Calculate Curve Modifier (Tween)

Unity Engine
1

Hi everbody.

I am writing curve (ellipse) path modifier. I give radius (distance) from and to position. I use cos and sin but work for a direction, upside to bottom. I need that all form coordinates to all to coordinates working code. e.g 0,2,0 to 0,0,0 and -2,-5,0 to 3,-7,0.

1536×2048 384 KB

public static void GOPath(Vector3 _from, Vector3 _to, float _duration, float _degree)
    {

        from = _from;
        to = _to;
        duration = _duration;
        degree = _degree;

        disx = to.x - from.x;
        disy = to.y - from.y;

        radius = 2;

        active = true;
    }




    void Update () {


        if (active)
        {
            elapsedTime += Time.deltaTime;
            if (elapsedTime <= duration)
            {
                //from.x += disx * Time.deltaTime / duration;
                from.y += disy * Time.deltaTime / duration;

                if (elapsedTime <= duration / 2)
                {

                    from.x += degree * Time.deltaTime / duration;
                }
                else
                {
                    from.x -= degree * Time.deltaTime / duration;
                }

                newpos = new Vector3(from.x, from.y, 0);
                MyEvent(newpos);
            }
            else
            {
                MyEvent(new Vector3(to.x, to.y, 0));
                active = false;
            }

        }

    }
2

You’re graphing a parabola which you can do without any need for trig. On a parabola, the point of that peak is called the vertex and the alignment of that peak is called the axis of symmetry. The math is very simple. I found this explanation which walks you through it far better than anything I’d have time to write: