





from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload

class SCREAMING_SNAKE_CASE_ :





					"""simple docstring"""


					def __init__( self	,  _lowerCAmelCase = None	):
										if components is None:
															lowerCamelCase__       =       []
										lowerCamelCase__       =       list(_lowerCAmelCase	)





					def __len__( self	):
										return len(self.__components	)





					def __str__( self	):
										return "(" + ",".join(map(_lowerCAmelCase	,  self.__components	)	) + ")"





					def __add__( self	,  _lowerCAmelCase	):
										lowerCamelCase__       =       len(self	)
										if size == len(_lowerCAmelCase	):
															lowerCamelCase__       =       [self.__components[i] + other.component(_lowerCAmelCase	) for i in range(_lowerCAmelCase	)]
															return Vector(_lowerCAmelCase	)
										else:
															raise Exception("must have the same size"	)





					def __sub__( self	,  _lowerCAmelCase	):
										lowerCamelCase__       =       len(self	)
										if size == len(_lowerCAmelCase	):
															lowerCamelCase__       =       [self.__components[i] - other.component(_lowerCAmelCase	) for i in range(_lowerCAmelCase	)]
															return Vector(_lowerCAmelCase	)
										else:  # error case
															raise Exception("must have the same size"	)





					@overload
					def __mul__( self	,  _lowerCAmelCase	):
										...





					@overload
					def __mul__( self	,  _lowerCAmelCase	):
										...





					def __mul__( self	,  _lowerCAmelCase	):
										if isinstance(_lowerCAmelCase	,  (float, int)	):
															lowerCamelCase__       =       [c * other for c in self.__components]
															return Vector(_lowerCAmelCase	)
										elif isinstance(_lowerCAmelCase	,  _lowerCAmelCase	) and len(self	) == len(_lowerCAmelCase	):
															lowerCamelCase__       =       len(self	)
															lowerCamelCase__       =       [self.__components[i] * other.component(_lowerCAmelCase	) for i in range(_lowerCAmelCase	)]
															return sum(_lowerCAmelCase	)
										else:  # error case
															raise Exception("invalid operand!"	)





					def 					__magic_name__ ( self	):
										return Vector(self.__components	)





					def 					__magic_name__ ( self	,  _lowerCAmelCase	):
										if isinstance(_lowerCAmelCase	,  _lowerCAmelCase	) and -len(self.__components	) <= i < len(self.__components	):
															return self.__components[i]
										else:
															raise Exception("index out of range"	)





					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										assert -len(self.__components	) <= pos < len(self.__components	)
										lowerCamelCase__       =       value





					def 					__magic_name__ ( self	):
										if len(self.__components	) == 0:
															raise Exception("Vector is empty"	)
										lowerCamelCase__       =       [c**2 for c in self.__components]
										return math.sqrt(sum(_lowerCAmelCase	)	)






					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase = False	):
										lowerCamelCase__       =       self * other
										lowerCamelCase__       =       self.euclidean_length() * other.euclidean_length()
										if deg:
															return math.degrees(math.acos(num / den	)	)
										else:
															return math.acos(num / den	)





def    __UpperCamelCase      (    a) ->Vector:
					assert isinstance(a,     a)
					return Vector([0] * dimension)





def    __UpperCamelCase      (    a,     a) ->Vector:
					assert isinstance(a,     a) and (isinstance(a,     a))
					lowerCamelCase__       =       [0] * dimension
					lowerCamelCase__       =       1
					return Vector(a)





def    __UpperCamelCase      (    a,     a,     a) ->Vector:
					assert (
					    isinstance(a,     a)
					    and isinstance(a,     a)
					    and (isinstance(a,     (int, float)))
					)
					return x * scalar + y





def    __UpperCamelCase      (    a,     a,     a) ->Vector:
					random.seed(a)
					lowerCamelCase__       =       [random.randint(a,     a) for _ in range(a)]
					return Vector(a)

class SCREAMING_SNAKE_CASE_ :





					"""simple docstring"""


					def __init__( self	,  _lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										lowerCamelCase__       =       matrix
										lowerCamelCase__       =       w
										lowerCamelCase__       =       h





					def __str__( self	):
										lowerCamelCase__       =       ""
										for i in range(self.__height	):
															ans += "|"
															for j in range(self.__width	):
																				if j < self.__width - 1:
																									ans += str(self.__matrix[i][j]	) + ","
																				else:
																									ans += str(self.__matrix[i][j]	) + "|\n"
										return ans





					def __add__( self	,  _lowerCAmelCase	):
										if self.__width == other.width() and self.__height == other.height():
															lowerCamelCase__       =       []
															for i in range(self.__height	):
																				lowerCamelCase__       =       [
																				    self.__matrix[i][j] + other.component(_lowerCAmelCase	,  _lowerCAmelCase	)
																				    for j in range(self.__width	)
																				]
																				matrix.append(_lowerCAmelCase	)
															return Matrix(_lowerCAmelCase	,  self.__width	,  self.__height	)
										else:
															raise Exception("matrix must have the same dimension!"	)





					def __sub__( self	,  _lowerCAmelCase	):
										if self.__width == other.width() and self.__height == other.height():
															lowerCamelCase__       =       []
															for i in range(self.__height	):
																				lowerCamelCase__       =       [
																				    self.__matrix[i][j] - other.component(_lowerCAmelCase	,  _lowerCAmelCase	)
																				    for j in range(self.__width	)
																				]
																				matrix.append(_lowerCAmelCase	)
															return Matrix(_lowerCAmelCase	,  self.__width	,  self.__height	)
										else:
															raise Exception("matrices must have the same dimension!"	)





					@overload
					def __mul__( self	,  _lowerCAmelCase	):
										...





					@overload
					def __mul__( self	,  _lowerCAmelCase	):
										...





					def __mul__( self	,  _lowerCAmelCase	):
										if isinstance(_lowerCAmelCase	,  _lowerCAmelCase	):  # matrix-vector
															if len(_lowerCAmelCase	) == self.__width:
																				lowerCamelCase__       =       zero_vector(self.__height	)
																				for i in range(self.__height	):
																									lowerCamelCase__       =       [
																									    self.__matrix[i][j] * other.component(_lowerCAmelCase	)
																									    for j in range(self.__width	)
																									]
																									ans.change_component(_lowerCAmelCase	,  sum(_lowerCAmelCase	)	)
																				return ans
															else:
																				raise Exception(
																				    "vector must have the same size as the "
																				    "number of columns of the matrix!"	)
										elif isinstance(_lowerCAmelCase	,  (int, float)	):  # matrix-scalar
															lowerCamelCase__       =       [
															    [self.__matrix[i][j] * other for j in range(self.__width	)]
															    for i in range(self.__height	)
															]
															return Matrix(_lowerCAmelCase	,  self.__width	,  self.__height	)
										return None





					def 					__magic_name__ ( self	):
										return self.__height





					def 					__magic_name__ ( self	):
										return self.__width





					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										if 0 <= x < self.__height and 0 <= y < self.__width:
															return self.__matrix[x][y]
										else:
															raise Exception("change_component: indices out of bounds"	)





					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										if 0 <= x < self.__height and 0 <= y < self.__width:
															lowerCamelCase__       =       value
										else:
															raise Exception("change_component: indices out of bounds"	)





					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										if self.__height != self.__width:
															raise Exception("Matrix is not square"	)
										lowerCamelCase__       =       self.__matrix[:x] + self.__matrix[x + 1 :]
										for i in range(len(_lowerCAmelCase	)	):
															lowerCamelCase__       =       minor[i][:y] + minor[i][y + 1 :]
										return Matrix(_lowerCAmelCase	,  self.__width - 1	,  self.__height - 1	).determinant()





					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase	):
										if self.__height != self.__width:
															raise Exception("Matrix is not square"	)
										if 0 <= x < self.__height and 0 <= y < self.__width:
															return (-1) ** (x + y) * self.minor(_lowerCAmelCase	,  _lowerCAmelCase	)
										else:
															raise Exception("Indices out of bounds"	)






					def 					__magic_name__ ( self	):
										if self.__height != self.__width:
															raise Exception("Matrix is not square"	)
										if self.__height < 1:
															raise Exception("Matrix has no element"	)
										elif self.__height == 1:
															return self.__matrix[0][0]
										elif self.__height == 2:
															return (
															    self.__matrix[0][0] * self.__matrix[1][1]
															    - self.__matrix[0][1] * self.__matrix[1][0]
															)
										else:
															lowerCamelCase__       =       [
															    self.__matrix[0][y] * self.cofactor(0	,  _lowerCAmelCase	) for y in range(self.__width	)
															]
															return sum(_lowerCAmelCase	)





def    __UpperCamelCase      (    a) ->Matrix:
					lowerCamelCase__       =       [[0] * n for _ in range(a)]
					return Matrix(a,     a,     a)







def    __UpperCamelCase      (    a,     a,     a,     a) ->Matrix:
					random.seed(a)
					lowerCamelCase__       =       [
					    [random.randint(a,     a) for _ in range(a)] for _ in range(a)
					]
					return Matrix(a,     a,     a)








from collections import OrderedDict
from typing import TYPE_CHECKING, Any, List, Mapping, Optional, Union

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import TensorType, logging


if TYPE_CHECKING:
						from ...onnx.config import PatchingSpec
						from ...tokenization_utils_base import PreTrainedTokenizerBase


A_												=     logging.get_logger(__name__)

A_												=     {
    "allenai/longformer-base-4096": "https://huggingface.co/allenai/longformer-base-4096/resolve/main/config.json",
    "allenai/longformer-large-4096": "https://huggingface.co/allenai/longformer-large-4096/resolve/main/config.json",
    "allenai/longformer-large-4096-finetuned-triviaqa": (
        "https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/config.json"
    ),
    "allenai/longformer-base-4096-extra.pos.embd.only": (
        "https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/config.json"
    ),
    "allenai/longformer-large-4096-extra.pos.embd.only": (
        "https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/config.json"
    ),
}

class SCREAMING_SNAKE_CASE_ (					lowercase_   ):





					"""simple docstring"""


					A__				 =    "longformer"





					def __init__( self	,  _lowerCAmelCase = 512	,  _lowerCAmelCase = 2	,  _lowerCAmelCase = 1	,  _lowerCAmelCase = 0	,  _lowerCAmelCase = 2	,  _lowerCAmelCase = 3_0522	,  _lowerCAmelCase = 768	,  _lowerCAmelCase = 12	,  _lowerCAmelCase = 12	,  _lowerCAmelCase = 3072	,  _lowerCAmelCase = "gelu"	,  _lowerCAmelCase = 0.1	,  _lowerCAmelCase = 0.1	,  _lowerCAmelCase = 512	,  _lowerCAmelCase = 2	,  _lowerCAmelCase = 0.02	,  _lowerCAmelCase = 1E-12	,  _lowerCAmelCase = False	,  **_lowerCAmelCase	,  ):
										super().__init__(pad_token_id=_lowerCAmelCase	,  **_lowerCAmelCase	)

										lowerCamelCase__       =       attention_window
										lowerCamelCase__       =       sep_token_id
										lowerCamelCase__       =       bos_token_id
										lowerCamelCase__       =       eos_token_id
										lowerCamelCase__       =       vocab_size
										lowerCamelCase__       =       hidden_size
										lowerCamelCase__       =       num_hidden_layers
										lowerCamelCase__       =       num_attention_heads
										lowerCamelCase__       =       hidden_act
										lowerCamelCase__       =       intermediate_size
										lowerCamelCase__       =       hidden_dropout_prob
										lowerCamelCase__       =       attention_probs_dropout_prob
										lowerCamelCase__       =       max_position_embeddings
										lowerCamelCase__       =       type_vocab_size
										lowerCamelCase__       =       initializer_range
										lowerCamelCase__       =       layer_norm_eps
										lowerCamelCase__       =       onnx_export

class SCREAMING_SNAKE_CASE_ (					lowercase_   ):





					"""simple docstring"""


					def __init__( self	,  _lowerCAmelCase	,  _lowerCAmelCase = "default"	,  _lowerCAmelCase = None	):
										super().__init__(_lowerCAmelCase	,  _lowerCAmelCase	,  _lowerCAmelCase	)
										lowerCamelCase__       =       True





					@property
					def 					__magic_name__ ( self	):
										if self.task == "multiple-choice":
															lowerCamelCase__       =       {0: "batch", 1: "choice", 2: "sequence"}
										else:
															lowerCamelCase__       =       {0: "batch", 1: "sequence"}
										return OrderedDict(
										    [
										        ("input_ids", dynamic_axis),
										        ("attention_mask", dynamic_axis),
										        ("global_attention_mask", dynamic_axis),
										    ]	)





					@property
					def 					__magic_name__ ( self	):
										lowerCamelCase__       =       super().outputs
										if self.task == "default":
															lowerCamelCase__       =       {0: "batch"}
										return outputs





					@property
					def 					__magic_name__ ( self	):
										return 1E-4





					@property
					def 					__magic_name__ ( self	):
										# needs to be >= 14 to support tril operator
										return max(super().default_onnx_opset	,  14	)






					def 					__magic_name__ ( self	,  _lowerCAmelCase	,  _lowerCAmelCase = -1	,  _lowerCAmelCase = -1	,  _lowerCAmelCase = False	,  _lowerCAmelCase = None	,  ):
										lowerCamelCase__       =       super().generate_dummy_inputs(
										    preprocessor=_lowerCAmelCase	,  batch_size=_lowerCAmelCase	,  seq_length=_lowerCAmelCase	,  is_pair=_lowerCAmelCase	,  framework=_lowerCAmelCase	)
										import torch

										# for some reason, replacing this code by inputs["global_attention_mask"] = torch.randint(2, inputs["input_ids"].shape, dtype=torch.int64)
										# makes the export fail randomly
										lowerCamelCase__       =       torch.zeros_like(inputs["input_ids"]	)
										# make every second token global
										lowerCamelCase__       =       1

										return inputs

