RefIntegral::RefIntegral(int spatialDim,
const CellType& maxCellType,
int dim,
const CellType& cellType,
const BasisFamily& testBasis,
int alpha,
int testDerivOrder,
const BasisFamily& unkBasis,
int beta,
int unkDerivOrder,
const QuadratureFamily& quad_in,
bool isInternalBdry,
const ParametrizedCurve& globalCurve,
const Mesh& mesh,
int verb)
: ElementIntegral(spatialDim, maxCellType, dim, cellType,
testBasis, alpha, testDerivOrder,
unkBasis, beta, unkDerivOrder, isInternalBdry, globalCurve , mesh ,verb), W_()
{
Tabs tab0(0);
SUNDANCE_MSG1(setupVerb(),
tab0 << "************* creating reference 2-form integrals ********");
if (setupVerb()) describe(Out::os());
assertBilinearForm();
W_.resize(nFacetCases());
W_ACI_F2_.resize(nFacetCases());
QuadratureType qType = new GaussianQuadratureType();
int reqOrder = qType.findValidOrder(cellType,
std::max(1, unkBasis.order() + testBasis.order()));
SUNDANCE_MSG2(setupVerb(),
tab0 << "using quadrature order=" << reqOrder);
QuadratureFamily quad = qType.createQuadFamily(reqOrder);
/* If we have a valid curve (in case of Adaptive Cell Integration)
* then we have to choose the quadrature which the user specified*/
if (globalCurve.isCurveValid()){
quad = quad_in;
Tabs tab1;
SUNDANCE_MSG1(setupVerb(),tab1 << "ACI change quadrature to Quadrature of order: "<<quad.order());
}
quad_ = quad;
SUNDANCE_MSG2(setupVerb(),
tab0 << "processing evaluation cases");
for (int fc=0; fc<nFacetCases(); fc++)
{
Tabs tab1;
SUNDANCE_MSG1(setupVerb(), tab1 << "------ evaluation case " << fc << " of "
<< nFacetCases() << "-------");
W_[fc].resize(nRefDerivTest() * nNodesTest() * nRefDerivUnk() * nNodesUnk());
for (int i=0; i<W_[fc].size(); i++) W_[fc][i]=0.0;
Array<Array<Array<Array<double> > > > testBasisVals(nRefDerivTest());
Array<Array<Array<Array<double> > > > unkBasisVals(nRefDerivUnk());
getQuad(quad, fc, quadPts_, quadWeights_);
int nQuad = quadPts_.size();
for (int r=0; r<nRefDerivTest(); r++)
{
Tabs tab2;
SUNDANCE_MSG2(setupVerb(), tab2
<< "evaluating test function basis derivative "
<< r << " of " << nRefDerivTest());
testBasisVals[r].resize(testBasis.dim());
MultiIndex mi;
if (testDerivOrder==1) mi[r] = 1;
SpatialDerivSpecifier deriv(mi);
testBasis.refEval(evalCellType(), quadPts_, deriv,
testBasisVals[r], setupVerb());
}
for (int r=0; r<nRefDerivUnk(); r++)
{
Tabs tab2;
SUNDANCE_MSG2(setupVerb(), tab2
<< "evaluating unknown function basis derivative "
<< r << " of " << nRefDerivUnk());
unkBasisVals[r].resize(unkBasis.dim());
MultiIndex mi;
if (unkDerivOrder==1) mi[r] = 1;
SpatialDerivSpecifier deriv(mi);
unkBasis.refEval(evalCellType(),
quadPts_, deriv, unkBasisVals[r], setupVerb());
}
SUNDANCE_MSG2(setupVerb(), tab1 << "doing quadrature...");
int vecComp = 0;
W_ACI_F2_[fc].resize(nQuad);
for (int q=0; q<nQuad; q++)
{
W_ACI_F2_[fc][q].resize(nRefDerivTest());
for (int t=0; t<nRefDerivTest(); t++)
{
W_ACI_F2_[fc][q][t].resize(nNodesTest());
for (int nt=0; nt<nNodesTest(); nt++)
{
W_ACI_F2_[fc][q][t][nt].resize(nRefDerivUnk());
for (int u=0; u<nRefDerivUnk(); u++)
{
W_ACI_F2_[fc][q][t][nt][u].resize(nNodesUnk());
for (int nu=0; nu<nNodesUnk(); nu++)
{
value(fc, t, nt, u, nu)
+= chop(quadWeights_[q] * testBasisVals[t][vecComp][q][nt]
* unkBasisVals[u][vecComp][q][nu]);
W_ACI_F2_[fc][q][t][nt][u][nu] = chop( testBasisVals[t][vecComp][q][nt]
* unkBasisVals[u][vecComp][q][nu] );
}
}
}
}
}
SUNDANCE_MSG2(setupVerb(), tab1 << "...done");
addFlops(4*nQuad*nRefDerivTest()*nNodesTest()*nRefDerivUnk()*nNodesUnk()
+ W_[fc].size());
for (int i=0; i<W_[fc].size(); i++) W_[fc][i] = chop(W_[fc][i]);
}
SUNDANCE_MSG1(setupVerb(), tab0
<< "----------------------------------------");
SUNDANCE_MSG4(setupVerb(), tab0
<< "reference bilinear form integral results");
if (setupVerb() >= 4)
{
for (int fc=0; fc<nFacetCases(); fc++)
{
Tabs tab1;
SUNDANCE_MSG4(setupVerb(), tab1 << "evaluation case " << fc << " of "
<< nFacetCases());
for (int rt=0; rt<nRefDerivTest(); rt++)
{
for (int ru=0; ru<nRefDerivUnk(); ru++)
{
Tabs tab2;
MultiIndex miTest;
if (testDerivOrder==1) miTest[rt] = 1;
MultiIndex miUnk;
if (unkDerivOrder==1) miUnk[ru] = 1;
SUNDANCE_MSG1(setupVerb(), tab2 << "test multiindex=" << miTest
<< " unk multiindex=" << miUnk);
ios_base::fmtflags oldFlags = Out::os().flags();
Out::os().setf(ios_base::right);
Out::os().setf(ios_base::showpoint);
for (int nt=0; nt<nNodesTest(); nt++)
{
Tabs tab3;
Out::os() << tab3 << setw(10) << nt;
for (int nu=0; nu<nNodesUnk(); nu++)
{
Out::os() << setw(12) << std::setprecision(5)
<< value(fc, rt, nt, ru, nu) ;
}
Out::os() << std::endl;
}
Out::os().flags(oldFlags);
}
}
}
}
SUNDANCE_MSG1(setupVerb(), tab0 << "done reference bilinear form ctor");
}
RefIntegral::RefIntegral(int spatialDim,
const CellType& maxCellType,
int dim,
const CellType& cellType,
const QuadratureFamily& quad_in,
bool isInternalBdry,
const ParametrizedCurve& globalCurve,
const Mesh& mesh,
int verb)
: ElementIntegral(spatialDim, maxCellType, dim, cellType, isInternalBdry, globalCurve , mesh,
verb), W_()
{
Tabs tab0(0);
SUNDANCE_MSG1(setupVerb(),
tab0 << "************* creating reference 0-form integrals ********");
if (setupVerb()) describe(Out::os());
/* we need to sum the quadrature weights
to compute the volume of the reference cell */
QuadratureFamily quad = new GaussianQuadrature(2);
/* If we have a valid curve (in case of Adaptive Cell Integration)
* then we have to choose the quadrature which the user specified*/
if (globalCurve.isCurveValid()){
quad = quad_in;
Tabs tab1;
SUNDANCE_MSG1(setupVerb(),tab1 << "ACI change quadrature to Quadrature of order: "<<quad.order());
}
quad_ = quad;
Array<Point> quadPts;
Array<double> quadWeights;
W_.resize(1);
W_[0].resize(1);
quad.getPoints(cellType, quadPts, quadWeights);
quadWeights_ = quadWeights;
for (int q=0; q<quadWeights.size(); q++) {
W_[0][0] += quadWeights[q];
}
}
RefIntegral::RefIntegral(int spatialDim,
const CellType& maxCellType,
int dim,
const CellType& cellType,
const BasisFamily& testBasis,
int alpha,
int testDerivOrder,
const QuadratureFamily& quad_in,
bool isInternalBdry,
const ParametrizedCurve& globalCurve,
const Mesh& mesh,
int verb)
: ElementIntegral(spatialDim, maxCellType, dim, cellType,
testBasis, alpha, testDerivOrder, isInternalBdry, globalCurve , mesh , verb), W_()
{
Tabs tab0(0);
SUNDANCE_MSG1(setupVerb(),
tab0 << "************* creating reference 1-form integrals ********");
if (setupVerb()) describe(Out::os());
assertLinearForm();
W_.resize(nFacetCases());
W_ACI_F1_.resize(nFacetCases());
/* Determine the quadrature order needed for exact integrations */
QuadratureType qType = new GaussianQuadratureType();
int reqOrder = qType.findValidOrder(cellType,
std::max(1, testBasis.order()));
SUNDANCE_MSG2(setupVerb(),
tab0 << "using quadrature order=" << reqOrder);
/* Create a quadrature family of the required order */
QuadratureFamily quad = qType.createQuadFamily(reqOrder);
/* If we have a valid curve (in case of Adaptive Cell Integration)
* then we have to choose the quadrature which the user specified*/
if (globalCurve.isCurveValid()){
quad = quad_in;
Tabs tab1;
SUNDANCE_MSG1(setupVerb(),tab1 << "ACI change quadrature to Quadrature of order: "<<quad.order());
}
quad_ = quad;
/* We now loop over the different evaluation cases, integrating the
* basis functions for each. Because this is a reference integral,
* we can actually do the untransformed integrals here. */
for (int fc=0; fc<nFacetCases(); fc++)
{
Tabs tab1;
SUNDANCE_MSG2(setupVerb(),
tab1 << "evaluation case=" << fc << " of " << nFacetCases());
/* initialize size of untransformed integral results array */
W_[fc].resize(nRefDerivTest() * nNodesTest());
/* initialize values of integrals to zero */
for (int i=0; i<W_[fc].size(); i++) { W_[fc][i]=0.0; }
Array<Array<Array<Array<double> > > > testBasisVals(nRefDerivTest());
/* get quadrature points */
getQuad(quad, fc, quadPts_, quadWeights_);
int nQuad = quadPts_.size();
/* compute the basis functions */
for (int r=0; r<nRefDerivTest(); r++)
{
Tabs tab2;
SUNDANCE_MSG2(setupVerb(), tab2 << "evaluating basis derivative "
<< r << " of " << nRefDerivTest());
testBasisVals[r].resize(testBasis.dim());
MultiIndex mi;
if (testDerivOrder==1) mi[r] = 1;
SpatialDerivSpecifier deriv(mi);
testBasis.refEval(evalCellType(), quadPts_, deriv,
testBasisVals[r], setupVerb());
}
/* do the quadrature */
SUNDANCE_MSG2(setupVerb(), tab1 << "doing quadrature");
int vecComp = 0;
W_ACI_F1_[fc].resize(nQuad);
for (int q=0; q<nQuad; q++)
{
W_ACI_F1_[fc][q].resize(nRefDerivTest());
for (int t=0; t<nRefDerivTest(); t++)
{
W_ACI_F1_[fc][q][t].resize(nNodesTest());
for (int nt=0; nt<nNodesTest(); nt++)
{
value(fc, t, nt)
+= chop(quadWeights_[q] * testBasisVals[t][vecComp][q][nt]) ;
W_ACI_F1_[fc][q][t][nt] = chop(testBasisVals[t][vecComp][q][nt]);
}
}
}
for (int i=0; i<W_[fc].size(); i++) W_[fc][i] = chop(W_[fc][i]);
addFlops(3*nQuad*nRefDerivTest()*nNodesTest() + W_[fc].size());
}
/* print the result */
SUNDANCE_MSG4(setupVerb(), tab0 << "--------------------------------------");
SUNDANCE_MSG4(setupVerb(), tab0 << "reference linear form integral results");
if (setupVerb() >= 4)
{
for (int fc=0; fc<nFacetCases(); fc++)
{
Tabs tab1;
SUNDANCE_MSG4(setupVerb(), tab1 << "------ evaluation case " << fc << " of "
<< nFacetCases() << "-------");
for (int r=0; r<nRefDerivTest(); r++)
{
Tabs tab2;
MultiIndex mi;
if (testDerivOrder==1) mi[r] = 1;
SUNDANCE_MSG1(setupVerb(), tab2 << "multiindex=" << mi);
ios_base::fmtflags oldFlags = Out::os().flags();
Out::os().setf(ios_base::right);
Out::os().setf(ios_base::showpoint);
for (int nt=0; nt<nNodesTest(); nt++)
{
Tabs tab3;
Out::os() << tab3 << setw(10) << nt
<< setw(12) << std::setprecision(5) << value(fc, r, nt)
<< std::endl;
}
Out::os().flags(oldFlags);
}
}
}
SUNDANCE_MSG1(setupVerb(), tab0 << "done reference linear form ctor");
}