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Unverified Commit d02e560e authored by czkkkkkk's avatar czkkkkkk Committed by GitHub
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Revert "[Sparse] Add SpMM and SDDMM." (#5014) 

* Revert "[Sparse] Add SpMM and SDDMM. (#4999)"

This reverts commit 15365d78.

* lint
parent 15365d78
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Showing with 4 additions and 560 deletions
CMakeLists.txt
View file @ d02e560e
......@@ -357,6 +357,5 @@ endif(BUILD_CPP_TEST)
if(BUILD_SPARSE)
set(DGL_INCLUDE "${CMAKE_CURRENT_SOURCE_DIR}/include")
list(APPEND DGL_INCLUDE "${CMAKE_CURRENT_SOURCE_DIR}/src")
add_subdirectory(dgl_sparse)
endif(BUILD_SPARSE)
dgl_sparse/include/sparse/dgl_headers.h
View file @ d02e560e
/**
* Copyright (c) 2022 by Contributors
* @file sparse/dgl_headers.h
* @file dgl_headers.h
* @brief DGL headers used in the sparse library. This is a workaround to
* avoid the macro naming conflict between dmlc/logging.h and torch logger. This
* file includes all the DGL headers used in the sparse library and
......@@ -14,14 +14,9 @@
#include <dgl/aten/coo.h>
#include <dgl/aten/csr.h>
#include <dgl/graph.h>
#include <dgl/kernel.h>
#include <dgl/runtime/dlpack_convert.h>
#include <dmlc/logging.h>
// Headers not in DGL include directory
#include "graph/unit_graph.h"
#undef CHECK
#undef CHECK_OP
#undef CHECK_EQ
......
dgl_sparse/include/sparse/sddmm.h deleted 100644 → 0
View file @ 15365d78
/**
* Copyright (c) 2022 by Contributors
* @file sparse/sddmm.h
* @brief DGL C++ SDDMM operator.
*/
#ifndef SPARSE_SDDMM_H_
#define SPARSE_SDDMM_H_
// clang-format off
#include <sparse/dgl_headers.h>
// clang-format on
#include <sparse/sparse_matrix.h>
#include <torch/script.h>
namespace dgl {
namespace sparse {
/**
* @brief Perform a sampled matrix multiplication of a sparse matrix and two
* dense matrices. For efficiency, `mat2_tr` is the transposition of the matrix
* to be multiplied. If the sparse matrix has shape (n, m), `mat1` and `mat2_tr`
* must have shapes of `(n, k)` and `(m, k)` or
* `(n,)` and `(m,)` respectively. And the returned tensor has shape
* `(sparse_matrix->nnz())`.
*
* This function does not take care of autograd.
*
* @param sparse_mat The sparse matrix.
* @param mat1 The first dense matrix.
* @param mat2_tr Transposition of the second matrix.
*
* @return Dense tensor.
*/
torch::Tensor SDDMMImpl(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat, torch::Tensor mat1,
torch::Tensor mat2_tr);
} // namespace sparse
} // namespace dgl
#endif // SPARSE_SDDMM_H_
dgl_sparse/include/sparse/sparse_format.h
View file @ d02e560e
......@@ -83,15 +83,6 @@ std::shared_ptr<CSR> CSRToCSC(const std::shared_ptr<CSR>& csr);
/** @brief COO transposition. */
std::shared_ptr<COO> COOTranspose(const std::shared_ptr<COO>& coo);
/** @brief Convert a COO sparse format to DGL Graph. */
HeteroGraphPtr COOToDGLGraph(const std::shared_ptr<COO>& coo);
/** @brief Convert a CSR sparse format to DGL Graph. */
HeteroGraphPtr CSRToDGLGraph(const std::shared_ptr<CSR>& csr);
/** @brief Convert a CSC sparse format to DGL Graph. */
HeteroGraphPtr CSCToDGLGraph(const std::shared_ptr<CSR>& csc);
} // namespace sparse
} // namespace dgl
......
dgl_sparse/include/sparse/spmm.h deleted 100644 → 0
View file @ 15365d78
/**
* Copyright (c) 2022 by Contributors
* @file sparse/spmm.h
* @brief DGL C++ SpMM operator.
*/
#ifndef SPARSE_SPMM_H_
#define SPARSE_SPMM_H_
// clang-format off
#include <sparse/dgl_headers.h>
// clang-format on
#include <sparse/sparse_matrix.h>
#include <torch/script.h>
namespace dgl {
namespace sparse {
/**
* @brief Perform a matrix multiplication of the sparse matrix and dense
* matrix. It uses the sparse formats of `sparse_mat` and non-zero values of
* `sparse_val` for SpMM. The `sparse_val` must be 1-dimensional. If the sparse
* matrix has shape (n, m), the dense matrix must have shape (m, k) or (m,). and
* the returned dense matrix has shape (n, k) or (n,
* ).
*
* This function does not take care of autograd.
*
* @param sparse_mat The sparse matrix.
* @param sparse_val Non-zero values of the sparse matrix.
* @param dense_mat The dense matrix.
*
* @return Dense tensor.
*/
torch::Tensor SpMMImpl(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat,
torch::Tensor sparse_val, torch::Tensor dense_mat);
/**
* @brief Perform a matrix multiplication of the sparse matrix and dense
* matrix. The sparse matrix must have 1-dimensional values. If the sparse
* matrix has shape (n, m), the dense matrix must have shape (m, k) or (m,), and
* the returned dense matrix has shape (n, k) or (n,).
*
* This function supports autograd for both the sparse and dense matrix.
*
* @param sparse_mat The sparse matrix.
* @param dense_mat The dense matrix.
*
* @return Dense matrix.
*/
torch::Tensor SpMM(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat,
torch::Tensor dense_mat);
} // namespace sparse
} // namespace dgl
#endif // SPARSE_SPMM_H_
dgl_sparse/src/python_binding.cc
View file @ d02e560e
......@@ -9,7 +9,6 @@
#include <sparse/elementwise_op.h>
#include <sparse/sparse_matrix.h>
#include <sparse/spmm.h>
#include <torch/custom_class.h>
#include <torch/script.h>
......@@ -30,8 +29,7 @@ TORCH_LIBRARY(dgl_sparse, m) {
.def("create_from_csr", &CreateFromCSR)
.def("create_from_csc", &CreateFromCSC)
.def("spsp_add", &SpSpAdd)
.def("val_like", &CreateValLike)
.def("spmm", &SpMM);
.def("val_like", &CreateValLike);
}
} // namespace sparse
......
dgl_sparse/src/sddmm.cc deleted 100644 → 0
View file @ 15365d78
/**
* Copyright (c) 2022 by Contributors
* @file sddmm.cc
* @brief DGL C++ sparse SDDMM operator implementation.
*/
// clang-format off
#include <sparse/dgl_headers.h>
// clang-format on
#include <sparse/sparse_matrix.h>
#include <torch/script.h>
#include "./utils.h"
namespace dgl {
namespace sparse {
torch::Tensor SDDMMImpl(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat, torch::Tensor mat1,
torch::Tensor mat2_tr) {
HeteroGraphPtr dgl_graph;
// Use CSR if the spars matrix has CSR or does not have COO. Otherwise use
// COO.
if (sparse_mat->HasCSR() || !sparse_mat->HasCOO()) {
auto csr = sparse_mat->CSRPtr();
dgl_graph = CSRToDGLGraph(csr);
} else {
auto coo = sparse_mat->COOPtr();
dgl_graph = COOToDGLGraph(coo);
}
if (mat2_tr.dim() == 1) {
mat1 = mat1.view({-1, 1});
mat2_tr = mat2_tr.view({-1, 1});
}
int64_t out_row = sparse_mat->nnz();
auto shape = std::vector<int64_t>({out_row});
auto ret = torch::zeros(shape, mat1.options());
const std::string op = "dot";
aten::SDDMM(
op.c_str(), dgl_graph, TorchTensorToDGLArray(mat1),
TorchTensorToDGLArray(mat2_tr), TorchTensorToDGLArray(ret),
0 /* Lhs target: u */, 2 /* rhs target: v */);
return ret;
}
} // namespace sparse
} // namespace dgl
dgl_sparse/src/sparse_format.cc
View file @ d02e560e
......@@ -92,20 +92,5 @@ std::shared_ptr<COO> COOTranspose(const std::shared_ptr<COO>& coo) {
return COOFromOldDGLCOO(dgl_coo_tr);
}
HeteroGraphPtr COOToDGLGraph(const std::shared_ptr<COO>& coo) {
auto dgl_coo = COOToOldDGLCOO(coo);
return UnitGraph::CreateFromCOO(2 /* Number of node types */, dgl_coo);
}
HeteroGraphPtr CSRToDGLGraph(const std::shared_ptr<CSR>& csr) {
auto dgl_csr = CSRToOldDGLCSR(csr);
return UnitGraph::CreateFromCSR(2 /* Number of node types */, dgl_csr);
}
HeteroGraphPtr CSCToDGLGraph(const std::shared_ptr<CSR>& csc) {
auto dgl_csc = CSRToOldDGLCSR(csc);
return UnitGraph::CreateFromCSC(2 /* Number of node types */, dgl_csc);
}
} // namespace sparse
} // namespace dgl
dgl_sparse/src/spmm.cc deleted 100644 → 0
View file @ 15365d78
/**
* Copyright (c) 2022 by Contributors
* @file spmm.cc
* @brief DGL C++ sparse SpMM operator implementation.
*/
// clang-format off
#include <sparse/dgl_headers.h>
// clang-format on
#include <sparse/sddmm.h>
#include <sparse/sparse_matrix.h>
#include <sparse/spmm.h>
#include <torch/script.h>
#include "./utils.h"
namespace dgl {
namespace sparse {
using namespace torch::autograd;
class SpMMAutoGrad : public Function<SpMMAutoGrad> {
public:
static torch::Tensor forward(
AutogradContext* ctx, c10::intrusive_ptr<SparseMatrix> sparse_mat,
torch::Tensor sparse_val, torch::Tensor dense_mat);
static tensor_list backward(AutogradContext* ctx, tensor_list grad_outputs);
};
void _SpMMSanityCheck(
c10::intrusive_ptr<SparseMatrix> sparse_mat, torch::Tensor sparse_val,
torch::Tensor dense_mat) {
const auto& sparse_mat_shape = sparse_mat->shape();
auto val_shape = sparse_val.sizes();
auto dense_shape = dense_mat.sizes();
CHECK(sparse_mat_shape[1] == dense_shape[0]);
CHECK(val_shape.size() == 1 && val_shape[0] == sparse_mat->nnz());
CHECK_LE(dense_shape.size(), 2);
CHECK(sparse_val.dtype() == dense_mat.dtype());
CHECK(
sparse_val.device() == sparse_mat->device() &&
sparse_val.device() == dense_mat.device());
}
torch::Tensor SpMMImpl(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat,
torch::Tensor sparse_val, torch::Tensor dense_mat) {
// Transpose the sparse matrix because dgl::aten::SpMM calculates A^T @ X.
auto sparse_mat_tr = sparse_mat->Transpose();
HeteroGraphPtr dgl_graph;
// Use CSR if the spars matrix has CSR or does not have COO. Otherwise use
// COO.
if (sparse_mat->HasCSC() || !sparse_mat->HasCOO()) {
auto csc = sparse_mat_tr->CSCPtr();
dgl_graph = CSCToDGLGraph(csc);
} else {
auto coo = sparse_mat_tr->COOPtr();
dgl_graph = COOToDGLGraph(coo);
}
const std::string op = "mul";
const std::string reduce = "sum";
int64_t out_row = sparse_mat->shape()[0];
std::vector<int64_t> shape;
if (dense_mat.dim() == 1) {
shape = {out_row};
} else {
shape = {out_row, dense_mat.size(1)};
}
auto ret = torch::zeros(shape, dense_mat.options());
aten::SpMM(
op.c_str(), reduce.c_str(), dgl_graph, TorchTensorToDGLArray(dense_mat),
TorchTensorToDGLArray(sparse_val), TorchTensorToDGLArray(ret),
std::vector<runtime::NDArray>());
return ret;
}
torch::Tensor SpMMAutoGrad::forward(
AutogradContext* ctx, c10::intrusive_ptr<SparseMatrix> sparse_mat,
torch::Tensor sparse_val, torch::Tensor dense_mat) {
_SpMMSanityCheck(sparse_mat, sparse_val, dense_mat);
auto ret = SpMMImpl(sparse_mat, sparse_val, dense_mat);
bool sparse_require_grad = sparse_val.requires_grad();
bool dense_require_grad = dense_mat.requires_grad();
torch::Tensor cache_sparse_val, cache_dense_mat;
if (dense_require_grad) {
cache_sparse_val = sparse_val;
}
if (sparse_require_grad) {
cache_dense_mat = dense_mat;
}
ctx->saved_data["sparse_matrix"] = sparse_mat;
ctx->saved_data["sparse_require_grad"] = sparse_require_grad;
ctx->saved_data["dense_require_grad"] = dense_require_grad;
ctx->save_for_backward({cache_sparse_val, cache_dense_mat});
return ret;
}
tensor_list SpMMAutoGrad::backward(
AutogradContext* ctx, tensor_list grad_outputs) {
auto saved = ctx->get_saved_variables();
auto sparse_val = saved[0];
auto dense_mat = saved[1];
auto output_grad = grad_outputs[0];
auto sparse_mat =
ctx->saved_data["sparse_matrix"].toCustomClass<SparseMatrix>();
bool sparse_require_grad = ctx->saved_data["sparse_require_grad"].toBool();
bool dense_require_grad = ctx->saved_data["dense_require_grad"].toBool();
torch::Tensor dense_mat_grad, sparse_val_grad;
if (sparse_require_grad) {
sparse_val_grad = SDDMMImpl(sparse_mat, output_grad, dense_mat);
}
if (dense_require_grad) {
auto sparse_mat_tr = sparse_mat->Transpose();
dense_mat_grad = SpMMImpl(sparse_mat_tr, sparse_val, output_grad);
}
return {torch::Tensor(), sparse_val_grad, dense_mat_grad};
}
torch::Tensor SpMM(
const c10::intrusive_ptr<SparseMatrix>& sparse_mat,
torch::Tensor dense_mat) {
return SpMMAutoGrad::apply(sparse_mat, sparse_mat->value(), dense_mat);
}
} // namespace sparse
} // namespace dgl
include/dgl/kernel.h
View file @ d02e560e
......@@ -34,10 +34,6 @@ void SpMM(
const std::string& op, const std::string& reduce, HeteroGraphPtr graph,
NDArray ufeat, NDArray efeat, NDArray out, std::vector<NDArray> out_aux);
void SpMM(
const char* op, const char* reduce, HeteroGraphPtr graph, NDArray ufeat,
NDArray efeat, NDArray out, std::vector<NDArray> out_aux);
/**
* @brief Generalized Sampled Dense-Dense Matrix Multiplication.
* @param op The binary operator, could be `add`, `sub', `mul`, 'div',
......@@ -46,16 +42,10 @@ void SpMM(
* @param ufeat The source node feature.
* @param vfeat The destination node feature.
* @param out The output feature on edge.
* @param lhs_target Type of `ufeat`. (0: source; 1: edge; 2: destination)
* @param rhs_target Type of `vfeat`. (0: source; 1: edge; 2: destination)
*/
void SDDMM(
const std::string& op, HeteroGraphPtr graph, NDArray ufeat, NDArray vfeat,
NDArray out, int lhs_target, int rhs_target);
void SDDMM(
const char* op, HeteroGraphPtr graph, NDArray ufeat, NDArray vfeat,
NDArray out, int lhs_target, int rhs_target);
const std::string& op, HeteroGraphPtr graph, NDArray ufeat, NDArray efeat,
NDArray out);
/**
* @brief Sparse-sparse matrix multiplication.
......
python/dgl/mock_sparse2/__init__.py
View file @ d02e560e
......@@ -10,7 +10,6 @@ from .elementwise_op import *
from .sparse_matrix import *
from .unary_op_diag import *
from .unary_op_sp import *
from .matmul import *
def load_dgl_sparse():
......
python/dgl/mock_sparse2/matmul.py deleted 100644 → 0
View file @ 15365d78
"""Matmul ops for SparseMatrix"""
# pylint: disable=invalid-name
from typing import Union
import torch
from .diag_matrix import DiagMatrix
from .sparse_matrix import SparseMatrix
__all__ = ["spmm"]
def spmm(A: Union[SparseMatrix, DiagMatrix], X: torch.Tensor) -> torch.Tensor:
"""Multiply a sparse matrix by a dense matrix
Parameters
----------
A : SparseMatrix or DiagMatrix
Sparse matrix of shape (N, M) with values of shape (nnz)
X : torch.Tensor
Dense tensor of shape (M, F) or (M)
Returns
-------
torch.Tensor
The result of multiplication
Examples
--------
>>> row = torch.tensor([0, 1, 1])
>>> col = torch.tensor([1, 0, 1])
>>> val = torch.randn(len(row))
>>> A = create_from_coo(row, col, val)
>>> X = torch.randn(2, 3)
>>> result = A @ X
>>> print(type(result))
<class 'torch.Tensor'>
>>> print(result.shape)
torch.Size([2, 3])
"""
assert isinstance(
A, (SparseMatrix, DiagMatrix)
), f"Expect arg1 to be a SparseMatrix or DiagMatrix object, got {type(A)}"
assert isinstance(
X, torch.Tensor
), f"Expect arg2 to be a torch.Tensor, got {type(X)}"
assert (
A.shape[1] == X.shape[0]
), f"Expect arg1.shape[1] == arg2.shape[0], got {A.shape[1]} and {X.shape[0]}"
val_dim = len(A.val.shape)
assert val_dim == 1, f"Expect arg1.val to be a 1D tensor, got {val_dim}D"
val_dim = len(X.shape)
assert val_dim <= 2, f"Expect arg2 to be a 1D/2D tensor, got {val_dim}D"
if not isinstance(A, SparseMatrix):
A = A.as_sparse()
return torch.ops.dgl_sparse.spmm(A.c_sparse_matrix, X)
def mm_sp(
A1: SparseMatrix, A2: Union[torch.Tensor, SparseMatrix, DiagMatrix]
) -> Union[torch.Tensor, SparseMatrix]:
"""Internal function for multiplying a sparse matrix by a dense/sparse/diagonal matrix
Parameters
----------
A1 : SparseMatrix
Matrix of shape (N, M), with values of shape (nnz1)
A2 : torch.Tensor, SparseMatrix, or DiagMatrix
If A2 is a dense tensor, it can have shapes of (M, P) or (M, ).
Otherwise it must have a shape of (M, P).
Returns
-------
torch.Tensor or SparseMatrix
The result of multiplication.
* It is a dense torch tensor if :attr:`A2` is so.
* It is a SparseMatrix object otherwise.
Examples
--------
>>> row = torch.tensor([0, 1, 1])
>>> col = torch.tensor([1, 0, 1])
>>> val = torch.randn(len(row))
>>> A1 = create_from_coo(row, col, val)
>>> A2 = torch.randn(2, 3)
>>> result = A1 @ A2
>>> print(type(result))
<class 'torch.Tensor'>
>>> print(result.shape)
torch.Size([2, 3])
"""
assert isinstance(
A2, (torch.Tensor, SparseMatrix, DiagMatrix)
), f"Expect arg2 to be a torch Tensor, SparseMatrix, or DiagMatrix object, got {type(A2)}"
if isinstance(A2, torch.Tensor):
return spmm(A1, A2)
else:
raise NotImplementedError
SparseMatrix.__matmul__ = mm_sp
src/array/kernel.cc
View file @ d02e560e
......@@ -48,12 +48,6 @@ void SpMM(
});
}
void SpMM(
const char* op, const char* reduce, HeteroGraphPtr graph, NDArray ufeat,
NDArray efeat, NDArray out, std::vector<NDArray> out_aux) {
SpMM(std::string(op), std::string(reduce), graph, ufeat, efeat, out, out_aux);
}
/** @brief Generalized segmented dense Matrix-Matrix Multiplication. */
void SegmentMM(
const NDArray A, const NDArray B, NDArray C, const NDArray seglen_A,
......@@ -258,12 +252,6 @@ void SDDMM(
});
}
void SDDMM(
const char* op, HeteroGraphPtr graph, NDArray ufeat, NDArray vfeat,
NDArray out, int lhs_target, int rhs_target) {
SDDMM(std::string(op), graph, ufeat, vfeat, out, lhs_target, rhs_target);
}
/**
* @brief Find the src/dst/etype id based on the target 'u', 'v' or 'e'.
*
......
tests/pytorch/mock_sparse2/test_mm.py deleted 100644 → 0
View file @ 15365d78
import sys
import backend as F
import pytest
import torch
from dgl.mock_sparse2 import create_from_coo, create_from_csc, create_from_csr
# TODO(#4818): Skipping tests on win.
if not sys.platform.startswith("linux"):
pytest.skip("skipping tests on win", allow_module_level=True)
def get_adj(A):
row, col = A.coo()
edge_index = torch.cat((row.unsqueeze(0), col.unsqueeze(0)), 0)
shape = A.shape
val = A.val.detach()
if len(A.val.shape) > 1:
shape += (A.val.shape[-1],)
return torch.sparse_coo_tensor(edge_index, val, shape).coalesce()
def test_spmm_coo():
dev = F.ctx()
# A: shape (N, M), X: shape (M, F)
row = torch.tensor([0, 1, 1, 1]).to(dev)
col = torch.tensor([1, 0, 1, 2]).to(dev)
val = torch.randn(len(row), requires_grad=True, device=dev)
A = create_from_coo(row, col, val)
X = torch.randn(3, 4, requires_grad=True, device=dev)
sparse_result = A @ X
grad = torch.randn_like(sparse_result)
sparse_result.backward(grad)
adj = get_adj(A)
adj.requires_grad_()
XX = X.clone().detach()
XX.requires_grad_()
dense_result = torch.sparse.mm(adj, XX)
dense_result.backward(grad)
assert torch.allclose(sparse_result, dense_result)
assert torch.allclose(X.grad, XX.grad)
assert torch.allclose(adj.grad.coalesce().values(), val.grad)
def test_spmm_coo_one_dim_rhs():
dev = F.ctx()
# A: shape (N, M), X: shape (M,)
row = torch.tensor([0, 1, 1, 1]).to(dev)
col = torch.tensor([1, 0, 1, 2]).to(dev)
val = torch.randn(len(row), requires_grad=True, device=dev)
A = create_from_coo(row, col, val)
X = torch.randn(3, requires_grad=True, device=dev)
sparse_result = A @ X
grad = torch.randn_like(sparse_result)
sparse_result.backward(grad)
adj = get_adj(A)
adj.requires_grad_()
XX = X.clone().detach()
XX.requires_grad_()
dense_result = torch.sparse.mm(adj, XX.view(-1, 1))
dense_result = dense_result.view(-1)
dense_result.backward(grad)
assert torch.allclose(sparse_result, dense_result)
assert torch.allclose(X.grad, XX.grad)
assert torch.allclose(adj.grad.coalesce().values(), val.grad)
def test_spmm_csr():
dev = F.ctx()
# A: shape (N, M), X: shape (M, F)
indptr = torch.tensor([0, 1, 4]).to(dev)
indices = torch.tensor([1, 0, 1, 2]).to(dev)
val = torch.randn(len(indices), requires_grad=True, device=dev)
A = create_from_csr(indptr, indices, val, shape=(2, 3))
X = torch.randn(3, 4, requires_grad=True, device=dev)
sparse_result = A @ X
grad = torch.randn_like(sparse_result)
sparse_result.backward(grad)
adj = get_adj(A)
adj.requires_grad_()
XX = X.clone().detach()
XX.requires_grad_()
dense_result = torch.sparse.mm(adj, XX)
dense_result.backward(grad)
assert torch.allclose(sparse_result, dense_result)
assert torch.allclose(X.grad, XX.grad)
assert torch.allclose(adj.grad.coalesce().values(), val.grad)
def test_spmm_csc():
dev = F.ctx()
# A: shape (N, M), X: shape (M, F)
indptr = torch.tensor([0, 1, 3, 4]).to(dev)
indices = torch.tensor([0, 0, 1, 1]).to(dev)
val = torch.randn(len(indices), requires_grad=True, device=dev)
A = create_from_csc(indptr, indices, val, shape=(2, 3))
X = torch.randn(3, 4, requires_grad=True, device=dev)
sparse_result = A @ X
grad = torch.randn_like(sparse_result)
sparse_result.backward(grad)
adj = get_adj(A)
adj.requires_grad_()
XX = X.clone().detach()
XX.requires_grad_()
dense_result = torch.sparse.mm(adj, XX)
dense_result.backward(grad)
assert torch.allclose(sparse_result, dense_result)
assert torch.allclose(X.grad, XX.grad)
assert torch.allclose(adj.grad.coalesce().values(), val.grad)
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