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/*******************************************************************************
 * Copyright 2011 LibGDX.
 * Mario Zechner 
 * Nathan Sweet 
 *
 * 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.
 ******************************************************************************/

package dorkbox.util.collections;

import java.util.Comparator;

/** This class is for selecting a ranked element (kth ordered statistic) from an unordered list in faster time than sorting the
 * whole array. Typical applications include finding the nearest enemy unit(s), and other operations which are likely to run as
 * often as every x frames. Certain values of k will result in a partial sorting of the Array.
 * 

* The lowest ranking element starts at 1, not 0. 1 = first, 2 = second, 3 = third, etc. calling with a value of zero will result * in a {@link RuntimeException} *

*

* This class uses very minimal extra memory, as it makes no copies of the array. The underlying algorithms used are a naive * single-pass for k=min and k=max, and Hoare's quickselect for values in between. *

* @author Jon Renner */ public class Select { private static Select instance; private QuickSelect quickSelect; /** Provided for convenience */ public static Select instance () { if (instance == null) instance = new Select(); return instance; } public T select (T[] items, Comparator comp, int kthLowest, int size) { int idx = selectIndex(items, comp, kthLowest, size); return items[idx]; } public int selectIndex (T[] items, Comparator comp, int kthLowest, int size) { if (size < 1) { throw new RuntimeException("cannot select from empty array (size < 1)"); } else if (kthLowest > size) { throw new RuntimeException("Kth rank is larger than size. k: " + kthLowest + ", size: " + size); } int idx; // naive partial selection sort almost certain to outperform quickselect where n is min or max if (kthLowest == 1) { // find min idx = fastMin(items, comp, size); } else if (kthLowest == size) { // find max idx = fastMax(items, comp, size); } else { // quickselect a better choice for cases of k between min and max if (quickSelect == null) quickSelect = new QuickSelect(); idx = quickSelect.select(items, comp, kthLowest, size); } return idx; } /** Faster than quickselect for n = min */ private int fastMin (T[] items, Comparator comp, int size) { int lowestIdx = 0; for (int i = 1; i < size; i++) { int comparison = comp.compare(items[i], items[lowestIdx]); if (comparison < 0) { lowestIdx = i; } } return lowestIdx; } /** Faster than quickselect for n = max */ private int fastMax (T[] items, Comparator comp, int size) { int highestIdx = 0; for (int i = 1; i < size; i++) { int comparison = comp.compare(items[i], items[highestIdx]); if (comparison > 0) { highestIdx = i; } } return highestIdx; } }




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