


"""simple docstring"""
import mpmath  # for roots of unity
import numpy as np





class      __A     :





							'''simple docstring'''

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



														"""simple docstring"""



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

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

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

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

														# The product
														snake_case_           =		self.__multiply()



							def 		lowerCAmelCase       (				self							:      str		,       UpperCAmelCase_							:      str       )					->int:



														"""simple docstring"""



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

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



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



														"""simple docstring"""



														snake_case_           =		self.__dft("""A"""       )
														snake_case_           =		self.__dft("""B"""       )
														snake_case_           =		[[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_           =		2
														while next_ncol <= self.c_max_length:
																					snake_case_           =		[[] for i in range(__A       )]
																					snake_case_           =		self.root ** (next_ncol // 2)
																					snake_case_           =		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_           =		new_inverse_c
																					next_ncol *= 2
														# Unpack
														snake_case_           =		[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							:      List[Any]       )					->int:



														"""simple docstring"""



														snake_case_           =		"A = " + " + ".join(
														    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyA[: self.len_A]       )       )
														snake_case_           =		"B = " + " + ".join(
														    F"""{coef}*x^{i}""" for coef, i in enumerate(self.polyB[: self.len_B]       )       )
														snake_case_           =		"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"""
from ....configuration_utils import PretrainedConfig
from ....utils import logging


__SCREAMING_SNAKE_CASE							:    str		=    logging.get_logger(__name__)

__SCREAMING_SNAKE_CASE							:    str		=    {
    'speechbrain/m-ctc-t-large': 'https://huggingface.co/speechbrain/m-ctc-t-large/resolve/main/config.json',
    # See all M-CTC-T models at https://huggingface.co/models?filter=mctct
}





class      __A     (snake_case__):





							'''simple docstring'''

							__lowercase:		Any							      =    """mctct"""



							def __init__(				self							:      Dict		,       UpperCAmelCase_							:      List[Any]=8_065		,       UpperCAmelCase_							:      Tuple=1_536		,       UpperCAmelCase_							:      Optional[Any]=36		,       UpperCAmelCase_							:      int=6_144		,       UpperCAmelCase_							:      Dict=4		,       UpperCAmelCase_							:      Any=384		,       UpperCAmelCase_							:      List[str]=920		,       UpperCAmelCase_							:      Any=1E-5		,       UpperCAmelCase_							:      Any=0.3		,       UpperCAmelCase_							:      Tuple="relu"		,       UpperCAmelCase_							:      Union[str, Any]=0.02		,       UpperCAmelCase_							:      Dict=0.3		,       UpperCAmelCase_							:      str=0.3		,       UpperCAmelCase_							:      Any=1		,       UpperCAmelCase_							:      Any=0		,       UpperCAmelCase_							:      int=2		,       UpperCAmelCase_							:      str=1		,       UpperCAmelCase_							:      Tuple=0.3		,       UpperCAmelCase_							:      Optional[Any]=1		,       UpperCAmelCase_							:      Optional[Any]=(7,)		,       UpperCAmelCase_							:      Optional[Any]=(3,)		,       UpperCAmelCase_							:      List[str]=80		,       UpperCAmelCase_							:      Tuple=1		,       UpperCAmelCase_							:      List[Any]=None		,       UpperCAmelCase_							:      List[str]="sum"		,       UpperCAmelCase_							:      Union[str, Any]=False		,       **UpperCAmelCase_							:      Any		,       )					->Dict:



														"""simple docstring"""



														super().__init__(**UpperCAmelCase_		,       pad_token_id=UpperCAmelCase_		,       bos_token_id=UpperCAmelCase_		,       eos_token_id=UpperCAmelCase_       )
														snake_case_           =		vocab_size
														snake_case_           =		hidden_size
														snake_case_           =		num_hidden_layers
														snake_case_           =		intermediate_size
														snake_case_           =		num_attention_heads
														snake_case_           =		attention_head_dim
														snake_case_           =		max_position_embeddings
														snake_case_           =		layer_norm_eps
														snake_case_           =		layerdrop
														snake_case_           =		hidden_act
														snake_case_           =		initializer_range
														snake_case_           =		hidden_dropout_prob
														snake_case_           =		attention_probs_dropout_prob
														snake_case_           =		pad_token_id
														snake_case_           =		bos_token_id
														snake_case_           =		eos_token_id
														snake_case_           =		conv_glu_dim
														snake_case_           =		conv_dropout
														snake_case_           =		num_conv_layers
														snake_case_           =		input_feat_per_channel
														snake_case_           =		input_channels
														snake_case_           =		conv_channels
														snake_case_           =		ctc_loss_reduction
														snake_case_           =		ctc_zero_infinity

														# prevents config testing fail with exporting to json
														snake_case_           =		list(UpperCAmelCase_       )
														snake_case_           =		list(UpperCAmelCase_       )

														if len(self.conv_kernel       ) != self.num_conv_layers:
																					raise ValueError(
																					    """Configuration for convolutional module is incorrect. """
																					    """It is required that `len(config.conv_kernel)` == `config.num_conv_layers` """
																					    F"""but is `len(config.conv_kernel) = {len(self.conv_kernel       )}`, """
																					    F"""`config.num_conv_layers = {self.num_conv_layers}`."""       )



