| 1 | 
 // Numeric extensions -*- C++ -*- | 
 
 
 
 
 
 | 2 | 
  | 
 
 
 
 
 
 | 3 | 
 // Copyright (C) 2002-2021 Free Software Foundation, Inc. | 
 
 
 
 
 
 | 4 | 
 // | 
 
 
 
 
 
 | 5 | 
 // This file is part of the GNU ISO C++ Library.  This library is free | 
 
 
 
 
 
 | 6 | 
 // software; you can redistribute it and/or modify it under the | 
 
 
 
 
 
 | 7 | 
 // terms of the GNU General Public License as published by the | 
 
 
 
 
 
 | 8 | 
 // Free Software Foundation; either version 3, or (at your option) | 
 
 
 
 
 
 | 9 | 
 // any later version. | 
 
 
 
 
 
 | 10 | 
  | 
 
 
 
 
 
 | 11 | 
 // This library is distributed in the hope that it will be useful, | 
 
 
 
 
 
 | 12 | 
 // but WITHOUT ANY WARRANTY; without even the implied warranty of | 
 
 
 
 
 
 | 13 | 
 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the | 
 
 
 
 
 
 | 14 | 
 // GNU General Public License for more details. | 
 
 
 
 
 
 | 15 | 
  | 
 
 
 
 
 
 | 16 | 
 // Under Section 7 of GPL version 3, you are granted additional | 
 
 
 
 
 
 | 17 | 
 // permissions described in the GCC Runtime Library Exception, version | 
 
 
 
 
 
 | 18 | 
 // 3.1, as published by the Free Software Foundation. | 
 
 
 
 
 
 | 19 | 
  | 
 
 
 
 
 
 | 20 | 
 // You should have received a copy of the GNU General Public License and | 
 
 
 
 
 
 | 21 | 
 // a copy of the GCC Runtime Library Exception along with this program; | 
 
 
 
 
 
 | 22 | 
 // see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see | 
 
 
 
 
 
 | 23 | 
 // <http://www.gnu.org/licenses/>. | 
 
 
 
 
 
 | 24 | 
  | 
 
 
 
 
 
 | 25 | 
 /* | 
 
 
 
 
 
 | 26 | 
  * | 
 
 
 
 
 
 | 27 | 
  * Copyright (c) 1994 | 
 
 
 
 
 
 | 28 | 
  * Hewlett-Packard Company | 
 
 
 
 
 
 | 29 | 
  * | 
 
 
 
 
 
 | 30 | 
  * Permission to use, copy, modify, distribute and sell this software | 
 
 
 
 
 
 | 31 | 
  * and its documentation for any purpose is hereby granted without fee, | 
 
 
 
 
 
 | 32 | 
  * provided that the above copyright notice appear in all copies and | 
 
 
 
 
 
 | 33 | 
  * that both that copyright notice and this permission notice appear | 
 
 
 
 
 
 | 34 | 
  * in supporting documentation.  Hewlett-Packard Company makes no | 
 
 
 
 
 
 | 35 | 
  * representations about the suitability of this software for any | 
 
 
 
 
 
 | 36 | 
  * purpose.  It is provided "as is" without express or implied warranty. | 
 
 
 
 
 
 | 37 | 
  * | 
 
 
 
 
 
 | 38 | 
  * | 
 
 
 
 
 
 | 39 | 
  * Copyright (c) 1996 | 
 
 
 
 
 
 | 40 | 
  * Silicon Graphics Computer Systems, Inc. | 
 
 
 
 
 
 | 41 | 
  * | 
 
 
 
 
 
 | 42 | 
  * Permission to use, copy, modify, distribute and sell this software | 
 
 
 
 
 
 | 43 | 
  * and its documentation for any purpose is hereby granted without fee, | 
 
 
 
 
 
 | 44 | 
  * provided that the above copyright notice appear in all copies and | 
 
 
 
 
 
 | 45 | 
  * that both that copyright notice and this permission notice appear | 
 
 
 
 
 
 | 46 | 
  * in supporting documentation.  Silicon Graphics makes no | 
 
 
 
 
 
 | 47 | 
  * representations about the suitability of this software for any | 
 
 
 
 
 
 | 48 | 
  * purpose.  It is provided "as is" without express or implied warranty. | 
 
 
 
 
 
 | 49 | 
  */ | 
 
 
 
 
 
 | 50 | 
  | 
 
 
 
 
 
 | 51 | 
 /** @file ext/numeric | 
 
 
 
 
 
 | 52 | 
  *  This file is a GNU extension to the Standard C++ Library (possibly | 
 
 
 
 
 
 | 53 | 
  *  containing extensions from the HP/SGI STL subset).  | 
 
 
 
 
 
 | 54 | 
  */ | 
 
 
 
 
 
 | 55 | 
  | 
 
 
 
 
 
 | 56 | 
 #ifndef _EXT_NUMERIC | 
 
 
 
 
 
 | 57 | 
 #define _EXT_NUMERIC 1 | 
 
 
 
 
 
 | 58 | 
  | 
 
 
 
 
 
 | 59 | 
 #pragma GCC system_header | 
 
 
 
 
 
 | 60 | 
  | 
 
 
 
 
 
 | 61 | 
 #include <bits/concept_check.h> | 
 
 
 
 
 
 | 62 | 
 #include <numeric> | 
 
 
 
 
 
 | 63 | 
  | 
 
 
 
 
 
 | 64 | 
 #include <ext/functional> // For identity_element | 
 
 
 
 
 
 | 65 | 
  | 
 
 
 
 
 
 | 66 | 
 namespace __gnu_cxx _GLIBCXX_VISIBILITY(default) | 
 
 
 
 
 
 | 67 | 
 { | 
 
 
 
 
 
 | 68 | 
 _GLIBCXX_BEGIN_NAMESPACE_VERSION | 
 
 
 
 
 
 | 69 | 
  | 
 
 
 
 
 
 | 70 | 
   // Returns __x ** __n, where __n >= 0.  _Note that "multiplication" | 
 
 
 
 
 
 | 71 | 
   // is required to be associative, but not necessarily commutative. | 
 
 
 
 
 
 | 72 | 
   template<typename _Tp, typename _Integer, typename _MonoidOperation> | 
 
 
 
 
 
 | 73 | 
     _Tp | 
 
 
 
 
 
 | 74 | 
     __power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op) | 
 
 
 
 
 
 | 75 | 
     { | 
 
 
 
 
 
 | 76 | 
       if (__n == 0) | 
 
 
 
 
 
 | 77 | 
         return identity_element(__monoid_op); | 
 
 
 
 
 
 | 78 | 
       else | 
 
 
 
 
 
 | 79 | 
         { | 
 
 
 
 
 
 | 80 | 
           while ((__n & 1) == 0) | 
 
 
 
 
 
 | 81 | 
             { | 
 
 
 
 
 
 | 82 | 
               __n >>= 1; | 
 
 
 
 
 
 | 83 | 
               __x = __monoid_op(__x, __x); | 
 
 
 
 
 
 | 84 | 
             } | 
 
 
 
 
 
 | 85 | 
  | 
 
 
 
 
 
 | 86 | 
           _Tp __result = __x; | 
 
 
 
 
 
 | 87 | 
           __n >>= 1; | 
 
 
 
 
 
 | 88 | 
           while (__n != 0) | 
 
 
 
 
 
 | 89 | 
             { | 
 
 
 
 
 
 | 90 | 
               __x = __monoid_op(__x, __x); | 
 
 
 
 
 
 | 91 | 
               if ((__n & 1) != 0) | 
 
 
 
 
 
 | 92 | 
                 __result = __monoid_op(__result, __x); | 
 
 
 
 
 
 | 93 | 
               __n >>= 1; | 
 
 
 
 
 
 | 94 | 
             } | 
 
 
 
 
 
 | 95 | 
           return __result; | 
 
 
 
 
 
 | 96 | 
         } | 
 
 
 
 
 
 | 97 | 
     } | 
 
 
 
 
 
 | 98 | 
  | 
 
 
 
 
 
 | 99 | 
   template<typename _Tp, typename _Integer> | 
 
 
 
 
 
 | 100 | 
     inline _Tp | 
 
 
 
 
 
 | 101 | 
     __power(_Tp __x, _Integer __n) | 
 
 
 
 
 
 | 102 | 
     { return __power(__x, __n, std::multiplies<_Tp>()); } | 
 
 
 
 
 
 | 103 | 
  | 
 
 
 
 
 
 | 104 | 
   /** | 
 
 
 
 
 
 | 105 | 
    *  This is an SGI extension. | 
 
 
 
 
 
 | 106 | 
    *  @ingroup SGIextensions | 
 
 
 
 
 
 | 107 | 
    *  @doctodo | 
 
 
 
 
 
 | 108 | 
   */ | 
 
 
 
 
 
 | 109 | 
   // Alias for the internal name __power.  Note that power is an extension, | 
 
 
 
 
 
 | 110 | 
   // not part of the C++ standard. | 
 
 
 
 
 
 | 111 | 
   template<typename _Tp, typename _Integer, typename _MonoidOperation> | 
 
 
 
 
 
 | 112 | 
     inline _Tp | 
 
 
 
 
 
 | 113 | 
     power(_Tp __x, _Integer __n, _MonoidOperation __monoid_op) | 
 
 
 
 
 
 | 114 | 
     { return __power(__x, __n, __monoid_op); } | 
 
 
 
 
 
 | 115 | 
  | 
 
 
 
 
 
 | 116 | 
   /** | 
 
 
 
 
 
 | 117 | 
    *  This is an SGI extension. | 
 
 
 
 
 
 | 118 | 
    *  @ingroup SGIextensions | 
 
 
 
 
 
 | 119 | 
    *  @doctodo | 
 
 
 
 
 
 | 120 | 
   */ | 
 
 
 
 
 
 | 121 | 
   template<typename _Tp, typename _Integer> | 
 
 
 
 
 
 | 122 | 
     inline _Tp | 
 
 
 
 
 
 | 123 | 
     power(_Tp __x, _Integer __n) | 
 
 
 
 
 
 | 124 | 
     { return __power(__x, __n); } | 
 
 
 
 
 
 | 125 | 
  | 
 
 
 
 
 
 | 126 | 
 #if __cplusplus >= 201103L | 
 
 
 
 
 
 | 127 | 
   using std::iota; | 
 
 
 
 
 
 | 128 | 
 #else | 
 
 
 
 
 
 | 129 | 
   /** | 
 
 
 
 
 
 | 130 | 
    *  This is an SGI extension. | 
 
 
 
 
 
 | 131 | 
    *  @ingroup SGIextensions | 
 
 
 
 
 
 | 132 | 
    *  @doctodo | 
 
 
 
 
 
 | 133 | 
   */ | 
 
 
 
 
 
 | 134 | 
   // iota is not part of the standard until C++11.  It is an extension. | 
 
 
 
 
 
 | 135 | 
   template<typename _ForwardIter, typename _Tp> | 
 
 
 
 
 
 | 136 | 
     void | 
 
 
 
 
 
 | 137 | 
     iota(_ForwardIter __first, _ForwardIter __last, _Tp __value) | 
 
 
 
 
 
 | 138 | 
     { | 
 
 
 
 
 
 | 139 | 
       // concept requirements | 
 
 
 
 
 
 | 140 | 
       __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<_ForwardIter>) | 
 
 
 
 
 
 | 141 | 
       __glibcxx_function_requires(_ConvertibleConcept<_Tp, | 
 
 
 
 
 
 | 142 | 
             typename std::iterator_traits<_ForwardIter>::value_type>) | 
 
 
 
 
 
 | 143 | 
  | 
 
 
 
 
 
 | 144 | 
       while (__first != __last) | 
 
 
 
 
 
 | 145 | 
         *__first++ = __value++; | 
 
 
 
 
 
 | 146 | 
     } | 
 
 
 
 
 
 | 147 | 
 #endif  // C++11 | 
 
 
 
 
 
 | 148 | 
  | 
 
 
 
 
 
 | 149 | 
 _GLIBCXX_END_NAMESPACE_VERSION | 
 
 
 
 
 
 | 150 | 
 } // namespace | 
 
 
 
 
 
 | 151 | 
  | 
 
 
 
 
 
 | 152 | 
 #endif |