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/*
ARPACK++ v1.0 8/1/1997
c++ interface to ARPACK code.
MODULE CMatrixB.h
Class template for the tridiagonal matrix derived from
the standard central difference of the 1-d convection diffusion
operator u" + rho*u' on the interval [0, 1] with zero
Dirichlet boundary conditions.
ARPACK Authors
Richard Lehoucq
Danny Sorensen
Chao Yang
Dept. of Computational & Applied Mathematics
Rice University
Houston, Texas
*/
#ifndef CMATRIXB_H
#define CMATRIXB_H
#include "arcomp.h"
#include "matprod.h"
#include "blas1c.h"
#include "lapackc.h"
template<class T>
class CompMatrixB: public MatrixWithProduct<arcomplex<T> > {
private:
arcomplex<T> rho;
arcomplex<T> shift;
arcomplex<T> *Ad, *Adl, *Adu, *Adu2;
int *ipiv;
int decsize;
void FactorDataDeallocate();
public:
void FactorOP();
void MultMv(arcomplex<T>* v, arcomplex<T>* w);
void MultOPv(arcomplex<T>* v, arcomplex<T>* w);
CompMatrixB(int nv, arcomplex<T> rhov);
CompMatrixB(int nv, arcomplex<T> shiftv, arcomplex<T> rhov);
virtual ~CompMatrixB();
}; // CompMatrixB.
template<class T>
inline void CompMatrixB<T>::FactorDataDeallocate()
/*
Eliminates the data structure used on matrix factorization.
*/
{
delete[] Ad;
delete[] Adl;
delete[] Adu;
delete[] Adu2;
delete[] ipiv;
} // FactorDataDeallocate.
template<class T>
void CompMatrixB<T>::FactorOP()
/*
Factors (M-shift*I).
*/
{
int j, ierr;
arcomplex<T> h, h2, s, s1, s2, s3;
const arcomplex<T> one(1.0, 0.0);
const arcomplex<T> two(2.0, 0.0);
if (decsize != this->ncols()) {
decsize = this->ncols();
FactorDataDeallocate();
Ad = new arcomplex<T>[this->ncols()];
Adl = new arcomplex<T>[this->ncols()];
Adu = new arcomplex<T>[this->ncols()];
Adu2 = new arcomplex<T>[this->ncols()];
ipiv = new int[this->ncols()];
}
h = one/arcomplex<T>((this->ncols()+1),0.0);
h2 = h*h;
s = rho/two;
s1 = -one/h2 - s/h;
s2 = two/h2 - shift;
s3 = -one/h2 + s/h;
for (j=0; j<this->ncols()-1; j++) {
Adl[j] = s1;
Ad[j] = s2;
Adu[j] = s3;
}
Ad[this->ncols()-1] = s2;
gttrf(this->ncols(), Adl, Ad, Adu, Adu2, ipiv, ierr);
} // FactorOP.
template<class T>
void CompMatrixB<T>::MultMv(arcomplex<T>* v, arcomplex<T>* w)
/*
Computes the matrix-vector multiplication w <- A*v.
*/
{
int j;
arcomplex<T> dd, dl, du, s, h, h2;
const arcomplex<T> one( 1.0, 0.0);
const arcomplex<T> two( 2.0, 0.0);
h = one/arcomplex<T>((this->ncols()+1),0.0);
h2 = h*h;
s = rho/two;
dd = two/h2;
dl = -one/h2 - s/h;
du = -one/h2 + s/h;
w[0] = dd*v[0] + du*v[1];
for (j=1; j<this->ncols()-1; j++) {
w[j] = dl*v[j-1] + dd*v[j] + du*v[j+1];
}
w[this->ncols()-1] = dl*v[this->ncols()-2] + dd*v[this->ncols()-1];
} // MultMv.
template<class T>
void CompMatrixB<T>::MultOPv(arcomplex<T>* v, arcomplex<T>* w)
/*
Computes the matrix-vector product w <- inv(M-shift*I)*v.
*/
{
int ierr;
char *type = "N";
copy(this->ncols(), v, 1, w, 1);
gttrs(type, this->ncols(), 1, Adl, Ad, Adu, Adu2, ipiv, w, this->ncols(), ierr);
} // MultOPv.
template<class T>
inline CompMatrixB<T>::CompMatrixB(int nval, arcomplex<T> rhov):
MatrixWithProduct<arcomplex<T> >(nval)
/*
Constructor
*/
{
decsize = 0;
Ad = 0;
Adl = 0;
Adu = 0;
Adu2 = 0;
ipiv = 0;
shift = 0.0;
rho = rhov;
} // Constructor.
template<class T>
inline CompMatrixB<T>::
CompMatrixB(int nv, arcomplex<T> shiftv, arcomplex<T> rhov):
MatrixWithProduct<arcomplex<T> >(nv)
/*
Constructor with shift
*/
{
decsize = 0;
Ad = 0;
Adl = 0;
Adu = 0;
Adu2 = 0;
ipiv = 0;
shift = shiftv;
rho = rhov;
FactorOP();
} // Constructor with shift.
template<class T>
inline CompMatrixB<T>::~CompMatrixB()
/*
Destructor
*/
{
FactorDataDeallocate();
} // Destructor.
#endif // CMATRIXB_H
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