karatsuba multiplier

created Karatsuba Multiplier in Python

Author: ayushgupta98

karatsuba_multiplication.py

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+from math import ceil, floor
+
+def karatsuba_multiplier(x,y):
+    if x < 10 and y < 10: # recussion termination condition
+        return x*y
+
+    n = max(len(str(x)), len(str(y)))
+    m = ceil(n/2)   
+
+    a  = floor(x / 10**m)
+    b = x % (10**m)
+
+    c = floor(y / 10**m)
+    d = y % (10**m)
+
+    #recursive calls
+    ac = karatsuba_multiplier(a,c)
+    bd = karatsuba_multiplier(b,d)
+    guass_trick = karatsuba_multiplier(a+b, c+d) - ac - bd
+
+    return int(ac*(10**(m*2)) + guass_trick*(10**m) + bd)
+
+
+
+
+
+a = int(input("Enter first number: "))
+b = int(input("Enter second number: "))
+
+result = karatsuba_multiplier(a,b)
+print(result)
+print(a*b)
+
+if a*b == result:
+    print("Correct")
+else:
+    print("Incorrect")
+