'''simple docstring'''






import os
from shutil import copyfile
from typing import List, Optional, Tuple

from ...tokenization_utils_fast import PreTrainedTokenizerFast
from ...utils import is_sentencepiece_available, logging


if is_sentencepiece_available():
    from .tokenization_pegasus import PegasusTokenizer
else:
    SCREAMING_SNAKE_CASE_	   =			None


SCREAMING_SNAKE_CASE_	   =			logging.get_logger(__name__)


SCREAMING_SNAKE_CASE_	   =			'▁'

SCREAMING_SNAKE_CASE_	   =			{'vocab_file': 'spiece.model', 'tokenizer_file': 'tokenizer.json'}

SCREAMING_SNAKE_CASE_	   =			{
    'vocab_file': {'google/pegasus-xsum': 'https://huggingface.co/google/pegasus-xsum/resolve/main/spiece.model'},
    'tokenizer_file': {
        'google/pegasus-xsum': 'https://huggingface.co/google/pegasus-xsum/resolve/main/tokenizer.json'
    },
}

SCREAMING_SNAKE_CASE_	   =			{
    'google/pegasus-xsum': 5_12,
}




class    a (       __lowerCAmelCase				):



  """simple docstring"""
  __lowerCAmelCase				      =					VOCAB_FILES_NAMES
  __lowerCAmelCase				      =					PRETRAINED_VOCAB_FILES_MAP
  __lowerCAmelCase				      =					PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
  __lowerCAmelCase				      =					PegasusTokenizer
  __lowerCAmelCase				      =					["""input_ids""", """attention_mask"""]







  def __init__(							self   ,    snake_case_=None   ,    snake_case_=None   ,    snake_case_="<pad>"   ,    snake_case_="</s>"   ,    snake_case_="<unk>"   ,    snake_case_="<mask_2>"   ,    snake_case_="<mask_1>"   ,    snake_case_=None   ,    snake_case_=103   ,    **snake_case_   ,    ):

    '''simple docstring'''







    __UpperCAmelCase:					List[Any]		= offset

    if additional_special_tokens is not None:
      if not isinstance(snake_case_   ,    snake_case_					):
        raise TypeError(
            F'''additional_special_tokens should be of type {type(snake_case_					)}, but is'''
            F''' {type(snake_case_					)}'''					)

      __UpperCAmelCase:					int		= (
          ([mask_token_sent] + additional_special_tokens)
          if mask_token_sent not in additional_special_tokens and mask_token_sent is not None
          else additional_special_tokens
      )
      # fill additional tokens with ..., <unk_token_102> in case not all additional tokens are already taken
      additional_special_tokens_extended += [
          F'''<unk_{i}>''' for i in range(len(snake_case_					)   ,    self.offset - 1					)
      ]

      if len(set(snake_case_					)					) != len(snake_case_					):
        raise ValueError(
            """Please make sure that the provided additional_special_tokens do not contain an incorrectly"""
            F''' shifted list of <unk_x> tokens. Found {additional_special_tokens_extended}.'''					)
      __UpperCAmelCase:					int		= additional_special_tokens_extended
    else:
      __UpperCAmelCase:					List[Any]		= [mask_token_sent] if mask_token_sent is not None else []
      additional_special_tokens += [F'''<unk_{i}>''' for i in range(2   ,    self.offset					)]

    super().__init__(
        snake_case_   ,    tokenizer_file=snake_case_   ,    pad_token=snake_case_   ,    eos_token=snake_case_   ,    unk_token=snake_case_   ,    mask_token=snake_case_   ,    mask_token_sent=snake_case_   ,    offset=snake_case_   ,    additional_special_tokens=snake_case_   ,    **snake_case_   ,    )
    __UpperCAmelCase:					Tuple		= vocab_file
    __UpperCAmelCase:					str		= False if not self.vocab_file else True







  def    lowercase_  (							self   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					Union[str, Any]		= set(self.all_special_ids					)  # call it once instead of inside list comp
    all_special_ids.remove(self.unk_token_id					)  # <unk> is only sometimes special

    if all_special_ids != set(range(len(self.additional_special_tokens					) + 3					)					):
      raise ValueError(
          """There should be 3 special tokens: mask_token, pad_token, and eos_token +"""
          F''' {len(self.additional_special_tokens					)} additional_special_tokens, but got {all_special_ids}'''					)

    return [1 if x in all_special_ids else 0 for x in seq]







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = None   ,    snake_case_ = False					):

    '''simple docstring'''







    if already_has_special_tokens:
      return self._special_token_mask(snake_case_					)
    elif token_ids_a is None:
      return self._special_token_mask(snake_case_					) + [1]
    else:
      return self._special_token_mask(token_ids_a + token_ids_a					) + [1]







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_=None					):

    '''simple docstring'''







    if token_ids_a is None:
      return token_ids_a + [self.eos_token_id]
    # We don't expect to process pairs, but leave the pair logic for API consistency
    return token_ids_a + token_ids_a + [self.eos_token_id]







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = None					):

    '''simple docstring'''







    if not self.can_save_slow_tokenizer:
      raise ValueError(
          """Your fast tokenizer does not have the necessary information to save the vocabulary for a slow """
          """tokenizer."""					)

    if not os.path.isdir(snake_case_					):
      logger.error(F'''Vocabulary path ({save_directory}) should be a directory'''					)
      return
    __UpperCAmelCase:					List[Any]		= os.path.join(
        snake_case_   ,    (filename_prefix + """-""" if filename_prefix else """""") + VOCAB_FILES_NAMES["""vocab_file"""]					)

    if os.path.abspath(self.vocab_file					) != os.path.abspath(snake_case_					):
      copyfile(self.vocab_file   ,    snake_case_					)

    return (out_vocab_file,)
'''simple docstring'''






from __future__ import annotations

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




class    a :



  """simple docstring"""







  def __init__(							self   ,    snake_case_ = None					):

    '''simple docstring'''







    if components is None:
      __UpperCAmelCase:					List[Any]		= []
    __UpperCAmelCase:					Tuple		= list(snake_case_					)







  def __len__(							self					):

    '''simple docstring'''







    return len(self.__components					)







  def __str__(							self					):

    '''simple docstring'''







    return "(" + ",".join(map(snake_case_   ,    self.__components					)					) + ")"







  def __add__(							self   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					int		= len(self					)
    if size == len(snake_case_					):
      __UpperCAmelCase:					str		= [self.__components[i] + other.component(snake_case_					) for i in range(snake_case_					)]
      return Vector(snake_case_					)
    else:
      raise Exception("""must have the same size"""					)







  def __sub__(							self   ,    snake_case_					):

    '''simple docstring'''







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







  @overload
  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







    ...







  @overload
  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







    ...







  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







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







  def    lowercase_  (							self					):

    '''simple docstring'''







    return Vector(self.__components					)







  def    lowercase_  (							self   ,    snake_case_					):

    '''simple docstring'''







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







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    assert -len(self.__components					) <= pos < len(self.__components					)
    __UpperCAmelCase:					List[str]		= value







  def    lowercase_  (							self					):

    '''simple docstring'''







    if len(self.__components					) == 0:
      raise Exception("""Vector is empty"""					)
    __UpperCAmelCase:					Optional[Any]		= [c**2 for c in self.__components]
    return math.sqrt(sum(snake_case_					)					)







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_ = False					):

    '''simple docstring'''







    __UpperCAmelCase:					List[Any]		= self * other
    __UpperCAmelCase:					Any		= self.euclidean_length() * other.euclidean_length()
    if deg:
      return math.degrees(math.acos(num / den					)					)
    else:
      return math.acos(num / den					)






def  UpperCamelCase__					(					_lowercase    :				int     )							->	Vector:
  assert isinstance(_lowercase   ,    _lowercase     )
  return Vector([0] * dimension     )






def  UpperCamelCase__					(					_lowercase    :				int   ,    _lowercase    :				int     )							->	Vector:
  assert isinstance(_lowercase   ,    _lowercase     ) and (isinstance(_lowercase   ,    _lowercase     ))
  __UpperCAmelCase:					int		= [0] * dimension
  __UpperCAmelCase:					int		= 1
  return Vector(_lowercase     )






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






def  UpperCamelCase__					(					_lowercase    :				int   ,    _lowercase    :				int   ,    _lowercase    :				int     )							->	Vector:
  random.seed(_lowercase     )
  __UpperCAmelCase:					str		= [random.randint(_lowercase   ,    _lowercase     ) for _ in range(_lowercase     )]
  return Vector(_lowercase     )




class    a :



  """simple docstring"""







  def __init__(							self   ,    snake_case_   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    __UpperCAmelCase:					List[str]		= matrix
    __UpperCAmelCase:					Dict		= w
    __UpperCAmelCase:					Tuple		= h







  def __str__(							self					):

    '''simple docstring'''







    __UpperCAmelCase:					Optional[int]		= """"""
    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   ,    snake_case_					):

    '''simple docstring'''







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







  def __sub__(							self   ,    snake_case_					):

    '''simple docstring'''







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







  @overload
  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







    ...







  @overload
  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







    ...







  def __mul__(							self   ,    snake_case_					):

    '''simple docstring'''







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







  def    lowercase_  (							self					):

    '''simple docstring'''







    return self.__height







  def    lowercase_  (							self					):

    '''simple docstring'''







    return self.__width







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    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    lowercase_  (							self   ,    snake_case_   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    if 0 <= x < self.__height and 0 <= y < self.__width:
      __UpperCAmelCase:					int		= value
    else:
      raise Exception("""change_component: indices out of bounds"""					)







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    if self.__height != self.__width:
      raise Exception("""Matrix is not square"""					)
    __UpperCAmelCase:					int		= self.__matrix[:x] + self.__matrix[x + 1 :]
    for i in range(len(snake_case_					)					):
      __UpperCAmelCase:					Optional[Any]		= minor[i][:y] + minor[i][y + 1 :]
    return Matrix(snake_case_   ,    self.__width - 1   ,    self.__height - 1					).determinant()







  def    lowercase_  (							self   ,    snake_case_   ,    snake_case_					):

    '''simple docstring'''







    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(snake_case_   ,    snake_case_					)
    else:
      raise Exception("""Indices out of bounds"""					)







  def    lowercase_  (							self					):

    '''simple docstring'''







    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:
      __UpperCAmelCase:					Any		= [
          self.__matrix[0][y] * self.cofactor(0   ,    snake_case_					) for y in range(self.__width					)
      ]
      return sum(snake_case_					)






def  UpperCamelCase__					(					_lowercase    :				int     )							->	Matrix:
  __UpperCAmelCase:					list[list[float]]		= [[0] * n for _ in range(_lowercase     )]
  return Matrix(_lowercase   ,    _lowercase   ,    _lowercase     )







def  UpperCamelCase__					(					_lowercase    :				int   ,    _lowercase    :				int   ,    _lowercase    :				int   ,    _lowercase    :				int     )							->	Matrix:
  random.seed(_lowercase     )
  __UpperCAmelCase:					list[list[float]]		= [
      [random.randint(_lowercase   ,    _lowercase     ) for _ in range(_lowercase     )] for _ in range(_lowercase     )
  ]
  return Matrix(_lowercase   ,    _lowercase   ,    _lowercase     )