code: def test_covering_product():
      assert covering_product([], []) == []
      assert covering_product([], [Rational(1, 3)]) == []
      assert covering_product([6 + I * 3 / 7], [Rational(2, 3)]) == [
          4 + I * 2 / 7
      ]
  
      a = [1, Rational(5, 8), sqrt(7), 4 + 9 * I]
      b = [66, 81, 95, 49, 37, 89, 17]
      c = [3 + I * 2 / 3, 51 + 72 * I, 7, Rational(7, 15), 91]
  
      assert covering_product(a, b) == [
          66,
          Rational(1383, 8),
          95 + 161 * sqrt(7),
          130 * sqrt(7) + 1303 + 2619 * I,
          37,
          Rational(671, 4),
          17 + 54 * sqrt(7),
          89 * sqrt(7) + Rational(4661, 8) + 1287 * I,
      ]
  
      assert covering_product(b, c) == [
          198 + 44 * I,
          7740 + 10638 * I,
          1412 + I * 190 / 3,
          Rational(42684, 5) + I * 31202 / 3,
          9484 + I * 74 / 3,
          22163 + I * 27394 / 3,
          10621 + I * 34 / 3,
          Rational(90236, 15) + 1224 * I,
      ]
  
      assert covering_product(a, c) == covering_product(c, a)
      assert covering_product(b, c[:-1]) == [
          198 + 44 * I,
          7740 + 10638 * I,
          1412 + I * 190 / 3,
          Rational(42684, 5) + I * 31202 / 3,
          111 + I * 74 / 3,
          6693 + I * 27394 / 3,
          429 + I * 34 / 3,
          Rational(23351, 15) + 1224 * I,
      ]
  
      assert covering_product(a, c[:-1]) == [
          3 + I * 2 / 3,
          Rational(339, 4) + I * 1409 / 12,
          7 + 10 * sqrt(7) + 2 * sqrt(7) * I / 3,
          -403 + 772 * sqrt(7) / 15 + 72 * sqrt(7) * I + I * 12658 / 15,
      ]
  
      u, v, w, x, y, z = symbols("u v w x y z")
  
      assert covering_product([u, v, w], [x, y]) == [
          u * x,
          u * y + v * x + v * y,
          w * x,
          w * y,
      ]
  
      assert covering_product([u, v, w, x], [y, z]) == [
          u * y,
          u * z + v * y + v * z,
          w * y,
          w * z + x * y + x * z,
      ]
  
      assert covering_product([u, v], [x, y, z]) == covering_product(
          [x, y, z], [u, v]
      )
  
      raises(TypeError, lambda: covering_product(x, z))
      raises(TypeError, lambda: covering_product(Rational(7, 3), u))
  
file_path: sympy/sympy/discrete/tests/test_convolutions.py
imports: from sympy.core.numbers import E, Rational, pi
  from sympy.functions.elementary.exponential import exp
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.core import S, symbols, I
  from sympy.discrete.convolutions import convolution, convolution_fft, convolution_ntt, convolution_fwht, convolution_subset, covering_product, intersecting_product, convolution_int
  from sympy.testing.pytest import raises
  from sympy.abc import x, y
label_desc: Use image node_id 7 for calling a global function with example usage: test_covering_product() without return types