

import mpmath  # for roots of unity
import numpy as np


class       SCREAMING_SNAKE_CASE__					:





    def __init__(      self						,   a=None						,   a=None):
         # Input as list
         lowercase__    :   Optional[int]      =       list(poly_a or [0])[:]
         lowercase__    :   int      =       list(poly_b or [0])[:]

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

         while self.polyB[-1] == 0:
              self.polyB.pop()
         lowercase__    :   Union[str, Any]      =       len(self.polyB)

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

         # The product
         lowercase__    :   Optional[int]      =       self.__multiply()





    def       snake_case_				(      self						,   a):
         lowercase__    :   Any      =       [[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]
         #
         lowercase__    :   Dict      =       self.c_max_length // 2
         while next_ncol > 0:
              lowercase__    :   Dict      =       [[] for i in range(a)]
              lowercase__    :   Optional[int]      =       self.root**next_ncol

              # First half of next step
              lowercase__    :   Any      =       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
              lowercase__    :   Any      =       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
              lowercase__    :   int      =       new_dft
              lowercase__    :   Optional[int]      =       next_ncol // 2
         return dft[0]





    def       snake_case_				(      self):
         lowercase__    :   Optional[int]      =       self.__dft('A')
         lowercase__    :   int      =       self.__dft('B')
         lowercase__    :   List[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
         lowercase__    :   int      =       2
         while next_ncol <= self.c_max_length:
              lowercase__    :   Dict      =       [[] for i in range(a)]
              lowercase__    :   int      =       self.root ** (next_ncol // 2)
              lowercase__    :   Any      =       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
              lowercase__    :   Tuple      =       new_inverse_c
              next_ncol *= 2
         # Unpack
         lowercase__    :   Tuple      =       [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):
         lowercase__    :   List[str]      =       'A = ' + ' + '.join(
             f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]))
         lowercase__    :   Dict      =       'B = ' + ' + '.join(
             f"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]))
         lowercase__    :   Optional[int]      =       '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 warnings

from ...utils import logging
from .image_processing_dpt import DPTImageProcessor


snake_case_			  = logging.get_logger(__name__)


class       SCREAMING_SNAKE_CASE__					(__snake_case     ):





    def __init__(      self						,   *a						,   **a):
         warnings.warn(
             'The class DPTFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'
             ' use DPTImageProcessor instead.'						,   a						,   )
         super().__init__(*a						,   **a)

