mirror of
https://github.com/facebookresearch/pytorch3d.git
synced 2026-07-28 03:26:09 +08:00
Summary: `_cot_laplacian_python` used in-place tensor operations (`clamp_`, `/=`, `+=`) on intermediates that participate in autograd. Once the resulting sparse Laplacian is used in a backward pass, these in-place mutations raise a runtime error: ``` RuntimeError: one of the variables needed for gradient computation has been modified by an inplace operation: [torch.sparse.FloatTensor [4, 4]], which is output 0 of SparseCooTensorWithDimsAndTensors, is at version 1; expected version 0 instead. Hint: enable anomaly detection to find the operation that failed to compute its gradient, with torch.autograd.set_detect_anomaly(True, check_nan=False). ``` Replace the in-place ops with out-of-place equivalents so gradients can flow back to the input vertices. - `clamp_` → `clamp` - `cot /= 4.0` → `cot = cot / 4.0` - `L += L.t()` → `L = L + L.t()` Reviewed By: bottler Differential Revision: D111896032 fbshipit-source-id: 4c36677487bae5d37a9d81cb791400576f4b2c5f
132 lines
4.3 KiB
Python
132 lines
4.3 KiB
Python
# Copyright (c) Meta Platforms, Inc. and affiliates.
|
|
# All rights reserved.
|
|
#
|
|
# This source code is licensed under the BSD-style license found in the
|
|
# LICENSE file in the root directory of this source tree.
|
|
|
|
import unittest
|
|
|
|
import torch
|
|
from pytorch3d.ops import cot_laplacian, laplacian, norm_laplacian
|
|
from pytorch3d.structures.meshes import Meshes
|
|
|
|
from .common_testing import get_random_cuda_device, TestCaseMixin
|
|
|
|
|
|
class TestLaplacianMatrices(TestCaseMixin, unittest.TestCase):
|
|
def setUp(self) -> None:
|
|
super().setUp()
|
|
torch.manual_seed(1)
|
|
|
|
def init_mesh(self) -> Meshes:
|
|
V, F = 32, 64
|
|
device = get_random_cuda_device()
|
|
# random vertices
|
|
verts = torch.rand((V, 3), dtype=torch.float32, device=device)
|
|
# random valid faces (no self circles, e.g. (v0, v0, v1))
|
|
faces = torch.stack([torch.randperm(V) for f in range(F)], dim=0)[:, :3]
|
|
faces = faces.to(device=device)
|
|
return Meshes(verts=[verts], faces=[faces])
|
|
|
|
def test_laplacian(self):
|
|
mesh = self.init_mesh()
|
|
verts = mesh.verts_packed()
|
|
edges = mesh.edges_packed()
|
|
V, E = verts.shape[0], edges.shape[0]
|
|
|
|
L = laplacian(verts, edges)
|
|
|
|
Lnaive = torch.zeros((V, V), dtype=torch.float32, device=verts.device)
|
|
for e in range(E):
|
|
e0, e1 = edges[e]
|
|
Lnaive[e0, e1] = 1
|
|
# symetric
|
|
Lnaive[e1, e0] = 1
|
|
|
|
deg = Lnaive.sum(1).view(-1, 1)
|
|
deg[deg > 0] = 1.0 / deg[deg > 0]
|
|
Lnaive = Lnaive * deg
|
|
diag = torch.eye(V, dtype=torch.float32, device=mesh.device)
|
|
Lnaive.masked_fill_(diag > 0, -1)
|
|
|
|
self.assertClose(L.to_dense(), Lnaive)
|
|
|
|
def test_cot_laplacian(self):
|
|
mesh = self.init_mesh()
|
|
verts = mesh.verts_packed()
|
|
faces = mesh.faces_packed()
|
|
V = verts.shape[0]
|
|
|
|
eps = 1e-12
|
|
|
|
L, inv_areas = cot_laplacian(verts, faces, eps=eps)
|
|
|
|
Lnaive = torch.zeros((V, V), dtype=torch.float32, device=verts.device)
|
|
inv_areas_naive = torch.zeros((V, 1), dtype=torch.float32, device=verts.device)
|
|
|
|
for f in faces:
|
|
v0 = verts[f[0], :]
|
|
v1 = verts[f[1], :]
|
|
v2 = verts[f[2], :]
|
|
A = (v1 - v2).norm()
|
|
B = (v0 - v2).norm()
|
|
C = (v0 - v1).norm()
|
|
s = 0.5 * (A + B + C)
|
|
|
|
face_area = (s * (s - A) * (s - B) * (s - C)).clamp_(min=1e-12).sqrt()
|
|
inv_areas_naive[f[0]] += face_area
|
|
inv_areas_naive[f[1]] += face_area
|
|
inv_areas_naive[f[2]] += face_area
|
|
|
|
A2, B2, C2 = A * A, B * B, C * C
|
|
cota = (B2 + C2 - A2) / face_area / 4.0
|
|
cotb = (A2 + C2 - B2) / face_area / 4.0
|
|
cotc = (A2 + B2 - C2) / face_area / 4.0
|
|
|
|
Lnaive[f[1], f[2]] += cota
|
|
Lnaive[f[2], f[0]] += cotb
|
|
Lnaive[f[0], f[1]] += cotc
|
|
# symetric
|
|
Lnaive[f[2], f[1]] += cota
|
|
Lnaive[f[0], f[2]] += cotb
|
|
Lnaive[f[1], f[0]] += cotc
|
|
|
|
idx = inv_areas_naive > 0
|
|
inv_areas_naive[idx] = 1.0 / inv_areas_naive[idx]
|
|
|
|
self.assertClose(inv_areas, inv_areas_naive)
|
|
self.assertClose(L.to_dense(), Lnaive)
|
|
|
|
def test_norm_laplacian(self):
|
|
mesh = self.init_mesh()
|
|
verts = mesh.verts_packed()
|
|
edges = mesh.edges_packed()
|
|
V, E = verts.shape[0], edges.shape[0]
|
|
|
|
eps = 1e-12
|
|
|
|
L = norm_laplacian(verts, edges, eps=eps)
|
|
|
|
Lnaive = torch.zeros((V, V), dtype=torch.float32, device=verts.device)
|
|
for e in range(E):
|
|
e0, e1 = edges[e]
|
|
v0 = verts[e0]
|
|
v1 = verts[e1]
|
|
|
|
w01 = 1.0 / ((v0 - v1).norm() + eps)
|
|
Lnaive[e0, e1] += w01
|
|
Lnaive[e1, e0] += w01
|
|
|
|
self.assertClose(L.to_dense(), Lnaive)
|
|
|
|
def test_cot_laplacian_backward(self):
|
|
"""Regression: in-place ops in _cot_laplacian_python break autograd."""
|
|
verts = torch.tensor(
|
|
[[0.0, 0.0, 0.0], [1.0, 0.0, 0.0], [0.0, 1.0, 0.0], [1.0, 1.0, 0.0]],
|
|
requires_grad=True,
|
|
)
|
|
faces = torch.tensor([[0, 1, 2], [1, 3, 2]])
|
|
L, inv_areas = cot_laplacian(verts, faces)
|
|
(L.to_dense().sum() + inv_areas.sum()).backward()
|
|
assert verts.grad is not None
|