algorithm

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00001 // Algorithm extensions -*- C++ -*-
00002 
00003 // Copyright (C) 2001, 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 
00062 #ifndef _EXT_ALGORITHM
00063 #define _EXT_ALGORITHM 1
00064 
00065 #pragma GCC system_header
00066 
00067 #include <algorithm>
00068 
00069 namespace __gnu_cxx
00070 {
00071   using std::ptrdiff_t;
00072   using std::min;
00073   using std::pair;
00074   using std::input_iterator_tag;
00075   using std::random_access_iterator_tag;
00076   using std::iterator_traits;
00077 
00078   //--------------------------------------------------
00079   // copy_n (not part of the C++ standard)
00080 
00081   template<typename _InputIterator, typename _Size, typename _OutputIterator>
00082     pair<_InputIterator, _OutputIterator>
00083     __copy_n(_InputIterator __first, _Size __count,
00084          _OutputIterator __result,
00085          input_iterator_tag)
00086     {
00087       for ( ; __count > 0; --__count) {
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,
00103                     std::copy(__first, __last, __result));
00104     }
00105 
00120   template<typename _InputIterator, typename _Size, typename _OutputIterator>
00121     inline pair<_InputIterator, _OutputIterator>
00122     copy_n(_InputIterator __first, _Size __count, _OutputIterator __result)
00123     {
00124       // concept requirements
00125       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00126       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00127         typename iterator_traits<_InputIterator>::value_type>)
00128 
00129       return __copy_n(__first, __count, __result,
00130               std::__iterator_category(__first));
00131     }
00132 
00133   template<typename _InputIterator1, typename _InputIterator2>
00134     int
00135     __lexicographical_compare_3way(_InputIterator1 __first1, _InputIterator1 __last1,
00136                    _InputIterator2 __first2, _InputIterator2 __last2)
00137     {
00138       while (__first1 != __last1 && __first2 != __last2) {
00139     if (*__first1 < *__first2)
00140       return -1;
00141     if (*__first2 < *__first1)
00142       return 1;
00143     ++__first1;
00144     ++__first2;
00145       }
00146       if (__first2 == __last2) {
00147     return !(__first1 == __last1);
00148       }
00149       else {
00150     return -1;
00151       }
00152     }
00153 
00154   inline int
00155   __lexicographical_compare_3way(const unsigned char* __first1,
00156                  const unsigned char* __last1,
00157                  const unsigned char* __first2,
00158                  const unsigned char* __last2)
00159   {
00160     const ptrdiff_t __len1 = __last1 - __first1;
00161     const ptrdiff_t __len2 = __last2 - __first2;
00162     const int __result = std::memcmp(__first1, __first2, min(__len1, __len2));
00163     return __result != 0 ? __result
00164              : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
00165   }
00166 
00167   inline int
00168   __lexicographical_compare_3way(const char* __first1, const char* __last1,
00169                  const char* __first2, const char* __last2)
00170   {
00171 #if CHAR_MAX == SCHAR_MAX
00172     return __lexicographical_compare_3way(
00173                   (const signed char*) __first1,
00174                   (const signed char*) __last1,
00175                   (const signed char*) __first2,
00176                   (const signed char*) __last2);
00177 #else
00178     return __lexicographical_compare_3way((const unsigned char*) __first1,
00179                       (const unsigned char*) __last1,
00180                       (const unsigned char*) __first2,
00181                       (const unsigned char*) __last2);
00182 #endif
00183   }
00184 
00199   template<typename _InputIterator1, typename _InputIterator2>
00200     int
00201     lexicographical_compare_3way(_InputIterator1 __first1, _InputIterator1 __last1,
00202                  _InputIterator2 __first2, _InputIterator2 __last2)
00203     {
00204       // concept requirements
00205       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
00206       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
00207       __glibcxx_function_requires(_LessThanComparableConcept<
00208         typename iterator_traits<_InputIterator1>::value_type>)
00209       __glibcxx_function_requires(_LessThanComparableConcept<
00210         typename iterator_traits<_InputIterator2>::value_type>)
00211       __glibcxx_requires_valid_range(__first1, __last1);
00212       __glibcxx_requires_valid_range(__first2, __last2);
00213 
00214       return __lexicographical_compare_3way(__first1, __last1, __first2, __last2);
00215     }
00216 
00217   // count and count_if: this version, whose return type is void, was present
00218   // in the HP STL, and is retained as an extension for backward compatibility.
00219 
00220   template<typename _InputIterator, typename _Tp, typename _Size>
00221     void
00222     count(_InputIterator __first, _InputIterator __last,
00223       const _Tp& __value,
00224       _Size& __n)
00225     {
00226       // concept requirements
00227       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00228       __glibcxx_function_requires(_EqualityComparableConcept<
00229         typename iterator_traits<_InputIterator>::value_type >)
00230       __glibcxx_function_requires(_EqualityComparableConcept<_Tp>)
00231       __glibcxx_requires_valid_range(__first, __last);
00232 
00233       for ( ; __first != __last; ++__first)
00234     if (*__first == __value)
00235       ++__n;
00236     }
00237 
00238   template<typename _InputIterator, typename _Predicate, typename _Size>
00239     void
00240     count_if(_InputIterator __first, _InputIterator __last,
00241          _Predicate __pred,
00242          _Size& __n)
00243     {
00244       // concept requirements
00245       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00246       __glibcxx_function_requires(_UnaryPredicateConcept<_Predicate,
00247         typename iterator_traits<_InputIterator>::value_type>)
00248       __glibcxx_requires_valid_range(__first, __last);
00249 
00250       for ( ; __first != __last; ++__first)
00251     if (__pred(*__first))
00252       ++__n;
00253     }
00254 
00255   // random_sample and random_sample_n (extensions, not part of the standard).
00256 
00262   template<typename _ForwardIterator, typename _OutputIterator, typename _Distance>
00263     _OutputIterator
00264     random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
00265                     _OutputIterator __out, const _Distance __n)
00266     {
00267       // concept requirements
00268       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00269       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00270         typename iterator_traits<_ForwardIterator>::value_type>)
00271       __glibcxx_requires_valid_range(__first, __last);
00272 
00273       _Distance __remaining = std::distance(__first, __last);
00274       _Distance __m = min(__n, __remaining);
00275 
00276       while (__m > 0) {
00277     if ((std::rand() % __remaining) < __m) {
00278           *__out = *__first;
00279           ++__out;
00280           --__m;
00281     }
00282 
00283     --__remaining;
00284     ++__first;
00285       }
00286       return __out;
00287     }
00288 
00294   template<typename _ForwardIterator, typename _OutputIterator, typename _Distance,
00295        typename _RandomNumberGenerator>
00296     _OutputIterator
00297     random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
00298                    _OutputIterator __out, const _Distance __n,
00299            _RandomNumberGenerator& __rand)
00300     {
00301       // concept requirements
00302       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00303       __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
00304         typename iterator_traits<_ForwardIterator>::value_type>)
00305       __glibcxx_function_requires(_UnaryFunctionConcept<
00306         _RandomNumberGenerator, _Distance, _Distance>)
00307       __glibcxx_requires_valid_range(__first, __last);
00308 
00309       _Distance __remaining = std::distance(__first, __last);
00310       _Distance __m = min(__n, __remaining);
00311 
00312       while (__m > 0) {
00313     if (__rand(__remaining) < __m) {
00314           *__out = *__first;
00315           ++__out;
00316           --__m;
00317     }
00318 
00319     --__remaining;
00320     ++__first;
00321       }
00322       return __out;
00323     }
00324 
00325   template<typename _InputIterator, typename _RandomAccessIterator, typename _Distance>
00326     _RandomAccessIterator
00327     __random_sample(_InputIterator __first, _InputIterator __last,
00328             _RandomAccessIterator __out,
00329             const _Distance __n)
00330     {
00331       _Distance __m = 0;
00332       _Distance __t = __n;
00333       for ( ; __first != __last && __m < __n; ++__m, ++__first)
00334     __out[__m] = *__first;
00335 
00336       while (__first != __last) {
00337     ++__t;
00338     _Distance __M = std::rand() % (__t);
00339     if (__M < __n)
00340       __out[__M] = *__first;
00341     ++__first;
00342       }
00343 
00344       return __out + __m;
00345     }
00346 
00347   template<typename _InputIterator, typename _RandomAccessIterator,
00348        typename _RandomNumberGenerator, typename _Distance>
00349     _RandomAccessIterator
00350     __random_sample(_InputIterator __first, _InputIterator __last,
00351             _RandomAccessIterator __out,
00352             _RandomNumberGenerator& __rand,
00353             const _Distance __n)
00354     {
00355       // concept requirements
00356       __glibcxx_function_requires(_UnaryFunctionConcept<
00357         _RandomNumberGenerator, _Distance, _Distance>)
00358 
00359       _Distance __m = 0;
00360       _Distance __t = __n;
00361       for ( ; __first != __last && __m < __n; ++__m, ++__first)
00362     __out[__m] = *__first;
00363 
00364       while (__first != __last) {
00365     ++__t;
00366     _Distance __M = __rand(__t);
00367     if (__M < __n)
00368       __out[__M] = *__first;
00369     ++__first;
00370       }
00371 
00372       return __out + __m;
00373     }
00374 
00380   template<typename _InputIterator, typename _RandomAccessIterator>
00381     inline _RandomAccessIterator
00382     random_sample(_InputIterator __first, _InputIterator __last,
00383           _RandomAccessIterator __out_first, _RandomAccessIterator __out_last)
00384     {
00385       // concept requirements
00386       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00387       __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
00388         _RandomAccessIterator>)
00389       __glibcxx_requires_valid_range(__first, __last);
00390       __glibcxx_requires_valid_range(__out_first, __out_last);
00391 
00392       return __random_sample(__first, __last,
00393                  __out_first, __out_last - __out_first);
00394     }
00395 
00401   template<typename _InputIterator, typename _RandomAccessIterator,
00402        typename _RandomNumberGenerator>
00403     inline _RandomAccessIterator
00404     random_sample(_InputIterator __first, _InputIterator __last,
00405           _RandomAccessIterator __out_first, _RandomAccessIterator __out_last,
00406           _RandomNumberGenerator& __rand)
00407     {
00408       // concept requirements
00409       __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
00410       __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
00411         _RandomAccessIterator>)
00412       __glibcxx_requires_valid_range(__first, __last);
00413       __glibcxx_requires_valid_range(__out_first, __out_last);
00414 
00415       return __random_sample(__first, __last,
00416                  __out_first, __rand,
00417                  __out_last - __out_first);
00418     }
00419 
00425   template<typename _RandomAccessIterator>
00426     inline bool
00427     is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
00428     {
00429       // concept requirements
00430       __glibcxx_function_requires(_RandomAccessIteratorConcept<_RandomAccessIterator>)
00431       __glibcxx_function_requires(_LessThanComparableConcept<
00432         typename iterator_traits<_RandomAccessIterator>::value_type>)
00433       __glibcxx_requires_valid_range(__first, __last);
00434 
00435       return std::__is_heap(__first, __last - __first);
00436     }
00437 
00443   template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
00444     inline bool
00445     is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
00446         _StrictWeakOrdering __comp)
00447     {
00448       // concept requirements
00449       __glibcxx_function_requires(_RandomAccessIteratorConcept<_RandomAccessIterator>)
00450       __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
00451         typename iterator_traits<_RandomAccessIterator>::value_type,
00452         typename iterator_traits<_RandomAccessIterator>::value_type>)
00453       __glibcxx_requires_valid_range(__first, __last);
00454 
00455       return std::__is_heap(__first, __comp, __last - __first);
00456     }
00457 
00458   // is_sorted, a predicated testing whether a range is sorted in
00459   // nondescending order.  This is an extension, not part of the C++
00460   // standard.
00461 
00467   template<typename _ForwardIterator>
00468     bool
00469     is_sorted(_ForwardIterator __first, _ForwardIterator __last)
00470     {
00471       // concept requirements
00472       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00473       __glibcxx_function_requires(_LessThanComparableConcept<
00474         typename iterator_traits<_ForwardIterator>::value_type>)
00475       __glibcxx_requires_valid_range(__first, __last);
00476 
00477       if (__first == __last)
00478     return true;
00479 
00480       _ForwardIterator __next = __first;
00481       for (++__next; __next != __last; __first = __next, ++__next) {
00482     if (*__next < *__first)
00483       return false;
00484       }
00485 
00486       return true;
00487     }
00488 
00494   template<typename _ForwardIterator, typename _StrictWeakOrdering>
00495     bool
00496     is_sorted(_ForwardIterator __first, _ForwardIterator __last, _StrictWeakOrdering __comp)
00497     {
00498       // concept requirements
00499       __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
00500       __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
00501         typename iterator_traits<_ForwardIterator>::value_type,
00502         typename iterator_traits<_ForwardIterator>::value_type>)
00503       __glibcxx_requires_valid_range(__first, __last);
00504 
00505       if (__first == __last)
00506     return true;
00507 
00508       _ForwardIterator __next = __first;
00509       for (++__next; __next != __last; __first = __next, ++__next) {
00510     if (__comp(*__next, *__first))
00511       return false;
00512       }
00513 
00514       return true;
00515     }
00516 } // namespace __gnu_cxx
00517 
00518 #endif /* _EXT_ALGORITHM */

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