Bubble sort recursion (#574)

* bubble sort by recursion

* updating DIRECTORY.md

* fix compile error

Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>

Author: realDuYuanChao

DIRECTORY.md

@@ -338,6 +338,7 @@
   * [Bogo Sort](https://github.com/TheAlgorithms/C/blob/master/sorting/bogo_sort.c)
   * [Bubble Sort](https://github.com/TheAlgorithms/C/blob/master/sorting/bubble_sort.c)
   * [Bubble Sort 2](https://github.com/TheAlgorithms/C/blob/master/sorting/bubble_sort_2.c)
+  * [Bubble Sort Recursion](https://github.com/TheAlgorithms/C/blob/master/sorting/bubble_sort_recursion.c)
   * [Bucket Sort](https://github.com/TheAlgorithms/C/blob/master/sorting/bucket_sort.c)
   * [Cocktail Sort](https://github.com/TheAlgorithms/C/blob/master/sorting/cocktail_sort.c)
   * [Comb Sort](https://github.com/TheAlgorithms/C/blob/master/sorting/comb_sort.c)

sorting/bubble_sort_recursion.c

@@ -0,0 +1,78 @@
+/**
+ * @file
+ * @brief [Bubble sort](https://en.wikipedia.org/wiki/Bubble_sort) algorithm
+ * implementation using recursion.
+ */
+#include <assert.h>
+#include <stdbool.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <time.h>
+
+/**
+ * Swapped two numbers using pointer
+ * @param first first pointer of first number
+ * @param second second pointer of second number
+ */
+void swap(int *first, int *second)
+{
+    int temp = *first;
+    *first = *second;
+    *second = temp;
+}
+
+/**
+ * Bubble sort algorithm implements using recursion
+ * @param arr array to be sorted
+ * @param size size of array
+ */
+void bubbleSort(int *arr, int size)
+{
+    if (size == 1)
+    {
+        return;
+    }
+    bool swapped = false;
+    for (int i = 0; i < size - 1; ++i)
+    {
+        if (arr[i] > arr[i + 1])
+        {
+            swap(arr + i, arr + i + 1);
+            swapped = true;
+        }
+    }
+    if (swapped)
+    {
+        bubbleSort(arr, size - 1);
+    }
+}
+
+/**
+ * Test function
+ */
+void test()
+{
+    const int size = 10;
+    int *arr = (int *)calloc(size, sizeof(int));
+
+    /* generate size random numbers from 0 to 100 */
+    for (int i = 0; i < size; i++)
+    {
+        arr[i] = rand() % 100;
+    }
+    bubbleSort(arr, size);
+    for (int i = 0; i < size - 1; ++i)
+    {
+        assert(arr[i] <= arr[i + 1]);
+    }
+    free(arr);
+}
+
+/** Driver Code */
+int main()
+{
+    /* Intializes random number generator */
+    srand(time(NULL));
+    test();
+    return 0;
+}