



'''simple docstring'''



from __future__ import annotations

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






class        UpperCAmelCase__						(		_SCREAMING_SNAKE_CASE			):
					a   :  Dict   =				1
					a   :  List[str]   =				2
					a   :  str   =				3



					def __repr__(     self  )  ->      str:
						return F'''{self.__class__.__name__}.{self.name}'''



def 	__lowerCAmelCase       (				lowerCamelCase :    tuple[int, int]					,		lowerCamelCase :    int					,		lowerCamelCase :    int       ):






	'''simple docstring'''




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



def 	__lowerCAmelCase       (				lowerCamelCase :    tuple[int, int]					,		lowerCamelCase :    tuple[int, int]					,		lowerCamelCase :    tuple[int, int]       ):






	'''simple docstring'''




	__lowerCAmelCase				,							__lowerCAmelCase       				=	starting
	__lowerCAmelCase				,							__lowerCAmelCase       				=	via
	__lowerCAmelCase				,							__lowerCAmelCase       				=	target
	__lowerCAmelCase       				=	degrees(atana(ya - ya					,		xa - xa       )       )
	via_angle %= 3_60
	__lowerCAmelCase       				=	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 	__lowerCAmelCase       (				lowerCamelCase :    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
	__lowerCAmelCase       				=	0
	__lowerCAmelCase				,							__lowerCAmelCase       				=	maxsize, maxsize
	for i, point in enumerate(lowerCAmelCase__       ):
		__lowerCAmelCase       				=	point[0]
		__lowerCAmelCase       				=	point[1]
		if y < miny:
			__lowerCAmelCase       				=	y
			__lowerCAmelCase       				=	x
			__lowerCAmelCase       				=	i
		if y == miny and x < minx:
			__lowerCAmelCase       				=	x
			__lowerCAmelCase       				=	i

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

	__lowerCAmelCase       				=	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)       )

	__lowerCAmelCase       				=	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.
	__lowerCAmelCase       				=	Direction.left

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

			if next_direction == Direction.left:
				__lowerCAmelCase       				=	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

