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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _transform_coordinates( self, func: Callable[[Union[int, float], Union[int, float]], Tuple[Union[int, float], Union[int, float]]] ) -> None: """Helper method to transformer either row or column coordinates."""


        def func_x(x: Union[int, float]) -> Union[int, float]:
            return func(x, 0)[0]

        def func_y(y: Union[int, float]) -> Union[int, float]:
            return func(0, y)[1]

        self.entries = {
            cast(Tuple[int, int], func(int(x), int(y))): v
            for (x, y), v in self.entries.items()
        }
        self.vertical_lines = [
            _VerticalLine(func_x(x), func_y(y1), func_y(y2), emph)
            for x, y1, y2, emph in self.vertical_lines]
        self.horizontal_lines = [
            _HorizontalLine(func_y(y), func_x(x1), func_x(x2), emph)
            for y, x1, x2, emph in self.horizontal_lines]
        self.horizontal_padding = {
            int(func_x(int(x))): padding
            for x, padding in self.horizontal_padding.items()
        }
        self.vertical_padding = {
            int(func_y(int(y))): padding
            for y, padding in self.vertical_padding.items()
        }