huffman tree python code example
Example: huffman coding python
import math
import sys
global probabilities
probabilities = []
class HuffmanCode:
def __init__(self,probability):
self.probability = probability
def position(self, value, index):
for j in range(len(self.probability)):
if(value >= self.probability[j]):
return j
return index-1
def characteristics_huffman_code(self, code):
length_of_code = [len(k) for k in code]
mean_length = sum([a*b for a, b in zip(length_of_code, self.probability)])
print("Average length of the code: %f" % mean_length)
print("Efficiency of the code: %f" % (entropy_of_code/mean_length))
def compute_code(self):
num = len(self.probability)
huffman_code = ['']*num
for i in range(num-2):
val = self.probability[num-i-1] + self.probability[num-i-2]
if(huffman_code[num-i-1] != '' and huffman_code[num-i-2] != ''):
huffman_code[-1] = ['1' + symbol for symbol in huffman_code[-1]]
huffman_code[-2] = ['0' + symbol for symbol in huffman_code[-2]]
elif(huffman_code[num-i-1] != ''):
huffman_code[num-i-2] = '0'
huffman_code[-1] = ['1' + symbol for symbol in huffman_code[-1]]
elif(huffman_code[num-i-2] != ''):
huffman_code[num-i-1] = '1'
huffman_code[-2] = ['0' + symbol for symbol in huffman_code[-2]]
else:
huffman_code[num-i-1] = '1'
huffman_code[num-i-2] = '0'
position = self.position(val, i)
probability = self.probability[0:(len(self.probability) - 2)]
probability.insert(position, val)
if(isinstance(huffman_code[num-i-2], list) and isinstance(huffman_code[num-i-1], list)):
complete_code = huffman_code[num-i-1] + huffman_code[num-i-2]
elif(isinstance(huffman_code[num-i-2], list)):
complete_code = huffman_code[num-i-2] + [huffman_code[num-i-1]]
elif(isinstance(huffman_code[num-i-1], list)):
complete_code = huffman_code[num-i-1] + [huffman_code[num-i-2]]
else:
complete_code = [huffman_code[num-i-2], huffman_code[num-i-1]]
huffman_code = huffman_code[0:(len(huffman_code)-2)]
huffman_code.insert(position, complete_code)
huffman_code[0] = ['0' + symbol for symbol in huffman_code[0]]
huffman_code[1] = ['1' + symbol for symbol in huffman_code[1]]
if(len(huffman_code[1]) == 0):
huffman_code[1] = '1'
count = 0
final_code = ['']*num
for i in range(2):
for j in range(len(huffman_code[i])):
final_code[count] = huffman_code[i][j]
count += 1
final_code = sorted(final_code, key=len)
return final_code
string = input("Enter the string to compute Huffman Code: ")
freq = {}
for c in string:
if c in freq:
freq[c] += 1
else:
freq[c] = 1
freq = sorted(freq.items(), key=lambda x: x[1], reverse=True)
length = len(string)
probabilities = [float("{:.2f}".format(frequency[1]/length)) for frequency in freq]
probabilities = sorted(probabilities, reverse=True)
huffmanClassObject = HuffmanCode(probabilities)
P = probabilities
huffman_code = huffmanClassObject.compute_code()
print(' Char | Huffman code ')
print('----------------------')
for id,char in enumerate(freq):
if huffman_code[id]=='':
print(' %-4r |%12s' % (char[0], 1))
continue
print(' %-4r |%12s' % (char[0], huffman_code[id]))
huffmanClassObject.characteristics_huffman_code(huffman_code)