


"""simple docstring"""




from numpy import exp, pi, sqrt

def        lowercase							(		lowerCAmelCase__ :     Union[str, Any]    ,					lowerCAmelCase__ :     float = 0.0    ,					lowerCAmelCase__ :     float = 1.0			) ->      int:
		return 1 / sqrt(2 * pi * sigma**2			) * exp(-((x - mu) ** 2) / (2 * sigma**2)			)


if __name__ == "__main__":
				import doctest

				doctest.testmod()










import sys

from .dependency_versions_table import deps
from .utils.versions import require_version, require_version_core


# define which module versions we always want to check at run time
# (usually the ones defined in `install_requires` in setup.py)
#
# order specific notes:
# - tqdm must be checked before tokenizers

snake_case				:    Union[str, Any]       				=     '''python tqdm regex requests packaging filelock numpy tokenizers'''.split()
if sys.version_info < (3, 7):
     pkgs_to_check_at_runtime.append('''dataclasses''')
if sys.version_info < (3, 8):
     pkgs_to_check_at_runtime.append('''importlib_metadata''')

for pkg in pkgs_to_check_at_runtime:
     if pkg in deps:
          if pkg == "tokenizers":
               # must be loaded here, or else tqdm check may fail
               from .utils import is_tokenizers_available

               if not is_tokenizers_available():
                    continue  # not required, check version only if installed

          require_version_core(deps[pkg])
     else:
          raise ValueError(F"""can't find {pkg} in {deps.keys()}, check dependency_versions_table.py""")
def 				__lowerCamelCase						( UpperCAmelCase_						:		Any ,  UpperCAmelCase_						:		Optional[int]=None						):




      """simple docstring"""





      require_version(deps[pkg] ,  UpperCAmelCase_						)





