/**
* @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 <cassert> /// for assert
#include <iostream> /// 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;
}