removed data redundency by huffman algorithm and made test cases along with analysis of algorithm and a readme.md

pydatastructs/huffman/Analysis.py

@@ -0,0 +1,97 @@
+import random
+
+
+def rand_codeword(n):  # function to generate a random n length codeword
+
+    word = ""
+    for i in range(n):
+        # give 0 or 1 as the ith bit in the codeword
+        temp = str(random.randint(0, 1))
+        word += temp
+    return word                             # n length codeword
+
+
+def BSC(x, p):                               # simulate the output of BSC channel
+    y = ""
+    for i in range(len(x)):
+        # generate a float b/w 0 and 1; if it is <= P(bitflip) then bitflip occurs
+        check = random.random()
+        if check <= p:
+            if x[i] == "1":                 # bitflip
+                y += "0"
+            else:
+                y += "1"
+        else:
+            y += x[i]                       # no bitflip
+    return y
+
+
+# Driver code starts here
+
+f = open("Results.txt", 'w')
+
+for i in range(6):
+    # parameters
+    N = 2000
+
+    n = int(input("n = "))
+    f.write("n = ")
+    f.write(str(n))
+    f.write("\n")
+    k = int(input("k = "))
+    f.write("k = ")
+    f.write(str(k))
+    f.write("\n")
+    p = float(input("p = "))
+    f.write("p = ")
+    f.write(str(p))
+    f.write("\n")
+
+    codeword_list = set()                       # set to store 2^k random codewords
+    # set ensures that there is no duplication
+    while len(codeword_list) < pow(2, k):
+        word = rand_codeword(n)
+    # generate 2^k random n length codewords and store them in the set
+        codeword_list.add(word)
+
+    Len = len(codeword_list)                    # cardinality of code C = 2^k
+    pOfEmin = 1
+    for c in  range (5):
+        E = 0
+        for i in range(N):
+            # pick a random codeword from the set as input to BSC
+            ip = random.choice(tuple(codeword_list))
+            y = BSC(ip, p)                               # y is output of BSC
+
+            j = 0
+            min = n                                     # variable to track minimun Hamming distance
+            word = ""                                   # codeword with minimum Hamming distance
+            for j in codeword_list:
+                dist = 0                                # initialising distance to be 0
+                for k in range(n):
+                    if y[k] != j[k]:
+                        dist += 1                         # incrementing distance when flipped bit is found
+                if dist < min:                            # updating min Hamming distance and estimate
+                    min = dist
+                    # word is the estimate; if it is not equal to the input, then E is incremented
+                    word = j
+            if word != ip:
+                E += 1
+
+        # No. of decoding errors
+        f.write("E = ")
+        f.write(str(E))
+        f.write("\n")
+
+        # P(error) for a random code C and BSC with parameters (n, k, p)
+        pOfE = E/N
+        if pOfE < pOfEmin:
+            pOfEmin = pOfE
+
+        f.write("P(Error) = ")
+        f.write(str(pOfE))
+        f.write("\n")
+
+    f.write("Minimum P(Error) = ")
+    f.write(str(pOfEmin))
+    f.write("\n\n")

pydatastructs/huffman/Decoded1.txt

@@ -0,0 +1,7 @@
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane 
+Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane Ananya Sane

pydatastructs/huffman/Decoded2.txt

@@ -0,0 +1 @@
+do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at do not go gentle into that good night old age should burn and rave at close of day rage rage against the dying of the light though wise men at