void PeriodicSingleCellMesh1D::getJacobians(int cellDim, const Array<int>& cellLID,
CellJacobianBatch& jBatch) const
{
TEUCHOS_TEST_FOR_EXCEPTION(cellDim < 0 || cellDim > spatialDim(), std::logic_error,
"cellDim=" << cellDim
<< " is not in expected range [0, " << spatialDim()
<< "]");
jBatch.resize(cellLID.size(), spatialDim(), cellDim);
int nCells = cellLID.size();
TEUCHOS_TEST_FOR_EXCEPT(nCells != 1);
if (cellDim==0)
{
for (int i=0; i<nCells; i++)
{
double* detJ = jBatch.detJ(i);
*detJ = 1.0;
}
}
else
{
for (int i=0; i<nCells; i++)
{
double* J = jBatch.jVals(i);
J[0] = fabs(xMin_-xMax_);
}
}
}
void ElementIntegral
::createOneFormTransformationMatrix(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol) const
{
TimeMonitor timer(transCreationTimer());
Tabs tab;
SUNDANCE_MSG2(transformVerb(),
tab << "ElementIntegral creating linear form trans matrices");
int maxDim = JTrans.cellDim();
if (transformationMatrixIsValid(alpha())) return;
transformationMatrixIsValid(alpha()) = true;
int flops = JTrans.numCells() * maxDim + JTrans.numCells();
G(alpha()).resize(JTrans.numCells() * JTrans.cellDim());
int k = 0;
double* GPtr = &(G(alpha())[0]);
for (int c=0; c<JTrans.numCells(); c++)
{
Array<double> invJ;
JTrans.getInvJ(c, invJ);
double detJ = fabs(JVol.detJ()[c]);
for (int gamma=0; gamma<maxDim; gamma++, k++)
{
GPtr[k] = detJ*invJ[alpha() + maxDim * gamma];
}
}
addFlops(flops);
}
void CubicHermite::postApplyTransformationTriangle( const Mesh &mesh,
const Array<int> &cellLIDs ,
const CellJacobianBatch& JVol,
RCP<Array<double> >& A ) const
{
Array<double> &Anoptr = *A;
Array<double> cellVertH;
getVertexH( mesh , cellLIDs , cellVertH );
const int numRows = Anoptr.size() / 10 / JVol.numCells();
for (int i=0;i<JVol.numCells();i++)
{
const double *invJ = JVol.jVals(i);
const int cell_start = i * numRows * 10;
// handle columns 1 and 2
for (int j=0;j<numRows;j++)
{
const double a = Anoptr[cell_start + numRows + j];
const double b = Anoptr[cell_start + 2*numRows + j];
Anoptr[cell_start + numRows + j] = (invJ[0] * a + invJ[1] * b)/cellVertH[3*i];
Anoptr[cell_start + 2*numRows + j] = (invJ[2] * a + invJ[3] * b)/cellVertH[3*i];
}
// handle columns 4 and 5
for (int j=0;j<numRows;j++)
{
const double a = Anoptr[cell_start + 4*numRows + j];
const double b = Anoptr[cell_start + 5*numRows + j];
Anoptr[cell_start + 4*numRows + j] = (invJ[0] * a + invJ[1] * b)/cellVertH[3*i+1];
Anoptr[cell_start + 5*numRows + j] = (invJ[2] * a + invJ[3] * b)/cellVertH[3*i+1];
}
// handle columns 7 and 8
for (int j=0;j<numRows;j++)
{
const double a = Anoptr[cell_start + 7*numRows + j];
const double b = Anoptr[cell_start + 8*numRows + j];
Anoptr[cell_start + 7*numRows + j] = (invJ[0] * a + invJ[1] * b)/cellVertH[3*i+2];
Anoptr[cell_start + 8*numRows + j] = (invJ[2] * a + invJ[3] * b)/cellVertH[3*i+2];
}
}
return;
}
void IQI_HdivLF_DivV_Cell::evaluate( CellJacobianBatch& JTrans,
const double* const coeff,
RefCountPtr<Array<double> >& A) const
{
const int nqp = quad().getNumPoints( maxCellType() );
const int ncell = JTrans.numCells();
const int nbf = testBasis().nReferenceDOFs(maxCellType(),maxCellType());
// wrap A into a rank 2 field container
Teuchos::Array<int> Aindices(2);
Aindices[0] = nqp;
Aindices[1] = nbf;
Intrepid::FieldContainer<double> AFC(Aindices,*A);
// wrap coeff into another field container.
// by way of a Teuchos array
// by way of discarding the const
/* this surprisingly doesn't depend on the Jacobian ! */
for (int c=0;c<ncell;c++) {
for (int bf=0;bf<nbf;bf++) {
AFC(c,bf) = 0.0;
for (int q=0;q<nqp;q++) {
AFC(c,bf) += QW_(q) * coeff[c*nqp+q] * DivV_(bf,q );
}
}
}
return;
}
void CubicHermite::preApplyTransformationTriangle( const Mesh &mesh,
const Array<int> &cellLIDs,
const CellJacobianBatch& JVol,
RCP<Array<double> >& A) const
{
Array<double> &Anoptr = *A;
Array<double> cellVertH;
getVertexH( mesh , cellLIDs , cellVertH );
// this applies M from the left on each cell
// A for each cell has 10 rows because it is Hermite
// so, this gives the number of columns per cell
const int numCols = Anoptr.size() / JVol.numCells() / 10;
for (int i=0;i<JVol.numCells();i++)
{
const int cell_start = i * numCols * 10;
const double *invJ = JVol.jVals(i);
for (int j=0;j<numCols;j++)
{
const int col_start = cell_start + 10 * j;
const double a1 = Anoptr[col_start + 1];
const double a2 = Anoptr[col_start + 2];
const double a4 = Anoptr[col_start + 4];
const double a5 = Anoptr[col_start + 5];
const double a7 = Anoptr[col_start + 7];
const double a8 = Anoptr[col_start + 8];
Anoptr[col_start+1] = (invJ[0]*a1 + invJ[1]*a2)/cellVertH[3*i];
Anoptr[col_start+2] = (invJ[2]*a1 + invJ[3]*a2)/cellVertH[3*i];
Anoptr[col_start+4] = (invJ[0]*a4 + invJ[1]*a5)/cellVertH[3*i+1];
Anoptr[col_start+5] = (invJ[2]*a4 + invJ[3]*a5)/cellVertH[3*i+1];
Anoptr[col_start+7] = (invJ[0]*a7 + invJ[1]*a8)/cellVertH[3*i+2];
Anoptr[col_start+8] = (invJ[2]*a7 + invJ[3]*a8)/cellVertH[3*i+2];
}
}
}
int main(int argc, char** argv)
{
try
{
GlobalMPISession session(&argc, &argv);
TimeMonitor t(totalTimer());
int pMax = 2;
int dim=2;
verbosity<RefIntegral>() = 0;
CellType cellType = TriangleCell;
Point a = Point(0.0, 0.0);
Point b = Point(1.0, 0.0);
Point c = Point(0.0, 1.0);
// Point a = Point(1.0, 1.0);
// Point b = Point(1.2, 1.6);
// Point c = Point(0.8, 1.3);
CellJacobianBatch JBatch;
JBatch.resize(1, dim, dim);
double* J = JBatch.jVals(0);
J[0] = b[0] - a[0];
J[1] = c[0] - a[0];
J[2] = b[1] - a[1];
J[3] = c[1] - a[1];
QuadratureFamily q4 = new GaussianQuadrature(4);
for (int p=1; p<=pMax; p++)
{
std::cerr << std::endl << "---------- p = " << p << " --------------" << std::endl;
Tabs tab;
BasisFamily P = new Lagrange(p);
RCP<Array<double> > A = rcp(new Array<double>());
RCP<Array<double> > Bxx = rcp(new Array<double>());
RCP<Array<double> > Byy = rcp(new Array<double>());
Array<double> constCoeff = tuple(1.0, 1.0);
Array<int> alpha = tuple(0,1);
Array<int> beta = tuple(0,1);
ParametrizedCurve curve = new DummyParametrizedCurve();
MeshType meshType = new BasicSimplicialMeshType();
MeshSource mesher = new PartitionedLineMesher(0.0, 1.0, 10, meshType);
Mesh mesh = mesher.getMesh();
QuadratureFamily quad_1 = new GaussianQuadrature(2);
RCP<Array<int> > cellLIDs;
RefIntegral ref(dim, dim, cellType, P, alpha, 1, P, beta,quad_1, 1, isInternalBdry , curve , mesh);
QuadratureIntegral qxx(dim, dim, cellType, P, tuple(0), 1,
P, tuple(0), 1, q4, curve , mesh,isInternalBdry);
QuadratureIntegral qyy(dim, dim, cellType, P, tuple(1), 1,
P, tuple(1), 1, q4, curve , mesh,isInternalBdry);
int nq = qxx.nQuad();
Array<double> varCoeff(nq, 1.0);
std::cerr << "============================= Doing reference integration =========== " << std::endl;
ref.transformTwoForm(JBatch, constCoeff, cellLIDs, A);
std::cerr << "============================= Doing quad integration xx =========== " << std::endl;
qxx.transformTwoForm(JBatch, &(varCoeff[0]), cellLIDs , Bxx);
std::cerr << "============================= Doing quad integration yy =========== " << std::endl;
qyy.transformTwoForm(JBatch, &(varCoeff[0]), cellLIDs , Byy);
std::cerr << "============================= Done integration =========== " << std::endl;
std::cerr << tab << "transformed reference element" << std::endl;
std::cerr << tab << "{";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<ref.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
std::cerr << (*A)[r + ref.nNodesTest()*c];
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
std::cerr << tab << "transformed Q_xx" << std::endl;
std::cerr << tab << "{";
for (int r=0; r<qxx.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<qxx.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
int i = r + qxx.nNodesTest()*c;
double lapl = (*Bxx)[i];
std::cerr << lapl;
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
std::cerr << tab << "transformed Q_yy" << std::endl;
std::cerr << tab << "{";
for (int r=0; r<qxx.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<qxx.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
int i = r + qxx.nNodesTest()*c;
double lapl = (*Byy)[i];
std::cerr << lapl;
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
}
TimeMonitor::summarize();
}
catch(std::exception& e)
{
std::cerr << e.what() << std::endl;
}
}
void PeanoMesh3D::getJacobians(int cellDim, const Array<int>& cellLID,
CellJacobianBatch& jBatch) const
{
//printf("cellDim:%d _uniqueResolution:%f ",cellDim, _uniqueResolution);
SUNDANCE_VERB_HIGH("getJacobians()");
TEUCHOS_TEST_FOR_EXCEPTION(cellDim < 0 || cellDim > spatialDim(), std::logic_error,
"cellDim=" << cellDim << " is not in expected range [0, " << spatialDim() << "]");
int nCells = cellLID.size();
int tmp_index , tmp;
int tmp_index1 , tmp_index2;
Point pnt(0.0,0.0,0.0);
Point pnt1(0.0,0.0,0.0);
Point pnt2(0.0,0.0,0.0);
jBatch.resize(cellLID.size(), spatialDim(), cellDim);
if (cellDim < spatialDim()) // they need the Jacobian of a lower dinemsional element
{
//printf("PeanoMesh3D::getJacobians() cellDim < spatialDim() \n");
for (int i=0; i<nCells; i++)
{
//printf("PeanoMesh3D::getJacobian() cellDim < spatialDim() cellDim:%d , ret:%f \n",cellDim , _uniqueResolution);
double* detJ = jBatch.detJ(i);
switch(cellDim)
{
case 0: *detJ = 1.0;
break;
case 1:
tmp_index = this->facetLID(cellDim, cellLID[i] , 0 , 0 , tmp );
tmp_index1= this->facetLID(cellDim, cellLID[i] , 0 , 1 , tmp );
pnt = nodePosition(tmp_index);
pnt1 = nodePosition(tmp_index1);
pnt = pnt1 - pnt;
*detJ = sqrt(pnt * pnt); // the length of the edge
break;
case 2:{
tmp_index = this->facetLID(cellDim, cellLID[i] , 0 , 0 , tmp );
tmp_index1= this->facetLID(cellDim, cellLID[i] , 0 , 1 , tmp );
tmp_index2= this->facetLID(cellDim, cellLID[i] , 0 , 2 , tmp );
pnt = nodePosition(tmp_index);
pnt1 = nodePosition(tmp_index1);
pnt2 = nodePosition(tmp_index2);
Point directedArea = cross( pnt1 - pnt , pnt2 - pnt );
*detJ = sqrt(directedArea * directedArea); // the are of the face
break;}
default:
TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "impossible switch value "
"cellDim=" << cellDim << " in PeanoMesh3D::getJacobians()");
}
}
}else{ // they request the complete Jacoby matrix for this bunch of elements
//Array<double> J(cellDim*cellDim);
SUNDANCE_VERB_HIGH("cellDim == spatialDim()");
for (unsigned int i=0; i<(unsigned int)cellLID.size(); i++)
{
//printf("PeanoMesh3D::getJacobian() cellDim == spatialDim() cellDim:%d , ret:%f \n",cellDim , _uniqueResolution);
double* J = jBatch.jVals(i);
switch(cellDim)
{
case 3:
J[0] = _peanoMesh->returnResolution(0);
J[1] = 0.0; J[2] = 0.0; J[3] = 0.0;
J[4] = _peanoMesh->returnResolution(1);
J[5] = 0.0; J[6] = 0.0; J[7] = 0.0;
J[8] = _peanoMesh->returnResolution(2); // the Jacobi of the tet
break;
default:
TEUCHOS_TEST_FOR_EXCEPTION(true, std::logic_error, "impossible switch value "
"cellDim=" << cellDim
<< " in PeanoMesh3D::getJacobians()");
}
}
}
}
int main(int argc, char** argv)
{
try
{
GlobalMPISession session(&argc, &argv);
TimeMonitor t(totalTimer());
int pMax = 1;
int dim=2;
CellType cellType = TriangleCell;
Point a = Point(0.0, 0.0);
Point b = Point(1.0, 0.0);
Point c = Point(0.0, 1.0);
CellJacobianBatch JBatch;
JBatch.resize(1, 2, 2);
double* J = JBatch.jVals(0);
J[0] = b[0] - a[0];
J[1] = c[0] - a[0];
J[2] = b[1] - a[1];
J[3] = c[1] - a[1];
bool isInternalBdry=false;
/* ------ evaluate Lagrange and FIAT-Lagrange at the vertices */
Array<Point> verts = tuple(a,b,c);
BasisFamily lagrange = new Lagrange(1);
BasisFamily fiatLagrange = new Lagrange(1);
MultiIndex d0(0,0,0);
MultiIndex dx(1,0,0);
MultiIndex dy(0,1,0);
Array<Array<Array<double> > > result;
Array<int> dummy;
std::cerr << "------ Evaluating bases at vertices ----------" << std::endl
<< std::endl;
std::cerr << "Evaluating phi(vert) with FIAT-Lagrange" << std::endl;
fiatLagrange.ptr()->refEval(cellType, verts, d0, result);
std::cerr << "results = " << result << std::endl << std::endl;
std::cerr << "Evaluating phi(vert) with Lagrange" << std::endl;
lagrange.ptr()->refEval(cellType, verts, d0, result);
std::cerr << "results = " << result << std::endl << std::endl;
std::cerr << std::endl ;
std::cerr << "Evaluating Dx*phi(vert) with FIAT-Lagrange" << std::endl;
fiatLagrange.ptr()->refEval(cellType, verts, dx, result);
std::cerr << "results = " << result << std::endl << std::endl;
std::cerr << "Evaluating Dx*phi(vert) with Lagrange" << std::endl;
lagrange.ptr()->refEval(cellType, verts, dx, result);
std::cerr << "results = " << result << std::endl << std::endl;
std::cerr << std::endl ;
std::cerr << "Evaluating Dy*phi(vert) with FIAT-Lagrange" << std::endl;
fiatLagrange.ptr()->refEval(cellType, verts, dy, result);
std::cerr << "results = " << result << std::endl << std::endl;
std::cerr << "Evaluating Dy*phi(vert) with Lagrange" << std::endl;
lagrange.ptr()->refEval(cellType, verts, dy, result);
std::cerr << "results = " << result << std::endl << std::endl;
/* --------- evaluate integrals over elements ----------- */
RCP<Array<double> > A = rcp(new Array<double>());
QuadratureFamily quad = new GaussianQuadrature(4);
Array<double> quadWeights;
Array<Point> quadPts;
quad.getPoints(cellType, quadPts, quadWeights);
int nQuad = quadPts.size();
Array<double> coeff(nQuad);
for (int i=0; i<nQuad; i++)
{
double s = quadPts[i][0];
double t = quadPts[i][1];
double x = a[0] + J[0]*s + J[1]*t;
double y = a[1] + J[2]*s + J[3]*t;
coeff[i] = x*y;
}
const double* const f = &(coeff[0]);
std::cerr << std::endl << std::endl
<< "---------------- One-forms --------------------"
<< std::endl << std::endl;
for (int p=1; p<=pMax; p++)
{
BasisFamily P = new Lagrange(p);
for (int dp=0; dp<=1; dp++)
{
if (dp > p) continue;
Tabs tab0;
std::cerr << tab0 << "test function deriv order = " << dp << std::endl;
int numTestDir = 1;
if (dp==1) numTestDir = dim;
for (int t=0; t<numTestDir; t++)
{
int alpha = t;
Tabs tab;
QuadratureIntegral ref(dim, cellType, dim, cellType, P, alpha, dp, quad, isInternalBdry);
A->resize(ref.nNodesTest());
ref.transformOneForm(JBatch, JBatch, dummy, f, A);
std::cerr << tab << "test deriv direction =" << t << std::endl;
std::cerr << tab << "transformed local vector: " << std::endl;
std::cerr << tab << "{";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << (*A)[r];
}
std::cerr << "}" << std::endl << std::endl;
}
}
}
std::cerr << std::endl << std::endl
<< "---------------- Two-forms --------------------"
<< std::endl << std::endl;
for (int p=1; p<=pMax; p++)
{
BasisFamily P = new Lagrange(p);
for (int q=1; q<=pMax; q++)
{
BasisFamily Q = new Lagrange(q);
for (int dp=0; dp<=1; dp++)
{
if (dp > p) continue;
Tabs tab0;
std::cerr << tab0 << "test function deriv order = " << dp << std::endl;
for (int dq=0; dq<=1; dq++)
{
if (dq > q) continue;
Tabs tab1;
std::cerr << tab1
<< "unk function deriv order = " << dq << std::endl;
int numTestDir = 1;
if (dp==1) numTestDir = dim;
for (int t=0; t<numTestDir; t++)
{
int alpha = t;
int numUnkDir = 1;
if (dq==1) numUnkDir = dim;
for (int u=0; u<numUnkDir; u++)
{
Tabs tab;
int beta = u;
QuadratureIntegral ref(dim, cellType, dim, cellType, P, alpha,
dp, Q, beta, dq, quadd, isInternalBdry);
A->resize(ref.nNodesTest()*ref.nNodesUnk());
ref.transformTwoForm(JBatch, JBatch, dummy, f, A);
std::cerr << tab << "test deriv direction =" <<
t << ", unk deriv direction =" << u << std::endl;
std::cerr << tab << "transformed local stiffness matrix" << std::endl;
std::cerr << tab << "{";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<ref.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
std::cerr << chop((*A)[r + ref.nNodesTest()*c]);
}
std::cerr << "}";
}
std::cerr << "}" << std::endl << std::endl;
}
}
}
}
}
}
TimeMonitor::summarize();
}
catch(std::exception& e)
{
std::cerr << e.what() << std::endl;
}
}
int main(int argc, char** argv)
{
int stat = 0;
int verb=1;
try
{
GlobalMPISession session(&argc, &argv);
TimeMonitor t(totalTimer());
int pMax = 2;
int dim=2;
bool isInternalBdry = false;
Utils::setChopVal(1.0e-14);
CellType cellType = TriangleCell;
// Point a = Point(1.0, 1.0);
// Point b = Point(1.2, 1.6);
// Point c = Point(0.8, 1.3);
Point a = Point(0.0, 0.0);
Point b = Point(1.0, 0.0);
Point c = Point(0.0, 1.0);
Point d = Point(0.1, 0.1);
Point e = Point(1.0, 0.0);
Point f = Point(0.0, 1.0);
int nCells = 2;
CellJacobianBatch JBatch;
JBatch.resize(nCells, 2, 2);
double* J = JBatch.jVals(0);
J[0] = b[0] - a[0];
J[1] = c[0] - a[0];
J[2] = b[1] - a[1];
J[3] = c[1] - a[1];
J[4] = e[0] - d[0];
J[5] = f[0] - d[0];
J[6] = e[1] - d[1];
J[7] = f[1] - d[1];
Array<int> dummy;
double coeff = 1.0;
RCP<Array<double> > A = rcp(new Array<double>());
RCP<Array<double> > B = rcp(new Array<double>());
QuadratureFamily q4 = new GaussianQuadrature(4);
int nErrors = 0;
std::cerr << std::endl << std::endl
<< "---------------- One-forms --------------------"
<< std::endl << std::endl;
for (int p=0; p<=pMax; p++)
{
BasisFamily P = new Lagrange(p);
for (int dp=0; dp<=1; dp++)
{
if (dp > p) continue;
int numTestDir = 1;
if (dp==1) numTestDir = dim;
for (int t=0; t<numTestDir; t++)
{
int alpha = t;
Tabs tab;
ParametrizedCurve curve = new DummyParametrizedCurve();
MeshType meshType = new BasicSimplicialMeshType();
MeshSource mesher = new PartitionedLineMesher(0.0, 1.0, 10, meshType);
Mesh mesh = mesher.getMesh();
RCP<Array<int> > cellLIDs;
RefIntegral ref(dim, cellType, dim, cellType, P, alpha, dp, q4 , isInternalBdry, curve, mesh ,verb);
A->resize(JBatch.numCells() * ref.nNodes());
for (int ai=0; ai<A->size(); ai++) (*A)[ai]=0.0;
ref.transformOneForm(JBatch, JBatch, dummy, cellLIDs , coeff, A);
std::cerr << tab << "transformed reference element" << std::endl;
if (dp>0) std::cerr << tab << "test diff direction=" << t << std::endl;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "{";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << Utils::chop((*A)[cell*ref.nNodesTest()+r]);
}
std::cerr << "}" << std::endl;
}
QuadratureIntegral quad(dim, cellType, dim, cellType, P, alpha, dp, q4, isInternalBdry, curve, mesh, verb);
Array<double> quadCoeff(2*quad.nQuad(), 1.0);
B->resize(JBatch.numCells() * quad.nNodes());
for (int ai=0; ai<B->size(); ai++) (*B)[ai]=0.0;
quad.transformOneForm(JBatch, JBatch, dummy, cellLIDs , &(quadCoeff[0]), B);
std::cerr << tab << "transformed quad element" << std::endl;
if (dp>0) std::cerr << tab << "test diff direction =" << t << std::endl;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "{";
for (int r=0; r<quad.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << Utils::chop((*B)[cell*ref.nNodesTest()+r]);
}
std::cerr << "}" << std::endl;
}
std::cerr << tab << "MISFIT quad-ref" << std::endl;
std::cerr << tab << "test diff order =" << dp << std::endl;
if (dp>0) std::cerr << tab << "test diff direction =" << t << std::endl;
bool OK = true;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "{";
for (int r=0; r<quad.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
int i = cell*ref.nNodesTest()+r;
double err = fabs(Utils::chop((*B)[i] - (*A)[i]));
if (err > 1.0e-14)
{
OK = false;
}
std::cerr << err;
}
std::cerr << "}" << std::endl;
}
if (!OK)
{
nErrors ++;
std::cerr << "ERROR DETECTED!!! p=" << p
<< " t=" << t << std::endl;
}
}
}
}
std::cerr << std::endl << std::endl
<< "---------------- Two-forms --------------------"
<< std::endl << std::endl;
for (int p=0; p<=pMax; p++)
{
BasisFamily P = new Lagrange(p);
for (int dp=0; dp<=1; dp++)
{
if (dp > p) continue;
int numTestDir = 1;
if (dp==1) numTestDir = dim;
for (int q=0; q<=pMax; q++)
{
BasisFamily Q = new Lagrange(q);
for (int dq=0; dq<=1; dq++)
{
if (dq > q) continue;
for (int t=0; t<numTestDir; t++)
{
int alpha = t;
int numUnkDir = 1;
if (dq==1) numUnkDir = dim;
for (int u=0; u<numUnkDir; u++)
{
ParametrizedCurve curve = new DummyParametrizedCurve();
MeshType meshType = new BasicSimplicialMeshType();
MeshSource mesher = new PartitionedLineMesher(0.0, 1.0, 10, meshType);
Mesh mesh = mesher.getMesh();
QuadratureFamily quad_1 = new GaussianQuadrature(2);
RCP<Array<int> > cellLIDs;
Tabs tab;
// if (p==0 || q==0 || dp==0 || dq==0 || u==1
// || t==1) continue;
int beta = u;
RefIntegral ref(dim, cellType, dim, cellType, P, alpha,
dp, Q, beta, dq, quad_1 , isInternalBdry, curve , mesh , verb);
A->resize(JBatch.numCells() * ref.nNodes());
for (int ai=0; ai<A->size(); ai++) (*A)[ai]=0.0;
ref.transformTwoForm(JBatch, JBatch, dummy, cellLIDs , coeff, A);
std::cerr << tab << "transformed ref element" << std::endl;
std::cerr << tab << "test diff order = " << dp << std::endl;
if (dp>0) std::cerr << tab << "t=dx(" << t << ")" << std::endl;
std::cerr << tab << "unk diff order = " << dq << std::endl;
if (dq>0) std::cerr << tab << "u=dx(" << u << ")" << std::endl;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "cell=" << cell << " {";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<ref.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
std::cerr << Utils::chop((*A)[r + ref.nNodesTest()*(c + cell*ref.nNodesUnk())]);
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
}
QuadratureIntegral quad(dim, cellType, dim, cellType, P, alpha,
dp, Q, beta, dq, q4, isInternalBdry,curve , mesh , verb);
Array<double> quadCoeff(2*quad.nQuad(), 1.0);
B->resize(JBatch.numCells() * quad.nNodes());
for (int ai=0; ai<B->size(); ai++) (*B)[ai]=0.0;
quad.transformTwoForm(JBatch, JBatch, dummy, cellLIDs , &(quadCoeff[0]), B);
std::cerr << tab << "transformed quad element" << std::endl;
std::cerr << tab << "test diff order = " << dp << std::endl;
if (dp>0) std::cerr << tab << "t=dx(" << t << ")" << std::endl;
std::cerr << tab << "unk diff order = " << dq << std::endl;
if (dq>0) std::cerr << tab << "u=dx(" << u << ")" << std::endl;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "cell=" << cell << " {";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<ref.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
std::cerr << Utils::chop((*B)[r + ref.nNodesTest()*(c + cell*ref.nNodesUnk())]);
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
}
bool OK = true;
std::cerr << tab << "MISMATCH quad - ref" << std::endl;
std::cerr << tab << "test diff order = " << dp << std::endl;
if (dp>0) std::cerr << tab << "t=dx(" << t << ")" << std::endl;
std::cerr << tab << "unk diff order = " << dq << std::endl;
if (dq>0) std::cerr << tab << "u=dx(" << u << ")" << std::endl;
for (int cell=0; cell<nCells; cell++)
{
std::cerr << tab << "cell #" << cell << " {";
for (int r=0; r<ref.nNodesTest(); r++)
{
if (r!=0) std::cerr << ", ";
std::cerr << "{";
for (int c=0; c<ref.nNodesUnk(); c++)
{
if (c!=0) std::cerr << ", ";
int i = r + ref.nNodesTest()*(c + cell*ref.nNodesUnk());
double err = fabs(Utils::chop((*B)[i] - (*A)[i]));
if (err > 1.0e-14) OK = false;
std::cerr << err;
}
std::cerr << "}";
}
std::cerr << "}" << std::endl;
}
if (!OK)
{
nErrors ++;
std::cerr << "ERROR DETECTED!!! p=" << p
<< " dp=" << dp << " t=" << t
<< " q=" << q << " dq=" << dq
<< " u=" << u << std::endl;
}
std::cerr << std::endl << std::endl << std::endl << std::endl;
}
}
}
}
}
}
std::cerr << "total quadrature flops: " << QuadratureIntegral::totalFlops()
<< std::endl;
std::cerr << "total ref integration flops: " << RefIntegral::totalFlops()
<< std::endl;
if (nErrors == 0)
{
std::cerr << "Transformed integral test PASSED" << std::endl;
}
else
{
stat = -1;
std::cerr << "Transformed integral test FAILED" << std::endl;
}
TimeMonitor::summarize();
}
catch(std::exception& e)
{
stat = -1;
std::cerr << "Transformed integral test FAILED" << std::endl;
std::cerr << e.what() << std::endl;
}
return stat;
}
bool IntegralGroup
::evaluate(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol,
const Array<int>& isLocalFlag,
const Array<int>& facetIndex,
const RCP<Array<int> >& cellLIDs,
const Array<RCP<EvalVector> >& vectorCoeffs,
const Array<double>& constantCoeffs,
RCP<Array<double> >& A) const
{
TimeMonitor timer(integrationTimer());
Tabs tab0(0);
SUNDANCE_MSG1(integrationVerb(), tab0 << "evaluating integral group with "
<< integrals_.size() << " integrals");
SUNDANCE_MSG3(integrationVerb(),
tab0 << "num integration cells = " << JVol.numCells());
SUNDANCE_MSG3(integrationVerb(),
tab0 << "num nodes in output = " << integrals_[0]->nNodes());
/* initialize the return vector */
if (integrals_[0]->nNodes() == -1) A->resize(1);
else A->resize(JVol.numCells() * integrals_[0]->nNodes());
double* aPtr = &((*A)[0]);
int n = A->size();
for (int i=0; i<n; i++) aPtr[i] = 0.0;
SUNDANCE_MSG5(integrationVerb(), tab0 << "begin A=");
if (integrationVerb() >=5) writeTable(Out::os(), tab0, *A, 6);
/* do the integrals */
for (int i=0; i<integrals_.size(); i++)
{
Tabs tab1;
SUNDANCE_MSG1(integrationVerb(), tab1 << "group member i=" << i
<< " of " << integrals_.size());
Tabs tab2;
const RefIntegral* ref
= dynamic_cast<const RefIntegral*>(integrals_[i].get());
const QuadratureIntegral* quad
= dynamic_cast<const QuadratureIntegral*>(integrals_[i].get());
const MaximalQuadratureIntegral* maxQuad
= dynamic_cast<const MaximalQuadratureIntegral*>(integrals_[i].get());
const CurveQuadratureIntegral* curveQuad
= dynamic_cast<const CurveQuadratureIntegral*>(integrals_[i].get());
if (ref!=0)
{
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Integrating term group " << i
<< " by transformed reference integral");
double f = constantCoeffs[resultIndices_[i]];
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Coefficient is " << f);
ref->transform(JTrans, JVol, isLocalFlag, facetIndex, cellLIDs , f, A);
}
else if (quad != 0)
{
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Integrating term group " << i
<< " by quadrature");
TEST_FOR_EXCEPTION(vectorCoeffs[resultIndices_[i]]->length()==0,
InternalError,
"zero-length coeff vector detected in "
"quadrature integration branch of "
"IntegralGroup::evaluate(). std::string value is ["
<< vectorCoeffs[resultIndices_[i]]->str()
<< "]");
Tabs tab3;
SUNDANCE_MSG3(integrationVerb(),
tab3 << "coefficients are " << vectorCoeffs[resultIndices_[i]]->str());
const double* const f = vectorCoeffs[resultIndices_[i]]->start();
quad->transform(JTrans, JVol, isLocalFlag, facetIndex, cellLIDs , f, A);
}
else if (maxQuad != 0)
{
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Integrating term group " << i
<< " by quadrature");
TEST_FOR_EXCEPTION(vectorCoeffs[resultIndices_[i]]->length()==0,
InternalError,
"zero-length coeff vector detected in "
"quadrature integration branch of "
"IntegralGroup::evaluate(). std::string value is ["
<< vectorCoeffs[resultIndices_[i]]->str()
<< "]");
Tabs tab3;
SUNDANCE_MSG3(integrationVerb(),
tab3 << "coefficients are " << vectorCoeffs[resultIndices_[i]]->str());
const double* const f = vectorCoeffs[resultIndices_[i]]->start();
maxQuad->transform(JTrans, JVol, isLocalFlag, facetIndex, cellLIDs , f, A);
}
else if (curveQuad != 0)
{
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Integrating term group " << i
<< " by curve integral (quadrature by default) , result index: " << resultIndices_[i]);
double f_const = 0.0;
if (constantCoeffs.size() > resultIndices_[i]){
f_const = constantCoeffs[resultIndices_[i]];
}
SUNDANCE_MSG2(integrationVerb(),
tab2 << "Coefficient is " << f_const);
// set this
if (vectorCoeffs.size() > resultIndices_[i]){
Tabs tab3;
double* const f = vectorCoeffs[resultIndices_[i]]->start();
SUNDANCE_MSG3(integrationVerb(),
tab3 << "coefficients are " << vectorCoeffs[resultIndices_[i]]->str());
curveQuad->transform(JTrans, JVol, isLocalFlag, facetIndex, cellLIDs , f_const , f , A);
} else{
const double* f_null = 0;
curveQuad->transform(JTrans, JVol, isLocalFlag, facetIndex, cellLIDs , f_const , f_null , A);
}
}
else
{
TEST_FOR_EXCEPT(1);
}
SUNDANCE_MSG4(integrationVerb(),
tab1 << "i=" << i << " integral values=");
if (integrationVerb() >=4) writeTable(Out::os(), tab1, *A, 6);
}
SUNDANCE_MSG1(integrationVerb(), tab0 << "done integral group");
return true;
}
void MaximalQuadratureIntegral::transformTwoForm(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol,
const Array<int>& facetIndex,
const RCP<Array<int> >& cellLIDs,
const double* const coeff,
RCP<Array<double> >& A) const
{
TimeMonitor timer(maxCellQuadrature2Timer());
Tabs tabs;
TEUCHOS_TEST_FOR_EXCEPTION(order() != 2, std::logic_error,
"MaximalQuadratureIntegral::transformTwoForm() called for form "
"of order " << order());
SUNDANCE_MSG2(integrationVerb(), tabs << "doing one form by quadrature");
int nQuad = quadWeights_.size();
const Array<int>* cellLID = cellLIDs.get();
/* If the derivative orders are zero, the only thing to be done
* is to multiply by the cell's Jacobian determinant and sum over the
* quad points */
if (testDerivOrder() == 0 && unkDerivOrder() == 0)
{
double* aPtr = &((*A)[0]);
double* coeffPtr = (double*) coeff;
int offset = 0 ;
const Array<double>& w = W_;
if (globalCurve().isCurveValid())
{
int fc = 0;
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve;
for (int c=0; c<JVol.numCells(); c++, offset+=nNodes())
{
double detJ = fabs(JVol.detJ()[c]);
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
/* call the special integration routine */
quad_.getAdaptedWeights(cellType(), dim(), (*cellLID)[c] , fc ,
mesh() , globalCurve() , quadPointsTmp , quadWeightsTmp , isCutByCurve );
if (isCutByCurve)
{
Array<double> wi;
wi.resize(nQuad * nNodesTest() *nNodesUnk() ); //recalculate the special weights
for (int ii = 0 ; ii < wi.size() ; ii++ ) wi[ii] = 0.0;
/* Good coding practice: always use braces { } when nesting loops even if
* there's only one line. Otherwise, if someone inserts a new line
* (e.g., a print statement) it can totally change the code logic */
for (int nt = 0 ; nt < nNodesTest() ; nt++)
{
for (int nu=0; nu<nNodesUnk(); nu++)
{
for (int q=0 ; q < quadWeightsTmp.size() ; q++)
{
//Indexing: unkNode + nNodesUnk()*(testNode + nNodesTest()*(unkDerivDir + nRefDerivUnk()*(testDerivDir + nRefDerivTest()*q)))
wi[nu + nNodesUnk()*(nt + nNodesTest()*q)] +=
chop(quadWeightsTmp[q] * W_ACI_F2_[q][0][nt][0][nu]);
}
}
}
for (int q=0; q<nQuad; q++, coeffPtr++)
{
double f = (*coeffPtr)*detJ;
for (int n=0; n<nNodes(); n++)
{
aPtr[offset+n] += f*wi[n + nNodes()*q];
}
}
}// end isCutByCurve
else
{
for (int q=0; q<nQuad; q++, coeffPtr++)
{
double f = (*coeffPtr)*detJ;
for (int n=0; n<nNodes(); n++)
{
aPtr[offset+n] += f*w[n + nNodes()*q];
}
}
}
}
}
else // No ACI
{
for (int c=0; c<JVol.numCells(); c++, offset+=nNodes())
{
double detJ = fabs(JVol.detJ()[c]);
for (int q=0; q<nQuad; q++, coeffPtr++)
{
double f = (*coeffPtr)*detJ;
for (int n=0; n<nNodes(); n++)
{
aPtr[offset+n] += f*w[n + nNodes()*q];
}
}
}
}
addFlops( JVol.numCells() * (1 + nQuad * (1 + 2*nNodes())) );
}
else
{
createTwoFormTransformationMatrix(JTrans, JVol);
double* GPtr;
if (testDerivOrder() == 0)
{
GPtr = &(G(beta())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix=" << G(beta()));
}
else if (unkDerivOrder() == 0)
{
GPtr = &(G(alpha())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix=" << G(alpha()));
}
else
{
GPtr = &(G(alpha(), beta())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix="
<< G(alpha(),beta()));
}
transformSummingFirst(JTrans.numCells(), facetIndex, cellLIDs, GPtr, coeff, A);
}
}
void MaximalQuadratureIntegral::transformOneForm(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol,
const Array<int>& facetIndex,
const RCP<Array<int> >& cellLIDs,
const double* const coeff,
RCP<Array<double> >& A) const
{
TimeMonitor timer(maxCellQuadrature1Timer());
Tabs tabs;
TEUCHOS_TEST_FOR_EXCEPTION(order() != 1, std::logic_error,
"MaximalQuadratureIntegral::transformOneForm() called for form "
"of order " << order());
SUNDANCE_MSG2(integrationVerb(), tabs << "doing one form by quadrature");
int flops = 0;
const Array<int>* cellLID = cellLIDs.get();
int nQuad = quadWeights_.size();
/* If the derivative order is zero, the only thing to be done
* is to multiply by the cell's Jacobian determinant and sum over the
* quad points */
if (testDerivOrder() == 0)
{
double* aPtr = &((*A)[0]);
SUNDANCE_MSG5(integrationVerb(), tabs << "input A = ");
if (integrationVerb() >= 5) writeTable(Out::os(), tabs, *A, 6);
double* coeffPtr = (double*) coeff;
int offset = 0 ;
const Array<double>& w = W_;
if (globalCurve().isCurveValid()) /* ----- ACI logic ---- */
{
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve;
for (int c=0; c<JVol.numCells(); c++, offset+=nNodes())
{
Tabs tab2;
double detJ = fabs(JVol.detJ()[c]);
int fc = 0;
SUNDANCE_MSG4(integrationVerb(), tab2 << "c=" << c << " detJ=" << detJ);
/* call the special integration routine */
quad_.getAdaptedWeights(cellType(), dim(), (*cellLID)[c] , fc ,
mesh() , globalCurve() , quadPointsTmp , quadWeightsTmp , isCutByCurve );
if (isCutByCurve)
{
Array<double> wi;
wi.resize(nQuad * nNodes()); //recalculate the special weights
for (int ii = 0 ; ii < wi.size() ; ii++ ) wi[ii] = 0.0;
for (int n = 0 ; n < nNodes() ; n++)
{
for (int q=0 ; q < quadWeightsTmp.size() ; q++)
{
//Indexing: testNode + nNodesTest()*(testDerivDir + nRefDerivTest()*q)
wi[n + nNodes()*q] +=
chop(quadWeightsTmp[q] * W_ACI_F1_[q][0][n]);
}
}
// if it is cut by curve then use this vector
for (int q=0; q<nQuad; q++, coeffPtr++)
{
double f = (*coeffPtr)*detJ;
for (int n=0; n<nNodes(); n++)
{
aPtr[offset+n] += f*wi[n + nNodes()*q];
}
}
} // end isCutByCurve
else
{
for (int q=0; q<nQuad; q++, coeffPtr++)
{
double f = (*coeffPtr)*detJ;
for (int n=0; n<nNodes(); n++)
{
aPtr[offset+n] += f*w[n + nNodes()*q];
}
}
}
if (integrationVerb() >= 4)
{
Out::os() << tab2 << "integration results on cell:" << std::endl;
Out::os() << tab2 << setw(10) << "n" << setw(12) << "I_n" << std::endl;
for (int n=0; n<nNodes(); n++)
{
Out::os() << tab2 << setw(10) << n
<< setw(12) << setprecision(6) << aPtr[offset+n] << std::endl;
}
}
}
}
else /* -------- No ACI -------- */
{
for (int c=0; c<JVol.numCells(); c++, offset+=nNodes())
{
Tabs tab2;
double detJ = fabs(JVol.detJ()[c]);
SUNDANCE_MSG4(integrationVerb(), tab2 << "c=" << c << " detJ=" << detJ);
for (int q=0; q<nQuad; q++, coeffPtr++)
{
Tabs tab3;
double f = (*coeffPtr)*detJ;
SUNDANCE_MSG4(integrationVerb(), tab3 << "q=" << q << " coeff=" <<
*coeffPtr << " coeff*detJ=" << f);
for (int n=0; n<nNodes(); n++)
{
Tabs tab4;
SUNDANCE_MSG4(integrationVerb(), tab4 << "n=" << n << " w=" <<
w[n + nNodes()*q]);
aPtr[offset+n] += f*w[n + nNodes()*q];
}
}
if (integrationVerb() >= 4)
{
Out::os() << tab2 << "integration results on cell:" << std::endl;
Out::os() << tab2 << setw(10) << "n" << setw(12) << "I_n" << std::endl;
for (int n=0; n<nNodes(); n++)
{
Out::os() << tab2 << setw(10) << n
<< setw(12) << setprecision(6) << aPtr[offset+n] << std::endl;
}
}
}
}
SUNDANCE_MSG5(integrationVerb(), tabs << "output A = ");
if (integrationVerb() >= 5) writeTable(Out::os(), tabs, *A, 6);
}
else
{
/* If the derivative order is nonzero, then we have to do a transformation. */
createOneFormTransformationMatrix(JTrans, JVol);
SUNDANCE_MSG4(transformVerb(),
Tabs() << "transformation matrix=" << G(alpha()));
double* GPtr = &(G(alpha())[0]);
transformSummingFirst(JVol.numCells(), facetIndex, cellLIDs, GPtr, coeff, A);
}
addFlops(flops);
}
void MaximalQuadratureIntegral
::transformZeroForm(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol,
const Array<int>& isLocalFlag,
const Array<int>& facetIndex,
const RCP<Array<int> >& cellLIDs,
const double* const coeff,
RCP<Array<double> >& A) const
{
TimeMonitor timer(maxCellQuadrature0Timer());
Tabs tabs;
SUNDANCE_MSG1(integrationVerb(), tabs << "doing zero form by quadrature");
TEUCHOS_TEST_FOR_EXCEPTION(order() != 0, std::logic_error,
"MaximalQuadratureIntegral::transformZeroForm() called "
"for form of order " << order());
TEUCHOS_TEST_FOR_EXCEPTION( (int) isLocalFlag.size() != 0
&& (int) isLocalFlag.size() != JVol.numCells(),
std::runtime_error,
"mismatch between isLocalFlag.size()=" << isLocalFlag.size()
<< " and JVol.numCells()=" << JVol.numCells());
bool checkLocalFlag = (int) isLocalFlag.size() != 0;
const Array<int>* cellLID = cellLIDs.get();
int nQuad = quadWeights_.size();
double& a = (*A)[0];
SUNDANCE_MSG5(integrationVerb(), tabs << "input A=");
if (integrationVerb() >= 5) writeTable(Out::os(), tabs, *A, 6);
double* coeffPtr = (double*) coeff;
const Array<double>& w = W_;
if (globalCurve().isCurveValid()) /* ---------- ACI ------------- */
{
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
int fc = 0;
bool isCutByCurve;
for (int c=0; c<JVol.numCells(); c++)
{
if (checkLocalFlag && !isLocalFlag[c])
{
coeffPtr += nQuad;
continue;
}
double detJ = fabs(JVol.detJ()[c]);
quad_.getAdaptedWeights(cellType(), dim(), (*cellLID)[c], fc ,mesh(),
globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
/* if we have special weights then do the same as before */
if (isCutByCurve)
{
for (int q=0; q<nQuad; q++, coeffPtr++)
{
a += quadWeightsTmp[q]*(*coeffPtr)*detJ;
}
} // end cut by curve
else
{
for (int q=0; q<nQuad; q++, coeffPtr++)
{
a += w[q]*(*coeffPtr)*detJ;
}
}
}
}
else /* --------- No ACI ------------- */
{
for (int c=0; c<JVol.numCells(); c++)
{
if (checkLocalFlag && !isLocalFlag[c])
{
coeffPtr += nQuad;
continue;
}
double detJ = fabs(JVol.detJ()[c]);
for (int q=0; q<nQuad; q++, coeffPtr++)
{
a += w[q]*(*coeffPtr)*detJ;
}
}
}
SUNDANCE_MSG5(integrationVerb(), tabs << "output A = ");
if (integrationVerb() >= 5) writeTable(Out::os(), tabs, *A, 6);
SUNDANCE_MSG1(integrationVerb(), tabs << "done zero form");
}
void ElementIntegral
::createTwoFormTransformationMatrix(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol) const
{
TimeMonitor timer(transCreationTimer());
Tabs tab;
int flops = 0;
int maxDim = JTrans.cellDim();
int cellDim = JVol.cellDim();
if (testDerivOrder() == 1 && unkDerivOrder() == 1)
{
Tabs tab2;
if (transformationMatrixIsValid(alpha(), beta())) return;
transformationMatrixIsValid(alpha(), beta()) = true;
G(alpha(), beta()).resize(JTrans.numCells() * JTrans.cellDim() * JTrans.cellDim());
double* GPtr = &(G(alpha(),beta())[0]);
int k = 0;
for (int c=0; c<JTrans.numCells(); c++)
{
static Array<double> invJ;
JTrans.getInvJ(c, invJ);
double detJ = fabs(JVol.detJ()[c]);
for (int gamma=0; gamma<maxDim; gamma++)
{
for (int delta=0; delta<maxDim; delta++, k++)
{
GPtr[k] = detJ*invJ[alpha() + gamma*maxDim]
* invJ[beta() + maxDim*delta];
}
}
}
flops = 2 * JTrans.numCells() * maxDim * maxDim + JTrans.numCells();
}
else if (testDerivOrder() == 1 && unkDerivOrder() == 0)
{
if (transformationMatrixIsValid(alpha())) return;
transformationMatrixIsValid(alpha()) = true;
G(alpha()).resize(JTrans.numCells() * JTrans.cellDim());
int k = 0;
double* GPtr = &(G(alpha())[0]);
for (int c=0; c<JTrans.numCells(); c++)
{
static Array<double> invJ;
JTrans.getInvJ(c, invJ);
double detJ = fabs(JVol.detJ()[c]);
for (int gamma=0; gamma<maxDim; gamma++,k++)
{
GPtr[k] = detJ*invJ[alpha() + maxDim * gamma];
}
}
flops = JTrans.numCells() * maxDim + JTrans.numCells();
}
else
{
if (transformationMatrixIsValid(beta())) return;
transformationMatrixIsValid(beta()) = true;
G(beta()).resize(JTrans.numCells() * JTrans.cellDim());
int k = 0;
double* GPtr = &(G(beta())[0]);
for (int c=0; c<JTrans.numCells(); c++)
{
static Array<double> invJ;
JTrans.getInvJ(c, invJ);
double detJ = fabs(JVol.detJ()[c]);
for (int gamma=0; gamma<maxDim; gamma++,k++)
{
GPtr[k] = detJ*invJ[beta() + maxDim * gamma];
}
}
flops = JTrans.numCells() * maxDim + JTrans.numCells();
}
addFlops(flops);
}
void RefIntegral::transformTwoForm(const CellJacobianBatch& JTrans,
const CellJacobianBatch& JVol,
const Array<int>& facetIndex,
const RCP<Array<int> >& cellLIDs,
const double& coeff,
RCP<Array<double> >& A) const
{
TimeMonitor timer(ref2IntegrationTimer());
TEUCHOS_TEST_FOR_EXCEPTION(order() != 2, std::logic_error,
"RefIntegral::transformTwoForm() called for form "
"of order " << order());
Tabs tabs;
SUNDANCE_MSG1(transformVerb(), tabs << "doing two form by reference");
int nfc = nFacetCases();
SUNDANCE_MSG1(transformVerb(), tabs << "doing two form by reference ... ");
/* If the derivative orders are zero, the only transformation to be done
* is to multiply by the cell's Jacobian determinant */
if (testDerivOrder() == 0 && unkDerivOrder() == 0)
{
if (globalCurve().isCurveValid())
{ /* ----------- ACI logic ------------ */
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve = false;
double* aPtr = &((*A)[0]);
int count = 0;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
if (nFacetCases() != 1) fc = facetIndex[c];
/* ---------- ACI ----------- */
/* call the special integration routine */
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
quad_.getAdaptedWeights(cellType(), dim(), (*cellLIDs)[c] , fc ,
mesh(), globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
if (isCutByCurve){
Array<double> w;
int ci = 0;
w.resize(nNodesTest()*nNodesUnk()); //recalculate the special weights
for (int nt = 0 ; nt < nNodesTest() ; nt++)
for(int nu=0 ; nu < nNodesUnk() ; nu++ , ci++){
w[ci] = 0.0;
for (int q=0 ; q < quadWeightsTmp.size() ; q++)
w[ci] += chop( quadWeightsTmp[q] * W_ACI_F2_[fc][q][0][nt][0][nu] );
}
// do the integration here
double detJ = coeff * fabs(JVol.detJ()[c]);
for (int n=0; n<nNodes(); n++, count++)
{
aPtr[count] += detJ*w[n];
}
}
else
{
const Array<double>& w = W_[fc];
double detJ = coeff * fabs(JVol.detJ()[c]);
for (int n=0; n<nNodes(); n++, count++)
{
aPtr[count] += detJ*w[n];
}
}
}
}
else /* ---------- NO ACI logic----------- */
{
double* aPtr = &((*A)[0]);
int count = 0;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
if (nFacetCases() != 1) fc = facetIndex[c];
const Array<double>& w = W_[fc];
double detJ = coeff * fabs(JVol.detJ()[c]);
for (int n=0; n<nNodes(); n++, count++)
{
aPtr[count] += detJ*w[n];
}
}
}
addFlops(JVol.numCells() * (nNodes() + 1));
}
else
{
/* If the derivative order is nonzero, then we have to do a transformation.
* If we're also on a cell of dimension lower than maximal, we need to refer
* to the facet index of the facet being integrated. */
int nCells = JVol.numCells();
double one = 1.0;
int nTransRows = nRefDerivUnk()*nRefDerivTest();
createTwoFormTransformationMatrix(JTrans, JVol);
double* GPtr;
if (testDerivOrder() == 0)
{
GPtr = &(G(beta())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix=" << G(beta()));
}
else if (unkDerivOrder() == 0)
{
GPtr = &(G(alpha())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix=" << G(alpha()));
}
else
{
GPtr = &(G(alpha(), beta())[0]);
SUNDANCE_MSG2(transformVerb(),
Tabs() << "transformation matrix="
<< G(alpha(),beta()));
}
int nNodes0 = nNodes();
if (nFacetCases()==1)
{
/* if we're on a maximal cell, we can do transformations
* for all cells in a single batch.
*/
if (globalCurve().isCurveValid())
{ /* ---------- ACI logic ----------- */
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve = false;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
if (nfc != 1) fc = facetIndex[c];
double* aPtr = &((*A)[c*nNodes0]);
double* gPtr = &(GPtr[c*nTransRows]);
int oneI = 1;
/* call the special integration routine */
//SUNDANCE_MSG1(transformVerb(), tabs << "before quad_.getAdaptedWeights");
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
quad_.getAdaptedWeights(cellType(), dim(), (*cellLIDs)[c], fc ,
mesh(),globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
//SUNDANCE_MSG1(transformVerb(), tabs << "after quad_.getAdaptedWeights");
if (isCutByCurve){
Array<double> w;
w.resize(nNodesUnk()*nNodesTest()*nRefDerivUnk()*nRefDerivTest());
for ( int i = 0 ; i < w.size() ; i++) w[i] = 0.0;
//recalculate the special weights
for (int t=0; t<nRefDerivTest(); t++){
for (int nt=0; nt<nNodesTest(); nt++)
for (int u=0; u<nRefDerivUnk(); u++)
for (int nu=0; nu<nNodesUnk(); nu++)
for (int q=0 ; q < quadWeightsTmp.size() ; q++)
// unkNode + nNodesUnk()*testNode + nNodes()*(unkDerivDir + nRefDerivUnk()*testDerivDir)
w[nu + nNodesUnk()*nt + nNodes()*(u + nRefDerivUnk()*t)] +=
chop(quadWeightsTmp[q]*W_ACI_F2_[0][q][t][nt][u][nu]);
}
::dgemm_("N", "N", &nNodes0, &oneI , &nTransRows, &coeff, &(w[0]),
&nNodes0, &(gPtr[0]), &nTransRows, &one,
&(aPtr[0]), &nNodes0);
}else{
::dgemm_("N", "N", &nNodes0, &oneI , &nTransRows, &coeff, &(W_[0][0]),
&nNodes0, &(gPtr[0]), &nTransRows, &one,
&(aPtr[0]), &nNodes0);
}
} // end from the for loop over the cells
}
else /* ---------- NO ACI ----------- */
{
::dgemm_("N", "N", &nNodes0, &nCells, &nTransRows, &coeff, &(W_[0][0]),
&nNodes0, GPtr, &nTransRows, &one,
&((*A)[0]), &nNodes0);
}
}
else
{
/* If we're on a lower-dimensional cell and have to transform,
* we've got to do each transformation using a different facet case */
if (globalCurve().isCurveValid())
{ /* ---------- ACI logic ----------- */
int oneI = 1;
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve = false;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
if (nfc != 1) fc = facetIndex[c];
double* aPtr = &((*A)[c*nNodes0]);
double* gPtr = &(GPtr[c*nTransRows]);
SUNDANCE_MSG2(integrationVerb(),
tabs << "c=" << c << ", facet case=" << fc
<< " W=" << W_[fc]);
/* call the special integration routine */
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
quad_.getAdaptedWeights(cellType(), dim(), (*cellLIDs)[c], fc ,
mesh(), globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
if (isCutByCurve){
Array<double> w;
w.resize(nNodesUnk()*nNodesTest()*nRefDerivUnk()*nRefDerivTest());
for ( int i = 0 ; i < w.size() ; i++) w[i] = 0.0;
//recalculate the special weights
for (int t=0; t<nRefDerivTest(); t++){
for (int nt=0; nt<nNodesTest(); nt++)
for (int u=0; u<nRefDerivUnk(); u++)
for (int nu=0; nu<nNodesUnk(); nu++)
for (int q=0 ; q < quadWeightsTmp.size() ; q++)
// unkNode + nNodesUnk()*testNode + nNodes()*(unkDerivDir + nRefDerivUnk()*testDerivDir)
w[nu + nNodesUnk()*nt + nNodes()*(u + nRefDerivUnk()*t)] +=
chop( quadWeightsTmp[q]*W_ACI_F2_[fc][q][t][nt][u][nu] );
}
::dgemm_("N", "N", &nNodes0, &oneI , &nTransRows, &coeff, &(w[0]),
&nNodes0, &(gPtr[0]), &nTransRows, &one,
&(aPtr[0]), &nNodes0);
}else{
::dgemm_("N", "N", &nNodes0, &oneI , &nTransRows, &coeff, &(W_[fc][0]),
&nNodes0, &(gPtr[0]), &nTransRows, &one,
&(aPtr[0]), &nNodes0);
}
}
}
else /* ---------- NO ACI ----------- */
{
int N = 1;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
if (nfc != 1) fc = facetIndex[c];
double* aPtr = &((*A)[c*nNodes0]);
double* gPtr = &(GPtr[c*nTransRows]);
SUNDANCE_MSG2(integrationVerb(),
tabs << "c=" << c << ", facet case=" << fc
<< " W=" << W_[fc]);
::dgemm_("N", "N", &nNodes0, &N, &nTransRows, &coeff, &(W_[fc][0]),
&nNodes0, gPtr, &nTransRows, &one,
aPtr, &nNodes0);
}
}
}// from else of (nFacetCases()==1)
addFlops(2 * nNodes0 * nCells * nTransRows);
}
}
void RefIntegral::transformZeroForm(const CellJacobianBatch& JVol,
const Array<int>& isLocalFlag,
const RCP<Array<int> >& cellLIDs,
const double& coeff,
RCP<Array<double> >& A) const
{
TimeMonitor timer(ref0IntegrationTimer());
TEUCHOS_TEST_FOR_EXCEPTION(order() != 0, std::logic_error,
"RefIntegral::transformZeroForm() called "
"for form of order " << order());
Tabs tabs;
SUNDANCE_MSG1(integrationVerb(), tabs << "doing zero form by reference");
double& a = (*A)[0];
int flops = 0;
const Array<int>* cellLID = cellLIDs.get();
/* if we don't need to check whether elements are local, we
* can streamline the loop. This will be the case when
* we are evaluating a functional but not its gradient */
double w = coeff * W_[0][0];
if ((int) isLocalFlag.size()==0)
{
if (globalCurve().isCurveValid())
{ /* ---------- ACI logic ----------- */
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve;
for (int c=0; c<JVol.numCells(); c++)
{
int fc = 0;
/* call the special integration routine */
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
quad_.getAdaptedWeights(cellType(), dim(), (*cellLID)[c], fc ,mesh(),
globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
/* if we have special weights then do the same as before */
if (isCutByCurve){
double sumweights = 0;
for (int j=0; j < quadWeightsTmp.size(); j++) sumweights += chop(quadWeightsTmp[j]);
flops+=3+quadWeightsTmp.size(); //Todo: the curve stuff not counted
a += coeff * sumweights * fabs(JVol.detJ()[c]);
} else {
flops+=2; //Todo: the curve stuff not counted
a += w * fabs(JVol.detJ()[c]);
}
}
}
else /* -------- NO ACI logic ------- */
{
for (int c=0; c<JVol.numCells(); c++)
{
flops+=2;
a += w * fabs(JVol.detJ()[c]);
}
}
}
else
{
TEUCHOS_TEST_FOR_EXCEPTION( (int) isLocalFlag.size() != JVol.numCells(),
std::runtime_error,
"mismatch between isLocalFlag.size()="
<< isLocalFlag.size()
<< " and JVol.numCells()=" << JVol.numCells());
int fc = 0;
if (globalCurve().isCurveValid())
{ /* ---------- ACI logic ----------- */
Array<double> quadWeightsTmp = quadWeights_;
Array<Point> quadPointsTmp = quadPts_;
bool isCutByCurve;
for (int c=0; c<JVol.numCells(); c++)
{
if (isLocalFlag[c])
{
/* call the special integration routine */
quadWeightsTmp = quadWeights_;
quadPointsTmp = quadPts_;
quad_.getAdaptedWeights(cellType(), dim(), (*cellLID)[c], fc , mesh(),
globalCurve(), quadPointsTmp, quadWeightsTmp, isCutByCurve);
/* if we do not have special weights then do the same as before */
if (isCutByCurve){
double sumweights = 0;
for (int j=0; j < quadWeightsTmp.size(); j++) sumweights += chop(quadWeightsTmp[j]);
flops+=3+quadWeightsTmp.size(); //Todo: the curve stuff not counted
a += coeff * sumweights * fabs(JVol.detJ()[c]);
} else {
flops+=2; //Todo: the curve stuff not counted
a += w * fabs(JVol.detJ()[c]);
}
}
}
}
else /* ---------- NO ACI logic ----------- */
{
for (int c=0; c<JVol.numCells(); c++)
{
if (isLocalFlag[c])
{
flops+=2;
a += w * fabs(JVol.detJ()[c]);
}
}
}
}
addFlops(flops);
}
