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import torch
def eye(m, dtype=None, device=None):
"""Returns a sparse matrix with ones on the diagonal and zeros elsewhere.
Args:
m (int): The first dimension of sparse matrix.
dtype (`torch.dtype`, optional): The desired data type of returned
value vector. (default is set by `torch.set_default_tensor_type()`)
device (`torch.device`, optional): The desired device of returned
tensors. (default is set by `torch.set_default_tensor_type()`)
:rtype: (:class:`LongTensor`, :class:`Tensor`)
"""
row = torch.arange(m, dtype=torch.long, device=device)
index = torch.stack([row, row], dim=0)
value = torch.ones(m, dtype=dtype, device=device)
return index, value
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