



from __future__ import annotations

from collections.abc import MutableSequence






class    SCREAMING_SNAKE_CASE			:





							def __init__(   self		:		List[Any]      ,				__lowercase		:		int      ,				__lowercase		:		MutableSequence[float]	):

											'''simple docstring'''
											if len(__lowercase	) != degree + 1:
															raise ValueError(
															    """The number of coefficients should be equal to the degree + 1."""	)

											__a       =		list(__lowercase	)
											__a       =		degree





							def __add__(   self		:		Tuple      ,				__lowercase		:		Polynomial	):

											'''simple docstring'''

											if self.degree > polynomial_a.degree:
															__a       =		self.coefficients[:]
															for i in range(polynomial_a.degree + 1	):
																			coefficients[i] += polynomial_a.coefficients[i]
															return Polynomial(self.degree      ,				__lowercase	)
											else:
															__a       =		polynomial_a.coefficients[:]
															for i in range(self.degree + 1	):
																			coefficients[i] += self.coefficients[i]
															return Polynomial(polynomial_a.degree      ,				__lowercase	)





							def __sub__(   self		:		Tuple      ,				__lowercase		:		Polynomial	):

											'''simple docstring'''
											return self + polynomial_a * Polynomial(0      ,				[-1]	)





							def __neg__(   self		:		Dict	):

											'''simple docstring'''
											return Polynomial(self.degree      ,				[-c for c in self.coefficients]	)





							def __mul__(   self		:		Any      ,				__lowercase		:		Polynomial	):

											'''simple docstring'''
											__a       =		[0] * (self.degree + polynomial_a.degree + 1)
											for i in range(self.degree + 1	):
															for j in range(polynomial_a.degree + 1	):
																			coefficients[i + j] += (
																			    self.coefficients[i] * polynomial_a.coefficients[j]
																			)

											return Polynomial(self.degree + polynomial_a.degree      ,				__lowercase	)





							def 						UpperCamelCase_					(   self		:		List[Any]      ,				__lowercase		:		int | float	):

											'''simple docstring'''
											__a       =		0
											for i in range(self.degree + 1	):
															result += self.coefficients[i] * (substitution**i)
											return result





							def __str__(   self		:		Dict	):

											'''simple docstring'''
											__a       =		""""""
											for i in range(self.degree      ,				-1      ,				-1	):
															if self.coefficients[i] == 0:
																			continue
															elif self.coefficients[i] > 0:
																			if polynomial:
																							polynomial += " + "
															else:
																			polynomial += " - "

															if i == 0:
																			polynomial += str(abs(self.coefficients[i]	)	)
															elif i == 1:
																			polynomial += str(abs(self.coefficients[i]	)	) + "x"
															else:
																			polynomial += str(abs(self.coefficients[i]	)	) + "x^" + str(__lowercase	)

											return polynomial





							def __repr__(   self		:		Optional[Any]	):

											'''simple docstring'''
											return self.__str__()





							def 						UpperCamelCase_					(   self		:		str	):

											'''simple docstring'''
											__a       =		[0] * self.degree
											for i in range(self.degree	):
															__a       =		self.coefficients[i + 1] * (i + 1)
											return Polynomial(self.degree - 1      ,				__lowercase	)





							def 						UpperCamelCase_					(   self		:		Optional[Any]      ,				__lowercase		:		int | float = 0	):

											'''simple docstring'''
											__a       =		[0] * (self.degree + 2)
											__a       =		constant
											for i in range(self.degree + 1	):
															__a       =		self.coefficients[i] / (i + 1)
											return Polynomial(self.degree + 1      ,				__lowercase	)





							def __eq__(   self		:		List[str]      ,				__lowercase		:		object	):

											'''simple docstring'''
											if not isinstance(__lowercase      ,				__lowercase	):
															return False

											if self.degree != polynomial_a.degree:
															return False

											for i in range(self.degree + 1	):
															if self.coefficients[i] != polynomial_a.coefficients[i]:
																			return False

											return True







							def __ne__(   self		:		Any      ,				__lowercase		:		object	):

											'''simple docstring'''
											return not self.__eq__(__lowercase	)





from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_flax_available, is_torch_available


lowerCamelCase__			= {"""configuration_speech_encoder_decoder""": ["""SpeechEncoderDecoderConfig"""]}

try:
						if not is_torch_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCamelCase__			= ["""SpeechEncoderDecoderModel"""]

try:
						if not is_flax_available():
												raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
						pass
else:
						lowerCamelCase__			= ["""FlaxSpeechEncoderDecoderModel"""]

if TYPE_CHECKING:
						from .configuration_speech_encoder_decoder import SpeechEncoderDecoderConfig

						try:
												if not is_torch_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_speech_encoder_decoder import SpeechEncoderDecoderModel

						try:
												if not is_flax_available():
																		raise OptionalDependencyNotAvailable()
						except OptionalDependencyNotAvailable:
												pass
						else:
												from .modeling_flax_speech_encoder_decoder import FlaxSpeechEncoderDecoderModel

else:
						import sys

						lowerCamelCase__			= _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
