



import unittest

import numpy as np

def 	_lowerCAmelCase (    A__    ,	A__    ,	A__    ,	A__ = None    ,	):
      lowercase__  =	np.shape(A__						)
      lowercase__  =	np.shape(A__						)
      lowercase__  =	np.shape(A__						)

      if shape_a[0] != shape_b[0]:
            lowercase__  =	(
                '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]:
            lowercase__  =	(
                '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__						)

      lowercase__  =	pseudo_inv
      if a_inv is None:
            try:
                  lowercase__  =	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	:      List[str])						->					None:




         """simple docstring"""

         lowercase__  =	np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]])
         lowercase__  =	np.array([[0, 3], [3, 0], [2, 3]])
         lowercase__  =	np.array([[2, 1], [6, 3]])

         lowercase__  =	schur_complement(lowerCAmelCase      ,					lowerCAmelCase      ,					lowerCAmelCase)

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

         lowercase__  =	np.linalg.det(lowerCAmelCase)
         lowercase__  =	np.linalg.det(lowerCAmelCase)
         lowercase__  =	np.linalg.det(lowerCAmelCase)

         self.assertAlmostEqual(lowerCAmelCase      ,					det_a * det_s)


   def       UpperCAmelCase		(    self	:      Optional[Any])						->					None:




         """simple docstring"""

         lowercase__  =	np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]])
         lowercase__  =	np.array([[0, 3], [3, 0], [2, 3]])
         lowercase__  =	np.array([[2, 1], [6, 3]])

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



   def       UpperCAmelCase		(    self	:      List[Any])						->					None:




         """simple docstring"""

         lowercase__  =	np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]])
         lowercase__  =	np.array([[0, 3], [3, 0], [2, 3]])
         lowercase__  =	np.array([[2, 1, 3], [6, 3, 5]])

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


if __name__ == "__main__":
       import doctest

       doctest.testmod()
       unittest.main()





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


a__   :					List[Any] 						=      get_tests_dir("fixtures/test_sentencepiece.model")



@require_sentencepiece
class    UpperCAmelCase__(				lowerCamelCase  ,				unittest.TestCase						):

   '''simple docstring'''




   A     :	Tuple												=     XLMProphetNetTokenizer
   A     :	List[str]												=     False
   A     :	Union[str, Any]												=     True


   def       UpperCAmelCase		(    self	:      Any)						->					int:




         """simple docstring"""

         super().setUp()

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


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




         """simple docstring"""

         lowercase__  =	'[PAD]'
         lowercase__  =	0

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


   def       UpperCAmelCase		(    self	:      Dict)						->					List[Any]:




         """simple docstring"""

         lowercase__  =	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(lowerCAmelCase)      ,					10_12)


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




         """simple docstring"""

         self.assertEqual(self.get_tokenizer().vocab_size      ,					10_12)


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




         """simple docstring"""

         lowercase__  =	XLMProphetNetTokenizer(lowerCAmelCase      ,					keep_accents=lowerCAmelCase)

         lowercase__  =	tokenizer.tokenize('This is a test')
         self.assertListEqual(lowerCAmelCase      ,					['▁This', '▁is', '▁a', '▁t', 'est'])

         self.assertListEqual(
             tokenizer.convert_tokens_to_ids(lowerCAmelCase)      ,					[value + tokenizer.fairseq_offset for value in [2_85, 46, 10, 1_70, 3_82]]      ,					)

         lowercase__  =	tokenizer.tokenize('I was born in 92000, and this is falsé.')
         self.assertListEqual(
             lowerCAmelCase      ,					[
                 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',
                 '.',
             ]      ,					)
         lowercase__  =	tokenizer.convert_tokens_to_ids(lowerCAmelCase)
         self.assertListEqual(
             lowerCAmelCase      ,					[
                 value + tokenizer.fairseq_offset
                 for value in [8, 21, 84, 55, 24, 19, 7, -9, 6_02, 3_47, 3_47, 3_47, 3, 12, 66, 46, 72, 80, 6, -9, 4]
             ]      ,					)

         lowercase__  =	tokenizer.convert_ids_to_tokens(lowerCAmelCase)
         self.assertListEqual(
             lowerCAmelCase      ,					[
                 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       UpperCAmelCase		(    self	:      str)						->					List[Any]:




         """simple docstring"""

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


   @slow
   def       UpperCAmelCase		(    self	:      List[Any])						->					List[str]:




         """simple docstring"""

         lowercase__  =	'Hello World!'
         lowercase__  =	[3_53_89, 66_72, 49, 2]
         self.assertListEqual(lowerCAmelCase      ,					self.big_tokenizer.encode(lowerCAmelCase))



   @slow
   def       UpperCAmelCase		(    self	:      Tuple)						->					str:




         """simple docstring"""

         lowercase__  =	{'input_ids': [[1_10_73, 8_27_83, 18, 26, 8_27_83, 5_49, 5_15_40, 2_48, 1_72_09, 13_01, 2_17, 20, 21_51_86, 13_25, 1_47, 1_72_09, 13_01, 2_17, 20, 5_63_70, 53, 12_20_20, 20, 1_64_77, 27, 8_73_55, 45_48, 20, 47_28, 7_83_92, 17, 15_99_69, 18, 26, 2_44_91, 6_29, 15, 5_38, 2_27_04, 54_39, 15, 27_88, 2_44_91, 98_85, 15, 4_35_34, 6_05, 15, 8_14, 1_84_03, 3_32_00, 29, 15, 4_35_34, 2_44_58, 1_24_10, 1_11, 2_49_66, 8_36_69, 96_37, 14_40_68, 26, 8_50, 2_23_46, 27, 1_47, 2_49_66, 8_36_69, 8_34_90, 26, 3_91_13, 7_35, 27, 6_89, 6_56, 28_00, 13_39, 46_00, 53, 12_20_20, 11_57_85, 34, 8_16, 13_39, 4_68_87, 18, 1_47, 5_39_05, 19_51, 4_22_38, 4_11_70, 1_77_32, 8_34, 4_36, 15, 2_75_23, 9_87_33, 2_17, 1_47, 55_42, 49_81, 9_30, 1_73_47, 16, 2], [2_00_91, 6_29, 94, 8_27_86, 58, 4_90, 20, 15_28, 84, 5_39_05, 3_44, 8_05_92, 11_01_28, 1_88_22, 52_67, 13_06, 62, 15_25_37, 3_08, 79_97, 4_01, 12_44_27, 5_49, 3_54_42, 2_25, 1_09, 1_50_55, 2_57_48, 1_47, 71_19, 4_37_12, 34, 7_67, 13_53_66, 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], [5_92, 6_37_84, 11_94_66, 17, 14_78_08, 8_82_14, 18, 6_56, 81, 32, 32_96, 1_02_80, 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=lowerCAmelCase      ,					model_name='microsoft/xprophetnet-large-wiki100-cased'      ,					revision='1acad1643ddd54a44df6a1b797ada8373685d90e'      ,					)
