mirror of https://github.com/apache/lucene.git
Use multi-select instead of sort for Dynamic Ranges
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d197f012ef
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@ -0,0 +1,407 @@
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/*
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* Licensed to the Apache Software Foundation (ASF) under one or more
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* contributor license agreements. See the NOTICE file distributed with
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* this work for additional information regarding copyright ownership.
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* The ASF licenses this file to You under the Apache License, Version 2.0
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* (the "License"); you may not use this file except in compliance with
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* the License. You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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package org.apache.lucene.util;
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import java.util.Arrays;
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import java.util.Comparator;
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import java.util.SplittableRandom;
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/**
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* Adaptive selection algorithm based on the introspective quick select algorithm. The quick select
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* algorithm uses an interpolation variant of Tukey's ninther median-of-medians for pivot, and
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* Bentley-McIlroy 3-way partitioning. For the introspective protection, it shuffles the sub-range
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* if the max recursive depth is exceeded.
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*
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* <p>This selection algorithm is fast on most data shapes, especially on nearly sorted data, or
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* when k is close to the boundaries. It runs in linear time on average.
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*
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* @lucene.internal
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*/
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public abstract class WeightedSelector {
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// This selector is used repeatedly by the radix selector for sub-ranges of less than
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// 100 entries. This means this selector is also optimized to be fast on small ranges.
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// It uses the variant of medians-of-medians and 3-way partitioning, and finishes the
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// last tiny range (3 entries or less) with a very specialized sort.
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private SplittableRandom random;
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protected abstract long getWeight(int i);
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protected abstract long getValue(int i);
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public final WeightRangeInfo[] select(
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int from,
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int to,
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long rangeTotalValue,
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long beforeTotalValue,
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long rangeWeight,
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long beforeWeight,
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double[] kWeights) {
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WeightRangeInfo[] kIndexResults = new WeightRangeInfo[kWeights.length];
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Arrays.fill(kIndexResults, new WeightRangeInfo(-1, 0, 0));
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checkArgs(rangeWeight, beforeWeight, kWeights);
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select(
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from,
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to,
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rangeTotalValue,
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beforeTotalValue,
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rangeWeight,
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beforeWeight,
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kWeights,
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0,
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kWeights.length,
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kIndexResults,
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2 * MathUtil.log(to - from, 2));
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return kIndexResults;
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}
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void checkArgs(long rangeWeight, long beforeWeight, double[] kWeights) {
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if (kWeights.length < 1) {
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throw new IllegalArgumentException("There must be at least one k to select, none given");
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}
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Arrays.sort(kWeights);
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if (kWeights[0] < beforeWeight) {
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throw new IllegalArgumentException("All kWeights must be >= beforeWeight");
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}
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if (kWeights[kWeights.length - 1] > beforeWeight + rangeWeight) {
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throw new IllegalArgumentException("All kWeights must be < beforeWeight + rangeWeight");
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}
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}
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// Visible for testing.
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void select(
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int from,
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int to,
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long rangeTotalValue,
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long beforeTotalValue,
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long rangeWeight,
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long beforeWeight,
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double[] kWeights,
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int kFrom,
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int kTo,
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WeightRangeInfo[] kIndexResults,
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int maxDepth) {
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// This code is inspired from IntroSorter#sort, adapted to loop on a single partition.
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// For efficiency, we must enter the loop with at least 4 entries to be able to skip
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// some boundary tests during the 3-way partitioning.
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int size;
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if ((size = to - from) > 3) {
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if (--maxDepth == -1) {
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// Max recursion depth exceeded: shuffle (only once) and continue.
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shuffle(from, to);
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}
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// Pivot selection based on medians.
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int last = to - 1;
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int mid = (from + last) >>> 1;
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int pivot;
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if (size <= IntroSorter.SINGLE_MEDIAN_THRESHOLD) {
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// Select the pivot with a single median around the middle element.
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// Do not take the median between [from, mid, last] because it hurts performance
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// if the order is descending in conjunction with the 3-way partitioning.
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int range = size >> 2;
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pivot = median(mid - range, mid, mid + range);
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} else {
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// Select the pivot with a variant of the Tukey's ninther median of medians.
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// If k is close to the boundaries, select either the lowest or highest median (this variant
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// is inspired from the interpolation search).
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int range = size >> 3;
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int doubleRange = range << 1;
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int medianFirst = median(from, from + range, from + doubleRange);
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int medianMiddle = median(mid - range, mid, mid + range);
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int medianLast = median(last - doubleRange, last - range, last);
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double avgWeight = ((double) rangeWeight) / (to - from);
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double middleWeight = kWeights[(kFrom + kTo - 1) >> 1];
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// Approximate the k we are trying to find by assuming an equal weight amongst values
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int middleK = from + (int) ((middleWeight - beforeWeight) / avgWeight);
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if (middleK - from < range) {
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// k is close to 'from': select the lowest median.
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pivot = min(medianFirst, medianMiddle, medianLast);
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} else if (to - middleK <= range) {
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// k is close to 'to': select the highest median.
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pivot = max(medianFirst, medianMiddle, medianLast);
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} else {
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// Otherwise select the median of medians.
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pivot = median(medianFirst, medianMiddle, medianLast);
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}
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}
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// Bentley-McIlroy 3-way partitioning.
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setPivot(pivot);
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swap(from, pivot);
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int i = from;
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int j = to;
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int p = from + 1;
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int q = last;
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long leftTotalValue = 0;
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long leftWeight = 0;
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long rightTotalValue = 0;
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long rightWeight = 0;
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while (true) {
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int leftCmp, rightCmp;
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while ((leftCmp = comparePivot(++i)) > 0) {
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leftTotalValue += getValue(i);
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leftWeight += getWeight(i);
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}
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while ((rightCmp = comparePivot(--j)) < 0) {
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rightTotalValue += getValue(j);
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rightWeight += getWeight(j);
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}
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if (i >= j) {
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if (i == j && rightCmp == 0) {
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swap(i, p);
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}
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break;
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}
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swap(i, j);
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if (rightCmp == 0) {
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swap(i, p++);
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} else {
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leftTotalValue += getValue(i);
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leftWeight += getWeight(i);
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}
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if (leftCmp == 0) {
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swap(j, q--);
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} else {
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rightTotalValue += getValue(j);
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rightWeight += getWeight(j);
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}
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}
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i = j + 1;
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for (int l = from; l < p; ) {
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swap(l++, j--);
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}
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for (int l = last; l > q; ) {
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swap(l--, i++);
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}
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long leftWeightEnd = beforeWeight + leftWeight;
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long rightWeightStart = beforeWeight + rangeWeight - rightWeight;
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// Select the K weight values contained in the bottom and top partitions.
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int topKFrom = kTo;
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int bottomKTo = kFrom;
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for (int ki = kTo - 1; ki >= kFrom; ki--) {
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if (kWeights[ki] >= rightWeightStart) {
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topKFrom = ki;
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}
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if (kWeights[ki] <= leftWeightEnd) {
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bottomKTo = ki + 1;
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break;
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}
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}
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// Recursively select the relevant k-values from the bottom group, if there are any k-values
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// to select there
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if (bottomKTo > kFrom) {
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select(
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from,
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j + 1,
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leftTotalValue,
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beforeTotalValue,
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leftWeight,
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beforeWeight,
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kWeights,
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kFrom,
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bottomKTo,
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kIndexResults,
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maxDepth);
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}
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// Recursively select the relevant k-values from the top group, if there are any k-values to
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// select there
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if (topKFrom < kTo) {
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select(
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i,
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to,
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rightTotalValue,
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beforeTotalValue + rangeTotalValue - rightTotalValue,
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rightWeight,
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beforeWeight + rangeWeight - rightWeight,
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kWeights,
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topKFrom,
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kTo,
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kIndexResults,
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maxDepth);
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}
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// Choose the k result indexes for this partition
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if (bottomKTo < topKFrom) {
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findKIndexes(
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j + 1,
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i,
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beforeTotalValue + leftTotalValue,
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beforeWeight + leftWeight,
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bottomKTo,
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topKFrom,
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kWeights,
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kIndexResults);
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}
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}
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// Sort the final tiny range (3 entries or less) with a very specialized sort.
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switch (size) {
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case 1:
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kIndexResults[kTo - 1] =
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new WeightRangeInfo(
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from, beforeTotalValue + getValue(from), beforeWeight + getWeight(from));
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break;
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case 2:
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if (compare(from, from + 1) > 0) {
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swap(from, from + 1);
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}
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findKIndexes(
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from, from + 2, beforeTotalValue, beforeWeight, kFrom, kTo, kWeights, kIndexResults);
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break;
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case 3:
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sort3(from);
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findKIndexes(
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from, from + 3, beforeTotalValue, beforeWeight, kFrom, kTo, kWeights, kIndexResults);
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break;
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}
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}
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private void findKIndexes(
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int from,
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int to,
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long beforeTotalValue,
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long beforeWeight,
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int kFrom,
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int kTo,
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double[] kWeights,
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WeightRangeInfo[] kIndexResults) {
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long runningWeight = beforeWeight;
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long runningTotalValue = beforeTotalValue;
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int kIdx = kFrom;
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for (int listIdx = from; listIdx < to && kIdx < kTo; listIdx++) {
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runningWeight += getWeight(listIdx);
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runningTotalValue += getValue(listIdx);
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// Skip ahead in the weight list if the same value is used for multiple weights, we will only
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// record a result index for the last weight that matches it.
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while (++kIdx < kTo && kWeights[kIdx] <= runningWeight) {}
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if (kWeights[--kIdx] <= runningWeight) {
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kIndexResults[kIdx] = new WeightRangeInfo(listIdx, runningTotalValue, runningWeight);
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// Now that we have recorded the resultIndex for this weight, go to the next weight
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kIdx++;
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}
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}
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}
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/** Returns the index of the min element among three elements at provided indices. */
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private int min(int i, int j, int k) {
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if (compare(i, j) <= 0) {
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return compare(i, k) <= 0 ? i : k;
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}
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return compare(j, k) <= 0 ? j : k;
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}
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/** Returns the index of the max element among three elements at provided indices. */
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private int max(int i, int j, int k) {
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if (compare(i, j) <= 0) {
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return compare(j, k) < 0 ? k : j;
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}
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return compare(i, k) < 0 ? k : i;
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}
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/** Copy of {@code IntroSorter#median}. */
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private int median(int i, int j, int k) {
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if (compare(i, j) < 0) {
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if (compare(j, k) <= 0) {
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return j;
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}
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return compare(i, k) < 0 ? k : i;
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}
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if (compare(j, k) >= 0) {
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return j;
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}
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return compare(i, k) < 0 ? i : k;
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}
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/**
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* Sorts 3 entries starting at from (inclusive). This specialized method is more efficient than
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* calling {@link Sorter#insertionSort(int, int)}.
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*/
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private void sort3(int from) {
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final int mid = from + 1;
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final int last = from + 2;
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if (compare(from, mid) <= 0) {
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if (compare(mid, last) > 0) {
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swap(mid, last);
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if (compare(from, mid) > 0) {
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swap(from, mid);
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}
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}
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} else if (compare(mid, last) >= 0) {
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swap(from, last);
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} else {
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swap(from, mid);
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if (compare(mid, last) > 0) {
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swap(mid, last);
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}
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}
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}
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/**
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* Shuffles the entries between from (inclusive) and to (exclusive) with Durstenfeld's algorithm.
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*/
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private void shuffle(int from, int to) {
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if (this.random == null) {
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this.random = new SplittableRandom();
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}
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SplittableRandom random = this.random;
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for (int i = to - 1; i > from; i--) {
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swap(i, random.nextInt(from, i + 1));
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}
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}
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/** Swap values at slots <code>i</code> and <code>j</code>. */
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protected abstract void swap(int i, int j);
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/**
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* Save the value at slot <code>i</code> so that it can later be used as a pivot, see {@link
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* #comparePivot(int)}.
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*/
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protected abstract void setPivot(int i);
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/**
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* Compare the pivot with the slot at <code>j</code>, similarly to {@link #compare(int, int)
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* compare(i, j)}.
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*/
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protected abstract int comparePivot(int j);
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/**
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* Compare entries found in slots <code>i</code> and <code>j</code>. The contract for the returned
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* value is the same as {@link Comparator#compare(Object, Object)}.
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*/
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protected int compare(int i, int j) {
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setPivot(i);
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return comparePivot(j);
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}
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/**
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* Holds information for a returned weight index result
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*
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* @param index the index at which the weight range limit was found
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* @param runningValueSum the sum of values from the start of the list to the end of the range
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* limit
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* @param runningWeight the sum of weights from the start of the list to the end of the range
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* limit
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*/
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public record WeightRangeInfo(int index, long runningValueSum, long runningWeight) {}
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}
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@ -28,7 +28,7 @@ import org.apache.lucene.search.DocIdSetIterator;
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import org.apache.lucene.search.LongValues;
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import org.apache.lucene.search.LongValuesSource;
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import org.apache.lucene.util.IOUtils;
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import org.apache.lucene.util.InPlaceMergeSorter;
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import org.apache.lucene.util.WeightedSelector;
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/**
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* Methods to create dynamic ranges for numeric fields.
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@ -66,6 +66,7 @@ public final class DynamicRangeUtil {
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matchingDocsList.stream().mapToInt(FacetsCollector.MatchingDocs::totalHits).sum();
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long[] values = new long[totalDoc];
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long[] weights = new long[totalDoc];
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long totalValue = 0;
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long totalWeight = 0;
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int overallLength = 0;
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|
@ -107,6 +108,7 @@ public final class DynamicRangeUtil {
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assert curSegmentOutput.values.length == curSegmentOutput.weights.length;
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try {
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totalValue = Math.addExact(curSegmentOutput.segmentTotalValue, totalValue);
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totalWeight = Math.addExact(curSegmentOutput.segmentTotalWeight, totalWeight);
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} catch (ArithmeticException ae) {
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throw new IllegalArgumentException(
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@ -118,7 +120,8 @@ public final class DynamicRangeUtil {
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System.arraycopy(curSegmentOutput.weights, 0, weights, overallLength, currSegmentLen);
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overallLength += currSegmentLen;
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}
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return computeDynamicNumericRanges(values, weights, overallLength, totalWeight, topN);
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return computeDynamicNumericRanges(
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values, weights, overallLength, totalValue, totalWeight, topN);
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}
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private static class SegmentTask implements Callable<Void> {
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@ -165,6 +168,8 @@ public final class DynamicRangeUtil {
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segmentOutput.values[segmentOutput.segmentIdx] = curValue;
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segmentOutput.weights[segmentOutput.segmentIdx] = curWeight;
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try {
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segmentOutput.segmentTotalValue =
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Math.addExact(segmentOutput.segmentTotalValue, curValue);
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segmentOutput.segmentTotalWeight =
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Math.addExact(segmentOutput.segmentTotalWeight, curWeight);
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} catch (ArithmeticException ae) {
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|
@ -180,6 +185,7 @@ public final class DynamicRangeUtil {
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private static final class SegmentOutput {
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private final long[] values;
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private final long[] weights;
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private long segmentTotalValue;
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private long segmentTotalWeight;
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private int segmentIdx;
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|
@ -202,7 +208,7 @@ public final class DynamicRangeUtil {
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* is used to compute the equi-weight per bin.
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*/
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public static List<DynamicRangeInfo> computeDynamicNumericRanges(
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long[] values, long[] weights, int len, long totalWeight, int topN) {
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long[] values, long[] weights, int len, long totalValue, long totalWeight, int topN) {
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assert values.length == weights.length && len <= values.length && len >= 0;
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assert topN >= 0;
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List<DynamicRangeInfo> dynamicRangeResult = new ArrayList<>();
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|
@ -210,16 +216,25 @@ public final class DynamicRangeUtil {
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return dynamicRangeResult;
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}
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new InPlaceMergeSorter() {
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@Override
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protected int compare(int index1, int index2) {
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int cmp = Long.compare(values[index1], values[index2]);
|
||||
if (cmp == 0) {
|
||||
// If the values are equal, sort based on the weights.
|
||||
// Any weight order is correct as long as it's deterministic.
|
||||
return Long.compare(weights[index1], weights[index2]);
|
||||
double rangeWeightTarget = (double) totalWeight / topN;
|
||||
double[] kWeights = new double[topN];
|
||||
for (int i = 0; i < topN; i++) {
|
||||
kWeights[i] = (i == 0 ? 0 : kWeights[i - 1]) + rangeWeightTarget;
|
||||
}
|
||||
return cmp;
|
||||
|
||||
WeightedSelector.WeightRangeInfo[] kIndexResults =
|
||||
new WeightedSelector() {
|
||||
private long pivotValue;
|
||||
private long pivotWeight;
|
||||
|
||||
@Override
|
||||
protected long getWeight(int i) {
|
||||
return weights[i];
|
||||
}
|
||||
|
||||
@Override
|
||||
protected long getValue(int i) {
|
||||
return values[i];
|
||||
}
|
||||
|
||||
@Override
|
||||
|
@ -231,37 +246,45 @@ public final class DynamicRangeUtil {
|
|||
weights[index1] = weights[index2];
|
||||
weights[index2] = tmp;
|
||||
}
|
||||
}.sort(0, len);
|
||||
|
||||
long accuWeight = 0;
|
||||
long valueSum = 0;
|
||||
int count = 0;
|
||||
int minIdx = 0;
|
||||
@Override
|
||||
protected void setPivot(int i) {
|
||||
pivotValue = values[i];
|
||||
pivotWeight = weights[i];
|
||||
}
|
||||
|
||||
double rangeWeightTarget = (double) totalWeight / Math.min(topN, len);
|
||||
@Override
|
||||
protected int comparePivot(int j) {
|
||||
int cmp = Long.compare(pivotValue, values[j]);
|
||||
if (cmp == 0) {
|
||||
// If the values are equal, sort based on the weights.
|
||||
// Any weight order is correct as long as it's deterministic.
|
||||
return Long.compare(pivotWeight, weights[j]);
|
||||
}
|
||||
return cmp;
|
||||
}
|
||||
}.select(0, len, totalValue, 0, totalWeight, 0, kWeights);
|
||||
|
||||
for (int i = 0; i < len; i++) {
|
||||
accuWeight += weights[i];
|
||||
valueSum += values[i];
|
||||
count++;
|
||||
|
||||
if (accuWeight >= rangeWeightTarget) {
|
||||
int lastIdx = -1;
|
||||
long lastTotalValue = 0;
|
||||
long lastTotalWeight = 0;
|
||||
for (int kIdx = 0; kIdx < topN; kIdx++) {
|
||||
WeightedSelector.WeightRangeInfo weightRangeInfo = kIndexResults[kIdx];
|
||||
if (weightRangeInfo.index() > -1) {
|
||||
int count = weightRangeInfo.index() - lastIdx;
|
||||
dynamicRangeResult.add(
|
||||
new DynamicRangeInfo(
|
||||
count, accuWeight, values[minIdx], values[i], (double) valueSum / count));
|
||||
count = 0;
|
||||
accuWeight = 0;
|
||||
valueSum = 0;
|
||||
minIdx = i + 1;
|
||||
count,
|
||||
(weightRangeInfo.runningWeight() - lastTotalWeight),
|
||||
values[lastIdx + 1],
|
||||
values[weightRangeInfo.index()],
|
||||
(double) (weightRangeInfo.runningValueSum() - lastTotalValue) / count));
|
||||
lastIdx = weightRangeInfo.index();
|
||||
lastTotalValue = weightRangeInfo.runningValueSum();
|
||||
lastTotalWeight = weightRangeInfo.runningWeight();
|
||||
}
|
||||
}
|
||||
|
||||
// capture the remaining values to create the last range
|
||||
if (minIdx < len) {
|
||||
dynamicRangeResult.add(
|
||||
new DynamicRangeInfo(
|
||||
count, accuWeight, values[minIdx], values[len - 1], (double) valueSum / count));
|
||||
}
|
||||
return dynamicRangeResult;
|
||||
}
|
||||
|
||||
|
|
|
@ -26,10 +26,12 @@ public class TestDynamicRangeUtil extends LuceneTestCase {
|
|||
long[] values = new long[1000];
|
||||
long[] weights = new long[1000];
|
||||
|
||||
long totalValue = 0;
|
||||
long totalWeight = 0;
|
||||
for (int i = 0; i < 1000; i++) {
|
||||
values[i] = i + 1;
|
||||
weights[i] = i;
|
||||
totalValue += i + 1;
|
||||
totalWeight += i;
|
||||
}
|
||||
|
||||
|
@ -40,7 +42,8 @@ public class TestDynamicRangeUtil extends LuceneTestCase {
|
|||
new DynamicRangeUtil.DynamicRangeInfo(159, 125133L, 709L, 867L, 788D));
|
||||
expectedRangeInfoList.add(
|
||||
new DynamicRangeUtil.DynamicRangeInfo(133, 124089L, 868L, 1000L, 934D));
|
||||
assertDynamicNumericRangeResults(values, weights, 4, totalWeight, expectedRangeInfoList);
|
||||
assertDynamicNumericRangeResults(
|
||||
values, weights, 4, totalValue, totalWeight, expectedRangeInfoList);
|
||||
}
|
||||
|
||||
public void testComputeDynamicNumericRangesWithSameValues() {
|
||||
|
@ -55,11 +58,12 @@ public class TestDynamicRangeUtil extends LuceneTestCase {
|
|||
}
|
||||
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(51, 1275L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(21, 1281L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(16, 1272L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(12, 1122L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(20, 1210L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(16, 1256L, 50L, 50L, 50D));
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(13, 1209L, 50L, 50L, 50D));
|
||||
|
||||
assertDynamicNumericRangeResults(values, weights, 4, totalWeight, expectedRangeInfoList);
|
||||
assertDynamicNumericRangeResults(
|
||||
values, weights, 4, 50 * values.length, totalWeight, expectedRangeInfoList);
|
||||
}
|
||||
|
||||
public void testComputeDynamicNumericRangesWithOneValue() {
|
||||
|
@ -68,7 +72,7 @@ public class TestDynamicRangeUtil extends LuceneTestCase {
|
|||
List<DynamicRangeUtil.DynamicRangeInfo> expectedRangeInfoList = new ArrayList<>();
|
||||
|
||||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(1, 1L, 50L, 50L, 50D));
|
||||
assertDynamicNumericRangeResults(values, weights, 4, 1, expectedRangeInfoList);
|
||||
assertDynamicNumericRangeResults(values, weights, 4, 50, 1, expectedRangeInfoList);
|
||||
}
|
||||
|
||||
public void testComputeDynamicNumericRangesWithOneLargeWeight() {
|
||||
|
@ -80,24 +84,25 @@ public class TestDynamicRangeUtil extends LuceneTestCase {
|
|||
expectedRangeInfoList.add(new DynamicRangeUtil.DynamicRangeInfo(1, 52343, 14L, 14L, 14D));
|
||||
expectedRangeInfoList.add(
|
||||
new DynamicRangeUtil.DynamicRangeInfo(6, 2766, 32L, 455L, 163.16666666666666D));
|
||||
assertDynamicNumericRangeResults(values, weights, 4, 55109, expectedRangeInfoList);
|
||||
assertDynamicNumericRangeResults(values, weights, 4, 993, 55109, expectedRangeInfoList);
|
||||
}
|
||||
|
||||
private static void assertDynamicNumericRangeResults(
|
||||
long[] values,
|
||||
long[] weights,
|
||||
int topN,
|
||||
long totalValue,
|
||||
long totalWeight,
|
||||
List<DynamicRangeUtil.DynamicRangeInfo> expectedDynamicRangeResult) {
|
||||
List<DynamicRangeUtil.DynamicRangeInfo> mockDynamicRangeResult =
|
||||
DynamicRangeUtil.computeDynamicNumericRanges(
|
||||
values, weights, values.length, totalWeight, topN);
|
||||
assertTrue(compareDynamicRangeResult(mockDynamicRangeResult, expectedDynamicRangeResult));
|
||||
values, weights, values.length, totalValue, totalWeight, topN);
|
||||
compareDynamicRangeResult(mockDynamicRangeResult, expectedDynamicRangeResult);
|
||||
}
|
||||
|
||||
private static boolean compareDynamicRangeResult(
|
||||
private static void compareDynamicRangeResult(
|
||||
List<DynamicRangeUtil.DynamicRangeInfo> mockResult,
|
||||
List<DynamicRangeUtil.DynamicRangeInfo> expectedResult) {
|
||||
return mockResult.size() == expectedResult.size() && mockResult.containsAll(expectedResult);
|
||||
assertEquals(expectedResult, mockResult);
|
||||
}
|
||||
}
|
||||
|
|
Loading…
Reference in New Issue