def update_group(group, alpha):
area, left_v_line, left_T_label, right_v_line, right_T_label = group
t_min = interpolate(curr_t_min, new_t_min, alpha)
t_max = interpolate(curr_t_max, new_t_max, alpha)
new_area = self.get_area(graph, t_min, t_max)
new_left_v_line = self.get_vertical_line_to_graph(
t_min, graph
)
new_left_v_line.set_color(left_v_line.get_color())
left_T_label.move_to(new_left_v_line.get_bottom(), UP)
new_right_v_line = self.get_vertical_line_to_graph(
t_max, graph
)
new_right_v_line.set_color(right_v_line.get_color())
right_T_label.move_to(new_right_v_line.get_bottom(), UP)
# Fade close to 0
if fade_close_to_origin:
if len(left_T_label) > 0:
left_T_label[0].set_fill(opacity=min(1, np.abs(t_min)))
if len(right_T_label) > 0:
right_T_label[0].set_fill(opacity=min(1, np.abs(t_max)))
Transform(area, new_area).update(1)
Transform(left_v_line, new_left_v_line).update(1)
Transform(right_v_line, new_right_v_line).update(1)
return group
def update_func(group, alpha):
dx = interpolate(start_dx, target_dx, alpha)
x = interpolate(start_x, target_x, alpha)
kwargs = dict(secant_slope_group.kwargs)
kwargs["dx"] = dx
kwargs["x"] = x
new_group = self.get_secant_slope_group(**kwargs)
group.become(new_group)
return group
def add_line_to(self, point):
nppcc = self.n_points_per_cubic_curve
self.add_cubic_bezier_curve_to(*[
interpolate(self.get_last_point(), point, a)
for a in np.linspace(0, 1, nppcc)[1:]
])
return self
def compile_play_args_to_animation_list(self, *args, **kwargs):
"""
Add animations so that all pi creatures look at the
first mobject being animated with each .play call
"""
animations = Scene.compile_play_args_to_animation_list(self, *args, **kwargs)
if not self.any_pi_creatures_on_screen():
return animations
pi_creatures = self.get_on_screen_pi_creatures()
non_pi_creature_anims = [
anim
for anim in animations
if len(set(anim.mobject.get_family()).intersection(pi_creatures)) == 0
]
if len(non_pi_creature_anims) == 0:
return animations
# Get pi creatures to look at whatever
# is being animated
first_anim = non_pi_creature_anims[0]
main_mobject = first_anim.mobject
animations += [
UpdateFromAlphaFunc(
pi_creature,
lambda p, a: p.look_at(
interpolate(
p.get_look_at_spot(),
main_mobject.get_center(),
a,
)
),
)
for pi_creature in pi_creatures
]
return animations
def __init__(self, decimal_mob, target_number, **kwargs):
start_number = decimal_mob.number
super().__init__(
decimal_mob,
lambda a: interpolate(start_number, target_number, a),
**kwargs
)
def random_bright_color():
color = random_color()
curr_rgb = color_to_rgb(color)
new_rgb = interpolate(
curr_rgb, np.ones(len(curr_rgb)), 0.5
)
return Color(rgb=new_rgb)
def straight_path(start_points, end_points, alpha):
"""
Same function as interpolate, but renamed to reflect
intent of being used to determine how a set of points move
to another set. For instance, it should be a specific case
of path_along_arc
"""
return interpolate(start_points, end_points, alpha)
def set_points_as_corners(self, points):
nppcc = self.n_points_per_cubic_curve
points = np.array(points)
self.set_anchors_and_handles(*[
interpolate(points[:-1], points[1:], a)
for a in np.linspace(0, 1, nppcc)
])
return self
def set_colors_by_radial_gradient(self, center=None, radius=1, inner_color=WHITE, outer_color=BLACK):
start_rgba, end_rgba = list(map(color_to_rgba, [start_color, end_color]))
if center is None:
center = self.get_center()
for mob in self.family_members_with_points():
num_points = mob.get_num_points()
t = min(1, np.abs(mob.get_center() - center) / radius)
mob.rgbas = np.array(
[interpolate(start_rgba, end_rgba, t)] * num_points
)
return self
def add_line(self, start, end, color=None):
start, end = list(map(np.array, [start, end]))
length = get_norm(end - start)
if length == 0:
points = [start]
else:
epsilon = self.epsilon / length
points = [
interpolate(start, end, t)
for t in np.arange(0, 1, epsilon)
]
self.add_points(points, color=color)
def point_to_number(self, point):
start_point, end_point = self.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 func(values):
alphas = inverse_interpolate(
min_value, max_value, np.array(values)
)
alphas = np.clip(alphas, 0, 1)
# if flip_alphas:
# alphas = 1 - alphas
scaled_alphas = alphas * (len(rgbs) - 1)
indices = scaled_alphas.astype(int)
next_indices = np.clip(indices + 1, 0, len(rgbs) - 1)
inter_alphas = scaled_alphas % 1
inter_alphas = inter_alphas.repeat(3).reshape((len(indices), 3))
result = interpolate(rgbs[indices], rgbs[next_indices], inter_alphas)
return result
def color_gradient(reference_colors, length_of_output):
if length_of_output == 0:
return reference_colors[0]
rgbs = list(map(color_to_rgb, reference_colors))
alphas = np.linspace(0, (len(rgbs) - 1), length_of_output)
floors = alphas.astype('int')
alphas_mod1 = alphas % 1
# End edge case
alphas_mod1[-1] = 1
floors[-1] = len(rgbs) - 2
return [
rgb_to_color(interpolate(rgbs[i], rgbs[i + 1], alpha))
for i, alpha in zip(floors, alphas_mod1)
]
def change_anchor_mode(self, mode):
assert(mode in ["jagged", "smooth"])
nppcc = self.n_points_per_cubic_curve
for submob in self.family_members_with_points():
subpaths = submob.get_subpaths()
submob.clear_points()
for subpath in subpaths:
anchors = np.append(
subpath[::nppcc],
subpath[-1:],
0
)
if mode == "smooth":
h1, h2 = get_smooth_handle_points(anchors)
elif mode == "jagged":
a1 = anchors[:-1]
a2 = anchors[1:]
h1 = interpolate(a1, a2, 1.0 / 3)
h2 = interpolate(a1, a2, 2.0 / 3)
new_subpath = np.array(subpath)
new_subpath[1::nppcc] = h1
new_subpath[2::nppcc] = h2
submob.append_points(new_subpath)
return self
def set_color_by_gradient(self, *colors):
self.rgbas = np.array(list(map(
color_to_rgba,
color_gradient(colors, len(self.points))
)))
return self
start_rgba, end_rgba = list(map(color_to_rgba, [start_color, end_color]))
for mob in self.family_members_with_points():
num_points = mob.get_num_points()
mob.rgbas = np.array([
interpolate(start_rgba, end_rgba, alpha)
for alpha in np.arange(num_points) / float(num_points)
])
return self
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 interpolate_color(self, mobject1, mobject2, alpha):
attrs = [
"fill_rgbas",
"stroke_rgbas",
"background_stroke_rgbas",
"stroke_width",
"background_stroke_width",
"sheen_direction",
"sheen_factor",
]
for attr in attrs:
setattr(self, attr, interpolate(
getattr(mobject1, attr),
getattr(mobject2, attr),
alpha
))
if alpha == 1.0:
setattr(self, attr, getattr(mobject2, attr))
def interpolate_color(self, mobject1, mobject2, alpha):
attrs = [
"fill_rgbas",
"stroke_rgbas",
"background_stroke_rgbas",
"stroke_width",
"background_stroke_width",
"sheen_direction",
"sheen_factor",
]
for attr in attrs:
setattr(self, attr, interpolate(
getattr(mobject1, attr),
getattr(mobject2, attr),
alpha
))
if alpha == 1.0:
setattr(self, attr, getattr(mobject2, attr))
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 change_anchor_mode(self, mode):
assert (mode in ["jagged", "smooth"])
nppc = self.n_points_per_curve
for submob in self.family_members_with_points():
subpaths = submob.get_subpaths()
submob.clear_points()
for subpath in subpaths:
anchors = np.vstack([subpath[::nppc], subpath[-1:]])
if mode == "smooth":
h1, h2 = get_smooth_handle_points(anchors)
new_subpath = get_quadratic_approximation_of_cubic(
anchors[:-1], h1, h2, anchors[1:])
elif mode == "jagged":
new_subpath = np.array(subpath)
new_subpath[1::nppc] = interpolate(anchors[:-1],
anchors[1:], 0.5)
submob.append_points(new_subpath)
submob.refresh_triangulation()
return self
def generate_points(self):
length = get_norm(self.end - self.start)
if length == 0:
self.add(Line(self.start, self.end))
return self
num_interp_points = int(length / self.dashed_segment_length)
# Even number ensures that start and end points are hit
if num_interp_points % 2 == 1:
num_interp_points += 1
points = [
interpolate(self.start, self.end, alpha)
for alpha in np.linspace(0, 1, num_interp_points)
]
includes = it.cycle([True, False])
self.submobjects = [
Line(p1, p2, **self.init_kwargs)
for p1, p2, include in zip(points, points[1:], includes) if include
]
self.put_start_and_end_on_with_projection(self.start, self.end)
return self
def generate_points(self):
dim, border = self.get_dimension_and_border()
axis = self.get_rotation_axis()
anchors = border.get_anchors()
num_pts = dim + 1
lpts, rpts = pts = [[
interpolate(sv, ev, alpha) for alpha in np.linspace(0, 1, num_pts)
][1:-1] for sv, ev in (anchors[0:2:1], anchors[-2:-4:-1])]
lines = VGroup(*[
DashedLine(lp, rp, **self.line_config)
for lp, rp in zip(lpts, rpts)
])
for angle in np.linspace(0, 2 * np.pi, 6, endpoint=False):
self.add(lines.copy().rotate_about_origin(angle, axis=axis))
for k in range(3):
self.add(DashedLine(anchors[k], anchors[k + 3],
**self.line_config))
# Hacky solution to the perspective problem in 3D
if self.mob_type == "ct":
height = self.ct_or_hexagon.get_height()
self.shift(height * (IN + LEFT + DOWN))
def interpolate_submobject(self, submobject, starting_sumobject, alpha):
anchor_widths = self.submob_to_anchor_widths[hash(submobject)]
# Create a gaussian such that 3 sigmas out on either side
# will equals time_width
tw = self.time_width
sigma = tw / 6
mu = interpolate(-tw / 2, 1 + tw / 2, alpha)
def gauss_kernel(x):
if abs(x - mu) > 3 * sigma:
return 0
z = (x - mu) / sigma
return math.exp(-0.5 * z * z)
kernel_array = list(
map(gauss_kernel, np.linspace(0, 1, len(anchor_widths))))
scaled_widths = anchor_widths * kernel_array
new_widths = np.zeros(submobject.get_num_points())
new_widths[0::3] = scaled_widths[:-1]
new_widths[2::3] = scaled_widths[1:]
new_widths[1::3] = (new_widths[0::3] + new_widths[2::3]) / 2
submobject.set_stroke(width=new_widths)
def fractalification_iteration(vmobject,
dimension=1.05,
num_inserted_anchors_range=list(range(1, 4))):
num_points = vmobject.get_num_points()
if num_points > 0:
# original_anchors = vmobject.get_anchors()
original_anchors = [
vmobject.point_from_proportion(x)
for x in np.linspace(0, 1 - 1. / num_points, num_points)
]
new_anchors = []
for p1, p2, in zip(original_anchors, original_anchors[1:]):
num_inserts = random.choice(num_inserted_anchors_range)
inserted_points = [
interpolate(p1, p2, alpha)
for alpha in np.linspace(0, 1, num_inserts + 2)[1:-1]
]
mass_scaling_factor = 1. / (num_inserts + 1)
length_scaling_factor = mass_scaling_factor**(1. / dimension)
target_length = get_norm(p1 - p2) * length_scaling_factor
curr_length = get_norm(p1 - p2) * mass_scaling_factor
# offset^2 + curr_length^2 = target_length^2
offset_len = np.sqrt(target_length**2 - curr_length**2)
unit_vect = (p1 - p2) / get_norm(p1 - p2)
offset_unit_vect = rotate_vector(unit_vect, np.pi / 2)
inserted_points = [
point + u * offset_len * offset_unit_vect
for u, point in zip(it.cycle([-1, 1]), inserted_points)
]
new_anchors += [p1] + inserted_points
new_anchors.append(original_anchors[-1])
vmobject.set_points_as_corners(new_anchors)
vmobject.set_submobjects([
fractalification_iteration(submob, dimension,
num_inserted_anchors_range)
for submob in vmobject.submobjects
])
return vmobject
def update_submobject(self, submobject, starting_submobject, alpha):
submobject.pointwise_become_partial(starting_submobject, 0,
min(2 * alpha, 1))
if alpha < 0.5:
if self.stroke_color:
color = self.stroke_color
elif starting_submobject.stroke_width > 0:
color = starting_submobject.get_stroke_color()
else:
color = starting_submobject.get_color()
submobject.set_stroke(color, width=self.stroke_width)
submobject.set_fill(opacity=0)
else:
if not self.reached_halfway_point_before:
self.reached_halfway_point_before = True
submobject.points = np.array(starting_submobject.points)
width, opacity = [
interpolate(start, end, 2 * alpha - 1)
for start, end in [(self.stroke_width,
starting_submobject.get_stroke_width()),
(0, starting_submobject.get_fill_opacity())]
]
submobject.set_stroke(width=width)
submobject.set_fill(opacity=opacity)
def fractalification_iteration(vmobject, dimension=1.05, num_inserted_anchors_range=list(range(1, 4))):
num_points = vmobject.get_num_points()
if num_points > 0:
# original_anchors = vmobject.get_anchors()
original_anchors = [
vmobject.point_from_proportion(x)
for x in np.linspace(0, 1 - 1. / num_points, num_points)
]
new_anchors = []
for p1, p2, in zip(original_anchors, original_anchors[1:]):
num_inserts = random.choice(num_inserted_anchors_range)
inserted_points = [
interpolate(p1, p2, alpha)
for alpha in np.linspace(0, 1, num_inserts + 2)[1:-1]
]
mass_scaling_factor = 1. / (num_inserts + 1)
length_scaling_factor = mass_scaling_factor**(1. / dimension)
target_length = get_norm(p1 - p2) * length_scaling_factor
curr_length = get_norm(p1 - p2) * mass_scaling_factor
# offset^2 + curr_length^2 = target_length^2
offset_len = np.sqrt(target_length**2 - curr_length**2)
unit_vect = (p1 - p2) / get_norm(p1 - p2)
offset_unit_vect = rotate_vector(unit_vect, np.pi / 2)
inserted_points = [
point + u * offset_len * offset_unit_vect
for u, point in zip(it.cycle([-1, 1]), inserted_points)
]
new_anchors += [p1] + inserted_points
new_anchors.append(original_anchors[-1])
vmobject.set_points_as_corners(new_anchors)
vmobject.submobjects = [
fractalification_iteration(
submob, dimension, num_inserted_anchors_range)
for submob in vmobject.submobjects
]
return vmobject
def interpolate_submobject(self, submob: VMobject, start: VMobject,
alpha: float) -> None:
submob.set_stroke(
opacity=interpolate(0, start.get_stroke_opacity(), alpha))
submob.set_fill(
opacity=interpolate(0, start.get_fill_opacity(), alpha))
def interpolate_color(self, mobject1, mobject2, alpha):
# TODO, transition between actual images?
self.opacity = interpolate(
mobject1.opacity, mobject2.opacity, alpha
)
def func(alpha):
return interpolate(start_number, target_number, alpha)
def add_spikes(self):
layers = VGroup()
radii = np.linspace(
self.outer_radius,
self.pupil_radius,
self.n_spike_layers,
endpoint=False,
)
radii[:2] = radii[1::-1] # Swap first two
radii[-1] = interpolate(
radii[-1], self.pupil_radius, 0.25
)
for radius in radii:
tip_angle = self.spike_angle
half_base = radius * np.tan(tip_angle)
triangle, right_half_triangle = [
Polygon(
radius * UP,
half_base * RIGHT,
vertex3,
fill_opacity=1,
stroke_width=0,
)
for vertex3 in (half_base * LEFT, ORIGIN,)
]
left_half_triangle = right_half_triangle.copy()
left_half_triangle.flip(UP, about_point=ORIGIN)
n_spikes = self.n_spikes
full_spikes = [
triangle.copy().rotate(
-angle,
about_point=ORIGIN
)
for angle in np.linspace(
0, TAU, n_spikes, endpoint=False
)
]
index = (3 * n_spikes) // 4
if radius == radii[0]:
layer = VGroup(*full_spikes)
layer.rotate(
-TAU / n_spikes / 2,
about_point=ORIGIN
)
layer.brown_index = index
else:
half_spikes = [
right_half_triangle.copy(),
left_half_triangle.copy().rotate(
90 * DEGREES, about_point=ORIGIN,
),
right_half_triangle.copy().rotate(
90 * DEGREES, about_point=ORIGIN,
),
left_half_triangle.copy()
]
layer = VGroup(*it.chain(
half_spikes[:1],
full_spikes[1:index],
half_spikes[1:3],
full_spikes[index + 1:],
half_spikes[3:],
))
layer.brown_index = index + 1
layers.add(layer)
# Color spikes
blues = self.blue_spike_colors
browns = self.brown_spike_colors
for layer, blue, brown in zip(layers, blues, browns):
index = layer.brown_index
layer[:index].set_color(blue)
layer[index:].set_color(brown)
self.spike_layers = layers
self.add(layers)
def interpolate_color(color1, color2, alpha):
rgb = interpolate(color_to_rgb(color1), color_to_rgb(color2), alpha)
return rgb_to_color(rgb)
def add_spikes(self):
layers = VGroup()
radii = np.linspace(
self.outer_radius,
self.pupil_radius,
self.n_spike_layers,
endpoint=False,
)
radii[:2] = radii[1::-1] # Swap first two
if self.n_spike_layers > 2:
radii[-1] = interpolate(radii[-1], self.pupil_radius, 0.25)
for radius in radii:
tip_angle = self.spike_angle
half_base = radius * np.tan(tip_angle)
triangle, right_half_triangle = [
Polygon(
radius * UP,
half_base * RIGHT,
vertex3,
fill_opacity=1,
stroke_width=0,
) for vertex3 in (
half_base * LEFT,
ORIGIN,
)
]
left_half_triangle = right_half_triangle.copy()
left_half_triangle.flip(UP, about_point=ORIGIN)
n_spikes = self.n_spikes
full_spikes = [
triangle.copy().rotate(-angle, about_point=ORIGIN)
for angle in np.linspace(0, TAU, n_spikes, endpoint=False)
]
index = (3 * n_spikes) // 4
if radius == radii[0]:
layer = VGroup(*full_spikes)
layer.rotate(-TAU / n_spikes / 2, about_point=ORIGIN)
layer.brown_index = index
else:
half_spikes = [
right_half_triangle.copy(),
left_half_triangle.copy().rotate(
90 * DEGREES,
about_point=ORIGIN,
),
right_half_triangle.copy().rotate(
90 * DEGREES,
about_point=ORIGIN,
),
left_half_triangle.copy()
]
layer = VGroup(*it.chain(
half_spikes[:1],
full_spikes[1:index],
half_spikes[1:3],
full_spikes[index + 1:],
half_spikes[3:],
))
layer.brown_index = index + 1
layers.add(layer)
# Color spikes
blues = self.blue_spike_colors
browns = self.brown_spike_colors
for layer, blue, brown in zip(layers, blues, browns):
index = layer.brown_index
layer[:index].set_color(blue)
layer[index:].set_color(brown)
self.spike_layers = layers
self.add(layers)
def interpolate_color(self, mobject1, mobject2, alpha):
assert(mobject1.pixel_array.shape == mobject2.pixel_array.shape)
self.pixel_array = interpolate(
mobject1.pixel_array, mobject2.pixel_array, alpha
).astype(self.pixel_array_dtype)
def interpolate_color(color1: ManimColor, color2: ManimColor,
alpha: float) -> Color:
rgb = interpolate(color_to_rgb(color1), color_to_rgb(color2), alpha)
return rgb_to_color(rgb)
def interpolate_color(self, mobject1, mobject2, alpha):
self.rgbas = interpolate(
mobject1.rgbas, mobject2.rgbas, alpha
)
def do_45_phase_shift(self, _, alpha):
alpha = interpolate(0, 1 / 8, alpha)
x_point, y_point = self.comp_point(alpha)
self.y_vector.put_start_and_end_on(ORIGIN, y_point * UP)
self.xy_vector.put_start_and_end_on(ORIGIN, y_point * UP + 2 * RIGHT)
def update_curve(c, dt):
alpha = interpolate(1, 4, dt)
c_c = FunctionGraph(lambda x: 2 * np.exp(-2 * (x - a * alpha)**2))
c.become(c_c)
def parameterized_function(alpha):
x = interpolate(x_min, x_max, alpha)
y = func(x)
if not np.isfinite(y):
y = self.y_max
return self.coords_to_point(x, y)
def interpolate_color(color1, color2, alpha):
'''
在color1和color2之间插值，返回Color类表示的颜色
'''
rgb = interpolate(color_to_rgb(color1), color_to_rgb(color2), alpha)
return rgb_to_color(rgb)
def update_submobject(self, submobject, starting_submobject, alpha):
submobject.set_stroke(opacity=interpolate(
0, starting_submobject.get_stroke_opacity(), alpha))
submobject.set_fill(opacity=interpolate(
0, starting_submobject.get_fill_opacity(), alpha))
def interpolate_color(self, mobject1, mobject2, alpha):
self.rgbas = interpolate(mobject1.rgbas, mobject2.rgbas, alpha)
def interpolate_color(color1, color2, alpha):
rgb = interpolate(color_to_rgb(color1), color_to_rgb(color2), alpha)
return rgb_to_color(rgb)
def number_to_point(self, number):
alpha = float(number - self.x_min) / (self.x_max - self.x_min)
return interpolate(self.get_start(), self.get_end(), alpha)
def fade_to(self, color, alpha):
self.rgbas = interpolate(self.rgbas, color_to_rgba(color), alpha)
for mob in self.submobjects:
mob.fade_to(color, alpha)
return self
def fade_to(self, color, alpha):
self.rgbas = interpolate(self.rgbas, color_to_rgba(color), alpha)
for mob in self.submobjects:
mob.fade_to(color, alpha)
return self
def interpolate_color(self, mobject1, mobject2, alpha):
assert (mobject1.pixel_array.shape == mobject2.pixel_array.shape)
self.pixel_array = interpolate(mobject1.pixel_array,
mobject2.pixel_array,
alpha).astype(self.pixel_array_dtype)
def number_to_point(self, number):
alpha = float(number - self.x_min) / (self.x_max - self.x_min)
return interpolate(
self.get_start(), self.get_end(), alpha
)
def __init__(self, decimal_mob: DecimalNumber,
target_number: float | complex, **kwargs):
start_number = decimal_mob.number
super().__init__(decimal_mob,
lambda a: interpolate(start_number, target_number, a),
**kwargs)
def random_bright_color():
color = random_color()
curr_rgb = color_to_rgb(color)
new_rgb = interpolate(curr_rgb, np.ones(len(curr_rgb)), 0.5)
return Color(rgb=new_rgb)
def interpolate_submobject(self, submob, start, alpha):
submob.set_stroke(
opacity=interpolate(0, start.get_stroke_opacity(), alpha))
submob.set_fill(
opacity=interpolate(0, start.get_fill_opacity(), alpha))
def get_bounds(self, alpha):
ratio = self.start_ratio
a = interpolate((1 - ratio) / 4, 1 / 2 + ratio / 4, alpha)
b = interpolate((1 - ratio) / 4, 3 / 2 + ratio / 4, alpha)
return (a, b)
def parameterized_function(alpha):
x = interpolate(x_min, x_max, alpha)
y = func(x)
if not np.isfinite(y):
y = self.y_max
return self.coords_to_point(x, y)
def __init__(self, decimal_mob, target_number, **kwargs):
start_number = decimal_mob.number
super().__init__(decimal_mob,
lambda a: interpolate(start_number, target_number, a),
**kwargs)