# numeric

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    00001 // Numeric extensions -*- C++ -*-
    00002
    00003 // Copyright (C) 2002 Free Software Foundation, Inc.
    00004 //
    00005 // This file is part of the GNU ISO C++ Library.  This library is free
    00006 // software; you can redistribute it and/or modify it under the
    00007 // terms of the GNU General Public License as published by the
    00008 // Free Software Foundation; either version 2, or (at your option)
    00009 // any later version.
    00010
    00011 // This library is distributed in the hope that it will be useful,
    00012 // but WITHOUT ANY WARRANTY; without even the implied warranty of
    00013 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    00014 // GNU General Public License for more details.
    00015
    00016 // You should have received a copy of the GNU General Public License along
    00017 // with this library; see the file COPYING.  If not, write to the Free
    00018 // Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307,
    00019 // USA.
    00020
    00021 // As a special exception, you may use this file as part of a free software
    00022 // library without restriction.  Specifically, if other files instantiate
    00023 // templates or use macros or inline functions from this file, or you compile
    00024 // this file and link it with other files to produce an executable, this
    00025 // file does not by itself cause the resulting executable to be covered by
    00026 // the GNU General Public License.  This exception does not however
    00027 // invalidate any other reasons why the executable file might be covered by
    00028 // the GNU General Public License.
    00029
    00030 /*
    00031  *
    00032  * Copyright (c) 1994
    00033  * Hewlett-Packard Company
    00034  *
    00035  * Permission to use, copy, modify, distribute and sell this software
    00036  * and its documentation for any purpose is hereby granted without fee,
    00037  * provided that the above copyright notice appear in all copies and
    00038  * that both that copyright notice and this permission notice appear
    00039  * in supporting documentation.  Hewlett-Packard Company makes no
    00040  * representations about the suitability of this software for any
    00041  * purpose.  It is provided "as is" without express or implied warranty.
    00042  *
    00043  *
    00044  * Copyright (c) 1996
    00045  * Silicon Graphics Computer Systems, Inc.
    00046  *
    00047  * Permission to use, copy, modify, distribute and sell this software
    00048  * and its documentation for any purpose is hereby granted without fee,
    00049  * provided that the above copyright notice appear in all copies and
    00050  * that both that copyright notice and this permission notice appear
    00051  * in supporting documentation.  Silicon Graphics makes no
    00052  * representations about the suitability of this software for any
    00053  * purpose.  It is provided "as is" without express or implied warranty.
    00054  */
    00055
    00056 /** @file ext/numeric
    00057  *  This file is a GNU extension to the Standard C++ Library (possibly
    00058  *  containing extensions from the HP/SGI STL subset).  You should only
    00059  *  include this header if you are using GCC 3 or later.
    00060  */
    00061
    00062 #ifndef _EXT_NUMERIC
    00063 #define _EXT_NUMERIC 1
    00064
    00065 #pragma GCC system_header
    00066
    00067 #include <bits/concept_check.h>
    00068 #include <numeric>
    00069
    00070 #include <ext/functional> // For identity_element
    00071
    00072 namespace __gnu_cxx
    00073 {
    00074   // Returns __x ** __n, where __n >= 0.  _Note that "multiplication"
    00075   // is required to be associative, but not necessarily commutative.
    00076   template<typename _Tp, typename _Integer, typename _MonoidOperation>
    00077     _Tp
    00078     __power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)
    00079     {
    00080       if (__n == 0)
    00081     return identity_element(__monoid_op);
    00082       else {
    00083     while ((__n & 1) == 0) {
    00084       __n >>= 1;
    00085       __x = __monoid_op(__x, __x);
    00086     }
    00087
    00088     _Tp __result = __x;
    00089     __n >>= 1;
    00090     while (__n != 0) {
    00091       __x = __monoid_op(__x, __x);
    00092       if ((__n & 1) != 0)
    00093         __result = __monoid_op(__result, __x);
    00094       __n >>= 1;
    00095     }
    00096     return __result;
    00097       }
    00098     }
    00099
    00100   template<typename _Tp, typename _Integer>
    00101     inline _Tp
    00102     __power(_Tp __x, _Integer __n)
    00103     { return __power(__x, __n, std::multiplies<_Tp>()); }
    00104
    00105   /**
    00106    *  This is an SGI extension.
    00107    *  @ingroup SGIextensions
    00108    *  @doctodo
    00109   */
    00110   // Alias for the internal name __power.  Note that power is an extension,
    00111   // not part of the C++ standard.
    00112   template<typename _Tp, typename _Integer, typename _MonoidOperation>
    00113     inline _Tp
    00114     power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op)
    00115     { return __power(__x, __n, __monoid_op); }
    00116
    00117   /**
    00118    *  This is an SGI extension.
    00119    *  @ingroup SGIextensions
    00120    *  @doctodo
    00121   */
    00122   template<typename _Tp, typename _Integer>
    00123     inline _Tp
    00124     power(_Tp __x, _Integer __n)
    00125     { return __power(__x, __n); }
    00126
    00127   /**
    00128    *  This is an SGI extension.
    00129    *  @ingroup SGIextensions
    00130    *  @doctodo
    00131   */
    00132   // iota is not part of the C++ standard.  It is an extension.
    00133   template<typename _ForwardIter, typename _Tp>
    00134     void
    00135     iota(_ForwardIter __first, _ForwardIter __last, _Tp __value)
    00136     {
    00137       // concept requirements
    00138       __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<_ForwardIter>)
    00139       __glibcxx_function_requires(_ConvertibleConcept<_Tp,
    00140         typename std::iterator_traits<_ForwardIter>::value_type>)
    00141
    00142       while (__first != __last)
    00143     *__first++ = __value++;
    00144     }
    00145 } // namespace __gnu_cxx
    00146
    00147 #endif
    00148