Bunch of more examples for the docs (#458)

* #added some examples to the camera scene

* #added 3 ZoomedScene examples

* #removed accidentally added files

* #added updater examples

* #added text examples

* #renamed example

* #added 3d example with other light source

* #added imagemobject examples

* # added one line of code

* # small fix

* # added 3d examples

* # added one advanced project

* fixed error

* small changes

* 3d render

* another idea with the file 3d_fix.rst

* # one more change

* some more formula examples

* fix indent

* remove reference to examples/3d_fix

* change default resolution for videos in doc to 480p30

* Apply suggestions leotrs

Co-authored-by: Leo Torres <leo@leotrs.com>

* Added credits and 3d scene changes

* # removed unnecessary lines

* # implemented lots of changes suggested be leotrs

* # updated credits

* # updated scene names

* Update docs/source/examples/shapes.rst

Co-authored-by: Leo Torres <leo@leotrs.com>

* updated credits

* updated examples entery

* Update camera_settings.rst

* changed two lines

* Update shapes.rst

* Update plots.rst

Co-authored-by: Benjamin Hackl <devel@benjamin-hackl.at>
Co-authored-by: Leo Torres <leo@leotrs.com>

Author: 3 people

docs/source/examples.rst

@@ -12,4 +12,4 @@ Examples
    examples/camera_settings
    examples/animations
    examples/neat_projects
-   examples/advanced_projects
+   examples/advanced_projects

docs/source/examples/3d.rst

@@ -2,7 +2,6 @@
 =================================
 
 .. manim:: Example3DNo1
-    :quality: medium
     :save_last_frame:
 
     class Example3DNo1(ThreeDScene):
@@ -19,3 +18,64 @@
             self.set_camera_orientation(phi=75 * DEGREES, theta=30 * DEGREES)
             self.add(axes, sphere)
 
+.. manim:: Example3DLightSourcePosition
+    :save_last_frame:
+
+    class Example3DLightSourcePosition(ThreeDScene):
+        def construct(self):
+            axes = ThreeDAxes()
+            sphere = ParametricSurface(
+                lambda u, v: np.array([
+                    1.5 * np.cos(u) * np.cos(v),
+                    1.5 * np.cos(u) * np.sin(v),
+                    1.5 * np.sin(u)
+                ]), v_min=0, v_max=TAU, u_min=-PI / 2, u_max=PI / 2,
+                checkerboard_colors=[RED_D, RED_E], resolution=(15, 32)
+            )
+            self.camera.light_source.move_to(3*IN) # changes the source of the light
+            self.set_camera_orientation(phi=75 * DEGREES, theta=30 * DEGREES)
+            self.add(axes, sphere)
+
+.. manim:: Example3DNo3
+
+    class Example3DNo3(ThreeDScene):
+        def construct(self):
+            axes = ThreeDAxes()
+            circle=Circle()
+            self.set_camera_orientation(phi=75 * DEGREES, theta=30 * DEGREES)
+            self.add(circle,axes)
+            self.begin_ambient_camera_rotation(rate=0.1)
+            self.wait(3)
+            self.stop_ambient_camera_rotation()
+            self.move_camera(phi=75 * DEGREES, theta=30 * DEGREES)
+            self.wait()
+
+.. manim:: Example3DNo4
+
+    class Example3DNo4(ThreeDScene):
+        def construct(self):
+            axes = ThreeDAxes()
+            circle=Circle()
+            self.set_camera_orientation(phi=75 * DEGREES, theta=30 * DEGREES)
+            self.add(circle,axes)
+            self.begin_3dillusion_camera_rotation(rate=2)
+            self.wait(PI)
+            self.stop_3dillusion_camera_rotation()
+
+.. manim:: Example3DNo5
+    :save_last_frame:
+
+    class Example3DNo5(ThreeDScene):
+        def construct(self):
+            curve1 = ParametricFunction(
+                lambda u: np.array([
+                    1.2 * np.cos(u),
+                    1.2 * np.sin(u),
+                    u * 0.05
+                ]), color=RED, t_min=-3 * TAU, t_max=5 * TAU,
+            ).set_shade_in_3d(True)
+            axes = ThreeDAxes()
+            self.add(axes, curve1)
+            self.set_camera_orientation(phi=80 * DEGREES, theta=-60 * DEGREES)
+            self.wait()
+

docs/source/examples/advanced_projects.rst

@@ -1,4 +1,91 @@
 Advanced Projects
 =================================
 
-This page is currently under construction. It will feature a selection of advanced projects built with manim.
+.. manim:: ExampleSineCurve
+
+    class ExampleSineCurve(Scene):
+        # contributed by heejin_park, https://infograph.tistory.com/230 
+        def construct(self):
+            self.show_axis()
+            self.show_circle()
+            self.move_dot_and_draw_curve()
+            self.wait()
+
+        def show_axis(self):
+            x_start = np.array([-6,0,0])
+            x_end = np.array([6,0,0])
+
+            y_start = np.array([-4,-2,0])
+            y_end = np.array([-4,2,0])
+
+            x_axis = Line(x_start, x_end)
+            y_axis = Line(y_start, y_end)
+
+            self.add(x_axis, y_axis)
+            self.add_x_labels()
+
+            self.orgin_point = np.array([-4,0,0])
+            self.curve_start = np.array([-3,0,0])
+
+        def add_x_labels(self):
+            x_labels = [
+                TexMobject("\pi"), TexMobject("2 \pi"),
+                TexMobject("3 \pi"), TexMobject("4 \pi"),
+            ]
+
+            for i in range(len(x_labels)):
+                x_labels[i].next_to(np.array([-1 + 2*i, 0, 0]), DOWN)
+                self.add(x_labels[i])
+
+        def show_circle(self):
+            circle = Circle(radius=1)
+            circle.move_to(self.orgin_point)
+
+            self.add(circle)
+            self.circle = circle
+
+        def move_dot_and_draw_curve(self):
+            orbit = self.circle
+            orgin_point = self.orgin_point
+
+            dot = Dot(radius=0.08, color=YELLOW)
+            dot.move_to(orbit.point_from_proportion(0))
+            self.t_offset = 0
+            rate = 0.25
+
+            def go_around_circle(mob, dt):
+                self.t_offset += (dt * rate)
+                # print(self.t_offset)
+                mob.move_to(orbit.point_from_proportion(self.t_offset % 1))
+
+            def get_line_to_circle():
+                return Line(orgin_point, dot.get_center(), color=BLUE)
+
+            def get_line_to_curve():
+                x = self.curve_start[0] + self.t_offset * 4
+                y = dot.get_center()[1]
+                return Line(dot.get_center(), np.array([x,y,0]), color=YELLOW_A, stroke_width=2 )
+
+
+            self.curve = VGroup()
+            self.curve.add(Line(self.curve_start,self.curve_start))
+            def get_curve():
+                last_line = self.curve[-1]
+                x = self.curve_start[0] + self.t_offset * 4
+                y = dot.get_center()[1]
+                new_line = Line(last_line.get_end(),np.array([x,y,0]), color=YELLOW_D)
+                self.curve.add(new_line)
+
+                return self.curve
+
+            dot.add_updater(go_around_circle)
+
+            origin_to_circle_line = always_redraw(get_line_to_circle)
+            dot_to_curve_line = always_redraw(get_line_to_curve)
+            sine_curve_line = always_redraw(get_curve)
+
+            self.add(dot)
+            self.add(orbit, origin_to_circle_line, dot_to_curve_line, sine_curve_line)
+            self.wait(8.5)
+
+            dot.remove_updater(go_around_circle)

docs/source/examples/animations.rst

@@ -11,17 +11,98 @@ Updaters
 ##########
 
 .. manim:: Updater1Example
-    :quality: medium
 
     class Updater1Example(Scene):
         def construct(self):
-            curve_reference = Line(ORIGIN, LEFT).set_color(GREEN)
-            self.add(curve_reference)
+            def my_rotation_updater(mobj,dt):
+                mobj.rotate_about_origin(dt)
+            line_reference = Line(ORIGIN, LEFT).set_color(WHITE)
+            line_moving = Line(ORIGIN, LEFT).set_color(BLUE)
+            line_moving.add_updater(my_rotation_updater)
+            self.add(line_reference, line_moving)
+            self.wait(PI)
 
-            def update_curve(mob, dt):
-                mob.rotate_about_origin(dt)
+.. manim:: Updater2Example
 
-            curve2 = Line(ORIGIN, LEFT)
-            curve2.add_updater(update_curve)
-            self.add(curve_reference, curve2)
-            self.wait(PI)
+    class Updater2Example(Scene):
+        def construct(self):
+            def updater_forth(mobj, dt):
+                mobj.rotate_about_origin(dt)
+            def updater_back(mobj, dt):
+                mobj.rotate_about_origin(-dt)
+            line_reference = Line(ORIGIN, LEFT).set_color(WHITE)
+            line_moving = Line(ORIGIN, LEFT).set_color(YELLOW)
+            line_moving.add_updater(updater_forth)
+            self.add(line_reference, line_moving)
+            self.wait(2)
+            line_moving.remove_updater(updater_forth)
+            line_moving.add_updater(updater_back)
+            self.wait(2)
+            line_moving.remove_updater(updater_back)
+            self.wait(0.5)
+
+.. manim:: Example3
+
+    class Example3(Scene):
+        def construct(self):
+            number_line = NumberLine()  ##with all your parameters and stuff
+            pointer = Vector(DOWN)
+            label = MathTex("x").add_updater(lambda m: m.next_to(pointer, UP))
+
+            pointer_value = ValueTracker(0)
+            pointer.add_updater(
+                lambda m: m.next_to( number_line.n2p(pointer_value.get_value()), UP)
+            )
+            self.add(number_line, pointer, label)
+            self.play(pointer_value.set_value, 5)
+            self.wait()
+            self.play(pointer_value.set_value, 3)
+
+.. manim:: Example4
+
+    class Example4(Scene):
+        def construct(self):
+            path = VMobject()
+            dot = Dot()
+            path.set_points_as_corners([dot.get_center(), dot.get_center()])
+            def update_path(path):
+                previus_path = path.copy()
+                previus_path.add_points_as_corners([dot.get_center()])
+                path.become(previus_path)
+            path.add_updater(update_path)
+            self.add(path, dot)
+            self.play(Rotating(dot, radians=PI, about_point=RIGHT, run_time=2))
+            self.wait()
+            self.play(dot.shift, UP)
+            self.play(dot.shift, LEFT)
+            self.wait()
+
+.. manim:: Example1ValTracker
+
+    class Example1ValTracker(Scene):
+        def construct(self):
+            dot_disp = Dot().set_color(RED)
+            self.add(dot_disp)
+            tick_start = 1
+            tick_end = 2
+            val_tracker = ValueTracker(tick_start)
+            def dot_updater(mob):
+                mob.set_y(val_tracker.get_value())
+            dot_disp.add_updater(dot_updater)
+            self.play(val_tracker.set_value, tick_end, rate_func=linear)
+            self.wait()
+
+.. manim:: Example2ValTracker
+
+    class Example2ValTracker(Scene):
+        def construct(self):
+            tick_start = 0
+            tick_end = 2 * PI
+            val_tracker = ValueTracker(tick_start)
+            def my_rotation_updater(mobj):
+                mobj.rotate_about_origin(1 / 30) # be careful: This is framerate dependent!
+            line_reference = Line(ORIGIN, LEFT).set_color(WHITE)
+            line_moving = Line(ORIGIN, LEFT).set_color(ORANGE)
+            line_moving.add_updater(my_rotation_updater)
+            self.add(line_reference, line_moving)
+            self.play(val_tracker.set_value, tick_end, run_time=PI)

docs/source/examples/annotations.rst

@@ -2,7 +2,6 @@ Annotations
 =================================
 
 .. manim:: AnnotateBrace
-    :quality: medium
     :save_last_frame:
 
     class AnnotateBrace(Scene):