def _main_title(self):
paper_name_a = TextMobject(
"Simulating human interactions in supermarkets to")
paper_name_b = TextMobject(
"measure the risk of COVID-19 contagion at scale")
author_list_a = TextMobject(
"Serge Plata\\quad Sumanas Sarma\\quad Melvin Lancelot")
author_list_b = TextMobject(
"Kristine Bagrova\\quad David Romano-Critchley")
arxiv = TextMobject("arXiv:2006.15213")
paper_name_a.shift(UP)
paper_name_b.next_to(paper_name_a, DOWN)
author_list_a.scale(0.8)
author_list_b.scale(0.8)
author_list_a.next_to(paper_name_b, DOWN + DOWN)
author_list_b.next_to(author_list_a, DOWN)
arxiv.scale(0.6)
arxiv.next_to(author_list_b, DOWN + DOWN)
self.play(FadeIn(paper_name_a), FadeIn(paper_name_b))
self.wait()
self.play(FadeIn(author_list_a), FadeIn(author_list_b))
self.play(FadeIn(arxiv))
self.wait(4)
self.play(FadeOut(paper_name_a), FadeOut(paper_name_b),
FadeOut(author_list_a), FadeOut(author_list_b),
ApplyMethod(arxiv.move_to, BOTTOM + (UP * 0.5)))
def construct(self):
square = Square(side_length=5, fill_color=YELLOW, fill_opacity=1)
label = TextMobject("Text at an angle")
label_bg = BackgroundRectangle(label, fill_opacity=1)
label_group = VGroup(label_bg, label)
label_group.rotate(TAU / 8)
label2 = TextMobject("Boxed text", color=BLACK)
label2_bg = SurroundingRectangle(label2,
color=BLUE,
fill_color=RED,
fill_opacity=.5)
label2_group = VGroup(label2, label2_bg)
label2_group.next_to(label_group, DOWN)
label3 = TextMobject("Rainbow")
label3.scale(2)
label3.set_color_by_gradient(RED, GREEN, BLUE)
label3.to_edge(DOWN)
self.add(square)
self.play(FadeIn(label_group))
self.play(FadeIn(label2_group))
self.play(FadeIn(label3))
self.wait(2)
def construct(self):
circle = Circle(color=PURPLE_A)
square = Square(fill_color=GOLD_B, fill_opacity=1, color=GOLD_A)
square.move_to(UP + LEFT)
circle.surround(square)
rectangle = Rectangle(height=2, width=3)
ellipse = Ellipse(width=3, height=1, color=RED)
ellipse.shift(2 * DOWN + 2 * RIGHT)
pointer = CurvedArrow(2 * RIGHT, 5 * RIGHT, color=MAROON_C)
arrow = Arrow(LEFT, UP)
arrow.next_to(circle, DOWN + LEFT)
rectangle.next_to(arrow, DOWN + LEFT)
circle2 = Circle()
circle2.surround(rectangle, buffer_factor=1)
ring = Annulus(inner_radius=.5, outer_radius=1, color=BLUE)
ring.next_to(ellipse, RIGHT)
self.add(pointer)
self.add(circle2)
self.play(FadeIn(square))
self.play(Rotating(square), FadeIn(circle))
self.play(GrowArrow(arrow))
self.play(GrowFromCenter(rectangle), GrowFromCenter(ellipse),
GrowFromCenter(ring))
self.wait()
def construct(self):
my_first_text = TextMobject("Writing with manim is fun")
second_line = TextMobject("and easy to do!")
second_line.next_to(my_first_text, DOWN)
third_line = TextMobject("for me and you!")
third_line.next_to(my_first_text, DOWN)
self.play(FadeIn(my_first_text), FadeIn(second_line))
self.wait(2)
self.play(Transform(second_line, third_line))
self.wait(2)
self.play(ApplyMethod(my_first_text.shift, 3 * UP))
self.play(Rotating(second_line), radians=PI, run_time=2)
self.wait()
def paste_selection(self):
clipboard_str = pyperclip.paste()
# Try pasting a mobject
try:
ids = map(int, clipboard_str.split(","))
mobs = map(self.id_to_mobject, ids)
mob_copies = [m.copy() for m in mobs if m is not None]
self.clear_selection()
self.add_to_selection(*mob_copies)
self.play(*(
FadeIn(mc, run_time=0.5, scale=1.5)
for mc in mob_copies
))
return
except ValueError:
pass
# Otherwise, treat as tex or text
if set("\\^=+").intersection(clipboard_str): # Proxy to text for LaTeX
try:
new_mob = Tex(clipboard_str)
except LatexError:
return
else:
new_mob = Text(clipboard_str)
self.clear_selection()
self.add(new_mob)
self.add_to_selection(new_mob)
def construct(self):
self.phase = 0
big_wave = self.make_graph(lambda x: self.upper_func(x) * 3,
UPPER_COLOR).shift(4.5 * LEFT)
self.play(ShowCreation(big_wave),
run_time=2,
rate_func=lambda t: running_start(t, pull_factor=1))
self.wait()
upper_axes = self.make_axes(0.9, "E_1").shift(UPPER_POSITION)
self.upper_graph = self.make_graph(self.upper_func,
UPPER_COLOR).shift(UPPER_POSITION)
middle_axes = self.make_axes(0.9, "E_2").shift(MIDDLE_POSITION)
self.middle_graph = self.make_graph(
self.middle_func, MIDDLE_COLOR).shift(MIDDLE_POSITION)
lower_axes = self.make_axes(1.4, "E_1 + E_2").shift(LOWER_POSITION)
self.lower_graph = self.make_graph(self.lower_func,
LOWER_COLOR).shift(LOWER_POSITION)
self.play(
AnimationGroup(Transform(big_wave, self.upper_graph, run_time=1.2),
FadeIn(upper_axes),
lag_ratio=0.5))
self.bring_to_back(upper_axes)
self.play(FadeIn(middle_axes), FadeIn(self.middle_graph))
# self.wait()
self.play(FadeIn(lower_axes), FadeIn(self.lower_graph))
self.wait(0.5)
self.play(
UpdateFromAlphaFunc(VGroup(self.middle_graph, self.lower_graph),
self.anim_pi_2),
run_time=2,
)
self.wait(0.5)
self.play(
UpdateFromAlphaFunc(VGroup(self.middle_graph, self.lower_graph),
self.anim_pi_3),
run_time=1.5,
)
self.wait()
self.wait()
def __init__(self, mobject, run_time=1, ratio_array=[0.01, 0.5, 0.5], fadeout_func=rush_into, **kwargs):
animations = AGroup(
FadeIn(mobject, run_time=ratio_array[0]*run_time),
Indicate(mobject, run_time=ratio_array[1]*run_time, **kwargs),
FadeOut(mobject, run_time=ratio_array[2]*run_time, rate_func=fadeout_func))
[animations.remove(animations[i])
for i in range(len(ratio_array)) if ratio_array[i] == 0]
super().__init__(*animations, **kwargs)
def construct(self):
self.quote = self.get_quote()
self.author = self.get_author(self.quote)
self.play(FadeIn(self.quote, **self.fade_in_kwargs))
self.wait(2)
self.play(Write(self.author, run_time=3))
self.wait()
def teacher_holds_up(self,
mobject,
target_mode="raise_right_hand",
added_anims=None,
**kwargs):
mobject.move_to(self.hold_up_spot, DOWN)
mobject.shift_onto_screen()
added_anims = added_anims or []
self.play(FadeIn(mobject, shift=UP), self.teacher.change, target_mode,
*added_anims)
def __init__(self, vmobject: VMobject, stroke_width: float = 2, **kwargs):
digest_config(self, kwargs)
outline = vmobject.copy()
outline.set_fill(opacity=0)
outline.set_stroke(width=stroke_width, opacity=1)
rate_func = kwargs.get("rate_func", smooth)
super().__init__(
FadeIn(vmobject,
rate_func=squish_rate_func(rate_func, self.fade_lag, 1)),
VShowPassingFlash(outline, time_width=1), **kwargs)
def __init__(self, animation, run_time=0.1, ratio_array=[1, 1, 1], fadeout_func=rush_into, **kwargs):
animations = AGroup(
FadeIn(animation.mobject, rate_func=linear, run_time=run_time),
#ApplyMethod(VGroup(*animation.mobject[:]).set_stroke,{"opacity":1}, run_time=0),
animation,
# IndicateThenFadeOut(
# animation.mobject, run_time=1, scale_factor=1, color=None, ratio_array=[0.95, 0.05], rate_func=fadeout_func) # ,ratio_array=[1.2, 1.1, 0.05]
)
super().__init__(*animations, **kwargs)
def construct(self):
plane = NumberPlane(**self.plane_kwargs)
plane.add(plane.get_axis_labels())
self.add(plane)
self.field = VGroup(*[
self.calc_field(x * RIGHT + y * UP) for x in np.arange(-9, 9, 1)
for y in np.arange(-5, 5, 1)
])
source_charge = self.Positron().move_to(self.point_charge_loc)
self.play(FadeIn(source_charge))
self.play(ShowCreation(self.field))
self.moving_charge()
def construct(self):
ellipse = Ellipse(width=self.width, height=self.width / 2)
circle = Ellipse(width=self.width, height=self.width)
line = Ellipse(width=self.width, height=0)
for m in [ellipse, circle, line]:
m.set_color(self.color)
self.play(FadeIn(ellipse))
self.wait()
self.play(ellipse.become, circle)
self.wait()
self.play(ellipse.become, line)
self.wait()
def make_axes(self):
self.axes = Axes(x_min=-self.axes_scale * FRAME_X_RADIUS,
x_max=self.axes_scale * FRAME_X_RADIUS,
y_min=-self.axes_scale * FRAME_Y_RADIUS,
y_max=self.axes_scale * FRAME_Y_RADIUS,
x_axis_config={"include_ticks": False},
y_axis_config={"include_ticks": False},
number_line_config={"color": self.axes_color})
self.axes_labels = self.axes.get_axis_labels(
x_label_tex="E_x", y_label_tex="E_y").set_color(self.axes_color)
self.play(
AnimationGroup(GrowFromCenter(self.axes),
FadeIn(self.axes_labels),
lag_ratio=0.4))
def moving_charge(self):
num_charges = 4
possible_points = [v.get_start() for v in self.field]
points = random.sample(possible_points, num_charges)
particles = VGroup(
*[self.Positron().move_to(point) for point in points])
for particle in particles:
particle.velocity = np.array((0, 0, 0))
self.play(FadeIn(particles))
self.moving_particles = particles
self.add_foreground_mobjects(self.moving_particles)
self.always_continually_update = True
self.wait(10)
def get_digit_increment_animations(self):
result = []
self.number += 1
is_next_digit = self.is_next_digit()
if is_next_digit:
self.max_place += 1
new_number_mob = self.get_number_mob(self.number)
new_number_mob.move_to(self.number_mob, RIGHT)
if is_next_digit:
self.add_configuration()
place = len(new_number_mob.split()) - 1
result.append(FadeIn(self.dot_templates[place]))
arrow = Arrow(new_number_mob[place].get_top(),
self.dot_templates[place].get_bottom(),
color=self.digit_place_colors[place])
self.arrows.add(arrow)
result.append(ShowCreation(arrow))
result.append(Transform(self.number_mob, new_number_mob,
lag_ratio=0.5))
return result
def fadein(self, *mobjects, run_time=1, pre_time=0.5, post_time=1):
self.wait(pre_time)
self.play(FadeIn(Group(*mobjects)))
self.wait(post_time)
return self
def __init__(self, mobject, **kwargs):
super().__init__(
FadeIn(mobject, **kwargs),
Indicate(mobject, **kwargs),
**kwargs
)
def __init__(self,
screen01=[],
screen02=[],
screen03=[],
lag_ratio=1,
**kwargs):
mobjs_1, mobjs_1_scale, mobjs_1_interval, mobjs_1_rate_func, \
title_1, title_1_color, title_1_scale, title_1_position, title_1_shadow, \
title_1_indicate_scale_factor, title_1_extra = screen01 + \
["", 2, 0.5, linear, "", "#0808B8", 2, [DOWN], [2, slice(0, 3, 2)],
1.2, ""][len(screen01):]
mobjs_2, mobjs_2_scale, mobjs_2_interval, mobjs_2_rate_func, \
title_2, title_2_color, title_2_scale, title_2_position, title_2_shadow, \
title_2_indicate_scale_factor, title_2_extra = screen02 + \
["", 2, 0.5, linear, "", "#0808B8", 1.2, [DOWN], [2, slice(1, 4, 2)],
"", [slice(1, 2), WHITE, [-2.5, 0, 0]]][len(screen02):]
[title, subtitle, filename, reference, warning, mobjes_3_run_time] =\
screen03 + [[], [], [], [], [], 3][len(screen03):]
[title, title_color, title_scale, title_position] = title + \
["", WHITE, 1, [UP]][len(title):]
[subtitle, subtitle_color, subtitle_scale, subtitle_position] = subtitle + \
["", WHITE, 1, [0, 0, 0]][len(subtitle):]
[filename, filename_color, filename_scale, filename_position] = filename + \
["", WHITE, 1, [0, -2.9, 0]][len(filename):]
[reference, reference_color, reference_scale, reference_position] = reference + \
["", YELLOW, 1, [0, -3.3, 0]][len(reference):]
[warning, warning_color, warning_scale, warning_position] = warning + \
["", YELLOW, 1, [0, -3.7, 0]
][len(warning):]
startscreens = AGroup()
if mobjs_1 != None:
if mobjs_1 == "":
try:
mobjs_1 = ImageMobjectGroup(
np.char.mod('%01d', range(0, 10)),
"sidewayoutput\\sidewayoutput2020yt")
except:
mobjs_1 = ImageMobjectGroup(
np.char.mod('%01d', range(9, -1, -1)), "001\\")
if title_1 == "":
title_1 = PoweredBy
title_1 = MobjectOrChars(title_1)
title_1.set_color(title_1_color).scale(
title_1_scale).align_on_border(
*title_1_position).add_shadow_mobjects(
title_1_shadow[0], title_1[title_1_shadow[1]])
if title_1_extra != "":
title_1[title_1_extra[0]].set_color(title_1_extra[1]).shift(
title_1_extra[2])
if title_1_indicate_scale_factor == "":
title_width = mobjs_1.get_width()
title_1_indicate_scale_factor = (title_width -
0.5) / title_width
startscreens.add(
ShowSubmobjectsOneByOneAndFadeInThenIndicateThenFadeOut(
mobjs_1.scale(mobjs_1_scale),
title_1,
indicate_scale_factor=title_1_indicate_scale_factor,
show_rate_func=mobjs_1_rate_func,
run_time=mobjs_1_interval * (len(mobjs_1)),
**kwargs))
if mobjs_2 != None:
if mobjs_2 == "":
strs = TextMobject(r"\textspA{%s}" % Project)
mobjs_2 = Group(
Circle(fill_opacity=0.75),
RegularPolygon(fill_opacity=0.75),
Triangle(color=GREEN, fill_opacity=0.75),
Square(fill_opacity=0.75),
strs.set_color("#FFFFFF"),
strs.copy().set_color("#F8F8F8").scale(1.3),
strs.copy().set_color("#F8F8B8").scale(1.6),
strs.copy().set_color("#B8B8B8").scale(1.6),
strs.copy().set_color("#8888B8").scale(1.6),
strs.copy().set_color("#6868B8").scale(1.6),
strs.copy().set_color("#4848B8").scale(1.6),
strs.copy().set_color("#2828B8").scale(1.6),
strs.copy().set_color("#0808B8").scale(1.6),
)
if title_2 == "":
title_2 = (r"{\tiny{\emph{Powered by}:}}\\ ", *PoweredBy)
title_2 = MobjectOrChars(title_2)
title_2.set_color(title_2_color).scale(
title_2_scale).align_on_border(
*title_2_position).add_shadow_mobjects(
title_2_shadow[0], title_2[title_2_shadow[1]])
if title_2_extra != "":
title_2[title_2_extra[0]].set_color(title_2_extra[1]).shift(
title_2_extra[2])
if title_2_indicate_scale_factor == "":
title_width = mobjs_2.get_width()
title_2_indicate_scale_factor = (title_width -
0.5) / title_width
startscreens.add(
ShowSubmobjectsOneByOneAndFadeInThenIndicateThenFadeOut(
mobjs_2.scale(mobjs_2_scale),
title_2,
indicate_scale_factor=title_2_indicate_scale_factor,
show_rate_func=mobjs_2_rate_func,
run_time=mobjs_2_interval * (len(mobjs_2)),
**kwargs))
if title != None or subtitle != None:
mobjs_3 = [Group(), "", ""]
if title != None:
txt_title = TextMobject(title).scale(title_scale)
if txt_title.get_width() > 14:
txt_title.stretch_to_fit_width(14)
mobjs_3[1] = txt_title.set_color(title_color).to_edge(
*title_position)
mobjs_3[0].add(mobjs_3[1])
if subtitle != None:
mobjs_3[0].add(
TextMobject(subtitle).set_color(subtitle_color).scale(
subtitle_scale).shift(subtitle_position))
if filename != None and filename != "":
if reference == None or reference == "":
filename_position = reference_position
mobjs_3[0].add(
TextMobject(filename).set_color(filename_color).scale(
filename_scale).shift(filename_position))
if reference != None and reference != "":
txt_reference = TextMobject(reference).scale(reference_scale)
if txt_reference.get_width() > 14:
txt_reference.stretch_to_fit_width(14)
mobjs_3[0].add(
txt_reference.set_color(reference_color).shift(
reference_position))
if warning != None and warning != "":
txt_warning = TextMobject(warning).scale(
warning_scale) # height=0.3
if txt_warning.get_width() > 14:
txt_warning.stretch_to_fit_width(14)
mobjs_3[2] = txt_warning.set_color(warning_color).shift(
warning_position)
animations = AGroup()
if len(mobjs_3[0]) > 0:
animations.add(
FadeIn(mobjs_3[0],
run_time=0.5,
scale_factor=1,
color=None))
if len(mobjs_3[1]) > 0:
animations.add(GrowFromCenter(Underline(mobjs_3[1])))
if len(mobjs_3[2]) > 0:
animations.add(
FadeInThenIndicate(mobjs_3[2],
run_time=0.5,
scale_factor=1.2,
color=None))
startscreens.add(
FadeoutSuccession(AnimationGroup(*animations,
run_time=mobjes_3_run_time),
run_time=0.05))
super().__init__(AnimationGroup(*startscreens, lag_ratio=1), **kwargs)
def construct(self):
self._main_title()
text_one = TextMobject("Given a list of items sold")
text_two: TextMobject = TextMobject(
"Randomly choose items matching this distribution")
text_two.next_to(text_one, DOWN)
number_line = NumberLine(
numbers_with_elongated_ticks=[0, 1],
include_numbers=True,
x_min=0,
x_max=1,
unit_size=10,
tick_frequency=0.1,
# decimal_number_config={"num_decimal_places": 1},
numbers_to_show=[0, 1])
number_line.next_to(text_two, UP)
self.play(ShowCreation(text_one))
self.wait()
self.play(ShowCreation(text_two))
self.wait(4)
apples_text = TextMobject("Apples:")
apples_text.set_color(self._apple_colour)
apples_text.to_edge(UP)
apples_text.align_to(text_two, LEFT)
apple_count_text = TextMobject(f"{self._apple_count}")
apple_count_text.set_color(self._apple_colour)
apple_count_text.next_to(apples_text, RIGHT)
banana_text = TextMobject("Bananas:")
banana_text.set_color(self._banana_colour)
banana_text.next_to(apples_text, DOWN)
banana_text.align_to(apples_text, LEFT)
banana_count_text = TextMobject(f"{self._banana_count}")
banana_count_text.set_color(self._banana_colour)
banana_count_text.next_to(banana_text, RIGHT)
self.play(Transform(text_one, apples_text))
self.play(ShowCreation(apple_count_text))
self.play(ShowCreation(banana_text), ShowCreation(banana_count_text))
banana_bar = Rectangle(
height=0.4,
width=number_line.point_to_number(self._banana_fraction * 10) *
(number_line.number_to_point(1)[0]),
color=self._banana_colour,
fill_color=self._banana_colour,
fill_opacity=0.75)
banana_bar.next_to(banana_count_text, RIGHT + RIGHT)
apple_bar = Rectangle(
height=0.4,
width=number_line.point_to_number(self._apple_fraction * 10) *
(number_line.number_to_point(1)[0]),
color=self._apple_colour,
fill_color=self._apple_colour,
fill_opacity=0.75)
apple_bar.next_to(banana_bar, UP)
apple_bar.align_to(banana_bar, LEFT)
self.play(FadeIn(apple_bar), FadeIn(banana_bar))
self.wait(1.5)
apple_fraction_text = TextMobject("$\\frac{" + str(self._apple_count) +
"}{" + str(self._apple_count +
self._banana_count) +
"} = " + str(self._apple_fraction) +
"$")
apple_fraction_text.next_to(apple_bar, RIGHT)
banana_fraction_text = TextMobject("$\\frac{" +
str(self._banana_count) + "}{" +
str(self._apple_count +
self._banana_count) + "} = " +
str(self._banana_fraction) + "$")
banana_fraction_text.next_to(banana_bar, RIGHT)
self.play(ShowCreation(apple_fraction_text))
self.play(ShowCreation(banana_fraction_text))
self.wait(2)
number_line_map_text = TextMobject(
"Map these counts to values between 0 and 1")
number_line_map_text.next_to(text_two, UP)
self.play(ShowCreation(number_line_map_text))
self.wait(3)
self.play(Transform(number_line_map_text, number_line))
apple_num_ln_bar = Rectangle(
height=0.4,
# width=1 - self._apple_fraction * (number_line.number_to_point(1)[0]),
width=number_line.point_to_number(self._apple_fraction * 10) *
(number_line.number_to_point(1)[0]),
color=self._apple_colour,
fill_color=self._apple_colour,
fill_opacity=0.25)
apple_num_ln_bar.move_to(apple_bar, LEFT)
self.add(apple_num_ln_bar)
self.wait(2)
self.play(
ApplyMethod(apple_num_ln_bar.move_to,
number_line.number_to_point(0), LEFT))
banana_num_ln_bar = Rectangle(
height=0.4,
width=number_line.point_to_number(self._banana_fraction * 10) *
(number_line.number_to_point(1)[0]),
color=self._banana_colour,
fill_color=self._banana_colour,
fill_opacity=0.25)
banana_num_ln_bar.move_to(banana_bar, LEFT)
self.add(banana_num_ln_bar)
self.wait(2)
self.play(
ApplyMethod(banana_num_ln_bar.move_to,
number_line.number_to_point(1), RIGHT))
text_scale: float = 0.75
get_rnd_full = TextMobject(
"Get a random number $n$ between 0 and 1 (uniform distribution)")
get_apple_text = TextMobject(
f"Apple\\quad if $n <= {self._apple_fraction}$",
tex_to_color_map={"Apple": self._apple_colour})
get_banana_text = TextMobject(
f"Banana\\quad if $n > {self._apple_fraction}$",
tex_to_color_map={"Banana": self._banana_colour})
get_rnd_full.scale(text_scale)
get_rnd_full.next_to(text_two, DOWN)
get_banana_text.next_to(get_apple_text, DOWN)
step_group = VGroup(get_apple_text, get_banana_text)
brace = Brace(step_group, LEFT)
step_text_d = brace.get_text("$n \\sim U(0, 1)$")
step_text_d.scale(text_scale)
step_text_d.next_to(get_rnd_full, DOWN + DOWN)
step_text_d.shift(LEFT)
brace.next_to(step_text_d, RIGHT)
step_group.scale(text_scale)
step_group.next_to(step_text_d, RIGHT + RIGHT + RIGHT)
self.wait(2)
self.play(ShowCreation(get_rnd_full))
self.wait(2)
self.play(ShowCreation(step_text_d))
self.wait(2)
self.play(GrowFromCenter(brace))
self.wait()
self.play(ShowCreation(get_apple_text))
self.wait(2)
self.play(ShowCreation(get_banana_text))
# random_nos_to_draw = 10
# main_arrow = Arrow(ORIGIN, DOWN * 1.3)
# helper_arrow = Arrow(ORIGIN, LEFT * 1.3)
#
# for i in range(random_nos_to_draw):
# num: float = np.random.random_sample(1)
# point = number_line.number_to_point(num)
# arrow_colour = self._apple_colour if num <= self._apple_fraction else self._banana_colour
# arrow_recipient = get_apple_text if num <= self._apple_fraction else get_banana_text
#
# main_arrow.set_color(arrow_colour)
#
# if i == 0:
# main_arrow.next_to(point, UP)
# helper_arrow.next_to(arrow_recipient, RIGHT)
# self.play(GrowArrow(main_arrow), GrowArrow(helper_arrow))
# else:
# self.play(ApplyMethod(helper_arrow.next_to, arrow_recipient, RIGHT),
# ApplyMethod(main_arrow.next_to, point, UP))
# self.wait()
#
# self.play(FadeOut(main_arrow), FadeOut(helper_arrow))
self.wait()
def FadeInWindow(self):
return FadeIn(self.background_mobject),
def construct(self):
if 1 == 1:
try:
self.add_sound(
"sidewayoutput\\basicmanim\\transform001a_01_01_01_01_01.wav",
time_offset=18)
self.add_sound(
"sidewayoutput\\basicmanim\\transform001a_01_01_01_02_01.wav",
time_offset=93)
self.add_sound(
"sidewayoutput\\basicmanim\\transform001a_01_01_01_03_01.wav",
time_offset=135)
except:
pass
self.play(
StartScreens01(
[],
[],
[[r"\textbf{\textit{Basic-Manim from }\{Sideway\}}"],
[r"\textbf{\textit{Transform}}\\{{Part\ \textspA{I}a}"],
[
r"\tiny{\textrm{basic-manim.210200551v0\_transform001a}}"
], [],
[
r"\scriptsize{\textbf{Warning:\ The\ content\ may\ contain\ errors,\ mistakes\ and\ inaccuracies.\ Information\ must\ be\ verified\ and\ evaluated\ before\ use.}}"
]],
))
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Transform}}}").shift(
[0, 3.6, 0])))
squarea = Square()
squareb = Square(side_length=4).shift([4, 0, 0])
circlea = Circle()
circleb = Circle(radius=2).shift([-4, 0, 0])
linea = Line([-4, 3, 0], [4, 3, 0])
lineb = Line([-3, -3, 0], [3, -3, 0])
texta = TextMobject("AB").shift([0, -2.5, 0])
textb = TextMobject("HI").shift([0, 2.5, 0])
self.play(
ShowCreation(Group(squarea, circlea, squareb, circleb, linea,
lineb),
lag_ratio=1,
run_time=12))
self.play(Write(VGroup(texta, textb), lag_ratio=1, run_time=10))
self.play(Transform(circlea, squarea, run_time=5))
self.play(Transform(circlea, squareb, path_arc=3, run_time=5))
self.play(Transform(squarea, circleb, path_arc=3, run_time=5))
self.play(Transform(linea, lineb, path_arc=3, run_time=5))
self.play(Transform(linea, circleb, path_arc=3, run_time=5))
self.play(Transform(squareb, lineb, path_arc=3, run_time=5))
self.play(Transform(texta, textb, path_arc=3, run_time=5))
self.play(Transform(texta, circleb, path_arc=3, run_time=5))
self.play(Transform(squareb, textb, path_arc=3, run_time=5))
self.fadeout()
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Paths\ of\ Transform}}}").
shift([0, 3.6, 0])))
rows, cols = (7, 5)
x0, y0 = axes_point([0, 2, cols - 1, -4], [2.3, -1, rows - 1, 3])
txtx = ["loc 1", "loc 2", "m1", "m2"]
txty = [
"ClockwiseTransform", "Transform", "CounterclockwiseTransform"
]
a1 = Group()
a2 = Group()
a3 = Group()
a4 = Group()
for j in range(1, rows):
a1.add(Circle().scale(0.2).move_to([x0[1], y0[j], 0]))
a2.add(Square().scale(0.2).move_to([x0[2], y0[j], 0]))
a3.add(
Dot([x0[3], y0[j], 0]).add_updater(lambda mob, obj=a1[
j - 1], x=x0[3], y=y0[j]: mob.become(obj.copy(
).move_to([x, y, 0]))).suspend_updating())
a4.add(
Dot([x0[4], y0[j], 0]).add_updater(lambda mob, obj=a2[
j - 1], x=x0[4], y=y0[j]: mob.become(obj.copy(
).move_to([x, y, 0]))).suspend_updating())
self.play(FadeIn(
Group(
*[
TextMobject(txtx[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[1:], y0[0:1]))
], *[
TextMobject(txty[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[1::2]))
], *[Dot(each) for each in coord_grid(x0[1:3], y0[1:])],
TextMobject(r"$\rightarrow$").move_to(
([(x0[1] + x0[2]) / 2, y0[0], 0])), a1[::2], a2[::2],
a3, a4, *[
Square(stroke_width=2,
color="#FFFF00",
fill_opacity=0.3).add_updater(
lambda mob, obj=obj: mob.surround(
obj, stretch=True, buff=0.2))
for obj in a1
], *[
Square(stroke_width=2, color="#DC75CD").add_updater(
lambda mob, obj=obj: mob.surround(
obj, stretch=True, buff=0.3)) for obj in a2
])),
run_time=5)
self.wait(2)
self.play(AnimationGroup(
ClockwiseTransform(a2[0], a1[0]),
ClockwiseTransform(a1[1], a2[1]),
Transform(a1[2], a2[2]),
Transform(a2[3], a1[3]),
CounterclockwiseTransform(a1[4], a2[4]),
CounterclockwiseTransform(a2[5], a1[5]),
),
run_time=25)
self.wait(3)
a1.shift([0.3, 0, 0]).set_color("#11FF00")
self.wait(3)
self.play(ApplyMethod(a1.shift, ([0.3, 0, 0])), run_time=3)
self.fadeout()
if 1 == 1:
self.play(
GrowFromCenter(
TextMobject(
r"\textit{\textbf{\underline{Methods\ of\ Transform}}}"
).shift([0, 3.6, 0])))
rows, cols = (9, 5)
x0, y0 = axes_point([0, 2, cols - 1, -4], [2.3, -0.8, rows - 1, 3])
txtx = ["loc 1", "loc 2", "m1", "m2"]
txty = [
"Transform", "ReplacementTransform", "TransformFromCopy",
"MoveToTarget"
]
a1 = Group()
a2 = Group()
a3 = Group()
a4 = Group()
for j in range(1, rows):
a1.add(Circle().scale(0.2).move_to([x0[1], y0[j], 0]))
a2.add(Square().scale(0.2).move_to([x0[2], y0[j], 0]))
a3.add(Dot().move_to([x0[3], y0[j], 0]).add_updater(
lambda mob, obj=a1[j - 1], x=x0[3], y=y0[j]: mob.become(
obj.copy().move_to([x, y, 0]))).suspend_updating())
a4.add(Dot().move_to([x0[4], y0[j], 0]).add_updater(
lambda mob, obj=a2[j - 1], x=x0[4], y=y0[j]: mob.become(
obj.copy().move_to([x, y, 0]))).suspend_updating())
a1[6].target = a2[6]
a1[7].target = a2[7]
self.play(FadeIn(
Group(
*[
TextMobject(txtx[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[1:], y0[0:1]))
], *[
TextMobject(txty[i]).move_to(each)
for i, each in enumerate(coord_grid(x0[0:1], y0[1::2]))
], *[Dot(each) for each in coord_grid(x0[1:3], y0[1:])],
TextMobject(r"$\rightarrow$").move_to(
([(x0[1] + x0[2]) / 2, y0[0], 0])), a1[::2], a2[::2],
a3, a4,
Group(*[
Square(
stroke_width=2, color="#FFFF00", fill_opacity=0.3).
add_updater(lambda mob, obj=obj: mob.surround(
obj, stretch=True, buff=0.2)) for obj in a1
]),
Group(*[
Square(stroke_width=2, color="#DC75CD").add_updater(
lambda mob, obj=obj: mob.surround(
obj, stretch=True, buff=0.3)) for obj in a2
]))),
run_time=5)
self.wait(2)
self.play(AnimationGroup(Transform(a1[0], a2[0]),
Transform(a1[1], a2[1]),
ReplacementTransform(a1[2], a2[2]),
ReplacementTransform(a1[3], a2[3]),
TransformFromCopy(a1[4], a2[4]),
TransformFromCopy(a1[5], a2[5]),
MoveToTarget(a1[6]), MoveToTarget(a1[7])),
run_time=40)
self.wait(3)
a1.shift([0.3, 0, 0]).set_color("#11FF00")
self.wait(10)
self.play(ApplyMethod(a1.shift, ([0.3, 0, 0])), run_time=5)
self.fadeout()
if 1 == 1:
self.play(EndScreen01())
self.wait(5)
def construct(self):
self.phase = 0
point_x, point_y = self.comp_point(0)
self.make_axes()
self.ellipse = VMobject(color=self.path_color)
self.phi = TexMobject(r"\Delta \Phi = ").set_color(BLACK).shift(4 *
RIGHT +
2 * UP)
self.phi_0 = TexMobject("0").set_color(BLACK).next_to(self.phi, RIGHT)
self.phi_pi_2 = TexMobject(r"\frac{\pi}{2}").set_color(BLACK).next_to(
self.phi, RIGHT).shift(0.06 * DOWN)
self.phi_3_pi_4 = TexMobject(r"\frac{3 \pi}{4}").set_color(
BLACK).next_to(self.phi, RIGHT)
self.x_vector = Vector(point_x * RIGHT,
color=self.axes_vector_color,
**self.vector_args)
self.y_vector = Vector(point_y * UP,
color=self.axes_vector_color,
**self.vector_args)
self.xy_vector = Vector(point_x * RIGHT + point_y * UP,
color=self.xy_vector_color,
**self.vector_args)
update_group = VGroup(
self.ellipse,
self.xy_vector,
self.x_vector,
self.y_vector,
)
self.wait(1.6)
self.add(self.ellipse)
self.play(FadeIn(self.x_vector))
# self.wait(1)
self.play(FadeIn(self.y_vector))
self.wait(4)
self.play(FadeIn(self.xy_vector))
self.play(UpdateFromAlphaFunc(update_group,
self.do_vectors_and_ellipse_period),
run_time=self.period,
rate_func=linear)
self.play(
UpdateFromAlphaFunc(update_group,
self.do_vectors_only_period,
run_time=self.period,
rate_func=linear))
self.play(
AnimationGroup(UpdateFromAlphaFunc(update_group,
self.do_vectors_only_period,
run_time=self.period,
rate_func=linear),
AnimationGroup(FadeIn(self.phi),
FadeIn(self.phi_0)),
lag_ratio=0.7))
self.play(
UpdateFromAlphaFunc(update_group,
self.do_vectors_only_period,
run_time=self.period,
rate_func=linear))
self.x_vector.set_color(BLACK)
self.play(UpdateFromAlphaFunc(update_group,
self.do_90_phase_shift,
rate_func=linear),
FadeOut(self.ellipse),
FadeOut(self.phi_0),
FadeIn(self.phi_pi_2),
run_time=self.period / 4)
self.phase = np.pi / 2
self.ellipse.set_points([])
self.x_vector.set_color(self.axes_vector_color)
self.play(UpdateFromAlphaFunc(update_group,
self.do_vectors_and_ellipse_period),
run_time=self.period,
rate_func=linear)
for _ in range(3):
self.play(UpdateFromAlphaFunc(update_group,
self.do_vectors_only_period),
run_time=self.period,
rate_func=linear)
self.x_vector.set_color(BLACK)
self.play(UpdateFromAlphaFunc(update_group,
self.do_45_phase_shift,
rate_func=linear),
FadeOut(self.ellipse),
FadeOut(self.phi_pi_2),
FadeIn(self.phi_3_pi_4),
run_time=self.period / 8)
self.phase = 3 * np.pi / 4
self.ellipse.set_points([])
self.x_vector.set_color(self.axes_vector_color)
self.play(UpdateFromAlphaFunc(update_group,
self.do_vectors_and_ellipse_period),
run_time=self.period,
rate_func=linear)
self.play(
AnimationGroup(UpdateFromAlphaFunc(
update_group,
self.do_vectors_only_period_hide,
rate_func=linear,
run_time=self.period),
AnimationGroup(FadeOut(self.phi_3_pi_4),
FadeOut(self.phi)),
lag_ratio=0.7))
self.play(FadeOut(self.axes), FadeOut(self.axes_labels))
self.wait()
