code: def test_egyptian_fraction():
      def test_equality(r, alg="Greedy"):
          return r == Add(
              *[Rational(1, i) for i in egyptian_fraction(r, alg)]
          )
  
      r = random_complex_number(a=0, c=1, b=0, d=0, rational=True)
      assert test_equality(r)
  
      assert egyptian_fraction(Rational(4, 17)) == [
          5,
          29,
          1233,
          3039345,
      ]
      assert egyptian_fraction(Rational(7, 13), "Greedy") == [2, 26]
      assert egyptian_fraction(Rational(23, 101), "Greedy") == [
          5,
          37,
          1438,
          2985448,
          40108045937720,
      ]
      assert egyptian_fraction(Rational(18, 23), "Takenouchi") == [
          2,
          6,
          12,
          35,
          276,
          2415,
      ]
      assert egyptian_fraction(Rational(5, 6), "Graham Jewett") == [
          6,
          7,
          8,
          9,
          10,
          42,
          43,
          44,
          45,
          56,
          57,
          58,
          72,
          73,
          90,
          1806,
          1807,
          1808,
          1892,
          1893,
          1980,
          3192,
          3193,
          3306,
          5256,
          3263442,
          3263443,
          3267056,
          3581556,
          10192056,
          10650056950806,
      ]
      assert egyptian_fraction(Rational(5, 6), "Golomb") == [
          2,
          6,
          12,
          20,
          30,
      ]
      assert egyptian_fraction(Rational(5, 121), "Golomb") == [
          25,
          1225,
          3577,
          7081,
          11737,
      ]
      raises(ValueError, lambda: egyptian_fraction(Rational(-4, 9)))
      assert egyptian_fraction(Rational(8, 3), "Golomb") == [
          1,
          2,
          3,
          4,
          5,
          6,
          7,
          14,
          574,
          2788,
          6460,
          11590,
          33062,
          113820,
      ]
      assert egyptian_fraction(Rational(355, 113)) == [
          1,
          2,
          3,
          4,
          5,
          6,
          7,
          8,
          9,
          10,
          11,
          12,
          27,
          744,
          893588,
          1251493536607,
          20361068938197002344405230,
      ]
  
imports: from sympy.core.numbers import Rational
  from sympy.ntheory.egyptian_fraction import egyptian_fraction
  from sympy.core.add import Add
  from sympy.testing.pytest import raises
  from sympy.core.random import random_complex_number
label_desc: Use image node_id 1 for calling a global function with example usage: test_egyptian_fraction() and returns: unknown