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"""Tests for main module ot.weak """
# Author: Remi Flamary <remi.flamary@unice.fr>
#
# License: MIT License
import ot
import numpy as np
def test_weak_ot():
# test weak ot solver and identity stationary point
n = 50
rng = np.random.RandomState(0)
xs = rng.randn(n, 2)
xt = rng.randn(n, 2)
u = ot.utils.unif(n)
G, log = ot.weak_optimal_transport(xs, xt, u, u, log=True)
# check constraints
np.testing.assert_allclose(u, G.sum(1))
np.testing.assert_allclose(u, G.sum(0))
# chaeck that identity is recovered
G = ot.weak_optimal_transport(xs, xs, G0=np.eye(n) / n)
# check G is identity
np.testing.assert_allclose(G, np.eye(n) / n)
# check constraints
np.testing.assert_allclose(u, G.sum(1))
np.testing.assert_allclose(u, G.sum(0))
def test_weak_ot_bakends(nx):
# test weak ot solver for different backends
n = 50
rng = np.random.RandomState(0)
xs = rng.randn(n, 2)
xt = rng.randn(n, 2)
u = ot.utils.unif(n)
G = ot.weak_optimal_transport(xs, xt, u, u)
xs2, xt2, u2 = nx.from_numpy(xs, xt, u)
G2 = ot.weak_optimal_transport(xs2, xt2, u2, u2)
np.testing.assert_allclose(nx.to_numpy(G2), G)
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