






"""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       __A		(   unittest.TestCase			):

					@slow
					def   lowerCamelCase__   (			self  :      Union[str, Any]					)			->							Optional[int]:
											__magic_name__:	Dict							=       AutoModelForSeqaSeqLM.from_pretrained("""google/mt5-small"""     ,		return_dict=_SCREAMING_SNAKE_CASE					).to(_SCREAMING_SNAKE_CASE					)
											__magic_name__:	int							=       AutoTokenizer.from_pretrained("""google/mt5-small"""					)

											__magic_name__:	Union[str, Any]							=       tokenizer("""Hello there"""     ,		return_tensors="""pt"""					).input_ids
											__magic_name__:	List[Any]							=       tokenizer("""Hi I am"""     ,		return_tensors="""pt"""					).input_ids

											__magic_name__:	Dict							=       model(input_ids.to(_SCREAMING_SNAKE_CASE					)     ,		labels=labels.to(_SCREAMING_SNAKE_CASE					)					).loss
											__magic_name__:	Tuple							=       -(labels.shape[-1] * loss.item())

											__magic_name__:	int							=       -84.9127
											self.assertTrue(abs(mtf_score - EXPECTED_SCORE					) < 1E-4					)








"""simple docstring"""






def      _lowercase							(    __snake_case      )		->  float:
			return 10 - x * x


def      _lowercase							(    __snake_case   ,__snake_case      )		->  float:
			# Bolzano theory in order to find if there is a root between a and b
			if equation(__snake_case      ) * equation(__snake_case      ) >= 0:
						raise ValueError("Wrong space!"      )

			__lowerCAmelCase :    List[Any]				=			a
			while (b - a) >= 0.01:
						# Find middle point
						__lowerCAmelCase :    str				=			(a + b) / 2
						# Check if middle point is root
						if equation(__snake_case      ) == 0.0:
									break
						# Decide the side to repeat the steps
						if equation(__snake_case      ) * equation(__snake_case      ) < 0:
									__lowerCAmelCase :    List[Any]				=			c
						else:
									__lowerCAmelCase :    List[str]				=			c
			return c


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	print(bisection(-2, 5))
	print(bisection(0, 6))