Source code for manim.mobject.three_d.three_d_utils

"""Utility functions for three-dimensional mobjects."""

from __future__ import annotations

__all__ = [
    "get_3d_vmob_gradient_start_and_end_points",
    "get_3d_vmob_start_corner_index",
    "get_3d_vmob_end_corner_index",
    "get_3d_vmob_start_corner",
    "get_3d_vmob_end_corner",
    "get_3d_vmob_unit_normal",
    "get_3d_vmob_start_corner_unit_normal",
    "get_3d_vmob_end_corner_unit_normal",
]


from typing import TYPE_CHECKING, Literal

import numpy as np

from manim.constants import ORIGIN, UP
from manim.utils.space_ops import get_unit_normal

if TYPE_CHECKING:
    from manim.typing import Point3D, Vector3D



[docs]
def get_3d_vmob_gradient_start_and_end_points(vmob) -> tuple[Point3D, Point3D]:
    return (
        get_3d_vmob_start_corner(vmob),
        get_3d_vmob_end_corner(vmob),
    )




[docs]
def get_3d_vmob_start_corner_index(vmob) -> Literal[0]:
    return 0




[docs]
def get_3d_vmob_end_corner_index(vmob) -> int:
    return ((len(vmob.points) - 1) // 6) * 3




[docs]
def get_3d_vmob_start_corner(vmob) -> Point3D:
    if vmob.get_num_points() == 0:
        return np.array(ORIGIN)
    return vmob.points[get_3d_vmob_start_corner_index(vmob)]




[docs]
def get_3d_vmob_end_corner(vmob) -> Point3D:
    if vmob.get_num_points() == 0:
        return np.array(ORIGIN)
    return vmob.points[get_3d_vmob_end_corner_index(vmob)]




[docs]
def get_3d_vmob_unit_normal(vmob, point_index: int) -> Vector3D:
    n_points = vmob.get_num_points()
    if len(vmob.get_anchors()) <= 2:
        return np.array(UP)
    i = point_index
    im3 = i - 3 if i > 2 else (n_points - 4)
    ip3 = i + 3 if i < (n_points - 3) else 3
    unit_normal = get_unit_normal(
        vmob.points[ip3] - vmob.points[i],
        vmob.points[im3] - vmob.points[i],
    )
    if np.linalg.norm(unit_normal) == 0:
        return np.array(UP)
    return unit_normal




[docs]
def get_3d_vmob_start_corner_unit_normal(vmob) -> Vector3D:
    return get_3d_vmob_unit_normal(vmob, get_3d_vmob_start_corner_index(vmob))




[docs]
def get_3d_vmob_end_corner_unit_normal(vmob) -> Vector3D:
    return get_3d_vmob_unit_normal(vmob, get_3d_vmob_end_corner_index(vmob))