





from transformers import HfArgumentParser, TensorFlowBenchmark, TensorFlowBenchmarkArguments




def      a__			(       ):






   '''simple docstring'''






   UpperCAmelCase_           =HfArgumentParser(lowercase__	)
   UpperCAmelCase_           =parser.parse_args_into_dataclasses()[0]
   UpperCAmelCase_           =TensorFlowBenchmark(args=lowercase__	)
   try:
      UpperCAmelCase_           =parser.parse_args_into_dataclasses()[0]
   except ValueError as e:
      UpperCAmelCase_           ="Arg --no_{0} is no longer used, please use --no-{0} instead."
      UpperCAmelCase_           =" ".join(str(lowercase__	).split(" "	)[:-1]	)
      UpperCAmelCase_           =""
      UpperCAmelCase_           =eval(str(lowercase__	).split(" "	)[-1]	)
      UpperCAmelCase_           =[]
      for arg in depreciated_args:
         # arg[2:] removes '--'
         if arg[2:] in TensorFlowBenchmark.deprecated_args:
            # arg[5:] removes '--no_'
            full_error_msg += arg_error_msg.format(arg[5:]	)
         else:
            wrong_args.append(lowercase__	)
      if len(lowercase__	) > 0:
         UpperCAmelCase_           =full_error_msg + begin_error_msg + str(lowercase__	)
      raise ValueError(lowercase__	)
   benchmark.run()


if __name__ == "__main__":
     main()







from typing import Any

import numpy as np





def 	__a     (      A__			:  np.ndarray       ):
    return np.array_equal(A__			,  matrix.conjugate().T       )





def 	__a     (      A__			:  np.ndarray			,  A__			:  np.ndarray       ):
    SCREAMING_SNAKE_CASE										=   v.conjugate().T
    SCREAMING_SNAKE_CASE										=   v_star.dot(A__       )
    assert isinstance(A__			,  np.ndarray       )
    return (v_star_dot.dot(A__       )) / (v_star.dot(A__       ))





def 	__a     (      ):
    SCREAMING_SNAKE_CASE										=   np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]       )
    SCREAMING_SNAKE_CASE										=   np.array([[1], [2], [3]]       )
    assert is_hermitian(A__       ), F"{a} is not hermitian."
    print(rayleigh_quotient(A__			,  A__       )       )

    SCREAMING_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()