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// File: FEmTool_LinearTension.cxx
// Created: Fri Nov 6 10:22:02 1998
// Author: Igor FEOKTISTOV
// <ifv@paradox.nnov.matra-dtv.fr>
#include <FEmTool_LinearTension.ixx>
#include <PLib.hxx>
#include <TColStd_HArray2OfInteger.hxx>
#include <TColStd_HArray2OfReal.hxx>
#include <PLib_JacobiPolynomial.hxx>
#include <PLib_HermitJacobi.hxx>
#include <FEmTool_ElementsOfRefMatrix.hxx>
#include <math_IntegerVector.hxx>
#include <math_Vector.hxx>
#include <math_GaussSetIntegration.hxx>
#include <math.hxx>
#include <Standard_ConstructionError.hxx>
FEmTool_LinearTension::FEmTool_LinearTension(const Standard_Integer WorkDegree,
const GeomAbs_Shape ConstraintOrder):
RefMatrix(0,WorkDegree,0,WorkDegree)
{
static Standard_Integer Order = -333, WDeg = 14;
static math_Vector MatrixElemts(0, ((WDeg+2)*(WDeg+1))/2 -1 );
myOrder = PLib::NivConstr(ConstraintOrder);
if (myOrder != Order) {
//Calculating RefMatrix
if (WorkDegree > WDeg) Standard_ConstructionError::Raise("Degree too high");
Order = myOrder;
Standard_Integer DerOrder = 1;
Handle(PLib_HermitJacobi) theBase = new PLib_HermitJacobi(WDeg, ConstraintOrder);
FEmTool_ElementsOfRefMatrix Elem = FEmTool_ElementsOfRefMatrix(theBase, DerOrder);
Standard_Integer maxDegree = WDeg+1;
math_IntegerVector Order(1,1,Min(4*(maxDegree/2+1),math::GaussPointsMax()));
math_Vector Lower(1,1,-1.), Upper(1,1,1.);
math_GaussSetIntegration anInt(Elem, Lower, Upper, Order);
MatrixElemts = anInt.Value();
}
Standard_Integer i, j, ii, jj;
for(ii = i = 0; i <= WorkDegree; i++) {
RefMatrix(i, i) = MatrixElemts(ii);
for(j = i+1, jj = ii+1; j <= WorkDegree; j++, jj++) {
RefMatrix(j, i) = RefMatrix(i, j) = MatrixElemts(jj);
}
ii += WDeg+1-i;
}
}
Handle(TColStd_HArray2OfInteger) FEmTool_LinearTension::DependenceTable() const
{
if(myCoeff.IsNull()) Standard_DomainError::Raise("FEmTool_LinearTension::DependenceTable");
Handle(TColStd_HArray2OfInteger) DepTab =
new TColStd_HArray2OfInteger(myCoeff->LowerCol(), myCoeff->UpperCol(),
myCoeff->LowerCol(), myCoeff->UpperCol(),0);
Standard_Integer i;
for(i=1; i<=myCoeff->RowLength(); i++) DepTab->SetValue(i,i,1);
return DepTab;
}
Standard_Real FEmTool_LinearTension::Value()
{
Standard_Integer deg = Min(myCoeff->ColLength() - 1, RefMatrix.UpperRow()),
i, j, j0 = myCoeff->LowerRow(), degH = Min(2*myOrder+1, deg),
NbDim = myCoeff->RowLength(), dim;
TColStd_Array2OfReal NewCoeff( 1, NbDim, 0, deg);
Standard_Real coeff = (myLast - myFirst)/2., cteh3 = 2./coeff,
mfact, Jline;
Standard_Integer k1;
Standard_Real J = 0.;
for(i = 0; i <= degH; i++) {
k1 = (i <= myOrder)? i : i - myOrder - 1;
mfact = Pow(coeff,k1);
for(dim = 1; dim <= NbDim; dim++)
NewCoeff(dim, i) = myCoeff->Value(j0 + i, dim) * mfact;
}
for(i = degH + 1; i <= deg; i++) {
for(dim = 1; dim <= NbDim; dim++)
NewCoeff(dim, i) = myCoeff->Value(j0 + i, dim);
}
for(dim = 1; dim <= NbDim; dim++) {
for(i = 0; i <= deg; i++) {
Jline = 0.5 * RefMatrix(i, i) * NewCoeff(dim, i);
for(j = 0; j < i; j++)
Jline += RefMatrix(i, j) * NewCoeff(dim, j);
J += Jline * NewCoeff(dim, i);
}
}
return cteh3*J;
}
void FEmTool_LinearTension::Hessian(const Standard_Integer Dimension1,
const Standard_Integer Dimension2, math_Matrix& H)
{
Handle(TColStd_HArray2OfInteger) DepTab = DependenceTable();
if(Dimension1 < DepTab->LowerRow() || Dimension1 > DepTab->UpperRow() ||
Dimension2 < DepTab->LowerCol() || Dimension2 > DepTab->UpperCol())
Standard_OutOfRange::Raise("FEmTool_LinearTension::Hessian");
if(DepTab->Value(Dimension1,Dimension2) == 0)
Standard_DomainError::Raise("FEmTool_LinearTension::Hessian");
Standard_Integer deg = Min(RefMatrix.UpperRow(), H.RowNumber() - 1), degH = Min(2*myOrder+1, deg);
Standard_Real coeff = (myLast - myFirst)/2., cteh3 = 2./coeff, mfact;
Standard_Integer k1, k2, i, j, i0 = H.LowerRow(), j0 = H.LowerCol(), i1, j1;
H.Init(0.);
i1 = i0;
for(i = 0; i <= degH; i++) {
k1 = (i <= myOrder)? i : i - myOrder - 1;
mfact = Pow(coeff,k1)*cteh3;
// Hermite*Hermite part of matrix
j1 = j0 + i;
for(j = i; j <= degH; j++) {
k2 = (j <= myOrder)? j : j - myOrder - 1;
H(i1, j1) = mfact*Pow(coeff, k2)*RefMatrix(i, j);
if (i != j) H(j1, i1) = H(i1, j1);
j1++;
}
// Hermite*Jacobi part of matrix
j1 = j0 + degH + 1;
for(j = degH + 1; j <= deg; j++) {
H(i1, j1) = mfact*RefMatrix(i, j);
H(j1, i1) = H(i1, j1);
j1++;
}
i1++;
}
// Jacoby*Jacobi part of matrix
i1 = i0 + degH + 1;
for(i = degH+1; i <= deg; i++) {
j1 = j0 + i;
for(j = i; j <= deg; j++) {
H(i1, j1) = cteh3*RefMatrix(i, j);
if (i != j) H(j1, i1) = H(i1, j1);
j1++;
}
i1++;
}
}
void FEmTool_LinearTension::Gradient(const Standard_Integer Dimension, math_Vector& G)
{
if(Dimension < myCoeff->LowerCol() || Dimension > myCoeff->UpperCol())
Standard_OutOfRange::Raise("FEmTool_LinearTension::Gradient");
Standard_Integer deg = Min(G.Length() - 1, myCoeff->ColLength() - 1);
math_Vector X(0,deg);
Standard_Integer i, i1 = myCoeff->LowerRow();
for(i = 0; i <= deg; i++) X(i) = myCoeff->Value(i1+i, Dimension);
math_Matrix H(0,deg,0,deg);
Hessian(Dimension, Dimension, H);
G.Multiply(H, X);
}
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