How to resolse collision between moving and static AABB?

Question

What I have is a map represented as list of Rectangles and player's rectangle. Also I have function to determine depth of the collision: Point TestAABBAABB(Rectangle a, Rectangle b) { Point mt = new Point();

    double rcx = Math.abs(a.getCenterX() - b.getCenterX());
    double rx = (a.width / 2 + b.width / 2);
    if (rcx > rx) {
        return new Point();
    }
    double rcy = Math.abs(a.getCenterY() - b.getCenterY());
    double ry = (a.height / 2 + b.height / 2);
    if (rcy > ry) {
        return new Point();
    }
    double overlap_x = rx - rcx;
    double overlap_y = ry - rcy;

    mt.x = 0;
    mt.y = 0;
    //this is the line 
    if (overlap_x < overlap_y) {
        mt.x = (int) overlap_x;
        if (a.getCenterX() < b.getCenterX()) {
            mt.x = -mt.x;
        }
    } else {
        mt.y = (int) overlap_y;
        if (a.getCenterY() < b.getCenterY()) {
            mt.y = -mt.y;
        }
    }
    return mt;
}

It works fine if a player jumps "inside" the width of the wall, far from edges. //tail representation But if player tries to jump near an edge, he moves through the wall and to the side as a result of non-zero X penetration depth of collision.

How do I avoid this situation so player slides under platform instead of getting pushed left or right and without having to set vx or vy to zero?

Answer 1

A simple approach might be to first resolve the movement in the X axis and after that in the Y axis. This way you'll always know which component of the movement caused the collision, and you can resolve the collision for that component without even having to touch the other one. For instance:

This will make sure we don't pull movement out of nowhere. Keep in mind that this works best for small steps because of the following:

I don't know if this is appropriate to the way you're doing things, but I hope it helps.