'''simple docstring'''




import argparse
import os
import re


_lowercase		:				List[Any]	       =		"src/transformers"

# Pattern that looks at the indentation in a line.
_lowercase		:				str	       =		re.compile(r"^(\s*)\S")
# Pattern that matches `"key":" and puts `key` in group 0.
_lowercase		:				str	       =		re.compile(r"^\s*\"([^\"]+)\":")
# Pattern that matches `_import_structure["key"]` and puts `key` in group 0.
_lowercase		:				List[Any]	       =		re.compile(r"^\s*_import_structure\[\"([^\"]+)\"\]")
# Pattern that matches `"key",` and puts `key` in group 0.
_lowercase		:				Tuple	       =		re.compile(r"^\s*\"([^\"]+)\",\s*$")
# Pattern that matches any `[stuff]` and puts `stuff` in group 0.
_lowercase		:				str	       =		re.compile(r"\[([^\]]+)\]")




def 							lowerCamelCase			(   UpperCAmelCase__ :      Optional[int]				)    ->   Optional[Any]:
							lowercase_      :    Union[str, Any]       		= _re_indent.search(UpperCAmelCase__				)
							return "" if search is None else search.groups()[0]




def 							lowerCamelCase			(   UpperCAmelCase__ :      Optional[int]   ,   UpperCAmelCase__ :      Union[str, Any]=""   ,   UpperCAmelCase__ :      Union[str, Any]=None   ,   UpperCAmelCase__ :      Any=None				)    ->   int:
							lowercase_      :    Dict       		= 0
							lowercase_      :    List[str]       		= code.split("""\n"""				)
							if start_prompt is not None:
														while not lines[index].startswith(UpperCAmelCase__				):
																					index += 1
														lowercase_      :    str       		= ["""\n""".join(lines[:index]				)]
							else:
														lowercase_      :    str       		= []

							# We split into blocks until we get to the `end_prompt` (or the end of the block).
							lowercase_      :    Optional[Any]       		= [lines[index]]
							index += 1
							while index < len(UpperCAmelCase__				) and (end_prompt is None or not lines[index].startswith(UpperCAmelCase__				)):
														if len(lines[index]				) > 0 and get_indent(lines[index]				) == indent_level:
																					if len(UpperCAmelCase__				) > 0 and get_indent(current_block[-1]				).startswith(indent_level + """ """				):
																												current_block.append(lines[index]				)
																												blocks.append("""\n""".join(UpperCAmelCase__				)				)
																												if index < len(UpperCAmelCase__				) - 1:
																																			lowercase_      :    str       		= [lines[index + 1]]
																																			index += 1
																												else:
																																			lowercase_      :    int       		= []
																					else:
																												blocks.append("""\n""".join(UpperCAmelCase__				)				)
																												lowercase_      :    Optional[Any]       		= [lines[index]]
														else:
																					current_block.append(lines[index]				)
														index += 1

							# Adds current block if it's nonempty.
							if len(UpperCAmelCase__				) > 0:
														blocks.append("""\n""".join(UpperCAmelCase__				)				)

							# Add final block after end_prompt if provided.
							if end_prompt is not None and index < len(UpperCAmelCase__				):
														blocks.append("""\n""".join(lines[index:]				)				)

							return blocks




def 							lowerCamelCase			(   UpperCAmelCase__ :      int				)    ->   Any:

							def _inner(UpperCAmelCase__ :      List[str]				):
														return key(UpperCAmelCase__				).lower().replace("""_"""   ,   """"""				)

							return _inner




def 							lowerCamelCase			(   UpperCAmelCase__ :      Union[str, Any]   ,   UpperCAmelCase__ :      str=None				)    ->   int:

							# If no key is provided, we use a noop.
							def noop(UpperCAmelCase__ :      List[Any]				):
														return x

							if key is None:
														lowercase_      :    int       		= noop
							# Constants are all uppercase, they go first.
							lowercase_      :    Any       		= [obj for obj in objects if key(UpperCAmelCase__				).isupper()]
							# Classes are not all uppercase but start with a capital, they go second.
							lowercase_      :    Union[str, Any]       		= [obj for obj in objects if key(UpperCAmelCase__				)[0].isupper() and not key(UpperCAmelCase__				).isupper()]
							# Functions begin with a lowercase, they go last.
							lowercase_      :    str       		= [obj for obj in objects if not key(UpperCAmelCase__				)[0].isupper()]

							lowercase_      :    Dict       		= ignore_underscore(UpperCAmelCase__				)
							return sorted(UpperCAmelCase__   ,   key=UpperCAmelCase__				) + sorted(UpperCAmelCase__   ,   key=UpperCAmelCase__				) + sorted(UpperCAmelCase__   ,   key=UpperCAmelCase__				)




def 							lowerCamelCase			(   UpperCAmelCase__ :      Dict				)    ->   Optional[int]:

							# This inner function sort imports between [ ].
							def _replace(UpperCAmelCase__ :      Dict				):
														lowercase_      :    str       		= match.groups()[0]
														if "," not in imports:
																					return F'''[{imports}]'''
														lowercase_      :    Optional[int]       		= [part.strip().replace("""\""""   ,   """"""				) for part in imports.split(""","""				)]
														# We will have a final empty element if the line finished with a comma.
														if len(keys[-1]				) == 0:
																					lowercase_      :    int       		= keys[:-1]
														return "[" + ", ".join([F'''"{k}"''' for k in sort_objects(UpperCAmelCase__				)]				) + "]"

							lowercase_      :    Union[str, Any]       		= import_statement.split("""\n"""				)
							if len(UpperCAmelCase__				) > 3:
														# Here we have to sort internal imports that are on several lines (one per name):
														# key: [
														#     "object1",
														#     "object2",
														#     ...
														# ]

														# We may have to ignore one or two lines on each side.
														lowercase_      :    Optional[int]       		= 2 if lines[1].strip() == """[""" else 1
														lowercase_      :    Tuple       		= [(i, _re_strip_line.search(UpperCAmelCase__				).groups()[0]) for i, line in enumerate(lines[idx:-idx]				)]
														lowercase_      :    Dict       		= sort_objects(UpperCAmelCase__   ,   key=lambda UpperCAmelCase__				: x[1]				)
														lowercase_      :    int       		= [lines[x[0] + idx] for x in sorted_indices]
														return "\n".join(lines[:idx] + sorted_lines + lines[-idx:]				)
							elif len(UpperCAmelCase__				) == 3:
														# Here we have to sort internal imports that are on one separate line:
														# key: [
														#     "object1", "object2", ...
														# ]
														if _re_bracket_content.search(lines[1]				) is not None:
																					lowercase_      :    Optional[Any]       		= _re_bracket_content.sub(_replace   ,   lines[1]				)
														else:
																					lowercase_      :    Optional[Any]       		= [part.strip().replace("""\""""   ,   """"""				) for part in lines[1].split(""","""				)]
																					# We will have a final empty element if the line finished with a comma.
																					if len(keys[-1]				) == 0:
																												lowercase_      :    List[str]       		= keys[:-1]
																					lowercase_      :    Optional[Any]       		= get_indent(lines[1]				) + """, """.join([F'''"{k}"''' for k in sort_objects(UpperCAmelCase__				)]				)
														return "\n".join(UpperCAmelCase__				)
							else:
														# Finally we have to deal with imports fitting on one line
														lowercase_      :    List[Any]       		= _re_bracket_content.sub(_replace   ,   UpperCAmelCase__				)
														return import_statement




def 							lowerCamelCase			(   UpperCAmelCase__ :      List[str]   ,   UpperCAmelCase__ :      int=True				)    ->   Any:
							with open(UpperCAmelCase__   ,   encoding="""utf-8"""				) as f:
														lowercase_      :    str       		= f.read()

							if "_import_structure" not in code:
														return

							# Blocks of indent level 0
							lowercase_      :    Union[str, Any]       		= split_code_in_indented_blocks(
							    UpperCAmelCase__   ,   start_prompt="""_import_structure = {"""   ,   end_prompt="""if TYPE_CHECKING:"""				)

							# We ignore block 0 (everything untils start_prompt) and the last block (everything after end_prompt).
							for block_idx in range(1   ,   len(UpperCAmelCase__				) - 1				):
														# Check if the block contains some `_import_structure`s thingy to sort.
														lowercase_      :    List[str]       		= main_blocks[block_idx]
														lowercase_      :    Union[str, Any]       		= block.split("""\n"""				)

														# Get to the start of the imports.
														lowercase_      :    Union[str, Any]       		= 0
														while line_idx < len(UpperCAmelCase__				) and "_import_structure" not in block_lines[line_idx]:
																					# Skip dummy import blocks
																					if "import dummy" in block_lines[line_idx]:
																												lowercase_      :    int       		= len(UpperCAmelCase__				)
																					else:
																												line_idx += 1
														if line_idx >= len(UpperCAmelCase__				):
																					continue

														# Ignore beginning and last line: they don't contain anything.
														lowercase_      :    Dict       		= """\n""".join(block_lines[line_idx:-1]				)
														lowercase_      :    Optional[int]       		= get_indent(block_lines[1]				)
														# Slit the internal block into blocks of indent level 1.
														lowercase_      :    List[str]       		= split_code_in_indented_blocks(UpperCAmelCase__   ,   indent_level=UpperCAmelCase__				)
														# We have two categories of import key: list or _import_structure[key].append/extend
														lowercase_      :    str       		= _re_direct_key if """_import_structure = {""" in block_lines[0] else _re_indirect_key
														# Grab the keys, but there is a trap: some lines are empty or just comments.
														lowercase_      :    str       		= [(pattern.search(UpperCAmelCase__				).groups()[0] if pattern.search(UpperCAmelCase__				) is not None else None) for b in internal_blocks]
														# We only sort the lines with a key.
														lowercase_      :    List[Any]       		= [(i, key) for i, key in enumerate(UpperCAmelCase__				) if key is not None]
														lowercase_      :    List[str]       		= [x[0] for x in sorted(UpperCAmelCase__   ,   key=lambda UpperCAmelCase__				: x[1]				)]

														# We reorder the blocks by leaving empty lines/comments as they were and reorder the rest.
														lowercase_      :    Any       		= 0
														lowercase_      :    str       		= []
														for i in range(len(UpperCAmelCase__				)				):
																					if keys[i] is None:
																												reorderded_blocks.append(internal_blocks[i]				)
																					else:
																												lowercase_      :    Optional[int]       		= sort_objects_in_import(internal_blocks[sorted_indices[count]]				)
																												reorderded_blocks.append(UpperCAmelCase__				)
																												count += 1

        # And we put our main block back together with its first and last line.
														lowercase_      :    List[Any]       		= """\n""".join(block_lines[:line_idx] + reorderded_blocks + [block_lines[-1]]				)

							if code != "\n".join(UpperCAmelCase__				):
														if check_only:
																					return True
														else:
																					print(F'''Overwriting {file}.'''				)
																					with open(UpperCAmelCase__   ,   """w"""   ,   encoding="""utf-8"""				) as f:
																												f.write("""\n""".join(UpperCAmelCase__				)				)




def 							lowerCamelCase			(   UpperCAmelCase__ :      List[Any]=True				)    ->   Dict:
							lowercase_      :    List[Any]       		= []
							for root, _, files in os.walk(UpperCAmelCase__				):
														if "__init__.py" in files:
																					lowercase_      :    Optional[Any]       		= sort_imports(os.path.join(UpperCAmelCase__   ,   """__init__.py"""				)   ,   check_only=UpperCAmelCase__				)
																					if result:
																												lowercase_      :    Dict       		= [os.path.join(UpperCAmelCase__   ,   """__init__.py"""				)]
							if len(UpperCAmelCase__				) > 0:
														raise ValueError(F'''Would overwrite {len(UpperCAmelCase__				)} files, run `make style`.'''				)


if __name__ == "__main__":
						_lowercase		:				Any	       =		argparse.ArgumentParser()
						parser.add_argument("--check_only", action="store_true", help="Whether to only check or fix style.")
						_lowercase		:				Union[str, Any]	       =		parser.parse_args()

						sort_imports_in_all_inits(check_only=args.check_only)






'''simple docstring'''




import unittest

import numpy as np




def 							lowerCamelCase			(   UpperCAmelCase__ :      np.ndarray   ,   UpperCAmelCase__ :      np.ndarray   ,   UpperCAmelCase__ :      np.ndarray   ,   UpperCAmelCase__ :      np.ndarray | None = None   ,   )    ->   np.ndarray:
							lowercase_      :    List[Any]       		= np.shape(UpperCAmelCase__				)
							lowercase_      :    Dict       		= np.shape(UpperCAmelCase__				)
							lowercase_      :    int       		= np.shape(UpperCAmelCase__				)

							if shape_a[0] != shape_b[0]:
														lowercase_      :    Optional[int]       		= (
														    """Expected the same number of rows for A and B. """
														    F'''Instead found A of size {shape_a} and B of size {shape_b}'''
														)
														raise ValueError(UpperCAmelCase__				)

							if shape_b[1] != shape_c[1]:
														lowercase_      :    Optional[Any]       		= (
														    """Expected the same number of columns for B and C. """
														    F'''Instead found B of size {shape_b} and C of size {shape_c}'''
														)
														raise ValueError(UpperCAmelCase__				)

							lowercase_      :    Any       		= pseudo_inv
							if a_inv is None:
														try:
																					lowercase_      :    List[str]       		= np.linalg.inv(UpperCAmelCase__				)
														except np.linalg.LinAlgError:
																					raise ValueError(
																					    """Input matrix A is not invertible. Cannot compute Schur complement."""				)

							return mat_c - mat_b.T @ a_inv @ mat_b





class 					__magic_name__		(					unittest.TestCase):







			def 			SCREAMING_SNAKE_CASE_  (			self       :						Optional[int]					):
										lowercase_      :    Tuple       		= np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]					)
										lowercase_      :    int       		= np.array([[0, 3], [3, 0], [2, 3]]					)
										lowercase_      :    Dict       		= np.array([[2, 1], [6, 3]]					)

										lowercase_      :    Union[str, Any]       		= schur_complement(lowercase_       ,    lowercase_       ,    lowercase_					)

										lowercase_      :    List[Any]       		= np.block([[a, b], [b.T, c]]					)

										lowercase_      :    Optional[int]       		= np.linalg.det(lowercase_					)
										lowercase_      :    int       		= np.linalg.det(lowercase_					)
										lowercase_      :    int       		= np.linalg.det(lowercase_					)

										self.assertAlmostEqual(lowercase_       ,    det_a * det_s					)







			def 			SCREAMING_SNAKE_CASE_  (			self       :						str					):
										lowercase_      :    int       		= np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]					)
										lowercase_      :    Optional[Any]       		= np.array([[0, 3], [3, 0], [2, 3]]					)
										lowercase_      :    Union[str, Any]       		= np.array([[2, 1], [6, 3]]					)

										with self.assertRaises(lowercase_					):
																	schur_complement(lowercase_       ,    lowercase_       ,    lowercase_					)







			def 			SCREAMING_SNAKE_CASE_  (			self       :						Any					):
										lowercase_      :    List[Any]       		= np.array([[1, 2, 1], [2, 1, 2], [3, 2, 4]]					)
										lowercase_      :    List[Any]       		= np.array([[0, 3], [3, 0], [2, 3]]					)
										lowercase_      :    str       		= np.array([[2, 1, 3], [6, 3, 5]]					)

										with self.assertRaises(lowercase_					):
																	schur_complement(lowercase_       ,    lowercase_       ,    lowercase_					)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						unittest.main()





