



"""simple docstring"""

import mpmath  # for roots of unity
import numpy as np







class    __lowercase     :







						"""simple docstring"""







						def __init__(self   ,		lowercase__=None   ,		lowercase__=None       ):
											# Input as list
											snake_case_					:		str 					=					list(poly_a or [0]       )[:]
											snake_case_					:		Union[str, Any] 					=					list(poly_b or [0]       )[:]

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

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

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

											# The product
											snake_case_					:		Optional[Any] 					=					self.__multiply()







						def 						__UpperCamelCase							(self   ,		lowercase__       ):
											snake_case_					:		Dict 					=					[[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]
											#
											snake_case_					:		Union[str, Any] 					=					self.c_max_length // 2
											while next_ncol > 0:
																snake_case_					:		Dict 					=					[[] for i in range(lowerCamelCase_       )]
																snake_case_					:		Tuple 					=					self.root**next_ncol

																# First half of next step
																snake_case_					:		Optional[Any] 					=					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
																snake_case_					:		List[str] 					=					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
																snake_case_					:		Any 					=					new_dft
																snake_case_					:		Union[str, Any] 					=					next_ncol // 2
											return dft[0]







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

from ...configuration_utils import PretrainedConfig
from ...utils import logging
from ..auto.configuration_auto import CONFIG_MAPPING


a_			   =					logging.get_logger(__name__)







class    __lowercase     (					_UpperCAmelCase):







						"""simple docstring"""







						_A		:							Optional[int]							       =		"""upernet"""







						def __init__(self   ,		lowercase__=None   ,		lowercase__=5_12   ,		lowercase__=0.02   ,		lowercase__=[1, 2, 3, 6]   ,		lowercase__=True   ,		lowercase__=0.4   ,		lowercase__=3_84   ,		lowercase__=2_56   ,		lowercase__=1   ,		lowercase__=False   ,		lowercase__=2_55   ,		**lowercase__   ,		):
											super().__init__(**lowercase__       )

											if backbone_config is None:
																logger.info("""`backbone_config` is `None`. Initializing the config with the default `ResNet` backbone."""       )
																snake_case_					:		List[Any] 					=					CONFIG_MAPPING["""resnet"""](out_features=["""stage1""", """stage2""", """stage3""", """stage4"""]       )
											elif isinstance(lowercase__   ,		lowercase__       ):
																snake_case_					:		Tuple 					=					backbone_config.get("""model_type"""       )
																snake_case_					:		List[str] 					=					CONFIG_MAPPING[backbone_model_type]
																snake_case_					:		List[Any] 					=					config_class.from_dict(lowercase__       )

											snake_case_					:		List[Any] 					=					backbone_config
											snake_case_					:		Optional[Any] 					=					hidden_size
											snake_case_					:		Any 					=					initializer_range
											snake_case_					:		str 					=					pool_scales
											snake_case_					:		Dict 					=					use_auxiliary_head
											snake_case_					:		str 					=					auxiliary_loss_weight
											snake_case_					:		List[str] 					=					auxiliary_in_channels
											snake_case_					:		Optional[Any] 					=					auxiliary_channels
											snake_case_					:		Any 					=					auxiliary_num_convs
											snake_case_					:		List[Any] 					=					auxiliary_concat_input
											snake_case_					:		List[str] 					=					loss_ignore_index







						def 						__UpperCamelCase							(self       ):
											snake_case_					:		Dict 					=					copy.deepcopy(self.__dict__       )
											snake_case_					:		Union[str, Any] 					=					self.backbone_config.to_dict()
											snake_case_					:		Any 					=					self.__class__.model_type
											return output




