From 42c96d26831f9b99a3f01e52e6a51b3cdce4ceb5 Mon Sep 17 00:00:00 2001
From: Vaishnavi
Date: Tue, 26 May 2020 03:10:09 +0530
Subject: Update example.py
---
.../Critical Points/example.py | 62 +++++++++++++++++-----
1 file changed, 49 insertions(+), 13 deletions(-)
diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/example.py b/FSF-2020/approximations-and-optimizations/Critical Points/example.py
index 46c8bd9..bdbb6ed 100644
--- a/FSF-2020/approximations-and-optimizations/Critical Points/example.py
+++ b/FSF-2020/approximations-and-optimizations/Critical Points/example.py
@@ -4,30 +4,66 @@ class ExampleAnimation(ThreeDScene):
def construct(self):
axes = ThreeDAxes()
+ f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)
+ d = Dot(np.array([0,0,0]), color = '#800000') #---- Critical Point
+ d_text = TextMobject("$(0.2,0.2)$",color = '#DC143C').scale(0.5).shift(0.2*UP) #----x = 0.2, y = 0.2
+ r_text=TextMobject("Critical Point",color = '#00FFFF').shift(0.3*DOWN).scale(0.6)
+
#----f(x,y) = (y-x)(1-2x-3y)
- e = ParametricSurface(
+ f = ParametricSurface(
lambda u, v: np.array([
u,
v,
(v-u)*(1-2*u-3*v)
]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [PURPLE_D, PURPLE_E],
- resolution=(20, 20)).scale(1)
-
- self.set_camera_orientation(phi = 35 * DEGREES, theta = -40 * DEGREES)
+ resolution=(20, 20)).scale(1)
- f_text = TextMobject("$f(x,y) = (y-x)(1-2x-3y)$").to_corner(UL)
- d = Dot(np.array([0,0,0]), color = '#800000') #---- Critical Point
- d_text = TextMobject("$(0.2,0.2)$",color = '#DC143C').scale(0.5).shift(0.2*UP) #----x = 0.2, y = 0.2
- r_text = TextMobject("Critical Point",color = '#00FFFF').shift(0.3*DOWN).scale(0.6)
+ fx_text = TextMobject("$\\frac{\\partial f}{\\partial x} = 4x-1+y$").to_corner(UL)
+
+ #----fx = 4x-1+y
+ fx = ParametricSurface(
+ lambda u, v: np.array([
+ u,
+ v,
+ 4*u-1+v
+ ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [BLUE_D, BLUE_E],
+ resolution = (20, 20)).scale(1)
+
+ fy_text = TextMobject("$\\frac{\\partial f}{\\partial y} = -6y+1+x$").to_corner(UL)
+
+ #----fy = -6y+1+x
+ fy = ParametricSurface(
+ lambda u, v: np.array([
+ u,
+ v,
+ -6*v+1+u
+ ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_D, RED_E],
+ resolution = (20, 20)).scale(1)
+
+ self.set_camera_orientation(phi = 75 * DEGREES)
+ self.begin_ambient_camera_rotation(rate=0.2)
+
+ group1 = VGroup(axes,f,d,d_text,r_text,f_text)
+ group2 = VGroup(axes,fx,fx_text)
self.add_fixed_in_frame_mobjects(f_text)
- self.wait(2)
+ self.wait(1)
self.add(axes)
- self.play(Write(e))
- self.wait(2)
- self.play(ShowCreation(d))
+ self.play(Write(f),Write(d))
self.wait(1)
self.add_fixed_in_frame_mobjects(d_text)
self.wait(1)
self.add_fixed_in_frame_mobjects(r_text)
- self.wait(3)
+ self.wait(2)
+ self.play(FadeOut(group1))
+ self.wait(1)
+ self.add_fixed_in_frame_mobjects(fx_text)
+ self.add(axes)
+ self.play(Write(fx))
+ self.wait(2)
+ self.play(FadeOut(group2))
+ self.wait(1)
+ self.add_fixed_in_frame_mobjects(fy_text)
+ self.add(axes)
+ self.play(Write(fy))
+ self.wait(2)
--
cgit