code: def test_in_terms_of_generators():
      R = QQ.old_poly_ring(x, order="ilex")
      M = R.free_module(2).submodule([2 * x, 0], [1, 2])
      assert M.in_terms_of_generators([x, x]) == [
          R.convert(Rational(1, 4)),
          R.convert(x / 2),
      ]
      raises(ValueError, lambda: M.in_terms_of_generators([1, 0]))
  
      M = R.free_module(2) / ([x, 0], [1, 1])
      SM = M.submodule([1, x])
      assert SM.in_terms_of_generators([2, 0]) == [
          R.convert(-2 / (x - 1))
      ]
  
      R = QQ.old_poly_ring(x, y) / [x**2 - y**2]
      M = R.free_module(2)
      SM = M.submodule([x, 0], [0, y])
      assert SM.in_terms_of_generators([x**2, x**2]) == [
          R.convert(x),
          R.convert(y),
      ]
  
imports: from sympy.polys.agca.modules import FreeModule, ModuleOrder, FreeModulePolyRing
  from sympy.polys import CoercionFailed, QQ, lex, grlex, ilex, ZZ
  from sympy.abc import x, y, z
  from sympy.testing.pytest import raises
  from sympy.core.numbers import Rational
label_desc: Use image node_id 9 for calling a global function with example usage: test_in_terms_of_generators() without return types