２年ほど前に作成したマージ・ソートの分割処理及び併合処理を並列化したソート・プログラムをご紹介します。
キモは、ＣＰＵコアをフル稼働させるため連の組を分割し並列併合処理している点とその連の組の分割を効率よく行うためにバイナリサーチ・アルゴリズムを応用している点ですが、自作ＰＣ（Xeon 14コアx2=28コア56スレッド）でのランダムな1000万～5000万個の整数ソート性能はＣＰＵコア数倍にまで達し理想的な結果であり、最初から最後まで完全に並列処理することによりＣＰＵコアをフル稼働できていることによる結果と言えます。
基本ソートとして安定だけど遅い挿入ソートを利用していますが、後日、JavaのArrays.parallelSort()と比較してみたところほぼ同性能でした。が、JavaのArrays.sort()はシングルスレッドでもかなり早い．．．こんだけＣＰＵ使ってと考えるとなんとなく萎えます。(笑)
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/* * Copyright (c) 2017 Sasapea * * /2017/02/07/parallesort/ * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ import java.util.Arrays; import java.util.concurrent.ForkJoinPool; import java.util.concurrent.ForkJoinTask; import java.util.concurrent.RecursiveAction; public class ParallelMergeSort { private static final int SIMPLE_SORT_THRESHOLD = 50; private static final int SEQUENTIAL_SORT_THRESHOLD = 50000; private ParallelMergeSort() { } public static void sort(int[] a) { sort(a, Runtime.getRuntime().availableProcessors()); } public static void sort(final int[] a, final int threads) { new ForkJoinPool(threads).invoke(new RecursiveAction() { protected void compute() { psort(Arrays.copyOf(a, a.length), a, 0, a.length, threads); } }); } private static void ssort(int[] src, int[] dest, int low, int high) { if (high - low < SIMPLE_SORT_THRESHOLD) { // // insertion sort // for (int i = low + 1; i < high; i++) { for (int j = i; (j > low) && (dest[j - 1] > dest[j]); j--) { int x = dest[j]; dest[j] = dest[j - 1]; dest[j - 1] = x; } } } else { // // merge sort // int mid = (low + high) >> 1; ssort(dest, src, low, mid); ssort(dest, src, mid, high); mergeL(src, low, mid, mid, high, dest, low, high - low); } } private static void psort(final int[] src, final int[] dest, final int low, final int high, final int threads) { if ((threads < 2) || (high - low < SEQUENTIAL_SORT_THRESHOLD)) { // // sequential sort // ssort(src, dest, low, high); } else { // // parallel sort // final int th2 = threads >> 1; final int mid = (high - low) * th2 / threads + low; ForkJoinTask<?> ft = new RecursiveAction() { protected void compute() { psort(dest, src, low, mid, th2); } }.fork(); psort(dest, src, mid, high, threads - th2); ft.join(); // // parallel merge // pmerge(src, low, mid, mid, high, dest, low, threads); } } private static void pmerge(final int[] src, final int low0, final int high0, final int low1, final int high1, final int[] dest, final int low, final int threads) { final int ln0 = high0 - low0; final int ln1 = high1 - low1; if (threads > 2) { final int th2 = threads >> 1; final int[] mid = split(src, low0, high0, low1, high1, new int[] {ln0 * th2 / threads + low0, ln1 * th2 / threads + low1}); ForkJoinTask<?> ft = new RecursiveAction() { protected void compute() { pmerge(src, low0, mid[0], low1, mid[1], dest, low, th2); } }.fork(); pmerge(src, mid[0], high0, mid[1], high1, dest, low + (mid[0] - low0) + (mid[1] - low1), threads - th2); ft.join(); } else if (threads == 2) { final int len = ln0 + ln1; final int ln2 = len >> 1; ForkJoinTask<?> ft = new RecursiveAction() { protected void compute() { mergeH(src, low0, high0 - 1, low1, high1 - 1, dest, low + len - 1, ln2 - 1); } }.fork(); mergeL(src, low0, high0, low1, high1, dest, low, len - ln2); ft.join(); } else { mergeL(src, low0, high0, low1, high1, dest, low, ln0 + ln1); } } private static int[] split(int[] src, int low0, int high0, int low1, int high1, int[] mid) { int m0 = mid[0]; int m1 = mid[1]; int l = Math.max(low0 - m0, m1 - high1); int h = Math.min(m1 - low1, high0 - m0); while (l <= h) { int m = (l + h) >> 1; if ((m0 + m >= high0) || (m1 - m >= high1)) break; if (src[m0 + m] <= src[m1 - m]) l = m + 1; else h = m - 1; } m0 += l; m1 -= l; if (m1 < high1) { while ((--m0 >= low0) && (src[m0] > src[m1])) ; ++m0; } if (m0 < high0) { while ((++m1 < high1) && (src[m0] > src[m1])) ; --m1; } mid[0] = m0; mid[1] = m1; return mid; } private static void mergeL(int[] src, int low0, int high0, int low1, int high1, int[] dest, int low, int len) { if ((low1 >= high1) || ((low0 < high0) && (src[high0 - 1] <= src[low1]))) { int ln2 = Math.min(len, high0 - low0); System.arraycopy(src, low0, dest, low, ln2); if (ln2 < len) System.arraycopy(src, low1, dest, low + ln2, len - ln2); } else if ((low0 >= high0) || ((low1 < high1) && (src[high1 - 1] < src[low0]))) { int ln2 = Math.min(len, high1 - low1); System.arraycopy(src, low1, dest, low, ln2); if (ln2 < len) System.arraycopy(src, low0, dest, low + ln2, len - ln2); } else { for (; len > 0; --len) { if (low0 >= high0) { System.arraycopy(src, low1, dest, low, len); break; } else if (low1 >= high1) { System.arraycopy(src, low0, dest, low, len); break; } else { dest[low++] = src[low0] <= src[low1] ? src[low0++] : src[low1++]; } } } } private static void mergeH(int[] src, int low0, int high0, int low1, int high1, int[] dest, int low, int len) { /*************************** * 下記引数は、－１してから呼び出すこと。* *************************** * int high0 * int high1 * int low * int len */ if ((low1 > high1) || ((low0 <= high0) && (src[high1] < src[low0]))) { int ln2 = Math.min(len, high0 - low0); System.arraycopy(src, high0 - ln2, dest, low - ln2, ln2 + 1); if (ln2 < len) System.arraycopy(src, high1 - (len - ln2), dest, low - len, len - ln2); } else if ((low0 > high0) || ((low1 <= high1) && (src[high0] <= src[low1]))) { int ln2 = Math.min(len, high1 - low1); System.arraycopy(src, high1 - ln2, dest, low - ln2, ln2 + 1); if (ln2 < len) System.arraycopy(src, high0 - (len - ln2), dest, low - len, len - ln2); } else { for (; len >= 0; --len) { if (low0 > high0) { System.arraycopy(src, high1 - len, dest, low - len, len + 1); break; } else if (low1 > high1) { System.arraycopy(src, high0 - len, dest, low - len, len + 1); break; } else { dest[low--] = src[high0] > src[high1] ? src[high0--] : src[high1--]; } } } } } |