




'''simple docstring'''

from operator import delitem, getitem, setitem

import pytest

from data_structures.hashing.hash_map import HashMap


def __UpperCAmelCase	(   _UpperCAmelCase		:   Union[str, Any]						)      ->      Optional[Any]:
			return getitem, k


def __UpperCAmelCase	(   _UpperCAmelCase		:   Dict		,				_UpperCAmelCase		:   List[str]						)      ->      str:
			return setitem, k, v


def __UpperCAmelCase	(   _UpperCAmelCase		:   Dict						)      ->      Union[str, Any]:
			return delitem, k


def __UpperCAmelCase	(   _UpperCAmelCase		:   Union[str, Any]		,				_UpperCAmelCase		:   int		,				*_UpperCAmelCase		:   Union[str, Any]						)      ->      Optional[int]:
			try:
						return fun(_UpperCAmelCase		,				*_UpperCAmelCase						), None
			except Exception as e:
						return None, e


a       :						Optional[int]								=		(
    _set('''key_a''', '''val_a'''),
    _set('''key_b''', '''val_b'''),
)

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

a       :						List[str]								=		[
    _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       :						Dict								=		[
    _get('''key_a'''),
    _del('''key_a'''),
    _set('''key_a''', '''val_a'''),
    _del('''key_a'''),
    _del('''key_a'''),
    _get('''key_a'''),
]

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

a       :						Dict								=		[
    *[_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 __UpperCAmelCase	(   _UpperCAmelCase		:   Tuple						)      ->      int:
			__snake_case			=		HashMap(initial_block_size=4						)
			__snake_case			=		{}
			for _, (fun, *args) in enumerate(_UpperCAmelCase						):
						__snake_case		,     __snake_case			=		_run_operation(_UpperCAmelCase		,				_UpperCAmelCase		,				*_UpperCAmelCase						)
						__snake_case		,     __snake_case			=		_run_operation(_UpperCAmelCase		,				_UpperCAmelCase		,				*_UpperCAmelCase						)
						assert my_res == py_res
						assert str(_UpperCAmelCase						) == str(_UpperCAmelCase						)
						assert set(_UpperCAmelCase						) == set(_UpperCAmelCase						)
						assert len(_UpperCAmelCase						) == len(_UpperCAmelCase						)
						assert set(my.items()						) == set(py.items()						)






def __UpperCAmelCase	(   )      ->      Tuple:
			def is_public(_UpperCAmelCase		:   str						) -> bool:
						return not name.startswith("_"						)

			__snake_case			=		{name for name in dir({}						) if is_public(_UpperCAmelCase						)}
			__snake_case			=		{name for name in dir(HashMap()						) if is_public(_UpperCAmelCase						)}

			assert dict_public_names > hash_public_names













import unittest

import numpy as np





def 		__UpperCAmelCase     (	a_				,	a_				,	a_				,	a_ = None				,	):
							snake_case_           =				np.shape(a_)
							snake_case_           =				np.shape(a_)
							snake_case_           =				np.shape(a_)

							if shape_a[0] != shape_b[0]:
														snake_case_           =				(
														    'Expected the same number of rows for A and B. '
														    f'''Instead found A of size {shape_a} and B of size {shape_b}'''
														)
														raise ValueError(a_)

							if shape_b[1] != shape_c[1]:
														snake_case_           =				(
														    'Expected the same number of columns for B and C. '
														    f'''Instead found B of size {shape_b} and C of size {shape_c}'''
														)
														raise ValueError(a_)

							snake_case_           =				pseudo_inv
							if a_inv is None:
														try:
																					snake_case_           =				np.linalg.inv(a_)
														except np.linalg.LinAlgError:
																					raise ValueError(
																					    'Input matrix A is not invertible. Cannot compute Schur complement.')

							return mat_c - mat_b.T @ a_inv @ mat_b




class 					UpperCamelCase_ (     unittest.TestCase							):



	'''simple docstring'''




	def 				_UpperCamelCase     (			self   )			->       None:
								snake_case_           =				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]   )
								snake_case_           =				np.array([[0, 3], [3, 0], [2, 3]]   )
								snake_case_           =				np.array([[2, 1], [6, 3]]   )

								snake_case_           =				schur_complement(a			,     a			,     a   )

								snake_case_           =				np.block([[a, b], [b.T, c]]   )

								snake_case_           =				np.linalg.det(a   )
								snake_case_           =				np.linalg.det(a   )
								snake_case_           =				np.linalg.det(a   )

								self.assertAlmostEqual(a			,     det_a * det_s   )




	def 				_UpperCamelCase     (			self   )			->       None:
								snake_case_           =				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]   )
								snake_case_           =				np.array([[0, 3], [3, 0], [2, 3]]   )
								snake_case_           =				np.array([[2, 1], [6, 3]]   )

								with self.assertRaises(a   ):
															schur_complement(a			,     a			,     a   )






	def 				_UpperCamelCase     (			self   )			->       None:
								snake_case_           =				np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]   )
								snake_case_           =				np.array([[0, 3], [3, 0], [2, 3]]   )
								snake_case_           =				np.array([[2, 1, 3], [6, 3, 5]]   )

								with self.assertRaises(a   ):
															schur_complement(a			,     a			,     a   )


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	unittest.main()





