"""simple docstring"""


from datasets.utils.patching import _PatchedModuleObj, patch_submodule

from . import _test_patching







def 					__a   (		):






     '''simple docstring'''



     import os as original_os
     from os import path as original_path
     from os import rename as original_rename
     from os.path import dirname as original_dirname
     from os.path import join as original_join

     assert _test_patching.os is original_os
     assert _test_patching.path is original_path
     assert _test_patching.join is original_join

     assert _test_patching.renamed_os is original_os
     assert _test_patching.renamed_path is original_path
     assert _test_patching.renamed_join is original_join

     lowercase__				 =							"__test_patch_submodule_mock__"
     with patch_submodule(_test_patching    ,				"os.path.join"    ,				UpperCAmelCase__      ):
          # Every way to access os.path.join must be patched, and the rest must stay untouched

          # check os.path.join
          assert isinstance(_test_patching.os    ,				_PatchedModuleObj      )
          assert isinstance(_test_patching.os.path    ,				_PatchedModuleObj      )
          assert _test_patching.os.path.join is mock

          # check path.join
          assert isinstance(_test_patching.path    ,				_PatchedModuleObj      )
          assert _test_patching.path.join is mock

          # check join
          assert _test_patching.join is mock

          # check that the other attributes are untouched
          assert _test_patching.os.rename is original_rename
          assert _test_patching.path.dirname is original_dirname
          assert _test_patching.os.path.dirname is original_dirname

          # Even renamed modules or objects must be patched

          # check renamed_os.path.join
          assert isinstance(_test_patching.renamed_os    ,				_PatchedModuleObj      )
          assert isinstance(_test_patching.renamed_os.path    ,				_PatchedModuleObj      )
          assert _test_patching.renamed_os.path.join is mock

          # check renamed_path.join
          assert isinstance(_test_patching.renamed_path    ,				_PatchedModuleObj      )
          assert _test_patching.renamed_path.join is mock

          # check renamed_join
          assert _test_patching.renamed_join is mock

          # check that the other attributes are untouched
          assert _test_patching.renamed_os.rename is original_rename
          assert _test_patching.renamed_path.dirname is original_dirname
          assert _test_patching.renamed_os.path.dirname is original_dirname

     # check that everthing is back to normal when the patch is over

     assert _test_patching.os is original_os
     assert _test_patching.path is original_path
     assert _test_patching.join is original_join

     assert _test_patching.renamed_os is original_os
     assert _test_patching.renamed_path is original_path
     assert _test_patching.renamed_join is original_join







def 					__a   (		):






     '''simple docstring'''



     assert _test_patching.open is open

     lowercase__				 =							"__test_patch_submodule_builtin_mock__"
     # _test_patching has "open" in its globals
     assert _test_patching.open is open
     with patch_submodule(_test_patching    ,				"open"    ,				UpperCAmelCase__      ):
          assert _test_patching.open is mock

     # check that everthing is back to normal when the patch is over

     assert _test_patching.open is open







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							"__test_patch_submodule_missing_mock__"
     with patch_submodule(_test_patching    ,				"pandas.read_csv"    ,				UpperCAmelCase__      ):
          pass







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							"__test_patch_submodule_missing_builtin_mock__"
     # _test_patching doesn't have "len" in its globals
     assert getattr(_test_patching    ,				"len"    ,				UpperCAmelCase__      ) is None
     with patch_submodule(_test_patching    ,				"len"    ,				UpperCAmelCase__      ):
          assert _test_patching.len is mock
     assert _test_patching.len is len







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							"__test_patch_submodule_start_and_stop_mock__"
     lowercase__				 =							patch_submodule(_test_patching    ,				"open"    ,				UpperCAmelCase__      )
     assert _test_patching.open is open
     patch.start()
     assert _test_patching.open is mock
     patch.stop()
     assert _test_patching.open is open







def 					__a   (		):






     '''simple docstring'''



     from os import rename as original_rename
     from os.path import dirname as original_dirname
     from os.path import join as original_join

     lowercase__				 =							"__test_patch_submodule_successive_join__"
     lowercase__				 =							"__test_patch_submodule_successive_dirname__"
     lowercase__				 =							"__test_patch_submodule_successive_rename__"
     assert _test_patching.os.path.join is original_join
     assert _test_patching.os.path.dirname is original_dirname
     assert _test_patching.os.rename is original_rename

     with patch_submodule(_test_patching    ,				"os.path.join"    ,				UpperCAmelCase__      ):
          with patch_submodule(_test_patching    ,				"os.rename"    ,				UpperCAmelCase__      ):
               with patch_submodule(_test_patching    ,				"os.path.dirname"    ,				UpperCAmelCase__      ):
                    assert _test_patching.os.path.join is mock_join
                    assert _test_patching.os.path.dirname is mock_dirname
                    assert _test_patching.os.rename is mock_rename

                    # try another order
     with patch_submodule(_test_patching    ,				"os.rename"    ,				UpperCAmelCase__      ):
          with patch_submodule(_test_patching    ,				"os.path.join"    ,				UpperCAmelCase__      ):
               with patch_submodule(_test_patching    ,				"os.path.dirname"    ,				UpperCAmelCase__      ):
                    assert _test_patching.os.path.join is mock_join
                    assert _test_patching.os.path.dirname is mock_dirname
                    assert _test_patching.os.rename is mock_rename

     assert _test_patching.os.path.join is original_join
     assert _test_patching.os.path.dirname is original_dirname
     assert _test_patching.os.rename is original_rename







def 					__a   (		):






     '''simple docstring'''



     lowercase__				 =							"__test_patch_submodule_doesnt_exist_mock__"
     with patch_submodule(_test_patching    ,				"__module_that_doesn_exist__.__attribute_that_doesn_exist__"    ,				UpperCAmelCase__      ):
          pass
     with patch_submodule(_test_patching    ,				"os.__attribute_that_doesn_exist__"    ,				UpperCAmelCase__      ):
          pass





"""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)}')




