ext/numeric

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// Numeric extensions -*- C++ -*-
 
// Copyright (C) 2002-2026 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
 * 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
 
#ifdef _GLIBCXX_SYSHDR
#pragma GCC system_header
#endif
 
#include <bits/requires_hosted.h> // GNU extensions are currently omitted
 
#include <bits/concept_check.h>
#include <numeric>
 
#include <ext/functional> // For identity_element
 
namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION
 
  // Returns __x ** __n, where __n >= 0.  _Note that "multiplication"
  // is required to be associative, but not necessarily commutative.
  template<typename _Tp, typename _Integer, typename _MonoidOperation>
    _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<typename _Tp, typename _Integer>
    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<typename _Tp, typename _Integer, typename _MonoidOperation>
    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<typename _Tp, typename _Integer>
    inline _Tp
    power(_Tp __x, _Integer __n)
    { return __power(__x, __n); }
 
#if __cplusplus >= 201103L
  using std::iota;
#else
  /**
   *  This is an SGI extension.
   *  @ingroup SGIextensions
   *  @doctodo
  */
  // iota is not part of the standard until C++11.  It is an extension.
  template<typename _ForwardIter, typename _Tp>
    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++;
    }
#endif  // C++11
 
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace
 
#endif