xref: /freebsd/contrib/llvm-project/libcxx/include/math.h (revision 162ae9c834f6d9f9cb443bd62cceb23e0b5fef48) 
1 // -*- C++ -*-
2 //===---------------------------- math.h ----------------------------------===//
3 //
4 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
5 // See https://llvm.org/LICENSE.txt for license information.
6 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
7 //
8 //===----------------------------------------------------------------------===//
9 
10 #ifndef _LIBCPP_MATH_H
11 #define _LIBCPP_MATH_H
12 
13 /*
14     math.h synopsis
15 
16 Macros:
17 
18     HUGE_VAL
19     HUGE_VALF               // C99
20     HUGE_VALL               // C99
21     INFINITY                // C99
22     NAN                     // C99
23     FP_INFINITE             // C99
24     FP_NAN                  // C99
25     FP_NORMAL               // C99
26     FP_SUBNORMAL            // C99
27     FP_ZERO                 // C99
28     FP_FAST_FMA             // C99
29     FP_FAST_FMAF            // C99
30     FP_FAST_FMAL            // C99
31     FP_ILOGB0               // C99
32     FP_ILOGBNAN             // C99
33     MATH_ERRNO              // C99
34     MATH_ERREXCEPT          // C99
35     math_errhandling        // C99
36 
37 Types:
38 
39     float_t                 // C99
40     double_t                // C99
41 
42 // C90
43 
44 floating_point abs(floating_point x);
45 
46 floating_point acos (arithmetic x);
47 float          acosf(float x);
48 long double    acosl(long double x);
49 
50 floating_point asin (arithmetic x);
51 float          asinf(float x);
52 long double    asinl(long double x);
53 
54 floating_point atan (arithmetic x);
55 float          atanf(float x);
56 long double    atanl(long double x);
57 
58 floating_point atan2 (arithmetic y, arithmetic x);
59 float          atan2f(float y, float x);
60 long double    atan2l(long double y, long double x);
61 
62 floating_point ceil (arithmetic x);
63 float          ceilf(float x);
64 long double    ceill(long double x);
65 
66 floating_point cos (arithmetic x);
67 float          cosf(float x);
68 long double    cosl(long double x);
69 
70 floating_point cosh (arithmetic x);
71 float          coshf(float x);
72 long double    coshl(long double x);
73 
74 floating_point exp (arithmetic x);
75 float          expf(float x);
76 long double    expl(long double x);
77 
78 floating_point fabs (arithmetic x);
79 float          fabsf(float x);
80 long double    fabsl(long double x);
81 
82 floating_point floor (arithmetic x);
83 float          floorf(float x);
84 long double    floorl(long double x);
85 
86 floating_point fmod (arithmetic x, arithmetic y);
87 float          fmodf(float x, float y);
88 long double    fmodl(long double x, long double y);
89 
90 floating_point frexp (arithmetic value, int* exp);
91 float          frexpf(float value, int* exp);
92 long double    frexpl(long double value, int* exp);
93 
94 floating_point ldexp (arithmetic value, int exp);
95 float          ldexpf(float value, int exp);
96 long double    ldexpl(long double value, int exp);
97 
98 floating_point log (arithmetic x);
99 float          logf(float x);
100 long double    logl(long double x);
101 
102 floating_point log10 (arithmetic x);
103 float          log10f(float x);
104 long double    log10l(long double x);
105 
106 floating_point modf (floating_point value, floating_point* iptr);
107 float          modff(float value, float* iptr);
108 long double    modfl(long double value, long double* iptr);
109 
110 floating_point pow (arithmetic x, arithmetic y);
111 float          powf(float x, float y);
112 long double    powl(long double x, long double y);
113 
114 floating_point sin (arithmetic x);
115 float          sinf(float x);
116 long double    sinl(long double x);
117 
118 floating_point sinh (arithmetic x);
119 float          sinhf(float x);
120 long double    sinhl(long double x);
121 
122 floating_point sqrt (arithmetic x);
123 float          sqrtf(float x);
124 long double    sqrtl(long double x);
125 
126 floating_point tan (arithmetic x);
127 float          tanf(float x);
128 long double    tanl(long double x);
129 
130 floating_point tanh (arithmetic x);
131 float          tanhf(float x);
132 long double    tanhl(long double x);
133 
134 //  C99
135 
136 bool signbit(arithmetic x);
137 
138 int fpclassify(arithmetic x);
139 
140 bool isfinite(arithmetic x);
141 bool isinf(arithmetic x);
142 bool isnan(arithmetic x);
143 bool isnormal(arithmetic x);
144 
145 bool isgreater(arithmetic x, arithmetic y);
146 bool isgreaterequal(arithmetic x, arithmetic y);
147 bool isless(arithmetic x, arithmetic y);
148 bool islessequal(arithmetic x, arithmetic y);
149 bool islessgreater(arithmetic x, arithmetic y);
150 bool isunordered(arithmetic x, arithmetic y);
151 
152 floating_point acosh (arithmetic x);
153 float          acoshf(float x);
154 long double    acoshl(long double x);
155 
156 floating_point asinh (arithmetic x);
157 float          asinhf(float x);
158 long double    asinhl(long double x);
159 
160 floating_point atanh (arithmetic x);
161 float          atanhf(float x);
162 long double    atanhl(long double x);
163 
164 floating_point cbrt (arithmetic x);
165 float          cbrtf(float x);
166 long double    cbrtl(long double x);
167 
168 floating_point copysign (arithmetic x, arithmetic y);
169 float          copysignf(float x, float y);
170 long double    copysignl(long double x, long double y);
171 
172 floating_point erf (arithmetic x);
173 float          erff(float x);
174 long double    erfl(long double x);
175 
176 floating_point erfc (arithmetic x);
177 float          erfcf(float x);
178 long double    erfcl(long double x);
179 
180 floating_point exp2 (arithmetic x);
181 float          exp2f(float x);
182 long double    exp2l(long double x);
183 
184 floating_point expm1 (arithmetic x);
185 float          expm1f(float x);
186 long double    expm1l(long double x);
187 
188 floating_point fdim (arithmetic x, arithmetic y);
189 float          fdimf(float x, float y);
190 long double    fdiml(long double x, long double y);
191 
192 floating_point fma (arithmetic x, arithmetic y, arithmetic z);
193 float          fmaf(float x, float y, float z);
194 long double    fmal(long double x, long double y, long double z);
195 
196 floating_point fmax (arithmetic x, arithmetic y);
197 float          fmaxf(float x, float y);
198 long double    fmaxl(long double x, long double y);
199 
200 floating_point fmin (arithmetic x, arithmetic y);
201 float          fminf(float x, float y);
202 long double    fminl(long double x, long double y);
203 
204 floating_point hypot (arithmetic x, arithmetic y);
205 float          hypotf(float x, float y);
206 long double    hypotl(long double x, long double y);
207 
208 int ilogb (arithmetic x);
209 int ilogbf(float x);
210 int ilogbl(long double x);
211 
212 floating_point lgamma (arithmetic x);
213 float          lgammaf(float x);
214 long double    lgammal(long double x);
215 
216 long long llrint (arithmetic x);
217 long long llrintf(float x);
218 long long llrintl(long double x);
219 
220 long long llround (arithmetic x);
221 long long llroundf(float x);
222 long long llroundl(long double x);
223 
224 floating_point log1p (arithmetic x);
225 float          log1pf(float x);
226 long double    log1pl(long double x);
227 
228 floating_point log2 (arithmetic x);
229 float          log2f(float x);
230 long double    log2l(long double x);
231 
232 floating_point logb (arithmetic x);
233 float          logbf(float x);
234 long double    logbl(long double x);
235 
236 long lrint (arithmetic x);
237 long lrintf(float x);
238 long lrintl(long double x);
239 
240 long lround (arithmetic x);
241 long lroundf(float x);
242 long lroundl(long double x);
243 
244 double      nan (const char* str);
245 float       nanf(const char* str);
246 long double nanl(const char* str);
247 
248 floating_point nearbyint (arithmetic x);
249 float          nearbyintf(float x);
250 long double    nearbyintl(long double x);
251 
252 floating_point nextafter (arithmetic x, arithmetic y);
253 float          nextafterf(float x, float y);
254 long double    nextafterl(long double x, long double y);
255 
256 floating_point nexttoward (arithmetic x, long double y);
257 float          nexttowardf(float x, long double y);
258 long double    nexttowardl(long double x, long double y);
259 
260 floating_point remainder (arithmetic x, arithmetic y);
261 float          remainderf(float x, float y);
262 long double    remainderl(long double x, long double y);
263 
264 floating_point remquo (arithmetic x, arithmetic y, int* pquo);
265 float          remquof(float x, float y, int* pquo);
266 long double    remquol(long double x, long double y, int* pquo);
267 
268 floating_point rint (arithmetic x);
269 float          rintf(float x);
270 long double    rintl(long double x);
271 
272 floating_point round (arithmetic x);
273 float          roundf(float x);
274 long double    roundl(long double x);
275 
276 floating_point scalbln (arithmetic x, long ex);
277 float          scalblnf(float x, long ex);
278 long double    scalblnl(long double x, long ex);
279 
280 floating_point scalbn (arithmetic x, int ex);
281 float          scalbnf(float x, int ex);
282 long double    scalbnl(long double x, int ex);
283 
284 floating_point tgamma (arithmetic x);
285 float          tgammaf(float x);
286 long double    tgammal(long double x);
287 
288 floating_point trunc (arithmetic x);
289 float          truncf(float x);
290 long double    truncl(long double x);
291 
292 */
293 
294 #include <__config>
295 
296 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
297 #pragma GCC system_header
298 #endif
299 
300 #define _LIBCPP_STDLIB_INCLUDE_NEXT
301 #include <stdlib.h>
302 
303 #include_next <math.h>
304 
305 #ifdef __cplusplus
306 
307 // We support including .h headers inside 'extern "C"' contexts, so switch
308 // back to C++ linkage before including these C++ headers.
309 extern "C++" {
310 
311 #include <type_traits>
312 #include <limits>
313 
314 // signbit
315 
316 #ifdef signbit
317 
318 template <class _A1>
319 _LIBCPP_INLINE_VISIBILITY
320 bool
321 __libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
322 {
323     return signbit(__lcpp_x);
324 }
325 
326 #undef signbit
327 
328 template <class _A1>
329 inline _LIBCPP_INLINE_VISIBILITY
330 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
331 signbit(_A1 __lcpp_x) _NOEXCEPT
332 {
333     return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
334 }
335 
336 template <class _A1>
337 inline _LIBCPP_INLINE_VISIBILITY
338 typename std::enable_if<
339     std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
340 signbit(_A1 __lcpp_x) _NOEXCEPT
341 { return __lcpp_x < 0; }
342 
343 template <class _A1>
344 inline _LIBCPP_INLINE_VISIBILITY
345 typename std::enable_if<
346     std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
347 signbit(_A1) _NOEXCEPT
348 { return false; }
349 
350 #elif defined(_LIBCPP_MSVCRT)
351 
352 template <typename _A1>
353 inline _LIBCPP_INLINE_VISIBILITY
354 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
355 signbit(_A1 __lcpp_x) _NOEXCEPT
356 {
357   return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
358 }
359 
360 template <class _A1>
361 inline _LIBCPP_INLINE_VISIBILITY
362 typename std::enable_if<
363     std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
364 signbit(_A1 __lcpp_x) _NOEXCEPT
365 { return __lcpp_x < 0; }
366 
367 template <class _A1>
368 inline _LIBCPP_INLINE_VISIBILITY
369 typename std::enable_if<
370     std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
371 signbit(_A1) _NOEXCEPT
372 { return false; }
373 
374 #endif  // signbit
375 
376 // fpclassify
377 
378 #ifdef fpclassify
379 
380 template <class _A1>
381 _LIBCPP_INLINE_VISIBILITY
382 int
383 __libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
384 {
385     return fpclassify(__lcpp_x);
386 }
387 
388 #undef fpclassify
389 
390 template <class _A1>
391 inline _LIBCPP_INLINE_VISIBILITY
392 typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
393 fpclassify(_A1 __lcpp_x) _NOEXCEPT
394 {
395     return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
396 }
397 
398 template <class _A1>
399 inline _LIBCPP_INLINE_VISIBILITY
400 typename std::enable_if<std::is_integral<_A1>::value, int>::type
401 fpclassify(_A1 __lcpp_x) _NOEXCEPT
402 { return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
403 
404 #elif defined(_LIBCPP_MSVCRT)
405 
406 template <typename _A1>
407 inline _LIBCPP_INLINE_VISIBILITY
408 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
409 fpclassify(_A1 __lcpp_x) _NOEXCEPT
410 {
411   return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
412 }
413 
414 template <class _A1>
415 inline _LIBCPP_INLINE_VISIBILITY
416 typename std::enable_if<std::is_integral<_A1>::value, int>::type
417 fpclassify(_A1 __lcpp_x) _NOEXCEPT
418 { return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
419 
420 #endif  // fpclassify
421 
422 // isfinite
423 
424 #ifdef isfinite
425 
426 template <class _A1>
427 _LIBCPP_INLINE_VISIBILITY
428 bool
429 __libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
430 {
431     return isfinite(__lcpp_x);
432 }
433 
434 #undef isfinite
435 
436 template <class _A1>
437 inline _LIBCPP_INLINE_VISIBILITY
438 typename std::enable_if<
439     std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
440     bool>::type
441 isfinite(_A1 __lcpp_x) _NOEXCEPT
442 {
443     return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
444 }
445 
446 template <class _A1>
447 inline _LIBCPP_INLINE_VISIBILITY
448 typename std::enable_if<
449     std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
450     bool>::type
451 isfinite(_A1) _NOEXCEPT
452 { return true; }
453 
454 #endif  // isfinite
455 
456 // isinf
457 
458 #ifdef isinf
459 
460 template <class _A1>
461 _LIBCPP_INLINE_VISIBILITY
462 bool
463 __libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
464 {
465     return isinf(__lcpp_x);
466 }
467 
468 #undef isinf
469 
470 template <class _A1>
471 inline _LIBCPP_INLINE_VISIBILITY
472 typename std::enable_if<
473     std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
474     bool>::type
475 isinf(_A1 __lcpp_x) _NOEXCEPT
476 {
477     return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
478 }
479 
480 template <class _A1>
481 inline _LIBCPP_INLINE_VISIBILITY
482 typename std::enable_if<
483     std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
484     bool>::type
485 isinf(_A1) _NOEXCEPT
486 { return false; }
487 
488 #ifdef _LIBCPP_PREFERRED_OVERLOAD
489 inline _LIBCPP_INLINE_VISIBILITY
490 bool
491 isinf(float __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
492 
493 inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
494 bool
495 isinf(double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
496 
497 inline _LIBCPP_INLINE_VISIBILITY
498 bool
499 isinf(long double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
500 #endif
501 
502 #endif  // isinf
503 
504 // isnan
505 
506 #ifdef isnan
507 
508 template <class _A1>
509 _LIBCPP_INLINE_VISIBILITY
510 bool
511 __libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
512 {
513     return isnan(__lcpp_x);
514 }
515 
516 #undef isnan
517 
518 template <class _A1>
519 inline _LIBCPP_INLINE_VISIBILITY
520 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
521 isnan(_A1 __lcpp_x) _NOEXCEPT
522 {
523     return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
524 }
525 
526 template <class _A1>
527 inline _LIBCPP_INLINE_VISIBILITY
528 typename std::enable_if<std::is_integral<_A1>::value, bool>::type
529 isnan(_A1) _NOEXCEPT
530 { return false; }
531 
532 #ifdef _LIBCPP_PREFERRED_OVERLOAD
533 inline _LIBCPP_INLINE_VISIBILITY
534 bool
535 isnan(float __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
536 
537 inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
538 bool
539 isnan(double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
540 
541 inline _LIBCPP_INLINE_VISIBILITY
542 bool
543 isnan(long double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
544 #endif
545 
546 #endif  // isnan
547 
548 // isnormal
549 
550 #ifdef isnormal
551 
552 template <class _A1>
553 _LIBCPP_INLINE_VISIBILITY
554 bool
555 __libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
556 {
557     return isnormal(__lcpp_x);
558 }
559 
560 #undef isnormal
561 
562 template <class _A1>
563 inline _LIBCPP_INLINE_VISIBILITY
564 typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
565 isnormal(_A1 __lcpp_x) _NOEXCEPT
566 {
567     return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
568 }
569 
570 template <class _A1>
571 inline _LIBCPP_INLINE_VISIBILITY
572 typename std::enable_if<std::is_integral<_A1>::value, bool>::type
573 isnormal(_A1 __lcpp_x) _NOEXCEPT
574 { return __lcpp_x != 0; }
575 
576 #endif  // isnormal
577 
578 // isgreater
579 
580 #ifdef isgreater
581 
582 template <class _A1, class _A2>
583 _LIBCPP_INLINE_VISIBILITY
584 bool
585 __libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
586 {
587     return isgreater(__lcpp_x, __lcpp_y);
588 }
589 
590 #undef isgreater
591 
592 template <class _A1, class _A2>
593 inline _LIBCPP_INLINE_VISIBILITY
594 typename std::enable_if
595 <
596     std::is_arithmetic<_A1>::value &&
597     std::is_arithmetic<_A2>::value,
598     bool
599 >::type
600 isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
601 {
602     typedef typename std::__promote<_A1, _A2>::type type;
603     return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
604 }
605 
606 #endif  // isgreater
607 
608 // isgreaterequal
609 
610 #ifdef isgreaterequal
611 
612 template <class _A1, class _A2>
613 _LIBCPP_INLINE_VISIBILITY
614 bool
615 __libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
616 {
617     return isgreaterequal(__lcpp_x, __lcpp_y);
618 }
619 
620 #undef isgreaterequal
621 
622 template <class _A1, class _A2>
623 inline _LIBCPP_INLINE_VISIBILITY
624 typename std::enable_if
625 <
626     std::is_arithmetic<_A1>::value &&
627     std::is_arithmetic<_A2>::value,
628     bool
629 >::type
630 isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
631 {
632     typedef typename std::__promote<_A1, _A2>::type type;
633     return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
634 }
635 
636 #endif  // isgreaterequal
637 
638 // isless
639 
640 #ifdef isless
641 
642 template <class _A1, class _A2>
643 _LIBCPP_INLINE_VISIBILITY
644 bool
645 __libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
646 {
647     return isless(__lcpp_x, __lcpp_y);
648 }
649 
650 #undef isless
651 
652 template <class _A1, class _A2>
653 inline _LIBCPP_INLINE_VISIBILITY
654 typename std::enable_if
655 <
656     std::is_arithmetic<_A1>::value &&
657     std::is_arithmetic<_A2>::value,
658     bool
659 >::type
660 isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
661 {
662     typedef typename std::__promote<_A1, _A2>::type type;
663     return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
664 }
665 
666 #endif  // isless
667 
668 // islessequal
669 
670 #ifdef islessequal
671 
672 template <class _A1, class _A2>
673 _LIBCPP_INLINE_VISIBILITY
674 bool
675 __libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
676 {
677     return islessequal(__lcpp_x, __lcpp_y);
678 }
679 
680 #undef islessequal
681 
682 template <class _A1, class _A2>
683 inline _LIBCPP_INLINE_VISIBILITY
684 typename std::enable_if
685 <
686     std::is_arithmetic<_A1>::value &&
687     std::is_arithmetic<_A2>::value,
688     bool
689 >::type
690 islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
691 {
692     typedef typename std::__promote<_A1, _A2>::type type;
693     return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
694 }
695 
696 #endif  // islessequal
697 
698 // islessgreater
699 
700 #ifdef islessgreater
701 
702 template <class _A1, class _A2>
703 _LIBCPP_INLINE_VISIBILITY
704 bool
705 __libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
706 {
707     return islessgreater(__lcpp_x, __lcpp_y);
708 }
709 
710 #undef islessgreater
711 
712 template <class _A1, class _A2>
713 inline _LIBCPP_INLINE_VISIBILITY
714 typename std::enable_if
715 <
716     std::is_arithmetic<_A1>::value &&
717     std::is_arithmetic<_A2>::value,
718     bool
719 >::type
720 islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
721 {
722     typedef typename std::__promote<_A1, _A2>::type type;
723     return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
724 }
725 
726 #endif  // islessgreater
727 
728 // isunordered
729 
730 #ifdef isunordered
731 
732 template <class _A1, class _A2>
733 _LIBCPP_INLINE_VISIBILITY
734 bool
735 __libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
736 {
737     return isunordered(__lcpp_x, __lcpp_y);
738 }
739 
740 #undef isunordered
741 
742 template <class _A1, class _A2>
743 inline _LIBCPP_INLINE_VISIBILITY
744 typename std::enable_if
745 <
746     std::is_arithmetic<_A1>::value &&
747     std::is_arithmetic<_A2>::value,
748     bool
749 >::type
750 isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
751 {
752     typedef typename std::__promote<_A1, _A2>::type type;
753     return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
754 }
755 
756 #endif  // isunordered
757 
758 // abs
759 
760 #undef abs
761 #undef labs
762 #ifndef _LIBCPP_HAS_NO_LONG_LONG
763 #undef llabs
764 #endif
765 
766 // MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
767 #if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
768 inline _LIBCPP_INLINE_VISIBILITY long abs(long __x) _NOEXCEPT {
769   return ::labs(__x);
770 }
771 #ifndef _LIBCPP_HAS_NO_LONG_LONG
772 inline _LIBCPP_INLINE_VISIBILITY long long abs(long long __x) _NOEXCEPT {
773   return ::llabs(__x);
774 }
775 #endif // _LIBCPP_HAS_NO_LONG_LONG
776 #endif // !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
777 
778 
779 #if !(defined(_AIX) || defined(__sun__))
780 inline _LIBCPP_INLINE_VISIBILITY float abs(float __lcpp_x) _NOEXCEPT {
781   return ::fabsf(__lcpp_x);
782 }
783 
784 inline _LIBCPP_INLINE_VISIBILITY double abs(double __lcpp_x) _NOEXCEPT {
785   return ::fabs(__lcpp_x);
786 }
787 
788 inline _LIBCPP_INLINE_VISIBILITY long double
789 abs(long double __lcpp_x) _NOEXCEPT {
790   return ::fabsl(__lcpp_x);
791 }
792 #endif // !(defined(_AIX) || defined(__sun__))
793 
794 // div
795 
796 #undef div
797 #undef ldiv
798 #ifndef _LIBCPP_HAS_NO_LONG_LONG
799 #undef lldiv
800 #endif
801 
802 // MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
803 #if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
804 inline _LIBCPP_INLINE_VISIBILITY ldiv_t div(long __x, long __y) _NOEXCEPT {
805   return ::ldiv(__x, __y);
806 }
807 #ifndef _LIBCPP_HAS_NO_LONG_LONG
808 inline _LIBCPP_INLINE_VISIBILITY lldiv_t div(long long __x,
809                                              long long __y) _NOEXCEPT {
810   return ::lldiv(__x, __y);
811 }
812 #endif // _LIBCPP_HAS_NO_LONG_LONG
813 #endif // _LIBCPP_MSVCRT / __sun__ / _AIX
814 
815 // acos
816 
817 #if !(defined(_AIX) || defined(__sun__))
818 inline _LIBCPP_INLINE_VISIBILITY float       acos(float __lcpp_x) _NOEXCEPT       {return ::acosf(__lcpp_x);}
819 inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);}
820 #endif
821 
822 template <class _A1>
823 inline _LIBCPP_INLINE_VISIBILITY
824 typename std::enable_if<std::is_integral<_A1>::value, double>::type
825 acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);}
826 
827 // asin
828 
829 #if !(defined(_AIX) || defined(__sun__))
830 inline _LIBCPP_INLINE_VISIBILITY float       asin(float __lcpp_x) _NOEXCEPT       {return ::asinf(__lcpp_x);}
831 inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);}
832 #endif
833 
834 template <class _A1>
835 inline _LIBCPP_INLINE_VISIBILITY
836 typename std::enable_if<std::is_integral<_A1>::value, double>::type
837 asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);}
838 
839 // atan
840 
841 #if !(defined(_AIX) || defined(__sun__))
842 inline _LIBCPP_INLINE_VISIBILITY float       atan(float __lcpp_x) _NOEXCEPT       {return ::atanf(__lcpp_x);}
843 inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);}
844 #endif
845 
846 template <class _A1>
847 inline _LIBCPP_INLINE_VISIBILITY
848 typename std::enable_if<std::is_integral<_A1>::value, double>::type
849 atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);}
850 
851 // atan2
852 
853 #if !(defined(_AIX) || defined(__sun__))
854 inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT             {return ::atan2f(__lcpp_y, __lcpp_x);}
855 inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);}
856 #endif
857 
858 template <class _A1, class _A2>
859 inline _LIBCPP_INLINE_VISIBILITY
860 typename std::_EnableIf
861 <
862     std::is_arithmetic<_A1>::value &&
863     std::is_arithmetic<_A2>::value,
864     std::__promote<_A1, _A2>
865 >::type
866 atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
867 {
868     typedef typename std::__promote<_A1, _A2>::type __result_type;
869     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
870                      std::_IsSame<_A2, __result_type>::value)), "");
871     return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
872 }
873 
874 // ceil
875 
876 #if !(defined(_AIX) || defined(__sun__))
877 inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __lcpp_x) _NOEXCEPT       {return ::ceilf(__lcpp_x);}
878 inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);}
879 #endif
880 
881 template <class _A1>
882 inline _LIBCPP_INLINE_VISIBILITY
883 typename std::enable_if<std::is_integral<_A1>::value, double>::type
884 ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);}
885 
886 // cos
887 
888 #if !(defined(_AIX) || defined(__sun__))
889 inline _LIBCPP_INLINE_VISIBILITY float       cos(float __lcpp_x) _NOEXCEPT       {return ::cosf(__lcpp_x);}
890 inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);}
891 #endif
892 
893 template <class _A1>
894 inline _LIBCPP_INLINE_VISIBILITY
895 typename std::enable_if<std::is_integral<_A1>::value, double>::type
896 cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);}
897 
898 // cosh
899 
900 #if !(defined(_AIX) || defined(__sun__))
901 inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __lcpp_x) _NOEXCEPT       {return ::coshf(__lcpp_x);}
902 inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);}
903 #endif
904 
905 template <class _A1>
906 inline _LIBCPP_INLINE_VISIBILITY
907 typename std::enable_if<std::is_integral<_A1>::value, double>::type
908 cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);}
909 
910 // exp
911 
912 #if !(defined(_AIX) || defined(__sun__))
913 inline _LIBCPP_INLINE_VISIBILITY float       exp(float __lcpp_x) _NOEXCEPT       {return ::expf(__lcpp_x);}
914 inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);}
915 #endif
916 
917 template <class _A1>
918 inline _LIBCPP_INLINE_VISIBILITY
919 typename std::enable_if<std::is_integral<_A1>::value, double>::type
920 exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);}
921 
922 // fabs
923 
924 #if !(defined(_AIX) || defined(__sun__))
925 inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __lcpp_x) _NOEXCEPT       {return ::fabsf(__lcpp_x);}
926 inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
927 #endif
928 
929 template <class _A1>
930 inline _LIBCPP_INLINE_VISIBILITY
931 typename std::enable_if<std::is_integral<_A1>::value, double>::type
932 fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);}
933 
934 // floor
935 
936 #if !(defined(_AIX) || defined(__sun__))
937 inline _LIBCPP_INLINE_VISIBILITY float       floor(float __lcpp_x) _NOEXCEPT       {return ::floorf(__lcpp_x);}
938 inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);}
939 #endif
940 
941 template <class _A1>
942 inline _LIBCPP_INLINE_VISIBILITY
943 typename std::enable_if<std::is_integral<_A1>::value, double>::type
944 floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);}
945 
946 // fmod
947 
948 #if !(defined(_AIX) || defined(__sun__))
949 inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmodf(__lcpp_x, __lcpp_y);}
950 inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);}
951 #endif
952 
953 template <class _A1, class _A2>
954 inline _LIBCPP_INLINE_VISIBILITY
955 typename std::_EnableIf
956 <
957     std::is_arithmetic<_A1>::value &&
958     std::is_arithmetic<_A2>::value,
959     std::__promote<_A1, _A2>
960 >::type
961 fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
962 {
963     typedef typename std::__promote<_A1, _A2>::type __result_type;
964     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
965                      std::_IsSame<_A2, __result_type>::value)), "");
966     return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
967 }
968 
969 // frexp
970 
971 #if !(defined(_AIX) || defined(__sun__))
972 inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT       {return ::frexpf(__lcpp_x, __lcpp_e);}
973 inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);}
974 #endif
975 
976 template <class _A1>
977 inline _LIBCPP_INLINE_VISIBILITY
978 typename std::enable_if<std::is_integral<_A1>::value, double>::type
979 frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);}
980 
981 // ldexp
982 
983 #if !(defined(_AIX) || defined(__sun__))
984 inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT       {return ::ldexpf(__lcpp_x, __lcpp_e);}
985 inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);}
986 #endif
987 
988 template <class _A1>
989 inline _LIBCPP_INLINE_VISIBILITY
990 typename std::enable_if<std::is_integral<_A1>::value, double>::type
991 ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);}
992 
993 // log
994 
995 #if !(defined(_AIX) || defined(__sun__))
996 inline _LIBCPP_INLINE_VISIBILITY float       log(float __lcpp_x) _NOEXCEPT       {return ::logf(__lcpp_x);}
997 inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);}
998 #endif
999 
1000 template <class _A1>
1001 inline _LIBCPP_INLINE_VISIBILITY
1002 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1003 log(_A1 __lcpp_x) _NOEXCEPT {return ::log((double)__lcpp_x);}
1004 
1005 // log10
1006 
1007 #if !(defined(_AIX) || defined(__sun__))
1008 inline _LIBCPP_INLINE_VISIBILITY float       log10(float __lcpp_x) _NOEXCEPT       {return ::log10f(__lcpp_x);}
1009 inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return ::log10l(__lcpp_x);}
1010 #endif
1011 
1012 template <class _A1>
1013 inline _LIBCPP_INLINE_VISIBILITY
1014 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1015 log10(_A1 __lcpp_x) _NOEXCEPT {return ::log10((double)__lcpp_x);}
1016 
1017 // modf
1018 
1019 #if !(defined(_AIX) || defined(__sun__))
1020 inline _LIBCPP_INLINE_VISIBILITY float       modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT             {return ::modff(__lcpp_x, __lcpp_y);}
1021 inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return ::modfl(__lcpp_x, __lcpp_y);}
1022 #endif
1023 
1024 // pow
1025 
1026 #if !(defined(_AIX) || defined(__sun__))
1027 inline _LIBCPP_INLINE_VISIBILITY float       pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::powf(__lcpp_x, __lcpp_y);}
1028 inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::powl(__lcpp_x, __lcpp_y);}
1029 #endif
1030 
1031 template <class _A1, class _A2>
1032 inline _LIBCPP_INLINE_VISIBILITY
1033 typename std::_EnableIf
1034 <
1035     std::is_arithmetic<_A1>::value &&
1036     std::is_arithmetic<_A2>::value,
1037     std::__promote<_A1, _A2>
1038 >::type
1039 pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1040 {
1041     typedef typename std::__promote<_A1, _A2>::type __result_type;
1042     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1043                      std::_IsSame<_A2, __result_type>::value)), "");
1044     return ::pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1045 }
1046 
1047 // sin
1048 
1049 #if !(defined(_AIX) || defined(__sun__))
1050 inline _LIBCPP_INLINE_VISIBILITY float       sin(float __lcpp_x) _NOEXCEPT       {return ::sinf(__lcpp_x);}
1051 inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return ::sinl(__lcpp_x);}
1052 #endif
1053 
1054 template <class _A1>
1055 inline _LIBCPP_INLINE_VISIBILITY
1056 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1057 sin(_A1 __lcpp_x) _NOEXCEPT {return ::sin((double)__lcpp_x);}
1058 
1059 // sinh
1060 
1061 #if !(defined(_AIX) || defined(__sun__))
1062 inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __lcpp_x) _NOEXCEPT       {return ::sinhf(__lcpp_x);}
1063 inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return ::sinhl(__lcpp_x);}
1064 #endif
1065 
1066 template <class _A1>
1067 inline _LIBCPP_INLINE_VISIBILITY
1068 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1069 sinh(_A1 __lcpp_x) _NOEXCEPT {return ::sinh((double)__lcpp_x);}
1070 
1071 // sqrt
1072 
1073 #if !(defined(_AIX) || defined(__sun__))
1074 inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __lcpp_x) _NOEXCEPT       {return ::sqrtf(__lcpp_x);}
1075 inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return ::sqrtl(__lcpp_x);}
1076 #endif
1077 
1078 template <class _A1>
1079 inline _LIBCPP_INLINE_VISIBILITY
1080 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1081 sqrt(_A1 __lcpp_x) _NOEXCEPT {return ::sqrt((double)__lcpp_x);}
1082 
1083 // tan
1084 
1085 #if !(defined(_AIX) || defined(__sun__))
1086 inline _LIBCPP_INLINE_VISIBILITY float       tan(float __lcpp_x) _NOEXCEPT       {return ::tanf(__lcpp_x);}
1087 inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return ::tanl(__lcpp_x);}
1088 #endif
1089 
1090 template <class _A1>
1091 inline _LIBCPP_INLINE_VISIBILITY
1092 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1093 tan(_A1 __lcpp_x) _NOEXCEPT {return ::tan((double)__lcpp_x);}
1094 
1095 // tanh
1096 
1097 #if !(defined(_AIX) || defined(__sun__))
1098 inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __lcpp_x) _NOEXCEPT       {return ::tanhf(__lcpp_x);}
1099 inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return ::tanhl(__lcpp_x);}
1100 #endif
1101 
1102 template <class _A1>
1103 inline _LIBCPP_INLINE_VISIBILITY
1104 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1105 tanh(_A1 __lcpp_x) _NOEXCEPT {return ::tanh((double)__lcpp_x);}
1106 
1107 // acosh
1108 
1109 inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __lcpp_x) _NOEXCEPT       {return ::acoshf(__lcpp_x);}
1110 inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return ::acoshl(__lcpp_x);}
1111 
1112 template <class _A1>
1113 inline _LIBCPP_INLINE_VISIBILITY
1114 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1115 acosh(_A1 __lcpp_x) _NOEXCEPT {return ::acosh((double)__lcpp_x);}
1116 
1117 // asinh
1118 
1119 inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __lcpp_x) _NOEXCEPT       {return ::asinhf(__lcpp_x);}
1120 inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return ::asinhl(__lcpp_x);}
1121 
1122 template <class _A1>
1123 inline _LIBCPP_INLINE_VISIBILITY
1124 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1125 asinh(_A1 __lcpp_x) _NOEXCEPT {return ::asinh((double)__lcpp_x);}
1126 
1127 // atanh
1128 
1129 inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __lcpp_x) _NOEXCEPT       {return ::atanhf(__lcpp_x);}
1130 inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return ::atanhl(__lcpp_x);}
1131 
1132 template <class _A1>
1133 inline _LIBCPP_INLINE_VISIBILITY
1134 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1135 atanh(_A1 __lcpp_x) _NOEXCEPT {return ::atanh((double)__lcpp_x);}
1136 
1137 // cbrt
1138 
1139 inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __lcpp_x) _NOEXCEPT       {return ::cbrtf(__lcpp_x);}
1140 inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return ::cbrtl(__lcpp_x);}
1141 
1142 template <class _A1>
1143 inline _LIBCPP_INLINE_VISIBILITY
1144 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1145 cbrt(_A1 __lcpp_x) _NOEXCEPT {return ::cbrt((double)__lcpp_x);}
1146 
1147 // copysign
1148 
1149 inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
1150                                                 float __lcpp_y) _NOEXCEPT {
1151   return ::copysignf(__lcpp_x, __lcpp_y);
1152 }
1153 inline _LIBCPP_INLINE_VISIBILITY long double
1154 copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
1155   return ::copysignl(__lcpp_x, __lcpp_y);
1156 }
1157 
1158 template <class _A1, class _A2>
1159 inline _LIBCPP_INLINE_VISIBILITY
1160 typename std::_EnableIf
1161 <
1162     std::is_arithmetic<_A1>::value &&
1163     std::is_arithmetic<_A2>::value,
1164     std::__promote<_A1, _A2>
1165 >::type
1166 copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1167 {
1168     typedef typename std::__promote<_A1, _A2>::type __result_type;
1169     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1170                      std::_IsSame<_A2, __result_type>::value)), "");
1171     return ::copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1172 }
1173 
1174 // erf
1175 
1176 inline _LIBCPP_INLINE_VISIBILITY float       erf(float __lcpp_x) _NOEXCEPT       {return ::erff(__lcpp_x);}
1177 inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return ::erfl(__lcpp_x);}
1178 
1179 template <class _A1>
1180 inline _LIBCPP_INLINE_VISIBILITY
1181 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1182 erf(_A1 __lcpp_x) _NOEXCEPT {return ::erf((double)__lcpp_x);}
1183 
1184 // erfc
1185 
1186 inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __lcpp_x) _NOEXCEPT       {return ::erfcf(__lcpp_x);}
1187 inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return ::erfcl(__lcpp_x);}
1188 
1189 template <class _A1>
1190 inline _LIBCPP_INLINE_VISIBILITY
1191 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1192 erfc(_A1 __lcpp_x) _NOEXCEPT {return ::erfc((double)__lcpp_x);}
1193 
1194 // exp2
1195 
1196 inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __lcpp_x) _NOEXCEPT       {return ::exp2f(__lcpp_x);}
1197 inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return ::exp2l(__lcpp_x);}
1198 
1199 template <class _A1>
1200 inline _LIBCPP_INLINE_VISIBILITY
1201 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1202 exp2(_A1 __lcpp_x) _NOEXCEPT {return ::exp2((double)__lcpp_x);}
1203 
1204 // expm1
1205 
1206 inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __lcpp_x) _NOEXCEPT       {return ::expm1f(__lcpp_x);}
1207 inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return ::expm1l(__lcpp_x);}
1208 
1209 template <class _A1>
1210 inline _LIBCPP_INLINE_VISIBILITY
1211 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1212 expm1(_A1 __lcpp_x) _NOEXCEPT {return ::expm1((double)__lcpp_x);}
1213 
1214 // fdim
1215 
1216 inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fdimf(__lcpp_x, __lcpp_y);}
1217 inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fdiml(__lcpp_x, __lcpp_y);}
1218 
1219 template <class _A1, class _A2>
1220 inline _LIBCPP_INLINE_VISIBILITY
1221 typename std::_EnableIf
1222 <
1223     std::is_arithmetic<_A1>::value &&
1224     std::is_arithmetic<_A2>::value,
1225     std::__promote<_A1, _A2>
1226 >::type
1227 fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1228 {
1229     typedef typename std::__promote<_A1, _A2>::type __result_type;
1230     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1231                      std::_IsSame<_A2, __result_type>::value)), "");
1232     return ::fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1233 }
1234 
1235 // fma
1236 
1237 inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT                   {return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
1238 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);}
1239 
1240 template <class _A1, class _A2, class _A3>
1241 inline _LIBCPP_INLINE_VISIBILITY
1242 typename std::_EnableIf
1243 <
1244     std::is_arithmetic<_A1>::value &&
1245     std::is_arithmetic<_A2>::value &&
1246     std::is_arithmetic<_A3>::value,
1247     std::__promote<_A1, _A2, _A3>
1248 >::type
1249 fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
1250 {
1251     typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
1252     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1253                      std::_IsSame<_A2, __result_type>::value &&
1254                      std::_IsSame<_A3, __result_type>::value)), "");
1255     return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
1256 }
1257 
1258 // fmax
1259 
1260 inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmaxf(__lcpp_x, __lcpp_y);}
1261 inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmaxl(__lcpp_x, __lcpp_y);}
1262 
1263 template <class _A1, class _A2>
1264 inline _LIBCPP_INLINE_VISIBILITY
1265 typename std::_EnableIf
1266 <
1267     std::is_arithmetic<_A1>::value &&
1268     std::is_arithmetic<_A2>::value,
1269     std::__promote<_A1, _A2>
1270 >::type
1271 fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1272 {
1273     typedef typename std::__promote<_A1, _A2>::type __result_type;
1274     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1275                      std::_IsSame<_A2, __result_type>::value)), "");
1276     return ::fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1277 }
1278 
1279 // fmin
1280 
1281 inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fminf(__lcpp_x, __lcpp_y);}
1282 inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fminl(__lcpp_x, __lcpp_y);}
1283 
1284 template <class _A1, class _A2>
1285 inline _LIBCPP_INLINE_VISIBILITY
1286 typename std::_EnableIf
1287 <
1288     std::is_arithmetic<_A1>::value &&
1289     std::is_arithmetic<_A2>::value,
1290     std::__promote<_A1, _A2>
1291 >::type
1292 fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1293 {
1294     typedef typename std::__promote<_A1, _A2>::type __result_type;
1295     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1296                      std::_IsSame<_A2, __result_type>::value)), "");
1297     return ::fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1298 }
1299 
1300 // hypot
1301 
1302 inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::hypotf(__lcpp_x, __lcpp_y);}
1303 inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::hypotl(__lcpp_x, __lcpp_y);}
1304 
1305 template <class _A1, class _A2>
1306 inline _LIBCPP_INLINE_VISIBILITY
1307 typename std::_EnableIf
1308 <
1309     std::is_arithmetic<_A1>::value &&
1310     std::is_arithmetic<_A2>::value,
1311     std::__promote<_A1, _A2>
1312 >::type
1313 hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1314 {
1315     typedef typename std::__promote<_A1, _A2>::type __result_type;
1316     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1317                      std::_IsSame<_A2, __result_type>::value)), "");
1318     return ::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1319 }
1320 
1321 // ilogb
1322 
1323 inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT       {return ::ilogbf(__lcpp_x);}
1324 inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ::ilogbl(__lcpp_x);}
1325 
1326 template <class _A1>
1327 inline _LIBCPP_INLINE_VISIBILITY
1328 typename std::enable_if<std::is_integral<_A1>::value, int>::type
1329 ilogb(_A1 __lcpp_x) _NOEXCEPT {return ::ilogb((double)__lcpp_x);}
1330 
1331 // lgamma
1332 
1333 inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __lcpp_x) _NOEXCEPT       {return ::lgammaf(__lcpp_x);}
1334 inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return ::lgammal(__lcpp_x);}
1335 
1336 template <class _A1>
1337 inline _LIBCPP_INLINE_VISIBILITY
1338 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1339 lgamma(_A1 __lcpp_x) _NOEXCEPT {return ::lgamma((double)__lcpp_x);}
1340 
1341 // llrint
1342 
1343 inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT       {return ::llrintf(__lcpp_x);}
1344 inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return ::llrintl(__lcpp_x);}
1345 
1346 template <class _A1>
1347 inline _LIBCPP_INLINE_VISIBILITY
1348 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
1349 llrint(_A1 __lcpp_x) _NOEXCEPT {return ::llrint((double)__lcpp_x);}
1350 
1351 // llround
1352 
1353 inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT       {return ::llroundf(__lcpp_x);}
1354 inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return ::llroundl(__lcpp_x);}
1355 
1356 template <class _A1>
1357 inline _LIBCPP_INLINE_VISIBILITY
1358 typename std::enable_if<std::is_integral<_A1>::value, long long>::type
1359 llround(_A1 __lcpp_x) _NOEXCEPT {return ::llround((double)__lcpp_x);}
1360 
1361 // log1p
1362 
1363 inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __lcpp_x) _NOEXCEPT       {return ::log1pf(__lcpp_x);}
1364 inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return ::log1pl(__lcpp_x);}
1365 
1366 template <class _A1>
1367 inline _LIBCPP_INLINE_VISIBILITY
1368 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1369 log1p(_A1 __lcpp_x) _NOEXCEPT {return ::log1p((double)__lcpp_x);}
1370 
1371 // log2
1372 
1373 inline _LIBCPP_INLINE_VISIBILITY float       log2(float __lcpp_x) _NOEXCEPT       {return ::log2f(__lcpp_x);}
1374 inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return ::log2l(__lcpp_x);}
1375 
1376 template <class _A1>
1377 inline _LIBCPP_INLINE_VISIBILITY
1378 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1379 log2(_A1 __lcpp_x) _NOEXCEPT {return ::log2((double)__lcpp_x);}
1380 
1381 // logb
1382 
1383 inline _LIBCPP_INLINE_VISIBILITY float       logb(float __lcpp_x) _NOEXCEPT       {return ::logbf(__lcpp_x);}
1384 inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return ::logbl(__lcpp_x);}
1385 
1386 template <class _A1>
1387 inline _LIBCPP_INLINE_VISIBILITY
1388 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1389 logb(_A1 __lcpp_x) _NOEXCEPT {return ::logb((double)__lcpp_x);}
1390 
1391 // lrint
1392 
1393 inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT       {return ::lrintf(__lcpp_x);}
1394 inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return ::lrintl(__lcpp_x);}
1395 
1396 template <class _A1>
1397 inline _LIBCPP_INLINE_VISIBILITY
1398 typename std::enable_if<std::is_integral<_A1>::value, long>::type
1399 lrint(_A1 __lcpp_x) _NOEXCEPT {return ::lrint((double)__lcpp_x);}
1400 
1401 // lround
1402 
1403 inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT       {return ::lroundf(__lcpp_x);}
1404 inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return ::lroundl(__lcpp_x);}
1405 
1406 template <class _A1>
1407 inline _LIBCPP_INLINE_VISIBILITY
1408 typename std::enable_if<std::is_integral<_A1>::value, long>::type
1409 lround(_A1 __lcpp_x) _NOEXCEPT {return ::lround((double)__lcpp_x);}
1410 
1411 // nan
1412 
1413 // nearbyint
1414 
1415 inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __lcpp_x) _NOEXCEPT       {return ::nearbyintf(__lcpp_x);}
1416 inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return ::nearbyintl(__lcpp_x);}
1417 
1418 template <class _A1>
1419 inline _LIBCPP_INLINE_VISIBILITY
1420 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1421 nearbyint(_A1 __lcpp_x) _NOEXCEPT {return ::nearbyint((double)__lcpp_x);}
1422 
1423 // nextafter
1424 
1425 inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::nextafterf(__lcpp_x, __lcpp_y);}
1426 inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nextafterl(__lcpp_x, __lcpp_y);}
1427 
1428 template <class _A1, class _A2>
1429 inline _LIBCPP_INLINE_VISIBILITY
1430 typename std::_EnableIf
1431 <
1432     std::is_arithmetic<_A1>::value &&
1433     std::is_arithmetic<_A2>::value,
1434     std::__promote<_A1, _A2>
1435 >::type
1436 nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1437 {
1438     typedef typename std::__promote<_A1, _A2>::type __result_type;
1439     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1440                      std::_IsSame<_A2, __result_type>::value)), "");
1441     return ::nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1442 }
1443 
1444 // nexttoward
1445 
1446 inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT       {return ::nexttowardf(__lcpp_x, __lcpp_y);}
1447 inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardl(__lcpp_x, __lcpp_y);}
1448 
1449 template <class _A1>
1450 inline _LIBCPP_INLINE_VISIBILITY
1451 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1452 nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttoward((double)__lcpp_x, __lcpp_y);}
1453 
1454 // remainder
1455 
1456 inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::remainderf(__lcpp_x, __lcpp_y);}
1457 inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::remainderl(__lcpp_x, __lcpp_y);}
1458 
1459 template <class _A1, class _A2>
1460 inline _LIBCPP_INLINE_VISIBILITY
1461 typename std::_EnableIf
1462 <
1463     std::is_arithmetic<_A1>::value &&
1464     std::is_arithmetic<_A2>::value,
1465     std::__promote<_A1, _A2>
1466 >::type
1467 remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
1468 {
1469     typedef typename std::__promote<_A1, _A2>::type __result_type;
1470     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1471                      std::_IsSame<_A2, __result_type>::value)), "");
1472     return ::remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
1473 }
1474 
1475 // remquo
1476 
1477 inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT             {return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
1478 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);}
1479 
1480 template <class _A1, class _A2>
1481 inline _LIBCPP_INLINE_VISIBILITY
1482 typename std::_EnableIf
1483 <
1484     std::is_arithmetic<_A1>::value &&
1485     std::is_arithmetic<_A2>::value,
1486     std::__promote<_A1, _A2>
1487 >::type
1488 remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
1489 {
1490     typedef typename std::__promote<_A1, _A2>::type __result_type;
1491     static_assert((!(std::_IsSame<_A1, __result_type>::value &&
1492                      std::_IsSame<_A2, __result_type>::value)), "");
1493     return ::remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
1494 }
1495 
1496 // rint
1497 
1498 inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT       {return ::rintf(__lcpp_x);}
1499 inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return ::rintl(__lcpp_x);}
1500 
1501 template <class _A1>
1502 inline _LIBCPP_INLINE_VISIBILITY
1503 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1504 rint(_A1 __lcpp_x) _NOEXCEPT {return ::rint((double)__lcpp_x);}
1505 
1506 // round
1507 
1508 inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT       {return ::roundf(__lcpp_x);}
1509 inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return ::roundl(__lcpp_x);}
1510 
1511 template <class _A1>
1512 inline _LIBCPP_INLINE_VISIBILITY
1513 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1514 round(_A1 __lcpp_x) _NOEXCEPT {return ::round((double)__lcpp_x);}
1515 
1516 // scalbln
1517 
1518 inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT       {return ::scalblnf(__lcpp_x, __lcpp_y);}
1519 inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnl(__lcpp_x, __lcpp_y);}
1520 
1521 template <class _A1>
1522 inline _LIBCPP_INLINE_VISIBILITY
1523 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1524 scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalbln((double)__lcpp_x, __lcpp_y);}
1525 
1526 // scalbn
1527 
1528 inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT       {return ::scalbnf(__lcpp_x, __lcpp_y);}
1529 inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnl(__lcpp_x, __lcpp_y);}
1530 
1531 template <class _A1>
1532 inline _LIBCPP_INLINE_VISIBILITY
1533 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1534 scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbn((double)__lcpp_x, __lcpp_y);}
1535 
1536 // tgamma
1537 
1538 inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __lcpp_x) _NOEXCEPT       {return ::tgammaf(__lcpp_x);}
1539 inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return ::tgammal(__lcpp_x);}
1540 
1541 template <class _A1>
1542 inline _LIBCPP_INLINE_VISIBILITY
1543 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1544 tgamma(_A1 __lcpp_x) _NOEXCEPT {return ::tgamma((double)__lcpp_x);}
1545 
1546 // trunc
1547 
1548 inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT       {return ::truncf(__lcpp_x);}
1549 inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return ::truncl(__lcpp_x);}
1550 
1551 template <class _A1>
1552 inline _LIBCPP_INLINE_VISIBILITY
1553 typename std::enable_if<std::is_integral<_A1>::value, double>::type
1554 trunc(_A1 __lcpp_x) _NOEXCEPT {return ::trunc((double)__lcpp_x);}
1555 
1556 } // extern "C++"
1557 
1558 #endif // __cplusplus
1559 
1560 #else // _LIBCPP_MATH_H
1561 
1562 // This include lives outside the header guard in order to support an MSVC
1563 // extension which allows users to do:
1564 //
1565 // #define _USE_MATH_DEFINES
1566 // #include <math.h>
1567 //
1568 // and receive the definitions of mathematical constants, even if <math.h>
1569 // has previously been included.
1570 #if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES)
1571 #include_next <math.h>
1572 #endif
1573 
1574 #endif  // _LIBCPP_MATH_H
1575