Method byFixingEndpointsTo

src/main/java/field/graphics/FLine.java:1509–1535

returns a new FLine by translating, rotating and scaling this line such that it's endpoints are 'start' and 'end'

(Vec3 start, Vec3 end)

		Vec3 center = new Vec3().lerp(cStart, cEnd, 0.5);
		Vec3 center2 = new Vec3().lerp(start, end, 0.5);

		Vec3 t = new Vec3(center2).sub(center);

		Vec3 cD = new Vec3(cEnd).sub(cStart).normalize();
		Vec3 d = new Vec3(end).sub(start);

		Quat q = cD.isNaN() || d.isNaN() ? new Quat() : new Quat().rotateTo(d, cD);

		double s = end.distance(start) / cEnd.distance(cStart);

		if (Double.isNaN(s)) s = 1;

		double fs = s;

		return byTransforming(x -> q.transform(new Vec3(x).sub(center))
			.mul(fs)
			.add(center)
			.add(t));

	}

	/**
	 * handy method that sets the z coordinate of all the nodes in this FLine to be the `depth` of this box (or 0)
	 *
	 * @param of
	 */
	public void depthTo(Box of) {
		float d = of.properties.getFloat(depth, 0f);
		for (Node n : nodes)
			n.setZ(d);