Charlotte - Space

lib/heap_sort.rb

@@ -1,8 +1,19 @@
+# This method uses a heap to sort an array.
+# Time Complexity: O(n)
+# Space Complexity: O(n)
 
+def heapsort(list)
+  heap = MinHeap.new
 
-# This method uses a heap to sort an array.
-# Time Complexity:  ?
-# Space Complexity: ?
-def heap_sort(list)
-  raise NotImplementedError, "Method not implemented yet..."
+  list.each do |element|
+    heap.add(element)
+  end
+
+  result = []
+
+  while !heap.empty?
+    result << heap.remove
+  end
+
+  return result
 end

lib/min_heap.rb

@@ -14,18 +14,29 @@ def initialize
   end
 
   # This method adds a HeapNode instance to the heap
-  # Time Complexity: ?
-  # Space Complexity: ?
+  # Time Complexity: O(log n)
+  # Space Complexity: O(log n)
   def add(key, value = key)
-    raise NotImplementedError, "Method not implemented yet..."
+    @store << HeapNode.new(key, value)
+
+    heap_up(@store.length - 1)
   end
 
   # This method removes and returns an element from the heap
-  #   maintaining the heap structure
-  # Time Complexity: ?
-  # Space Complexity: ?
+  # maintaining the heap structure
+  # Time Complexity: O(log n)
+  # Space Complexity: O(log n)
   def remove()
-    raise NotImplementedError, "Method not implemented yet..."
+    if @store.empty?
+      return nil
+    end
+
+    swap(0, @store.length - 1)
+    removed = @store.pop
+
+    heap_down(0) unless @store.empty?
+
+    return removed.value
   end
 
 
@@ -44,28 +55,54 @@ 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.empty?
   end
 
   private
 
   # 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(log n)
+  # Space complexity: O(log n)
   def heap_up(index)
+    return if index == 0
+
+    parent = (index - 1) / 2
 
+    # swap if node is less than it's parent node
+    if @store[index].key < @store[parent].key
+      swap(index, parent)
+      heap_up(parent)
+    end
   end
 
-  # This helper method takes an index and 
-  #  moves it up the heap if it's smaller
-  #  than it's parent node.
+  # Helper method takes an index and 
+  #  moves it up the heap if less than parent.
   def heap_down(index)
-    raise NotImplementedError, "Method not implemented yet..."
+    left_child = 2 * index + 1
+    right_child = 2 * index + 2
+
+    if right_child < @store.length
+      if @store[left_child].key > @store[right_child].key
+        smaller_child = right_child
+      else
+        smaller_child = left_child
+      end
+
+      if @store[index].key > @store[smaller_child].key
+        swap(index, smaller_child)
+        heap_down(smaller_child)
+      end
+
+    elsif left_child < @store.length
+      if @store[index].key > @store[left_child].key
+        swap(index, left_child)
+      end
+    end
   end
 
   # If you want a swap method... you're welcome
@@ -74,4 +111,4 @@ def swap(index_1, index_2)
     @store[index_1] = @store[index_2]
     @store[index_2] = temp
   end
-end
+end

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 = []