
"""simple docstring"""




from __future__ import annotations

from collections.abc import MutableSequence



class 	lowerCAmelCase_						:


				"""simple docstring"""



				def __init__(self   ,       SCREAMING_SNAKE_CASE__   ,       SCREAMING_SNAKE_CASE__    )					->		List[str]:



											"""simple docstring"""




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

											SCREAMING_SNAKE_CASE__						:       list[float]           =   list(_A    )
											SCREAMING_SNAKE_CASE__						:       Union[str, Any]           =   degree



				def __add__(self   ,       SCREAMING_SNAKE_CASE__    )					->		str:



											"""simple docstring"""




											if self.degree > polynomial_a.degree:
																		SCREAMING_SNAKE_CASE__						:       Optional[Any]           =   self.coefficients[:]
																		for i in range(polynomial_a.degree + 1    ):
																									coefficients[i] += polynomial_a.coefficients[i]
																		return Polynomial(self.degree   ,       _A    )
											else:
																		SCREAMING_SNAKE_CASE__						:       List[Any]           =   polynomial_a.coefficients[:]
																		for i in range(self.degree + 1    ):
																									coefficients[i] += self.coefficients[i]
																		return Polynomial(polynomial_a.degree   ,       _A    )



				def __sub__(self   ,       SCREAMING_SNAKE_CASE__    )					->		List[Any]:



											"""simple docstring"""




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



				def __neg__(self    )					->		int:



											"""simple docstring"""




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



				def __mul__(self   ,       SCREAMING_SNAKE_CASE__    )					->		Optional[int]:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__						:       list[float]           =   [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   ,       _A    )



				def 	__magic_name__    (self   ,       SCREAMING_SNAKE_CASE__    )					->		Tuple:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__						:       int | float           =   0
											for i in range(self.degree + 1    ):
																		result += self.coefficients[i] * (substitution**i)
											return result



				def __str__(self    )					->		str:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__						:       Dict           =   ''''''
											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(_A    )

											return polynomial



				def __repr__(self    )					->		List[Any]:



											"""simple docstring"""




											return self.__str__()



				def 	__magic_name__    (self    )					->		Any:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__						:       list[float]           =   [0] * self.degree
											for i in range(self.degree    ):
																		SCREAMING_SNAKE_CASE__						:       List[str]           =   self.coefficients[i + 1] * (i + 1)
											return Polynomial(self.degree - 1   ,       _A    )



				def 	__magic_name__    (self   ,       SCREAMING_SNAKE_CASE__ = 0    )					->		Tuple:



											"""simple docstring"""




											SCREAMING_SNAKE_CASE__						:       list[float]           =   [0] * (self.degree + 2)
											SCREAMING_SNAKE_CASE__						:       List[str]           =   constant
											for i in range(self.degree + 1    ):
																		SCREAMING_SNAKE_CASE__						:       Tuple           =   self.coefficients[i] / (i + 1)
											return Polynomial(self.degree + 1   ,       _A    )



				def __eq__(self   ,       SCREAMING_SNAKE_CASE__    )					->		Optional[int]:



											"""simple docstring"""




											if not isinstance(_A   ,       _A    ):
																		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   ,       SCREAMING_SNAKE_CASE__    )					->		Union[str, Any]:



											"""simple docstring"""




											return not self.__eq__(_A    )








'''simple docstring'''
# Copyright 2023 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

# rely on isort to merge the imports
from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


UpperCamelCase__    					=      {
    '''configuration_vivit''': ['''VIVIT_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''VivitConfig'''],
}
try:
  if not is_vision_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__    					=      ['''VivitImageProcessor''']


try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  pass
else:
  UpperCamelCase__    					=      [
      '''VIVIT_PRETRAINED_MODEL_ARCHIVE_LIST''',
      '''VivitModel''',
      '''VivitPreTrainedModel''',
      '''VivitForVideoClassification''',
  ]


if TYPE_CHECKING:
  from .configuration_vivit import VIVIT_PRETRAINED_CONFIG_ARCHIVE_MAP, VivitConfig

  try:
    if not is_vision_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .image_processing_vivit import VivitImageProcessor

  try:
    if not is_torch_available():
      raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
    pass
  else:
    from .modeling_vivit import (
        VIVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
        VivitForVideoClassification,
        VivitModel,
        VivitPreTrainedModel,
    )


else:
  import sys

  UpperCamelCase__    					=      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)
