93 lines
2.5 KiB
Python
93 lines
2.5 KiB
Python
import manim
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from manim import *
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import numpy as np
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class PolarGraph(Scene):
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def construct(self):
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# 初始化参数跟踪器
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e = ValueTracker(0.01)
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# ===== 极坐标系部分 =====
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# 修正1：使用PolarPlane的正确拼写
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polar_plane = PolarPlane(
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radius_max=3,
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azimuth_step=6 # 极角刻度间隔（单位：度）
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).add_coordinates().shift(LEFT * 2)
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# 修正2：使用正确的参数方程
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polar_graph = always_redraw(
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lambda: ParametricFunction(
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lambda t: polar_plane.polar_to_point(2 * np.sin(3 * t), t),
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t_range=[0, e.get_value()],
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color=GREEN
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)
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)
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polar_dot = always_redraw(
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lambda: Dot(
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color=GREEN,
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radius=0.08
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).move_to(polar_graph.get_end())
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)
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# ===== 直角坐标系部分 =====
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axes = Axes(
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x_range=[0, 4, 1],
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y_range=[-3, 3, 1],
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x_length=3,
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y_length=3,
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axis_config={"color": BLUE}
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).shift(RIGHT * 4)
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axes.add_coordinates()
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cartesian_graph = always_redraw(
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lambda: axes.plot(
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lambda x: 2 * np.sin(3 * x),
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x_range=[0, e.get_value()],
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color=GREEN
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)
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)
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cartesian_dot = always_redraw(
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lambda: Dot(
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color=GREEN,
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radius=0.08
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).move_to(cartesian_graph.get_end())
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)
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# 公式标签
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title = MathTex(r"f(\theta) = 2\sin(3\theta)", color=GREEN).next_to(axes, UP)
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# ===== 动画序列 =====
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# 修正3：正确拼写LaggedStart
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self.play(
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LaggedStart(
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Create(polar_plane),
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Create(axes),
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Write(title),
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lag_ratio=0.5
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),
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run_time=3
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)
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self.add(polar_graph, cartesian_graph, polar_dot, cartesian_dot)
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# 参数变化动画
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self.play(
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e.animate.set_value(PI),
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run_time=10,
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rate_func=linear
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)
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self.wait()
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if __name__ == '__main__':
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config = {
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"quality": "low_quality",
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"preview": True,
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"media_dir": "./output"
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}
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with manim.tempconfig(config):
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scene = PolarGraph()
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scene.render() |