

"""simple docstring"""






import json
import os
import unittest

from transformers import MgpstrTokenizer
from transformers.models.mgp_str.tokenization_mgp_str import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin







@require_tokenizers
class 	__UpperCamelCase    (    a__							,							unittest.TestCase						):
  _UpperCAmelCase          =		MgpstrTokenizer
  _UpperCAmelCase          =		False
  _UpperCAmelCase          =		{}
  _UpperCAmelCase          =		False

  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      super().setUp()

      # fmt: off
      _lowerCAmelCase       :   List[Any]  =    ['[GO]', '[s]', '0', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r', 's', 't', 'u', 'v', 'w', 'x', 'y', 'z']
      # fmt: on
      _lowerCAmelCase       :   List[str]  =    dict(zip(_A    ,range(len(_A      )      )      )      )

      _lowerCAmelCase       :   Optional[Any]  =    os.path.join(self.tmpdirname    ,VOCAB_FILES_NAMES['vocab_file']      )
      with open(self.vocab_file    ,'w'    ,encoding='utf-8'      ) as fp:
          fp.write(json.dumps(_A      ) + '\n'      )

  def __lowerCamelCase		(		self    ,**_A      ):
      '''simple docstring'''

      return MgpstrTokenizer.from_pretrained(self.tmpdirname    ,**_A      )

  def __lowerCamelCase		(		self    ,_A      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Optional[Any]  =    'tester'
      _lowerCAmelCase       :   Tuple  =    'tester'
      return input_text, output_text

  @unittest.skip('MGP-STR always lower cases letters.'      )
  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      pass

  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   Union[str, Any]  =    self.get_tokenizers(do_lower_case=_A      )
      for tokenizer in tokenizers:
          with self.subTest(F"""{tokenizer.__class__.__name__}"""      ):
              _lowerCAmelCase       :   List[str]  =    '[SPECIAL_TOKEN]'

              tokenizer.add_special_tokens({'cls_token': special_token}      )
              _lowerCAmelCase       :   Dict  =    tokenizer.encode([special_token]    ,add_special_tokens=_A      )
              self.assertEqual(len(_A      )    ,1      )

              _lowerCAmelCase       :   Dict  =    tokenizer.decode(_A    ,skip_special_tokens=_A      )
              self.assertTrue(special_token not in decoded      )

  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      _lowerCAmelCase       :   List[str]  =    self.get_tokenizers()
      for tokenizer in tokenizers:
          with self.subTest(F"""{tokenizer.__class__.__name__}"""      ):
              _lowerCAmelCase,					_lowerCAmelCase       :   Tuple  =    self.get_input_output_texts(_A      )

              _lowerCAmelCase       :   Dict  =    tokenizer.tokenize(_A      )
              _lowerCAmelCase       :   List[Any]  =    tokenizer.convert_tokens_to_ids(_A      )
              _lowerCAmelCase       :   Union[str, Any]  =    tokenizer.encode(_A    ,add_special_tokens=_A      )
              self.assertListEqual(_A    ,_A      )

              _lowerCAmelCase       :   int  =    tokenizer.convert_ids_to_tokens(_A      )
              self.assertNotEqual(len(_A      )    ,0      )
              _lowerCAmelCase       :   int  =    tokenizer.decode(_A      )
              self.assertIsInstance(_A    ,_A      )

              self.assertEqual(text_a.replace(' '    ,''      )    ,_A      )

  @unittest.skip('MGP-STR tokenizer only handles one sequence.'      )
  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      pass







  @unittest.skip('inputs cannot be pretokenized in MgpstrTokenizer'      )
  def __lowerCamelCase		(		self      ):
      '''simple docstring'''

      pass








"""simple docstring"""






from __future__ import annotations

from collections.abc import Callable

_lowerCAmelCase						=		list[list[float | int]]

def 		lowerCamelCase__		(					_lowerCamelCase ,   _lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   int  =    len(_lowerCamelCase   )
    _lowerCAmelCase       :   Matrix  =    [[0 for _ in range(size + 1   )] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   float

    for row in range(_lowerCamelCase   ):
        for col in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   Union[str, Any]  =    matrix[row][col]

        _lowerCAmelCase       :   Tuple  =    vector[row][0]

    _lowerCAmelCase       :   Dict  =    0
    _lowerCAmelCase       :   Any  =    0
    while row < size and col < size:
        # pivoting
        _lowerCAmelCase       :   Optional[int]  =    max((abs(augmented[rowa][col]   ), rowa) for rowa in range(_lowerCamelCase ,   _lowerCamelCase   )   )[
            1
        ]
        if augmented[pivot_row][col] == 0:
            col += 1
            continue
        else:
            _lowerCAmelCase,					_lowerCAmelCase       :   Tuple  =    augmented[pivot_row], augmented[row]

        for rowa in range(row + 1 ,   _lowerCamelCase   ):
            _lowerCAmelCase       :   Dict  =    augmented[rowa][col] / augmented[row][col]
            _lowerCAmelCase       :   Optional[Any]  =    0
            for cola in range(col + 1 ,   size + 1   ):
                augmented[rowa][cola] -= augmented[row][cola] * ratio

        row += 1
        col += 1

    # back substitution
    for col in range(1 ,   _lowerCamelCase   ):
        for row in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   int  =    augmented[row][col] / augmented[col][col]
            for cola in range(_lowerCamelCase ,   size + 1   ):
                augmented[row][cola] -= augmented[col][cola] * ratio

    # round to get rid of numbers like 2.000000000000004
    return [
        [round(augmented[row][size] / augmented[row][row] ,   10   )] for row in range(_lowerCamelCase   )
    ]

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    _lowerCAmelCase       :   int  =    len(_lowerCamelCase   )
    _lowerCAmelCase       :   Matrix  =    [[0 for _ in range(_lowerCamelCase   )] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   Matrix  =    [[0] for _ in range(_lowerCamelCase   )]
    _lowerCAmelCase       :   Matrix
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int
    _lowerCAmelCase       :   int

    for x_val, y_val in enumerate(_lowerCamelCase   ):
        for col in range(_lowerCamelCase   ):
            _lowerCAmelCase       :   Union[str, Any]  =    (x_val + 1) ** (size - col - 1)
        _lowerCAmelCase       :   Optional[int]  =    y_val

    _lowerCAmelCase       :   List[Any]  =    solve(_lowerCamelCase ,   _lowerCamelCase   )

    def interpolated_func(_lowerCamelCase   ) -> int:
        return sum(
            round(coeffs[x_val][0]   ) * (var ** (size - x_val - 1))
            for x_val in range(_lowerCamelCase   )   )

    return interpolated_func

def 		lowerCamelCase__		(					_lowerCamelCase   ):

    '''simple docstring'''



    return (
        1
        - variable
        + variable**2
        - variable**3
        + variable**4
        - variable**5
        + variable**6
        - variable**7
        + variable**8
        - variable**9
        + variable**10
    )

def 		lowerCamelCase__		(					_lowerCamelCase = question_function ,   _lowerCamelCase = 10   ):

    '''simple docstring'''



    _lowerCAmelCase       :   list[int]  =    [func(_lowerCamelCase   ) for x_val in range(1 ,   order + 1   )]

    _lowerCAmelCase       :   list[Callable[[int], int]]  =    [
        interpolate(data_points[:max_coeff]   ) for max_coeff in range(1 ,   order + 1   )
    ]

    _lowerCAmelCase       :   int  =    0
    _lowerCAmelCase       :   Callable[[int], int]
    _lowerCAmelCase       :   int

    for poly in polynomials:
        _lowerCAmelCase       :   Any  =    1
        while func(_lowerCamelCase   ) == poly(_lowerCamelCase   ):
            x_val += 1

        ret += poly(_lowerCamelCase   )

    return ret


if __name__ == "__main__":
 print(F'''{solution() = }''')





