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- //////////////////////////////////////////////////////////////////////////////
- //
- // (C) Copyright Ion Gaztanaga 2015-2016.
- // Distributed under the Boost Software License, Version 1.0.
- // (See accompanying file LICENSE_1_0.txt or copy at
- // http://www.boost.org/LICENSE_1_0.txt)
- //
- // See http://www.boost.org/libs/move for documentation.
- //
- //////////////////////////////////////////////////////////////////////////////
- #ifndef BOOST_MOVE_ADAPTIVE_MERGE_HPP
- #define BOOST_MOVE_ADAPTIVE_MERGE_HPP
- #include <boost/move/detail/config_begin.hpp>
- #include <boost/move/algo/detail/adaptive_sort_merge.hpp>
- namespace boost {
- namespace movelib {
- ///@cond
- namespace detail_adaptive {
- template<class RandIt, class Compare, class XBuf>
- inline void adaptive_merge_combine_blocks( RandIt first
- , typename iterator_traits<RandIt>::size_type len1
- , typename iterator_traits<RandIt>::size_type len2
- , typename iterator_traits<RandIt>::size_type collected
- , typename iterator_traits<RandIt>::size_type n_keys
- , typename iterator_traits<RandIt>::size_type l_block
- , bool use_internal_buf
- , bool xbuf_used
- , Compare comp
- , XBuf & xbuf
- )
- {
- typedef typename iterator_traits<RandIt>::size_type size_type;
- size_type const len = len1+len2;
- size_type const l_combine = len-collected;
- size_type const l_combine1 = len1-collected;
- if(n_keys){
- RandIt const first_data = first+collected;
- RandIt const keys = first;
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" A combine: ", len);
- if(xbuf_used){
- if(xbuf.size() < l_block){
- xbuf.initialize_until(l_block, *first);
- }
- BOOST_ASSERT(xbuf.size() >= l_block);
- size_type n_block_a, n_block_b, l_irreg1, l_irreg2;
- combine_params( keys, comp, l_combine
- , l_combine1, l_block, xbuf
- , n_block_a, n_block_b, l_irreg1, l_irreg2); //Outputs
- op_merge_blocks_with_buf
- (keys, comp, first_data, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp, move_op(), xbuf.data());
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(" A mrg xbf: ", len);
- }
- else{
- size_type n_block_a, n_block_b, l_irreg1, l_irreg2;
- combine_params( keys, comp, l_combine
- , l_combine1, l_block, xbuf
- , n_block_a, n_block_b, l_irreg1, l_irreg2); //Outputs
- if(use_internal_buf){
- op_merge_blocks_with_buf
- (keys, comp, first_data, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp, swap_op(), first_data-l_block);
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" A mrg buf: ", len);
- }
- else{
- merge_blocks_bufferless
- (keys, comp, first_data, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp);
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(" A mrg nbf: ", len);
- }
- }
- }
- else{
- xbuf.shrink_to_fit(l_block);
- if(xbuf.size() < l_block){
- xbuf.initialize_until(l_block, *first);
- }
- size_type *const uint_keys = xbuf.template aligned_trailing<size_type>(l_block);
- size_type n_block_a, n_block_b, l_irreg1, l_irreg2;
- combine_params( uint_keys, less(), l_combine
- , l_combine1, l_block, xbuf
- , n_block_a, n_block_b, l_irreg1, l_irreg2, true); //Outputs
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" A combine: ", len);
- BOOST_ASSERT(xbuf.size() >= l_block);
- op_merge_blocks_with_buf
- (uint_keys, less(), first, l_block, l_irreg1, n_block_a, n_block_b, l_irreg2, comp, move_op(), xbuf.data());
- xbuf.clear();
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(" A mrg buf: ", len);
- }
- }
- template<class RandIt, class Compare, class XBuf>
- inline void adaptive_merge_final_merge( RandIt first
- , typename iterator_traits<RandIt>::size_type len1
- , typename iterator_traits<RandIt>::size_type len2
- , typename iterator_traits<RandIt>::size_type collected
- , typename iterator_traits<RandIt>::size_type l_intbuf
- , typename iterator_traits<RandIt>::size_type //l_block
- , bool //use_internal_buf
- , bool xbuf_used
- , Compare comp
- , XBuf & xbuf
- )
- {
- typedef typename iterator_traits<RandIt>::size_type size_type;
- size_type n_keys = collected-l_intbuf;
- size_type len = len1+len2;
- if (!xbuf_used || n_keys) {
- xbuf.clear();
- const size_type middle = xbuf_used && n_keys ? n_keys: collected;
- unstable_sort(first, first + middle, comp, xbuf);
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L2(" A k/b srt: ", len);
- stable_merge(first, first + middle, first + len, comp, xbuf);
- }
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1(" A fin mrg: ", len);
- }
- template<class SizeType>
- inline static SizeType adaptive_merge_n_keys_without_external_keys(SizeType l_block, SizeType len1, SizeType len2, SizeType l_intbuf)
- {
- typedef SizeType size_type;
- //This is the minimum number of keys to implement the ideal algorithm
- size_type n_keys = len1/l_block+len2/l_block;
- const size_type second_half_blocks = len2/l_block;
- const size_type first_half_aux = len1-l_intbuf;
- while(n_keys >= ((first_half_aux-n_keys)/l_block + second_half_blocks)){
- --n_keys;
- }
- ++n_keys;
- return n_keys;
- }
- template<class SizeType>
- inline static SizeType adaptive_merge_n_keys_with_external_keys(SizeType l_block, SizeType len1, SizeType len2, SizeType l_intbuf)
- {
- typedef SizeType size_type;
- //This is the minimum number of keys to implement the ideal algorithm
- size_type n_keys = (len1-l_intbuf)/l_block + len2/l_block;
- return n_keys;
- }
- template<class SizeType, class Xbuf>
- inline SizeType adaptive_merge_n_keys_intbuf(SizeType &rl_block, SizeType len1, SizeType len2, Xbuf & xbuf, SizeType &l_intbuf_inout)
- {
- typedef SizeType size_type;
- size_type l_block = rl_block;
- size_type l_intbuf = xbuf.capacity() >= l_block ? 0u : l_block;
- if (xbuf.capacity() > l_block){
- l_block = xbuf.capacity();
- }
- //This is the minimum number of keys to implement the ideal algorithm
- size_type n_keys = adaptive_merge_n_keys_without_external_keys(l_block, len1, len2, l_intbuf);
- BOOST_ASSERT(n_keys >= ((len1-l_intbuf-n_keys)/l_block + len2/l_block));
- if(xbuf.template supports_aligned_trailing<size_type>
- ( l_block
- , adaptive_merge_n_keys_with_external_keys(l_block, len1, len2, l_intbuf)))
- {
- n_keys = 0u;
- }
- l_intbuf_inout = l_intbuf;
- rl_block = l_block;
- return n_keys;
- }
- // Main explanation of the merge algorithm.
- //
- // csqrtlen = ceil(sqrt(len));
- //
- // * First, csqrtlen [to be used as buffer] + (len/csqrtlen - 1) [to be used as keys] => to_collect
- // unique elements are extracted from elements to be sorted and placed in the beginning of the range.
- //
- // * Step "combine_blocks": the leading (len1-to_collect) elements plus trailing len2 elements
- // are merged with a non-trivial ("smart") algorithm to form an ordered range trailing "len-to_collect" elements.
- //
- // Explanation of the "combine_blocks" step:
- //
- // * Trailing [first+to_collect, first+len1) elements are divided in groups of cqrtlen elements.
- // Remaining elements that can't form a group are grouped in front of those elements.
- // * Trailing [first+len1, first+len1+len2) elements are divided in groups of cqrtlen elements.
- // Remaining elements that can't form a group are grouped in the back of those elements.
- // * In parallel the following two steps are performed:
- // * Groups are selection-sorted by first or last element (depending whether they are going
- // to be merged to left or right) and keys are reordered accordingly as an imitation-buffer.
- // * Elements of each block pair are merged using the csqrtlen buffer taking into account
- // if they belong to the first half or second half (marked by the key).
- //
- // * In the final merge step leading "to_collect" elements are merged with rotations
- // with the rest of merged elements in the "combine_blocks" step.
- //
- // Corner cases:
- //
- // * If no "to_collect" elements can be extracted:
- //
- // * If more than a minimum number of elements is extracted
- // then reduces the number of elements used as buffer and keys in the
- // and "combine_blocks" steps. If "combine_blocks" has no enough keys due to this reduction
- // then uses a rotation based smart merge.
- //
- // * If the minimum number of keys can't be extracted, a rotation-based merge is performed.
- //
- // * If auxiliary memory is more or equal than min(len1, len2), a buffered merge is performed.
- //
- // * If the len1 or len2 are less than 2*csqrtlen then a rotation-based merge is performed.
- //
- // * If auxiliary memory is more than csqrtlen+n_keys*sizeof(std::size_t),
- // then no csqrtlen need to be extracted and "combine_blocks" will use integral
- // keys to combine blocks.
- template<class RandIt, class Compare, class XBuf>
- void adaptive_merge_impl
- ( RandIt first
- , typename iterator_traits<RandIt>::size_type len1
- , typename iterator_traits<RandIt>::size_type len2
- , Compare comp
- , XBuf & xbuf
- )
- {
- typedef typename iterator_traits<RandIt>::size_type size_type;
- if(xbuf.capacity() >= min_value<size_type>(len1, len2)){
- buffered_merge(first, first+len1, first+(len1+len2), comp, xbuf);
- }
- else{
- const size_type len = len1+len2;
- //Calculate ideal parameters and try to collect needed unique keys
- size_type l_block = size_type(ceil_sqrt(len));
- //One range is not big enough to extract keys and the internal buffer so a
- //rotation-based based merge will do just fine
- if(len1 <= l_block*2 || len2 <= l_block*2){
- merge_bufferless(first, first+len1, first+len1+len2, comp);
- return;
- }
- //Detail the number of keys and internal buffer. If xbuf has enough memory, no
- //internal buffer is needed so l_intbuf will remain 0.
- size_type l_intbuf = 0;
- size_type n_keys = adaptive_merge_n_keys_intbuf(l_block, len1, len2, xbuf, l_intbuf);
- size_type const to_collect = l_intbuf+n_keys;
- //Try to extract needed unique values from the first range
- size_type const collected = collect_unique(first, first+len1, to_collect, comp, xbuf);
- BOOST_MOVE_ADAPTIVE_SORT_PRINT_L1("\n A collect: ", len);
- //Not the minimum number of keys is not available on the first range, so fallback to rotations
- if(collected != to_collect && collected < 4){
- merge_bufferless(first, first+collected, first+len1, comp);
- merge_bufferless(first, first + len1, first + len1 + len2, comp);
- return;
- }
- //If not enough keys but more than minimum, adjust the internal buffer and key count
- bool use_internal_buf = collected == to_collect;
- if (!use_internal_buf){
- l_intbuf = 0u;
- n_keys = collected;
- l_block = lblock_for_combine(l_intbuf, n_keys, len, use_internal_buf);
- //If use_internal_buf is false, then then internal buffer will be zero and rotation-based combination will be used
- l_intbuf = use_internal_buf ? l_block : 0u;
- }
- bool const xbuf_used = collected == to_collect && xbuf.capacity() >= l_block;
- //Merge trailing elements using smart merges
- adaptive_merge_combine_blocks(first, len1, len2, collected, n_keys, l_block, use_internal_buf, xbuf_used, comp, xbuf);
- //Merge buffer and keys with the rest of the values
- adaptive_merge_final_merge (first, len1, len2, collected, l_intbuf, l_block, use_internal_buf, xbuf_used, comp, xbuf);
- }
- }
- } //namespace detail_adaptive {
- ///@endcond
- //! <b>Effects</b>: Merges two consecutive sorted ranges [first, middle) and [middle, last)
- //! into one sorted range [first, last) according to the given comparison function comp.
- //! The algorithm is stable (if there are equivalent elements in the original two ranges,
- //! the elements from the first range (preserving their original order) precede the elements
- //! from the second range (preserving their original order).
- //!
- //! <b>Requires</b>:
- //! - RandIt must meet the requirements of ValueSwappable and RandomAccessIterator.
- //! - The type of dereferenced RandIt must meet the requirements of MoveAssignable and MoveConstructible.
- //!
- //! <b>Parameters</b>:
- //! - first: the beginning of the first sorted range.
- //! - middle: the end of the first sorted range and the beginning of the second
- //! - last: the end of the second sorted range
- //! - comp: comparison function object which returns true if the first argument is is ordered before the second.
- //! - uninitialized, uninitialized_len: raw storage starting on "uninitialized", able to hold "uninitialized_len"
- //! elements of type iterator_traits<RandIt>::value_type. Maximum performance is achieved when uninitialized_len
- //! is min(std::distance(first, middle), std::distance(middle, last)).
- //!
- //! <b>Throws</b>: If comp throws or the move constructor, move assignment or swap of the type
- //! of dereferenced RandIt throws.
- //!
- //! <b>Complexity</b>: Always K x O(N) comparisons and move assignments/constructors/swaps.
- //! Constant factor for comparisons and data movement is minimized when uninitialized_len
- //! is min(std::distance(first, middle), std::distance(middle, last)).
- //! Pretty good enough performance is achieved when uninitialized_len is
- //! ceil(sqrt(std::distance(first, last)))*2.
- //!
- //! <b>Caution</b>: Experimental implementation, not production-ready.
- template<class RandIt, class Compare>
- void adaptive_merge( RandIt first, RandIt middle, RandIt last, Compare comp
- , typename iterator_traits<RandIt>::value_type* uninitialized = 0
- , typename iterator_traits<RandIt>::size_type uninitialized_len = 0)
- {
- typedef typename iterator_traits<RandIt>::size_type size_type;
- typedef typename iterator_traits<RandIt>::value_type value_type;
- if (first == middle || middle == last){
- return;
- }
- //Reduce ranges to merge if possible
- do {
- if (comp(*middle, *first)){
- break;
- }
- ++first;
- if (first == middle)
- return;
- } while(1);
- RandIt first_high(middle);
- --first_high;
- do {
- --last;
- if (comp(*last, *first_high)){
- ++last;
- break;
- }
- if (last == middle)
- return;
- } while(1);
- ::boost::movelib::adaptive_xbuf<value_type, value_type*, size_type> xbuf(uninitialized, size_type(uninitialized_len));
- ::boost::movelib::detail_adaptive::adaptive_merge_impl(first, size_type(middle - first), size_type(last - middle), comp, xbuf);
- }
- } //namespace movelib {
- } //namespace boost {
- #include <boost/move/detail/config_end.hpp>
- #endif //#define BOOST_MOVE_ADAPTIVE_MERGE_HPP
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