
"""simple docstring"""




import unittest

from transformers import is_torch_available
from transformers.testing_utils import require_sentencepiece, require_tokenizers, require_torch, slow, torch_device


if is_torch_available():
  from transformers import AutoModelForSeqaSeqLM, AutoTokenizer


@require_torch
@require_sentencepiece
@require_tokenizers
class 			__magic_name__       (       unittest.TestCase ):
       @slow
       def 							lowercase_							(     self       )     ->	Union[str, Any]:





         """simple docstring"""




         _lowercase:			str       =     AutoModelForSeqaSeqLM.from_pretrained('''google/mt5-small''' ,				return_dict=lowercase__       ).to(lowercase__       )
         _lowercase:			List[Any]       =     AutoTokenizer.from_pretrained('''google/mt5-small'''       )

         _lowercase:			Dict       =     tokenizer('''Hello there''' ,				return_tensors='''pt'''       ).input_ids
         _lowercase:			Tuple       =     tokenizer('''Hi I am''' ,				return_tensors='''pt'''       ).input_ids

         _lowercase:			Tuple       =     model(input_ids.to(lowercase__       ) ,				labels=labels.to(lowercase__       )       ).loss
         _lowercase:			Optional[int]       =     -(labels.shape[-1] * loss.item())

         _lowercase:			Any       =     -84.91_27
         self.assertTrue(abs(mtf_score - EXPECTED_SCORE       ) < 1E-4       )


"""simple docstring"""




from typing import Any

import numpy as np




def  _lowerCAmelCase		(		_UpperCamelCase						):






  """simple docstring"""



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




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			str       =     v.conjugate().T
  _lowercase:			List[Any]       =     v_star.dot(_UpperCamelCase						)
  assert isinstance(_UpperCamelCase ,				np.ndarray						)
  return (v_star_dot.dot(_UpperCamelCase						)) / (v_star.dot(_UpperCamelCase						))




def  _lowerCAmelCase		(		):






  """simple docstring"""



  _lowercase:			int       =     np.array([[2, 2 + 1j, 4], [2 - 1j, 3, 1j], [4, -1j, 1]]						)
  _lowercase:			str       =     np.array([[1], [2], [3]]						)
  assert is_hermitian(_UpperCamelCase						), f'''{a} is not hermitian.'''
  print(rayleigh_quotient(_UpperCamelCase ,				_UpperCamelCase						)						)

  _lowercase:			Any       =     np.array([[1, 2, 4], [2, 3, -1], [4, -1, 1]]						)
  assert is_hermitian(_UpperCamelCase						), f'''{a} is not hermitian.'''
  assert rayleigh_quotient(_UpperCamelCase ,				_UpperCamelCase						) == float(3						)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  tests()
