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()