chore: import upstream snapshot with attribution
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"""DGL elementwise operators for sparse matrix module."""
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from typing import Union
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import torch
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from .sparse_matrix import SparseMatrix, val_like
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from .utils import is_scalar, Scalar
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def spsp_add(A, B):
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"""Invoke C++ sparse library for addition"""
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return SparseMatrix(
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torch.ops.dgl_sparse.spsp_add(A.c_sparse_matrix, B.c_sparse_matrix)
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)
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def spsp_mul(A, B):
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"""Invoke C++ sparse library for multiplication"""
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return SparseMatrix(
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torch.ops.dgl_sparse.spsp_mul(A.c_sparse_matrix, B.c_sparse_matrix)
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)
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def spsp_div(A, B):
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"""Invoke C++ sparse library for division"""
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return SparseMatrix(
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torch.ops.dgl_sparse.spsp_div(A.c_sparse_matrix, B.c_sparse_matrix)
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)
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def sp_add(A: SparseMatrix, B: SparseMatrix) -> SparseMatrix:
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"""Elementwise addition
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Parameters
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----------
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A : SparseMatrix
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Sparse matrix
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B : SparseMatrix
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Sparse matrix
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Returns
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-------
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SparseMatrix
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Sparse matrix
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Examples
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--------
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>>> indices = torch.tensor([[1, 0, 2], [0, 3, 2]])
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>>> val = torch.tensor([10, 20, 30])
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>>> A = dglsp.spmatrix(indices, val, shape=(3, 4))
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>>> A + A
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SparseMatrix(indices=tensor([[0, 1, 2],
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[3, 0, 2]]),
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values=tensor([40, 20, 60]),
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shape=(3, 4), nnz=3)
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"""
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# Python falls back to B.__radd__ then TypeError when NotImplemented is
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# returned.
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return spsp_add(A, B) if isinstance(B, SparseMatrix) else NotImplemented
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def sp_sub(A: SparseMatrix, B: SparseMatrix) -> SparseMatrix:
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"""Elementwise subtraction
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Parameters
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----------
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A : SparseMatrix
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Sparse matrix
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B : SparseMatrix
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Sparse matrix
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Returns
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-------
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SparseMatrix
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Sparse matrix
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Examples
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--------
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>>> indices = torch.tensor([[1, 0, 2], [0, 3, 2]])
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>>> val = torch.tensor([10, 20, 30])
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>>> val2 = torch.tensor([5, 10, 15])
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>>> A = dglsp.spmatrix(indices, val, shape=(3, 4))
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>>> B = dglsp.spmatrix(indices, val2, shape=(3, 4))
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>>> A - B
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SparseMatrix(indices=tensor([[0, 1, 2],
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[3, 0, 2]]),
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values=tensor([10, 5, 15]),
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shape=(3, 4), nnz=3)
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"""
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# Python falls back to B.__rsub__ then TypeError when NotImplemented is
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# returned.
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return spsp_add(A, -B) if isinstance(B, SparseMatrix) else NotImplemented
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def sp_mul(A: SparseMatrix, B: Union[SparseMatrix, Scalar]) -> SparseMatrix:
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"""Elementwise multiplication
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Note that if both :attr:`A` and :attr:`B` are sparse matrices, both of them
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need to be diagonal or on CPU.
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Parameters
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----------
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A : SparseMatrix
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First operand
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B : SparseMatrix or Scalar
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Second operand
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Returns
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-------
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SparseMatrix
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Result of A * B
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Examples
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--------
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>>> indices = torch.tensor([[1, 0, 2], [0, 3, 2]])
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>>> val = torch.tensor([1, 2, 3])
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>>> A = dglsp.spmatrix(indices, val, shape=(3, 4))
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>>> A * 2
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SparseMatrix(indices=tensor([[1, 0, 2],
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[0, 3, 2]]),
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values=tensor([2, 4, 6]),
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shape=(3, 4), nnz=3)
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>>> 2 * A
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SparseMatrix(indices=tensor([[1, 0, 2],
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[0, 3, 2]]),
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values=tensor([2, 4, 6]),
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shape=(3, 4), nnz=3)
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>>> indices2 = torch.tensor([[2, 0, 1], [0, 3, 2]])
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>>> val2 = torch.tensor([3, 2, 1])
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>>> B = dglsp.spmatrix(indices2, val2, shape=(3, 4))
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>>> A * B
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SparseMatrix(indices=tensor([[0],
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[3]]),
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values=tensor([4]),
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shape=(3, 4), nnz=1)
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"""
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if is_scalar(B):
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return val_like(A, A.val * B)
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return spsp_mul(A, B)
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def sp_div(A: SparseMatrix, B: Union[SparseMatrix, Scalar]) -> SparseMatrix:
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"""Elementwise division
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If :attr:`B` is a sparse matrix, both :attr:`A` and :attr:`B` must have the
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same sparsity. And the returned matrix has the same order of non-zero
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entries as :attr:`A`.
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Parameters
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----------
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A : SparseMatrix
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First operand
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B : SparseMatrix or Scalar
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Second operand
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Returns
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-------
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SparseMatrix
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Result of A / B
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Examples
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--------
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>>> indices = torch.tensor([[1, 0, 2], [0, 3, 2]])
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>>> val = torch.tensor([1, 2, 3])
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>>> A = dglsp.spmatrix(indices, val, shape=(3, 4))
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>>> A / 2
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SparseMatrix(indices=tensor([[1, 0, 2],
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[0, 3, 2]]),
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values=tensor([0.5000, 1.0000, 1.5000]),
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shape=(3, 4), nnz=3)
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"""
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if is_scalar(B):
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return val_like(A, A.val / B)
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return spsp_div(A, B)
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def sp_power(A: SparseMatrix, scalar: Scalar) -> SparseMatrix:
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"""Take the power of each nonzero element and return a sparse matrix with
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the result.
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Parameters
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----------
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A : SparseMatrix
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Sparse matrix
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scalar : float or int
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Exponent
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Returns
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-------
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SparseMatrix
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Sparse matrix
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Examples
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--------
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>>> indices = torch.tensor([[1, 0, 2], [0, 3, 2]])
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>>> val = torch.tensor([10, 20, 30])
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>>> A = dglsp.spmatrix(indices, val)
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>>> A ** 2
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SparseMatrix(indices=tensor([[1, 0, 2],
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[0, 3, 2]]),
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values=tensor([100, 400, 900]),
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shape=(3, 4), nnz=3)
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"""
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# Python falls back to scalar.__rpow__ then TypeError when NotImplemented
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# is returned.
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return val_like(A, A.val**scalar) if is_scalar(scalar) else NotImplemented
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SparseMatrix.__add__ = sp_add
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SparseMatrix.__sub__ = sp_sub
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SparseMatrix.__mul__ = sp_mul
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SparseMatrix.__rmul__ = sp_mul
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SparseMatrix.__truediv__ = sp_div
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SparseMatrix.__pow__ = sp_power
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