algorithm

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00001 // Algorithm extensions -*- C++ -*-
00002 
00003 // Copyright (C) 2001, 2002, 2004 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, 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301,
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 
00061 #ifndef _EXT_ALGORITHM
00062 #define _EXT_ALGORITHM 1
00063 
00064 #pragma GCC system_header
00065 
00066 #include <algorithm>
00067 
00068 namespace __gnu_cxx
00069 {
00070   using std::ptrdiff_t;
00071   using std::min;
00072   using std::pair;
00073   using std::input_iterator_tag;
00074   using std::random_access_iterator_tag;
00075   using std::iterator_traits;
00076 
00077   //--------------------------------------------------
00078   // copy_n (not part of the C++ standard)
00079 
00080   template<typename _InputIterator, typename _Size, typename _OutputIterator>
00081     pair<_InputIterator, _OutputIterator>
00082     __copy_n(_InputIterator __first, _Size __count,
00083          _OutputIterator __result,
00084          input_iterator_tag)
00085     {
00086       for ( ; __count > 0; --__count)
00087     {
00088       *__result = *__first;
00089       ++__first;
00090       ++__result;
00091     }
00092       return pair<_InputIterator, _OutputIterator>(__first, __result);
00093     }
00094 
00095   template<typename _RAIterator, typename _Size, typename _OutputIterator>
00096     inline pair<_RAIterator, _OutputIterator>
00097     __copy_n(_RAIterator __first, _Size __count,
00098          _OutputIterator __result,
00099          random_access_iterator_tag)
00100     {
00101       _RAIterator __last = __first + __count;
00102       return pair<_RAIterator, _OutputIterator>(__last, std::copy(__first,
00103                                   __last,
00104                                   __result));
00105     }
00106 
00121   template<typename _InputIterator, typename _Size, typename _OutputIterator>
00122     inline pair<_InputIterator, _OutputIterator>
00123     copy_n(_InputIterator __first, _Size __count, _OutputIterator __result)
00124     {
00125       // concept requirements
00126       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00127       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00128         typename iterator_traits<_InputIterator>::value_type>)
00129 
00130       return __copy_n(__first, __count, __result,
00131               std::__iterator_category(__first));
00132     }
00133 
00134   template<typename _InputIterator1, typename _InputIterator2>
00135     int
00136     __lexicographical_compare_3way(_InputIterator1 __first1,
00137                    _InputIterator1 __last1,
00138                    _InputIterator2 __first2,
00139                    _InputIterator2 __last2)
00140     {
00141       while (__first1 != __last1 && __first2 != __last2)
00142     {
00143       if (*__first1 < *__first2)
00144         return -1;
00145       if (*__first2 < *__first1)
00146         return 1;
00147       ++__first1;
00148       ++__first2;
00149     }
00150       if (__first2 == __last2)
00151     return !(__first1 == __last1);
00152       else
00153     return -1;
00154     }
00155 
00156   inline int
00157   __lexicographical_compare_3way(const unsigned char* __first1,
00158                  const unsigned char* __last1,
00159                  const unsigned char* __first2,
00160                  const unsigned char* __last2)
00161   {
00162     const ptrdiff_t __len1 = __last1 - __first1;
00163     const ptrdiff_t __len2 = __last2 - __first2;
00164     const int __result = std::memcmp(__first1, __first2, min(__len1, __len2));
00165     return __result != 0 ? __result
00166              : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
00167   }
00168 
00169   inline int
00170   __lexicographical_compare_3way(const char* __first1, const char* __last1,
00171                  const char* __first2, const char* __last2)
00172   {
00173 #if CHAR_MAX == SCHAR_MAX
00174     return __lexicographical_compare_3way((const signed char*) __first1,
00175                       (const signed char*) __last1,
00176                       (const signed char*) __first2,
00177                       (const signed char*) __last2);
00178 #else
00179     return __lexicographical_compare_3way((const unsigned char*) __first1,
00180                       (const unsigned char*) __last1,
00181                       (const unsigned char*) __first2,
00182                       (const unsigned char*) __last2);
00183 #endif
00184   }
00185 
00200   template<typename _InputIterator1, typename _InputIterator2>
00201     int
00202     lexicographical_compare_3way(_InputIterator1 __first1,
00203                  _InputIterator1 __last1,
00204                  _InputIterator2 __first2,
00205                  _InputIterator2 __last2)
00206     {
00207       // concept requirements
00208       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
00209       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
00210       __glibcxx_function_requires(_LessThanComparableConcept<
00211         typename iterator_traits<_InputIterator1>::value_type>)
00212       __glibcxx_function_requires(_LessThanComparableConcept<
00213         typename iterator_traits<_InputIterator2>::value_type>)
00214       __glibcxx_requires_valid_range(__first1, __last1);
00215       __glibcxx_requires_valid_range(__first2, __last2);
00216 
00217       return __lexicographical_compare_3way(__first1, __last1, __first2,
00218                         __last2);
00219     }
00220 
00221   // count and count_if: this version, whose return type is void, was present
00222   // in the HP STL, and is retained as an extension for backward compatibility.
00223   template<typename _InputIterator, typename _Tp, typename _Size>
00224     void
00225     count(_InputIterator __first, _InputIterator __last,
00226       const _Tp& __value,
00227       _Size& __n)
00228     {
00229       // concept requirements
00230       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00231       __glibcxx_function_requires(_EqualityComparableConcept<
00232         typename iterator_traits<_InputIterator>::value_type >)
00233       __glibcxx_function_requires(_EqualityComparableConcept<_Tp>)
00234       __glibcxx_requires_valid_range(__first, __last);
00235 
00236       for ( ; __first != __last; ++__first)
00237     if (*__first == __value)
00238       ++__n;
00239     }
00240 
00241   template<typename _InputIterator, typename _Predicate, typename _Size>
00242     void
00243     count_if(_InputIterator __first, _InputIterator __last,
00244          _Predicate __pred,
00245          _Size& __n)
00246     {
00247       // concept requirements
00248       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00249       __glibcxx_function_requires(_UnaryPredicateConcept<_Predicate,
00250         typename iterator_traits<_InputIterator>::value_type>)
00251       __glibcxx_requires_valid_range(__first, __last);
00252 
00253       for ( ; __first != __last; ++__first)
00254     if (__pred(*__first))
00255       ++__n;
00256     }
00257 
00258   // random_sample and random_sample_n (extensions, not part of the standard).
00259 
00265   template<typename _ForwardIterator, typename _OutputIterator,
00266        typename _Distance>
00267     _OutputIterator
00268     random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
00269                     _OutputIterator __out, const _Distance __n)
00270     {
00271       // concept requirements
00272       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00273       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00274         typename iterator_traits<_ForwardIterator>::value_type>)
00275       __glibcxx_requires_valid_range(__first, __last);
00276 
00277       _Distance __remaining = std::distance(__first, __last);
00278       _Distance __m = min(__n, __remaining);
00279 
00280       while (__m > 0)
00281     {
00282       if ((std::rand() % __remaining) < __m)
00283         {
00284           *__out = *__first;
00285           ++__out;
00286           --__m;
00287         }
00288       --__remaining;
00289       ++__first;
00290     }
00291       return __out;
00292     }
00293 
00299   template<typename _ForwardIterator, typename _OutputIterator,
00300        typename _Distance, typename _RandomNumberGenerator>
00301     _OutputIterator
00302     random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
00303                    _OutputIterator __out, const _Distance __n,
00304            _RandomNumberGenerator& __rand)
00305     {
00306       // concept requirements
00307       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00308       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00309         typename iterator_traits<_ForwardIterator>::value_type>)
00310       __glibcxx_function_requires(_UnaryFunctionConcept<
00311         _RandomNumberGenerator, _Distance, _Distance>)
00312       __glibcxx_requires_valid_range(__first, __last);
00313 
00314       _Distance __remaining = std::distance(__first, __last);
00315       _Distance __m = min(__n, __remaining);
00316 
00317       while (__m > 0)
00318     {
00319       if (__rand(__remaining) < __m)
00320         {
00321           *__out = *__first;
00322           ++__out;
00323           --__m;
00324         }
00325       --__remaining;
00326       ++__first;
00327     }
00328       return __out;
00329     }
00330 
00331   template<typename _InputIterator, typename _RandomAccessIterator,
00332        typename _Distance>
00333     _RandomAccessIterator
00334     __random_sample(_InputIterator __first, _InputIterator __last,
00335             _RandomAccessIterator __out,
00336             const _Distance __n)
00337     {
00338       _Distance __m = 0;
00339       _Distance __t = __n;
00340       for ( ; __first != __last && __m < __n; ++__m, ++__first)
00341     __out[__m] = *__first;
00342 
00343       while (__first != __last)
00344     {
00345       ++__t;
00346       _Distance __M = std::rand() % (__t);
00347       if (__M < __n)
00348         __out[__M] = *__first;
00349       ++__first;
00350     }
00351       return __out + __m;
00352     }
00353 
00354   template<typename _InputIterator, typename _RandomAccessIterator,
00355        typename _RandomNumberGenerator, typename _Distance>
00356     _RandomAccessIterator
00357     __random_sample(_InputIterator __first, _InputIterator __last,
00358             _RandomAccessIterator __out,
00359             _RandomNumberGenerator& __rand,
00360             const _Distance __n)
00361     {
00362       // concept requirements
00363       __glibcxx_function_requires(_UnaryFunctionConcept<
00364         _RandomNumberGenerator, _Distance, _Distance>)
00365 
00366       _Distance __m = 0;
00367       _Distance __t = __n;
00368       for ( ; __first != __last && __m < __n; ++__m, ++__first)
00369     __out[__m] = *__first;
00370 
00371       while (__first != __last)
00372     {
00373       ++__t;
00374       _Distance __M = __rand(__t);
00375       if (__M < __n)
00376         __out[__M] = *__first;
00377       ++__first;
00378     }
00379       return __out + __m;
00380     }
00381 
00387   template<typename _InputIterator, typename _RandomAccessIterator>
00388     inline _RandomAccessIterator
00389     random_sample(_InputIterator __first, _InputIterator __last,
00390           _RandomAccessIterator __out_first,
00391           _RandomAccessIterator __out_last)
00392     {
00393       // concept requirements
00394       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00395       __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
00396         _RandomAccessIterator>)
00397       __glibcxx_requires_valid_range(__first, __last);
00398       __glibcxx_requires_valid_range(__out_first, __out_last);
00399 
00400       return __random_sample(__first, __last,
00401                  __out_first, __out_last - __out_first);
00402     }
00403 
00409   template<typename _InputIterator, typename _RandomAccessIterator,
00410        typename _RandomNumberGenerator>
00411     inline _RandomAccessIterator
00412     random_sample(_InputIterator __first, _InputIterator __last,
00413           _RandomAccessIterator __out_first,
00414           _RandomAccessIterator __out_last,
00415           _RandomNumberGenerator& __rand)
00416     {
00417       // concept requirements
00418       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00419       __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
00420         _RandomAccessIterator>)
00421       __glibcxx_requires_valid_range(__first, __last);
00422       __glibcxx_requires_valid_range(__out_first, __out_last);
00423 
00424       return __random_sample(__first, __last,
00425                  __out_first, __rand,
00426                  __out_last - __out_first);
00427     }
00428 
00434   template<typename _RandomAccessIterator>
00435     inline bool
00436     is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
00437     {
00438       // concept requirements
00439       __glibcxx_function_requires(_RandomAccessIteratorConcept<
00440                   _RandomAccessIterator>)
00441       __glibcxx_function_requires(_LessThanComparableConcept<
00442         typename iterator_traits<_RandomAccessIterator>::value_type>)
00443       __glibcxx_requires_valid_range(__first, __last);
00444 
00445       return std::__is_heap(__first, __last - __first);
00446     }
00447 
00453   template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
00454     inline bool
00455     is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
00456         _StrictWeakOrdering __comp)
00457     {
00458       // concept requirements
00459       __glibcxx_function_requires(_RandomAccessIteratorConcept<
00460                   _RandomAccessIterator>)
00461       __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
00462         typename iterator_traits<_RandomAccessIterator>::value_type,
00463         typename iterator_traits<_RandomAccessIterator>::value_type>)
00464       __glibcxx_requires_valid_range(__first, __last);
00465 
00466       return std::__is_heap(__first, __comp, __last - __first);
00467     }
00468 
00469   // is_sorted, a predicated testing whether a range is sorted in
00470   // nondescending order.  This is an extension, not part of the C++
00471   // standard.
00472 
00478   template<typename _ForwardIterator>
00479     bool
00480     is_sorted(_ForwardIterator __first, _ForwardIterator __last)
00481     {
00482       // concept requirements
00483       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00484       __glibcxx_function_requires(_LessThanComparableConcept<
00485         typename iterator_traits<_ForwardIterator>::value_type>)
00486       __glibcxx_requires_valid_range(__first, __last);
00487 
00488       if (__first == __last)
00489     return true;
00490 
00491       _ForwardIterator __next = __first;
00492       for (++__next; __next != __last; __first = __next, ++__next)
00493     if (*__next < *__first)
00494       return false;
00495       return true;
00496     }
00497 
00503   template<typename _ForwardIterator, typename _StrictWeakOrdering>
00504     bool
00505     is_sorted(_ForwardIterator __first, _ForwardIterator __last,
00506           _StrictWeakOrdering __comp)
00507     {
00508       // concept requirements
00509       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00510       __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
00511         typename iterator_traits<_ForwardIterator>::value_type,
00512         typename iterator_traits<_ForwardIterator>::value_type>)
00513       __glibcxx_requires_valid_range(__first, __last);
00514 
00515       if (__first == __last)
00516     return true;
00517 
00518       _ForwardIterator __next = __first;
00519       for (++__next; __next != __last; __first = __next, ++__next)
00520     if (__comp(*__next, *__first))
00521       return false;
00522       return true;
00523     }
00524 } // namespace __gnu_cxx
00525 
00526 #endif /* _EXT_ALGORITHM */

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