// <numeric> -*- C++ -*-

// Copyright (C) 2001-2017 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>

#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)
{
namespace __detail
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  // std::abs is not constexpr and doesn't support unsigned integers.
  template<typename _Tp>
    constexpr
    enable_if_t<__and_<is_integral<_Tp>, is_signed<_Tp>>::value, _Tp>
    __abs_integral(_Tp __val)
    { return __val < 0 ? -__val : __val; }

  template<typename _Tp>
    constexpr
    enable_if_t<__and_<is_integral<_Tp>, is_unsigned<_Tp>>::value, _Tp>
    __abs_integral(_Tp __val)
    { return __val; }

  void __abs_integral(bool) = delete;

  template<typename _Mn, typename _Nn>
    constexpr common_type_t<_Mn, _Nn>
    __gcd(_Mn __m, _Nn __n)
    {
      return __m == 0 ? __detail::__abs_integral(__n)
	: __n == 0 ? __detail::__abs_integral(__m)
	: __detail::__gcd(__n, __m % __n);
    }

  /// Least common multiple
  template<typename _Mn, typename _Nn>
    constexpr common_type_t<_Mn, _Nn>
    __lcm(_Mn __m, _Nn __n)
    {
      return (__m != 0 && __n != 0)
	? (__detail::__abs_integral(__m) / __detail::__gcd(__m, __n))
	  * __detail::__abs_integral(__n)
	: 0;
    }

_GLIBCXX_END_NAMESPACE_VERSION
}

_GLIBCXX_BEGIN_NAMESPACE_VERSION

#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)
    {
      static_assert(is_integral<_Mn>::value, "gcd arguments are integers");
      static_assert(is_integral<_Nn>::value, "gcd arguments are integers");
      static_assert(!is_same<_Mn, bool>::value, "gcd arguments are not bools");
      static_assert(!is_same<_Nn, bool>::value, "gcd arguments are not bools");
      return __detail::__gcd(__m, __n);
    }

  /// Least common multiple
  template<typename _Mn, typename _Nn>
    constexpr common_type_t<_Mn, _Nn>
    lcm(_Mn __m, _Nn __n)
    {
      static_assert(is_integral<_Mn>::value, "lcm arguments are integers");
      static_assert(is_integral<_Nn>::value, "lcm arguments are integers");
      static_assert(!is_same<_Mn, bool>::value, "lcm arguments are not bools");
      static_assert(!is_same<_Nn, bool>::value, "lcm arguments are not bools");
      return __detail::__lcm(__m, __n);
    }

#endif // C++17

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

#endif // C++14


#endif /* _GLIBCXX_NUMERIC */
