
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'):
      lowercase__          ={
          '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:
      lowercase__          ={
          'linear': PIL.Image.LINEAR,
          'bilinear': PIL.Image.BILINEAR,
          'bicubic': PIL.Image.BICUBIC,
          'lanczos': PIL.Image.LANCZOS,
          'nearest': PIL.Image.NEAREST,
      }




def        __UpperCamelCase					(    lowerCAmelCase__							:    Union[str, Any]  ):






 """simple docstring"""




 __a			:  int		    =  (images / 2 + 0.5).clamp(0  ,       1  )
 __a			:  Tuple		    =  images.cpu().permute(0  ,       2  ,       3  ,       1  ).float().numpy()
 __a			:  Any		    =  numpy_to_pil(lowerCAmelCase__  )
 return images




def        __UpperCamelCase					(    lowerCAmelCase__							:    List[Any]  ):






 """simple docstring"""




 if images.ndim == 3:
  __a			:  Any		    =  images[None, ...]
 __a			:  Optional[int]		    =  (images * 2_5_5).round().astype('''uint8'''  )
 if images.shape[-1] == 1:
  # special case for grayscale (single channel) images
  __a			:  Tuple		    =  [Image.fromarray(image.squeeze()  ,       mode='''L'''  ) for image in images]
 else:
  __a			:  Optional[int]		    =  [Image.fromarray(lowerCAmelCase__  ) for image in images]

 return pil_images


from math import pi, sqrt




def        __UpperCamelCase					(    lowerCAmelCase__							:    float  ):
 if num <= 0:
  raise ValueError('''math domain error'''  )
 if num > 1_71.5:
  raise OverflowError('''math range error'''  )
 elif num - int(lowerCAmelCase__  ) not in (0, 0.5):
  raise NotImplementedError('''num must be an integer or a half-integer'''  )
 elif num == 0.5:
  return sqrt(lowerCAmelCase__  )
 else:
  return 1.0 if num == 1 else (num - 1) * gamma(num - 1  )




def        __UpperCamelCase					(    ):
 assert gamma(0.5  ) == sqrt(lowerCAmelCase__  )
 assert gamma(1  ) == 1.0
 assert gamma(2  ) == 1.0


if __name__ == "__main__":
      from doctest import testmod

      testmod()
      lowercase__          =1.0
      while num:
            lowercase__          =float(input('Gamma of: '))
            print(F"""gamma({num}) = {gamma(num)}""")
            print('\nEnter 0 to exit...')
