常用的内部排序算法

鷇韩2024-07-16 13:16

常用的内部排序算法

简单选择排序、直接插入排序和冒泡排序、折半插入排序、希尔排序算法、快速排序算法（递归和非递归）、堆排序

运行结果：

python

输入数据15,5,6,7,8,9,10

外链图片转存中...(img-60STknHj-1720750359076)

外链图片转存中...(img-QWNWapS5-1720750359078)

外链图片转存中...(img-fVhvkUVx-1720750359079)

C语言

输入数据8 6 80 50 40

外链图片转存中...(img-yKdnpElL-1720750359079)

外链图片转存中...(img-MlEA4ULs-1720750359080)

外链图片转存中...(img-D81R9SPg-1720750359080)

代码

Python代码

python 复制代码 
import tkinter as tk
from tkinter import ttk
class SortAlgorithms:
    def __init__(self):
        self.comparisons = 0
        self.moves = 0
    def reset_counters(self):
        self.comparisons = 0
        self.moves = 0
    def bubble_sort(self, arr):
        self.reset_counters()
        n = len(arr)
        for i in range(n):
            for j in range(0, n - i - 1):
                self.comparisons += 1
                if arr[j] > arr[j + 1]:
                    arr[j], arr[j + 1] = arr[j + 1], arr[j]
                    self.moves += 1
                    yield arr[:]
    def selection_sort(self, arr):
        self.reset_counters()
        n = len(arr)
        for i in range(n):
            min_idx = i
            for j in range(i + 1, n):
                self.comparisons += 1
                if arr[j] < arr[min_idx]:
                    min_idx = j
            arr[i], arr[min_idx] = arr[min_idx], arr[i]
            self.moves += 1
            yield arr[:]
    def insertion_sort(self, arr):
        self.reset_counters()
        for i in range(1, len(arr)):
            key = arr[i]
            j = i - 1
            while j >= 0 and key < arr[j]:
                self.comparisons += 1
                arr[j + 1] = arr[j]
                self.moves += 1
                j -= 1
                yield arr[:]
            arr[j + 1] = key
            self.moves += 1
            yield arr[:]
    def shell_sort(self, arr):
        self.reset_counters()
        n = len(arr)
        gap = n // 2
        while gap > 0:
            for i in range(gap, n):
                temp = arr[i]
                j = i
                while j >= gap and arr[j - gap] > temp:
                    self.comparisons += 1
                    arr[j] = arr[j - gap]
                    self.moves += 1
                    j -= gap
                    yield arr[:]
                arr[j] = temp
                self.moves += 1
                yield arr[:]
            gap //= 2
    def quick_sort(self, arr):
        self.reset_counters()
        def _quick_sort(items, low, high):
            if low < high:
                pivot_index = self.partition(items, low, high)
                yield from _quick_sort(items, low, pivot_index)
                yield from _quick_sort(items, pivot_index + 1, high)
        yield from _quick_sort(arr, 0, len(arr) - 1)
    def partition(self, items, low, high):
        pivot = items[(low + high) // 2]
        left = low
        right = high
        while True:
            while items[left] < pivot:
                left += 1
                self.comparisons += 1
            while items[right] > pivot:
                right -= 1
                self.comparisons += 1
            if left >= right:
                return right
            items[left], items[right] = items[right], items[left]
            self.moves += 1
    def heap_sort(self, arr):
        self.reset_counters()
        n = len(arr)
        def heapify(arr, n, i):
            largest = i
            l = 2 * i + 1
            r = 2 * i + 2
            if l < n and arr[largest] < arr[l]:
                largest = l
            if r < n and arr[largest] < arr[r]:
                largest = r
            if largest != i:
                arr[i], arr[largest] = arr[largest], arr[i]
                self.moves += 1
                heapify(arr, n, largest)
        for i in range(n // 2, -1, -1):
            heapify(arr, n, i)
            yield arr[:]
        for i in range(n - 1, 0, -1):
            arr[i], arr[0] = arr[0], arr[i]
            self.moves += 1
            heapify(arr, i, 0)
            yield arr[:]
class App:
    def __init__(self, root):
        self.root = root
        self.root.title("内部排序算法模拟系统")
        self.sort_algorithms = SortAlgorithms()
        self.create_widgets()
    def create_widgets(self):
        self.frame = ttk.Frame(self.root, padding="10")
        self.frame.grid(row=0, column=0, sticky=(tk.W, tk.E, tk.N, tk.S))
        ttk.Label(self.frame, text="输入数据 (用逗号隔开)").grid(row=0, column=0, padx=5, pady=5)
        self.data_entry = ttk.Entry(self.frame)
        self.data_entry.grid(row=0, column=1, padx=5, pady=5)
        ttk.Label(self.frame, text="选择排序算法").grid(row=1, column=0, padx=5, pady=5)
        self.algorithm = ttk.Combobox(self.frame, values=[
            "冒泡排序", "选择排序", "插入排序", "希尔排序", "快速排序", "堆排序"
        ])
        self.algorithm.grid(row=1, column=1, padx=5, pady=5)
        self.algorithm.current(0)
        self.sort_btn = ttk.Button(self.frame, text="开始排序", command=self.sort_data)
        self.sort_btn.grid(row=2, column=0, columnspan=2, padx=5, pady=5)
        self.result_text = tk.Text(self.frame, height=15, width=50)
        self.result_text.grid(row=3, column=0, columnspan=2, padx=5, pady=5)
    def sort_data(self):
        data_str = self.data_entry.get()
        data = list(map(int, data_str.split(',')))
        algorithm = self.algorithm.get()
        self.result_text.delete(1.0, tk.END)
        self.result_text.insert(tk.END, f"原始数据: {data}\n")
        if algorithm == "冒泡排序":
            generator = self.sort_algorithms.bubble_sort(data)
        elif algorithm == "选择排序":
            generator = self.sort_algorithms.selection_sort(data)
        elif algorithm == "插入排序":
            generator = self.sort_algorithms.insertion_sort(data)
        elif algorithm == "希尔排序":
            generator = self.sort_algorithms.shell_sort(data)
        elif algorithm == "快速排序":
            generator = self.sort_algorithms.quick_sort(data)
        elif algorithm == "堆排序":
            generator = self.sort_algorithms.heap_sort(data)
        for sorted_data in generator:
            self.result_text.insert(tk.END, f"排序过程: {sorted_data}\n")
        comparisons = self.sort_algorithms.comparisons
        moves = self.sort_algorithms.moves
        self.result_text.insert(tk.END, f"\n排序结果: {data}\n")
        self.result_text.insert(tk.END, f"比较次数: {comparisons}\n")
        self.result_text.insert(tk.END, f"移动次数: {moves}\n")
if __name__ == "__main__":
    root = tk.Tk()
    app = App(root)
root.mainloop()

C语言代码

c 复制代码 
#include <stdio.h>
#include <stdlib.h>
int comparisons = 0;
int moves = 0;
void reset_counters() {
    comparisons = 0;
    moves = 0;
}
void print_array(int arr[], int size) {
    for (int i = 0; i < size; i++) {
        printf("%d ", arr[i]);
    }
    printf("\n");
}
void bubble_sort(int arr[], int size) {
    reset_counters();
    for (int i = 0; i < size - 1; i++) {
        for (int j = 0; j < size - i - 1; j++) {
            comparisons++;
            if (arr[j] > arr[j + 1]) {
                int temp = arr[j];
                arr[j] = arr[j + 1];
                arr[j + 1] = temp;
                moves++;
                print_array(arr, size);
            }
        }
    }
}
void selection_sort(int arr[], int size) {
    reset_counters();
    for (int i = 0; i < size - 1; i++) {
        int min_idx = i;
        for (int j = i + 1; j < size; j++) {
            comparisons++;
            if (arr[j] < arr[min_idx]) {
                min_idx = j;
            }
        }
        int temp = arr[min_idx];
        arr[min_idx] = arr[i];
        arr[i] = temp;
        moves++;
        print_array(arr, size);
    }
}
void insertion_sort(int arr[], int size) {
    reset_counters();
    for (int i = 1; i < size; i++) {
        int key = arr[i];
        int j = i - 1;
        while (j >= 0 && arr[j] > key) {
            comparisons++;
            arr[j + 1] = arr[j];
            moves++;
            j--;
            print_array(arr, size);
        }
        arr[j + 1] = key;
        moves++;
        print_array(arr, size);
    }
}
void shell_sort(int arr[], int size) {
    reset_counters();
    for (int gap = size / 2; gap > 0; gap /= 2) {
        for (int i = gap; i < size; i++) {
            int temp = arr[i];
            int j;
            for (j = i; j >= gap && arr[j - gap] > temp; j -= gap) {
                comparisons++;
                arr[j] = arr[j - gap];
                moves++;
                print_array(arr, size);
            }
            arr[j] = temp;
            moves++;
            print_array(arr, size);
        }
    }
}
void quick_sort(int arr[], int left, int right) {
    if (left < right) {
        int i = left, j = right, pivot = arr[left];
        while (i < j) {
            while (i < j && arr[j] >= pivot) {
                comparisons++;
                j--;
            }
            if (i < j) {
                arr[i++] = arr[j];
                moves++;
                print_array(arr, right - left + 1);
            }
            while (i < j && arr[i] <= pivot) {
                comparisons++;
                i++;
            }
            if (i < j) {
                arr[j--] = arr[i];
                moves++;
                print_array(arr, right - left + 1);
            }
        }
        arr[i] = pivot;
        moves++;
        print_array(arr, right - left + 1);
        quick_sort(arr, left, i - 1);
        quick_sort(arr, i + 1, right);
    }
}
void heapify(int arr[], int size, int i) {
    int largest = i; 
    int l = 2 * i + 1; 
    int r = 2 * i + 2;
    if (l < size && arr[l] > arr[largest]) {
        comparisons++;
        largest = l;
    }
    if (r < size && arr[r] > arr[largest]) {
        comparisons++;
        largest = r;
    }
    if (largest != i) {
        int temp = arr[i];
        arr[i] = arr[largest];
        arr[largest] = temp;
        moves++;
        print_array(arr, size);
        heapify(arr, size, largest);
    }
}
void heap_sort(int arr[], int size) {
    reset_counters();
    for (int i = size / 2 - 1; i >= 0; i--) {
        heapify(arr, size, i);
    }
    for (int i = size - 1; i > 0; i--) {
        int temp = arr[0];
        arr[0] = arr[i];
        arr[i] = temp;
        moves++;
        print_array(arr, size);
        heapify(arr, i, 0);
    }
}
int main() {
    int choice, size;
    printf("请输入要排序的数组大小: ");
    scanf("%d", &size);
    int arr[size];
    printf("请输入数组元素 (用空格隔开): ");
    for (int i = 0; i < size; i++) {
        scanf("%d", &arr[i]);
    }
    printf("请选择排序算法:\n");
    printf("1. 冒泡排序\n");
    printf("2. 选择排序\n");
    printf("3. 插入排序\n");
    printf("4. 希尔排序\n");
    printf("5. 快速排序\n");
    printf("6. 堆排序\n");
    printf("请输入选择 (1-6): ");
    scanf("%d", &choice);
    switch (choice) {
        case 1:
            printf("冒泡排序:\n");
            bubble_sort(arr, size);
            break;
        case 2:
            printf("选择排序:\n");
            selection_sort(arr, size);
            break;
        case 3:
            printf("插入排序:\n");
            insertion_sort(arr, size);
            break;
        case 4:
            printf("希尔排序:\n");
            shell_sort(arr, size);
            break;
        case 5:
            printf("快速排序:\n");
            quick_sort(arr, 0, size - 1);
            break;
        case 6:
            printf("堆排序:\n");
            heap_sort(arr, size);
            break;
        default:
            printf("无效选择!\n");
            return 1;
    }
    printf("\n排序结果: ");
    print_array(arr, size);
    printf("比较次数: %d\n", comparisons);
    printf("移动次数: %d\n", moves);
    return 0;
}
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