"""simple docstring"""


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
lowerCAmelCase_:					Optional[Any]     =					"src/diffusers"

# Matches is_xxx_available()
lowerCAmelCase_:					int     =					re.compile(R"is\_([a-z_]*)_available\(\)")
# Matches from xxx import bla
lowerCAmelCase_:					int     =					re.compile(R"\s+from\s+\S*\s+import\s+([^\(\s].*)\n")


lowerCAmelCase_:					Tuple     =					"\n{0} = None\n"

lowerCAmelCase_:					Any     =					"\nclass {0}(metaclass=DummyObject):\n    _backends = {1}\n\n    def __init__(self, *args, **kwargs):\n        requires_backends(self, {1})\n\n    @classmethod\n    def from_config(cls, *args, **kwargs):\n        requires_backends(cls, {1})\n\n    @classmethod\n    def from_pretrained(cls, *args, **kwargs):\n        requires_backends(cls, {1})\n"


lowerCAmelCase_:					Any     =					"\ndef {0}(*args, **kwargs):\n    requires_backends({0}, {1})\n"







def 					__a   (		A      ):






     '''simple docstring'''



     lowercase__				 =							_re_backend.findall(A      )
     if len(A      ) == 0:
          return None

     return "_and_".join(A      )







def 					__a   (		):






     '''simple docstring'''



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

     # Get to the point we do the actual imports for type checking
     lowercase__				 =							0
     lowercase__				 =							{}
     # Go through the end of the file
     while line_index < len(A      ):
          # If the line contains is_backend_available, we grab all objects associated with the `else` block
          lowercase__				 =							find_backend(lines[line_index]      )
          if backend is not None:
               while not lines[line_index].startswith("else:"      ):
                    line_index += 1
               line_index += 1
               lowercase__				 =							[]
               # Until we unindent, add backend objects to the list
               while line_index < len(A      ) and len(lines[line_index]      ) > 1:
                    lowercase__				 =							lines[line_index]
                    lowercase__				 =							_re_single_line_import.search(A      )
                    if single_line_import_search is not None:
                         objects.extend(single_line_import_search.groups()[0].split(", "      )      )
                    elif line.startswith(" " * 8      ):
                         objects.append(line[8:-2]      )
                    line_index += 1

               if len(A      ) > 0:
                    lowercase__				 =							objects
          else:
               line_index += 1

     return backend_specific_objects







def 					__a   (		A    ,				A      ):






     '''simple docstring'''



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







def 					__a   (		A=None      ):






     '''simple docstring'''



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

     for backend, objects in backend_specific_objects.items():
          lowercase__				 =							"[" + ", ".join(f'''"{b}"''' for b in backend.split("_and_"      )      ) + "]"
          lowercase__				 =							"# 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(A    ,				A      ) for o in objects]      )
          lowercase__				 =							dummy_file

     return dummy_files







def 					__a   (		A=False      ):






     '''simple docstring'''



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

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

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

     for backend in dummy_files.keys():
          if dummy_files[backend] != actual_dummies[backend]:
               if overwrite:
                    print(
                        f'''Updating diffusers.utils.dummy_{short_names.get(A    ,				A      )}_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'''diffusers.utils.dummy_{short_names.get(A    ,				A      )}_objects.py. Run `make fix-copies` '''
                        "to fix this."      )


if __name__ == "__main__":
 lowerCAmelCase_:					Optional[Any]     =					argparse.ArgumentParser()
 parser.add_argument("--fix_and_overwrite", action="store_true", help="Whether to fix inconsistencies.")
 lowerCAmelCase_:					List[str]     =					parser.parse_args()

 check_dummies(args.fix_and_overwrite)





"""simple docstring"""


from sympy import diff, lambdify, symbols
from sympy.functions import *  # noqa: F403







def 					__a   (		A    ,				A    ,				A = "x"    ,				A = 10**-10    ,				A = 1    ,				):






     '''simple docstring'''



     lowercase__				 =							symbols(A      )
     lowercase__				 =							lambdify(A    ,				A      )
     lowercase__				 =							lambdify(A    ,				diff(A    ,				A      )      )

     lowercase__				 =							starting_point

     while True:
          if diff_function(A      ) != 0:
               lowercase__				 =							prev_guess - multiplicity * func(A      ) / diff_function(
                   A      )
          else:
               raise ZeroDivisionError("Could not find root"      ) from None

          # Precision is checked by comparing the difference of consecutive guesses
          if abs(next_guess - prev_guess      ) < precision:
               return next_guess

          lowercase__				 =							next_guess


# Let's Execute
if __name__ == "__main__":
 # Find root of trigonometric function
 # Find value of pi
 print(F'The root of sin(x) = 0 is {newton_raphson("sin(x)", 2)}')

 # Find root of polynomial
 # Find fourth Root of 5
 print(F'The root of x**4 - 5 = 0 is {newton_raphson("x**4 -5", 0.4 +5j)}')

 # Find value of e
 print(
     "The root of log(y) - 1 = 0 is ",
     F'{newton_raphson("log(y) - 1", 2, variable="y")}',
 )

 # Exponential Roots
 print(
     "The root of exp(x) - 1 = 0 is",
     F'{newton_raphson("exp(x) - 1", 1_0, precision=0.005)}',
 )

 # Find root of cos(x)
 print(F'The root of cos(x) = 0 is {newton_raphson("cos(x)", 0)}')




