
'''simple docstring'''







from __future__ import annotations

from collections.abc import MutableSequence


class 						__UpperCAmelCase      :


							def __init__(       self    ,   lowerCAmelCase_    ,   lowerCAmelCase_  ):





								"""simple docstring"""






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

								_snake_case   						=		list(lowerCAmelCase_  )
								_snake_case   						=		degree


							def __add__(       self    ,   lowerCAmelCase_  ):





								"""simple docstring"""






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


							def __sub__(       self    ,   lowerCAmelCase_  ):





								"""simple docstring"""






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


							def __neg__(       self  ):





								"""simple docstring"""






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


							def __mul__(       self    ,   lowerCAmelCase_  ):





								"""simple docstring"""






								_snake_case   						=		[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    ,   lowerCAmelCase_  )


							def  lowerCamelCase				(       self    ,   lowerCAmelCase_  ):





								"""simple docstring"""






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


							def __str__(       self  ):





								"""simple docstring"""






								_snake_case   						=		''
								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(lowerCAmelCase_  )

								return polynomial


							def __repr__(       self  ):





								"""simple docstring"""






								return self.__str__()


							def  lowerCamelCase				(       self  ):





								"""simple docstring"""






								_snake_case   						=		[0] * self.degree
								for i in range(self.degree  ):
									_snake_case   						=		self.coefficients[i + 1] * (i + 1)
								return Polynomial(self.degree - 1    ,   lowerCAmelCase_  )


							def  lowerCamelCase				(       self    ,   lowerCAmelCase_ = 0  ):





								"""simple docstring"""






								_snake_case   						=		[0] * (self.degree + 2)
								_snake_case   						=		constant
								for i in range(self.degree + 1  ):
									_snake_case   						=		self.coefficients[i] / (i + 1)
								return Polynomial(self.degree + 1    ,   lowerCAmelCase_  )


							def __eq__(       self    ,   lowerCAmelCase_  ):





								"""simple docstring"""






								if not isinstance(lowerCAmelCase_    ,   lowerCAmelCase_  ):
									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    ,   lowerCAmelCase_  ):





								"""simple docstring"""






								return not self.__eq__(lowerCAmelCase_  )



'''simple docstring'''







from typing import TYPE_CHECKING

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


lowercase    :							List[str]      =					{
    "configuration_pix2struct": [
        "PIX2STRUCT_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "Pix2StructConfig",
        "Pix2StructTextConfig",
        "Pix2StructVisionConfig",
    ],
    "processing_pix2struct": ["Pix2StructProcessor"],
}

try:
					if not is_vision_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Optional[int]      =					["Pix2StructImageProcessor"]


try:
					if not is_torch_available():
										raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
					pass
else:
					lowercase    :							Tuple      =					[
					    "PIX2STRUCT_PRETRAINED_MODEL_ARCHIVE_LIST",
					    "Pix2StructPreTrainedModel",
					    "Pix2StructForConditionalGeneration",
					    "Pix2StructVisionModel",
					    "Pix2StructTextModel",
					]

if TYPE_CHECKING:
					from .configuration_pixastruct import (
					    PIX2STRUCT_PRETRAINED_CONFIG_ARCHIVE_MAP,
					    PixaStructConfig,
					    PixaStructTextConfig,
					    PixaStructVisionConfig,
					)
					from .processing_pixastruct import PixaStructProcessor

					try:
										if not is_vision_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .image_processing_pixastruct import PixaStructImageProcessor

					try:
										if not is_torch_available():
															raise OptionalDependencyNotAvailable()
					except OptionalDependencyNotAvailable:
										pass
					else:
										from .modeling_pixastruct import (
										    PIX2STRUCT_PRETRAINED_MODEL_ARCHIVE_LIST,
										    PixaStructForConditionalGeneration,
										    PixaStructPreTrainedModel,
										    PixaStructTextModel,
										    PixaStructVisionModel,
										)

else:
					import sys

					lowercase    :							List[str]      =					_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)

