Rasterizer_wheels / utils3d /test /numpy_ /mesh /compute_face_angle.py
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import os
import sys
sys.path.insert(0, os.path.abspath(os.path.join(os.path.dirname(__file__), '..', '..', '..')))
import utils3d
import numpy as np
def run():
for i in range(100):
if i == 0:
spatial = []
vertices = np.array([[0, 0, 0], [1, 0, 0], [0, 1, 0]], dtype=float)
faces = np.array([[0, 1, 2]])
expected = np.array([[np.pi/2, np.pi/4, np.pi/4]])
else:
dim = np.random.randint(4)
spatial = [np.random.randint(1, 10) for _ in range(dim)]
N = np.random.randint(100, 1000)
vertices = np.random.rand(*spatial, N, 3)
L = np.random.randint(1, 1000)
faces = np.random.randint(0, N, size=(*spatial, L, 3))
faces[..., 1] = (faces[..., 0] + 1) % N
faces[..., 2] = (faces[..., 0] + 2) % N
faces_ = faces.reshape(-1, L, 3)
vertices_ = vertices.reshape(-1, N, 3)
N = vertices_.shape[0]
expected = np.zeros((N, L, 3), dtype=float)
for i in range(3):
edge0 = vertices_[np.arange(N)[:, None], faces_[..., (i+1)%3]] - vertices_[np.arange(N)[:, None], faces_[..., i]]
edge1 = vertices_[np.arange(N)[:, None], faces_[..., (i+2)%3]] - vertices_[np.arange(N)[:, None], faces_[..., i]]
expected[..., i] = np.arccos(np.sum(
edge0 / np.linalg.norm(edge0, axis=-1, keepdims=True) * \
edge1 / np.linalg.norm(edge1, axis=-1, keepdims=True),
axis=-1
))
expected = expected.reshape(*spatial, L, 3)
actual = utils3d.numpy.compute_face_angle(vertices, faces)
assert np.allclose(expected, actual), '\n' + \
'Input:\n' + \
f'{faces}\n' + \
'Actual:\n' + \
f'{actual}\n' + \
'Expected:\n' + \
f'{expected}'