

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


SCREAMING_SNAKE_CASE_						=					{
    'configuration_wav2vec2_conformer': [
        'WAV2VEC2_CONFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'Wav2Vec2ConformerConfig',
    ],
}


try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					SCREAMING_SNAKE_CASE_						=					[
					    'WAV2VEC2_CONFORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
					    'Wav2Vec2ConformerForAudioFrameClassification',
					    'Wav2Vec2ConformerForCTC',
					    'Wav2Vec2ConformerForPreTraining',
					    'Wav2Vec2ConformerForSequenceClassification',
					    'Wav2Vec2ConformerForXVector',
					    'Wav2Vec2ConformerModel',
					    'Wav2Vec2ConformerPreTrainedModel',
					]

if TYPE_CHECKING:
					from .configuration_wavaveca_conformer import (
					    WAV2VEC2_CONFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    WavaVecaConformerConfig,
					)

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_wavaveca_conformer import (
										    WAV2VEC2_CONFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
										    WavaVecaConformerForAudioFrameClassification,
										    WavaVecaConformerForCTC,
										    WavaVecaConformerForPreTraining,
										    WavaVecaConformerForSequenceClassification,
										    WavaVecaConformerForXVector,
										    WavaVecaConformerModel,
										    WavaVecaConformerPreTrainedModel,
										)

else:
					import sys

					SCREAMING_SNAKE_CASE_						=					_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)





from __future__ import annotations

from collections.abc import Iterable

class  a     :


						def __init__(				self  ,    A_  ,    A_		):







										'''simple docstring'''


										_UpperCAmelCase						,							_UpperCAmelCase				:						Optional[Any]       						=			float(A_		), float(A_		)


						def __eq__(				self  ,    A_		):







										'''simple docstring'''


										return self.x == other.x and self.y == other.y


						def __ne__(				self  ,    A_		):







										'''simple docstring'''


										return not self == other


						def __gt__(				self  ,    A_		):







										'''simple docstring'''


										if self.x > other.x:
														return True
										elif self.x == other.x:
														return self.y > other.y
										return False


						def __lt__(				self  ,    A_		):







										'''simple docstring'''


										return not self > other


						def __ge__(				self  ,    A_		):







										'''simple docstring'''


										if self.x > other.x:
														return True
										elif self.x == other.x:
														return self.y >= other.y
										return False


						def __le__(				self  ,    A_		):







										'''simple docstring'''


										if self.x < other.x:
														return True
										elif self.x == other.x:
														return self.y <= other.y
										return False


						def __repr__(				self		):







										'''simple docstring'''


										return f'({self.x}, {self.y})'





						def __hash__(				self		):







										'''simple docstring'''


										return hash(self.x		)







def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point] | list[list[float]] | Iterable[list[float]]     ,					)      ->				list[Point]:
				_UpperCAmelCase				:						list[Point]       						=			[]
				if list_of_tuples:
								for p in list_of_tuples:
												if isinstance(lowerCAmelCase     ,					lowerCAmelCase       ):
																points.append(lowerCAmelCase       )
												else:
																try:
																				points.append(Point(p[0]     ,					p[1]       )       )
																except (IndexError, TypeError):
																				print(
																				    F'Ignoring deformed point {p}. All points'
																				    " must have at least 2 coordinates."       )
				return points

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point] | list[list[float]]       )      ->				list[Point]:

				if not hasattr(lowerCAmelCase     ,					"__iter__"       ):
								_UpperCAmelCase				:						Optional[Any]       						=			F'Expecting an iterable object but got an non-iterable type {points}'
								raise ValueError(lowerCAmelCase       )

				if not points:
								_UpperCAmelCase				:						str       						=			F'Expecting a list of points but got {points}'
								raise ValueError(lowerCAmelCase       )

				return _construct_points(lowerCAmelCase       )

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     Point     ,					lowerCAmelCase:     Point     ,					lowerCAmelCase:     Point       )      ->				float:
				_UpperCAmelCase				:						Union[str, Any]       						=			(a.x * b.y + b.x * c.y + c.x * a.y) - (a.y * b.x + b.y * c.x + c.y * a.x)
				return det

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point]       )      ->				list[Point]:
				_UpperCAmelCase				:						Union[str, Any]       						=			sorted(_validate_input(lowerCAmelCase       )       )
				_UpperCAmelCase				:						Any       						=			len(lowerCAmelCase       )
				_UpperCAmelCase				:						Any       						=			set()

				for i in range(n - 1       ):
								for j in range(i + 1     ,					lowerCAmelCase       ):
												_UpperCAmelCase				:						Optional[int]       						=			False
												_UpperCAmelCase				:						Union[str, Any]       						=			True
												for k in range(lowerCAmelCase       ):
																if k != i and k != j:
																				_UpperCAmelCase				:						Tuple       						=			_det(points[i]     ,					points[j]     ,					points[k]       )

																				if det_k > 0:
																								_UpperCAmelCase				:						str       						=			True
																				elif det_k < 0:
																								_UpperCAmelCase				:						Optional[Any]       						=			True
																				else:
																								# point[i], point[j], point[k] all lie on a straight line
																								# if point[k] is to the left of point[i] or it's to the
																								# right of point[j], then point[i], point[j] cannot be
																								# part of the convex hull of A
																								if points[k] < points[i] or points[k] > points[j]:
																												_UpperCAmelCase				:						Any       						=			False
																												break

																if points_left_of_ij and points_right_of_ij:
																				_UpperCAmelCase				:						int       						=			False
																				break

												if ij_part_of_convex_hull:
																convex_set.update([points[i], points[j]]       )

				return sorted(lowerCAmelCase       )

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point]       )      ->				list[Point]:
				_UpperCAmelCase				:						List[Any]       						=			sorted(_validate_input(lowerCAmelCase       )       )
				_UpperCAmelCase				:						int       						=			len(lowerCAmelCase       )

				# divide all the points into an upper hull and a lower hull
				# the left most point and the right most point are definitely
				# members of the convex hull by definition.
				# use these two anchors to divide all the points into two hulls,
				# an upper hull and a lower hull.

				# all points to the left (above) the line joining the extreme points belong to the
				# upper hull
				# all points to the right (below) the line joining the extreme points below to the
				# lower hull
				# ignore all points on the line joining the extreme points since they cannot be
				# part of the convex hull

				_UpperCAmelCase				:						Tuple       						=			points[0]
				_UpperCAmelCase				:						Optional[Any]       						=			points[n - 1]

				_UpperCAmelCase				:						Optional[Any]       						=			{left_most_point, right_most_point}
				_UpperCAmelCase				:						Tuple       						=			[]
				_UpperCAmelCase				:						Optional[Any]       						=			[]

				for i in range(1     ,					n - 1       ):
								_UpperCAmelCase				:						Optional[int]       						=			_det(lowerCAmelCase     ,					lowerCAmelCase     ,					points[i]       )

								if det > 0:
												upper_hull.append(points[i]       )
								elif det < 0:
												lower_hull.append(points[i]       )

				_construct_hull(lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase       )
				_construct_hull(lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase       )

				return sorted(lowerCAmelCase       )

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point]     ,					lowerCAmelCase:     Point     ,					lowerCAmelCase:     Point     ,					lowerCAmelCase:     set[Point]       )      ->				None:
				if points:
								_UpperCAmelCase				:						List[str]       						=			None
								_UpperCAmelCase				:						Optional[int]       						=			float("-inf"       )
								_UpperCAmelCase				:						Dict       						=			[]

								for p in points:
												_UpperCAmelCase				:						int       						=			_det(lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase       )

												if det > 0:
																candidate_points.append(lowerCAmelCase       )

																if det > extreme_point_distance:
																				_UpperCAmelCase				:						Dict       						=			det
																				_UpperCAmelCase				:						Union[str, Any]       						=			p

								if extreme_point:
												_construct_hull(lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase       )
												convex_set.add(lowerCAmelCase       )
												_construct_hull(lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase     ,					lowerCAmelCase       )

def 							__SCREAMING_SNAKE_CASE							( lowerCAmelCase:     list[Point]       )      ->				list[Point]:
				_UpperCAmelCase				:						int       						=			sorted(_validate_input(lowerCAmelCase       )       )
				_UpperCAmelCase				:						Any       						=			len(lowerCAmelCase       )

				_UpperCAmelCase				:						List[Any]       						=			points[:2]
				for i in range(2     ,					lowerCAmelCase       ):
								_UpperCAmelCase				:						Tuple       						=			_det(convex_hull[1]     ,					convex_hull[0]     ,					points[i]       )
								if det > 0:
												convex_hull.insert(0     ,					points[i]       )
												break
								elif det < 0:
												convex_hull.append(points[i]       )
												break
								else:
												_UpperCAmelCase				:						Optional[int]       						=			points[i]
				i += 1

				for j in range(lowerCAmelCase     ,					lowerCAmelCase       ):
								if (
								    _det(convex_hull[0]     ,					convex_hull[-1]     ,					points[j]       ) > 0
								    and _det(convex_hull[-1]     ,					convex_hull[0]     ,					points[1]       ) < 0
								):
												# The point lies within the convex hull
												continue

								convex_hull.insert(0     ,					points[j]       )
								convex_hull.append(points[j]       )
								while _det(convex_hull[0]     ,					convex_hull[1]     ,					convex_hull[2]       ) >= 0:
												del convex_hull[1]
								while _det(convex_hull[-1]     ,					convex_hull[-2]     ,					convex_hull[-3]       ) <= 0:
												del convex_hull[-2]

    # `convex_hull` is contains the convex hull in circular order
				return sorted(convex_hull[1:] if len(lowerCAmelCase       ) > 3 else convex_hull       )

def 							__SCREAMING_SNAKE_CASE							( )      ->				List[str]:
				_UpperCAmelCase				:						Union[str, Any]       						=			[
				    (0, 3),
				    (2, 2),
				    (1, 1),
				    (2, 1),
				    (3, 0),
				    (0, 0),
				    (3, 3),
				    (2, -1),
				    (2, -4),
				    (1, -3),
				]
				# the convex set of points is
				# [(0, 0), (0, 3), (1, -3), (2, -4), (3, 0), (3, 3)]
				_UpperCAmelCase				:						int       						=			convex_hull_bf(lowerCAmelCase       )

				_UpperCAmelCase				:						Union[str, Any]       						=			convex_hull_recursive(lowerCAmelCase       )
				assert results_bf == results_recursive

				_UpperCAmelCase				:						int       						=			convex_hull_melkman(lowerCAmelCase       )
				assert results_bf == results_melkman

				print(lowerCAmelCase       )


if __name__ == "__main__":
					main()


