Source code for sfepy.tests.test_linalg

import sfepy.base.testing as tst

[docs] def test_tensors(): import numpy as nm from sfepy.linalg import dot_sequences, insert_strided_axis ok = True a = nm.arange(1, 10).reshape(3, 3) b = nm.arange(9, 0, -1).reshape(3, 3) dab = nm.dot(a, b) dabt = nm.dot(a, b.T) datb = nm.dot(a.T, b) datbt = nm.dot(a.T, b.T) sa = insert_strided_axis(a, 0, 10) sb = insert_strided_axis(b, 0, 10) dsab = dot_sequences(sa, sb, mode='AB') _ok = nm.allclose(dab[None, ...], dsab, rtol=0.0, atol=1e-14) tst.report('dot_sequences AB: %s' % _ok) ok = ok and _ok dsabt = dot_sequences(sa, sb, mode='ABT') _ok = nm.allclose(dabt[None, ...], dsabt, rtol=0.0, atol=1e-14) tst.report('dot_sequences ABT: %s' % _ok) ok = ok and _ok dsatb = dot_sequences(sa, sb, mode='ATB') _ok = nm.allclose(datb[None, ...], dsatb, rtol=0.0, atol=1e-14) tst.report('dot_sequences ATB: %s' % _ok) ok = ok and _ok dsatbt = dot_sequences(sa, sb, mode='ATBT') _ok = nm.allclose(datbt[None, ...], dsatbt, rtol=0.0, atol=1e-14) tst.report('dot_sequences ATBT: %s' % _ok) ok = ok and _ok assert ok
[docs] def test_unique_rows(): import numpy as nm from sfepy.linalg import unique_rows a = nm.arange(1, 10).reshape(3, 3) b = nm.r_[a, a] c = unique_rows(b) ok = (a == c).all() assert ok
[docs] def test_assemble1d(): import numpy as nm from sfepy.linalg import assemble1d a = nm.arange(5) b = nm.arange(2) assemble1d(b, [1, 1, 1, 1, 0, 0], a[[0, 2, 3, 4, 1, 1]]) ok = (b == [2, 10]).all() assert ok
[docs] def test_geometry(): import numpy as nm from sfepy.linalg import get_face_areas a1 = get_face_areas([[0, 1, 2, 3]], [[0, 0], [1, 0], [1, 1], [0, 1]]) a2 = get_face_areas([[0, 1, 2, 3]], [[0, 0, 2], [1, 0, 2], [1, 1, 2], [0, 1, 2]]) ok = nm.allclose([a1, a2], [1, 1], rtol=0, atol=1e-15) assert ok
[docs] def test_get_blocks_stats(): import numpy as nm from sfepy.linalg.utils import get_blocks_stats A = nm.eye(3) B = nm.full((3,2), 2) C = nm.full((1,3), 3) D = nm.full((1,2), 4) sr = [slice(0, 3), slice(3, 5)] sc = [slice(0, 3), slice(3, 4)] M = nm.block([[A, B], [C, D]]) stats = get_blocks_stats(M, sr, sc) assert stats['shape'].tolist() == [[(3, 3), (3, 1)], [(1, 3), (1, 1)]] assert (stats['min'] == nm.array([[0., 2.], [3., 4.]])).all() assert (stats['max'] == nm.array([[1., 2.], [3., 4.]])).all()