



from math import pi, sqrt







def     UpperCAmelCase_		(					snake_case__					)	->     int:



				"""simple docstring"""





				if num <= 0:
								raise ValueError('math domain error'					)
				if num > 171.5:
								raise OverflowError('math range error'					)
				elif num - int(__snake_case					) not in (0, 0.5):
								raise NotImplementedError('num must be an integer or a half-integer'					)
				elif num == 0.5:
								return sqrt(__snake_case					)
				else:
								return 1.0 if num == 1 else (num - 1) * gamma(num - 1					)







def     UpperCAmelCase_		(					)	->     str:



				"""simple docstring"""





				assert gamma(0.5					) == sqrt(__snake_case					)
				assert gamma(1					) == 1.0
				assert gamma(2					) == 1.0


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

	testmod()
	_lowerCAmelCase	:   Dict    =   1.0
	while num:
		_lowerCAmelCase	:   Union[str, Any]    =   float(input("Gamma of: "))
		print(f"""gamma({num}) = {gamma(num)}""")
		print("\nEnter 0 to exit...")




"""simple docstring"""
# limitations under the License.

# NOTE: This file is deprecated and will be removed in a future version.
# It only exists so that temporarely `from diffusers.pipelines import DiffusionPipeline` works

from .pipelines import DiffusionPipeline, ImagePipelineOutput  # noqa: F401
from .utils import deprecate


deprecate(
    """pipelines_utils""",
    """0.22.0""",
    """Importing `DiffusionPipeline` or `ImagePipelineOutput` from diffusers.pipeline_utils is deprecated. Please import from diffusers.pipelines.pipeline_utils instead.""",
    standard_warn=False,
    stacklevel=3,
)

