add priority queue
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@ -0,0 +1,243 @@
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/*
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* MIT License
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*
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* Copyright (c) 2019 norangebit
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
|
||||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
* copies of the Software, and to permit persons to whom the Software is
|
||||
* furnished to do so, subject to the following conditions:
|
||||
*
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* The above copyright notice and this permission notice shall be included in all
|
||||
* copies or substantial portions of the Software.
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||||
*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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||||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*
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*/
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package it.norangeb.algorithms.datastructures.queue.priority
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import arrow.core.None
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import arrow.core.Option
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import arrow.core.toOption
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class BinaryHeap<T> private constructor(
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private var array: Array<T?>,
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private val shouldExchange: (T, T) -> Boolean
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) : PriorityQueue<T> {
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private var size: Int = 0
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override fun insert(elem: T) {
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if (isFull())
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resizeArray(array.size * WAY)
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array[++size] = elem
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pushUp(array, size)
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}
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override fun pop(): Option<T> {
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if (size < 1) return None
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val result = array[FIRST_ELEMENT]
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exchange(array, FIRST_ELEMENT, size)
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array[size--] = null
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pullDown(array, FIRST_ELEMENT)
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if (isOneQuarterFull())
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resizeArray(array.size / WAY)
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return result.toOption()
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}
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private fun print() {
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print("|")
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array.forEach {
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print(" $it |")
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}
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println()
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}
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override fun peek(): Option<T> = if (size >= 1)
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array[1].toOption()
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else
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None
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override fun isEmpty(): Boolean = size == 0
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override fun size(): Int = size
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private fun pushUp(array: Array<T?>, k: Int) {
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when {
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k <= 1 -> return
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shouldExchange(
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array[k / WAY] ?: return,
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array[k] ?: return
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) -> {
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exchange(array, k / WAY, k)
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pushUp(array, k / WAY)
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}
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else -> return
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}
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}
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private fun pullDown(array: Array<T?>, k: Int) {
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var i = k
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while (i * WAY <= size) {
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val child = i * WAY
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when {
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array[child + 1] == null -> exchange(array, i, child)
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shouldExchange(
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array[child] ?: return,
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array[child + 1] ?: return
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) -> exchange(array, i, child + 1)
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else -> exchange(array, i, child)
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}
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i *= WAY
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}
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pushUp(array, i)
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}
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private fun exchange(array: Array<T?>, i: Int, j: Int) {
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array[i] = array[j].also {
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array[j] = array[i]
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}
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}
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private fun isFull(): Boolean = size + 1 == array.size
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private fun isOneQuarterFull(): Boolean {
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return size > 1 &&
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size + 1 == array.size / 4
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}
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private fun resizeArray(capacity: Int) {
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array = array.copyOf(capacity)
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}
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companion object : COPriorityQueue {
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private const val DEFAULT_CAPACITY = 3
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private const val WAY = 2
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private const val FIRST_ELEMENT = 1
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override fun <C : Comparable<C>> createMaxPriorityQueue(): PriorityQueue<C> {
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val array: Array<C?> = arrayOfNulls<Comparable<Any>>(DEFAULT_CAPACITY) as Array<C?>
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return BinaryHeap(array) { t1, t2 ->
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t1 < t2
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}
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}
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override fun <C : Comparable<C>> createMinPriorityQueue(): PriorityQueue<C> {
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val array: Array<C?> = arrayOfNulls<Comparable<Any>>(DEFAULT_CAPACITY) as Array<C?>
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return BinaryHeap(array) { t1, t2 ->
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t1 > t2
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}
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}
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override fun <T> createMaxPriorityQueue(compare: (T, T) -> Int): PriorityQueue<T> {
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val array: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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return BinaryHeap(array) { t1, t2 ->
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compare(t1, t2) < 0
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}
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}
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override fun <T> createMinPriorityQueue(compare: (T, T) -> Int): PriorityQueue<T> {
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val array: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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return BinaryHeap(array) { t1, t2 ->
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compare(t1, t2) > 0
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}
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}
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override fun <T, C : Comparable<C>> createMaxPriorityQueue(compareBy: (T) -> C): PriorityQueue<T> {
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val array: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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return BinaryHeap(array) { t1, t2 ->
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compareBy(t1) < compareBy(t2)
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}
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}
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override fun <T, C : Comparable<C>> createMinPriorityQueue(compareBy: (T) -> C): PriorityQueue<T> {
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val array: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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return BinaryHeap(array) { t1, t2 ->
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compareBy(t1) > compareBy(t2)
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}
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}
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override fun <C : Comparable<C>> createMaxPriorityQueueFromArray(array: Array<C>): PriorityQueue<C> {
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val heap = BinaryHeap.createMaxPriorityQueue<C>()
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array.forEach { heap.insert(it) }
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return heap
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}
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override fun <C : Comparable<C>> createMinPriorityQueueFromArray(array: Array<C>): PriorityQueue<C> {
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val heap = BinaryHeap.createMinPriorityQueue<C>()
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array.forEach { heap.insert(it) }
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return heap
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}
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override fun <T> createMaxPriorityQueueFromArray(
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array: Array<T>,
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compare: (T, T) -> Int
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): PriorityQueue<T> {
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val initArray: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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val heap = BinaryHeap(initArray) { t1, t2 ->
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compare(t1, t2) < 0
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}
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array.forEach { heap.insert(it) }
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return heap
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}
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override fun <T> createMinPriorityQueueFromArray(
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array: Array<T>,
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compare: (T, T) -> Int
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): PriorityQueue<T> {
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val initArray: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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val heap = BinaryHeap(initArray) { t1, t2 ->
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compare(t1, t2) > 0
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}
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array.forEach { heap.insert(it) }
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return heap
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}
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override fun <T, C : Comparable<C>> createMaxPriorityQueueFromArray(
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array: Array<T>,
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compareBy: (T) -> C
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): PriorityQueue<T> {
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val initArray: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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val heap = BinaryHeap(initArray) { t1, t2 ->
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compareBy(t1) < compareBy(t2)
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}
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array.forEach { heap.insert(it) }
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return heap
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}
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override fun <T, C : Comparable<C>> createMinPriorityQueueFromArray(
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array: Array<T>,
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compareBy: (T) -> C
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): PriorityQueue<T> {
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val initArray: Array<T?> = arrayOfNulls<Any>(DEFAULT_CAPACITY) as Array<T?>
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val heap = BinaryHeap(initArray) { t1, t2 ->
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compareBy(t1) > compareBy(t2)
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}
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array.forEach { heap.insert(it) }
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return heap
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}
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}
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}
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@ -0,0 +1,78 @@
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/*
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* MIT License
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*
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* Copyright (c) 2019 norangebit
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
|
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
* copies of the Software, and to permit persons to whom the Software is
|
||||
* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in all
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* copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
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* SOFTWARE.
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*
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*/
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package it.norangeb.algorithms.datastructures.queue.priority
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import arrow.core.Option
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interface PriorityQueue<T> {
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fun insert(elem: T)
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fun pop(): Option<T>
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fun peek(): Option<T>
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fun isEmpty(): Boolean
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fun size(): Int
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}
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interface COPriorityQueue {
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fun <C : Comparable<C>> createMaxPriorityQueue(): PriorityQueue<C>
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fun <C : Comparable<C>> createMinPriorityQueue(): PriorityQueue<C>
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fun <T> createMaxPriorityQueue(compare: (T, T) -> Int): PriorityQueue<T>
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fun <T> createMinPriorityQueue(compare: (T, T) -> Int): PriorityQueue<T>
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fun <T, C : Comparable<C>> createMaxPriorityQueue(
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compareBy: (T) -> C
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): PriorityQueue<T>
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fun <T, C : Comparable<C>> createMinPriorityQueue(
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compareBy: (T) -> C
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): PriorityQueue<T>
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fun <C : Comparable<C>> createMaxPriorityQueueFromArray(
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array: Array<C>
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): PriorityQueue<C>
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fun <C : Comparable<C>> createMinPriorityQueueFromArray(
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array: Array<C>
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): PriorityQueue<C>
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fun <T> createMaxPriorityQueueFromArray(
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array: Array<T>,
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compare: (T, T) -> Int
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): PriorityQueue<T>
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fun <T> createMinPriorityQueueFromArray(
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array: Array<T>,
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compare: (T, T) -> Int
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): PriorityQueue<T>
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fun <T, C : Comparable<C>> createMaxPriorityQueueFromArray(
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array: Array<T>,
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compareBy: (T) -> C
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): PriorityQueue<T>
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fun <T, C : Comparable<C>> createMinPriorityQueueFromArray(
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array: Array<T>,
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compareBy: (T) -> C
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): PriorityQueue<T>
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}
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@ -0,0 +1,362 @@
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/*
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* MIT License
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*
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* Copyright (c) 2019 norangebit
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
* of this software and associated documentation files (the "Software"), to deal
|
||||
* in the Software without restriction, including without limitation the rights
|
||||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
* copies of the Software, and to permit persons to whom the Software is
|
||||
* furnished to do so, subject to the following conditions:
|
||||
*
|
||||
* The above copyright notice and this permission notice shall be included in all
|
||||
* copies or substantial portions of the Software.
|
||||
*
|
||||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
|
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* SOFTWARE.
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*
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*/
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package it.norangeb.algorithms.datastructures.queue.priority
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import arrow.core.None
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import org.amshove.kluent.`should be equal to`
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import org.amshove.kluent.`should equal`
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import org.junit.jupiter.api.Test
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import kotlin.reflect.full.declaredMemberFunctions
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import kotlin.reflect.jvm.isAccessible
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class BinaryHeapTest {
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@Test
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fun testExchange() {
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val exchange = BinaryHeap::class.declaredMemberFunctions
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.find { it.name == "exchange" }
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.also { it?.isAccessible = true }
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val binaryHeap = BinaryHeap.createMaxPriorityQueue<Int> { _, _ -> -1 }
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val array = arrayOf(1, 2)
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exchange?.call(binaryHeap, array, 0, 1)
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array `should equal` arrayOf(2, 1)
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}
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@Test
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fun testPushUp() {
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val pushUp = BinaryHeap::class.declaredMemberFunctions
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.find { it.name == "pushUp" }
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.also { it?.isAccessible = true }
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val binaryHeap = BinaryHeap.createMaxPriorityQueue<Int> { t1, t2 ->
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t1.compareTo(t2)
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}
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val array = arrayOf(Int.MAX_VALUE, 23, 5, 12, 3, 7)
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pushUp?.call(binaryHeap, array, 5)
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array `should equal` arrayOf(Int.MAX_VALUE, 23, 7, 12, 3, 5)
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}
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@Test
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fun testComparableMax() {
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val heap = BinaryHeap.createMaxPriorityQueue<Int>()
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heap.insert(25)
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heap.insert(5)
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heap.insert(15)
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heap.insert(12)
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heap.pop().map { it `should be equal to` 25 }
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heap.pop().map { it `should be equal to` 15 }
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heap.size() `should be equal to` 2
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heap.insert(1)
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heap.insert(13)
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heap.peek().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 12 }
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heap.pop().map { it `should be equal to` 5 }
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heap.pop().map { it `should be equal to` 1 }
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(heap.pop() is None) `should be equal to` true
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}
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@Test
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fun testComparableMin() {
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val heap = BinaryHeap.createMinPriorityQueue<Int>()
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heap.insert(25)
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heap.insert(5)
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heap.insert(12)
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heap.pop().map { it `should be equal to` 5 }
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heap.pop().map { it `should be equal to` 12 }
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heap.insert(15)
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heap.insert(1)
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heap.insert(13)
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heap.peek().map { it `should be equal to` 1 }
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heap.pop().map { it `should be equal to` 1 }
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heap.pop().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 15 }
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heap.pop().map { it `should be equal to` 25 }
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(heap.pop() is None) `should be equal to` true
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}
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@Test
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fun testCompareMax() {
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val heap = BinaryHeap.createMaxPriorityQueue<Int> { t1, t2 -> t1.compareTo(t2) }
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heap.insert(15)
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heap.insert(12)
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heap.insert(5)
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heap.insert(25)
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heap.pop().map { it `should be equal to` 25 }
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heap.pop().map { it `should be equal to` 15 }
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heap.insert(13)
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heap.insert(1)
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heap.peek().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 12 }
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heap.pop().map { it `should be equal to` 5 }
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heap.pop().map { it `should be equal to` 1 }
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(heap.pop() is None) `should be equal to` true
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}
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@Test
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fun testCompareMin() {
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val heap = BinaryHeap.createMinPriorityQueue<Int> { t1, t2 -> t1.compareTo(t2) }
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heap.insert(25)
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heap.insert(5)
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heap.insert(12)
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heap.insert(15)
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heap.pop().map { it `should be equal to` 5 }
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heap.pop().map { it `should be equal to` 12 }
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heap.insert(1)
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heap.insert(13)
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heap.peek().map { it `should be equal to` 1 }
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heap.pop().map { it `should be equal to` 1 }
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heap.pop().map { it `should be equal to` 13 }
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heap.pop().map { it `should be equal to` 15 }
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heap.pop().map { it `should be equal to` 25 }
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(heap.pop() is None) `should be equal to` true
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}
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@Test
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fun testCompareByMax() {
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val heap = BinaryHeap.createMaxPriorityQueue<Int, Int> { it }
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heap.insert(15)
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heap.insert(25)
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heap.insert(12)
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|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
|
||||
heap.insert(1)
|
||||
heap.insert(5)
|
||||
heap.insert(13)
|
||||
|
||||
heap.peek().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareByMin() {
|
||||
val heap = BinaryHeap.createMinPriorityQueue<Int, Int> { it }
|
||||
heap.insert(12)
|
||||
heap.insert(25)
|
||||
heap.insert(5)
|
||||
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
|
||||
heap.insert(13)
|
||||
heap.insert(15)
|
||||
heap.insert(1)
|
||||
|
||||
heap.peek().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testComparableArrayMax() {
|
||||
val array = arrayOf(5, 12)
|
||||
val heap = BinaryHeap.createMaxPriorityQueueFromArray(array)
|
||||
|
||||
heap.insert(25)
|
||||
heap.insert(15)
|
||||
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
|
||||
heap.insert(1)
|
||||
heap.insert(13)
|
||||
|
||||
heap.peek().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testComparableArrayMin() {
|
||||
val array = arrayOf(12, 25)
|
||||
val heap = BinaryHeap.createMinPriorityQueueFromArray(array)
|
||||
|
||||
heap.insert(5)
|
||||
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
|
||||
heap.insert(15)
|
||||
heap.insert(1)
|
||||
heap.insert(13)
|
||||
|
||||
heap.peek().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareMaxArray() {
|
||||
val array = arrayOf(15, 5)
|
||||
val heap = BinaryHeap.createMaxPriorityQueueFromArray(array) { t1, t2 ->
|
||||
t1.compareTo(t2)
|
||||
}
|
||||
|
||||
heap.insert(12)
|
||||
heap.insert(25)
|
||||
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
|
||||
heap.insert(13)
|
||||
heap.insert(1)
|
||||
|
||||
heap.peek().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareMinArray() {
|
||||
val array = arrayOf(15, 12)
|
||||
val heap = BinaryHeap.createMinPriorityQueueFromArray(array) { t1, t2 ->
|
||||
t1.compareTo(t2)
|
||||
}
|
||||
|
||||
heap.insert(25)
|
||||
heap.insert(5)
|
||||
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
|
||||
heap.insert(1)
|
||||
heap.insert(13)
|
||||
|
||||
heap.peek().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareByMaxArray() {
|
||||
val array = arrayOf(12)
|
||||
val heap = BinaryHeap.createMaxPriorityQueueFromArray<Int, Int>(array) { it }
|
||||
|
||||
heap.insert(15)
|
||||
heap.insert(25)
|
||||
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
|
||||
heap.insert(1)
|
||||
heap.insert(5)
|
||||
heap.insert(13)
|
||||
|
||||
heap.peek().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testCompareByMinArray() {
|
||||
val array = arrayOf(5, 12)
|
||||
val heap = BinaryHeap.createMinPriorityQueueFromArray<Int, Int>(array) { it }
|
||||
|
||||
heap.insert(25)
|
||||
|
||||
heap.pop().map { it `should be equal to` 5 }
|
||||
heap.pop().map { it `should be equal to` 12 }
|
||||
|
||||
heap.insert(13)
|
||||
heap.insert(15)
|
||||
heap.insert(1)
|
||||
|
||||
heap.peek().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 1 }
|
||||
heap.pop().map { it `should be equal to` 13 }
|
||||
heap.pop().map { it `should be equal to` 15 }
|
||||
heap.pop().map { it `should be equal to` 25 }
|
||||
|
||||
(heap.pop() is None) `should be equal to` true
|
||||
}
|
||||
|
||||
@Test
|
||||
fun testResize() {
|
||||
val heap = BinaryHeap.createMaxPriorityQueue<Int>()
|
||||
|
||||
(0 until 1000).forEach { heap.insert(it) }
|
||||
repeat(1010) { heap.pop() }
|
||||
heap.size() `should be equal to` 0
|
||||
heap.insert(10)
|
||||
heap.insert(11)
|
||||
|
||||
heap.pop().map { it `should be equal to` 11 }
|
||||
heap.pop().map { it `should be equal to` 10 }
|
||||
}
|
||||
}
|
||||
Loading…
Reference in New Issue
Block a user