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rational_pade.py
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Sun, Sep 1, 23:34
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text/x-python
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Tue, Sep 3, 23:34 (2 d)
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R6746 RationalROMPy
rational_pade.py
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# Copyright (C) 2018 by the RROMPy authors
#
# This file is part of RROMPy.
#
# RROMPy is free software: you can redistribute it and/or modify
# it under the terms of the GNU Lesser General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# RROMPy is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU Lesser General Public License for more details.
#
# You should have received a copy of the GNU Lesser General Public License
# along with RROMPy. If not, see <http://www.gnu.org/licenses/>.
#
import
os
import
numpy
as
np
from
matrix_fft
import
matrixFFT
from
rrompy.reduction_methods.centered
import
RationalPade
as
RP
def
test_rho
(
capsys
):
mu
=
1.5
mu0
=
2.
+
1.j
solver
=
matrixFFT
()
uh
=
solver
.
solve
(
mu
)
params
=
{
"POD"
:
False
,
"rho"
:
3.
,
"M"
:
4
,
"N"
:
5
,
"E"
:
10
,
"robustTol"
:
1e-6
}
approx
=
RP
(
solver
,
mu0
,
params
,
verbosity
=
0
)
approx
.
setupApprox
()
out
,
err
=
capsys
.
readouterr
()
assert
(
"Smallest 2 eigenvalues below tolerance. Reducing N from 5 to 4 "
"and E from 10 to 9."
)
in
out
assert
len
(
err
)
==
0
if
not
os
.
path
.
isdir
(
"./.pytest_cache"
):
os
.
mkdir
(
"./.pytest_cache"
)
filesOut
=
[
x
for
x
in
os
.
listdir
(
"./.pytest_cache"
)
if
(
x
[
-
4
:]
==
".pkl"
and
x
[:
6
]
==
"outRho"
)]
for
fileOut
in
filesOut
:
os
.
remove
(
"./.pytest_cache/"
+
fileOut
)
fileStored
=
approx
.
storeTrainedModel
(
".pytest_cache/outRho"
)
filesOut
=
[
x
for
x
in
os
.
listdir
(
"./.pytest_cache"
)
if
(
x
[
-
4
:]
==
".pkl"
and
x
[:
6
]
==
"outRho"
)]
assert
len
(
filesOut
)
==
1
assert
filesOut
[
0
]
==
fileStored
[
-
len
(
filesOut
[
0
])
:]
uhP1
=
approx
.
getApprox
(
mu
)
errP
=
approx
.
getErr
(
mu
)
errNP
=
approx
.
normErr
(
mu
)
myerrP
=
uhP1
-
uh
assert
np
.
allclose
(
np
.
abs
(
errP
-
myerrP
),
0.
,
rtol
=
1e-3
)
assert
np
.
isclose
(
solver
.
norm
(
errP
),
errNP
,
rtol
=
1e-3
)
resP
=
approx
.
getRes
(
mu
)
resNP
=
approx
.
normRes
(
mu
)
assert
np
.
isclose
(
solver
.
norm
(
resP
),
resNP
,
rtol
=
1e-3
)
assert
np
.
allclose
(
np
.
abs
(
resP
-
(
solver
.
b
(
mu
)
-
solver
.
A
(
mu
)
.
dot
(
uhP1
))),
0.
,
rtol
=
1e-3
)
del
approx
approx
=
RP
(
solver
,
mu0
,
{
"E"
:
3
},
verbosity
=
0
)
approx
.
loadTrainedModel
(
fileStored
)
for
fileOut
in
filesOut
:
os
.
remove
(
"./.pytest_cache/"
+
fileOut
)
uhP2
=
approx
.
getApprox
(
mu
)
assert
np
.
allclose
(
np
.
abs
(
uhP1
-
uhP2
),
0.
,
rtol
=
1e-3
)
def
test_E_warn
(
capsys
):
mu
=
1.5
mu0
=
2.
+
1.j
solver
=
matrixFFT
()
uh
=
solver
.
solve
(
mu
)
params
=
{
"POD"
:
True
,
"rho"
:
3.
,
"M"
:
4
,
"N"
:
5
,
"E"
:
2
}
approx
=
RP
(
solver
,
mu0
,
params
,
verbosity
=
0
)
approx
.
setupApprox
()
out
,
err
=
capsys
.
readouterr
()
assert
"Prescribed E is too small. Updating E to M + N."
in
out
assert
len
(
err
)
==
0
uhP
=
approx
.
getApprox
(
mu
)
errP
=
approx
.
getErr
(
mu
)
errNP
=
approx
.
normErr
(
mu
)
assert
np
.
allclose
(
np
.
abs
(
errP
-
(
uhP
-
uh
)),
0.
,
rtol
=
1e-3
)
assert
np
.
isclose
(
errNP
,
0.1372966
,
rtol
=
1e-1
)
poles
,
ress
=
approx
.
getResidues
()
condres
=
np
.
linalg
.
cond
(
solver
.
innerProduct
(
ress
,
ress
))
assert
np
.
isclose
(
condres
,
36.63625
,
rtol
=
1e-3
)
assert
np
.
isclose
(
np
.
min
(
np
.
abs
(
poles
-
2.
)),
0.
,
atol
=
1e-5
)
assert
np
.
isclose
(
np
.
min
(
np
.
abs
(
poles
-
1.
)),
0.
,
atol
=
1e-3
)
assert
np
.
isclose
(
np
.
min
(
np
.
abs
(
poles
-
3.
)),
0.
,
atol
=
1e-3
)
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