Calculate a vector from the center of a square to edge based on radius

Question

Given a square (described by x, y, width, height) and an angle (in radians) I need to calculate a vector that originates at the squares centre and terminates at the point th

Answer 1

Edit: There is another working implementation from Pavel now (good dedication from him to put in effort debugging his solution) but I'll leave this here as another alternative that works only for squares (Pavel's works for Rectangles).

private function calculatePointOnSquare(width:Number, angle:Number):Point
{
    // simple angle wrapping             
    angle = (Math.PI*2 + angle) % (Math.PI*2);

    // calculate a normalized vector from the centre
    // of a square to the edge taking into account
    // the eight possible quadrants
    var myX:Number;
    var myY:Number;
    if(angle < Math.PI/4)
    {
        myX = 1;
        myY = Math.tan(angle);
    }
    else if(angle < Math.PI/2)
    {
        myX = Math.tan(Math.PI/2 - angle);
        myY = 1;
    }
    else if(angle < 3*Math.PI/4)
    {
        myX = -Math.tan(angle - Math.PI/2);
        myY = 1;
    }
    else if(angle < Math.PI)
    {
        myX = -1;
        myY = Math.tan(Math.PI - angle);
    }
    else if(angle < 5*Math.PI/4)
    {
        myX = -1;
        myY = -Math.tan(angle - Math.PI);
    }
    else if(angle < 3*Math.PI/2)
    {
        myX = -Math.tan((3*Math.PI/2) - angle);
        myY = -1;
    }
    else if(angle < 7*Math.PI/4)
    {
        myX = Math.tan(angle - (3*Math.PI/2));
        myY = -1;
    }
    else
    {
        myX = 1;
        myY = -Math.tan(Math.PI*2 - angle);
    }

    // scale and translate the vector
    return new Point(
        (myX * width/2) + width/2, 
        (myY * width/2) + width/2);
}