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from manimlib.imports import *
import numpy as np
def function(coordinate):
x,y = coordinate[:2]
return np.array([
0.4*x,
0.4*y,
0.4*np.cos(np.sqrt((x**2)+(y**2))
)])
class ThreeDVector(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
self.add(axes)
self.set_camera_orientation(phi=45*DEGREES,theta=60*DEGREES,distance=40)
self.begin_ambient_camera_rotation(rate=0.5)
surface = ParametricSurface(
lambda u, v: np.array([
0.4*u,
0.4*v,
0.4*np.cos(np.sqrt((u**2)+(v**2)))
]),u_min=-20,u_max=20, v_min=-10,v_max=10).set_color(BLUE_E).fade(0.7)
text_func = TexMobject(r"\textbf{Input: Function}").shift(4.4*LEFT+3.3*UP).scale(0.7)
text_field = TexMobject(r"\textbf{Output: Vector Field}").shift(4.4*LEFT+3.3*UP).scale(0.7)
self.add_fixed_in_frame_mobjects(text_func)
self.play(ShowCreation(surface))
self.wait(3)
field = VectorField(function)
self.play(FadeIn(field), FadeOut(text_func))
self.add_fixed_in_frame_mobjects(text_field)
self.wait()
self.play(FadeOut(surface))
self.wait()
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