forked from OSchip/llvm-project
				
			
		
			
				
	
	
		
			1575 lines
		
	
	
		
			50 KiB
		
	
	
	
		
			C++
		
	
	
	
			
		
		
	
	
			1575 lines
		
	
	
		
			50 KiB
		
	
	
	
		
			C++
		
	
	
	
// -*- C++ -*-
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//===---------------------------- math.h ----------------------------------===//
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//
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// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
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// See https://llvm.org/LICENSE.txt for license information.
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// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
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//
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//===----------------------------------------------------------------------===//
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#ifndef _LIBCPP_MATH_H
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#define _LIBCPP_MATH_H
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/*
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    math.h synopsis
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Macros:
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    HUGE_VAL
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    HUGE_VALF               // C99
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    HUGE_VALL               // C99
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    INFINITY                // C99
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    NAN                     // C99
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    FP_INFINITE             // C99
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    FP_NAN                  // C99
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    FP_NORMAL               // C99
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    FP_SUBNORMAL            // C99
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    FP_ZERO                 // C99
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    FP_FAST_FMA             // C99
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    FP_FAST_FMAF            // C99
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    FP_FAST_FMAL            // C99
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    FP_ILOGB0               // C99
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    FP_ILOGBNAN             // C99
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    MATH_ERRNO              // C99
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    MATH_ERREXCEPT          // C99
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    math_errhandling        // C99
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Types:
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    float_t                 // C99
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    double_t                // C99
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// C90
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floating_point abs(floating_point x);
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floating_point acos (arithmetic x);
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float          acosf(float x);
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long double    acosl(long double x);
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floating_point asin (arithmetic x);
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float          asinf(float x);
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long double    asinl(long double x);
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floating_point atan (arithmetic x);
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float          atanf(float x);
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long double    atanl(long double x);
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floating_point atan2 (arithmetic y, arithmetic x);
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float          atan2f(float y, float x);
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long double    atan2l(long double y, long double x);
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floating_point ceil (arithmetic x);
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float          ceilf(float x);
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long double    ceill(long double x);
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floating_point cos (arithmetic x);
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float          cosf(float x);
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long double    cosl(long double x);
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floating_point cosh (arithmetic x);
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float          coshf(float x);
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long double    coshl(long double x);
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floating_point exp (arithmetic x);
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float          expf(float x);
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long double    expl(long double x);
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floating_point fabs (arithmetic x);
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float          fabsf(float x);
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long double    fabsl(long double x);
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floating_point floor (arithmetic x);
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float          floorf(float x);
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long double    floorl(long double x);
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floating_point fmod (arithmetic x, arithmetic y);
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float          fmodf(float x, float y);
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long double    fmodl(long double x, long double y);
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floating_point frexp (arithmetic value, int* exp);
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float          frexpf(float value, int* exp);
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long double    frexpl(long double value, int* exp);
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floating_point ldexp (arithmetic value, int exp);
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float          ldexpf(float value, int exp);
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long double    ldexpl(long double value, int exp);
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floating_point log (arithmetic x);
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float          logf(float x);
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long double    logl(long double x);
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floating_point log10 (arithmetic x);
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float          log10f(float x);
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long double    log10l(long double x);
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floating_point modf (floating_point value, floating_point* iptr);
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float          modff(float value, float* iptr);
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long double    modfl(long double value, long double* iptr);
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floating_point pow (arithmetic x, arithmetic y);
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float          powf(float x, float y);
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long double    powl(long double x, long double y);
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floating_point sin (arithmetic x);
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float          sinf(float x);
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long double    sinl(long double x);
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floating_point sinh (arithmetic x);
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float          sinhf(float x);
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long double    sinhl(long double x);
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floating_point sqrt (arithmetic x);
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float          sqrtf(float x);
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long double    sqrtl(long double x);
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floating_point tan (arithmetic x);
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float          tanf(float x);
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long double    tanl(long double x);
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floating_point tanh (arithmetic x);
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float          tanhf(float x);
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long double    tanhl(long double x);
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//  C99
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bool signbit(arithmetic x);
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int fpclassify(arithmetic x);
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bool isfinite(arithmetic x);
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bool isinf(arithmetic x);
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bool isnan(arithmetic x);
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bool isnormal(arithmetic x);
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bool isgreater(arithmetic x, arithmetic y);
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bool isgreaterequal(arithmetic x, arithmetic y);
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bool isless(arithmetic x, arithmetic y);
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bool islessequal(arithmetic x, arithmetic y);
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bool islessgreater(arithmetic x, arithmetic y);
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bool isunordered(arithmetic x, arithmetic y);
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floating_point acosh (arithmetic x);
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float          acoshf(float x);
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long double    acoshl(long double x);
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floating_point asinh (arithmetic x);
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float          asinhf(float x);
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long double    asinhl(long double x);
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floating_point atanh (arithmetic x);
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float          atanhf(float x);
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long double    atanhl(long double x);
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floating_point cbrt (arithmetic x);
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float          cbrtf(float x);
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long double    cbrtl(long double x);
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floating_point copysign (arithmetic x, arithmetic y);
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float          copysignf(float x, float y);
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long double    copysignl(long double x, long double y);
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floating_point erf (arithmetic x);
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float          erff(float x);
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long double    erfl(long double x);
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floating_point erfc (arithmetic x);
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float          erfcf(float x);
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long double    erfcl(long double x);
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floating_point exp2 (arithmetic x);
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float          exp2f(float x);
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long double    exp2l(long double x);
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floating_point expm1 (arithmetic x);
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float          expm1f(float x);
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long double    expm1l(long double x);
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floating_point fdim (arithmetic x, arithmetic y);
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float          fdimf(float x, float y);
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long double    fdiml(long double x, long double y);
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floating_point fma (arithmetic x, arithmetic y, arithmetic z);
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float          fmaf(float x, float y, float z);
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long double    fmal(long double x, long double y, long double z);
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floating_point fmax (arithmetic x, arithmetic y);
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float          fmaxf(float x, float y);
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long double    fmaxl(long double x, long double y);
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floating_point fmin (arithmetic x, arithmetic y);
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float          fminf(float x, float y);
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long double    fminl(long double x, long double y);
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floating_point hypot (arithmetic x, arithmetic y);
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float          hypotf(float x, float y);
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long double    hypotl(long double x, long double y);
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int ilogb (arithmetic x);
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int ilogbf(float x);
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int ilogbl(long double x);
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floating_point lgamma (arithmetic x);
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float          lgammaf(float x);
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long double    lgammal(long double x);
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long long llrint (arithmetic x);
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long long llrintf(float x);
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long long llrintl(long double x);
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long long llround (arithmetic x);
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long long llroundf(float x);
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long long llroundl(long double x);
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floating_point log1p (arithmetic x);
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float          log1pf(float x);
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long double    log1pl(long double x);
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floating_point log2 (arithmetic x);
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float          log2f(float x);
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long double    log2l(long double x);
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floating_point logb (arithmetic x);
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float          logbf(float x);
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long double    logbl(long double x);
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long lrint (arithmetic x);
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long lrintf(float x);
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long lrintl(long double x);
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long lround (arithmetic x);
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long lroundf(float x);
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long lroundl(long double x);
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double      nan (const char* str);
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float       nanf(const char* str);
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long double nanl(const char* str);
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floating_point nearbyint (arithmetic x);
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float          nearbyintf(float x);
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long double    nearbyintl(long double x);
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floating_point nextafter (arithmetic x, arithmetic y);
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float          nextafterf(float x, float y);
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long double    nextafterl(long double x, long double y);
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floating_point nexttoward (arithmetic x, long double y);
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float          nexttowardf(float x, long double y);
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long double    nexttowardl(long double x, long double y);
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floating_point remainder (arithmetic x, arithmetic y);
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float          remainderf(float x, float y);
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long double    remainderl(long double x, long double y);
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floating_point remquo (arithmetic x, arithmetic y, int* pquo);
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float          remquof(float x, float y, int* pquo);
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long double    remquol(long double x, long double y, int* pquo);
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floating_point rint (arithmetic x);
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float          rintf(float x);
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long double    rintl(long double x);
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floating_point round (arithmetic x);
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float          roundf(float x);
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long double    roundl(long double x);
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floating_point scalbln (arithmetic x, long ex);
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float          scalblnf(float x, long ex);
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long double    scalblnl(long double x, long ex);
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floating_point scalbn (arithmetic x, int ex);
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float          scalbnf(float x, int ex);
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long double    scalbnl(long double x, int ex);
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floating_point tgamma (arithmetic x);
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float          tgammaf(float x);
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long double    tgammal(long double x);
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floating_point trunc (arithmetic x);
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float          truncf(float x);
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long double    truncl(long double x);
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*/
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#include <__config>
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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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#pragma GCC system_header
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#endif
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#define _LIBCPP_STDLIB_INCLUDE_NEXT
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#include <stdlib.h>
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#include_next <math.h>
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#ifdef __cplusplus
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// We support including .h headers inside 'extern "C"' contexts, so switch
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// back to C++ linkage before including these C++ headers.
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extern "C++" {
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#include <type_traits>
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#include <limits>
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// signbit
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#ifdef signbit
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template <class _A1>
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_LIBCPP_INLINE_VISIBILITY
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bool
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__libcpp_signbit(_A1 __lcpp_x) _NOEXCEPT
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{
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    return signbit(__lcpp_x);
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}
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#undef signbit
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
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signbit(_A1 __lcpp_x) _NOEXCEPT
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{
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    return __libcpp_signbit((typename std::__promote<_A1>::type)__lcpp_x);
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}
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<
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    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
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signbit(_A1 __lcpp_x) _NOEXCEPT
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{ return __lcpp_x < 0; }
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<
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    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
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signbit(_A1) _NOEXCEPT
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{ return false; }
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#elif defined(_LIBCPP_MSVCRT)
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template <typename _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
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signbit(_A1 __lcpp_x) _NOEXCEPT
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{
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  return ::signbit(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
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}
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<
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    std::is_integral<_A1>::value && std::is_signed<_A1>::value, bool>::type
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signbit(_A1 __lcpp_x) _NOEXCEPT
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{ return __lcpp_x < 0; }
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
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typename std::enable_if<
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    std::is_integral<_A1>::value && !std::is_signed<_A1>::value, bool>::type
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signbit(_A1) _NOEXCEPT
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{ return false; }
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#endif  // signbit
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// fpclassify
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#ifdef fpclassify
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template <class _A1>
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_LIBCPP_INLINE_VISIBILITY
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int
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__libcpp_fpclassify(_A1 __lcpp_x) _NOEXCEPT
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{
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    return fpclassify(__lcpp_x);
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}
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#undef fpclassify
 | 
						|
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template <class _A1>
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inline _LIBCPP_INLINE_VISIBILITY
 | 
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typename std::enable_if<std::is_floating_point<_A1>::value, int>::type
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fpclassify(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return __libcpp_fpclassify((typename std::__promote<_A1>::type)__lcpp_x);
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						|
}
 | 
						|
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						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, int>::type
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						|
fpclassify(_A1 __lcpp_x) _NOEXCEPT
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						|
{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
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						|
 | 
						|
#elif defined(_LIBCPP_MSVCRT)
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						|
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						|
template <typename _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 | 
						|
fpclassify(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
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						|
  return ::fpclassify(static_cast<typename std::__promote<_A1>::type>(__lcpp_x));
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, int>::type
 | 
						|
fpclassify(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{ return __lcpp_x == 0 ? FP_ZERO : FP_NORMAL; }
 | 
						|
 | 
						|
#endif  // fpclassify
 | 
						|
 | 
						|
// isfinite
 | 
						|
 | 
						|
#ifdef isfinite
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isfinite(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
#undef isfinite
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<
 | 
						|
    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
 | 
						|
    bool>::type
 | 
						|
isfinite(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return __libcpp_isfinite((typename std::__promote<_A1>::type)__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<
 | 
						|
    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
 | 
						|
    bool>::type
 | 
						|
isfinite(_A1) _NOEXCEPT
 | 
						|
{ return true; }
 | 
						|
 | 
						|
#endif  // isfinite
 | 
						|
 | 
						|
// isinf
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						|
 | 
						|
#ifdef isinf
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						|
 | 
						|
template <class _A1>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isinf(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
#undef isinf
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<
 | 
						|
    std::is_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
 | 
						|
    bool>::type
 | 
						|
isinf(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return __libcpp_isinf((typename std::__promote<_A1>::type)__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<
 | 
						|
    std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
 | 
						|
    bool>::type
 | 
						|
isinf(_A1) _NOEXCEPT
 | 
						|
{ return false; }
 | 
						|
 | 
						|
#ifdef _LIBCPP_PREFERRED_OVERLOAD
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
isinf(float __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
 | 
						|
bool
 | 
						|
isinf(double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
isinf(long double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
 | 
						|
#endif
 | 
						|
 | 
						|
#endif  // isinf
 | 
						|
 | 
						|
// isnan
 | 
						|
 | 
						|
#ifdef isnan
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isnan(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
#undef isnan
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 | 
						|
isnan(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return __libcpp_isnan((typename std::__promote<_A1>::type)__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, bool>::type
 | 
						|
isnan(_A1) _NOEXCEPT
 | 
						|
{ return false; }
 | 
						|
 | 
						|
#ifdef _LIBCPP_PREFERRED_OVERLOAD
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
isnan(float __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
 | 
						|
bool
 | 
						|
isnan(double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
isnan(long double __lcpp_x) _NOEXCEPT { return __libcpp_isnan(__lcpp_x); }
 | 
						|
#endif
 | 
						|
 | 
						|
#endif  // isnan
 | 
						|
 | 
						|
// isnormal
 | 
						|
 | 
						|
#ifdef isnormal
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isnormal(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isnormal(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
#undef isnormal
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
 | 
						|
isnormal(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    return __libcpp_isnormal((typename std::__promote<_A1>::type)__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, bool>::type
 | 
						|
isnormal(_A1 __lcpp_x) _NOEXCEPT
 | 
						|
{ return __lcpp_x != 0; }
 | 
						|
 | 
						|
#endif  // isnormal
 | 
						|
 | 
						|
// isgreater
 | 
						|
 | 
						|
#ifdef isgreater
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isgreater(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef isgreater
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
isgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_isgreater((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // isgreater
 | 
						|
 | 
						|
// isgreaterequal
 | 
						|
 | 
						|
#ifdef isgreaterequal
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isgreaterequal(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef isgreaterequal
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
isgreaterequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_isgreaterequal((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // isgreaterequal
 | 
						|
 | 
						|
// isless
 | 
						|
 | 
						|
#ifdef isless
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isless(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef isless
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
isless(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_isless((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // isless
 | 
						|
 | 
						|
// islessequal
 | 
						|
 | 
						|
#ifdef islessequal
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return islessequal(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef islessequal
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
islessequal(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_islessequal((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // islessequal
 | 
						|
 | 
						|
// islessgreater
 | 
						|
 | 
						|
#ifdef islessgreater
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return islessgreater(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef islessgreater
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
islessgreater(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_islessgreater((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // islessgreater
 | 
						|
 | 
						|
// isunordered
 | 
						|
 | 
						|
#ifdef isunordered
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
_LIBCPP_INLINE_VISIBILITY
 | 
						|
bool
 | 
						|
__libcpp_isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    return isunordered(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#undef isunordered
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    bool
 | 
						|
>::type
 | 
						|
isunordered(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type type;
 | 
						|
    return __libcpp_isunordered((type)__lcpp_x, (type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
#endif  // isunordered
 | 
						|
 | 
						|
// abs
 | 
						|
 | 
						|
#undef abs
 | 
						|
#undef labs
 | 
						|
#ifndef _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
#undef llabs
 | 
						|
#endif
 | 
						|
 | 
						|
// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
 | 
						|
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long abs(long __x) _NOEXCEPT {
 | 
						|
  return ::labs(__x);
 | 
						|
}
 | 
						|
#ifndef _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long long abs(long long __x) _NOEXCEPT {
 | 
						|
  return ::llabs(__x);
 | 
						|
}
 | 
						|
#endif // _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
#endif // !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
 | 
						|
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float abs(float __lcpp_x) _NOEXCEPT {
 | 
						|
  return ::fabsf(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY double abs(double __lcpp_x) _NOEXCEPT {
 | 
						|
  return ::fabs(__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double
 | 
						|
abs(long double __lcpp_x) _NOEXCEPT {
 | 
						|
  return ::fabsl(__lcpp_x);
 | 
						|
}
 | 
						|
#endif // !(defined(_AIX) || defined(__sun__))
 | 
						|
 | 
						|
// div
 | 
						|
 | 
						|
#undef div
 | 
						|
#undef ldiv
 | 
						|
#ifndef _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
#undef lldiv
 | 
						|
#endif
 | 
						|
 | 
						|
// MSVCRT already has the correct prototype in <stdlib.h> if __cplusplus is defined
 | 
						|
#if !defined(_LIBCPP_MSVCRT) && !defined(__sun__) && !defined(_AIX)
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY ldiv_t div(long __x, long __y) _NOEXCEPT {
 | 
						|
  return ::ldiv(__x, __y);
 | 
						|
}
 | 
						|
#ifndef _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY lldiv_t div(long long __x,
 | 
						|
                                             long long __y) _NOEXCEPT {
 | 
						|
  return ::lldiv(__x, __y);
 | 
						|
}
 | 
						|
#endif // _LIBCPP_HAS_NO_LONG_LONG
 | 
						|
#endif // _LIBCPP_MSVCRT / __sun__ / _AIX
 | 
						|
 | 
						|
// acos
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       acos(float __lcpp_x) _NOEXCEPT       {return ::acosf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __lcpp_x) _NOEXCEPT {return ::acosl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
acos(_A1 __lcpp_x) _NOEXCEPT {return ::acos((double)__lcpp_x);}
 | 
						|
 | 
						|
// asin
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       asin(float __lcpp_x) _NOEXCEPT       {return ::asinf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __lcpp_x) _NOEXCEPT {return ::asinl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
asin(_A1 __lcpp_x) _NOEXCEPT {return ::asin((double)__lcpp_x);}
 | 
						|
 | 
						|
// atan
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       atan(float __lcpp_x) _NOEXCEPT       {return ::atanf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __lcpp_x) _NOEXCEPT {return ::atanl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
atan(_A1 __lcpp_x) _NOEXCEPT {return ::atan((double)__lcpp_x);}
 | 
						|
 | 
						|
// atan2
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       atan2(float __lcpp_y, float __lcpp_x) _NOEXCEPT             {return ::atan2f(__lcpp_y, __lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __lcpp_y, long double __lcpp_x) _NOEXCEPT {return ::atan2l(__lcpp_y, __lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
atan2(_A1 __lcpp_y, _A2 __lcpp_x) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::atan2((__result_type)__lcpp_y, (__result_type)__lcpp_x);
 | 
						|
}
 | 
						|
 | 
						|
// ceil
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       ceil(float __lcpp_x) _NOEXCEPT       {return ::ceilf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __lcpp_x) _NOEXCEPT {return ::ceill(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
ceil(_A1 __lcpp_x) _NOEXCEPT {return ::ceil((double)__lcpp_x);}
 | 
						|
 | 
						|
// cos
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       cos(float __lcpp_x) _NOEXCEPT       {return ::cosf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __lcpp_x) _NOEXCEPT {return ::cosl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
cos(_A1 __lcpp_x) _NOEXCEPT {return ::cos((double)__lcpp_x);}
 | 
						|
 | 
						|
// cosh
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       cosh(float __lcpp_x) _NOEXCEPT       {return ::coshf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __lcpp_x) _NOEXCEPT {return ::coshl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
cosh(_A1 __lcpp_x) _NOEXCEPT {return ::cosh((double)__lcpp_x);}
 | 
						|
 | 
						|
// exp
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       exp(float __lcpp_x) _NOEXCEPT       {return ::expf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __lcpp_x) _NOEXCEPT {return ::expl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
exp(_A1 __lcpp_x) _NOEXCEPT {return ::exp((double)__lcpp_x);}
 | 
						|
 | 
						|
// fabs
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fabs(float __lcpp_x) _NOEXCEPT       {return ::fabsf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __lcpp_x) _NOEXCEPT {return ::fabsl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
fabs(_A1 __lcpp_x) _NOEXCEPT {return ::fabs((double)__lcpp_x);}
 | 
						|
 | 
						|
// floor
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       floor(float __lcpp_x) _NOEXCEPT       {return ::floorf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __lcpp_x) _NOEXCEPT {return ::floorl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
floor(_A1 __lcpp_x) _NOEXCEPT {return ::floor((double)__lcpp_x);}
 | 
						|
 | 
						|
// fmod
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fmod(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmodf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmodl(__lcpp_x, __lcpp_y);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
fmod(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::fmod((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// frexp
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       frexp(float __lcpp_x, int* __lcpp_e) _NOEXCEPT       {return ::frexpf(__lcpp_x, __lcpp_e);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexpl(__lcpp_x, __lcpp_e);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
frexp(_A1 __lcpp_x, int* __lcpp_e) _NOEXCEPT {return ::frexp((double)__lcpp_x, __lcpp_e);}
 | 
						|
 | 
						|
// ldexp
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       ldexp(float __lcpp_x, int __lcpp_e) _NOEXCEPT       {return ::ldexpf(__lcpp_x, __lcpp_e);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexpl(__lcpp_x, __lcpp_e);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
ldexp(_A1 __lcpp_x, int __lcpp_e) _NOEXCEPT {return ::ldexp((double)__lcpp_x, __lcpp_e);}
 | 
						|
 | 
						|
// log
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       log(float __lcpp_x) _NOEXCEPT       {return ::logf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double log(long double __lcpp_x) _NOEXCEPT {return ::logl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
log(_A1 __lcpp_x) _NOEXCEPT {return ::log((double)__lcpp_x);}
 | 
						|
 | 
						|
// log10
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       log10(float __lcpp_x) _NOEXCEPT       {return ::log10f(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __lcpp_x) _NOEXCEPT {return ::log10l(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
log10(_A1 __lcpp_x) _NOEXCEPT {return ::log10((double)__lcpp_x);}
 | 
						|
 | 
						|
// modf
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       modf(float __lcpp_x, float* __lcpp_y) _NOEXCEPT             {return ::modff(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __lcpp_x, long double* __lcpp_y) _NOEXCEPT {return ::modfl(__lcpp_x, __lcpp_y);}
 | 
						|
#endif
 | 
						|
 | 
						|
// pow
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       pow(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::powf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::powl(__lcpp_x, __lcpp_y);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
pow(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::pow((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// sin
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       sin(float __lcpp_x) _NOEXCEPT       {return ::sinf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __lcpp_x) _NOEXCEPT {return ::sinl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
sin(_A1 __lcpp_x) _NOEXCEPT {return ::sin((double)__lcpp_x);}
 | 
						|
 | 
						|
// sinh
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       sinh(float __lcpp_x) _NOEXCEPT       {return ::sinhf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __lcpp_x) _NOEXCEPT {return ::sinhl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
sinh(_A1 __lcpp_x) _NOEXCEPT {return ::sinh((double)__lcpp_x);}
 | 
						|
 | 
						|
// sqrt
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       sqrt(float __lcpp_x) _NOEXCEPT       {return ::sqrtf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __lcpp_x) _NOEXCEPT {return ::sqrtl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
sqrt(_A1 __lcpp_x) _NOEXCEPT {return ::sqrt((double)__lcpp_x);}
 | 
						|
 | 
						|
// tan
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       tan(float __lcpp_x) _NOEXCEPT       {return ::tanf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __lcpp_x) _NOEXCEPT {return ::tanl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
tan(_A1 __lcpp_x) _NOEXCEPT {return ::tan((double)__lcpp_x);}
 | 
						|
 | 
						|
// tanh
 | 
						|
 | 
						|
#if !(defined(_AIX) || defined(__sun__))
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       tanh(float __lcpp_x) _NOEXCEPT       {return ::tanhf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __lcpp_x) _NOEXCEPT {return ::tanhl(__lcpp_x);}
 | 
						|
#endif
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
tanh(_A1 __lcpp_x) _NOEXCEPT {return ::tanh((double)__lcpp_x);}
 | 
						|
 | 
						|
// acosh
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       acosh(float __lcpp_x) _NOEXCEPT       {return ::acoshf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __lcpp_x) _NOEXCEPT {return ::acoshl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
acosh(_A1 __lcpp_x) _NOEXCEPT {return ::acosh((double)__lcpp_x);}
 | 
						|
 | 
						|
// asinh
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       asinh(float __lcpp_x) _NOEXCEPT       {return ::asinhf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __lcpp_x) _NOEXCEPT {return ::asinhl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
asinh(_A1 __lcpp_x) _NOEXCEPT {return ::asinh((double)__lcpp_x);}
 | 
						|
 | 
						|
// atanh
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       atanh(float __lcpp_x) _NOEXCEPT       {return ::atanhf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __lcpp_x) _NOEXCEPT {return ::atanhl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
atanh(_A1 __lcpp_x) _NOEXCEPT {return ::atanh((double)__lcpp_x);}
 | 
						|
 | 
						|
// cbrt
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       cbrt(float __lcpp_x) _NOEXCEPT       {return ::cbrtf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __lcpp_x) _NOEXCEPT {return ::cbrtl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
cbrt(_A1 __lcpp_x) _NOEXCEPT {return ::cbrt((double)__lcpp_x);}
 | 
						|
 | 
						|
// copysign
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float copysign(float __lcpp_x,
 | 
						|
                                                float __lcpp_y) _NOEXCEPT {
 | 
						|
  return ::copysignf(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double
 | 
						|
copysign(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {
 | 
						|
  return ::copysignl(__lcpp_x, __lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
copysign(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::copysign((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// erf
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       erf(float __lcpp_x) _NOEXCEPT       {return ::erff(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __lcpp_x) _NOEXCEPT {return ::erfl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
erf(_A1 __lcpp_x) _NOEXCEPT {return ::erf((double)__lcpp_x);}
 | 
						|
 | 
						|
// erfc
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       erfc(float __lcpp_x) _NOEXCEPT       {return ::erfcf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __lcpp_x) _NOEXCEPT {return ::erfcl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
erfc(_A1 __lcpp_x) _NOEXCEPT {return ::erfc((double)__lcpp_x);}
 | 
						|
 | 
						|
// exp2
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       exp2(float __lcpp_x) _NOEXCEPT       {return ::exp2f(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __lcpp_x) _NOEXCEPT {return ::exp2l(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
exp2(_A1 __lcpp_x) _NOEXCEPT {return ::exp2((double)__lcpp_x);}
 | 
						|
 | 
						|
// expm1
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       expm1(float __lcpp_x) _NOEXCEPT       {return ::expm1f(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __lcpp_x) _NOEXCEPT {return ::expm1l(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
expm1(_A1 __lcpp_x) _NOEXCEPT {return ::expm1((double)__lcpp_x);}
 | 
						|
 | 
						|
// fdim
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fdim(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fdimf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fdiml(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
fdim(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::fdim((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// fma
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fma(float __lcpp_x, float __lcpp_y, float __lcpp_z) _NOEXCEPT                   {return ::fmaf(__lcpp_x, __lcpp_y, __lcpp_z);}
 | 
						|
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);}
 | 
						|
 | 
						|
template <class _A1, class _A2, class _A3>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value &&
 | 
						|
    std::is_arithmetic<_A3>::value,
 | 
						|
    std::__promote<_A1, _A2, _A3>
 | 
						|
>::type
 | 
						|
fma(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2, _A3>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value &&
 | 
						|
                     std::is_same<_A3, __result_type>::value)), "");
 | 
						|
    return ::fma((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
 | 
						|
}
 | 
						|
 | 
						|
// fmax
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fmax(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fmaxf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fmaxl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
fmax(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::fmax((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// fmin
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       fmin(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::fminf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::fminl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
fmin(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::fmin((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// hypot
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       hypot(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::hypotf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::hypotl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
hypot(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// ilogb
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __lcpp_x) _NOEXCEPT       {return ::ilogbf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __lcpp_x) _NOEXCEPT {return ::ilogbl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, int>::type
 | 
						|
ilogb(_A1 __lcpp_x) _NOEXCEPT {return ::ilogb((double)__lcpp_x);}
 | 
						|
 | 
						|
// lgamma
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       lgamma(float __lcpp_x) _NOEXCEPT       {return ::lgammaf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __lcpp_x) _NOEXCEPT {return ::lgammal(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
lgamma(_A1 __lcpp_x) _NOEXCEPT {return ::lgamma((double)__lcpp_x);}
 | 
						|
 | 
						|
// llrint
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __lcpp_x) _NOEXCEPT       {return ::llrintf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __lcpp_x) _NOEXCEPT {return ::llrintl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, long long>::type
 | 
						|
llrint(_A1 __lcpp_x) _NOEXCEPT {return ::llrint((double)__lcpp_x);}
 | 
						|
 | 
						|
// llround
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long long llround(float __lcpp_x) _NOEXCEPT       {return ::llroundf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __lcpp_x) _NOEXCEPT {return ::llroundl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, long long>::type
 | 
						|
llround(_A1 __lcpp_x) _NOEXCEPT {return ::llround((double)__lcpp_x);}
 | 
						|
 | 
						|
// log1p
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       log1p(float __lcpp_x) _NOEXCEPT       {return ::log1pf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __lcpp_x) _NOEXCEPT {return ::log1pl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
log1p(_A1 __lcpp_x) _NOEXCEPT {return ::log1p((double)__lcpp_x);}
 | 
						|
 | 
						|
// log2
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       log2(float __lcpp_x) _NOEXCEPT       {return ::log2f(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __lcpp_x) _NOEXCEPT {return ::log2l(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
log2(_A1 __lcpp_x) _NOEXCEPT {return ::log2((double)__lcpp_x);}
 | 
						|
 | 
						|
// logb
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       logb(float __lcpp_x) _NOEXCEPT       {return ::logbf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __lcpp_x) _NOEXCEPT {return ::logbl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
logb(_A1 __lcpp_x) _NOEXCEPT {return ::logb((double)__lcpp_x);}
 | 
						|
 | 
						|
// lrint
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long lrint(float __lcpp_x) _NOEXCEPT       {return ::lrintf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __lcpp_x) _NOEXCEPT {return ::lrintl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, long>::type
 | 
						|
lrint(_A1 __lcpp_x) _NOEXCEPT {return ::lrint((double)__lcpp_x);}
 | 
						|
 | 
						|
// lround
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long lround(float __lcpp_x) _NOEXCEPT       {return ::lroundf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long lround(long double __lcpp_x) _NOEXCEPT {return ::lroundl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, long>::type
 | 
						|
lround(_A1 __lcpp_x) _NOEXCEPT {return ::lround((double)__lcpp_x);}
 | 
						|
 | 
						|
// nan
 | 
						|
 | 
						|
// nearbyint
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       nearbyint(float __lcpp_x) _NOEXCEPT       {return ::nearbyintf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __lcpp_x) _NOEXCEPT {return ::nearbyintl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
nearbyint(_A1 __lcpp_x) _NOEXCEPT {return ::nearbyint((double)__lcpp_x);}
 | 
						|
 | 
						|
// nextafter
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       nextafter(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::nextafterf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nextafterl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
nextafter(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::nextafter((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// nexttoward
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       nexttoward(float __lcpp_x, long double __lcpp_y) _NOEXCEPT       {return ::nexttowardf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttowardl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
nexttoward(_A1 __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::nexttoward((double)__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
// remainder
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       remainder(float __lcpp_x, float __lcpp_y) _NOEXCEPT             {return ::remainderf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __lcpp_x, long double __lcpp_y) _NOEXCEPT {return ::remainderl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
remainder(_A1 __lcpp_x, _A2 __lcpp_y) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::remainder((__result_type)__lcpp_x, (__result_type)__lcpp_y);
 | 
						|
}
 | 
						|
 | 
						|
// remquo
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       remquo(float __lcpp_x, float __lcpp_y, int* __lcpp_z) _NOEXCEPT             {return ::remquof(__lcpp_x, __lcpp_y, __lcpp_z);}
 | 
						|
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);}
 | 
						|
 | 
						|
template <class _A1, class _A2>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::__lazy_enable_if
 | 
						|
<
 | 
						|
    std::is_arithmetic<_A1>::value &&
 | 
						|
    std::is_arithmetic<_A2>::value,
 | 
						|
    std::__promote<_A1, _A2>
 | 
						|
>::type
 | 
						|
remquo(_A1 __lcpp_x, _A2 __lcpp_y, int* __lcpp_z) _NOEXCEPT
 | 
						|
{
 | 
						|
    typedef typename std::__promote<_A1, _A2>::type __result_type;
 | 
						|
    static_assert((!(std::is_same<_A1, __result_type>::value &&
 | 
						|
                     std::is_same<_A2, __result_type>::value)), "");
 | 
						|
    return ::remquo((__result_type)__lcpp_x, (__result_type)__lcpp_y, __lcpp_z);
 | 
						|
}
 | 
						|
 | 
						|
// rint
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       rint(float __lcpp_x) _NOEXCEPT       {return ::rintf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __lcpp_x) _NOEXCEPT {return ::rintl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
rint(_A1 __lcpp_x) _NOEXCEPT {return ::rint((double)__lcpp_x);}
 | 
						|
 | 
						|
// round
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       round(float __lcpp_x) _NOEXCEPT       {return ::roundf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double round(long double __lcpp_x) _NOEXCEPT {return ::roundl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
round(_A1 __lcpp_x) _NOEXCEPT {return ::round((double)__lcpp_x);}
 | 
						|
 | 
						|
// scalbln
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       scalbln(float __lcpp_x, long __lcpp_y) _NOEXCEPT       {return ::scalblnf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalblnl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
scalbln(_A1 __lcpp_x, long __lcpp_y) _NOEXCEPT {return ::scalbln((double)__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
// scalbn
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       scalbn(float __lcpp_x, int __lcpp_y) _NOEXCEPT       {return ::scalbnf(__lcpp_x, __lcpp_y);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbnl(__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
scalbn(_A1 __lcpp_x, int __lcpp_y) _NOEXCEPT {return ::scalbn((double)__lcpp_x, __lcpp_y);}
 | 
						|
 | 
						|
// tgamma
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       tgamma(float __lcpp_x) _NOEXCEPT       {return ::tgammaf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __lcpp_x) _NOEXCEPT {return ::tgammal(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
tgamma(_A1 __lcpp_x) _NOEXCEPT {return ::tgamma((double)__lcpp_x);}
 | 
						|
 | 
						|
// trunc
 | 
						|
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY float       trunc(float __lcpp_x) _NOEXCEPT       {return ::truncf(__lcpp_x);}
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __lcpp_x) _NOEXCEPT {return ::truncl(__lcpp_x);}
 | 
						|
 | 
						|
template <class _A1>
 | 
						|
inline _LIBCPP_INLINE_VISIBILITY
 | 
						|
typename std::enable_if<std::is_integral<_A1>::value, double>::type
 | 
						|
trunc(_A1 __lcpp_x) _NOEXCEPT {return ::trunc((double)__lcpp_x);}
 | 
						|
 | 
						|
} // extern "C++"
 | 
						|
 | 
						|
#endif // __cplusplus
 | 
						|
 | 
						|
#else // _LIBCPP_MATH_H
 | 
						|
 | 
						|
// This include lives outside the header guard in order to support an MSVC
 | 
						|
// extension which allows users to do:
 | 
						|
//
 | 
						|
// #define _USE_MATH_DEFINES
 | 
						|
// #include <math.h>
 | 
						|
//
 | 
						|
// and receive the definitions of mathematical constants, even if <math.h>
 | 
						|
// has previously been included.
 | 
						|
#if defined(_LIBCPP_MSVCRT) && defined(_USE_MATH_DEFINES)
 | 
						|
#include_next <math.h>
 | 
						|
#endif
 | 
						|
 | 
						|
#endif  // _LIBCPP_MATH_H
 |