mirror of
https://github.com/3b1b/manim.git
synced 2025-08-31 22:38:37 +00:00
Added ShowSpeedometer Scene
This commit is contained in:
Grant Sanderson
parent
bfce74522a
commit
9944a55f33
1 changed files with 142 additions and 43 deletions
185
eoc/chapter2.py
185
eoc/chapter2.py
|
|
@ -296,6 +296,10 @@ class FathersOfCalculus(Scene):
|
|||
self.dither()
|
||||
|
||||
class IntroduceCar(Scene):
|
||||
CONFIG = {
|
||||
"should_transition_to_graph" : True,
|
||||
"show_distance" : True,
|
||||
}
|
||||
def construct(self):
|
||||
point_A = DOWN+4*LEFT
|
||||
point_B = DOWN+5*RIGHT
|
||||
|
|
@ -308,6 +312,7 @@ class IntroduceCar(Scene):
|
|||
dot.add(label)
|
||||
|
||||
car = Car()
|
||||
self.car = car #For introduce_added_mobjects use in subclasses
|
||||
car.move_to(point_A)
|
||||
front_line = car.get_front_line()
|
||||
|
||||
|
|
@ -321,43 +326,57 @@ class IntroduceCar(Scene):
|
|||
self.add(A, B, line, car, time_label)
|
||||
self.play(ShowCreation(front_line))
|
||||
self.play(FadeOut(front_line))
|
||||
self.introduce_added_mobjects()
|
||||
self.play(
|
||||
MoveCar(car, point_B, run_time = 10),
|
||||
IncrementNumber(time_label[1], run_time = 11)
|
||||
IncrementNumber(time_label[1], run_time = 11),
|
||||
*self.get_added_movement_anims()
|
||||
)
|
||||
front_line = car.get_front_line()
|
||||
self.play(ShowCreation(front_line))
|
||||
self.play(FadeOut(front_line))
|
||||
self.play(
|
||||
GrowFromCenter(distance_brace),
|
||||
Write(distance)
|
||||
)
|
||||
self.dither()
|
||||
self.play(
|
||||
car.move_to, point_A,
|
||||
FadeOut(time_label),
|
||||
FadeOut(distance_brace),
|
||||
FadeOut(distance)
|
||||
)
|
||||
graph_scene = GraphCarTrajectory(skip_animations = True)
|
||||
origin = graph_scene.graph_origin
|
||||
top = graph_scene.coords_to_point(0, 100)
|
||||
new_length = np.linalg.norm(top-origin)
|
||||
new_point_B = point_A + new_length*RIGHT
|
||||
|
||||
group = VGroup(car, A, B, line)
|
||||
for mob in group:
|
||||
mob.generate_target()
|
||||
group.target = VGroup(*[m.target for m in group])
|
||||
B.target.shift(new_point_B - point_B)
|
||||
line.target.put_start_and_end_on(
|
||||
point_A, new_point_B
|
||||
)
|
||||
if self.show_distance:
|
||||
self.play(
|
||||
GrowFromCenter(distance_brace),
|
||||
Write(distance)
|
||||
)
|
||||
self.dither()
|
||||
|
||||
group.target.rotate(np.pi/2, about_point = point_A)
|
||||
group.target.shift(graph_scene.graph_origin - point_A)
|
||||
self.play(MoveToTarget(group, path_arc = np.pi/2))
|
||||
self.dither()
|
||||
if self.should_transition_to_graph:
|
||||
self.play(
|
||||
car.move_to, point_A,
|
||||
FadeOut(time_label),
|
||||
FadeOut(distance_brace),
|
||||
FadeOut(distance),
|
||||
)
|
||||
graph_scene = GraphCarTrajectory(skip_animations = True)
|
||||
origin = graph_scene.graph_origin
|
||||
top = graph_scene.coords_to_point(0, 100)
|
||||
new_length = np.linalg.norm(top-origin)
|
||||
new_point_B = point_A + new_length*RIGHT
|
||||
car_line_group = VGroup(car, A, B, line)
|
||||
for mob in car_line_group:
|
||||
mob.generate_target()
|
||||
car_line_group.target = VGroup(*[
|
||||
m.target for m in car_line_group
|
||||
])
|
||||
B = car_line_group[2]
|
||||
B.target.shift(new_point_B - point_B)
|
||||
line.target.put_start_and_end_on(
|
||||
point_A, new_point_B
|
||||
)
|
||||
|
||||
car_line_group.target.rotate(np.pi/2, about_point = point_A)
|
||||
car_line_group.target.shift(graph_scene.graph_origin - point_A)
|
||||
self.play(MoveToTarget(car_line_group, path_arc = np.pi/2))
|
||||
self.dither()
|
||||
|
||||
def introduce_added_mobjects(self):
|
||||
pass
|
||||
|
||||
def get_added_movement_anims(self):
|
||||
return []
|
||||
|
||||
class GraphCarTrajectory(GraphScene):
|
||||
CONFIG = {
|
||||
|
|
@ -464,23 +483,15 @@ class GraphCarTrajectory(GraphScene):
|
|||
rect = Rectangle().replace(ghost_line, stretch = True)
|
||||
rect.set_stroke(width = 0)
|
||||
rect.set_fill(BLUE, opacity = 0.3)
|
||||
def get_change_lines():
|
||||
p1 = self.input_to_graph_point(curr_time)
|
||||
p2 = self.input_to_graph_point(curr_time+delta_t)
|
||||
interim_point = p2[0]*RIGHT + p1[1]*UP
|
||||
delta_t_line = Line(p1, interim_point, color = YELLOW)
|
||||
delta_s_line = Line(interim_point, p2, color = MAROON_B)
|
||||
brace = Brace(delta_s_line, RIGHT, buff = SMALL_BUFF)
|
||||
return VGroup(delta_t_line, delta_s_line, brace)
|
||||
|
||||
change_lines = get_change_lines()
|
||||
change_lines = self.get_change_lines(curr_time, delta_t)
|
||||
self.play(FadeIn(rect))
|
||||
self.dither()
|
||||
self.play(Write(change_lines))
|
||||
self.dither()
|
||||
for x in range(1, 10):
|
||||
curr_time = x
|
||||
new_change_lines = get_change_lines()
|
||||
new_change_lines = self.get_change_lines(curr_time, delta_t)
|
||||
self.play(
|
||||
rect.move_to, self.coords_to_point(curr_time, 0), DOWN+LEFT,
|
||||
Transform(change_lines, new_change_lines)
|
||||
|
|
@ -497,6 +508,15 @@ class GraphCarTrajectory(GraphScene):
|
|||
self.play(*map(FadeOut, [rect, change_lines]))
|
||||
self.rect = rect
|
||||
|
||||
def get_change_lines(self, curr_time, delta_t = 1):
|
||||
p1 = self.input_to_graph_point(curr_time)
|
||||
p2 = self.input_to_graph_point(curr_time+delta_t)
|
||||
interim_point = p2[0]*RIGHT + p1[1]*UP
|
||||
delta_t_line = Line(p1, interim_point, color = YELLOW)
|
||||
delta_s_line = Line(interim_point, p2, color = MAROON_B)
|
||||
brace = Brace(delta_s_line, RIGHT, buff = SMALL_BUFF)
|
||||
return VGroup(delta_t_line, delta_s_line, brace)
|
||||
|
||||
def show_velocity_graph(self):
|
||||
velocity_graph = self.get_derivative_graph()
|
||||
|
||||
|
|
@ -518,11 +538,17 @@ class GraphCarTrajectory(GraphScene):
|
|||
self.rect.move_to(self.coords_to_point(0, 0), DOWN+LEFT)
|
||||
self.play(FadeIn(self.rect))
|
||||
self.dither()
|
||||
for time in 4.5, 9:
|
||||
for time, show_slope in (4.5, True), (9, False):
|
||||
self.play(
|
||||
self.rect.move_to, self.coords_to_point(time, 0), DOWN+LEFT
|
||||
)
|
||||
self.dither()
|
||||
if show_slope:
|
||||
change_lines = self.get_change_lines(time)
|
||||
self.play(FadeIn(change_lines))
|
||||
self.dither()
|
||||
self.play(FadeOut(change_lines))
|
||||
else:
|
||||
self.dither()
|
||||
self.play(FadeOut(self.rect))
|
||||
|
||||
#Change distance and velocity graphs
|
||||
|
|
@ -575,8 +601,81 @@ class GraphCarTrajectory(GraphScene):
|
|||
self.play(Blink(morty))
|
||||
self.dither()
|
||||
|
||||
|
||||
|
||||
class ShowSpeedometer(IntroduceCar):
|
||||
CONFIG = {
|
||||
"num_ticks" : 8,
|
||||
"tick_length" : 0.2,
|
||||
"needle_width" : 0.1,
|
||||
"needle_height" : 0.8,
|
||||
"should_transition_to_graph" : False,
|
||||
"show_distance" : False,
|
||||
}
|
||||
def setup(self):
|
||||
start_angle = -np.pi/6
|
||||
end_angle = 7*np.pi/6
|
||||
speedomoeter = Arc(
|
||||
start_angle = start_angle,
|
||||
angle = end_angle-start_angle
|
||||
)
|
||||
tick_angle_range = np.linspace(end_angle, start_angle, self.num_ticks)
|
||||
for index, angle in enumerate(tick_angle_range):
|
||||
vect = rotate_vector(RIGHT, angle)
|
||||
tick = Line((1-self.tick_length)*vect, vect)
|
||||
label = TexMobject(str(10*index))
|
||||
label.scale_to_fit_height(self.tick_length)
|
||||
label.shift((1+self.tick_length)*vect)
|
||||
speedomoeter.add(tick, label)
|
||||
|
||||
needle = Polygon(
|
||||
LEFT, UP, RIGHT,
|
||||
stroke_width = 0,
|
||||
fill_opacity = 1,
|
||||
fill_color = YELLOW
|
||||
)
|
||||
needle.stretch_to_fit_width(self.needle_width)
|
||||
needle.stretch_to_fit_height(self.needle_height)
|
||||
needle.rotate(end_angle-np.pi/2)
|
||||
speedomoeter.add(needle)
|
||||
speedomoeter.needle = needle
|
||||
|
||||
speedomoeter.center_offset = speedomoeter.get_center()
|
||||
|
||||
speedomoeter_title = TextMobject("Speedometer")
|
||||
speedomoeter_title.to_corner(UP+LEFT)
|
||||
speedomoeter.next_to(speedomoeter_title, DOWN)
|
||||
|
||||
self.speedomoeter = speedomoeter
|
||||
self.speedomoeter_title = speedomoeter_title
|
||||
|
||||
def introduce_added_mobjects(self):
|
||||
speedomoeter = self.speedomoeter
|
||||
speedomoeter_title = self.speedomoeter_title
|
||||
|
||||
speedomoeter.save_state()
|
||||
speedomoeter.rotate(-np.pi/2, UP)
|
||||
speedomoeter.scale_to_fit_height(self.car.get_height()/4)
|
||||
speedomoeter.move_to(self.car)
|
||||
speedomoeter.shift((self.car.get_width()/4)*RIGHT)
|
||||
|
||||
self.play(speedomoeter.restore, run_time = 2)
|
||||
self.play(Write(speedomoeter_title, run_time = 1))
|
||||
|
||||
def get_added_movement_anims(self):
|
||||
needle = self.speedomoeter.needle
|
||||
center = self.speedomoeter.get_center() - self.speedomoeter.center_offset
|
||||
return [
|
||||
Rotating(
|
||||
needle,
|
||||
about_point = center,
|
||||
radians = -np.pi/2,
|
||||
run_time = 10,
|
||||
rate_func = there_and_back
|
||||
)
|
||||
]
|
||||
|
||||
# def construct(self):
|
||||
# self.add(self.speedomoeter)
|
||||
# self.play(*self.get_added_movement_anims())
|
||||
|
||||
|
||||
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue