

'''simple docstring'''

# This test is meant to be run in on an instance with TPUs like this:
#
#   python examples/pytorch/xla_spawn.py --num_cores=8 tests/test_trainer_tpu.py
#
# Replace 8 with the number of TPU cores you have.
#

import sys
from typing import Dict

from transformers import EvalPrediction, HfArgumentParser, TrainingArguments, is_torch_available
from transformers.utils import logging


lowerCAmelCase_     =      logging.get_logger(__name__)


if is_torch_available():
						import torch
						from torch import nn
						from torch.utils.data import Dataset

						from transformers import Trainer







						class lowerCamelCase   (    __lowerCAmelCase				):

										def __init__(       self,						lowercase_ = 101 )    ->							Optional[Any]:
											snake_case							=					length

										def __len__(       self )    ->							str:
											return self.length






										def __getitem__(       self,						lowercase_ )    ->							int:
											return i







						class lowerCamelCase   :

										def __call__(       self,						lowercase_ )    ->							Optional[int]:
											return {"input_ids": torch.tensor(lowercase_ ), "labels": torch.tensor(lowercase_ )}







						class lowerCamelCase   (    nn.Module				):

										def __init__(       self )    ->							List[str]:
											super().__init__()
											# Add some (unused) params otherwise DDP will complain.
											snake_case							=					nn.Linear(120,						80 )






										def 					_lowerCamelCase    (       self,						lowercase_,						lowercase_=None )    ->							Any:
											if labels is not None:
												return torch.tensor(0.0,						device=input_ids.device ), input_ids
											else:
												return input_ids

def      __magic_name__							(			)      ->		List[str]:
	snake_case							=					HfArgumentParser((TrainingArguments,)				)
	sys.argv += ["--output_dir", "./examples"]
	snake_case							=					parser.parse_args_into_dataclasses()[0]

	logger.warning(
	    F'''Process rank: {training_args.local_rank}, device: {training_args.device}, '''
	    F'''tpu_num_cores: {training_args.tpu_num_cores}'''       , )

	# Essentially, what we want to verify in the distributed case is
	# that we get all samples back, in the right order.
	# (this is crucial for prediction for instance)
	for dataset_length in [1_0_0_1, 2_5_6, 1_5]:
		snake_case							=					DummyDataset(A				)

		def compute_metrics(A				) -> Dict:
			snake_case							=					list(range(len(A				)				)				)
			snake_case							=					p.predictions.tolist() == sequential and p.label_ids.tolist() == sequential
			return {"success": success}

		snake_case							=					Trainer(
		    model=DummyModel()       , args=A       , data_collator=DummyDataCollator()       , eval_dataset=A       , compute_metrics=A       , )
		snake_case							=					trainer.evaluate()
		logger.info(A				)
		if metrics["eval_success"] is not True:
			logger.error(A				)
			exit(1				)

		snake_case							=					trainer.predict(A				)
		logger.info(p.metrics				)
		if p.metrics["test_success"] is not True:
			logger.error(p.metrics				)
			exit(1				)

		snake_case							=					2

		snake_case							=					trainer.evaluate()
		logger.info(A				)
		if metrics["eval_success"] is not True:
			logger.error(A				)
			exit(1				)

		snake_case							=					trainer.predict(A				)
		logger.info(p.metrics				)
		if p.metrics["test_success"] is not True:
			logger.error(p.metrics				)
			exit(1				)

		snake_case							=					None

	logger.info('🔥 All distributed tests successful'				)

def      __magic_name__							(			A				)      ->		Optional[int]:
	# For xla_spawn (TPUs)
	main()


if __name__ == "__main__":
						main()










'''simple docstring'''




from __future__ import annotations

from collections.abc import Iterable

class      UpperCamelCase_					:





	def __init__(    self						,						A						,						A       )     ->     int:
								UpperCAmelCase	,	UpperCAmelCase	:						Any					=						float(A       ), float(A       )





	def __eq__(    self						,						A       )     ->     str:
								return self.x == other.x and self.y == other.y





	def __ne__(    self						,						A       )     ->     Dict:
								return not self == other





	def __gt__(    self						,						A       )     ->     Dict:
								if self.x > other.x:
															return True
								elif self.x == other.x:
															return self.y > other.y
								return False





	def __lt__(    self						,						A       )     ->     str:
								return not self > other





	def __ge__(    self						,						A       )     ->     Union[str, Any]:
								if self.x > other.x:
															return True
								elif self.x == other.x:
															return self.y >= other.y
								return False





	def __le__(    self						,						A       )     ->     List[str]:
								if self.x < other.x:
															return True
								elif self.x == other.x:
															return self.y <= other.y
								return False





	def __repr__(    self       )     ->     Tuple:
								return f'''({self.x}, {self.y})'''






	def __hash__(    self       )     ->     List[str]:
								return hash(self.x       )




def  __lowerCamelCase    (   _lowercase      ,							) ->     list[Point]:
							UpperCAmelCase	:						list[Point]					=						[]
							if list_of_tuples:
														for p in list_of_tuples:
																					if isinstance(_lowercase      ,							_lowercase						):
																												points.append(_lowercase						)
																					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  __lowerCamelCase    (   _lowercase						) ->     list[Point]:

							if not hasattr(_lowercase      ,							"""__iter__"""						):
														UpperCAmelCase	:						List[str]					=						F'''Expecting an iterable object but got an non-iterable type {points}'''
														raise ValueError(_lowercase						)

							if not points:
														UpperCAmelCase	:						Optional[int]					=						F'''Expecting a list of points but got {points}'''
														raise ValueError(_lowercase						)

							return _construct_points(_lowercase						)



def  __lowerCamelCase    (   _lowercase      ,							_lowercase      ,							_lowercase						) ->     float:
							UpperCAmelCase	:						Dict					=						(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  __lowerCamelCase    (   _lowercase						) ->     list[Point]:
							UpperCAmelCase	:						Optional[int]					=						sorted(_validate_input(_lowercase						)						)
							UpperCAmelCase	:						int					=						len(_lowercase						)
							UpperCAmelCase	:						Any					=						set()

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

																																			if det_k > 0:
																																										UpperCAmelCase	:						Optional[int]					=						True
																																			elif det_k < 0:
																																										UpperCAmelCase	:						int					=						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	:						List[Any]					=						False
																																																	break

																												if points_left_of_ij and points_right_of_ij:
																																			UpperCAmelCase	:						Union[str, Any]					=						False
																																			break

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

							return sorted(_lowercase						)



def  __lowerCamelCase    (   _lowercase						) ->     list[Point]:
							UpperCAmelCase	:						List[str]					=						sorted(_validate_input(_lowercase						)						)
							UpperCAmelCase	:						Optional[Any]					=						len(_lowercase						)

							# 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	:						List[str]					=						points[0]
							UpperCAmelCase	:						Union[str, Any]					=						points[n - 1]

							UpperCAmelCase	:						int					=						{left_most_point, right_most_point}
							UpperCAmelCase	:						Dict					=						[]
							UpperCAmelCase	:						Any					=						[]

							for i in range(1      ,							n - 1						):
														UpperCAmelCase	:						Any					=						_det(_lowercase      ,							_lowercase      ,							points[i]						)

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

							_construct_hull(_lowercase      ,							_lowercase      ,							_lowercase      ,							_lowercase						)
							_construct_hull(_lowercase      ,							_lowercase      ,							_lowercase      ,							_lowercase						)

							return sorted(_lowercase						)



def  __lowerCamelCase    (   _lowercase      ,							_lowercase      ,							_lowercase      ,							_lowercase						) ->     None:
							if points:
														UpperCAmelCase	:						Union[str, Any]					=						None
														UpperCAmelCase	:						int					=						float("""-inf"""						)
														UpperCAmelCase	:						Tuple					=						[]

														for p in points:
																					UpperCAmelCase	:						List[Any]					=						_det(_lowercase      ,							_lowercase      ,							_lowercase						)

																					if det > 0:
																												candidate_points.append(_lowercase						)

																												if det > extreme_point_distance:
																																			UpperCAmelCase	:						List[str]					=						det
																																			UpperCAmelCase	:						Optional[Any]					=						p

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



def  __lowerCamelCase    (   _lowercase						) ->     list[Point]:
							UpperCAmelCase	:						Any					=						sorted(_validate_input(_lowercase						)						)
							UpperCAmelCase	:						Union[str, Any]					=						len(_lowercase						)

							UpperCAmelCase	:						Dict					=						points[:2]
							for i in range(2      ,							_lowercase						):
														UpperCAmelCase	:						Dict					=						_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	:						Dict					=						points[i]
							i += 1

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



def  __lowerCamelCase    (   ) ->     Tuple:
							UpperCAmelCase	:						Tuple					=						[
							    (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	:						Tuple					=						convex_hull_bf(_lowercase						)

							UpperCAmelCase	:						List[Any]					=						convex_hull_recursive(_lowercase						)
							assert results_bf == results_recursive

							UpperCAmelCase	:						Union[str, Any]					=						convex_hull_melkman(_lowercase						)
							assert results_bf == results_melkman

							print(_lowercase						)


if __name__ == "__main__":
							main()

