几种排序法

// 冒泡排序:稳定,时间复杂度 O(n^2)
void Bub_Sort(int *array, int n)
{
	int i, j;

	for(i = 0; i < n - 1; i++)
		for(j = 0; j < n - 1 - i; j++)
			if(array[j] > array[j+1])
			{
				int temp;
				temp = array[j];
				array[j] = array[j+1];
				array[j+1] = temp;
			}

	return;
}

// 选择排序:不稳定,时间复杂度 O(n^2)
void Sel_Sort(int *array, int n)
{
	int i, j, k;

	for(i = 0; i < n - 1; i++)
	{
		k = i;
		for(j = i + 1; j < n; j++)
			if(array[k] > array[j])
				k = j;
		if(k != i)
		{
			int temp;
			temp = array[i];
			array[i] = array[k];
			array[k] = temp;
		}
	}

	return;
}

// 插入排序:稳定,时间复杂度 O(n^2)
void Ins_Sort(int *array, int n)
{
	int i, j, key;

	for(i = 1; i < n; i++)
	{
		j = i - 1;
		key = array[i];
		while(j >= 0 && array[j] > key)
		{
			array[j+1] = array[j];
			j--;
		}
		array[j+1] = key;
	}

	return;
}

// 快速排序:不稳定,时间复杂度 最理想 O(nlogn) 最差时间O(n^2)
void Qui_Sort(int *array, int n)
{
	int i, j;
	int val;
		
	i = 0;
	j = n - 1;
	val = array[0];

	if(n > 1)
	{
		while(i < j)
		{
			for(; j > i; j--)
				if(array[j] < val)
				{
					array[i++] = array[j];
					break;
				}
			for(; i < j; i++)
				if(array[i] > val)
				{
					array[j--] = array[i];
					break;
				}
		}
		array[i] = val;
		Qui_Sort(array, i);
		Qui_Sort(array + i + 1, n - i - 1);
	}

	return;
}

// 堆排序:不稳定,时间复杂度 O(nlog n)
void HeapAdjust(int *array, int i, int n)
{
	int nChild;

	for(; 2 * i + 1 < n; i = nChild)
	{
		nChild = 2 * i + 1;
		if(nChild < n - 1 && array[nChild] < array[nChild+1])
			nChild++;

		if(array[i] < array[nChild])
		{
			int temp;
			temp = array[i];
			array[i] = array[nChild];
			array[nChild] = temp;
		}
		else
			break;
	}

	return;
}

void Hea_Sort(int *array, int n)
{
	int i;

	for(i = n / 2 - 1; i >= 0; i--)
		HeapAdjust(array, i, n);

	for(i = n - 1; i > 0; i--)
	{
		int temp;
		temp = array[0];
		array[0] = array[i];
		array[i] = temp;

		HeapAdjust(array, 0, i);
	}

	return;
}

// 归并排序:稳定,时间复杂度 O(nlog n)
void mergearray(int *array, int first, int mid, int last, int *p)
{
	int i, j, m, n, k;

	i = first;
	j = mid + 1;
	m = mid;
	n = last;
	k = 0;

	while(i <= m && j <= n)
	{
		if(array[i] <= array[j])
			p[k++] = array[i++];
		else
			p[k++] = array[j++];
	}
	while(i <= m)
		p[k++] = array[i++];
	while(j <= n)
		p[k++] = array[j++];

	for(i = 0; i < k; i++)
		array[first+i] = p[i];

	return;
}

void mergesort(int *array, int first, int last, int *p)
{
	int mid;

	if(first < last)
	{
		mid = (first + last) / 2;
		mergesort(array, first, mid, p);
		mergesort(array, mid + 1, last, p);
		mergearray(array, first, mid, last, p);
	}

	return;
}

void Mer_Sort(int *array, int n)
{
	int *p = NULL;

	p = (int *)malloc(sizeof(int) * n);

	mergesort(array, 0, n - 1, p);

	free(p);

	return;
}

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