
"""simple docstring"""




from unittest import TestCase

from datasets import Sequence, Value
from datasets.arrow_dataset import Dataset

class __snake_case		(				__SCREAMING_SNAKE_CASE					):
    def 				_SCREAMING_SNAKE_CASE	(  self				):



           '''simple docstring'''







           return [
               {"col_1": 3, "col_2": "a"},
               {"col_1": 2, "col_2": "b"},
               {"col_1": 1, "col_2": "c"},
               {"col_1": 0, "col_2": "d"},
           ]
    def 				_SCREAMING_SNAKE_CASE	(  self				):



           '''simple docstring'''







           lowercase							:					Optional[int]	     =				{'''col_1''': [3, 2, 1, 0], '''col_2''': ['''a''', '''b''', '''c''', '''d''']}
           return Dataset.from_dict(UpperCamelCase__				)
    def 				_SCREAMING_SNAKE_CASE	(  self				):



           '''simple docstring'''







           lowercase							:					List[str]	     =				self._create_example_records()
           lowercase							:					List[Any]	     =				Dataset.from_list(UpperCamelCase__				)
           self.assertListEqual(dset.column_names		,["""col_1""", """col_2"""]				)
           for i, r in enumerate(UpperCamelCase__				):
                  self.assertDictEqual(UpperCamelCase__		,example_records[i]				)
    def 				_SCREAMING_SNAKE_CASE	(  self				):



           '''simple docstring'''







           lowercase							:					Union[str, Any]	     =				self._create_example_records()
           lowercase							:					Union[str, Any]	     =				Dataset.from_list(UpperCamelCase__				)
           lowercase							:					Dict	     =				Dataset.from_dict({k: [r[k] for r in example_records] for k in example_records[0]}				)
           self.assertEqual(dset.info		,dset_from_dict.info				)
    def 				_SCREAMING_SNAKE_CASE	(  self				):  # checks what happens with missing columns



           '''simple docstring'''







           lowercase							:					Optional[Any]	     =				[{'''col_1''': 1}, {'''col_2''': '''x'''}]
           lowercase							:					str	     =				Dataset.from_list(UpperCamelCase__				)
           self.assertDictEqual(dset[0]		,{"""col_1""": 1}				)
           self.assertDictEqual(dset[1]		,{"""col_1""": None}				)  # NB: first record is used for columns
    def 				_SCREAMING_SNAKE_CASE	(  self				):  # checks if the type can be inferred from the second record



           '''simple docstring'''







           lowercase							:					Union[str, Any]	     =				[{'''col_1''': []}, {'''col_1''': [1, 2]}]
           lowercase							:					str	     =				Dataset.from_list(UpperCamelCase__				)
           self.assertEqual(dset.info.features["""col_1"""]		,Sequence(Value("""int64"""				)				)				)
    def 				_SCREAMING_SNAKE_CASE	(  self				):



           '''simple docstring'''







           lowercase							:					int	     =				Dataset.from_list([]				)
           self.assertEqual(len(UpperCamelCase__				)		,0				)
           self.assertListEqual(dset.column_names		,[]				)


from __future__ import annotations

import numpy as np







def 						_snake_case(  SCREAMING_SNAKE_CASE__    )			->   tuple[np.ndarray, np.ndarray]:
       lowercase     ,      lowercase							:					Dict	     =				np.shape(SCREAMING_SNAKE_CASE__    )
       if rows != columns:
              lowercase							:					str	     =				(
                  """'table' has to be of square shaped array but got a """
                  f"{rows}x{columns} array:\n{table}"
              )
              raise ValueError(SCREAMING_SNAKE_CASE__    )

       lowercase							:					Any	     =				np.zeros((rows, columns)    )
       lowercase							:					int	     =				np.zeros((rows, columns)    )
       for i in range(SCREAMING_SNAKE_CASE__    ):
              for j in range(SCREAMING_SNAKE_CASE__    ):
                     lowercase							:					Optional[int]	     =				sum(lower[i][k] * upper[k][j] for k in range(SCREAMING_SNAKE_CASE__    )    )
                     if upper[j][j] == 0:
                            raise ArithmeticError("""No LU decomposition exists"""    )
                     lowercase							:					str	     =				(table[i][j] - total) / upper[j][j]
              lowercase							:					Optional[Any]	     =				1
              for j in range(SCREAMING_SNAKE_CASE__ ,     SCREAMING_SNAKE_CASE__    ):
                     lowercase							:					Any	     =				sum(lower[i][k] * upper[k][j] for k in range(SCREAMING_SNAKE_CASE__    )    )
                     lowercase							:					Tuple	     =				table[i][j] - total
       return lower, upper


if __name__ == "__main__":
  import doctest

  doctest.testmod()
