3b1b-videos/custom/drawings.py
Grant Sanderson 51e5de9ad1 Add MoveCar
2021-01-01 21:11:27 -08:00

501 lines
15 KiB
Python

from manim_imports_ext import *
# Related to pi creatures
class Car(SVGMobject):
CONFIG = {
"file_name": "Car",
"height": 1,
"color": LIGHT_GREY,
"light_colors": [BLACK, BLACK],
}
def __init__(self, **kwargs):
SVGMobject.__init__(self, **kwargs)
path = self.submobjects[0]
subpaths = path.get_subpaths()
path.clear_points()
for indices in [(0, 1), (2, 3), (4, 6, 7), (5,), (8,)]:
part = VMobject()
for index in indices:
part.append_points(subpaths[index])
path.add(part)
self.set_height(self.height)
self.set_stroke(color=WHITE, width=0)
self.set_fill(self.color, opacity=1)
from videos.characters.pi_creature import Randolph
randy = Randolph(mode="happy")
randy.set_height(0.6 * self.get_height())
randy.stretch(0.8, 0)
randy.look(RIGHT)
randy.move_to(self)
randy.shift(0.07 * self.height * (RIGHT + UP))
self.randy = self.pi_creature = randy
self.add_to_back(randy)
orientation_line = Line(self.get_left(), self.get_right())
orientation_line.set_stroke(width=0)
self.add(orientation_line)
self.orientation_line = orientation_line
for light, color in zip(self.get_lights(), self.light_colors):
light.set_fill(color, 1)
light.is_subpath = False
self.add_treds_to_tires()
def move_to(self, point_or_mobject):
vect = rotate_vector(
UP + LEFT, self.orientation_line.get_angle()
)
self.next_to(point_or_mobject, vect, buff=0)
return self
def get_front_line(self):
return DashedLine(
self.get_corner(UP + RIGHT),
self.get_corner(DOWN + RIGHT),
color=DISTANCE_COLOR,
dash_length=0.05,
)
def add_treds_to_tires(self):
for tire in self.get_tires():
radius = tire.get_width() / 2
center = tire.get_center()
tred = Line(
0.7 * radius * RIGHT, 1.1 * radius * RIGHT,
stroke_width=2,
color=BLACK
)
tred.rotate(PI / 5, about_point=tred.get_end())
for theta in np.arange(0, 2 * np.pi, np.pi / 4):
new_tred = tred.copy()
new_tred.rotate(theta, about_point=ORIGIN)
new_tred.shift(center)
tire.add(new_tred)
return self
def get_tires(self):
return VGroup(self[1][0], self[1][1])
def get_lights(self):
return VGroup(self.get_front_light(), self.get_rear_light())
def get_front_light(self):
return self[1][3]
def get_rear_light(self):
return self[1][4]
class MoveCar(ApplyMethod):
CONFIG = {
"moving_forward": True,
"run_time": 5,
}
def __init__(self, car, target_point, **kwargs):
self.check_if_input_is_car(car)
self.target_point = target_point
super().__init__(car.move_to, target_point, **kwargs)
def check_if_input_is_car(self, car):
if not isinstance(car, Car):
raise Exception("MoveCar must take in Car object")
def begin(self):
super().begin()
car = self.mobject
distance = get_norm(op.sub(
self.target_mobject.get_right(),
self.starting_mobject.get_right(),
))
if not self.moving_forward:
distance *= -1
tire_radius = car.get_tires()[0].get_width() / 2
self.total_tire_radians = -distance / tire_radius
def interpolate_mobject(self, alpha):
ApplyMethod.interpolate_mobject(self, alpha)
if alpha == 0:
return
radians = alpha * self.total_tire_radians
for tire in self.mobject.get_tires():
tire.rotate_in_place(radians)
class PartyHat(SVGMobject):
CONFIG = {
"file_name": "party_hat",
"height": 1.5,
"pi_creature": None,
"stroke_width": 0,
"fill_opacity": 1,
"frills_colors": [MAROON_B, PURPLE],
"cone_color": GREEN,
"dots_colors": [YELLOW],
}
NUM_FRILLS = 7
NUM_DOTS = 6
def __init__(self, **kwargs):
SVGMobject.__init__(self, **kwargs)
self.set_height(self.height)
if self.pi_creature is not None:
self.next_to(self.pi_creature.eyes, UP, buff=0)
self.frills = VGroup(*self[:self.NUM_FRILLS])
self.cone = self[self.NUM_FRILLS]
self.dots = VGroup(*self[self.NUM_FRILLS + 1:])
self.frills.set_color_by_gradient(*self.frills_colors)
self.cone.set_color(self.cone_color)
self.dots.set_color_by_gradient(*self.dots_colors)
class SunGlasses(SVGMobject):
CONFIG = {
"file_name": "sunglasses",
"glasses_width_to_eyes_width": 1.1,
}
def __init__(self, pi_creature, **kwargs):
SVGMobject.__init__(self, **kwargs)
self.set_stroke(WHITE, width=0)
self.set_fill(GREY, 1)
self.set_width(
self.glasses_width_to_eyes_width * pi_creature.eyes.get_width()
)
self.move_to(pi_creature.eyes, UP)
class Headphones(SVGMobject):
CONFIG = {
"file_name": "headphones",
"height": 2,
"y_stretch_factor": 0.5,
"color": GREY,
}
def __init__(self, pi_creature=None, **kwargs):
digest_config(self, kwargs)
SVGMobject.__init__(self, file_name=self.file_name, **kwargs)
self.stretch(self.y_stretch_factor, 1)
self.set_height(self.height)
self.set_stroke(width=0)
self.set_fill(color=self.color)
if pi_creature is not None:
eyes = pi_creature.eyes
self.set_height(3 * eyes.get_height())
self.move_to(eyes, DOWN)
self.shift(DOWN * eyes.get_height() / 4)
class Guitar(SVGMobject):
CONFIG = {
"file_name": "guitar",
"height": 2.5,
"fill_color": DARK_GREY,
"fill_opacity": 1,
"stroke_color": WHITE,
"stroke_width": 0.5,
}
# Cards
class DeckOfCards(VGroup):
def __init__(self, **kwargs):
possible_values = list(map(str, list(range(1, 11)))) + ["J", "Q", "K"]
possible_suits = ["hearts", "diamonds", "spades", "clubs"]
VGroup.__init__(self, *[
PlayingCard(value=value, suit=suit, **kwargs)
for value in possible_values
for suit in possible_suits
])
class PlayingCard(VGroup):
CONFIG = {
"value": None,
"suit": None,
"key": None, # String like "8H" or "KS"
"height": 2,
"height_to_width": 3.5 / 2.5,
"card_height_to_symbol_height": 7,
"card_width_to_corner_num_width": 10,
"card_height_to_corner_num_height": 10,
"color": GREY_A,
"turned_over": False,
"possible_suits": ["hearts", "diamonds", "spades", "clubs"],
"possible_values": list(map(str, list(range(2, 11)))) + ["J", "Q", "K", "A"],
}
def __init__(self, key=None, **kwargs):
VGroup.__init__(self, **kwargs)
self.key = key
self.add(Rectangle(
height=self.height,
width=self.height / self.height_to_width,
stroke_color=WHITE,
stroke_width=2,
fill_color=self.color,
fill_opacity=1,
))
if self.turned_over:
self.set_fill(DARK_GREY)
self.set_stroke(LIGHT_GREY)
contents = VectorizedPoint(self.get_center())
else:
value = self.get_value()
symbol = self.get_symbol()
design = self.get_design(value, symbol)
corner_numbers = self.get_corner_numbers(value, symbol)
contents = VGroup(design, corner_numbers)
self.design = design
self.corner_numbers = corner_numbers
self.add(contents)
def get_value(self):
value = self.value
if value is None:
if self.key is not None:
value = self.key[:-1]
else:
value = random.choice(self.possible_values)
value = str(value).upper()
if value == "1":
value = "A"
if value not in self.possible_values:
raise Exception("Invalid card value")
face_card_to_value = {
"J": 11,
"Q": 12,
"K": 13,
"A": 14,
}
try:
self.numerical_value = int(value)
except Exception:
self.numerical_value = face_card_to_value[value]
return value
def get_symbol(self):
suit = self.suit
if suit is None:
if self.key is not None:
suit = dict([
(s[0].upper(), s)
for s in self.possible_suits
])[self.key[-1].upper()]
else:
suit = random.choice(self.possible_suits)
if suit not in self.possible_suits:
raise Exception("Invalud suit value")
self.suit = suit
symbol_height = float(self.height) / self.card_height_to_symbol_height
symbol = SuitSymbol(suit, height=symbol_height)
return symbol
def get_design(self, value, symbol):
if value == "A":
return self.get_ace_design(symbol)
if value in list(map(str, list(range(2, 11)))):
return self.get_number_design(value, symbol)
else:
return self.get_face_card_design(value, symbol)
def get_ace_design(self, symbol):
design = symbol.copy().scale(1.5)
design.move_to(self)
return design
def get_number_design(self, value, symbol):
num = int(value)
n_rows = {
2: 2,
3: 3,
4: 2,
5: 2,
6: 3,
7: 3,
8: 3,
9: 4,
10: 4,
}[num]
n_cols = 1 if num in [2, 3] else 2
insertion_indices = {
5: [0],
7: [0],
8: [0, 1],
9: [1],
10: [0, 2],
}.get(num, [])
top = self.get_top() + symbol.get_height() * DOWN
bottom = self.get_bottom() + symbol.get_height() * UP
column_points = [
interpolate(top, bottom, alpha)
for alpha in np.linspace(0, 1, n_rows)
]
design = VGroup(*[
symbol.copy().move_to(point)
for point in column_points
])
if n_cols == 2:
space = 0.2 * self.get_width()
column_copy = design.copy().shift(space * RIGHT)
design.shift(space * LEFT)
design.add(*column_copy)
design.add(*[
symbol.copy().move_to(
center_of_mass(column_points[i:i + 2])
)
for i in insertion_indices
])
for symbol in design:
if symbol.get_center()[1] < self.get_center()[1]:
symbol.rotate_in_place(np.pi)
return design
def get_face_card_design(self, value, symbol):
from videos.characters.pi_creature import PiCreature
sub_rect = Rectangle(
stroke_color=BLACK,
fill_opacity=0,
height=0.9 * self.get_height(),
width=0.6 * self.get_width(),
)
sub_rect.move_to(self)
# pi_color = average_color(symbol.get_color(), GREY)
pi_color = symbol.get_color()
if Color(pi_color) == Color(BLACK):
pi_color = GREY_D
pi_mode = {
"J": "plain",
"Q": "thinking",
"K": "hooray"
}[value]
pi_creature = PiCreature(
mode=pi_mode,
color=pi_color,
)
pi_creature.set_width(0.8 * sub_rect.get_width())
if value in ["Q", "K"]:
prefix = "king" if value == "K" else "queen"
crown = SVGMobject(file_name=prefix + "_crown")
crown.set_stroke(width=0)
crown.set_fill(YELLOW, 1)
crown.stretch_to_fit_width(0.5 * sub_rect.get_width())
crown.stretch_to_fit_height(0.17 * sub_rect.get_height())
crown.move_to(pi_creature.eyes.get_center(), DOWN)
pi_creature.add_to_back(crown)
to_top_buff = 0
else:
to_top_buff = SMALL_BUFF * sub_rect.get_height()
pi_creature.next_to(sub_rect.get_top(), DOWN, to_top_buff)
# pi_creature.shift(0.05*sub_rect.get_width()*RIGHT)
pi_copy = pi_creature.copy()
pi_copy.rotate(np.pi, about_point=sub_rect.get_center())
return VGroup(sub_rect, pi_creature, pi_copy)
def get_corner_numbers(self, value, symbol):
value_mob = TextMobject(value)
width = self.get_width() / self.card_width_to_corner_num_width
height = self.get_height() / self.card_height_to_corner_num_height
value_mob.set_width(width)
value_mob.stretch_to_fit_height(height)
value_mob.next_to(
self.get_corner(UP + LEFT), DOWN + RIGHT,
buff=MED_LARGE_BUFF * width
)
value_mob.set_color(symbol.get_color())
corner_symbol = symbol.copy()
corner_symbol.set_width(width)
corner_symbol.next_to(
value_mob, DOWN,
buff=MED_SMALL_BUFF * width
)
corner_group = VGroup(value_mob, corner_symbol)
opposite_corner_group = corner_group.copy()
opposite_corner_group.rotate(
np.pi, about_point=self.get_center()
)
return VGroup(corner_group, opposite_corner_group)
class SuitSymbol(SVGMobject):
CONFIG = {
"height": 0.5,
"fill_opacity": 1,
"stroke_width": 0,
"red": "#D02028",
"black": BLACK,
}
def __init__(self, suit_name, **kwargs):
digest_config(self, kwargs)
suits_to_colors = {
"hearts": self.red,
"diamonds": self.red,
"spades": self.black,
"clubs": self.black,
}
if suit_name not in suits_to_colors:
raise Exception("Invalid suit name")
SVGMobject.__init__(self, file_name=suit_name, **kwargs)
color = suits_to_colors[suit_name]
self.set_stroke(width=0)
self.set_fill(color, 1)
self.set_height(self.height)
# Logos
class AoPSLogo(SVGMobject):
CONFIG = {
"file_name": "aops_logo",
"height": 1.5,
}
def __init__(self, **kwargs):
SVGMobject.__init__(self, **kwargs)
self.set_stroke(WHITE, width=0)
colors = [BLUE_E, "#008445", GREEN_B]
index_lists = [
(10, 11, 12, 13, 14, 21, 22, 23, 24, 27, 28, 29, 30),
(0, 1, 2, 3, 4, 15, 16, 17, 26),
(5, 6, 7, 8, 9, 18, 19, 20, 25)
]
for color, index_list in zip(colors, index_lists):
for i in index_list:
self.submobjects[i].set_fill(color, opacity=1)
self.set_height(self.height)
self.center()
class BitcoinLogo(SVGMobject):
CONFIG = {
"file_name": "Bitcoin_logo",
"height": 1,
"fill_color": "#f7931a",
"inner_color": WHITE,
"fill_opacity": 1,
"stroke_width": 0,
}
def __init__(self, **kwargs):
SVGMobject.__init__(self, **kwargs)
self[0].set_fill(self.fill_color, self.fill_opacity)
self[1].set_fill(self.inner_color, 1)