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#!/usr/bin/env python  from manim import * # To watch one of these scenes, run the following:# python --quality m manim -p example_scenes.py SquareToCircle## Use the flag --quality l for a faster rendering at a lower quality.# Use -s to skip to the end and just save the final frame# Use the -p to have preview of the animation (or image, if -s was# used) pop up once done.# Use -n <number> to skip ahead to the nth animation of a scene.# Use -r <number> to specify a resolution (for example, -r 1920,1080# for a 1920x1080 video)  class OpeningManim(Scene):    def construct(self):        title = Tex(r"This is some \LaTeX")        basel = MathTex(r"\sum_{n=1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}")        VGroup(title, basel).arrange(DOWN)        self.play(            Write(title),            FadeIn(basel, shift=DOWN),        )        self.wait()         transform_title = Tex("That was a transform")        transform_title.to_corner(UP + LEFT)        self.play(            Transform(title, transform_title),            LaggedStart(*(FadeOut(obj, shift=DOWN) for obj in basel)),        )        self.wait()         grid = NumberPlane()        grid_title = Tex("This is a grid", font_size=72)        grid_title.move_to(transform_title)         self.add(grid, grid_title)  # Make sure title is on top of grid        self.play(            FadeOut(title),            FadeIn(grid_title, shift=UP),            Create(grid, run_time=3, lag_ratio=0.1),        )        self.wait()         grid_transform_title = Tex(            r"That was a non-linear function \\ applied to the grid",        )        grid_transform_title.move_to(grid_title, UL)        grid.prepare_for_nonlinear_transform()        self.play(            grid.animate.apply_function(                lambda p: (                    p                    + np.array(                        [                            np.sin(p[1]),                            np.sin(p[0]),                            0,                        ],                    )                ),            ),            run_time=3,        )        self.wait()        self.play(Transform(grid_title, grid_transform_title))        self.wait()  class SquareToCircle(Scene):    def construct(self):        circle = Circle()        square = Square()        square.flip(RIGHT)        square.rotate(-3 * TAU / 8)        circle.set_fill(PINK, opacity=0.5)         self.play(Create(square))        self.play(Transform(square, circle))        self.play(FadeOut(square))  class WarpSquare(Scene):    def construct(self):        square = Square()        self.play(            ApplyPointwiseFunction(                lambda point: complex_to_R3(np.exp(R3_to_complex(point))),                square,            ),        )        self.wait()  class WriteStuff(Scene):    def construct(self):        example_text = Tex("This is a some text", tex_to_color_map={"text": YELLOW})        example_tex = MathTex(            "\\sum_{k=1}^\\infty {1 \\over k^2} = {\\pi^2 \\over 6}",        )        group = VGroup(example_text, example_tex)        group.arrange(DOWN)        group.width = config["frame_width"] - 2 * LARGE_BUFF         self.play(Write(example_text))        self.play(Write(example_tex))        self.wait()  class UpdatersExample(Scene):    def construct(self):        decimal = DecimalNumber(            0,            show_ellipsis=True,            num_decimal_places=3,            include_sign=True,        )        square = Square().to_edge(UP)         decimal.add_updater(lambda d: d.next_to(square, RIGHT))        decimal.add_updater(lambda d: d.set_value(square.get_center()[1]))        self.add(square, decimal)        self.play(            square.animate.to_edge(DOWN),            rate_func=there_and_back,            run_time=5,        )        self.wait()  class SpiralInExample(Scene):    def construct(self):        logo_green = "#81b29a"        logo_blue = "#454866"        logo_red = "#e07a5f"         font_color = "#ece6e2"         pi = MathTex(r"\pi").scale(7).set_color(font_color)        pi.shift(2.25 * LEFT + 1.5 * UP)         circle = Circle(color=logo_green, fill_opacity=0.7, stroke_width=0).shift(LEFT)        square = Square(color=logo_blue, fill_opacity=0.8, stroke_width=0).shift(UP)        triangle = Triangle(color=logo_red, fill_opacity=0.9, stroke_width=0).shift(            RIGHT        )        pentagon = Polygon(            *[                [np.cos(2 * np.pi / 5 * i), np.sin(2 * np.pi / 5 * i), 0]                for i in range(5)            ],            color=PURPLE_B,            fill_opacity=1,            stroke_width=0,        ).shift(UP + 2 * RIGHT)        shapes = VGroup(triangle, square, circle, pentagon, pi)        self.play(SpiralIn(shapes, fade_in_fraction=0.9))        self.wait()        self.play(FadeOut(shapes))  Triangle.set_default(stroke_width=20)  class LineJoints(Scene):    def construct(self):        t1 = Triangle()        t2 = Triangle(joint_type=LineJointType.ROUND)        t3 = Triangle(joint_type=LineJointType.BEVEL)         grp = VGroup(t1, t2, t3).arrange(RIGHT)        grp.set(width=config.frame_width - 1)         self.add(grp)  # See many more examples at https://docs.manim.community/en/stable/examples.html