mirror of
https://github.com/3b1b/manim.git
synced 2025-04-13 09:47:07 +00:00
113 lines
2.8 KiB
Python
113 lines
2.8 KiB
Python
from __future__ import annotations
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from typing import Callable, Sequence
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from manimlib.animation.animation import Animation
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from manimlib.utils.rate_functions import linear
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from typing import TYPE_CHECKING
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if TYPE_CHECKING:
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import numpy as np
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from manimlib.mobject.mobject import Mobject
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class Homotopy(Animation):
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CONFIG = {
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"run_time": 3,
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"apply_function_kwargs": {},
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}
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def __init__(
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self,
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homotopy: Callable[[float, float, float, float], Sequence[float]],
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mobject: Mobject,
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**kwargs
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):
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"""
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Homotopy is a function from
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(x, y, z, t) to (x', y', z')
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"""
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self.homotopy = homotopy
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super().__init__(mobject, **kwargs)
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def function_at_time_t(
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self,
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t: float
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) -> Callable[[np.ndarray], Sequence[float]]:
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return lambda p: self.homotopy(*p, t)
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def interpolate_submobject(
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self,
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submob: Mobject,
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start: Mobject,
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alpha: float
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) -> None:
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submob.match_points(start)
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submob.apply_function(
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self.function_at_time_t(alpha),
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**self.apply_function_kwargs
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)
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class SmoothedVectorizedHomotopy(Homotopy):
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CONFIG = {
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"apply_function_kwargs": {"make_smooth": True},
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}
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class ComplexHomotopy(Homotopy):
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def __init__(
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self,
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complex_homotopy: Callable[[complex, float], Sequence[float]],
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mobject: Mobject,
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**kwargs
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):
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"""
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Given a function form (z, t) -> w, where z and w
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are complex numbers and t is time, this animates
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the state over time
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"""
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def homotopy(x, y, z, t):
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c = complex_homotopy(complex(x, y), t)
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return (c.real, c.imag, z)
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super().__init__(homotopy, mobject, **kwargs)
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class PhaseFlow(Animation):
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CONFIG = {
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"virtual_time": 1,
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"rate_func": linear,
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"suspend_mobject_updating": False,
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}
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def __init__(
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self,
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function: Callable[[np.ndarray], np.ndarray],
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mobject: Mobject,
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**kwargs
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):
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self.function = function
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super().__init__(mobject, **kwargs)
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def interpolate_mobject(self, alpha: float) -> None:
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if hasattr(self, "last_alpha"):
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dt = self.virtual_time * (alpha - self.last_alpha)
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self.mobject.apply_function(
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lambda p: p + dt * self.function(p)
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)
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self.last_alpha = alpha
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class MoveAlongPath(Animation):
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CONFIG = {
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"suspend_mobject_updating": False,
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}
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def __init__(self, mobject: Mobject, path: Mobject, **kwargs):
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self.path = path
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super().__init__(mobject, **kwargs)
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def interpolate_mobject(self, alpha: float) -> None:
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point = self.path.point_from_proportion(alpha)
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self.mobject.move_to(point)
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