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+//---------------------------------------------------------------------------//
+// Copyright (c) 2015 Jakub Szuppe <j.szuppe@gmail.com>
+//
+// 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://boostorg.github.com/compute for more information.
+//---------------------------------------------------------------------------//
+
+#ifndef BOOST_COMPUTE_ALGORITHM_DETAIL_MERGE_SORT_ON_CPU_HPP
+#define BOOST_COMPUTE_ALGORITHM_DETAIL_MERGE_SORT_ON_CPU_HPP
+
+#include <boost/compute/kernel.hpp>
+#include <boost/compute/program.hpp>
+#include <boost/compute/command_queue.hpp>
+#include <boost/compute/algorithm/detail/merge_with_merge_path.hpp>
+#include <boost/compute/container/vector.hpp>
+#include <boost/compute/detail/meta_kernel.hpp>
+#include <boost/compute/detail/iterator_range_size.hpp>
+
+namespace boost {
+namespace compute {
+namespace detail {
+
+template<class KeyIterator, class ValueIterator, class Compare>
+inline void merge_blocks(KeyIterator keys_first,
+ ValueIterator values_first,
+ KeyIterator keys_result,
+ ValueIterator values_result,
+ Compare compare,
+ size_t count,
+ const size_t block_size,
+ const bool sort_by_key,
+ command_queue &queue)
+{
+ (void) values_result;
+ (void) values_first;
+
+ meta_kernel k("merge_sort_on_cpu_merge_blocks");
+ size_t count_arg = k.add_arg<const uint_>("count");
+ size_t block_size_arg = k.add_arg<uint_>("block_size");
+
+ k <<
+ k.decl<uint_>("b1_start") << " = get_global_id(0) * block_size * 2;\n" <<
+ k.decl<uint_>("b1_end") << " = min(count, b1_start + block_size);\n" <<
+ k.decl<uint_>("b2_start") << " = min(count, b1_start + block_size);\n" <<
+ k.decl<uint_>("b2_end") << " = min(count, b2_start + block_size);\n" <<
+ k.decl<uint_>("result_idx") << " = b1_start;\n" <<
+
+ // merging block 1 and block 2 (stable)
+ "while(b1_start < b1_end && b2_start < b2_end){\n" <<
+ " if( " << compare(keys_first[k.var<uint_>("b2_start")],
+ keys_first[k.var<uint_>("b1_start")]) << "){\n" <<
+ " " << keys_result[k.var<uint_>("result_idx")] << " = " <<
+ keys_first[k.var<uint_>("b2_start")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << values_result[k.var<uint_>("result_idx")] << " = " <<
+ values_first[k.var<uint_>("b2_start")] << ";\n";
+ }
+ k <<
+ " b2_start++;\n" <<
+ " }\n" <<
+ " else {\n" <<
+ " " << keys_result[k.var<uint_>("result_idx")] << " = " <<
+ keys_first[k.var<uint_>("b1_start")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << values_result[k.var<uint_>("result_idx")] << " = " <<
+ values_first[k.var<uint_>("b1_start")] << ";\n";
+ }
+ k <<
+ " b1_start++;\n" <<
+ " }\n" <<
+ " result_idx++;\n" <<
+ "}\n" <<
+ "while(b1_start < b1_end){\n" <<
+ " " << keys_result[k.var<uint_>("result_idx")] << " = " <<
+ keys_first[k.var<uint_>("b1_start")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << values_result[k.var<uint_>("result_idx")] << " = " <<
+ values_first[k.var<uint_>("b1_start")] << ";\n";
+ }
+ k <<
+ " b1_start++;\n" <<
+ " result_idx++;\n" <<
+ "}\n" <<
+ "while(b2_start < b2_end){\n" <<
+ " " << keys_result[k.var<uint_>("result_idx")] << " = " <<
+ keys_first[k.var<uint_>("b2_start")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << values_result[k.var<uint_>("result_idx")] << " = " <<
+ values_first[k.var<uint_>("b2_start")] << ";\n";
+ }
+ k <<
+ " b2_start++;\n" <<
+ " result_idx++;\n" <<
+ "}\n";
+
+ const context &context = queue.get_context();
+ ::boost::compute::kernel kernel = k.compile(context);
+ kernel.set_arg(count_arg, static_cast<const uint_>(count));
+ kernel.set_arg(block_size_arg, static_cast<uint_>(block_size));
+
+ const size_t global_size = static_cast<size_t>(
+ std::ceil(float(count) / (2 * block_size))
+ );
+ queue.enqueue_1d_range_kernel(kernel, 0, global_size, 0);
+}
+
+template<class Iterator, class Compare>
+inline void merge_blocks(Iterator first,
+ Iterator result,
+ Compare compare,
+ size_t count,
+ const size_t block_size,
+ const bool sort_by_key,
+ command_queue &queue)
+{
+ // dummy iterator as it's not sort by key
+ Iterator dummy;
+ merge_blocks(first, dummy, result, dummy, compare, count, block_size, false, queue);
+}
+
+template<class Iterator, class Compare>
+inline void dispatch_merge_blocks(Iterator first,
+ Iterator result,
+ Compare compare,
+ size_t count,
+ const size_t block_size,
+ const size_t input_size_threshold,
+ const size_t blocks_no_threshold,
+ command_queue &queue)
+{
+ const size_t blocks_no = static_cast<size_t>(
+ std::ceil(float(count) / block_size)
+ );
+ // merge with merge path should used only for the large arrays and at the
+ // end of merging part when there are only a few big blocks left to be merged
+ if(blocks_no <= blocks_no_threshold && count >= input_size_threshold){
+ Iterator last = first + count;
+ for(size_t i = 0; i < count; i+= 2*block_size)
+ {
+ Iterator first1 = (std::min)(first + i, last);
+ Iterator last1 = (std::min)(first1 + block_size, last);
+ Iterator first2 = last1;
+ Iterator last2 = (std::min)(first2 + block_size, last);
+ Iterator block_result = (std::min)(result + i, result + count);
+ merge_with_merge_path(first1, last1, first2, last2,
+ block_result, compare, queue);
+ }
+ }
+ else {
+ merge_blocks(first, result, compare, count, block_size, false, queue);
+ }
+}
+
+template<class KeyIterator, class ValueIterator, class Compare>
+inline void block_insertion_sort(KeyIterator keys_first,
+ ValueIterator values_first,
+ Compare compare,
+ const size_t count,
+ const size_t block_size,
+ const bool sort_by_key,
+ command_queue &queue)
+{
+ (void) values_first;
+
+ typedef typename std::iterator_traits<KeyIterator>::value_type K;
+ typedef typename std::iterator_traits<ValueIterator>::value_type T;
+
+ meta_kernel k("merge_sort_on_cpu_block_insertion_sort");
+ size_t count_arg = k.add_arg<uint_>("count");
+ size_t block_size_arg = k.add_arg<uint_>("block_size");
+
+ k <<
+ k.decl<uint_>("start") << " = get_global_id(0) * block_size;\n" <<
+ k.decl<uint_>("end") << " = min(count, start + block_size);\n" <<
+
+ // block insertion sort (stable)
+ "for(uint i = start+1; i < end; i++){\n" <<
+ " " << k.decl<const K>("key") << " = " <<
+ keys_first[k.var<uint_>("i")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << k.decl<const T>("value") << " = " <<
+ values_first[k.var<uint_>("i")] << ";\n";
+ }
+ k <<
+ " uint pos = i;\n" <<
+ " while(pos > start && " <<
+ compare(k.var<const K>("key"),
+ keys_first[k.var<uint_>("pos-1")]) << "){\n" <<
+ " " << keys_first[k.var<uint_>("pos")] << " = " <<
+ keys_first[k.var<uint_>("pos-1")] << ";\n";
+ if(sort_by_key){
+ k <<
+ " " << values_first[k.var<uint_>("pos")] << " = " <<
+ values_first[k.var<uint_>("pos-1")] << ";\n";
+ }
+ k <<
+ " pos--;\n" <<
+ " }\n" <<
+ " " << keys_first[k.var<uint_>("pos")] << " = key;\n";
+ if(sort_by_key) {
+ k <<
+ " " << values_first[k.var<uint_>("pos")] << " = value;\n";
+ }
+ k <<
+ "}\n"; // block insertion sort
+
+ const context &context = queue.get_context();
+ ::boost::compute::kernel kernel = k.compile(context);
+ kernel.set_arg(count_arg, static_cast<uint_>(count));
+ kernel.set_arg(block_size_arg, static_cast<uint_>(block_size));
+
+ const size_t global_size = static_cast<size_t>(std::ceil(float(count) / block_size));
+ queue.enqueue_1d_range_kernel(kernel, 0, global_size, 0);
+}
+
+template<class Iterator, class Compare>
+inline void block_insertion_sort(Iterator first,
+ Compare compare,
+ const size_t count,
+ const size_t block_size,
+ command_queue &queue)
+{
+ // dummy iterator as it's not sort by key
+ Iterator dummy;
+ block_insertion_sort(first, dummy, compare, count, block_size, false, queue);
+}
+
+// This sort is stable.
+template<class Iterator, class Compare>
+inline void merge_sort_on_cpu(Iterator first,
+ Iterator last,
+ Compare compare,
+ command_queue &queue)
+{
+ typedef typename std::iterator_traits<Iterator>::value_type value_type;
+
+ size_t count = iterator_range_size(first, last);
+ if(count < 2){
+ return;
+ }
+ // for small input size only insertion sort is performed
+ else if(count <= 512){
+ block_insertion_sort(first, compare, count, count, queue);
+ return;
+ }
+
+ const context &context = queue.get_context();
+ const device &device = queue.get_device();
+
+ // loading parameters
+ std::string cache_key =
+ std::string("__boost_merge_sort_on_cpu_") + type_name<value_type>();
+ boost::shared_ptr<parameter_cache> parameters =
+ detail::parameter_cache::get_global_cache(device);
+
+ // When there is merge_with_path_blocks_no_threshold or less blocks left to
+ // merge AND input size is merge_with_merge_path_input_size_threshold or more
+ // merge_with_merge_path() algorithm is used to merge sorted blocks;
+ // otherwise merge_blocks() is used.
+ const size_t merge_with_path_blocks_no_threshold =
+ parameters->get(cache_key, "merge_with_merge_path_blocks_no_threshold", 8);
+ const size_t merge_with_path_input_size_threshold =
+ parameters->get(cache_key, "merge_with_merge_path_input_size_threshold", 2097152);
+
+ const size_t block_size =
+ parameters->get(cache_key, "insertion_sort_block_size", 64);
+ block_insertion_sort(first, compare, count, block_size, queue);
+
+ // temporary buffer for merge result
+ vector<value_type> temp(count, context);
+ bool result_in_temporary_buffer = false;
+
+ for(size_t i = block_size; i < count; i *= 2){
+ result_in_temporary_buffer = !result_in_temporary_buffer;
+ if(result_in_temporary_buffer) {
+ dispatch_merge_blocks(first, temp.begin(), compare, count, i,
+ merge_with_path_input_size_threshold,
+ merge_with_path_blocks_no_threshold,
+ queue);
+ } else {
+ dispatch_merge_blocks(temp.begin(), first, compare, count, i,
+ merge_with_path_input_size_threshold,
+ merge_with_path_blocks_no_threshold,
+ queue);
+ }
+ }
+
+ if(result_in_temporary_buffer) {
+ copy(temp.begin(), temp.end(), first, queue);
+ }
+}
+
+// This sort is stable.
+template<class KeyIterator, class ValueIterator, class Compare>
+inline void merge_sort_by_key_on_cpu(KeyIterator keys_first,
+ KeyIterator keys_last,
+ ValueIterator values_first,
+ Compare compare,
+ command_queue &queue)
+{
+ typedef typename std::iterator_traits<KeyIterator>::value_type key_type;
+ typedef typename std::iterator_traits<ValueIterator>::value_type value_type;
+
+ size_t count = iterator_range_size(keys_first, keys_last);
+ if(count < 2){
+ return;
+ }
+ // for small input size only insertion sort is performed
+ else if(count <= 512){
+ block_insertion_sort(keys_first, values_first, compare,
+ count, count, true, queue);
+ return;
+ }
+
+ const context &context = queue.get_context();
+ const device &device = queue.get_device();
+
+ // loading parameters
+ std::string cache_key =
+ std::string("__boost_merge_sort_by_key_on_cpu_") + type_name<value_type>()
+ + "_with_" + type_name<key_type>();
+ boost::shared_ptr<parameter_cache> parameters =
+ detail::parameter_cache::get_global_cache(device);
+
+ const size_t block_size =
+ parameters->get(cache_key, "insertion_sort_by_key_block_size", 64);
+ block_insertion_sort(keys_first, values_first, compare,
+ count, block_size, true, queue);
+
+ // temporary buffer for merge results
+ vector<value_type> values_temp(count, context);
+ vector<key_type> keys_temp(count, context);
+ bool result_in_temporary_buffer = false;
+
+ for(size_t i = block_size; i < count; i *= 2){
+ result_in_temporary_buffer = !result_in_temporary_buffer;
+ if(result_in_temporary_buffer) {
+ merge_blocks(keys_first, values_first,
+ keys_temp.begin(), values_temp.begin(),
+ compare, count, i, true, queue);
+ } else {
+ merge_blocks(keys_temp.begin(), values_temp.begin(),
+ keys_first, values_first,
+ compare, count, i, true, queue);
+ }
+ }
+
+ if(result_in_temporary_buffer) {
+ copy(keys_temp.begin(), keys_temp.end(), keys_first, queue);
+ copy(values_temp.begin(), values_temp.end(), values_first, queue);
+ }
+}
+
+} // end detail namespace
+} // end compute namespace
+} // end boost namespace
+
+#endif // BOOST_COMPUTE_ALGORITHM_DETAIL_MERGE_SORT_ON_CPU_HPP