





import argparse
import os
import re


# All paths are set with the intent you should run this script from the root of the repo with the command
# python utils/check_dummies.py
UpperCAmelCase_   				=  """src/transformers"""

# Matches is_xxx_available()
UpperCAmelCase_   				=  re.compile(R"""is\_([a-z_]*)_available()""")
# Matches from xxx import bla
UpperCAmelCase_   				=  re.compile(R"""\s+from\s+\S*\s+import\s+([^\(\s].*)\n""")
UpperCAmelCase_   				=  re.compile(R"""^\s+if\s+not\s+\(?is\_[a-z_]*\_available\(\)""")


UpperCAmelCase_   				=  """
{0} = None
"""

UpperCAmelCase_   				=  """
class {0}(metaclass=DummyObject):
    _backends = {1}

    def __init__(self, *args, **kwargs):
        requires_backends(self, {1})
"""


UpperCAmelCase_   				=  """
def {0}(*args, **kwargs):
    requires_backends({0}, {1})
"""





def     lowerCamelCase__  (  UpperCamelCase__      :							List[Any]    )      ->			List[str]:



					'''simple docstring'''




					if _re_test_backend.search(UpperCamelCase__    ) is None:
										return None
					_snake_case						=					[b[0] for b in _re_backend.findall(UpperCamelCase__    )]
					backends.sort()
					return "_and_".join(UpperCamelCase__    )





def     lowerCamelCase__  (  )      ->			Optional[Any]:



					'''simple docstring'''




					with open(os.path.join(UpperCamelCase__							,     '__init__.py'    )							,     'r'							,     encoding='utf-8'							,     newline='\n'    ) as f:
										_snake_case						=					f.readlines()

					# Get to the point we do the actual imports for type checking
					_snake_case						=					0
					while not lines[line_index].startswith('if TYPE_CHECKING'    ):
										line_index += 1

					_snake_case						=					{}
					# Go through the end of the file
					while line_index < len(UpperCamelCase__    ):
										# If the line is an if is_backend_available, we grab all objects associated.
										_snake_case						=					find_backend(lines[line_index]    )
										if backend is not None:
															while not lines[line_index].startswith('    else:'    ):
																				line_index += 1
															line_index += 1

															_snake_case						=					[]
															# Until we unindent, add backend objects to the list
															while len(lines[line_index]    ) <= 1 or lines[line_index].startswith(' ' * 8    ):
																				_snake_case						=					lines[line_index]
																				_snake_case						=					_re_single_line_import.search(UpperCamelCase__    )
																				if single_line_import_search is not None:
																									objects.extend(single_line_import_search.groups()[0].split(', '    )    )
																				elif line.startswith(' ' * 12    ):
																									objects.append(line[12:-2]    )
																				line_index += 1

															_snake_case						=					objects
										else:
															line_index += 1

					return backend_specific_objects





def     lowerCamelCase__  (  UpperCamelCase__      :							Tuple							,     UpperCamelCase__      :							Tuple    )      ->			int:



					'''simple docstring'''




					if name.isupper():
										return DUMMY_CONSTANT.format(UpperCamelCase__    )
					elif name.islower():
										return DUMMY_FUNCTION.format(UpperCamelCase__							,     UpperCamelCase__    )
					else:
										return DUMMY_CLASS.format(UpperCamelCase__							,     UpperCamelCase__    )





def     lowerCamelCase__  (  UpperCamelCase__      :							str=None    )      ->			Dict:



					'''simple docstring'''




					if backend_specific_objects is None:
										_snake_case						=					read_init()
					# For special correspondence backend to module name as used in the function requires_modulename
					_snake_case						=					{}

					for backend, objects in backend_specific_objects.items():
										_snake_case						=					'[' + ', '.join(F'''"{b}"''' for b in backend.split('_and_'    )    ) + ']'
										_snake_case						=					'# This file is autogenerated by the command `make fix-copies`, do not edit.\n'
										dummy_file += "from ..utils import DummyObject, requires_backends\n\n"
										dummy_file += "\n".join([create_dummy_object(UpperCamelCase__							,     UpperCamelCase__    ) for o in objects]    )
										_snake_case						=					dummy_file

					return dummy_files





def     lowerCamelCase__  (  UpperCamelCase__      :							Optional[int]=False    )      ->			Any:



					'''simple docstring'''




					_snake_case						=					create_dummy_files()
					# For special correspondence backend to shortcut as used in utils/dummy_xxx_objects.py
					_snake_case						=					{'torch': 'pt'}

					# Locate actual dummy modules and read their content.
					_snake_case						=					os.path.join(UpperCamelCase__							,     'utils'    )
					_snake_case						=					{
					    backend: os.path.join(UpperCamelCase__							,     F'''dummy_{short_names.get(UpperCamelCase__							,     UpperCamelCase__    )}_objects.py'''    )
					    for backend in dummy_files.keys()
					}

					_snake_case						=					{}
					for backend, file_path in dummy_file_paths.items():
										if os.path.isfile(UpperCamelCase__    ):
															with open(UpperCamelCase__							,     'r'							,     encoding='utf-8'							,     newline='\n'    ) as f:
																				_snake_case						=					f.read()
										else:
															_snake_case						=					''

					for backend in dummy_files.keys():
										if dummy_files[backend] != actual_dummies[backend]:
															if overwrite:
																				print(
																				    F'''Updating transformers.utils.dummy_{short_names.get(UpperCamelCase__							,     UpperCamelCase__    )}_objects.py as the main '''
																				    '__init__ has new objects.'    )
																				with open(dummy_file_paths[backend]							,     'w'							,     encoding='utf-8'							,     newline='\n'    ) as f:
																									f.write(dummy_files[backend]    )
															else:
																				raise ValueError(
																				    'The main __init__ has objects that are not present in '
																				    F'''transformers.utils.dummy_{short_names.get(UpperCamelCase__							,     UpperCamelCase__    )}_objects.py. Run `make fix-copies` '''
																				    'to fix this.'    )


if __name__ == "__main__":
					UpperCAmelCase_   				=  argparse.ArgumentParser()
					parser.add_argument("""--fix_and_overwrite""", action="""store_true""", help="""Whether to fix inconsistencies.""")
					UpperCAmelCase_   				=  parser.parse_args()

					check_dummies(args.fix_and_overwrite)










from typing import Any

import numpy as np





def     lowerCamelCase__  (  UpperCamelCase__      :							np.ndarray    )      ->			bool:



					'''simple docstring'''




					assert np.shape(UpperCamelCase__    )[0] == np.shape(UpperCamelCase__    )[1]

					# If matrix not symmetric, exit right away.
					if np.allclose(UpperCamelCase__							,     matrix.T    ) is False:
										return False

					# Get eigenvalues and eignevectors for a symmetric matrix.
					_snake_case				,  _snake_case						=					np.linalg.eigh(UpperCamelCase__    )

					# Check sign of all eigenvalues.
					# np.all returns a value of type np.bool_
					return bool(np.all(eigen_values > 0    )    )





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			Any:



					'''simple docstring'''




					_snake_case						=					np.random.randn(UpperCamelCase__							,     UpperCamelCase__    )
					_snake_case						=					np.dot(UpperCamelCase__							,     random_matrix.T    )
					assert _is_matrix_spd(UpperCamelCase__    )
					return spd_matrix





def     lowerCamelCase__  (  UpperCamelCase__      :							np.ndarray							,     UpperCamelCase__      :							np.ndarray							,     UpperCamelCase__      :							int = 1_000							,     UpperCamelCase__      :							float = 1e-8							,     )      ->			Any:



					'''simple docstring'''




					assert np.shape(UpperCamelCase__    )[0] == np.shape(UpperCamelCase__    )[1]
					assert np.shape(UpperCamelCase__    )[0] == np.shape(UpperCamelCase__    )[0]
					assert _is_matrix_spd(UpperCamelCase__    )

					# Initialize solution guess, residual, search direction.
					_snake_case						=					np.zeros((np.shape(UpperCamelCase__    )[0], 1)    )
					_snake_case						=					np.copy(UpperCamelCase__    )
					_snake_case						=					np.copy(UpperCamelCase__    )

					# Set initial errors in solution guess and residual.
					_snake_case						=					1e9
					_snake_case						=					1e9
					_snake_case						=					1e9

					# Set iteration counter to threshold number of iterations.
					_snake_case						=					0

					while error > tol:
										# Save this value so we only calculate the matrix-vector product once.
										_snake_case						=					np.dot(UpperCamelCase__							,     UpperCamelCase__    )

										# The main algorithm.

										# Update search direction magnitude.
										_snake_case						=					np.dot(ra.T							,     UpperCamelCase__    ) / np.dot(pa.T							,     UpperCamelCase__    )
										# Update solution guess.
										_snake_case						=					xa + alpha * pa
										# Calculate new residual.
										_snake_case						=					ra - alpha * w
										# Calculate new Krylov subspace scale.
										_snake_case						=					np.dot(r.T							,     UpperCamelCase__    ) / np.dot(ra.T							,     UpperCamelCase__    )
										# Calculate new A conjuage search direction.
										_snake_case						=					r + beta * pa

										# Calculate errors.
										_snake_case						=					np.linalg.norm(r - ra    )
										_snake_case						=					np.linalg.norm(x - xa    )
										_snake_case						=					np.maximum(UpperCamelCase__							,     UpperCamelCase__    )

										# Update variables.
										_snake_case						=					np.copy(UpperCamelCase__    )
										_snake_case						=					np.copy(UpperCamelCase__    )
										_snake_case						=					np.copy(UpperCamelCase__    )

										# Update number of iterations.
										iterations += 1
										if iterations > max_iterations:
															break

					return x





def     lowerCamelCase__  (  )      ->			None:



					'''simple docstring'''




					_snake_case						=					3
					_snake_case						=					_create_spd_matrix(UpperCamelCase__    )
					_snake_case						=					np.random.randn(UpperCamelCase__							,     1    )
					_snake_case						=					np.dot(UpperCamelCase__							,     UpperCamelCase__    )

					# Numpy solution.
					_snake_case						=					np.linalg.solve(UpperCamelCase__							,     UpperCamelCase__    )

					# Our implementation.
					_snake_case						=					conjugate_gradient(UpperCamelCase__							,     UpperCamelCase__    )

					# Ensure both solutions are close to x_true (and therefore one another).
					assert np.linalg.norm(x_numpy - x_true    ) <= 1e-6
					assert np.linalg.norm(x_conjugate_gradient - x_true    ) <= 1e-6


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					test_conjugate_gradient()



