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Further fourier work

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This commit is contained in:
Grant Sanderson 2018-01-23 14:03:25 -08:00
parent a389e5353f
commit fb23644b5a
2 changed files with 48 additions and 4 deletions
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2
.gitignore vendored
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@ -2,7 +2,7 @@
.DS_Store .DS_Store
homeless.py homeless.py
ka_playgrounds/ ka_playgrounds/
grant_playground.py playground.py
special_animations.py special_animations.py
prettiness_hall_of_fame.py prettiness_hall_of_fame.py
files/ files/

50
active_projects/fourier.py
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@ -2474,14 +2474,13 @@ class WhiteComplexExponentialExpression(DrawFrequencyPlot):
v_line.put_start_and_end_on( v_line.put_start_and_end_on(
plane.coords_to_point(x, 0), point plane.coords_to_point(x, 0), point
) )
lines_update_anim = UpdateFromFunc(lines, lines_update) lines_update_anim = ContinualUpdateFromFunc(lines, lines_update)
lines_update_anim.update(0) lines_update_anim.update(0)
self.add(lines) self.add(lines_update_anim)
self.change_frequency( self.change_frequency(
2.04, 2.04,
added_anims = [ added_anims = [
lines_update_anim,
self.center_of_mass_dot_anim, self.center_of_mass_dot_anim,
], ],
run_time = 15, run_time = 15,
@ -2496,15 +2495,60 @@ class WhiteComplexExponentialExpression(DrawFrequencyPlot):
self.time_axes_group, self.pol_graph, self.wps_label self.time_axes_group, self.pol_graph, self.wps_label
) )
plane = self.circle_plane plane = self.circle_plane
dot = self.center_of_mass_dot
complex_plane_title = TextMobject("Complex plane") complex_plane_title = TextMobject("Complex plane")
complex_plane_title.add_background_rectangle() complex_plane_title.add_background_rectangle()
complex_plane_title.to_edge(UP) complex_plane_title.to_edge(UP)
coordinate_labels = plane.get_coordinate_labels() coordinate_labels = plane.get_coordinate_labels()
number_label = DecimalNumber(
0, include_background_rectangle = True,
)
number_label_update_anim = ContinualChangingDecimal(
number_label,
lambda a : plane.point_to_number(dot.get_center()),
position_update_func = lambda l : l.next_to(
# plane.coords_to_point(1, 1), DOWN+RIGHT,
dot, DOWN+RIGHT,
buff = SMALL_BUFF
),
)
number_label_update_anim.update(0)
arrow = Arrow(RIGHT, LEFT, color = RED)
def update_arrow(arrow):
arrow.put_start_and_end_on(
number_label.get_left(),
dot.get_center(),
)
arrow.scale(0.9)
return arrow
arrow_update_anim = ContinualUpdateFromFunc(arrow, update_arrow)
arrow_update_anim.update(0)
flower_path = ParametricFunction(
lambda t : plane.coords_to_point(
np.sin(2*t)*np.cos(t),
np.sin(2*t)*np.sin(t),
),
t_min = 0, t_max = TAU,
)
flower_path.move_to(self.center_of_mass_dot)
self.play(FadeOut(to_fade)) self.play(FadeOut(to_fade))
self.play(Write(complex_plane_title)) self.play(Write(complex_plane_title))
self.play(Write(coordinate_labels)) self.play(Write(coordinate_labels))
self.wait() self.wait()
self.play(
FadeIn(number_label),
# GrowArrow(arrow)
)
self.add(number_label_update_anim)
# self.add(arrow_update_anim)
self.play(MoveAlongPath(
dot, flower_path,
run_time = 10,
rate_func = bezier([0, 0, 1, 1])
))
self.wait()
def show_eulers_formula(self): def show_eulers_formula(self):