
"""simple docstring"""







import inspect
import unittest







class 							__magic_name__     (		unittest.TestCase   ):





     def 							lowerCAmelCase      (				self   :							Union[str, Any]    ):
            try:
                   import diffusers  # noqa: F401
            except ImportError:
                   assert False





     def 							lowerCAmelCase      (				self   :							Optional[Any]    ):
            import diffusers
            from diffusers.dependency_versions_table import deps

            __snake_case     			=       inspect.getmembers(snake_case_							,						inspect.isclass    )

            for cls_name, cls_module in all_classes:
                   if "dummy_" in cls_module.__module__:
                          for backend in cls_module._backends:
                                 if backend == "k_diffusion":
                                        __snake_case     			=       "k-diffusion"
                                 elif backend == "invisible_watermark":
                                        __snake_case     			=       "invisible-watermark"
                                 assert backend in deps, F'''{backend} is not in the deps table!'''


"""simple docstring"""







from __future__ import annotations

from collections.abc import Callable
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE = 1_00							,    )  ->     float:







							"""simple docstring"""


							__snake_case     			=       x_start
							__snake_case     			=       fnc(SCREAMING_SNAKE_CASE )
							__snake_case     			=       0.0
							for _ in range(SCREAMING_SNAKE_CASE ):
														# Approximates small segments of curve as linear and solve
														# for trapezoidal area
														__snake_case     			=       (x_end - x_start) / steps + xa
														__snake_case     			=       fnc(SCREAMING_SNAKE_CASE )
														area += abs(fxa + fxa ) * (xa - xa) / 2
														# Increment step
														__snake_case     			=       xa
														__snake_case     			=       fxa
							return area


if __name__ == "__main__":
		def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     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:""")
		_SCREAMING_SNAKE_CASE	       =      10
		while i <= 100_000:
				print(F"""with {i} steps: {trapezoidal_area(f, -5, 5, i)}""")
				i *= 10
