From 3ee1b89d832f3e81c16a9be2f1ca6a4facfc479f Mon Sep 17 00:00:00 2001 From: nishanpoojary Date: Sat, 25 Jul 2020 10:53:17 +0530 Subject: Delete file2_partial_deriv_hill.py --- .../file2_partial_deriv_hill.py | 122 --------------------- 1 file changed, 122 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file2_partial_deriv_hill.py diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file2_partial_deriv_hill.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file2_partial_deriv_hill.py deleted file mode 100644 index bfb7687..0000000 --- a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/partial-derivatives/file2_partial_deriv_hill.py +++ /dev/null @@ -1,122 +0,0 @@ -from manimlib.imports import * - -class Hill(ThreeDScene): - def construct(self): - axes = ThreeDAxes() - - function = ParametricSurface( - lambda u, v: np.array([ - 1.2*np.sin(u)*np.cos(v), - 1.2*np.sin(u)*np.sin(v), - -1.2*1.2*np.sin(u)*np.sin(u)*(1+0.5*np.sin(v)*np.sin(v))+2 - ]),u_min=0,u_max=PI/2,v_min=0,v_max=2*PI,checkerboard_colors=[GREEN_C, GREEN_E], - resolution=(15, 32)).scale(1) - - func_x =ParametricFunction( - lambda u : np.array([ - u, - 0, - 2 - u*u - ]),color=RED_E,t_min=-1.2,t_max=1.2, - ) - - func_y =ParametricFunction( - lambda u : np.array([ - 0, - u, - 2 - 1.5*u*u - ]),color=PINK,t_min=-1.2,t_max=1.2, - ) - - self.set_camera_orientation(phi=60 * DEGREES, theta = 0*DEGREES) - #self.set_camera_orientation(phi=45 * DEGREES, theta = -20*DEGREES) - - self.add(axes) - axis = TextMobject(r"X",r"Y",r"Z") - axis[0].move_to(6*RIGHT) - axis[1].move_to(6*UP) - axis[2].move_to(np.array([0,0,3.7])) - - self.add_fixed_orientation_mobjects(axis[2]) - self.add_fixed_orientation_mobjects(axis[0]) - self.add_fixed_orientation_mobjects(axis[1]) - - self.play(ShowCreation(function)) - self.wait() - - self.move_camera(phi=60 * DEGREES, theta = 45*DEGREES) - #self.play(ShowCreation(func_x)) - - text_x = TextMobject("Slope of the hill along", r"$x$", "axis", color = YELLOW_C).scale(0.6).move_to(2.7*UP + 3.5*RIGHT) - text_x[1].set_color(PINK) - - - slope_text_x = TexMobject("Slope =", "{\\partial", "f", "\\over", "\\partial", "x}").scale(0.6).move_to(2*UP + 3.5*RIGHT) - slope_text_x[0].set_color(BLUE_E) - slope_text_x.set_color_by_tex("\\partial",YELLOW_C) - slope_text_x.set_color_by_tex("f",RED_E) - slope_text_x[5].set_color(PINK) - - self.add_fixed_in_frame_mobjects(text_x, slope_text_x) - - dot_x = Dot().rotate(PI/2).set_color(YELLOW_E) - alpha_x = ValueTracker(0) - vector_x = self.get_tangent_vector(alpha_x.get_value(),func_x,scale=1.5) - dot_x.add_updater(lambda m: m.move_to(vector_x.get_center())) - self.play( - ShowCreation(func_x), - GrowFromCenter(dot_x), - GrowArrow(vector_x) - ) - vector_x.add_updater( - lambda m: m.become( - self.get_tangent_vector(alpha_x.get_value()%1,func_x,scale=1.5) - ) - ) - - self.add(vector_x,dot_x) - - self.play(alpha_x.increment_value, 1, run_time=10, rate_func=linear) - - #self.move_camera(phi=60 * DEGREES, theta = 0*DEGREES) - self.play(FadeOut(vector_x), FadeOut(dot_x), FadeOut(func_x), FadeOut(text_x), FadeOut(slope_text_x)) - - text_y = TextMobject("Slope of the hill along", r"$y$", "axis", color = YELLOW_C).scale(0.6).move_to(2.7*UP + 3.5*RIGHT) - text_y[1].set_color(RED_C) - - - slope_text_y = TexMobject("Slope =", "{\\partial", "f", "\\over", "\\partial", "x}").scale(0.6).move_to(2*UP + 3.5*RIGHT) - slope_text_y[0].set_color(BLUE_E) - slope_text_y.set_color_by_tex("\\partial",YELLOW_C) - slope_text_y.set_color_by_tex("f",PINK) - slope_text_y[5].set_color(RED_C) - - self.add_fixed_in_frame_mobjects(text_y, slope_text_y) - - dot_y = Dot().rotate(PI/2).set_color(BLUE_E) - alpha_y = ValueTracker(0) - vector_y = self.get_tangent_vector(alpha_y.get_value(),func_y,scale=1.5) - dot_y.add_updater(lambda m: m.move_to(vector_y.get_center())) - self.play( - ShowCreation(func_y), - GrowFromCenter(dot_y), - GrowArrow(vector_y) - ) - vector_y.add_updater( - lambda m: m.become( - self.get_tangent_vector(alpha_y.get_value()%1,func_y,scale=1.5) - ) - ) - - self.add(vector_y,dot_y) - self.play(alpha_y.increment_value, 1, run_time=10, rate_func=linear) - self.play(FadeOut(vector_y), FadeOut(dot_y), FadeOut(func_y), FadeOut(text_y), FadeOut(slope_text_y)) - self.wait(2) - - def get_tangent_vector(self, proportion, curve, dx=0.001, scale=1): - coord_i = curve.point_from_proportion(proportion) - coord_f = curve.point_from_proportion(proportion + dx) - reference_line = Line(coord_i,coord_f) - unit_vector = reference_line.get_unit_vector() * scale - vector = Line(coord_i - unit_vector, coord_i + unit_vector, color = ORANGE, buff=0) - return vector \ No newline at end of file -- cgit