//----------------------------------------------------------------------------
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/// @file spinsort.hpp
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/// @brief Spin Sort algorithm
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///
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/// @author Copyright (c) 2016 Francisco José Tapia (fjtapia@gmail.com )\n
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/// Distributed under the Boost Software License, Version 1.0.\n
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/// ( See accompanying file LICENSE_1_0.txt or copy at
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/// http://www.boost.org/LICENSE_1_0.txt )
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/// @version 0.1
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///
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/// @remarks
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//-----------------------------------------------------------------------------
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#ifndef __BOOST_SORT_PARALLEL_ALGORITHM_SPIN_SORT_HPP
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#define __BOOST_SORT_PARALLEL_ALGORITHM_SPIN_SORT_HPP
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//#include <boost/sort/spinsort/util/indirect.hpp>
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#include <boost/sort/insert_sort/insert_sort.hpp>
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#include <boost/sort/common/util/traits.hpp>
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#include <boost/sort/common/util/algorithm.hpp>
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#include <boost/sort/common/range.hpp>
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#include <boost/sort/common/indirect.hpp>
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#include <cstdlib>
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#include <functional>
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#include <iterator>
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#include <memory>
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#include <type_traits>
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#include <vector>
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#include <cstddef>
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namespace boost
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{
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namespace sort
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{
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namespace spin_detail
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{
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//----------------------------------------------------------------------------
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// USING SENTENCES
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//----------------------------------------------------------------------------
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namespace bsc = boost::sort::common;
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using bsc::range;
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using bsc::util::nbits64;
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using bsc::util::compare_iter;
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using bsc::util::value_iter;
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using boost::sort::insert_sort;
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//
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//############################################################################
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// ##
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// D E F I N I T I O N S O F F U N C T I O N S ##
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// ##
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//############################################################################
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//
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template <class Iter1_t, class Iter2_t, typename Compare>
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static void insert_partial_sort (Iter1_t first, Iter1_t mid,
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Iter1_t last, Compare comp,
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const range<Iter2_t> &rng_aux);
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template<class Iter1_t, class Iter2_t, class Compare>
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static bool check_stable_sort (const range<Iter1_t> &rng_data,
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const range<Iter2_t> &rng_aux, Compare comp);
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template<class Iter1_t, class Iter2_t, class Compare>
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static void range_sort (const range<Iter1_t> &range1,
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const range<Iter2_t> &range2, Compare comp,
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uint32_t level);
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template<class Iter1_t, class Iter2_t, class Compare>
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static void sort_range_sort (const range<Iter1_t> &rng_data,
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const range<Iter2_t> &rng_aux, Compare comp);
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//
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//-----------------------------------------------------------------------------
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// function : insert_partial_sort
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/// @brief : Insertion sort of elements sorted
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/// @param first: iterator to the first element of the range
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/// @param mid : last pointer of the sorted data, and first pointer to the
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/// elements to insert
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/// @param last : iterator to the next element of the last in the range
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/// @param comp :
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/// @comments : the two ranges are sorted
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//-----------------------------------------------------------------------------
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template<class Iter1_t, class Iter2_t, typename Compare>
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static void insert_partial_sort (Iter1_t first, Iter1_t mid, Iter1_t last,
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Compare comp, const range<Iter2_t> &rng_aux)
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{
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//------------------------------------------------------------------------
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// metaprogram
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//------------------------------------------------------------------------
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typedef value_iter<Iter1_t> value_t;
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typedef value_iter<Iter2_t> value2_t;
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static_assert (std::is_same<value_t, value2_t>::value,
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"Incompatible iterators\n");
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//--------------------------------------------------------------------
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// program
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//--------------------------------------------------------------------
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assert(size_t(last - mid) <= rng_aux.size());
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if (mid == last) return;
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//insertionsort ( mid, last, comp);
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if (first == mid) return;
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//------------------------------------------------------------------------
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// creation of the vector of elements to insert and their position in the
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// sorted part
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// the data are inserted in rng_aux
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//-----------------------------------------------------------------------
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std::vector<Iter1_t> viter;
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Iter2_t beta = rng_aux.first, data = rng_aux.first;
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for (Iter1_t alpha = mid; alpha != last; ++alpha)
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*(beta++) = std::move(*alpha);
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size_t ndata = last - mid;
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Iter1_t linf = first, lsup = mid;
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for (uint32_t i = 0; i < ndata; ++i)
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{
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Iter1_t it1 = std::upper_bound(linf, lsup, *(data + i), comp);
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viter.push_back(it1);
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linf = it1;
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};
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// moving the elements
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viter.push_back(mid);
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for (uint32_t i = viter.size() - 1; i != 0; --i)
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{
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Iter1_t src = viter[i], limit = viter[i - 1];
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Iter1_t dest = src + (i);
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while (src != limit) *(--dest) = std::move(*(--src));
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*(viter[i - 1] + (i - 1)) = std::move(*(data + (i - 1)));
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};
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}
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;
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//-----------------------------------------------------------------------------
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// function : check_stable_sort
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/// @brief check if the elements between first and last are osted or reverse
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/// sorted. If the number of elements not sorted is small, insert in
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/// the sorted part
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/// @param range_input : range with the elements to sort
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/// @param range_buffer : range with the elements sorted
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/// @param comp : object for to compare two elements
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/// @param level : when is 1, sort with the insertionsort algorithm
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/// if not make a recursive call splitting the ranges
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//
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/// @comments : if the number of levels is odd, the data are in the first
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/// parameter of range_sort, and the results appear in the second parameter
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/// If the number of levels is even, the data are in the second
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/// parameter of range_sort, and the results are in the same parameter
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//-----------------------------------------------------------------------------
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template<class Iter1_t, class Iter2_t, class Compare>
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static bool check_stable_sort(const range<Iter1_t> &rng_data,
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const range<Iter2_t> &rng_aux, Compare comp)
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{
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//------------------------------------------------------------------------
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// metaprogramming
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//------------------------------------------------------------------------
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typedef value_iter<Iter1_t> value_t;
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typedef value_iter<Iter2_t> value2_t;
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static_assert (std::is_same<value_t, value2_t>::value,
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"Incompatible iterators\n");
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//------------------------------------------------------------------------
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// program
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//------------------------------------------------------------------------
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// the maximun number of elements not ordered, for to be inserted in the
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// sorted part
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//const ptrdiff_t min_insert_partial_sort = 32 ;
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const size_t ndata = rng_data.size();
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if (ndata < 32)
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{
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insert_sort(rng_data.first, rng_data.last, comp);
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return true;
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};
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const size_t min_insert_partial_sort =
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((ndata >> 3) < 33) ? 32 : (ndata >> 3);
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if (ndata < 2) return true;
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// check if sorted
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bool sw = true;
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Iter1_t it2 = rng_data.first + 1;
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for (Iter1_t it1 = rng_data.first;
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it2 != rng_data.last and (sw = not comp(*it2, *it1)); it1 =
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it2++)
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;
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if (sw) return true;
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// insert the elements between it1 and last
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if (size_t(rng_data.last - it2) < min_insert_partial_sort)
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{
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sort_range_sort(range<Iter1_t>(it2, rng_data.last), rng_aux, comp);
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insert_partial_sort(rng_data.first, it2, rng_data.last, comp, rng_aux);
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return true;
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};
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// check if reverse sorted
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if ((it2 != (rng_data.first + 1))) return false;
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sw = true;
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for (Iter1_t it1 = rng_data.first;
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it2 != rng_data.last and (sw = comp(*it2, *it1)); it1 =
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it2++)
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;
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if (size_t(rng_data.last - it2) >= min_insert_partial_sort) return false;
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// reverse the elements between first and it1
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size_t nreverse = it2 - rng_data.first;
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Iter1_t alpha(rng_data.first), beta(it2 - 1), mid(
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rng_data.first + (nreverse >> 1));
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while (alpha != mid)
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std::swap(*(alpha++), *(beta--));
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// insert the elements between it1 and last
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if (it2 != rng_data.last)
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{
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sort_range_sort(range<Iter1_t>(it2, rng_data.last), rng_aux, comp);
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insert_partial_sort(rng_data.first, it2, rng_data.last, comp, rng_aux);
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};
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return true;
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}
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;
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//-----------------------------------------------------------------------------
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// function : range_sort
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/// @brief this function divide r_input in two parts, sort it,and merge moving
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/// the elements to range_buf
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/// @param range_input : range with the elements to sort
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/// @param range_buffer : range with the elements sorted
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/// @param comp : object for to compare two elements
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/// @param level : when is 1, sort with the insertionsort algorithm
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/// if not make a recursive call splitting the ranges
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//
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/// @comments : if the number of levels is odd, the data are in the first
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/// parameter of range_sort, and the results appear in the second parameter
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/// If the number of levels is even, the data are in the second
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/// parameter of range_sort, and the results are in the same parameter
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/// The two ranges must have the same size
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//-----------------------------------------------------------------------------
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template<class Iter1_t, class Iter2_t, class Compare>
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static void range_sort(const range<Iter1_t> &range1,
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const range<Iter2_t> &range2, Compare comp,
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uint32_t level)
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{
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//-----------------------------------------------------------------------
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// metaprogram
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//-----------------------------------------------------------------------
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typedef value_iter<Iter1_t> value_t;
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typedef value_iter<Iter2_t> value2_t;
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static_assert (std::is_same<value_t, value2_t>::value,
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"Incompatible iterators\n");
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//-----------------------------------------------------------------------
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// program
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//-----------------------------------------------------------------------
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typedef range<Iter1_t> range_it1;
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typedef range<Iter2_t> range_it2;
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assert(range1.size() == range2.size() and level != 0);
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//------------------- check if sort --------------------------------------
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if (range1.size() > 1024)
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{
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if ((level & 1) == 0)
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{
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if (check_stable_sort(range2, range1, comp)) return;
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}
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else
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{
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if (check_stable_sort(range1, range2, comp))
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{
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move_forward(range2, range1);
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return;
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};
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};
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};
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//------------------- normal process -----------------------------------
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size_t nelem1 = (range1.size() + 1) >> 1;
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range_it1 range_input1(range1.first, range1.first + nelem1),
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range_input2(range1.first + nelem1, range1.last);
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if (level < 2)
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{
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insert_sort(range_input1.first, range_input1.last, comp);
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insert_sort(range_input2.first, range_input2.last, comp);
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}
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else
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{
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range_sort (range_it2(range2.first, range2.first + nelem1),
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range_input1, comp, level - 1);
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range_sort (range_it2(range2.first + nelem1, range2.last),
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range_input2, comp, level - 1);
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};
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merge(range2, range_input1, range_input2, comp);
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}
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;
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//-----------------------------------------------------------------------------
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// function : sort_range_sort
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/// @brief this sort elements using the range_sort function and receiving a
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/// buffer of initialized memory
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/// @param rng_data : range with the elements to sort
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/// @param rng_aux : range of at least the same memory than rng_data used as
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/// auxiliary memory in the sorting
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/// @param comp : object for to compare two elements
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//-----------------------------------------------------------------------------
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template<class Iter1_t, class Iter2_t, class Compare>
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static void sort_range_sort(const range<Iter1_t> &rng_data,
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const range<Iter2_t> &rng_aux, Compare comp)
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{
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//-----------------------------------------------------------------------
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// metaprogram
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//-----------------------------------------------------------------------
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typedef value_iter<Iter1_t> value_t;
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typedef value_iter<Iter2_t> value2_t;
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static_assert (std::is_same<value_t, value2_t>::value,
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"Incompatible iterators\n");
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//------------------------------------------------------------------------
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// program
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//------------------------------------------------------------------------
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// minimal number of element before to jump to insertionsort
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static const uint32_t sort_min = 32;
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if (rng_data.size() <= sort_min)
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{
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insert_sort(rng_data.first, rng_data.last, comp);
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return;
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};
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#ifdef __BS_DEBUG
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assert (rng_aux.size () >= rng_data.size ());
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#endif
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range<Iter2_t> rng_buffer(rng_aux.first, rng_aux.first + rng_data.size());
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uint32_t nlevel =
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nbits64(((rng_data.size() + sort_min - 1) / sort_min) - 1);
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//assert (nlevel != 0);
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if ((nlevel & 1) == 0)
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{
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range_sort(rng_buffer, rng_data, comp, nlevel);
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}
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else
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{
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range_sort(rng_data, rng_buffer, comp, nlevel);
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move_forward(rng_data, rng_buffer);
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};
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}
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;
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//
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//############################################################################
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// ##
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// S T R U C T ##
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// ##
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// S P I N _ S O R T ##
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// ##
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//############################################################################
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//---------------------------------------------------------------------------
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/// @struct spin_sort
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/// @brief This class implement s stable sort algorithm with 1 thread, with
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/// an auxiliary memory of N/2 elements
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//----------------------------------------------------------------------------
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template<class Iter_t, typename Compare = compare_iter<Iter_t>>
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class spinsort
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{
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//------------------------------------------------------------------------
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// DEFINITIONS AND CONSTANTS
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//------------------------------------------------------------------------
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typedef value_iter<Iter_t> value_t;
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typedef range<Iter_t> range_it;
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typedef range<value_t *> range_buf;
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// When the number of elements to sort is smaller than Sort_min, are sorted
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// by the insertion sort algorithm
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static const uint32_t Sort_min = 36;
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//------------------------------------------------------------------------
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// VARIABLES
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//------------------------------------------------------------------------
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// Pointer to the auxiliary memory
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value_t *ptr;
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// Number of elements in the auxiliary memory
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size_t nptr;
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// construct indicate if the auxiliary memory in initialized, and owner
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// indicate if the auxiliary memory had been created inside the object or
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// had
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// been received as a parameter
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bool construct = false, owner = false;
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//------------------------------------------------------------------------
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// PRIVATE FUNCTIONS
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//-------------------------------------------------------------------------
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spinsort (Iter_t first, Iter_t last, Compare comp, value_t *paux,
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size_t naux);
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public:
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//------------------------------------------------------------------------
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// PUBLIC FUNCTIONS
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//-------------------------------------------------------------------------
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spinsort(Iter_t first, Iter_t last, Compare comp = Compare())
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: spinsort(first, last, comp, nullptr, 0) { };
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spinsort(Iter_t first, Iter_t last, Compare comp, range_buf range_aux)
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: spinsort(first, last, comp, range_aux.first, range_aux.size()) { };
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//
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//-----------------------------------------------------------------------
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// function :~spinsort
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/// @brief destructor of the struct. Destroy the elements if construct is
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/// true,
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/// and return the memory if owner is true
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//-----------------------------------------------------------------------
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~spinsort(void)
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{
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if (construct)
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{
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destroy(range<value_t *>(ptr, ptr + nptr));
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construct = false;
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};
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if (owner and ptr != nullptr) std::return_temporary_buffer(ptr);
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};
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};
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//----------------------------------------------------------------------------
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// End of class spinsort
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//----------------------------------------------------------------------------
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//
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//-------------------------------------------------------------------------
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// function : spinsort
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/// @brief constructor of the struct
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//
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/// @param first : iterator to the first element of the range to sort
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/// @param last : iterator after the last element to the range to sort
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/// @param comp : object for to compare two elements pointed by Iter_t
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/// iterators
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/// @param paux : pointer to the auxiliary memory provided. If nullptr, the
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/// memory is created inside the class
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/// @param naux : number of elements pointed by paux
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//------------------------------------------------------------------------
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template <class Iter_t, typename Compare>
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spinsort <Iter_t, Compare>
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::spinsort (Iter_t first, Iter_t last, Compare comp, value_t *paux, size_t naux)
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: ptr(paux), nptr(naux), construct(false), owner(false)
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{
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range<Iter_t> range_input(first, last);
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assert(range_input.valid());
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size_t nelem = range_input.size();
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owner = construct = false;
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nptr = (nelem + 1) >> 1;
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size_t nelem_1 = nptr;
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size_t nelem_2 = nelem - nelem_1;
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if (nelem <= (Sort_min << 1))
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{
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insert_sort(range_input.first, range_input.last, comp);
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return;
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};
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//------------------- check if sort ---------------------------------
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bool sw = true;
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for (Iter_t it1 = first, it2 = first + 1; it2 != last
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and (sw = not comp(*it2, *it1)); it1 = it2++) ;
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if (sw) return;
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//------------------- check if reverse sort -------------------------
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sw = true;
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for (Iter_t it1 = first, it2 = first + 1;
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it2 != last and (sw = comp(*it2, *it1)); it1 = it2++);
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if (sw)
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{
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size_t nelem2 = nelem >> 1;
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Iter_t it1 = first, it2 = last - 1;
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for (size_t i = 0; i < nelem2; ++i)
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std::swap(*(it1++), *(it2--));
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return;
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};
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if (ptr == nullptr)
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{
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ptr = std::get_temporary_buffer<value_t>(nptr).first;
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if (ptr == nullptr) throw std::bad_alloc();
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owner = true;
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};
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range_buf range_aux(ptr, (ptr + nptr));
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//---------------------------------------------------------------------
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// Process
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//---------------------------------------------------------------------
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uint32_t nlevel = nbits64(((nelem + Sort_min - 1) / Sort_min) - 1) - 1;
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assert(nlevel != 0);
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if ((nlevel & 1) == 1)
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{
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//----------------------------------------------------------------
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// if the number of levels is odd, the data are in the first
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// parameter of range_sort, and the results appear in the second
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// parameter
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//----------------------------------------------------------------
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range_it range_1(first, first + nelem_2), range_2(first + nelem_2,
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last);
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range_aux = move_construct(range_aux, range_2);
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construct = true;
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range_sort(range_aux, range_2, comp, nlevel);
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range_buf rng_bx(range_aux.first, range_aux.first + nelem_2);
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range_sort(range_1, rng_bx, comp, nlevel);
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merge_half(range_input, rng_bx, range_2, comp);
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}
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else
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{
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//----------------------------------------------------------------
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// If the number of levels is even, the data are in the second
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// parameter of range_sort, and the results are in the same
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// parameter
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//----------------------------------------------------------------
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range_it range_1(first, first + nelem_1), range_2(first + nelem_1,
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last);
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range_aux = move_construct(range_aux, range_1);
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construct = true;
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range_sort(range_1, range_aux, comp, nlevel);
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range_1.last = range_1.first + range_2.size();
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range_sort(range_1, range_2, comp, nlevel);
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merge_half(range_input, range_aux, range_2, comp);
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};
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};
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//****************************************************************************
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};// End namepspace spin_detail
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//****************************************************************************
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//
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namespace bsc = boost::sort::common;
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//-----------------------------------------------------------------------------
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// function : spinsort
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/// @brief this function implement a single thread stable sort
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///
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/// @param first : iterator to the first element of the range to sort
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/// @param last : iterator after the last element to the range to sort
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/// @param comp : object for to compare two elements pointed by Iter_t
|
/// iterators
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//-----------------------------------------------------------------------------
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template <class Iter_t, class Compare = compare_iter<Iter_t>>
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inline void spinsort (Iter_t first, Iter_t last, Compare comp = Compare())
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{
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spin_detail::spinsort <Iter_t, Compare> (first, last, comp);
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};
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template <class Iter_t, class Compare = compare_iter<Iter_t>>
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inline void indirect_spinsort (Iter_t first, Iter_t last,
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Compare comp = Compare())
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{
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typedef typename std::vector<Iter_t>::iterator itx_iter;
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typedef common::less_ptr_no_null <Iter_t, Compare> itx_comp;
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common::indirect_sort (spinsort<itx_iter, itx_comp>, first, last, comp);
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};
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//****************************************************************************
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};// End namespace sort
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};// End namepspace boost
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//****************************************************************************
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//
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#endif
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