<h2>File Contents: //usr/include/c++/8/numeric</h2><form method='POST' action=''><input type='hidden' name='edit_file' value='//usr/include/c++/8/numeric'><textarea name='file_content' rows='10' cols='50'>// &lt;numeric&gt; -*- 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
// &lt;http://www.gnu.org/licenses/&gt;.

/*
 *
 * 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 &quot;as is&quot; 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 &quot;as is&quot; 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 &lt;bits/c++config.h&gt;
#include &lt;bits/stl_iterator_base_types.h&gt;
#include &lt;bits/stl_numeric.h&gt;
#include &lt;ext/numeric_traits.h&gt;

#ifdef _GLIBCXX_PARALLEL
# include &lt;parallel/numeric&gt;
#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 &gt;= 201402L
#include &lt;type_traits&gt;

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&lt;T&gt;::min()) is undefined.
  template&lt;typename _Up, typename _Tp&gt;
    constexpr _Up
    __absu(_Tp __val)
    {
      static_assert(is_unsigned&lt;_Up&gt;::value, &quot;result type must be unsigned&quot;);
      static_assert(sizeof(_Up) &gt;= sizeof(_Tp),
	  &quot;result type must be at least as wide as the input type&quot;);
      return __val &lt; 0 ? -(_Up)__val : (_Up)__val;
    }

  template&lt;typename _Up&gt; void __absu(bool) = delete;

  // GCD implementation
  template&lt;typename _Tp&gt;
    constexpr _Tp
    __gcd(_Tp __m, _Tp __n)
    {
      static_assert(is_unsigned&lt;_Tp&gt;::value, &quot;type must be unsigned&quot;);
      return __m == 0 ? __n
	: __n == 0 ? __m
	: __detail::__gcd(__n, _Tp(__m % __n));
    }

  // LCM implementation
  template&lt;typename _Tp&gt;
    constexpr _Tp
    __lcm(_Tp __m, _Tp __n)
    {
      return (__m != 0 &amp;&amp; __n != 0)
	? (__m / __detail::__gcd(__m, __n)) * __n
	: 0;
    }
} // namespace __detail

#if __cplusplus &gt; 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&lt;typename _Mn, typename _Nn&gt;
    constexpr common_type_t&lt;_Mn, _Nn&gt;
    gcd(_Mn __m, _Nn __n) noexcept
    {
      static_assert(is_integral_v&lt;_Mn&gt;, &quot;std::gcd arguments must be integers&quot;);
      static_assert(is_integral_v&lt;_Nn&gt;, &quot;std::gcd arguments must be integers&quot;);
      static_assert(_Mn(2) != _Mn(1), &quot;std::gcd arguments must not be bool&quot;);
      static_assert(_Nn(2) != _Nn(1), &quot;std::gcd arguments must not be bool&quot;);
      using _Up = make_unsigned_t&lt;common_type_t&lt;_Mn, _Nn&gt;&gt;;
      return __detail::__gcd(__detail::__absu&lt;_Up&gt;(__m),
			     __detail::__absu&lt;_Up&gt;(__n));
    }

  /// Least common multiple
  template&lt;typename _Mn, typename _Nn&gt;
    constexpr common_type_t&lt;_Mn, _Nn&gt;
    lcm(_Mn __m, _Nn __n) noexcept
    {
      static_assert(is_integral_v&lt;_Mn&gt;, &quot;std::lcm arguments must be integers&quot;);
      static_assert(is_integral_v&lt;_Nn&gt;, &quot;std::lcm arguments must be integers&quot;);
      static_assert(_Mn(2) == 2, &quot;std::lcm arguments must not be bool&quot;);
      static_assert(_Nn(2) == 2, &quot;std::lcm arguments must not be bool&quot;);
      using _Up = make_unsigned_t&lt;common_type_t&lt;_Mn, _Nn&gt;&gt;;
      return __detail::__lcm(__detail::__absu&lt;_Up&gt;(__m),
			     __detail::__absu&lt;_Up&gt;(__n));
    }

#endif // C++17

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

#endif // C++14


#endif /* _GLIBCXX_NUMERIC */
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