def generate_symbol(self):
symbol = RegularPolygon(
n = 3, stroke_width = 0,
fill_color = self.color, fill_opacity = 1,
)
symbol.set_height(self.inner_radius)
return symbol
def add_T_label(self,
x_val,
side=RIGHT,
label=None,
color=WHITE,
animated=False,
**kwargs):
triangle = RegularPolygon(n=3, start_angle=np.pi / 2)
triangle.set_height(MED_SMALL_BUFF)
triangle.move_to(self.coords_to_point(x_val, 0), UP)
triangle.set_fill(color, 1)
triangle.set_stroke(width=0)
if label is None:
T_label = TexMobject(self.variable_point_label, fill_color=color)
else:
T_label = TexMobject(label, fill_color=color)
T_label.next_to(triangle, DOWN)
v_line = self.get_vertical_line_to_graph(x_val,
self.v_graph,
color=YELLOW)
if animated:
self.play(DrawBorderThenFill(triangle), ShowCreation(v_line),
Write(T_label, run_time=1), **kwargs)
if np.all(side == LEFT):
self.left_T_label_group = VGroup(T_label, triangle)
self.left_v_line = v_line
self.add(self.left_T_label_group, self.left_v_line)
elif np.all(side == RIGHT):
self.right_T_label_group = VGroup(T_label, triangle)
self.right_v_line = v_line
self.add(self.right_T_label_group, self.right_v_line)
def construct(self):
number_line = NumberLine(x_min=-1, x_max=1)
triangle = RegularPolygon(3, start_angle=-PI / 2) \
.scale(0.2) \
.next_to(number_line.get_left(), UP, buff=SMALL_BUFF)
decimal = DecimalNumber(
0,
num_decimal_places=3,
include_sign=True,
unit="\\rm cm", # Change this with None
)
decimal.add_updater(lambda d: d.next_to(triangle, UP * 0.1))
decimal.add_updater(lambda d: d.set_value(triangle.get_center()[0]))
# You can get the value of decimal with: .get_value()
self.add(number_line, triangle, decimal)
self.play(
triangle.shift,
RIGHT * 2,
rate_func=there_and_back, # Change this with: linear,smooth
run_time=5)
self.wait()
def add_T_label(self, x_val, side=RIGHT, label=None, color=WHITE, animated=False, **kwargs):
"""
This method adds to the Scene:
-- a Vertical line from the x-axis to the corresponding point on the graph/curve.
-- a small vertical Triangle whose top point lies on the base of the vertical line
-- a TexMobject to be a label for the Line and Triangle, at the bottom of the Triangle.
The scene needs to have the graph have the identifier/variable name self.v_graph.
Parameters
----------
x_val (Union[float, int])
The x value at which the secant enters, and intersects
the graph for the first time.
side (np.ndarray())
label (str)
The label to give the vertline and triangle
color (str)
The hex color of the label.
animated (bool=False)
Whether or not to animate the addition of the T_label
**kwargs
Any valid keyword argument of a self.play call.
"""
triangle = RegularPolygon(n=3, start_angle=np.pi / 2)
triangle.set_height(MED_SMALL_BUFF)
triangle.move_to(self.coords_to_point(x_val, 0), UP)
triangle.set_fill(color, 1)
triangle.set_stroke(width=0)
if label is None:
T_label = TexMobject(self.variable_point_label, fill_color=color)
else:
T_label = TexMobject(label, fill_color=color)
T_label.next_to(triangle, DOWN)
v_line = self.get_vertical_line_to_graph(
x_val, self.v_graph,
color=YELLOW
)
if animated:
self.play(
DrawBorderThenFill(triangle),
ShowCreation(v_line),
Write(T_label, run_time=1),
**kwargs
)
if np.all(side == LEFT):
self.left_T_label_group = VGroup(T_label, triangle)
self.left_v_line = v_line
self.add(self.left_T_label_group, self.left_v_line)
elif np.all(side == RIGHT):
self.right_T_label_group = VGroup(T_label, triangle)
self.right_v_line = v_line
self.add(self.right_T_label_group, self.right_v_line)
def generate_points(self):
self.points = []
inner_tri = RegularPolygon(n = 3, start_angle = np.pi/2)
outer_tri = RegularPolygon(n = 3, start_angle = np.pi/2)
inner_tri.flip()
inner_tri.set_height(self.inner_height, about_point = ORIGIN)
outer_tri.set_height(self.outer_height, about_point = ORIGIN)
self.points = outer_tri.points
self.add_subpath(inner_tri.points)
def add_T_label(self, x_val, side=RIGHT, label=None, color=WHITE, animated=False, **kwargs):
triangle = RegularPolygon(n=3, start_angle=np.pi / 2)
triangle.set_height(MED_SMALL_BUFF)
triangle.move_to(self.coords_to_point(x_val, 0), UP)
triangle.set_fill(color, 1)
triangle.set_stroke(width=0)
if label is None:
T_label = TexMobject(self.variable_point_label, fill_color=color)
else:
T_label = TexMobject(label, fill_color=color)
T_label.next_to(triangle, DOWN)
v_line = self.get_vertical_line_to_graph(
x_val, self.v_graph,
color=YELLOW
)
if animated:
self.play(
DrawBorderThenFill(triangle),
ShowCreation(v_line),
Write(T_label, run_time=1),
**kwargs
)
if np.all(side == LEFT):
self.left_T_label_group = VGroup(T_label, triangle)
self.left_v_line = v_line
self.add(self.left_T_label_group, self.left_v_line)
elif np.all(side == RIGHT):
self.right_T_label_group = VGroup(T_label, triangle)
self.right_v_line = v_line
self.add(self.right_T_label_group, self.right_v_line)
def construct(self):
number_line = NumberLine(x_min=-2, x_max=2)
triangle = RegularPolygon(3, start_angle=-PI / 2) \
.scale(0.2) \
.next_to(number_line.get_left(), UP, buff=SMALL_BUFF)
numbers = VGroup(
*[TextMobject("%s" % i) \
.next_to(number_line.get_tick(i - 2), DOWN) for i in range(1, 5)]
)
self.add(number_line)
self.play(ShowCreation(triangle))
self.wait(0.3)
self.play(
ApplyMethod(triangle.shift,
RIGHT * 4,
rate_func=linear,
run_time=4),
*[
AnimationGroup(Animation(Mobject(), run_time=i + 1),
Write(numbers[i]),
lag_ratio=1) for i in range(4)
],
)
self.wait()
def generate_symbol(self):
symbol = VGroup(*[
RegularPolygon(
n=3, stroke_width=0, fill_color=self.color, fill_opacity=1)
for i in range(2)
])
symbol.arrange_submobjects(RIGHT, buff=0)
symbol.set_height(self.inner_radius * 0.7)
return symbol
def construct(self):
number_line = NumberLine(x_min=-1, x_max=1)
triangle = RegularPolygon(3, start_angle=-PI / 2) \
.scale(0.2) \
.next_to(number_line.get_left(), UP, buff=SMALL_BUFF)
def update_t(triangle, dt):
triangle.shift(RIGHT * dt)
self.add(number_line, triangle)
self.wait(0.3)
triangle.shift(LEFT)
triangle.add_updater(update_t)
# The animation begins
self.wait(2)
triangle.clear_updaters()
self.wait()
def construct(self):
number_line = NumberLine(x_min=-2, x_max=2)
triangle = RegularPolygon(3, start_angle=-PI / 2) \
.scale(0.2) \
.next_to(number_line.get_left(), UP, buff=SMALL_BUFF)
text_1 = TextMobject("1") \
.next_to(number_line.get_tick(-1), DOWN)
text_2 = TextMobject("2") \
.next_to(number_line.get_tick(0), DOWN)
text_3 = TextMobject("3") \
.next_to(number_line.get_tick(1), DOWN)
text_4 = TextMobject("4") \
.next_to(number_line.get_tick(2), DOWN)
self.add(number_line)
self.play(ShowCreation(triangle))
self.wait(0.3)
self.play(
ApplyMethod(triangle.shift,
RIGHT * 4,
rate_func=linear,
run_time=4),
AnimationGroup(Animation(Mobject(), run_time=1),
Write(text_1),
lag_ratio=1),
AnimationGroup(Animation(Mobject(), run_time=2),
Write(text_2),
lag_ratio=1),
AnimationGroup(Animation(Mobject(), run_time=3),
Write(text_3),
lag_ratio=1),
AnimationGroup(Animation(Mobject(), run_time=4),
Write(text_4),
lag_ratio=1))
self.wait()
def get_seed_shape(self):
return RegularPolygon(n=6)
def get_seed_shape(self):
return RegularPolygon(n=5, start_angle=np.pi / 2)
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)
