


'''simple docstring'''





from __future__ import annotations

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


class 		_SCREAMING_SNAKE_CASE    (	A__    ):
     __SCREAMING_SNAKE_CASE    				=						1
     __SCREAMING_SNAKE_CASE    				=						2
     __SCREAMING_SNAKE_CASE    				=						3


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




def       a__						(		snake_case__				:       List[str]	,      snake_case__				:       Optional[Any]	,      snake_case__				:       List[str]    ):
  _UpperCAmelCase		:       Any       =    point
  return degrees(atana(y - miny	,      x - minx    )    )




def       a__						(		snake_case__				:       str	,      snake_case__				:       Union[str, Any]	,      snake_case__				:       Tuple    ):
  _UpperCAmelCase		:       Optional[Any]       =    starting
  _UpperCAmelCase		:       Tuple       =    via
  _UpperCAmelCase		:       Optional[Any]       =    target
  _UpperCAmelCase		:       List[str]       =    degrees(atana(ya - ya	,      xa - xa    )    )
  via_angle %= 360
  _UpperCAmelCase		:       int       =    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       a__						(		snake_case__				:       str    ):

  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
  _UpperCAmelCase		:       Any       =    0
  _UpperCAmelCase		:       Optional[int]       =    maxsize, maxsize
  for i, point in enumerate(__lowerCAmelCase    ):
    _UpperCAmelCase		:       List[str]       =    point[0]
    _UpperCAmelCase		:       Any       =    point[1]
    if y < miny:
      _UpperCAmelCase		:       str       =    y
      _UpperCAmelCase		:       int       =    x
      _UpperCAmelCase		:       List[str]       =    i
    if y == miny and x < minx:
      _UpperCAmelCase		:       Any       =    x
      _UpperCAmelCase		:       Union[str, Any]       =    i

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

  _UpperCAmelCase		:       List[Any]       =    sorted(__lowerCAmelCase	,      key=lambda snake_case__    : 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)    )

  _UpperCAmelCase		:       deque[tuple[int, int]]       =    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.
  _UpperCAmelCase		:       Dict       =    Direction.left

  for i in range(3	,      len(__lowerCAmelCase    )    ):
    while True:
      _UpperCAmelCase		:       Dict       =    stack[-2]
      _UpperCAmelCase		:       List[str]       =    stack[-1]
      _UpperCAmelCase		:       List[str]       =    sorted_points[i]
      _UpperCAmelCase		:       Optional[int]       =    check_direction(__lowerCAmelCase	,      __lowerCAmelCase	,      __lowerCAmelCase    )

      if next_direction == Direction.left:
        _UpperCAmelCase		:       Dict       =    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    )









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 		_SCREAMING_SNAKE_CASE    (	A    ):
     __SCREAMING_SNAKE_CASE    				=						{
         '''sld_warmup_steps''': 1_5,
         '''sld_guidance_scale''': 2_0,
         '''sld_threshold''': 0.0,
         '''sld_momentum_scale''': 0.0,
         '''sld_mom_beta''': 0.0,
     }
     __SCREAMING_SNAKE_CASE    				=						{
         '''sld_warmup_steps''': 1_0,
         '''sld_guidance_scale''': 1_0_0_0,
         '''sld_threshold''': 0.01,
         '''sld_momentum_scale''': 0.3,
         '''sld_mom_beta''': 0.4,
     }
     __SCREAMING_SNAKE_CASE    				=						{
         '''sld_warmup_steps''': 7,
         '''sld_guidance_scale''': 2_0_0_0,
         '''sld_threshold''': 0.025,
         '''sld_momentum_scale''': 0.5,
         '''sld_mom_beta''': 0.7,
     }
     __SCREAMING_SNAKE_CASE    				=						{
         '''sld_warmup_steps''': 0,
         '''sld_guidance_scale''': 5_0_0_0,
         '''sld_threshold''': 1.0,
         '''sld_momentum_scale''': 0.5,
         '''sld_mom_beta''': 0.7,
     }


@dataclass
class 		_SCREAMING_SNAKE_CASE    (	A    ):
     __SCREAMING_SNAKE_CASE    				=						42
     __SCREAMING_SNAKE_CASE    				=						42
     __SCREAMING_SNAKE_CASE    				=						42
     __SCREAMING_SNAKE_CASE    				=						42


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





