

'''simple docstring'''






import argparse
from collections import defaultdict

import yaml


lowerCAmelCase__      		=			'''docs/source/en/_toctree.yml'''


def 	_A  (					A__   ):






 """simple docstring"""



 __lowercase													=				defaultdict(A__   )
 __lowercase													=				[]
 __lowercase													=				[]
 for doc in doc_list:
  if "local" in doc:
   counts[doc["local"]] += 1

  if doc["title"].lower() == "overview":
   overview_doc.append({'''local''': doc['''local'''], '''title''': doc['''title''']}   )
  else:
   new_doc_list.append(A__   )

 __lowercase													=				new_doc_list
 __lowercase													=				[key for key, value in counts.items() if value > 1]

 __lowercase													=				[]
 for duplicate_key in duplicates:
  __lowercase													=				list({doc['''title'''] for doc in doc_list if doc['''local'''] == duplicate_key}   )
  if len(A__   ) > 1:
   raise ValueError(
       F"{duplicate_key} is present several times in the documentation table of content at "
       '''`docs/source/en/_toctree.yml` with different *Title* values. Choose one of those and remove the '''
       '''others.'''   )
  # Only add this once
  new_doc.append({'''local''': duplicate_key, '''title''': titles[0]}   )

 # Add none duplicate-keys
 new_doc.extend([doc for doc in doc_list if '''local''' not in counts or counts[doc['''local''']] == 1]   )
 __lowercase													=				sorted(A__  ,       key=lambda A__   : s["title"].lower()   )

 # "overview" gets special treatment and is always first
 if len(A__   ) > 1:
  raise ValueError('''{doc_list} has two \'overview\' docs which is not allowed.'''   )

 overview_doc.extend(A__   )

 # Sort
 return overview_doc


def 	_A  (					A__=False   ):






 """simple docstring"""



 with open(A__  ,       encoding='''utf-8'''   ) as f:
  __lowercase													=				yaml.safe_load(f.read()   )

 # Get to the API doc
 __lowercase													=				0
 while content[api_idx]["title"] != "API":
  api_idx += 1
 __lowercase													=				content[api_idx]['''sections''']

 # Then to the model doc
 __lowercase													=				0
 while api_doc[scheduler_idx]["title"] != "Schedulers":
  scheduler_idx += 1

 __lowercase													=				api_doc[scheduler_idx]['''sections''']
 __lowercase													=				clean_doc_toc(A__   )

 __lowercase													=				False
 if new_scheduler_doc != scheduler_doc:
  __lowercase													=				True
  if overwrite:
   __lowercase													=				new_scheduler_doc

 if diff:
  if overwrite:
   __lowercase													=				api_doc
   with open(A__  ,       '''w'''  ,       encoding='''utf-8'''   ) as f:
    f.write(yaml.dump(A__  ,       allow_unicode=A__   )   )
  else:
   raise ValueError(
       '''The model doc part of the table of content is not properly sorted, run `make style` to fix this.'''   )


def 	_A  (					A__=False   ):






 """simple docstring"""



 with open(A__  ,       encoding='''utf-8'''   ) as f:
  __lowercase													=				yaml.safe_load(f.read()   )

 # Get to the API doc
 __lowercase													=				0
 while content[api_idx]["title"] != "API":
  api_idx += 1
 __lowercase													=				content[api_idx]['''sections''']

 # Then to the model doc
 __lowercase													=				0
 while api_doc[pipeline_idx]["title"] != "Pipelines":
  pipeline_idx += 1

 __lowercase													=				False
 __lowercase													=				api_doc[pipeline_idx]['''sections''']
 __lowercase													=				[]

 # sort sub pipeline docs
 for pipeline_doc in pipeline_docs:
  if "section" in pipeline_doc:
   __lowercase													=				pipeline_doc['''section''']
   __lowercase													=				clean_doc_toc(A__   )
   if overwrite:
    __lowercase													=				new_sub_pipeline_doc
  new_pipeline_docs.append(A__   )

 # sort overall pipeline doc
 __lowercase													=				clean_doc_toc(A__   )

 if new_pipeline_docs != pipeline_docs:
  __lowercase													=				True
  if overwrite:
   __lowercase													=				new_pipeline_docs

 if diff:
  if overwrite:
   __lowercase													=				api_doc
   with open(A__  ,       '''w'''  ,       encoding='''utf-8'''   ) as f:
    f.write(yaml.dump(A__  ,       allow_unicode=A__   )   )
  else:
   raise ValueError(
       '''The model doc part of the table of content is not properly sorted, run `make style` to fix this.'''   )


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

 check_scheduler_doc(args.fix_and_overwrite)
 check_pipeline_doc(args.fix_and_overwrite)




'''simple docstring'''






from collections.abc import Callable

import numpy as np


def 	_A  (					A__  ,       A__  ,       A__  ,       A__  ,       A__   ):






 """simple docstring"""



 __lowercase													=				int(np.ceil((x_end - xa) / step_size   )   )
 __lowercase													=				np.zeros((n + 1,)   )
 __lowercase													=				ya
 __lowercase													=				xa

 for k in range(A__   ):
  __lowercase													=				y[k] + step_size * ode_func(A__  ,       y[k]   )
  x += step_size

 return y


if __name__ == "__main__":
 import doctest

 doctest.testmod()

