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/*
* Advanced Simulation Library <http://asl.org.il>
*
* Copyright 2015 Avtech Scientific <http://avtechscientific.com>
*
*
* This file is part of Advanced Simulation Library (ASL).
*
* ASL is free software: you can redistribute it and/or modify it
* under the terms of the GNU Affero General Public License as
* published by the Free Software Foundation, version 3 of the License.
*
* ASL 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with ASL. If not, see <http://www.gnu.org/licenses/>.
*
*/
#include "aslBarycentric.h"
#include "aslMatrices.h"
#include "../aslUtilities.h"
using namespace std;
using asl::errorMessage;
namespace asl
{
Barycentric::Barycentric(vector<AVec<>> & p)
{
init(p);
}
Barycentric::Barycentric():
corners(0)
{
}
void Barycentric::init(vector<AVec<>> & p)
{
if(p.size()-1 != p[0].getSize())
errorMessage("asl::Barycentric::init: number of points does not corresponds to the dimensionality");
corners=p;
unsigned int n(p.size()-1);
t.resize(n, n);
tInv.resize(n, n);
for(unsigned int i(1); i < p.size(); ++i)
{
t.setRow(i - 1, corners[i]-corners[0]);
}
tInv = inverseMatrix(t);
}
AVec<> Barycentric::getCordinates(const AVec<> & p)
{
if(t.getNRow() != p.getSize())
errorMessage("asl::Barycentric::interpolate: point dimensionality does not corresponds to the triangle dimensionality");
return tInv * (p - corners[0]);
}
double Barycentric::interpolate(const AVec<> & p,
const AVec<> & f)
{
if(p.getSize()+1 != f.getSize())
errorMessage("Barycentric::interpolate: number of function values does not corresponds to the dimensionality");
AVec<> fm(subAVec(f, 1, p.getSize()) - AVec<>(p.getSize(), f[0]));
return f[0] + fm * getCordinates(p);
}
bool Barycentric::in(const AVec<> & p)
{
auto x(getCordinates(p));
auto res(0 <= x[0]);
for(unsigned int i(1); i < x.getSize(); ++i)
res = res && ( 0 <= x[i] );
res = res && (sumOfElements(x) <= 1);
return res;
}
AVec<> Barycentric::gradient(const AVec<> & f)
{
if(t.getNRow()+1 != f.getSize())
errorMessage("Barycentric::gradient: number of function values does not corresponds to the dimensionality");
unsigned int nd(f.getSize()-1);
AVec<> fm(subAVec(f, 1, nd) - AVec<>(nd,f[0]));
return fm*tInv;
}
} // namespace asl
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