


'''simple docstring'''
from typing import Any

import numpy as np


def 			a      (			__a   )  ->	bool:



					'''simple docstring'''






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


def 			a      (			__a ,					__a   )  ->	Any:



					'''simple docstring'''






					UpperCamelCase__   :Dict												= v.conjugate().T
					UpperCamelCase__   :Optional[Any]												= v_star.dot(__a   )
					assert isinstance(__a ,					np.ndarray   )
					return (v_star_dot.dot(__a   )) / (v_star.dot(__a   ))


def 			a      (			)  ->	None:



					'''simple docstring'''






					UpperCamelCase__   :Any												= np.array([[2, 2 + 1J, 4], [2 - 1J, 3, 1J], [4, -1J, 1]]   )
					UpperCamelCase__   :Tuple												= np.array([[1], [2], [3]]   )
					assert is_hermitian(__a   ), f'''{a} is not hermitian.'''
					print(rayleigh_quotient(__a ,					__a   )   )

					UpperCamelCase__   :Any												= 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 ...configuration_utils import PretrainedConfig
from ...utils import logging


snake_case_ : Any    		=       logging.get_logger(__name__)

snake_case_ : Optional[Any]    		=       {
    "tiiuae/falcon-40b": "https://huggingface.co/tiiuae/falcon-40b/resolve/main/config.json",
    "tiiuae/falcon-7b": "https://huggingface.co/tiiuae/falcon-7b/resolve/main/config.json",
}







class __snake_case			(			a		):
   UpperCAmelCase__  :    Optional[Any]          =  '''falcon'''
   UpperCAmelCase__  :    List[Any]          =  ['''past_key_values''']







   def __init__(      self		:						Union[str, Any]					,						_snake_case		:						List[str]=65024					,						_snake_case		:						int=4544					,						_snake_case		:						int=32					,						_snake_case		:						Any=71					,						_snake_case		:						int=1e-5					,						_snake_case		:						Dict=0.0_2					,						_snake_case		:						int=True					,						_snake_case		:						List[Any]=0.0					,						_snake_case		:						Tuple=0.0					,						_snake_case		:						int=None					,						_snake_case		:						Tuple=False					,						_snake_case		:						Any=False					,						_snake_case		:						str=True					,						_snake_case		:						Any=True					,						_snake_case		:						List[str]=False					,						_snake_case		:						Tuple=11					,						_snake_case		:						Dict=11					,						**_snake_case		:						Optional[int]					,						):

        """simple docstring"""


        UpperCAmelCase_          =							vocab_size
        # Backward compatibility with n_embed kwarg
        UpperCAmelCase_          =							kwargs.pop('''n_embed'''					,						_snake_case)
        UpperCAmelCase_          =							hidden_size if n_embed is None else n_embed
        UpperCAmelCase_          =							num_hidden_layers
        UpperCAmelCase_          =							num_attention_heads
        UpperCAmelCase_          =							layer_norm_epsilon
        UpperCAmelCase_          =							initializer_range
        UpperCAmelCase_          =							use_cache
        UpperCAmelCase_          =							hidden_dropout
        UpperCAmelCase_          =							attention_dropout

        UpperCAmelCase_          =							bos_token_id
        UpperCAmelCase_          =							eos_token_id
        UpperCAmelCase_          =							num_attention_heads if num_kv_heads is None else num_kv_heads
        UpperCAmelCase_          =							alibi
        UpperCAmelCase_          =							new_decoder_architecture
        UpperCAmelCase_          =							multi_query  # Ignored when new_decoder_architecture is True
        UpperCAmelCase_          =							parallel_attn
        UpperCAmelCase_          =							bias

        super().__init__(bos_token_id=_snake_case					,						eos_token_id=_snake_case					,						**_snake_case)







   @property
   def lowerCamelCase						(      self		:						List[Any]):

        """simple docstring"""


        return self.hidden_size // self.num_attention_heads







   @property
   def lowerCamelCase						(      self		:						Union[str, Any]):

        """simple docstring"""


        return not self.alibi






