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heap_sort.py
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heap_sort.py
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# 堆排序实现
# From 算法导论
# 默认数组下表从 1 开始
def get_value(arr, index):
return arr[index - 1]
# 用来调整最大堆的元素分布，使得 index 处的元素符合最大堆的特性要求
def max_heapify(arr, index):
left_child_index = index << 1
right_child_index = (index << 1) + 1
arr_size = len(arr)
largest_item_index = index
if left_child_index <= arr_size \
and get_value(arr, left_child_index) > get_value(arr, index):
largest_item_index = left_child_index
else:
largest_item_index = index
if right_child_index <= arr_size \
and get_value(arr, right_child_index) > get_value(arr, largest_item_index):
largest_item_index = right_child_index
if largest_item_index != index:
arr[largest_item_index - 1], arr[index - 1] = arr[index - 1], arr[largest_item_index - 1]
max_heapify(arr, largest_item_index)
# 使用 max_heapify 构建一个最大堆
def build_max_heap(arr):
heap_size = len(arr)
for i in range(int(heap_size / 2), 0, -1):
max_heapify(arr, i)
def heap_sort(arr):
build_max_heap(arr)
heap_size = len(arr)
new_arr = []
for i in range(heap_size, 1, -1):
# 构建之后，当前最大的元素就在 arr[0] 的位置，需要跟最后一个元素交换，
# 然后弹出该元素。
arr[0], arr[i - 1] = arr[i - 1], arr[0]
new_arr.append(arr.pop())
max_heapify(arr, 1)
# 此时最大堆内保留有最后一个元素
new_arr.append(arr.pop())
return new_arr
# sample = [4, 23, 19, 5, 2, 9, 67, 0, 10, 42, 8]
sample = 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print('before: ', sample)
print(heap_sort(sample))
print('after: ', sample)