



'''simple docstring'''




import numpy

# List of input, output pairs
a   :			str					  =    (
    ((5, 2, 3), 1_5),
    ((6, 5, 9), 2_5),
    ((1_1, 1_2, 1_3), 4_1),
    ((1, 1, 1), 8),
    ((1_1, 1_2, 1_3), 4_1),
)
a   :			Any					  =    (((5_1_5, 2_2, 1_3), 5_5_5), ((6_1, 3_5, 4_9), 1_5_0))
a   :			Tuple					  =    [2, 4, 1, 5]
a   :			Any					  =    len(train_data)
a   :			Any					  =    0.0_0_9



def       __lowerCamelCase  (					_lowercase	,				_lowercase="train"		)      ->			Dict:
							return calculate_hypothesis_value(_lowercase	,				_lowercase		) - output(
							    _lowercase	,				_lowercase		)



def       __lowerCamelCase  (					_lowercase		)      ->			str:
							UpperCAmelCase     :		List[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       __lowerCamelCase  (					_lowercase	,				_lowercase		)      ->			List[str]:
							if data_set == "train":
														return train_data[example_no][1]
							elif data_set == "test":
														return test_data[example_no][1]
							return None



def       __lowerCamelCase  (					_lowercase	,				_lowercase		)      ->			List[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       __lowerCamelCase  (					_lowercase	,				_lowercase=m		)      ->			Tuple:
							UpperCAmelCase     :		int							     =		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       __lowerCamelCase  (					_lowercase		)      ->			Any:
							UpperCAmelCase     :		Tuple							     =		summation_of_cost_derivative(_lowercase	,				_lowercase		) / m
							return cost_derivative_value



def       __lowerCamelCase  (					)      ->			Any:
							global parameter_vector
							# Tune these values to set a tolerance value for predicted output
							UpperCAmelCase     :		List[str]							     =		0.00_0002
							UpperCAmelCase     :		Optional[int]							     =		0
							UpperCAmelCase     :		int							     =		0
							while True:
														j += 1
														UpperCAmelCase     :		Optional[int]							     =		[0, 0, 0, 0]
														for i in range(0	,				len(_lowercase		)		):
																					UpperCAmelCase     :		Tuple							     =		get_cost_derivative(i - 1		)
																					UpperCAmelCase     :		int							     =		(
																					    parameter_vector[i] - LEARNING_RATE * cost_derivative
																					)
														if numpy.allclose(
														    _lowercase	,				_lowercase	,				atol=_lowercase	,				rtol=_lowercase	,				):
																					break
														UpperCAmelCase     :		List[Any]							     =		temp_parameter_vector
							print(("""Number of iterations:""", j)		)



def       __lowerCamelCase  (					)      ->			Optional[int]:
							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()






'''simple docstring'''




from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap



def       __lowerCamelCase  (					_lowercase		)      ->			Optional[Any]:
							return getitem, k



def       __lowerCamelCase  (					_lowercase	,				_lowercase		)      ->			List[str]:
							return setitem, k, v



def       __lowerCamelCase  (					_lowercase		)      ->			int:
							return delitem, k



def       __lowerCamelCase  (					_lowercase	,				_lowercase	,				*_lowercase		)      ->			Optional[Any]:
							try:
														return fun(_lowercase	,				*_lowercase		), None
							except Exception as e:
														return None, e


a   :			List[str]					  =    (
    _set("""key_a""", """val_a"""),
    _set("""key_b""", """val_b"""),
)

a   :			List[Any]					  =    [
    _set("""key_a""", """val_a"""),
    _set("""key_a""", """val_b"""),
]

a   :			int					  =    [
    _set("""key_a""", """val_a"""),
    _set("""key_b""", """val_b"""),
    _del("""key_a"""),
    _del("""key_b"""),
    _set("""key_a""", """val_a"""),
    _del("""key_a"""),
]

a   :			List[Any]					  =    [
    _get("""key_a"""),
    _del("""key_a"""),
    _set("""key_a""", """val_a"""),
    _del("""key_a"""),
    _del("""key_a"""),
    _get("""key_a"""),
]

a   :			Tuple					  =    [
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
]

a   :			Optional[Any]					  =    [
    *[_set(x, x) for x in range(5)],  # guaranteed upsize
    *[_del(x) for x in range(5)],
    _set("""key_a""", """val_b"""),
]



@pytest.mark.parametrize(
    """operations"""	,				(
        pytest.param(_add_items	,				id="""add items"""		),
        pytest.param(_overwrite_items	,				id="""overwrite items"""		),
        pytest.param(_delete_items	,				id="""delete items"""		),
        pytest.param(_access_absent_items	,				id="""access absent items"""		),
        pytest.param(_add_with_resize_up	,				id="""add with resize up"""		),
        pytest.param(_add_with_resize_down	,				id="""add with resize down"""		),
    )	,				)
def       __lowerCamelCase  (					_lowercase		)      ->			Optional[int]:
							UpperCAmelCase     :		List[str]							     =		HashMap(initial_block_size=4		)
							UpperCAmelCase     :		Dict							     =		{}
							for _, (fun, *args) in enumerate(_lowercase		):
														UpperCAmelCase     ,     UpperCAmelCase     :		Union[str, Any]							     =		_run_operation(_lowercase	,				_lowercase	,				*_lowercase		)
														UpperCAmelCase     ,     UpperCAmelCase     :		Any							     =		_run_operation(_lowercase	,				_lowercase	,				*_lowercase		)
														assert my_res == py_res
														assert str(_lowercase		) == str(_lowercase		)
														assert set(_lowercase		) == set(_lowercase		)
														assert len(_lowercase		) == len(_lowercase		)
														assert set(my.items()		) == set(py.items()		)



def       __lowerCamelCase  (					)      ->			List[Any]:
							def is_public(_lowercase		) -> bool:
														return not name.startswith("""_"""		)

							UpperCAmelCase     :		int							     =		{name for name in dir({}		) if is_public(_lowercase		)}
							UpperCAmelCase     :		Any							     =		{name for name in dir(HashMap()		) if is_public(_lowercase		)}

							assert dict_public_names > hash_public_names

