3b1b-manim/animation/simple_animations.py
Grant Sanderson e632be304d Removed sync_animation_run_times_and_rate_funcs, and changed
the implementaiton of Scene.play and AnimationGroup so as to
not change the run_time and rate_func of the animations passed
in.
2018-02-19 16:51:47 -08:00

517 lines
18 KiB
Python

import numpy as np
import itertools as it
from helpers import *
from mobject import Mobject, Group
from mobject.vectorized_mobject import VMobject
from mobject.tex_mobject import TextMobject
from animation import Animation
from transform import Transform
class Rotating(Animation):
CONFIG = {
"axis" : OUT,
"radians" : 2*np.pi,
"run_time" : 5,
"rate_func" : None,
"in_place" : True,
"about_point" : None,
"about_edge" : None,
}
def update_submobject(self, submobject, starting_submobject, alpha):
submobject.points = np.array(starting_submobject.points)
def update_mobject(self, alpha):
Animation.update_mobject(self, alpha)
about_point = None
if self.about_point is not None:
about_point = self.about_point
elif self.in_place: #This is superseeded
self.about_point = self.mobject.get_center()
self.mobject.rotate(
alpha*self.radians,
axis = self.axis,
about_point = self.about_point,
about_edge = self.about_edge,
)
class ShowPartial(Animation):
def update_submobject(self, submobject, starting_submobject, alpha):
submobject.pointwise_become_partial(
starting_submobject, *self.get_bounds(alpha)
)
def get_bounds(self, alpha):
raise Exception("Not Implemented")
class ShowCreation(ShowPartial):
CONFIG = {
"submobject_mode" : "one_at_a_time",
}
def get_bounds(self, alpha):
return (0, alpha)
class Uncreate(ShowCreation):
CONFIG = {
"rate_func" : lambda t : smooth(1-t),
"remover" : True
}
class Write(ShowCreation):
CONFIG = {
"rate_func" : None,
"submobject_mode" : "lagged_start",
}
def __init__(self, mob_or_text, **kwargs):
digest_config(self, kwargs)
if isinstance(mob_or_text, str):
mobject = TextMobject(mob_or_text)
else:
mobject = mob_or_text
if "run_time" not in kwargs:
self.establish_run_time(mobject)
if "lag_factor" not in kwargs:
if len(mobject.family_members_with_points()) < 4:
min_lag_factor = 1
else:
min_lag_factor = 2
self.lag_factor = max(self.run_time - 1, min_lag_factor)
ShowCreation.__init__(self, mobject, **kwargs)
def establish_run_time(self, mobject):
num_subs = len(mobject.family_members_with_points())
if num_subs < 15:
self.run_time = 1
else:
self.run_time = 2
class DrawBorderThenFill(Animation):
CONFIG = {
"run_time" : 2,
"stroke_width" : 2,
"stroke_color" : None,
"rate_func" : double_smooth,
}
def __init__(self, vmobject, **kwargs):
if not isinstance(vmobject, VMobject):
raise Exception("DrawBorderThenFill only works for VMobjects")
self.reached_halfway_point_before = False
Animation.__init__(self, vmobject, **kwargs)
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)
class ShowPassingFlash(ShowPartial):
CONFIG = {
"time_width" : 0.1,
"remover" : True,
}
def get_bounds(self, alpha):
alpha *= (1+self.time_width)
alpha -= self.time_width/2.0
lower = max(0, alpha - self.time_width/2.0)
upper = min(1, alpha + self.time_width/2.0)
return (lower, upper)
def clean_up(self, *args, **kwargs):
ShowPartial.clean_up(self, *args, **kwargs)
for submob, start_submob in self.get_all_families_zipped():
submob.pointwise_become_partial(start_submob, 0, 1)
class ShowCreationThenDestruction(ShowPassingFlash):
CONFIG = {
"time_width" : 2.0,
"run_time" : 1,
}
class Homotopy(Animation):
CONFIG = {
"run_time" : 3,
"apply_function_kwargs" : {},
}
def __init__(self, homotopy, mobject, **kwargs):
"""
Homotopy a function from (x, y, z, t) to (x', y', z')
"""
def function_at_time_t(t):
return lambda p : homotopy(p[0], p[1], p[2], t)
self.function_at_time_t = function_at_time_t
digest_config(self, kwargs)
Animation.__init__(self, mobject, **kwargs)
def update_submobject(self, submob, start, alpha):
submob.points = start.points
submob.apply_function(
self.function_at_time_t(alpha),
**self.apply_function_kwargs
)
class SmoothedVectorizedHomotopy(Homotopy):
def update_submobject(self, submob, start, alpha):
Homotopy.update_submobject(self, submob, start, alpha)
submob.make_smooth()
class ApplyWave(Homotopy):
CONFIG = {
"direction" : DOWN,
"amplitude" : 0.2,
"run_time" : 1,
"apply_function_kwargs" : {
"maintain_smoothness" : False,
},
}
def __init__(self, mobject, **kwargs):
digest_config(self, kwargs, locals())
left_x = mobject.get_left()[0]
right_x = mobject.get_right()[0]
vect = self.amplitude*self.direction
def homotopy(x, y, z, t):
start_point = np.array([x, y, z])
alpha = (x-left_x)/(right_x-left_x)
power = np.exp(2*(alpha-0.5))
nudge = there_and_back(t**power)
return np.array([x, y, z]) + nudge*vect
Homotopy.__init__(self, homotopy, mobject, **kwargs)
class PhaseFlow(Animation):
CONFIG = {
"virtual_time" : 1,
"rate_func" : None,
}
def __init__(self, function, mobject, **kwargs):
digest_config(self, kwargs, locals())
Animation.__init__(self, mobject, **kwargs)
def update_mobject(self, alpha):
if hasattr(self, "last_alpha"):
dt = self.virtual_time*(alpha-self.last_alpha)
self.mobject.apply_function(
lambda p : p + dt*self.function(p)
)
self.last_alpha = alpha
class MoveAlongPath(Animation):
def __init__(self, mobject, path, **kwargs):
digest_config(self, kwargs, locals())
Animation.__init__(self, mobject, **kwargs)
def update_mobject(self, alpha):
point = self.path.point_from_proportion(alpha)
self.mobject.move_to(point)
class UpdateFromFunc(Animation):
"""
update_function of the form func(mobject), presumably
to be used when the state of one mobject is dependent
on another simultaneously animated mobject
"""
def __init__(self, mobject, update_function, **kwargs):
digest_config(self, kwargs, locals())
Animation.__init__(self, mobject, **kwargs)
def update_mobject(self, alpha):
self.update_function(self.mobject)
class UpdateFromAlphaFunc(UpdateFromFunc):
def update_mobject(self, alpha):
self.update_function(self.mobject, alpha)
class MaintainPositionRelativeTo(Animation):
CONFIG = {
"tracked_critical_point" : ORIGIN
}
def __init__(self, mobject, tracked_mobject, **kwargs):
digest_config(self, kwargs, locals())
tcp = self.tracked_critical_point
self.diff = mobject.get_critical_point(tcp) - \
tracked_mobject.get_critical_point(tcp)
Animation.__init__(self, mobject, **kwargs)
def update_mobject(self, alpha):
self.mobject.shift(
self.tracked_mobject.get_critical_point(self.tracked_critical_point) - \
self.mobject.get_critical_point(self.tracked_critical_point) + \
self.diff
)
class WiggleOutThenIn(Animation):
CONFIG = {
"scale_value" : 1.1,
"rotation_angle" : 0.01*TAU,
"n_wiggles" : 6,
"run_time" : 2,
"scale_about_point" : None,
"rotate_about_point" : None,
}
def __init__(self, mobject, **kwargs):
digest_config(self, kwargs)
if self.scale_about_point is None:
self.scale_about_point = mobject.get_center()
if self.rotate_about_point is None:
self.rotate_about_point = mobject.get_center()
Animation.__init__(self, mobject, **kwargs)
def update_submobject(self, submobject, starting_sumobject, alpha):
submobject.points[:,:] = starting_sumobject.points
submobject.scale(
interpolate(1, self.scale_value, there_and_back(alpha)),
about_point = self.scale_about_point
)
submobject.rotate(
wiggle(alpha, self.n_wiggles)*self.rotation_angle,
about_point = self.rotate_about_point
)
### Animation modifiers ###
class ApplyToCenters(Animation):
def __init__(self, AnimationClass, mobjects, **kwargs):
full_kwargs = AnimationClass.CONFIG
full_kwargs.update(kwargs)
full_kwargs["mobject"] = Mobject(*[
mob.get_point_mobject()
for mob in mobjects
])
self.centers_container = AnimationClass(**full_kwargs)
full_kwargs.pop("mobject")
Animation.__init__(self, Mobject(*mobjects), **full_kwargs)
self.name = str(self) + AnimationClass.__name__
def update_mobject(self, alpha):
self.centers_container.update_mobject(alpha)
center_mobs = self.centers_container.mobject.split()
mobjects = self.mobject.split()
for center_mob, mobject in zip(center_mobs, mobjects):
mobject.shift(
center_mob.get_center()-mobject.get_center()
)
class LaggedStart(Animation):
CONFIG = {
"run_time" : 2,
"lag_ratio" : 0.5,
}
def __init__(self, AnimationClass, mobject, arg_creator = None, **kwargs):
digest_config(self, kwargs)
for key in "rate_func", "run_time", "lag_ratio":
if key in kwargs:
kwargs.pop(key)
if arg_creator is None:
arg_creator = lambda mobject : (mobject,)
self.subanimations = [
AnimationClass(
*arg_creator(submob),
run_time = self.run_time,
rate_func = squish_rate_func(
self.rate_func, beta, beta + self.lag_ratio
),
**kwargs
)
for submob, beta in zip(
mobject,
np.linspace(0, 1-self.lag_ratio, len(mobject))
)
]
Animation.__init__(self, mobject, **kwargs)
def update(self, alpha):
for anim in self.subanimations:
anim.update(alpha)
return self
def clean_up(self, *args, **kwargs):
for anim in self.subanimations:
anim.clean_up(*args, **kwargs)
class Succession(Animation):
CONFIG = {
"rate_func" : None,
}
def __init__(self, *args, **kwargs):
"""
Each arg will either be an animation, or an animation class
followed by its arguments (and potentially a dict for
configuration).
For example,
Succession(
ShowCreation(circle),
Transform, circle, square,
Transform, circle, triangle,
ApplyMethod, circle.shift, 2*UP, {"run_time" : 2},
)
"""
animations = []
state = {
"animations" : animations,
"curr_class" : None,
"curr_class_args" : [],
"curr_class_config" : {},
}
def invoke_curr_class(state):
if state["curr_class"] is None:
return
anim = state["curr_class"](
*state["curr_class_args"],
**state["curr_class_config"]
)
state["animations"].append(anim)
anim.update(1)
state["curr_class"] = None
state["curr_class_args"] = []
state["curr_class_config"] = {}
for arg in args:
if isinstance(arg, Animation):
animations.append(arg)
arg.update(1)
invoke_curr_class(state)
elif isinstance(arg, type) and issubclass(arg, Animation):
invoke_curr_class(state)
state["curr_class"] = arg
elif isinstance(arg, dict):
state["curr_class_config"] = arg
else:
state["curr_class_args"].append(arg)
invoke_curr_class(state)
for anim in animations:
anim.update(0)
animations = filter (lambda x : not(x.empty), animations)
self.run_times = [anim.run_time for anim in animations]
if "run_time" in kwargs:
run_time = kwargs.pop("run_time")
else:
run_time = sum(self.run_times)
self.num_anims = len(animations)
if self.num_anims == 0:
self.empty = True
self.animations = animations
#Have to keep track of this run_time, because Scene.play
#might very well mess with it.
self.original_run_time = run_time
# critical_alphas[i] is the start alpha of self.animations[i]
# critical_alphas[i + 1] is the end alpha of self.animations[i]
critical_times = np.concatenate(([0], np.cumsum(self.run_times)))
self.critical_alphas = map (lambda x : np.true_divide(x, run_time), critical_times) if self.num_anims > 0 else [0.0]
# self.scene_mobjects_at_time[i] is the scene's mobjects at start of self.animations[i]
# self.scene_mobjects_at_time[i + 1] is the scene mobjects at end of self.animations[i]
self.scene_mobjects_at_time = [None for i in range(self.num_anims + 1)]
self.scene_mobjects_at_time[0] = Group()
for i in range(self.num_anims):
self.scene_mobjects_at_time[i + 1] = self.scene_mobjects_at_time[i].copy()
self.animations[i].clean_up(self.scene_mobjects_at_time[i + 1])
self.current_alpha = 0
self.current_anim_index = 0 # If self.num_anims == 0, this is an invalid index, but so it goes
if self.num_anims > 0:
self.mobject = self.scene_mobjects_at_time[0]
self.mobject.add(self.animations[0].mobject)
else:
self.mobject = Group()
Animation.__init__(self, self.mobject, run_time = run_time, **kwargs)
# Beware: This does NOT take care of calling update(0) on the subanimation.
# This was important to avoid a pernicious possibility in which subanimations were called
# with update(0) twice, which could in turn call a sub-Succession with update(0) four times,
# continuing exponentially.
def jump_to_start_of_anim(self, index):
if index != self.current_anim_index:
self.mobject.remove(*self.mobject.submobjects) # Should probably have a cleaner "remove_all" method...
for m in self.scene_mobjects_at_time[index].submobjects:
self.mobject.add(m)
self.mobject.add(self.animations[index].mobject)
self.current_anim_index = index
self.current_alpha = self.critical_alphas[index]
def update_mobject(self, alpha):
if self.num_anims == 0:
return
i = 0
while self.critical_alphas[i + 1] < alpha:
i = i + 1
# TODO: Special handling if alpha < 0 or alpha > 1, to use
# first or last sub-animation
# At this point, we should have self.critical_alphas[i] <= alpha <= self.critical_alphas[i +1]
self.jump_to_start_of_anim(i)
sub_alpha = inverse_interpolate(
self.critical_alphas[i],
self.critical_alphas[i + 1],
alpha
)
self.animations[i].update(sub_alpha)
def clean_up(self, *args, **kwargs):
# We clean up as though we've played ALL animations, even if
# clean_up is called in middle of things
for anim in self.animations:
anim.clean_up(*args, **kwargs)
class AnimationGroup(Animation):
CONFIG = {
"rate_func" : None
}
def __init__(self, *sub_anims, **kwargs):
digest_config(self, kwargs, locals())
sub_anims = filter (lambda x : not(x.empty), sub_anims)
if len(sub_anims) == 0:
self.empty = True
self.run_time = 0
else:
for anim in sub_anims:
# If AnimationGroup is called with any configuration,
# it is propagated to the sub_animations
anim.update_config(**kwargs)
self.run_time = max([a.run_time for a in sub_anims])
everything = Mobject(*[a.mobject for a in sub_anims])
Animation.__init__(self, everything, **kwargs)
def update(self, alpha):
for anim in self.sub_anims:
anim.update(alpha * self.run_time / anim.run_time)
def clean_up(self, *args, **kwargs):
for anim in self.sub_anims:
anim.clean_up(*args, **kwargs)
class EmptyAnimation(Animation):
CONFIG = {
"run_time" : 0,
"empty" : True
}
def __init__(self, *args, **kwargs):
return Animation.__init__(self, Group(), *args, **kwargs)