



"""simple docstring"""





from __future__ import annotations
class    lowercase__     :







       '''simple docstring'''


       def __init__(							self    :						Union[str, Any]	,       _UpperCAmelCase    :						Any					)				->		Optional[Any]:


             '''simple docstring'''




             UpperCAmelCase_    				=							TypeError(
                 "Matrices must be formed from a list of zero or more lists containing at "
                 "least one and the same number of values, each of which must be of type "
                 "int or float."					)
             if len(UpperCamelCase_					) != 0:
                   UpperCAmelCase_    				=							len(rows[0]					)
                   if cols == 0:
                         raise error
                   for row in rows:
                         if len(UpperCamelCase_					) != cols:
                               raise error
                         for value in row:
                               if not isinstance(UpperCamelCase_	,       (int, float)					):
                                     raise error
                   UpperCAmelCase_    				=							rows
             else:
                   UpperCAmelCase_    				=							[]



       def   lowercase__       (							self    :						List[Any]					)				->		Optional[int]:


             '''simple docstring'''




             return [[row[i] for row in self.rows] for i in range(len(self.rows[0]					)					)]



       @property
       def   lowercase__       (							self    :						Optional[int]					)				->		Any:


             '''simple docstring'''




             return len(self.rows					)



       @property
       def   lowercase__       (							self    :						Tuple					)				->		Optional[Any]:


             '''simple docstring'''




             return len(self.rows[0]					)



       @property
       def   lowercase__       (							self    :						Optional[Any]					)				->		Any:


             '''simple docstring'''




             return (self.num_rows, self.num_columns)



       @property
       def   lowercase__       (							self    :						List[Any]					)				->		Union[str, Any]:


             '''simple docstring'''




             return self.order[0] == self.order[1]



       def   lowercase__       (							self    :						List[Any]					)				->		int:


             '''simple docstring'''




             UpperCAmelCase_    				=							[
                 [0 if column_num != row_num else 1 for column_num in range(self.num_rows					)]
                 for row_num in range(self.num_rows					)
             ]
             return Matrix(UpperCamelCase_					)



       def   lowercase__       (							self    :						Tuple					)				->		List[Any]:


             '''simple docstring'''




             if not self.is_square:
                   return 0
             if self.order == (0, 0):
                   return 1
             if self.order == (1, 1):
                   return int(self.rows[0][0]					)
             if self.order == (2, 2):
                   return int(
                       (self.rows[0][0] * self.rows[1][1])
                       - (self.rows[0][1] * self.rows[1][0])					)
             else:
                   return sum(
                       self.rows[0][column] * self.cofactors().rows[0][column]
                       for column in range(self.num_columns					)					)



       def   lowercase__       (							self    :						Dict					)				->		int:


             '''simple docstring'''




             return bool(self.determinant()					)



       def   lowercase__       (							self    :						List[str]	,       _UpperCAmelCase    :						Union[str, Any]	,       _UpperCAmelCase    :						Optional[Any]					)				->		int:


             '''simple docstring'''




             UpperCAmelCase_    				=							[
                 [
                     self.rows[other_row][other_column]
                     for other_column in range(self.num_columns					)
                     if other_column != column
                 ]
                 for other_row in range(self.num_rows					)
                 if other_row != row
             ]
             return Matrix(UpperCamelCase_					).determinant()



       def   lowercase__       (							self    :						Union[str, Any]	,       _UpperCAmelCase    :						List[Any]	,       _UpperCAmelCase    :						Tuple					)				->		str:


             '''simple docstring'''




             if (row + column) % 2 == 0:
                   return self.get_minor(UpperCamelCase_	,       UpperCamelCase_					)
             return -1 * self.get_minor(UpperCamelCase_	,       UpperCamelCase_					)



       def   lowercase__       (							self    :						Tuple					)				->		int:


             '''simple docstring'''




             return Matrix(
                 [
                     [self.get_minor(UpperCamelCase_	,       UpperCamelCase_					) for column in range(self.num_columns					)]
                     for row in range(self.num_rows					)
                 ]					)



       def   lowercase__       (							self    :						List[Any]					)				->		List[str]:


             '''simple docstring'''




             return Matrix(
                 [
                     [
                         self.minors().rows[row][column]
                         if (row + column) % 2 == 0
                         else self.minors().rows[row][column] * -1
                         for column in range(self.minors().num_columns					)
                     ]
                     for row in range(self.minors().num_rows					)
                 ]					)



       def   lowercase__       (							self    :						Union[str, Any]					)				->		Any:


             '''simple docstring'''




             UpperCAmelCase_    				=							[
                 [self.cofactors().rows[column][row] for column in range(self.num_columns					)]
                 for row in range(self.num_rows					)
             ]
             return Matrix(UpperCamelCase_					)



       def   lowercase__       (							self    :						List[Any]					)				->		List[str]:


             '''simple docstring'''




             UpperCAmelCase_    				=							self.determinant()
             if not determinant:
                   raise TypeError("Only matrices with a non-zero determinant have an inverse"					)
             return self.adjugate() * (1 / determinant)



       def __repr__(							self    :						Optional[int]					)				->		str:


             '''simple docstring'''




             return str(self.rows					)



       def __str__(							self    :						Tuple					)				->		Optional[int]:


             '''simple docstring'''




             if self.num_rows == 0:
                   return "[]"
             if self.num_rows == 1:
                   return "[[" + ". ".join(str(self.rows[0]					)					) + "]]"
             return (
                 "["
                 + "\n ".join(
                     [
                         "[" + ". ".join([str(UpperCamelCase_					) for value in row]					) + ".]"
                         for row in self.rows
                     ]					)
                 + "]"
             )



       def   lowercase__       (							self    :						Union[str, Any]	,       _UpperCAmelCase    :						Union[str, Any]	,       _UpperCAmelCase    :						Optional[Any] = None					)				->		str:


             '''simple docstring'''




             UpperCAmelCase_    				=							TypeError("Row must be a list containing all ints and/or floats"					)
             if not isinstance(UpperCamelCase_	,       UpperCamelCase_					):
                   raise type_error
             for value in row:
                   if not isinstance(UpperCamelCase_	,       (int, float)					):
                         raise type_error
             if len(UpperCamelCase_					) != self.num_columns:
                   raise ValueError(
                       "Row must be equal in length to the other rows in the matrix"					)
             if position is None:
                   self.rows.append(UpperCamelCase_					)
             else:
                   UpperCAmelCase_    				=							self.rows[0:position] + [row] + self.rows[position:]



       def   lowercase__       (							self    :						List[str]	,       _UpperCAmelCase    :						Optional[Any]	,       _UpperCAmelCase    :						Any = None					)				->		str:


             '''simple docstring'''




             UpperCAmelCase_    				=							TypeError(
                 "Column must be a list containing all ints and/or floats"					)
             if not isinstance(UpperCamelCase_	,       UpperCamelCase_					):
                   raise type_error
             for value in column:
                   if not isinstance(UpperCamelCase_	,       (int, float)					):
                         raise type_error
             if len(UpperCamelCase_					) != self.num_rows:
                   raise ValueError(
                       "Column must be equal in length to the other columns in the matrix"					)
             if position is None:
                   UpperCAmelCase_    				=							[self.rows[i] + [column[i]] for i in range(self.num_rows					)]
             else:
                   UpperCAmelCase_    				=							[
                       self.rows[i][0:position] + [column[i]] + self.rows[i][position:]
                       for i in range(self.num_rows					)
                   ]



       def __eq__(							self    :						List[str]	,       _UpperCAmelCase    :						Optional[Any]					)				->		Dict:


             '''simple docstring'''




             if not isinstance(UpperCamelCase_	,       UpperCamelCase_					):
                   return NotImplemented
             return self.rows == other.rows



       def __ne__(							self    :						Tuple	,       _UpperCAmelCase    :						List[Any]					)				->		List[str]:


             '''simple docstring'''




             return not self == other



       def __neg__(							self    :						Optional[int]					)				->		Dict:


             '''simple docstring'''




             return self * -1



       def __add__(							self    :						Tuple	,       _UpperCAmelCase    :						str					)				->		Dict:


             '''simple docstring'''




             if self.order != other.order:
                   raise ValueError("Addition requires matrices of the same order"					)
             return Matrix(
                 [
                     [self.rows[i][j] + other.rows[i][j] for j in range(self.num_columns					)]
                     for i in range(self.num_rows					)
                 ]					)



       def __sub__(							self    :						Optional[Any]	,       _UpperCAmelCase    :						Union[str, Any]					)				->		str:


             '''simple docstring'''




             if self.order != other.order:
                   raise ValueError("Subtraction requires matrices of the same order"					)
             return Matrix(
                 [
                     [self.rows[i][j] - other.rows[i][j] for j in range(self.num_columns					)]
                     for i in range(self.num_rows					)
                 ]					)



       def __mul__(							self    :						Dict	,       _UpperCAmelCase    :						Tuple					)				->		List[str]:


             '''simple docstring'''




             if isinstance(UpperCamelCase_	,       (int, float)					):
                   return Matrix(
                       [[int(element * other					) for element in row] for row in self.rows]					)
             elif isinstance(UpperCamelCase_	,       UpperCamelCase_					):
                   if self.num_columns != other.num_rows:
                         raise ValueError(
                             "The number of columns in the first matrix must "
                             "be equal to the number of rows in the second"					)
                   return Matrix(
                       [
                           [Matrix.dot_product(UpperCamelCase_	,       UpperCamelCase_					) for column in other.columns()]
                           for row in self.rows
                       ]					)
             else:
                   raise TypeError(
                       "A Matrix can only be multiplied by an int, float, or another matrix"					)



       def __pow__(							self    :						Optional[int]	,       _UpperCAmelCase    :						Optional[Any]					)				->		Optional[Any]:


             '''simple docstring'''




             if not isinstance(UpperCamelCase_	,       UpperCamelCase_					):
                   raise TypeError("A Matrix can only be raised to the power of an int"					)
             if not self.is_square:
                   raise ValueError("Only square matrices can be raised to a power"					)
             if other == 0:
                   return self.identity()
             if other < 0:
                   if self.is_invertable():
                         return self.inverse() ** (-other)
                   raise ValueError(
                       "Only invertable matrices can be raised to a negative power"					)
             UpperCAmelCase_    				=							self
             for _ in range(other - 1					):
                   result *= self
             return result







       @classmethod
       def   lowercase__       (							cls    :						Optional[int]	,       _UpperCAmelCase    :						Optional[Any]	,       _UpperCAmelCase    :						int					)				->		int:


             '''simple docstring'''




             return sum(row[i] * column[i] for i in range(len(UpperCamelCase_					)					)					)


if __name__ == "__main__":
  import doctest

  doctest.testmod()









"""simple docstring"""





import unittest

from transformers.models.xlm_prophetnet.tokenization_xlm_prophetnet import SPIECE_UNDERLINE, XLMProphetNetTokenizer
from transformers.testing_utils import get_tests_dir, require_sentencepiece, slow
from transformers.utils import cached_property

from ...test_tokenization_common import TokenizerTesterMixin


lowerCamelCase      =		get_tests_dir("""fixtures/test_sentencepiece.model""")
@require_sentencepiece
class    lowercase__     (					SCREAMING_SNAKE_CASE       ,      unittest.TestCase   ):







       '''simple docstring'''


       UpperCamelCase		=  XLMProphetNetTokenizer
       UpperCamelCase		=  False
       UpperCamelCase		=  True



       def   lowercase__       (							self    :						Union[str, Any]					)				->		Any:


             '''simple docstring'''




             super().setUp()

             # We have a SentencePiece fixture for testing
             UpperCAmelCase_    				=							XLMProphetNetTokenizer(_UpperCAmelCase	,       keep_accents=_UpperCAmelCase					)
             tokenizer.save_pretrained(self.tmpdirname					)



       def   lowercase__       (							self    :						Tuple					)				->		int:


             '''simple docstring'''




             UpperCAmelCase_    				=							"[PAD]"
             UpperCAmelCase_    				=							0

             self.assertEqual(self.get_tokenizer()._convert_token_to_id(_UpperCAmelCase					)	,       _UpperCAmelCase					)
             self.assertEqual(self.get_tokenizer()._convert_id_to_token(_UpperCAmelCase					)	,       _UpperCAmelCase					)



       def   lowercase__       (							self    :						Dict					)				->		int:


             '''simple docstring'''




             UpperCAmelCase_    				=							list(self.get_tokenizer().get_vocab().keys()					)

             self.assertEqual(vocab_keys[0]	,       "[PAD]"					)
             self.assertEqual(vocab_keys[1]	,       "[CLS]"					)
             self.assertEqual(vocab_keys[-1]	,       "j"					)
             self.assertEqual(len(_UpperCAmelCase					)	,       1012					)



       def   lowercase__       (							self    :						Union[str, Any]					)				->		Optional[Any]:


             '''simple docstring'''




             self.assertEqual(self.get_tokenizer().vocab_size	,       1012					)



       def   lowercase__       (							self    :						Tuple					)				->		Union[str, Any]:


             '''simple docstring'''




             UpperCAmelCase_    				=							XLMProphetNetTokenizer(_UpperCAmelCase	,       keep_accents=_UpperCAmelCase					)

             UpperCAmelCase_    				=							tokenizer.tokenize("This is a test"					)
             self.assertListEqual(_UpperCAmelCase	,       ["▁This", "▁is", "▁a", "▁t", "est"]					)

             self.assertListEqual(
                 tokenizer.convert_tokens_to_ids(_UpperCAmelCase					)	,       [value + tokenizer.fairseq_offset for value in [285, 46, 10, 170, 382]]	,       )

             UpperCAmelCase_    				=							tokenizer.tokenize("I was born in 92000, and this is falsé."					)
             self.assertListEqual(
                 _UpperCAmelCase	,       [
                     SPIECE_UNDERLINE + "I",
                     SPIECE_UNDERLINE + "was",
                     SPIECE_UNDERLINE + "b",
                     "or",
                     "n",
                     SPIECE_UNDERLINE + "in",
                     SPIECE_UNDERLINE + "",
                     "9",
                     "2",
                     "0",
                     "0",
                     "0",
                     ",",
                     SPIECE_UNDERLINE + "and",
                     SPIECE_UNDERLINE + "this",
                     SPIECE_UNDERLINE + "is",
                     SPIECE_UNDERLINE + "f",
                     "al",
                     "s",
                     "é",
                     ".",
                 ]	,       )
             UpperCAmelCase_    				=							tokenizer.convert_tokens_to_ids(_UpperCAmelCase					)
             self.assertListEqual(
                 _UpperCAmelCase	,       [
                     value + tokenizer.fairseq_offset
                     for value in [8, 21, 84, 55, 24, 19, 7, -9, 602, 347, 347, 347, 3, 12, 66, 46, 72, 80, 6, -9, 4]
                 ]	,       )

             UpperCAmelCase_    				=							tokenizer.convert_ids_to_tokens(_UpperCAmelCase					)
             self.assertListEqual(
                 _UpperCAmelCase	,       [
                     SPIECE_UNDERLINE + "I",
                     SPIECE_UNDERLINE + "was",
                     SPIECE_UNDERLINE + "b",
                     "or",
                     "n",
                     SPIECE_UNDERLINE + "in",
                     SPIECE_UNDERLINE + "",
                     "[UNK]",
                     "2",
                     "0",
                     "0",
                     "0",
                     ",",
                     SPIECE_UNDERLINE + "and",
                     SPIECE_UNDERLINE + "this",
                     SPIECE_UNDERLINE + "is",
                     SPIECE_UNDERLINE + "f",
                     "al",
                     "s",
                     "[UNK]",
                     ".",
                 ]	,       )



       @cached_property
       def   lowercase__       (							self    :						Union[str, Any]					)				->		Optional[Any]:


             '''simple docstring'''




             return XLMProphetNetTokenizer.from_pretrained("microsoft/xprophetnet-large-wiki100-cased"					)



       @slow
       def   lowercase__       (							self    :						List[Any]					)				->		int:


             '''simple docstring'''




             UpperCAmelCase_    				=							"Hello World!"
             UpperCAmelCase_    				=							[35389, 6672, 49, 2]
             self.assertListEqual(_UpperCAmelCase	,       self.big_tokenizer.encode(_UpperCAmelCase					)					)







       @slow
       def   lowercase__       (							self    :						Optional[int]					)				->		Optional[int]:


             '''simple docstring'''




             UpperCAmelCase_    				=							{"input_ids": [[11073, 82783, 18, 26, 82783, 549, 51540, 248, 17209, 1301, 217, 20, 215186, 1325, 147, 17209, 1301, 217, 20, 56370, 53, 122020, 20, 16477, 27, 87355, 4548, 20, 4728, 78392, 17, 159969, 18, 26, 24491, 629, 15, 538, 22704, 5439, 15, 2788, 24491, 9885, 15, 43534, 605, 15, 814, 18403, 33200, 29, 15, 43534, 24458, 12410, 111, 24966, 83669, 9637, 144068, 26, 850, 22346, 27, 147, 24966, 83669, 83490, 26, 39113, 735, 27, 689, 656, 2800, 1339, 4600, 53, 122020, 115785, 34, 816, 1339, 46887, 18, 147, 53905, 1951, 42238, 41170, 17732, 834, 436, 15, 27523, 98733, 217, 147, 5542, 4981, 930, 17347, 16, 2], [20091, 629, 94, 82786, 58, 490, 20, 1528, 84, 53905, 344, 80592, 110128, 18822, 5267, 1306, 62, 152537, 308, 7997, 401, 124427, 549, 35442, 225, 109, 15055, 25748, 147, 7119, 43712, 34, 767, 135366, 18, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [592, 63784, 119466, 17, 147808, 88214, 18, 656, 81, 32, 3296, 10280, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "attention_mask": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}  # noqa: E501
             # fmt: on

             self.tokenizer_integration_test_util(
                 expected_encoding=_UpperCAmelCase	,       model_name="microsoft/xprophetnet-large-wiki100-cased"	,       revision="1acad1643ddd54a44df6a1b797ada8373685d90e"	,       )




