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greedy.py
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Created
Sun, Apr 28, 02:57
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2 KB
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text/x-python
Expires
Tue, Apr 30, 02:57 (1 d, 23 h)
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17313600
Attached To
R6746 RationalROMPy
greedy.py
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import
numpy
as
np
from
airfoil_engine
import
AirfoilScatteringEngine
from
rrompy.reduction_methods.greedy
import
RationalInterpolantGreedy
as
RI
from
rrompy.reduction_methods.greedy
import
ReducedBasisGreedy
as
RB
from
rrompy.solver.fenics
import
L2NormMatrix
from
rrompy.parameter.parameter_sampling
import
QuadratureSampler
as
QS
verb
=
5
timed
=
False
algo
=
"RI"
#algo = "RB"
polyBasis
=
"LEGENDRE"
#polyBasis = "CHEBYSHEV"
#polyBasis = "MONOMIAL"
homog
=
True
homog
=
False
k0s
=
np
.
linspace
(
5
,
10
,
100
)
k0
=
np
.
mean
(
k0s
)
kl
,
kr
=
min
(
k0s
),
max
(
k0s
)
params
=
{
'S'
:
5
,
'sampler'
:
QS
([
kl
,
kr
],
"UNIFORM"
),
'nTestPoints'
:
500
,
'greedyTol'
:
1e-2
,
'polybasis'
:
polyBasis
,
'errorEstimatorKind'
:
'INTERPOLATORY'
}
#########
kappa
=
10
theta
=
np
.
pi
*
-
45
/
180.
solver
=
AirfoilScatteringEngine
(
kappa
,
theta
,
verbosity
=
verb
,
degree_threshold
=
8
,
homogeneized
=
homog
)
#########
if
algo
==
"RI"
:
approx
=
RI
(
solver
,
mu0
=
k0
,
approxParameters
=
params
,
verbosity
=
verb
)
else
:
params
.
pop
(
"polybasis"
)
params
.
pop
(
"errorEstimatorKind"
)
approx
=
RB
(
solver
,
mu0
=
k0
,
approxParameters
=
params
,
verbosity
=
verb
)
approx
.
initEstimatorNormEngine
(
L2NormMatrix
(
solver
.
V
))
if
timed
:
from
time
import
clock
start_time
=
clock
()
approx
.
greedy
()
print
(
"Time: "
,
clock
()
-
start_time
)
else
:
approx
.
greedy
(
True
)
approx
.
samplingEngine
.
verbosity
=
0
approx
.
verbosity
=
0
kl
,
kr
=
np
.
real
(
kl
),
np
.
real
(
kr
)
from
matplotlib
import
pyplot
as
plt
normApp
=
np
.
zeros
(
len
(
k0s
))
norm
=
np
.
zeros_like
(
normApp
)
res
=
np
.
zeros_like
(
normApp
)
err
=
np
.
zeros_like
(
normApp
)
for
j
in
range
(
len
(
k0s
)):
normApp
[
j
]
=
approx
.
normApprox
(
k0s
[
j
])
norm
[
j
]
=
approx
.
normHF
(
k0s
[
j
])
res
[
j
]
=
(
approx
.
estimatorNormEngine
.
norm
(
approx
.
getRes
(
k0s
[
j
],
duality
=
False
))
/
approx
.
estimatorNormEngine
.
norm
(
approx
.
getRHS
(
k0s
[
j
],
duality
=
False
)))
err
[
j
]
=
approx
.
normErr
(
k0s
[
j
])
/
approx
.
normHF
(
k0s
[
j
])
resApp
=
approx
.
errorEstimator
(
k0s
)
plt
.
figure
()
plt
.
plot
(
k0s
,
norm
)
plt
.
plot
(
k0s
,
normApp
,
'--'
)
plt
.
plot
(
np
.
real
(
approx
.
mus
.
data
),
1.05
*
np
.
max
(
norm
)
*
np
.
ones_like
(
approx
.
mus
.
data
,
dtype
=
float
),
'rx'
)
plt
.
xlim
([
kl
,
kr
])
plt
.
grid
()
plt
.
show
()
plt
.
close
()
plt
.
figure
()
plt
.
semilogy
(
k0s
,
res
)
plt
.
semilogy
(
k0s
,
resApp
,
'--'
)
plt
.
semilogy
(
np
.
real
(
approx
.
mus
.
data
),
4.
*
np
.
max
(
resApp
)
*
np
.
ones_like
(
approx
.
mus
.
data
,
dtype
=
float
),
'rx'
)
plt
.
xlim
([
kl
,
kr
])
plt
.
grid
()
plt
.
show
()
plt
.
close
()
plt
.
figure
()
plt
.
semilogy
(
k0s
,
err
)
plt
.
xlim
([
kl
,
kr
])
plt
.
grid
()
plt
.
show
()
plt
.
close
()
polesApp
=
approx
.
getPoles
()
mask
=
(
np
.
real
(
polesApp
)
<
kl
)
|
(
np
.
real
(
polesApp
)
>
kr
)
print
(
"Outliers:"
,
polesApp
[
mask
])
polesApp
=
polesApp
[
~
mask
]
plt
.
figure
()
plt
.
plot
(
np
.
real
(
polesApp
),
np
.
imag
(
polesApp
),
'kx'
)
plt
.
axis
(
'equal'
)
plt
.
grid
()
plt
.
show
()
plt
.
close
()
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