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========= |
\\ / F ield | OpenFOAM: The Open Source CFD Toolbox
\\ / O peration | Website: https://openfoam.org
\\ / A nd | Copyright (C) 2012-2024 OpenFOAM Foundation
\\/ M anipulation |
-------------------------------------------------------------------------------
License
This file is part of OpenFOAM.
OpenFOAM is free software: you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
OpenFOAM 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 General Public License
for more details.
You should have received a copy of the GNU General Public License
along with OpenFOAM. If not, see <http://www.gnu.org/licenses/>.
\*---------------------------------------------------------------------------*/
#include "pointToPointPlanarInterpolation.H"
#include "boundBox.H"
#include "randomGenerator.H"
#include "vector2D.H"
#include "triSurface.H"
#include "triSurfaceTools.H"
#include "OBJstream.H"
#include "Time.H"
#include "matchPoints.H"
// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
namespace Foam
{
defineTypeNameAndDebug(pointToPointPlanarInterpolation, 0);
}
// * * * * * * * * * * * * * Private Member Functions * * * * * * * * * * * //
Foam::coordinateSystem
Foam::pointToPointPlanarInterpolation::calcCoordinateSystem
(
const pointField& points
) const
{
if (points.size() < 3)
{
FatalErrorInFunction
<< "Only " << points.size() << " provided." << nl
<< "Need at least three non-colinear points"
<< " to be able to interpolate."
<< exit(FatalError);
}
const point& p0 = points[0];
// Find furthest away point
vector e1;
label index1 = -1;
scalar maxDist = -great;
for (label i = 1; i < points.size(); i++)
{
const vector d = points[i] - p0;
scalar magD = mag(d);
if (magD > maxDist)
{
e1 = d/magD;
index1 = i;
maxDist = magD;
}
}
// Find point that is furthest away from line p0-p1
const point& p1 = points[index1];
label index2 = -1;
maxDist = -great;
for (label i = 1; i < points.size(); i++)
{
if (i != index1)
{
const point& p2 = points[i];
vector e2(p2 - p0);
e2 -= (e2&e1)*e1;
scalar magE2 = mag(e2);
if (magE2 > maxDist)
{
index2 = i;
maxDist = magE2;
}
}
}
if (index2 == -1)
{
FatalErrorInFunction
<< "Cannot find points that make valid normal." << nl
<< "Have so far points " << p0 << " and " << p1
<< "Need at least three points which are not in a line."
<< exit(FatalError);
}
vector n = e1^(points[index2]-p0);
n /= mag(n);
if (debug)
{
InfoInFunction
<< " Used points " << p0 << ' ' << points[index1]
<< ' ' << points[index2]
<< " to define coordinate system with normal " << n << endl;
}
return coordinateSystem
(
"reference",
p0, // origin
n, // normal
e1 // 0-axis
);
}
void Foam::pointToPointPlanarInterpolation::calcWeights
(
const pointField& sourcePoints,
const pointField& destPoints
)
{
if (nearestOnly_)
{
labelList destToSource;
bool fullMatch = matchPoints
(
destPoints,
sourcePoints,
scalarField(destPoints.size(), great),
true, // verbose
destToSource
);
if (!fullMatch)
{
FatalErrorInFunction
<< "Did not find a corresponding sourcePoint for every face"
<< " centre" << exit(FatalError);
}
nearestVertex_.setSize(destPoints.size());
nearestVertexWeight_.setSize(destPoints.size());
forAll(nearestVertex_, i)
{
nearestVertex_[i][0] = destToSource[i];
nearestVertex_[i][1] = -1;
nearestVertex_[i][2] = -1;
nearestVertexWeight_[i][0] = 1.0;
nearestVertexWeight_[i][1] = 0.0;
nearestVertexWeight_[i][2] = 0.0;
}
if (debug)
{
forAll(destPoints, i)
{
label v0 = nearestVertex_[i][0];
Pout<< "For location " << destPoints[i]
<< " sampling vertex " << v0
<< " at:" << sourcePoints[v0]
<< " distance:" << mag(sourcePoints[v0]-destPoints[i])
<< endl;
}
OBJstream str("destToSource.obj");
Pout<< "pointToPointPlanarInterpolation::calcWeights :"
<< " Dumping lines from face centres to original points to "
<< str.name() << endl;
forAll(destPoints, i)
{
label v0 = nearestVertex_[i][0];
str.write(linePointRef(destPoints[i], sourcePoints[v0]));
}
}
}
else
{
tmp<vectorField> tlocalVertices
(
referenceCS_.localPosition(sourcePoints)
);
vectorField& localVertices = tlocalVertices.ref();
const boundBox bb(localVertices, true);
const point bbMid(bb.midpoint());
if (debug)
{
InfoInFunction
<< " Perturbing points with " << perturb_
<< " fraction of a random position inside " << bb
<< " to break any ties on regular meshes."
<< nl << endl;
}
randomGenerator rndGen(123456);
forAll(localVertices, i)
{
localVertices[i] +=
perturb_
*(rndGen.sampleAB<vector>(bb.min(), bb.max()) - bbMid);
}
// Determine triangulation
List<vector2D> localVertices2D(localVertices.size());
forAll(localVertices, i)
{
localVertices2D[i][0] = localVertices[i][0];
localVertices2D[i][1] = localVertices[i][1];
}
triSurface s(triSurfaceTools::delaunay2D(localVertices2D));
tmp<pointField> tlocalFaceCentres
(
referenceCS_.localPosition
(
destPoints
)
);
const pointField& localFaceCentres = tlocalFaceCentres();
if (debug)
{
Pout<< "pointToPointPlanarInterpolation::calcWeights :"
<<" Dumping triangulated surface to triangulation.stl" << endl;
s.write("triangulation.stl");
OBJstream str("localFaceCentres.obj");
Pout<< "pointToPointPlanarInterpolation::calcWeights :"
<< " Dumping face centres to " << str.name() << endl;
forAll(localFaceCentres, i)
{
str.write(localFaceCentres[i]);
}
}
// Determine interpolation onto face centres.
triSurfaceTools::calcInterpolationWeights
(
s,
localFaceCentres, // points to interpolate to
nearestVertex_,
nearestVertexWeight_
);
if (debug)
{
forAll(sourcePoints, i)
{
Pout<< "source:" << i << " at:" << sourcePoints[i]
<< " 2d:" << localVertices[i]
<< endl;
}
forAll(destPoints, i)
{
label v0 = nearestVertex_[i][0];
label v1 = nearestVertex_[i][1];
label v2 = nearestVertex_[i][2];
Pout<< "For location " << destPoints[i]
<< " 2d:" << localFaceCentres[i]
<< " sampling vertices" << nl
<< " " << v0
<< " at:" << sourcePoints[v0]
<< " weight:" << nearestVertexWeight_[i][0] << nl;
if (v1 != -1)
{
Pout<< " " << v1
<< " at:" << sourcePoints[v1]
<< " weight:" << nearestVertexWeight_[i][1] << nl;
}
if (v2 != -1)
{
Pout<< " " << v2
<< " at:" << sourcePoints[v2]
<< " weight:" << nearestVertexWeight_[i][2] << nl;
}
Pout<< endl;
}
}
}
}
// * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
Foam::pointToPointPlanarInterpolation::pointToPointPlanarInterpolation
(
const pointField& sourcePoints,
const pointField& destPoints,
const scalar perturb,
const bool nearestOnly
)
:
perturb_(perturb),
nearestOnly_(nearestOnly),
referenceCS_(calcCoordinateSystem(sourcePoints)),
nPoints_(sourcePoints.size())
{
calcWeights(sourcePoints, destPoints);
}
Foam::pointToPointPlanarInterpolation::pointToPointPlanarInterpolation
(
const coordinateSystem& referenceCS,
const pointField& sourcePoints,
const pointField& destPoints,
const scalar perturb
)
:
perturb_(perturb),
nearestOnly_(false),
referenceCS_(referenceCS),
nPoints_(sourcePoints.size())
{
calcWeights(sourcePoints, destPoints);
}
// * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * * //
Foam::wordList Foam::pointToPointPlanarInterpolation::timeNames
(
const instantList& times
)
{
wordList names(times.size());
forAll(times, i)
{
names[i] = times[i].name();
}
return names;
}
bool Foam::pointToPointPlanarInterpolation::findTime
(
const instantList& times,
const label startSampleTime,
const scalar timeVal,
label& lo,
label& hi
)
{
lo = startSampleTime;
hi = -1;
for (label i = startSampleTime+1; i < times.size(); i++)
{
if (times[i].value() > timeVal)
{
break;
}
else
{
lo = i;
}
}
if (lo == -1)
{
// FatalErrorInFunction
// << "Cannot find starting sampling values for current time "
// << timeVal << nl
// << "Have sampling values for times "
// << timeNames(times) << nl
// << exit(FatalError);
return false;
}
if (lo < times.size()-1)
{
hi = lo+1;
}
if (debug)
{
if (hi == -1)
{
Pout<< "findTime : Found time " << timeVal << " after"
<< " index:" << lo << " time:" << times[lo].value()
<< endl;
}
else
{
Pout<< "findTime : Found time " << timeVal << " in between"
<< " index:" << lo << " time:" << times[lo].value()
<< " and index:" << hi << " time:" << times[hi].value()
<< endl;
}
}
return true;
}
// ************************************************************************* //
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