


import numpy

# List of input, output pairs
__lowerCAmelCase		       =							(
    ((5, 2, 3), 15),
    ((6, 5, 9), 25),
    ((11, 12, 13), 41),
    ((1, 1, 1), 8),
    ((11, 12, 13), 41),
)
__lowerCAmelCase		       =							(((5_15, 22, 13), 5_55), ((61, 35, 49), 1_50))
__lowerCAmelCase		       =							[2, 4, 1, 5]
__lowerCAmelCase		       =							len(train_data)
__lowerCAmelCase		       =							0.009




def    snake_case_     (  snake_case			,							snake_case="train"     )  ->				Union[str, Any]:
       return calculate_hypothesis_value(__lowercase			,							__lowercase     ) - output(
           __lowercase			,							__lowercase     )




def    snake_case_     (  snake_case     )  ->				Union[str, Any]:
       lowercase__:   str  			=   0
       for i in range(len(__lowercase     ) - 1     ):
              hyp_val += data_input_tuple[i] * parameter_vector[i + 1]
       hyp_val += parameter_vector[0]
       return hyp_val




def    snake_case_     (  snake_case			,							snake_case     )  ->				int:
       if data_set == "train":
              return train_data[example_no][1]
       elif data_set == "test":
              return test_data[example_no][1]
       return None




def    snake_case_     (  snake_case			,							snake_case     )  ->				Any:
       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    snake_case_     (  snake_case			,							snake_case=m     )  ->				int:
       lowercase__:   Dict  			=   0
       for i in range(__lowercase     ):
              if index == -1:
                     summation_value += _error(__lowercase     )
              else:
                     summation_value += _error(__lowercase     ) * train_data[i][0][index]
       return summation_value




def    snake_case_     (  snake_case     )  ->				Dict:
       lowercase__:   Tuple  			=   summation_of_cost_derivative(__lowercase			,							__lowercase     ) / m
       return cost_derivative_value




def    snake_case_     (  )  ->				Union[str, Any]:
       global parameter_vector
       # Tune these values to set a tolerance value for predicted output
       lowercase__:   str  			=   0.0_0_0_0_0_2
       lowercase__:   List[str]  			=   0
       lowercase__:   List[Any]  			=   0
       while True:
              j += 1
              lowercase__:   Dict  			=   [0, 0, 0, 0]
              for i in range(0			,							len(__lowercase     )     ):
                     lowercase__:   Optional[Any]  			=   get_cost_derivative(i - 1     )
                     lowercase__:   str  			=   (
                         parameter_vector[i] - LEARNING_RATE * cost_derivative
                     )
              if numpy.allclose(
                  __lowercase			,							__lowercase			,							atol=__lowercase			,							rtol=__lowercase			,							):
                     break
              lowercase__:   Dict  			=   temp_parameter_vector
       print(('Number of iterations:', j)     )




def    snake_case_     (  )  ->				List[str]:
       for i in range(len(__lowercase     )     ):
              print(('Actual output value:', output(__lowercase			,							'test'     ))     )
              print(('Hypothesis output:', calculate_hypothesis_value(__lowercase			,							'test'     ))     )


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




def        a_		(       __lowercase   :	str ) ->  int:
			_snake_case		=			hex_num.strip()
			if not hex_num:
						raise ValueError('No value was passed to the function' )

			_snake_case		=			hex_num[0] == '-'
			if is_negative:
						_snake_case		=			hex_num[1:]

			try:
						_snake_case		=			int(__lowercase       ,					16 )
			except ValueError:
						raise ValueError('Invalid value was passed to the function' )

			_snake_case		=			''
			while int_num > 0:
						_snake_case		=			str(int_num % 2 ) + bin_str
						int_num >>= 1

			return int(('-' + bin_str) if is_negative else bin_str )


if __name__ == "__main__":
			import doctest

			doctest.testmod()