uint32 CatmullRomSpline::insertBefore(uint32 index)
    {
        f32vec2 p0 = getPosition(index-1);
        f32vec2 m0 = getTangent(index-1) / (getParameter(index) - getParameter(index-1));
        f32vec2 p1 = getPosition(index);
        f32vec2 m1 = getTangent(index) / (getParameter(index) - getParameter(index-1));
        float u = 0.5f;
        f32vec2 newPoint = evaluateHermiteSegment(p0, m0, m1, p1, u);
        m_positions.insert(m_positions.begin() + index , newPoint);
        return index;
    }

    uint32 CatmullRomSpline::insertAfter(uint32 index)
    {
        f32vec2 p0 = getPosition(index);
        f32vec2 m0 = getTangent(index) / (getParameter(index+1) - getParameter(index));
        f32vec2 p1 = getPosition(index+1);
        f32vec2 m1 = getTangent(index+1) / (getParameter(index+1) - getParameter(index));
        float u = 0.5f;
        f32vec2 newPoint = evaluateHermiteSegment(p0, m0, m1, p1, u);
        m_positions.insert(m_positions.begin() + (index+1), newPoint);
        return index+1;
    }

    uint32 CatmullRomSpline::removeAt(uint32 index)
    {
        // Assignment 1e
        m_positions.erase(m_positions.begin() + index);
        return index;
    }