int
BandArpackSolver::solve(int numModes, bool generalized, bool findSmallest)
{
if (generalized == false) {
opserr << "BandArpackSolver::solve(int numMode, bool generalized) - only solves generalized problem\n";
return -1;
}
if (theSOE == 0) {
opserr << "WARNING BandGenLinLapackSolver::solve(void)- ";
opserr << " No LinearSOE object has been set\n";
return -1;
}
int n = theSOE->size;
// check iPiv is large enough
if (iPivSize < n) {
opserr << "WARNING BandGenLinLapackSolver::solve(void)- ";
opserr << " iPiv not large enough - has setSize() been called?\n";
return -1;
}
// set some variables
int kl = theSOE->numSubD;
int ku = theSOE->numSuperD;
int ldA = 2*kl + ku +1;
int nrhs = 1;
int ldB = n;
int info;
double *Aptr = theSOE->A;
int *iPIV = iPiv;
int nev = numModes;;
int ncv = getNCV(n, nev);
// set up the space for ARPACK functions.
// this is done each time method is called!! .. this needs to be cleaned up
int ldv = n;
int lworkl = ncv*ncv + 8*ncv;
double *v = new double[ldv * ncv];
double *workl = new double[lworkl + 1];
double *workd = new double[3 * n + 1];
double *d = new double[nev];
double *z= new double[n * nev];
double *resid = new double[n];
int *iparam = new int[11];
int *ipntr = new int[11];
logical *select = new logical[ncv];
static char which[3];
if (findSmallest == true) {
strcpy(which, "LM");
} else {
strcpy(which, "SM");
}
char bmat = 'G';
char howmy = 'A';
// some more variables
int maxitr, mode;
double tol = 0.0;
info = 0;
maxitr = 1000;
mode = 3;
iparam[0] = 1;
iparam[2] = maxitr;
iparam[6] = mode;
bool rvec = true;
int ido = 0;
int ierr = 0;
// Do the factorization of Matrix (A-dM) here.
#ifdef _WIN32
DGBTRF(&n, &n, &kl, &ku, Aptr, &ldA, iPiv, &ierr);
#else
dgbtrf_(&n, &n, &kl, &ku, Aptr, &ldA, iPiv, &ierr);
#endif
if ( ierr != 0 ) {
opserr << " BandArpackSolver::Error in dgbtrf_ " << endln;
return -1;
}
while (1) {
#ifdef _WIN32
unsigned int sizeWhich =2;
unsigned int sizeBmat =1;
unsigned int sizeHowmany =1;
unsigned int sizeOne = 1;
/*
DSAUPD(&ido, &bmat, &sizeBmat, &n, which, &sizeWhich, &nev, &tol, resid,
&ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, &info);
*/
DSAUPD(&ido, &bmat, &n, which, &nev, &tol, resid,
&ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, &info);
#else
dsaupd_(&ido, &bmat, &n, which, &nev, &tol, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, &info);
#endif
if (ido == -1) {
myMv(n, &workd[ipntr[0]-1], &workd[ipntr[1]-1]);
#ifdef _WIN32
/*
DGBTRS("N", &sizeOne, &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
*/
DGBTRS("N", &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
#else
dgbtrs_("N", &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
#endif
if (ierr != 0) {
opserr << "BandArpackSolver::Error with dgbtrs_ 1" <<endln;
exit(0);
}
continue;
} else if (ido == 1) {
// double ratio = 1.0;
myCopy(n, &workd[ipntr[2]-1], &workd[ipntr[1]-1]);
#ifdef _WIN32
/*
DGBTRS("N", &sizeOne, &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
*/
DGBTRS("N", &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
#else
dgbtrs_("N", &n, &kl, &ku, &nrhs, Aptr, &ldA, iPIV,
&workd[ipntr[1] - 1], &ldB, &ierr);
#endif
if (ierr != 0) {
opserr << "BandArpackSolver::Error with dgbtrs_ 2" <<endln;
exit(0);
}
continue;
} else if (ido == 2) {
myMv(n, &workd[ipntr[0]-1], &workd[ipntr[1]-1]);
continue;
}
break;
}
if (info < 0) {
opserr << "BandArpackSolver::Error with _saupd info = " << info << endln;
switch(info) {
case -1:
opserr << "N must be positive.\n";
break;
case -2:
opserr << "NEV must be positive.\n";
break;
case -3:
opserr << "NCV must be greater than NEV and less than or equal to N.\n";
break;
case -4:
opserr << "The maximum number of Arnoldi update iterations allowed";
break;
case -5:
opserr << "WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.\n";
break;
case -6:
opserr << "BMAT must be one of 'I' or 'G'.\n";
break;
case -7:
opserr << "Length of private work array WORKL is not sufficient.\n";
break;
case -8:
opserr << "Error return from trid. eigenvalue calculation";
opserr << "Informatinal error from LAPACK routine dsteqr.\n";
break;
case -9:
opserr << "Starting vector is zero.\n";
break;
case -10:
opserr << "IPARAM(7) must be 1,2,3,4,5.\n";
break;
case -11:
opserr << "IPARAM(7) = 1 and BMAT = 'G' are incompatable.\n";
break;
case -12:
opserr << "IPARAM(1) must be equal to 0 or 1.\n";
break;
case -13:
opserr << "NEV and WHICH = 'BE' are incompatable.\n";
break;
case -9999:
opserr << "Could not build an Arnoldi factorization.";
opserr << "IPARAM(5) returns the size of the current Arnoldi\n";
opserr << "factorization. The user is advised to check that";
opserr << "enough workspace and array storage has been allocated.\n";
break;
default:
opserr << "unrecognised return value\n";
}
// clean up the memory
delete [] workl;
delete [] workd;
delete [] resid;
delete [] iparam;
delete [] v;
delete [] select;
delete [] ipntr;
delete [] d;
delete [] z;
value = 0;
eigenvector = 0;
return info;
} else {
if (info == 1) {
opserr << "BandArpackSolver::Maximum number of iteration reached." << endln;
} else if (info == 3) {
opserr << "BandArpackSolver::No Shifts could be applied during implicit,";
opserr << "Arnoldi update, try increasing NCV." << endln;
}
double sigma = theSOE->shift;
if (iparam[4] > 0) {
rvec = true;
n = theSOE->size;
ldv = n;
#ifdef _WIN32
unsigned int sizeWhich =2;
unsigned int sizeBmat =1;
unsigned int sizeHowmany =1;
/*
DSEUPD(&rvec, &howmy, &sizeHowmany, select, d, z, &ldv, &sigma, &bmat,
&sizeBmat, &n, which, &sizeWhich,
&nev, &tol, resid, &ncv, v, &ldv, iparam, ipntr, workd,
workl, &lworkl, &info);
*/
DSEUPD(&rvec, &howmy, select, d, z, &ldv, &sigma, &bmat, &n, which,
&nev, &tol, resid, &ncv, v, &ldv, iparam, ipntr, workd,
workl, &lworkl, &info);
#else
dseupd_(&rvec, &howmy, select, d, z, &ldv, &sigma, &bmat, &n, which,
&nev, &tol, resid, &ncv, v, &ldv, iparam, ipntr, workd,
workl, &lworkl, &info);
#endif
if (info != 0) {
opserr << "BandArpackSolver::Error with dseupd_" << info;
switch(info) {
case -1:
opserr << " N must be positive.\n";
break;
case -2:
opserr << " NEV must be positive.\n";
break;
case -3:
opserr << " NCV must be greater than NEV and less than or equal to N.\n";
break;
case -5:
opserr << " WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.\n";
break;
case -6:
opserr << " BMAT must be one of 'I' or 'G'.\n";
break;
case -7:
opserr << " Length of private work WORKL array is not sufficient.\n";
break;
case -8:
opserr << " Error return from trid. eigenvalue calculation";
opserr << "Information error from LAPACK routine dsteqr.\n";
break;
case -9:
opserr << " Starting vector is zero.\n";
break;
case -10:
opserr << " IPARAM(7) must be 1,2,3,4,5.\n";
break;
case -11:
opserr << " IPARAM(7) = 1 and BMAT = 'G' are incompatibl\n";
break;
case -12:
opserr << " NEV and WHICH = 'BE' are incompatible.\n";
break;
case -14:
opserr << " DSAUPD did not find any eigenvalues to sufficient accuracy.\n";
break;
case -15:
opserr << " HOWMNY must be one of 'A' or 'S' if RVEC = .true.\n";
break;
case -16:
opserr << " HOWMNY = 'S' not yet implemented\n";
break;
default:
;
}
// clean up the memory
delete [] workl;
delete [] workd;
delete [] resid;
delete [] iparam;
delete [] v;
delete [] select;
delete [] ipntr;
delete [] d;
delete [] z;
value = 0;
eigenvector = 0;
return info;
}
}
}
value = d;
eigenvector = z;
theSOE->factored = true;
// clean up the memory
delete [] workl;
delete [] workd;
delete [] resid;
delete [] iparam;
delete [] v;
delete [] select;
delete [] ipntr;
return 0;
}
int
ArpackSolver::solve(int numModes, bool generalized)
{
if (generalized == false) {
opserr << "ArpackSolver::solve() - at moment only solves generalized problem\n";
return -1;
}
theSOE = theArpackSOE->theSOE;
if (theSOE == 0) {
opserr << "ArpackSolver::setSize() - no LinearSOE set\n";
return -1;
}
// set up the space for ARPACK functions.
// this is done each time method is called!! .. this needs to be cleaned up
int n = size;
int nev = numModes;
int ncv = getNCV(n, nev);
int ldv = n;
int lworkl = ncv*ncv + 8*ncv;
int processID = theArpackSOE->processID;
// set up the space for ARPACK functions.
// this is done each time method is called!! .. this needs to be cleaned up
if (numModes > numModesMax) {
if (v != 0) delete [] v;
if (workl != 0) delete [] workl;
if (workd != 0) delete [] workd;
if (eigenvalues != 0) delete [] eigenvalues;
if (eigenvectors != 0) delete [] eigenvectors;
if (resid != 0) delete [] resid;
if (select != 0) delete [] select;
v = new double[ldv * ncv];
workl = new double[lworkl + 1];
workd = new double[3 * n + 1];
eigenvalues = new double[nev];
eigenvectors = new double[n * nev];
resid = new double[n];
select = new logical[ncv];
for (int i=0; i<lworkl+1; i++)
workl[i] = 0;
for (int i=0; i<3*n+1; i++)
workd[i] = 0;
for (int i=0; i<ldv*ncv; i++)
v[i] = 0;
numModesMax = numModes;
}
static char which[3]; strcpy(which, "LM");
char bmat = 'G';
char howmy = 'A';
// some more variables
double tol = 0.0;
int info = 0;
int maxitr = 1000;
int mode = 3;
iparam[0] = 1;
iparam[2] = maxitr;
iparam[6] = mode;
bool rvec = true;
int ido = 0;
int ierr = 0;
while (1) {
#ifdef _WIN32
unsigned int sizeWhich =2;
unsigned int sizeBmat =1;
unsigned int sizeHowmany =1;
unsigned int sizeOne = 1;
DSAUPD(&ido, &bmat, &n, which, &nev, &tol, resid,
&ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, &info);
#else
dsaupd_(&ido, &bmat, &n, which, &nev, &tol, resid, &ncv, v, &ldv,
iparam, ipntr, workd, workl, &lworkl, &info);
#endif
if (ido == -1) {
myMv(n, &workd[ipntr[0]-1], &workd[ipntr[1]-1]);
theVector.setData(&workd[ipntr[1] - 1], size);
theSOE->setB(theVector);
ierr = theSOE->solve();
const Vector &X = theSOE->getX();
theVector = X;
continue;
} else if (ido == 1) {
// double ratio = 1.0;
myCopy(n, &workd[ipntr[2]-1], &workd[ipntr[1]-1]);
theVector.setData(&workd[ipntr[1] - 1], size);
if (processID > 0)
theSOE->zeroB();
else
theSOE->setB(theVector);
theSOE->solve();
const Vector &X = theSOE->getX();
theVector = X;
// theVector.setData(&workd[ipntr[1] - 1], size);
continue;
} else if (ido == 2) {
myMv(n, &workd[ipntr[0]-1], &workd[ipntr[1]-1]);
continue;
}
break;
}
if (info < 0) {
opserr << "ArpackSolver::Error with _saupd info = " << info << endln;
switch(info) {
case -1:
opserr << "N must be positive.\n";
break;
case -2:
opserr << "NEV must be positive.\n";
break;
case -3:
opserr << "NCV must be greater than NEV and less than or equal to N.\n";
break;
case -4:
opserr << "The maximum number of Arnoldi update iterations allowed";
break;
case -5:
opserr << "WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.\n";
break;
case -6:
opserr << "BMAT must be one of 'I' or 'G'.\n";
break;
case -7:
opserr << "Length of private work array WORKL is not sufficient.\n";
break;
case -8:
opserr << "Error return from trid. eigenvalue calculation";
opserr << "Informatinal error from LAPACK routine dsteqr.\n";
break;
case -9:
opserr << "Starting vector is zero.\n";
break;
case -10:
opserr << "IPARAM(7) must be 1,2,3,4,5.\n";
break;
case -11:
opserr << "IPARAM(7) = 1 and BMAT = 'G' are incompatable.\n";
break;
case -12:
opserr << "IPARAM(1) must be equal to 0 or 1.\n";
break;
case -13:
opserr << "NEV and WHICH = 'BE' are incompatable.\n";
break;
case -9999:
opserr << "Could not build an Arnoldi factorization.";
opserr << "IPARAM(5) the size of the current Arnoldi factorization: is ";
opserr << iparam[4];
opserr << "factorization. The user is advised to check that";
opserr << "enough workspace and array storage has been allocated.\n";
break;
default:
opserr << "unrecognised return value\n";
}
eigenvalues = 0;
eigenvectors = 0;
return info;
} else {
if (info == 1) {
opserr << "ArpackSolver::Maximum number of iteration reached." << endln;
} else if (info == 3) {
opserr << "ArpackSolver::No Shifts could be applied during implicit,";
opserr << "Arnoldi update, try increasing NCV." << endln;
}
double sigma = shift;
if (iparam[4] > 0) {
rvec = true;
n = size;
ldv = n;
#ifdef _WIN32
unsigned int sizeWhich =2;
unsigned int sizeBmat =1;
unsigned int sizeHowmany =1;
DSEUPD(&rvec, &howmy, select, eigenvalues, eigenvectors, &ldv, &sigma, &bmat, &n, which,
&nev, &tol, resid, &ncv, v, &ldv, iparam, ipntr, workd,
workl, &lworkl, &info);
#else
dseupd_(&rvec, &howmy, select, eigenvalues, eigenvectors, &ldv, &sigma, &bmat, &n, which,
&nev, &tol, resid, &ncv, v, &ldv, iparam, ipntr, workd,
workl, &lworkl, &info);
#endif
if (info != 0) {
opserr << "ArpackSolver::Error with dseupd_" << info;
switch(info) {
case -1:
opserr << " N must be positive.\n";
break;
case -2:
opserr << " NEV must be positive.\n";
break;
case -3:
opserr << " NCV must be greater than NEV and less than or equal to N.\n";
break;
case -5:
opserr << " WHICH must be one of 'LM', 'SM', 'LA', 'SA' or 'BE'.\n";
break;
case -6:
opserr << " BMAT must be one of 'I' or 'G'.\n";
break;
case -7:
opserr << " Length of private work WORKL array is not sufficient.\n";
break;
case -8:
opserr << " Error return from trid. eigenvalue calculation";
opserr << "Information error from LAPACK routine dsteqr.\n";
break;
case -9:
opserr << " Starting vector is zero.\n";
break;
case -10:
opserr << " IPARAM(7) must be 1,2,3,4,5.\n";
break;
case -11:
opserr << " IPARAM(7) = 1 and BMAT = 'G' are incompatibl\n";
break;
case -12:
opserr << " NEV and WHICH = 'BE' are incompatible.\n";
break;
case -14:
opserr << " DSAUPD did not find any eigenvalues to sufficient accuracy.\n";
break;
case -15:
opserr << " HOWMNY must be one of 'A' or 'S' if RVEC = .true.\n";
break;
case -16:
opserr << " HOWMNY = 'S' not yet implemented\n";
break;
default:
;
}
return info;
}
}
}
numMode = numModes;
// clean up the memory
return 0;
}