Method apply_complex_function

manim/mobject/mobject.py:1486–1526

Applies a complex function to a :class:`Mobject`. The x and y Point3Ds correspond to the real and imaginary parts respectively. Example ------- .. manim:: ApplyFuncExample class ApplyFuncExample(Scene): def construct(self):

(
        self,
        function: Callable[[complex], complex],
        *,
        about_point: Point3DLike | None = None,
        about_edge: Vector3DLike | None = None,
    )

        return self

    def apply_complex_function(
        self,
        function: Callable[[complex], complex],
        *,
        about_point: Point3DLike | None = None,
        about_edge: Vector3DLike | None = None,
    ) -> Self:
        """Applies a complex function to a :class:`Mobject`.
        The x and y Point3Ds 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):
            x, y, z = point
            xy_complex = function(complex(x, y))
            return [xy_complex.real, xy_complex.imag, z]

        return self.apply_function(
            R3_func, about_point=about_point, about_edge=about_edge
        )

    def reverse_points(self) -> Self:
        for mob in self.family_members_with_points():