#Huffman Encoding

#Tree-Node Type
class Node:
    def __init__(self,freq):
        self.left = None
        self.right = None
        self.father = None
        self.freq = freq
    def isLeft(self):
        return self.father.left == self
#create nodes建立葉子節點
def createNodes(freqs):
    return [Node(freq) for
 
 freq in freqs]

#create Huffman-Tree建立Huffman樹
def createHuffmanTree(nodes):
    queue = nodes[:]
    while len(queue) > 1:
        queue.sort(key=lambda item:item.freq)
        node_left = queue.pop(0)
        node_right = queue.pop(0)
        node_father = Node(node_left.freq + node_right.freq)
        node_father.left = node_left
        node_father.right = node_right
        node_left.father = node_father
        node_right.father = node_father
        queue.append(node_father)
    queue[0
 
].father = None
    return queue[0]
#Huffman編碼
def huffmanEncoding(nodes,root):
    codes = [''] * len(nodes)
    for i in range(len(nodes)):
        node_tmp = nodes[i]
        while node_tmp != root:
            if node_tmp.isLeft():
                codes[i] = '0' + codes[i]
            else:
                codes[i] = '1'
 
 + codes[i]
            node_tmp = node_tmp.father
    return codes

if __name__ == '__main__':
    #chars = ['A','B','C','D','E','F','G','H','I','J','K','L','M','N']
    #freqs = [10,4,2,5,3,4,2,6,4,4,3,7,9,6]
    chars_freqs = [('C', 2), ('G', 2), ('E', 3), ('K', 3), ('B', 4),
                   ('F', 4), ('I', 4), ('J', 4), ('D', 5), ('H', 6),
                   ('N', 6), ('L', 7), ('M', 9), ('A', 10)]
    nodes = createNodes([item[1] for item in chars_freqs])
    root = createHuffmanTree(nodes)
    codes = huffmanEncoding(nodes,root)
    for item in zip(chars_freqs,codes):
        print 'Character:%s freq:%-2d   encoding: %s' % (item[0][0],item[0][1],item[1])

輸出結果

>>>
Character:C freq:2  encoding: 10100
Character:G freq:2  encoding: 10101
Character:E freq:3  encoding: 0000
Character:K freq:3  encoding: 0001
Character:B freq:4  encoding: 0100
Character:F freq:4  encoding: 0101
Character:I freq:4  encoding: 0110
Character:J freq:4  encoding: 0111
Character:D freq:5  encoding: 1011
Character:H freq:6  encoding: 1110
Character:N freq:6  encoding: 1111
Character:L freq:7  encoding: 001
Character:M freq:9  encoding: 100
Character:A freq:10 encoding: 110