/* * Copyright 2023 dorkbox, llc * * 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. */ /******************************************************************************* * Copyright 2011 LibGDX. * Mario Zechner @gmail.com> * Nathan Sweet @gmail.com> * * 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.collections import kotlin.Array /** * 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 [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 */ class Select { companion object { const val version = Collections.version private var instance: Select? = null /** Provided for convenience */ fun instance(): Select { if (instance == null) instance = Select() return instance!! } } private var quickSelect: QuickSelect<*>? = null fun select(items: Array, comp: Comparator, kthLowest: Int, size: Int): T { val idx = selectIndex(items, comp, kthLowest, size) return items[idx] } fun selectIndex(items: Array, comp: Comparator, kthLowest: Int, size: Int): Int { if (size < 1) { throw RuntimeException("cannot select from empty array (size < 1)") } else if (kthLowest > size) { throw RuntimeException("Kth rank is larger than size. k: $kthLowest, size: $size") } val idx: Int // 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 = QuickSelect() @Suppress("UNCHECKED_CAST") val quickSelect = quickSelect!! as QuickSelect idx = quickSelect.select(items, comp, kthLowest, size) } return idx } /** * Faster than quickselect for n = min */ private fun fastMin(items: Array, comp: Comparator, size: Int): Int { var lowestIdx = 0 for (i in 1 until size) { val comparison = comp.compare(items[i], items[lowestIdx]) if (comparison < 0) { lowestIdx = i } } return lowestIdx } /** * Faster than quickselect for n = max */ private fun fastMax(items: Array, comp: Comparator, size: Int): Int { var highestIdx = 0 for (i in 1 until size) { val comparison = comp.compare(items[i], items[highestIdx]) if (comparison > 0) { highestIdx = i } } return highestIdx } }