|
|
|
|
|
|
|
|
from manimlib.imports import * |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
class OpeningManimExample(Scene): |
|
|
def construct(self): |
|
|
title = TextMobject("This is some \\LaTeX") |
|
|
basel = TexMobject( |
|
|
"\\sum_{n=1}^\\infty " |
|
|
"\\frac{1}{n^2} = \\frac{\\pi^2}{6}" |
|
|
) |
|
|
VGroup(title, basel).arrange(DOWN) |
|
|
self.play( |
|
|
Write(title), |
|
|
FadeInFrom(basel, UP), |
|
|
) |
|
|
self.wait() |
|
|
|
|
|
transform_title = TextMobject("That was a transform") |
|
|
transform_title.to_corner(UP + LEFT) |
|
|
self.play( |
|
|
Transform(title, transform_title), |
|
|
LaggedStart(*map(FadeOutAndShiftDown, basel)), |
|
|
) |
|
|
self.wait() |
|
|
|
|
|
grid = NumberPlane() |
|
|
grid_title = TextMobject("This is a grid") |
|
|
grid_title.scale(1.5) |
|
|
grid_title.move_to(transform_title) |
|
|
|
|
|
self.add(grid, grid_title) |
|
|
self.play( |
|
|
FadeOut(title), |
|
|
FadeInFromDown(grid_title), |
|
|
ShowCreation(grid, run_time=3, lag_ratio=0.1), |
|
|
) |
|
|
self.wait() |
|
|
|
|
|
grid_transform_title = TextMobject( |
|
|
"That was a non-linear function \\\\" |
|
|
"applied to the grid" |
|
|
) |
|
|
grid_transform_title.move_to(grid_title, UL) |
|
|
grid.prepare_for_nonlinear_transform() |
|
|
self.play( |
|
|
grid.apply_function, |
|
|
lambda p: p + np.array([ |
|
|
np.sin(p[1]), |
|
|
np.sin(p[0]), |
|
|
0, |
|
|
]), |
|
|
run_time=3, |
|
|
) |
|
|
self.wait() |
|
|
self.play( |
|
|
Transform(grid_title, grid_transform_title) |
|
|
) |
|
|
self.wait() |
|
|
|
|
|
|
|
|
class SquareToCircle(Scene): |
|
|
def construct(self): |
|
|
circle = Circle() |
|
|
square = Square() |
|
|
square.flip(RIGHT) |
|
|
square.rotate(-3 * TAU / 8) |
|
|
circle.set_fill(PINK, opacity=0.5) |
|
|
|
|
|
self.play(ShowCreation(square)) |
|
|
self.play(Transform(square, circle)) |
|
|
self.play(FadeOut(square)) |
|
|
|
|
|
|
|
|
class WarpSquare(Scene): |
|
|
def construct(self): |
|
|
square = Square() |
|
|
self.play(ApplyPointwiseFunction( |
|
|
lambda point: complex_to_R3(np.exp(R3_to_complex(point))), |
|
|
square |
|
|
)) |
|
|
self.wait() |
|
|
|
|
|
|
|
|
class WriteStuff(Scene): |
|
|
def construct(self): |
|
|
example_text = TextMobject( |
|
|
"This is a some text", |
|
|
tex_to_color_map={"text": YELLOW} |
|
|
) |
|
|
example_tex = TexMobject( |
|
|
"\\sum_{k=1}^\\infty {1 \\over k^2} = {\\pi^2 \\over 6}", |
|
|
) |
|
|
group = VGroup(example_text, example_tex) |
|
|
group.arrange(DOWN) |
|
|
group.set_width(FRAME_WIDTH - 2 * LARGE_BUFF) |
|
|
|
|
|
self.play(Write(example_text)) |
|
|
self.play(Write(example_tex)) |
|
|
self.wait() |
|
|
|
|
|
|
|
|
class UdatersExample(Scene): |
|
|
def construct(self): |
|
|
decimal = DecimalNumber( |
|
|
0, |
|
|
show_ellipsis=True, |
|
|
num_decimal_places=3, |
|
|
include_sign=True, |
|
|
) |
|
|
square = Square().to_edge(UP) |
|
|
|
|
|
decimal.add_updater(lambda d: d.next_to(square, RIGHT)) |
|
|
decimal.add_updater(lambda d: d.set_value(square.get_center()[1])) |
|
|
self.add(square, decimal) |
|
|
self.play( |
|
|
square.to_edge, DOWN, |
|
|
rate_func=there_and_back, |
|
|
run_time=5, |
|
|
) |
|
|
self.wait() |
|
|
|
|
|
|
|
|
|