


"""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	(   __snake_case       ):
				lowerCamelCase    :					List[str] 					=1
				lowerCamelCase    :					int 					=2
				lowerCamelCase    :					List[Any] 					=3







				def __repr__(   self      ):

							'''simple docstring'''






							return F"""{self.__class__.__name__}.{self.name}"""




def     UpperCAmelCase    (					_lowercase   :      tuple[int, int] ,      _lowercase   :      int ,      _lowercase   :      int  )	->   float:


			"""simple docstring"""




			lowerCAmelCase_       ,  lowerCAmelCase_			       = point
			return degrees(atana(y - miny ,      x - minx  )  )
def     UpperCAmelCase    (					_lowercase   :      tuple[int, int] ,      _lowercase   :      tuple[int, int] ,      _lowercase   :      tuple[int, int]  )	->   Direction:


			"""simple docstring"""




			lowerCAmelCase_       ,  lowerCAmelCase_			       = starting
			lowerCAmelCase_       ,  lowerCAmelCase_			       = via
			lowerCAmelCase_       ,  lowerCAmelCase_			       = target
			lowerCAmelCase_			       = degrees(atana(ya - ya ,      xa - xa  )  )
			via_angle %= 3_6_0
			lowerCAmelCase_			       = degrees(atana(ya - ya ,      xa - xa  )  )
			target_angle %= 3_6_0
			# 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     UpperCAmelCase    (					_lowercase   :      list[tuple[int, int]]  )	->   list[tuple[int, int]]:


			"""simple docstring"""




			if len(_lowercase  ) <= 2:
						# There is no convex hull
						raise ValueError('''graham_scan: argument must contain more than 3 points.'''  )
			if len(_lowercase  ) == 3:
						return points
			# find the lowest and the most left point
			lowerCAmelCase_			       = 0
			lowerCAmelCase_       ,  lowerCAmelCase_			       = maxsize, maxsize
			for i, point in enumerate(_lowercase  ):
						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(_lowercase  )

			lowerCAmelCase_			       = sorted(_lowercase ,      key=lambda _lowercase  : angle_comparer(_lowercase ,      _lowercase ,      _lowercase  )  )
			# 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(_lowercase  )  ):
						while True:
									lowerCAmelCase_			       = stack[-2]
									lowerCAmelCase_			       = stack[-1]
									lowerCAmelCase_			       = sorted_points[i]
									lowerCAmelCase_			       = check_direction(_lowercase ,      _lowercase ,      _lowercase  )

									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(_lowercase  )



"""simple docstring"""



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

import numpy as np
import PIL
from PIL import Image

from ...utils import BaseOutput, is_torch_available, is_transformers_available







@dataclass
class       __a	(   __snake_case       ):
				lowerCamelCase    :					int 					={
				    'sld_warmup_steps': 15,
				    'sld_guidance_scale': 20,
				    'sld_threshold': 0.0,
				    'sld_momentum_scale': 0.0,
				    'sld_mom_beta': 0.0,
				}
				lowerCamelCase    :					Optional[Any] 					={
				    'sld_warmup_steps': 10,
				    'sld_guidance_scale': 1000,
				    'sld_threshold': 0.01,
				    'sld_momentum_scale': 0.3,
				    'sld_mom_beta': 0.4,
				}
				lowerCamelCase    :					List[str] 					={
				    'sld_warmup_steps': 7,
				    'sld_guidance_scale': 2000,
				    'sld_threshold': 0.025,
				    'sld_momentum_scale': 0.5,
				    'sld_mom_beta': 0.7,
				}
				lowerCamelCase    :					Any 					={
				    'sld_warmup_steps': 0,
				    'sld_guidance_scale': 5000,
				    'sld_threshold': 1.0,
				    'sld_momentum_scale': 0.5,
				    'sld_mom_beta': 0.7,
				}







@dataclass
class       __a	(   __snake_case       ):
				lowerCamelCase    :					Union[List[PIL.Image.Image], np.ndarray]
				lowerCamelCase    :					Optional[List[bool]]
				lowerCamelCase    :					Optional[Union[List[PIL.Image.Image], np.ndarray]]
				lowerCamelCase    :					Optional[str]


if is_transformers_available() and is_torch_available():
		from .pipeline_stable_diffusion_safe import StableDiffusionPipelineSafe
		from .safety_checker import SafeStableDiffusionSafetyChecker