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 // -*- C++ -*- compatibility header. | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 // Copyright (C) 2002-2021 Free Software Foundation, Inc. | 
 
 
 
 
 
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 // | 
 
 
 
 
 
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 // This file is part of the GNU ISO C++ Library.  This library is free | 
 
 
 
 
 
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 // software; you can redistribute it and/or modify it under the | 
 
 
 
 
 
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 // terms of the GNU General Public License as published by the | 
 
 
 
 
 
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 // Free Software Foundation; either version 3, or (at your option) | 
 
 
 
 
 
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 // any later version. | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 // This library is distributed in the hope that it will be useful, | 
 
 
 
 
 
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 // but WITHOUT ANY WARRANTY; without even the implied warranty of | 
 
 
 
 
 
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 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
 
 
 
 
 
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 // GNU General Public License for more details. | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 // Under Section 7 of GPL version 3, you are granted additional | 
 
 
 
 
 
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 // permissions described in the GCC Runtime Library Exception, version | 
 
 
 
 
 
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 // 3.1, as published by the Free Software Foundation. | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 // You should have received a copy of the GNU General Public License and | 
 
 
 
 
 
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 // a copy of the GCC Runtime Library Exception along with this program; | 
 
 
 
 
 
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 // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see | 
 
 
 
 
 
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 // <http://www.gnu.org/licenses/>. | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 /** @file math.h | 
 
 
 
 
 
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  *  This is a Standard C++ Library header. | 
 
 
 
 
 
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  */ | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #if !defined __cplusplus || defined _GLIBCXX_INCLUDE_NEXT_C_HEADERS | 
 
 
 
 
 
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 # include_next <math.h> | 
 
 
 
 
 
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 #else | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #ifndef _GLIBCXX_MATH_H | 
 
 
 
 
 
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 #define _GLIBCXX_MATH_H 1 | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 # include <cmath> | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 using std::abs; | 
 
 
 
 
 
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 using std::acos; | 
 
 
 
 
 
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 using std::asin; | 
 
 
 
 
 
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 using std::atan; | 
 
 
 
 
 
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 using std::atan2; | 
 
 
 
 
 
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 using std::cos; | 
 
 
 
 
 
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 using std::sin; | 
 
 
 
 
 
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 using std::tan; | 
 
 
 
 
 
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 using std::cosh; | 
 
 
 
 
 
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 using std::sinh; | 
 
 
 
 
 
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 using std::tanh; | 
 
 
 
 
 
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 using std::exp; | 
 
 
 
 
 
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 using std::frexp; | 
 
 
 
 
 
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 using std::ldexp; | 
 
 
 
 
 
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 using std::log; | 
 
 
 
 
 
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 using std::log10; | 
 
 
 
 
 
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 using std::modf; | 
 
 
 
 
 
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 using std::pow; | 
 
 
 
 
 
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 using std::sqrt; | 
 
 
 
 
 
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 using std::ceil; | 
 
 
 
 
 
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 using std::fabs; | 
 
 
 
 
 
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 using std::floor; | 
 
 
 
 
 
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 using std::fmod; | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #if _GLIBCXX_USE_C99_MATH | 
 
 
 
 
 
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 using std::fpclassify; | 
 
 
 
 
 
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 using std::isfinite; | 
 
 
 
 
 
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 using std::isinf; | 
 
 
 
 
 
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 using std::isnan; | 
 
 
 
 
 
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 using std::isnormal; | 
 
 
 
 
 
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 using std::signbit; | 
 
 
 
 
 
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 using std::isgreater; | 
 
 
 
 
 
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 using std::isgreaterequal; | 
 
 
 
 
 
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 using std::isless; | 
 
 
 
 
 
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 using std::islessequal; | 
 
 
 
 
 
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 using std::islessgreater; | 
 
 
 
 
 
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 using std::isunordered; | 
 
 
 
 
 
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 #endif | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #if __cplusplus >= 201103L && defined(_GLIBCXX_USE_C99_MATH_TR1) | 
 
 
 
 
 
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 using std::acosh; | 
 
 
 
 
 
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 using std::asinh; | 
 
 
 
 
 
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 using std::atanh; | 
 
 
 
 
 
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 using std::cbrt; | 
 
 
 
 
 
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 using std::copysign; | 
 
 
 
 
 
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 using std::erf; | 
 
 
 
 
 
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 using std::erfc; | 
 
 
 
 
 
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 using std::exp2; | 
 
 
 
 
 
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 using std::expm1; | 
 
 
 
 
 
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 using std::fdim; | 
 
 
 
 
 
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 using std::fma; | 
 
 
 
 
 
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 using std::fmax; | 
 
 
 
 
 
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 using std::fmin; | 
 
 
 
 
 
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 using std::hypot; | 
 
 
 
 
 
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 using std::ilogb; | 
 
 
 
 
 
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 using std::lgamma; | 
 
 
 
 
 
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 using std::llrint; | 
 
 
 
 
 
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 using std::llround; | 
 
 
 
 
 
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 using std::log1p; | 
 
 
 
 
 
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 using std::log2; | 
 
 
 
 
 
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 using std::logb; | 
 
 
 
 
 
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 using std::lrint; | 
 
 
 
 
 
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 using std::lround; | 
 
 
 
 
 
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 using std::nearbyint; | 
 
 
 
 
 
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 using std::nextafter; | 
 
 
 
 
 
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 using std::nexttoward; | 
 
 
 
 
 
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 using std::remainder; | 
 
 
 
 
 
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 using std::remquo; | 
 
 
 
 
 
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 using std::rint; | 
 
 
 
 
 
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 using std::round; | 
 
 
 
 
 
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 using std::scalbln; | 
 
 
 
 
 
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 using std::scalbn; | 
 
 
 
 
 
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 using std::tgamma; | 
 
 
 
 
 
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 using std::trunc; | 
 
 
 
 
 
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 #endif // C++11 && _GLIBCXX_USE_C99_MATH_TR1 | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 // The mathematical special functions are only added to the global namespace | 
 
 
 
 
 
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 // by IS 29124, but not by C++17. | 
 
 
 
 
 
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 #if __cplusplus >= 201103L && __STDCPP_WANT_MATH_SPEC_FUNCS__ != 0 | 
 
 
 
 
 
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 using std::assoc_laguerref; | 
 
 
 
 
 
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 using std::assoc_laguerrel; | 
 
 
 
 
 
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 using std::assoc_laguerre; | 
 
 
 
 
 
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 using std::assoc_legendref; | 
 
 
 
 
 
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 using std::assoc_legendrel; | 
 
 
 
 
 
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 using std::assoc_legendre; | 
 
 
 
 
 
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 using std::betaf; | 
 
 
 
 
 
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 using std::betal; | 
 
 
 
 
 
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 using std::beta; | 
 
 
 
 
 
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 using std::comp_ellint_1f; | 
 
 
 
 
 
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 using std::comp_ellint_1l; | 
 
 
 
 
 
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 using std::comp_ellint_1; | 
 
 
 
 
 
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 using std::comp_ellint_2f; | 
 
 
 
 
 
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 using std::comp_ellint_2l; | 
 
 
 
 
 
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 using std::comp_ellint_2; | 
 
 
 
 
 
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 using std::comp_ellint_3f; | 
 
 
 
 
 
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 using std::comp_ellint_3l; | 
 
 
 
 
 
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 using std::comp_ellint_3; | 
 
 
 
 
 
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 using std::cyl_bessel_if; | 
 
 
 
 
 
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 using std::cyl_bessel_il; | 
 
 
 
 
 
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 using std::cyl_bessel_i; | 
 
 
 
 
 
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 using std::cyl_bessel_jf; | 
 
 
 
 
 
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 using std::cyl_bessel_jl; | 
 
 
 
 
 
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 using std::cyl_bessel_j; | 
 
 
 
 
 
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 using std::cyl_bessel_kf; | 
 
 
 
 
 
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 using std::cyl_bessel_kl; | 
 
 
 
 
 
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 using std::cyl_bessel_k; | 
 
 
 
 
 
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 using std::cyl_neumannf; | 
 
 
 
 
 
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 using std::cyl_neumannl; | 
 
 
 
 
 
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 using std::cyl_neumann; | 
 
 
 
 
 
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 using std::ellint_1f; | 
 
 
 
 
 
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 using std::ellint_1l; | 
 
 
 
 
 
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 using std::ellint_1; | 
 
 
 
 
 
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 using std::ellint_2f; | 
 
 
 
 
 
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 using std::ellint_2l; | 
 
 
 
 
 
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 using std::ellint_2; | 
 
 
 
 
 
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 using std::ellint_3f; | 
 
 
 
 
 
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 using std::ellint_3l; | 
 
 
 
 
 
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 using std::ellint_3; | 
 
 
 
 
 
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 using std::expintf; | 
 
 
 
 
 
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 using std::expintl; | 
 
 
 
 
 
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 using std::expint; | 
 
 
 
 
 
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 using std::hermitef; | 
 
 
 
 
 
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 using std::hermitel; | 
 
 
 
 
 
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 using std::hermite; | 
 
 
 
 
 
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 using std::laguerref; | 
 
 
 
 
 
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 using std::laguerrel; | 
 
 
 
 
 
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 using std::laguerre; | 
 
 
 
 
 
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 using std::legendref; | 
 
 
 
 
 
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 using std::legendrel; | 
 
 
 
 
 
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 using std::legendre; | 
 
 
 
 
 
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 using std::riemann_zetaf; | 
 
 
 
 
 
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 using std::riemann_zetal; | 
 
 
 
 
 
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 using std::riemann_zeta; | 
 
 
 
 
 
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 using std::sph_besself; | 
 
 
 
 
 
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 using std::sph_bessell; | 
 
 
 
 
 
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 using std::sph_bessel; | 
 
 
 
 
 
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 using std::sph_legendref; | 
 
 
 
 
 
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 using std::sph_legendrel; | 
 
 
 
 
 
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 using std::sph_legendre; | 
 
 
 
 
 
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 using std::sph_neumannf; | 
 
 
 
 
 
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 using std::sph_neumannl; | 
 
 
 
 
 
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 using std::sph_neumann; | 
 
 
 
 
 
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 #endif // _GLIBCXX_USE_STD_SPEC_FUNCS | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #if __cplusplus > 201703L | 
 
 
 
 
 
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 using std::lerp; | 
 
 
 
 
 
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 #endif // C++20 | 
 
 
 
 
 
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  | 
 
 
 
 
 
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 #endif // _GLIBCXX_MATH_H | 
 
 
 
 
 
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 #endif // __cplusplus |