






"""simple docstring"""





from __future__ import annotations

from typing import Any
class    __lowerCamelCase    :

   def __init__(					self ,				snake_case_ ,				snake_case_ ,				snake_case_ = 0      )		->       None:
       UpperCamelCase__         =    row, column
       UpperCamelCase__         =    [[default_value for c in range(snake_case_      )] for r in range(snake_case_      )]

   def __str__(					self      )		->       str:
       UpperCamelCase__         =    F'Matrix consist of {self.row} rows and {self.column} columns\n'

       # Make string identifier
       UpperCamelCase__         =    0
       for row_vector in self.array:
           for obj in row_vector:
               UpperCamelCase__         =    max(snake_case_ ,				len(str(snake_case_      )      )      )
       UpperCamelCase__         =    F'%{max_element_length}s'

       # Make string and return
       def single_line(snake_case_      ) -> str:
           nonlocal string_format_identifier
           UpperCamelCase__         =    "["
           line += ", ".join(string_format_identifier % (obj,) for obj in row_vector      )
           line += "]"
           return line

       s += "\n".join(single_line(snake_case_      ) for row_vector in self.array      )
       return s

   def __repr__(					self      )		->       str:
       return str(self      )

   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_      )		->       bool:
       if not (isinstance(snake_case_ ,				(list, tuple)      ) and len(snake_case_      ) == 2):
           return False
       elif not (0 <= loc[0] < self.row and 0 <= loc[1] < self.column):
           return False
       else:
           return True

   def __getitem__(					self ,				snake_case_      )		->       Any:
       assert self.validate_indicies(snake_case_      )
       return self.array[loc[0]][loc[1]]

   def __setitem__(					self ,				snake_case_ ,				snake_case_      )		->       None:
       assert self.validate_indicies(snake_case_      )
       UpperCamelCase__         =    value

   def __add__(					self ,				snake_case_      )		->       Matrix:
       assert isinstance(snake_case_ ,				snake_case_      )
       assert self.row == another.row and self.column == another.column

       # Add
       UpperCamelCase__         =    Matrix(self.row ,				self.column      )
       for r in range(self.row      ):
           for c in range(self.column      ):
               UpperCamelCase__         =    self[r, c] + another[r, c]
       return result

   def __neg__(					self      )		->       Matrix:
       UpperCamelCase__         =    Matrix(self.row ,				self.column      )
       for r in range(self.row      ):
           for c in range(self.column      ):
               UpperCamelCase__         =    -self[r, c]
       return result

   def __sub__(					self ,				snake_case_      )		->       Matrix:
       return self + (-another)

   def __mul__(					self ,				snake_case_      )		->       Matrix:

       if isinstance(snake_case_ ,				(int, float)      ):  # Scalar multiplication
           UpperCamelCase__         =    Matrix(self.row ,				self.column      )
           for r in range(self.row      ):
               for c in range(self.column      ):
                   UpperCamelCase__         =    self[r, c] * another
           return result
       elif isinstance(snake_case_ ,				snake_case_      ):  # Matrix multiplication
           assert self.column == another.row
           UpperCamelCase__         =    Matrix(self.row ,				another.column      )
           for r in range(self.row      ):
               for c in range(another.column      ):
                   for i in range(self.column      ):
                       result[r, c] += self[r, i] * another[i, c]
           return result
       else:
           UpperCamelCase__         =    F'Unsupported type given for another ({type(snake_case_      )})'
           raise TypeError(snake_case_      )

   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Matrix:
       UpperCamelCase__         =    Matrix(self.column ,				self.row      )
       for r in range(self.row      ):
           for c in range(self.column      ):
               UpperCamelCase__         =    self[r, c]
       return result







   def 						SCREAMING_SNAKE_CASE__ (					self ,				snake_case_ ,				snake_case_      )		->       Any:
       assert isinstance(snake_case_ ,				snake_case_      ) and isinstance(snake_case_ ,				snake_case_      )
       assert self.row == self.column == u.row == v.row  # u, v should be column vector
       assert u.column == v.column == 1  # u, v should be column vector

       # Calculate
       UpperCamelCase__         =    v.transpose()
       UpperCamelCase__         =    (v_t * self * u)[0, 0] + 1
       if numerator_factor == 0:
           return None  # It's not invertable
       return self - ((self * u) * (v_t * self) * (1.0 / numerator_factor))


# Testing
if __name__ == "__main__":







  def   lowerCAmelCase_( )					->	str:
      """simple docstring"""

      UpperCamelCase__         =    Matrix(3 ,	3 ,	0					)
      for i in range(3					):
          UpperCamelCase__         =    1
      print(F'a^(-1) is {ainv}'					)
      # u, v
      UpperCamelCase__         =    Matrix(3 ,	1 ,	0					)
      UpperCamelCase__         =    1, 2, -3
      UpperCamelCase__         =    Matrix(3 ,	1 ,	0					)
      UpperCamelCase__         =    4, -2, 5
      print(F'u is {u}'					)
      print(F'v is {v}'					)
      print(F'uv^T is {u * v.transpose()}'					)
      # Sherman Morrison
      print(F'(a + uv^T)^(-1) is {ainv.sherman_morrison(_lowerCamelCase ,	_lowerCamelCase					)}'					)







  def   lowerCAmelCase_( )					->	Any:
      """simple docstring"""

      import doctest

      doctest.testmod()





  testa()











"""simple docstring"""





import PIL.Image
import PIL.ImageOps
from packaging import version
from PIL import Image


if version.parse(version.parse(PIL.__version__).base_version) >= version.parse("""9.1.0"""):
  A__					: str=	{
      """linear""": PIL.Image.Resampling.BILINEAR,
      """bilinear""": PIL.Image.Resampling.BILINEAR,
      """bicubic""": PIL.Image.Resampling.BICUBIC,
      """lanczos""": PIL.Image.Resampling.LANCZOS,
      """nearest""": PIL.Image.Resampling.NEAREST,
  }
else:
  A__					: str=	{
      """linear""": PIL.Image.LINEAR,
      """bilinear""": PIL.Image.BILINEAR,
      """bicubic""": PIL.Image.BICUBIC,
      """lanczos""": PIL.Image.LANCZOS,
      """nearest""": PIL.Image.NEAREST,
  }







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    (images / 2 + 0.5).clamp(0 ,	1					)
    UpperCamelCase__         =    images.cpu().permute(0 ,	2 ,	3 ,	1					).float().numpy()
    UpperCamelCase__         =    numpy_to_pil(SCREAMING_SNAKE_CASE					)
    return images







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE					)					->	Optional[int]:
    """simple docstring"""

    if images.ndim == 3:
        UpperCamelCase__         =    images[None, ...]
    UpperCamelCase__         =    (images * 2_55).round().astype('uint8'					)
    if images.shape[-1] == 1:
        # special case for grayscale (single channel) images
        UpperCamelCase__         =    [Image.fromarray(image.squeeze() ,	mode='L'					) for image in images]
    else:
        UpperCamelCase__         =    [Image.fromarray(SCREAMING_SNAKE_CASE					) for image in images]

    return pil_images




