From 69c003a243ea5f36e52e8010c4fa63fef7d7bbb4 Mon Sep 17 00:00:00 2001 From: vishal786-commits Date: Wed, 24 Jun 2020 13:23:04 +0530 Subject: Create file4_surface.py --- .../surface-integrals/file4_surface.py | 237 +++++++++++++++++++++ 1 file changed, 237 insertions(+) create mode 100644 FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py (limited to 'FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals') diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py new file mode 100644 index 0000000..3c2e145 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py @@ -0,0 +1,237 @@ +from manimlib.imports import * + +class Surf(ThreeDScene): + + CONFIG = { + "axes_config": { + "x_min": 0, + "x_max": 8, + "y_min": 0, + "y_max": 8, + "z_min": 0, + "z_max": 6, + "a":2 ,"b": 6, "c":1 , "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("$S$").set_color(BLUE) + self.add_fixed_in_frame_mobjects(fn_text) + fn_text.to_edge(TOP,buff=MED_SMALL_BUFF) + + R=TextMobject("D").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=YELLOW, + stroke_width=0.8, + stroke_color=WHITE, + ) + + + self.begin_ambient_camera_rotation(rate=0.05) + self.play(Write(surface)) + # self.play(LaggedStart(ShowCreation(surface))) + + self.get_lines() + # self.play(FadeIn(self.axes.input_plane)) + self.wait(2) + self.stop_ambient_camera_rotation() + self.wait(1) + + def get_surface(self,axes, func, **kwargs): + config = { + "u_min": axes.c, + "u_max": axes.d, + "v_min": axes.a, + "v_max": axes.b, + "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,"WHITE")) + + 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: 1e-5 + ) + 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 + ######Code_by_Somnath_Pandit_https://github.com/panditsomnath10016git######### + + -- cgit From bd51f25304cd0305a20f448db306deb03cf1093c Mon Sep 17 00:00:00 2001 From: vishal786-commits Date: Wed, 24 Jun 2020 13:23:36 +0530 Subject: Rename file4_surface.py to file5_surface.py --- .../surface-integrals/file4_surface.py | 237 --------------------- .../surface-integrals/file5_surface.py | 237 +++++++++++++++++++++ 2 files changed, 237 insertions(+), 237 deletions(-) delete mode 100644 FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py create mode 100644 FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.py (limited to 'FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals') diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py deleted file mode 100644 index 3c2e145..0000000 --- a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file4_surface.py +++ /dev/null @@ -1,237 +0,0 @@ -from manimlib.imports import * - -class Surf(ThreeDScene): - - CONFIG = { - "axes_config": { - "x_min": 0, - "x_max": 8, - "y_min": 0, - "y_max": 8, - "z_min": 0, - "z_max": 6, - "a":2 ,"b": 6, "c":1 , "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("$S$").set_color(BLUE) - self.add_fixed_in_frame_mobjects(fn_text) - fn_text.to_edge(TOP,buff=MED_SMALL_BUFF) - - R=TextMobject("D").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=YELLOW, - stroke_width=0.8, - stroke_color=WHITE, - ) - - - self.begin_ambient_camera_rotation(rate=0.05) - self.play(Write(surface)) - # self.play(LaggedStart(ShowCreation(surface))) - - self.get_lines() - # self.play(FadeIn(self.axes.input_plane)) - self.wait(2) - self.stop_ambient_camera_rotation() - self.wait(1) - - def get_surface(self,axes, func, **kwargs): - config = { - "u_min": axes.c, - "u_max": axes.d, - "v_min": axes.a, - "v_max": axes.b, - "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,"WHITE")) - - 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: 1e-5 - ) - 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 - ######Code_by_Somnath_Pandit_https://github.com/panditsomnath10016git######### - - diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.py b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.py new file mode 100644 index 0000000..3c2e145 --- /dev/null +++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.py @@ -0,0 +1,237 @@ +from manimlib.imports import * + +class Surf(ThreeDScene): + + CONFIG = { + "axes_config": { + "x_min": 0, + "x_max": 8, + "y_min": 0, + "y_max": 8, + "z_min": 0, + "z_max": 6, + "a":2 ,"b": 6, "c":1 , "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("$S$").set_color(BLUE) + self.add_fixed_in_frame_mobjects(fn_text) + fn_text.to_edge(TOP,buff=MED_SMALL_BUFF) + + R=TextMobject("D").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=YELLOW, + stroke_width=0.8, + stroke_color=WHITE, + ) + + + self.begin_ambient_camera_rotation(rate=0.05) + self.play(Write(surface)) + # self.play(LaggedStart(ShowCreation(surface))) + + self.get_lines() + # self.play(FadeIn(self.axes.input_plane)) + self.wait(2) + self.stop_ambient_camera_rotation() + self.wait(1) + + def get_surface(self,axes, func, **kwargs): + config = { + "u_min": axes.c, + "u_max": axes.d, + "v_min": axes.a, + "v_max": axes.b, + "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,"WHITE")) + + 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: 1e-5 + ) + 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 + ######Code_by_Somnath_Pandit_https://github.com/panditsomnath10016git######### + + -- cgit From a865350d4775d430765d60cdaef021374c1435aa Mon Sep 17 00:00:00 2001 From: vishal786-commits Date: Wed, 24 Jun 2020 13:31:40 +0530 Subject: Add files via upload --- .../surface-integrals/file5_surface.gif | Bin 0 -> 7241572 bytes 1 file changed, 0 insertions(+), 0 deletions(-) create mode 100644 FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.gif (limited to 'FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals') diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.gif b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.gif new file mode 100644 index 0000000..27dcac8 Binary files /dev/null and b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/file5_surface.gif differ -- cgit From b5f5577b9a5fadd92febd2e9ead886469be4b0af Mon Sep 17 00:00:00 2001 From: vishal786-commits Date: Wed, 24 Jun 2020 13:33:20 +0530 Subject: Update README.md --- .../triple-and-surface-integrals/surface-integrals/README.md | 2 ++ 1 file changed, 2 insertions(+) (limited to 'FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals') diff --git a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/README.md b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/README.md index a4a1c84..a1de8b5 100644 --- a/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/README.md +++ b/FSF-2020/calculus-of-several-variables/triple-and-surface-integrals/surface-integrals/README.md @@ -6,3 +6,5 @@ ![file3_cube_sideC](sideC.gif) **file4_pauseandponder.py** ![file4_pauseandponder](pauseandponder.gif) +**file5_surface.py** +![file5_surface](file5_surface.gif) -- cgit