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rational_interpolant_pivoted_greedy.py
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R6746 RationalROMPy
rational_interpolant_pivoted_greedy.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/>.
#
from
copy
import
deepcopy
as
copy
from
numpy
import
empty
from
.generic_pivoted_greedy_approximant
import
(
GenericPivotedGreedyApproximantBase
,
GenericPivotedGreedyApproximantNoMatch
,
GenericPivotedGreedyApproximant
)
from
rrompy.reduction_methods.standard
import
RationalInterpolant
from
rrompy.reduction_methods.pivoted
import
(
RationalInterpolantPivotedNoMatch
,
RationalInterpolantPivoted
)
from
rrompy.utilities.base.types
import
paramList
from
rrompy.utilities.base
import
verbosityManager
as
vbMng
from
rrompy.utilities.exception_manager
import
RROMPyAssert
from
rrompy.parameter
import
checkParameterList
,
emptyParameterList
from
rrompy.utilities.parallel
import
poolRank
,
recv
__all__
=
[
'RationalInterpolantPivotedGreedyNoMatch'
,
'RationalInterpolantPivotedGreedy'
]
class
RationalInterpolantPivotedGreedyBase
(
GenericPivotedGreedyApproximantBase
):
def
computeSnapshots
(
self
):
"""Compute snapshots of solution map."""
RROMPyAssert
(
self
.
_mode
,
message
=
"Cannot start snapshot computation."
)
vbMng
(
self
,
"INIT"
,
"Starting computation of snapshots."
,
5
)
self
.
samplingEngine
.
scaleFactor
=
self
.
scaleFactorDer
if
not
hasattr
(
self
,
"musPivot"
)
or
len
(
self
.
musPivot
)
!=
self
.
S
:
self
.
musPivot
=
self
.
samplerPivot
.
generatePoints
(
self
.
S
)
while
len
(
self
.
musPivot
)
>
self
.
S
:
self
.
musPivot
.
pop
()
musLoc
=
emptyParameterList
()
musLoc
.
reset
((
self
.
S
,
self
.
HFEngine
.
npar
))
self
.
samplingEngine
.
resetHistory
()
for
k
in
range
(
self
.
S
):
musLoc
.
data
[
k
,
self
.
directionPivot
]
=
self
.
musPivot
[
k
]
.
data
musLoc
.
data
[
k
,
self
.
directionMarginal
]
=
self
.
muMargLoc
self
.
samplingEngine
.
iterSample
(
musLoc
)
vbMng
(
self
,
"DEL"
,
"Done computing snapshots."
,
5
)
self
.
_m_selfmus
=
copy
(
musLoc
)
self
.
_mus
=
self
.
musPivot
self
.
_m_mu0
=
copy
(
self
.
mu0
)
self
.
_m_HFEparameterMap
=
copy
(
self
.
HFEngine
.
parameterMap
)
self
.
_mu0
=
checkParameterList
(
self
.
mu0
(
self
.
directionPivot
),
1
)[
0
]
self
.
HFEngine
.
parameterMap
=
{
"F"
:
[
self
.
HFEngine
.
parameterMap
[
"F"
][
self
.
directionPivot
[
0
]]],
"B"
:
[
self
.
HFEngine
.
parameterMap
[
"B"
][
self
.
directionPivot
[
0
]]]}
def
setupApproxPivoted
(
self
,
mus
:
paramList
)
->
int
:
if
self
.
checkComputedApproxPivoted
():
return
-
1
RROMPyAssert
(
self
.
_mode
,
message
=
"Cannot setup approximant."
)
vbMng
(
self
,
"INIT"
,
"Setting up pivoted approximant."
,
10
)
idx
,
sizes
,
emptyCores
=
self
.
_preSetupApproxPivoted
(
mus
)
pMat
,
Ps
,
Qs
,
req
,
musA
=
None
,
[],
[],
[],
None
if
len
(
idx
)
==
0
:
vbMng
(
self
,
"MAIN"
,
"Idling."
,
45
)
if
self
.
storeAllSamples
:
self
.
storeSamples
()
pL
,
pT
,
mT
=
recv
(
source
=
0
,
tag
=
poolRank
())
pMat
=
empty
((
pL
,
0
),
dtype
=
pT
)
musA
=
empty
((
0
,
self
.
mu0
.
shape
[
1
]),
dtype
=
mT
)
else
:
for
i
in
idx
:
self
.
muMargLoc
=
mus
[
i
]
vbMng
(
self
,
"MAIN"
,
"Building marginal model no. {} at "
"{}."
.
format
(
i
+
1
,
self
.
muMargLoc
),
25
)
self
.
samplingEngine
.
resetHistory
()
self
.
trainedModel
=
None
self
.
verbosity
-=
5
self
.
samplingEngine
.
verbosity
-=
5
RationalInterpolant
.
setupApprox
(
self
)
self
.
verbosity
+=
5
self
.
samplingEngine
.
verbosity
+=
5
self
.
_mu0
=
self
.
_m_mu0
self
.
_mus
=
self
.
_m_selfmus
self
.
HFEngine
.
parameterMap
=
self
.
_m_HFEparameterMap
del
self
.
_m_mu0
,
self
.
_m_selfmus
,
self
.
_m_HFEparameterMap
if
self
.
storeAllSamples
:
self
.
storeSamples
(
i
+
self
.
_nmusOld
)
pMat
,
req
,
musA
=
self
.
_localPivotedResult
(
pMat
,
req
,
emptyCores
,
musA
)
Ps
+=
[
copy
(
self
.
trainedModel
.
data
.
P
)]
Qs
+=
[
copy
(
self
.
trainedModel
.
data
.
Q
)]
del
self
.
muMargLoc
for
r
in
req
:
r
.
wait
()
self
.
_postSetupApproxPivoted
(
musA
,
pMat
,
Ps
,
Qs
,
sizes
)
vbMng
(
self
,
"DEL"
,
"Done setting up pivoted approximant."
,
10
)
return
0
class
RationalInterpolantPivotedGreedyNoMatch
(
RationalInterpolantPivotedGreedyBase
,
GenericPivotedGreedyApproximantNoMatch
,
RationalInterpolantPivotedNoMatch
):
"""
ROM pivoted greedy rational interpolant computation for parametric
problems (without pole matching).
Args:
HFEngine: HF problem solver.
mu0(optional): Default parameter. Defaults to 0.
directionPivot(optional): Pivot components. Defaults to [0].
approxParameters(optional): Dictionary containing values for main
parameters of approximant. Recognized keys are:
- 'POD': whether to compute POD of snapshots; defaults to True;
- 'scaleFactorDer': scaling factors for derivative computation;
defaults to 'AUTO';
- 'cutOffTolerance': tolerance for ignoring parasitic poles;
defaults to np.inf;
- 'matchingWeightError': weight for pole matching optimization in
error estimation; defaults to 0;
- 'cutOffToleranceError': tolerance for ignoring parasitic poles
in error estimation; defaults to 'AUTO', i.e. cutOffTolerance;
- 'S': total number of pivot samples current approximant relies
upon;
- 'samplerPivot': pivot sample point generator;
- 'SMarginal': number of starting marginal samples;
- 'samplerMarginal': marginal sample point generator via sparse
grid;
- 'errorEstimatorKindMarginal': kind of marginal error estimator;
available values include 'LEAVE_ONE_OUT', 'LOOK_AHEAD', and
'LOOK_AHEAD_RECOVER'; defaults to 'LEAVE_ONE_OUT';
- 'polybasis': type of polynomial basis for pivot interpolation;
defaults to 'MONOMIAL';
- 'M': degree of rational interpolant numerator; defaults to
'AUTO', i.e. maximum allowed;
- 'N': degree of rational interpolant denominator; defaults to
'AUTO', i.e. maximum allowed;
- 'greedyTolMarginal': uniform error tolerance for marginal greedy
algorithm; defaults to 1e-1;
- 'maxIterMarginal': maximum number of marginal greedy steps;
defaults to 1e2;
- 'radialDirectionalWeights': radial basis weights for pivot
numerator; defaults to 1;
- 'radialDirectionalWeightsMarginal': radial basis weights for
marginal interpolant; defaults to 1;
- 'interpRcond': tolerance for pivot interpolation; defaults to
None;
- 'robustTol': tolerance for robust rational denominator
management; defaults to 0;
- 'correctorForce': whether corrector should forcefully delete bad
poles; defaults to False;
- 'correctorTol': tolerance for corrector step; defaults to 0.,
i.e. no bad poles;
- 'correctorMaxIter': maximum number of corrector iterations;
defaults to 1.
Defaults to empty dict.
approx_state(optional): Whether to approximate state. Defaults to
False.
verbosity(optional): Verbosity level. Defaults to 10.
Attributes:
HFEngine: HF problem solver.
mu0: Default parameter.
directionPivot: Pivot components.
mus: Array of snapshot parameters.
musPivot: Array of pivot snapshot parameters.
musMarginal: Array of marginal snapshot parameters.
approxParameters: Dictionary containing values for main parameters of
approximant. Recognized keys are in parameterList.
parameterListSoft: Recognized keys of soft approximant parameters:
- 'POD': whether to compute POD of snapshots;
- 'scaleFactorDer': scaling factors for derivative computation;
- 'cutOffTolerance': tolerance for ignoring parasitic poles;
- 'matchingWeightError': weight for pole matching optimization in
error estimation;
- 'cutOffToleranceError': tolerance for ignoring parasitic poles
in error estimation;
- 'errorEstimatorKindMarginal': kind of marginal error estimator;
- 'polybasis': type of polynomial basis for pivot interpolation;
- 'M': degree of rational interpolant numerator;
- 'N': degree of rational interpolant denominator;
- 'greedyTolMarginal': uniform error tolerance for marginal greedy
algorithm;
- 'maxIterMarginal': maximum number of marginal greedy steps;
- 'radialDirectionalWeights': radial basis weights for pivot
numerator;
- 'radialDirectionalWeightsMarginal': radial basis weights for
marginal interpolant;
- 'interpRcond': tolerance for pivot interpolation;
- 'robustTol': tolerance for robust rational denominator
management;
- 'correctorForce': whether corrector should forcefully delete bad
poles;
- 'correctorTol': tolerance for corrector step;
- 'correctorMaxIter': maximum number of corrector iterations.
parameterListCritical: Recognized keys of critical approximant
parameters:
- 'S': total number of pivot samples current approximant relies
upon;
- 'samplerPivot': pivot sample point generator;
- 'SMarginal': total number of marginal samples current approximant
relies upon;
- 'samplerMarginal': marginal sample point generator via sparse
grid.
approx_state: Whether to approximate state.
verbosity: Verbosity level.
POD: Whether to compute POD of snapshots.
scaleFactorDer: Scaling factors for derivative computation.
cutOffTolerance: Tolerance for ignoring parasitic poles.
matchingWeightError: Weight for pole matching optimization in error
estimation.
cutOffToleranceError: Tolerance for ignoring parasitic poles in error
estimation.
S: Total number of pivot samples current approximant relies upon.
samplerPivot: Pivot sample point generator.
SMarginal: Total number of marginal samples current approximant relies
upon.
samplerMarginal: Marginal sample point generator via sparse grid.
errorEstimatorKindMarginal: Kind of marginal error estimator.
polybasis: Type of polynomial basis for pivot interpolation.
M: Degree of rational interpolant numerator.
N: Degree of rational interpolant denominator.
greedyTolMarginal: Uniform error tolerance for marginal greedy
algorithm.
maxIterMarginal: Maximum number of marginal greedy steps.
radialDirectionalWeights: Radial basis weights for pivot numerator.
radialDirectionalWeightsMarginal: Radial basis weights for marginal
interpolant.
interpRcond: Tolerance for pivot interpolation.
robustTol: Tolerance for robust rational denominator management.
correctorForce: Whether corrector should forcefully delete bad poles.
correctorTol: Tolerance for corrector step.
correctorMaxIter: Maximum number of corrector iterations.
muBounds: list of bounds for pivot parameter values.
muBoundsMarginal: list of bounds for marginal parameter values.
samplingEngine: Sampling engine.
uHF: High fidelity solution(s) with parameter(s) lastSolvedHF as
sampleList.
lastSolvedHF: Parameter(s) corresponding to last computed high fidelity
solution(s) as parameterList.
uApproxReduced: Reduced approximate solution(s) with parameter(s)
lastSolvedApprox as sampleList.
lastSolvedApproxReduced: Parameter(s) corresponding to last computed
reduced approximate solution(s) as parameterList.
uApprox: Approximate solution(s) with parameter(s) lastSolvedApprox as
sampleList.
lastSolvedApprox: Parameter(s) corresponding to last computed
approximate solution(s) as parameterList.
"""
class
RationalInterpolantPivotedGreedy
(
RationalInterpolantPivotedGreedyBase
,
GenericPivotedGreedyApproximant
,
RationalInterpolantPivoted
):
"""
ROM pivoted greedy rational interpolant computation for parametric
problems (with pole matching).
Args:
HFEngine: HF problem solver.
mu0(optional): Default parameter. Defaults to 0.
directionPivot(optional): Pivot components. Defaults to [0].
approxParameters(optional): Dictionary containing values for main
parameters of approximant. Recognized keys are:
- 'POD': whether to compute POD of snapshots; defaults to True;
- 'scaleFactorDer': scaling factors for derivative computation;
defaults to 'AUTO';
- 'matchingWeight': weight for pole matching optimization; defaults
to 1;
- 'matchingMode': mode for pole matching optimization; allowed
values include 'NONE' and 'SHIFT'; defaults to 'NONE';
- 'cutOffTolerance': tolerance for ignoring parasitic poles;
defaults to np.inf;
- 'cutOffSharedRatio': required ratio of marginal points to share
resonance in cut off strategy; defaults to 1.;
- 'matchingWeightError': weight for pole matching optimization in
error estimation; defaults to 0;
- 'cutOffToleranceError': tolerance for ignoring parasitic poles
in error estimation; defaults to 'AUTO', i.e. cutOffTolerance;
- 'S': total number of pivot samples current approximant relies
upon;
- 'samplerPivot': pivot sample point generator;
- 'SMarginal': number of starting marginal samples;
- 'samplerMarginal': marginal sample point generator via sparse
grid;
- 'errorEstimatorKindMarginal': kind of marginal error estimator;
available values include 'LEAVE_ONE_OUT', 'LOOK_AHEAD', and
'LOOK_AHEAD_RECOVER'; defaults to 'LEAVE_ONE_OUT';
- 'polybasis': type of polynomial basis for pivot interpolation;
defaults to 'MONOMIAL';
- 'polybasisMarginal': type of polynomial basis for marginal
interpolation; allowed values include 'MONOMIAL_*',
'CHEBYSHEV_*', 'LEGENDRE_*', 'NEARESTNEIGHBOR', and
'PIECEWISE_LINEAR_*'; defaults to 'MONOMIAL';
- 'paramsMarginal': dictionary of parameters for marginal
interpolation; include:
. 'MMarginal': degree of marginal interpolant; defaults to
'AUTO', i.e. maximum allowed; not for 'NEARESTNEIGHBOR' or
'PIECEWISE_LINEAR_*';
. 'nNeighborsMarginal': number of marginal nearest neighbors;
defaults to 1; only for 'NEARESTNEIGHBOR' or
'PIECEWISE_LINEAR_*';
. 'polydegreetypeMarginal': type of polynomial degree for
marginal; defaults to 'TOTAL'; not for 'NEARESTNEIGHBOR' or
'PIECEWISE_LINEAR_*';
. 'interpRcondMarginal': tolerance for marginal interpolation;
defaults to None; not for 'NEARESTNEIGHBOR'.
- 'M': degree of rational interpolant numerator; defaults to
'AUTO', i.e. maximum allowed;
- 'N': degree of rational interpolant denominator; defaults to
'AUTO', i.e. maximum allowed;
- 'greedyTolMarginal': uniform error tolerance for marginal greedy
algorithm; defaults to 1e-1;
- 'maxIterMarginal': maximum number of marginal greedy steps;
defaults to 1e2;
- 'radialDirectionalWeights': radial basis weights for pivot
numerator; defaults to 1;
- 'radialDirectionalWeightsMarginal': radial basis weights for
marginal interpolant; defaults to 1;
- 'interpRcond': tolerance for pivot interpolation; defaults to
None;
- 'robustTol': tolerance for robust rational denominator
management; defaults to 0;
- 'correctorForce': whether corrector should forcefully delete bad
poles; defaults to False;
- 'correctorTol': tolerance for corrector step; defaults to 0.,
i.e. no bad poles;
- 'correctorMaxIter': maximum number of corrector iterations;
defaults to 1.
Defaults to empty dict.
approx_state(optional): Whether to approximate state. Defaults to
False.
verbosity(optional): Verbosity level. Defaults to 10.
Attributes:
HFEngine: HF problem solver.
mu0: Default parameter.
directionPivot: Pivot components.
mus: Array of snapshot parameters.
musPivot: Array of pivot snapshot parameters.
musMarginal: Array of marginal snapshot parameters.
approxParameters: Dictionary containing values for main parameters of
approximant. Recognized keys are in parameterList.
parameterListSoft: Recognized keys of soft approximant parameters:
- 'POD': whether to compute POD of snapshots;
- 'scaleFactorDer': scaling factors for derivative computation;
- 'matchingWeight': weight for pole matching optimization;
- 'matchingMode': mode for pole matching optimization;
- 'cutOffTolerance': tolerance for ignoring parasitic poles;
- 'cutOffSharedRatio': required ratio of marginal points to share
resonance in cut off strategy;
- 'matchingWeightError': weight for pole matching optimization in
error estimation;
- 'cutOffToleranceError': tolerance for ignoring parasitic poles
in error estimation;
- 'errorEstimatorKindMarginal': kind of marginal error estimator;
- 'polybasis': type of polynomial basis for pivot interpolation;
- 'polybasisMarginal': type of polynomial basis for marginal
interpolation;
- 'paramsMarginal': dictionary of parameters for marginal
interpolation; include:
. 'MMarginal': degree of marginal interpolant;
. 'nNeighborsMarginal': number of marginal nearest neighbors;
. 'polydegreetypeMarginal': type of polynomial degree for
marginal;
. 'interpRcondMarginal': tolerance for marginal interpolation.
- 'M': degree of rational interpolant numerator;
- 'N': degree of rational interpolant denominator;
- 'greedyTolMarginal': uniform error tolerance for marginal greedy
algorithm;
- 'maxIterMarginal': maximum number of marginal greedy steps;
- 'radialDirectionalWeights': radial basis weights for pivot
numerator;
- 'radialDirectionalWeightsMarginal': radial basis weights for
marginal interpolant;
- 'interpRcond': tolerance for pivot interpolation;
- 'robustTol': tolerance for robust rational denominator
management;
- 'correctorForce': whether corrector should forcefully delete bad
poles;
- 'correctorTol': tolerance for corrector step;
- 'correctorMaxIter': maximum number of corrector iterations.
parameterListCritical: Recognized keys of critical approximant
parameters:
- 'S': total number of pivot samples current approximant relies
upon;
- 'samplerPivot': pivot sample point generator;
- 'SMarginal': total number of marginal samples current approximant
relies upon;
- 'samplerMarginal': marginal sample point generator via sparse
grid.
approx_state: Whether to approximate state.
verbosity: Verbosity level.
POD: Whether to compute POD of snapshots.
scaleFactorDer: Scaling factors for derivative computation.
matchingWeight: Weight for pole matching optimization.
matchingMode: Mode for pole matching optimization.
cutOffTolerance: Tolerance for ignoring parasitic poles.
cutOffSharedRatio: Required ratio of marginal points to share resonance
in cut off strategy.
matchingWeightError: Weight for pole matching optimization in error
estimation.
cutOffToleranceError: Tolerance for ignoring parasitic poles in error
estimation.
S: Total number of pivot samples current approximant relies upon.
samplerPivot: Pivot sample point generator.
SMarginal: Total number of marginal samples current approximant relies
upon.
samplerMarginal: Marginal sample point generator via sparse grid.
errorEstimatorKindMarginal: Kind of marginal error estimator.
polybasis: Type of polynomial basis for pivot interpolation.
polybasisMarginal: Type of polynomial basis for marginal interpolation.
paramsMarginal: Dictionary of parameters for marginal interpolation.
M: Degree of rational interpolant numerator.
N: Degree of rational interpolant denominator.
greedyTolMarginal: Uniform error tolerance for marginal greedy
algorithm.
maxIterMarginal: Maximum number of marginal greedy steps.
radialDirectionalWeights: Radial basis weights for pivot numerator.
radialDirectionalWeightsMarginal: Radial basis weights for marginal
interpolant.
interpRcond: Tolerance for pivot interpolation.
robustTol: Tolerance for robust rational denominator management.
correctorForce: Whether corrector should forcefully delete bad poles.
correctorTol: Tolerance for corrector step.
correctorMaxIter: Maximum number of corrector iterations.
muBounds: list of bounds for pivot parameter values.
muBoundsMarginal: list of bounds for marginal parameter values.
samplingEngine: Sampling engine.
uHF: High fidelity solution(s) with parameter(s) lastSolvedHF as
sampleList.
lastSolvedHF: Parameter(s) corresponding to last computed high fidelity
solution(s) as parameterList.
uApproxReduced: Reduced approximate solution(s) with parameter(s)
lastSolvedApprox as sampleList.
lastSolvedApproxReduced: Parameter(s) corresponding to last computed
reduced approximate solution(s) as parameterList.
uApprox: Approximate solution(s) with parameter(s) lastSolvedApprox as
sampleList.
lastSolvedApprox: Parameter(s) corresponding to last computed
approximate solution(s) as parameterList.
"""
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