Put Point on Line (deprecated).cpp

sf::Vector2f put_point_on_line(sf::Vector2f point, sf::Vector2f line_point0, sf::Vector2f line_point1)
{
    const double new_point_x
    {
        (
            point.x * std::pow(line_point0.x - line_point1.x, 2)
            +
            (
                point.y * (line_point0.x - line_point1.x)
                - line_point0.x * line_point1.y
                + line_point0.y * line_point1.x
            )  
                * (line_point0.y - line_point1.y)
        )
        /
        (
            std::pow(line_point0.x, 2)
            - 2 * line_point0.x * line_point1.x
            + std::pow(line_point0.y, 2)
            - 2 * line_point0.y * line_point1.y
            + std::pow(line_point1.x, 2)
            + std::pow(line_point1.y, 2)
        )
    };

    const double new_point_y
    {
        (
            (
                line_point0.y - line_point1.y
            )
                * new_point_x
            + line_point0.x * line_point1.y
            - line_point0.y * line_point1.x
        )
        /
        (
            line_point0.x - line_point1.x
        )
    };

    return {static_cast<float>(new_point_x), static_cast<float>(new_point_y)};
}