export class Vector
{
    constructor(x = 0, y = 0)
    {
        this.x = x;
        this.y = y;
    }

    add(vector)
    {
        this.x += vector.x;
        this.y += vector.y;
        return this;
    }

    addMul(vector, scalar)
    {
        this.x += vector.x * scalar;
        this.y += vector.y * scalar;
        return this;
    }

    sub(vector)
    {
        this.x -= vector.x;
        this.y -= vector.y;
        return this;
    }

    mul(scalar)
    {
        this.x *= scalar;
        this.y *= scalar;
        return this;
    }

    div(scalar)
    {
        return this.mul(1 / scalar);
    }

    rotate(angle)
    {
        const cos = Math.cos(angle);
        const sin = Math.sin(angle);
        const nextX = cos * this.x - sin * this.y;
        const nextY = cos * this.y + sin * this.x;

        this.x = nextX;
        this.y = nextY;
        return this;
    }

    angle()
    {
        return Math.PI / 2 - Math.atan2(this.x, this.y);
    }

    normSquared()
    {
        return this.x * this.x + this.y * this.y;
    }

    static distSquared(lhs, rhs)
    {
        return (
            (lhs.x - rhs.x) * (lhs.x - rhs.x)
            + (lhs.y - rhs.y) * (lhs.y - rhs.y)
        );
    }

    reset()
    {
        this.x = 0;
        this.y = 0;
        return this;
    }

    clone()
    {
        return new Vector(this.x, this.y);
    }
}

export class Rectangle
{
    constructor(x, y, w, h)
    {
        this.x = x;
        this.y = y;
        this.w = w;
        this.h = h;
        this.center = new Vector(x + w / 2, y + h / 2);
    }

    intersect(point, radius)
    {
        return (
            point.x >= this.x - radius
            && point.x < this.x + this.w + radius
            && point.y >= this.y - radius
            && point.y < this.y + this.h + radius
        );
    }

    draw(ctx)
    {
        ctx.rect(this.x, this.y, this.w, this.h);
    }
}

export class Circle
{
    constructor(x, y, r)
    {
        this.r = r;
        this.center = new Vector(x, y);
    }

    intersect(point, radius)
    {
        return (
            Vector.distSquared(this.center, point)
            <= (this.r + radius) * (this.r + radius)
        );
    }

    draw(ctx)
    {
        ctx.moveTo(this.center.x + this.r, this.center.y);
        ctx.arc(this.center.x, this.center.y, this.r, 0, 2 * Math.PI, false);
    }
}