html5-canvas Collisions and Intersections Are a line segment and circle colliding?


Example

// [x0,y0] to [x1,y1] define a line segment
// [cx,cy] is circle centerpoint, cr is circle radius 
function isCircleSegmentColliding(x0,y0,x1,y1,cx,cy,cr){

    // calc delta distance: source point to line start
    var dx=cx-x0;
    var dy=cy-y0;

    // calc delta distance: line start to end
    var dxx=x1-x0;
    var dyy=y1-y0;

    // Calc position on line normalized between 0.00 & 1.00
    // == dot product divided by delta line distances squared
    var t=(dx*dxx+dy*dyy)/(dxx*dxx+dyy*dyy);

    // calc nearest pt on line
    var x=x0+dxx*t;
    var y=y0+dyy*t;
    
    // clamp results to being on the segment
    if(t<0){x=x0;y=y0;}
    if(t>1){x=x1;y=y1;}

    return( (cx-x)*(cx-x)+(cy-y)*(cy-y) < cr*cr );
}