/** * @file * @brief Implementation to * [Count number of bits to be flipped to convert A to B] * (https://www.geeksforgeeks.org/count-number-of-bits-to-be-flipped-to-convert-a-to-b/) * in an integer. * * @details * We are given two numbers A and B. Our task is to count the number of bits * needed to be flipped to convert A to B. * * Explanation: * * A = 01010 B = 10100 * As we can see, the bits of A that need to be flipped are 01010. * If we flipthese bits, we get 10100, which is B. * * Worst Case Time Complexity: O(log n) * Space complexity: O(1) * @author [Yash Raj Singh](https://github.com/yashrajyash) */ #include /// for assert #include /// for IO operations /** * @namespace bit_manipulation * @brief Bit manipulation algorithms */ namespace bit_manipulation { /** * @namespace count_bits_flip * @brief Functions for the [count bits * flip](https://www.geeksforgeeks.org/count-set-bits-in-an-integer/) * implementation */ namespace count_bits_flip { /** * @brief The main function implements count of bits flip required * @param A is the given number whose bits will be flipped to get number B * @param B is the given target number * @returns total number of bits needed to be flipped to convert A to B */ std::uint64_t countBitsFlip( std::int64_t A, std::int64_t B) { // int64_t is preferred over int so that // no Overflow can be there. int count = 0; // "count" variable is used to count number of bits flip of the // number A to form B in binary representation of number 'n' A = A ^ B; while (A) { A = A & (A - 1); count++; } return count; } } // namespace count_bits_flip } // namespace bit_manipulation /** * @brief Self-test implementations * @returns void */ static void test() { // A = 10, B = 20 return 4 assert(bit_manipulation::count_bits_flip::countBitsFlip(10, 20) == 4); // A = 20, B = 25 return 3 assert(bit_manipulation::count_bits_flip::countBitsFlip(20, 25) == 3); // A = 7, B = 10 return 3 assert(bit_manipulation::count_bits_flip::countBitsFlip(7, 10) == 3); // A = 17, B = 25 return 1 assert(bit_manipulation::count_bits_flip::countBitsFlip(17, 25) == 1); // A = 11, B = 8 return 2 assert(bit_manipulation::count_bits_flip::countBitsFlip(11, 8) == 2); // A = 21, B = 22 return 2 assert(bit_manipulation::count_bits_flip::countBitsFlip(21, 22) == 2); // A = 7, B = 786 return 5 assert(bit_manipulation::count_bits_flip::countBitsFlip(7, 786) == 5); std::cout << "All test cases successfully passed!" << std::endl; } /** * @brief Main function * @returns 0 on exit */ int main() { test(); // run self-test implementations return 0; }