Repository: ManimCommunity/manim
File: manim/mobject/mobject.py (Python)

Code before:
        return self

    def apply_function_to_position(self, function):
        self.move_to(function(self.get_center()))
        return self

    def apply_function_to_submobject_positions(self, function):
        for submob in self.submobjects:
            submob.apply_function_to_position(function)
        return self

    def apply_matrix(self, matrix, **kwargs):
        # Default to applying matrix about the origin, not mobjects center
        if ("about_point" not in kwargs) and ("about_edge" not in kwargs):
            kwargs["about_point"] = ORIGIN
        full_matrix = np.identity(self.dim)
        matrix = np.array(matrix)
        full_matrix[: matrix.shape[0], : matrix.shape[1]] = matrix
        self.apply_points_function_about_point(
            lambda points: np.dot(points, full_matrix.T), **kwargs
        )
        return self

    def apply_complex_function(self, function, **kwargs):
        """Complex function that is applied to the xy-plane
        With z= u+iv  u respresents the x value, v represents the y value.

        Example
        -------

        .. manim:: ApplyFuncExample

            class ApplyFuncExample(Scene):
                def construct(self):
                    circ = Circle().scale(1.5)
                    circ_ref = circ.copy()
                    circ.apply_complex_function(
                        lambda x: np.exp(x*1j)
                    )
                    t=ValueTracker(0)
                    circ.add_updater(
                        lambda x: x.become(circ_ref.copy().apply_complex_function(
                            lambda x: np.exp(x+t.get_value()*1j)
                        )).set_color(BLUE)
                    )
                    self.add(circ_ref)
                    self.play(TransformFromCopy(circ_ref, circ))
                    self.play(t.animate.set_value(TAU), run_time=3)
        """

        def R3_func(point):

Review comment (suggestion):
```suggestion
        The x and y coordinates correspond to the real and imaginary parts respectively.
```

Code after:
        return self

    def apply_function_to_position(self, function):
        self.move_to(function(self.get_center()))
        return self

    def apply_function_to_submobject_positions(self, function):
        for submob in self.submobjects:
            submob.apply_function_to_position(function)
        return self

    def apply_matrix(self, matrix, **kwargs):
        # Default to applying matrix about the origin, not mobjects center
        if ("about_point" not in kwargs) and ("about_edge" not in kwargs):
            kwargs["about_point"] = ORIGIN
        full_matrix = np.identity(self.dim)
        matrix = np.array(matrix)
        full_matrix[: matrix.shape[0], : matrix.shape[1]] = matrix
        self.apply_points_function_about_point(
            lambda points: np.dot(points, full_matrix.T), **kwargs
        )
        return self

    def apply_complex_function(self, function, **kwargs):
        """Applies a complex function to a :class:`Mobject`.
        The x and y coordinates correspond to the real and imaginary parts respectively.

        Example
        -------

        .. manim:: ApplyFuncExample

            class ApplyFuncExample(Scene):
                def construct(self):
                    circ = Circle().scale(1.5)
                    circ_ref = circ.copy()
                    circ.apply_complex_function(
                        lambda x: np.exp(x*1j)
                    )
                    t = ValueTracker(0)
                    circ.add_updater(
                        lambda x: x.become(circ_ref.copy().apply_complex_function(
                            lambda x: np.exp(x+t.get_value()*1j)
                        )).set_color(BLUE)
                    )
                    self.add(circ_ref)
                    self.play(TransformFromCopy(circ_ref, circ))
                    self.play(t.animate.set_value(TAU), run_time=3)
        """

        def R3_func(point):