New sorts

sorting/bitonic_sort.c

@@ -0,0 +1,64 @@
+#include <stdio.h>
+
+// Function to compare and swap elements
+void compareAndSwap(int *x, int *y, int order) {
+    if ((order == 1 && *x > *y) || (order == 0 && *x < *y)) {
+        int temp = *x;
+        *x = *y;
+        *y = temp;
+    }
+}
+
+// Function to perform bitonic merge
+void bitonicMerge(int arr[], int low, int cnt, int order) {
+    if (cnt > 1) {
+        int k = cnt / 2;
+        for (int i = low; i < low + k; i++) {
+            compareAndSwap(&arr[i], &arr[i + k], order);
+        }
+        bitonicMerge(arr, low, k, order);      // First half
+        bitonicMerge(arr, low + k, k, order);  // Second half
+    }
+}
+
+// Function to sort a bitonic sequence
+void bitonicSort(int arr[], int low, int cnt, int order) {
+    if (cnt > 1) {
+        int k = cnt / 2;
+        // Sort first half in ascending order
+        bitonicSort(arr, low, k, 1);
+        // Sort second half in descending order
+        bitonicSort(arr, low + k, k, 0);
+        // Merge the whole sequence in order
+        bitonicMerge(arr, low, cnt, order);
+    }
+}
+
+// Helper function to start the sorting process
+void sort(int arr[], int n, int order) {
+    bitonicSort(arr, 0, n, order);
+}
+
+// Function to print the array
+void printArray(int arr[], int size) {
+    for (int i = 0; i < size; i++)
+        printf("%d ", arr[i]);
+    printf("\n");
+}
+
+// Main function to test Bitonic Sort
+int main() {
+    int arr[] = {12, 4, 7, 9, 6, 3, 8, 10};
+    int n = sizeof(arr) / sizeof(arr[0]);
+
+    printf("Original array: ");
+    printArray(arr, n);
+
+    // Sort the array in ascending order
+    sort(arr, n, 1);
+
+    printf("Sorted array: ");
+    printArray(arr, n);
+
+    return 0;
+}

sorting/threeway_merge_sort.c

@@ -0,0 +1,121 @@
+#include <stdio.h>
+#include <stdlib.h>
+
+// Function to merge three sorted subarrays
+void merge(int arr[], int left, int mid1, int mid2, int right) {
+    int i, j, k;
+    int n1 = mid1 - left + 1; // Size of the first subarray
+    int n2 = mid2 - mid1;     // Size of the second subarray
+    int n3 = right - mid2;    // Size of the third subarray
+
+    // Temporary arrays
+    int *L = (int*)malloc(n1 * sizeof(int));
+    int *M = (int*)malloc(n2 * sizeof(int));
+    int *R = (int*)malloc(n3 * sizeof(int));
+
+    // Copy data to temporary arrays
+    for (i = 0; i < n1; i++)
+        L[i] = arr[left + i];
+    for (j = 0; j < n2; j++)
+        M[j] = arr[mid1 + 1 + j];
+    for (k = 0; k < n3; k++)
+        R[k] = arr[mid2 + 1 + k];
+
+    // Merge the temporary arrays back into arr[]
+    i = 0; j = 0; k = 0;
+    int idx = left;
+
+    while (i < n1 && j < n2 && k < n3) {
+        if (L[i] <= M[j] && L[i] <= R[k]) {
+            arr[idx++] = L[i++];
+        } else if (M[j] <= L[i] && M[j] <= R[k]) {
+            arr[idx++] = M[j++];
+        } else {
+            arr[idx++] = R[k++];
+        }
+    }
+
+    // Merge remaining elements of L[]
+    while (i < n1 && j < n2) {
+        if (L[i] <= M[j]) {
+            arr[idx++] = L[i++];
+        } else {
+            arr[idx++] = M[j++];
+        }
+    }
+
+    while (j < n2 && k < n3) {
+        if (M[j] <= R[k]) {
+            arr[idx++] = M[j++];
+        } else {
+            arr[idx++] = R[k++];
+        }
+    }
+
+    while (i < n1 && k < n3) {
+        if (L[i] <= R[k]) {
+            arr[idx++] = L[i++];
+        } else {
+            arr[idx++] = R[k++];
+        }
+    }
+
+    // Copy remaining elements of L[]
+    while (i < n1) {
+        arr[idx++] = L[i++];
+    }
+
+    // Copy remaining elements of M[]
+    while (j < n2) {
+        arr[idx++] = M[j++];
+    }
+
+    // Copy remaining elements of R[]
+    while (k < n3) {
+        arr[idx++] = R[k++];
+    }
+
+    // Free temporary arrays
+    free(L);
+    free(M);
+    free(R);
+}
+
+// Recursive function to perform 3-way MergeSort
+void mergeSort3Way(int arr[], int left, int right) {
+    if (left < right) {
+        int mid1 = left + (right - left) / 3;
+        int mid2 = mid1 + (right - left) / 3 + 1;
+
+        // Recursively sort three subarrays
+        mergeSort3Way(arr, left, mid1);
+        mergeSort3Way(arr, mid1 + 1, mid2);
+        mergeSort3Way(arr, mid2 + 1, right);
+
+        // Merge the sorted subarrays
+        merge(arr, left, mid1, mid2, right);
+    }
+}
+
+// Function to print the array
+void printArray(int arr[], int size) {
+    for (int i = 0; i < size; i++)
+        printf("%d ", arr[i]);
+    printf("\n");
+}
+
+// Main function to test 3-way MergeSort
+int main() {
+    int arr[] = {12, 4, 7, 9, 6, 3, 8, 10};
+    int n = sizeof(arr) / sizeof(arr[0]);
+
+    printf("Original array: ");
+    printArray(arr, n);
+
+    mergeSort3Way(arr, 0, n - 1); // Sort the array
+
+    printf("Sorted array: ");
+    printArray(arr, n);
+
+    return 0;
+}

sorting/tim_sort.c

@@ -0,0 +1,118 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+
+#define RUN 32 // Size of the run
+
+// Function to perform insertion sort on a subarray
+void insertionSort(int arr[], int left, int right) {
+    for (int i = left + 1; i <= right; i++) {
+        int key = arr[i]; // Element to be inserted
+        int j = i - 1;
+        
+        // Move elements of arr[left..i-1] that are greater than key
+        // to one position ahead of their current position
+        while (j >= left && arr[j] > key) {
+            arr[j + 1] = arr[j];
+            j--;
+        }
+        arr[j + 1] = key; // Place the key in its correct position
+    }
+}
+
+// Function to merge two sorted subarrays
+void merge(int arr[], int left, int mid, int right) {
+    int i, j, k;
+    int n1 = mid - left + 1; // Size of left subarray
+    int n2 = right - mid;    // Size of right subarray
+
+    // Create temporary arrays for left and right subarrays
+    int *L = (int*)malloc(n1 * sizeof(int));
+    int *R = (int*)malloc(n2 * sizeof(int));
+
+    // Copy data to temporary arrays L[] and R[]
+    for (i = 0; i < n1; i++)
+        L[i] = arr[left + i];
+    for (j = 0; j < n2; j++)
+        R[j] = arr[mid + 1 + j];
+
+    // Merge the temporary arrays back into arr[left..right]
+    i = 0; 
+    j = 0; 
+    k = left;
+
+    // Merge while both subarrays have elements
+    while (i < n1 && j < n2) {
+        if (L[i] <= R[j]) {
+            arr[k] = L[i]; // If the current element of L[] is smaller
+            i++;
+        } else {
+            arr[k] = R[j]; // If the current element of R[] is smaller
+            j++;
+        }
+        k++;
+    }
+
+    // Copy remaining elements of L[], if any
+    while (i < n1) {
+        arr[k] = L[i];
+        i++;
+        k++;
+    }
+
+    // Copy remaining elements of R[], if any
+    while (j < n2) {
+        arr[k] = R[j];
+        j++;
+        k++;
+    }
+
+    // Free the temporary arrays
+    free(L);
+    free(R);
+}
+
+// Main TimSort function
+void timSort(int arr[], int n) {
+    // Step 1: Sort individual subarrays of size RUN
+    for (int start = 0; start < n; start += RUN) {
+        int end = (start + RUN - 1 < n - 1) ? (start + RUN - 1) : (n - 1);
+        insertionSort(arr, start, end); // Sort the run using insertion sort
+    }
+
+    // Step 2: Merge the sorted runs
+    for (int size = RUN; size < n; size *= 2) { // Double the size of the run
+        for (int left = 0; left < n; left += 2 * size) {
+            int mid = left + size - 1; // Ending index of the left subarray
+            int right = ((left + 2 * size - 1) < (n - 1)) ? (left + 2 * size - 1) : (n - 1); // Ending index of the right subarray
+
+            // Merge the two subarrays if valid
+            if (mid < right) {
+                merge(arr, left, mid, right);
+            }
+        }
+    }
+}
+
+// Function to print the array
+void printArray(int arr[], int size) {
+    for (int i = 0; i < size; i++)
+        printf("%d ", arr[i]); // Print each element
+    printf("\n"); // New line after printing the array
+}
+
+// Main function to test the TimSort implementation
+int main() {
+    int arr[] = {5, 21, 7, 23, 19, 10, 1, 34, 0}; // Example array
+    int n = sizeof(arr) / sizeof(arr[0]); // Calculate number of elements in the array
+
+    printf("Original array: ");
+    printArray(arr, n); // Print the original array
+
+    timSort(arr, n); // Call TimSort on the array
+
+    printf("Sorted array: ");
+    printArray(arr, n); // Print the sorted array
+
+    return 0; // End of program
+}