Find alternate shortest paths in Unity

Question

I'm developing a game in Unity. It's a simple game where the rocket has to reach the point where the player touches on the screen. The movement of the rocket is physics based. When the rocket goes off screen on right side, it appears on left side and when it goes off on left side, it appears on right side. Similar for vertical axis.

In the picture above, the user touches on the bottom right corner. The rocket could either rotate and go there (Path 1) or it would directly go up left off the screen and appear on bottom right corner and reach there(Path 2). I want to implement the Path 2. How would it calculate the distances and determine the shorter path and then proceed in that direction?

Answer 1

Euclidean distante = sqrt (dx * dx + dy * dy), for your distance you need to define dx as min(abs(x2-x1),screenwidth-abs(x2-x1)) same thing for dy.

Usualy the direction vector is Pt - Pm (Position vector target - Position vector missile). In your case you can define Direction vector x component as

if (x2-x1)>=0
  if (abs(x2-x1) < abs((x2-x1)-width))
    DirX = x2-x1;   
  else
    DirX = (x2-x1)-width;
else
  if (abs(x2-x1) < abs(width + (x2-x1))
    DirX=x2-x1;
  else
    DirX= width + (x2-x1);

In the same way (using HEIGTH) you can get DirY.