/**
* @file
* @author [Dhruv Pasricha](https://github.com/DhruvPasricha)
* @brief [Selection Sort](https://en.wikipedia.org/wiki/Selection_sort)
* implementation using recursion.
*/
#include <assert.h> /// for assert
#include <stdio.h> /// for IO operations
#include <stdlib.h> /// for dynamic memory allocation
#include <time.h> /// for random numbers generation
#include <inttypes.h> /// for uint8_t, int8_t
/**
* @brief Swapped two numbers using pointer
* @param first pointer of first number
* @param second pointer of second number
*/
void swap(int8_t *first, int8_t *second)
{
int8_t temp = *first;
*first = *second;
*second = temp;
}
/**
* @brief Returns the index having minimum value using recursion
* @param arr array to be sorted
* @param size size of array
* @return min_index index of an element having a minimum value
*/
uint8_t findIndex(const int8_t *arr, const uint8_t size)
{
if (size == 1)
{
return 0;
}
// marking recursive call to reach starting element
uint8_t min_index = findIndex(arr, size - 1);
if (arr[size - 1] < arr[min_index])
{
min_index = size - 1;
}
return min_index;
}
/**
* @brief Selection Sort algorithm implemented using recursion
* @param arr array to be sorted
* @param size size of the array
* @returns void
*/
void selectionSort(int8_t *arr, const uint8_t size)
{
if (size <= 1)
{
return;
}
/* findIndex(arr, size) returned the index having min value*/
uint8_t min_index = findIndex(arr, size);
/* arr[min_index] is the minimum value in the array*/
if (min_index != 0)
{
swap(&arr[0], &arr[min_index]);
}
/*sorted the remaining array recursively*/
selectionSort(arr + 1, size - 1);
}
/**
* @brief Self-test implementations
* @returns void
*/
static void test()
{
const uint8_t size = 10;
int8_t *arr = (int8_t *)calloc(size, sizeof(int8_t));
/* generate size random numbers from 0 to 100 */
for (uint8_t i = 0; i < size; i++)
{
arr[i] = rand() % 100;
}
selectionSort(arr, size);
for (uint8_t i = 0; i < size - 1; ++i)
{
assert(arr[i] <= arr[i + 1]);
}
free(arr);
}
/**
* @brief Main function
* @returns 0 on exit
*/
int main()
{
/* Intializes random number generator */
srand(time(NULL));
test(); // run self-test implementations
return 0;
}