//////////////////////////////////////////////////////////////////////////////
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//
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// (C) Copyright Ion Gaztanaga 2015-2016.
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// Distributed under the Boost Software License, Version 1.0.
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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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//
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// See http://www.boost.org/libs/move for documentation.
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//
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//////////////////////////////////////////////////////////////////////////////
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//
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// Stable sorting that works in O(N*log(N)) worst time
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// and uses O(1) extra memory
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//
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//////////////////////////////////////////////////////////////////////////////
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//
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// The main idea of the adaptive_sort algorithm was developed by Andrey Astrelin
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// and explained in the article from the russian collaborative blog
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// Habrahabr (http://habrahabr.ru/post/205290/). The algorithm is based on
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// ideas from B-C. Huang and M. A. Langston explained in their article
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// "Fast Stable Merging and Sorting in Constant Extra Space (1989-1992)"
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// (http://comjnl.oxfordjournals.org/content/35/6/643.full.pdf).
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//
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// This implementation by Ion Gaztanaga uses previous ideas with additional changes:
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//
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// - Use of GCD-based rotation.
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// - Non power of two buffer-sizes.
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// - Tries to find sqrt(len)*2 unique keys, so that the merge sort
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// phase can form up to sqrt(len)*4 segments if enough keys are found.
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// - The merge-sort phase can take advantage of external memory to
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// save some additional combination steps.
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// - Combination phase: Blocks are selection sorted and merged in parallel.
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// - The combination phase is performed alternating merge to left and merge
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// to right phases minimizing swaps due to internal buffer repositioning.
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// - When merging blocks special optimizations are made to avoid moving some
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// elements twice.
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//
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// The adaptive_merge algorithm was developed by Ion Gaztanaga reusing some parts
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// from the sorting algorithm and implementing an additional block merge algorithm
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// without moving elements to left or right.
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//////////////////////////////////////////////////////////////////////////////
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#ifndef BOOST_MOVE_ADAPTIVE_SORT_MERGE_HPP
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#define BOOST_MOVE_ADAPTIVE_SORT_MERGE_HPP
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#include <boost/move/detail/config_begin.hpp>
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#include <boost/move/detail/reverse_iterator.hpp>
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#include <boost/move/algo/move.hpp>
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#include <boost/move/algo/detail/merge.hpp>
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#include <boost/move/adl_move_swap.hpp>
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#include <boost/move/algo/detail/insertion_sort.hpp>
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#include <boost/move/algo/detail/merge_sort.hpp>
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#include <boost/move/algo/detail/heap_sort.hpp>
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#include <boost/move/algo/detail/merge.hpp>
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#include <boost/move/algo/detail/is_sorted.hpp>
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#include <boost/core/ignore_unused.hpp>
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#include <boost/assert.hpp>
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#include <boost/cstdint.hpp>
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#ifndef BOOST_MOVE_ADAPTIVE_SORT_STATS_LEVEL
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#define BOOST_MOVE_ADAPTIVE_SORT_STATS_LEVEL 1
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#endif
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#ifdef BOOST_MOVE_ADAPTIVE_SORT_STATS
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#if BOOST_MOVE_ADAPTIVE_SORT_STATS_LEVEL == 2
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(STR, L) \
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print_stats(STR, L)\
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//
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(STR, L) \
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print_stats(STR, L)\
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//
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#else
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(STR, L) \
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print_stats(STR, L)\
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//
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(STR, L)
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#endif
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#else
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(STR, L)
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#define BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(STR, L)
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#endif
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#ifdef BOOST_MOVE_ADAPTIVE_SORT_INVARIANTS
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#define BOOST_MOVE_ADAPTIVE_SORT_INVARIANT BOOST_ASSERT
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#else
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#define BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(L)
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#endif
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namespace boost {
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namespace movelib {
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#if defined(BOOST_MOVE_ADAPTIVE_SORT_INVARIANTS)
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bool is_sorted(::order_perf_type *first, ::order_perf_type *last, ::order_type_less)
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{
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if (first != last) {
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const order_perf_type *next = first, *cur(first);
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while (++next != last) {
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if (!(cur->key < next->key || (cur->key == next->key && cur->val < next->val)))
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return false;
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cur = next;
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}
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}
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return true;
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}
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#endif //BOOST_MOVE_ADAPTIVE_SORT_INVARIANTS
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namespace detail_adaptive {
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static const std::size_t AdaptiveSortInsertionSortThreshold = 16;
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//static const std::size_t AdaptiveSortInsertionSortThreshold = 4;
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BOOST_STATIC_ASSERT((AdaptiveSortInsertionSortThreshold&(AdaptiveSortInsertionSortThreshold-1)) == 0);
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#if defined BOOST_HAS_INTPTR_T
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typedef ::boost::uintptr_t uintptr_t;
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#else
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typedef std::size_t uintptr_t;
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#endif
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template<class T>
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const T &min_value(const T &a, const T &b)
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{
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return a < b ? a : b;
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}
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template<class T>
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const T &max_value(const T &a, const T &b)
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{
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return a > b ? a : b;
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}
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template<class ForwardIt, class Pred, class V>
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typename iterator_traits<ForwardIt>::size_type
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count_if_with(ForwardIt first, ForwardIt last, Pred pred, const V &v)
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{
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typedef typename iterator_traits<ForwardIt>::size_type size_type;
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size_type count = 0;
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while(first != last) {
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count += static_cast<size_type>(0 != pred(*first, v));
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++first;
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}
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return count;
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}
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template<class RandIt, class Compare>
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RandIt skip_until_merge
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( RandIt first1, RandIt const last1
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, const typename iterator_traits<RandIt>::value_type &next_key, Compare comp)
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{
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while(first1 != last1 && !comp(next_key, *first1)){
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++first1;
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}
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return first1;
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}
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template<class RandItKeys, class RandIt>
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void swap_and_update_key
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( RandItKeys const key_next
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, RandItKeys const key_range2
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, RandItKeys &key_mid
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, RandIt const begin
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, RandIt const end
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, RandIt const with)
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{
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if(begin != with){
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::boost::adl_move_swap_ranges(begin, end, with);
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::boost::adl_move_swap(*key_next, *key_range2);
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if(key_next == key_mid){
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key_mid = key_range2;
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}
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else if(key_mid == key_range2){
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key_mid = key_next;
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}
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}
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}
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template<class RandItKeys>
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void update_key
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(RandItKeys const key_next
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, RandItKeys const key_range2
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, RandItKeys &key_mid)
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{
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if (key_next != key_range2) {
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::boost::adl_move_swap(*key_next, *key_range2);
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if (key_next == key_mid) {
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key_mid = key_range2;
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}
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else if (key_mid == key_range2) {
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key_mid = key_next;
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}
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}
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}
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template<class RandItKeys, class RandIt, class RandIt2, class Op>
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RandIt2 buffer_and_update_key
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(RandItKeys const key_next
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, RandItKeys const key_range2
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, RandItKeys &key_mid
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, RandIt begin
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, RandIt end
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, RandIt with
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, RandIt2 buffer
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, Op op)
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{
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if (begin != with) {
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while(begin != end) {
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op(three_way_t(), begin++, with++, buffer++);
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}
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::boost::adl_move_swap(*key_next, *key_range2);
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if (key_next == key_mid) {
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key_mid = key_range2;
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}
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else if (key_mid == key_range2) {
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key_mid = key_next;
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}
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}
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return buffer;
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}
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///////////////////////////////////////////////////////////////////////////////
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//
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// MERGE BUFFERLESS
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//
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///////////////////////////////////////////////////////////////////////////////
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// [first1, last1) merge [last1,last2) -> [first1,last2)
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template<class RandIt, class Compare>
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RandIt partial_merge_bufferless_impl
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(RandIt first1, RandIt last1, RandIt const last2, bool *const pis_range1_A, Compare comp)
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{
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if(last1 == last2){
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return first1;
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}
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bool const is_range1_A = *pis_range1_A;
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if(first1 != last1 && comp(*last1, last1[-1])){
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do{
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RandIt const old_last1 = last1;
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last1 = boost::movelib::lower_bound(last1, last2, *first1, comp);
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first1 = rotate_gcd(first1, old_last1, last1);//old_last1 == last1 supported
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if(last1 == last2){
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return first1;
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}
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do{
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++first1;
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} while(last1 != first1 && !comp(*last1, *first1) );
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} while(first1 != last1);
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}
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*pis_range1_A = !is_range1_A;
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return last1;
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}
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// [first1, last1) merge [last1,last2) -> [first1,last2)
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template<class RandIt, class Compare>
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RandIt partial_merge_bufferless
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(RandIt first1, RandIt last1, RandIt const last2, bool *const pis_range1_A, Compare comp)
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{
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return *pis_range1_A ? partial_merge_bufferless_impl(first1, last1, last2, pis_range1_A, comp)
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: partial_merge_bufferless_impl(first1, last1, last2, pis_range1_A, antistable<Compare>(comp));
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}
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template<class SizeType>
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static SizeType needed_keys_count(SizeType n_block_a, SizeType n_block_b)
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{
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return n_block_a + n_block_b;
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}
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template<class RandItKeys, class KeyCompare, class RandIt, class Compare>
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typename iterator_traits<RandIt>::size_type
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find_next_block
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( RandItKeys const key_first
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, KeyCompare key_comp
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, RandIt const first
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, typename iterator_traits<RandIt>::size_type const l_block
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, typename iterator_traits<RandIt>::size_type const ix_first_block
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, typename iterator_traits<RandIt>::size_type const ix_last_block
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, Compare comp)
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{
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typedef typename iterator_traits<RandIt>::size_type size_type;
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typedef typename iterator_traits<RandIt>::value_type value_type;
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typedef typename iterator_traits<RandItKeys>::value_type key_type;
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BOOST_ASSERT(ix_first_block <= ix_last_block);
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size_type ix_min_block = 0u;
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for (size_type szt_i = ix_first_block; szt_i < ix_last_block; ++szt_i) {
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const value_type &min_val = first[ix_min_block*l_block];
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const value_type &cur_val = first[szt_i*l_block];
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const key_type &min_key = key_first[ix_min_block];
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const key_type &cur_key = key_first[szt_i];
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bool const less_than_minimum = comp(cur_val, min_val) ||
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(!comp(min_val, cur_val) && key_comp(cur_key, min_key));
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if (less_than_minimum) {
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ix_min_block = szt_i;
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}
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}
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return ix_min_block;
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}
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template<class RandItKeys, class KeyCompare, class RandIt, class Compare>
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void merge_blocks_bufferless
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( RandItKeys const key_first
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, KeyCompare key_comp
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, RandIt const first
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, typename iterator_traits<RandIt>::size_type const l_block
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, typename iterator_traits<RandIt>::size_type const l_irreg1
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, typename iterator_traits<RandIt>::size_type const n_block_a
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, typename iterator_traits<RandIt>::size_type const n_block_b
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, typename iterator_traits<RandIt>::size_type const l_irreg2
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, Compare comp)
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{
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typedef typename iterator_traits<RandIt>::size_type size_type;
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size_type const key_count = needed_keys_count(n_block_a, n_block_b);
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::boost::ignore_unused(key_count);
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//BOOST_ASSERT(n_block_a || n_block_b);
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted_and_unique(key_first, key_first + key_count, key_comp));
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_b || n_block_a == count_if_with(key_first, key_first + key_count, key_comp, key_first[n_block_a]));
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size_type n_bef_irreg2 = 0;
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bool l_irreg_pos_count = true;
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RandItKeys key_mid(key_first + n_block_a);
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RandIt const first_irr2 = first + l_irreg1 + (n_block_a+n_block_b)*l_block;
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RandIt const last_irr2 = first_irr2 + l_irreg2;
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{ //Selection sort blocks
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size_type n_block_left = n_block_b + n_block_a;
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RandItKeys key_range2(key_first);
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size_type min_check = n_block_a == n_block_left ? 0u : n_block_a;
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size_type max_check = min_value<size_type>(min_check+1, n_block_left);
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for (RandIt f = first+l_irreg1; n_block_left; --n_block_left, ++key_range2, f += l_block, min_check -= min_check != 0, max_check -= max_check != 0) {
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size_type const next_key_idx = find_next_block(key_range2, key_comp, f, l_block, min_check, max_check, comp);
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RandItKeys const key_next(key_range2 + next_key_idx);
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max_check = min_value<size_type>(max_value<size_type>(max_check, next_key_idx+size_type(2)), n_block_left);
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RandIt const first_min = f + next_key_idx*l_block;
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//Check if irregular b block should go here.
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//If so, break to the special code handling the irregular block
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if (l_irreg_pos_count && l_irreg2 && comp(*first_irr2, *first_min)){
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l_irreg_pos_count = false;
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}
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n_bef_irreg2 += l_irreg_pos_count;
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swap_and_update_key(key_next, key_range2, key_mid, f, f + l_block, first_min);
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(f, f+l_block, comp));
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first_min, first_min + l_block, comp));
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT((f == (first+l_irreg1)) || !comp(*f, *(f-l_block)));
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}
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}
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first+l_irreg1+n_bef_irreg2*l_block, first_irr2, comp));
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RandIt first1 = first;
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RandIt last1 = first+l_irreg1;
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RandItKeys const key_end (key_first+n_bef_irreg2);
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bool is_range1_A = true;
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for(RandItKeys key_next = key_first; key_next != key_end; ++key_next){
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bool is_range2_A = key_mid == (key_first+key_count) || key_comp(*key_next, *key_mid);
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first1 = is_range1_A == is_range2_A
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? last1 : partial_merge_bufferless(first1, last1, last1 + l_block, &is_range1_A, comp);
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last1 += l_block;
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, first1, comp));
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}
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merge_bufferless(is_range1_A ? first1 : last1, first_irr2, last_irr2, comp);
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BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, last_irr2, comp));
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}
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// Complexity: 2*distance(first, last)+max_collected^2/2
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//
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// Tries to collect at most n_keys unique elements from [first, last),
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// in the begining of the range, and ordered according to comp
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//
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// Returns the number of collected keys
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template<class RandIt, class Compare, class XBuf>
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typename iterator_traits<RandIt>::size_type
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collect_unique
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( RandIt const first, RandIt const last
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, typename iterator_traits<RandIt>::size_type const max_collected, Compare comp
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, XBuf & xbuf)
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{
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typedef typename iterator_traits<RandIt>::size_type size_type;
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size_type h = 0;
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if(max_collected){
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++h; // first key is always here
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RandIt h0 = first;
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RandIt u = first; ++u;
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RandIt search_end = u;
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if(xbuf.capacity() >= max_collected){
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typename XBuf::iterator const ph0 = xbuf.add(first);
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while(u != last && h < max_collected){
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typename XBuf::iterator const r = boost::movelib::lower_bound(ph0, xbuf.end(), *u, comp);
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//If key not found add it to [h, h+h0)
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if(r == xbuf.end() || comp(*u, *r) ){
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RandIt const new_h0 = boost::move(search_end, u, h0);
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search_end = u;
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++search_end;
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++h;
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xbuf.insert(r, u);
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h0 = new_h0;
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}
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++u;
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}
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boost::move_backward(first, h0, h0+h);
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boost::move(xbuf.data(), xbuf.end(), first);
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}
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else{
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while(u != last && h < max_collected){
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RandIt const r = boost::movelib::lower_bound(h0, search_end, *u, comp);
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//If key not found add it to [h, h+h0)
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if(r == search_end || comp(*u, *r) ){
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RandIt const new_h0 = rotate_gcd(h0, search_end, u);
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search_end = u;
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++search_end;
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++h;
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rotate_gcd(r+(new_h0-h0), u, search_end);
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h0 = new_h0;
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}
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++u;
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}
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rotate_gcd(first, h0, h0+h);
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}
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}
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return h;
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}
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template<class Unsigned>
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Unsigned floor_sqrt(Unsigned const n)
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{
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Unsigned x = n;
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Unsigned y = x/2 + (x&1);
|
while (y < x){
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x = y;
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y = (x + n / x)/2;
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}
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return x;
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}
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template<class Unsigned>
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Unsigned ceil_sqrt(Unsigned const n)
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{
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Unsigned r = floor_sqrt(n);
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return r + Unsigned((n%r) != 0);
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}
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template<class Unsigned>
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Unsigned floor_merge_multiple(Unsigned const n, Unsigned &base, Unsigned &pow)
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{
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Unsigned s = n;
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Unsigned p = 0;
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while(s > AdaptiveSortInsertionSortThreshold){
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s /= 2;
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++p;
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}
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base = s;
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pow = p;
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return s << p;
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}
|
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template<class Unsigned>
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Unsigned ceil_merge_multiple(Unsigned const n, Unsigned &base, Unsigned &pow)
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{
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Unsigned fm = floor_merge_multiple(n, base, pow);
|
|
if(fm != n){
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if(base < AdaptiveSortInsertionSortThreshold){
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++base;
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}
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else{
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base = AdaptiveSortInsertionSortThreshold/2 + 1;
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++pow;
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}
|
}
|
return base << pow;
|
}
|
|
template<class Unsigned>
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Unsigned ceil_sqrt_multiple(Unsigned const n, Unsigned *pbase = 0)
|
{
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Unsigned const r = ceil_sqrt(n);
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Unsigned pow = 0;
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Unsigned base = 0;
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Unsigned const res = ceil_merge_multiple(r, base, pow);
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if(pbase) *pbase = base;
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return res;
|
}
|
|
struct less
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{
|
template<class T>
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bool operator()(const T &l, const T &r)
|
{ return l < r; }
|
};
|
|
///////////////////////////////////////////////////////////////////////////////
|
//
|
// MERGE BLOCKS
|
//
|
///////////////////////////////////////////////////////////////////////////////
|
|
//#define ADAPTIVE_SORT_MERGE_SLOW_STABLE_SORT_IS_NLOGN
|
|
#if defined ADAPTIVE_SORT_MERGE_SLOW_STABLE_SORT_IS_NLOGN
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template<class RandIt, class Compare>
|
void slow_stable_sort
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( RandIt const first, RandIt const last, Compare comp)
|
{
|
boost::movelib::inplace_stable_sort(first, last, comp);
|
}
|
|
#else //ADAPTIVE_SORT_MERGE_SLOW_STABLE_SORT_IS_NLOGN
|
|
template<class RandIt, class Compare>
|
void slow_stable_sort
|
( RandIt const first, RandIt const last, Compare comp)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type L = size_type(last - first);
|
{ //Use insertion sort to merge first elements
|
size_type m = 0;
|
while((L - m) > size_type(AdaptiveSortInsertionSortThreshold)){
|
insertion_sort(first+m, first+m+size_type(AdaptiveSortInsertionSortThreshold), comp);
|
m += AdaptiveSortInsertionSortThreshold;
|
}
|
insertion_sort(first+m, last, comp);
|
}
|
|
size_type h = AdaptiveSortInsertionSortThreshold;
|
for(bool do_merge = L > h; do_merge; h*=2){
|
do_merge = (L - h) > h;
|
size_type p0 = 0;
|
if(do_merge){
|
size_type const h_2 = 2*h;
|
while((L-p0) > h_2){
|
merge_bufferless(first+p0, first+p0+h, first+p0+h_2, comp);
|
p0 += h_2;
|
}
|
}
|
if((L-p0) > h){
|
merge_bufferless(first+p0, first+p0+h, last, comp);
|
}
|
}
|
}
|
|
#endif //ADAPTIVE_SORT_MERGE_SLOW_STABLE_SORT_IS_NLOGN
|
|
//Returns new l_block and updates use_buf
|
template<class Unsigned>
|
Unsigned lblock_for_combine
|
(Unsigned const l_block, Unsigned const n_keys, Unsigned const l_data, bool &use_buf)
|
{
|
BOOST_ASSERT(l_data > 1);
|
|
//We need to guarantee lblock >= l_merged/(n_keys/2) keys for the combination.
|
//We have at least 4 keys guaranteed (which are the minimum to merge 2 ranges)
|
//If l_block != 0, then n_keys is already enough to merge all blocks in all
|
//phases as we've found all needed keys for that buffer and length before.
|
//If l_block == 0 then see if half keys can be used as buffer and the rest
|
//as keys guaranteeing that n_keys >= (2*l_merged)/lblock =
|
if(!l_block){
|
//If l_block == 0 then n_keys is power of two
|
//(guaranteed by build_params(...))
|
BOOST_ASSERT(n_keys >= 4);
|
//BOOST_ASSERT(0 == (n_keys &(n_keys-1)));
|
|
//See if half keys are at least 4 and if half keys fulfill
|
Unsigned const new_buf = n_keys/2;
|
Unsigned const new_keys = n_keys-new_buf;
|
use_buf = new_keys >= 4 && new_keys >= l_data/new_buf;
|
if(use_buf){
|
return new_buf;
|
}
|
else{
|
return l_data/n_keys;
|
}
|
}
|
else{
|
use_buf = true;
|
return l_block;
|
}
|
}
|
|
template<class RandIt, class Compare, class XBuf>
|
void stable_sort( RandIt first, RandIt last, Compare comp, XBuf & xbuf)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const len = size_type(last - first);
|
size_type const half_len = len/2 + (len&1);
|
if(std::size_t(xbuf.capacity() - xbuf.size()) >= half_len) {
|
merge_sort(first, last, comp, xbuf.data()+xbuf.size());
|
}
|
else{
|
slow_stable_sort(first, last, comp);
|
}
|
}
|
|
template<class RandIt, class Comp, class XBuf>
|
void unstable_sort( RandIt first, RandIt last
|
, Comp comp
|
, XBuf & xbuf)
|
{
|
heap_sort(first, last, comp);
|
::boost::ignore_unused(xbuf);
|
}
|
|
template<class RandIt, class Compare, class XBuf>
|
void stable_merge
|
( RandIt first, RandIt const middle, RandIt last
|
, Compare comp
|
, XBuf &xbuf)
|
{
|
BOOST_ASSERT(xbuf.empty());
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const len1 = size_type(middle-first);
|
size_type const len2 = size_type(last-middle);
|
size_type const l_min = min_value<size_type>(len1, len2);
|
if(xbuf.capacity() >= l_min){
|
buffered_merge(first, middle, last, comp, xbuf);
|
xbuf.clear();
|
}
|
else{
|
//merge_bufferless(first, middle, last, comp);
|
merge_adaptive_ONlogN(first, middle, last, comp, xbuf.begin(), xbuf.capacity());
|
}
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, last, boost::movelib::unantistable(comp)));
|
}
|
|
template<class RandIt, class Comp, class XBuf>
|
void initialize_keys( RandIt first, RandIt last
|
, Comp comp
|
, XBuf & xbuf)
|
{
|
unstable_sort(first, last, comp, xbuf);
|
BOOST_ASSERT(boost::movelib::is_sorted_and_unique(first, last, comp));
|
}
|
|
template<class RandIt, class U>
|
void initialize_keys( RandIt first, RandIt last
|
, less
|
, U &)
|
{
|
typedef typename iterator_traits<RandIt>::value_type value_type;
|
std::size_t count = std::size_t(last - first);
|
for(std::size_t i = 0; i != count; ++i){
|
*first = static_cast<value_type>(i);
|
++first;
|
}
|
}
|
|
template <class Unsigned>
|
Unsigned calculate_total_combined(Unsigned const len, Unsigned const l_prev_merged, Unsigned *pl_irreg_combined = 0)
|
{
|
typedef Unsigned size_type;
|
|
size_type const l_combined = 2*l_prev_merged;
|
size_type l_irreg_combined = len%l_combined;
|
size_type l_total_combined = len;
|
if(l_irreg_combined <= l_prev_merged){
|
l_total_combined -= l_irreg_combined;
|
l_irreg_combined = 0;
|
}
|
if(pl_irreg_combined)
|
*pl_irreg_combined = l_irreg_combined;
|
return l_total_combined;
|
}
|
|
template<class RandItKeys, class KeyCompare, class SizeType, class XBuf>
|
void combine_params
|
( RandItKeys const keys
|
, KeyCompare key_comp
|
, SizeType l_combined
|
, SizeType const l_prev_merged
|
, SizeType const l_block
|
, XBuf & xbuf
|
//Output
|
, SizeType &n_block_a
|
, SizeType &n_block_b
|
, SizeType &l_irreg1
|
, SizeType &l_irreg2
|
//Options
|
, bool do_initialize_keys = true)
|
{
|
typedef SizeType size_type;
|
|
//Initial parameters for selection sort blocks
|
l_irreg1 = l_prev_merged%l_block;
|
l_irreg2 = (l_combined-l_irreg1)%l_block;
|
BOOST_ASSERT(((l_combined-l_irreg1-l_irreg2)%l_block) == 0);
|
size_type const n_reg_block = (l_combined-l_irreg1-l_irreg2)/l_block;
|
n_block_a = l_prev_merged/l_block;
|
n_block_b = n_reg_block - n_block_a;
|
BOOST_ASSERT(n_reg_block>=n_block_a);
|
|
//Key initialization
|
if (do_initialize_keys) {
|
initialize_keys(keys, keys + needed_keys_count(n_block_a, n_block_b), key_comp, xbuf);
|
}
|
}
|
|
|
|
//////////////////////////////////
|
//
|
// partial_merge
|
//
|
//////////////////////////////////
|
template<class InputIt1, class InputIt2, class OutputIt, class Compare, class Op>
|
OutputIt op_partial_merge_impl
|
(InputIt1 &r_first1, InputIt1 const last1, InputIt2 &r_first2, InputIt2 const last2, OutputIt d_first, Compare comp, Op op)
|
{
|
InputIt1 first1(r_first1);
|
InputIt2 first2(r_first2);
|
if(first2 != last2 && last1 != first1)
|
while(1){
|
if(comp(*first2, *first1)) {
|
op(first2++, d_first++);
|
if(first2 == last2){
|
break;
|
}
|
}
|
else{
|
op(first1++, d_first++);
|
if(first1 == last1){
|
break;
|
}
|
}
|
}
|
r_first1 = first1;
|
r_first2 = first2;
|
return d_first;
|
}
|
|
template<class InputIt1, class InputIt2, class OutputIt, class Compare, class Op>
|
OutputIt op_partial_merge
|
(InputIt1 &r_first1, InputIt1 const last1, InputIt2 &r_first2, InputIt2 const last2, OutputIt d_first, Compare comp, Op op, bool is_stable)
|
{
|
return is_stable ? op_partial_merge_impl(r_first1, last1, r_first2, last2, d_first, comp, op)
|
: op_partial_merge_impl(r_first1, last1, r_first2, last2, d_first, antistable<Compare>(comp), op);
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_partial_merge_and_save
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
template<class InputIt1, class InputIt2, class OutputIt, class Compare, class Op>
|
OutputIt op_partial_merge_and_swap_impl
|
(InputIt1 &r_first1, InputIt1 const last1, InputIt2 &r_first2, InputIt2 const last2, InputIt2 &r_first_min, OutputIt d_first, Compare comp, Op op)
|
{
|
InputIt1 first1(r_first1);
|
InputIt2 first2(r_first2);
|
|
if(first2 != last2 && last1 != first1) {
|
InputIt2 first_min(r_first_min);
|
bool non_empty_ranges = true;
|
do{
|
if(comp(*first_min, *first1)) {
|
op(three_way_t(), first2++, first_min++, d_first++);
|
non_empty_ranges = first2 != last2;
|
}
|
else{
|
op(first1++, d_first++);
|
non_empty_ranges = first1 != last1;
|
}
|
} while(non_empty_ranges);
|
r_first_min = first_min;
|
r_first1 = first1;
|
r_first2 = first2;
|
}
|
return d_first;
|
}
|
|
template<class RandIt, class InputIt2, class OutputIt, class Compare, class Op>
|
OutputIt op_partial_merge_and_swap
|
(RandIt &r_first1, RandIt const last1, InputIt2 &r_first2, InputIt2 const last2, InputIt2 &r_first_min, OutputIt d_first, Compare comp, Op op, bool is_stable)
|
{
|
return is_stable ? op_partial_merge_and_swap_impl(r_first1, last1, r_first2, last2, r_first_min, d_first, comp, op)
|
: op_partial_merge_and_swap_impl(r_first1, last1, r_first2, last2, r_first_min, d_first, antistable<Compare>(comp), op);
|
}
|
|
template<class RandIt1, class RandIt2, class RandItB, class Compare, class Op>
|
RandItB op_buffered_partial_merge_and_swap_to_range1_and_buffer
|
( RandIt1 first1, RandIt1 const last1
|
, RandIt2 &rfirst2, RandIt2 const last2, RandIt2 &rfirst_min
|
, RandItB &rfirstb, Compare comp, Op op )
|
{
|
RandItB firstb = rfirstb;
|
RandItB lastb = firstb;
|
RandIt2 first2 = rfirst2;
|
|
//Move to buffer while merging
|
//Three way moves need less moves when op is swap_op so use it
|
//when merging elements from range2 to the destination occupied by range1
|
if(first1 != last1 && first2 != last2){
|
RandIt2 first_min = rfirst_min;
|
op(four_way_t(), first2++, first_min++, first1++, lastb++);
|
|
while(first1 != last1){
|
if(first2 == last2){
|
lastb = op(forward_t(), first1, last1, firstb);
|
break;
|
}
|
|
if(comp(*first_min, *firstb)){
|
op( four_way_t(), first2++, first_min++, first1++, lastb++);
|
}
|
else{
|
op(three_way_t(), firstb++, first1++, lastb++);
|
}
|
}
|
rfirst2 = first2;
|
rfirstb = firstb;
|
rfirst_min = first_min;
|
}
|
|
return lastb;
|
}
|
|
template<class RandIt1, class RandIt2, class RandItB, class Compare, class Op>
|
RandItB op_buffered_partial_merge_to_range1_and_buffer
|
( RandIt1 first1, RandIt1 const last1
|
, RandIt2 &rfirst2, RandIt2 const last2
|
, RandItB &rfirstb, Compare comp, Op op )
|
{
|
RandItB firstb = rfirstb;
|
RandItB lastb = firstb;
|
RandIt2 first2 = rfirst2;
|
|
//Move to buffer while merging
|
//Three way moves need less moves when op is swap_op so use it
|
//when merging elements from range2 to the destination occupied by range1
|
if(first1 != last1 && first2 != last2){
|
op(three_way_t(), first2++, first1++, lastb++);
|
|
while(true){
|
if(first1 == last1){
|
break;
|
}
|
if(first2 == last2){
|
lastb = op(forward_t(), first1, last1, firstb);
|
break;
|
}
|
if (comp(*first2, *firstb)) {
|
op(three_way_t(), first2++, first1++, lastb++);
|
}
|
else {
|
op(three_way_t(), firstb++, first1++, lastb++);
|
}
|
}
|
rfirst2 = first2;
|
rfirstb = firstb;
|
}
|
|
return lastb;
|
}
|
|
template<class RandIt, class RandItBuf, class Compare, class Op>
|
RandIt op_partial_merge_and_save_impl
|
( RandIt first1, RandIt const last1, RandIt &rfirst2, RandIt last2, RandIt first_min
|
, RandItBuf &buf_first1_in_out, RandItBuf &buf_last1_in_out
|
, Compare comp, Op op
|
)
|
{
|
RandItBuf buf_first1 = buf_first1_in_out;
|
RandItBuf buf_last1 = buf_last1_in_out;
|
RandIt first2(rfirst2);
|
|
bool const do_swap = first2 != first_min;
|
if(buf_first1 == buf_last1){
|
//Skip any element that does not need to be moved
|
RandIt new_first1 = skip_until_merge(first1, last1, *first_min, comp);
|
buf_first1 += (new_first1-first1);
|
first1 = new_first1;
|
buf_last1 = do_swap ? op_buffered_partial_merge_and_swap_to_range1_and_buffer(first1, last1, first2, last2, first_min, buf_first1, comp, op)
|
: op_buffered_partial_merge_to_range1_and_buffer (first1, last1, first2, last2, buf_first1, comp, op);
|
first1 = last1;
|
}
|
else{
|
BOOST_ASSERT((last1-first1) == (buf_last1 - buf_first1));
|
}
|
|
//Now merge from buffer
|
first1 = do_swap ? op_partial_merge_and_swap_impl(buf_first1, buf_last1, first2, last2, first_min, first1, comp, op)
|
: op_partial_merge_impl (buf_first1, buf_last1, first2, last2, first1, comp, op);
|
buf_first1_in_out = buf_first1;
|
buf_last1_in_out = buf_last1;
|
rfirst2 = first2;
|
return first1;
|
}
|
|
template<class RandIt, class RandItBuf, class Compare, class Op>
|
RandIt op_partial_merge_and_save
|
( RandIt first1, RandIt const last1, RandIt &rfirst2, RandIt last2, RandIt first_min
|
, RandItBuf &buf_first1_in_out
|
, RandItBuf &buf_last1_in_out
|
, Compare comp
|
, Op op
|
, bool is_stable)
|
{
|
return is_stable
|
? op_partial_merge_and_save_impl
|
(first1, last1, rfirst2, last2, first_min, buf_first1_in_out, buf_last1_in_out, comp, op)
|
: op_partial_merge_and_save_impl
|
(first1, last1, rfirst2, last2, first_min, buf_first1_in_out, buf_last1_in_out, antistable<Compare>(comp), op)
|
;
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_merge_blocks_with_irreg
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
|
template<class RandItKeys, class KeyCompare, class RandIt, class RandIt2, class OutputIt, class Compare, class Op>
|
OutputIt op_merge_blocks_with_irreg
|
( RandItKeys key_first
|
, RandItKeys key_mid
|
, KeyCompare key_comp
|
, RandIt first_reg
|
, RandIt2 &first_irr
|
, RandIt2 const last_irr
|
, OutputIt dest
|
, typename iterator_traits<RandIt>::size_type const l_block
|
, typename iterator_traits<RandIt>::size_type n_block_left
|
, typename iterator_traits<RandIt>::size_type min_check
|
, typename iterator_traits<RandIt>::size_type max_check
|
, Compare comp, bool const is_stable, Op op)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
|
for(; n_block_left; --n_block_left, ++key_first, min_check -= min_check != 0, max_check -= max_check != 0){
|
size_type next_key_idx = find_next_block(key_first, key_comp, first_reg, l_block, min_check, max_check, comp);
|
max_check = min_value<size_type>(max_value<size_type>(max_check, next_key_idx+size_type(2)), n_block_left);
|
RandIt const last_reg = first_reg + l_block;
|
RandIt first_min = first_reg + next_key_idx*l_block;
|
RandIt const last_min = first_min + l_block;
|
boost::ignore_unused(last_min);
|
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first_reg, last_reg, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!next_key_idx || boost::movelib::is_sorted(first_min, last_min, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT((!next_key_idx || !comp(*first_reg, *first_min )));
|
|
OutputIt orig_dest = dest;
|
boost::ignore_unused(orig_dest);
|
dest = next_key_idx ? op_partial_merge_and_swap(first_irr, last_irr, first_reg, last_reg, first_min, dest, comp, op, is_stable)
|
: op_partial_merge (first_irr, last_irr, first_reg, last_reg, dest, comp, op, is_stable);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(orig_dest, dest, comp));
|
|
if(first_reg == dest){
|
dest = next_key_idx ? ::boost::adl_move_swap_ranges(first_min, last_min, first_reg)
|
: last_reg;
|
}
|
else{
|
dest = next_key_idx ? op(three_way_forward_t(), first_reg, last_reg, first_min, dest)
|
: op(forward_t(), first_reg, last_reg, dest);
|
}
|
|
RandItKeys const key_next(key_first + next_key_idx);
|
swap_and_update_key(key_next, key_first, key_mid, last_reg, last_reg, first_min);
|
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(orig_dest, dest, comp));
|
first_reg = last_reg;
|
}
|
return dest;
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_merge_blocks_left/right
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
|
template<class RandItKeys, class KeyCompare, class RandIt, class Compare, class Op>
|
void op_merge_blocks_left
|
( RandItKeys const key_first
|
, KeyCompare key_comp
|
, RandIt const first
|
, typename iterator_traits<RandIt>::size_type const l_block
|
, typename iterator_traits<RandIt>::size_type const l_irreg1
|
, typename iterator_traits<RandIt>::size_type const n_block_a
|
, typename iterator_traits<RandIt>::size_type const n_block_b
|
, typename iterator_traits<RandIt>::size_type const l_irreg2
|
, Compare comp, Op op)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const key_count = needed_keys_count(n_block_a, n_block_b);
|
boost::ignore_unused(key_count);
|
|
// BOOST_ASSERT(n_block_a || n_block_b);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted_and_unique(key_first, key_first + key_count, key_comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_b || n_block_a == count_if_with(key_first, key_first + key_count, key_comp, key_first[n_block_a]));
|
|
size_type n_block_b_left = n_block_b;
|
size_type n_block_a_left = n_block_a;
|
size_type n_block_left = n_block_b + n_block_a;
|
RandItKeys key_mid(key_first + n_block_a);
|
|
RandIt buffer = first - l_block;
|
RandIt first1 = first;
|
RandIt last1 = first1 + l_irreg1;
|
RandIt first2 = last1;
|
RandIt const irreg2 = first2 + n_block_left*l_block;
|
bool is_range1_A = true;
|
|
RandItKeys key_range2(key_first);
|
|
////////////////////////////////////////////////////////////////////////////
|
//Process all regular blocks before the irregular B block
|
////////////////////////////////////////////////////////////////////////////
|
size_type min_check = n_block_a == n_block_left ? 0u : n_block_a;
|
size_type max_check = min_value<size_type>(min_check+size_type(1), n_block_left);
|
for (; n_block_left; --n_block_left, ++key_range2, min_check -= min_check != 0, max_check -= max_check != 0) {
|
size_type const next_key_idx = find_next_block(key_range2, key_comp, first2, l_block, min_check, max_check, comp);
|
max_check = min_value<size_type>(max_value<size_type>(max_check, next_key_idx+size_type(2)), n_block_left);
|
RandIt const first_min = first2 + next_key_idx*l_block;
|
RandIt const last_min = first_min + l_block;
|
|
boost::ignore_unused(last_min);
|
RandIt const last2 = first2 + l_block;
|
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first1, last1, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first2, last2, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_left || boost::movelib::is_sorted(first_min, last_min, comp));
|
|
//Check if irregular b block should go here.
|
//If so, break to the special code handling the irregular block
|
if (!n_block_b_left &&
|
( (l_irreg2 && comp(*irreg2, *first_min)) || (!l_irreg2 && is_range1_A)) ){
|
break;
|
}
|
|
RandItKeys const key_next(key_range2 + next_key_idx);
|
bool const is_range2_A = key_mid == (key_first+key_count) || key_comp(*key_next, *key_mid);
|
|
bool const is_buffer_middle = last1 == buffer;
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT( ( is_buffer_middle && size_type(first2-buffer) == l_block && buffer == last1) ||
|
(!is_buffer_middle && size_type(first1-buffer) == l_block && first2 == last1));
|
|
if(is_range1_A == is_range2_A){
|
BOOST_ASSERT((first1 == last1) || !comp(*first_min, last1[-1]));
|
if(!is_buffer_middle){
|
buffer = op(forward_t(), first1, last1, buffer);
|
}
|
swap_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min);
|
first1 = first2;
|
last1 = last2;
|
}
|
else {
|
RandIt unmerged;
|
RandIt buf_beg;
|
RandIt buf_end;
|
if(is_buffer_middle){
|
buf_end = buf_beg = first2 - (last1-first1);
|
unmerged = op_partial_merge_and_save( first1, last1, first2, last2, first_min
|
, buf_beg, buf_end, comp, op, is_range1_A);
|
}
|
else{
|
buf_beg = first1;
|
buf_end = last1;
|
unmerged = op_partial_merge_and_save
|
(buffer, buffer+(last1-first1), first2, last2, first_min, buf_beg, buf_end, comp, op, is_range1_A);
|
}
|
|
boost::ignore_unused(unmerged);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first-l_block, unmerged, comp));
|
|
swap_and_update_key( key_next, key_range2, key_mid, first2, last2
|
, last_min - size_type(last2 - first2));
|
|
if(buf_beg != buf_end){ //range2 exhausted: is_buffer_middle for the next iteration
|
first1 = buf_beg;
|
last1 = buf_end;
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(buf_end == (last2-l_block));
|
buffer = last1;
|
}
|
else{ //range1 exhausted: !is_buffer_middle for the next iteration
|
first1 = first2;
|
last1 = last2;
|
buffer = first2 - l_block;
|
is_range1_A = is_range2_A;
|
}
|
}
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT( (is_range2_A && n_block_a_left) || (!is_range2_A && n_block_b_left));
|
is_range2_A ? --n_block_a_left : --n_block_b_left;
|
first2 = last2;
|
}
|
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_b || n_block_a == count_if_with(key_first, key_range2 + n_block_left, key_comp, *key_mid));
|
BOOST_ASSERT(!n_block_b_left);
|
|
////////////////////////////////////////////////////////////////////////////
|
//Process remaining range 1 left before the irregular B block
|
////////////////////////////////////////////////////////////////////////////
|
bool const is_buffer_middle = last1 == buffer;
|
RandIt first_irr2 = irreg2;
|
RandIt const last_irr2 = first_irr2 + l_irreg2;
|
if(l_irreg2 && is_range1_A){
|
if(is_buffer_middle){
|
first1 = skip_until_merge(first1, last1, *first_irr2, comp);
|
//Even if we copy backward, no overlapping occurs so use forward copy
|
//that can be faster specially with trivial types
|
RandIt const new_first1 = first2 - (last1 - first1);
|
op(forward_t(), first1, last1, new_first1);
|
first1 = new_first1;
|
last1 = first2;
|
buffer = first1 - l_block;
|
}
|
buffer = op_partial_merge_impl(first1, last1, first_irr2, last_irr2, buffer, comp, op);
|
buffer = op(forward_t(), first1, last1, buffer);
|
}
|
else if(!is_buffer_middle){
|
buffer = op(forward_t(), first1, last1, buffer);
|
}
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first-l_block, buffer, comp));
|
|
////////////////////////////////////////////////////////////////////////////
|
//Process irregular B block and remaining A blocks
|
////////////////////////////////////////////////////////////////////////////
|
buffer = op_merge_blocks_with_irreg
|
( key_range2, key_mid, key_comp, first2, first_irr2, last_irr2
|
, buffer, l_block, n_block_left, min_check, max_check, comp, false, op);
|
buffer = op(forward_t(), first_irr2, last_irr2, buffer);
|
boost::ignore_unused(buffer);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first-l_block, buffer, comp));
|
}
|
|
// first - first element to merge.
|
// first[-l_block, 0) - buffer (if use_buf == true)
|
// l_block - length of regular blocks. First nblocks are stable sorted by 1st elements and key-coded
|
// keys - sequence of keys, in same order as blocks. key<midkey means stream A
|
// n_bef_irreg2/n_aft_irreg2 are regular blocks
|
// l_irreg2 is a irregular block, that is to be combined after n_bef_irreg2 blocks and before n_aft_irreg2 blocks
|
// If l_irreg2==0 then n_aft_irreg2==0 (no irregular blocks).
|
template<class RandItKeys, class KeyCompare, class RandIt, class Compare>
|
void merge_blocks_left
|
( RandItKeys const key_first
|
, KeyCompare key_comp
|
, RandIt const first
|
, typename iterator_traits<RandIt>::size_type const l_block
|
, typename iterator_traits<RandIt>::size_type const l_irreg1
|
, typename iterator_traits<RandIt>::size_type const n_block_a
|
, typename iterator_traits<RandIt>::size_type const n_block_b
|
, typename iterator_traits<RandIt>::size_type const l_irreg2
|
, Compare comp
|
, bool const xbuf_used)
|
{
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_b || n_block_a == count_if_with(key_first, key_first + needed_keys_count(n_block_a, n_block_b), key_comp, key_first[n_block_a]));
|
if(xbuf_used){
|
op_merge_blocks_left
|
(key_first, key_comp, first, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp, move_op());
|
}
|
else{
|
op_merge_blocks_left
|
(key_first, key_comp, first, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp, swap_op());
|
}
|
}
|
|
// first - first element to merge.
|
// [first+l_block*(n_bef_irreg2+n_aft_irreg2)+l_irreg2, first+l_block*(n_bef_irreg2+n_aft_irreg2+1)+l_irreg2) - buffer
|
// l_block - length of regular blocks. First nblocks are stable sorted by 1st elements and key-coded
|
// keys - sequence of keys, in same order as blocks. key<midkey means stream A
|
// n_bef_irreg2/n_aft_irreg2 are regular blocks
|
// l_irreg2 is a irregular block, that is to be combined after n_bef_irreg2 blocks and before n_aft_irreg2 blocks
|
// If l_irreg2==0 then n_aft_irreg2==0 (no irregular blocks).
|
template<class RandItKeys, class KeyCompare, class RandIt, class Compare>
|
void merge_blocks_right
|
( RandItKeys const key_first
|
, KeyCompare key_comp
|
, RandIt const first
|
, typename iterator_traits<RandIt>::size_type const l_block
|
, typename iterator_traits<RandIt>::size_type const n_block_a
|
, typename iterator_traits<RandIt>::size_type const n_block_b
|
, typename iterator_traits<RandIt>::size_type const l_irreg2
|
, Compare comp
|
, bool const xbuf_used)
|
{
|
merge_blocks_left
|
( (make_reverse_iterator)(key_first + needed_keys_count(n_block_a, n_block_b))
|
, inverse<KeyCompare>(key_comp)
|
, (make_reverse_iterator)(first + ((n_block_a+n_block_b)*l_block+l_irreg2))
|
, l_block
|
, l_irreg2
|
, n_block_b
|
, n_block_a
|
, 0
|
, inverse<Compare>(comp), xbuf_used);
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_merge_blocks_with_buf
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
template<class RandItKeys, class KeyCompare, class RandIt, class Compare, class Op, class RandItBuf>
|
void op_merge_blocks_with_buf
|
( RandItKeys key_first
|
, KeyCompare key_comp
|
, RandIt const first
|
, typename iterator_traits<RandIt>::size_type const l_block
|
, typename iterator_traits<RandIt>::size_type const l_irreg1
|
, typename iterator_traits<RandIt>::size_type const n_block_a
|
, typename iterator_traits<RandIt>::size_type const n_block_b
|
, typename iterator_traits<RandIt>::size_type const l_irreg2
|
, Compare comp
|
, Op op
|
, RandItBuf const buf_first)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const key_count = needed_keys_count(n_block_a, n_block_b);
|
boost::ignore_unused(key_count);
|
//BOOST_ASSERT(n_block_a || n_block_b);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted_and_unique(key_first, key_first + key_count, key_comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_b || n_block_a == count_if_with(key_first, key_first + key_count, key_comp, key_first[n_block_a]));
|
|
size_type n_block_b_left = n_block_b;
|
size_type n_block_a_left = n_block_a;
|
size_type n_block_left = n_block_b + n_block_a;
|
RandItKeys key_mid(key_first + n_block_a);
|
|
RandItBuf buffer = buf_first;
|
RandItBuf buffer_end = buffer;
|
RandIt first1 = first;
|
RandIt last1 = first1 + l_irreg1;
|
RandIt first2 = last1;
|
RandIt const first_irr2 = first2 + n_block_left*l_block;
|
bool is_range1_A = true;
|
const size_type len = l_block * n_block_a + l_block * n_block_b + l_irreg1 + l_irreg2;
|
boost::ignore_unused(len);
|
|
RandItKeys key_range2(key_first);
|
|
////////////////////////////////////////////////////////////////////////////
|
//Process all regular blocks before the irregular B block
|
////////////////////////////////////////////////////////////////////////////
|
size_type min_check = n_block_a == n_block_left ? 0u : n_block_a;
|
size_type max_check = min_value<size_type>(min_check+size_type(1), n_block_left);
|
for (; n_block_left; --n_block_left, ++key_range2, min_check -= min_check != 0, max_check -= max_check != 0) {
|
size_type const next_key_idx = find_next_block(key_range2, key_comp, first2, l_block, min_check, max_check, comp);
|
max_check = min_value<size_type>(max_value<size_type>(max_check, next_key_idx+size_type(2)), n_block_left);
|
RandIt first_min = first2 + next_key_idx*l_block;
|
RandIt const last_min = first_min + l_block;
|
boost::ignore_unused(last_min);
|
RandIt const last2 = first2 + l_block;
|
|
bool const buffer_empty = buffer == buffer_end;
|
boost::ignore_unused(buffer_empty);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(buffer_empty ? boost::movelib::is_sorted(first1, last1, comp) : boost::movelib::is_sorted(buffer, buffer_end, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first2, last2, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!n_block_left || boost::movelib::is_sorted(first_min, last_min, comp));
|
|
//Check if irregular b block should go here.
|
//If so, break to the special code handling the irregular block
|
if (!n_block_b_left &&
|
( (l_irreg2 && comp(*first_irr2, *first_min)) || (!l_irreg2 && is_range1_A)) ){
|
break;
|
}
|
|
RandItKeys const key_next(key_range2 + next_key_idx);
|
bool const is_range2_A = key_mid == (key_first+key_count) || key_comp(*key_next, *key_mid);
|
|
if(is_range1_A == is_range2_A){
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT((first1 == last1) || (buffer_empty ? !comp(*first_min, last1[-1]) : !comp(*first_min, buffer_end[-1])));
|
//If buffered, put those elements in place
|
RandIt res = op(forward_t(), buffer, buffer_end, first1);
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_fwd: ", len);
|
buffer = buffer_end = buf_first;
|
BOOST_ASSERT(buffer_empty || res == last1);
|
boost::ignore_unused(res);
|
//swap_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min);
|
buffer_end = buffer_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min, buffer = buf_first, op);
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_swp: ", len);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first2, last2, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first_min, last_min, comp));
|
first1 = first2;
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, first1, comp));
|
}
|
else {
|
RandIt const unmerged = op_partial_merge_and_save(first1, last1, first2, last2, first_min, buffer, buffer_end, comp, op, is_range1_A);
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_mrs: ", len);
|
bool const is_range_1_empty = buffer == buffer_end;
|
BOOST_ASSERT(is_range_1_empty || (buffer_end-buffer) == (last1+l_block-unmerged));
|
if(is_range_1_empty){
|
buffer = buffer_end = buf_first;
|
first_min = last_min - (last2 - first2);
|
//swap_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min);
|
buffer_end = buffer_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min, buf_first, op);
|
}
|
else{
|
first_min = last_min;
|
//swap_and_update_key(key_next, key_range2, key_mid, first2, last2, first_min);
|
update_key(key_next, key_range2, key_mid);
|
}
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(!is_range_1_empty || (last_min-first_min) == (last2-unmerged));
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_swp: ", len);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first_min, last_min, comp));
|
is_range1_A ^= is_range_1_empty;
|
first1 = unmerged;
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, unmerged, comp));
|
}
|
BOOST_ASSERT( (is_range2_A && n_block_a_left) || (!is_range2_A && n_block_b_left));
|
is_range2_A ? --n_block_a_left : --n_block_b_left;
|
last1 += l_block;
|
first2 = last2;
|
}
|
RandIt res = op(forward_t(), buffer, buffer_end, first1);
|
boost::ignore_unused(res);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, res, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_fwd: ", len);
|
|
////////////////////////////////////////////////////////////////////////////
|
//Process irregular B block and remaining A blocks
|
////////////////////////////////////////////////////////////////////////////
|
RandIt const last_irr2 = first_irr2 + l_irreg2;
|
op(forward_t(), first_irr2, first_irr2+l_irreg2, buf_first);
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_fwir:", len);
|
buffer = buf_first;
|
buffer_end = buffer+l_irreg2;
|
|
reverse_iterator<RandItBuf> rbuf_beg(buffer_end);
|
RandIt dest = op_merge_blocks_with_irreg
|
((make_reverse_iterator)(key_first + n_block_b + n_block_a), (make_reverse_iterator)(key_mid), inverse<KeyCompare>(key_comp)
|
, (make_reverse_iterator)(first_irr2), rbuf_beg, (make_reverse_iterator)(buffer), (make_reverse_iterator)(last_irr2)
|
, l_block, n_block_left, 0, n_block_left
|
, inverse<Compare>(comp), true, op).base();
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(dest, last_irr2, comp));
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_blocks_w_irg: ", len);
|
|
buffer_end = rbuf_beg.base();
|
BOOST_ASSERT((dest-last1) == (buffer_end-buffer));
|
op_merge_with_left_placed(is_range1_A ? first1 : last1, last1, dest, buffer, buffer_end, comp, op);
|
BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" merge_with_left_plc:", len);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(first, last_irr2, comp));
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_insertion_sort_step_left/right
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
|
template<class RandIt, class Compare, class Op>
|
typename iterator_traits<RandIt>::size_type
|
op_insertion_sort_step_left
|
( RandIt const first
|
, typename iterator_traits<RandIt>::size_type const length
|
, typename iterator_traits<RandIt>::size_type const step
|
, Compare comp, Op op)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const s = min_value<size_type>(step, AdaptiveSortInsertionSortThreshold);
|
size_type m = 0;
|
|
while((length - m) > s){
|
insertion_sort_op(first+m, first+m+s, first+m-s, comp, op);
|
m += s;
|
}
|
insertion_sort_op(first+m, first+length, first+m-s, comp, op);
|
return s;
|
}
|
|
template<class RandIt, class Compare, class Op>
|
void op_merge_right_step_once
|
( RandIt first_block
|
, typename iterator_traits<RandIt>::size_type const elements_in_blocks
|
, typename iterator_traits<RandIt>::size_type const l_build_buf
|
, Compare comp
|
, Op op)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type restk = elements_in_blocks%(2*l_build_buf);
|
size_type p = elements_in_blocks - restk;
|
BOOST_ASSERT(0 == (p%(2*l_build_buf)));
|
|
if(restk <= l_build_buf){
|
op(backward_t(),first_block+p, first_block+p+restk, first_block+p+restk+l_build_buf);
|
}
|
else{
|
op_merge_right(first_block+p, first_block+p+l_build_buf, first_block+p+restk, first_block+p+restk+l_build_buf, comp, op);
|
}
|
while(p>0){
|
p -= 2*l_build_buf;
|
op_merge_right(first_block+p, first_block+p+l_build_buf, first_block+p+2*l_build_buf, first_block+p+3*l_build_buf, comp, op);
|
}
|
}
|
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// insertion_sort_step
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
template<class RandIt, class Compare>
|
typename iterator_traits<RandIt>::size_type
|
insertion_sort_step
|
( RandIt const first
|
, typename iterator_traits<RandIt>::size_type const length
|
, typename iterator_traits<RandIt>::size_type const step
|
, Compare comp)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
size_type const s = min_value<size_type>(step, AdaptiveSortInsertionSortThreshold);
|
size_type m = 0;
|
|
while((length - m) > s){
|
insertion_sort(first+m, first+m+s, comp);
|
m += s;
|
}
|
insertion_sort(first+m, first+length, comp);
|
return s;
|
}
|
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
//
|
// op_merge_left_step_multiple
|
//
|
//////////////////////////////////
|
//////////////////////////////////
|
//////////////////////////////////
|
template<class RandIt, class Compare, class Op>
|
typename iterator_traits<RandIt>::size_type
|
op_merge_left_step_multiple
|
( RandIt first_block
|
, typename iterator_traits<RandIt>::size_type const elements_in_blocks
|
, typename iterator_traits<RandIt>::size_type l_merged
|
, typename iterator_traits<RandIt>::size_type const l_build_buf
|
, typename iterator_traits<RandIt>::size_type l_left_space
|
, Compare comp
|
, Op op)
|
{
|
typedef typename iterator_traits<RandIt>::size_type size_type;
|
for(; l_merged < l_build_buf && l_left_space >= l_merged; l_merged*=2){
|
size_type p0=0;
|
RandIt pos = first_block;
|
while((elements_in_blocks - p0) > 2*l_merged) {
|
op_merge_left(pos-l_merged, pos, pos+l_merged, pos+2*l_merged, comp, op);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(pos-l_merged, pos+l_merged, comp));
|
p0 += 2*l_merged;
|
pos = first_block+p0;
|
}
|
if((elements_in_blocks-p0) > l_merged) {
|
op_merge_left(pos-l_merged, pos, pos+l_merged, first_block+elements_in_blocks, comp, op);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(pos-l_merged, pos-l_merged+(first_block+elements_in_blocks-pos), comp));
|
}
|
else {
|
op(forward_t(), pos, first_block+elements_in_blocks, pos-l_merged);
|
BOOST_MOVE_ADAPTIVE_SORT_INVARIANT(boost::movelib::is_sorted(pos-l_merged, first_block+elements_in_blocks-l_merged, comp));
|
}
|
first_block -= l_merged;
|
l_left_space -= l_merged;
|
}
|
return l_merged;
|
}
|
|
|
} //namespace detail_adaptive {
|
} //namespace movelib {
|
} //namespace boost {
|
|
#include <boost/move/detail/config_end.hpp>
|
|
#endif //#define BOOST_MOVE_ADAPTIVE_SORT_MERGE_HPP
|
