


"""simple docstring"""





from dataclasses import dataclass, field
from typing import TYPE_CHECKING, Any, ClassVar, Dict, List, Optional, Union

import pyarrow as pa


if TYPE_CHECKING:
 from .features import FeatureType



@dataclass
class 						snake_case_:
     __UpperCamelCase     =    42
     __UpperCamelCase     =    None
     # Automatically constructed
     __UpperCamelCase     =    "dict"
     __UpperCamelCase     =    None
     __UpperCamelCase     =    field(default='''Translation'''							,    init=a__							,    repr=a__	)






     def __call__(		self     :    Union[str, Any] ):
           return pa.struct({lang: pa.string() for lang in sorted(self.languages )} )






     def    lowerCamelCase__   (		self     :    List[Any] ):
           from .features import Value

           return {k: Value('''string''' ) for k in sorted(self.languages )}



@dataclass
class 						snake_case_:
     __UpperCamelCase     =    None
     __UpperCamelCase     =    None
     __UpperCamelCase     =    None
     # Automatically constructed
     __UpperCamelCase     =    "dict"
     __UpperCamelCase     =    None
     __UpperCamelCase     =    field(default='''TranslationVariableLanguages'''							,    init=a__							,    repr=a__	)






     def    lowerCamelCase__   (		self     :    Union[str, Any] ):
           lowerCAmelCase    :		List[Any]				=      sorted(set(self.languages ) ) if self.languages else None
           lowerCAmelCase    :		int				=      len(self.languages ) if self.languages else None






     def __call__(		self     :    List[Any] ):
           return pa.struct({'''language''': pa.list_(pa.string() ), '''translation''': pa.list_(pa.string() )} )






     def    lowerCamelCase__   (		self     :    int    , UpperCamelCase_     :    List[Any] ):
           lowerCAmelCase    :		List[Any]				=      set(self.languages )
           if self.languages and set(UpperCamelCase_ ) - lang_set:
                 raise ValueError(
                     F'''Some languages in example ({", ".join(sorted(set(UpperCamelCase_ ) - lang_set ) )}) are not in valid set ({", ".join(UpperCamelCase_ )}).''' )

           # Convert dictionary into tuples, splitting out cases where there are
           # multiple translations for a single language.
           lowerCAmelCase    :		List[str]				=      []
           for lang, text in translation_dict.items():
                 if isinstance(UpperCamelCase_    , UpperCamelCase_ ):
                       translation_tuples.append((lang, text) )
                 else:
                       translation_tuples.extend([(lang, el) for el in text] )

        # Ensure translations are in ascending order by language code.
           lowerCAmelCase,					lowerCAmelCase    :		Optional[Any]				=      zip(*sorted(UpperCamelCase_ ) )

           return {"language": languages, "translation": translations}






     def    lowerCamelCase__   (		self     :    Dict ):
           from .features import Sequence, Value

           return {
               "language": Sequence(Value('''string''' ) ),
               "translation": Sequence(Value('''string''' ) ),
           }






"""simple docstring"""





from __future__ import annotations

from decimal import Decimal

from numpy import array


def    _snake_case  (  _snake_case :	list[list[float]]	):
      lowerCAmelCase    :		str				=      Decimal

      # Check if the provided matrix has 2 rows and 2 columns
      # since this implementation only works for 2x2 matrices
      if len(_snake_case	) == 2 and len(matrix[0]	) == 2 and len(matrix[1]	) == 2:
            # Calculate the determinant of the matrix
            lowerCAmelCase    :		int				=      float(
                d(matrix[0][0]	) * d(matrix[1][1]	) - d(matrix[1][0]	) * d(matrix[0][1]	)	)
            if determinant == 0:
                  raise ValueError('''This matrix has no inverse.'''	)

            # Creates a copy of the matrix with swapped positions of the elements
            lowerCAmelCase    :		Optional[int]				=      [[0.0, 0.0], [0.0, 0.0]]
            lowerCAmelCase,					lowerCAmelCase    :		List[Any]				=      matrix[1][1], matrix[0][0]
            lowerCAmelCase,					lowerCAmelCase    :		Union[str, Any]				=      -matrix[1][0], -matrix[0][1]

            # Calculate the inverse of the matrix
            return [
                [(float(d(_snake_case	)	) / determinant) or 0.0 for n in row] for row in swapped_matrix
            ]
      elif (
          len(_snake_case	) == 3
          and len(matrix[0]	) == 3
          and len(matrix[1]	) == 3
          and len(matrix[2]	) == 3
      ):
            # Calculate the determinant of the matrix using Sarrus rule
            lowerCAmelCase    :		int				=      float(
                (
                    (d(matrix[0][0]	) * d(matrix[1][1]	) * d(matrix[2][2]	))
                    + (d(matrix[0][1]	) * d(matrix[1][2]	) * d(matrix[2][0]	))
                    + (d(matrix[0][2]	) * d(matrix[1][0]	) * d(matrix[2][1]	))
                )
                - (
                    (d(matrix[0][2]	) * d(matrix[1][1]	) * d(matrix[2][0]	))
                    + (d(matrix[0][1]	) * d(matrix[1][0]	) * d(matrix[2][2]	))
                    + (d(matrix[0][0]	) * d(matrix[1][2]	) * d(matrix[2][1]	))
                )	)
            if determinant == 0:
                  raise ValueError('''This matrix has no inverse.'''	)

            # Creating cofactor matrix
            lowerCAmelCase    :		Dict				=      [
                [d(0.0	), d(0.0	), d(0.0	)],
                [d(0.0	), d(0.0	), d(0.0	)],
                [d(0.0	), d(0.0	), d(0.0	)],
            ]
            lowerCAmelCase    :		List[str]				=      (d(matrix[1][1]	) * d(matrix[2][2]	)) - (
                d(matrix[1][2]	) * d(matrix[2][1]	)
            )
            lowerCAmelCase    :		Dict				=      -(
                (d(matrix[1][0]	) * d(matrix[2][2]	)) - (d(matrix[1][2]	) * d(matrix[2][0]	))
            )
            lowerCAmelCase    :		str				=      (d(matrix[1][0]	) * d(matrix[2][1]	)) - (
                d(matrix[1][1]	) * d(matrix[2][0]	)
            )
            lowerCAmelCase    :		Any				=      -(
                (d(matrix[0][1]	) * d(matrix[2][2]	)) - (d(matrix[0][2]	) * d(matrix[2][1]	))
            )
            lowerCAmelCase    :		Any				=      (d(matrix[0][0]	) * d(matrix[2][2]	)) - (
                d(matrix[0][2]	) * d(matrix[2][0]	)
            )
            lowerCAmelCase    :		Optional[int]				=      -(
                (d(matrix[0][0]	) * d(matrix[2][1]	)) - (d(matrix[0][1]	) * d(matrix[2][0]	))
            )
            lowerCAmelCase    :		Optional[int]				=      (d(matrix[0][1]	) * d(matrix[1][2]	)) - (
                d(matrix[0][2]	) * d(matrix[1][1]	)
            )
            lowerCAmelCase    :		Dict				=      -(
                (d(matrix[0][0]	) * d(matrix[1][2]	)) - (d(matrix[0][2]	) * d(matrix[1][0]	))
            )
            lowerCAmelCase    :		List[Any]				=      (d(matrix[0][0]	) * d(matrix[1][1]	)) - (
                d(matrix[0][1]	) * d(matrix[1][0]	)
            )

            # Transpose the cofactor matrix (Adjoint matrix)
            lowerCAmelCase    :		str				=      array(_snake_case	)
            for i in range(3	):
                  for j in range(3	):
                        lowerCAmelCase    :		Optional[Any]				=      cofactor_matrix[j][i]

        # Inverse of the matrix using the formula (1/determinant) * adjoint matrix
            lowerCAmelCase    :		Tuple				=      array(_snake_case	)
            for i in range(3	):
                  for j in range(3	):
                        inverse_matrix[i][j] /= d(_snake_case	)

        # Calculate the inverse of the matrix
            return [[float(d(_snake_case	)	) or 0.0 for n in row] for row in inverse_matrix]
      raise ValueError('''Please provide a matrix of size 2x2 or 3x3.'''	)


