def construct(self):
# Set objets
theta = ValueTracker(self.theta)
line_1 = Line(ORIGIN, RIGHT * self.lines_size, color=self.line_1_color)
line_2 = Line(ORIGIN, RIGHT * self.lines_size, color=self.line_2_color)
line_2.rotate(theta.get_value(), about_point=ORIGIN)
line_2.add_updater(lambda m: m.set_angle(theta.get_value()))
angle = Arc(radius=self.radius,
start_angle=line_1.get_angle(),
angle=line_2.get_angle(),
color=self.radius_color)
# Show the objects
self.play(*[ShowCreation(obj) for obj in [line_1, line_2, angle]])
# Set update function to angle
angle.add_updater(lambda m: m.become(
Arc(radius=self.radius,
start_angle=line_1.get_angle(),
angle=line_2.get_angle(),
color=self.radius_color)))
# Remember to add the objects again to the screen
# when you add the add_updater method.
self.add(angle)
self.play(theta.increment_value, self.increment_theta)
# self.play(theta.set_value,self.final_theta)
self.wait()
def get_tex(self,
tex,
scale=1,
buff=1,
invert_dir=False,
invert_texto=False,
remove_rot=True,
**moreargs):
linea_referencia = Line(self[0][0].get_start(), self[0][-1].get_end())
texto = TexMobject(tex, **moreargs)
ancho = texto.get_height() / 2
if invert_texto:
inv = PI
else:
inv = 0
if remove_rot:
texto.scale(scale).move_to(self)
else:
texto.rotate(
linea_referencia.get_angle()).scale(scale).move_to(self)
texto.rotate(inv)
if invert_dir:
inv = -1
else:
inv = 1
texto.shift(self.direccion * (buff + 1) * ancho)
return texto
def add_size(self, text, scale=1, buff=0.1, **moreargs):
linea_referencia = Line(self[0][0].get_start(), self[0][-1].get_end())
texto = TextMobject(text, **moreargs)
ancho = texto.get_height() / 2
texto.rotate(linea_referencia.get_angle())
texto.shift(self.direccion * (buff + 1) * ancho)
return self.add(texto)
class NumberLine(VMobject):
CONFIG = {
"color": LIGHT_GREY,
"x_min": -FRAME_X_RADIUS,
"x_max": FRAME_X_RADIUS,
"unit_size": 1,
"tick_size": 0.1,
"tick_frequency": 1,
"leftmost_tick": None, # Defaults to value near x_min s.t. 0 is a tick
"numbers_with_elongated_ticks": [0],
"include_numbers": False,
"numbers_to_show": None,
"longer_tick_multiple": 2,
"number_at_center": 0,
"number_scale_val": 0.75,
"label_direction": DOWN,
"line_to_number_buff": MED_SMALL_BUFF,
"include_tip": False,
"propagate_style_to_family": True,
"decimal_number_config": {
"num_decimal_places": 0,
}
}
def __init__(self, **kwargs):
digest_config(self, kwargs)
if self.leftmost_tick is None:
tf = self.tick_frequency
self.leftmost_tick = tf * np.ceil(self.x_min / tf)
VMobject.__init__(self, **kwargs)
if self.include_tip:
self.add_tip()
if self.include_numbers:
self.add_numbers()
def generate_points(self):
self.main_line = Line(self.x_min * RIGHT, self.x_max * RIGHT)
self.tick_marks = VGroup()
self.add(self.main_line, self.tick_marks)
rounding_value = int(-np.log10(0.1 * self.tick_frequency))
rounded_numbers_with_elongated_ticks = np.round(
self.numbers_with_elongated_ticks, rounding_value)
for x in self.get_tick_numbers():
rounded_x = np.round(x, rounding_value)
if rounded_x in rounded_numbers_with_elongated_ticks:
tick_size_used = self.longer_tick_multiple * self.tick_size
else:
tick_size_used = self.tick_size
self.add_tick(x, tick_size_used)
self.stretch(self.unit_size, 0)
self.shift(-self.number_to_point(self.number_at_center))
def add_tick(self, x, size=None):
self.tick_marks.add(self.get_tick(x, size))
return self
def get_tick(self, x, size=None):
if size is None:
size = self.tick_size
result = Line(size * DOWN, size * UP)
result.rotate(self.main_line.get_angle())
result.move_to(self.number_to_point(x))
return result
def get_tick_marks(self):
return self.tick_marks
def get_tick_numbers(self):
epsilon = 0.001
return np.arange(self.leftmost_tick, self.x_max + epsilon,
self.tick_frequency)
def number_to_point(self, number):
alpha = float(number - self.x_min) / (self.x_max - self.x_min)
return interpolate(self.main_line.get_start(),
self.main_line.get_end(), alpha)
def point_to_number(self, point):
start_point, end_point = self.main_line.get_start_and_end()
full_vect = end_point - start_point
unit_vect = normalize(full_vect)
def distance_from_start(p):
return np.dot(p - start_point, unit_vect)
proportion = fdiv(distance_from_start(point),
distance_from_start(end_point))
return interpolate(self.x_min, self.x_max, proportion)
def default_numbers_to_display(self):
if self.numbers_to_show is not None:
return self.numbers_to_show
return np.arange(int(self.leftmost_tick), int(self.x_max) + 1)
def get_number_mobjects(self, *numbers, **kwargs):
# TODO, handle decimals
if len(numbers) == 0:
numbers = self.default_numbers_to_display()
result = VGroup()
for number in numbers:
mob = DecimalNumber(number, **self.decimal_number_config)
mob.scale(self.number_scale_val)
mob.next_to(
self.number_to_point(number),
self.label_direction,
self.line_to_number_buff,
)
result.add(mob)
return result
def get_labels(self):
return self.get_number_mobjects()
def add_numbers(self, *numbers, **kwargs):
self.numbers = self.get_number_mobjects(*numbers, **kwargs)
self.add(self.numbers)
return self
def add_tip(self):
start, end = self.main_line.get_start_and_end()
vect = (end - start) / get_norm(end - start)
arrow = Arrow(start, end + MED_SMALL_BUFF * vect, buff=0)
tip = arrow.tip
tip.set_stroke(width=self.get_stroke_width())
tip.set_color(self.color)
self.tip = tip
self.add(tip)
