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Code Editor : numeric
// <numeric> -*- C++ -*- // Copyright (C) 2001-2018 Free Software Foundation, Inc. // // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // Under Section 7 of GPL version 3, you are granted additional // permissions described in the GCC Runtime Library Exception, version // 3.1, as published by the Free Software Foundation. // You should have received a copy of the GNU General Public License and // a copy of the GCC Runtime Library Exception along with this program; // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see // <http://www.gnu.org/licenses/>. /* * * Copyright (c) 1994 * Hewlett-Packard Company * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Hewlett-Packard Company makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * * Copyright (c) 1996,1997 * Silicon Graphics Computer Systems, Inc. * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Silicon Graphics makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. */ /** @file include/numeric * This is a Standard C++ Library header. */ #ifndef _GLIBCXX_NUMERIC #define _GLIBCXX_NUMERIC 1 #pragma GCC system_header #include <bits/c++config.h> #include <bits/stl_iterator_base_types.h> #include <bits/stl_numeric.h> #include <ext/numeric_traits.h> #ifdef _GLIBCXX_PARALLEL # include <parallel/numeric> #endif /** * @defgroup numerics Numerics * * Components for performing numeric operations. Includes support for * for complex number types, random number generation, numeric * (n-at-a-time) arrays, generalized numeric algorithms, and special * math functions. */ #if __cplusplus >= 201402L #include <type_traits> namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION namespace __detail { // std::abs is not constexpr, doesn't support unsigned integers, // and std::abs(std::numeric_limits<T>::min()) is undefined. template<typename _Up, typename _Tp> constexpr _Up __absu(_Tp __val) { static_assert(is_unsigned<_Up>::value, "result type must be unsigned"); static_assert(sizeof(_Up) >= sizeof(_Tp), "result type must be at least as wide as the input type"); return __val < 0 ? -(_Up)__val : (_Up)__val; } template<typename _Up> void __absu(bool) = delete; // GCD implementation template<typename _Tp> constexpr _Tp __gcd(_Tp __m, _Tp __n) { static_assert(is_unsigned<_Tp>::value, "type must be unsigned"); return __m == 0 ? __n : __n == 0 ? __m : __detail::__gcd(__n, _Tp(__m % __n)); } // LCM implementation template<typename _Tp> constexpr _Tp __lcm(_Tp __m, _Tp __n) { return (__m != 0 && __n != 0) ? (__m / __detail::__gcd(__m, __n)) * __n : 0; } } // namespace __detail #if __cplusplus > 201402L #define __cpp_lib_gcd_lcm 201606 // These were used in drafts of SD-6: #define __cpp_lib_gcd 201606 #define __cpp_lib_lcm 201606 /// Greatest common divisor template<typename _Mn, typename _Nn> constexpr common_type_t<_Mn, _Nn> gcd(_Mn __m, _Nn __n) noexcept { static_assert(is_integral_v<_Mn>, "std::gcd arguments must be integers"); static_assert(is_integral_v<_Nn>, "std::gcd arguments must be integers"); static_assert(_Mn(2) != _Mn(1), "std::gcd arguments must not be bool"); static_assert(_Nn(2) != _Nn(1), "std::gcd arguments must not be bool"); using _Up = make_unsigned_t<common_type_t<_Mn, _Nn>>; return __detail::__gcd(__detail::__absu<_Up>(__m), __detail::__absu<_Up>(__n)); } /// Least common multiple template<typename _Mn, typename _Nn> constexpr common_type_t<_Mn, _Nn> lcm(_Mn __m, _Nn __n) noexcept { static_assert(is_integral_v<_Mn>, "std::lcm arguments must be integers"); static_assert(is_integral_v<_Nn>, "std::lcm arguments must be integers"); static_assert(_Mn(2) == 2, "std::lcm arguments must not be bool"); static_assert(_Nn(2) == 2, "std::lcm arguments must not be bool"); using _Up = make_unsigned_t<common_type_t<_Mn, _Nn>>; return __detail::__lcm(__detail::__absu<_Up>(__m), __detail::__absu<_Up>(__n)); } #endif // C++17 _GLIBCXX_END_NAMESPACE_VERSION } // namespace std #endif // C++14 #endif /* _GLIBCXX_NUMERIC */
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