Created
August 9, 2020 05:34
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Trying out MaxHeaps
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package com.aniketkadam.heaps | |
import org.jetbrains.annotations.TestOnly | |
class MaxHeap<T : Comparable<T>> { | |
private val items: MutableList<T> = mutableListOf() | |
fun insertAll(items: List<T>): Unit = items.forEach(::insert) | |
fun insert(item: T): Unit { | |
items.add(item) | |
bubbleUp(items.size - 1) | |
} | |
private fun getParentIndex(index: Int): Int { | |
// Left child = 2i + 1 | |
// Right child = 2i + 2 | |
// So the parent of 'i' is: | |
// 2pi + 1 = ci | |
// pi = Integer value of (c1 - 1)/2 | |
return (index - 1) / 2 | |
} | |
private fun bubbleUp(index: Int) { | |
// If it's the root item, it'll be compared to itself and will never be greater than itself | |
val parentIndex = getParentIndex(index) | |
val isGreaterThanParent = items[index] > items[parentIndex] | |
if (isGreaterThanParent) { | |
// Swap with the parent | |
val temp = items[index] | |
items[index] = items[parentIndex] | |
items[parentIndex] = temp | |
// Check the parent | |
bubbleUp(parentIndex) | |
} | |
} | |
private fun bubbleDown(index: Int = 0) { | |
// Get the left and right child | |
// Left child = 2i + 1 | |
// Right child = 2i + 2 | |
val leftIdx = 2 * index + 1 | |
val rightIdx = 2 * index + 2 | |
var compareIndex = -1 | |
if (rightIdx < items.size) { | |
// Both left and right children exist | |
// The compare index is the one which is greater | |
if(items[leftIdx] > items[rightIdx]) { | |
compareIndex = leftIdx | |
} else { | |
compareIndex = rightIdx | |
} | |
} else if (leftIdx < items.size) { | |
// Only left child exists | |
compareIndex = leftIdx | |
} else { | |
// There are no children so nothing to do | |
return | |
} | |
// If we get here then compareIndex is not -1 | |
// Also a swap may be necessary | |
if(items[index] < items[compareIndex]) { | |
val temp = items[index] | |
items[index] = items[compareIndex] | |
items[compareIndex] = temp | |
bubbleDown(compareIndex) | |
} | |
} | |
fun extract(): T { | |
val max = items[0] | |
items[0] = items.removeAt(items.size - 1) | |
bubbleDown() | |
return max | |
} | |
@TestOnly | |
fun shape(): List<T> = items | |
} |
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package com.aniketkadam.heaps | |
import org.hamcrest.core.IsEqual.equalTo | |
import org.junit.Test | |
import org.junit.Assert.* | |
import org.junit.Before | |
class MaxHeapTest { | |
lateinit var heap: MaxHeap<Int> | |
@Before | |
fun setup() { | |
heap = MaxHeap() | |
} | |
@Test | |
fun `insert works as expected`() { | |
heap.insertAll(listOf(1, 2, 3, 4, 5)) | |
assertThat(heap.shape(), equalTo(listOf(5, 4, 2, 1, 3))) | |
} | |
@Test | |
fun `extract works as expected`() { | |
heap.insertAll(listOf(1, 2, 3, 4, 5)) | |
assertThat(heap.extract(), equalTo(5)) | |
assertThat(heap.shape(), equalTo(listOf(4, 3, 2, 1))) | |
} | |
} |
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