mastodonpp  0.0.0
math.h
1 // -*- C++ -*-
2 //===---------------------------- math.h ----------------------------------===//
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_MATH_H
12 #define _LIBCPP_MATH_H
13 
14 /*
15  math.h synopsis
16 
17 Macros:
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 
38 Types:
39 
40  float_t // C99
41  double_t // C99
42 
43 // C90
44 
45 floating_point abs(floating_point x);
46 
47 floating_point acos (arithmetic x);
48 float acosf(float x);
49 long double acosl(long double x);
50 
51 floating_point asin (arithmetic x);
52 float asinf(float x);
53 long double asinl(long double x);
54 
55 floating_point atan (arithmetic x);
56 float atanf(float x);
57 long double atanl(long double x);
58 
59 floating_point atan2 (arithmetic y, arithmetic x);
60 float atan2f(float y, float x);
61 long double atan2l(long double y, long double x);
62 
63 floating_point ceil (arithmetic x);
64 float ceilf(float x);
65 long double ceill(long double x);
66 
67 floating_point cos (arithmetic x);
68 float cosf(float x);
69 long double cosl(long double x);
70 
71 floating_point cosh (arithmetic x);
72 float coshf(float x);
73 long double coshl(long double x);
74 
75 floating_point exp (arithmetic x);
76 float expf(float x);
77 long double expl(long double x);
78 
79 floating_point fabs (arithmetic x);
80 float fabsf(float x);
81 long double fabsl(long double x);
82 
83 floating_point floor (arithmetic x);
84 float floorf(float x);
85 long double floorl(long double x);
86 
87 floating_point fmod (arithmetic x, arithmetic y);
88 float fmodf(float x, float y);
89 long double fmodl(long double x, long double y);
90 
91 floating_point frexp (arithmetic value, int* exp);
92 float frexpf(float value, int* exp);
93 long double frexpl(long double value, int* exp);
94 
95 floating_point ldexp (arithmetic value, int exp);
96 float ldexpf(float value, int exp);
97 long double ldexpl(long double value, int exp);
98 
99 floating_point log (arithmetic x);
100 float logf(float x);
101 long double logl(long double x);
102 
103 floating_point log10 (arithmetic x);
104 float log10f(float x);
105 long double log10l(long double x);
106 
107 floating_point modf (floating_point value, floating_point* iptr);
108 float modff(float value, float* iptr);
109 long double modfl(long double value, long double* iptr);
110 
111 floating_point pow (arithmetic x, arithmetic y);
112 float powf(float x, float y);
113 long double powl(long double x, long double y);
114 
115 floating_point sin (arithmetic x);
116 float sinf(float x);
117 long double sinl(long double x);
118 
119 floating_point sinh (arithmetic x);
120 float sinhf(float x);
121 long double sinhl(long double x);
122 
123 floating_point sqrt (arithmetic x);
124 float sqrtf(float x);
125 long double sqrtl(long double x);
126 
127 floating_point tan (arithmetic x);
128 float tanf(float x);
129 long double tanl(long double x);
130 
131 floating_point tanh (arithmetic x);
132 float tanhf(float x);
133 long double tanhl(long double x);
134 
135 // C99
136 
137 bool signbit(arithmetic x);
138 
139 int fpclassify(arithmetic x);
140 
141 bool isfinite(arithmetic x);
142 bool isinf(arithmetic x);
143 bool isnan(arithmetic x);
144 bool isnormal(arithmetic x);
145 
146 bool isgreater(arithmetic x, arithmetic y);
147 bool isgreaterequal(arithmetic x, arithmetic y);
148 bool isless(arithmetic x, arithmetic y);
149 bool islessequal(arithmetic x, arithmetic y);
150 bool islessgreater(arithmetic x, arithmetic y);
151 bool isunordered(arithmetic x, arithmetic y);
152 
153 floating_point acosh (arithmetic x);
154 float acoshf(float x);
155 long double acoshl(long double x);
156 
157 floating_point asinh (arithmetic x);
158 float asinhf(float x);
159 long double asinhl(long double x);
160 
161 floating_point atanh (arithmetic x);
162 float atanhf(float x);
163 long double atanhl(long double x);
164 
165 floating_point cbrt (arithmetic x);
166 float cbrtf(float x);
167 long double cbrtl(long double x);
168 
169 floating_point copysign (arithmetic x, arithmetic y);
170 float copysignf(float x, float y);
171 long double copysignl(long double x, long double y);
172 
173 floating_point erf (arithmetic x);
174 float erff(float x);
175 long double erfl(long double x);
176 
177 floating_point erfc (arithmetic x);
178 float erfcf(float x);
179 long double erfcl(long double x);
180 
181 floating_point exp2 (arithmetic x);
182 float exp2f(float x);
183 long double exp2l(long double x);
184 
185 floating_point expm1 (arithmetic x);
186 float expm1f(float x);
187 long double expm1l(long double x);
188 
189 floating_point fdim (arithmetic x, arithmetic y);
190 float fdimf(float x, float y);
191 long double fdiml(long double x, long double y);
192 
193 floating_point fma (arithmetic x, arithmetic y, arithmetic z);
194 float fmaf(float x, float y, float z);
195 long double fmal(long double x, long double y, long double z);
196 
197 floating_point fmax (arithmetic x, arithmetic y);
198 float fmaxf(float x, float y);
199 long double fmaxl(long double x, long double y);
200 
201 floating_point fmin (arithmetic x, arithmetic y);
202 float fminf(float x, float y);
203 long double fminl(long double x, long double y);
204 
205 floating_point hypot (arithmetic x, arithmetic y);
206 float hypotf(float x, float y);
207 long double hypotl(long double x, long double y);
208 
209 int ilogb (arithmetic x);
210 int ilogbf(float x);
211 int ilogbl(long double x);
212 
213 floating_point lgamma (arithmetic x);
214 float lgammaf(float x);
215 long double lgammal(long double x);
216 
217 long long llrint (arithmetic x);
218 long long llrintf(float x);
219 long long llrintl(long double x);
220 
221 long long llround (arithmetic x);
222 long long llroundf(float x);
223 long long llroundl(long double x);
224 
225 floating_point log1p (arithmetic x);
226 float log1pf(float x);
227 long double log1pl(long double x);
228 
229 floating_point log2 (arithmetic x);
230 float log2f(float x);
231 long double log2l(long double x);
232 
233 floating_point logb (arithmetic x);
234 float logbf(float x);
235 long double logbl(long double x);
236 
237 long lrint (arithmetic x);
238 long lrintf(float x);
239 long lrintl(long double x);
240 
241 long lround (arithmetic x);
242 long lroundf(float x);
243 long lroundl(long double x);
244 
245 double nan (const char* str);
246 float nanf(const char* str);
247 long double nanl(const char* str);
248 
249 floating_point nearbyint (arithmetic x);
250 float nearbyintf(float x);
251 long double nearbyintl(long double x);
252 
253 floating_point nextafter (arithmetic x, arithmetic y);
254 float nextafterf(float x, float y);
255 long double nextafterl(long double x, long double y);
256 
257 floating_point nexttoward (arithmetic x, long double y);
258 float nexttowardf(float x, long double y);
259 long double nexttowardl(long double x, long double y);
260 
261 floating_point remainder (arithmetic x, arithmetic y);
262 float remainderf(float x, float y);
263 long double remainderl(long double x, long double y);
264 
265 floating_point remquo (arithmetic x, arithmetic y, int* pquo);
266 float remquof(float x, float y, int* pquo);
267 long double remquol(long double x, long double y, int* pquo);
268 
269 floating_point rint (arithmetic x);
270 float rintf(float x);
271 long double rintl(long double x);
272 
273 floating_point round (arithmetic x);
274 float roundf(float x);
275 long double roundl(long double x);
276 
277 floating_point scalbln (arithmetic x, long ex);
278 float scalblnf(float x, long ex);
279 long double scalblnl(long double x, long ex);
280 
281 floating_point scalbn (arithmetic x, int ex);
282 float scalbnf(float x, int ex);
283 long double scalbnl(long double x, int ex);
284 
285 floating_point tgamma (arithmetic x);
286 float tgammaf(float x);
287 long double tgammal(long double x);
288 
289 floating_point trunc (arithmetic x);
290 float truncf(float x);
291 long double truncl(long double x);
292 
293 */
294 
295 #include <__config>
296 
297 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
298 #pragma GCC system_header
299 #endif
300 
301 #include_next <math.h>
302 
303 #ifdef __cplusplus
304 
305 // We support including .h headers inside 'extern "C"' contexts, so switch
306 // back to C++ linkage before including these C++ headers.
307 extern "C++" {
308 
309 #include <type_traits>
310 #include <limits>
311 
312 // signbit
313 
314 #ifdef signbit
315 
316 template <class _A1>
317 _LIBCPP_INLINE_VISIBILITY
318 bool
319 __libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
320 {
321  return signbit(__lcpp_x);
322 }
323 
324 #undef signbit
325 
326 template <class _A1>
327 inline _LIBCPP_INLINE_VISIBILITY
328 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
329 signbit(_A1 __lcpp_x) _NOEXCEPT
330 {
331  return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
332 }
333 
334 template <class _A1>
335 inline _LIBCPP_INLINE_VISIBILITY
336 typename std::enable_if<
337  std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
338 signbit(_A1 __lcpp_x) _NOEXCEPT
339 { return __lcpp_x < 0; }
340 
341 template <class _A1>
342 inline _LIBCPP_INLINE_VISIBILITY
343 typename std::enable_if<
344  std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
345 signbit(_A1) _NOEXCEPT
346 { return false; }
347 
348 #elif defined(_LIBCPP_MSVCRT)
349 
350 template <typename _A1>
351 inline _LIBCPP_INLINE_VISIBILITY
352 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
353 signbit(_A1 __lcpp_x) _NOEXCEPT
354 {
355  return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
356 }
357 
358 template <class _A1>
359 inline _LIBCPP_INLINE_VISIBILITY
360 typename std::enable_if<
361  std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
362 signbit(_A1 __lcpp_x) _NOEXCEPT
363 { return __lcpp_x < 0; }
364 
365 template <class _A1>
366 inline _LIBCPP_INLINE_VISIBILITY
367 typename std::enable_if<
368  std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
369 signbit(_A1) _NOEXCEPT
370 { return false; }
371 
372 #endif // signbit
373 
374 // fpclassify
375 
376 #ifdef fpclassify
377 
378 template <class _A1>
379 _LIBCPP_INLINE_VISIBILITY
380 int
381 __libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
382 {
383  return fpclassify(__lcpp_x);
384 }
385 
386 #undef fpclassify
387 
388 template <class _A1>
389 inline _LIBCPP_INLINE_VISIBILITY
390 typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
391 fpclassify(_A1 __lcpp_x) _NOEXCEPT
392 {
393  return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
394 }
395 
396 template <class _A1>
397 inline _LIBCPP_INLINE_VISIBILITY
398 typename std::enable_if<std::is_integral<_A1>::value, int>::type
399 fpclassify(_A1 __lcpp_x) _NOEXCEPT
400 { return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
401 
402 #elif defined(_LIBCPP_MSVCRT)
403 
404 template <typename _A1>
405 inline _LIBCPP_INLINE_VISIBILITY
406 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
407 fpclassify(_A1 __lcpp_x) _NOEXCEPT
408 {
409  return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
410 }
411 
412 template <class _A1>
413 inline _LIBCPP_INLINE_VISIBILITY
414 typename std::enable_if<std::is_integral<_A1>::value, int>::type
415 fpclassify(_A1 __lcpp_x) _NOEXCEPT
416 { return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
417 
418 #endif // fpclassify
419 
420 // isfinite
421 
422 #ifdef isfinite
423 
424 template <class _A1>
425 _LIBCPP_INLINE_VISIBILITY
426 bool
427 __libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
428 {
429  return isfinite(__lcpp_x);
430 }
431 
432 #undef isfinite
433 
434 template <class _A1>
435 inline _LIBCPP_INLINE_VISIBILITY
436 typename std::enable_if<
437  std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
438  bool>::type
439 isfinite(_A1 __lcpp_x) _NOEXCEPT
440 {
441  return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
442 }
443 
444 template <class _A1>
445 inline _LIBCPP_INLINE_VISIBILITY
446 typename std::enable_if<
447  std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
448  bool>::type
449 isfinite(_A1) _NOEXCEPT
450 { return true; }
451 
452 #endif // isfinite
453 
454 // isinf
455 
456 #ifdef isinf
457 
458 template <class _A1>
459 _LIBCPP_INLINE_VISIBILITY
460 bool
461 __libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
462 {
463  return isinf(__lcpp_x);
464 }
465 
466 #undef isinf
467 
468 template <class _A1>
469 inline _LIBCPP_INLINE_VISIBILITY
470 typename std::enable_if<
471  std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
472  bool>::type
473 isinf(_A1 __lcpp_x) _NOEXCEPT
474 {
475  return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
476 }
477 
478 template <class _A1>
479 inline _LIBCPP_INLINE_VISIBILITY
480 typename std::enable_if<
481  std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
482  bool>::type
483 isinf(_A1) _NOEXCEPT
484 { return false; }
485 
486 #ifdef _LIBCPP_PREFERRED_OVERLOAD
487 inline _LIBCPP_INLINE_VISIBILITY
488 bool
489 isinf(float __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
490 
491 inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
492 bool
493 isinf(double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
494 
495 inline _LIBCPP_INLINE_VISIBILITY
496 bool
497 isinf(long double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
498 #endif
499 
500 #endif // isinf
501 
502 // isnan
503 
504 #ifdef isnan
505 
506 template <class _A1>
507 _LIBCPP_INLINE_VISIBILITY
508 bool
509 __libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
510 {
511  return isnan(__lcpp_x);
512 }
513 
514 #undef isnan
515 
516 template <class _A1>
517 inline _LIBCPP_INLINE_VISIBILITY
518 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
519 isnan(_A1 __lcpp_x) _NOEXCEPT
520 {
521  return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
522 }
523 
524 template <class _A1>
525 inline _LIBCPP_INLINE_VISIBILITY
526 typename std::enable_if<std::is_integral<_A1>::value, bool>::type
527 isnan(_A1) _NOEXCEPT
528 { return false; }
529 
530 #ifdef _LIBCPP_PREFERRED_OVERLOAD
531 inline _LIBCPP_INLINE_VISIBILITY
532 bool
533 isnan(float __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
534 
535 inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
536 bool
537 isnan(double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
538 
539 inline _LIBCPP_INLINE_VISIBILITY
540 bool
541 isnan(long double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
542 #endif
543 
544 #endif // isnan
545 
546 // isnormal
547 
548 #ifdef isnormal
549 
550 template <class _A1>
551 _LIBCPP_INLINE_VISIBILITY
552 bool
553 __libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
554 {
555  return isnormal(__lcpp_x);
556 }
557 
558 #undef isnormal
559 
560 template <class _A1>
561 inline _LIBCPP_INLINE_VISIBILITY
562 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
563 isnormal(_A1 __lcpp_x) _NOEXCEPT
564 {
565  return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
566 }
567 
568 template <class _A1>
569 inline _LIBCPP_INLINE_VISIBILITY
570 typename std::enable_if<std::is_integral<_A1>::value, bool>::type
571 isnormal(_A1 __lcpp_x) _NOEXCEPT
572 { return __lcpp_x != 0; }
573 
574 #endif // isnormal
575 
576 // isgreater
577 
578 #ifdef isgreater
579 
580 template <class _A1, class _A2>
581 _LIBCPP_INLINE_VISIBILITY
582 bool
583 __libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
584 {
585  return isgreater(__lcpp_x, __lcpp_y);
586 }
587 
588 #undef isgreater
589 
590 template <class _A1, class _A2>
591 inline _LIBCPP_INLINE_VISIBILITY
592 typename std::enable_if
593 <
594  std::is_arithmetic<_A1>::value &&
595  std::is_arithmetic<_A2>::value,
596  bool
597 >::type
598 isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
599 {
600  typedef typename std::__promote<_A1, _A2>::type type;
601  return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
602 }
603 
604 #endif // isgreater
605 
606 // isgreaterequal
607 
608 #ifdef isgreaterequal
609 
610 template <class _A1, class _A2>
611 _LIBCPP_INLINE_VISIBILITY
612 bool
613 __libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
614 {
615  return isgreaterequal(__lcpp_x, __lcpp_y);
616 }
617 
618 #undef isgreaterequal
619 
620 template <class _A1, class _A2>
621 inline _LIBCPP_INLINE_VISIBILITY
622 typename std::enable_if
623 <
624  std::is_arithmetic<_A1>::value &&
625  std::is_arithmetic<_A2>::value,
626  bool
627 >::type
628 isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
629 {
630  typedef typename std::__promote<_A1, _A2>::type type;
631  return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
632 }
633 
634 #endif // isgreaterequal
635 
636 // isless
637 
638 #ifdef isless
639 
640 template <class _A1, class _A2>
641 _LIBCPP_INLINE_VISIBILITY
642 bool
643 __libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
644 {
645  return isless(__lcpp_x, __lcpp_y);
646 }
647 
648 #undef isless
649 
650 template <class _A1, class _A2>
651 inline _LIBCPP_INLINE_VISIBILITY
652 typename std::enable_if
653 <
654  std::is_arithmetic<_A1>::value &&
655  std::is_arithmetic<_A2>::value,
656  bool
657 >::type
658 isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
659 {
660  typedef typename std::__promote<_A1, _A2>::type type;
661  return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
662 }
663 
664 #endif // isless
665 
666 // islessequal
667 
668 #ifdef islessequal
669 
670 template <class _A1, class _A2>
671 _LIBCPP_INLINE_VISIBILITY
672 bool
673 __libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
674 {
675  return islessequal(__lcpp_x, __lcpp_y);
676 }
677 
678 #undef islessequal
679 
680 template <class _A1, class _A2>
681 inline _LIBCPP_INLINE_VISIBILITY
682 typename std::enable_if
683 <
684  std::is_arithmetic<_A1>::value &&
685  std::is_arithmetic<_A2>::value,
686  bool
687 >::type
688 islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
689 {
690  typedef typename std::__promote<_A1, _A2>::type type;
691  return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
692 }
693 
694 #endif // islessequal
695 
696 // islessgreater
697 
698 #ifdef islessgreater
699 
700 template <class _A1, class _A2>
701 _LIBCPP_INLINE_VISIBILITY
702 bool
703 __libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
704 {
705  return islessgreater(__lcpp_x, __lcpp_y);
706 }
707 
708 #undef islessgreater
709 
710 template <class _A1, class _A2>
711 inline _LIBCPP_INLINE_VISIBILITY
712 typename std::enable_if
713 <
714  std::is_arithmetic<_A1>::value &&
715  std::is_arithmetic<_A2>::value,
716  bool
717 >::type
718 islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
719 {
720  typedef typename std::__promote<_A1, _A2>::type type;
721  return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
722 }
723 
724 #endif // islessgreater
725 
726 // isunordered
727 
728 #ifdef isunordered
729 
730 template <class _A1, class _A2>
731 _LIBCPP_INLINE_VISIBILITY
732 bool
733 __libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
734 {
735  return isunordered(__lcpp_x, __lcpp_y);
736 }
737 
738 #undef isunordered
739 
740 template <class _A1, class _A2>
741 inline _LIBCPP_INLINE_VISIBILITY
742 typename std::enable_if
743 <
744  std::is_arithmetic<_A1>::value &&
745  std::is_arithmetic<_A2>::value,
746  bool
747 >::type
748 isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
749 {
750  typedef typename std::__promote<_A1, _A2>::type type;
751  return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
752 }
753 
754 #endif // isunordered
755 
756 // abs
757 
758 #if !(defined(_AIX) || defined(__sun__))
759 inline _LIBCPP_INLINE_VISIBILITY
760 float
761 abs(float __lcpp_x) _NOEXCEPT {return ::fabsf(__lcpp_x);}
762 
763 inline _LIBCPP_INLINE_VISIBILITY
764 double
765 abs(double __lcpp_x) _NOEXCEPT {return ::fabs(__lcpp_x);}
766 
767 inline _LIBCPP_INLINE_VISIBILITY
768 long double
769 abs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
770 #endif // !(defined(_AIX) || defined(__sun__))
771 
772 // acos
773 
774 #if !(defined(_AIX) || defined(__sun__))
775 inline _LIBCPP_INLINE_VISIBILITY float acos(float __lcpp_x) _NOEXCEPT {return ::acosf(__lcpp_x);}
776 inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);}
777 #endif
778 
779 template <class _A1>
780 inline _LIBCPP_INLINE_VISIBILITY
781 typename std::enable_if<std::is_integral<_A1>::value, double>::type
782 acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);}
783 
784 // asin
785 
786 #if !(defined(_AIX) || defined(__sun__))
787 inline _LIBCPP_INLINE_VISIBILITY float asin(float __lcpp_x) _NOEXCEPT {return ::asinf(__lcpp_x);}
788 inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);}
789 #endif
790 
791 template <class _A1>
792 inline _LIBCPP_INLINE_VISIBILITY
793 typename std::enable_if<std::is_integral<_A1>::value, double>::type
794 asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);}
795 
796 // atan
797 
798 #if !(defined(_AIX) || defined(__sun__))
799 inline _LIBCPP_INLINE_VISIBILITY float atan(float __lcpp_x) _NOEXCEPT {return ::atanf(__lcpp_x);}
800 inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);}
801 #endif
802 
803 template <class _A1>
804 inline _LIBCPP_INLINE_VISIBILITY
805 typename std::enable_if<std::is_integral<_A1>::value, double>::type
806 atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);}
807 
808 // atan2
809 
810 #if !(defined(_AIX) || defined(__sun__))
811 inline _LIBCPP_INLINE_VISIBILITY float atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT {return ::atan2f(__lcpp_y, __lcpp_x);}
812 inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);}
813 #endif
814 
815 template <class _A1, class _A2>
816 inline _LIBCPP_INLINE_VISIBILITY
817 typename std::__lazy_enable_if
818 <
819  std::is_arithmetic<_A1>::value &&
820  std::is_arithmetic<_A2>::value,
821  std::__promote<_A1, _A2>
822 >::type
823 atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
824 {
825  typedef typename std::__promote<_A1, _A2>::type __result_type;
826  static_assert((!(std::is_same<_A1, __result_type>::value &&
827  std::is_same<_A2, __result_type>::value)), "");
828  return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
829 }
830 
831 // ceil
832 
833 #if !(defined(_AIX) || defined(__sun__))
834 inline _LIBCPP_INLINE_VISIBILITY float ceil(float __lcpp_x) _NOEXCEPT {return ::ceilf(__lcpp_x);}
835 inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);}
836 #endif
837 
838 template <class _A1>
839 inline _LIBCPP_INLINE_VISIBILITY
840 typename std::enable_if<std::is_integral<_A1>::value, double>::type
841 ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);}
842 
843 // cos
844 
845 #if !(defined(_AIX) || defined(__sun__))
846 inline _LIBCPP_INLINE_VISIBILITY float cos(float __lcpp_x) _NOEXCEPT {return ::cosf(__lcpp_x);}
847 inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);}
848 #endif
849 
850 template <class _A1>
851 inline _LIBCPP_INLINE_VISIBILITY
852 typename std::enable_if<std::is_integral<_A1>::value, double>::type
853 cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);}
854 
855 // cosh
856 
857 #if !(defined(_AIX) || defined(__sun__))
858 inline _LIBCPP_INLINE_VISIBILITY float cosh(float __lcpp_x) _NOEXCEPT {return ::coshf(__lcpp_x);}
859 inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);}
860 #endif
861 
862 template <class _A1>
863 inline _LIBCPP_INLINE_VISIBILITY
864 typename std::enable_if<std::is_integral<_A1>::value, double>::type
865 cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);}
866 
867 // exp
868 
869 #if !(defined(_AIX) || defined(__sun__))
870 inline _LIBCPP_INLINE_VISIBILITY float exp(float __lcpp_x) _NOEXCEPT {return ::expf(__lcpp_x);}
871 inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);}
872 #endif
873 
874 template <class _A1>
875 inline _LIBCPP_INLINE_VISIBILITY
876 typename std::enable_if<std::is_integral<_A1>::value, double>::type
877 exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);}
878 
879 // fabs
880 
881 #if !(defined(_AIX) || defined(__sun__))
882 inline _LIBCPP_INLINE_VISIBILITY float fabs(float __lcpp_x) _NOEXCEPT {return ::fabsf(__lcpp_x);}
883 inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
884 #endif
885 
886 template <class _A1>
887 inline _LIBCPP_INLINE_VISIBILITY
888 typename std::enable_if<std::is_integral<_A1>::value, double>::type
889 fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);}
890 
891 // floor
892 
893 #if !(defined(_AIX) || defined(__sun__))
894 inline _LIBCPP_INLINE_VISIBILITY float floor(float __lcpp_x) _NOEXCEPT {return ::floorf(__lcpp_x);}
895 inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);}
896 #endif
897 
898 template <class _A1>
899 inline _LIBCPP_INLINE_VISIBILITY
900 typename std::enable_if<std::is_integral<_A1>::value, double>::type
901 floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);}
902 
903 // fmod
904 
905 #if !(defined(_AIX) || defined(__sun__))
906 inline _LIBCPP_INLINE_VISIBILITY float fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fmodf(__lcpp_x, __lcpp_y);}
907 inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);}
908 #endif
909 
910 template <class _A1, class _A2>
911 inline _LIBCPP_INLINE_VISIBILITY
912 typename std::__lazy_enable_if
913 <
914  std::is_arithmetic<_A1>::value &&
915  std::is_arithmetic<_A2>::value,
916  std::__promote<_A1, _A2>
917 >::type
918 fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
919 {
920  typedef typename std::__promote<_A1, _A2>::type __result_type;
921  static_assert((!(std::is_same<_A1, __result_type>::value &&
922  std::is_same<_A2, __result_type>::value)), "");
923  return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
924 }
925 
926 // frexp
927 
928 #if !(defined(_AIX) || defined(__sun__))
929 inline _LIBCPP_INLINE_VISIBILITY float frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpf(__lcpp_x, __lcpp_e);}
930 inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);}
931 #endif
932 
933 template <class _A1>
934 inline _LIBCPP_INLINE_VISIBILITY
935 typename std::enable_if<std::is_integral<_A1>::value, double>::type
936 frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);}
937 
938 // ldexp
939 
940 #if !(defined(_AIX) || defined(__sun__))
941 inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpf(__lcpp_x, __lcpp_e);}
942 inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);}
943 #endif
944 
945 template <class _A1>
946 inline _LIBCPP_INLINE_VISIBILITY
947 typename std::enable_if<std::is_integral<_A1>::value, double>::type
948 ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);}
949 
950 // log
951 
952 #if !(defined(_AIX) || defined(__sun__))
953 inline _LIBCPP_INLINE_VISIBILITY float log(float __lcpp_x) _NOEXCEPT {return ::logf(__lcpp_x);}
954 inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);}
955 #endif
956 
957 template <class _A1>
958 inline _LIBCPP_INLINE_VISIBILITY
959 typename std::enable_if<std::is_integral<_A1>::value, double>::type
960 log(_A1 __lcpp_x) _NOEXCEPT {return ::log((double)__lcpp_x);}
961 
962 // log10
963 
964 #if !(defined(_AIX) || defined(__sun__))
965 inline _LIBCPP_INLINE_VISIBILITY float log10(float __lcpp_x) _NOEXCEPT {return ::log10f(__lcpp_x);}
966 inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return ::log10l(__lcpp_x);}
967 #endif
968 
969 template <class _A1>
970 inline _LIBCPP_INLINE_VISIBILITY
971 typename std::enable_if<std::is_integral<_A1>::value, double>::type
972 log10(_A1 __lcpp_x) _NOEXCEPT {return ::log10((double)__lcpp_x);}
973 
974 // modf
975 
976 #if !(defined(_AIX) || defined(__sun__))
977 inline _LIBCPP_INLINE_VISIBILITY float modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT {return ::modff(__lcpp_x, __lcpp_y);}
978 inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return ::modfl(__lcpp_x, __lcpp_y);}
979 #endif
980 
981 // pow
982 
983 #if !(defined(_AIX) || defined(__sun__))
984 inline _LIBCPP_INLINE_VISIBILITY float pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::powf(__lcpp_x, __lcpp_y);}
985 inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::powl(__lcpp_x, __lcpp_y);}
986 #endif
987 
988 template <class _A1, class _A2>
989 inline _LIBCPP_INLINE_VISIBILITY
990 typename std::__lazy_enable_if
991 <
992  std::is_arithmetic<_A1>::value &&
993  std::is_arithmetic<_A2>::value,
994  std::__promote<_A1, _A2>
995 >::type
996 pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
997 {
998  typedef typename std::__promote<_A1, _A2>::type __result_type;
999  static_assert((!(std::is_same<_A1, __result_type>::value &&
1000  std::is_same<_A2, __result_type>::value)), "");
1001  return ::pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1002 }
1003 
1004 // sin
1005 
1006 #if !(defined(_AIX) || defined(__sun__))
1007 inline _LIBCPP_INLINE_VISIBILITY float sin(float __lcpp_x) _NOEXCEPT {return ::sinf(__lcpp_x);}
1008 inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return ::sinl(__lcpp_x);}
1009 #endif
1010 
1011 template <class _A1>
1012 inline _LIBCPP_INLINE_VISIBILITY
1013 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1014 sin(_A1 __lcpp_x) _NOEXCEPT {return ::sin((double)__lcpp_x);}
1015 
1016 // sinh
1017 
1018 #if !(defined(_AIX) || defined(__sun__))
1019 inline _LIBCPP_INLINE_VISIBILITY float sinh(float __lcpp_x) _NOEXCEPT {return ::sinhf(__lcpp_x);}
1020 inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return ::sinhl(__lcpp_x);}
1021 #endif
1022 
1023 template <class _A1>
1024 inline _LIBCPP_INLINE_VISIBILITY
1025 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1026 sinh(_A1 __lcpp_x) _NOEXCEPT {return ::sinh((double)__lcpp_x);}
1027 
1028 // sqrt
1029 
1030 #if !(defined(_AIX) || defined(__sun__))
1031 inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __lcpp_x) _NOEXCEPT {return ::sqrtf(__lcpp_x);}
1032 inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return ::sqrtl(__lcpp_x);}
1033 #endif
1034 
1035 template <class _A1>
1036 inline _LIBCPP_INLINE_VISIBILITY
1037 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1038 sqrt(_A1 __lcpp_x) _NOEXCEPT {return ::sqrt((double)__lcpp_x);}
1039 
1040 // tan
1041 
1042 #if !(defined(_AIX) || defined(__sun__))
1043 inline _LIBCPP_INLINE_VISIBILITY float tan(float __lcpp_x) _NOEXCEPT {return ::tanf(__lcpp_x);}
1044 inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return ::tanl(__lcpp_x);}
1045 #endif
1046 
1047 template <class _A1>
1048 inline _LIBCPP_INLINE_VISIBILITY
1049 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1050 tan(_A1 __lcpp_x) _NOEXCEPT {return ::tan((double)__lcpp_x);}
1051 
1052 // tanh
1053 
1054 #if !(defined(_AIX) || defined(__sun__))
1055 inline _LIBCPP_INLINE_VISIBILITY float tanh(float __lcpp_x) _NOEXCEPT {return ::tanhf(__lcpp_x);}
1056 inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return ::tanhl(__lcpp_x);}
1057 #endif
1058 
1059 template <class _A1>
1060 inline _LIBCPP_INLINE_VISIBILITY
1061 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1062 tanh(_A1 __lcpp_x) _NOEXCEPT {return ::tanh((double)__lcpp_x);}
1063 
1064 // acosh
1065 
1066 inline _LIBCPP_INLINE_VISIBILITY float acosh(float __lcpp_x) _NOEXCEPT {return ::acoshf(__lcpp_x);}
1067 inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return ::acoshl(__lcpp_x);}
1068 
1069 template <class _A1>
1070 inline _LIBCPP_INLINE_VISIBILITY
1071 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1072 acosh(_A1 __lcpp_x) _NOEXCEPT {return ::acosh((double)__lcpp_x);}
1073 
1074 // asinh
1075 
1076 inline _LIBCPP_INLINE_VISIBILITY float asinh(float __lcpp_x) _NOEXCEPT {return ::asinhf(__lcpp_x);}
1077 inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return ::asinhl(__lcpp_x);}
1078 
1079 template <class _A1>
1080 inline _LIBCPP_INLINE_VISIBILITY
1081 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1082 asinh(_A1 __lcpp_x) _NOEXCEPT {return ::asinh((double)__lcpp_x);}
1083 
1084 // atanh
1085 
1086 inline _LIBCPP_INLINE_VISIBILITY float atanh(float __lcpp_x) _NOEXCEPT {return ::atanhf(__lcpp_x);}
1087 inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return ::atanhl(__lcpp_x);}
1088 
1089 template <class _A1>
1090 inline _LIBCPP_INLINE_VISIBILITY
1091 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1092 atanh(_A1 __lcpp_x) _NOEXCEPT {return ::atanh((double)__lcpp_x);}
1093 
1094 // cbrt
1095 
1096 inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __lcpp_x) _NOEXCEPT {return ::cbrtf(__lcpp_x);}
1097 inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return ::cbrtl(__lcpp_x);}
1098 
1099 template <class _A1>
1100 inline _LIBCPP_INLINE_VISIBILITY
1101 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1102 cbrt(_A1 __lcpp_x) _NOEXCEPT {return ::cbrt((double)__lcpp_x);}
1103 
1104 // copysign
1105 
1106 inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
1107  float __lcpp_y) _NOEXCEPT {
1108  return ::copysignf(__lcpp_x, __lcpp_y);
1109 }
1110 inline _LIBCPP_INLINE_VISIBILITY long double
1111 copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
1112  return ::copysignl(__lcpp_x, __lcpp_y);
1113 }
1114 
1115 template <class _A1, class _A2>
1116 inline _LIBCPP_INLINE_VISIBILITY
1117 typename std::__lazy_enable_if
1118 <
1119  std::is_arithmetic<_A1>::value &&
1120  std::is_arithmetic<_A2>::value,
1121  std::__promote<_A1, _A2>
1122 >::type
1123 copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1124 {
1125  typedef typename std::__promote<_A1, _A2>::type __result_type;
1126  static_assert((!(std::is_same<_A1, __result_type>::value &&
1127  std::is_same<_A2, __result_type>::value)), "");
1128  return ::copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1129 }
1130 
1131 // erf
1132 
1133 inline _LIBCPP_INLINE_VISIBILITY float erf(float __lcpp_x) _NOEXCEPT {return ::erff(__lcpp_x);}
1134 inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return ::erfl(__lcpp_x);}
1135 
1136 template <class _A1>
1137 inline _LIBCPP_INLINE_VISIBILITY
1138 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1139 erf(_A1 __lcpp_x) _NOEXCEPT {return ::erf((double)__lcpp_x);}
1140 
1141 // erfc
1142 
1143 inline _LIBCPP_INLINE_VISIBILITY float erfc(float __lcpp_x) _NOEXCEPT {return ::erfcf(__lcpp_x);}
1144 inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return ::erfcl(__lcpp_x);}
1145 
1146 template <class _A1>
1147 inline _LIBCPP_INLINE_VISIBILITY
1148 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1149 erfc(_A1 __lcpp_x) _NOEXCEPT {return ::erfc((double)__lcpp_x);}
1150 
1151 // exp2
1152 
1153 inline _LIBCPP_INLINE_VISIBILITY float exp2(float __lcpp_x) _NOEXCEPT {return ::exp2f(__lcpp_x);}
1154 inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return ::exp2l(__lcpp_x);}
1155 
1156 template <class _A1>
1157 inline _LIBCPP_INLINE_VISIBILITY
1158 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1159 exp2(_A1 __lcpp_x) _NOEXCEPT {return ::exp2((double)__lcpp_x);}
1160 
1161 // expm1
1162 
1163 inline _LIBCPP_INLINE_VISIBILITY float expm1(float __lcpp_x) _NOEXCEPT {return ::expm1f(__lcpp_x);}
1164 inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return ::expm1l(__lcpp_x);}
1165 
1166 template <class _A1>
1167 inline _LIBCPP_INLINE_VISIBILITY
1168 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1169 expm1(_A1 __lcpp_x) _NOEXCEPT {return ::expm1((double)__lcpp_x);}
1170 
1171 // fdim
1172 
1173 inline _LIBCPP_INLINE_VISIBILITY float fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fdimf(__lcpp_x, __lcpp_y);}
1174 inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fdiml(__lcpp_x, __lcpp_y);}
1175 
1176 template <class _A1, class _A2>
1177 inline _LIBCPP_INLINE_VISIBILITY
1178 typename std::__lazy_enable_if
1179 <
1180  std::is_arithmetic<_A1>::value &&
1181  std::is_arithmetic<_A2>::value,
1182  std::__promote<_A1, _A2>
1183 >::type
1184 fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1185 {
1186  typedef typename std::__promote<_A1, _A2>::type __result_type;
1187  static_assert((!(std::is_same<_A1, __result_type>::value &&
1188  std::is_same<_A2, __result_type>::value)), "");
1189  return ::fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1190 }
1191 
1192 // fma
1193 
1194 inline _LIBCPP_INLINE_VISIBILITY float fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT {return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
1195 inline _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);}
1196 
1197 template <class _A1, class _A2, class _A3>
1198 inline _LIBCPP_INLINE_VISIBILITY
1199 typename std::__lazy_enable_if
1200 <
1201  std::is_arithmetic<_A1>::value &&
1202  std::is_arithmetic<_A2>::value &&
1203  std::is_arithmetic<_A3>::value,
1204  std::__promote<_A1, _A2, _A3>
1205 >::type
1206 fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
1207 {
1208  typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
1209  static_assert((!(std::is_same<_A1, __result_type>::value &&
1210  std::is_same<_A2, __result_type>::value &&
1211  std::is_same<_A3, __result_type>::value)), "");
1212  return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
1213 }
1214 
1215 // fmax
1216 
1217 inline _LIBCPP_INLINE_VISIBILITY float fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fmaxf(__lcpp_x, __lcpp_y);}
1218 inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmaxl(__lcpp_x, __lcpp_y);}
1219 
1220 template <class _A1, class _A2>
1221 inline _LIBCPP_INLINE_VISIBILITY
1222 typename std::__lazy_enable_if
1223 <
1224  std::is_arithmetic<_A1>::value &&
1225  std::is_arithmetic<_A2>::value,
1226  std::__promote<_A1, _A2>
1227 >::type
1228 fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1229 {
1230  typedef typename std::__promote<_A1, _A2>::type __result_type;
1231  static_assert((!(std::is_same<_A1, __result_type>::value &&
1232  std::is_same<_A2, __result_type>::value)), "");
1233  return ::fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1234 }
1235 
1236 // fmin
1237 
1238 inline _LIBCPP_INLINE_VISIBILITY float fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::fminf(__lcpp_x, __lcpp_y);}
1239 inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fminl(__lcpp_x, __lcpp_y);}
1240 
1241 template <class _A1, class _A2>
1242 inline _LIBCPP_INLINE_VISIBILITY
1243 typename std::__lazy_enable_if
1244 <
1245  std::is_arithmetic<_A1>::value &&
1246  std::is_arithmetic<_A2>::value,
1247  std::__promote<_A1, _A2>
1248 >::type
1249 fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1250 {
1251  typedef typename std::__promote<_A1, _A2>::type __result_type;
1252  static_assert((!(std::is_same<_A1, __result_type>::value &&
1253  std::is_same<_A2, __result_type>::value)), "");
1254  return ::fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1255 }
1256 
1257 // hypot
1258 
1259 inline _LIBCPP_INLINE_VISIBILITY float hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::hypotf(__lcpp_x, __lcpp_y);}
1260 inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::hypotl(__lcpp_x, __lcpp_y);}
1261 
1262 template <class _A1, class _A2>
1263 inline _LIBCPP_INLINE_VISIBILITY
1264 typename std::__lazy_enable_if
1265 <
1266  std::is_arithmetic<_A1>::value &&
1267  std::is_arithmetic<_A2>::value,
1268  std::__promote<_A1, _A2>
1269 >::type
1270 hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1271 {
1272  typedef typename std::__promote<_A1, _A2>::type __result_type;
1273  static_assert((!(std::is_same<_A1, __result_type>::value &&
1274  std::is_same<_A2, __result_type>::value)), "");
1275  return ::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1276 }
1277 
1278 // ilogb
1279 
1280 inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT {return ::ilogbf(__lcpp_x);}
1281 inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ::ilogbl(__lcpp_x);}
1282 
1283 template <class _A1>
1284 inline _LIBCPP_INLINE_VISIBILITY
1285 typename std::enable_if<std::is_integral<_A1>::value, int>::type
1286 ilogb(_A1 __lcpp_x) _NOEXCEPT {return ::ilogb((double)__lcpp_x);}
1287 
1288 // lgamma
1289 
1290 inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __lcpp_x) _NOEXCEPT {return ::lgammaf(__lcpp_x);}
1291 inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return ::lgammal(__lcpp_x);}
1292 
1293 template <class _A1>
1294 inline _LIBCPP_INLINE_VISIBILITY
1295 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1296 lgamma(_A1 __lcpp_x) _NOEXCEPT {return ::lgamma((double)__lcpp_x);}
1297 
1298 // llrint
1299 
1300 inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT {return ::llrintf(__lcpp_x);}
1301 inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return ::llrintl(__lcpp_x);}
1302 
1303 template <class _A1>
1304 inline _LIBCPP_INLINE_VISIBILITY
1305 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
1306 llrint(_A1 __lcpp_x) _NOEXCEPT {return ::llrint((double)__lcpp_x);}
1307 
1308 // llround
1309 
1310 inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT {return ::llroundf(__lcpp_x);}
1311 inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return ::llroundl(__lcpp_x);}
1312 
1313 template <class _A1>
1314 inline _LIBCPP_INLINE_VISIBILITY
1315 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
1316 llround(_A1 __lcpp_x) _NOEXCEPT {return ::llround((double)__lcpp_x);}
1317 
1318 // log1p
1319 
1320 inline _LIBCPP_INLINE_VISIBILITY float log1p(float __lcpp_x) _NOEXCEPT {return ::log1pf(__lcpp_x);}
1321 inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return ::log1pl(__lcpp_x);}
1322 
1323 template <class _A1>
1324 inline _LIBCPP_INLINE_VISIBILITY
1325 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1326 log1p(_A1 __lcpp_x) _NOEXCEPT {return ::log1p((double)__lcpp_x);}
1327 
1328 // log2
1329 
1330 inline _LIBCPP_INLINE_VISIBILITY float log2(float __lcpp_x) _NOEXCEPT {return ::log2f(__lcpp_x);}
1331 inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return ::log2l(__lcpp_x);}
1332 
1333 template <class _A1>
1334 inline _LIBCPP_INLINE_VISIBILITY
1335 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1336 log2(_A1 __lcpp_x) _NOEXCEPT {return ::log2((double)__lcpp_x);}
1337 
1338 // logb
1339 
1340 inline _LIBCPP_INLINE_VISIBILITY float logb(float __lcpp_x) _NOEXCEPT {return ::logbf(__lcpp_x);}
1341 inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return ::logbl(__lcpp_x);}
1342 
1343 template <class _A1>
1344 inline _LIBCPP_INLINE_VISIBILITY
1345 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1346 logb(_A1 __lcpp_x) _NOEXCEPT {return ::logb((double)__lcpp_x);}
1347 
1348 // lrint
1349 
1350 inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT {return ::lrintf(__lcpp_x);}
1351 inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return ::lrintl(__lcpp_x);}
1352 
1353 template <class _A1>
1354 inline _LIBCPP_INLINE_VISIBILITY
1355 typename std::enable_if<std::is_integral<_A1>::value, long>::type
1356 lrint(_A1 __lcpp_x) _NOEXCEPT {return ::lrint((double)__lcpp_x);}
1357 
1358 // lround
1359 
1360 inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT {return ::lroundf(__lcpp_x);}
1361 inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return ::lroundl(__lcpp_x);}
1362 
1363 template <class _A1>
1364 inline _LIBCPP_INLINE_VISIBILITY
1365 typename std::enable_if<std::is_integral<_A1>::value, long>::type
1366 lround(_A1 __lcpp_x) _NOEXCEPT {return ::lround((double)__lcpp_x);}
1367 
1368 // nan
1369 
1370 // nearbyint
1371 
1372 inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __lcpp_x) _NOEXCEPT {return ::nearbyintf(__lcpp_x);}
1373 inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return ::nearbyintl(__lcpp_x);}
1374 
1375 template <class _A1>
1376 inline _LIBCPP_INLINE_VISIBILITY
1377 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1378 nearbyint(_A1 __lcpp_x) _NOEXCEPT {return ::nearbyint((double)__lcpp_x);}
1379 
1380 // nextafter
1381 
1382 inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::nextafterf(__lcpp_x, __lcpp_y);}
1383 inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nextafterl(__lcpp_x, __lcpp_y);}
1384 
1385 template <class _A1, class _A2>
1386 inline _LIBCPP_INLINE_VISIBILITY
1387 typename std::__lazy_enable_if
1388 <
1389  std::is_arithmetic<_A1>::value &&
1390  std::is_arithmetic<_A2>::value,
1391  std::__promote<_A1, _A2>
1392 >::type
1393 nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1394 {
1395  typedef typename std::__promote<_A1, _A2>::type __result_type;
1396  static_assert((!(std::is_same<_A1, __result_type>::value &&
1397  std::is_same<_A2, __result_type>::value)), "");
1398  return ::nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1399 }
1400 
1401 // nexttoward
1402 
1403 inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardf(__lcpp_x, __lcpp_y);}
1404 inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardl(__lcpp_x, __lcpp_y);}
1405 
1406 template <class _A1>
1407 inline _LIBCPP_INLINE_VISIBILITY
1408 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1409 nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttoward((double)__lcpp_x, __lcpp_y);}
1410 
1411 // remainder
1412 
1413 inline _LIBCPP_INLINE_VISIBILITY float remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT {return ::remainderf(__lcpp_x, __lcpp_y);}
1414 inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::remainderl(__lcpp_x, __lcpp_y);}
1415 
1416 template <class _A1, class _A2>
1417 inline _LIBCPP_INLINE_VISIBILITY
1418 typename std::__lazy_enable_if
1419 <
1420  std::is_arithmetic<_A1>::value &&
1421  std::is_arithmetic<_A2>::value,
1422  std::__promote<_A1, _A2>
1423 >::type
1424 remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1425 {
1426  typedef typename std::__promote<_A1, _A2>::type __result_type;
1427  static_assert((!(std::is_same<_A1, __result_type>::value &&
1428  std::is_same<_A2, __result_type>::value)), "");
1429  return ::remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1430 }
1431 
1432 // remquo
1433 
1434 inline _LIBCPP_INLINE_VISIBILITY float remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT {return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
1435 inline _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);}
1436 
1437 template <class _A1, class _A2>
1438 inline _LIBCPP_INLINE_VISIBILITY
1439 typename std::__lazy_enable_if
1440 <
1441  std::is_arithmetic<_A1>::value &&
1442  std::is_arithmetic<_A2>::value,
1443  std::__promote<_A1, _A2>
1444 >::type
1445 remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
1446 {
1447  typedef typename std::__promote<_A1, _A2>::type __result_type;
1448  static_assert((!(std::is_same<_A1, __result_type>::value &&
1449  std::is_same<_A2, __result_type>::value)), "");
1450  return ::remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
1451 }
1452 
1453 // rint
1454 
1455 inline _LIBCPP_INLINE_VISIBILITY float rint(float __lcpp_x) _NOEXCEPT {return ::rintf(__lcpp_x);}
1456 inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return ::rintl(__lcpp_x);}
1457 
1458 template <class _A1>
1459 inline _LIBCPP_INLINE_VISIBILITY
1460 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1461 rint(_A1 __lcpp_x) _NOEXCEPT {return ::rint((double)__lcpp_x);}
1462 
1463 // round
1464 
1465 inline _LIBCPP_INLINE_VISIBILITY float round(float __lcpp_x) _NOEXCEPT {return ::roundf(__lcpp_x);}
1466 inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return ::roundl(__lcpp_x);}
1467 
1468 template <class _A1>
1469 inline _LIBCPP_INLINE_VISIBILITY
1470 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1471 round(_A1 __lcpp_x) _NOEXCEPT {return ::round((double)__lcpp_x);}
1472 
1473 // scalbln
1474 
1475 inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnf(__lcpp_x, __lcpp_y);}
1476 inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnl(__lcpp_x, __lcpp_y);}
1477 
1478 template <class _A1>
1479 inline _LIBCPP_INLINE_VISIBILITY
1480 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1481 scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalbln((double)__lcpp_x, __lcpp_y);}
1482 
1483 // scalbn
1484 
1485 inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnf(__lcpp_x, __lcpp_y);}
1486 inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnl(__lcpp_x, __lcpp_y);}
1487 
1488 template <class _A1>
1489 inline _LIBCPP_INLINE_VISIBILITY
1490 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1491 scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbn((double)__lcpp_x, __lcpp_y);}
1492 
1493 // tgamma
1494 
1495 inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __lcpp_x) _NOEXCEPT {return ::tgammaf(__lcpp_x);}
1496 inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return ::tgammal(__lcpp_x);}
1497 
1498 template <class _A1>
1499 inline _LIBCPP_INLINE_VISIBILITY
1500 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1501 tgamma(_A1 __lcpp_x) _NOEXCEPT {return ::tgamma((double)__lcpp_x);}
1502 
1503 // trunc
1504 
1505 inline _LIBCPP_INLINE_VISIBILITY float trunc(float __lcpp_x) _NOEXCEPT {return ::truncf(__lcpp_x);}
1506 inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return ::truncl(__lcpp_x);}
1507 
1508 template <class _A1>
1509 inline _LIBCPP_INLINE_VISIBILITY
1510 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1511 trunc(_A1 __lcpp_x) _NOEXCEPT {return ::trunc((double)__lcpp_x);}
1512 
1513 } // extern "C++"
1514 
1515 #endif // __cplusplus
1516 
1517 #else // _LIBCPP_MATH_H
1518 
1519 // This include lives outside the header guard in order to support an MSVC
1520 // extension which allows users to do:
1521 //
1522 // #define _USE_MATH_DEFINES
1523 // #include <math.h>
1524 //
1525 // and receive the definitions of mathematical constants, even if <math.h>
1526 // has previously been included.
1527 #if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES)
1528 #include_next <math.h>
1529 #endif
1530 
1531 #endif // _LIBCPP_MATH_H
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