


'''simple docstring'''
import numpy as np







def 			a_							(  UpperCamelCase_   ):
       A_						,				A_ 						=		a.shape
       A_ 						=		min(UpperCamelCase_	,     UpperCamelCase_   )
       A_ 						=		np.eye(UpperCamelCase_   )
       A_ 						=		a.copy()

       for k in range(t - 1   ):
              # select a column of modified matrix A':
              A_ 						=		r[k:, [k]]
              # construct first basis vector
              A_ 						=		np.zeros_like(UpperCamelCase_   )
              A_ 						=		1.0
              # determine scaling factor
              A_ 						=		np.linalg.norm(UpperCamelCase_   )
              # construct vector v for Householder reflection
              A_ 						=		x + np.sign(x[0]   ) * alpha * ea
              v /= np.linalg.norm(UpperCamelCase_   )

              # construct the Householder matrix
              A_ 						=		np.eye(m - k   ) - 2.0 * v @ v.T
              # pad with ones and zeros as necessary
              A_ 						=		np.block([[np.eye(UpperCamelCase_   ), np.zeros((k, m - k)   )], [np.zeros((m - k, k)   ), q_k]]   )

              A_ 						=		q @ q_k.T
              A_ 						=		q_k @ r

       return q, r


if __name__ == "__main__":
       import doctest

       doctest.testmod()









'''simple docstring'''
import argparse
import logging
import sys
from unittest.mock import patch

import run_glue_with_pabee

from transformers.testing_utils import TestCasePlus


logging.basicConfig(level=logging.DEBUG)

__SCREAMING_SNAKE_CASE				:							str		       =		logging.getLogger()







def 			a_							(  ):
							A_ 						=		argparse.ArgumentParser()
							parser.add_argument("-f"   )
							A_ 						=		parser.parse_args()
							return args.f







class 				__lowerCAmelCase      (      lowercase	):

						"""simple docstring"""






						def 							_UpperCAmelCase					(     self       :			List[Any]  ):
													A_ 						=		logging.StreamHandler(sys.stdout  )
													logger.addHandler(lowerCAmelCase  )

													A_ 						=		self.get_auto_remove_tmp_dir()
													A_ 						=		F"\n            run_glue_with_pabee.py\n            --model_type albert\n            --model_name_or_path albert-base-v2\n            --data_dir ./tests/fixtures/tests_samples/MRPC/\n            --output_dir {tmp_dir}\n            --overwrite_output_dir\n            --task_name mrpc\n            --do_train\n            --do_eval\n            --per_gpu_train_batch_size=2\n            --per_gpu_eval_batch_size=1\n            --learning_rate=2e-5\n            --max_steps=50\n            --warmup_steps=2\n            --seed=42\n            --max_seq_length=128\n            ".split()

													with patch.object(lowerCAmelCase   ,     "argv"   ,     lowerCAmelCase  ):
																				A_ 						=		run_glue_with_pabee.main()
																				for value in result.values():
																											self.assertGreaterEqual(lowerCAmelCase   ,     0.7_5  )





