






"""simple docstring"""


import numpy as np



def    lowerCAmelCase							(       __UpperCamelCase					):




  """simple docstring"""







  __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 warnings

from ...utils import logging
from .image_processing_vilt import ViltImageProcessor


lowercase_								=	logging.get_logger(__name__)


class    snake_case						(				_lowerCAmelCase		):


   '''simple docstring'''

   def __init__(      self					:	Optional[int],			*_lowerCamelCase					:	int,			**_lowerCamelCase					:	str    ):

     '''simple docstring'''
     warnings.warn(
         '''The class ViltFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please'''
         ''' use ViltImageProcessor instead.''',			_lowerCamelCase,			)
     super().__init__(*_lowerCamelCase,			**_lowerCamelCase    )




