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Add test that matches TTB for MATLAB output of HOSVD #79

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Mar 19, 2023
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Add test that matches TTB for MATLAB output of HOSVD #79

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54 changes: 54 additions & 0 deletions tests/test_hosvd.py
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Original file line number Diff line number Diff line change
Expand Up @@ -13,6 +13,15 @@ def sample_tensor():
return params, tensorInstance


@pytest.fixture()
def sample_tensor_3way():
shape = (3, 3, 3)
data = np.array(range(1, 28)).reshape(shape, order="F")
params = {"data": data, "shape": shape}
tensorInstance = ttb.tensor().from_data(data, shape)
return params, tensorInstance


@pytest.mark.indevelopment
def test_hosvd_simple_convergence(capsys, sample_tensor):
(data, T) = sample_tensor
Expand Down Expand Up @@ -65,3 +74,48 @@ def test_hosvd_incorrect_dimorder(capsys, sample_tensor):
dimorder = 1
with pytest.raises(ValueError):
_ = ttb.hosvd(T, 1, dimorder=dimorder)


@pytest.mark.indevelopment
def test_hosvd_3way(capsys, sample_tensor_3way):
(data, T) = sample_tensor_3way
M = ttb.hosvd(T, 1e-4, verbosity=0)
capsys.readouterr()
print(f"M=\n{M}")
core = np.array(
[
[
[-8.301598119750199e01, -5.005881796972034e-03],
[-1.268039597172832e-02, 5.842630378620833e00],
],
[
[3.709974006281391e-02, -1.915213813096568e00],
[-5.157111619887230e-01, 5.243776123493664e-01],
],
]
)
fm0 = np.array(
[
[-5.452132631706279e-01, -7.321719955012304e-01],
[-5.767748638548937e-01, -2.576993904719336e-02],
[-6.083364645391598e-01, 6.806321174064961e-01],
]
)
fm1 = np.array(
[
[-4.756392343758577e-01, 7.791666394653051e-01],
[-5.719678320081717e-01, 7.865197061237804e-02],
[-6.682964296404851e-01, -6.218626982406427e-01],
]
)
fm2 = np.array(
[
[-1.922305666539489e-01, 8.924016710972924e-01],
[-5.140779746206554e-01, 2.627873081852611e-01],
[-8.359253825873615e-01, -3.668270547267537e-01],
]
)
assert np.allclose(M.core.data, core)
assert np.allclose(M.u[0], fm0)
assert np.allclose(M.u[1], fm1)
assert np.allclose(M.u[2], fm2)