var rng = (a,b)=>Math.random()*(b-a) + a;
var rndPoint = function(r, t = false) {
    var a = rng(0, Math.PI * 2);
    var ret = {x : Math.cos(a) * r, y : Math.sin(a) * r};
    if (t) {
        ret = {
            a : ret, 
            b : {x : -(Math.cos(a) * r),
                 y : -(Math.sin(a) * r)}
        }
    }
    return ret;
}
var testInbound = function(a,b,c) {
    var x = (a.x - 0) * (b.y - a.y) - (b.x - a.x) * (a.y - 0);
    var y = (b.x - 0) * (c.y - b.y) - (c.x - b.x) * (b.y - 0);
    var z = (c.x - 0) * (a.y - c.y) - (a.x - c.x) * (c.y - 0);
    if ((x > 0 && y > 0 && z > 0) || (x < 0 && y < 0 && z < 0)) return true;
    return false;
}
var pointTest = function(radius, cnt) {
    var hit = 0;
    var combos = [
        "a,a,a",
        "b,b,b",
        "a,a,b",
        "b,b,a",
        "a,b,a",
        "b,a,b",
        "b,a,a",
        "a,b,b"];
    combos.forEach((v,i)=>combos[i]=v.split(","));
    for (let i = cnt; i--;) {
        var j = 0;
        var p = [0,0,0].map(v=>rndPoint(radius, true));
        combos.forEach(c=>{
               j += testInbound(p[0][c[0]], p[1][c[1]], p[2][c[2]]);
        });
        if (j == 2) hit++;
    }
    return hit;
}
pointTest(10,10**6);