数据结构—查找与排序算法（c语言版）

查找算法声明

名称	函数
顺序查找	bool Select_Seq(int A[], int n, int k);
折半查找	bool Select_Half(int A[], int n, int k);

排序算法声明

名称	函数
直接插入排序	void Sort_Inssert(int A[], int n);
折半插入排序	void Sort_Insert_Half(int A[], int n);
希尔排序	void Sort_Shell(int A[], int n);
冒泡排序	void Sort_Bubble(int A[], int n);
快速排序	void Sort_Quick(int A[], int low, int high);
简单选择排序	void Sort_Select(int A[], int n);
堆排序	void Sort_Heap(int A[], int n);
归并排序	void Sort_Merge(int A[], int low, int high, int B[]);

代码实现

查找算法

//顺序查找
bool Select_Seq(int A[], int n,int k) {
    
    
	for (int i = 0; i < n; i++) {
    
    
		if (A[i] == k) {
    
    
			return true;
		}
	}
	return false;
}

//折半查找
bool Select_Half(int A[], int n,int k) {
    
    
	int low = 0, high = n - 1, mid;
	while (low <= high) {
    
    
		mid = (low + high) / 2;
		if (A[mid] > k)
			high = mid - 1;
		else if (A[mid] < k)
			low = mid + 1;
		else
			return true;
	}
	return false;
}

排序算法

//直接插入排序
void Sort_Inssert(int A[], int n) {
    
    
	int num;
	int i, j;
	for (i = 1; i < n; i++) {
    
    
		num = A[i];
		if (num < A[i - 1]) {
    
    
			for (j = i-1; num < A[j] && j>=0; j--) {
    
    
				A[j+1] = A[j];
			}
			A[j+1] = num;
		}
	}
}

//折半插入排序
void Sort_Insert_Half(int A[], int n) {
    
    
	int low,high, mid, num;
	for (int i = 1; i < n; i++) {
    
    
		num = A[i];
		low = 0; high = i - 1;
		while (low <= high) {
    
    
			mid = (low + high) / 2;
			if (A[mid] > num)
				high = mid - 1;
			else
				low = mid + 1;
		}
		for (int j = i - 1; j >=low; j--) 
			A[j + 1] = A[j];
		A[low] = num;
	}
}

//希尔排序
void Sort_Shell(int A[], int n) {
    
    
	int num;//用来存储数据
	int i, j;
	for(int dk=n/2;dk>=1;dk/=2)
		for(i=dk;i<n;i++)
			if (A[i] < A[i - dk]) {
    
    
				num = A[i];
				for (j = i - dk; j >= 0 && num < A[j]; j -= dk)
					A[j + dk] = A[j];
				A[j + dk] = num;
			}
}

//交换值函数
//注意这里要用引用，否则不能影响外部调用参数
void Swap(int& a, int& b) {
    
    
	int k = a;
	a = b;
	b = k;
}
//冒泡排序，向后冒泡
void Sort_Bubble(int A[], int n) {
    
    
	bool flag;//用于判断是否已经有序,true表示已经有序
	for (int i = 0; i < n-1; i++) {
    
    
		flag = true;
		for (int j = 0; j < n-i-1; j++)
			if (A[j] > A[j + 1]) {
    
    
				flag = false;
				Swap(A[j], A[j + 1]);
			}
		if (flag == true)
			return;
	}
}

//快速排序一次定位
int _Partition(int A[], int low, int high) {
    
    
	int pivot = A[low];
	while (low < high) {
    
    
		while (low < high && A[high] >= pivot)
			high--;
		A[low] = A[high];
		while (low < high && A[low] <= pivot)
			low++;
		A[high] = A[low];
	}
	A[low] = pivot;
	return low;
}
//快速排序 ,不稳定算法
void Sort_Quick(int A[],int low,int high) {
    
    
	if (low < high) {
    
    
		int pivot = _Partition(A, low, high);
		Sort_Quick(A, low, pivot - 1);
		Sort_Quick(A, pivot + 1, high);
	}
}

//简单选择排序,不稳定算法
void Sort_Select(int A[], int n) {
    
    
	int min;
	for (int i = 0; i < n - 1; i++) {
    
    
		min = i;
		for (int j = i + 1; j < n; j++) 
			if (A[j] < A[min])
				min = j;
		if (min != i)
			Swap(A[min], A[i]);
	}
}

//大根堆一次调整
void Head_Adjust(int A[], int k, int len) {
    
    
	int num = A[k];
	for (int i = 2 * k+1; i < len; i =i* 2+1) {
    
    
		if (i < len && A[i] < A[i + 1]) 
			i++;
		if (num >= A[i])
			A[k] = num;
		else {
    
    
			A[k] = A[i];
			k = i;
		}
	}
	A[k] = num;
}
//建立大根堆
void Build_Max_Heap(int A[], int len) {
    
    
	for (int i = (len - 1) / 2; i >= 0; i--) {
    
    
		Head_Adjust(A, i, len);
	}
}
//堆排序
void Sort_Heap(int A[], int n) {
    
    
	Build_Max_Heap(A, n);
	for (int i = n - 1; i > 0; i--) {
    
    
		Swap(A[i], A[0]);
		Head_Adjust(A, 0, i - 1);
	}
}
//将数组的两部分合并成一部分
void Merge(int A[],int low,int mid,int high,int B[]) {
    
    
	for (int i = low; i <= high; i++)
		B[i] = A[i];
	int i = low, j = mid+1, k = low;
	while (i <= mid && j <= high) {
    
    
		if (B[i] <= B[j])
			A[k++] = B[i++];
		else
			A[k++] = B[j++];
	}
	while (i <= mid)A[k++] = B[i++];
	while (j <= high)A[k++] = B[j++];
}
//归并排序
void Sort_Merge(int A[], int low,int high,int B[]) {
    
    
	if (low < high) {
    
    
		int mid = (low + high) / 2;
		Sort_Merge(A, low, mid, B);
		Sort_Merge(A, mid + 1, high, B);
		Merge(A, low, mid, high, B);
	}
}
//归并排序测试函数
void Sort_Merge_Test(int A[], int n) {
    
    
	int* B = new int[n];
	int low = 0,high = n - 1;
	Sort_Merge(A, low, high, B);
}