
'''simple docstring'''





import numpy

# List of input, output pairs
lowercase__	:str										=					(
    ((5, 2, 3), 15),
    ((6, 5, 9), 25),
    ((11, 12, 13), 41),
    ((1, 1, 1), 8),
    ((11, 12, 13), 41),
)
lowercase__	:Dict										=					(((515, 22, 13), 555), ((61, 35, 49), 150))
lowercase__	:Tuple										=					[2, 4, 1, 5]
lowercase__	:Any										=					len(train_data)
lowercase__	:int										=					0.009



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__="train"	):
					'''simple docstring'''
					return calculate_hypothesis_value(_lowerCamelCase				,    _lowerCamelCase	) - output(
					    _lowerCamelCase				,    _lowerCamelCase	)



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					lowercase					=		0
					for i in range(len(_lowerCamelCase	) - 1	):
										hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
					hyp_val += parameter_vector[0]
					return hyp_val



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					if data_set == "train":
										return train_data[example_no][1]
					elif data_set == "test":
										return test_data[example_no][1]
					return None



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					if data_set == "train":
										return _hypothesis_value(train_data[example_no][0]	)
					elif data_set == "test":
										return _hypothesis_value(test_data[example_no][0]	)
					return None



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__=m	):
					'''simple docstring'''
					lowercase					=		0
					for i in range(_lowerCamelCase	):
										if index == -1:
															summation_value += _error(_lowerCamelCase	)
										else:
															summation_value += _error(_lowerCamelCase	) * train_data[i][0][index]
					return summation_value



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					lowercase					=		summation_of_cost_derivative(_lowerCamelCase				,    _lowerCamelCase	) / m
					return cost_derivative_value



def  UpperCamelCase					(							):
					'''simple docstring'''
					global parameter_vector
					# Tune these values to set a tolerance value for predicted output
					lowercase					=		0.00_00_02
					lowercase					=		0
					lowercase					=		0
					while True:
										j += 1
										lowercase					=		[0, 0, 0, 0]
										for i in range(0				,    len(_lowerCamelCase	)	):
															lowercase					=		get_cost_derivative(i - 1	)
															lowercase					=		(
															    parameter_vector[i] - LEARNING_RATE * cost_derivative
															)
										if numpy.allclose(
										    _lowerCamelCase				,    _lowerCamelCase				,    atol=_lowerCamelCase				,    rtol=_lowerCamelCase				,    ):
															break
										lowercase					=		temp_parameter_vector
					print(('''Number of iterations:''', j)	)



def  UpperCamelCase					(							):
					'''simple docstring'''
					for i in range(len(_lowerCamelCase	)	):
										print(('''Actual output value:''', output(_lowerCamelCase				,    '''test'''	))	)
										print(('''Hypothesis output:''', calculate_hypothesis_value(_lowerCamelCase				,    '''test'''	))	)


if __name__ == "__main__":
							run_gradient_descent()
							print("\nTesting gradient descent for a linear hypothesis function.\n")
							test_gradient_descent()






class        lowercase	:




							def __init__(       self     ,A__):
												lowercase					=		val
												lowercase					=		None
												lowercase					=		None





							def 				A__   (       self     ,A__):
												if self.val:
																	if val < self.val:
																						if self.left is None:
																											lowercase					=		Node(A__)
																						else:
																											self.left.insert(A__)
																	elif val > self.val:
																						if self.right is None:
																											lowercase					=		Node(A__)
																						else:
																											self.right.insert(A__)
												else:
																	lowercase					=		val



def  UpperCamelCase					(							lowerCAmelCase__				,    lowerCAmelCase__	):
					'''simple docstring'''
					# Recursive traversal
					if root:
										inorder(root.left				,    lowerCAmelCase__	)
										res.append(root.val	)
										inorder(root.right				,    lowerCAmelCase__	)



def  UpperCamelCase					(							lowerCAmelCase__	):
					'''simple docstring'''
					# Build BST
					if len(lowerCAmelCase__	) == 0:
										return arr
					lowercase					=		Node(arr[0]	)
					for i in range(1				,    len(lowerCAmelCase__	)	):
										root.insert(arr[i]	)
					# Traverse BST in order.
					lowercase					=		[]
					inorder(lowerCAmelCase__				,    lowerCAmelCase__	)
					return res


if __name__ == "__main__":
							print(tree_sort([10, 1, 3, 2, 9, 14, 13]))




