



"""simple docstring"""
from __future__ import annotations

from collections.abc import Iterable
class     lowerCamelCase  :






					'''simple docstring'''





					def __init__(	self:							List[str]						,					snake_case:							str						,					snake_case:							Tuple						)       ->     Tuple:
											snake_case_			:int						=      float(snake_case						), float(snake_case						)






					def __eq__(	self:							Tuple						,					snake_case:							Union[str, Any]						)       ->     int:
											return self.x == other.x and self.y == other.y






					def __ne__(	self:							Any						,					snake_case:							List[Any]						)       ->     List[Any]:
											return not self == other






					def __gt__(	self:							int						,					snake_case:							Optional[Any]						)       ->     List[Any]:
											if self.x > other.x:
																	return True
											elif self.x == other.x:
																	return self.y > other.y
											return False






					def __lt__(	self:							Tuple						,					snake_case:							Union[str, Any]						)       ->     int:
											return not self > other






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






					def __le__(	self:							Optional[int]						,					snake_case:							Dict						)       ->     List[Any]:
											if self.x < other.x:
																	return True
											elif self.x == other.x:
																	return self.y <= other.y
											return False






					def __repr__(	self:							Union[str, Any]						)       ->     Dict:
											return f"""({self.x}, {self.y})"""






					def __hash__(	self:							Dict						)       ->     Union[str, Any]:
											return hash(self.x						)

def        A_  (      _lowercase, ):







						'''simple docstring'''


						snake_case_			: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        A_  (      _lowercase     ):







						'''simple docstring'''


						if not hasattr(_lowercase, """__iter__"""     ):
												snake_case_			:int						=      f"""Expecting an iterable object but got an non-iterable type {points}"""
												raise ValueError(_lowercase     )

						if not points:
												snake_case_			:List[str]						=      f"""Expecting a list of points but got {points}"""
												raise ValueError(_lowercase     )

						return _construct_points(_lowercase     )
def        A_  (      _lowercase, _lowercase, _lowercase     ):







						'''simple docstring'''


						snake_case_			:List[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        A_  (      _lowercase     ):







						'''simple docstring'''


						snake_case_			:Tuple						=      sorted(_validate_input(_lowercase     )     )
						snake_case_			:Optional[int]						=      len(_lowercase     )
						snake_case_			:Union[str, Any]						=      set()

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

																														if det_k > 0:
																																				snake_case_			:Union[str, Any]						=      True
																														elif det_k < 0:
																																				snake_case_			:Tuple						=      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]:
																																										snake_case_			:int						=      False
																																										break

																								if points_left_of_ij and points_right_of_ij:
																														snake_case_			:List[Any]						=      False
																														break

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

						return sorted(_lowercase     )
def        A_  (      _lowercase     ):







						'''simple docstring'''


						snake_case_			:Tuple						=      sorted(_validate_input(_lowercase     )     )
						snake_case_			:Union[str, 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

						snake_case_			:List[str]						=      points[0]
						snake_case_			:Optional[Any]						=      points[n - 1]

						snake_case_			:Tuple						=      {left_most_point, right_most_point}
						snake_case_			:Tuple						=      []
						snake_case_			:Optional[int]						=      []

						for i in range(1, n - 1     ):
												snake_case_			:Optional[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        A_  (      _lowercase, _lowercase, _lowercase, _lowercase     ):







						'''simple docstring'''


						if points:
												snake_case_			:int						=      None
												snake_case_			:List[Any]						=      float("""-inf"""     )
												snake_case_			:Any						=      []

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

																		if det > 0:
																								candidate_points.append(_lowercase     )

																								if det > extreme_point_distance:
																														snake_case_			:int						=      det
																														snake_case_			:Any						=      p

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







						'''simple docstring'''


						snake_case_			:int						=      sorted(_validate_input(_lowercase     )     )
						snake_case_			:int						=      len(_lowercase     )

						snake_case_			:Tuple						=      points[:2]
						for i in range(2, _lowercase     ):
												snake_case_			: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:
																		snake_case_			:int						=      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        A_  (      ):







						'''simple docstring'''


						snake_case_			: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)]
						snake_case_			:Tuple						=      convex_hull_bf(_lowercase     )

						snake_case_			:Tuple						=      convex_hull_recursive(_lowercase     )
						assert results_bf == results_recursive

						snake_case_			:List[str]						=      convex_hull_melkman(_lowercase     )
						assert results_bf == results_melkman

						print(_lowercase     )


if __name__ == "__main__":
						main()





"""simple docstring"""
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxSeqaSeqConfigWithPast
from ...utils import logging


__a     =    logging.get_logger(__name__)

__a     =    {
    "google/long-t5-local-base": "https://huggingface.co/google/long-t5-local-base/blob/main/config.json",
    "google/long-t5-local-large": "https://huggingface.co/google/long-t5-local-large/blob/main/config.json",
    "google/long-t5-tglobal-base": "https://huggingface.co/google/long-t5-tglobal-base/blob/main/config.json",
    "google/long-t5-tglobal-large": "https://huggingface.co/google/long-t5-tglobal-large/blob/main/config.json",
}
class     lowerCamelCase  (      _lowerCAmelCase    ):






					'''simple docstring'''





					_A		:      List[Any]						=					"""longt5"""
					_A		:      Dict						=					["""past_key_values"""]
					_A		:      int						=					{"""hidden_size""": """d_model""", """num_attention_heads""": """num_heads""", """num_hidden_layers""": """num_layers"""}






					def __init__(	self:							str						,					snake_case:							List[Any]=32_128						,					snake_case:							Optional[int]=512						,					snake_case:							Union[str, Any]=64						,					snake_case:							str=2_048						,					snake_case:							Any=6						,					snake_case:							Optional[Any]=None						,					snake_case:							str=8						,					snake_case:							Tuple=127						,					snake_case:							Any=16						,					snake_case:							int=32						,					snake_case:							int=128						,					snake_case:							int=0.1						,					snake_case:							Optional[int]=1E-6						,					snake_case:							List[Any]=1.0						,					snake_case:							Optional[int]="relu"						,					snake_case:							str=True						,					snake_case:							Optional[int]="local"						,					snake_case:							Any=True						,					snake_case:							Tuple=0						,					snake_case:							Any=1						,					**snake_case:							Any						,					)       ->     List[str]:
											snake_case_			:Any						=      vocab_size
											snake_case_			:List[Any]						=      d_model
											snake_case_			:Any						=      d_kv
											snake_case_			:int						=      d_ff
											snake_case_			:Tuple						=      num_layers
											# default = symmetry
											snake_case_			:str						=      num_decoder_layers if num_decoder_layers is not None else self.num_layers
											snake_case_			:Any						=      num_heads
											snake_case_			:str						=      local_radius
											snake_case_			:Optional[int]						=      global_block_size
											snake_case_			:Union[str, Any]						=      relative_attention_num_buckets
											snake_case_			:List[str]						=      relative_attention_max_distance
											snake_case_			:Dict						=      dropout_rate
											snake_case_			:str						=      layer_norm_epsilon
											snake_case_			:str						=      initializer_factor
											snake_case_			:Any						=      feed_forward_proj
											snake_case_			:List[str]						=      encoder_attention_type
											snake_case_			:List[str]						=      use_cache

											snake_case_			:Tuple						=      self.feed_forward_proj.split("""-"""						)
											snake_case_			:Any						=      act_info[-1]
											snake_case_			:Union[str, Any]						=      act_info[0] == """gated"""

											if len(snake_case						) > 1 and act_info[0] != "gated" or len(snake_case						) > 2:
																	raise ValueError(
																	    f"""`feed_forward_proj`: {feed_forward_proj} is not a valid activation function of the dense layer."""
																	    """Please make sure `feed_forward_proj` is of the format `gated-{ACT_FN}` or `{ACT_FN}`, e.g. """
																	    """'gated-gelu' or 'relu'"""						)

											# for backwards compatibility
											if feed_forward_proj == "gated-gelu":
																	snake_case_			:Optional[int]						=      """gelu_new"""

											super().__init__(
											    pad_token_id=snake_case						,					eos_token_id=snake_case						,					is_encoder_decoder=snake_case						,					**snake_case						,					)

class     lowerCamelCase  (      _lowerCAmelCase    ):






					'''simple docstring'''





					@property
					def        lowerCAmelCase_    (	self:							Dict						)       ->     Mapping[str, Mapping[int, str]]:
											snake_case_			:Dict						=      {
											    """input_ids""": {0: """batch""", 1: """encoder_sequence"""},
											    """attention_mask""": {0: """batch""", 1: """encoder_sequence"""},
											}
											if self.use_past:
																	snake_case_			:List[Any]						=      """past_encoder_sequence + sequence"""
																	snake_case_			:List[Any]						=      {0: """batch"""}
																	snake_case_			:List[Any]						=      {0: """batch""", 1: """past_decoder_sequence + sequence"""}
											else:
																	snake_case_			:List[str]						=      {0: """batch""", 1: """decoder_sequence"""}
																	snake_case_			:List[Any]						=      {0: """batch""", 1: """decoder_sequence"""}

											if self.use_past:
																	self.fill_with_past_key_values_(snake_case						,					direction="""inputs"""						)

											return common_inputs






					@property
					def        lowerCAmelCase_    (	self:							List[str]						)       ->     int:
											return 13
