
from typing import Any

import numpy as np



def 		lowercase_    (     A__	)							->							Any:
    """simple docstring"""

    return np.array_equal(A__				,	matrix.conjugate().T	)



def 		lowercase_    (     A__				,	A__	)							->							List[Any]:
    """simple docstring"""

    snake_case				  =      v.conjugate().T
    snake_case				  =      v_star.dot(A__	)
    assert isinstance(A__				,	np.ndarray	)
    return (v_star_dot.dot(A__	)) / (v_star.dot(A__	))



def 		lowercase_    (     )							->							Tuple:
    """simple docstring"""

    snake_case				  =      np.array([[2, 2 + 1J, 4], [2 - 1J, 3, 1J], [4, -1J, 1]]	)
    snake_case				  =      np.array([[1], [2], [3]]	)
    assert is_hermitian(A__	), F'{a} is not hermitian.'
    print(rayleigh_quotient(A__				,	A__	)	)

    snake_case				  =      np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]	)
    assert is_hermitian(A__	), F'{a} is not hermitian.'
    assert rayleigh_quotient(A__				,	A__	) == float(3	)


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    tests()



from collections import OrderedDict
from typing import Mapping

from packaging import version

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import logging


_A						      =				logging.get_logger(__name__)

_A						      =				{
    "sail/poolformer_s12": "https://huggingface.co/sail/poolformer_s12/resolve/main/config.json",
    # See all PoolFormer models at https://huggingface.co/models?filter=poolformer
}







class   lowerCamelCase	(						A_						):
     UpperCAmelCase__       :							Any     =	"poolformer"





     def __init__(self   :					Optional[int]       ,					_A   :					Optional[Any]=3       ,					_A   :					Optional[int]=1_6       ,					_A   :					Dict=1_6       ,					_A   :					Tuple=3       ,					_A   :					Tuple=4.0       ,					_A   :					int=[2, 2, 6, 2]       ,					_A   :					Dict=[6_4, 1_2_8, 3_2_0, 5_1_2]       ,					_A   :					int=[7, 3, 3, 3]       ,					_A   :					List[str]=[4, 2, 2, 2]       ,					_A   :					str=[2, 1, 1, 1]       ,					_A   :					List[Any]=4       ,					_A   :					Any=0.0       ,					_A   :					Optional[Any]="gelu"       ,					_A   :					Optional[Any]=True       ,					_A   :					List[str]=1E-5       ,					_A   :					List[str]=0.02       ,					**_A   :					str       ,					)		->		Tuple:
         snake_case				  =      num_channels
         snake_case				  =      patch_size
         snake_case				  =      stride
         snake_case				  =      padding
         snake_case				  =      pool_size
         snake_case				  =      hidden_sizes
         snake_case				  =      mlp_ratio
         snake_case				  =      depths
         snake_case				  =      patch_sizes
         snake_case				  =      strides
         snake_case				  =      num_encoder_blocks
         snake_case				  =      drop_path_rate
         snake_case				  =      hidden_act
         snake_case				  =      use_layer_scale
         snake_case				  =      layer_scale_init_value
         snake_case				  =      initializer_range
         super().__init__(**_A     )







class   lowerCamelCase	(						A_						):
     UpperCAmelCase__       :							Tuple     =	version.parse("1.11"						)





     @property
     def 	UpperCAmelCase(self   :					int     )		->		Mapping[str, Mapping[int, str]]:
         return OrderedDict(
             [
                 ("pixel_values", {0: "batch", 1: "num_channels", 2: "height", 3: "width"}),
             ]     )





     @property
     def 	UpperCAmelCase(self   :					int     )		->		float:
         return 2E-3

