用非递归、不用栈的方法,实现原位(in-place)的快速排序

大体思路是修改Partition方法将原本枢数的调整放到方法结束后去做。
这样因为数组右侧第一个大于当前枢数的位置就应该是未划分的子数组的边界。
然后继续进行Partition调整。
这种写法照比递归的写法多出一个向右寻找边界的过程,该过程的平均时间复杂度为Θ(nlogn)。

这样快速排序的算法平均复杂度乘以了常数项2,而空间复杂度缩小到Ο(1)。

        private static void QSort(int[] array)
        {
            int leftLow, leftHeight, rightLow, rightHeight;
            int tempLow, tempHeight, key, temp;
            leftLow = 0;
            leftHeight = leftLow; 
            rightLow = array.Length - 1; 
            rightHeight = array.Length - 1; 
            tempLow = -1; tempHeight = -1; key = -1;

            while (rightHeight > leftLow)
            {

                while (leftHeight + 1 < rightLow)
                {

                    key = leftHeight;
                    tempLow = leftHeight + 1;
                    tempHeight = rightLow;

                    while (tempLow < tempHeight)
                    {
                        while (tempLow < rightHeight && array[tempLow] < array[key])
                        {
                            tempLow++;
                        }
                        while (leftHeight < tempHeight && array[key] <= array[tempHeight])
                        {
                            tempHeight--;
                        }
                        if (leftLow < tempHeight && tempLow < rightHeight && tempLow < tempHeight)
                        {
                            temp = array[tempLow];
                            array[tempLow] = array[tempHeight];
                            array[tempHeight] = temp;
                        }
                    }
                    if (rightHeight == tempHeight && leftHeight ==leftLow )
                    {
                        temp = array[rightLow];
                        array[rightLow] = array[leftHeight];
                        array[leftHeight] = temp;
                        rightHeight--;
                        rightLow--;
                        continue;
                    }
                    rightLow = tempHeight;
                    if (key == tempHeight)
                    {
                        break;
                    }
                    else if (key < tempHeight && tempLow > tempHeight)
                    {
                        leftHeight++;
                    }

                }

                if (leftHeight != leftLow)
                {
                    if (leftHeight < rightLow)
                    {
                        if (array[leftHeight] < array[rightLow])
                        {
                            temp = leftHeight;
                        }
                        else
                        {
                            temp = rightLow;
                            rightLow++;
                            leftHeight++;
                        }
                    }
                    else
                    {
                        temp = rightLow;
                        rightLow++;
                    }

                    key = array[temp];
                    for (int i = temp; i > leftLow; i--)
                    {
                        array[i] = array[i - 1];
                    }
                    array[leftLow] = key;
                    leftLow++;

                    while (rightLow <= rightHeight && array[rightLow] < array[leftHeight])
                    {
                        rightLow++;
                    }
                    if (rightLow > rightHeight)
                    {
                        rightLow--;
                    }

                }

                else
                {
                    rightLow = rightHeight;
                    leftLow++;
                    leftHeight++;
                }
         
            }
            if (array[rightHeight] < array[rightHeight - 1])
            {
                temp = array[rightHeight];
                array[rightHeight] = array[rightHeight - 1];
                array[rightHeight - 1] = temp;
            }          
        }

  

posted on 2016-09-29 12:02  毛尹航  阅读(792)  评论(0编辑  收藏  举报