diff options
Diffstat (limited to 'FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py')
| -rw-r--r-- | FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py | 236 |
1 files changed, 0 insertions, 236 deletions
diff --git a/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py b/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py deleted file mode 100644 index a794f46..0000000 --- a/FSF-2020/integrals-of-multivariable-functions/double-integrals/surface.py +++ /dev/null @@ -1,236 +0,0 @@ -from manimlib.imports import * - -class SurfacesAnimation(ThreeDScene): - - CONFIG = { - "axes_config": { - "x_min": 0, - "x_max": 8, - "y_min": 0, - "y_max": 8, - "z_min": 0, - "z_max": 6, - "a":1 ,"b": 6, "c":2 , "d":6, - "axes_shift":-3*OUT + 5*LEFT, - "x_axis_config": { - "tick_frequency": 1, - # "include_tip": False, - }, - "y_axis_config": { - "tick_frequency": 1, - # "include_tip": False, - }, - "z_axis_config": { - "tick_frequency": 1, - # "include_tip": False, - }, - "num_axis_pieces": 1, - }, - "default_graph_style": { - "stroke_width": 2, - "stroke_color": WHITE, - }, - "default_surface_config": { - "fill_opacity": 0.5, - "checkerboard_colors": [LIGHT_GREY], - "stroke_width": 0.5, - "stroke_color": WHITE, - "stroke_opacity": 0.5, - }, - "Func": lambda x,y: 2+y/4+np.sin(x) - } - - - def construct(self): - - self.setup_axes() - self.set_camera_orientation(distance=35, - phi=80 * DEGREES, - theta=-80 * DEGREES, - ) - - fn_text=TextMobject("$z=f(x,y)$").set_color(PINK) - self.add_fixed_in_frame_mobjects(fn_text) - fn_text.to_edge(TOP,buff=MED_SMALL_BUFF) - - R=TextMobject("R").set_color(BLACK).scale(3) - R.move_to(self.axes.input_plane,IN) - self.add(R) - - #get the surface - surface= self.get_surface( - self.axes, lambda x , y: - self.Func(x,y) - ) - surface.set_style( - fill_opacity=0.8, - fill_color=PINK, - stroke_width=0.8, - stroke_color=WHITE, - ) - - - self.begin_ambient_camera_rotation(rate=0.07) - self.play(Write(surface)) - # self.play(LaggedStart(ShowCreation(surface))) - - self.get_lines() - # self.play(FadeIn(self.axes.input_plane)) - self.wait(3) - - def get_surface(self,axes, func, **kwargs): - config = { - "u_min": axes.a, - "u_max": axes.b, - "v_min": axes.c, - "v_max": axes.d, - "resolution": ( - (axes.y_max - axes.y_min) // axes.y_axis.tick_frequency, - (axes.x_max - axes.x_min) // axes.x_axis.tick_frequency, - ), - } - - config.update(self.default_surface_config) - config.update(kwargs) - return ParametricSurface( - lambda x,y : axes.c2p( - x, y, func(x, y) - ), - **config - ) - - def get_lines(self): - axes = self.axes - labels=[axes.x_axis.n2p(axes.a), axes.x_axis.n2p(axes.b), axes.y_axis.n2p(axes.c), - axes.y_axis.n2p(axes.d)] - - - surface_corners=[] - for x,y,z in self.region_corners: - surface_corners.append([x,y,self.Func(x,y)]) - - lines=VGroup() - for start , end in zip(surface_corners, - self.region_corners): - lines.add(self.draw_lines(start,end,"RED")) - - for start , end in zip(labels, - self.region_corners): - # lines.add(self.draw_lines(start,end,"BLUE")) - # print (start,end) - pass - self.play(ShowCreation(lines)) - - - def draw_lines(self,start,end,color): - start=self.axes.c2p(*start) - end=self.axes.c2p(*end) - line=DashedLine(start,end,color=color) - - return line - - def get_three_d_axes(self, include_labels=True, include_numbers=True, **kwargs): - config = dict(self.axes_config) - config.update(kwargs) - axes = ThreeDAxes(**config) - axes.set_stroke(width=2) - - if include_numbers: - self.add_axes_numbers(axes) - - if include_labels: - self.add_axes_labels(axes) - - # Adjust axis orientation - axes.x_axis.rotate( - 90 * DEGREES, RIGHT, - about_point=axes.c2p(0, 0, 0), - ) - axes.y_axis.rotate( - 90 * DEGREES, UP, - about_point=axes.c2p(0, 0, 0), - ) - - # Add xy-plane - input_plane = self.get_surface( - axes, lambda x, t: 0 - ) - input_plane.set_style( - fill_opacity=0.5, - fill_color=TEAL, - stroke_width=0, - stroke_color=WHITE, - ) - - axes.input_plane = input_plane - - self.region_corners=[ - input_plane.get_corner(pos) for pos in (DL,DR,UR,UL)] - - return axes - - - def setup_axes(self): - axes = self.get_three_d_axes(include_labels=True) - axes.add(axes.input_plane) - axes.scale(1) - # axes.center() - axes.shift(axes.axes_shift) - - self.add(axes) - self.axes = axes - - def add_axes_numbers(self, axes): - x_axis = axes.x_axis - y_axis = axes.y_axis - tex_vals_x = [ - ("a", axes.a), - ("b", axes.b), - ] - tex_vals_y=[ - ("c", axes.c), - ("d", axes.d) - ] - x_labels = VGroup() - y_labels = VGroup() - for tex, val in tex_vals_x: - label = TexMobject(tex) - label.scale(1) - label.next_to(x_axis.n2p(val), DOWN) - x_labels.add(label) - x_axis.add(x_labels) - x_axis.numbers = x_labels - - for tex, val in tex_vals_y: - label = TexMobject(tex) - label.scale(1.5) - label.next_to(y_axis.n2p(val), LEFT) - label.rotate(90 * DEGREES) - y_labels.add(label) - - y_axis.add(y_labels) - y_axis.numbers = y_labels - - return axes - - def add_axes_labels(self, axes): - x_label = TexMobject("x") - x_label.next_to(axes.x_axis.get_end(), RIGHT) - axes.x_axis.label = x_label - - y_label = TextMobject("y") - y_label.rotate(90 * DEGREES, OUT) - y_label.next_to(axes.y_axis.get_end(), UP) - axes.y_axis.label = y_label - - z_label = TextMobject("z") - z_label.rotate(90 * DEGREES, RIGHT) - z_label.next_to(axes.z_axis.get_zenith(), RIGHT) - axes.z_axis.label = z_label - for axis in axes: - axis.add(axis.label) - return axes - - - -#uploaded by Somnath Pandit.FSF2020_Double_Integral |