
from __future__ import annotations

from collections.abc import Iterable
class       A__  :





							def __init__(					self    :  List[Any]	,					_UpperCAmelCase    :  Union[str, Any]	,					_UpperCAmelCase    :  List[str]							)		->						Optional[Any]:



											"""simple docstring"""


											__lowercase						,   __lowercase								=   float(_UpperCAmelCase							), float(_UpperCAmelCase							)





							def __eq__(					self    :  int	,					_UpperCAmelCase    :  Optional[int]							)		->						Union[str, Any]:



											"""simple docstring"""


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





							def __ne__(					self    :  List[Any]	,					_UpperCAmelCase    :  Optional[Any]							)		->						Optional[Any]:



											"""simple docstring"""


											return not self == other





							def __gt__(					self    :  Optional[Any]	,					_UpperCAmelCase    :  List[str]							)		->						Dict:



											"""simple docstring"""


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





							def __lt__(					self    :  List[str]	,					_UpperCAmelCase    :  int							)		->						Dict:



											"""simple docstring"""


											return not self > other





							def __ge__(					self    :  Dict	,					_UpperCAmelCase    :  int							)		->						List[str]:



											"""simple docstring"""


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





							def __le__(					self    :  Dict	,					_UpperCAmelCase    :  str							)		->						Tuple:



											"""simple docstring"""


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





							def __repr__(					self    :  str							)		->						Optional[Any]:



											"""simple docstring"""


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





							def __hash__(					self    :  Optional[int]							)		->						Any:



											"""simple docstring"""


											return hash(self.x							)






def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: list[Point] | list[list[float]] | Iterable[list[float]]       ,				)	->		list[Point]:
				__lowercase								=   []
				if list_of_tuples:
								for p in list_of_tuples:
												if isinstance(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     ):
																points.append(SCREAMING_SNAKE_CASE     )
												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  (						SCREAMING_SNAKE_CASE			: list[Point] | list[list[float]]     )	->		list[Point]:

				if not hasattr(SCREAMING_SNAKE_CASE       ,				'__iter__'     ):
								__lowercase								=   F"""Expecting an iterable object but got an non-iterable type {points}"""
								raise ValueError(SCREAMING_SNAKE_CASE     )

				if not points:
								__lowercase								=   F"""Expecting a list of points but got {points}"""
								raise ValueError(SCREAMING_SNAKE_CASE     )

				return _construct_points(SCREAMING_SNAKE_CASE     )




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: Point       ,				SCREAMING_SNAKE_CASE			: Point       ,				SCREAMING_SNAKE_CASE			: Point     )	->		float:
				__lowercase								=   (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  (						SCREAMING_SNAKE_CASE			: list[Point]     )	->		list[Point]:
				__lowercase								=   sorted(_validate_input(SCREAMING_SNAKE_CASE     )     )
				__lowercase								=   len(SCREAMING_SNAKE_CASE     )
				__lowercase								=   set()

				for i in range(n - 1     ):
								for j in range(i + 1       ,				SCREAMING_SNAKE_CASE     ):
												__lowercase								=   __lowercase								=   False
												__lowercase								=   True
												for k in range(SCREAMING_SNAKE_CASE     ):
																if k != i and k != j:
																				__lowercase								=   _det(points[i]       ,				points[j]       ,				points[k]     )

																				if det_k > 0:
																								__lowercase								=   True
																				elif det_k < 0:
																								__lowercase								=   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]:
																												__lowercase								=   False
																												break

																if points_left_of_ij and points_right_of_ij:
																				__lowercase								=   False
																				break

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

				return sorted(SCREAMING_SNAKE_CASE     )




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: list[Point]     )	->		list[Point]:
				__lowercase								=   sorted(_validate_input(SCREAMING_SNAKE_CASE     )     )
				__lowercase								=   len(SCREAMING_SNAKE_CASE     )

				# 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

				__lowercase								=   points[0]
				__lowercase								=   points[n - 1]

				__lowercase								=   {left_most_point, right_most_point}
				__lowercase								=   []
				__lowercase								=   []

				for i in range(1       ,				n - 1     ):
								__lowercase								=   _det(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				points[i]     )

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

				_construct_hull(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     )
				_construct_hull(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     )

				return sorted(SCREAMING_SNAKE_CASE     )




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: list[Point]       ,				SCREAMING_SNAKE_CASE			: Point       ,				SCREAMING_SNAKE_CASE			: Point       ,				SCREAMING_SNAKE_CASE			: set[Point]     )	->		None:
				if points:
								__lowercase								=   None
								__lowercase								=   float('-inf'     )
								__lowercase								=   []

								for p in points:
												__lowercase								=   _det(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     )

												if det > 0:
																candidate_points.append(SCREAMING_SNAKE_CASE     )

																if det > extreme_point_distance:
																				__lowercase								=   det
																				__lowercase								=   p

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




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: list[Point]     )	->		list[Point]:
				__lowercase								=   sorted(_validate_input(SCREAMING_SNAKE_CASE     )     )
				__lowercase								=   len(SCREAMING_SNAKE_CASE     )

				__lowercase								=   points[:2]
				for i in range(2       ,				SCREAMING_SNAKE_CASE     ):
								__lowercase								=   _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:
												__lowercase								=   points[i]
				i += 1

				for j in range(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     ):
								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(SCREAMING_SNAKE_CASE     ) > 3 else convex_hull     )




def 				__SCREAMING_SNAKE_CASE  (						)	->		List[Any]:
				__lowercase								=   [
				    (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)]
				__lowercase								=   convex_hull_bf(SCREAMING_SNAKE_CASE     )

				__lowercase								=   convex_hull_recursive(SCREAMING_SNAKE_CASE     )
				assert results_bf == results_recursive

				__lowercase								=   convex_hull_melkman(SCREAMING_SNAKE_CASE     )
				assert results_bf == results_melkman

				print(SCREAMING_SNAKE_CASE     )


if __name__ == "__main__":
							main()







# Copyright 2023 The HuggingFace Inc. team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ..utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


SCREAMING_SNAKE_CASE__				=							{
    """agents""": ["""Agent""", """AzureOpenAiAgent""", """HfAgent""", """LocalAgent""", """OpenAiAgent"""],
    """base""": ["""PipelineTool""", """RemoteTool""", """Tool""", """launch_gradio_demo""", """load_tool"""],
}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							SCREAMING_SNAKE_CASE__				=							["""DocumentQuestionAnsweringTool"""]
							SCREAMING_SNAKE_CASE__				=							["""ImageCaptioningTool"""]
							SCREAMING_SNAKE_CASE__				=							["""ImageQuestionAnsweringTool"""]
							SCREAMING_SNAKE_CASE__				=							["""ImageSegmentationTool"""]
							SCREAMING_SNAKE_CASE__				=							["""SpeechToTextTool"""]
							SCREAMING_SNAKE_CASE__				=							["""TextClassificationTool"""]
							SCREAMING_SNAKE_CASE__				=							["""TextQuestionAnsweringTool"""]
							SCREAMING_SNAKE_CASE__				=							["""TextSummarizationTool"""]
							SCREAMING_SNAKE_CASE__				=							["""TextToSpeechTool"""]
							SCREAMING_SNAKE_CASE__				=							["""TranslationTool"""]

if TYPE_CHECKING:
							from .agents import Agent, AzureOpenAiAgent, HfAgent, LocalAgent, OpenAiAgent
							from .base import PipelineTool, RemoteTool, Tool, launch_gradio_demo, load_tool

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .document_question_answering import DocumentQuestionAnsweringTool
														from .image_captioning import ImageCaptioningTool
														from .image_question_answering import ImageQuestionAnsweringTool
														from .image_segmentation import ImageSegmentationTool
														from .speech_to_text import SpeechToTextTool
														from .text_classification import TextClassificationTool
														from .text_question_answering import TextQuestionAnsweringTool
														from .text_summarization import TextSummarizationTool
														from .text_to_speech import TextToSpeechTool
														from .translation import TranslationTool
else:
							import sys

							SCREAMING_SNAKE_CASE__				=							_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





