/** * @file * @brief Implementation of the [Selection * sort](https://en.wikipedia.org/wiki/Selection_sort) * implementation using recursion * @details * C++ program to sort an array using a recursive selection sort algorithm * @author [Tushar Khanduri](https://github.com/Tushar-K24) */ #include /// for std::is_sorted #include /// for assert #include /// for std::swap and io operations #include /// for std::vector /** * @namespace sorting * @breif Sorting algorithms */ namespace sorting { /** * @namespace selection_sort_recursive * @brief Functions for the [Selection * sort](https://en.wikipedia.org/wiki/Selection_sort) * implementation using recursion */ namespace find_min_index { /** * @brief The main function finds the index of the minimum element * @tparam T type of array * @param in_arr array whose minimum element is to be returned * @param current_position position/index from where the in_arr starts * @returns index of the minimum element */ template uint64_t findMinIndex(std::vector &in_arr, uint64_t current_position = 0) { if (current_position + 1 == in_arr.size()) { return current_position; } uint64_t answer = findMinIndex(in_arr, current_position + 1); if (in_arr[current_position] < in_arr[answer]) { answer = current_position; } return answer; } } // namespace find_min_index namespace selection_sort_recursive { /** * @brief The main function implements Selection sort * @tparam T type of array * @param in_arr array to be sorted, * @param current_position position/index from where the in_arr starts * @returns void */ template void selectionSortRecursive(std::vector &in_arr, uint64_t current_position = 0) { if (current_position == in_arr.size()) { return; } uint64_t min_element_idx = find_min_index::findMinIndex(in_arr, current_position); if (min_element_idx != current_position) { std::swap(in_arr[min_element_idx], in_arr[current_position]); } selectionSortRecursive(in_arr, current_position + 1); } } // namespace selection_sort_recursive } // namespace sorting /** * @brief Self-test implementations * @returns void */ static void test() { // 1st test // [1, 0, 2, 1] return [0, 1, 1, 2] std::vector array1 = {0, 1, 1, 2}; std::cout << "Test 1... "; sorting::selection_sort_recursive::selectionSortRecursive(array1); assert(std::is_sorted(std::begin(array1), std::end(array1))); std::cout << "passed" << std::endl; // 2nd test // [1, 0, 0, 1, 1, 0, 2, 1] return [0, 0, 0, 1, 1, 1, 1, 2] std::vector array2 = {1, 0, 0, 1, 1, 0, 2, 1}; std::cout << "Test 2... "; sorting::selection_sort_recursive::selectionSortRecursive(array2); assert(std::is_sorted(std::begin(array2), std::end(array2))); std::cout << "passed" << std::endl; // 3rd test // [1, 1, 0, 0, 1, 2, 2, 0, 2, 1] return [0, 0, 0, 1, 1, 1, 1, 2, 2, 2] std::vector array3 = {1, 1, 0, 0, 1, 2, 2, 0, 2, 1}; std::cout << "Test 3... "; sorting::selection_sort_recursive::selectionSortRecursive(array3); assert(std::is_sorted(std::begin(array3), std::end(array3))); std::cout << "passed" << std::endl; // 4th test // [2, 2, 2, 0, 0, 1, 1] return [0, 0, 1, 1, 2, 2, 2] std::vector array4 = {2, 2, 2, 0, 0, 1, 1}; std::cout << "Test 4... "; sorting::selection_sort_recursive::selectionSortRecursive(array4); assert(std::is_sorted(std::begin(array4), std::end(array4))); std::cout << "passed" << std::endl; } /** * @brief Main function * @returns 0 on exit */ int main() { test(); // execute the test return 0; }