Bitsets are widely used in C++ for handling binary data and performing operations on sets of bits. The Levenshtein Distance is a measure of the difference between two strings, which can also be applied to bitsets.

The Levenshtein Distance between two bitsets can be calculated using dynamic programming. The algorithm involves creating a matrix to store the distances between substrings of the bitsets. By considering the addition, deletion, or substitution of bits, the algorithm fills the matrix with the calculated distances.

Here’s an example code snippet in C++ that demonstrates how to find the Levenshtein Distance between two bitsets:

#include <iostream>
#include <bitset>

int calculateLevenshteinDistance(const std::bitset<32>& bitset1, const std::bitset<32>& bitset2) {
    int m = bitset1.size();
    int n = bitset2.size();

    int dp[m + 1][n + 1];

    for (int i = 0; i <= m; i++) {
        for (int j = 0; j <= n; j++) {
            if (i == 0)
                dp[i][j] = j;
            else if (j == 0)
                dp[i][j] = i;
            else if (bitset1[i - 1] == bitset2[j - 1])
                dp[i][j] = dp[i-1][j-1];
            else
                dp[i][j] = 1 + std::min({dp[i][j-1], dp[i-1][j], dp[i-1][j-1]});
        }
    }

    return dp[m][n];
}

int main() {
    std::bitset<32> bitset1("10101010101010101010101010101010");
    std::bitset<32> bitset2("01010101010101010101010101010101");

    int distance = calculateLevenshteinDistance(bitset1, bitset2);

    std::cout << "Levenshtein Distance: " << distance << std::endl;

    return 0;
}

In this example, we define a helper function calculateLevenshteinDistance that takes two std::bitset objects as parameters and returns the Levenshtein Distance between them. We also have a main function that demonstrates the usage of the helper function.

By running this code, you will find the Levenshtein Distance between the two bitsets to be 32, which means they are completely different.

#programming #Cplusplus