def test_linear_displacement(deg): from pysisyphus.intcoords.LinearDisplacement import LinearDisplacement from pysisyphus.helpers import geom_loader zmat_str = f""" C C 1 1.5 C 1 1.5 2 {deg} """ zmat = zmat_from_str(zmat_str) geom = geom_from_zmat(zmat) coords3d = geom.coords3d indices = [1, 0, 2] ld = LinearDisplacement(indices) val, grad = ld.calculate(coords3d, gradient=True) # First derivative ref_row = np.zeros_like(coords3d) ref_row[indices] = fin_diff_prim(ld, coords3d).reshape(-1, 3) ref_row = ref_row.flatten() np.testing.assert_allclose(grad, ref_row, atol=1e-10) # Second derivative # Code generated 2nd derivative dgrad = ld.jacobian(coords3d) mp_dgrad = mp_d.d2q_ld(*coords3d[indices].flatten(), *ld.cross_vec) # Finite difference reference values ref_dgrad = fin_diff_B(ld, coords3d) np.testing.assert_allclose(dgrad, ref_dgrad, atol=1e-9) np.testing.assert_allclose(mp_dgrad, ref_dgrad, atol=1e-9)
def test_linear_bend(deg): indices = [1, 0, 2] zmat_str = f""" C C 1 1.5 C 1 1.5 2 {deg} """.strip() zmat = zmat_from_str(zmat_str) geom = geom_from_zmat(zmat) coords3d = geom.coords3d # Explicitly implemented # Gradient returned in order [0, 1, 2] val, grad = LinearBend._calculate(coords3d, indices, gradient=True) # Orthogonal direction w = LinearBend._get_orthogonal_direction(coords3d, indices) # Reference values, code generated args = coords3d[indices].flatten() ref_val = q_lb(*args, *w) # Reference gradient returned in order [1, 0, 2] _ref_grad = dq_lb(*args, *w) ref_grad = np.zeros_like(coords3d) ref_grad[indices] = _ref_grad.reshape(-1, 3) assert val == pytest.approx(ref_val) np.testing.assert_allclose(grad.flatten(), ref_grad.flatten(), atol=1e-12)
def assert_geom(ref_fn, zmat_fn, atol=2.5e-5): zmat = zmat_from_fn(zmat_fn) geom = geom_from_zmat(zmat) ref = geom_loader(ref_fn) rmsd = kabsch_rmsd(geom.coords3d, ref.coords3d, translate=True) print(f"RMSD: {rmsd:.6f}") assert rmsd == pytest.approx(0., abs=atol)
def test_torsion(dihedral): indices = [3, 2, 0, 1] zmat_str = f""" C C 1 1. C 1 1. 2 135. C 3 1. 1 135. 2 {dihedral} """.strip() zmat = zmat_from_str(zmat_str) geom = geom_from_zmat(zmat) coords3d = geom.coords3d # Explicitly implemented # Gradient returned in order [3, 2, 0, 1] val, grad = Torsion._calculate(coords3d, indices, gradient=True) sign = np.sign(val) # Reference values, code generated args = coords3d[indices].flatten() ref_val = q_d(*args) # Reference gradient returned in order [3, 2, 0, 1] _ref_grad = dq_d(*args) ref_grad = np.zeros_like(coords3d) ref_grad[indices] = _ref_grad.reshape(-1, 3) mp_ref_val = mp_d.q_d(*args) _mp_ref_grad = mp_d.dq_d(*args) mp_ref_grad = np.zeros_like(coords3d) mp_ref_grad[indices] = _mp_ref_grad.reshape(-1, 3) # Sign change is not taken into account in q_d assert val == pytest.approx(sign * ref_val, abs=1e-8), "Dihedral value" assert val == pytest.approx(sign * mp_ref_val, abs=1e-8) np.testing.assert_allclose(grad.flatten(), sign * ref_grad.flatten(), atol=1e-8, err_msg="1st derivative") np.testing.assert_allclose( grad.flatten(), sign * mp_ref_grad.flatten(), atol=1e-8, err_msg="1st derivative", ) # Code generated 2nd derivative dgrad = sign * d2q_d(*args) mp_dgrad = sign * mp_d.d2q_d(*args) # Finite difference reference values ref_dgrad = fin_diff_B(Torsion(indices), coords3d) np.testing.assert_allclose(dgrad, ref_dgrad, atol=1e-8, err_msg="2nd derivative") np.testing.assert_allclose(mp_dgrad, ref_dgrad, atol=1e-8, err_msg="2nd derivative")
def test_geom_from_zmat(this_dir): zmat = [ ZLine("C"), ZLine("C", 0, 1.510486 * AB), ZLine("N", 0, 1.459785 * AB, 1, 112.257683), ZLine("O", 1, 1.220389 * AB, 0, 118.653885, 2, -179.541229), ZLine("O", 1, 1.353023 * AB, 0, 122.591621, 2, 0.825231), ] geom = geom_from_zmat(zmat) reference = geom_loader(this_dir / "glycine_noh.xyz") rmsd = kabsch_rmsd(geom.coords3d, reference.coords3d, translate=True) assert rmsd == pytest.approx(0., abs=1e-6)
def test_bend(deg): indices = [1, 0, 2] zmat_str = f""" C C 1 1.5 C 1 1.5 2 {deg} """.strip() zmat = zmat_from_str(zmat_str) geom = geom_from_zmat(zmat) coords3d = geom.coords3d # Explicitly implemented # Gradient returned in order [0, 1, 2] val, grad = Bend._calculate(coords3d, indices, gradient=True) # Reference values, code generated args = coords3d[indices].flatten() ref_val = q_a(*args) # Reference gradient returned in order [1, 0, 2] _ref_grad = dq_a(*args) ref_grad = np.zeros_like(coords3d) ref_grad[indices] = _ref_grad.reshape(-1, 3) mp_ref_val = mp_d.q_a(*args) _mp_ref_grad = mp_d.dq_a(*args) mp_ref_grad = np.zeros_like(coords3d) mp_ref_grad[indices] = _mp_ref_grad.reshape(-1, 3) assert val == pytest.approx(ref_val) assert val == pytest.approx(mp_ref_val) np.testing.assert_allclose(grad.flatten(), ref_grad.flatten(), atol=1e-12) np.testing.assert_allclose(grad.flatten(), mp_ref_grad.flatten(), atol=1e-12) # Code generated 2nd derivative dgrad = d2q_a(*args) mp_dgrad = mp_d.d2q_a(*args) # Finite difference reference values ref_dgrad = fin_diff_B(Bend(indices), coords3d) np.testing.assert_allclose(dgrad, ref_dgrad, atol=1e-9) np.testing.assert_allclose(mp_dgrad, ref_dgrad, atol=1e-9)