





import mpmath  # for roots of unity
import numpy as np




class        SCREAMING_SNAKE_CASE__					:



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

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

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

        # Add 0 to make lengths equal a power of 2
        A__		   =		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
        A__		   =		complex(mpmath.root(x=1,n=self.c_max_length,k=1					)					)

        # The product
        A__		   =		self.__multiply()



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

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



 def 							UpperCamelCase     (				self					):
        A__		   =		self.__dft('''A'''					)
        A__		   =		self.__dft('''B'''					)
        A__		   =		[[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
        A__		   =		2
        while next_ncol <= self.c_max_length:
               A__		   =		[[] for i in range(__lowerCamelCase					)]
               A__		   =		self.root ** (next_ncol // 2)
               A__		   =		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
               A__		   =		new_inverse_c
               next_ncol *= 2
        # Unpack
        A__		   =		[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					):
        A__		   =		'''A = ''' + ''' + '''.join(
            f"{coef}*x^{i}" for coef, i in enumerate(self.polyA[: self.len_A]					)					)
        A__		   =		'''B = ''' + ''' + '''.join(
            f"{coef}*x^{i}" for coef, i in enumerate(self.polyB[: self.len_B]					)					)
        A__		   =		'''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()












import json
import os
import unittest

from transformers.models.ctrl.tokenization_ctrl import VOCAB_FILES_NAMES, CTRLTokenizer

from ...test_tokenization_common import TokenizerTesterMixin




class        SCREAMING_SNAKE_CASE__					(		UpperCamelCase__							,   unittest.TestCase ):
 __SCREAMING_SNAKE_CASE							=      CTRLTokenizer
 __SCREAMING_SNAKE_CASE							=      False
 __SCREAMING_SNAKE_CASE							=      False



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

        # Adapted from Sennrich et al. 2015 and https://github.com/rsennrich/subword-nmt
        A__		   =		['''adapt''', '''re@@''', '''a@@''', '''apt''', '''c@@''', '''t''', '''<unk>''']
        A__		   =		dict(zip(__lowerCamelCase,range(len(__lowerCamelCase					)					)					)					)
        A__		   =		['''#version: 0.2''', '''a p''', '''ap t</w>''', '''r e''', '''a d''', '''ad apt</w>''', '''''']
        A__		   =		{'''unk_token''': '''<unk>'''}

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



 def 							UpperCamelCase     (				self,**__lowerCamelCase					):
        kwargs.update(self.special_tokens_map					)
        return CTRLTokenizer.from_pretrained(self.tmpdirname,**__lowerCamelCase					)



 def 							UpperCamelCase     (				self,__lowerCamelCase					):
        A__		   =		'''adapt react readapt apt'''
        A__		   =		'''adapt react readapt apt'''
        return input_text, output_text




 def 							UpperCamelCase     (				self					):
        A__		   =		CTRLTokenizer(self.vocab_file,self.merges_file,**self.special_tokens_map					)
        A__		   =		'''adapt react readapt apt'''
        A__		   =		'''adapt re@@ a@@ c@@ t re@@ adapt apt'''.split()
        A__		   =		tokenizer.tokenize(__lowerCamelCase					)
        self.assertListEqual(__lowerCamelCase,__lowerCamelCase					)

        A__		   =		tokens + [tokenizer.unk_token]

        A__		   =		[0, 1, 2, 4, 5, 1, 0, 3, 6]
        self.assertListEqual(tokenizer.convert_tokens_to_ids(__lowerCamelCase					),__lowerCamelCase					)





