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December 15, 2015 06:49
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Huffman Codes Implementation
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text = 'abdfbcbedbabcfefbdddedbbfababc' | |
def build_huffman_tree(text): | |
f = {} | |
for char in text: | |
if char in f: | |
f[char] = f[char] + 1 | |
else: | |
f[char] = 1 | |
ht = [] | |
for item in f.items(): | |
ht.append((item[0], item[1])) | |
while len(ht) > 1: | |
ht.sort(key=lambda item: item[1]) | |
new_node = (ht[0][0] + ht[1][0], ht[0][1] + ht[1][1], ht[0], ht[1]) | |
ht.pop(0) | |
ht[0] = new_node | |
return ht[0] | |
def encode_symbol(char, tree, code = []): | |
if len(tree[0]) > 1: | |
if char in tree[2][0]: | |
code.append('0') | |
return encode_symbol(char, tree[2], code) | |
else: | |
code.append('1') | |
return encode_symbol(char, tree[3], code) | |
elif tree[0] == char: | |
return code | |
else: | |
raise Exception("Symbol '%c' is not in the tree" % char) | |
def encode_alphabet(alphabet, tree): | |
encoding = {} | |
for char in alphabet: | |
encoding[char] = encode_symbol(char, tree, []) | |
return encoding | |
def encode_message(text, table): | |
code = [] | |
for char in text: | |
code.extend(table[char]) | |
return ''.join(code) | |
def decode_message(code, tree): | |
tree_iter = tree | |
message = '' | |
for bit in code: | |
tree_iter = tree_iter[2 if bit == '0' else 3] | |
if len(tree_iter[0]) == 1: | |
message = message + tree_iter[0] | |
tree_iter = tree | |
return message | |
tree = build_huffman_tree(text) | |
print 'Huffman tree' | |
print tree | |
table = encode_alphabet(tree[0], tree) | |
print "Code table: %s" % table | |
code = encode_message(text, table) | |
print "Encoded sequence: %s" % code | |
print "Decoded sequence: %s" % decode_message(code, tree) |
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