



import unittest

import numpy as np





def 		a__			(		_UpperCamelCase			: np.ndarray ,_UpperCamelCase			: np.ndarray ,_UpperCamelCase			: np.ndarray ,_UpperCamelCase			: np.ndarray | None = None ,):
			__lowerCamelCase													=    np.shape(_UpperCamelCase							)
			__lowerCamelCase													=    np.shape(_UpperCamelCase							)
			__lowerCamelCase													=    np.shape(_UpperCamelCase							)

			if shape_a[0] != shape_b[0]:
						__lowerCamelCase													=    (
						    '''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(_UpperCamelCase							)

			if shape_b[1] != shape_c[1]:
						__lowerCamelCase													=    (
						    '''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(_UpperCamelCase							)

			__lowerCamelCase													=    pseudo_inv
			if a_inv is None:
						try:
									__lowerCamelCase													=    np.linalg.inv(_UpperCamelCase							)
						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  __lowerCAmelCase     (	unittest.TestCase   ):




	def        lowerCamelCase      (						self				):



				'''simple docstring'''
				__lowerCamelCase													=    np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]				)
				__lowerCamelCase													=    np.array([[0, 3], [3, 0], [2, 3]]				)
				__lowerCamelCase													=    np.array([[2, 1], [6, 3]]				)

				__lowerCamelCase													=    schur_complement(__UpperCAmelCase	,				__UpperCAmelCase	,				__UpperCAmelCase				)

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

				__lowerCamelCase													=    np.linalg.det(__UpperCAmelCase				)
				__lowerCamelCase													=    np.linalg.det(__UpperCAmelCase				)
				__lowerCamelCase													=    np.linalg.det(__UpperCAmelCase				)

				self.assertAlmostEqual(__UpperCAmelCase	,				det_a * det_s				)




	def        lowerCamelCase      (						self				):



				'''simple docstring'''
				__lowerCamelCase													=    np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]				)
				__lowerCamelCase													=    np.array([[0, 3], [3, 0], [2, 3]]				)
				__lowerCamelCase													=    np.array([[2, 1], [6, 3]]				)

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




	def        lowerCamelCase      (						self				):



				'''simple docstring'''
				__lowerCamelCase													=    np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]				)
				__lowerCamelCase													=    np.array([[0, 3], [3, 0], [2, 3]]				)
				__lowerCamelCase													=    np.array([[2, 1, 3], [6, 3, 5]]				)

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


if __name__ == "__main__":
		import doctest

		doctest.testmod()
		unittest.main()











import unittest

from transformers import RoFormerTokenizer, RoFormerTokenizerFast
from transformers.testing_utils import require_rjieba, require_tokenizers

from ...test_tokenization_common import TokenizerTesterMixin



@require_rjieba
@require_tokenizers
class  __lowerCAmelCase     (	lowerCAmelCase__  ,	unittest.TestCase   ):
 lowerCAmelCase__       					=  RoFormerTokenizer
 lowerCAmelCase__       					=  RoFormerTokenizerFast
 lowerCAmelCase__       					=  True
 lowerCAmelCase__       					=  True




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    super().setUp()




 def        lowerCamelCase      (						self	,				**__UpperCAmelCase				):



    '''simple docstring'''
    return self.tokenizer_class.from_pretrained('''junnyu/roformer_chinese_base'''	,				**__UpperCAmelCase				)




 def        lowerCamelCase      (						self	,				**__UpperCAmelCase				):



    '''simple docstring'''
    return self.rust_tokenizer_class.from_pretrained('''junnyu/roformer_chinese_base'''	,				**__UpperCAmelCase				)




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    __lowerCamelCase													=    '''永和服装饰品有限公司,今天天气非常好'''
    __lowerCamelCase													=    '''永和 服装 饰品 有限公司 , 今 天 天 气 非常 好'''
    return input_text, output_text




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    __lowerCamelCase													=    self.get_tokenizer()
    __lowerCamelCase							,__lowerCamelCase													=    self.get_chinese_input_output_texts()
    __lowerCamelCase													=    tokenizer.tokenize(__UpperCAmelCase				)

    self.assertListEqual(__UpperCAmelCase	,				output_text.split()				)

    __lowerCamelCase													=    tokens + [tokenizer.unk_token]
    __lowerCamelCase													=    [22943, 21332, 34431, 45904, 117, 306, 1231, 1231, 2653, 33994, 1266, 100]
    self.assertListEqual(tokenizer.convert_tokens_to_ids(__UpperCAmelCase				)	,				__UpperCAmelCase				)




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    __lowerCamelCase													=    self.get_rust_tokenizer()
    __lowerCamelCase							,__lowerCamelCase													=    self.get_chinese_input_output_texts()
    __lowerCamelCase													=    tokenizer.tokenize(__UpperCAmelCase				)
    self.assertListEqual(__UpperCAmelCase	,				output_text.split()				)
    __lowerCamelCase													=    tokens + [tokenizer.unk_token]
    __lowerCamelCase													=    [22943, 21332, 34431, 45904, 117, 306, 1231, 1231, 2653, 33994, 1266, 100]
    self.assertListEqual(tokenizer.convert_tokens_to_ids(__UpperCAmelCase				)	,				__UpperCAmelCase				)




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    pass




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    pass




 def        lowerCamelCase      (						self				):



    '''simple docstring'''
    pass






