在c＃中将点移动到另一个点 [英] Move point to another in c#

问题描述

我想将二维搜索空间中的某个点a移动到另一个具有一些步长的点b（_config.StepSize = 0.03）。

  Point a = agent.Location; 
 Point b = agentToMoveToward.Location; 
 
 // ---重要
 double diff =（b.X  -  a.X）+（b.Y  -  a.Y）; 
 double euclideanNorm = Math.Sqrt（Math.Pow（（b.X  -  a.X），2）+ Math.Pow（（b.Y  -  a.Y），2））; 
 double offset = _config.StepSize *（diff / euclideanNorm）; 
 
 agent.NextLocation = new Point（a.X + offset，a.Y + offset）; 
 // --- 
  

它正确吗？

解决方案

假设你的意思是你想要移动一个点到另一个点，并且假设你的步长有距离单位，那么你的计算是不正确的。

正确的公式是：

• nextLocation = a + UnitVector（a，b）* stepSize

简单的 Point 类和 Math 库，这看起来像：

  public Point MovePointTowards（Point a，Point b，double distance）
 {
 var vector = new Point（bX  -  aX，bY  -  aY）; 
 var length = Math.Sqrt（vector.X * vector.X + vector.Y * vector.Y）; 
 var unitVector = new Point（vector.X / length，vector.Y / length）; 
返回新的点（a.X + unitVector.X *距离，a.Y + unitVector.Y *距离）; 
 
  

编辑：根据TrevorSeniors建议更新代码评论

I would like to move some point a in two dimensional search space to another point b with some stepsize (_config.StepSize = 0.03).

Point a = agent.Location;
Point b = agentToMoveToward.Location;

//---    important        
double diff = (b.X - a.X) + (b.Y - a.Y);
double euclideanNorm = Math.Sqrt(Math.Pow((b.X - a.X), 2) + Math.Pow((b.Y - a.Y), 2));
double offset = _config.StepSize * ( diff / euclideanNorm );

agent.NextLocation = new Point(a.X + offset, a.Y + offset);
//---

Is it correct?

解决方案

Assuming you mean you want to move one point towards another point and assuming your step size has distance units, then no, your calculation is not correct.

The correct formula is:

• nextLocation = a + UnitVector(a, b) * stepSize

In C#, using just a simple Point class and the Math library, this looks like:

public Point MovePointTowards(Point a, Point b, double distance)
{
    var vector = new Point(b.X - a.X, b.Y - a.Y);
    var length = Math.Sqrt(vector.X * vector.X + vector.Y * vector.Y);
    var unitVector = new Point(vector.X / length, vector.Y / length);
    return new Point(a.X + unitVector.X * distance, a.Y + unitVector.Y * distance);
}

Edit: Updated code as per TrevorSeniors suggestion in comments

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