

'''simple docstring'''
from math import factorial


def 	_lowerCAmelCase (						_UpperCamelCase						:					int							,			_UpperCamelCase						:					int							,			_UpperCamelCase						:					float    )				->      float:
					"""simple docstring"""




					if successes > trials:
										raise ValueError('successes must be lower or equal to trials'    )
					if trials < 0 or successes < 0:
										raise ValueError('the function is defined for non-negative integers'    )
					if not isinstance(_UpperCamelCase							,			_UpperCamelCase    ) or not isinstance(_UpperCamelCase							,			_UpperCamelCase    ):
										raise ValueError('the function is defined for non-negative integers'    )
					if not 0 < prob < 1:
										raise ValueError('prob has to be in range of 1 - 0'    )
					_SCREAMING_SNAKE_CASE							   =(prob**successes) * ((1 - prob) ** (trials - successes))
					# Calculate the binomial coefficient: n! / k!(n-k)!
					_SCREAMING_SNAKE_CASE							   =float(factorial(_UpperCamelCase    )    )
					coefficient /= factorial(_UpperCamelCase    ) * factorial(trials - successes    )
					return probability * coefficient


if __name__ == "__main__":
					from doctest import testmod

					testmod()
					print("Probability of 2 successes out of 4 trails")
					print("with probability of 0.75 is:", end=" ")
					print(binomial_distribution(2, 4, 0.7_5))



'''simple docstring'''
from datasets.utils.patching import _PatchedModuleObj, patch_submodule

from . import _test_patching


def 	_lowerCAmelCase (						)				->      int:
     """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

     _SCREAMING_SNAKE_CASE							   ='__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 	_lowerCAmelCase (						)				->      Optional[Any]:
     """simple docstring"""




     assert _test_patching.open is open

     _SCREAMING_SNAKE_CASE							   ='__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 	_lowerCAmelCase (						)				->      str:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   ='__test_patch_submodule_missing_mock__'
     with patch_submodule(_test_patching							,			'pandas.read_csv'							,			_UpperCamelCase    ):
          pass


def 	_lowerCAmelCase (						)				->      Optional[Any]:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   ='__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 	_lowerCAmelCase (						)				->      str:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   ='__test_patch_submodule_start_and_stop_mock__'
     _SCREAMING_SNAKE_CASE							   =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 	_lowerCAmelCase (						)				->      Optional[Any]:
     """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

     _SCREAMING_SNAKE_CASE							   ='__test_patch_submodule_successive_join__'
     _SCREAMING_SNAKE_CASE							   ='__test_patch_submodule_successive_dirname__'
     _SCREAMING_SNAKE_CASE							   ='__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 	_lowerCAmelCase (						)				->      Optional[Any]:
     """simple docstring"""




     _SCREAMING_SNAKE_CASE							   ='__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
