Manim方程转换

Question

Manim社区v0.15.1

class Equation_Transformation_Bug(Scene):
    def construct(self):
        equation_1 = MathTex("w", "\\times","v", "=", "1")
        equation_1.shift(UP*2).scale(2)
        equation_2 = MathTex("v", "=", "w^{-1}")
        equation_2.scale(2)
        equation_3 = MathTex("w", "\\times","w^{-1}", "=", "1")
        equation_3.shift(UP*2).scale(2)

        self.play(Write(equation_1), Write(equation_2))
        self.wait(2)
        self.play(FadeOut(equation_1[2]))

        self.play(*[
            Transform(
                equation_2.get_part_by_tex("w^{-1}"),
                equation_3.get_part_by_tex("w^{-1}")                
            )
        ] + [
            Transform(
                equation_1.get_part_by_tex(tex),
                equation_3.get_part_by_tex(tex)
            )
            for tex in ("w", "\\times","=", "1")
        ])
        self.wait(1)

我试图从等式_2获取W^{ - 1}以飞向以前由equation_1占用的斑点，并转换为公式_3。 相反，来自公式的“ 1”，从等式_3转换为w^{ - 1}。 我不是要进行替换变换。

如何将方程式_1转换为公式_3并将w^{ - 1}移动到公式_1的“ v”的位置？

Answer 1

在这种特殊情况下，使用transform -matchingshapes效果很好的方法：

class Eq(Scene):
    def construct(self):
        equation_1 = MathTex("w", "\\times","v", "=", "1")
        equation_1.shift(UP*2).scale(2)
        equation_2 = MathTex("v", "=", "w^{-1}")
        equation_2.scale(2)
        equation_3 = MathTex("w", "\\times","w^{-1}", "=", "1")
        equation_3.shift(UP*2).scale(2)

        self.play(Write(equation_1), Write(equation_2))
        self.wait(2)
        self.play(FadeOut(equation_1[2]))

        self.play(
            TransformMatchingShapes(
                VGroup(equation_1[0:2], equation_1[3:], equation_2[2].copy()),
                equation_3,
            )
        )

如果形状与不唯一匹配的形状，请查看transform -matchingshapes的实现，有一种方法来调整到底变成了什么。