Created
October 13, 2015 17:02
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Pseudocode for Karatsuba Multiplication Algorithm
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| procedure karatsuba(num1, num2) | |
| if (num1 < 10) or (num2 < 10) | |
| return num1*num2 | |
| /* calculates the size of the numbers */ | |
| m = max(size_base10(num1), size_base10(num2)) | |
| m2 = m/2 | |
| /* split the digit sequences about the middle */ | |
| high1, low1 = split_at(num1, m2) | |
| high2, low2 = split_at(num2, m2) | |
| /* 3 calls made to numbers approximately half the size */ | |
| z0 = karatsuba(low1,low2) | |
| z1 = karatsuba((low1+high1),(low2+high2)) | |
| z2 = karatsuba(high1,high2) | |
| return (z2*10^(2*m2))+((z1-z2-z0)*10^(m2))+(z0) |
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THank U