


'''simple docstring'''






from __future__ import annotations

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




class 			a  (  _SCREAMING_SNAKE_CASE							):
 _lowerCAmelCase			       =						1
 _lowerCAmelCase			       =						2
 _lowerCAmelCase			       =						3
 def __repr__(			self    )       ->				str:
      return f'{self.__class__.__name__}.{self.name}'






def 						_A					(lowerCAmelCase__	:tuple[int, int]					,    lowerCAmelCase__	:int					,    lowerCAmelCase__	:int		) ->	float:




     '''simple docstring'''



     _a   , _a         =				point
     return degrees(atana(y - miny					,    x - minx		)		)






def 						_A					(lowerCAmelCase__	:tuple[int, int]					,    lowerCAmelCase__	:tuple[int, int]					,    lowerCAmelCase__	:tuple[int, int]		) ->	Direction:




     '''simple docstring'''



     _a   , _a         =				starting
     _a   , _a         =				via
     _a   , _a         =				target
     _a         =				degrees(atana(ya - ya					,    xa - xa		)		)
     via_angle %= 3_60
     _a         =				degrees(atana(ya - ya					,    xa - xa		)		)
     target_angle %= 3_60
     # 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 						_A					(lowerCAmelCase__	:list[tuple[int, int]]		) ->	list[tuple[int, int]]:




     '''simple docstring'''



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

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

     _a         =				sorted(lowerCAmelCase__					,    key=lambda lowerCAmelCase__		: angle_comparer(lowerCAmelCase__					,    lowerCAmelCase__					,    lowerCAmelCase__		)		)
     # 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)		)

     _a         =				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.
     _a         =				Direction.left

     for i in range(3					,    len(lowerCAmelCase__		)		):
          while True:
               _a         =				stack[-2]
               _a         =				stack[-1]
               _a         =				sorted_points[i]
               _a         =				check_direction(lowerCAmelCase__					,    lowerCAmelCase__					,    lowerCAmelCase__		)

               if next_direction == Direction.left:
                    _a         =				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(lowerCAmelCase__		)





'''simple docstring'''






from dataclasses import dataclass
from typing import List, Optional, Union

import numpy as np
import PIL
from PIL import Image

from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
 from .image_encoder import PaintByExampleImageEncoder
 from .pipeline_paint_by_example import PaintByExamplePipeline

