2010-05-12 03:42:16 +08:00
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// -*- C++ -*-
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//===---------------------------- cmath -----------------------------------===//
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//
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2010-05-12 05:36:01 +08:00
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// The LLVM Compiler Infrastructure
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2010-05-12 03:42:16 +08:00
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//
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2010-11-17 06:09:02 +08:00
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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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2010-05-12 03:42:16 +08:00
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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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2013-01-15 04:56:22 +08:00
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bool signbit(arithmetic x);
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2010-05-12 03:42:16 +08:00
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2013-01-15 04:56:22 +08:00
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int fpclassify(arithmetic x);
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2010-05-12 03:42:16 +08:00
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2013-01-15 04:56:22 +08:00
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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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2010-08-22 08:02:43 +08:00
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2013-01-15 04:56:22 +08:00
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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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2010-05-12 03:42:16 +08:00
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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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2016-05-17 22:52:19 +08:00
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double hypot(double x, double y, double z); // C++17
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float hypot(float x, float y, float z); // C++17
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long double hypot(long double x, long double y, long double z); // C++17
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2010-05-12 03:42:16 +08:00
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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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2018-09-13 03:41:40 +08:00
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#include <version>
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2011-10-28 00:24:42 +08:00
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2011-10-18 04:05:10 +08:00
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#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
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2010-05-12 03:42:16 +08:00
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#pragma GCC system_header
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2011-10-18 04:05:10 +08:00
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#endif
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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_LIBCPP_BEGIN_NAMESPACE_STD
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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using ::signbit;
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using ::fpclassify;
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using ::isfinite;
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using ::isinf;
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using ::isnan;
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using ::isnormal;
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using ::isgreater;
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using ::isgreaterequal;
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using ::isless;
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using ::islessequal;
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using ::islessgreater;
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using ::isunordered;
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using ::isunordered;
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using ::float_t;
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using ::double_t;
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2015-10-09 04:40:34 +08:00
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#ifndef _AIX
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2015-03-18 23:24:18 +08:00
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using ::abs;
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#endif
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2011-05-14 05:52:40 +08:00
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using ::acos;
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using ::acosf;
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using ::asin;
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using ::asinf;
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using ::atan;
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using ::atanf;
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using ::atan2;
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using ::atan2f;
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using ::ceil;
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using ::ceilf;
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using ::cos;
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using ::cosf;
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using ::cosh;
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using ::coshf;
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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using ::exp;
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using ::expf;
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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using ::fabs;
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using ::fabsf;
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using ::floor;
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using ::floorf;
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2015-10-09 04:40:34 +08:00
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2011-05-14 05:52:40 +08:00
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using ::fmod;
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using ::fmodf;
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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using ::frexp;
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using ::frexpf;
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using ::ldexp;
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using ::ldexpf;
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2015-10-09 04:40:34 +08:00
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2011-05-14 05:52:40 +08:00
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using ::log;
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using ::logf;
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2010-05-12 03:42:16 +08:00
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2011-05-14 05:52:40 +08:00
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using ::log10;
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using ::log10f;
|
|
|
|
using ::modf;
|
|
|
|
using ::modff;
|
2015-10-09 04:40:34 +08:00
|
|
|
|
2011-05-14 05:52:40 +08:00
|
|
|
using ::pow;
|
|
|
|
using ::powf;
|
|
|
|
|
|
|
|
using ::sin;
|
|
|
|
using ::sinf;
|
|
|
|
using ::sinh;
|
|
|
|
using ::sinhf;
|
2015-10-09 04:40:34 +08:00
|
|
|
|
2011-05-14 05:52:40 +08:00
|
|
|
using ::sqrt;
|
|
|
|
using ::sqrtf;
|
|
|
|
using ::tan;
|
|
|
|
using ::tanf;
|
|
|
|
|
|
|
|
using ::tanh;
|
|
|
|
using ::tanhf;
|
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::acosh;
|
|
|
|
using ::acoshf;
|
|
|
|
using ::asinh;
|
|
|
|
using ::asinhf;
|
|
|
|
using ::atanh;
|
|
|
|
using ::atanhf;
|
|
|
|
using ::cbrt;
|
|
|
|
using ::cbrtf;
|
|
|
|
|
|
|
|
using ::copysign;
|
|
|
|
using ::copysignf;
|
|
|
|
|
|
|
|
using ::erf;
|
|
|
|
using ::erff;
|
|
|
|
using ::erfc;
|
|
|
|
using ::erfcf;
|
|
|
|
using ::exp2;
|
|
|
|
using ::exp2f;
|
|
|
|
using ::expm1;
|
|
|
|
using ::expm1f;
|
|
|
|
using ::fdim;
|
|
|
|
using ::fdimf;
|
2014-03-06 01:09:51 +08:00
|
|
|
using ::fmaf;
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::fma;
|
|
|
|
using ::fmax;
|
|
|
|
using ::fmaxf;
|
|
|
|
using ::fmin;
|
|
|
|
using ::fminf;
|
|
|
|
using ::hypot;
|
|
|
|
using ::hypotf;
|
|
|
|
using ::ilogb;
|
|
|
|
using ::ilogbf;
|
|
|
|
using ::lgamma;
|
|
|
|
using ::lgammaf;
|
|
|
|
using ::llrint;
|
|
|
|
using ::llrintf;
|
|
|
|
using ::llround;
|
|
|
|
using ::llroundf;
|
|
|
|
using ::log1p;
|
|
|
|
using ::log1pf;
|
|
|
|
using ::log2;
|
|
|
|
using ::log2f;
|
|
|
|
using ::logb;
|
|
|
|
using ::logbf;
|
|
|
|
using ::lrint;
|
|
|
|
using ::lrintf;
|
|
|
|
using ::lround;
|
|
|
|
using ::lroundf;
|
2013-08-02 02:17:34 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::nan;
|
|
|
|
using ::nanf;
|
2013-08-02 02:17:34 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::nearbyint;
|
|
|
|
using ::nearbyintf;
|
|
|
|
using ::nextafter;
|
|
|
|
using ::nextafterf;
|
|
|
|
using ::nexttoward;
|
|
|
|
using ::nexttowardf;
|
|
|
|
using ::remainder;
|
|
|
|
using ::remainderf;
|
|
|
|
using ::remquo;
|
|
|
|
using ::remquof;
|
|
|
|
using ::rint;
|
|
|
|
using ::rintf;
|
|
|
|
using ::round;
|
|
|
|
using ::roundf;
|
|
|
|
using ::scalbln;
|
|
|
|
using ::scalblnf;
|
|
|
|
using ::scalbn;
|
|
|
|
using ::scalbnf;
|
|
|
|
using ::tgamma;
|
|
|
|
using ::tgammaf;
|
|
|
|
using ::trunc;
|
|
|
|
using ::truncf;
|
2011-10-28 00:24:42 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
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;
|
2015-10-09 04:40:34 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::tanhl;
|
|
|
|
using ::acoshl;
|
|
|
|
using ::asinhl;
|
|
|
|
using ::atanhl;
|
|
|
|
using ::cbrtl;
|
2015-10-09 04:40:34 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
using ::copysignl;
|
2015-10-09 04:40:34 +08:00
|
|
|
|
2010-05-12 03:42:16 +08:00
|
|
|
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;
|
|
|
|
|
2016-05-17 22:52:19 +08:00
|
|
|
#if _LIBCPP_STD_VER > 14
|
|
|
|
inline _LIBCPP_INLINE_VISIBILITY float hypot( float x, float y, float z ) { return sqrt(x*x + y*y + z*z); }
|
|
|
|
inline _LIBCPP_INLINE_VISIBILITY double hypot( double x, double y, double z ) { return sqrt(x*x + y*y + z*z); }
|
|
|
|
inline _LIBCPP_INLINE_VISIBILITY long double hypot( long double x, long double y, long double z ) { return sqrt(x*x + y*y + z*z); }
|
|
|
|
|
|
|
|
template <class _A1, class _A2, class _A3>
|
|
|
|
inline _LIBCPP_INLINE_VISIBILITY
|
2016-10-02 04:38:44 +08:00
|
|
|
typename __lazy_enable_if
|
2016-05-17 22:52:19 +08:00
|
|
|
<
|
2016-10-02 04:38:44 +08:00
|
|
|
is_arithmetic<_A1>::value &&
|
|
|
|
is_arithmetic<_A2>::value &&
|
|
|
|
is_arithmetic<_A3>::value,
|
|
|
|
__promote<_A1, _A2, _A3>
|
2016-05-17 22:52:19 +08:00
|
|
|
>::type
|
|
|
|
hypot(_A1 __lcpp_x, _A2 __lcpp_y, _A3 __lcpp_z) _NOEXCEPT
|
|
|
|
{
|
2016-10-02 04:38:44 +08:00
|
|
|
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)), "");
|
2016-05-17 22:52:19 +08:00
|
|
|
return hypot((__result_type)__lcpp_x, (__result_type)__lcpp_y, (__result_type)__lcpp_z);
|
|
|
|
}
|
|
|
|
#endif
|
|
|
|
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
|
|
_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
|
2017-07-07 13:13:36 +08:00
|
|
|
__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
{
|
|
|
|
#if __has_builtin(__builtin_isnan)
|
|
|
|
return __builtin_isnan(__lcpp_x);
|
|
|
|
#else
|
|
|
|
return isnan(__lcpp_x);
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
|
|
_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
|
2017-07-07 13:13:36 +08:00
|
|
|
__libcpp_isnan_or_builtin(_A1 __lcpp_x) _NOEXCEPT
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
{
|
|
|
|
return isnan(__lcpp_x);
|
|
|
|
}
|
|
|
|
|
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
|
|
_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
|
2017-07-07 13:13:36 +08:00
|
|
|
__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
{
|
|
|
|
#if __has_builtin(__builtin_isinf)
|
|
|
|
return __builtin_isinf(__lcpp_x);
|
|
|
|
#else
|
|
|
|
return isinf(__lcpp_x);
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
|
|
_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
|
2017-07-07 13:13:36 +08:00
|
|
|
__libcpp_isinf_or_builtin(_A1 __lcpp_x) _NOEXCEPT
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
{
|
|
|
|
return isinf(__lcpp_x);
|
|
|
|
}
|
|
|
|
|
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
|
|
_LIBCPP_CONSTEXPR typename enable_if<is_floating_point<_A1>::value, bool>::type
|
2017-07-07 13:13:36 +08:00
|
|
|
__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT
|
Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
|
|
|
{
|
|
|
|
#if __has_builtin(__builtin_isfinite)
|
|
|
|
return __builtin_isfinite(__lcpp_x);
|
|
|
|
#else
|
|
|
|
return isfinite(__lcpp_x);
|
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
|
|
|
template <class _A1>
|
2018-07-12 07:14:33 +08:00
|
|
|
_LIBCPP_INLINE_VISIBILITY
|
2016-11-16 03:15:57 +08:00
|
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_LIBCPP_CONSTEXPR typename enable_if<!is_floating_point<_A1>::value, bool>::type
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2017-07-07 13:13:36 +08:00
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__libcpp_isfinite_or_builtin(_A1 __lcpp_x) _NOEXCEPT
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Use __builtin_isnan/isinf/isfinite in complex
The libc-provided isnan/isinf/isfinite macro implementations are specifically
designed to function correctly, even in the presence of -ffast-math (or, more
specifically, -ffinite-math-only). As such, on most implementation, these
either always turn into external function calls (e.g. glibc) or are
specifically function calls when FINITE_MATH_ONLY is defined (e.g. Darwin).
Our implementation of complex arithmetic makes heavy use of isnan/isinf/isfinite
to deal with corner cases involving non-finite quantities. This was problematic
in two respects:
1. On systems where these are always function calls (e.g. Linux/glibc), there was a
performance penalty
2. When compiling with -ffast-math, there was a significant performance
penalty (in fact, on Darwin and systems with similar implementations, the code
may in fact be slower than not using -ffast-math, because the inline
definitions provided by libc become unavailable to prevent the checks from
being optimized out).
Eliding these inf/nan checks in -ffast-math mode is consistent with what
happens with libstdc++, and in my experience, what users expect. This is
critical to getting high-performance code when using complex<T>. This change
replaces uses of those functions on basic floating-point types with calls to
__builtin_isnan/isinf/isfinite, which Clang will always expand inline. When
using -ffast-math (or -ffinite-math-only), the optimizer will remove the checks
as expected.
Differential Revision: https://reviews.llvm.org/D18639
llvm-svn: 283051
2016-10-02 04:38:31 +08:00
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{
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return isfinite(__lcpp_x);
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}
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2010-05-12 03:42:16 +08:00
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_LIBCPP_END_NAMESPACE_STD
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#endif // _LIBCPP_CMATH
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