Create RadixSort.cpp

Computational Algorithms/RadixSort.cpp

@@ -0,0 +1,62 @@
+#include <iostream>
+using namespace std;
+
+// gets maximum elements in the array
+int getMax(int arr[], int n)
+{
+    int mx = arr[0];
+    for (int i = 1; i < n; i++)
+        if (arr[i] > mx)
+            mx = arr[i];
+    return mx;
+}
+
+// counting sort in the array passed through radix sort algorithms
+void countSort(int arr[], int n, int exp)
+{
+
+    int output[n];
+    int i, count[10] = { 0 };  // an array of length 10 to count the number of each digit in a particular position
+                               // for example, ones, tens etc.
+
+    for (i = 0; i < n; i++)    //updating the count array
+        count[(arr[i] / exp) % 10]++;
+
+    for (i = 1; i < 10; i++)    // cumulating the count at each position
+        count[i] += count[i - 1];
+
+    for (i = n - 1; i >= 0; i--) {           // sorting the array based on count array
+        output[count[(arr[i] / exp) % 10] - 1] = arr[i];    // the element is inputted into the output array based on the value in count array.
+        count[(arr[i] / exp) % 10]--;        // updating the count based on output.
+    }
+
+    for (i = 0; i < n; i++)
+        arr[i] = output[i];
+}
+
+void radixsort(int arr[], int n)        // a simple function that repeats the counting sort for every significant digit of the input
+{  
+    int m = getMax(arr, n);
+
+    for (int exp = 1; m / exp > 0; exp *= 10)   // the loop is executed as many times as the number of significant digits in maximum
+        countSort(arr, n, exp);
+}
+
+int main(){
+    int n;
+    cin >> n;
+    int x[n];
+
+    for(int i = 0; i < n; i++ ){          // input the array
+        cin >> x[i];
+    }
+
+
+    radixsort(x, n);
+    cout << "Sorted List:" << endl;
+    for (int i = 0; i<n ; i++){
+        cout << x[i] << " ";
+    }
+    cout << endl;
+    return 0;
+}