


import mpmath  # for roots of unity
import numpy as np



class 							A   :
					'''simple docstring'''






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




							"""simple docstring"""


							lowercase__					      =		list(poly_a or [0]		)[:]
							lowercase__					      =		list(poly_b or [0]		)[:]

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

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

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

							# The product
							lowercase__					      =		self.__multiply()

					def   lowerCamelCase__					(self   :						Any				, _UpperCAmelCase   :						Any		)						->       Any:




							"""simple docstring"""


							lowercase__					      =		[[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]
							#
							lowercase__					      =		self.c_max_length // 2
							while next_ncol > 0:
									lowercase__					      =		[[] for i in range(_UpperCAmelCase		)]
									lowercase__					      =		self.root**next_ncol

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

					def   lowerCamelCase__					(self   :						List[Any]		)						->       str:




							"""simple docstring"""


							lowercase__					      =		self.__dft("""A"""		)
							lowercase__					      =		self.__dft("""B"""		)
							lowercase__					      =		[[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__					      =		2
							while next_ncol <= self.c_max_length:
									lowercase__					      =		[[] for i in range(_UpperCAmelCase		)]
									lowercase__					      =		self.root ** (next_ncol // 2)
									lowercase__					      =		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__					      =		new_inverse_c
									next_ncol *= 2
							# Unpack
							lowercase__					      =		[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   :						Any		)						->       Dict:




							"""simple docstring"""


							lowercase__					      =		"""A = """ + """ + """.join(
							    f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyA[: self.len_A]		)		)
							lowercase__					      =		"""B = """ + """ + """.join(
							    f'''{coef}*x^{i}''' for coef, i in enumerate(self.polyB[: self.len_B]		)		)
							lowercase__					      =		"""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_clip import CLIPImageProcessor


A	:		List[Any]    =       logging.get_logger(__name__)



class 							A   (	UpperCAmelCase__							):
					'''simple docstring'''






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




							"""simple docstring"""


							warnings.warn(
							    """The class CLIPFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"""
							    """ use CLIPImageProcessor instead."""				, _UpperCAmelCase				, )
							super().__init__(*_UpperCAmelCase				, **_UpperCAmelCase		)

