diag_embed in PyTorch

#python #pytorch #diagembed #diagonal
*Memos:
My post explains eye().
My post explains diag().
My post explains diagflat().
My post explains diagonal().
diag_embed() can create the 2D or more D tensor of zero or more elements on the diagonal and zero or more 0, 0., 0.+0.j or False elsewhere from the 1D or more D tensor of zero or more elements as shown below:
*Memos:
diag_embed() can be used with torch or a tensor.
The 1st argument(input) with torch or using a tensor(Required-Type:tensor of int, float, complex or bool).
The 2nd argument with torch or the 1st argument with a tensor is offset(Optional-Default:0-Type:int).
The 3rd argument with torch or the 2nd argument with a tensor is dim1(Optional-Default:-2-Type:int).
The 4th argument with torch or the 3rd argument with a tensor is dim2(Optional-Default:-1-Type:int).
import torch

my_tensor = torch.tensor([7, -4, 5])

torch.diag_embed(input=my_tensor)
my_tensor.diag_embed()
torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=-1)
# tensor([[7, 0, 0],
#         [0, -4, 0],
#         [0, 0, 5]])

torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=-2)
# tensor([[0, 7, 0, 0],
#         [0, 0, -4, 0],
#         [0, 0, 0, 5],
#         [0, 0, 0, 0]])

torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=-1)
# tensor([[0, 0, 0, 0],
#         [7, 0, 0, 0],
#         [0, -4, 0, 0],
#         [0, 0, 5, 0]])

torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=-2)
# tensor([[0, 0, 7, 0, 0],
#         [0, 0, 0, -4, 0],
#         [0, 0, 0, 0, 5],
#         [0, 0, 0, 0, 0],
#         [0, 0, 0, 0, 0]])

torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=-1)
# tensor([[0, 0, 0, 0, 0],
#         [0, 0, 0, 0, 0],
#         [7, 0, 0, 0, 0],
#         [0, -4, 0, 0, 0],
#         [0, 0, 5, 0, 0]])

my_tensor = torch.tensor([7., -4., 5.])

torch.diag_embed(input=my_tensor)
# tensor([[7., 0., 0.],
#         [0., -4., 0.],
#         [0., 0., 5.]])

my_tensor = torch.tensor([7+0j, -4+0j, 5+0j])

torch.diag_embed(input=my_tensor)
# tensor([[7.+0.j, 0.+0.j, 0.+0.j],
#         [0.+0.j, -4.+0.j, 0.+0.j],
#         [0.+0.j, 0.+0.j, 5.+0.j]])

my_tensor = torch.tensor([True, True, True])

torch.diag_embed(input=my_tensor)
# tensor([[True, False, False],
#         [False, True, False],
#         [False, False, True]])

my_tensor = torch.tensor([[7, -4, 5],
                          [-6, -3, 8],
                          [9, 1, -2]])
torch.diag_embed(input=my_tensor)
torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=-2)
torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=0, dim1=-3, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=-3, dim2=-2)
# tensor([[[7, -6, 9],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [-4, -3, 1],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [5, 8, -2]]])

torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=2)
torch.diag_embed(input=my_tensor, offset=0, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=0, dim1=2, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=0, dim1=-3, dim2=2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-3, dim2=-1)
# tensor([[[7, 0, 0],
#          [-6, 0, 0],
#          [9, 0, 0]],
#         [[0, -4, 0],
#          [0, -3, 0],
#          [0, 1, 0]],
#         [[0, 0, 5],
#          [0, 0, 8],
#          [0, 0, -2]]])

torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=2)
torch.diag_embed(input=my_tensor, offset=0, dim1=1, dim2=-1)
torch.diag_embed(input=my_tensor, offset=0, dim1=2, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=2, dim2=-2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=1)
torch.diag_embed(input=my_tensor, offset=0, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=2)
torch.diag_embed(input=my_tensor, offset=0, dim1=-2, dim2=-1)
# tensor([[[7, 0, 0],
#          [0, -4, 0],
#          [0, 0, 5]],
#         [[-6, 0, 0],
#          [0, -3, 0],
#          [0, 0, 8]],
#         [[9, 0, 0],
#          [0, 1, 0],
#          [0, 0, -2]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=-2)
torch.diag_embed(input=my_tensor, offset=1, dim1=-3, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-3, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=-3)
# tensor([[[0, 0, 0],
#          [7, -6, 9],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [-4, -3, 1],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [5, 8, -2]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=2)
torch.diag_embed(input=my_tensor, offset=1, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-3, dim2=2)
torch.diag_embed(input=my_tensor, offset=1, dim1=-3, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=2, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=-3)
# tensor([[[0, 7, 0, 0],
#          [0, -6, 0, 0],
#          [0, 9, 0, 0]],
#         [[0, 0, -4, 0],
#          [0, 0, -3, 0],
#          [0, 0, 1, 0]],
#         [[0, 0, 0, 5],
#          [0, 0, 0, 8],
#          [0, 0, 0, -2]],
#         [[0, 0, 0, 0],
#          [0, 0, 0, 0],
#          [0, 0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-3, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-3, dim2=-2)
# tensor([[[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[7, -6, 9],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [-4, -3, 1],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [5, 8, -2],
#          [0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=2)
torch.diag_embed(input=my_tensor, offset=1, dim1=1, dim2=-1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=2)
torch.diag_embed(input=my_tensor, offset=1, dim1=-2, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=2, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=2, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-1, dim2=-2)
# tensor([[[0, 7, 0, 0],
#          [0, 0, -4, 0],
#          [0, 0, 0, 5],
#          [0, 0, 0, 0]],
#         [[0, -6, 0, 0],
#          [0, 0, -3, 0],
#          [0, 0, 0, 8],
#          [0, 0, 0, 0]],
#         [[0, 9, 0, 0],
#          [0, 0, 1, 0],
#          [0, 0, 0, -2],
#          [0, 0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=2, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-3, dim2=2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-3, dim2=-1)
# tensor([[[0, 0, 0, 0],
#          [0, 0, 0, 0],
#          [0, 0, 0, 0]],
#         [[7, 0, 0, 0],
#          [-6, 0, 0, 0],
#          [9, 0, 0, 0]],
#         [[0, -4, 0, 0],
#          [0, -3, 0, 0],
#          [0, 1, 0, 0]],
#         [[0, 0, 5, 0],
#          [0, 0, 8, 0],
#          [0, 0, -2, 0]]])

torch.diag_embed(input=my_tensor, offset=1, dim1=2, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=2, dim2=-2)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=1)
torch.diag_embed(input=my_tensor, offset=1, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=1, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=2)
torch.diag_embed(input=my_tensor, offset=-1, dim1=-2, dim2=-1)
# tensor([[[0, 0, 0, 0],
#          [7, 0, 0, 0],
#          [0, -4, 0, 0],
#          [0, 0, 5, 0]],
#         [[0, 0, 0, 0],
#          [-6, 0, 0, 0],
#          [0, -3, 0, 0],
#          [0, 0, 8, 0]],
#         [[0, 0, 0, 0],
#          [9, 0, 0, 0],
#          [0, 1, 0, 0],
#          [0, 0, -2, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=-2)
torch.diag_embed(input=my_tensor, offset=2, dim1=-3, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-3, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=-3)
# tensor([[[0, 0, 0],
#          [0, 0, 0],
#          [7, -6, 9],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [-4, -3, 1],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [5, 8, -2]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=2)
torch.diag_embed(input=my_tensor, offset=2, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-3, dim2=2)
torch.diag_embed(input=my_tensor, offset=2, dim1=-3, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=2, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=-3)
# tensor([[[0, 0, 7, 0, 0],
#          [0, 0, -6, 0, 0],
#          [0, 0, 9, 0, 0]],
#         [[0, 0, 0, -4, 0],
#          [0, 0, 0, -3, 0],
#          [0, 0, 0, 1, 0]],
#         [[0, 0, 0, 0, 5],
#          [0, 0, 0, 0, 8],
#          [0, 0, 0, 0, -2]],
#         [[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]],
#         [[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-3, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-3, dim2=-2)
# tensor([[[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[7, -6, 9],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [-4, -3, 1],
#          [0, 0, 0],
#          [0, 0, 0],
#          [0, 0, 0]],
#         [[0, 0, 0],
#          [0, 0, 0],
#          [5, 8, -2],
#          [0, 0, 0],
#          [0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=2)
torch.diag_embed(input=my_tensor, offset=2, dim1=1, dim2=-1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=2)
torch.diag_embed(input=my_tensor, offset=2, dim1=-2, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=2, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=2, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-1, dim2=-2)
# tensor([[[0, 0, 7, 0, 0],
#          [0, 0, 0, -4, 0],
#          [0, 0, 0, 0, 5],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]],
#         [[0, 0, -6, 0, 0],
#          [0, 0, 0,-3, 0],
#          [0, 0, 0, 0, 8],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]],
#         [[0, 0, 9, 0, 0],
#          [0, 0, 0, 1, 0],
#          [0, 0, 0, 0, -2],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=2, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=2, dim2=-3)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=0)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=-3)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=0, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-3, dim2=2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-3, dim2=-1)
# tensor([[[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]],
#         [[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0]],
#         [[7, 0, 0, 0, 0],
#          [-6, 0, 0, 0, 0],
#          [9, 0, 0, 0, 0]],
#         [[0, -4, 0, 0, 0],
#          [0, -3, 0, 0, 0],
#          [0, 1, 0, 0, 0]],
#         [[0, 0, 5, 0, 0],
#          [0, 0, 8, 0, 0],
#          [0, 0, -2, 0, 0]]])

torch.diag_embed(input=my_tensor, offset=2, dim1=2, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=2, dim2=-2)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=1)
torch.diag_embed(input=my_tensor, offset=2, dim1=-1, dim2=-2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=1, dim2=-1)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=2)
torch.diag_embed(input=my_tensor, offset=-2, dim1=-2, dim2=-1)
# tensor([[[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [7, 0, 0, 0, 0],
#          [0, -4, 0, 0, 0],
#          [0, 0, 5, 0, 0]],
#         [[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [-6, 0, 0, 0, 0],
#          [0, -3, 0, 0, 0],
#          [0, 0, 8, 0, 0]],
#         [[0, 0, 0, 0, 0],
#          [0, 0, 0, 0, 0],
#          [9, 0, 0, 0, 0],
#          [0, 1, 0, 0, 0],
#          [0, 0, -2, 0, 0]]])
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diag_embed in PyTorch

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