Merge pull request #1298 from AlaaElbouhdidi/master

Add a new sort algorithm, Sort/BitonicSort

Sorts/BitonicSort.java

@@ -0,0 +1,88 @@
+package Sorts;
+
+/* Java program for Bitonic Sort. Note that this program
+works only when size of input is a power of 2. */
+public class BitonicSort
+{
+    /* The parameter dir indicates the sorting direction,
+    ASCENDING or DESCENDING; if (a[i] > a[j]) agrees
+    with the direction, then a[i] and a[j] are
+    interchanged. */
+    void compAndSwap(int a[], int i, int j, int dir)
+    {
+        if ( (a[i] > a[j] && dir == 1) ||
+                (a[i] < a[j] && dir == 0))
+        {
+            // Swapping elements
+            int temp = a[i];
+            a[i] = a[j];
+            a[j] = temp;
+        }
+    }
+
+    /* It recursively sorts a bitonic sequence in ascending
+    order, if dir = 1, and in descending order otherwise
+    (means dir=0). The sequence to be sorted starts at
+    index position low, the parameter cnt is the number
+    of elements to be sorted.*/
+    void bitonicMerge(int a[], int low, int cnt, int dir)
+    {
+        if (cnt>1)
+        {
+            int k = cnt/2;
+            for (int i=low; i<low+k; i++)
+                compAndSwap(a,i, i+k, dir);
+            bitonicMerge(a,low, k, dir);
+            bitonicMerge(a,low+k, k, dir);
+        }
+    }
+
+    /* This funcion first produces a bitonic sequence by
+    recursively sorting its two halves in opposite sorting
+    orders, and then calls bitonicMerge to make them in
+    the same order */
+    void bitonicSort(int a[], int low, int cnt, int dir)
+    {
+        if (cnt>1)
+        {
+            int k = cnt/2;
+
+            // sort in ascending order since dir here is 1
+            bitonicSort(a, low, k, 1);
+
+            // sort in descending order since dir here is 0
+            bitonicSort(a,low+k, k, 0);
+
+            // Will merge wole sequence in ascending order
+            // since dir=1.
+            bitonicMerge(a, low, cnt, dir);
+        }
+    }
+
+    /*Caller of bitonicSort for sorting the entire array
+    of length N in ASCENDING order */
+    void sort(int a[], int N, int up)
+    {
+        bitonicSort(a, 0, N, up);
+    }
+
+    /* A utility function to print array of size n */
+    static void printArray(int arr[])
+    {
+        int n = arr.length;
+        for (int i=0; i<n; ++i)
+            System.out.print(arr[i] + " ");
+        System.out.println();
+    }
+
+    public static void main(String args[])
+    {
+        int a[] = {3, 7, 4, 8, 6, 2, 1, 5};
+        int up = 1;
+        BitonicSort ob = new BitonicSort();
+        ob.sort(a, a.length,up);
+        System.out.println("\nSorted array");
+        printArray(a);
+    }
+}
+