



'''simple docstring'''



from math import factorial
class 	lowerCamelCase_							:







      def __init__(  self   :      List[str]				,    lowerCAmelCase__   :      int				,    lowerCAmelCase__   :      Optional[int]				):

             """simple docstring"""
             SCREAMING_SNAKE_CASE					:      Dict     					=			real
             if isinstance(lowercase__				,    lowercase__				):
                    SCREAMING_SNAKE_CASE					:      Dict     					=			[1] * rank
             else:
                    SCREAMING_SNAKE_CASE					:      int     					=			rank







      def __repr__(  self   :      Optional[int]				):

             """simple docstring"""
             return (
                 F"""{self.real}+"""
                 F"""{"+".join(str(lowercase__				)+"E"+str(n+1				)for n,dual in enumerate(self.duals				)				)}"""
             )







      def 					__lowercase    (  self   :      Any				):

             """simple docstring"""
             SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			self.duals.copy()
             while cur[-1] == 0:
                    cur.pop(-1				)
             return Dual(self.real				,    lowercase__				)







      def __add__(  self   :      Tuple				,    lowerCAmelCase__   :      Any				):

             """simple docstring"""






             if not isinstance(lowercase__				,    lowercase__				):
                    return Dual(self.real + other				,    self.duals				)
             SCREAMING_SNAKE_CASE					:      Dict     					=			self.duals.copy()
             SCREAMING_SNAKE_CASE					:      Tuple     					=			other.duals.copy()
             if len(lowercase__				) > len(lowercase__				):
                    o_dual.extend([1] * (len(lowercase__				) - len(lowercase__				))				)
             elif len(lowercase__				) < len(lowercase__				):
                    s_dual.extend([1] * (len(lowercase__				) - len(lowercase__				))				)
             SCREAMING_SNAKE_CASE					:      List[Any]     					=			[]
             for i in range(len(lowercase__				)				):
                    new_duals.append(s_dual[i] + o_dual[i]				)
             return Dual(self.real + other.real				,    lowercase__				)

      _lowerCAmelCase     :   List[str]	     =				__add__







      def __sub__(  self   :      Any				,    lowerCAmelCase__   :      List[Any]				):

             """simple docstring"""
             return self + other * -1







      def __mul__(  self   :      Union[str, Any]				,    lowerCAmelCase__   :      Tuple				):

             """simple docstring"""






             if not isinstance(lowercase__				,    lowercase__				):
                    SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			[]
                    for i in self.duals:
                           new_duals.append(i * other				)
                    return Dual(self.real * other				,    lowercase__				)
             SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			[0] * (len(self.duals				) + len(other.duals				) + 1)
             for i, item in enumerate(self.duals				):
                    for j, jtem in enumerate(other.duals				):
                           new_duals[i + j + 1] += item * jtem
             for k in range(len(self.duals				)				):
                    new_duals[k] += self.duals[k] * other.real
             for index in range(len(other.duals				)				):
                    new_duals[index] += other.duals[index] * self.real
             return Dual(self.real * other.real				,    lowercase__				)

      _lowerCAmelCase     :   List[str]	     =				__mul__







      def __truediv__(  self   :      List[str]				,    lowerCAmelCase__   :      List[str]				):

             """simple docstring"""






             if not isinstance(lowercase__				,    lowercase__				):
                    SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			[]
                    for i in self.duals:
                           new_duals.append(i / other				)
                    return Dual(self.real / other				,    lowercase__				)
             raise ValueError







      def __floordiv__(  self   :      Optional[Any]				,    lowerCAmelCase__   :      List[str]				):

             """simple docstring"""






             if not isinstance(lowercase__				,    lowercase__				):
                    SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			[]
                    for i in self.duals:
                           new_duals.append(i // other				)
                    return Dual(self.real // other				,    lowercase__				)
             raise ValueError







      def __pow__(  self   :      int				,    lowerCAmelCase__   :      Optional[int]				):

             """simple docstring"""






             if n < 0 or isinstance(lowercase__				,    lowercase__				):
                    raise ValueError('''power must be a positive integer'''				)
             if n == 0:
                    return 1
             if n == 1:
                    return self
             SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			self
             for _ in range(n - 1				):
                    x *= self
             return x


def 					UpperCAmelCase   (						A  :				Union[str, Any]					,		A  :				int					,		A  :				int				):

       if not callable(SCREAMING_SNAKE_CASE_				):
              raise ValueError('''differentiate() requires a function as input for func'''				)
       if not isinstance(SCREAMING_SNAKE_CASE_					,		(float, int)				):
              raise ValueError('''differentiate() requires a float as input for position'''				)
       if not isinstance(SCREAMING_SNAKE_CASE_					,		SCREAMING_SNAKE_CASE_				):
              raise ValueError('''differentiate() requires an int as input for order'''				)
       SCREAMING_SNAKE_CASE					:      List[str]     					=			Dual(SCREAMING_SNAKE_CASE_					,		1				)
       SCREAMING_SNAKE_CASE					:      Dict     					=			func(SCREAMING_SNAKE_CASE_				)
       if order == 0:
              return result.real
       return result.duals[order - 1] * factorial(SCREAMING_SNAKE_CASE_				)


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       def 					UpperCAmelCase   (						A  :				int				):
              return y**2 * y**4






       print(differentiate(f, 9, 2))









'''simple docstring'''



from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowerCAmelCase_     :       Optional[int]								=						logging.get_logger(__name__)

lowerCAmelCase_     :       Optional[Any]								=						{
    'microsoft/swinv2-tiny-patch4-window8-256': (
        'https://huggingface.co/microsoft/swinv2-tiny-patch4-window8-256/resolve/main/config.json'
    ),
}
class 	lowerCamelCase_							(					snake_case_			):
						_lowerCAmelCase     :   str	     =				'swinv2'

						_lowerCAmelCase     :   Optional[int]	     =				{
						    'num_attention_heads': 'num_heads',
						    'num_hidden_layers': 'num_layers',
						}







						def __init__(  self   :      Optional[int]				,    lowerCAmelCase__   :      Any=2_24				,    lowerCAmelCase__   :      Optional[Any]=4				,    lowerCAmelCase__   :      Tuple=3				,    lowerCAmelCase__   :      Tuple=96				,    lowerCAmelCase__   :      Optional[int]=[2, 2, 6, 2]				,    lowerCAmelCase__   :      Tuple=[3, 6, 12, 24]				,    lowerCAmelCase__   :      List[str]=7				,    lowerCAmelCase__   :      Tuple=4.0				,    lowerCAmelCase__   :      Dict=True				,    lowerCAmelCase__   :      Any=0.0				,    lowerCAmelCase__   :      Optional[int]=0.0				,    lowerCAmelCase__   :      Optional[Any]=0.1				,    lowerCAmelCase__   :      int="gelu"				,    lowerCAmelCase__   :      Tuple=False				,    lowerCAmelCase__   :      Tuple=0.02				,    lowerCAmelCase__   :      Dict=1e-5				,    lowerCAmelCase__   :      List[str]=32				,    **lowerCAmelCase__   :      Union[str, Any]				,    ):

													"""simple docstring"""
													super().__init__(**lowerCAmelCase__				)

													SCREAMING_SNAKE_CASE					:      int     					=			image_size
													SCREAMING_SNAKE_CASE					:      Optional[int]     					=			patch_size
													SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			num_channels
													SCREAMING_SNAKE_CASE					:      int     					=			embed_dim
													SCREAMING_SNAKE_CASE					:      List[Any]     					=			depths
													SCREAMING_SNAKE_CASE					:      str     					=			len(lowerCAmelCase__				)
													SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			num_heads
													SCREAMING_SNAKE_CASE					:      Tuple     					=			window_size
													SCREAMING_SNAKE_CASE					:      Any     					=			mlp_ratio
													SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			qkv_bias
													SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			hidden_dropout_prob
													SCREAMING_SNAKE_CASE					:      int     					=			attention_probs_dropout_prob
													SCREAMING_SNAKE_CASE					:      List[str]     					=			drop_path_rate
													SCREAMING_SNAKE_CASE					:      Any     					=			hidden_act
													SCREAMING_SNAKE_CASE					:      List[Any]     					=			use_absolute_embeddings
													SCREAMING_SNAKE_CASE					:      List[str]     					=			layer_norm_eps
													SCREAMING_SNAKE_CASE					:      Union[str, Any]     					=			initializer_range
													SCREAMING_SNAKE_CASE					:      Dict     					=			encoder_stride
													# we set the hidden_size attribute in order to make Swinv2 work with VisionEncoderDecoderModel
													# this indicates the channel dimension after the last stage of the model
													SCREAMING_SNAKE_CASE					:      Optional[Any]     					=			int(embed_dim * 2 ** (len(lowerCAmelCase__				) - 1)				)
													SCREAMING_SNAKE_CASE					:      int     					=			(0, 0, 0, 0)




