log2() and log10() in PyTorch

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*Memos:

• My post explains log() and log1p().
• My post explains exp() and exp2().
• My post explains expm1() and sigmoid().

log2() can get the 0D or more D tensor of the zero or more elements by log₂(x) from the 0D or more D tensor of zero or more elements as shown below:

*Memos:

• log2() 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).
• There is out argument with torch(Optional-Type:tensor): *Memos:
  • out= must be used.
  • My post explains out argument.
• *A float tensor is returned unless an input tensor is complex tensor.
• The formula is y = log₂(x).
• The graph in Desmos:

import torch

my_tensor = torch.tensor([-0.1, 0.0, 0.1, 0.9, 1.0, 1.1, 2.0, 100.0])

torch.log2(input=my_tensor)
my_tensor.log2()
# tensor([nan, -inf, -3.3219, -0.1520, 0.0000, 0.1375, 1.0000, 6.6439])

my_tensor = torch.tensor([[-0.1, 0.0, 0.1, 0.9],
                          [1.0, 1.1, 2.0, 100.0]])
torch.log2(input=my_tensor)
# tensor([[nan, -inf, -3.3219, -0.1520],
#         [0.0000, 0.1375, 1.0000, 6.6439]])

my_tensor = torch.tensor([[[-0.1, 0.0], [0.1, 0.9]],
                          [[1.0, 1.1], [2.0, 100.0]]])
torch.log2(input=my_tensor)
# tensor([[[nan, -inf], [-3.3219, -0.1520]],
#         [[0.0000, 0.1375], [1.0000, 6.6439]]])

my_tensor = torch.tensor([[[-0.1+0.j, 0.0+0.j], [0.1+0.j, 0.9+0.j]],
                          [[1.0+0.j, 1.1+0.j], [2.0+0.j, 100.0+0.j]]])
torch.log2(input=my_tensor)
# tensor([[[-3.3219+4.5324j, -inf+0.0000j],
#          [-3.3219+0.0000j, -0.1520+0.0000j]],
#         [[0.0000+0.0000j, 0.1375+0.0000j],
#          [1.0000+0.0000j, 6.6439+0.0000j]]])

my_tensor = torch.tensor([[[-1, 0], [1, 2]],
                          [[5, 8], [10, 100]]])
torch.log2(input=my_tensor)
# tensor([[[nan, -inf], [0.0000, 1.0000]],
#         [[2.3219, 3.0000], [3.3219, 6.6439]]])

my_tensor = torch.tensor([[[True, False], [True, False]],
                          [[False, True], [False, True]]])
torch.log2(input=my_tensor)
# tensor([[[0., -inf], [0., -inf]],
#         [[-inf, 0.], [-inf, 0.]]])

log10() can get the 0D or more D tensor of the zero or more elements by log₁₀(x) from the 0D or more D tensor of zero or more elements as shown below:

*Memos:

• log10() 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).
• There is out argument with torch(Optional-Type:tensor): *Memos:
  • out= must be used.
  • My post explains out argument.
• *A float tensor is returned unless an input tensor is complex tensor.
• The formula is y = log₁₀(x).
• The graph in Desmos:

import torch

my_tensor = torch.tensor([-0.1, 0.0, 0.1, 0.9, 1.0, 1.1, 10.0, 100.0])

torch.log10(input=my_tensor)
my_tensor.log10()
# tensor([nan, -inf, -1.0000, -0.0458, 0.0000, 0.0414, 1.0000, 2.0000])

my_tensor = torch.tensor([[-0.1, 0.0, 0.1, 0.9],
                          [1.0, 1.1, 10.0, 100.0]])
torch.log10(input=my_tensor)
# tensor([[nan, -inf, -1.0000, -0.0458],
#         [0.0000, 0.0414, 1.0000, 2.0000]])

my_tensor = torch.tensor([[[-0.1, 0.0], [0.1, 0.9]],
                          [[1.0, 1.1], [10.0, 100.0]]])
torch.log10(input=my_tensor)
# tensor([[[nan, -inf],
#          [-1.0000, -0.0458]],
#         [[0.0000, 0.0414],
#          [1.0000, 2.0000]]])

my_tensor = torch.tensor([[[-0.1+0.j, 0.0+0.j], [0.1+0.j, 0.9+0.j]],
                          [[1.0+0.j, 1.1+0.j], [10.0+0.j, 100.0+0.j]]])
torch.log10(input=my_tensor)
# tensor([[[-1.0000+1.3644j, -inf+0.0000j],
#          [-1.0000+0.0000j, -0.0458+0.0000j]],
#         [[0.0000+0.0000j, 0.0414+0.0000j],
#          [1.0000+0.0000j, 2.0000+0.0000j]]])

my_tensor = torch.tensor([[[-1, 0], [1, 2]],
                          [[5, 8], [10, 100]]])
torch.log10(input=my_tensor)
# tensor([[[nan, -inf], [0.0000, 0.3010]],
#         [[0.6990, 0.9031], [1.0000, 2.0000]]])

my_tensor = torch.tensor([[[True, False], [True, False]],
                          [[False, True], [False, True]]])
torch.log10(input=my_tensor)
# tensor([[[0., -inf], [0., -inf]],
#         [[-inf, 0.], [-inf, 0.]]])