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quadrature_sampler.py
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Sat, Apr 27, 08:15

quadrature_sampler.py
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# Copyright (C) 2018-2020 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 rrompy.parameter.parameter_sampling.generic_quadrature_sampler import (
GenericQuadratureSampler)
from rrompy.utilities.base.types import paramList
from rrompy.utilities.numerical import (lowDiscrepancy, kroneckerer,
quadraturePointsGenerate)
__all__ = ['QuadratureSampler']
class QuadratureSampler(GenericQuadratureSampler):
"""Generator of quadrature sample points."""
def generatePoints(self, n:int, reorder : bool = True) -> paramList:
"""Array of sample points."""
n1d = int(np.ceil(n ** (1. / self.npar)))
nleft, nright = 1, n1d ** self.npar
xmat = np.empty((nright, self.npar), dtype = np.complex)
limsE = self.mapParameterList(self.lims)
for d in range(self.npar):
nright //= n1d
a, b = limsE(d)
c, r = .5 * (a + b), .5 * (b - a)
xd = c + r * quadraturePointsGenerate(n1d, self.kind)
xmat[:, d] = kroneckerer(xd, nleft, nright)
nleft *= n1d
nright = n1d ** self.npar
if nright > 1 and reorder:
fejerOrdering = [nright - 1] + lowDiscrepancy(nright - 1)
xmat = xmat[fejerOrdering, :]
return self.mapParameterList(xmat, "B")

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