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val.py
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Mon, May 6, 12:09

val.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
import numpy as np
from rrompy.utilities.base.types import Np1D, Np2D, paramList
from rrompy.parameter import checkParameterList
from rrompy.utilities.exception_manager import RROMPyException
from rrompy.utilities.poly_fitting.polynomial import polyval as pvP
from .kernel import radialGaussian, thinPlateSpline, multiQuadric
__all__ = ['polyval']
def polyval(x:paramList, cG:Np2D, cL:Np2D, supportPoints:paramList,
directionalWeights:Np1D, basis:str) -> Np2D:
x = checkParameterList(x)[0]
basisp, basisr = basis.split("_")
c = pvP(x, cG, basisp)
try:
radialvalbase = {"GAUSSIAN" : radialGaussian,
"THINPLATE" : thinPlateSpline,
"MULTIQUADRIC" : multiQuadric
}[basisr.upper()]
except:
raise RROMPyException("Radial basis not recognized.")
csh = copy(c.shape)
if len(csh) == 1: c = c.reshape(1, -1)
for j in range(len(x)):
muDiff = (supportPoints.data - x[j]) * directionalWeights
r2j = np.sum(np.abs(muDiff) ** 2., axis = 1).reshape(1, -1)
val = radialvalbase(r2j).dot(cL)
try:
c[..., j] += val
except:
c[..., j] += val.flatten()
if len(csh) == 1: c = c.flatten()
return c

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