





"""simple docstring"""






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 						lowerCAmelCase       (   snake_case      ,						snake_case				):






       def __init__( self  ):
              super().__init__()

              self.register_buffer('watermark_image'     ,	torch.zeros((62, 62, 4)  )  )
              _UpperCAmelCase			     =  None






       def 				__A			( self     ,	a__     ,	a__=None  ):
              # copied from https://github.com/deep-floyd/IF/blob/b77482e36ca2031cb94dbca1001fc1e6400bf4ab/deepfloyd_if/modules/base.py#L287

              _UpperCAmelCase			     =  images[0].height
              _UpperCAmelCase			     =  images[0].width

              _UpperCAmelCase			     =  sample_size or h

              _UpperCAmelCase			     =  min(h / sample_size     ,	w / sample_size  )
              _UpperCAmelCase     ,				_UpperCAmelCase			     =  (int(h / coef  ), int(w / coef  )) if coef < 1 else (h, w)

              _UpperCAmelCase     ,				_UpperCAmelCase			     =  10_24**2, img_w * img_h
              _UpperCAmelCase			     =  (Sa / Sa) ** 0.5
              _UpperCAmelCase     ,				_UpperCAmelCase     ,				_UpperCAmelCase			     =  int(K * 62  ), img_w - int(14 * K  ), img_h - int(14 * K  )

              if self.watermark_image_as_pil is None:
                     _UpperCAmelCase			     =  self.watermark_image.to(torch.uinta  ).cpu().numpy()
                     _UpperCAmelCase			     =  Image.fromarray(a__     ,	mode='RGBA'  )
                     _UpperCAmelCase			     =  watermark_image

              _UpperCAmelCase			     =  self.watermark_image_as_pil.resize(
                  (wm_size, wm_size)     ,	PIL_INTERPOLATION['bicubic']     ,	reducing_gap=a__  )

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

              return images













"""simple docstring"""






from __future__ import annotations

def    __lowerCamelCase     (							SCREAMING_SNAKE_CASE,SCREAMING_SNAKE_CASE				)		->							list:






       """simple docstring"""




       _UpperCAmelCase			     =  [None] * (len(SCREAMING_SNAKE_CASE				) + len(SCREAMING_SNAKE_CASE				))

       _UpperCAmelCase			     =  0  # pointer to current index for left Half
       _UpperCAmelCase			     =  0  # pointer to current index for the right Half
       _UpperCAmelCase			     =  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]:
                     _UpperCAmelCase			     =  left_half[pointera]
                     pointera += 1
                     index += 1
              else:
                     _UpperCAmelCase			     =  right_half[pointera]
                     pointera += 1
                     index += 1
       while pointera < len(SCREAMING_SNAKE_CASE				):
              _UpperCAmelCase			     =  left_half[pointera]
              pointera += 1
              index += 1

       while pointera < len(SCREAMING_SNAKE_CASE				):
              _UpperCAmelCase			     =  right_half[pointera]
              pointera += 1
              index += 1

       return sorted_array

def    __lowerCamelCase     (							SCREAMING_SNAKE_CASE				)		->							list:






       """simple docstring"""




       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
       _UpperCAmelCase			     =  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
       _UpperCAmelCase			     =  array[:middle]
       _UpperCAmelCase			     =  array[middle:]

       return merge(merge_sort(SCREAMING_SNAKE_CASE				),merge_sort(SCREAMING_SNAKE_CASE				)				)


if __name__ == "__main__":
    import doctest

    doctest.testmod()






