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// Numeric extensions -*- C++ -*-

// Copyright (C) 2002, 2004, 2005, 2009 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

// .

/*

 *

 * 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

 * 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 ext/numeric

 *  This file is a GNU extension to the Standard C++ Library (possibly

 *  containing extensions from the HP/SGI STL subset).

 */

#ifndef _EXT_NUMERIC

#define _EXT_NUMERIC 1

#pragma GCC system_header

#include 

#include 

#include  // For identity_element

_GLIBCXX_BEGIN_NAMESPACE(__gnu_cxx)

  // Returns __x ** __n, where __n >= 0.  _Note that "multiplication"

  // is required to be associative, but not necessarily commutative.

  template

    _Tp

    __power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)

    {

      if (__n == 0)

        return identity_element(__monoid_op);

      else

        {

          while ((__n & 1) == 0)

            {

              __n >>= 1;

              __x = __monoid_op(__x, __x);

            }

          _Tp __result = __x;

          __n >>= 1;

          while (__n != 0)

            {

              __x = __monoid_op(__x, __x);

              if ((__n & 1) != 0)

                __result = __monoid_op(__result, __x);

              __n >>= 1;

            }

          return __result;

        }

    }

  template

    inline _Tp

    __power(_Tp __x, _Integer __n)

    { return __power(__x, __n, std::multiplies<_Tp>()); }

  /**

   *  This is an SGI extension.

   *  @ingroup SGIextensions

   *  @doctodo

  */

  // Alias for the internal name __power.  Note that power is an extension,

  // not part of the C++ standard.

  template

    inline _Tp

    power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)

    { return __power(__x, __n, __monoid_op); }

  /**

   *  This is an SGI extension.

   *  @ingroup SGIextensions

   *  @doctodo

  */

  template

    inline _Tp

    power(_Tp __x, _Integer __n)

    { return __power(__x, __n); }

  /**

   *  This is an SGI extension.

   *  @ingroup SGIextensions

   *  @doctodo

  */

  // iota is not part of the C++ standard.  It is an extension.

  template

    void

    iota(_ForwardIter __first, _ForwardIter __last, _Tp __value)

    {

      // concept requirements

      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<_ForwardIter>)

      __glibcxx_function_requires(_ConvertibleConcept<_Tp,

            typename std::iterator_traits<_ForwardIter>::value_type>)

      while (__first != __last)

        *__first++ = __value++;

    }

_GLIBCXX_END_NAMESPACE

#endif