






'''simple docstring'''






from __future__ import annotations

from collections.abc import Callable




def        _SCREAMING_SNAKE_CASE  (				A  :       Callable[[int | float], int | float]  ,		A  :       int | float  ,		A  :       int | float  ,		A  :       int = 1_00  ,		)    -> float:







   """simple docstring"""
   __snake_case				:      str     							= x_start
   __snake_case				:      Union[str, Any]     							= fnc(A  )
   __snake_case				:      Union[str, Any]     							= 0.0
   for _ in range(A  ):
      # Approximates small segments of curve as linear and solve
      # for trapezoidal area
      __snake_case				:      Any     							= (x_end - x_start) / steps + xa
      __snake_case				:      Tuple     							= fnc(A  )
      area += abs(fxa + fxa  ) * (xa - xa) / 2
      # Increment step
      __snake_case				:      Tuple     							= xa
      __snake_case				:      Dict     							= fxa
   return area


if __name__ == "__main__":




      def        _SCREAMING_SNAKE_CASE  (				A  :       List[Any]  )    -> List[Any]:







         """simple docstring"""
         return x**3 + x**2

      print('''f(x) = x^3 + x^2''')
      print('''The area between the curve, x = -5, x = 5 and the x axis is:''')
      __A    	=   1_0
      while i <= 1_0_0_0_0_0:
            print(f'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
            i *= 1_0







'''simple docstring'''






from packaging import version

from .import_utils import is_accelerate_available


if is_accelerate_available():
      import accelerate




def        _SCREAMING_SNAKE_CASE  (				A  :       Optional[Any]  )    -> int:







   """simple docstring"""
   if not is_accelerate_available():
      return method
   __snake_case				:      Optional[Any]     							= version.parse(accelerate.__version__  ).base_version
   if version.parse(A  ) < version.parse('0.17.0'  ):
      return method

   def wrapper(self  :       Optional[Any]  ,		*A  :       Optional[Any]  ,		**A  :       Optional[int]  ):
      if hasattr(self  ,		'_hf_hook'  ) and hasattr(self._hf_hook  ,		'pre_forward'  ):
         self._hf_hook.pre_forward(self  )
      return method(self  ,		*A  ,		**A  )

   return wrapper