2 //===---------------------------- cmath -----------------------------------===//
4 // The LLVM Compiler Infrastructure
6 // This file is dual licensed under the MIT and the University of Illinois Open
7 // Source Licenses. See LICENSE.TXT for details.
9 //===----------------------------------------------------------------------===//
36 math_errhandling // C99
48 floating_point abs(floating_point x);
50 floating_point acos (arithmetic x);
52 long double acosl(long double x);
54 floating_point asin (arithmetic x);
56 long double asinl(long double x);
58 floating_point atan (arithmetic x);
60 long double atanl(long double x);
62 floating_point atan2 (arithmetic y, arithmetic x);
63 float atan2f(float y, float x);
64 long double atan2l(long double y, long double x);
66 floating_point ceil (arithmetic x);
68 long double ceill(long double x);
70 floating_point cos (arithmetic x);
72 long double cosl(long double x);
74 floating_point cosh (arithmetic x);
76 long double coshl(long double x);
78 floating_point exp (arithmetic x);
80 long double expl(long double x);
82 floating_point fabs (arithmetic x);
84 long double fabsl(long double x);
86 floating_point floor (arithmetic x);
87 float floorf(float x);
88 long double floorl(long double x);
90 floating_point fmod (arithmetic x, arithmetic y);
91 float fmodf(float x, float y);
92 long double fmodl(long double x, long double y);
94 floating_point frexp (arithmetic value, int* exp);
95 float frexpf(float value, int* exp);
96 long double frexpl(long double value, int* exp);
98 floating_point ldexp (arithmetic value, int exp);
99 float ldexpf(float value, int exp);
100 long double ldexpl(long double value, int exp);
102 floating_point log (arithmetic x);
104 long double logl(long double x);
106 floating_point log10 (arithmetic x);
107 float log10f(float x);
108 long double log10l(long double x);
110 floating_point modf (floating_point value, floating_point* iptr);
111 float modff(float value, float* iptr);
112 long double modfl(long double value, long double* iptr);
114 floating_point pow (arithmetic x, arithmetic y);
115 float powf(float x, float y);
116 long double powl(long double x, long double y);
118 floating_point sin (arithmetic x);
120 long double sinl(long double x);
122 floating_point sinh (arithmetic x);
123 float sinhf(float x);
124 long double sinhl(long double x);
126 floating_point sqrt (arithmetic x);
127 float sqrtf(float x);
128 long double sqrtl(long double x);
130 floating_point tan (arithmetic x);
132 long double tanl(long double x);
134 floating_point tanh (arithmetic x);
135 float tanhf(float x);
136 long double tanhl(long double x);
140 bool signbit(arithmetic x);
142 int fpclassify(arithmetic x);
144 bool isfinite(arithmetic x);
145 bool isinf(arithmetic x);
146 bool isnan(arithmetic x);
147 bool isnormal(arithmetic x);
149 bool isgreater(arithmetic x, arithmetic y);
150 bool isgreaterequal(arithmetic x, arithmetic y);
151 bool isless(arithmetic x, arithmetic y);
152 bool islessequal(arithmetic x, arithmetic y);
153 bool islessgreater(arithmetic x, arithmetic y);
154 bool isunordered(arithmetic x, arithmetic y);
156 floating_point acosh (arithmetic x);
157 float acoshf(float x);
158 long double acoshl(long double x);
160 floating_point asinh (arithmetic x);
161 float asinhf(float x);
162 long double asinhl(long double x);
164 floating_point atanh (arithmetic x);
165 float atanhf(float x);
166 long double atanhl(long double x);
168 floating_point cbrt (arithmetic x);
169 float cbrtf(float x);
170 long double cbrtl(long double x);
172 floating_point copysign (arithmetic x, arithmetic y);
173 float copysignf(float x, float y);
174 long double copysignl(long double x, long double y);
176 floating_point erf (arithmetic x);
178 long double erfl(long double x);
180 floating_point erfc (arithmetic x);
181 float erfcf(float x);
182 long double erfcl(long double x);
184 floating_point exp2 (arithmetic x);
185 float exp2f(float x);
186 long double exp2l(long double x);
188 floating_point expm1 (arithmetic x);
189 float expm1f(float x);
190 long double expm1l(long double x);
192 floating_point fdim (arithmetic x, arithmetic y);
193 float fdimf(float x, float y);
194 long double fdiml(long double x, long double y);
196 floating_point fma (arithmetic x, arithmetic y, arithmetic z);
197 float fmaf(float x, float y, float z);
198 long double fmal(long double x, long double y, long double z);
200 floating_point fmax (arithmetic x, arithmetic y);
201 float fmaxf(float x, float y);
202 long double fmaxl(long double x, long double y);
204 floating_point fmin (arithmetic x, arithmetic y);
205 float fminf(float x, float y);
206 long double fminl(long double x, long double y);
208 floating_point hypot (arithmetic x, arithmetic y);
209 float hypotf(float x, float y);
210 long double hypotl(long double x, long double y);
212 int ilogb (arithmetic x);
214 int ilogbl(long double x);
216 floating_point lgamma (arithmetic x);
217 float lgammaf(float x);
218 long double lgammal(long double x);
220 long long llrint (arithmetic x);
221 long long llrintf(float x);
222 long long llrintl(long double x);
224 long long llround (arithmetic x);
225 long long llroundf(float x);
226 long long llroundl(long double x);
228 floating_point log1p (arithmetic x);
229 float log1pf(float x);
230 long double log1pl(long double x);
232 floating_point log2 (arithmetic x);
233 float log2f(float x);
234 long double log2l(long double x);
236 floating_point logb (arithmetic x);
237 float logbf(float x);
238 long double logbl(long double x);
240 long lrint (arithmetic x);
241 long lrintf(float x);
242 long lrintl(long double x);
244 long lround (arithmetic x);
245 long lroundf(float x);
246 long lroundl(long double x);
248 double nan (const char* str);
249 float nanf(const char* str);
250 long double nanl(const char* str);
252 floating_point nearbyint (arithmetic x);
253 float nearbyintf(float x);
254 long double nearbyintl(long double x);
256 floating_point nextafter (arithmetic x, arithmetic y);
257 float nextafterf(float x, float y);
258 long double nextafterl(long double x, long double y);
260 floating_point nexttoward (arithmetic x, long double y);
261 float nexttowardf(float x, long double y);
262 long double nexttowardl(long double x, long double y);
264 floating_point remainder (arithmetic x, arithmetic y);
265 float remainderf(float x, float y);
266 long double remainderl(long double x, long double y);
268 floating_point remquo (arithmetic x, arithmetic y, int* pquo);
269 float remquof(float x, float y, int* pquo);
270 long double remquol(long double x, long double y, int* pquo);
272 floating_point rint (arithmetic x);
273 float rintf(float x);
274 long double rintl(long double x);
276 floating_point round (arithmetic x);
277 float roundf(float x);
278 long double roundl(long double x);
280 floating_point scalbln (arithmetic x, long ex);
281 float scalblnf(float x, long ex);
282 long double scalblnl(long double x, long ex);
284 floating_point scalbn (arithmetic x, int ex);
285 float scalbnf(float x, int ex);
286 long double scalbnl(long double x, int ex);
288 floating_point tgamma (arithmetic x);
289 float tgammaf(float x);
290 long double tgammal(long double x);
292 floating_point trunc (arithmetic x);
293 float truncf(float x);
294 long double truncl(long double x);
302 #include <type_traits>
305 #include "support/win32/math_win32.h"
308 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
309 #pragma GCC system_header
317 _LIBCPP_ALWAYS_INLINE
319 __libcpp_signbit(_A1 __x) _NOEXCEPT
327 inline _LIBCPP_INLINE_VISIBILITY
328 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
329 signbit(_A1 __x) _NOEXCEPT
331 return __libcpp_signbit((typename std::__promote<_A1>::type)__x);
341 _LIBCPP_ALWAYS_INLINE
343 __libcpp_fpclassify(_A1 __x) _NOEXCEPT
345 return fpclassify(__x);
351 inline _LIBCPP_INLINE_VISIBILITY
352 typename std::enable_if<std::is_arithmetic<_A1>::value, int>::type
353 fpclassify(_A1 __x) _NOEXCEPT
355 return __libcpp_fpclassify((typename std::__promote<_A1>::type)__x);
365 _LIBCPP_ALWAYS_INLINE
367 __libcpp_isfinite(_A1 __x) _NOEXCEPT
369 return isfinite(__x);
375 inline _LIBCPP_INLINE_VISIBILITY
376 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
377 isfinite(_A1 __x) _NOEXCEPT
379 return __libcpp_isfinite((typename std::__promote<_A1>::type)__x);
389 _LIBCPP_ALWAYS_INLINE
391 __libcpp_isinf(_A1 __x) _NOEXCEPT
399 inline _LIBCPP_INLINE_VISIBILITY
400 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
401 isinf(_A1 __x) _NOEXCEPT
403 return __libcpp_isinf((typename std::__promote<_A1>::type)__x);
413 _LIBCPP_ALWAYS_INLINE
415 __libcpp_isnan(_A1 __x) _NOEXCEPT
423 inline _LIBCPP_INLINE_VISIBILITY
424 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
425 isnan(_A1 __x) _NOEXCEPT
427 return __libcpp_isnan((typename std::__promote<_A1>::type)__x);
437 _LIBCPP_ALWAYS_INLINE
439 __libcpp_isnormal(_A1 __x) _NOEXCEPT
441 return isnormal(__x);
447 inline _LIBCPP_INLINE_VISIBILITY
448 typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
449 isnormal(_A1 __x) _NOEXCEPT
451 return __libcpp_isnormal((typename std::__promote<_A1>::type)__x);
460 template <class _A1, class _A2>
461 _LIBCPP_ALWAYS_INLINE
463 __libcpp_isgreater(_A1 __x, _A2 __y) _NOEXCEPT
465 return isgreater(__x, __y);
470 template <class _A1, class _A2>
471 inline _LIBCPP_INLINE_VISIBILITY
472 typename std::enable_if
474 std::is_arithmetic<_A1>::value &&
475 std::is_arithmetic<_A2>::value,
478 isgreater(_A1 __x, _A2 __y) _NOEXCEPT
480 typedef typename std::__promote<_A1, _A2>::type type;
481 return __libcpp_isgreater((type)__x, (type)__y);
488 #ifdef isgreaterequal
490 template <class _A1, class _A2>
491 _LIBCPP_ALWAYS_INLINE
493 __libcpp_isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT
495 return isgreaterequal(__x, __y);
498 #undef isgreaterequal
500 template <class _A1, class _A2>
501 inline _LIBCPP_INLINE_VISIBILITY
502 typename std::enable_if
504 std::is_arithmetic<_A1>::value &&
505 std::is_arithmetic<_A2>::value,
508 isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT
510 typedef typename std::__promote<_A1, _A2>::type type;
511 return __libcpp_isgreaterequal((type)__x, (type)__y);
514 #endif // isgreaterequal
520 template <class _A1, class _A2>
521 _LIBCPP_ALWAYS_INLINE
523 __libcpp_isless(_A1 __x, _A2 __y) _NOEXCEPT
525 return isless(__x, __y);
530 template <class _A1, class _A2>
531 inline _LIBCPP_INLINE_VISIBILITY
532 typename std::enable_if
534 std::is_arithmetic<_A1>::value &&
535 std::is_arithmetic<_A2>::value,
538 isless(_A1 __x, _A2 __y) _NOEXCEPT
540 typedef typename std::__promote<_A1, _A2>::type type;
541 return __libcpp_isless((type)__x, (type)__y);
550 template <class _A1, class _A2>
551 _LIBCPP_ALWAYS_INLINE
553 __libcpp_islessequal(_A1 __x, _A2 __y) _NOEXCEPT
555 return islessequal(__x, __y);
560 template <class _A1, class _A2>
561 inline _LIBCPP_INLINE_VISIBILITY
562 typename std::enable_if
564 std::is_arithmetic<_A1>::value &&
565 std::is_arithmetic<_A2>::value,
568 islessequal(_A1 __x, _A2 __y) _NOEXCEPT
570 typedef typename std::__promote<_A1, _A2>::type type;
571 return __libcpp_islessequal((type)__x, (type)__y);
574 #endif // islessequal
580 template <class _A1, class _A2>
581 _LIBCPP_ALWAYS_INLINE
583 __libcpp_islessgreater(_A1 __x, _A2 __y) _NOEXCEPT
585 return islessgreater(__x, __y);
590 template <class _A1, class _A2>
591 inline _LIBCPP_INLINE_VISIBILITY
592 typename std::enable_if
594 std::is_arithmetic<_A1>::value &&
595 std::is_arithmetic<_A2>::value,
598 islessgreater(_A1 __x, _A2 __y) _NOEXCEPT
600 typedef typename std::__promote<_A1, _A2>::type type;
601 return __libcpp_islessgreater((type)__x, (type)__y);
604 #endif // islessgreater
610 template <class _A1, class _A2>
611 _LIBCPP_ALWAYS_INLINE
613 __libcpp_isunordered(_A1 __x, _A2 __y) _NOEXCEPT
615 return isunordered(__x, __y);
620 template <class _A1, class _A2>
621 inline _LIBCPP_INLINE_VISIBILITY
622 typename std::enable_if
624 std::is_arithmetic<_A1>::value &&
625 std::is_arithmetic<_A2>::value,
628 isunordered(_A1 __x, _A2 __y) _NOEXCEPT
630 typedef typename std::__promote<_A1, _A2>::type type;
631 return __libcpp_isunordered((type)__x, (type)__y);
634 #endif // isunordered
636 _LIBCPP_BEGIN_NAMESPACE_STD
645 using ::isgreaterequal;
648 using ::islessgreater;
657 inline _LIBCPP_INLINE_VISIBILITY
659 abs(float __x) _NOEXCEPT {return fabsf(__x);}
661 inline _LIBCPP_INLINE_VISIBILITY
663 abs(double __x) _NOEXCEPT {return fabs(__x);}
665 inline _LIBCPP_INLINE_VISIBILITY
667 abs(long double __x) _NOEXCEPT {return fabsl(__x);}
677 inline _LIBCPP_INLINE_VISIBILITY float acos(float __x) _NOEXCEPT {return acosf(__x);}
678 inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) _NOEXCEPT {return acosl(__x);}
682 inline _LIBCPP_INLINE_VISIBILITY
683 typename enable_if<is_integral<_A1>::value, double>::type
684 acos(_A1 __x) _NOEXCEPT {return acos((double)__x);}
692 inline _LIBCPP_INLINE_VISIBILITY float asin(float __x) _NOEXCEPT {return asinf(__x);}
693 inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) _NOEXCEPT {return asinl(__x);}
697 inline _LIBCPP_INLINE_VISIBILITY
698 typename enable_if<is_integral<_A1>::value, double>::type
699 asin(_A1 __x) _NOEXCEPT {return asin((double)__x);}
707 inline _LIBCPP_INLINE_VISIBILITY float atan(float __x) _NOEXCEPT {return atanf(__x);}
708 inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) _NOEXCEPT {return atanl(__x);}
712 inline _LIBCPP_INLINE_VISIBILITY
713 typename enable_if<is_integral<_A1>::value, double>::type
714 atan(_A1 __x) _NOEXCEPT {return atan((double)__x);}
722 inline _LIBCPP_INLINE_VISIBILITY float atan2(float __y, float __x) _NOEXCEPT {return atan2f(__y, __x);}
723 inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __y, long double __x) _NOEXCEPT {return atan2l(__y, __x);}
726 template <class _A1, class _A2>
727 inline _LIBCPP_INLINE_VISIBILITY
730 is_arithmetic<_A1>::value &&
731 is_arithmetic<_A2>::value,
732 typename __promote<_A1, _A2>::type
734 atan2(_A1 __y, _A2 __x) _NOEXCEPT
736 typedef typename __promote<_A1, _A2>::type __result_type;
737 static_assert((!(is_same<_A1, __result_type>::value &&
738 is_same<_A2, __result_type>::value)), "");
739 return atan2((__result_type)__y, (__result_type)__x);
748 inline _LIBCPP_INLINE_VISIBILITY float ceil(float __x) _NOEXCEPT {return ceilf(__x);}
749 inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) _NOEXCEPT {return ceill(__x);}
753 inline _LIBCPP_INLINE_VISIBILITY
754 typename enable_if<is_integral<_A1>::value, double>::type
755 ceil(_A1 __x) _NOEXCEPT {return ceil((double)__x);}
763 inline _LIBCPP_INLINE_VISIBILITY float cos(float __x) _NOEXCEPT {return cosf(__x);}
764 inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) _NOEXCEPT {return cosl(__x);}
768 inline _LIBCPP_ALWAYS_INLINE _LIBCPP_INLINE_VISIBILITY
769 typename enable_if<is_integral<_A1>::value, double>::type
770 cos(_A1 __x) _NOEXCEPT {return cos((double)__x);}
778 inline _LIBCPP_INLINE_VISIBILITY float cosh(float __x) _NOEXCEPT {return coshf(__x);}
779 inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) _NOEXCEPT {return coshl(__x);}
783 inline _LIBCPP_INLINE_VISIBILITY
784 typename enable_if<is_integral<_A1>::value, double>::type
785 cosh(_A1 __x) _NOEXCEPT {return cosh((double)__x);}
796 inline _LIBCPP_INLINE_VISIBILITY float exp(float __x) _NOEXCEPT {return expf(__x);}
797 inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) _NOEXCEPT {return expl(__x);}
802 inline _LIBCPP_INLINE_VISIBILITY
803 typename enable_if<is_integral<_A1>::value, double>::type
804 exp(_A1 __x) _NOEXCEPT {return exp((double)__x);}
812 inline _LIBCPP_INLINE_VISIBILITY float fabs(float __x) _NOEXCEPT {return fabsf(__x);}
813 inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) _NOEXCEPT {return fabsl(__x);}
817 inline _LIBCPP_INLINE_VISIBILITY
818 typename enable_if<is_integral<_A1>::value, double>::type
819 fabs(_A1 __x) _NOEXCEPT {return fabs((double)__x);}
827 inline _LIBCPP_INLINE_VISIBILITY float floor(float __x) _NOEXCEPT {return floorf(__x);}
828 inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) _NOEXCEPT {return floorl(__x);}
832 inline _LIBCPP_INLINE_VISIBILITY
833 typename enable_if<is_integral<_A1>::value, double>::type
834 floor(_A1 __x) _NOEXCEPT {return floor((double)__x);}
844 inline _LIBCPP_INLINE_VISIBILITY float fmod(float __x, float __y) _NOEXCEPT {return fmodf(__x, __y);}
845 inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __x, long double __y) _NOEXCEPT {return fmodl(__x, __y);}
848 template <class _A1, class _A2>
849 inline _LIBCPP_INLINE_VISIBILITY
852 is_arithmetic<_A1>::value &&
853 is_arithmetic<_A2>::value,
854 typename __promote<_A1, _A2>::type
856 fmod(_A1 __x, _A2 __y) _NOEXCEPT
858 typedef typename __promote<_A1, _A2>::type __result_type;
859 static_assert((!(is_same<_A1, __result_type>::value &&
860 is_same<_A2, __result_type>::value)), "");
861 return fmod((__result_type)__x, (__result_type)__y);
871 inline _LIBCPP_INLINE_VISIBILITY float frexp(float __x, int* __e) _NOEXCEPT {return frexpf(__x, __e);}
872 inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __x, int* __e) _NOEXCEPT {return frexpl(__x, __e);}
876 inline _LIBCPP_INLINE_VISIBILITY
877 typename enable_if<is_integral<_A1>::value, double>::type
878 frexp(_A1 __x, int* __e) _NOEXCEPT {return frexp((double)__x, __e);}
886 inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __x, int __e) _NOEXCEPT {return ldexpf(__x, __e);}
887 inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __x, int __e) _NOEXCEPT {return ldexpl(__x, __e);}
891 inline _LIBCPP_INLINE_VISIBILITY
892 typename enable_if<is_integral<_A1>::value, double>::type
893 ldexp(_A1 __x, int __e) _NOEXCEPT {return ldexp((double)__x, __e);}
903 inline _LIBCPP_INLINE_VISIBILITY float log(float __x) _NOEXCEPT {return logf(__x);}
904 inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) _NOEXCEPT {return logl(__x);}
908 inline _LIBCPP_INLINE_VISIBILITY
909 typename enable_if<is_integral<_A1>::value, double>::type
910 log(_A1 __x) _NOEXCEPT {return log((double)__x);}
919 inline _LIBCPP_INLINE_VISIBILITY float log10(float __x) _NOEXCEPT {return log10f(__x);}
920 inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) _NOEXCEPT {return log10l(__x);}
924 inline _LIBCPP_INLINE_VISIBILITY
925 typename enable_if<is_integral<_A1>::value, double>::type
926 log10(_A1 __x) _NOEXCEPT {return log10((double)__x);}
934 inline _LIBCPP_INLINE_VISIBILITY float modf(float __x, float* __y) _NOEXCEPT {return modff(__x, __y);}
935 inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __x, long double* __y) _NOEXCEPT {return modfl(__x, __y);}
947 inline _LIBCPP_INLINE_VISIBILITY float pow(float __x, float __y) _NOEXCEPT {return powf(__x, __y);}
948 inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __x, long double __y) _NOEXCEPT {return powl(__x, __y);}
951 template <class _A1, class _A2>
952 inline _LIBCPP_INLINE_VISIBILITY
955 is_arithmetic<_A1>::value &&
956 is_arithmetic<_A2>::value,
957 typename __promote<_A1, _A2>::type
959 pow(_A1 __x, _A2 __y) _NOEXCEPT
961 typedef typename __promote<_A1, _A2>::type __result_type;
962 static_assert((!(is_same<_A1, __result_type>::value &&
963 is_same<_A2, __result_type>::value)), "");
964 return pow((__result_type)__x, (__result_type)__y);
974 inline _LIBCPP_INLINE_VISIBILITY float sin(float __x) _NOEXCEPT {return sinf(__x);}
975 inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) _NOEXCEPT {return sinl(__x);}
979 inline _LIBCPP_INLINE_VISIBILITY
980 typename enable_if<is_integral<_A1>::value, double>::type
981 sin(_A1 __x) _NOEXCEPT {return sin((double)__x);}
989 inline _LIBCPP_INLINE_VISIBILITY float sinh(float __x) _NOEXCEPT {return sinhf(__x);}
990 inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) _NOEXCEPT {return sinhl(__x);}
994 inline _LIBCPP_INLINE_VISIBILITY
995 typename enable_if<is_integral<_A1>::value, double>::type
996 sinh(_A1 __x) _NOEXCEPT {return sinh((double)__x);}
1005 #if !(defined(_MSC_VER) || defined(__sun__))
1006 inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __x) _NOEXCEPT {return sqrtf(__x);}
1007 inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) _NOEXCEPT {return sqrtl(__x);}
1010 template <class _A1>
1011 inline _LIBCPP_INLINE_VISIBILITY
1012 typename enable_if<is_integral<_A1>::value, double>::type
1013 sqrt(_A1 __x) _NOEXCEPT {return sqrt((double)__x);}
1022 inline _LIBCPP_INLINE_VISIBILITY float tan(float __x) _NOEXCEPT {return tanf(__x);}
1023 inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) _NOEXCEPT {return tanl(__x);}
1026 template <class _A1>
1027 inline _LIBCPP_INLINE_VISIBILITY
1028 typename enable_if<is_integral<_A1>::value, double>::type
1029 tan(_A1 __x) _NOEXCEPT {return tan((double)__x);}
1037 inline _LIBCPP_INLINE_VISIBILITY float tanh(float __x) _NOEXCEPT {return tanhf(__x);}
1038 inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) _NOEXCEPT {return tanhl(__x);}
1041 template <class _A1>
1042 inline _LIBCPP_INLINE_VISIBILITY
1043 typename enable_if<is_integral<_A1>::value, double>::type
1044 tanh(_A1 __x) _NOEXCEPT {return tanh((double)__x);}
1052 inline _LIBCPP_INLINE_VISIBILITY float acosh(float __x) _NOEXCEPT {return acoshf(__x);}
1053 inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __x) _NOEXCEPT {return acoshl(__x);}
1055 template <class _A1>
1056 inline _LIBCPP_INLINE_VISIBILITY
1057 typename enable_if<is_integral<_A1>::value, double>::type
1058 acosh(_A1 __x) _NOEXCEPT {return acosh((double)__x);}
1067 inline _LIBCPP_INLINE_VISIBILITY float asinh(float __x) _NOEXCEPT {return asinhf(__x);}
1068 inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __x) _NOEXCEPT {return asinhl(__x);}
1070 template <class _A1>
1071 inline _LIBCPP_INLINE_VISIBILITY
1072 typename enable_if<is_integral<_A1>::value, double>::type
1073 asinh(_A1 __x) _NOEXCEPT {return asinh((double)__x);}
1082 inline _LIBCPP_INLINE_VISIBILITY float atanh(float __x) _NOEXCEPT {return atanhf(__x);}
1083 inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __x) _NOEXCEPT {return atanhl(__x);}
1085 template <class _A1>
1086 inline _LIBCPP_INLINE_VISIBILITY
1087 typename enable_if<is_integral<_A1>::value, double>::type
1088 atanh(_A1 __x) _NOEXCEPT {return atanh((double)__x);}
1097 inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __x) _NOEXCEPT {return cbrtf(__x);}
1098 inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __x) _NOEXCEPT {return cbrtl(__x);}
1100 template <class _A1>
1101 inline _LIBCPP_INLINE_VISIBILITY
1102 typename enable_if<is_integral<_A1>::value, double>::type
1103 cbrt(_A1 __x) _NOEXCEPT {return cbrt((double)__x);}
1111 inline _LIBCPP_INLINE_VISIBILITY float copysign(float __x, float __y) _NOEXCEPT {return copysignf(__x, __y);}
1112 inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __x, long double __y) _NOEXCEPT {return copysignl(__x, __y);}
1114 template <class _A1, class _A2>
1115 inline _LIBCPP_INLINE_VISIBILITY
1118 is_arithmetic<_A1>::value &&
1119 is_arithmetic<_A2>::value,
1120 typename __promote<_A1, _A2>::type
1122 copysign(_A1 __x, _A2 __y) _NOEXCEPT
1124 typedef typename __promote<_A1, _A2>::type __result_type;
1125 static_assert((!(is_same<_A1, __result_type>::value &&
1126 is_same<_A2, __result_type>::value)), "");
1127 return copysign((__result_type)__x, (__result_type)__y);
1137 inline _LIBCPP_INLINE_VISIBILITY float erf(float __x) _NOEXCEPT {return erff(__x);}
1138 inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __x) _NOEXCEPT {return erfl(__x);}
1140 template <class _A1>
1141 inline _LIBCPP_INLINE_VISIBILITY
1142 typename enable_if<is_integral<_A1>::value, double>::type
1143 erf(_A1 __x) _NOEXCEPT {return erf((double)__x);}
1150 inline _LIBCPP_INLINE_VISIBILITY float erfc(float __x) _NOEXCEPT {return erfcf(__x);}
1151 inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __x) _NOEXCEPT {return erfcl(__x);}
1153 template <class _A1>
1154 inline _LIBCPP_INLINE_VISIBILITY
1155 typename enable_if<is_integral<_A1>::value, double>::type
1156 erfc(_A1 __x) _NOEXCEPT {return erfc((double)__x);}
1163 inline _LIBCPP_INLINE_VISIBILITY float exp2(float __x) _NOEXCEPT {return exp2f(__x);}
1164 inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __x) _NOEXCEPT {return exp2l(__x);}
1166 template <class _A1>
1167 inline _LIBCPP_INLINE_VISIBILITY
1168 typename enable_if<is_integral<_A1>::value, double>::type
1169 exp2(_A1 __x) _NOEXCEPT {return exp2((double)__x);}
1176 inline _LIBCPP_INLINE_VISIBILITY float expm1(float __x) _NOEXCEPT {return expm1f(__x);}
1177 inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __x) _NOEXCEPT {return expm1l(__x);}
1179 template <class _A1>
1180 inline _LIBCPP_INLINE_VISIBILITY
1181 typename enable_if<is_integral<_A1>::value, double>::type
1182 expm1(_A1 __x) _NOEXCEPT {return expm1((double)__x);}
1189 inline _LIBCPP_INLINE_VISIBILITY float fdim(float __x, float __y) _NOEXCEPT {return fdimf(__x, __y);}
1190 inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __x, long double __y) _NOEXCEPT {return fdiml(__x, __y);}
1192 template <class _A1, class _A2>
1193 inline _LIBCPP_INLINE_VISIBILITY
1196 is_arithmetic<_A1>::value &&
1197 is_arithmetic<_A2>::value,
1198 typename __promote<_A1, _A2>::type
1200 fdim(_A1 __x, _A2 __y) _NOEXCEPT
1202 typedef typename __promote<_A1, _A2>::type __result_type;
1203 static_assert((!(is_same<_A1, __result_type>::value &&
1204 is_same<_A2, __result_type>::value)), "");
1205 return fdim((__result_type)__x, (__result_type)__y);
1210 inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) _NOEXCEPT {return (float)((double)__x*__y + __z);}
1211 #ifndef FP_FAST_FMAF
1212 #define FP_FAST_FMAF
1217 inline _LIBCPP_INLINE_VISIBILITY float fma(float __x, float __y, float __z) _NOEXCEPT {return fmaf(__x, __y, __z);}
1218 inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __x, long double __y, long double __z) _NOEXCEPT {return fmal(__x, __y, __z);}
1220 template <class _A1, class _A2, class _A3>
1221 inline _LIBCPP_INLINE_VISIBILITY
1224 is_arithmetic<_A1>::value &&
1225 is_arithmetic<_A2>::value &&
1226 is_arithmetic<_A3>::value,
1227 typename __promote<_A1, _A2, _A3>::type
1229 fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
1231 typedef typename __promote<_A1, _A2, _A3>::type __result_type;
1232 static_assert((!(is_same<_A1, __result_type>::value &&
1233 is_same<_A2, __result_type>::value &&
1234 is_same<_A3, __result_type>::value)), "");
1235 return fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
1243 inline _LIBCPP_INLINE_VISIBILITY float fmax(float __x, float __y) _NOEXCEPT {return fmaxf(__x, __y);}
1244 inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __x, long double __y) _NOEXCEPT {return fmaxl(__x, __y);}
1246 template <class _A1, class _A2>
1247 inline _LIBCPP_INLINE_VISIBILITY
1250 is_arithmetic<_A1>::value &&
1251 is_arithmetic<_A2>::value,
1252 typename __promote<_A1, _A2>::type
1254 fmax(_A1 __x, _A2 __y) _NOEXCEPT
1256 typedef typename __promote<_A1, _A2>::type __result_type;
1257 static_assert((!(is_same<_A1, __result_type>::value &&
1258 is_same<_A2, __result_type>::value)), "");
1259 return fmax((__result_type)__x, (__result_type)__y);
1267 inline _LIBCPP_INLINE_VISIBILITY float fmin(float __x, float __y) _NOEXCEPT {return fminf(__x, __y);}
1268 inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __x, long double __y) _NOEXCEPT {return fminl(__x, __y);}
1270 template <class _A1, class _A2>
1271 inline _LIBCPP_INLINE_VISIBILITY
1274 is_arithmetic<_A1>::value &&
1275 is_arithmetic<_A2>::value,
1276 typename __promote<_A1, _A2>::type
1278 fmin(_A1 __x, _A2 __y) _NOEXCEPT
1280 typedef typename __promote<_A1, _A2>::type __result_type;
1281 static_assert((!(is_same<_A1, __result_type>::value &&
1282 is_same<_A2, __result_type>::value)), "");
1283 return fmin((__result_type)__x, (__result_type)__y);
1291 inline _LIBCPP_INLINE_VISIBILITY float hypot(float __x, float __y) _NOEXCEPT {return hypotf(__x, __y);}
1292 inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __x, long double __y) _NOEXCEPT {return hypotl(__x, __y);}
1294 template <class _A1, class _A2>
1295 inline _LIBCPP_INLINE_VISIBILITY
1298 is_arithmetic<_A1>::value &&
1299 is_arithmetic<_A2>::value,
1300 typename __promote<_A1, _A2>::type
1302 hypot(_A1 __x, _A2 __y) _NOEXCEPT
1304 typedef typename __promote<_A1, _A2>::type __result_type;
1305 static_assert((!(is_same<_A1, __result_type>::value &&
1306 is_same<_A2, __result_type>::value)), "");
1307 return hypot((__result_type)__x, (__result_type)__y);
1315 inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __x) _NOEXCEPT {return ilogbf(__x);}
1316 inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __x) _NOEXCEPT {return ilogbl(__x);}
1318 template <class _A1>
1319 inline _LIBCPP_INLINE_VISIBILITY
1320 typename enable_if<is_integral<_A1>::value, int>::type
1321 ilogb(_A1 __x) _NOEXCEPT {return ilogb((double)__x);}
1328 inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __x) _NOEXCEPT {return lgammaf(__x);}
1329 inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __x) _NOEXCEPT {return lgammal(__x);}
1332 template <class _A1>
1333 inline _LIBCPP_INLINE_VISIBILITY
1334 typename enable_if<is_integral<_A1>::value, double>::type
1335 lgamma(_A1 __x) _NOEXCEPT {return lgamma((double)__x);}
1343 inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __x) _NOEXCEPT {return llrintf(__x);}
1344 inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __x) _NOEXCEPT {return llrintl(__x);}
1346 template <class _A1>
1347 inline _LIBCPP_INLINE_VISIBILITY
1348 typename enable_if<is_integral<_A1>::value, long long>::type
1349 llrint(_A1 __x) _NOEXCEPT {return llrint((double)__x);}
1356 inline _LIBCPP_INLINE_VISIBILITY long long llround(float __x) _NOEXCEPT {return llroundf(__x);}
1357 inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __x) _NOEXCEPT {return llroundl(__x);}
1359 template <class _A1>
1360 inline _LIBCPP_INLINE_VISIBILITY
1361 typename enable_if<is_integral<_A1>::value, long long>::type
1362 llround(_A1 __x) _NOEXCEPT {return llround((double)__x);}
1369 inline _LIBCPP_INLINE_VISIBILITY float log1p(float __x) _NOEXCEPT {return log1pf(__x);}
1370 inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __x) _NOEXCEPT {return log1pl(__x);}
1372 template <class _A1>
1373 inline _LIBCPP_INLINE_VISIBILITY
1374 typename enable_if<is_integral<_A1>::value, double>::type
1375 log1p(_A1 __x) _NOEXCEPT {return log1p((double)__x);}
1382 inline _LIBCPP_INLINE_VISIBILITY float log2(float __x) _NOEXCEPT {return log2f(__x);}
1383 inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __x) _NOEXCEPT {return log2l(__x);}
1385 template <class _A1>
1386 inline _LIBCPP_INLINE_VISIBILITY
1387 typename enable_if<is_integral<_A1>::value, double>::type
1388 log2(_A1 __x) _NOEXCEPT {return log2((double)__x);}
1395 inline _LIBCPP_INLINE_VISIBILITY float logb(float __x) _NOEXCEPT {return logbf(__x);}
1396 inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __x) _NOEXCEPT {return logbl(__x);}
1398 template <class _A1>
1399 inline _LIBCPP_INLINE_VISIBILITY
1400 typename enable_if<is_integral<_A1>::value, double>::type
1401 logb(_A1 __x) _NOEXCEPT {return logb((double)__x);}
1408 inline _LIBCPP_INLINE_VISIBILITY long lrint(float __x) _NOEXCEPT {return lrintf(__x);}
1409 inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __x) _NOEXCEPT {return lrintl(__x);}
1411 template <class _A1>
1412 inline _LIBCPP_INLINE_VISIBILITY
1413 typename enable_if<is_integral<_A1>::value, long>::type
1414 lrint(_A1 __x) _NOEXCEPT {return lrint((double)__x);}
1421 inline _LIBCPP_INLINE_VISIBILITY long lround(float __x) _NOEXCEPT {return lroundf(__x);}
1422 inline _LIBCPP_INLINE_VISIBILITY long lround(long double __x) _NOEXCEPT {return lroundl(__x);}
1424 template <class _A1>
1425 inline _LIBCPP_INLINE_VISIBILITY
1426 typename enable_if<is_integral<_A1>::value, long>::type
1427 lround(_A1 __x) _NOEXCEPT {return lround((double)__x);}
1442 inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __x) _NOEXCEPT {return nearbyintf(__x);}
1443 inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __x) _NOEXCEPT {return nearbyintl(__x);}
1445 template <class _A1>
1446 inline _LIBCPP_INLINE_VISIBILITY
1447 typename enable_if<is_integral<_A1>::value, double>::type
1448 nearbyint(_A1 __x) _NOEXCEPT {return nearbyint((double)__x);}
1455 inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __x, float __y) _NOEXCEPT {return nextafterf(__x, __y);}
1456 inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __x, long double __y) _NOEXCEPT {return nextafterl(__x, __y);}
1458 template <class _A1, class _A2>
1459 inline _LIBCPP_INLINE_VISIBILITY
1462 is_arithmetic<_A1>::value &&
1463 is_arithmetic<_A2>::value,
1464 typename __promote<_A1, _A2>::type
1466 nextafter(_A1 __x, _A2 __y) _NOEXCEPT
1468 typedef typename __promote<_A1, _A2>::type __result_type;
1469 static_assert((!(is_same<_A1, __result_type>::value &&
1470 is_same<_A2, __result_type>::value)), "");
1471 return nextafter((__result_type)__x, (__result_type)__y);
1477 using ::nexttowardf;
1479 inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __x, long double __y) _NOEXCEPT {return nexttowardf(__x, __y);}
1480 inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __x, long double __y) _NOEXCEPT {return nexttowardl(__x, __y);}
1482 template <class _A1>
1483 inline _LIBCPP_INLINE_VISIBILITY
1484 typename enable_if<is_integral<_A1>::value, double>::type
1485 nexttoward(_A1 __x, long double __y) _NOEXCEPT {return nexttoward((double)__x, __y);}
1492 inline _LIBCPP_INLINE_VISIBILITY float remainder(float __x, float __y) _NOEXCEPT {return remainderf(__x, __y);}
1493 inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __x, long double __y) _NOEXCEPT {return remainderl(__x, __y);}
1495 template <class _A1, class _A2>
1496 inline _LIBCPP_INLINE_VISIBILITY
1499 is_arithmetic<_A1>::value &&
1500 is_arithmetic<_A2>::value,
1501 typename __promote<_A1, _A2>::type
1503 remainder(_A1 __x, _A2 __y) _NOEXCEPT
1505 typedef typename __promote<_A1, _A2>::type __result_type;
1506 static_assert((!(is_same<_A1, __result_type>::value &&
1507 is_same<_A2, __result_type>::value)), "");
1508 return remainder((__result_type)__x, (__result_type)__y);
1516 inline _LIBCPP_INLINE_VISIBILITY float remquo(float __x, float __y, int* __z) _NOEXCEPT {return remquof(__x, __y, __z);}
1517 inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return remquol(__x, __y, __z);}
1519 template <class _A1, class _A2>
1520 inline _LIBCPP_INLINE_VISIBILITY
1523 is_arithmetic<_A1>::value &&
1524 is_arithmetic<_A2>::value,
1525 typename __promote<_A1, _A2>::type
1527 remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
1529 typedef typename __promote<_A1, _A2>::type __result_type;
1530 static_assert((!(is_same<_A1, __result_type>::value &&
1531 is_same<_A2, __result_type>::value)), "");
1532 return remquo((__result_type)__x, (__result_type)__y, __z);
1540 inline _LIBCPP_INLINE_VISIBILITY float rint(float __x) _NOEXCEPT {return rintf(__x);}
1541 inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __x) _NOEXCEPT {return rintl(__x);}
1543 template <class _A1>
1544 inline _LIBCPP_INLINE_VISIBILITY
1545 typename enable_if<is_integral<_A1>::value, double>::type
1546 rint(_A1 __x) _NOEXCEPT {return rint((double)__x);}
1553 inline _LIBCPP_INLINE_VISIBILITY float round(float __x) _NOEXCEPT {return roundf(__x);}
1554 inline _LIBCPP_INLINE_VISIBILITY long double round(long double __x) _NOEXCEPT {return roundl(__x);}
1556 template <class _A1>
1557 inline _LIBCPP_INLINE_VISIBILITY
1558 typename enable_if<is_integral<_A1>::value, double>::type
1559 round(_A1 __x) _NOEXCEPT {return round((double)__x);}
1566 inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __x, long __y) _NOEXCEPT {return scalblnf(__x, __y);}
1567 inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __x, long __y) _NOEXCEPT {return scalblnl(__x, __y);}
1569 template <class _A1>
1570 inline _LIBCPP_INLINE_VISIBILITY
1571 typename enable_if<is_integral<_A1>::value, double>::type
1572 scalbln(_A1 __x, long __y) _NOEXCEPT {return scalbln((double)__x, __y);}
1579 inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __x, int __y) _NOEXCEPT {return scalbnf(__x, __y);}
1580 inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __x, int __y) _NOEXCEPT {return scalbnl(__x, __y);}
1582 template <class _A1>
1583 inline _LIBCPP_INLINE_VISIBILITY
1584 typename enable_if<is_integral<_A1>::value, double>::type
1585 scalbn(_A1 __x, int __y) _NOEXCEPT {return scalbn((double)__x, __y);}
1592 inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __x) _NOEXCEPT {return tgammaf(__x);}
1593 inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __x) _NOEXCEPT {return tgammal(__x);}
1595 template <class _A1>
1596 inline _LIBCPP_INLINE_VISIBILITY
1597 typename enable_if<is_integral<_A1>::value, double>::type
1598 tgamma(_A1 __x) _NOEXCEPT {return tgamma((double)__x);}
1605 inline _LIBCPP_INLINE_VISIBILITY float trunc(float __x) _NOEXCEPT {return truncf(__x);}
1606 inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __x) _NOEXCEPT {return truncl(__x);}
1608 template <class _A1>
1609 inline _LIBCPP_INLINE_VISIBILITY
1610 typename enable_if<is_integral<_A1>::value, double>::type
1611 trunc(_A1 __x) _NOEXCEPT {return trunc((double)__x);}
1666 using ::nexttowardl;
1681 _LIBCPP_END_NAMESPACE_STD
1683 #endif // _LIBCPP_CMATH