Sorting Algorithms

AIM 🌻

• At least four different sorting algorithms
• What is the Big O notation, and how to evaluate the time complexity of an algorithm
• How to select the best sorting algorithm for a given input
• What is a stable sorting algorithm

Helper Files 🙌

• print_array.c: C function that prints an array of integers.
• print_list.c: C function that prints a listint_t doubly-linked list.

Header Files 📁

• sort.h: Header file containing definitions and prototypes for all types and functions written for the project.

Data Structure:

typedef struct listint_s
{
	const int n;
	struct listint_s *prev;
	struct listint_s *next;
} listint_t;

Function Prototypes:

File	Prototype
print_array.c	void print_array(const int *array, size_t size)
print_list.c	void print_list(const listint_t *list)
0-bubble_sort.c	void bubble_sort(int *array, size_t size);
1-insertion_sort_list.c	void insertion_sort_list(listint_t **list);
2-selection-sort.c	void selection_sort(int *array, size_t size);
3-quick_sort.c	void quick_sort(int *array, size_t size);
100-shell_sort.c	void shell_sort(int *array, size_t size);
101-cocktail_sort_list.c	void cocktail_sort_list(listint_t **list);
102-counting_sort.c	void counting_sort(int *array, size_t size);
103-merge_sort.c	void merge_sort(int *array, size_t size);
104-heap_sort.c	void heap_sort(int *array, size_t size);
105-radix_sort.c	void radix_sort(int *array, size_t size);
106-bitonic_sort.c	void bitonic_sort(int *array, size_t size);
107-quick_sort_hoare.c	void quick_sort_hoare(int *array, size_t size);

Tasks 📃

• 0. Bubble sort

  • 0-bubble_sort.c: C function that sorts an array of integers in ascending order using the Bubble Sort algorithm.
  • Prints the array after each swap.
  • 0-O: Text file containing the best, average, and worst case time complexities of the Bubble Sort algorithm, one per line.

• 1. Insertion sort

  • 1-insertion_sort_list.c: C function that sorts a listint_t doubly-linked list of integers in ascending order using the Insertion Sort algorithm.
  • Prints the list after each swap.
  • 1-O: Text file containing the best, average, and worst case time complexities of the Insertion Sort algorithm, one per line.

• 2. Selection sort

  • 2-selection_sort.c: C function that sorts an array of integers in ascending order using the Selection Sort algorithm.
  • Prints the array after each swap.
  • 2-O: Text file containing the best, average, and worst case time complexities of the Selection Sort algorithm, one per line.

• 3. Quick sort

  • 3-quick_sort.c: C function that sorts an array of integers in ascending order using the Quick Sort algorithm.
  • Implements the Lomuto partition scheme.
  • Always uses the last element of the partition being sorted as the pivot.
  • Prints the array after each swap.
  • 3-O: Text file containing the best, average, and worst case time complexities of the Quick Sort Lomuto Partition scheme algorithm, one per line.

• 4. Shell sort - Knuth Sequence

  • 100-shell_sort.c: C function that sorts an array of integers in ascending order using the Shell sort algorithm.
  • Implements the Knuth interval sequence.
  • Prints the array each time the interval is decreased.

• 5. Cocktail shaker sort

  • 101-cocktail_sort_list.c: C function that sorts a listint_t doubly-linked list of integers in ascending order using the Cocktail Shaker Sort algorithm.
  • Prints the list after each swap.
  • 101-O: Text file containing the best, average, and worst case time complexities of the Cocktail Shaker Sort algorithm, one per line.

• 6. Counting sort

  • 102-counting_sort.c: C function that sorts an array of integers in ascending order using the Counting Sort algorithm.
  • Assumes that the array will only contain numbers >= 0.
  • Prints the counting array after it has been initialized.
  • 102-O: Text file containing the best, average, and worst case time complexities of the Counting Sort algorithm, one per line.

• 7. Merge sort

  • 103-merge_sort.c: C function that sorts an array of integers in ascending order using the Merge Sort algorithm.
  • Implements the top-down Merge Sort algorithm.
    • When an array is divided, the size of the left subarray is always less than or equal to the size of the right subarray.
    • Always sorts the left subarray before the right one.
  • Prints subarrays each time they are merged.
  • 103-O: Text file containing the best, average, and worst case time complexities of the Merge Sort algorithm, one per line.

• 8. Heap sort

  • 104-heap_sort.c: C function that sorts an array of integers in ascending order using the Heap Sort algorithm.
  • Implements the sift-down Heap Sort algorithm.
  • Prints the array after each swap.
  • 104-O: Text file containing the best, average, and worst case time complexiites of the Heap Sort algorithm, one per line.

• 9. Radix sort

  • 105-radix_sort.c: C function that sorts an array of integers in ascending order using the Radix Sort algorithm.
  • Implements the Least-Significant-Digit (LSD) Radix Sort algorithm.
  • Assumes that the array will only contain numbers >= 0.
  • Prints the array for each significant digit increase.
  • 105-O: Text file containing the best, average, and worst case time complexities of the Radix Sort algorithm, one per line.

• 10. Bitonic sort

  • 106-bitonic_sort.c: C function that sorts an array of integers in ascending order using the Bitonic Sort algorithm.
  • Assumes that size is a power of 2 (ie. size can be expressed as 2^k where k >= 0).
  • Prints subarrays each time they are merged.
  • 106-O: Text file containing the best, average, and worst case time complexities of the Bitonic Sort algorithm, one per line.

• 11. Quick Sort - Hoare Partition scheme

  • 107-quick_sort_hoare.c: C function that sorts an array of integers in ascending order using the Quick Sort algorithm.
  • Implements the Hoare partition scheme.
  • Always uses the last elemement of the partition being sorted as the pivot.
  • Prints the array after each swap.
  • 107-O: Text file containing the best, average, and worst case time complexities of the Quick Sort Hoare Partition cheme algorithm, one per line.

• 12. Dealer

  • 1000-sort_deck.c: C function that sorts a deck_node_t doubly-linked list deck of cards.
  • Assumes that there are exactly 52 elements in the doubly-linked list.
  • Orders the deck from spades to diamonds and from aces to kings.