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/*
ARPACK++ v1.2 2/20/2000
c++ interface to ARPACK code.
MODULE SMatrixD.h
Class template for the 1-dimensional mass matrix
on the interval [0,1].
ARPACK Authors
Richard Lehoucq
Danny Sorensen
Chao Yang
Dept. of Computational & Applied Mathematics
Rice University
Houston, Texas
*/
#ifndef SMATRIXD_H
#define SMATRIXD_H
#include "matprod.h"
#include "blas1c.h"
#include "lapackc.h"
template<class ART>
class SymMatrixD: public MatrixWithProduct<ART> {
private:
ART *Ad, *Adl, *Adu, *Adu2;
int *ipiv;
int decsize;
void FactorDataDeallocate();
public:
void FactorM();
void SolveM(ART* v);
void MultMv(ART* v, ART* w);
SymMatrixD(int nv);
virtual ~SymMatrixD();
}; // SymMatrixD.
template<class ART>
inline void SymMatrixD<ART>::FactorDataDeallocate()
// Eliminates the data structure used on matrix factorization.
{
delete[] Ad;
delete[] Adl;
delete[] Adu;
delete[] Adu2;
delete[] ipiv;
} // FactorDataDeallocate.
template<class ART>
void SymMatrixD<ART>::FactorM()
// Factors M.
{
int i, ierr;
ART h, r1, r2;
const ART one = 1.0;
const ART four = 4.0;
const ART six = 6.0;
if (decsize != this->ncols()) {
decsize = this->ncols();
FactorDataDeallocate();
Ad = new ART[this->ncols()];
Adl = new ART[this->ncols()];
Adu = new ART[this->ncols()];
Adu2 = new ART[this->ncols()];
ipiv = new int[this->ncols()];
}
h = one/ART(this->ncols()+1);
r2 = h/six;
r1 = r2*four;
for (i=0; i<this->ncols(); i++) {
Ad[i] = r1;
Adl[i] = r2;
}
copy(this->ncols(), Adl, 1, Adu, 1);
gttrf(this->ncols(), Adl, Ad, Adu, Adu2, ipiv, ierr);
} // FactorM.
template<class ART>
inline void SymMatrixD<ART>::SolveM(ART* v)
// Solves M*w = v. v is overwritten with vector w.
{
int ierr;
char *type = "N";
gttrs(type, this->ncols(), 1, Adl, Ad, Adu, Adu2, ipiv, v, this->ncols(), ierr);
} // SolveM.
template<class ART>
void SymMatrixD<ART>::MultMv(ART* v, ART* w)
// Performs w <- M*v.
{
int j;
ART h;
const ART one = 1.0;
const ART four = 4.0;
const ART six = 6.0;
w[0] = four*v[0] + v[1];
for (j=1; j<this->ncols()-1; j++) {
w[j] = v[j-1] + four*v[j] + v[j+1];
}
w[this->ncols()-1] = v[this->ncols()-2] + four*v[this->ncols()-1];
// Scaling the vector w by h.
h = one / (ART(this->ncols()+1)*six);
scal(this->ncols(), h, w, 1L);
return;
} // MultMv.
template<class ART>
inline SymMatrixD<ART>:: SymMatrixD(int nval): MatrixWithProduct<ART>(nval)
// Constructor.
{
decsize = 0;
Ad = 0;
Adl = 0;
Adu = 0;
Adu2 = 0;
ipiv = 0;
} // Constructor.
template<class ART>
inline SymMatrixD<ART>::~SymMatrixD()
// Destructor.
{
FactorDataDeallocate();
} // Destructor.
#endif // SMATRIXD_H
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