import numpy as np from manimlib.constants import ORIGIN from manimlib.constants import UP from manimlib.utils.space_ops import get_norm from manimlib.utils.space_ops import get_unit_normal def get_3d_vmob_gradient_start_and_end_points(vmob): return ( get_3d_vmob_start_corner(vmob), get_3d_vmob_end_corner(vmob), ) def get_3d_vmob_start_corner_index(vmob): return 0 def get_3d_vmob_end_corner_index(vmob): return ((len(vmob.points) - 1) // 6) * 3 def get_3d_vmob_start_corner(vmob): if vmob.get_num_points() == 0: return np.array(ORIGIN) return vmob.points[get_3d_vmob_start_corner_index(vmob)] def get_3d_vmob_end_corner(vmob): if vmob.get_num_points() == 0: return np.array(ORIGIN) return vmob.points[get_3d_vmob_end_corner_index(vmob)] def get_3d_vmob_unit_normal(vmob, point_index): 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 get_norm(unit_normal) == 0: return np.array(UP) return unit_normal def get_3d_vmob_start_corner_unit_normal(vmob): return get_3d_vmob_unit_normal( vmob, get_3d_vmob_start_corner_index(vmob) ) def get_3d_vmob_end_corner_unit_normal(vmob): return get_3d_vmob_unit_normal( vmob, get_3d_vmob_end_corner_index(vmob) )