




'''simple docstring'''


import numpy as np


def 						SCREAMING_SNAKE_CASE       (      a_	:							np.ndarray				,					a_	:							np.ndarray				,					a_	:							float = 1e-12				,					a_	:							int = 100				,					):
  assert np.shape(a_			)[0] == np.shape(a_			)[1]
  # Ensure proper dimensionality.
  assert np.shape(a_			)[0] == np.shape(a_			)[0]
  # Ensure inputs are either both complex or both real
  assert np.iscomplexobj(a_			) == np.iscomplexobj(a_			)
  __a			=					np.iscomplexobj(a_			)
  if is_complex:
    # Ensure complex input_matrix is Hermitian
    assert np.array_equal(a_				,					input_matrix.conj().T			)

  # Set convergence to False. Will define convergence when we exceed max_iterations
  # or when we have small changes from one iteration to next.

  __a			=					False
  __a			=					0
  __a			=					0
  __a			=					1e12

  while not convergence:
    # Multiple matrix by the vector.
    __a			=					np.dot(a_				,					a_			)
    # Normalize the resulting output vector.
    __a			=					w / np.linalg.norm(a_			)
    # Find rayleigh quotient
    # (faster than usual b/c we know vector is normalized already)
    __a			=					vector.conj().T if is_complex else vector.T
    __a			=					np.dot(a_				,					np.dot(a_				,					a_			)			)

    # Check convergence.
    __a			=					np.abs(lambda_ - lambda_previous			) / lambda_
    iterations += 1

    if error <= error_tol or iterations >= max_iterations:
      __a			=					True

    __a			=					lambda_

  if is_complex:
    __a			=					np.real(lambda_			)

  return lambda_, vector


def 						SCREAMING_SNAKE_CASE       (      ):
  __a			=					np.array([[41, 4, 20], [4, 26, 30], [20, 30, 50]]			)
  __a			=					np.array([41, 4, 20]			)
  __a			=					real_input_matrix.astype(np.complexaaa			)
  __a			=					np.triu(1j * complex_input_matrix				,					1			)
  complex_input_matrix += imag_matrix
  complex_input_matrix += -1 * imag_matrix.T
  __a			=					np.array([41, 4, 20]			).astype(np.complexaaa			)

  for problem_type in ["real", "complex"]:
    if problem_type == "real":
      __a			=					real_input_matrix
      __a			=					real_vector
    elif problem_type == "complex":
      __a			=					complex_input_matrix
      __a			=					complex_vector

    # Our implementation.
    __a	,       __a			=					power_iteration(a_				,					a_			)

    # Numpy implementation.

    # Get eigenvalues and eigenvectors using built-in numpy
    # eigh (eigh used for symmetric or hermetian matrices).
    __a	,       __a			=					np.linalg.eigh(a_			)
    # Last eigenvalue is the maximum one.
    __a			=					eigen_values[-1]
    # Last column in this matrix is eigenvector corresponding to largest eigenvalue.
    __a			=					eigen_vectors[:, -1]

    # Check our implementation and numpy gives close answers.
    assert np.abs(eigen_value - eigen_value_max			) <= 1e-6
    # Take absolute values element wise of each eigenvector.
    # as they are only unique to a minus sign.
    assert np.linalg.norm(np.abs(a_			) - np.abs(a_			)			) <= 1e-6


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  test_power_iteration()









'''simple docstring'''


import os
from datetime import datetime as dt

from github import Github


UpperCAmelCase_ 		=      [
    "good first issue",
    "good second issue",
    "good difficult issue",
    "enhancement",
    "new pipeline/model",
    "new scheduler",
    "wip",
]


def 						SCREAMING_SNAKE_CASE       (      ):
  __a			=					Github(os.environ['GITHUB_TOKEN']			)
  __a			=					g.get_repo('huggingface/diffusers'			)
  __a			=					repo.get_issues(state='open'			)

  for issue in open_issues:
    __a			=					sorted(issue.get_comments()				,					key=lambda a_			: i.created_at				,					reverse=a_			)
    __a			=					comments[0] if len(a_			) > 0 else None
    if (
        last_comment is not None
        and last_comment.user.login == "github-actions[bot]"
        and (dt.utcnow() - issue.updated_at).days > 7
        and (dt.utcnow() - issue.created_at).days >= 30
        and not any(label.name.lower() in LABELS_TO_EXEMPT for label in issue.get_labels()			)
    ):
      # Closes the issue after 7 days of inactivity since the Stalebot notification.
      issue.edit(state='closed'			)
    elif (
        "stale" in issue.get_labels()
        and last_comment is not None
        and last_comment.user.login != "github-actions[bot]"
    ):
      # Opens the issue if someone other than Stalebot commented.
      issue.edit(state='open'			)
      issue.remove_from_labels('stale'			)
    elif (
        (dt.utcnow() - issue.updated_at).days > 23
        and (dt.utcnow() - issue.created_at).days >= 30
        and not any(label.name.lower() in LABELS_TO_EXEMPT for label in issue.get_labels()			)
    ):
      # Post a Stalebot notification after 23 days of inactivity.
      issue.create_comment(
          'This issue has been automatically marked as stale because it has not had '
          'recent activity. If you think this still needs to be addressed '
          'please comment on this thread.\n\nPlease note that issues that do not follow the '
          '[contributing guidelines](https://github.com/huggingface/diffusers/blob/main/CONTRIBUTING.md) '
          'are likely to be ignored.'			)
      issue.add_to_labels('stale'			)


if __name__ == "__main__":
  main()



