void FCV_SPILSSETPREC(int *flag, int *ier)
{
if (*flag == 0) {
*ier = CVSpilsSetPreconditioner(CV_cvodemem, NULL, NULL);
} else {
*ier = CVSpilsSetPreconditioner(CV_cvodemem, FCVPSet, FCVPSol);
}
}
void FCV_SPILSSETPREC(int *flag, int *ier)
{
CVodeMem cv_mem;
if (*flag == 0) {
*ier = CVSpilsSetPreconditioner(CV_cvodemem, NULL, NULL, NULL);
} else {
cv_mem = (CVodeMem) CV_cvodemem;
*ier = CVSpilsSetPreconditioner(CV_cvodemem, FCVPSet, FCVPSol, cv_mem->cv_f_data);
}
}
int CVSpilsSetPreconditionerB(void *cvadj_mem, CVSpilsPrecSetupFnB psetB,
CVSpilsPrecSolveFnB psolveB, void *P_dataB)
{
CVadjMem ca_mem;
CVSpilsMemB cvspilsB_mem;
CVodeMem cvB_mem;
int flag;
if (cvadj_mem == NULL) {
CVProcessError(NULL, CVSPILS_ADJMEM_NULL, "CVSPILS", "CVSpilsSetPreconditionerB", MSGS_CAMEM_NULL);
return(CVSPILS_ADJMEM_NULL);
}
ca_mem = (CVadjMem) cvadj_mem;
cvB_mem = ca_mem->cvb_mem;
if (lmemB == NULL) {
CVProcessError(cvB_mem, CVSPILS_LMEMB_NULL, "CVSPILS", "CVSpilsSetPreconditonerB", MSGS_LMEMB_NULL);
return(CVSPILS_LMEMB_NULL);
}
cvspilsB_mem = (CVSpilsMemB) lmemB;
pset_B = psetB;
psolve_B = psolveB;
P_data_B = P_dataB;
flag = CVSpilsSetPreconditioner(cvB_mem, CVAspilsPrecSetup, CVAspilsPrecSolve, cvadj_mem);
return(flag);
}
int CVSpilsSetPreconditionerB(void *cvode_mem, int which,
CVSpilsPrecSetupFnB psetB,
CVSpilsPrecSolveFnB psolveB)
{
CVodeMem cv_mem;
CVadjMem ca_mem;
CVodeBMem cvB_mem;
CVSpilsMemB cvspilsB_mem;
void *cvodeB_mem;
int flag;
/* Check if cvode_mem exists */
if (cvode_mem == NULL) {
cvProcessError(NULL, CVSPILS_MEM_NULL, "CVSPILS", "CVSpilsSetPreconsitionerB", MSGS_CVMEM_NULL);
return(CVSPILS_MEM_NULL);
}
cv_mem = (CVodeMem) cvode_mem;
/* Was ASA initialized? */
if (cv_mem->cv_adjMallocDone == FALSE) {
cvProcessError(cv_mem, CVSPILS_NO_ADJ, "CVSPILS", "CVSpilsSetPreconsitionerB", MSGS_NO_ADJ);
return(CVSPILS_NO_ADJ);
}
ca_mem = cv_mem->cv_adj_mem;
/* Check which */
if ( which >= ca_mem->ca_nbckpbs ) {
cvProcessError(cv_mem, CVSPILS_ILL_INPUT, "CVSPILS", "CVSpilsSetPreconsitionerB", MSGS_BAD_WHICH);
return(CVSPILS_ILL_INPUT);
}
/* Find the CVodeBMem entry in the linked list corresponding to which */
cvB_mem = ca_mem->cvB_mem;
while (cvB_mem != NULL) {
if ( which == cvB_mem->cv_index ) break;
cvB_mem = cvB_mem->cv_next;
}
cvodeB_mem = (void *) (cvB_mem->cv_mem);
if (cvB_mem->cv_lmem == NULL) {
cvProcessError(cv_mem, CVSPILS_LMEMB_NULL, "CVSPILS", "CVSpilsSetPreconditonerB", MSGS_LMEMB_NULL);
return(CVSPILS_LMEMB_NULL);
}
cvspilsB_mem = (CVSpilsMemB) (cvB_mem->cv_lmem);
pset_B = psetB;
psolve_B = psolveB;
flag = CVSpilsSetPreconditioner(cvodeB_mem, cvSpilsPrecSetupBWrapper, cvSpilsPrecSolveBWrapper);
return(flag);
}
int CVBPSpgmr(void *cvode_mem, int pretype, int maxl, void *p_data)
{
CVodeMem cv_mem;
int flag;
flag = CVSpgmr(cvode_mem, pretype, maxl);
if(flag != CVSPILS_SUCCESS) return(flag);
cv_mem = (CVodeMem) cvode_mem;
if ( p_data == NULL ) {
CVProcessError(cv_mem, CVBANDPRE_PDATA_NULL, "CVBANDPRE", "CVBPSpgmr", MSGBP_PDATA_NULL);
return(CVBANDPRE_PDATA_NULL);
}
flag = CVSpilsSetPreconditioner(cvode_mem, CVBandPrecSetup, CVBandPrecSolve, p_data);
if(flag != CVSPILS_SUCCESS) return(flag);
return(CVSPILS_SUCCESS);
}
PetscErrorCode TSSetUp_Sundials(TS ts)
{
TS_Sundials *cvode = (TS_Sundials*)ts->data;
PetscErrorCode ierr;
PetscInt glosize,locsize,i,flag;
PetscScalar *y_data,*parray;
void *mem;
PC pc;
PCType pctype;
PetscBool pcnone;
PetscFunctionBegin;
/* get the vector size */
ierr = VecGetSize(ts->vec_sol,&glosize);CHKERRQ(ierr);
ierr = VecGetLocalSize(ts->vec_sol,&locsize);CHKERRQ(ierr);
/* allocate the memory for N_Vec y */
cvode->y = N_VNew_Parallel(cvode->comm_sundials,locsize,glosize);
if (!cvode->y) SETERRQ(PETSC_COMM_SELF,1,"cvode->y is not allocated");
/* initialize N_Vec y: copy ts->vec_sol to cvode->y */
ierr = VecGetArray(ts->vec_sol,&parray);CHKERRQ(ierr);
y_data = (PetscScalar*) N_VGetArrayPointer(cvode->y);
for (i = 0; i < locsize; i++) y_data[i] = parray[i];
ierr = VecRestoreArray(ts->vec_sol,NULL);CHKERRQ(ierr);
ierr = VecDuplicate(ts->vec_sol,&cvode->update);CHKERRQ(ierr);
ierr = VecDuplicate(ts->vec_sol,&cvode->ydot);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)cvode->update);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)cvode->ydot);CHKERRQ(ierr);
/*
Create work vectors for the TSPSolve_Sundials() routine. Note these are
allocated with zero space arrays because the actual array space is provided
by Sundials and set using VecPlaceArray().
*/
ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)ts),1,locsize,PETSC_DECIDE,0,&cvode->w1);CHKERRQ(ierr);
ierr = VecCreateMPIWithArray(PetscObjectComm((PetscObject)ts),1,locsize,PETSC_DECIDE,0,&cvode->w2);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)cvode->w1);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)cvode->w2);CHKERRQ(ierr);
/* Call CVodeCreate to create the solver memory and the use of a Newton iteration */
mem = CVodeCreate(cvode->cvode_type, CV_NEWTON);
if (!mem) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_MEM,"CVodeCreate() fails");
cvode->mem = mem;
/* Set the pointer to user-defined data */
flag = CVodeSetUserData(mem, ts);
if (flag) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVodeSetUserData() fails");
/* Sundials may choose to use a smaller initial step, but will never use a larger step. */
flag = CVodeSetInitStep(mem,(realtype)ts->time_step);
if (flag) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_LIB,"CVodeSetInitStep() failed");
if (cvode->mindt > 0) {
flag = CVodeSetMinStep(mem,(realtype)cvode->mindt);
if (flag) {
if (flag == CV_MEM_NULL) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_LIB,"CVodeSetMinStep() failed, cvode_mem pointer is NULL");
else if (flag == CV_ILL_INPUT) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_LIB,"CVodeSetMinStep() failed, hmin is nonpositive or it exceeds the maximum allowable step size");
else SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_LIB,"CVodeSetMinStep() failed");
}
}
if (cvode->maxdt > 0) {
flag = CVodeSetMaxStep(mem,(realtype)cvode->maxdt);
if (flag) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_LIB,"CVodeSetMaxStep() failed");
}
/* Call CVodeInit to initialize the integrator memory and specify the
* user's right hand side function in u'=f(t,u), the inital time T0, and
* the initial dependent variable vector cvode->y */
flag = CVodeInit(mem,TSFunction_Sundials,ts->ptime,cvode->y);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVodeInit() fails, flag %d",flag);
/* specifies scalar relative and absolute tolerances */
flag = CVodeSStolerances(mem,cvode->reltol,cvode->abstol);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVodeSStolerances() fails, flag %d",flag);
/* Specify max num of steps to be taken by cvode in its attempt to reach the next output time */
flag = CVodeSetMaxNumSteps(mem,ts->max_steps);
/* call CVSpgmr to use GMRES as the linear solver. */
/* setup the ode integrator with the given preconditioner */
ierr = TSSundialsGetPC(ts,&pc);CHKERRQ(ierr);
ierr = PCGetType(pc,&pctype);CHKERRQ(ierr);
ierr = PetscObjectTypeCompare((PetscObject)pc,PCNONE,&pcnone);CHKERRQ(ierr);
if (pcnone) {
flag = CVSpgmr(mem,PREC_NONE,0);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVSpgmr() fails, flag %d",flag);
} else {
flag = CVSpgmr(mem,PREC_LEFT,cvode->maxl);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVSpgmr() fails, flag %d",flag);
/* Set preconditioner and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(mem,TSPrecond_Sundials,TSPSolve_Sundials);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVSpilsSetPreconditioner() fails, flag %d", flag);
}
flag = CVSpilsSetGSType(mem, MODIFIED_GS);
if (flag) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"CVSpgmrSetGSType() fails, flag %d",flag);
PetscFunctionReturn(0);
}
int main()
{
realtype abstol=ATOL, reltol=RTOL, t, tout;
N_Vector c;
WebData wdata;
void *cvode_mem;
booleantype firstrun;
int jpre, gstype, flag;
int ns, mxns, iout;
c = NULL;
wdata = NULL;
cvode_mem = NULL;
/* Initializations */
c = N_VNew_Serial(NEQ);
if(check_flag((void *)c, "N_VNew_Serial", 0)) return(1);
wdata = AllocUserData();
if(check_flag((void *)wdata, "AllocUserData", 2)) return(1);
InitUserData(wdata);
ns = wdata->ns;
mxns = wdata->mxns;
/* Print problem description */
PrintIntro();
/* Loop over jpre and gstype (four cases) */
for (jpre = PREC_LEFT; jpre <= PREC_RIGHT; jpre++) {
for (gstype = MODIFIED_GS; gstype <= CLASSICAL_GS; gstype++) {
/* Initialize c and print heading */
CInit(c, wdata);
PrintHeader(jpre, gstype);
/* Call CVodeInit or CVodeReInit, then CVSpgmr to set up problem */
firstrun = (jpre == PREC_LEFT) && (gstype == MODIFIED_GS);
if (firstrun) {
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
wdata->cvode_mem = cvode_mem;
flag = CVodeSetUserData(cvode_mem, wdata);
if(check_flag(&flag, "CVodeSetUserData", 1)) return(1);
flag = CVodeInit(cvode_mem, f, T0, c);
if(check_flag(&flag, "CVodeInit", 1)) return(1);
flag = CVodeSStolerances(cvode_mem, reltol, abstol);
if (check_flag(&flag, "CVodeSStolerances", 1)) return(1);
flag = CVSpgmr(cvode_mem, jpre, MAXL);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
flag = CVSpilsSetGSType(cvode_mem, gstype);
if(check_flag(&flag, "CVSpilsSetGSType", 1)) return(1);
flag = CVSpilsSetEpsLin(cvode_mem, DELT);
if(check_flag(&flag, "CVSpilsSetEpsLin", 1)) return(1);
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
} else {
flag = CVodeReInit(cvode_mem, T0, c);
if(check_flag(&flag, "CVodeReInit", 1)) return(1);
flag = CVSpilsSetPrecType(cvode_mem, jpre);
check_flag(&flag, "CVSpilsSetPrecType", 1);
flag = CVSpilsSetGSType(cvode_mem, gstype);
if(check_flag(&flag, "CVSpilsSetGSType", 1)) return(1);
}
/* Print initial values */
if (firstrun) PrintAllSpecies(c, ns, mxns, T0);
/* Loop over output points, call CVode, print sample solution values. */
tout = T1;
for (iout = 1; iout <= NOUT; iout++) {
flag = CVode(cvode_mem, tout, c, &t, CV_NORMAL);
PrintOutput(cvode_mem, t);
if (firstrun && (iout % 3 == 0)) PrintAllSpecies(c, ns, mxns, t);
if(check_flag(&flag, "CVode", 1)) break;
if (tout > RCONST(0.9)) tout += DTOUT;
else tout *= TOUT_MULT;
}
/* Print final statistics, and loop for next case */
PrintFinalStats(cvode_mem);
}
}
/* Free all memory */
CVodeFree(&cvode_mem);
N_VDestroy_Serial(c);
FreeUserData(wdata);
return(0);
}
int CVBBDPrecInit(void *cvode_mem, int Nlocal,
int mudq, int mldq,
int mukeep, int mlkeep,
realtype dqrely,
CVLocalFn gloc, CVCommFn cfn)
{
CVodeMem cv_mem;
CVSpilsMem cvspils_mem;
CVBBDPrecData pdata;
int muk, mlk, storage_mu;
int flag;
if (cvode_mem == NULL) {
CVProcessError(NULL, CVSPILS_MEM_NULL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_MEM_NULL);
return(CVSPILS_MEM_NULL);
}
cv_mem = (CVodeMem) cvode_mem;
/* Test if one of the SPILS linear solvers has been attached */
if (cv_mem->cv_lmem == NULL) {
CVProcessError(cv_mem, CVSPILS_LMEM_NULL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_LMEM_NULL);
return(CVSPILS_LMEM_NULL);
}
cvspils_mem = (CVSpilsMem) cv_mem->cv_lmem;
/* Test if the NVECTOR package is compatible with the BLOCK BAND preconditioner */
if(vec_tmpl->ops->nvgetarraypointer == NULL) {
CVProcessError(cv_mem, CVSPILS_ILL_INPUT, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_BAD_NVECTOR);
return(CVSPILS_ILL_INPUT);
}
/* Allocate data memory */
pdata = NULL;
pdata = (CVBBDPrecData) malloc(sizeof *pdata);
if (pdata == NULL) {
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Set pointers to gloc and cfn; load half-bandwidths */
pdata->cvode_mem = cvode_mem;
pdata->gloc = gloc;
pdata->cfn = cfn;
pdata->mudq = MIN(Nlocal-1, MAX(0,mudq));
pdata->mldq = MIN(Nlocal-1, MAX(0,mldq));
muk = MIN(Nlocal-1, MAX(0,mukeep));
mlk = MIN(Nlocal-1, MAX(0,mlkeep));
pdata->mukeep = muk;
pdata->mlkeep = mlk;
/* Allocate memory for saved Jacobian */
pdata->savedJ = NewBandMat(Nlocal, muk, mlk, muk);
if (pdata->savedJ == NULL) {
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Allocate memory for preconditioner matrix */
storage_mu = MIN(Nlocal-1, muk + mlk);
pdata->savedP = NULL;
pdata->savedP = NewBandMat(Nlocal, muk, mlk, storage_mu);
if (pdata->savedP == NULL) {
DestroyMat(pdata->savedJ);
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Allocate memory for pivots */
pdata->pivots = NULL;
pdata->pivots = NewIntArray(Nlocal);
if (pdata->savedJ == NULL) {
DestroyMat(pdata->savedP);
DestroyMat(pdata->savedJ);
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBBDPRE", "CVBBDPrecInit", MSGBBD_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Set pdata->dqrely based on input dqrely (0 implies default). */
pdata->dqrely = (dqrely > ZERO) ? dqrely : RSqrt(uround);
/* Store Nlocal to be used in CVBBDPrecSetup */
pdata->n_local = Nlocal;
/* Set work space sizes and initialize nge */
pdata->rpwsize = Nlocal*(muk + 2*mlk + storage_mu + 2);
pdata->ipwsize = Nlocal;
pdata->nge = 0;
/* Overwrite the P_data field in the SPILS memory */
cvspils_mem->s_P_data = pdata;
/* Attach the pfree function */
cvspils_mem->s_pfree = CVBBDPrecFree;
/* Attach preconditioner solve and setup functions */
flag = CVSpilsSetPreconditioner(cvode_mem, CVBBDPrecSetup, CVBBDPrecSolve);
return(flag);
}
int main(int argc, char *argv[])
{
void *cvode_mem;
UserData data;
realtype abstol, reltol, t, tout;
N_Vector y;
int iout, flag;
realtype *pbar;
int is, *plist;
N_Vector *uS;
booleantype sensi, err_con;
int sensi_meth;
pbar = NULL;
plist = NULL;
uS = NULL;
y = NULL;
data = NULL;
cvode_mem = NULL;
/* Process arguments */
ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);
/* Problem parameters */
data = AllocUserData();
if(check_flag((void *)data, "AllocUserData", 2)) return(1);
InitUserData(data);
/* Initial states */
y = N_VNew_Serial(NEQ);
if(check_flag((void *)y, "N_VNew_Serial", 0)) return(1);
SetInitialProfiles(y, data->dx, data->dz);
/* Tolerances */
abstol=ATOL;
reltol=RTOL;
/* Create CVODES object */
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
flag = CVodeSetFdata(cvode_mem, data);
if(check_flag(&flag, "CVodeSetFdata", 1)) return(1);
flag = CVodeSetMaxNumSteps(cvode_mem, 2000);
if(check_flag(&flag, "CVodeSetMaxNumSteps", 1)) return(1);
/* Allocate CVODES memory */
flag = CVodeMalloc(cvode_mem, f, T0, y, CV_SS, reltol, &abstol);
if(check_flag(&flag, "CVodeMalloc", 1)) return(1);
/* Attach CVSPGMR linear solver */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, data);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
printf("\n2-species diurnal advection-diffusion problem\n");
/* Forward sensitivity analysis */
if(sensi) {
plist = (int *) malloc(NS * sizeof(int));
if(check_flag((void *)plist, "malloc", 2)) return(1);
for(is=0; is<NS; is++) plist[is] = is;
pbar = (realtype *) malloc(NS * sizeof(realtype));
if(check_flag((void *)pbar, "malloc", 2)) return(1);
for(is=0; is<NS; is++) pbar[is] = data->p[plist[is]];
uS = N_VCloneVectorArray_Serial(NS, y);
if(check_flag((void *)uS, "N_VCloneVectorArray_Serial", 0)) return(1);
for(is=0;is<NS;is++)
N_VConst(ZERO,uS[is]);
flag = CVodeSensMalloc(cvode_mem, NS, sensi_meth, uS);
if(check_flag(&flag, "CVodeSensMalloc", 1)) return(1);
flag = CVodeSetSensErrCon(cvode_mem, err_con);
if(check_flag(&flag, "CVodeSetSensErrCon", 1)) return(1);
flag = CVodeSetSensRho(cvode_mem, ZERO);
if(check_flag(&flag, "CVodeSetSensRho", 1)) return(1);
flag = CVodeSetSensParams(cvode_mem, data->p, pbar, plist);
if(check_flag(&flag, "CVodeSetSensParams", 1)) return(1);
printf("Sensitivity: YES ");
if(sensi_meth == CV_SIMULTANEOUS)
printf("( SIMULTANEOUS +");
else
if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
else printf("( STAGGERED1 +");
if(err_con) printf(" FULL ERROR CONTROL )");
else printf(" PARTIAL ERROR CONTROL )");
} else {
printf("Sensitivity: NO ");
}
/* In loop over output points, call CVode, print results, test for error */
printf("\n\n");
printf("========================================================================\n");
printf(" T Q H NST Bottom left Top right \n");
printf("========================================================================\n");
for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, y, &t, CV_NORMAL);
if(check_flag(&flag, "CVode", 1)) break;
PrintOutput(cvode_mem, t, y);
if (sensi) {
flag = CVodeGetSens(cvode_mem, t, uS);
if(check_flag(&flag, "CVodeGetSens", 1)) break;
PrintOutputS(uS);
}
printf("------------------------------------------------------------------------\n");
}
/* Print final statistics */
PrintFinalStats(cvode_mem, sensi);
/* Free memory */
N_VDestroy_Serial(y);
if (sensi) {
N_VDestroyVectorArray_Serial(uS, NS);
free(pbar);
free(plist);
}
FreeUserData(data);
CVodeFree(&cvode_mem);
return(0);
}
int main(int argc, char *argv[])
{
realtype abstol, reltol, t, tout;
N_Vector u;
UserData data;
PreconData predata;
void *cvode_mem;
int iout, flag, my_pe, npes;
long int neq, local_N;
MPI_Comm comm;
u = NULL;
data = NULL;
predata = NULL;
cvode_mem = NULL;
/* Set problem size neq */
neq = NVARS*MX*MY;
/* Get processor number and total number of pe's */
MPI_Init(&argc, &argv);
comm = MPI_COMM_WORLD;
MPI_Comm_size(comm, &npes);
MPI_Comm_rank(comm, &my_pe);
if (npes != NPEX*NPEY) {
if (my_pe == 0)
fprintf(stderr, "\nMPI_ERROR(0): npes = %d is not equal to NPEX*NPEY = %d\n\n",
npes,NPEX*NPEY);
MPI_Finalize();
return(1);
}
/* Set local length */
local_N = NVARS*MXSUB*MYSUB;
/* Allocate and load user data block; allocate preconditioner block */
data = (UserData) malloc(sizeof *data);
if (check_flag((void *)data, "malloc", 2, my_pe)) MPI_Abort(comm, 1);
InitUserData(my_pe, comm, data);
predata = AllocPreconData (data);
/* Allocate u, and set initial values and tolerances */
u = N_VNew_Parallel(comm, local_N, neq);
if (check_flag((void *)u, "N_VNew", 0, my_pe)) MPI_Abort(comm, 1);
SetInitialProfiles(u, data);
abstol = ATOL; reltol = RTOL;
/*
Call CVodeCreate to create the solver memory:
CV_BDF specifies the Backward Differentiation Formula
CV_NEWTON specifies a Newton iteration
A pointer to the integrator memory is returned and stored in cvode_mem.
*/
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if (check_flag((void *)cvode_mem, "CVodeCreate", 0, my_pe)) MPI_Abort(comm, 1);
/* Set the pointer to user-defined data */
flag = CVodeSetFdata(cvode_mem, data);
if (check_flag(&flag, "CVodeSetFdata", 1, my_pe)) MPI_Abort(comm, 1);
/*
Call CVodeMalloc to initialize the integrator memory:
cvode_mem is the pointer to the integrator memory returned by CVodeCreate
f is the user's right hand side function in y'=f(t,y)
T0 is the initial time
u is the initial dependent variable vector
CV_SS specifies scalar relative and absolute tolerances
reltol is the relative tolerance
&abstol is a pointer to the scalar absolute tolerance
*/
flag = CVodeMalloc(cvode_mem, f, T0, u, CV_SS, reltol, &abstol);
if (check_flag(&flag, "CVodeMalloc", 1, my_pe)) MPI_Abort(comm, 1);
/* Call CVSpgmr to specify the linear solver CVSPGMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if (check_flag(&flag, "CVSpgmr", 1, my_pe)) MPI_Abort(comm, 1);
/* Set preconditioner setup and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, predata);
if (check_flag(&flag, "CVSpilsSetPreconditioner", 1, my_pe)) MPI_Abort(comm, 1);
if (my_pe == 0)
printf("\n2-species diurnal advection-diffusion problem\n\n");
/* In loop over output points, call CVode, print results, test for error */
for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
if (check_flag(&flag, "CVode", 1, my_pe)) break;
PrintOutput(cvode_mem, my_pe, comm, u, t);
}
/* Print final statistics */
if (my_pe == 0) PrintFinalStats(cvode_mem);
/* Free memory */
N_VDestroy_Parallel(u);
free(data);
FreePreconData(predata);
CVodeFree(&cvode_mem);
MPI_Finalize();
return(0);
}
int main()
{
realtype abstol, reltol, t, tout;
N_Vector u;
UserData data;
void *cvode_mem;
int iout, flag;
u = NULL;
data = NULL;
cvode_mem = NULL;
/* Allocate memory, and set problem data, initial values, tolerances */
u = N_VNew_Serial(NEQ);
if(check_flag((void *)u, "N_VNew_Serial", 0)) return(1);
data = AllocUserData();
if(check_flag((void *)data, "AllocUserData", 2)) return(1);
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
abstol=ATOL;
reltol=RTOL;
/* Call CVodeCreate to create the solver memory and specify the
* Backward Differentiation Formula and the use of a Newton iteration */
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
/* Set the pointer to user-defined data */
flag = CVodeSetUserData(cvode_mem, data);
if(check_flag(&flag, "CVodeSetUserData", 1)) return(1);
/* Call CVodeInit to initialize the integrator memory and specify the
* user's right hand side function in u'=f(t,u), the inital time T0, and
* the initial dependent variable vector u. */
flag = CVodeInit(cvode_mem, f, T0, u);
if(check_flag(&flag, "CVodeInit", 1)) return(1);
/* Call CVodeSStolerances to specify the scalar relative tolerance
* and scalar absolute tolerances */
flag = CVodeSStolerances(cvode_mem, reltol, abstol);
if (check_flag(&flag, "CVodeSStolerances", 1)) return(1);
/* Call CVSpgmr to specify the linear solver CVSPGMR
* with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
/* set the JAcobian-times-vector function */
flag = CVSpilsSetJacTimesVecFn(cvode_mem, jtv);
if(check_flag(&flag, "CVSpilsSetJacTimesVecFn", 1)) return(1);
/* Set the preconditioner solve and setup functions */
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
/* In loop over output points, call CVode, print results, test for error */
printf(" \n2-species diurnal advection-diffusion problem\n\n");
for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
PrintOutput(cvode_mem, u, t);
if(check_flag(&flag, "CVode", 1)) break;
}
PrintFinalStats(cvode_mem);
/* Free memory */
N_VDestroy_Serial(u);
FreeUserData(data);
CVodeFree(&cvode_mem);
return(0);
}
int main(void)
{
realtype abstol, reltol, t, tout;
N_Vector u;
UserData data;
void *cvode_mem;
int linsolver, iout, flag;
u = NULL;
data = NULL;
cvode_mem = NULL;
/* Allocate memory, and set problem data, initial values, tolerances */
u = N_VNew_Serial(NEQ);
if(check_flag((void *)u, "N_VNew_Serial", 0)) return(1);
data = AllocUserData();
if(check_flag((void *)data, "AllocUserData", 2)) return(1);
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
abstol=ATOL;
reltol=RTOL;
/* Call CVodeCreate to create the solver memory and specify the
* Backward Differentiation Formula and the use of a Newton iteration */
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
/* Set the pointer to user-defined data */
flag = CVodeSetUserData(cvode_mem, data);
if(check_flag(&flag, "CVodeSetUserData", 1)) return(1);
/* Call CVodeInit to initialize the integrator memory and specify the
* user's right hand side function in u'=f(t,u), the inital time T0, and
* the initial dependent variable vector u. */
flag = CVodeInit(cvode_mem, f, T0, u);
if(check_flag(&flag, "CVodeInit", 1)) return(1);
/* Call CVodeSStolerances to specify the scalar relative tolerance
* and scalar absolute tolerances */
flag = CVodeSStolerances(cvode_mem, reltol, abstol);
if (check_flag(&flag, "CVodeSStolerances", 1)) return(1);
/* START: Loop through SPGMR, SPBCG and SPTFQMR linear solver modules */
for (linsolver = 0; linsolver < 3; ++linsolver) {
if (linsolver != 0) {
/* Re-initialize user data */
InitUserData(data);
SetInitialProfiles(u, data->dx, data->dy);
/* Re-initialize CVode for the solution of the same problem, but
using a different linear solver module */
flag = CVodeReInit(cvode_mem, T0, u);
if (check_flag(&flag, "CVodeReInit", 1)) return(1);
}
/* Attach a linear solver module */
switch(linsolver) {
/* (a) SPGMR */
case(USE_SPGMR):
/* Print header */
printf(" -------");
printf(" \n| SPGMR |\n");
printf(" -------\n");
/* Call CVSpgmr to specify the linear solver CVSPGMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
/* Set modified Gram-Schmidt orthogonalization, preconditioner
setup and solve routines Precond and PSolve, and the pointer
to the user-defined block data */
flag = CVSpilsSetGSType(cvode_mem, MODIFIED_GS);
if(check_flag(&flag, "CVSpilsSetGSType", 1)) return(1);
break;
/* (b) SPBCG */
case(USE_SPBCG):
/* Print header */
printf(" -------");
printf(" \n| SPBCG |\n");
printf(" -------\n");
/* Call CVSpbcg to specify the linear solver CVSPBCG
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSpbcg(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpbcg", 1)) return(1);
break;
/* (c) SPTFQMR */
case(USE_SPTFQMR):
/* Print header */
printf(" ---------");
printf(" \n| SPTFQMR |\n");
printf(" ---------\n");
/* Call CVSptfqmr to specify the linear solver CVSPTFQMR
with left preconditioning and the maximum Krylov dimension maxl */
flag = CVSptfqmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSptfqmr", 1)) return(1);
break;
}
/* Set preconditioner setup and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
/* In loop over output points, call CVode, print results, test for error */
printf(" \n2-species diurnal advection-diffusion problem\n\n");
for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
PrintOutput(cvode_mem, u, t);
if(check_flag(&flag, "CVode", 1)) break;
}
PrintFinalStats(cvode_mem, linsolver);
} /* END: Loop through SPGMR, SPBCG and SPTFQMR linear solver modules */
/* Free memory */
N_VDestroy_Serial(u);
FreeUserData(data);
CVodeFree(&cvode_mem);
return(0);
}
PetscErrorCode TSSetUp_Sundials_Nonlinear(TS ts)
{
TS_Sundials *cvode = (TS_Sundials*)ts->data;
PetscErrorCode ierr;
PetscInt glosize,locsize,i,flag;
PetscScalar *y_data,*parray;
void *mem;
const PCType pctype;
PetscTruth pcnone;
Vec sol = ts->vec_sol;
PetscFunctionBegin;
ierr = PCSetFromOptions(cvode->pc);CHKERRQ(ierr);
/* get the vector size */
ierr = VecGetSize(ts->vec_sol,&glosize);CHKERRQ(ierr);
ierr = VecGetLocalSize(ts->vec_sol,&locsize);CHKERRQ(ierr);
/* allocate the memory for N_Vec y */
cvode->y = N_VNew_Parallel(cvode->comm_sundials,locsize,glosize);
if (!cvode->y) SETERRQ(1,"cvode->y is not allocated");
/* initialize N_Vec y: copy ts->vec_sol to cvode->y */
ierr = VecGetArray(ts->vec_sol,&parray);CHKERRQ(ierr);
y_data = (PetscScalar *) N_VGetArrayPointer(cvode->y);
for (i = 0; i < locsize; i++) y_data[i] = parray[i];
/*ierr = PetscMemcpy(y_data,parray,locsize*sizeof(PETSC_SCALAR)); CHKERRQ(ierr);*/
ierr = VecRestoreArray(ts->vec_sol,PETSC_NULL);CHKERRQ(ierr);
ierr = VecDuplicate(ts->vec_sol,&cvode->update);CHKERRQ(ierr);
ierr = VecDuplicate(ts->vec_sol,&cvode->func);CHKERRQ(ierr);
ierr = PetscLogObjectParent(ts,cvode->update);CHKERRQ(ierr);
ierr = PetscLogObjectParent(ts,cvode->func);CHKERRQ(ierr);
/*
Create work vectors for the TSPSolve_Sundials() routine. Note these are
allocated with zero space arrays because the actual array space is provided
by Sundials and set using VecPlaceArray().
*/
ierr = VecCreateMPIWithArray(((PetscObject)ts)->comm,locsize,PETSC_DECIDE,0,&cvode->w1);CHKERRQ(ierr);
ierr = VecCreateMPIWithArray(((PetscObject)ts)->comm,locsize,PETSC_DECIDE,0,&cvode->w2);CHKERRQ(ierr);
ierr = PetscLogObjectParent(ts,cvode->w1);CHKERRQ(ierr);
ierr = PetscLogObjectParent(ts,cvode->w2);CHKERRQ(ierr);
/* Call CVodeCreate to create the solver memory and the use of a Newton iteration */
mem = CVodeCreate(cvode->cvode_type, CV_NEWTON);
if (!mem) SETERRQ(PETSC_ERR_MEM,"CVodeCreate() fails");
cvode->mem = mem;
/* Set the pointer to user-defined data */
flag = CVodeSetUserData(mem, ts);
if (flag) SETERRQ(PETSC_ERR_LIB,"CVodeSetUserData() fails");
/* Call CVodeInit to initialize the integrator memory and specify the
* user's right hand side function in u'=f(t,u), the inital time T0, and
* the initial dependent variable vector cvode->y */
flag = CVodeInit(mem,TSFunction_Sundials,ts->ptime,cvode->y);
if (flag){
SETERRQ1(PETSC_ERR_LIB,"CVodeInit() fails, flag %d",flag);
}
flag = CVodeSStolerances(mem,cvode->reltol,cvode->abstol);
if (flag){
SETERRQ1(PETSC_ERR_LIB,"CVodeSStolerances() fails, flag %d",flag);
}
/* initialize the number of steps */
ierr = TSMonitor(ts,ts->steps,ts->ptime,sol);CHKERRQ(ierr);
/* call CVSpgmr to use GMRES as the linear solver. */
/* setup the ode integrator with the given preconditioner */
ierr = PCGetType(cvode->pc,&pctype);CHKERRQ(ierr);
ierr = PetscTypeCompare((PetscObject)cvode->pc,PCNONE,&pcnone);CHKERRQ(ierr);
if (pcnone){
flag = CVSpgmr(mem,PREC_NONE,0);
if (flag) SETERRQ1(PETSC_ERR_LIB,"CVSpgmr() fails, flag %d",flag);
} else {
flag = CVSpgmr(mem,PREC_LEFT,0);
if (flag) SETERRQ1(PETSC_ERR_LIB,"CVSpgmr() fails, flag %d",flag);
/* Set preconditioner and solve routines Precond and PSolve,
and the pointer to the user-defined block data */
flag = CVSpilsSetPreconditioner(mem,TSPrecond_Sundials,TSPSolve_Sundials);
if (flag) SETERRQ1(PETSC_ERR_LIB,"CVSpilsSetPreconditioner() fails, flag %d", flag);
}
flag = CVSpilsSetGSType(mem, MODIFIED_GS);
if (flag) SETERRQ1(PETSC_ERR_LIB,"CVSpgmrSetGSType() fails, flag %d",flag);
PetscFunctionReturn(0);
}
int CVBandPrecInit(void *cvode_mem, int N, int mu, int ml)
{
CVodeMem cv_mem;
CVSpilsMem cvspils_mem;
CVBandPrecData pdata;
int mup, mlp, storagemu;
int flag;
if (cvode_mem == NULL) {
CVProcessError(NULL, CVSPILS_MEM_NULL, "CVBANDPRE", "CVBandPrecInit", MSGBP_MEM_NULL);
return(CVSPILS_MEM_NULL);
}
cv_mem = (CVodeMem) cvode_mem;
/* Test if one of the SPILS linear solvers has been attached */
if (cv_mem->cv_lmem == NULL) {
CVProcessError(cv_mem, CVSPILS_LMEM_NULL, "CVBANDPRE", "CVBandPrecInit", MSGBP_LMEM_NULL);
return(CVSPILS_LMEM_NULL);
}
cvspils_mem = (CVSpilsMem) cv_mem->cv_lmem;
/* Test if the NVECTOR package is compatible with the BAND preconditioner */
if(vec_tmpl->ops->nvgetarraypointer == NULL) {
CVProcessError(cv_mem, CVSPILS_ILL_INPUT, "CVBANDPRE", "CVBandPrecInit", MSGBP_BAD_NVECTOR);
return(CVSPILS_ILL_INPUT);
}
pdata = NULL;
pdata = (CVBandPrecData) malloc(sizeof *pdata); /* Allocate data memory */
if (pdata == NULL) {
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBANDPRE", "CVBandPrecInit", MSGBP_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Load pointers and bandwidths into pdata block. */
pdata->cvode_mem = cvode_mem;
pdata->N = N;
pdata->mu = mup = MIN(N-1, MAX(0,mu));
pdata->ml = mlp = MIN(N-1, MAX(0,ml));
/* Initialize nfeBP counter */
pdata->nfeBP = 0;
/* Allocate memory for saved banded Jacobian approximation. */
pdata->savedJ = NULL;
pdata->savedJ = NewBandMat(N, mup, mlp, mup);
if (pdata->savedJ == NULL) {
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBANDPRE", "CVBandPrecInit", MSGBP_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Allocate memory for banded preconditioner. */
storagemu = MIN(N-1, mup+mlp);
pdata->savedP = NULL;
pdata->savedP = NewBandMat(N, mup, mlp, storagemu);
if (pdata->savedP == NULL) {
DestroyMat(pdata->savedJ);
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBANDPRE", "CVBandPrecInit", MSGBP_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Allocate memory for pivot array. */
pdata->pivots = NULL;
pdata->pivots = NewIntArray(N);
if (pdata->savedJ == NULL) {
DestroyMat(pdata->savedP);
DestroyMat(pdata->savedJ);
free(pdata); pdata = NULL;
CVProcessError(cv_mem, CVSPILS_MEM_FAIL, "CVBANDPRE", "CVBandPrecInit", MSGBP_MEM_FAIL);
return(CVSPILS_MEM_FAIL);
}
/* Overwrite the P_data field in the SPILS memory */
cvspils_mem->s_P_data = pdata;
/* Attach the pfree function */
cvspils_mem->s_pfree = CVBandPrecFree;
/* Attach preconditioner solve and setup functions */
flag = CVSpilsSetPreconditioner(cvode_mem, CVBandPrecSetup, CVBandPrecSolve);
return(flag);
}
int Solver::init(rhsfunc f, int argc, char **argv, bool restarting, int nout, real tstep)
{
#ifdef CHECK
int msg_point = msg_stack.push("Initialising CVODE solver");
#endif
/// Call the generic initialisation first
if(GenericSolver::init(f, argc, argv, restarting, nout, tstep))
return 1;
// Save nout and tstep for use in run
NOUT = nout;
TIMESTEP = tstep;
output.write("Initialising SUNDIALS' CVODE solver\n");
// Set the rhs solver function
func = f;
// Calculate number of variables (in generic_solver)
int local_N = getLocalN();
// Get total problem size
int neq;
if(MPI_Allreduce(&local_N, &neq, 1, MPI_INT, MPI_SUM, MPI_COMM_WORLD)) {
output.write("\tERROR: MPI_Allreduce failed!\n");
return 1;
}
output.write("\t3d fields = %d, 2d fields = %d neq=%d, local_N=%d\n",
n3Dvars(), n2Dvars(), neq, local_N);
// Allocate memory
if((uvec = N_VNew_Parallel(MPI_COMM_WORLD, local_N, neq)) == NULL)
bout_error("ERROR: SUNDIALS memory allocation failed\n");
// Put the variables into uvec
if(save_vars(NV_DATA_P(uvec)))
bout_error("\tERROR: Initial variable value not set\n");
/// Get options
real abstol, reltol;
int maxl;
int mudq, mldq;
int mukeep, mlkeep;
bool use_precon, use_jacobian;
real max_timestep;
bool adams_moulton, func_iter; // Time-integration method
options.setSection("solver");
options.get("mudq", mudq, n3Dvars()*(MXSUB+2));
options.get("mldq", mldq, n3Dvars()*(MXSUB+2));
options.get("mukeep", mukeep, n3Dvars()+n2Dvars());
options.get("mlkeep", mlkeep, n3Dvars()+n2Dvars());
options.get("ATOL", abstol, 1.0e-12);
options.get("RTOL", reltol, 1.0e-5);
options.get("maxl", maxl, 5);
options.get("use_precon", use_precon, false);
options.get("use_jacobian", use_jacobian, false);
options.get("max_timestep", max_timestep, -1.);
int mxsteps; // Maximum number of steps to take between outputs
options.get("pvode_mxstep", mxsteps, 500);
options.get("adams_moulton", adams_moulton, false);
int lmm = CV_BDF;
if(adams_moulton) {
// By default use functional iteration for Adams-Moulton
lmm = CV_ADAMS;
output.write("\tUsing Adams-Moulton implicit multistep method\n");
options.get("func_iter", func_iter, true);
}else {
output.write("\tUsing BDF method\n");
// Use Newton iteration for BDF
options.get("func_iter", func_iter, false);
}
int iter = CV_NEWTON;
if(func_iter)
iter = CV_FUNCTIONAL;
// Call CVodeCreate
if((cvode_mem = CVodeCreate(lmm, iter)) == NULL)
bout_error("ERROR: CVodeCreate failed\n");
if( CVodeSetUserData(cvode_mem, this) < 0 ) // For callbacks, need pointer to solver object
bout_error("ERROR: CVodeSetUserData failed\n");
if( CVodeInit(cvode_mem, cvode_rhs, simtime, uvec) < 0 )
bout_error("ERROR: CVodeInit failed\n");
if( CVodeSStolerances(cvode_mem, reltol, abstol) < 0 )
bout_error("ERROR: CVodeSStolerances failed\n");
CVodeSetMaxNumSteps(cvode_mem, mxsteps);
if(max_timestep > 0.0) {
// Setting a maximum timestep
CVodeSetMaxStep(cvode_mem, max_timestep);
}
/// Newton method can include Preconditioners and Jacobian function
if(!func_iter) {
output.write("\tUsing Newton iteration\n");
/// Set Preconditioner
if(use_precon) {
if( CVSpgmr(cvode_mem, PREC_LEFT, maxl) != CVSPILS_SUCCESS )
bout_error("ERROR: CVSpgmr failed\n");
if(prefunc == NULL) {
output.write("\tUsing BBD preconditioner\n");
if( CVBBDPrecInit(cvode_mem, local_N, mudq, mldq,
mukeep, mlkeep, ZERO, cvode_bbd_rhs, NULL) )
bout_error("ERROR: CVBBDPrecInit failed\n");
}else {
output.write("\tUsing user-supplied preconditioner\n");
if( CVSpilsSetPreconditioner(cvode_mem, NULL, cvode_pre) )
bout_error("ERROR: CVSpilsSetPreconditioner failed\n");
}
}else {
// Not using preconditioning
output.write("\tNo preconditioning\n");
if( CVSpgmr(cvode_mem, PREC_NONE, maxl) != CVSPILS_SUCCESS )
bout_error("ERROR: CVSpgmr failed\n");
}
/// Set Jacobian-vector multiplication function
if((use_jacobian) && (jacfunc != NULL)) {
output.write("\tUsing user-supplied Jacobian function\n");
if( CVSpilsSetJacTimesVecFn(cvode_mem, cvode_jac) != CVSPILS_SUCCESS )
bout_error("ERROR: CVSpilsSetJacTimesVecFn failed\n");
}else
output.write("\tUsing difference quotient approximation for Jacobian\n");
}else {
output.write("\tUsing Functional iteration\n");
}
#ifdef CHECK
msg_stack.pop(msg_point);
#endif
return(0);
}
int main(int argc, char *argv[])
{
realtype abstol=ATOL, reltol=RTOL, t;
N_Vector c;
WebData wdata;
void *cvode_mem;
int flag, ncheck;
int indexB;
realtype reltolB=RTOL, abstolB=ATOL;
N_Vector cB;
c = NULL;
cB = NULL;
wdata = NULL;
cvode_mem = NULL;
/* Allocate and initialize user data */
wdata = AllocUserData();
if(check_flag((void *)wdata, "AllocUserData", 2)) return(1);
InitUserData(wdata);
/* Set-up forward problem */
/* Initializations */
c = N_VNew_Serial(NEQ+1);
if(check_flag((void *)c, "N_VNew_Serial", 0)) return(1);
CInit(c, wdata);
/* Call CVodeCreate/CVodeInit for forward run */
printf("\nCreate and allocate CVODES memory for forward run\n");
cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);
wdata->cvode_mem = cvode_mem; /* Used in Precond */
flag = CVodeSetUserData(cvode_mem, wdata);
if(check_flag(&flag, "CVodeSetUserData", 1)) return(1);
flag = CVodeInit(cvode_mem, f, T0, c);
if(check_flag(&flag, "CVodeInit", 1)) return(1);
flag = CVodeSStolerances(cvode_mem, reltol, abstol);
if(check_flag(&flag, "CVodeSStolerances", 1)) return(1);
/* Call CVSpgmr for forward run */
flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmr", 1)) return(1);
flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve);
if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);
/* Set-up adjoint calculations */
printf("\nAllocate global memory\n");
flag = CVodeAdjInit(cvode_mem, NSTEPS, CV_HERMITE);
if(check_flag(&flag, "CVadjInit", 1)) return(1);
/* Perform forward run */
printf("\nForward integration\n");
flag = CVodeF(cvode_mem, TOUT, c, &t, CV_NORMAL, &ncheck);
if(check_flag(&flag, "CVodeF", 1)) return(1);
printf("\nncheck = %d\n", ncheck);
#if defined(SUNDIALS_EXTENDED_PRECISION)
printf("\n G = int_t int_x int_y c%d(t,x,y) dx dy dt = %Lf \n\n",
ISPEC, NV_DATA_S(c)[NEQ]);
#else
printf("\n G = int_t int_x int_y c%d(t,x,y) dx dy dt = %f \n\n",
ISPEC, NV_DATA_S(c)[NEQ]);
#endif
/* Set-up backward problem */
/* Allocate cB */
cB = N_VNew_Serial(NEQ);
if(check_flag((void *)cB, "N_VNew_Serial", 0)) return(1);
/* Initialize cB = 0 */
N_VConst(ZERO, cB);
/* Create and allocate CVODES memory for backward run */
printf("\nCreate and allocate CVODES memory for backward run\n");
flag = CVodeCreateB(cvode_mem, CV_BDF, CV_NEWTON, &indexB);
if(check_flag(&flag, "CVodeCreateB", 1)) return(1);
flag = CVodeSetUserDataB(cvode_mem, indexB, wdata);
if(check_flag(&flag, "CVodeSetUserDataB", 1)) return(1);
flag = CVodeSetMaxNumStepsB(cvode_mem, indexB, 1000);
if(check_flag(&flag, "CVodeSetMaxNumStepsB", 1)) return(1);
flag = CVodeInitB(cvode_mem, indexB, fB, TOUT, cB);
if(check_flag(&flag, "CVodeInitB", 1)) return(1);
flag = CVodeSStolerancesB(cvode_mem, indexB, reltolB, abstolB);
if(check_flag(&flag, "CVodeSStolerancesB", 1)) return(1);
wdata->indexB = indexB;
/* Call CVSpgmr */
flag = CVSpgmrB(cvode_mem, indexB, PREC_LEFT, 0);
if(check_flag(&flag, "CVSpgmrB", 1)) return(1);
flag = CVSpilsSetPreconditionerB(cvode_mem, indexB, PrecondB, PSolveB);
if(check_flag(&flag, "CVSpilsSetPreconditionerB", 1)) return(1);
/* Perform backward integration */
printf("\nBackward integration\n");
flag = CVodeB(cvode_mem, T0, CV_NORMAL);
if(check_flag(&flag, "CVodeB", 1)) return(1);
flag = CVodeGetB(cvode_mem, indexB, &t, cB);
if(check_flag(&flag, "CVodeGetB", 1)) return(1);
PrintOutput(cB, NS, MXNS, wdata);
/* Free all memory */
CVodeFree(&cvode_mem);
N_VDestroy_Serial(c);
N_VDestroy_Serial(cB);
FreeUserData(wdata);
return(0);
}
