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| -rw-r--r-- | FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py | 70 |
1 files changed, 0 insertions, 70 deletions
diff --git a/FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py b/FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py deleted file mode 100644 index f9055e6..0000000 --- a/FSF-2020/approximations-and-optimizations/Critical Points/types_of_cp.py +++ /dev/null @@ -1,70 +0,0 @@ -from manimlib.imports import * - -class TypescpAnimation(ThreeDScene): - def construct(self): - axes = ThreeDAxes() - - r_text = TextMobject("Relative Maximum at ORIGIN",color ='#87CEFA') - f_text = TextMobject("$f(x,y) = -x^2-y^2$").to_corner(UL) - - #----graph of first function f(x,y) = -x**2-y**2 - f = ParametricSurface( - lambda u, v: np.array([ - u, - v, - -u**2-v**2 - ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [YELLOW_D, YELLOW_E], - resolution = (20, 20)).scale(1) - - r2_text = TextMobject("Saddle Point at ORIGIN",color ='#87CEFA') - f2_text = TextMobject("$f(x,y) = -x^2+y^2$").to_corner(UL) - - #----graph of second function f(x,y) = -x**2+y**2 - f2 = ParametricSurface( - lambda u, v: np.array([ - u, - v, - -u**2+v**2 - ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [RED_D, RED_E], - resolution = (20, 20)).scale(1) - - r3_text = TextMobject("Relative Minimum at ORIGIN",color ='#87CEFA') - f3_text = TextMobject("$f(x,y) = x^2+y^2$").to_corner(UL) - - #----graph of third function f(x,y) = x**2+y**2 - f3 = ParametricSurface( - lambda u, v: np.array([ - u, - v, - u**2+v**2 - ]),v_min = -1, v_max = 1, u_min = -1, u_max = 1, checkerboard_colors = [GREEN_D, GREEN_E], - resolution = (20, 20)).scale(1) - - self.set_camera_orientation(phi = 75 * DEGREES, theta = -45 * DEGREES ) - d = Dot(np.array([0,0,0]), color = '#800000') #---- critical point - - self.add_fixed_in_frame_mobjects(r_text) - self.wait(1) - self.play(FadeOut(r_text)) - self.add(axes) - self.play(Write(f),Write(d)) - self.add_fixed_in_frame_mobjects(f_text) - self.wait(2) - self.play(FadeOut(axes),FadeOut(f),FadeOut(f_text),FadeOut(d)) - - self.add_fixed_in_frame_mobjects(r2_text) - self.wait(1) - self.play(FadeOut(r2_text)) - self.add(axes) - self.play(Write(f2),Write(d)) - self.add_fixed_in_frame_mobjects(f2_text) - self.wait(2) - self.play(FadeOut(axes),FadeOut(f2),FadeOut(f2_text),FadeOut(d)) - - self.add_fixed_in_frame_mobjects(r3_text) - self.wait(1) - self.play(FadeOut(r3_text)) - self.add(axes) - self.play(Write(f3),Write(d)) - self.add_fixed_in_frame_mobjects(f3_text) - self.wait(2) |