


'''simple docstring'''






from __future__ import annotations

from collections.abc import MutableSequence






class  __magic_name__							:






       def __init__(      self  ,							snake_case  ,							snake_case)						->  None:




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

          _UpperCAmelCase       :       list[float]							   =list(snake_case)
          _UpperCAmelCase       :       int							   =degree






       def __add__(      self  ,							snake_case)						->  Polynomial:




          '''simple docstring'''

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






       def __sub__(      self  ,							snake_case)						->  Polynomial:




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






       def __neg__(      self)						->  Polynomial:




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






       def __mul__(      self  ,							snake_case)						->  Polynomial:




          '''simple docstring'''
          _UpperCAmelCase       :       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  ,							snake_case)






       def       lowerCAmelCase		(      self  ,							snake_case)						->  int | float:




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






       def __str__(      self)						->  str:




          '''simple docstring'''
          _UpperCAmelCase       :       Tuple							   =''
          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(snake_case)

          return polynomial






       def __repr__(      self)						->  str:




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






       def       lowerCAmelCase		(      self)						->  Polynomial:




          '''simple docstring'''
          _UpperCAmelCase       :       list[float]							   =[0] * self.degree
          for i in range(self.degree):
             _UpperCAmelCase       :       List[Any]							   =self.coefficients[i + 1] * (i + 1)
          return Polynomial(self.degree - 1  ,							snake_case)






       def       lowerCAmelCase		(      self  ,							snake_case = 0)						->  Polynomial:




          '''simple docstring'''
          _UpperCAmelCase       :       list[float]							   =[0] * (self.degree + 2)
          _UpperCAmelCase       :       str							   =constant
          for i in range(self.degree + 1):
             _UpperCAmelCase       :       str							   =self.coefficients[i] / (i + 1)
          return Polynomial(self.degree + 1  ,							snake_case)






       def __eq__(      self  ,							snake_case)						->  bool:




          '''simple docstring'''
          if not isinstance(snake_case  ,							snake_case):
             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  ,							snake_case)						->  bool:




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





'''simple docstring'''






from typing import TYPE_CHECKING

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


lowercase							={
    'configuration_groupvit': [
        'GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'GroupViTConfig',
        'GroupViTOnnxConfig',
        'GroupViTTextConfig',
        'GroupViTVisionConfig',
    ],
}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase							=[
     'GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST',
     'GroupViTModel',
     'GroupViTPreTrainedModel',
     'GroupViTTextModel',
     'GroupViTVisionModel',
 ]

try:
 if not is_tf_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowercase							=[
     'TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST',
     'TFGroupViTModel',
     'TFGroupViTPreTrainedModel',
     'TFGroupViTTextModel',
     'TFGroupViTVisionModel',
 ]

if TYPE_CHECKING:
 from .configuration_groupvit import (
     GROUPVIT_PRETRAINED_CONFIG_ARCHIVE_MAP,
     GroupViTConfig,
     GroupViTOnnxConfig,
     GroupViTTextConfig,
     GroupViTVisionConfig,
 )

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_groupvit import (
      GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
      GroupViTModel,
      GroupViTPreTrainedModel,
      GroupViTTextModel,
      GroupViTVisionModel,
  )

 try:
  if not is_tf_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_tf_groupvit import (
      TF_GROUPVIT_PRETRAINED_MODEL_ARCHIVE_LIST,
      TFGroupViTModel,
      TFGroupViTPreTrainedModel,
      TFGroupViTTextModel,
      TFGroupViTVisionModel,
  )

else:
 import sys

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

