code: def _augmented_orthnormal_cols(x, n_aug):
      if n_aug <= 0:
          return x
      m, n = x.shape
      y = cupy.empty((m, n + n_aug), dtype=x.dtype)
      y[:, :n] = x
      for i in range(n, n + n_aug):
          v = cupy.random.random((m,)).astype(x.dtype)
          v -= v @ y[:, :i].conj() @ y[:, :i].T
          y[:, i] = v / cupy.linalg.norm(v)
      return y
  
file_path: cupy/cupyx/scipy/sparse/linalg/_eigen.py
imports: import numpy
  import cupy
  from cupy import cublas
  from cupy._core import _dtype
  from cupy.cuda import device
  from cupy_backends.cuda.libs import cublas
  from cupyx.scipy.sparse import _csr
  from cupyx.scipy.sparse.linalg import _interface
label_desc: Use image node_id 6 for calling a global function with example usage: _augmented_orthnormal_cols(x, n_aug) and returns: y, x