Collision detection between a line and a circle in JavaScript

Question

I'm looking for a definitive answer, maybe a function cos I'm slow, that will determine if a line segment and circle have collided, in javascript (working with canvas)

A function like the one below that simply returns true if collided or false if not would be awesome. I might even donate a baby to you.

function isCollided(lineP1x, lineP1y, lineP2x, lineP2y, circlex, circley, radius) {

    ...
}

I've found plenty of formulas, like this one, but they are over my head.

Answer 1

Here you will need some Math:

This is the basic concept if you don't know how to solve equations in general. I will leave the rest of the thinking to you. ;) Figuring out CD's length isn't that hard.

If you are asking how, that's how: Finding collisions in JavaScript is kind of complicated.

Answer 2

I Spent about a day and a half to make it perfect.. Hope this helps.

function collisionCircleLine(circle,line){ // Both are objects

    var side1 = Math.sqrt(Math.pow(circle.x - line.p1.x,2) + Math.pow(circle.y - line.p1.y,2)); // Thats the pythagoras theoram If I can spell it right

    var side2 = Math.sqrt(Math.pow(circle.x - line.p2.x,2) + Math.pow(circle.y - line.p2.y,2));

    var base = Math.sqrt(Math.pow(line.p2.x - line.p1.x,2) + Math.pow(line.p2.y - line.p1.y,2));

    if(circle.radius > side1 || circle.radius > side2)
        return true;

    var angle1 = Math.atan2( line.p2.x - line.p1.x, line.p2.y - line.p1.y ) - Math.atan2( circle.x - line.p1.x, circle.y - line.p1.y ); // Some complicated Math

    var angle2 = Math.atan2( line.p1.x - line.p2.x, line.p1.y - line.p2.y ) - Math.atan2( circle.x - line.p2.x, circle.y - line.p2.y ); // Some complicated Math again

    if(angle1 > Math.PI / 2 || angle2 > Math.PI / 2) // Making sure if any angle is an obtuse one and Math.PI / 2 = 90 deg
        return false;


        // Now if none are true then

        var semiperimeter = (side1 + side2 + base) / 2;

        var areaOfTriangle = Math.sqrt( semiperimeter * (semiperimeter - side1) * (semiperimeter - side2) * (semiperimeter - base) ); // Heron's formula for the area

        var height = 2*areaOfTriangle/base;

        if( height < circle.radius )
            return true;
        else
            return false;

}

And that is how you do it..