






import warnings

from ...utils import is_sklearn_available, requires_backends


if is_sklearn_available():
	from scipy.stats import pearsonr, spearmanr
	from sklearn.metrics import fa_score, matthews_corrcoef


lowerCAmelCase_           = (
    'This metric will be removed from the library soon, metrics should be handled with the 🤗 Evaluate '
    'library. You can have a look at this example script for pointers: '
    'https://github.com/huggingface/transformers/blob/main/examples/pytorch/text-classification/run_glue.py'
)







def      snake_case		(							UpperCAmelCase	:       Optional[Any],						UpperCAmelCase	:       Optional[int]   ):
				warnings.warn(UpperCAmelCase,						UpperCAmelCase   )
				requires_backends(UpperCAmelCase,						'sklearn'   )
				return (preds == labels).mean()







def      snake_case		(							UpperCAmelCase	:       Tuple,						UpperCAmelCase	:       Tuple   ):
				warnings.warn(UpperCAmelCase,						UpperCAmelCase   )
				requires_backends(UpperCAmelCase,						'sklearn'   )
				A	 =      simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )
				A	 =      fa_score(y_true=UpperCAmelCase,						y_pred=UpperCAmelCase   )
				return {
				    "acc": acc,
				    "f1": fa,
				    "acc_and_f1": (acc + fa) / 2,
				}







def      snake_case		(							UpperCAmelCase	:       Tuple,						UpperCAmelCase	:       Dict   ):
				warnings.warn(UpperCAmelCase,						UpperCAmelCase   )
				requires_backends(UpperCAmelCase,						'sklearn'   )
				A	 =      pearsonr(UpperCAmelCase,						UpperCAmelCase   )[0]
				A	 =      spearmanr(UpperCAmelCase,						UpperCAmelCase   )[0]
				return {
				    "pearson": pearson_corr,
				    "spearmanr": spearman_corr,
				    "corr": (pearson_corr + spearman_corr) / 2,
				}







def      snake_case		(							UpperCAmelCase	:       str,						UpperCAmelCase	:       List[Any],						UpperCAmelCase	:       List[str]   ):
				warnings.warn(UpperCAmelCase,						UpperCAmelCase   )
				requires_backends(UpperCAmelCase,						'sklearn'   )
				assert len(UpperCAmelCase   ) == len(UpperCAmelCase   ), f'Predictions and labels have mismatched lengths {len(UpperCAmelCase   )} and {len(UpperCAmelCase   )}'
				if task_name == "cola":
								return {"mcc": matthews_corrcoef(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "sst-2":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "mrpc":
								return acc_and_fa(UpperCAmelCase,						UpperCAmelCase   )
				elif task_name == "sts-b":
								return pearson_and_spearman(UpperCAmelCase,						UpperCAmelCase   )
				elif task_name == "qqp":
								return acc_and_fa(UpperCAmelCase,						UpperCAmelCase   )
				elif task_name == "mnli":
								return {"mnli/acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "mnli-mm":
								return {"mnli-mm/acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "qnli":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "rte":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "wnli":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				elif task_name == "hans":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				else:
								raise KeyError(UpperCAmelCase   )







def      snake_case		(							UpperCAmelCase	:       Optional[Any],						UpperCAmelCase	:       Optional[int],						UpperCAmelCase	:       Optional[Any]   ):
				warnings.warn(UpperCAmelCase,						UpperCAmelCase   )
				requires_backends(UpperCAmelCase,						'sklearn'   )
				if len(UpperCAmelCase   ) != len(UpperCAmelCase   ):
								raise ValueError(f'Predictions and labels have mismatched lengths {len(UpperCAmelCase   )} and {len(UpperCAmelCase   )}'   )
				if task_name == "xnli":
								return {"acc": simple_accuracy(UpperCAmelCase,						UpperCAmelCase   )}
				else:
								raise KeyError(UpperCAmelCase   )













from math import factorial
class      UpperCamelCase :







		"""simple docstring"""



		def __init__(  self		:       Any						,_SCREAMING_SNAKE_CASE		:       List[Any]						,_SCREAMING_SNAKE_CASE		:       List[str]		)    ->   List[str]:


						'''simple docstring'''
						A	 =      real
						if isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										A	 =      [1] * rank
						else:
										A	 =      rank
		def __repr__(  self		:       Any		)    ->   Optional[Any]:


						'''simple docstring'''
						return (
						    f'{self.real}+'
						    f'{"+".join(str(_SCREAMING_SNAKE_CASE		)+"E"+str(n+1		)for n,dual in enumerate(self.duals		)		)}'
						)
		def       A(  self		:       Optional[Any]		)    ->   Tuple:


						'''simple docstring'''
						A	 =      self.duals.copy()
						while cur[-1] == 0:
										cur.pop(-1		)
						return Dual(self.real						,_SCREAMING_SNAKE_CASE		)
		def __add__(  self		:       Optional[Any]						,_SCREAMING_SNAKE_CASE		:       int		)    ->   Any:


						'''simple docstring'''
						if not isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										return Dual(self.real + other						,self.duals		)
						A	 =      self.duals.copy()
						A	 =      other.duals.copy()
						if len(_SCREAMING_SNAKE_CASE		) > len(_SCREAMING_SNAKE_CASE		):
										o_dual.extend([1] * (len(_SCREAMING_SNAKE_CASE		) - len(_SCREAMING_SNAKE_CASE		))		)
						elif len(_SCREAMING_SNAKE_CASE		) < len(_SCREAMING_SNAKE_CASE		):
										s_dual.extend([1] * (len(_SCREAMING_SNAKE_CASE		) - len(_SCREAMING_SNAKE_CASE		))		)
						A	 =      []
						for i in range(len(_SCREAMING_SNAKE_CASE		)		):
										new_duals.append(s_dual[i] + o_dual[i]		)
						return Dual(self.real + other.real						,_SCREAMING_SNAKE_CASE		)

		snake_case    =   __add__
		def __sub__(  self		:       Tuple						,_SCREAMING_SNAKE_CASE		:       Dict		)    ->   Optional[Any]:


						'''simple docstring'''
						return self + other * -1
		def __mul__(  self		:       Any						,_SCREAMING_SNAKE_CASE		:       Union[str, Any]		)    ->   Union[str, Any]:


						'''simple docstring'''
						if not isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										A	 =      []
										for i in self.duals:
														new_duals.append(i * other		)
										return Dual(self.real * other						,_SCREAMING_SNAKE_CASE		)
						A	 =      [0] * (len(self.duals		) + len(other.duals		) + 1)
						for i, item in enumerate(self.duals		):
										for j, jtem in enumerate(other.duals		):
														new_duals[i + j + 1] += item * jtem
						for k in range(len(self.duals		)		):
										new_duals[k] += self.duals[k] * other.real
						for index in range(len(other.duals		)		):
										new_duals[index] += other.duals[index] * self.real
						return Dual(self.real * other.real						,_SCREAMING_SNAKE_CASE		)

		snake_case    =   __mul__
		def __truediv__(  self		:       Union[str, Any]						,_SCREAMING_SNAKE_CASE		:       int		)    ->   List[str]:


						'''simple docstring'''
						if not isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										A	 =      []
										for i in self.duals:
														new_duals.append(i / other		)
										return Dual(self.real / other						,_SCREAMING_SNAKE_CASE		)
						raise ValueError
		def __floordiv__(  self		:       Any						,_SCREAMING_SNAKE_CASE		:       Any		)    ->   Dict:


						'''simple docstring'''
						if not isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										A	 =      []
										for i in self.duals:
														new_duals.append(i // other		)
										return Dual(self.real // other						,_SCREAMING_SNAKE_CASE		)
						raise ValueError







		def __pow__(  self		:       int						,_SCREAMING_SNAKE_CASE		:       Union[str, Any]		)    ->   str:


						'''simple docstring'''
						if n < 0 or isinstance(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		):
										raise ValueError('power must be a positive integer'		)
						if n == 0:
										return 1
						if n == 1:
										return self
						A	 =      self
						for _ in range(n - 1		):
										x *= self
						return x







def      snake_case		(							UpperCAmelCase	:       Optional[int],						UpperCAmelCase	:       List[Any],						UpperCAmelCase	:       int   ):
				if not callable(UpperCAmelCase   ):
								raise ValueError('differentiate() requires a function as input for func'   )
				if not isinstance(UpperCAmelCase,						(float, int)   ):
								raise ValueError('differentiate() requires a float as input for position'   )
				if not isinstance(UpperCAmelCase,						UpperCAmelCase   ):
								raise ValueError('differentiate() requires an int as input for order'   )
				A	 =      Dual(UpperCAmelCase,						1   )
				A	 =      func(UpperCAmelCase   )
				if order == 0:
								return result.real
				return result.duals[order - 1] * factorial(UpperCAmelCase   )


if __name__ == "__main__":
					import doctest

					doctest.testmod()







					def      snake_case		(							UpperCAmelCase	:       int   ):
									return y**2 * y**4



					print(differentiate(f, 9, 2))





