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+// Algorithm extensions -*- C++ -*-
+
+// Copyright (C) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008,
+// 2009, 2010, 2011
+// 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/algorithm
+ * This file is a GNU extension to the Standard C++ Library (possibly
+ * containing extensions from the HP/SGI STL subset).
+ */
+
+#ifndef _EXT_ALGORITHM
+#define _EXT_ALGORITHM 1
+
+#pragma GCC system_header
+
+#include <algorithm>
+
+namespace __gnu_cxx _GLIBCXX_VISIBILITY(default)
+{
+_GLIBCXX_BEGIN_NAMESPACE_VERSION
+
+ using std::ptrdiff_t;
+ using std::min;
+ using std::pair;
+ using std::input_iterator_tag;
+ using std::random_access_iterator_tag;
+ using std::iterator_traits;
+
+ //--------------------------------------------------
+ // copy_n (not part of the C++ standard)
+
+ template<typename _InputIterator, typename _Size, typename _OutputIterator>
+ pair<_InputIterator, _OutputIterator>
+ __copy_n(_InputIterator __first, _Size __count,
+ _OutputIterator __result,
+ input_iterator_tag)
+ {
+ for ( ; __count > 0; --__count)
+ {
+ *__result = *__first;
+ ++__first;
+ ++__result;
+ }
+ return pair<_InputIterator, _OutputIterator>(__first, __result);
+ }
+
+ template<typename _RAIterator, typename _Size, typename _OutputIterator>
+ inline pair<_RAIterator, _OutputIterator>
+ __copy_n(_RAIterator __first, _Size __count,
+ _OutputIterator __result,
+ random_access_iterator_tag)
+ {
+ _RAIterator __last = __first + __count;
+ return pair<_RAIterator, _OutputIterator>(__last, std::copy(__first,
+ __last,
+ __result));
+ }
+
+ /**
+ * @brief Copies the range [first,first+count) into [result,result+count).
+ * @param first An input iterator.
+ * @param count The number of elements to copy.
+ * @param result An output iterator.
+ * @return A std::pair composed of first+count and result+count.
+ *
+ * This is an SGI extension.
+ * This inline function will boil down to a call to @c memmove whenever
+ * possible. Failing that, if random access iterators are passed, then the
+ * loop count will be known (and therefore a candidate for compiler
+ * optimizations such as unrolling).
+ * @ingroup SGIextensions
+ */
+ template<typename _InputIterator, typename _Size, typename _OutputIterator>
+ inline pair<_InputIterator, _OutputIterator>
+ copy_n(_InputIterator __first, _Size __count, _OutputIterator __result)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
+ __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
+ typename iterator_traits<_InputIterator>::value_type>)
+
+ return __gnu_cxx::__copy_n(__first, __count, __result,
+ std::__iterator_category(__first));
+ }
+
+ template<typename _InputIterator1, typename _InputIterator2>
+ int
+ __lexicographical_compare_3way(_InputIterator1 __first1,
+ _InputIterator1 __last1,
+ _InputIterator2 __first2,
+ _InputIterator2 __last2)
+ {
+ while (__first1 != __last1 && __first2 != __last2)
+ {
+ if (*__first1 < *__first2)
+ return -1;
+ if (*__first2 < *__first1)
+ return 1;
+ ++__first1;
+ ++__first2;
+ }
+ if (__first2 == __last2)
+ return !(__first1 == __last1);
+ else
+ return -1;
+ }
+
+ inline int
+ __lexicographical_compare_3way(const unsigned char* __first1,
+ const unsigned char* __last1,
+ const unsigned char* __first2,
+ const unsigned char* __last2)
+ {
+ const ptrdiff_t __len1 = __last1 - __first1;
+ const ptrdiff_t __len2 = __last2 - __first2;
+ const int __result = __builtin_memcmp(__first1, __first2,
+ min(__len1, __len2));
+ return __result != 0 ? __result
+ : (__len1 == __len2 ? 0 : (__len1 < __len2 ? -1 : 1));
+ }
+
+ inline int
+ __lexicographical_compare_3way(const char* __first1, const char* __last1,
+ const char* __first2, const char* __last2)
+ {
+#if CHAR_MAX == SCHAR_MAX
+ return __lexicographical_compare_3way((const signed char*) __first1,
+ (const signed char*) __last1,
+ (const signed char*) __first2,
+ (const signed char*) __last2);
+#else
+ return __lexicographical_compare_3way((const unsigned char*) __first1,
+ (const unsigned char*) __last1,
+ (const unsigned char*) __first2,
+ (const unsigned char*) __last2);
+#endif
+ }
+
+ /**
+ * @brief @c memcmp on steroids.
+ * @param first1 An input iterator.
+ * @param last1 An input iterator.
+ * @param first2 An input iterator.
+ * @param last2 An input iterator.
+ * @return An int, as with @c memcmp.
+ *
+ * The return value will be less than zero if the first range is
+ * <em>lexigraphically less than</em> the second, greater than zero
+ * if the second range is <em>lexigraphically less than</em> the
+ * first, and zero otherwise.
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ */
+ template<typename _InputIterator1, typename _InputIterator2>
+ int
+ lexicographical_compare_3way(_InputIterator1 __first1,
+ _InputIterator1 __last1,
+ _InputIterator2 __first2,
+ _InputIterator2 __last2)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
+ __glibcxx_function_requires(_LessThanComparableConcept<
+ typename iterator_traits<_InputIterator1>::value_type>)
+ __glibcxx_function_requires(_LessThanComparableConcept<
+ typename iterator_traits<_InputIterator2>::value_type>)
+ __glibcxx_requires_valid_range(__first1, __last1);
+ __glibcxx_requires_valid_range(__first2, __last2);
+
+ return __lexicographical_compare_3way(__first1, __last1, __first2,
+ __last2);
+ }
+
+ // count and count_if: this version, whose return type is void, was present
+ // in the HP STL, and is retained as an extension for backward compatibility.
+ template<typename _InputIterator, typename _Tp, typename _Size>
+ void
+ count(_InputIterator __first, _InputIterator __last,
+ const _Tp& __value,
+ _Size& __n)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
+ __glibcxx_function_requires(_EqualityComparableConcept<
+ typename iterator_traits<_InputIterator>::value_type >)
+ __glibcxx_function_requires(_EqualityComparableConcept<_Tp>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ for ( ; __first != __last; ++__first)
+ if (*__first == __value)
+ ++__n;
+ }
+
+ template<typename _InputIterator, typename _Predicate, typename _Size>
+ void
+ count_if(_InputIterator __first, _InputIterator __last,
+ _Predicate __pred,
+ _Size& __n)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
+ __glibcxx_function_requires(_UnaryPredicateConcept<_Predicate,
+ typename iterator_traits<_InputIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ for ( ; __first != __last; ++__first)
+ if (__pred(*__first))
+ ++__n;
+ }
+
+ // random_sample and random_sample_n (extensions, not part of the standard).
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _ForwardIterator, typename _OutputIterator,
+ typename _Distance>
+ _OutputIterator
+ random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
+ _OutputIterator __out, const _Distance __n)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
+ __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
+ typename iterator_traits<_ForwardIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ _Distance __remaining = std::distance(__first, __last);
+ _Distance __m = min(__n, __remaining);
+
+ while (__m > 0)
+ {
+ if ((std::rand() % __remaining) < __m)
+ {
+ *__out = *__first;
+ ++__out;
+ --__m;
+ }
+ --__remaining;
+ ++__first;
+ }
+ return __out;
+ }
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _ForwardIterator, typename _OutputIterator,
+ typename _Distance, typename _RandomNumberGenerator>
+ _OutputIterator
+ random_sample_n(_ForwardIterator __first, _ForwardIterator __last,
+ _OutputIterator __out, const _Distance __n,
+ _RandomNumberGenerator& __rand)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
+ __glibcxx_function_requires(_OutputIteratorConcept<_OutputIterator,
+ typename iterator_traits<_ForwardIterator>::value_type>)
+ __glibcxx_function_requires(_UnaryFunctionConcept<
+ _RandomNumberGenerator, _Distance, _Distance>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ _Distance __remaining = std::distance(__first, __last);
+ _Distance __m = min(__n, __remaining);
+
+ while (__m > 0)
+ {
+ if (__rand(__remaining) < __m)
+ {
+ *__out = *__first;
+ ++__out;
+ --__m;
+ }
+ --__remaining;
+ ++__first;
+ }
+ return __out;
+ }
+
+ template<typename _InputIterator, typename _RandomAccessIterator,
+ typename _Distance>
+ _RandomAccessIterator
+ __random_sample(_InputIterator __first, _InputIterator __last,
+ _RandomAccessIterator __out,
+ const _Distance __n)
+ {
+ _Distance __m = 0;
+ _Distance __t = __n;
+ for ( ; __first != __last && __m < __n; ++__m, ++__first)
+ __out[__m] = *__first;
+
+ while (__first != __last)
+ {
+ ++__t;
+ _Distance __M = std::rand() % (__t);
+ if (__M < __n)
+ __out[__M] = *__first;
+ ++__first;
+ }
+ return __out + __m;
+ }
+
+ template<typename _InputIterator, typename _RandomAccessIterator,
+ typename _RandomNumberGenerator, typename _Distance>
+ _RandomAccessIterator
+ __random_sample(_InputIterator __first, _InputIterator __last,
+ _RandomAccessIterator __out,
+ _RandomNumberGenerator& __rand,
+ const _Distance __n)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_UnaryFunctionConcept<
+ _RandomNumberGenerator, _Distance, _Distance>)
+
+ _Distance __m = 0;
+ _Distance __t = __n;
+ for ( ; __first != __last && __m < __n; ++__m, ++__first)
+ __out[__m] = *__first;
+
+ while (__first != __last)
+ {
+ ++__t;
+ _Distance __M = __rand(__t);
+ if (__M < __n)
+ __out[__M] = *__first;
+ ++__first;
+ }
+ return __out + __m;
+ }
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _InputIterator, typename _RandomAccessIterator>
+ inline _RandomAccessIterator
+ random_sample(_InputIterator __first, _InputIterator __last,
+ _RandomAccessIterator __out_first,
+ _RandomAccessIterator __out_last)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
+ __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
+ _RandomAccessIterator>)
+ __glibcxx_requires_valid_range(__first, __last);
+ __glibcxx_requires_valid_range(__out_first, __out_last);
+
+ return __random_sample(__first, __last,
+ __out_first, __out_last - __out_first);
+ }
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _InputIterator, typename _RandomAccessIterator,
+ typename _RandomNumberGenerator>
+ inline _RandomAccessIterator
+ random_sample(_InputIterator __first, _InputIterator __last,
+ _RandomAccessIterator __out_first,
+ _RandomAccessIterator __out_last,
+ _RandomNumberGenerator& __rand)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_InputIteratorConcept<_InputIterator>)
+ __glibcxx_function_requires(_Mutable_RandomAccessIteratorConcept<
+ _RandomAccessIterator>)
+ __glibcxx_requires_valid_range(__first, __last);
+ __glibcxx_requires_valid_range(__out_first, __out_last);
+
+ return __random_sample(__first, __last,
+ __out_first, __rand,
+ __out_last - __out_first);
+ }
+
+#ifdef __GXX_EXPERIMENTAL_CXX0X__
+ using std::is_heap;
+#else
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _RandomAccessIterator>
+ inline bool
+ is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_RandomAccessIteratorConcept<
+ _RandomAccessIterator>)
+ __glibcxx_function_requires(_LessThanComparableConcept<
+ typename iterator_traits<_RandomAccessIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ return std::__is_heap(__first, __last - __first);
+ }
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _RandomAccessIterator, typename _StrictWeakOrdering>
+ inline bool
+ is_heap(_RandomAccessIterator __first, _RandomAccessIterator __last,
+ _StrictWeakOrdering __comp)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_RandomAccessIteratorConcept<
+ _RandomAccessIterator>)
+ __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
+ typename iterator_traits<_RandomAccessIterator>::value_type,
+ typename iterator_traits<_RandomAccessIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ return std::__is_heap(__first, __comp, __last - __first);
+ }
+#endif
+
+#ifdef __GXX_EXPERIMENTAL_CXX0X__
+ using std::is_sorted;
+#else
+ // is_sorted, a predicated testing whether a range is sorted in
+ // nondescending order. This is an extension, not part of the C++
+ // standard.
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _ForwardIterator>
+ bool
+ is_sorted(_ForwardIterator __first, _ForwardIterator __last)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
+ __glibcxx_function_requires(_LessThanComparableConcept<
+ typename iterator_traits<_ForwardIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ if (__first == __last)
+ return true;
+
+ _ForwardIterator __next = __first;
+ for (++__next; __next != __last; __first = __next, ++__next)
+ if (*__next < *__first)
+ return false;
+ return true;
+ }
+
+ /**
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ * @doctodo
+ */
+ template<typename _ForwardIterator, typename _StrictWeakOrdering>
+ bool
+ is_sorted(_ForwardIterator __first, _ForwardIterator __last,
+ _StrictWeakOrdering __comp)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
+ __glibcxx_function_requires(_BinaryPredicateConcept<_StrictWeakOrdering,
+ typename iterator_traits<_ForwardIterator>::value_type,
+ typename iterator_traits<_ForwardIterator>::value_type>)
+ __glibcxx_requires_valid_range(__first, __last);
+
+ if (__first == __last)
+ return true;
+
+ _ForwardIterator __next = __first;
+ for (++__next; __next != __last; __first = __next, ++__next)
+ if (__comp(*__next, *__first))
+ return false;
+ return true;
+ }
+#endif // __GXX_EXPERIMENTAL_CXX0X__
+
+ /**
+ * @brief Find the median of three values.
+ * @param a A value.
+ * @param b A value.
+ * @param c A value.
+ * @return One of @p a, @p b or @p c.
+ *
+ * If @c {l,m,n} is some convolution of @p {a,b,c} such that @c l<=m<=n
+ * then the value returned will be @c m.
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ */
+ template<typename _Tp>
+ const _Tp&
+ __median(const _Tp& __a, const _Tp& __b, const _Tp& __c)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_LessThanComparableConcept<_Tp>)
+ if (__a < __b)
+ if (__b < __c)
+ return __b;
+ else if (__a < __c)
+ return __c;
+ else
+ return __a;
+ else if (__a < __c)
+ return __a;
+ else if (__b < __c)
+ return __c;
+ else
+ return __b;
+ }
+
+ /**
+ * @brief Find the median of three values using a predicate for comparison.
+ * @param a A value.
+ * @param b A value.
+ * @param c A value.
+ * @param comp A binary predicate.
+ * @return One of @p a, @p b or @p c.
+ *
+ * If @c {l,m,n} is some convolution of @p {a,b,c} such that @p comp(l,m)
+ * and @p comp(m,n) are both true then the value returned will be @c m.
+ * This is an SGI extension.
+ * @ingroup SGIextensions
+ */
+ template<typename _Tp, typename _Compare>
+ const _Tp&
+ __median(const _Tp& __a, const _Tp& __b, const _Tp& __c, _Compare __comp)
+ {
+ // concept requirements
+ __glibcxx_function_requires(_BinaryFunctionConcept<_Compare, bool,
+ _Tp, _Tp>)
+ if (__comp(__a, __b))
+ if (__comp(__b, __c))
+ return __b;
+ else if (__comp(__a, __c))
+ return __c;
+ else
+ return __a;
+ else if (__comp(__a, __c))
+ return __a;
+ else if (__comp(__b, __c))
+ return __c;
+ else
+ return __b;
+ }
+
+_GLIBCXX_END_NAMESPACE_VERSION
+} // namespace
+
+#endif /* _EXT_ALGORITHM */