
'''simple docstring'''


from __future__ import annotations


class 						lowercase__	:






   '''simple docstring'''







   def __init__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      UpperCamelCase       =  TypeError(
          '''Matrices must be formed from a list of zero or more lists containing at '''
          '''least one and the same number of values, each of which must be of type '''
          '''int or float.'''   )
      if len(lowerCamelCase__   ) != 0:
         UpperCamelCase       =  len(rows[0]   )
         if cols == 0:
            raise error
         for row in rows:
            if len(lowerCamelCase__   ) != cols:
               raise error
            for value in row:
               if not isinstance(lowerCamelCase__ ,   (int, float)   ):
                  raise error
         UpperCamelCase       =  rows
      else:
         UpperCamelCase       =  []







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return [[row[i] for row in self.rows] for i in range(len(self.rows[0]   )   )]







   @property
   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return len(self.rows   )







   @property
   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return len(self.rows[0]   )







   @property
   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return (self.num_rows, self.num_columns)







   @property
   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return self.order[0] == self.order[1]







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      UpperCamelCase       =  [
          [0 if column_num != row_num else 1 for column_num in range(self.num_rows   )]
          for row_num in range(self.num_rows   )
      ]
      return Matrix(lowerCamelCase__   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      if not self.is_square:
         return 0
      if self.order == (0, 0):
         return 1
      if self.order == (1, 1):
         return int(self.rows[0][0]   )
      if self.order == (2, 2):
         return int(
             (self.rows[0][0] * self.rows[1][1])
             - (self.rows[0][1] * self.rows[1][0])   )
      else:
         return sum(
             self.rows[0][column] * self.cofactors().rows[0][column]
             for column in range(self.num_columns   )   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return bool(self.determinant()   )







   def       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__   ):

      '''simple docstring'''







      UpperCamelCase       =  [
          [
              self.rows[other_row][other_column]
              for other_column in range(self.num_columns   )
              if other_column != column
          ]
          for other_row in range(self.num_rows   )
          if other_row != row
      ]
      return Matrix(lowerCamelCase__   ).determinant()







   def       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__   ):

      '''simple docstring'''







      if (row + column) % 2 == 0:
         return self.get_minor(lowerCamelCase__ ,   lowerCamelCase__   )
      return -1 * self.get_minor(lowerCamelCase__ ,   lowerCamelCase__   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return Matrix(
          [
              [self.get_minor(lowerCamelCase__ ,   lowerCamelCase__   ) for column in range(self.num_columns   )]
              for row in range(self.num_rows   )
          ]   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      return Matrix(
          [
              [
                  self.minors().rows[row][column]
                  if (row + column) % 2 == 0
                  else self.minors().rows[row][column] * -1
                  for column in range(self.minors().num_columns   )
              ]
              for row in range(self.minors().num_rows   )
          ]   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      UpperCamelCase       =  [
          [self.cofactors().rows[column][row] for column in range(self.num_columns   )]
          for row in range(self.num_rows   )
      ]
      return Matrix(lowerCamelCase__   )







   def       UpperCAmelCase				(			self   ):

      '''simple docstring'''







      UpperCamelCase       =  self.determinant()
      if not determinant:
         raise TypeError('''Only matrices with a non-zero determinant have an inverse'''   )
      return self.adjugate() * (1 / determinant)







   def __repr__(			self   ):

      '''simple docstring'''







      return str(self.rows   )







   def __str__(			self   ):

      '''simple docstring'''







      if self.num_rows == 0:
         return "[]"
      if self.num_rows == 1:
         return "[[" + ". ".join(str(self.rows[0]   )   ) + "]]"
      return (
          "["
          + "\n ".join(
              [
                  '''[''' + '''. '''.join([str(lowerCamelCase__   ) for value in row]   ) + '''.]'''
                  for row in self.rows
              ]   )
          + "]"
      )







   def       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__ = None   ):

      '''simple docstring'''







      UpperCamelCase       =  TypeError('''Row must be a list containing all ints and/or floats'''   )
      if not isinstance(lowerCamelCase__ ,   lowerCamelCase__   ):
         raise type_error
      for value in row:
         if not isinstance(lowerCamelCase__ ,   (int, float)   ):
            raise type_error
      if len(lowerCamelCase__   ) != self.num_columns:
         raise ValueError(
             '''Row must be equal in length to the other rows in the matrix'''   )
      if position is None:
         self.rows.append(lowerCamelCase__   )
      else:
         UpperCamelCase       =  self.rows[0:position] + [row] + self.rows[position:]







   def       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__ = None   ):

      '''simple docstring'''







      UpperCamelCase       =  TypeError(
          '''Column must be a list containing all ints and/or floats'''   )
      if not isinstance(lowerCamelCase__ ,   lowerCamelCase__   ):
         raise type_error
      for value in column:
         if not isinstance(lowerCamelCase__ ,   (int, float)   ):
            raise type_error
      if len(lowerCamelCase__   ) != self.num_rows:
         raise ValueError(
             '''Column must be equal in length to the other columns in the matrix'''   )
      if position is None:
         UpperCamelCase       =  [self.rows[i] + [column[i]] for i in range(self.num_rows   )]
      else:
         UpperCamelCase       =  [
             self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
             for i in range(self.num_rows   )
         ]







   def __eq__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      if not isinstance(lowerCamelCase__ ,   lowerCamelCase__   ):
         return NotImplemented
      return self.rows == other.rows







   def __ne__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      return not self == other







   def __neg__(			self   ):

      '''simple docstring'''







      return self * -1







   def __add__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      if self.order != other.order:
         raise ValueError('''Addition requires matrices of the same order'''   )
      return Matrix(
          [
              [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns   )]
              for i in range(self.num_rows   )
          ]   )







   def __sub__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      if self.order != other.order:
         raise ValueError('''Subtraction requires matrices of the same order'''   )
      return Matrix(
          [
              [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns   )]
              for i in range(self.num_rows   )
          ]   )







   def __mul__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      if isinstance(lowerCamelCase__ ,   (int, float)   ):
         return Matrix(
             [[int(element * other   ) for element in row] for row in self.rows]   )
      elif isinstance(lowerCamelCase__ ,   lowerCamelCase__   ):
         if self.num_columns != other.num_rows:
            raise ValueError(
                '''The number of columns in the first matrix must '''
                '''be equal to the number of rows in the second'''   )
         return Matrix(
             [
                 [Matrix.dot_product(lowerCamelCase__ ,   lowerCamelCase__   ) for column in other.columns()]
                 for row in self.rows
             ]   )
      else:
         raise TypeError(
             '''A Matrix can only be multiplied by an int, float, or another matrix'''   )







   def __pow__(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      if not isinstance(lowerCamelCase__ ,   lowerCamelCase__   ):
         raise TypeError('''A Matrix can only be raised to the power of an int'''   )
      if not self.is_square:
         raise ValueError('''Only square matrices can be raised to a power'''   )
      if other == 0:
         return self.identity()
      if other < 0:
         if self.is_invertable():
            return self.inverse() ** (-other)
         raise ValueError(
             '''Only invertable matrices can be raised to a negative power'''   )
      UpperCamelCase       =  self
      for _ in range(other - 1   ):
         result *= self
      return result







   @classmethod
   def       UpperCAmelCase				(			cls ,   lowerCamelCase__ ,   lowerCamelCase__   ):

      '''simple docstring'''







      return sum(row[i] * column[i] for i in range(len(lowerCamelCase__   )   )   )


if __name__ == "__main__":
   import doctest

   doctest.testmod()







'''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:
   snake_case_ :  Dict     =					None


snake_case_ :  int     =					logging.get_logger(__name__)


snake_case_ :  int     =					'▁'

snake_case_ :  Optional[int]     =					{'vocab_file': 'spiece.model', 'tokenizer_file': 'tokenizer.json'}

snake_case_ :  List[Any]     =					{
    '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'
    },
}

snake_case_ :  Tuple     =					{
    'google/pegasus-xsum': 512,
}


class 						lowercase__	(  snake_case_   ):






   '''simple docstring'''







   _snake_case		   =							VOCAB_FILES_NAMES
   _snake_case		   =							PRETRAINED_VOCAB_FILES_MAP
   _snake_case		   =							PRETRAINED_POSITIONAL_EMBEDDINGS_SIZES
   _snake_case		   =							PegasusTokenizer
   _snake_case		   =							['''input_ids''', '''attention_mask''']







   def __init__(			self ,   lowerCamelCase__=None ,   lowerCamelCase__=None ,   lowerCamelCase__="<pad>" ,   lowerCamelCase__="</s>" ,   lowerCamelCase__="<unk>" ,   lowerCamelCase__="<mask_2>" ,   lowerCamelCase__="<mask_1>" ,   lowerCamelCase__=None ,   lowerCamelCase__=1_0_3 ,   **lowerCamelCase__ ,   ):

      '''simple docstring'''







      UpperCamelCase       =  offset

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

         UpperCamelCase       =  (
             ([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(lowerCamelCase__   ) ,   self.offset - 1   )
         ]

         if len(set(lowerCamelCase__   )   ) != len(lowerCamelCase__   ):
            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       =  additional_special_tokens_extended
      else:
         UpperCamelCase       =  [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__(
          lowerCamelCase__ ,   tokenizer_file=lowerCamelCase__ ,   pad_token=lowerCamelCase__ ,   eos_token=lowerCamelCase__ ,   unk_token=lowerCamelCase__ ,   mask_token=lowerCamelCase__ ,   mask_token_sent=lowerCamelCase__ ,   offset=lowerCamelCase__ ,   additional_special_tokens=lowerCamelCase__ ,   **lowerCamelCase__ ,   )
      UpperCamelCase       =  vocab_file
      UpperCamelCase       =  False if not self.vocab_file else True







   def       UpperCAmelCase				(			self ,   lowerCamelCase__   ):

      '''simple docstring'''







      UpperCamelCase       =  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       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__ = None ,   lowerCamelCase__ = False   ):

      '''simple docstring'''







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







   def       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__=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       UpperCAmelCase				(			self ,   lowerCamelCase__ ,   lowerCamelCase__ = 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(lowerCamelCase__   ):
         logger.error(f'Vocabulary path ({save_directory}) should be a directory'   )
         return
      UpperCamelCase       =  os.path.join(
          lowerCamelCase__ ,   (filename_prefix + '''-''' if filename_prefix else '''''') + VOCAB_FILES_NAMES['''vocab_file''']   )

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

      return (out_vocab_file,)





