diff --git a/lib/heap_sort.rb b/lib/heap_sort.rb index c8a32a4..c4f3b37 100644 --- a/lib/heap_sort.rb +++ b/lib/heap_sort.rb @@ -1,8 +1,17 @@ - +require 'min_heap.rb' # This method uses a heap to sort an array. # Time Complexity: ? # Space Complexity: ? -def heap_sort(list) - raise NotImplementedError, "Method not implemented yet..." +def heapsort(list) + return [] if list.empty? + min_heap = MinHeap.new + list.each do |num| + min_heap.add(num) + end + sorted_array = [] + while !min_heap.empty? + sorted_array << min_heap.remove() + end + return sorted_array end \ No newline at end of file diff --git a/lib/min_heap.rb b/lib/min_heap.rb index 6eaa630..5c8f2d9 100644 --- a/lib/min_heap.rb +++ b/lib/min_heap.rb @@ -14,18 +14,23 @@ def initialize end # This method adds a HeapNode instance to the heap - # Time Complexity: ? - # Space Complexity: ? + # Time Complexity: O(logn) adding element to end of array is O(1) while heap-up worst case is O(logn) + # Space Complexity: O(1) def add(key, value = key) - raise NotImplementedError, "Method not implemented yet..." + new_node = HeapNode.new(key,value) + @store.push(new_node) + heap_up(@store.length - 1) end # This method removes and returns an element from the heap # maintaining the heap structure - # Time Complexity: ? - # Space Complexity: ? + # Time Complexity: O(logn) + # Space Complexity: O(1) def remove() - raise NotImplementedError, "Method not implemented yet..." + swap(0,@store.length - 1) + result = @store.pop + heap_down(0) + return result.value end @@ -44,10 +49,10 @@ def to_s end # This method returns true if the heap is empty - # Time complexity: ? - # Space complexity: ? + # Time complexity: O(1) + # Space complexity: O(1) def empty? - raise NotImplementedError, "Method not implemented yet..." + return (@store.length == 0) ? true : false end private @@ -55,17 +60,53 @@ def empty? # This helper method takes an index and # moves it up the heap, if it is less than it's parent node. # It could be **very** helpful for the add method. - # Time complexity: ? - # Space complexity: ? + # Time complexity: O(logn) + # Space complexity: O(1) def heap_up(index) + if index.odd? + parent_index = (index-1)/2 + else + parent_index = (index-2)/2 + end + while @store[index].key < @store[parent_index].key && parent_index > -1 + swap(index,parent_index) + index = parent_index + if index.odd? + parent_index = (index-1)/2 + else + parent_index = (index-2)/2 + end + end end # This helper method takes an index and # moves it up the heap if it's smaller # than it's parent node. def heap_down(index) - raise NotImplementedError, "Method not implemented yet..." + + left_child_index = 2 * index + 1 + right_child_index = 2 * index + 2 + + if @store[left_child_index].nil? + return nil + end + if @store[right_child_index].nil? + if @store[index].key > @store[left_child_index].key + swap(index, left_child_index) + end + return + end + # If both child exist, compare their key find min and compare to parent, swap if parent is smaller + + if @store[left_child_index].key < @store[right_child_index].key + swap(left_child_index, index) + heap_down(left_child_index) + else + swap(right_child_index, index) + heap_down(left_child_index) + end + end # If you want a swap method... you're welcome @@ -74,4 +115,5 @@ def swap(index_1, index_2) @store[index_1] = @store[index_2] @store[index_2] = temp end + end \ No newline at end of file diff --git a/test/heapsort_test.rb b/test/heapsort_test.rb index 34402ac..7ce79b7 100644 --- a/test/heapsort_test.rb +++ b/test/heapsort_test.rb @@ -1,6 +1,6 @@ require_relative "test_helper" -xdescribe "heapsort" do +describe "heapsort" do it "sorts an empty array" do # Arrange list = []