路径¶
确定点集之间转换路径的函数。
函数
- clockwise_path()[来源]¶
此函数通过顺时针移动半圆来变换每个点。
示例
示例：顺时针路径示例 ¶
from manim import * class ClockwisePathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.clockwise_path(), run_time=2, ) ) self.wait()
class ClockwisePathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.clockwise_path(), run_time=2, ) ) self.wait()- Return type:
- counterclockwise_path()[source]¶
此函数通过围绕半圆逆时针移动来变换每个点。
示例
示例：逆时针路径示例 ¶
from manim import * class CounterclockwisePathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.counterclockwise_path(), run_time=2, ) ) self.wait()
class CounterclockwisePathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.counterclockwise_path(), run_time=2, ) ) self.wait()- Return type:
- path_along_arc(arc_angle, axis=array([0., 0., 1.]))[source]¶
此函数通过沿着圆弧移动每个点来转换每个点。
- Parameters:
arc_angle (float) – 每个点围绕圆弧遍历的角度。
axis (Vector3D) – 旋转的轴。
- Return type:
示例
示例：PathAlongArcExample ¶
from manim import * class PathAlongArcExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.path_along_arc(TAU * 2 / 3), run_time=3, ) ) self.wait()
class PathAlongArcExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.path_along_arc(TAU * 2 / 3), run_time=3, ) ) self.wait()
- path_along_circles(arc_angle, circles_centers, axis=array([0., 0., 1.]))[source]¶
此函数通过将每个点大致沿一个圆移动来转换每个点，每个圆都有其指定的中心。
路径可以被看作是每个点从起始位置到目的地平滑地改变其轨道。
- Parameters:
arc_angle (float) – 每个点围绕准圆遍历的角度。
circles_centers (ndarray) – 每个点的拟圆旋转中心的中心。
axis (Vector3D) – 旋转的轴。
- Return type:
示例
示例：PathAlongCirclesExample ¶
from manim import * class PathAlongCirclesExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) circle_center = Dot(3 * LEFT) self.add(circle_center) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.path_along_circles( 2 * PI, circle_center.get_center() ), run_time=3, ) ) self.wait()
class PathAlongCirclesExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) circle_center = Dot(3 * LEFT) self.add(circle_center) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.path_along_circles( 2 * PI, circle_center.get_center() ), run_time=3, ) ) self.wait()
- spiral_path(angle, axis=array([0., 0., 1.]))[来源]¶
此函数通过沿着螺旋线移动到目的地来变换每个点。
- Parameters:
angle (float) – 每个点围绕螺旋线移动的角度。
axis (Vector3D) – 旋转的轴。
- Return type:
示例
示例：SpiralPathExample ¶
from manim import * class SpiralPathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.spiral_path(2 * TAU), run_time=5, ) ) self.wait()
class SpiralPathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.spiral_path(2 * TAU), run_time=5, ) ) self.wait()
- straight_path()[来源]¶
最简单的路径函数。集合中的每个点都沿着直线路径向目的地移动。
示例
示例：StraightPathExample ¶
from manim import * class StraightPathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.straight_path(), run_time=2, ) ) self.wait()
class StraightPathExample(Scene): def construct(self): colors = [RED, GREEN, BLUE] starting_points = VGroup( *[ Dot(LEFT + pos, color=color) for pos, color in zip([UP, DOWN, LEFT], colors) ] ) finish_points = VGroup( *[ Dot(RIGHT + pos, color=color) for pos, color in zip([ORIGIN, UP, DOWN], colors) ] ) self.add(starting_points) self.add(finish_points) for dot in starting_points: self.add(TracedPath(dot.get_center, stroke_color=dot.get_color())) self.wait() self.play( Transform( starting_points, finish_points, path_func=utils.paths.straight_path(), run_time=2, ) ) self.wait()