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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
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{
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return __libcpp_fpclassify((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<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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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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fpclassify(_A1 __lcpp_x) _NOEXCEPT
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{
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return ::fpclassify(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<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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#endif // fpclassify
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// isfinite
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#ifdef isfinite
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template <class _A1>
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_LIBCPP_INLINE_VISIBILITY
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bool
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__libcpp_isfinite(_A1 __lcpp_x) _NOEXCEPT
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{
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return isfinite(__lcpp_x);
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}
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#undef isfinite
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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_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
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bool>::type
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isfinite(_A1 __lcpp_x) _NOEXCEPT
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{
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return __libcpp_isfinite((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_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
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bool>::type
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isfinite(_A1) _NOEXCEPT
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{ return true; }
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#endif // isfinite
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// isinf
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#ifdef isinf
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template <class _A1>
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_LIBCPP_INLINE_VISIBILITY
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bool
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__libcpp_isinf(_A1 __lcpp_x) _NOEXCEPT
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{
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return isinf(__lcpp_x);
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}
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#undef isinf
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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_arithmetic<_A1>::value && std::numeric_limits<_A1>::has_infinity,
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bool>::type
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isinf(_A1 __lcpp_x) _NOEXCEPT
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{
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return __libcpp_isinf((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
|
|
typename std::enable_if<
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std::is_arithmetic<_A1>::value && !std::numeric_limits<_A1>::has_infinity,
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|
bool>::type
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|
isinf(_A1) _NOEXCEPT
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|
{ return false; }
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|
|
#ifdef _LIBCPP_PREFERRED_OVERLOAD
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|
inline _LIBCPP_INLINE_VISIBILITY
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|
bool
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isinf(float __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
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|
|
inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_PREFERRED_OVERLOAD
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|
bool
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isinf(double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
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inline _LIBCPP_INLINE_VISIBILITY
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bool
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isinf(long double __lcpp_x) _NOEXCEPT { return __libcpp_isinf(__lcpp_x); }
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#endif
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#endif // isinf
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// isnan
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#ifdef isnan
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template <class _A1>
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_LIBCPP_INLINE_VISIBILITY
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|
bool
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__libcpp_isnan(_A1 __lcpp_x) _NOEXCEPT
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|
{
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return isnan(__lcpp_x);
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}
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|
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#undef isnan
|
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|
template <class _A1>
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|
inline _LIBCPP_INLINE_VISIBILITY
|
|
typename std::enable_if<std::is_floating_point<_A1>::value, bool>::type
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|
isnan(_A1 __lcpp_x) _NOEXCEPT
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|
{
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return __libcpp_isnan((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, bool>::type
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|
isnan(_A1) _NOEXCEPT
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|
{ return false; }
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|
|
#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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_A2, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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::_EnableIf
|
|
<
|
|
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::_IsSame<_A1, __result_type>::value &&
|
|
std::_IsSame<_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
|