





'''simple docstring'''






from __future__ import annotations

from collections import deque
from enum import Enum
from math import atana, degrees
from sys import maxsize







class       lowerCamelCase       (    lowerCAmelCase_	):
					_SCREAMING_SNAKE_CASE				 =     1
					_SCREAMING_SNAKE_CASE				 =     2
					_SCREAMING_SNAKE_CASE				 =     3


					def __repr__(       self						:	int							):





											'''simple docstring'''





											return f'''{self.__class__.__name__}.{self.name}'''





def    lowercase_   (		lowercase__					,	lowercase__					,	lowercase__    ) ->float:
						_snake_case       ,    _snake_case: Tuple	       =		point
						return degrees(atana(y - miny					,	x - minx    )    )





def    lowercase_   (		lowercase__					,	lowercase__					,	lowercase__    ) ->Direction:
						_snake_case       ,    _snake_case: Optional[int]	       =		starting
						_snake_case       ,    _snake_case: Optional[Any]	       =		via
						_snake_case       ,    _snake_case: Union[str, Any]	       =		target
						_snake_case: int	       =		degrees(atana(ya - ya					,	xa - xa    )    )
						via_angle %= 360
						_snake_case: List[Any]	       =		degrees(atana(ya - ya					,	xa - xa    )    )
						target_angle %= 360
						# t-
						#  \ \
						#   \ v
						#    \|
						#     s
						# via_angle is always lower than target_angle, if direction is left.
						# If they are same, it means they are on a same line of convex hull.
						if target_angle > via_angle:
												return Direction.left
						elif target_angle == via_angle:
												return Direction.straight
						else:
												return Direction.right





def    lowercase_   (		lowercase__    ) ->list[tuple[int, int]]:

						if len(a_    ) <= 2:
												# There is no convex hull
												raise ValueError('graham_scan: argument must contain more than 3 points.'    )
						if len(a_    ) == 3:
												return points
						# find the lowest and the most left point
						_snake_case: Optional[int]	       =		0
						_snake_case       ,    _snake_case: Optional[Any]	       =		maxsize, maxsize
						for i, point in enumerate(a_    ):
												_snake_case: Any	       =		point[0]
												_snake_case: int	       =		point[1]
												if y < miny:
																		_snake_case: Tuple	       =		y
																		_snake_case: int	       =		x
																		_snake_case: str	       =		i
												if y == miny and x < minx:
																		_snake_case: List[Any]	       =		x
																		_snake_case: Union[str, Any]	       =		i

    # remove the lowest and the most left point from points for preparing for sort
						points.pop(a_    )

						_snake_case: Any	       =		sorted(a_					,	key=lambda lowercase__    : angle_comparer(a_					,	a_					,	a_    )    )
						# This insert actually costs complexity,
						# and you should instead add (minx, miny) into stack later.
						# I'm using insert just for easy understanding.
						sorted_points.insert(0					,	(minx, miny)    )

						_snake_case: List[Any]	       =		deque()
						stack.append(sorted_points[0]    )
						stack.append(sorted_points[1]    )
						stack.append(sorted_points[2]    )
						# In any ways, the first 3 points line are towards left.
						# Because we sort them the angle from minx, miny.
						_snake_case: List[Any]	       =		Direction.left

						for i in range(3					,	len(a_    )    ):
												while True:
																		_snake_case: List[str]	       =		stack[-2]
																		_snake_case: Tuple	       =		stack[-1]
																		_snake_case: List[Any]	       =		sorted_points[i]
																		_snake_case: Union[str, Any]	       =		check_direction(a_					,	a_					,	a_    )

																		if next_direction == Direction.left:
																								_snake_case: Optional[Any]	       =		Direction.left
																								break
																		if next_direction == Direction.straight:
																								if current_direction == Direction.left:
																														# We keep current_direction as left.
																														# Because if the straight line keeps as straight,
																														# we want to know if this straight line is towards left.
																														break
																								elif current_direction == Direction.right:
																														# If the straight line is towards right,
																														# every previous points on those straigh line is not convex hull.
																														stack.pop()
																		if next_direction == Direction.right:
																								stack.pop()
												stack.append(sorted_points[i]    )
						return list(a_    )







"""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      __a      (       lowerCAmelCase_					,						lowerCAmelCase_      ):







       def __init__(       self		):



          '''simple docstring'''

          super().__init__()

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







       def  _snake_case      (       self				,lowerCamelCase_				,lowerCamelCase_=None		):



          '''simple docstring'''

          _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 						=       1024**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(lowerCamelCase_				,mode="RGBA"		)
             _UpperCAmelCase 						=       watermark_image

          _UpperCAmelCase 						=       self.watermark_image_as_pil.resize(
              (wm_size, wm_size)				,PIL_INTERPOLATION["bicubic"]				,reducing_gap=lowerCamelCase_		)

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

          return images

