




from typing import List

import PIL
import torch
from PIL import Image

from ...configuration_utils import ConfigMixin
from ...models.modeling_utils import ModelMixin
from ...utils import PIL_INTERPOLATION




class 	UpperCamelCase__			(lowerCAmelCase__					,       lowerCAmelCase__  ):

    '''simple docstring'''



    def __init__(					self  )  ->   List[str]:
           super().__init__()

           self.register_buffer("watermark_image"  ,						torch.zeros((62, 62, 4)  )  )
           lowerCamelCase     :   Any    				=      None







    def 					_lowercase  (					self  ,						UpperCamelCase__  ,						UpperCamelCase__=None  )  ->   List[Any]:
           # copied from https://github.com/deep-floyd/IF/blob/b77482e36ca2031cb94dbca1001fc1e6400bf4ab/deepfloyd_if/modules/base.py#L287

           lowerCamelCase     :   Optional[int]    				=      images[0].height
           lowerCamelCase     :   List[Any]    				=      images[0].width

           lowerCamelCase     :   Dict    				=      sample_size or h

           lowerCamelCase     :   Optional[Any]    				=      min(h / sample_size  ,						w / sample_size  )
           lowerCamelCase				,   lowerCamelCase     :   int    				=      (int(h / coef  ), int(w / coef  )) if coef < 1 else (h, w)

           lowerCamelCase				,   lowerCamelCase     :   Tuple    				=      1024**2, img_w * img_h
           lowerCamelCase     :   str    				=      (Sa / Sa) ** 0.5
           lowerCamelCase				,   lowerCamelCase				,   lowerCamelCase     :   str    				=      int(K * 62  ), img_w - int(14 * K  ), img_h - int(14 * K  )

           if self.watermark_image_as_pil is None:
                  lowerCamelCase     :   Optional[int]    				=      self.watermark_image.to(torch.uinta  ).cpu().numpy()
                  lowerCamelCase     :   Union[str, Any]    				=      Image.fromarray(UpperCamelCase__  ,						mode="RGBA"  )
                  lowerCamelCase     :   Union[str, Any]    				=      watermark_image

           lowerCamelCase     :   Tuple    				=      self.watermark_image_as_pil.resize(
               (wm_size, wm_size)  ,						PIL_INTERPOLATION["bicubic"]  ,						reducing_gap=UpperCamelCase__  )

           for pil_img in images:
                  pil_img.paste(UpperCamelCase__  ,						box=(wm_x - wm_size, wm_y - wm_size, wm_x, wm_y)  ,						mask=wm_img.split()[-1]  )

           return images












from __future__ import annotations

def   A   (   _SCREAMING_SNAKE_CASE				,_SCREAMING_SNAKE_CASE					)			->				list:
       lowerCamelCase     :   int    				=      [None] * (len(_SCREAMING_SNAKE_CASE					) + len(_SCREAMING_SNAKE_CASE					))

       lowerCamelCase     :   Any    				=      0  # pointer to current index for left Half
       lowerCamelCase     :   int    				=      0  # pointer to current index for the right Half
       lowerCamelCase     :   Optional[int]    				=      0  # pointer to current index for the sorted array Half

       while pointera < len(_SCREAMING_SNAKE_CASE					) and pointera < len(_SCREAMING_SNAKE_CASE					):
              if left_half[pointera] < right_half[pointera]:
                     lowerCamelCase     :   Any    				=      left_half[pointera]
                     pointera += 1
                     index += 1
              else:
                     lowerCamelCase     :   Any    				=      right_half[pointera]
                     pointera += 1
                     index += 1
       while pointera < len(_SCREAMING_SNAKE_CASE					):
              lowerCamelCase     :   Optional[Any]    				=      left_half[pointera]
              pointera += 1
              index += 1

       while pointera < len(_SCREAMING_SNAKE_CASE					):
              lowerCamelCase     :   str    				=      right_half[pointera]
              pointera += 1
              index += 1

       return sorted_array

def   A   (   _SCREAMING_SNAKE_CASE					)			->				list:
       if len(_SCREAMING_SNAKE_CASE					) <= 1:
              return array
       # the actual formula to calculate the middle element = left + (right - left) // 2
       # this avoids integer overflow in case of large N
       lowerCamelCase     :   int    				=      0 + (len(_SCREAMING_SNAKE_CASE					) - 0) // 2

       # Split the array into halves till the array length becomes equal to One
       # merge the arrays of single length returned by mergeSort function and
       # pass them into the merge arrays function which merges the array
       lowerCamelCase     :   Optional[Any]    				=      array[:middle]
       lowerCamelCase     :   Optional[Any]    				=      array[middle:]

       return merge(merge_sort(_SCREAMING_SNAKE_CASE					)				,merge_sort(_SCREAMING_SNAKE_CASE					)					)


if __name__ == "__main__":
       import doctest

       doctest.testmod()






