEXCEPT       {return expf(__lcpp_x);}
803inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return expl(__lcpp_x);}
804#endif
805
806
807template <class _A1>
808inline _LIBCPP_INLINE_VISIBILITY
809typename enable_if<is_integral<_A1>::value, double>::type
810exp(_A1 __lcpp_x) _NOEXCEPT {return exp((double)__lcpp_x);}
811
812// fabs
813
814using ::fabs;
815using ::fabsf;
816
817#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
818inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __lcpp_x) _NOEXCEPT       {return fabsf(__lcpp_x);}
819inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return fabsl(__lcpp_x);}
820#endif
821
822template <class _A1>
823inline _LIBCPP_INLINE_VISIBILITY
824typename enable_if<is_integral<_A1>::value, double>::type
825fabs(_A1 __lcpp_x) _NOEXCEPT {return fabs((double)__lcpp_x);}
826
827// floor
828
829using ::floor;
830using ::floorf;
831
832#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
833inline _LIBCPP_INLINE_VISIBILITY float       floor(float __lcpp_x) _NOEXCEPT       {return floorf(__lcpp_x);}
834inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return floorl(__lcpp_x);}
835#endif
836
837template <class _A1>
838inline _LIBCPP_INLINE_VISIBILITY
839typename enable_if<is_integral<_A1>::value, double>::type
840floor(_A1 __lcpp_x) _NOEXCEPT {return floor((double)__lcpp_x);}
841
842// fmod
843
844#endif //__sun__
845using ::fmod;
846using ::fmodf;
847#ifndef __sun__
848
849#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
850inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fmodf(__lcpp_x, __lcpp_y);}
851inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fmodl(__lcpp_x, __lcpp_y);}
852#endif
853
854template <class _A1, class _A2>
855inline _LIBCPP_INLINE_VISIBILITY
856typename __lazy_enable_if
857<
858    is_arithmetic<_A1>::value &&
859    is_arithmetic<_A2>::value,
860    __promote<_A1, _A2>
861>::type
862fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
863{
864    typedef typename __promote<_A1, _A2>::type __result_type;
865    static_assert((!(is_same<_A1, __result_type>::value &&
866                      is_same<_A2, __result_type>::value)), "");
867    return fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
868}
869
870
871// frexp
872
873using ::frexp;
874using ::frexpf;
875
876#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
877inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT       {return frexpf(__lcpp_x, __lcpp_e);}
878inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return frexpl(__lcpp_x, __lcpp_e);}
879#endif
880
881template <class _A1>
882inline _LIBCPP_INLINE_VISIBILITY
883typename enable_if<is_integral<_A1>::value, double>::type
884frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return frexp((double)__lcpp_x, __lcpp_e);}
885
886// ldexp
887
888using ::ldexp;
889using ::ldexpf;
890
891#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
892inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT       {return ldexpf(__lcpp_x, __lcpp_e);}
893inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ldexpl(__lcpp_x, __lcpp_e);}
894#endif
895
896template <class _A1>
897inline _LIBCPP_INLINE_VISIBILITY
898typename enable_if<is_integral<_A1>::value, double>::type
899ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ldexp((double)__lcpp_x, __lcpp_e);}
900
901// log
902
903#endif // __sun__
904using ::log;
905using ::logf;
906#ifndef __sun__
907
908#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
909inline _LIBCPP_INLINE_VISIBILITY float       log(float __lcpp_x) _NOEXCEPT       {return logf(__lcpp_x);}
910inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return logl(__lcpp_x);}
911#endif
912
913template <class _A1>
914inline _LIBCPP_INLINE_VISIBILITY
915typename enable_if<is_integral<_A1>::value, double>::type
916log(_A1 __lcpp_x) _NOEXCEPT {return log((double)__lcpp_x);}
917
918
919// log10
920
921using ::log10;
922using ::log10f;
923
924#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
925inline _LIBCPP_INLINE_VISIBILITY float       log10(float __lcpp_x) _NOEXCEPT       {return log10f(__lcpp_x);}
926inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return log10l(__lcpp_x);}
927#endif
928
929template <class _A1>
930inline _LIBCPP_INLINE_VISIBILITY
931typename enable_if<is_integral<_A1>::value, double>::type
932log10(_A1 __lcpp_x) _NOEXCEPT {return log10((double)__lcpp_x);}
933
934// modf
935
936using ::modf;
937using ::modff;
938
939#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
940inline _LIBCPP_INLINE_VISIBILITY float       modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT             {return modff(__lcpp_x, __lcpp_y);}
941inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return modfl(__lcpp_x, __lcpp_y);}
942#endif
943
944// pow
945
946#endif // __sun__ 
947using ::pow;
948using ::powf;
949
950#ifndef __sun__
951
952#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
953inline _LIBCPP_INLINE_VISIBILITY float       pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return powf(__lcpp_x, __lcpp_y);}
954inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return powl(__lcpp_x, __lcpp_y);}
955#endif
956
957template <class _A1, class _A2>
958inline _LIBCPP_INLINE_VISIBILITY
959typename __lazy_enable_if
960<
961    is_arithmetic<_A1>::value &&
962    is_arithmetic<_A2>::value,
963    __promote<_A1, _A2>
964>::type
965pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
966{
967    typedef typename __promote<_A1, _A2>::type __result_type;
968    static_assert((!(is_same<_A1, __result_type>::value &&
969                      is_same<_A2, __result_type>::value)), "");
970    return pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
971}
972
973// sin
974
975using ::sin;
976using ::sinf;
977
978#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
979inline _LIBCPP_INLINE_VISIBILITY float       sin(float __lcpp_x) _NOEXCEPT       {return sinf(__lcpp_x);}
980inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return sinl(__lcpp_x);}
981#endif
982
983template <class _A1>
984inline _LIBCPP_INLINE_VISIBILITY
985typename enable_if<is_integral<_A1>::value, double>::type
986sin(_A1 __lcpp_x) _NOEXCEPT {return sin((double)__lcpp_x);}
987
988// sinh
989
990using ::sinh;
991using ::sinhf;
992
993#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
994inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __lcpp_x) _NOEXCEPT       {return sinhf(__lcpp_x);}
995inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return sinhl(__lcpp_x);}
996#endif
997
998template <class _A1>
999inline _LIBCPP_INLINE_VISIBILITY
1000typename enable_if<is_integral<_A1>::value, double>::type
1001sinh(_A1 __lcpp_x) _NOEXCEPT {return sinh((double)__lcpp_x);}
1002
1003// sqrt
1004
1005#endif // __sun__
1006using ::sqrt;
1007using ::sqrtf;
1008
1009
1010#if !(defined(_LIBCPP_MSVCRT) || defined(__sun__) || defined(_AIX))
1011inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __lcpp_x) _NOEXCEPT       {return sqrtf(__lcpp_x);}
1012inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return sqrtl(__lcpp_x);}
1013#endif
1014
1015template <class _A1>
1016inline _LIBCPP_INLINE_VISIBILITY
1017typename enable_if<is_integral<_A1>::value, double>::type
1018sqrt(_A1 __lcpp_x) _NOEXCEPT {return sqrt((double)__lcpp_x);}
1019
1020// tan
1021
1022using ::tan;
1023using ::tanf;
1024#ifndef __sun__
1025
1026#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
1027inline _LIBCPP_INLINE_VISIBILITY float       tan(float __lcpp_x) _NOEXCEPT       {return tanf(__lcpp_x);}
1028inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return tanl(__lcpp_x);}
1029#endif
1030
1031template <class _A1>
1032inline _LIBCPP_INLINE_VISIBILITY
1033typename enable_if<is_integral<_A1>::value, double>::type
1034tan(_A1 __lcpp_x) _NOEXCEPT {return tan((double)__lcpp_x);}
1035
1036// tanh
1037
1038using ::tanh;
1039using ::tanhf;
1040
1041#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
1042inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __lcpp_x) _NOEXCEPT       {return tanhf(__lcpp_x);}
1043inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return tanhl(__lcpp_x);}
1044#endif
1045
1046template <class _A1>
1047inline _LIBCPP_INLINE_VISIBILITY
1048typename enable_if<is_integral<_A1>::value, double>::type
1049tanh(_A1 __lcpp_x) _NOEXCEPT {return tanh((double)__lcpp_x);}
1050
1051// acosh
1052
1053#ifndef _LIBCPP_MSVCRT
1054using ::acosh;
1055using ::acoshf;
1056
1057inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __lcpp_x) _NOEXCEPT       {return acoshf(__lcpp_x);}
1058inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return acoshl(__lcpp_x);}
1059
1060template <class _A1>
1061inline _LIBCPP_INLINE_VISIBILITY
1062typename enable_if<is_integral<_A1>::value, double>::type
1063acosh(_A1 __lcpp_x) _NOEXCEPT {return acosh((double)__lcpp_x);}
1064#endif
1065
1066// asinh
1067
1068#ifndef _LIBCPP_MSVCRT
1069using ::asinh;
1070using ::asinhf;
1071
1072inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __lcpp_x) _NOEXCEPT       {return asinhf(__lcpp_x);}
1073inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return asinhl(__lcpp_x);}
1074
1075template <class _A1>
1076inline _LIBCPP_INLINE_VISIBILITY
1077typename enable_if<is_integral<_A1>::value, double>::type
1078asinh(_A1 __lcpp_x) _NOEXCEPT {return asinh((double)__lcpp_x);}
1079#endif
1080
1081// atanh
1082
1083#ifndef _LIBCPP_MSVCRT
1084using ::atanh;
1085using ::atanhf;
1086
1087inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __lcpp_x) _NOEXCEPT       {return atanhf(__lcpp_x);}
1088inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return atanhl(__lcpp_x);}
1089
1090template <class _A1>
1091inline _LIBCPP_INLINE_VISIBILITY
1092typename enable_if<is_integral<_A1>::value, double>::type
1093atanh(_A1 __lcpp_x) _NOEXCEPT {return atanh((double)__lcpp_x);}
1094#endif
1095
1096// cbrt
1097
1098#ifndef _LIBCPP_MSVCRT
1099using ::cbrt;
1100using ::cbrtf;
1101
1102inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __lcpp_x) _NOEXCEPT       {return cbrtf(__lcpp_x);}
1103inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return cbrtl(__lcpp_x);}
1104
1105template <class _A1>
1106inline _LIBCPP_INLINE_VISIBILITY
1107typename enable_if<is_integral<_A1>::value, double>::type
1108cbrt(_A1 __lcpp_x) _NOEXCEPT {return cbrt((double)__lcpp_x);}
1109#endif
1110
1111// copysign
1112
1113using ::copysign;
1114using ::copysignf;
1115
1116#if !defined(_VC_CRT_MAJOR_VERSION) || (_VC_CRT_MAJOR_VERSION < 12)
1117inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
1118                                                float __lcpp_y) _NOEXCEPT {
1119  return copysignf(__lcpp_x, __lcpp_y);
1120}
1121inline _LIBCPP_INLINE_VISIBILITY long double
1122copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
1123  return copysignl(__lcpp_x, __lcpp_y);
1124}
1125#endif
1126
1127template <class _A1, class _A2>
1128inline _LIBCPP_INLINE_VISIBILITY
1129typename __lazy_enable_if
1130<
1131    is_arithmetic<_A1>::value &&
1132    is_arithmetic<_A2>::value,
1133    __promote<_A1, _A2>
1134>::type
1135copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1136{
1137    typedef typename __promote<_A1, _A2>::type __result_type;
1138    static_assert((!(is_same<_A1, __result_type>::value &&
1139                      is_same<_A2, __result_type>::value)), "");
1140    return copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1141}
1142
1143#ifndef _LIBCPP_MSVCRT
1144
1145// erf
1146
1147using ::erf;
1148using ::erff;
1149
1150inline _LIBCPP_INLINE_VISIBILITY float       erf(float __lcpp_x) _NOEXCEPT       {return erff(__lcpp_x);}
1151inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return erfl(__lcpp_x);}
1152
1153template <class _A1>
1154inline _LIBCPP_INLINE_VISIBILITY
1155typename enable_if<is_integral<_A1>::value, double>::type
1156erf(_A1 __lcpp_x) _NOEXCEPT {return erf((double)__lcpp_x);}
1157
1158// erfc
1159
1160using ::erfc;
1161using ::erfcf;
1162
1163inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __lcpp_x) _NOEXCEPT       {return erfcf(__lcpp_x);}
1164inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return erfcl(__lcpp_x);}
1165
1166template <class _A1>
1167inline _LIBCPP_INLINE_VISIBILITY
1168typename enable_if<is_integral<_A1>::value, double>::type
1169erfc(_A1 __lcpp_x) _NOEXCEPT {return erfc((double)__lcpp_x);}
1170
1171// exp2
1172
1173using ::exp2;
1174using ::exp2f;
1175
1176inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __lcpp_x) _NOEXCEPT       {return exp2f(__lcpp_x);}
1177inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return exp2l(__lcpp_x);}
1178
1179template <class _A1>
1180inline _LIBCPP_INLINE_VISIBILITY
1181typename enable_if<is_integral<_A1>::value, double>::type
1182exp2(_A1 __lcpp_x) _NOEXCEPT {return exp2((double)__lcpp_x);}
1183
1184// expm1
1185
1186using ::expm1;
1187using ::expm1f;
1188
1189inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __lcpp_x) _NOEXCEPT       {return expm1f(__lcpp_x);}
1190inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return expm1l(__lcpp_x);}
1191
1192template <class _A1>
1193inline _LIBCPP_INLINE_VISIBILITY
1194typename enable_if<is_integral<_A1>::value, double>::type
1195expm1(_A1 __lcpp_x) _NOEXCEPT {return expm1((double)__lcpp_x);}
1196
1197// fdim
1198
1199using ::fdim;
1200using ::fdimf;
1201
1202inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fdimf(__lcpp_x, __lcpp_y);}
1203inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fdiml(__lcpp_x, __lcpp_y);}
1204
1205template <class _A1, class _A2>
1206inline _LIBCPP_INLINE_VISIBILITY
1207typename __lazy_enable_if
1208<
1209    is_arithmetic<_A1>::value &&
1210    is_arithmetic<_A2>::value,
1211    __promote<_A1, _A2>
1212>::type
1213fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1214{
1215    typedef typename __promote<_A1, _A2>::type __result_type;
1216    static_assert((!(is_same<_A1, __result_type>::value &&
1217                      is_same<_A2, __result_type>::value)), "");
1218    return fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1219}
1220
1221// fma
1222
1223using ::fmaf;
1224using ::fma;
1225
1226inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT                   {return fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
1227inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __lcpp_x, long double __lcpp_y, long double __lcpp_z) _NOEXCEPT {return fmal(__lcpp_x, __lcpp_y, __lcpp_z);}
1228
1229template <class _A1, class _A2, class _A3>
1230inline _LIBCPP_INLINE_VISIBILITY
1231typename __lazy_enable_if
1232<
1233    is_arithmetic<_A1>::value &&
1234    is_arithmetic<_A2>::value &&
1235    is_arithmetic<_A3>::value,
1236    __promote<_A1, _A2, _A3>
1237>::type
1238fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
1239{
1240    typedef typename __promote<_A1, _A2, _A3>::type __result_type;
1241    static_assert((!(is_same<_A1, __result_type>::value &&
1242                      is_same<_A2, __result_type>::value &&
1243                      is_same<_A3, __result_type>::value)), "");
1244    return fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
1245}
1246
1247// fmax
1248
1249using ::fmax;
1250using ::fmaxf;
1251
1252inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fmaxf(__lcpp_x, __lcpp_y);}
1253inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fmaxl(__lcpp_x, __lcpp_y);}
1254
1255template <class _A1, class _A2>
1256inline _LIBCPP_INLINE_VISIBILITY
1257typename __lazy_enable_if
1258<
1259    is_arithmetic<_A1>::value &&
1260    is_arithmetic<_A2>::value,
1261    __promote<_A1, _A2>
1262>::type
1263fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1264{
1265    typedef typename __promote<_A1, _A2>::type __result_type;
1266    static_assert((!(is_same<_A1, __result_type>::value &&
1267                      is_same<_A2, __result_type>::value)), "");
1268    return fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1269}
1270
1271// fmin
1272
1273using ::fmin;
1274using ::fminf;
1275
1276inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return fminf(__lcpp_x, __lcpp_y);}
1277inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return fminl(__lcpp_x, __lcpp_y);}
1278
1279template <class _A1, class _A2>
1280inline _LIBCPP_INLINE_VISIBILITY
1281typename __lazy_enable_if
1282<
1283    is_arithmetic<_A1>::value &&
1284    is_arithmetic<_A2>::value,
1285    __promote<_A1, _A2>
1286>::type
1287fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1288{
1289    typedef typename __promote<_A1, _A2>::type __result_type;
1290    static_assert((!(is_same<_A1, __result_type>::value &&
1291                      is_same<_A2, __result_type>::value)), "");
1292    return fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1293}
1294
1295// hypot
1296
1297using ::hypot;
1298using ::hypotf;
1299
1300inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return hypotf(__lcpp_x, __lcpp_y);}
1301inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return hypotl(__lcpp_x, __lcpp_y);}
1302
1303template <class _A1, class _A2>
1304inline _LIBCPP_INLINE_VISIBILITY
1305typename __lazy_enable_if
1306<
1307    is_arithmetic<_A1>::value &&
1308    is_arithmetic<_A2>::value,
1309    __promote<_A1, _A2>
1310>::type
1311hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1312{
1313    typedef typename __promote<_A1, _A2>::type __result_type;
1314    static_assert((!(is_same<_A1, __result_type>::value &&
1315                      is_same<_A2, __result_type>::value)), "");
1316    return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1317}
1318
1319// ilogb
1320
1321using ::ilogb;
1322using ::ilogbf;
1323
1324inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT       {return ilogbf(__lcpp_x);}
1325inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ilogbl(__lcpp_x);}
1326
1327template <class _A1>
1328inline _LIBCPP_INLINE_VISIBILITY
1329typename enable_if<is_integral<_A1>::value, int>::type
1330ilogb(_A1 __lcpp_x) _NOEXCEPT {return ilogb((double)__lcpp_x);}
1331
1332// lgamma
1333
1334using ::lgamma;
1335using ::lgammaf;
1336
1337inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __lcpp_x) _NOEXCEPT       {return lgammaf(__lcpp_x);}
1338inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return lgammal(__lcpp_x);}
1339
1340
1341template <class _A1>
1342inline _LIBCPP_INLINE_VISIBILITY
1343typename enable_if<is_integral<_A1>::value, double>::type
1344lgamma(_A1 __lcpp_x) _NOEXCEPT {return lgamma((double)__lcpp_x);}
1345
1346
1347// llrint
1348
1349using ::llrint;
1350using ::llrintf;
1351
1352inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT       {return llrintf(__lcpp_x);}
1353inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return llrintl(__lcpp_x);}
1354
1355template <class _A1>
1356inline _LIBCPP_INLINE_VISIBILITY
1357typename enable_if<is_integral<_A1>::value, long long>::type
1358llrint(_A1 __lcpp_x) _NOEXCEPT {return llrint((double)__lcpp_x);}
1359
1360// llround
1361
1362using ::llround;
1363using ::llroundf;
1364
1365inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT       {return llroundf(__lcpp_x);}
1366inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return llroundl(__lcpp_x);}
1367
1368template <class _A1>
1369inline _LIBCPP_INLINE_VISIBILITY
1370typename enable_if<is_integral<_A1>::value, long long>::type
1371llround(_A1 __lcpp_x) _NOEXCEPT {return llround((double)__lcpp_x);}
1372
1373// log1p
1374
1375using ::log1p;
1376using ::log1pf;
1377
1378inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __lcpp_x) _NOEXCEPT       {return log1pf(__lcpp_x);}
1379inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return log1pl(__lcpp_x);}
1380
1381template <class _A1>
1382inline _LIBCPP_INLINE_VISIBILITY
1383typename enable_if<is_integral<_A1>::value, double>::type
1384log1p(_A1 __lcpp_x) _NOEXCEPT {return log1p((double)__lcpp_x);}
1385
1386// log2
1387
1388using ::log2;
1389using ::log2f;
1390
1391inline _LIBCPP_INLINE_VISIBILITY float       log2(float __lcpp_x) _NOEXCEPT       {return log2f(__lcpp_x);}
1392inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return log2l(__lcpp_x);}
1393
1394template <class _A1>
1395inline _LIBCPP_INLINE_VISIBILITY
1396typename enable_if<is_integral<_A1>::value, double>::type
1397log2(_A1 __lcpp_x) _NOEXCEPT {return log2((double)__lcpp_x);}
1398
1399// logb
1400
1401using ::logb;
1402using ::logbf;
1403
1404inline _LIBCPP_INLINE_VISIBILITY float       logb(float __lcpp_x) _NOEXCEPT       {return logbf(__lcpp_x);}
1405inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return logbl(__lcpp_x);}
1406
1407template <class _A1>
1408inline _LIBCPP_INLINE_VISIBILITY
1409typename enable_if<is_integral<_A1>::value, double>::type
1410logb(_A1 __lcpp_x) _NOEXCEPT {return logb((double)__lcpp_x);}
1411
1412// lrint
1413
1414using ::lrint;
1415using ::lrintf;
1416
1417inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT       {return lrintf(__lcpp_x);}
1418inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return lrintl(__lcpp_x);}
1419
1420template <class _A1>
1421inline _LIBCPP_INLINE_VISIBILITY
1422typename enable_if<is_integral<_A1>::value, long>::type
1423lrint(_A1 __lcpp_x) _NOEXCEPT {return lrint((double)__lcpp_x);}
1424
1425// lround
1426
1427using ::lround;
1428using ::lroundf;
1429
1430inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT       {return lroundf(__lcpp_x);}
1431inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return lroundl(__lcpp_x);}
1432
1433template <class _A1>
1434inline _LIBCPP_INLINE_VISIBILITY
1435typename enable_if<is_integral<_A1>::value, long>::type
1436lround(_A1 __lcpp_x) _NOEXCEPT {return lround((double)__lcpp_x);}
1437
1438#endif // _LIBCPP_MSVCRT
1439#endif // __sun__
1440
1441// nan
1442
1443#ifndef _LIBCPP_MSVCRT
1444using ::nan;
1445using ::nanf;
1446#endif // _LIBCPP_MSVCRT
1447
1448#ifndef __sun__
1449#ifndef _LIBCPP_MSVCRT
1450
1451// nearbyint
1452
1453using ::nearbyint;
1454using ::nearbyintf;
1455
1456inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __lcpp_x) _NOEXCEPT       {return nearbyintf(__lcpp_x);}
1457inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return nearbyintl(__lcpp_x);}
1458
1459template <class _A1>
1460inline _LIBCPP_INLINE_VISIBILITY
1461typename enable_if<is_integral<_A1>::value, double>::type
1462nearbyint(_A1 __lcpp_x) _NOEXCEPT {return nearbyint((double)__lcpp_x);}
1463
1464// nextafter
1465
1466using ::nextafter;
1467using ::nextafterf;
1468
1469inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return nextafterf(__lcpp_x, __lcpp_y);}
1470inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nextafterl(__lcpp_x, __lcpp_y);}
1471
1472template <class _A1, class _A2>
1473inline _LIBCPP_INLINE_VISIBILITY
1474typename __lazy_enable_if
1475<
1476    is_arithmetic<_A1>::value &&
1477    is_arithmetic<_A2>::value,
1478    __promote<_A1, _A2>
1479>::type
1480nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1481{
1482    typedef typename __promote<_A1, _A2>::type __result_type;
1483    static_assert((!(is_same<_A1, __result_type>::value &&
1484                      is_same<_A2, __result_type>::value)), "");
1485    return nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1486}
1487
1488// nexttoward
1489
1490using ::nexttoward;
1491using ::nexttowardf;
1492
1493inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT       {return nexttowardf(__lcpp_x, __lcpp_y);}
1494inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nexttowardl(__lcpp_x, __lcpp_y);}
1495
1496template <class _A1>
1497inline _LIBCPP_INLINE_VISIBILITY
1498typename enable_if<is_integral<_A1>::value, double>::type
1499nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return nexttoward((double)__lcpp_x, __lcpp_y);}
1500
1501// remainder
1502
1503using ::remainder;
1504using ::remainderf;
1505
1506inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return remainderf(__lcpp_x, __lcpp_y);}
1507inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return remainderl(__lcpp_x, __lcpp_y);}
1508
1509template <class _A1, class _A2>
1510inline _LIBCPP_INLINE_VISIBILITY
1511typename __lazy_enable_if
1512<
1513    is_arithmetic<_A1>::value &&
1514    is_arithmetic<_A2>::value,
1515    __promote<_A1, _A2>
1516>::type
1517remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1518{
1519    typedef typename __promote<_A1, _A2>::type __result_type;
1520    static_assert((!(is_same<_A1, __result_type>::value &&
1521                      is_same<_A2, __result_type>::value)), "");
1522    return remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1523}
1524
1525// remquo
1526
1527using ::remquo;
1528using ::remquof;
1529
1530inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT             {return remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
1531inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __lcpp_x, long double __lcpp_y, int* __lcpp_z) _NOEXCEPT {return remquol(__lcpp_x, __lcpp_y, __lcpp_z);}
1532
1533template <class _A1, class _A2>
1534inline _LIBCPP_INLINE_VISIBILITY
1535typename __lazy_enable_if
1536<
1537    is_arithmetic<_A1>::value &&
1538    is_arithmetic<_A2>::value,
1539    __promote<_A1, _A2>
1540>::type
1541remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
1542{
1543    typedef typename __promote<_A1, _A2>::type __result_type;
1544    static_assert((!(is_same<_A1, __result_type>::value &&
1545                      is_same<_A2, __result_type>::value)), "");
1546    return remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
1547}
1548
1549// rint
1550
1551using ::rint;
1552using ::rintf;
1553
1554inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT       {return rintf(__lcpp_x);}
1555inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return rintl(__lcpp_x);}
1556
1557template <class _A1>
1558inline _LIBCPP_INLINE_VISIBILITY
1559typename enable_if<is_integral<_A1>::value, double>::type
1560rint(_A1 __lcpp_x) _NOEXCEPT {return rint((double)__lcpp_x);}
1561
1562// round
1563
1564using ::round;
1565using ::roundf;
1566
1567inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT       {return roundf(__lcpp_x);}
1568inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return roundl(__lcpp_x);}
1569
1570template <class _A1>
1571inline _LIBCPP_INLINE_VISIBILITY
1572typename enable_if<is_integral<_A1>::value, double>::type
1573round(_A1 __lcpp_x) _NOEXCEPT {return round((double)__lcpp_x);}
1574
1575// scalbln
1576
1577using ::scalbln;
1578using ::scalblnf;
1579
1580inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT       {return scalblnf(__lcpp_x, __lcpp_y);}
1581inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return scalblnl(__lcpp_x, __lcpp_y);}
1582
1583template <class _A1>
1584inline _LIBCPP_INLINE_VISIBILITY
1585typename enable_if<is_integral<_A1>::value, double>::type
1586scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return scalbln((double)__lcpp_x, __lcpp_y);}
1587
1588// scalbn
1589
1590using ::scalbn;
1591using ::scalbnf;
1592
1593inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT       {return scalbnf(__lcpp_x, __lcpp_y);}
1594inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return scalbnl(__lcpp_x, __lcpp_y);}
1595
1596template <class _A1>
1597inline _LIBCPP_INLINE_VISIBILITY
1598typename enable_if<is_integral<_A1>::value, double>::type
1599scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return scalbn((double)__lcpp_x, __lcpp_y);}
1600
1601// tgamma
1602
1603using ::tgamma;
1604using ::tgammaf;
1605
1606inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __lcpp_x) _NOEXCEPT       {return tgammaf(__lcpp_x);}
1607inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return tgammal(__lcpp_x);}
1608
1609template <class _A1>
1610inline _LIBCPP_INLINE_VISIBILITY
1611typename enable_if<is_integral<_A1>::value, double>::type
1612tgamma(_A1 __lcpp_x) _NOEXCEPT {return tgamma((double)__lcpp_x);}
1613
1614// trunc
1615
1616using ::trunc;
1617using ::truncf;
1618
1619inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT       {return truncf(__lcpp_x);}
1620inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return truncl(__lcpp_x);}
1621
1622template <class _A1>
1623inline _LIBCPP_INLINE_VISIBILITY
1624typename enable_if<is_integral<_A1>::value, double>::type
1625trunc(_A1 __lcpp_x) _NOEXCEPT {return trunc((double)__lcpp_x);}
1626
1627#endif // !_LIBCPP_MSVCRT
1628
1629using ::acosl;
1630using ::asinl;
1631using ::atanl;
1632using ::atan2l;
1633using ::ceill;
1634using ::cosl;
1635using ::coshl;
1636using ::expl;
1637using ::fabsl;
1638using ::floorl;
1639using ::fmodl;
1640using ::frexpl;
1641using ::ldexpl;
1642using ::logl;
1643using ::log10l;
1644using ::modfl;
1645using ::powl;
1646using ::sinl;
1647using ::sinhl;
1648using ::sqrtl;
1649using ::tanl;
1650#ifndef _LIBCPP_MSVCRT
1651using ::tanhl;
1652using ::acoshl;
1653using ::asinhl;
1654using ::atanhl;
1655using ::cbrtl;
1656#endif  // !_LIBCPP_MSVCRT
1657using ::copysignl;
1658#ifndef _LIBCPP_MSVCRT
1659using ::erfl;
1660using ::erfcl;
1661using ::exp2l;
1662using ::expm1l;
1663using ::fdiml;
1664using ::fmal;
1665using ::fmaxl;
1666using ::fminl;
1667using ::hypotl;
1668using ::ilogbl;
1669using ::lgammal;
1670using ::llrintl;
1671using ::llroundl;
1672using ::log1pl;
1673using ::log2l;
1674using ::logbl;
1675using ::lrintl;
1676using ::lroundl;
1677using ::nanl;
1678using ::nearbyintl;
1679using ::nextafterl;
1680using ::nexttowardl;
1681using ::remainderl;
1682using ::remquol;
1683using ::rintl;
1684using ::roundl;
1685using ::scalblnl;
1686using ::scalbnl;
1687using ::tgammal;
1688using ::truncl;
1689#endif // !_LIBCPP_MSVCRT
1690
1691#else 
1692using ::lgamma;
1693using ::lgammaf;
1694#endif // __sun__
1695_LIBCPP_END_NAMESPACE_STD
1696
1697#endif  // _LIBCPP_CMATH
1698