js find intersection point
function line_intersect(x1, y1, x2, y2, x3, y3, x4, y4) { var ua, ub, denom = (y4 - y3)*(x2 - x1) - (x4 - x3)*(y2 - y1); if (denom == 0) { return null; } ua = ((x4 - x3)*(y1 - y3) - (y4 - y3)*(x1 - x3))/denom; ub = ((x2 - x1)*(y1 - y3) - (y2 - y1)*(x1 - x3))/denom; return { x: x1 + ua * (x2 - x1), y: y1 + ua * (y2 - y1), seg1: ua >= 0 && ua <= 1, seg2: ub >= 0 && ub <= 1 }; }