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trained_model_pade.py
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Sun, Apr 28, 01:05

trained_model_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 numpy as np
from . import TrainedModel
from rrompy.utilities.base.types import (Np1D, List, paramVal, paramList,
sampList)
from rrompy.utilities.base import verbosityManager as vbMng, freepar as fp
from rrompy.utilities.poly_fitting.polynomial import polyroots
from rrompy.utilities.exception_manager import RROMPyException
from rrompy.parameter import (checkParameter, checkParameterList,
emptyParameterList)
from rrompy.sampling import sampleList
__all__ = ['TrainedModelPade']
class TrainedModelPade(TrainedModel):
"""
ROM approximant evaluation for Pade' approximant.
Attributes:
Data: dictionary with all that can be pickled.
"""
def centerNormalize(self, mu : paramList = [],
mu0 : paramVal = None) -> paramList:
"""
Compute normalized parameter to be plugged into approximant.
Args:
mu: Parameter(s) 1.
mu0: Parameter(s) 2. If None, set to self.data.mu0.
Returns:
Normalized parameter.
"""
mu = checkParameterList(mu, self.data.npar)[0]
if mu0 is None: mu0 = self.data.mu0
rad = ((mu ** self.data.rescalingExp - mu0 ** self.data.rescalingExp)
/ self.data.scaleFactor)
return rad
def getPVal(self, mu : paramList = [], der : List[int] = None,
scl : Np1D = None) -> sampList:
"""
Evaluate Pade' numerator at arbitrary parameter.
Args:
mu: Target parameter.
der(optional): Derivatives to take before evaluation.
"""
mu = checkParameterList(mu, self.data.npar)[0]
vbMng(self, "INIT", "Evaluating numerator at mu = {}.".format(mu), 17)
muCenter = self.centerNormalize(mu)
p = sampleList(self.data.P(muCenter, der, scl))
vbMng(self, "DEL", "Done evaluating numerator.", 17)
return p
def getQVal(self, mu:Np1D, der : List[int] = None,
scl : Np1D = None) -> Np1D:
"""
Evaluate Pade' denominator at arbitrary parameter.
Args:
mu: Target parameter.
der(optional): Derivatives to take before evaluation.
"""
mu = checkParameterList(mu, self.data.npar)[0]
vbMng(self, "INIT", "Evaluating denominator at mu = {}.".format(mu),
17)
muCenter = self.centerNormalize(mu)
q = self.data.Q(muCenter, der, scl)
vbMng(self, "DEL", "Done evaluating denominator.", 17)
return q
def getApproxReduced(self, mu : paramList = []) -> sampList:
"""
Evaluate reduced representation of approximant at arbitrary parameter.
Args:
mu: Target parameter.
"""
mu = checkParameterList(mu, self.data.npar)[0]
if (not hasattr(self, "lastSolvedApproxReduced")
or self.lastSolvedApproxReduced != mu):
vbMng(self, "INIT",
"Evaluating approximant at mu = {}.".format(mu), 12)
self.uApproxReduced = self.getPVal(mu) / self.getQVal(mu)
vbMng(self, "DEL", "Done evaluating approximant.", 12)
self.lastSolvedApproxReduced = mu
return self.uApproxReduced
def getPoles(self, *args, **kwargs) -> Np1D:
"""
Obtain approximant poles.
Returns:
Numpy complex vector of poles.
"""
if len(args) + len(kwargs) > 1:
raise RROMPyException(("Wrong number of parameters passed. "
"Only 1 available."))
elif len(args) + len(kwargs) == 1:
if len(args) == 1:
mVals = args[0]
else:
mVals = kwargs["marginalVals"]
if not hasattr(mVals, "__len__"): mVals = [mVals]
mVals = list(mVals)
else:
mVals = [fp]
try:
rDim = mVals.index(fp)
if rDim < len(mVals) - 1 and fp in mVals[rDim + 1 :]:
raise
except:
raise RROMPyException(("Exactly 1 'freepar' entry in "
"marginalVals must be provided."))
mVals[rDim] = self.data.mu0(rDim)
mVals = self.centerNormalize(checkParameter(mVals, len(mVals)))
mVals = list(mVals.data.flatten())
mVals[rDim] = fp
return np.power(self.data.mu0(rDim) ** self.data.rescalingExp[rDim]
+ self.data.scaleFactor[rDim] * self.data.Q.roots(mVals),
1. / self.data.rescalingExp[rDim])
def getResidues(self, *args, **kwargs) -> Np1D:
"""
Obtain approximant residues.
Returns:
Numpy matrix with residues as columns.
"""
pls = self.getPoles(*args, **kwargs)
if len(args) == 1:
mVals = args[0]
else:
mVals = kwargs["marginalVals"]
if not hasattr(mVals, "__len__"): mVals = [mVals]
mVals = list(mVals)
rDim = mVals.index(fp)
poles = emptyParameterList()
poles.reset((len(pls), self.npar), dtype = pls.dtype)
for k, pl in enumerate(pls):
poles[k] = mVals
poles.data[k, rDim] = pl
res = (self.data.projMat.dot(self.getPVal(poles).data)
/ self.getQVal(poles, list(1 * (np.arange(self.npar) == rDim))))
return pls, res

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