[MRG] Backend implementation of the free support barycenter (#340)

* backend version barycenter

* new tests

* cleanup release file and doc

* f*ing pep8

* remove unused variable

1 files changed, 17 insertions, 0 deletions

diff --git a/test/test_ot.py b/test/test_ot.py
index 53edf4f..e8e2d97 100644
--- a/test/test_ot.py
+++ b/test/test_ot.py
@@ -302,6 +302,23 @@ def test_free_support_barycenter():
     np.testing.assert_allclose(X, bar_locations, rtol=1e-5, atol=1e-7)
 
 
+def test_free_support_barycenter_backends(nx):
+
+    measures_locations = [np.array([-1.]).reshape((1, 1)), np.array([1.]).reshape((1, 1))]
+    measures_weights = [np.array([1.]), np.array([1.])]
+    X_init = np.array([-12.]).reshape((1, 1))
+
+    X = ot.lp.free_support_barycenter(measures_locations, measures_weights, X_init)
+
+    measures_locations2 = [nx.from_numpy(x) for x in measures_locations]
+    measures_weights2 = [nx.from_numpy(x) for x in measures_weights]
+    X_init2 = nx.from_numpy(X_init)
+
+    X2 = ot.lp.free_support_barycenter(measures_locations2, measures_weights2, X_init2)
+
+    np.testing.assert_allclose(X, nx.to_numpy(X2))
+
+
 @pytest.mark.skipif(not ot.lp.cvx.cvxopt, reason="No cvxopt available")
 def test_lp_barycenter_cvxopt():
     a1 = np.array([1.0, 0, 0])[:, None]