Jubix-pixel/sorting_algorithms

Sorting Algorithms and Big O Notation

• Sorting algorithms & Big O

In this project, I implemented twelve different sorting algorithms.

Tests ✔️

• tests: Folder of test files.

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); |

• deck.h: Header file containing definitions and prototypes for all types

and functions written for the task 1000-sort_deck.c.

Data Structures:

typedef enum kind_e

{

	SPADE = 0,

	HEART,

	CLUB,

	DIAMOND

} kind_t;



typedef struct card_s

{

	const char *value;

	const kind_t kind;

} card_t;



typedef struct deck_node_s

{

	const card_t *card;

	struct deck_node_s *prev;

	struct deck_node_s *next;

} deck_node_t;

Function Prototype:

| File | Prototype |

| ------------------ | ------------------------------------- |

| 1000-deck_node.c | void sort_deck(deck_node_t **deck); |

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.