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from manimlib.imports import*
import math as m
class Constraints(ThreeDScene):
def construct(self):
axes = ThreeDAxes().rotate(m.radians(75))
label_x = TextMobject("$x$").shift([-5.5,1,0]).fade(0.4) #---- x axis
label_y = TextMobject("$y$").shift([1,5.5,0]).rotate(-4.5).fade(0.4) #---- y axis
cylinder = ParametricSurface(
lambda u, v: np.array([
np.cos(TAU * u),
np.sin(TAU * u),
2 * (1-1.5*v)
]),checkerboard_colors=[YELLOW_C,YELLOW_D,YELLOW_E]).shift([0.5,0.5,-0.13]).scale(1)
plane = ParametricSurface(
lambda u, v: np.array([
u,
v,
u+v
]),checkerboard_colors=[TEAL_C,TEAL_D,TEAL_E]).shift([0,0,0]).rotate(m.radians(-40),RIGHT).scale(4).fade(0.3)
c = Circle(color='#FF00FF',fill_opacity=0.3).shift([0.7,-1.3,0.4]).rotate(2.5,UP).scale(1.32)
f_text = TextMobject("$f(x,y)=x^2+y^2+z^2$",color = '#FFA074').scale(0.6).to_corner(UL)
g_text = TextMobject("$g(x,y)=x^2+y^2+1$",color = '#FFA074').scale(0.6).to_corner(UL)
h_text = TextMobject("$h(x,y)=x+y-z=1$",color = '#FFA074').scale(0.6).to_corner(UL)
self.set_camera_orientation(phi=65*DEGREES,theta=95*DEGREES)
self.add(axes)
self.add(label_x)
self.add(label_y)
self.wait(1)
self.add_fixed_in_frame_mobjects(f_text)
self.play(Write(c))
self.wait(1)
self.play(FadeOut(f_text))
self.wait(1)
self.add_fixed_in_frame_mobjects(g_text)
self.play(Write(cylinder))
self.wait(1)
self.play(FadeOut(g_text))
self.wait(1)
self.add_fixed_in_frame_mobjects(h_text)
self.play(Write(plane))
self.wait(1)
self.play(FadeOut(h_text))
self.wait(1)
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