


import numpy as np





class 					lowercase__						:





							'''simple docstring'''


							def __init__(					self					,      __snake_case=5					,      __snake_case=5						):
											_SCREAMING_SNAKE_CASE				: List[Any]  	=   depth
											_SCREAMING_SNAKE_CASE				: Any  	=   0
											_SCREAMING_SNAKE_CASE				: Optional[int]  	=   None
											_SCREAMING_SNAKE_CASE				: Tuple  	=   None
											_SCREAMING_SNAKE_CASE				: Tuple  	=   min_leaf_size
											_SCREAMING_SNAKE_CASE				: Optional[int]  	=   None






							def UpperCAmelCase_			(					self					,      __snake_case					,      __snake_case						):
											if labels.ndim != 1:
															print("""Error: Input labels must be one dimensional"""						)

											return np.mean((labels - prediction) ** 2						)






							def UpperCAmelCase_			(					self					,      __snake_case					,      __snake_case						):
											if x.ndim != 1:
															print("""Error: Input data set must be one dimensional"""						)
															return
											if len(UpperCamelCase__						) != len(UpperCamelCase__						):
															print("""Error: X and y have different lengths"""						)
															return
											if y.ndim != 1:
															print("""Error: Data set labels must be one dimensional"""						)
															return

											if len(UpperCamelCase__						) < 2 * self.min_leaf_size:
															_SCREAMING_SNAKE_CASE				: Optional[Any]  	=   np.mean(UpperCamelCase__						)
															return

											if self.depth == 1:
															_SCREAMING_SNAKE_CASE				: int  	=   np.mean(UpperCamelCase__						)
															return

											_SCREAMING_SNAKE_CASE				: str  	=   0
											_SCREAMING_SNAKE_CASE				: List[str]  	=   self.mean_squared_error(UpperCamelCase__					,      np.mean(UpperCamelCase__						)						) * 2
											for i in range(len(UpperCamelCase__						)						):
															if len(x[:i]						) < self.min_leaf_size:
																			continue
															elif len(x[i:]						) < self.min_leaf_size:
																			continue
															else:
																			_SCREAMING_SNAKE_CASE				: str  	=   self.mean_squared_error(x[:i]					,      np.mean(y[:i]						)						)
																			_SCREAMING_SNAKE_CASE				: Optional[Any]  	=   self.mean_squared_error(x[i:]					,      np.mean(y[i:]						)						)
																			_SCREAMING_SNAKE_CASE				: List[str]  	=   error_left + error_right
																			if error < min_error:
																							_SCREAMING_SNAKE_CASE				: Optional[int]  	=   i
																							_SCREAMING_SNAKE_CASE				: Union[str, Any]  	=   error

											if best_split != 0:
															_SCREAMING_SNAKE_CASE				: Dict  	=   x[:best_split]
															_SCREAMING_SNAKE_CASE				: Optional[int]  	=   y[:best_split]
															_SCREAMING_SNAKE_CASE				: Tuple  	=   x[best_split:]
															_SCREAMING_SNAKE_CASE				: List[Any]  	=   y[best_split:]

															_SCREAMING_SNAKE_CASE				: Dict  	=   x[best_split]
															_SCREAMING_SNAKE_CASE				: Any  	=   DecisionTree(
															    depth=self.depth - 1					,      min_leaf_size=self.min_leaf_size						)
															_SCREAMING_SNAKE_CASE				: List[Any]  	=   DecisionTree(
															    depth=self.depth - 1					,      min_leaf_size=self.min_leaf_size						)
															self.left.train(UpperCamelCase__					,      UpperCamelCase__						)
															self.right.train(UpperCamelCase__					,      UpperCamelCase__						)
											else:
															_SCREAMING_SNAKE_CASE				: int  	=   np.mean(UpperCamelCase__						)

											return






							def UpperCAmelCase_			(					self					,      __snake_case						):
											if self.prediction is not None:
															return self.prediction
											elif self.left or self.right is not None:
															if x >= self.decision_boundary:
																			return self.right.predict(UpperCamelCase__						)
															else:
																			return self.left.predict(UpperCamelCase__						)
											else:
															print("""Error: Decision tree not yet trained"""						)
															return None





class 					lowercase__						:





							'''simple docstring'''


							@staticmethod
							def UpperCAmelCase_			(					__snake_case					,      __snake_case						):
											_SCREAMING_SNAKE_CASE				: Dict  	=   float(0						)
											for label in labels:
															squared_error_sum += (label - prediction) ** 2

											return float(squared_error_sum / labels.size						)







def     snake_case_     (						):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE				: Optional[Any]  	=   np.arange(-1.0							,   1.0							,   0.0_0_5  )
				_SCREAMING_SNAKE_CASE				: int  	=   np.sin(SCREAMING_SNAKE_CASE__  )

				_SCREAMING_SNAKE_CASE				: List[str]  	=   DecisionTree(depth=10							,   min_leaf_size=10  )
				tree.train(SCREAMING_SNAKE_CASE__							,   SCREAMING_SNAKE_CASE__  )

				_SCREAMING_SNAKE_CASE				: Any  	=   (np.random.rand(10  ) * 2) - 1
				_SCREAMING_SNAKE_CASE				: Any  	=   np.array([tree.predict(SCREAMING_SNAKE_CASE__  ) for x in test_cases]  )
				_SCREAMING_SNAKE_CASE				: str  	=   np.mean((predictions - test_cases) ** 2  )

				print("""Test values: """ + str(SCREAMING_SNAKE_CASE__  )  )
				print("""Predictions: """ + str(SCREAMING_SNAKE_CASE__  )  )
				print("""Average error: """ + str(SCREAMING_SNAKE_CASE__  )  )


if __name__ == "__main__":
				main()
				import doctest

				doctest.testmod(name='mean_squarred_error', verbose=True)








'''simple docstring'''


from ..utils import DummyObject, requires_backends





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   str   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Union[str, Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Tuple   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Tuple   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   str   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Dict   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   str   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   str   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Tuple   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   int   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Tuple   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Dict   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[int]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Union[str, Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Dict   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Tuple   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[str]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Any   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Dict   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Union[str, Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   Optional[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)





class 					lowercase__						(		metaclass=_snake_case      ):





							'''simple docstring'''


							A_							:   List[Any]   			=						["""tokenizers"""]






							def __init__(					self					,      *__snake_case					,      **__snake_case						):
											requires_backends(self					,      ["""tokenizers"""]						)




