code: def test_point():
      x, y = symbols("x, y")
      p = R2_r.point([x, y])
      assert p.free_symbols == {x, y}
      assert p.coords(R2_r) == p.coords() == Matrix([x, y])
      assert p.coords(R2_p) == Matrix(
          [sqrt(x**2 + y**2), atan2(y, x)]
      )
  
imports: from sympy.core import Lambda, Symbol, symbols
  from sympy.diffgeom.rn import R2, R2_p, R2_r, R3_r, R3_c, R3_s, R2_origin
  from sympy.diffgeom import Manifold, Patch, CoordSystem, Commutator, Differential, TensorProduct, WedgeProduct, BaseCovarDerivativeOp, CovarDerivativeOp, LieDerivative, covariant_order, contravariant_order, twoform_to_matrix, metric_to_Christoffel_1st, metric_to_Christoffel_2nd, metric_to_Riemann_components, metric_to_Ricci_components, intcurve_diffequ, intcurve_series
  from sympy.simplify import trigsimp, simplify
  from sympy.functions import sqrt, atan2, sin
  from sympy.matrices import Matrix
  from sympy.testing.pytest import raises, nocache_fail
  from sympy.testing.pytest import warns_deprecated_sympy
label_desc: Use image node_id 5 for calling a global function with example usage: test_point() without return types