code: def test_decompose():
      assert decompose(x) == {1: x}
      assert decompose(x**2) == {2: x**2}
      assert decompose(x * y) == {2: x * y}
      assert decompose(x + y) == {1: x + y}
      assert decompose(x**2 + y) == {1: y, 2: x**2}
      assert decompose(8 * x**2 + 4 * y + 7) == {
          0: 7,
          1: 4 * y,
          2: 8 * x**2,
      }
      assert decompose(x**2 + 3 * y * x) == {2: x**2 + 3 * x * y}
      assert decompose(
          9 * x**2 + y + 4 * x + x**3 + y**2 * x + 3
      ) == {0: 3, 1: 4 * x + y, 2: 9 * x**2, 3: x**3 + x * y**2}
  
      assert decompose(x, True) == {x}
      assert decompose(x**2, True) == {x**2}
      assert decompose(x * y, True) == {x * y}
      assert decompose(x + y, True) == {x, y}
      assert decompose(x**2 + y, True) == {y, x**2}
      assert decompose(8 * x**2 + 4 * y + 7, True) == {
          7,
          4 * y,
          8 * x**2,
      }
      assert decompose(x**2 + 3 * y * x, True) == {x**2, 3 * x * y}
      assert decompose(
          9 * x**2 + y + 4 * x + x**3 + y**2 * x + 3, True
      ) == {3, y, 4 * x, 9 * x**2, x * y**2, x**3}
  
imports: from sympy.functions.elementary.complexes import Abs
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.core import S, Rational
  from sympy.integrals.intpoly import decompose, best_origin, distance_to_side, polytope_integrate, point_sort, hyperplane_parameters, main_integrate3d, main_integrate, polygon_integrate, lineseg_integrate, integration_reduction, integration_reduction_dynamic, is_vertex
  from sympy.geometry.line import Segment2D
  from sympy.geometry.polygon import Polygon
  from sympy.geometry.point import Point, Point2D
  from sympy.abc import x, y, z
  from sympy.testing.pytest import slow
label_desc: Use image node_id 1 for calling a global function with example usage: test_decompose() without return types