1691 lines
45 KiB
Text
1691 lines
45 KiB
Text
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// -*- C++ -*-
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//===---------------------------- cmath -----------------------------------===//
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//
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// The LLVM Compiler Infrastructure
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//
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// This file is dual licensed under the MIT and the University of Illinois Open
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// Source Licenses. See LICENSE.TXT for details.
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//
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//===----------------------------------------------------------------------===//
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#ifndef _LIBCPP_CMATH
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#define _LIBCPP_CMATH
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/*
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cmath 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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namespace std
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{
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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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} // std
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*/
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#include <__config>
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#include <math.h>
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#include <type_traits>
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#ifdef _LIBCPP_MSVCRT
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#include "support/win32/math_win32.h"
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#endif
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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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// signbit
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#ifdef signbit
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template <class _A1>
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_LIBCPP_ALWAYS_INLINE
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bool
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__libcpp_signbit(_A1 __x) _NOEXCEPT
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{
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return signbit(__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_arithmetic<_A1>::value, bool>::type
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signbit(_A1 __x) _NOEXCEPT
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{
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return __libcpp_signbit((typename std::__promote<_A1>::type)__x);
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}
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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_ALWAYS_INLINE
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int
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__libcpp_fpclassify(_A1 __x) _NOEXCEPT
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{
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return fpclassify(__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_arithmetic<_A1>::value, int>::type
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fpclassify(_A1 __x) _NOEXCEPT
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{
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return __libcpp_fpclassify((typename std::__promote<_A1>::type)__x);
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}
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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_ALWAYS_INLINE
|
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bool
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__libcpp_isfinite(_A1 __x) _NOEXCEPT
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{
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return isfinite(__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<std::is_arithmetic<_A1>::value, bool>::type
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isfinite(_A1 __x) _NOEXCEPT
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|
{
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return __libcpp_isfinite((typename std::__promote<_A1>::type)__x);
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}
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#endif // isfinite
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// isinf
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||
|
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||
|
#ifdef isinf
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|
|
||
|
template <class _A1>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
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|
bool
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|
__libcpp_isinf(_A1 __x) _NOEXCEPT
|
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|
{
|
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|
return isinf(__x);
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|
}
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||
|
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||
|
#undef isinf
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
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|
isinf(_A1 __x) _NOEXCEPT
|
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|
{
|
||
|
return __libcpp_isinf((typename std::__promote<_A1>::type)__x);
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|
}
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||
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||
|
#endif // isinf
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||
|
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||
|
// isnan
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||
|
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||
|
#ifdef isnan
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||
|
|
||
|
template <class _A1>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
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|
__libcpp_isnan(_A1 __x) _NOEXCEPT
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|
{
|
||
|
return isnan(__x);
|
||
|
}
|
||
|
|
||
|
#undef isnan
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
|
||
|
isnan(_A1 __x) _NOEXCEPT
|
||
|
{
|
||
|
return __libcpp_isnan((typename std::__promote<_A1>::type)__x);
|
||
|
}
|
||
|
|
||
|
#endif // isnan
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||
|
|
||
|
// isnormal
|
||
|
|
||
|
#ifdef isnormal
|
||
|
|
||
|
template <class _A1>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_isnormal(_A1 __x) _NOEXCEPT
|
||
|
{
|
||
|
return isnormal(__x);
|
||
|
}
|
||
|
|
||
|
#undef isnormal
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename std::enable_if<std::is_arithmetic<_A1>::value, bool>::type
|
||
|
isnormal(_A1 __x) _NOEXCEPT
|
||
|
{
|
||
|
return __libcpp_isnormal((typename std::__promote<_A1>::type)__x);
|
||
|
}
|
||
|
|
||
|
#endif // isnormal
|
||
|
|
||
|
// isgreater
|
||
|
|
||
|
#ifdef isgreater
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_isgreater(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return isgreater(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_isgreater((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // isgreater
|
||
|
|
||
|
// isgreaterequal
|
||
|
|
||
|
#ifdef isgreaterequal
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_isgreaterequal(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return isgreaterequal(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_isgreaterequal((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // isgreaterequal
|
||
|
|
||
|
// isless
|
||
|
|
||
|
#ifdef isless
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_isless(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return isless(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_isless((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // isless
|
||
|
|
||
|
// islessequal
|
||
|
|
||
|
#ifdef islessequal
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_islessequal(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return islessequal(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_islessequal((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // islessequal
|
||
|
|
||
|
// islessgreater
|
||
|
|
||
|
#ifdef islessgreater
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_islessgreater(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return islessgreater(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_islessgreater((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // islessgreater
|
||
|
|
||
|
// isunordered
|
||
|
|
||
|
#ifdef isunordered
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
_LIBCPP_ALWAYS_INLINE
|
||
|
bool
|
||
|
__libcpp_isunordered(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
return isunordered(__x, __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 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename std::__promote<_A1, _A2>::type type;
|
||
|
return __libcpp_isunordered((type)__x, (type)__y);
|
||
|
}
|
||
|
|
||
|
#endif // isunordered
|
||
|
|
||
|
_LIBCPP_BEGIN_NAMESPACE_STD
|
||
|
|
||
|
using ::signbit;
|
||
|
using ::fpclassify;
|
||
|
using ::isfinite;
|
||
|
using ::isinf;
|
||
|
using ::isnan;
|
||
|
using ::isnormal;
|
||
|
using ::isgreater;
|
||
|
using ::isgreaterequal;
|
||
|
using ::isless;
|
||
|
using ::islessequal;
|
||
|
using ::islessgreater;
|
||
|
using ::isunordered;
|
||
|
using ::isunordered;
|
||
|
|
||
|
using ::float_t;
|
||
|
using ::double_t;
|
||
|
|
||
|
// abs
|
||
|
|
||
|
#if !defined(_AIX)
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
float
|
||
|
abs(float __x) _NOEXCEPT {return fabsf(__x);}
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
double
|
||
|
abs(double __x) _NOEXCEPT {return fabs(__x);}
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
long double
|
||
|
abs(long double __x) _NOEXCEPT {return fabsl(__x);}
|
||
|
#endif // !defined(_AIX)
|
||
|
|
||
|
#ifndef __sun__
|
||
|
|
||
|
// acos
|
||
|
|
||
|
using ::acos;
|
||
|
using ::acosf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float acos(float __x) _NOEXCEPT {return acosf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double acos(long double __x) _NOEXCEPT {return acosl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
acos(_A1 __x) _NOEXCEPT {return acos((double)__x);}
|
||
|
|
||
|
// asin
|
||
|
|
||
|
using ::asin;
|
||
|
using ::asinf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float asin(float __x) _NOEXCEPT {return asinf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double asin(long double __x) _NOEXCEPT {return asinl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
asin(_A1 __x) _NOEXCEPT {return asin((double)__x);}
|
||
|
|
||
|
// atan
|
||
|
|
||
|
using ::atan;
|
||
|
using ::atanf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float atan(float __x) _NOEXCEPT {return atanf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double atan(long double __x) _NOEXCEPT {return atanl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
atan(_A1 __x) _NOEXCEPT {return atan((double)__x);}
|
||
|
|
||
|
// atan2
|
||
|
|
||
|
using ::atan2;
|
||
|
using ::atan2f;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float atan2(float __y, float __x) _NOEXCEPT {return atan2f(__y, __x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double atan2(long double __y, long double __x) _NOEXCEPT {return atan2l(__y, __x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
atan2(_A1 __y, _A2 __x) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return atan2((__result_type)__y, (__result_type)__x);
|
||
|
}
|
||
|
|
||
|
// ceil
|
||
|
|
||
|
using ::ceil;
|
||
|
using ::ceilf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float ceil(float __x) _NOEXCEPT {return ceilf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double ceil(long double __x) _NOEXCEPT {return ceill(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
ceil(_A1 __x) _NOEXCEPT {return ceil((double)__x);}
|
||
|
|
||
|
// cos
|
||
|
|
||
|
using ::cos;
|
||
|
using ::cosf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float cos(float __x) _NOEXCEPT {return cosf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double cos(long double __x) _NOEXCEPT {return cosl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
cos(_A1 __x) _NOEXCEPT {return cos((double)__x);}
|
||
|
|
||
|
// cosh
|
||
|
|
||
|
using ::cosh;
|
||
|
using ::coshf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float cosh(float __x) _NOEXCEPT {return coshf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double cosh(long double __x) _NOEXCEPT {return coshl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
cosh(_A1 __x) _NOEXCEPT {return cosh((double)__x);}
|
||
|
|
||
|
#endif // __sun__
|
||
|
// exp
|
||
|
|
||
|
using ::exp;
|
||
|
using ::expf;
|
||
|
|
||
|
#ifndef __sun__
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float exp(float __x) _NOEXCEPT {return expf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double exp(long double __x) _NOEXCEPT {return expl(__x);}
|
||
|
#endif
|
||
|
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
exp(_A1 __x) _NOEXCEPT {return exp((double)__x);}
|
||
|
|
||
|
// fabs
|
||
|
|
||
|
using ::fabs;
|
||
|
using ::fabsf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fabs(float __x) _NOEXCEPT {return fabsf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fabs(long double __x) _NOEXCEPT {return fabsl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
fabs(_A1 __x) _NOEXCEPT {return fabs((double)__x);}
|
||
|
|
||
|
// floor
|
||
|
|
||
|
using ::floor;
|
||
|
using ::floorf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float floor(float __x) _NOEXCEPT {return floorf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double floor(long double __x) _NOEXCEPT {return floorl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
floor(_A1 __x) _NOEXCEPT {return floor((double)__x);}
|
||
|
|
||
|
// fmod
|
||
|
|
||
|
#endif //__sun__
|
||
|
using ::fmod;
|
||
|
using ::fmodf;
|
||
|
#ifndef __sun__
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fmod(float __x, float __y) _NOEXCEPT {return fmodf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fmod(long double __x, long double __y) _NOEXCEPT {return fmodl(__x, __y);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
fmod(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return fmod((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
|
||
|
// frexp
|
||
|
|
||
|
using ::frexp;
|
||
|
using ::frexpf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float frexp(float __x, int* __e) _NOEXCEPT {return frexpf(__x, __e);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double frexp(long double __x, int* __e) _NOEXCEPT {return frexpl(__x, __e);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
frexp(_A1 __x, int* __e) _NOEXCEPT {return frexp((double)__x, __e);}
|
||
|
|
||
|
// ldexp
|
||
|
|
||
|
using ::ldexp;
|
||
|
using ::ldexpf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float ldexp(float __x, int __e) _NOEXCEPT {return ldexpf(__x, __e);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double ldexp(long double __x, int __e) _NOEXCEPT {return ldexpl(__x, __e);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
ldexp(_A1 __x, int __e) _NOEXCEPT {return ldexp((double)__x, __e);}
|
||
|
|
||
|
// log
|
||
|
|
||
|
#endif // __sun__
|
||
|
using ::log;
|
||
|
using ::logf;
|
||
|
#ifndef __sun__
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float log(float __x) _NOEXCEPT {return logf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double log(long double __x) _NOEXCEPT {return logl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
log(_A1 __x) _NOEXCEPT {return log((double)__x);}
|
||
|
|
||
|
|
||
|
// log10
|
||
|
|
||
|
using ::log10;
|
||
|
using ::log10f;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float log10(float __x) _NOEXCEPT {return log10f(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double log10(long double __x) _NOEXCEPT {return log10l(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
log10(_A1 __x) _NOEXCEPT {return log10((double)__x);}
|
||
|
|
||
|
// modf
|
||
|
|
||
|
using ::modf;
|
||
|
using ::modff;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float modf(float __x, float* __y) _NOEXCEPT {return modff(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double modf(long double __x, long double* __y) _NOEXCEPT {return modfl(__x, __y);}
|
||
|
#endif
|
||
|
|
||
|
// pow
|
||
|
|
||
|
#endif // __sun__
|
||
|
using ::pow;
|
||
|
using ::powf;
|
||
|
|
||
|
#ifndef __sun__
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float pow(float __x, float __y) _NOEXCEPT {return powf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double pow(long double __x, long double __y) _NOEXCEPT {return powl(__x, __y);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
pow(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return pow((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
|
||
|
// sin
|
||
|
|
||
|
using ::sin;
|
||
|
using ::sinf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float sin(float __x) _NOEXCEPT {return sinf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double sin(long double __x) _NOEXCEPT {return sinl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
sin(_A1 __x) _NOEXCEPT {return sin((double)__x);}
|
||
|
|
||
|
// sinh
|
||
|
|
||
|
using ::sinh;
|
||
|
using ::sinhf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float sinh(float __x) _NOEXCEPT {return sinhf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double sinh(long double __x) _NOEXCEPT {return sinhl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
sinh(_A1 __x) _NOEXCEPT {return sinh((double)__x);}
|
||
|
|
||
|
// sqrt
|
||
|
|
||
|
#endif // __sun__
|
||
|
using ::sqrt;
|
||
|
using ::sqrtf;
|
||
|
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(__sun__) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float sqrt(float __x) _NOEXCEPT {return sqrtf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double sqrt(long double __x) _NOEXCEPT {return sqrtl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
sqrt(_A1 __x) _NOEXCEPT {return sqrt((double)__x);}
|
||
|
|
||
|
// tan
|
||
|
|
||
|
using ::tan;
|
||
|
using ::tanf;
|
||
|
#ifndef __sun__
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float tan(float __x) _NOEXCEPT {return tanf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double tan(long double __x) _NOEXCEPT {return tanl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
tan(_A1 __x) _NOEXCEPT {return tan((double)__x);}
|
||
|
|
||
|
// tanh
|
||
|
|
||
|
using ::tanh;
|
||
|
using ::tanhf;
|
||
|
|
||
|
#if !(defined(_LIBCPP_MSVCRT) || defined(_AIX))
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float tanh(float __x) _NOEXCEPT {return tanhf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double tanh(long double __x) _NOEXCEPT {return tanhl(__x);}
|
||
|
#endif
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
tanh(_A1 __x) _NOEXCEPT {return tanh((double)__x);}
|
||
|
|
||
|
// acosh
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::acosh;
|
||
|
using ::acoshf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float acosh(float __x) _NOEXCEPT {return acoshf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double acosh(long double __x) _NOEXCEPT {return acoshl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
acosh(_A1 __x) _NOEXCEPT {return acosh((double)__x);}
|
||
|
#endif
|
||
|
|
||
|
// asinh
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::asinh;
|
||
|
using ::asinhf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float asinh(float __x) _NOEXCEPT {return asinhf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double asinh(long double __x) _NOEXCEPT {return asinhl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
asinh(_A1 __x) _NOEXCEPT {return asinh((double)__x);}
|
||
|
#endif
|
||
|
|
||
|
// atanh
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::atanh;
|
||
|
using ::atanhf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float atanh(float __x) _NOEXCEPT {return atanhf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double atanh(long double __x) _NOEXCEPT {return atanhl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
atanh(_A1 __x) _NOEXCEPT {return atanh((double)__x);}
|
||
|
#endif
|
||
|
|
||
|
// cbrt
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::cbrt;
|
||
|
using ::cbrtf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float cbrt(float __x) _NOEXCEPT {return cbrtf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double cbrt(long double __x) _NOEXCEPT {return cbrtl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
cbrt(_A1 __x) _NOEXCEPT {return cbrt((double)__x);}
|
||
|
#endif
|
||
|
|
||
|
// copysign
|
||
|
|
||
|
using ::copysign;
|
||
|
using ::copysignf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float copysign(float __x, float __y) _NOEXCEPT {return copysignf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double copysign(long double __x, long double __y) _NOEXCEPT {return copysignl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
copysign(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return copysign((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
|
||
|
// erf
|
||
|
|
||
|
using ::erf;
|
||
|
using ::erff;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float erf(float __x) _NOEXCEPT {return erff(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double erf(long double __x) _NOEXCEPT {return erfl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
erf(_A1 __x) _NOEXCEPT {return erf((double)__x);}
|
||
|
|
||
|
// erfc
|
||
|
|
||
|
using ::erfc;
|
||
|
using ::erfcf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float erfc(float __x) _NOEXCEPT {return erfcf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double erfc(long double __x) _NOEXCEPT {return erfcl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
erfc(_A1 __x) _NOEXCEPT {return erfc((double)__x);}
|
||
|
|
||
|
// exp2
|
||
|
|
||
|
using ::exp2;
|
||
|
using ::exp2f;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float exp2(float __x) _NOEXCEPT {return exp2f(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double exp2(long double __x) _NOEXCEPT {return exp2l(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
exp2(_A1 __x) _NOEXCEPT {return exp2((double)__x);}
|
||
|
|
||
|
// expm1
|
||
|
|
||
|
using ::expm1;
|
||
|
using ::expm1f;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float expm1(float __x) _NOEXCEPT {return expm1f(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double expm1(long double __x) _NOEXCEPT {return expm1l(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
expm1(_A1 __x) _NOEXCEPT {return expm1((double)__x);}
|
||
|
|
||
|
// fdim
|
||
|
|
||
|
using ::fdim;
|
||
|
using ::fdimf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fdim(float __x, float __y) _NOEXCEPT {return fdimf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fdim(long double __x, long double __y) _NOEXCEPT {return fdiml(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
fdim(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return fdim((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// fma
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fmaf(float __x, float __y, float __z) _NOEXCEPT {return (float)((double)__x*__y + __z);}
|
||
|
#ifndef FP_FAST_FMAF
|
||
|
#define FP_FAST_FMAF
|
||
|
#endif
|
||
|
|
||
|
using ::fma;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fma(float __x, float __y, float __z) _NOEXCEPT {return fmaf(__x, __y, __z);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fma(long double __x, long double __y, long double __z) _NOEXCEPT {return fmal(__x, __y, __z);}
|
||
|
|
||
|
template <class _A1, class _A2, class _A3>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value &&
|
||
|
is_arithmetic<_A3>::value,
|
||
|
typename __promote<_A1, _A2, _A3>::type
|
||
|
>::type
|
||
|
fma(_A1 __x, _A2 __y, _A3 __z) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2, _A3>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value &&
|
||
|
is_same<_A3, __result_type>::value)), "");
|
||
|
return fma((__result_type)__x, (__result_type)__y, (__result_type)__z);
|
||
|
}
|
||
|
|
||
|
// fmax
|
||
|
|
||
|
using ::fmax;
|
||
|
using ::fmaxf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fmax(float __x, float __y) _NOEXCEPT {return fmaxf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fmax(long double __x, long double __y) _NOEXCEPT {return fmaxl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
fmax(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return fmax((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// fmin
|
||
|
|
||
|
using ::fmin;
|
||
|
using ::fminf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float fmin(float __x, float __y) _NOEXCEPT {return fminf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double fmin(long double __x, long double __y) _NOEXCEPT {return fminl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
fmin(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return fmin((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// hypot
|
||
|
|
||
|
using ::hypot;
|
||
|
using ::hypotf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float hypot(float __x, float __y) _NOEXCEPT {return hypotf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double hypot(long double __x, long double __y) _NOEXCEPT {return hypotl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
hypot(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return hypot((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// ilogb
|
||
|
|
||
|
using ::ilogb;
|
||
|
using ::ilogbf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY int ilogb(float __x) _NOEXCEPT {return ilogbf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY int ilogb(long double __x) _NOEXCEPT {return ilogbl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, int>::type
|
||
|
ilogb(_A1 __x) _NOEXCEPT {return ilogb((double)__x);}
|
||
|
|
||
|
// lgamma
|
||
|
|
||
|
using ::lgamma;
|
||
|
using ::lgammaf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float lgamma(float __x) _NOEXCEPT {return lgammaf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double lgamma(long double __x) _NOEXCEPT {return lgammal(__x);}
|
||
|
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
lgamma(_A1 __x) _NOEXCEPT {return lgamma((double)__x);}
|
||
|
|
||
|
|
||
|
// llrint
|
||
|
|
||
|
using ::llrint;
|
||
|
using ::llrintf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long long llrint(float __x) _NOEXCEPT {return llrintf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long long llrint(long double __x) _NOEXCEPT {return llrintl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, long long>::type
|
||
|
llrint(_A1 __x) _NOEXCEPT {return llrint((double)__x);}
|
||
|
|
||
|
// llround
|
||
|
|
||
|
using ::llround;
|
||
|
using ::llroundf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long long llround(float __x) _NOEXCEPT {return llroundf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long long llround(long double __x) _NOEXCEPT {return llroundl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, long long>::type
|
||
|
llround(_A1 __x) _NOEXCEPT {return llround((double)__x);}
|
||
|
|
||
|
// log1p
|
||
|
|
||
|
using ::log1p;
|
||
|
using ::log1pf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float log1p(float __x) _NOEXCEPT {return log1pf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double log1p(long double __x) _NOEXCEPT {return log1pl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
log1p(_A1 __x) _NOEXCEPT {return log1p((double)__x);}
|
||
|
|
||
|
// log2
|
||
|
|
||
|
using ::log2;
|
||
|
using ::log2f;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float log2(float __x) _NOEXCEPT {return log2f(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double log2(long double __x) _NOEXCEPT {return log2l(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
log2(_A1 __x) _NOEXCEPT {return log2((double)__x);}
|
||
|
|
||
|
// logb
|
||
|
|
||
|
using ::logb;
|
||
|
using ::logbf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float logb(float __x) _NOEXCEPT {return logbf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double logb(long double __x) _NOEXCEPT {return logbl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
logb(_A1 __x) _NOEXCEPT {return logb((double)__x);}
|
||
|
|
||
|
// lrint
|
||
|
|
||
|
using ::lrint;
|
||
|
using ::lrintf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long lrint(float __x) _NOEXCEPT {return lrintf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long lrint(long double __x) _NOEXCEPT {return lrintl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, long>::type
|
||
|
lrint(_A1 __x) _NOEXCEPT {return lrint((double)__x);}
|
||
|
|
||
|
// lround
|
||
|
|
||
|
using ::lround;
|
||
|
using ::lroundf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long lround(float __x) _NOEXCEPT {return lroundf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long lround(long double __x) _NOEXCEPT {return lroundl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, long>::type
|
||
|
lround(_A1 __x) _NOEXCEPT {return lround((double)__x);}
|
||
|
|
||
|
#endif // _LIBCPP_MSVCRT
|
||
|
#endif // __sun__
|
||
|
|
||
|
// nan
|
||
|
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::nan;
|
||
|
using ::nanf;
|
||
|
#endif // _LIBCPP_MSVCRT
|
||
|
|
||
|
#ifndef __sun__
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
|
||
|
// nearbyint
|
||
|
|
||
|
using ::nearbyint;
|
||
|
using ::nearbyintf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float nearbyint(float __x) _NOEXCEPT {return nearbyintf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double nearbyint(long double __x) _NOEXCEPT {return nearbyintl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
nearbyint(_A1 __x) _NOEXCEPT {return nearbyint((double)__x);}
|
||
|
|
||
|
// nextafter
|
||
|
|
||
|
using ::nextafter;
|
||
|
using ::nextafterf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float nextafter(float __x, float __y) _NOEXCEPT {return nextafterf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double nextafter(long double __x, long double __y) _NOEXCEPT {return nextafterl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
nextafter(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return nextafter((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// nexttoward
|
||
|
|
||
|
using ::nexttoward;
|
||
|
using ::nexttowardf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float nexttoward(float __x, long double __y) _NOEXCEPT {return nexttowardf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double nexttoward(long double __x, long double __y) _NOEXCEPT {return nexttowardl(__x, __y);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
nexttoward(_A1 __x, long double __y) _NOEXCEPT {return nexttoward((double)__x, __y);}
|
||
|
|
||
|
// remainder
|
||
|
|
||
|
using ::remainder;
|
||
|
using ::remainderf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float remainder(float __x, float __y) _NOEXCEPT {return remainderf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double remainder(long double __x, long double __y) _NOEXCEPT {return remainderl(__x, __y);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
remainder(_A1 __x, _A2 __y) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return remainder((__result_type)__x, (__result_type)__y);
|
||
|
}
|
||
|
|
||
|
// remquo
|
||
|
|
||
|
using ::remquo;
|
||
|
using ::remquof;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float remquo(float __x, float __y, int* __z) _NOEXCEPT {return remquof(__x, __y, __z);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double remquo(long double __x, long double __y, int* __z) _NOEXCEPT {return remquol(__x, __y, __z);}
|
||
|
|
||
|
template <class _A1, class _A2>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if
|
||
|
<
|
||
|
is_arithmetic<_A1>::value &&
|
||
|
is_arithmetic<_A2>::value,
|
||
|
typename __promote<_A1, _A2>::type
|
||
|
>::type
|
||
|
remquo(_A1 __x, _A2 __y, int* __z) _NOEXCEPT
|
||
|
{
|
||
|
typedef typename __promote<_A1, _A2>::type __result_type;
|
||
|
static_assert((!(is_same<_A1, __result_type>::value &&
|
||
|
is_same<_A2, __result_type>::value)), "");
|
||
|
return remquo((__result_type)__x, (__result_type)__y, __z);
|
||
|
}
|
||
|
|
||
|
// rint
|
||
|
|
||
|
using ::rint;
|
||
|
using ::rintf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float rint(float __x) _NOEXCEPT {return rintf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double rint(long double __x) _NOEXCEPT {return rintl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
rint(_A1 __x) _NOEXCEPT {return rint((double)__x);}
|
||
|
|
||
|
// round
|
||
|
|
||
|
using ::round;
|
||
|
using ::roundf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float round(float __x) _NOEXCEPT {return roundf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double round(long double __x) _NOEXCEPT {return roundl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
round(_A1 __x) _NOEXCEPT {return round((double)__x);}
|
||
|
|
||
|
// scalbln
|
||
|
|
||
|
using ::scalbln;
|
||
|
using ::scalblnf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float scalbln(float __x, long __y) _NOEXCEPT {return scalblnf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double scalbln(long double __x, long __y) _NOEXCEPT {return scalblnl(__x, __y);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
scalbln(_A1 __x, long __y) _NOEXCEPT {return scalbln((double)__x, __y);}
|
||
|
|
||
|
// scalbn
|
||
|
|
||
|
using ::scalbn;
|
||
|
using ::scalbnf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float scalbn(float __x, int __y) _NOEXCEPT {return scalbnf(__x, __y);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double scalbn(long double __x, int __y) _NOEXCEPT {return scalbnl(__x, __y);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
scalbn(_A1 __x, int __y) _NOEXCEPT {return scalbn((double)__x, __y);}
|
||
|
|
||
|
// tgamma
|
||
|
|
||
|
using ::tgamma;
|
||
|
using ::tgammaf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float tgamma(float __x) _NOEXCEPT {return tgammaf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double tgamma(long double __x) _NOEXCEPT {return tgammal(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
tgamma(_A1 __x) _NOEXCEPT {return tgamma((double)__x);}
|
||
|
|
||
|
// trunc
|
||
|
|
||
|
using ::trunc;
|
||
|
using ::truncf;
|
||
|
|
||
|
inline _LIBCPP_INLINE_VISIBILITY float trunc(float __x) _NOEXCEPT {return truncf(__x);}
|
||
|
inline _LIBCPP_INLINE_VISIBILITY long double trunc(long double __x) _NOEXCEPT {return truncl(__x);}
|
||
|
|
||
|
template <class _A1>
|
||
|
inline _LIBCPP_INLINE_VISIBILITY
|
||
|
typename enable_if<is_integral<_A1>::value, double>::type
|
||
|
trunc(_A1 __x) _NOEXCEPT {return trunc((double)__x);}
|
||
|
|
||
|
#endif // !_LIBCPP_MSVCRT
|
||
|
|
||
|
using ::acosl;
|
||
|
using ::asinl;
|
||
|
using ::atanl;
|
||
|
using ::atan2l;
|
||
|
using ::ceill;
|
||
|
using ::cosl;
|
||
|
using ::coshl;
|
||
|
using ::expl;
|
||
|
using ::fabsl;
|
||
|
using ::floorl;
|
||
|
using ::fmodl;
|
||
|
using ::frexpl;
|
||
|
using ::ldexpl;
|
||
|
using ::logl;
|
||
|
using ::log10l;
|
||
|
using ::modfl;
|
||
|
using ::powl;
|
||
|
using ::sinl;
|
||
|
using ::sinhl;
|
||
|
using ::sqrtl;
|
||
|
using ::tanl;
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::tanhl;
|
||
|
using ::acoshl;
|
||
|
using ::asinhl;
|
||
|
using ::atanhl;
|
||
|
using ::cbrtl;
|
||
|
#endif // !_LIBCPP_MSVCRT
|
||
|
using ::copysignl;
|
||
|
#ifndef _LIBCPP_MSVCRT
|
||
|
using ::erfl;
|
||
|
using ::erfcl;
|
||
|
using ::exp2l;
|
||
|
using ::expm1l;
|
||
|
using ::fdiml;
|
||
|
using ::fmal;
|
||
|
using ::fmaxl;
|
||
|
using ::fminl;
|
||
|
using ::hypotl;
|
||
|
using ::ilogbl;
|
||
|
using ::lgammal;
|
||
|
using ::llrintl;
|
||
|
using ::llroundl;
|
||
|
using ::log1pl;
|
||
|
using ::log2l;
|
||
|
using ::logbl;
|
||
|
using ::lrintl;
|
||
|
using ::lroundl;
|
||
|
using ::nanl;
|
||
|
using ::nearbyintl;
|
||
|
using ::nextafterl;
|
||
|
using ::nexttowardl;
|
||
|
using ::remainderl;
|
||
|
using ::remquol;
|
||
|
using ::rintl;
|
||
|
using ::roundl;
|
||
|
using ::scalblnl;
|
||
|
using ::scalbnl;
|
||
|
using ::tgammal;
|
||
|
using ::truncl;
|
||
|
#endif // !_LIBCPP_MSVCRT
|
||
|
|
||
|
#else
|
||
|
using ::lgamma;
|
||
|
using ::lgammaf;
|
||
|
#endif // __sun__
|
||
|
_LIBCPP_END_NAMESPACE_STD
|
||
|
|
||
|
#endif // _LIBCPP_CMATH
|