

"""simple docstring"""






import mpmath  # for roots of unity
import numpy as np
class        _lowercase					:







     def __init__(      self ,						UpperCamelCase_=None ,						UpperCamelCase_=None       ):
      # Input as list
      __magic_name__     =      list(poly_a or [0]       )[:]
      __magic_name__     =      list(poly_b or [0]       )[:]

      # Remove leading zero coefficients
      while self.polyA[-1] == 0:
       self.polyA.pop()
      __magic_name__     =      len(self.polyA       )

      while self.polyB[-1] == 0:
       self.polyB.pop()
      __magic_name__     =      len(self.polyB       )

      # Add 0 to make lengths equal a power of 2
      __magic_name__     =      int(
          2 ** np.ceil(np.loga(len(self.polyA       ) + len(self.polyB       ) - 1       )       )       )

      while len(self.polyA       ) < self.c_max_length:
       self.polyA.append(0       )
      while len(self.polyB       ) < self.c_max_length:
       self.polyB.append(0       )
      # A complex root used for the fourier transform
      __magic_name__     =      complex(mpmath.root(x=1 ,						n=self.c_max_length ,						k=1       )       )

      # The product
      __magic_name__     =      self.__multiply()







     def 	lowerCAmelCase__    (      self ,						UpperCamelCase_       ):
      __magic_name__     =      [[x] for x in self.polyA] if which == '''A''' else [[x] for x in self.polyB]
      # Corner case
      if len(UpperCamelCase_       ) <= 1:
       return dft[0]
      #
      __magic_name__     =      self.c_max_length // 2
      while next_ncol > 0:
       __magic_name__     =      [[] for i in range(UpperCamelCase_       )]
       __magic_name__     =      self.root**next_ncol

       # First half of next step
       __magic_name__     =      1
       for j in range(self.c_max_length // (next_ncol * 2)       ):
        for i in range(UpperCamelCase_       ):
         new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]       )
        current_root *= root
       # Second half of next step
       __magic_name__     =      1
       for j in range(self.c_max_length // (next_ncol * 2)       ):
        for i in range(UpperCamelCase_       ):
         new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]       )
        current_root *= root
       # Update
       __magic_name__     =      new_dft
       __magic_name__     =      next_ncol // 2
      return dft[0]







     def 	lowerCAmelCase__    (      self       ):
      __magic_name__     =      self.__dft('''A'''       )
      __magic_name__     =      self.__dft('''B'''       )
      __magic_name__     =      [[dft_a[i] * dft_b[i] for i in range(self.c_max_length       )]]
      del dft_a
      del dft_b

      # Corner Case
      if len(inverce_c[0]       ) <= 1:
       return inverce_c[0]
      # Inverse DFT
      __magic_name__     =      2
      while next_ncol <= self.c_max_length:
       __magic_name__     =      [[] for i in range(UpperCamelCase_       )]
       __magic_name__     =      self.root ** (next_ncol // 2)
       __magic_name__     =      1
       # First half of next step
       for j in range(self.c_max_length // next_ncol       ):
        for i in range(next_ncol // 2       ):
         # Even positions
         new_inverse_c[i].append(
             (
                 inverce_c[i][j]
                 + inverce_c[i][j + self.c_max_length // next_ncol]
             )
             / 2       )
         # Odd positions
         new_inverse_c[i + next_ncol // 2].append(
             (
                 inverce_c[i][j]
                 - inverce_c[i][j + self.c_max_length // next_ncol]
             )
             / (2 * current_root)       )
        current_root *= root
       # Update
       __magic_name__     =      new_inverse_c
       next_ncol *= 2
      # Unpack
      __magic_name__     =      [round(x[0].real ,						8       ) + round(x[0].imag ,						8       ) * 1j for x in inverce_c]

      # Remove leading 0's
      while inverce_c[-1] == 0:
       inverce_c.pop()
      return inverce_c







     def __str__(      self       ):
      __magic_name__     =      '''A = ''' + ''' + '''.join(
          f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]       )       )
      __magic_name__     =      '''B = ''' + ''' + '''.join(
          f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]       )       )
      __magic_name__     =      '''A*B = ''' + ''' + '''.join(
          f'''{coef}*x^{i}''' for coef, i in enumerate(self.product       )       )

      return f'''{a}\n{b}\n{c}'''


# Unit tests
if __name__ == "__main__":
 import doctest

 doctest.testmod()




"""simple docstring"""






import os
import unittest

from transformers import FunnelTokenizer, FunnelTokenizerFast
from transformers.models.funnel.tokenization_funnel import VOCAB_FILES_NAMES
from transformers.testing_utils import require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin
@require_tokenizers
class        _lowercase					(     __UpperCAmelCase   , unittest.TestCase     ):
     _lowerCamelCase     =       FunnelTokenizer
     _lowerCamelCase     =       FunnelTokenizerFast
     _lowerCamelCase     =       True
     _lowerCamelCase     =       True







     def 	lowerCAmelCase__    (      self       ):
      super().setUp()

      __magic_name__     =      [
          '''<unk>''',
          '''<cls>''',
          '''<sep>''',
          '''want''',
          '''##want''',
          '''##ed''',
          '''wa''',
          '''un''',
          '''runn''',
          '''##ing''',
          ''',''',
          '''low''',
          '''lowest''',
      ]
      __magic_name__     =      os.path.join(self.tmpdirname ,						VOCAB_FILES_NAMES['''vocab_file''']       )
      with open(self.vocab_file ,						'''w''' ,						encoding='''utf-8'''       ) as vocab_writer:
       vocab_writer.write(''''''.join([x + '''\n''' for x in vocab_tokens]       )       )







     def 	lowerCAmelCase__    (      self ,						**UpperCamelCase_       ):
      return FunnelTokenizer.from_pretrained(self.tmpdirname ,						**UpperCamelCase_       )







     def 	lowerCAmelCase__    (      self ,						**UpperCamelCase_       ):
      return FunnelTokenizerFast.from_pretrained(self.tmpdirname ,						**UpperCamelCase_       )







     def 	lowerCAmelCase__    (      self ,						UpperCamelCase_       ):
      __magic_name__     =      '''UNwant\u00E9d,running'''
      __magic_name__     =      '''unwanted, running'''
      return input_text, output_text







     def 	lowerCAmelCase__    (      self       ):
      __magic_name__     =      self.tokenizer_class(self.vocab_file       )

      __magic_name__     =      tokenizer.tokenize('''UNwant\u00E9d,running'''       )
      self.assertListEqual(UpperCamelCase_ ,						['''un''', '''##want''', '''##ed''', ''',''', '''runn''', '''##ing''']       )
      self.assertListEqual(tokenizer.convert_tokens_to_ids(UpperCamelCase_       ) ,						[7, 4, 5, 10, 8, 9]       )







     def 	lowerCAmelCase__    (      self       ):
      __magic_name__     =      self.get_tokenizers(do_lower_case=UpperCamelCase_       )
      for tokenizer in tokenizers:
       __magic_name__     =      tokenizer('''UNwant\u00E9d,running'''       )
       __magic_name__     =      len(inputs['''input_ids''']       ) - 1
       self.assertListEqual(inputs['''token_type_ids'''] ,						[2] + [0] * sentence_len       )

       __magic_name__     =      tokenizer('''UNwant\u00E9d,running''' ,						'''UNwant\u00E9d,running'''       )
       self.assertListEqual(inputs['''token_type_ids'''] ,						[2] + [0] * sentence_len + [1] * sentence_len       )

