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from manimlib.imports import *
import numpy as np
def func(coordinate):
x,y = coordinate[:2]
return np.array([
1.9*np.cos(x+2*y),
1.5*np.sin(x-2*y),
0
])
def coord(x,y,z=0):
return np.array([x,y,z])
class Instrument(Scene):
CONFIG = {
"x_coords": ([1, 2.2, 3.9, 3, -0, -0.2, 1]),
"y_coords": ([1.5, 1, -0.5, -2.0, -1.4, 0.5, 1.5]),
}
def setup(self):
self.tuples = list(zip(self.x_coords,self.y_coords))
dots = self.get_all_mobs()
def get_dots(self, coords):
dots = VGroup(*[Dot(coord(x,y)) for x,y in coords])
return dots
def get_all_mobs(self):
dots = self.get_dots(self.tuples)
return dots
class Curl_one(MovingCameraScene, Instrument):
def setup(self):
MovingCameraScene.setup(self)
Instrument.setup(self)
def construct(self):
vec = VectorField(func)
frame_one = Circle(radius = 0.5).move_to(np.array([4, 2, 0]))
dot = Dot(frame_one.get_center()).scale(0.5)
surface = VMobject()
surface.set_points_smoothly([*[coord(x,y) for x,y in self.tuples]])
surface.move_to(dot.get_center()).set_stroke(width = 0.5)
label = TexMobject(r"A").scale(0.5).next_to(dot, LEFT+UP, buff = SMALL_BUFF)
#self.add(frame_one)
self.camera_frame.save_state()
self.play(
self.camera_frame.set_width,frame_one.get_width()*7.0,
self.camera_frame.move_to,frame_one)
self.add(vec, dot, label)
lines = StreamLines(
func,
virtual_time=7,
min_magnitude=0,
max_magnitude=8,
)
lines1 = AnimatedStreamLines(
lines,
line_anim_class=ShowPassingFlashWithThinningStrokeWidth
)
self.add(lines1)
self.wait(3)
self.play(Restore(self.camera_frame))
self.wait(2)
self.add(surface)
self.wait(3)
self.play(ApplyMethod(surface.scale, 0.01), run_time = 2)
self.remove(surface)
self.wait(2)
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