





'''simple docstring'''

import os
import unittest

from transformers import MobileBertTokenizer, MobileBertTokenizerFast
from transformers.models.bert.tokenization_bert import (
    VOCAB_FILES_NAMES,
    BasicTokenizer,
    WordpieceTokenizer,
    _is_control,
    _is_punctuation,
    _is_whitespace,
)
from transformers.testing_utils import require_tokenizers, slow

from ...test_tokenization_common import TokenizerTesterMixin, filter_non_english






@require_tokenizers
class        UpperCAmelCase     (	UpperCamelCase__      ,	unittest.TestCase    ):
 __lowercase       		=    MobileBertTokenizer
 __lowercase       		=    MobileBertTokenizerFast
 __lowercase       		=    True
 __lowercase       		=    True
 __lowercase       		=    filter_non_english
 __lowercase       		=    """google/mobilebert-uncased"""
 def 					UpperCAmelCase_							(    self				:int							)->							Optional[int]:
     super().setUp()

     A__    =      [
         "[UNK]",
         "[CLS]",
         "[SEP]",
         "[PAD]",
         "[MASK]",
         "want",
         "##want",
         "##ed",
         "wa",
         "un",
         "runn",
         "##ing",
         ",",
         "low",
         "lowest",
     ]
     A__    =      os.path.join(self.tmpdirname						,	VOCAB_FILES_NAMES["vocab_file"]							)
     with open(self.vocab_file						,	"w"						,	encoding="utf-8"							) as vocab_writer:
         vocab_writer.write("".join([x + "\n" for x in vocab_tokens]							)							)

     A__    =      [
         (tokenizer_def[0], self.pre_trained_model_path, tokenizer_def[2])  # else the 'google/' prefix is stripped
         for tokenizer_def in self.tokenizers_list
     ]
 def 					UpperCAmelCase_							(    self				:Optional[int]						,	lowercase_				:Any							)->							Tuple:
     A__    =      "UNwant\u00E9d,running"
     A__    =      "unwanted, running"
     return input_text, output_text
 def 					UpperCAmelCase_							(    self				:Union[str, Any]							)->							Tuple:
     A__    =      self.tokenizer_class(self.vocab_file							)

     A__    =      tokenizer.tokenize("UNwant\u00E9d,running"							)
     self.assertListEqual(lowercase_						,	["un", "##want", "##ed", ",", "runn", "##ing"]							)
     self.assertListEqual(tokenizer.convert_tokens_to_ids(lowercase_							)						,	[9, 6, 7, 12, 10, 11]							)
 def 					UpperCAmelCase_							(    self				:Dict							)->							Any:
     if not self.test_rust_tokenizer:
         return

     A__    =      self.get_tokenizer()
     A__    =      self.get_rust_tokenizer()

     A__    =      "UNwant\u00E9d,running"

     A__    =      tokenizer.tokenize(lowercase_							)
     A__    =      rust_tokenizer.tokenize(lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)

     A__    =      tokenizer.encode(lowercase_						,	add_special_tokens=lowercase_							)
     A__    =      rust_tokenizer.encode(lowercase_						,	add_special_tokens=lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)

     A__    =      self.get_rust_tokenizer()
     A__    =      tokenizer.encode(lowercase_							)
     A__    =      rust_tokenizer.encode(lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)

     # With lower casing
     A__    =      self.get_tokenizer(do_lower_case=lowercase_							)
     A__    =      self.get_rust_tokenizer(do_lower_case=lowercase_							)

     A__    =      "UNwant\u00E9d,running"

     A__    =      tokenizer.tokenize(lowercase_							)
     A__    =      rust_tokenizer.tokenize(lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)

     A__    =      tokenizer.encode(lowercase_						,	add_special_tokens=lowercase_							)
     A__    =      rust_tokenizer.encode(lowercase_						,	add_special_tokens=lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)

     A__    =      self.get_rust_tokenizer()
     A__    =      tokenizer.encode(lowercase_							)
     A__    =      rust_tokenizer.encode(lowercase_							)
     self.assertListEqual(lowercase_						,	lowercase_							)
 def 					UpperCAmelCase_							(    self				:Optional[Any]							)->							Union[str, Any]:
     A__    =      BasicTokenizer()

     self.assertListEqual(tokenizer.tokenize("ah\u535A\u63A8zz"							)						,	["ah", "\u535A", "\u63A8", "zz"]							)
 def 					UpperCAmelCase_							(    self				:Union[str, Any]							)->							Dict:
     A__    =      BasicTokenizer(do_lower_case=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "							)						,	["hello", "!", "how", "are", "you", "?"]							)
     self.assertListEqual(tokenizer.tokenize("H\u00E9llo"							)						,	["hello"]							)
 def 					UpperCAmelCase_							(    self				:Dict							)->							str:
     A__    =      BasicTokenizer(do_lower_case=lowercase_						,	strip_accents=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "							)						,	["hällo", "!", "how", "are", "you", "?"]							)
     self.assertListEqual(tokenizer.tokenize("H\u00E9llo"							)						,	["h\u00E9llo"]							)
 def 					UpperCAmelCase_							(    self				:List[Any]							)->							str:
     A__    =      BasicTokenizer(do_lower_case=lowercase_						,	strip_accents=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "							)						,	["hallo", "!", "how", "are", "you", "?"]							)
     self.assertListEqual(tokenizer.tokenize("H\u00E9llo"							)						,	["hello"]							)
 def 					UpperCAmelCase_							(    self				:List[str]							)->							List[Any]:
     A__    =      BasicTokenizer(do_lower_case=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "							)						,	["hallo", "!", "how", "are", "you", "?"]							)
     self.assertListEqual(tokenizer.tokenize("H\u00E9llo"							)						,	["hello"]							)
 def 					UpperCAmelCase_							(    self				:Optional[int]							)->							Optional[Any]:
     A__    =      BasicTokenizer(do_lower_case=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHeLLo!how  \n Are yoU?  "							)						,	["HeLLo", "!", "how", "Are", "yoU", "?"]							)
 def 					UpperCAmelCase_							(    self				:int							)->							Optional[Any]:
     A__    =      BasicTokenizer(do_lower_case=lowercase_						,	strip_accents=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "							)						,	["HäLLo", "!", "how", "Are", "yoU", "?"]							)
 def 					UpperCAmelCase_							(    self				:Union[str, Any]							)->							Optional[int]:
     A__    =      BasicTokenizer(do_lower_case=lowercase_						,	strip_accents=lowercase_							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHäLLo!how  \n Are yoU?  "							)						,	["HaLLo", "!", "how", "Are", "yoU", "?"]							)
 def 					UpperCAmelCase_							(    self				:List[Any]							)->							List[str]:
     A__    =      BasicTokenizer(do_lower_case=lowercase_						,	never_split=["[UNK]"]							)

     self.assertListEqual(
         tokenizer.tokenize(" \tHeLLo!how  \n Are yoU? [UNK]"							)						,	["HeLLo", "!", "how", "Are", "yoU", "?", "[UNK]"]							)
 def 					UpperCAmelCase_							(    self				:List[str]							)->							Tuple:
     A__    =      ["[UNK]", "[CLS]", "[SEP]", "want", "##want", "##ed", "wa", "un", "runn", "##ing"]

     A__    =      {}
     for i, token in enumerate(lowercase_							):
         A__    =      i
     A__    =      WordpieceTokenizer(vocab=lowercase_						,	unk_token="[UNK]"							)

     self.assertListEqual(tokenizer.tokenize(""							)						,	[]							)

     self.assertListEqual(tokenizer.tokenize("unwanted running"							)						,	["un", "##want", "##ed", "runn", "##ing"]							)

     self.assertListEqual(tokenizer.tokenize("unwantedX running"							)						,	["[UNK]", "runn", "##ing"]							)
 def 					UpperCAmelCase_							(    self				:Dict							)->							Tuple:
     self.assertTrue(_is_whitespace(" "							)							)
     self.assertTrue(_is_whitespace("\t"							)							)
     self.assertTrue(_is_whitespace("\r"							)							)
     self.assertTrue(_is_whitespace("\n"							)							)
     self.assertTrue(_is_whitespace("\u00A0"							)							)

     self.assertFalse(_is_whitespace("A"							)							)
     self.assertFalse(_is_whitespace("-"							)							)
 def 					UpperCAmelCase_							(    self				:Any							)->							Any:
     self.assertTrue(_is_control("\u0005"							)							)

     self.assertFalse(_is_control("A"							)							)
     self.assertFalse(_is_control(" "							)							)
     self.assertFalse(_is_control("\t"							)							)
     self.assertFalse(_is_control("\r"							)							)
 def 					UpperCAmelCase_							(    self				:List[Any]							)->							Dict:
     self.assertTrue(_is_punctuation("-"							)							)
     self.assertTrue(_is_punctuation("$"							)							)
     self.assertTrue(_is_punctuation("`"							)							)
     self.assertTrue(_is_punctuation("."							)							)

     self.assertFalse(_is_punctuation("A"							)							)
     self.assertFalse(_is_punctuation(" "							)							)
 def 					UpperCAmelCase_							(    self				:str							)->							List[str]:
     A__    =      self.get_tokenizer()
     A__    =      self.get_rust_tokenizer()

     # Example taken from the issue https://github.com/huggingface/tokenizers/issues/340
     self.assertListEqual([tokenizer.tokenize(lowercase_							) for t in ["Test", "\xad", "test"]]						,	[["[UNK]"], [], ["[UNK]"]]							)

     self.assertListEqual(
         [rust_tokenizer.tokenize(lowercase_							) for t in ["Test", "\xad", "test"]]						,	[["[UNK]"], [], ["[UNK]"]]							)
 @slow
 def 					UpperCAmelCase_							(    self				:Tuple							)->							List[Any]:
     A__    =      self.tokenizer_class.from_pretrained("google/mobilebert-uncased"							)

     A__    =      tokenizer.encode("sequence builders"						,	add_special_tokens=lowercase_							)
     A__    =      tokenizer.encode("multi-sequence build"						,	add_special_tokens=lowercase_							)

     A__    =      tokenizer.build_inputs_with_special_tokens(lowercase_							)
     A__    =      tokenizer.build_inputs_with_special_tokens(lowercase_						,	lowercase_							)

     assert encoded_sentence == [1_01] + text + [1_02]
     assert encoded_pair == [1_01] + text + [1_02] + text_a + [1_02]
 def 					UpperCAmelCase_							(    self				:Union[str, Any]							)->							str:
     for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
         with self.subTest(F"{tokenizer.__class__.__name__} ({pretrained_name})"							):
             A__    =      self.rust_tokenizer_class.from_pretrained(lowercase_						,	**lowercase_							)

             A__    =      F"A, naïve {tokenizer_r.mask_token} AllenNLP sentence."
             A__    =      tokenizer_r.encode_plus(
                 lowercase_						,	return_attention_mask=lowercase_						,	return_token_type_ids=lowercase_						,	return_offsets_mapping=lowercase_						,	add_special_tokens=lowercase_						,	)

             A__    =      tokenizer_r.do_lower_case if hasattr(lowercase_						,	"do_lower_case"							) else False
             A__    =      (
                 [
                     ((0, 0), tokenizer_r.cls_token),
                     ((0, 1), "A"),
                     ((1, 2), ","),
                     ((3, 5), "na"),
                     ((5, 6), "##ï"),
                     ((6, 8), "##ve"),
                     ((9, 15), tokenizer_r.mask_token),
                     ((16, 21), "Allen"),
                     ((21, 23), "##NL"),
                     ((23, 24), "##P"),
                     ((25, 33), "sentence"),
                     ((33, 34), "."),
                     ((0, 0), tokenizer_r.sep_token),
                 ]
                 if not do_lower_case
                 else [
                     ((0, 0), tokenizer_r.cls_token),
                     ((0, 1), "a"),
                     ((1, 2), ","),
                     ((3, 8), "naive"),
                     ((9, 15), tokenizer_r.mask_token),
                     ((16, 21), "allen"),
                     ((21, 23), "##nl"),
                     ((23, 24), "##p"),
                     ((25, 33), "sentence"),
                     ((33, 34), "."),
                     ((0, 0), tokenizer_r.sep_token),
                 ]
             )

             self.assertEqual(
                 [e[1] for e in expected_results]						,	tokenizer_r.convert_ids_to_tokens(tokens["input_ids"]							)							)
             self.assertEqual([e[0] for e in expected_results]						,	tokens["offset_mapping"]							)



 def 					UpperCAmelCase_							(    self				:Optional[Any]							)->							Optional[int]:
     A__    =      ["的", "人", "有"]
     A__    =      "".join(lowercase_							)
     for tokenizer, pretrained_name, kwargs in self.tokenizers_list:
         with self.subTest(F"{tokenizer.__class__.__name__} ({pretrained_name})"							):
             A__    =      True
             A__    =      self.tokenizer_class.from_pretrained(lowercase_						,	**lowercase_							)
             A__    =      self.rust_tokenizer_class.from_pretrained(lowercase_						,	**lowercase_							)

             A__    =      tokenizer_p.encode(lowercase_						,	add_special_tokens=lowercase_							)
             A__    =      tokenizer_r.encode(lowercase_						,	add_special_tokens=lowercase_							)

             A__    =      tokenizer_r.convert_ids_to_tokens(lowercase_							)
             A__    =      tokenizer_p.convert_ids_to_tokens(lowercase_							)

             # it is expected that each Chinese character is not preceded by "##"
             self.assertListEqual(lowercase_						,	lowercase_							)
             self.assertListEqual(lowercase_						,	lowercase_							)

             A__    =      False
             A__    =      self.rust_tokenizer_class.from_pretrained(lowercase_						,	**lowercase_							)
             A__    =      self.tokenizer_class.from_pretrained(lowercase_						,	**lowercase_							)

             A__    =      tokenizer_r.encode(lowercase_						,	add_special_tokens=lowercase_							)
             A__    =      tokenizer_p.encode(lowercase_						,	add_special_tokens=lowercase_							)

             A__    =      tokenizer_r.convert_ids_to_tokens(lowercase_							)
             A__    =      tokenizer_p.convert_ids_to_tokens(lowercase_							)

             # it is expected that only the first Chinese character is not preceded by "##".
             A__    =      [
                 F"##{token}" if idx != 0 else token for idx, token in enumerate(lowercase_							)
             ]
             self.assertListEqual(lowercase_						,	lowercase_							)
             self.assertListEqual(lowercase_						,	lowercase_							)










'''simple docstring'''

import unittest

import numpy as np





def 						UpperCamelCase    (							_lowerCamelCase : np.ndarray						,	_lowerCamelCase : np.ndarray						,	_lowerCamelCase : np.ndarray						,	_lowerCamelCase : np.ndarray | None = None						,	):
    A__    =      np.shape(_lowerCamelCase	)
    A__    =      np.shape(_lowerCamelCase	)
    A__    =      np.shape(_lowerCamelCase	)

    if shape_a[0] != shape_b[0]:
        A__    =      (
            "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(_lowerCamelCase	)

    if shape_b[1] != shape_c[1]:
        A__    =      (
            "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(_lowerCamelCase	)

    A__    =      pseudo_inv
    if a_inv is None:
        try:
            A__    =      np.linalg.inv(_lowerCamelCase	)
        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    ):
 def 					UpperCAmelCase_							(    self				:Any							)->							None:
     A__    =      np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]							)
     A__    =      np.array([[0, 3], [3, 0], [2, 3]]							)
     A__    =      np.array([[2, 1], [6, 3]]							)

     A__    =      schur_complement(lowercase_						,	lowercase_						,	lowercase_							)

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

     A__    =      np.linalg.det(lowercase_							)
     A__    =      np.linalg.det(lowercase_							)
     A__    =      np.linalg.det(lowercase_							)

     self.assertAlmostEqual(lowercase_						,	det_a * det_s							)
 def 					UpperCAmelCase_							(    self				:Dict							)->							None:
     A__    =      np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]							)
     A__    =      np.array([[0, 3], [3, 0], [2, 3]]							)
     A__    =      np.array([[2, 1], [6, 3]]							)

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



 def 					UpperCAmelCase_							(    self				:Union[str, Any]							)->							None:
     A__    =      np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]							)
     A__    =      np.array([[0, 3], [3, 0], [2, 3]]							)
     A__    =      np.array([[2, 1, 3], [6, 3, 5]]							)

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


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  unittest.main()



