
"""simple docstring"""







import mpmath  # for roots of unity
import numpy as np



class 		UpperCAmelCase_						:
 """simple docstring"""




 def __init__(			self							:			Any  , a_							:			List[str]=None  , a_							:			List[str]=None			)->       int:



      """simple docstring"""

      UpperCAmelCase_    :     Tuple            =	list(poly_a or [0]			)[:]
      UpperCAmelCase_    :     Tuple            =	list(poly_b or [0]			)[:]

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

      while self.polyB[-1] == 0:
           self.polyB.pop()
      UpperCAmelCase_    :     Optional[int]            =	len(self.polyB			)

      # Add 0 to make lengths equal a power of 2
      UpperCAmelCase_    :     List[str]            =	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
      UpperCAmelCase_    :     Dict            =	complex(mpmath.root(x=1  , n=self.c_max_length  , k=1			)			)

      # The product
      UpperCAmelCase_    :     List[str]            =	self.__multiply()




 def 	a   (			self							:			Any  , a_							:			Tuple			)->       List[str]:



      """simple docstring"""

      UpperCAmelCase_    :     Dict            =	[[x] for x in self.polyA] if which == """A""" else [[x] for x in self.polyB]
      # Corner case
      if len(a_			) <= 1:
           return dft[0]
      #
      UpperCAmelCase_    :     Optional[int]            =	self.c_max_length // 2
      while next_ncol > 0:
           UpperCAmelCase_    :     Tuple            =	[[] for i in range(a_			)]
           UpperCAmelCase_    :     Any            =	self.root**next_ncol

           # First half of next step
           UpperCAmelCase_    :     List[str]            =	1
           for j in range(self.c_max_length // (next_ncol * 2)			):
                for i in range(a_			):
                     new_dft[i].append(dft[i][j] + current_root * dft[i + next_ncol][j]			)
                current_root *= root
           # Second half of next step
           UpperCAmelCase_    :     Dict            =	1
           for j in range(self.c_max_length // (next_ncol * 2)			):
                for i in range(a_			):
                     new_dft[i].append(dft[i][j] - current_root * dft[i + next_ncol][j]			)
                current_root *= root
           # Update
           UpperCAmelCase_    :     Optional[Any]            =	new_dft
           UpperCAmelCase_    :     Tuple            =	next_ncol // 2
      return dft[0]




 def 	a   (			self							:			int			)->       Tuple:



      """simple docstring"""

      UpperCAmelCase_    :     Optional[int]            =	self.__dft("""A"""			)
      UpperCAmelCase_    :     Any            =	self.__dft("""B"""			)
      UpperCAmelCase_    :     Any            =	[[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
      UpperCAmelCase_    :     Any            =	2
      while next_ncol <= self.c_max_length:
           UpperCAmelCase_    :     Optional[int]            =	[[] for i in range(a_			)]
           UpperCAmelCase_    :     Union[str, Any]            =	self.root ** (next_ncol // 2)
           UpperCAmelCase_    :     Optional[int]            =	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
           UpperCAmelCase_    :     Dict            =	new_inverse_c
           next_ncol *= 2
      # Unpack
      UpperCAmelCase_    :     str            =	[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							:			Optional[Any]			)->       Any:



      """simple docstring"""

      UpperCAmelCase_    :     Any            =	"""A = """ + """ + """.join(
          f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]			)			)
      UpperCAmelCase_    :     Union[str, Any]            =	"""B = """ + """ + """.join(
          f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]			)			)
      UpperCAmelCase_    :     Union[str, Any]            =	"""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 tempfile
import unittest

from make_student import create_student_by_copying_alternating_layers

from transformers import AutoConfig
from transformers.file_utils import cached_property
from transformers.testing_utils import require_torch


lowercase_         =       "sshleifer/bart-tiny-random"
lowercase_         =       "patrickvonplaten/t5-tiny-random"



@require_torch
class 		UpperCAmelCase_						(unittest.TestCase    ):
 """simple docstring"""




 @cached_property
 def 	a   (			self							:			Dict			)->       List[Any]:



      """simple docstring"""

      return AutoConfig.from_pretrained(a_			)




 def 	a   (			self							:			List[str]			)->       Dict:



      """simple docstring"""

      UpperCAmelCase_       ,*UpperCAmelCase_    :     Tuple            =	create_student_by_copying_alternating_layers(a_  , tempfile.mkdtemp()  , e=1  , d=1			)
      self.assertEqual(student.config.num_hidden_layers  , 1			)




 def 	a   (			self							:			List[str]			)->       str:



      """simple docstring"""

      UpperCAmelCase_       ,*UpperCAmelCase_    :     Dict            =	create_student_by_copying_alternating_layers(a_  , tempfile.mkdtemp()  , e=1  , d=a_			)




 def 	a   (			self							:			Any			)->       List[Any]:



      """simple docstring"""

      UpperCAmelCase_       ,*UpperCAmelCase_    :     Union[str, Any]            =	create_student_by_copying_alternating_layers(a_  , tempfile.mkdtemp()  , e=1  , d=a_			)
      self.assertEqual(student.config.encoder_layers  , 1			)
      self.assertEqual(student.config.decoder_layers  , self.teacher_config.encoder_layers			)




 def 	a   (			self							:			Tuple			)->       str:



      """simple docstring"""

      UpperCAmelCase_       ,*UpperCAmelCase_    :     str            =	create_student_by_copying_alternating_layers(a_  , tempfile.mkdtemp()  , e=1  , d=1			)
      self.assertEqual(student.config.encoder_layers  , 1			)
      self.assertEqual(student.config.decoder_layers  , 1			)






 def 	a   (			self							:			Optional[int]			)->       Optional[int]:



      """simple docstring"""

      with self.assertRaises(a_			):
           create_student_by_copying_alternating_layers(a_  , tempfile.mkdtemp()  , e=a_  , d=a_			)

