vector<Vector2> BezierCurve::renderSegment(double start, double end, int accuracy) const
{
	if (controlPoints.size() < 2)
		throw Exception("Invalid Bezier curve: Not enough control points.");
	vector<Vector2> vertices(controlPoints);
	subdivide(vertices, accuracy);
	if (start == end)
	{
		vertices.clear();
	}
	else if (start < end)
	{
		size_t start_idx = size_t(start * vertices.size());
		size_t end_idx = size_t(end * vertices.size() + 0.5);
		return std::vector<Vector2>(vertices.begin() + start_idx, vertices.begin() + end_idx);
	}
	else if (end > start)
	{
		size_t start_idx = size_t(end * vertices.size() + 0.5);
		size_t end_idx = size_t(start * vertices.size());
		return std::vector<Vector2>(vertices.begin() + start_idx, vertices.begin() + end_idx);
	}
	return vertices;
}