Merge pull request #1957 from 3b1b/video-work

Refactor TransformMatchingStrings/TransformMatchingShapes
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Grant Sanderson 2023-01-02 09:38:08 -08:00 committed by GitHub
commit bf5d587204
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5 changed files with 136 additions and 182 deletions

View file

@ -184,7 +184,7 @@ class TexTransformExample(Scene):
# line up. If it's not specified, the animation
# will try its best, but may not quite give the
# intended effect
matched_keys=["A^2", "B^2", "C^2", "="],
matched_keys=["A^2", "B^2", "C^2"],
# When you want a substring from the source
# to go to a non-equal substring from the target,
# use the key map.
@ -193,12 +193,14 @@ class TexTransformExample(Scene):
),
)
self.wait()
self.play(TransformMatchingStrings(lines[1].copy(), lines[2]))
self.play(TransformMatchingStrings(
lines[1].copy(), lines[2],
matched_keys=["A^2"]
))
self.wait()
self.play(
TransformMatchingStrings(
lines[2].copy(), lines[3],
matched_keys=["="],
key_map={"2": R"\sqrt"},
path_arc=-30 * DEGREES,
),
@ -217,6 +219,30 @@ class TexTransformExample(Scene):
self.wait()
self.play(LaggedStartMap(FadeOut, lines, shift=2 * RIGHT))
# Indexing by substrings like this may not work when
# the order in which Latex draws symbols does not match
# the order in which they show up in the string.
# For example, here the infinity is drawn before the sigma
# so we don't get the desired behavior.
equation = Tex(R"\sum_{n = 1}^\infty \frac{1}{n^2} = \frac{\pi^2}{6}")
self.play(FadeIn(equation))
self.play(equation[R"\infty"].animate.set_color(RED)) # Doesn't hit the infinity
self.wait()
self.play(FadeOut(equation))
# However you can always fix this by explicitly passing in
# a string you might want to isolate later. Also, using
# \over instead of \frac helps to avoid the issue for fractions
equation = Tex(
R"\sum_{n = 1}^\infty {1 \over n^2} = {\pi^2 \over 6}",
# Explicitly mark "\infty" as a substring you might want to access
isolate=[R"\infty"]
)
self.play(FadeIn(equation))
self.play(equation[R"\infty"].animate.set_color(RED)) # Got it!
self.wait()
self.play(FadeOut(equation))
# TransformMatchingShapes will try to line up all pieces of a
# source mobject with those of a target, regardless of the
# what Mobject type they are.

View file

@ -6,6 +6,8 @@ from manimlib.animation.animation import Animation
from manimlib.animation.transform import Transform
from manimlib.constants import ORIGIN
from manimlib.mobject.mobject import Group
from manimlib.mobject.types.vectorized_mobject import VMobject
from manimlib.mobject.types.vectorized_mobject import VGroup
from manimlib.utils.bezier import interpolate
from manimlib.utils.rate_functions import there_and_back
@ -14,8 +16,8 @@ from typing import TYPE_CHECKING
if TYPE_CHECKING:
from typing import Callable
from manimlib.mobject.mobject import Mobject
from manimlib.mobject.types.vectorized_mobject import VMobject
from manimlib.scene.scene import Scene
from manimlib.typing import Vect3
@ -48,7 +50,7 @@ class FadeOut(Fade):
def __init__(
self,
mobject: Mobject,
shift: np.ndarray = ORIGIN,
shift: Vect3 = ORIGIN,
remover: bool = True,
final_alpha_value: float = 0.0, # Put it back in original state when done,
**kwargs
@ -69,7 +71,7 @@ class FadeOut(Fade):
class FadeInFromPoint(FadeIn):
def __init__(self, mobject: Mobject, point: np.ndarray[int, np.dtype[np.float64]], **kwargs):
def __init__(self, mobject: Mobject, point: Vect3, **kwargs):
super().__init__(
mobject,
shift=mobject.get_center() - point,
@ -79,7 +81,7 @@ class FadeInFromPoint(FadeIn):
class FadeOutToPoint(FadeOut):
def __init__(self, mobject: Mobject, point: np.ndarray[int, np.dtype[np.float64]], **kwargs):
def __init__(self, mobject: Mobject, point: Vect3, **kwargs):
super().__init__(
mobject,
shift=point - mobject.get_center(),
@ -101,8 +103,12 @@ class FadeTransform(Transform):
self.stretch = stretch
self.dim_to_match = dim_to_match
group_type = Group
if isinstance(mobject, VMobject) and isinstance(target_mobject, VMobject):
group_type = VGroup
mobject.save_state()
super().__init__(Group(mobject, target_mobject.copy()), **kwargs)
super().__init__(group_type(mobject, target_mobject.copy()), **kwargs)
def begin(self) -> None:
self.ending_mobject = self.mobject.copy()

View file

@ -18,218 +18,93 @@ from manimlib.mobject.types.vectorized_mobject import VMobject
from typing import TYPE_CHECKING
if TYPE_CHECKING:
from typing import Iterable
from manimlib.scene.scene import Scene
class TransformMatchingParts(AnimationGroup):
mobject_type: type = Mobject
group_type: type = Group
def __init__(
self,
mobject: Mobject,
target_mobject: Mobject,
transform_mismatches: bool = False,
fade_transform_mismatches: bool = False,
key_map: dict | None = None,
**kwargs
):
assert(isinstance(mobject, self.mobject_type))
assert(isinstance(target_mobject, self.mobject_type))
source_map = self.get_shape_map(mobject)
target_map = self.get_shape_map(target_mobject)
key_map = key_map or dict()
# Create two mobjects whose submobjects all match each other
# according to whatever keys are used for source_map and
# target_map
transform_source = self.group_type()
transform_target = self.group_type()
kwargs["final_alpha_value"] = 0
for key in set(source_map).intersection(target_map):
transform_source.add(source_map[key])
transform_target.add(target_map[key])
anims = [Transform(transform_source, transform_target, **kwargs)]
# User can manually specify when one part should transform
# into another despite not matching by using key_map
key_mapped_source = self.group_type()
key_mapped_target = self.group_type()
for key1, key2 in key_map.items():
if key1 in source_map and key2 in target_map:
key_mapped_source.add(source_map[key1])
key_mapped_target.add(target_map[key2])
source_map.pop(key1, None)
target_map.pop(key2, None)
if len(key_mapped_source) > 0:
anims.append(FadeTransformPieces(
key_mapped_source,
key_mapped_target,
))
fade_source = self.group_type()
fade_target = self.group_type()
for key in set(source_map).difference(target_map):
fade_source.add(source_map[key])
for key in set(target_map).difference(source_map):
fade_target.add(target_map[key])
if transform_mismatches:
anims.append(Transform(fade_source.copy(), fade_target, **kwargs))
if fade_transform_mismatches:
anims.append(FadeTransformPieces(fade_source, fade_target, **kwargs))
else:
anims.append(FadeOutToPoint(
fade_source, target_mobject.get_center(), **kwargs
))
anims.append(FadeInFromPoint(
fade_target.copy(), mobject.get_center(), **kwargs
))
super().__init__(*anims)
self.to_remove = mobject
self.to_add = target_mobject
def get_shape_map(self, mobject: Mobject) -> dict[int | str, VGroup]:
shape_map: dict[int | str, VGroup] = {}
for sm in self.get_mobject_parts(mobject):
key = self.get_mobject_key(sm)
if key not in shape_map:
shape_map[key] = VGroup()
shape_map[key].add(sm)
return shape_map
def clean_up_from_scene(self, scene: Scene) -> None:
for anim in self.animations:
anim.update(0)
scene.remove(self.mobject)
scene.remove(self.to_remove)
scene.add(self.to_add)
@staticmethod
def get_mobject_parts(mobject: Mobject) -> Mobject:
# To be implemented in subclass
return mobject
@staticmethod
def get_mobject_key(mobject: Mobject) -> int:
# To be implemented in subclass
return hash(mobject)
class TransformMatchingShapes(TransformMatchingParts):
mobject_type: type = VMobject
group_type: type = VGroup
@staticmethod
def get_mobject_parts(mobject: VMobject) -> list[VMobject]:
return mobject.family_members_with_points()
@staticmethod
def get_mobject_key(mobject: VMobject) -> int:
mobject.save_state()
mobject.center()
mobject.set_height(1)
result = hash(np.round(mobject.get_points(), 3).tobytes())
mobject.restore()
return result
class TransformMatchingStrings(AnimationGroup):
def __init__(
self,
source: StringMobject,
target: StringMobject,
matched_keys: list[str] | None = None,
key_map: dict[str, str] | None = None,
source: Mobject,
target: Mobject,
matched_pairs: Iterable[tuple[Mobject, Mobject]] = [],
match_animation: type = Transform,
mismatch_animation: type = Transform,
run_time=2,
lag_ratio=0,
run_time: float = 2,
lag_ratio: float = 0,
group_type: type = Group,
**kwargs,
):
self.source = source
self.target = target
matched_keys = matched_keys or list()
key_map = key_map or dict()
self.match_animation = match_animation
self.mismatch_animation = mismatch_animation
self.anim_config = dict(**kwargs)
# We will progressively build up a list of transforms
# from characters in source to those in target. These
# two lists keep track of which characters are accounted
# for so far
self.source_chars = source.family_members_with_points()
self.target_chars = target.family_members_with_points()
self.source_pieces = source.family_members_with_points()
self.target_pieces = target.family_members_with_points()
self.anims = []
# Start by pairing all matched keys specifically passed in
for key in matched_keys:
self.add_transform(
source.select_parts(key),
target.select_parts(key),
match_animation
)
# Then pair those based on the key map
for key, value in key_map.items():
self.add_transform(
source.select_parts(key),
target.select_parts(value),
mismatch_animation
)
# Now pair by substrings which were isolated in StringMobject
# initializations
specified_substrings = [
*source.get_specified_substrings(),
*target.get_specified_substrings()
]
for key in specified_substrings:
self.add_transform(
source.select_parts(key),
target.select_parts(key),
match_animation
)
for pair in matched_pairs:
self.add_transform(*pair)
# Match any pairs with the same shape
pairs = self.find_pairs_with_matching_shapes(self.source_chars, self.target_chars)
for source_char, target_char in pairs:
self.add_transform(source_char, target_char, match_animation)
for pair in self.find_pairs_with_matching_shapes(self.source_pieces, self.target_pieces):
self.add_transform(*pair)
# Finally, account for mismatches
for source_char in self.source_chars:
for source_char in self.source_pieces:
self.anims.append(FadeOutToPoint(
source_char, target.get_center(),
**self.anim_config
))
for target_char in self.target_chars:
for target_char in self.target_pieces:
self.anims.append(FadeInFromPoint(
target_char, source.get_center(),
**self.anim_config
))
super().__init__(
*self.anims,
run_time=run_time,
lag_ratio=lag_ratio,
group_type=VGroup,
group_type=group_type,
)
def add_transform(
self,
source: VMobject,
target: VMobject,
transform_type: type = Transform,
source: Mobject,
target: Mobject,
):
new_source_chars = source.family_members_with_points()
new_target_chars = target.family_members_with_points()
source_is_new = all(char in self.source_chars for char in new_source_chars)
target_is_new = all(char in self.target_chars for char in new_target_chars)
if source_is_new and target_is_new:
self.anims.append(transform_type(
source, target, **self.anim_config
))
for char in new_source_chars:
self.source_chars.remove(char)
for char in new_target_chars:
self.target_chars.remove(char)
new_source_pieces = source.family_members_with_points()
new_target_pieces = target.family_members_with_points()
if len(new_source_pieces) == 0 or len(new_target_pieces) == 0:
# Don't animate null sorces or null targets
return
source_is_new = all(char in self.source_pieces for char in new_source_pieces)
target_is_new = all(char in self.target_pieces for char in new_target_pieces)
if not source_is_new or not target_is_new:
return
def find_pairs_with_matching_shapes(self, chars1, chars2) -> list[tuple[VMobject, VMobject]]:
transform_type = self.mismatch_animation
if source.has_same_shape_as(target):
transform_type = self.match_animation
self.anims.append(transform_type(source, target, **self.anim_config))
for char in new_source_pieces:
self.source_pieces.remove(char)
for char in new_target_pieces:
self.target_pieces.remove(char)
def find_pairs_with_matching_shapes(
self,
chars1: list[Mobject],
chars2: list[Mobject]
) -> list[tuple[Mobject, Mobject]]:
result = []
for char1, char2 in it.product(chars1, chars2):
if char1.has_same_shape_as(char2):
@ -242,6 +117,41 @@ class TransformMatchingStrings(AnimationGroup):
scene.add(self.target)
class TransformMatchingShapes(TransformMatchingParts):
"""Alias for TransformMatchingParts"""
pass
class TransformMatchingStrings(TransformMatchingParts):
def __init__(
self,
source: StringMobject,
target: StringMobject,
matched_keys: Iterable[str] = [],
key_map: dict[str, str] = dict(),
**kwargs,
):
matched_pairs = [
*[(source[key], target[key]) for key in matched_keys],
*[(source[key1], target[key2]) for key1, key2 in key_map.items()],
*[
(source[substr], target[substr])
for substr in [
*source.get_specified_substrings(),
*target.get_specified_substrings(),
*source.get_symbol_substrings(),
*target.get_symbol_substrings(),
]
]
]
super().__init__(
source, target,
matched_pairs=matched_pairs,
group_type=VGroup,
**kwargs,
)
class TransformMatchingTex(TransformMatchingStrings):
"""Alias for TransformMatchingStrings"""
pass

View file

@ -561,7 +561,10 @@ class StringMobject(SVGMobject, ABC):
return self.select_parts(selector)[index]
def substr_to_path_count(self, substr: str) -> int:
return len(re.sub(R"\s", "", substr))
return len(re.sub(r"\s", "", substr))
def get_symbol_substrings(self):
return list(re.sub(r"\s", "", self.string))
def select_unisolated_substring(self, pattern: str | re.Pattern) -> VGroup:
if isinstance(pattern, str):

View file

@ -42,7 +42,7 @@ class Tex(StringMobject):
isolate = [isolate]
isolate = [*isolate, *tex_strings]
tex_string = " ".join(tex_strings)
tex_string = (" ".join(tex_strings)).strip()
# Prevent from passing an empty string.
if not tex_string.strip():
@ -222,6 +222,15 @@ class Tex(StringMobject):
log.warning(f"Estimated size of {tex} does not match true size")
return num_tex_symbols(substr)
def get_symbol_substrings(self):
pattern = "|".join((
# Tex commands
r"\\[a-zA-Z]+",
# And most single characters, with these exceptions
r"[^\^\{\}\s\_\$\\\&]",
))
return re.findall(pattern, self.string)
def make_number_changable(
self,
value: float | int | str,