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rational_pade_2d.py
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Sat, Jul 20, 09:59
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text/x-python
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R6746 RationalROMPy
rational_pade_2d.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
numpy
as
np
from
matrix_random
import
matrixRandom
from
rrompy.reduction_methods.centered
import
RationalPade
as
RP
def
test_rho
():
mu
=
[
5.5
,
7.5
]
mu0
=
[
5.
,
7.
]
solver
=
matrixRandom
()
uh
=
solver
.
solve
(
mu
)[
0
]
params
=
{
"POD"
:
False
,
"M"
:
3
,
"N"
:
3
,
"S"
:
10
,
"robustTol"
:
1e-6
}
approx
=
RP
(
solver
,
mu0
,
params
,
verbosity
=
0
)
approx
.
setupApprox
()
uhP1
=
approx
.
getApprox
(
mu
)[
0
]
errP
=
approx
.
getErr
(
mu
)[
0
]
errNP
=
approx
.
normErr
(
mu
)[
0
]
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
)[
0
]
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
)
def
test_E_warn
(
capsys
):
mu
=
[
5.5
,
7.5
]
mu0
=
[
5.
,
7.
]
solver
=
matrixRandom
()
uh
=
solver
.
solve
(
mu
)[
0
]
params
=
{
"POD"
:
True
,
"M"
:
3
,
"N"
:
4
,
"S"
:
10
}
approx
=
RP
(
solver
,
mu0
,
params
,
verbosity
=
0
)
approx
.
setupApprox
()
out
,
err
=
capsys
.
readouterr
()
assert
"Prescribed E is too small. Decreasing M"
not
in
out
assert
"Prescribed E is too small. Decreasing N"
in
out
assert
len
(
err
)
==
0
uhP
=
approx
.
getApprox
(
mu
)[
0
]
uhNP
=
approx
.
normApprox
(
mu
)[
0
]
errP
=
approx
.
getErr
(
mu
)[
0
]
errNP
=
approx
.
normErr
(
mu
)[
0
]
assert
np
.
allclose
(
np
.
abs
(
errP
-
(
uhP
-
uh
)),
0.
,
rtol
=
1e-3
)
assert
np
.
isclose
(
errNP
/
uhNP
,
1.41336e-2
,
rtol
=
1e-1
)
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