


import torch
from torch import autograd







class    lowerCamelCase__     ( autograd.Function):





     @staticmethod
     def   __A      (UpperCAmelCase	,  UpperCAmelCase	,  UpperCAmelCase	,  UpperCAmelCase )  ->     Dict:
      _lowercase							   =inputs.numel()
      _lowercase							   =int(0.005 * nb_elems ) + 1
      if sigmoid:
       _lowercase							   =(torch.sigmoid(UpperCAmelCase ) > threshold).type(inputs.type() )
      else:
       _lowercase							   =(inputs > threshold).type(inputs.type() )
      if mask.sum() < nb_min:
       # We limit the pruning so that at least 0.5% (half a percent) of the weights are remaining
       _lowercase							   =inputs.flatten().kthvalue(max(nb_elems - nb_min	,  1 ) ).values
       _lowercase							   =(inputs > k_threshold).type(inputs.type() )
      return mask





     @staticmethod
     def   __A      (UpperCAmelCase	,  UpperCAmelCase )  ->     Tuple:
      return gradOutput, None, None







class    lowerCamelCase__     ( autograd.Function):





     @staticmethod
     def   __A      (UpperCAmelCase	,  UpperCAmelCase	,  UpperCAmelCase )  ->     Any:
      _lowercase							   =inputs.clone()
      _lowercase   ,					_lowercase							   =inputs.flatten().sort(descending=UpperCAmelCase )
      _lowercase							   =int(threshold * inputs.numel() )

      # flat_out and mask access the same memory.
      _lowercase							   =mask.flatten()
      _lowercase							   =0
      _lowercase							   =1
      return mask





     @staticmethod
     def   __A      (UpperCAmelCase	,  UpperCAmelCase )  ->     int:
      return gradOutput, None







class    lowerCamelCase__     ( lowerCAmelCase):





     @staticmethod
     def   __A      (UpperCAmelCase	,  UpperCAmelCase )  ->     Union[str, Any]:
      _lowercase							   =inputs.clone()
      _lowercase   ,					_lowercase							   =inputs.abs().flatten().sort(descending=UpperCAmelCase )
      _lowercase							   =int(threshold * inputs.numel() )

      # flat_out and mask access the same memory.
      _lowercase							   =mask.flatten()
      _lowercase							   =0
      _lowercase							   =1
      return mask





def        UpperCAmelCase_      (							__snake_case		)  ->    bool:







 """simple docstring"""


 if not isinstance(__snake_case  ,		__snake_case		):
  _lowercase							   =F"Input value of [number={number}] must be an integer"
  raise TypeError(__snake_case		)
 if number < 0 or number % 2 == 1:
  return False
 _lowercase							   =int(number**0.5		)
 return number == number_sqrt * (number_sqrt + 1)


if __name__ == "__main__":
  import doctest

  doctest.testmod()

