1 Manim例子一

最近接触到manim，觉得挺有趣的，来玩一玩把。如下是一个使用manim画的高斯分布的动画。

from manim import *
import numpy as np


class GaussianDistribution(Scene):
    def construct(self):
        # 创建坐标系
        axes = Axes(
            x_range=[-4, 4, 1],
            y_range=[0, 0.5, 0.1],
            axis_config={"color": BLUE},
        )

        # 添加坐标轴标签
        labels = axes.get_axis_labels(
            x_label=MathTex("x"),
            y_label=MathTex("P(x)")
        )

        # 定义高斯分布函数
        def gaussian(x, mu=0, sigma=1):
            return (1 / (sigma * np.sqrt(2 * np.pi))) * np.exp(-0.5 * ((x - mu) / sigma) ** 2)

        # 创建高斯分布曲线
        gaussian_curve = axes.plot(
            lambda x: gaussian(x),
            color=YELLOW,
            x_range=[-4, 4]
        )

        # 创建曲线方程标签
        equation = MathTex(
            "P(x) = \\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-\\frac{(x-\\mu)^2}{2\\sigma^2}}",
            color=YELLOW
        ).scale(0.8).to_edge(UP)

        # 添加动画
        self.play(Create(axes), Write(labels))
        self.play(Write(equation))
        self.play(Create(gaussian_curve), run_time=2)

        # 添加说明文字
        description = Text(
            "高斯分布（正态分布）：μ=0, σ=1",
            font="SimSun"
        ).scale(0.5).to_edge(DOWN)

        self.play(Write(description))

        # 添加动态效果：显示不同参数的高斯分布
        sigma_values = [0.5, 1, 2]
        colors = [RED, YELLOW, GREEN]

        for sigma, color in zip(sigma_values, colors):
            new_curve = axes.plot(
                lambda x: gaussian(x, sigma=sigma),
                color=color,
                x_range=[-4, 4]
            )
            new_description = Text(
                f"高斯分布：μ=0, σ={sigma}",
                font="SimSun"
            ).scale(0.5).to_edge(DOWN)

            self.play(
                Transform(gaussian_curve, new_curve),
                Transform(description, new_description),
                run_time=1.5
            )
            self.wait(0.5)

        self.wait(2)

if __name__ == "__main__":
    with tempconfig({
        "preview": True,
        "quality": "medium_quality",
        "format": "mp4"
    }):
        scene = GaussianDistribution()
        scene.render()```


```bash
2动画效果

2 动画效果