Distance Between Point and Line Segment

Actionscript:
  1. /**
  2. Original function by Pieter Iserbyt:
  3. http://local.wasp.uwa.edu.au/~pbourke/geometry/pointline/DistancePoint.java
  4. from Paul Bourke's website:
  5. http://local.wasp.uwa.edu.au/~pbourke/geometry/pointline/
  6. */
  7. function pointToLineDistance(p1:Sprite, p2:Sprite, p3:Sprite):Number {
  8.     var xDelta:Number = p2.x - p1.x;
  9.     var yDelta:Number = p2.y - p1.y;
  10.     if ((xDelta == 0) && (yDelta == 0)) {
  11.         // p1 and p2 cannot be the same point
  12.         p2.x += 1;
  13.         p2.y += 1;
  14.         xDelta = 1;
  15.             yDelta = 1;
  16.     }
  17.     var u:Number = ((p3.x - p1.x) * xDelta + (p3.y - p1.y) * yDelta) / (xDelta * xDelta + yDelta * yDelta);
  18.     var closestPoint:Point;
  19.     if (u <0) {
  20.         closestPoint = new Point(p1.x, p1.y);
  21.     } else if (u> 1) {
  22.         closestPoint = new Point(p2.x, p2.y);
  23.     } else {
  24.         closestPoint = new Point(p1.x + u * xDelta, p1.y + u * yDelta);
  25.     }
  26.     return Point.distance(closestPoint, new Point(p3.x, p3.y));
  27. }
  28.  
  29. /**
  30. Test out the function
  31. */
  32.  
  33. var dotA:Sprite = dot(100, 100);
  34. var dotB:Sprite = dot(200, 200);
  35. var dotC:Sprite = dot(150, 100, 0x0000FF);
  36. var txt:TextField = TextField(dotC.addChild(new TextField()));
  37. with(txt) x = 5, y = 5, autoSize = "left", selectable = false, mouseEnabled = false;
  38.  
  39. addEventListener(Event.ENTER_FRAME, onLoop);
  40. function onLoop(evt:Event):void {
  41.     graphics.clear();
  42.     graphics.lineStyle(0,0x000000);
  43.     graphics.moveTo(dotA.x, dotA.y);
  44.     graphics.lineTo(dotB.x, dotB.y);
  45.     txt.text = pointToLineDistance(dotA, dotB, dotC).toFixed(2);
  46. }
  47.  
  48. // draggable dot
  49. function dot(xp:Number, yp:Number, col:uint = 0xFF0000, rad:Number=4):Sprite {
  50.     var s:Sprite = Sprite(addChild(new Sprite));
  51.     s.x = xp;
  52.     s.y = yp;
  53.     with(s.graphics) beginFill(col), drawCircle(0,0,rad);
  54.     s.buttonMode = true;
  55.     s.addEventListener(MouseEvent.MOUSE_DOWN, onDrag);
  56.     return s;
  57. }
  58. function onDrag(evt:MouseEvent):void { evt.currentTarget.startDrag() }
  59. stage.addEventListener(MouseEvent.MOUSE_UP, onUp);
  60. function onUp(evt:MouseEvent):void{stopDrag() }

Last night I was working late and found myself in need of a way to calculate the distance between a point and a line. After a quick google search I found myself once again on Paul Bourke's extremely useful website. I was in a rush, so I just quickly ported the java code (by Pieter Iserbyt) and wrote this test snippet to make sure it works.

This code could be optimized a bit, but it works nicely.

I needed this for a commercial project, but as I was porting the code I thought of an interesting way to use this code to draw a gradient - may write and post that tomorrow.

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3 Comments

  1. elisa whitlock
    Posted August 5, 2009 at 6:25 pm | Permalink

    this is not helpful at all

  2. Posted August 5, 2009 at 6:29 pm | Permalink

    hey elisa, I assume your not an actionscript programmer - and were just looking for the math… and if thats the case this link should be helful:

    http://local.wasp.uwa.edu.au/~pbourke/geometry/pointline/

  3. Ivan
    Posted December 27, 2011 at 5:41 am | Permalink

    Thanks, its great.

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