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Changes to Fourier series for name animations

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This commit is contained in:
Grant Sanderson 2020-07-22 18:16:09 -07:00
parent 81715adb05
commit f31cf2e30f
1 changed files with 17 additions and 17 deletions
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34
from_3b1b/active/diffyq/part2/fourier_series.py
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@ -18,17 +18,16 @@ class FourierCirclesScene(Scene):
"vector_config": { "vector_config": {
"buff": 0, "buff": 0,
"max_tip_length_to_length_ratio": 0.35, "max_tip_length_to_length_ratio": 0.35,
"tip_length": 0.15, "fill_opacity": 0.75,
"max_stroke_width_to_length_ratio": 10,
"stroke_width": 2,
}, },
"circle_config": { "circle_config": {
"stroke_width": 1, "stroke_width": 1,
"stroke_opacity": 0.75,
}, },
"base_frequency": 1, "base_frequency": 1,
"slow_factor": 0.25, "slow_factor": 0.25,
"center_point": ORIGIN, "center_point": ORIGIN,
"parametric_function_step_size": 0.001, "parametric_function_step_size": 0.01,
"drawn_path_color": YELLOW, "drawn_path_color": YELLOW,
"drawn_path_stroke_width": 2, "drawn_path_stroke_width": 2,
} }
@ -144,9 +143,7 @@ class FourierCirclesScene(Scene):
path = ParametricCurve( path = ParametricCurve(
lambda t: center + reduce(op.add, [ lambda t: center + reduce(op.add, [
complex_to_R3( complex_to_R3(coef * np.exp(TAU * 1j * freq * t))
coef * np.exp(TAU * 1j * freq * t)
)
for coef, freq in zip(coefs, freqs) for coef, freq in zip(coefs, freqs)
]), ]),
t_min=0, t_min=0,
@ -381,7 +378,7 @@ class FourierOfTexPaths(FourierOfPiSymbol, MovingCameraScene):
"animated_name": "Abc", "animated_name": "Abc",
"time_per_symbol": 5, "time_per_symbol": 5,
"slow_factor": 1 / 5, "slow_factor": 1 / 5,
"parametric_function_step_size": 0.01, "parametric_function_step_size": 0.001,
} }
def construct(self): def construct(self):
@ -395,28 +392,31 @@ class FourierOfTexPaths(FourierOfPiSymbol, MovingCameraScene):
frame = self.camera.frame frame = self.camera.frame
frame.save_state() frame.save_state()
vectors = VGroup(VectorizedPoint()) vectors = None
circles = VGroup(VectorizedPoint()) circles = None
for path in name.family_members_with_points(): for path in name.family_members_with_points():
for subpath in path.get_subpaths(): for subpath in path.get_subpaths():
sp_mob = VMobject() sp_mob = VMobject()
sp_mob.set_points(subpath) sp_mob.set_points(subpath)
sp_mob.set_color("#2561d9")
coefs = self.get_coefficients_of_path(sp_mob) coefs = self.get_coefficients_of_path(sp_mob)
new_vectors = self.get_rotating_vectors( new_vectors = self.get_rotating_vectors(coefficients=coefs)
coefficients=coefs
)
new_circles = self.get_circles(new_vectors) new_circles = self.get_circles(new_vectors)
self.set_decreasing_stroke_widths(new_circles) self.set_decreasing_stroke_widths(new_circles)
drawn_path = self.get_drawn_path(new_vectors) drawn_path = self.get_drawn_path(new_vectors)
drawn_path.clear_updaters() drawn_path.clear_updaters()
drawn_path.set_stroke(self.name_color, 3) drawn_path.set_stroke(self.name_color, 3)
drawn_path.set_fill(opacity=0)
static_vectors = VMobject().become(new_vectors) static_vectors = VMobject().become(new_vectors)
static_circles = VMobject().become(new_circles) static_circles = VMobject().become(new_circles)
# static_circles = new_circles.deepcopy()
# static_vectors.clear_updaters() if vectors is None:
# static_circles.clear_updaters() vectors = static_vectors.copy()
circles = static_circles.copy()
vectors.scale(0)
circles.scale(0)
self.play( self.play(
Transform(vectors, static_vectors, remover=True), Transform(vectors, static_vectors, remover=True),
@ -425,7 +425,7 @@ class FourierOfTexPaths(FourierOfPiSymbol, MovingCameraScene):
frame.move_to, path, frame.move_to, path,
) )
self.add(new_vectors, new_circles) self.add(drawn_path, new_vectors, new_circles)
self.vector_clock.set_value(0) self.vector_clock.set_value(0)
self.play( self.play(
ShowCreation(drawn_path), ShowCreation(drawn_path),