Python实现哈夫曼编码解码算法
import heapq
from collections import defaultdict
class HuffmanNode:
def __init__(self, char, freq):
self.char = char
self.freq = freq
self.left = None
self.right = None
# 哈夫曼树节点对象之间的比较规则,用于堆的排序
def __lt__(self, other):
return self.freq < other.freq
# 计算字符出现的概率
def get_char_frequency(text):
freq_dict = defaultdict(int) #创建一个默认值为 0 的空字典,如果字典中访问一个不存在的键,那么这个键的默认值就会是 0。
for char in text:
freq_dict[char] += 1 #把字符导入到字典中去并且相同的就加1
n = len(text)
for char in freq_dict:
freq_dict[char] /= n
return freq_dict
# 构建哈夫曼树
def build_huffman_tree(freq_dict):
# 将每个字符及其概率构造为一个哈夫曼树节点
heap = [HuffmanNode(char, freq) for char, freq in freq_dict.items()] #这些对象存储到一个列表中,即 heap 中。在这个列表中,每个 HuffmanNode 对象都代表了一个字符以及其出现的频率
# 用堆来存储所有哈夫曼树节点,每次取出频率最小的两个节点合并
heapq.heapify(heap) #将heap转化为堆
while len(heap) > 1:
# 取出频率最小的两个节点,合并为一个新节点
node1 = heapq.heappop(heap) #heapq.heappop弹出最小值
node2 = heapq.heappop(heap)
parent_freq = node1.freq + node2.freq
parent = HuffmanNode(None, parent_freq) #给中间的点的值都设置为空
parent.left = node1
parent.right = node2
# 将新节点放回堆中
heapq.heappush(heap, parent)
# 堆中仅剩下一个节点,即为哈夫曼树的根节点
if len(heap) == 1:
return heap[0]
else:
return None
# 递归生成哈夫曼编码
def generate_huffman_code(node, code_dict, code=''):
if node.char is not None:
# 到达叶节点,将字符和对应的编码存储到字典中
code_dict[node.char] = code
return
# 递归遍历左子树和右子树
generate_huffman_code(node.left, code_dict, code + '0')
generate_huffman_code(node.right, code_dict, code + '1')
# 将文本编码为哈夫曼编码
def encode_text(text, code_dict):
return ''.join(code_dict[char] for char in text)
# 将哈夫曼编码解码为原始文本
def decode_text(encoded_text, root):
decoded_text = ''
node = root
for bit in encoded_text:
if bit == '0':
node = node.left
elif bit == '1':
node = node.right
if node.char is not None: #中间点的值都为空
decoded_text += node.char
node = root #继续开始找下一个原码
return decoded_text
text= input('输入即将被编码的字符:')
freq_dict = get_char_frequency(text)
root = build_huffman_tree(freq_dict)
code_dict = {}
generate_huffman_code(root, code_dict)
#打印每个字符的概率和对应的编码
for char, freq in freq_dict.items():
code = code_dict[char]
print(f'char: {char}, freq: {freq:.3f}, code: {code}')
#将文本编码为哈夫曼编码
encoded_text = encode_text(text, code_dict)
print(f'Encoded text: {encoded_text}')
#将哈夫曼编码解码为原始文本
decoded_text = decode_text(encoded_text, root)
print(f'Decoded text: {decoded_text}')
上述代码中怎么编写代码判断node中只有一个元素内容:
在build_huffman_tree函数中,当堆中仅剩下一个节点时,即为哈夫曼树的根节点。可以通过判断堆的长度来判断节点的数量,如果堆的长度为1,则堆中仅剩下一个节点。代码如下:
# 构建哈夫曼树
def build_huffman_tree(freq_dict):
# 将每个字符及其概率构造为一个哈夫曼树节点
heap = [HuffmanNode(char, freq) for char, freq in freq_dict.items()]
# 用堆来存储所有哈夫曼树节点,每次取出频率最小的两个节点合并
heapq.heapify(heap)
while len(heap) > 1:
# 取出频率最小的两个节点,合并为一个新节点
node1 = heapq.heappop(heap)
node2 = heapq.heappop(heap)
parent_freq = node1.freq + node2.freq
parent = HuffmanNode(None, parent_freq)
parent.left = node1
parent.right = node2
# 将新节点放回堆中
heapq.heappush(heap, parent)
# 堆中仅剩下一个节点,即为哈夫曼树的根节点
if len(heap) == 1:
return heap[0]
else:
return None
原文地址: https://www.cveoy.top/t/topic/lLO8 著作权归作者所有。请勿转载和采集!