
import os
from pathlib import Path


def 							SCREAMING_SNAKE_CASE_      (			):
      from torch.utils.cpp_extension import load

      UpperCamelCase__    :   str					=				Path(_SCREAMING_SNAKE_CASE		).resolve().parent.parent.parent / '''kernels''' / '''deformable_detr'''
      UpperCamelCase__    :   int					=				[
          root / filename
          for filename in [
              '''vision.cpp''',
              os.path.join('''cpu''' ,		'''ms_deform_attn_cpu.cpp'''		),
              os.path.join('''cuda''' ,		'''ms_deform_attn_cuda.cu'''		),
          ]
      ]

      load(
          '''MultiScaleDeformableAttention''' ,		_SCREAMING_SNAKE_CASE ,		with_cuda=_SCREAMING_SNAKE_CASE ,		extra_include_paths=[str(_SCREAMING_SNAKE_CASE		)] ,		extra_cflags=['''-DWITH_CUDA=1'''] ,		extra_cuda_cflags=[
              '''-DCUDA_HAS_FP16=1''',
              '''-D__CUDA_NO_HALF_OPERATORS__''',
              '''-D__CUDA_NO_HALF_CONVERSIONS__''',
              '''-D__CUDA_NO_HALF2_OPERATORS__''',
          ] ,		)

      import MultiScaleDeformableAttention as MSDA

      return MSDA








from __future__ import annotations

from collections.abc import Callable


def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__ ,		UpperCamelCase__ ,		UpperCamelCase__ ,		UpperCamelCase__ = 1_0_0 ,		):
      UpperCamelCase__    :   Union[str, Any]					=				x_start
      UpperCamelCase__    :   List[Any]					=				fnc(UpperCamelCase__		)
      UpperCamelCase__    :   Any					=				0.0
      for _ in range(UpperCamelCase__		):
            # Approximates small segments of curve as linear and solve
            # for trapezoidal area
            UpperCamelCase__    :   str					=				(x_end - x_start) / steps + xa
            UpperCamelCase__    :   Dict					=				fnc(UpperCamelCase__		)
            area += abs(fxa + fxa		) * (xa - xa) / 2
            # Increment step
            UpperCamelCase__    :   Tuple					=				xa
            UpperCamelCase__    :   Union[str, Any]					=				fxa
      return area


if __name__ == "__main__":


    def 							SCREAMING_SNAKE_CASE_      (			UpperCamelCase__		):
          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:")
    lowerCamelCase      =1_0
    while i <= 1_0_0_0_0_0:
        print(F'''with {i} steps: {trapezoidal_area(f, -5, 5, i)}''')
        i *= 1_0


