def test_srv_transform_and_srv_transform_inverse(self, rtol, atol):
"""Test that srv and its inverse are inverse."""
metric = SRVMetric(ambient_manifold=r3)
curve = DiscreteCurves(r3).random_point(n_samples=2)
srv = metric.srv_transform(curve)
srv_inverse = metric.srv_transform_inverse(srv, curve[:, 0])
result = srv.shape
expected = (curve.shape[0], curve.shape[1] - 1, 3)
self.assertAllClose(result, expected)
result = srv_inverse
expected = curve
self.assertAllClose(result, expected, rtol, atol)
def test_srv_transform_and_inverse(self, times, curve_a, curve_b):
"""Test of SRVT and its inverse.
N.B: Here curves_ab are seen as curves in R3 and not S2.
"""
l2_metric_s2 = L2CurvesMetric(ambient_manifold=s2)
srv_metric_r3 = SRVMetric(ambient_manifold=r3)
curves_ab = l2_metric_s2.geodesic(curve_a, curve_b)
curves_ab = curves_ab(times)
curves = curves_ab
srv_curves = srv_metric_r3.srv_transform(curves)
starting_points = curves[:, 0, :]
result = srv_metric_r3.srv_transform_inverse(srv_curves, starting_points)
expected = curves
self.assertAllClose(result, expected)