Csharp UnityC# 中的动态啦啦队 pyramid 形成

把啦啦队员换成杂技演员.杂技演员不是 pyramid ，而是以柱子形式直接堆叠在彼此的顶部，上下笔直地站在彼此的肩膀上.列号从左侧开始，最左侧的列指定为1，并随着向右移动而递增.

以下是安排杂技演员的规则:

In column 1, you stack 1 acrobat.
In column 2, you stack 2 acrobats.
In column 3, you stack 3 acrobats.
Etc...

这是9名杂技演员的样子:

      9
    5 8
  2 4 7
0 1 3 6

现在想象一下，杂技演员非常强壮，可以偏离中心站立，所以只有一条腿在下面的人身上，相反的腿和相反的肩膀.它们都在相同的方向上偏移，使每一列都倾斜到一边.

每个堆叠的杂技演员都恰好是最下面一排杂技演员之间距离的一半，所以看起来他们就像是直接站在下面两个杂技演员的上面:

   9
  5 8
 2 4 7
0 1 3 6

看起来眼熟吗？ pyramid 不是真正的 pyramid ，它是一组倾斜的柱子！

因此，算法就是在每一列中保持正确的杂技演员数量，随着你向上移动，每一位杂技演员都向左偏移半列.每当你到达栏目的顶端，你就开始一个新的栏目，然后重复，直到你达到了所需的杂技演员数量.每个底部杂技演员在新的一列中的开始位置很容易计算，因为它只是 pyramid 原点(左下角)右侧的列号减一乘以水平偏移距离.

我不是Unity程序员，这是为C#WinForms编写的，但我确信您将能够理解算法和代码.

以下是该计划的核心部分:

private int xOffset = 45;
private int yOffset = 45;
private int cheerleaderRadius = 15;

private int numCheerleaders = 1;

private void MainForm_Paint(object sender, PaintEventArgs e)
{
    // set origin at the bottom left of the form
    Point origin = new Point(cheerleaderRadius * 2, this.ClientRectangle.Height - (cheerleaderRadius*2));
           
    int currentCheerleader = 1;
    int currentColumnNumber = 1;
    int cheerleadersInCurrentColumn;
    while (currentCheerleader <= numCheerleaders)
    {
        cheerleadersInCurrentColumn = 1;
        Point position = new Point(origin.X + (currentColumnNumber - 1) * xOffset, origin.Y);
        while(cheerleadersInCurrentColumn<=currentColumnNumber && currentCheerleader<=numCheerleaders)
        {
            drawCheerleader(e.Graphics, position, (currentCheerleader - 1));
            position.Offset(-xOffset / 2, -yOffset);
            cheerleadersInCurrentColumn++;
            currentCheerleader++;
        }
        currentColumnNumber++;
    }     
}

这就是它在行动中的样子.每次啦啦队员的人数发生变化，下面的 pyramid 就会被重新绘制:

下面是整个C#WinForms程序:

public partial class MainForm : Form
{
    
    private int xOffset = 45;
    private int yOffset = 45;
    private int cheerleaderRadius = 15;

    private int numCheerleaders = 1;
    
    private StringFormat sf = new StringFormat();

    public MainForm()
    {
        InitializeComponent();
        sf.Alignment = StringAlignment.Center;
        sf.LineAlignment = StringAlignment.Center;
        this.Paint += MainForm_Paint;
        this.SizeChanged += MainForm_SizeChanged;
    }

    private void MainForm_SizeChanged(object sender, EventArgs e)
    {
        this.Invalidate();
    }

    private void numericUpDown1_ValueChanged(object sender, EventArgs e)
    {
        numCheerleaders = (int)numericUpDown1.Value;
        this.Invalidate();
    }

    private void MainForm_Paint(object sender, PaintEventArgs e)
    {
        // set origin at the bottom left of the form
        Point origin = new Point(cheerleaderRadius * 2, this.ClientRectangle.Height - (cheerleaderRadius*2));
               
        int currentCheerleader = 1;
        int currentColumnNumber = 1;
        int cheerleadersInCurrentColumn;
        while (currentCheerleader <= numCheerleaders)
        {
            cheerleadersInCurrentColumn = 1;
            Point position = new Point(origin.X + (currentColumnNumber - 1) * xOffset, origin.Y);
            while(cheerleadersInCurrentColumn<=currentColumnNumber && currentCheerleader<=numCheerleaders)
            {
                drawCheerleader(e.Graphics, position, (currentCheerleader - 1));
                position.Offset(-xOffset / 2, -yOffset);
                cheerleadersInCurrentColumn++;
                currentCheerleader++;
            }
            currentColumnNumber++;
        }     
    }

    private void drawCheerleader(Graphics g, Point pos, int number)
    {
        RectangleF rc = new RectangleF(pos, new Size(1, 1));
        rc.Inflate(cheerleaderRadius, cheerleaderRadius);
        g.DrawEllipse(Pens.Black, rc);
        g.DrawString(number.ToString(), this.Font, Brushes.Black, rc, sf);
    }

}