PetscErrorCode KSPSetFromOptions_Chebyshev(KSP ksp)
{
KSP_Chebyshev *cheb = (KSP_Chebyshev*)ksp->data;
PetscErrorCode ierr;
PetscInt two = 2,four = 4;
PetscReal tform[4] = {PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE};
PetscBool flg;
PetscFunctionBegin;
ierr = PetscOptionsHead("KSP Chebyshev Options");CHKERRQ(ierr);
ierr = PetscOptionsInt("-ksp_chebyshev_eststeps","Number of est steps in Chebyshev","",cheb->eststeps,&cheb->eststeps,NULL);CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-ksp_chebyshev_eigenvalues","extreme eigenvalues","KSPChebyshevSetEigenvalues",&cheb->emin,&two,0);CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-ksp_chebyshev_estimate_eigenvalues","estimate eigenvalues using a Krylov method, then use this transform for Chebyshev eigenvalue bounds","KSPChebyshevSetEstimateEigenvalues",tform,&four,&flg);CHKERRQ(ierr);
if (flg) {
switch (four) {
case 0:
ierr = KSPChebyshevSetEstimateEigenvalues(ksp,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
break;
case 2: /* Base everything on the max eigenvalues */
ierr = KSPChebyshevSetEstimateEigenvalues(ksp,PETSC_DECIDE,tform[0],PETSC_DECIDE,tform[1]);CHKERRQ(ierr);
break;
case 4: /* Use the full 2x2 linear transformation */
ierr = KSPChebyshevSetEstimateEigenvalues(ksp,tform[0],tform[1],tform[2],tform[3]);CHKERRQ(ierr);
break;
default: SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_ARG_INCOMP,"Must specify either 0, 2, or 4 parameters for eigenvalue estimation");
}
}
if (cheb->kspest) {
PetscBool estrand = PETSC_FALSE;
ierr = PetscOptionsBool("-ksp_chebyshev_estimate_eigenvalues_random","Use Random right hand side for eigenvalue estimation","KSPChebyshevEstEigSetRandom",estrand,&estrand,NULL);CHKERRQ(ierr);
if (estrand) {
PetscRandom random;
ierr = PetscRandomCreate(PetscObjectComm((PetscObject)ksp),&random);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)random,((PetscObject)ksp)->prefix);CHKERRQ(ierr);
ierr = PetscObjectAppendOptionsPrefix((PetscObject)random,"ksp_chebyshev_estimate_eigenvalues_");CHKERRQ(ierr);
ierr = PetscRandomSetFromOptions(random);CHKERRQ(ierr);
ierr = KSPChebyshevEstEigSetRandom(ksp,random);CHKERRQ(ierr);
ierr = PetscRandomDestroy(&random);CHKERRQ(ierr);
}
}
if (cheb->kspest) {
/* Mask the PC so that PCSetFromOptions does not do anything */
ierr = KSPSetPC(cheb->kspest,cheb->pcnone);CHKERRQ(ierr);
ierr = KSPSetOptionsPrefix(cheb->kspest,((PetscObject)ksp)->prefix);CHKERRQ(ierr);
ierr = KSPAppendOptionsPrefix(cheb->kspest,"est_");CHKERRQ(ierr);
if (!((PetscObject)cheb->kspest)->type_name) {
ierr = KSPSetType(cheb->kspest,KSPGMRES);CHKERRQ(ierr);
}
ierr = KSPSetFromOptions(cheb->kspest);CHKERRQ(ierr);
ierr = KSPSetPC(cheb->kspest,ksp->pc);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
PetscInt degrees[1000],ndegrees,npoints,two;
PetscReal points[1000],weights[1000],interval[2];
PetscBool flg;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Discretization tools test options",NULL);CHKERRQ(ierr);
{
ndegrees = 1000;
degrees[0] = 0;
degrees[1] = 1;
degrees[2] = 2;
ierr = PetscOptionsIntArray("-degrees","list of degrees to evaluate","",degrees,&ndegrees,&flg);CHKERRQ(ierr);
if (!flg) ndegrees = 3;
npoints = 1000;
points[0] = 0.0;
points[1] = -0.5;
points[2] = 1.0;
ierr = PetscOptionsRealArray("-points","list of points at which to evaluate","",points,&npoints,&flg);CHKERRQ(ierr);
if (!flg) npoints = 3;
two = 2;
interval[0] = -1.;
interval[1] = 1.;
ierr = PetscOptionsRealArray("-interval","interval on which to construct quadrature","",interval,&two,NULL);CHKERRQ(ierr);
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = CheckPoints("User-provided points",npoints,points,ndegrees,degrees);CHKERRQ(ierr);
ierr = PetscDTGaussQuadrature(npoints,interval[0],interval[1],points,weights);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"Quadrature weights\n");CHKERRQ(ierr);
ierr = PetscRealView(npoints,weights,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
{
PetscReal a = interval[0],b = interval[1],zeroth,first,second;
PetscInt i;
zeroth = b - a;
first = (b*b - a*a)/2;
second = (b*b*b - a*a*a)/3;
for (i=0; i<npoints; i++) {
zeroth -= weights[i];
first -= weights[i] * points[i];
second -= weights[i] * PetscSqr(points[i]);
}
if (PetscAbs(zeroth) < 1e-10) zeroth = 0.;
if (PetscAbs(first) < 1e-10) first = 0.;
if (PetscAbs(second) < 1e-10) second = 0.;
ierr = PetscPrintf(PETSC_COMM_WORLD,"Moment error: zeroth=%g, first=%g, second=%g\n",(double)(-zeroth),(double)(-first),(double)(-second));CHKERRQ(ierr);
}
ierr = CheckPoints("Gauss points",npoints,points,ndegrees,degrees);CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
static PetscErrorCode KSPSetFromOptions_Chebyshev(PetscOptions *PetscOptionsObject,KSP ksp)
{
KSP_Chebyshev *cheb = (KSP_Chebyshev*)ksp->data;
PetscErrorCode ierr;
PetscInt neigarg = 2, nestarg = 4;
PetscReal eminmax[2] = {0., 0.};
PetscReal tform[4] = {PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE};
PetscBool flgeig, flgest;
PetscFunctionBegin;
ierr = PetscOptionsHead(PetscOptionsObject,"KSP Chebyshev Options");CHKERRQ(ierr);
ierr = PetscOptionsInt("-ksp_chebyshev_esteig_steps","Number of est steps in Chebyshev","",cheb->eststeps,&cheb->eststeps,NULL);CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-ksp_chebyshev_eigenvalues","extreme eigenvalues","KSPChebyshevSetEigenvalues",eminmax,&neigarg,&flgeig);CHKERRQ(ierr);
if (flgeig) {
if (neigarg != 2) SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_ARG_INCOMP,"-ksp_chebyshev_eigenvalues: must specify 2 parameters, min and max eigenvalues");
ierr = KSPChebyshevSetEigenvalues(ksp, eminmax[1], eminmax[0]);CHKERRQ(ierr);
}
ierr = PetscOptionsRealArray("-ksp_chebyshev_esteig","estimate eigenvalues using a Krylov method, then use this transform for Chebyshev eigenvalue bounds","KSPChebyshevEstEigSet",tform,&nestarg,&flgest);CHKERRQ(ierr);
if (flgest) {
switch (nestarg) {
case 0:
ierr = KSPChebyshevEstEigSet(ksp,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
break;
case 2: /* Base everything on the max eigenvalues */
ierr = KSPChebyshevEstEigSet(ksp,PETSC_DECIDE,tform[0],PETSC_DECIDE,tform[1]);CHKERRQ(ierr);
break;
case 4: /* Use the full 2x2 linear transformation */
ierr = KSPChebyshevEstEigSet(ksp,tform[0],tform[1],tform[2],tform[3]);CHKERRQ(ierr);
break;
default: SETERRQ(PetscObjectComm((PetscObject)ksp),PETSC_ERR_ARG_INCOMP,"Must specify either 0, 2, or 4 parameters for eigenvalue estimation");
}
}
/* We need to estimate eigenvalues; need to set this here so that KSPSetFromOptions() is called on the estimator */
if ((cheb->emin == 0. || cheb->emax == 0.) && !cheb->kspest) {
ierr = KSPChebyshevEstEigSet(ksp,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr);
}
if (cheb->kspest) {
ierr = PetscOptionsBool("-ksp_chebyshev_esteig_random","Use random right hand side for estimate","KSPChebyshevEstEigSetUseRandom",cheb->userandom,&cheb->userandom,NULL);CHKERRQ(ierr);
if (cheb->userandom) {
const char *ksppre;
if (!cheb->random) {
ierr = PetscRandomCreate(PetscObjectComm((PetscObject)ksp),&cheb->random);CHKERRQ(ierr);
}
ierr = KSPGetOptionsPrefix(cheb->kspest, &ksppre);CHKERRQ(ierr);
ierr = PetscObjectSetOptionsPrefix((PetscObject)cheb->random,ksppre);CHKERRQ(ierr);
ierr = PetscRandomSetFromOptions(cheb->random);CHKERRQ(ierr);
}
ierr = KSPSetFromOptions(cheb->kspest);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
PetscErrorCode ierr;
PetscInt i,j,degrees[1000],ndegrees,nsrc_points,ntarget_points;
PetscReal src_points[1000],target_points[1000],*R;
PetscBool flg;
ierr = PetscInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Discretization tools test options",NULL);CHKERRQ(ierr);
{
ndegrees = 1000;
degrees[0] = 1;
degrees[1] = 2;
degrees[2] = 3;
ierr = PetscOptionsIntArray("-degrees","list of max degrees to evaluate","",degrees,&ndegrees,&flg);CHKERRQ(ierr);
if (!flg) ndegrees = 3;
nsrc_points = 1000;
src_points[0] = -1.;
src_points[1] = 0.;
src_points[2] = 1.;
ierr = PetscOptionsRealArray("-src_points","list of points defining intervals on which to integrate","",src_points,&nsrc_points,&flg);CHKERRQ(ierr);
if (!flg) nsrc_points = 3;
ntarget_points = 1000;
target_points[0] = -1.;
target_points[1] = 0.;
target_points[2] = 1.;
ierr = PetscOptionsRealArray("-target_points","list of points defining intervals on which to integrate","",target_points,&ntarget_points,&flg);CHKERRQ(ierr);
if (!flg) ntarget_points = 3;
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = PetscMalloc1((nsrc_points-1)*(ntarget_points-1),&R);CHKERRQ(ierr);
for (i=0; i<ndegrees; i++) {
ierr = PetscDTReconstructPoly(degrees[i],nsrc_points-1,src_points,ntarget_points-1,target_points,R);CHKERRQ(ierr);
for (j=0; j<(ntarget_points-1)*(nsrc_points-1); j++) { /* Truncate to zero for nicer output */
if (PetscAbs(R[j]) < 10*PETSC_MACHINE_EPSILON) R[j] = 0;
}
for (j=0; j<ntarget_points-1; j++) {
ierr = PetscPrintf(PETSC_COMM_WORLD,"Degree %D target interval (%g,%g)\n",degrees[i],(double)target_points[j],(double)target_points[j+1]);CHKERRQ(ierr);
ierr = PetscRealView(nsrc_points-1,R+j*(nsrc_points-1),PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
}
}
ierr = PetscFree(R);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
/*@
PetscBagSetFromOptions - Allows setting options from a bag
Collective on PetscBag
Input Parameter:
. bag - the bag of values
Level: beginner
.seealso: PetscBag, PetscBagSetName(), PetscBagDestroy(), PetscBagLoad(), PetscBagGetData()
PetscBagRegisterReal(), PetscBagRegisterInt(), PetscBagRegisterBool(), PetscBagRegisterScalar()
PetscBagSetFromOptions(), PetscBagCreate(), PetscBagGetName(), PetscBagView(), PetscBagRegisterEnum()
@*/
PetscErrorCode PetscBagSetFromOptions(PetscBag bag)
{
PetscErrorCode ierr;
PetscBagItem nitem = bag->bagitems;
char name[PETSC_BAG_NAME_LENGTH+1],helpname[PETSC_BAG_NAME_LENGTH+PETSC_BAG_HELP_LENGTH+3];
PetscInt n;
PetscFunctionBegin;
ierr = PetscStrcpy(helpname,bag->bagname);CHKERRQ(ierr);
ierr = PetscStrcat(helpname," ");CHKERRQ(ierr);
ierr = PetscStrcat(helpname,bag->baghelp);CHKERRQ(ierr);
ierr = PetscOptionsBegin(bag->bagcomm,bag->bagprefix,helpname,0);CHKERRQ(ierr);
while (nitem) {
name[0] = '-';
name[1] = 0;
ierr = PetscStrcat(name,nitem->name);CHKERRQ(ierr);
if (nitem->dtype == PETSC_CHAR) { /* special handling for fortran required? [due to space padding vs null termination] */
char *value = (char*)(((char*)bag) + nitem->offset);
ierr = PetscOptionsString(name,nitem->help,"",value,value,nitem->msize,NULL);CHKERRQ(ierr);
} else if (nitem->dtype == PETSC_REAL) {
PetscReal *value = (PetscReal*)(((char*)bag) + nitem->offset);
if (nitem->msize == 1) {
ierr = PetscOptionsReal(name,nitem->help,"",*value,value,NULL);CHKERRQ(ierr);
} else {
n = nitem->msize;
ierr = PetscOptionsRealArray(name,nitem->help,"",value,&n,NULL);CHKERRQ(ierr);
}
} else if (nitem->dtype == PETSC_SCALAR) {
PetscScalar *value = (PetscScalar*)(((char*)bag) + nitem->offset);
ierr = PetscOptionsScalar(name,nitem->help,"",*value,value,NULL);CHKERRQ(ierr);
} else if (nitem->dtype == PETSC_INT) {
PetscInt *value = (PetscInt*)(((char*)bag) + nitem->offset);
if (nitem->msize == 1) {
ierr = PetscOptionsInt(name,nitem->help,"",*value,value,NULL);CHKERRQ(ierr);
} else {
n = nitem->msize;
ierr = PetscOptionsIntArray(name,nitem->help,"",value,&n,NULL);CHKERRQ(ierr);
}
} else if (nitem->dtype == PETSC_ENUM) {
PetscEnum *value = (PetscEnum*)(((char*)bag) + nitem->offset);
PetscInt i = 0;
while (nitem->list[i++]) ;
ierr = PetscOptionsEnum(name,nitem->help,nitem->list[i-3],(const char*const*)nitem->list,*value,value,NULL);CHKERRQ(ierr);
} else if (nitem->dtype == PETSC_BOOL) {
PetscBool *value = (PetscBool*)(((char*)bag) + nitem->offset);
if (nitem->msize == 1) {
ierr = PetscOptionsBool(name,nitem->help,"",*value,value,NULL);CHKERRQ(ierr);
} else {
n = nitem->msize;
ierr = PetscOptionsBoolArray(name,nitem->help,"",value,&n,NULL);CHKERRQ(ierr);
}
}
nitem = nitem->next;
}
PetscOptionsEnd();
PetscFunctionReturn(0);
}
/*
TSAdaptSetFromOptions - Sets various TSAdapt parameters from user options.
Collective on TSAdapt
Input Parameter:
. adapt - the TSAdapt context
Options Database Keys:
+ -ts_adapt_type <type> - algorithm to use for adaptivity
. -ts_adapt_always_accept - always accept steps regardless of error/stability goals
. -ts_adapt_safety <safety> - safety factor relative to target error/stability goal
. -ts_adapt_reject_safety <safety> - extra safety factor to apply if the last step was rejected
. -ts_adapt_clip <low,high> - admissible time step decrease and increase factors
. -ts_adapt_dt_min <min> - minimum timestep to use
. -ts_adapt_dt_max <max> - maximum timestep to use
. -ts_adapt_scale_solve_failed <scale> - scale timestep by this factor if a solve fails
. -ts_adapt_wnormtype <2 or infinity> - type of norm for computing error estimates
- -ts_adapt_time_step_increase_delay - number of timesteps to delay increasing the time step after it has been decreased due to failed solver
Level: advanced
Notes:
This function is automatically called by TSSetFromOptions()
.keywords: TS, TSGetAdapt(), TSAdaptSetType(), TSAdaptSetStepLimits()
.seealso: TSGetAdapt(), TSAdaptSetType(), TSAdaptSetAlwaysAccept(), TSAdaptSetSafety(),
TSAdaptSetClip(), TSAdaptSetStepLimits(), TSAdaptSetMonitor()
*/
PetscErrorCode TSAdaptSetFromOptions(PetscOptionItems *PetscOptionsObject,TSAdapt adapt)
{
PetscErrorCode ierr;
char type[256] = TSADAPTBASIC;
PetscReal safety,reject_safety,clip[2],hmin,hmax;
PetscBool set,flg;
PetscInt two;
PetscFunctionBegin;
PetscValidHeaderSpecific(adapt,TSADAPT_CLASSID,1);
/* This should use PetscOptionsBegin() if/when this becomes an object used outside of TS, but currently this
* function can only be called from inside TSSetFromOptions() */
ierr = PetscOptionsHead(PetscOptionsObject,"TS Adaptivity options");CHKERRQ(ierr);
ierr = PetscOptionsFList("-ts_adapt_type","Algorithm to use for adaptivity","TSAdaptSetType",TSAdaptList,((PetscObject)adapt)->type_name ? ((PetscObject)adapt)->type_name : type,type,sizeof(type),&flg);CHKERRQ(ierr);
if (flg || !((PetscObject)adapt)->type_name) {
ierr = TSAdaptSetType(adapt,type);CHKERRQ(ierr);
}
ierr = PetscOptionsBool("-ts_adapt_always_accept","Always accept the step","TSAdaptSetAlwaysAccept",adapt->always_accept,&flg,&set);CHKERRQ(ierr);
if (set) {ierr = TSAdaptSetAlwaysAccept(adapt,flg);CHKERRQ(ierr);}
safety = adapt->safety; reject_safety = adapt->reject_safety;
ierr = PetscOptionsReal("-ts_adapt_safety","Safety factor relative to target error/stability goal","TSAdaptSetSafety",safety,&safety,&set);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_adapt_reject_safety","Extra safety factor to apply if the last step was rejected","TSAdaptSetSafety",reject_safety,&reject_safety,&flg);CHKERRQ(ierr);
if (set || flg) {ierr = TSAdaptSetSafety(adapt,safety,reject_safety);CHKERRQ(ierr);}
two = 2; clip[0] = adapt->clip[0]; clip[1] = adapt->clip[1];
ierr = PetscOptionsRealArray("-ts_adapt_clip","Admissible decrease/increase factor in step size","TSAdaptSetClip",clip,&two,&set);CHKERRQ(ierr);
if (set && (two != 2)) SETERRQ(PetscObjectComm((PetscObject)adapt),PETSC_ERR_ARG_OUTOFRANGE,"Must give exactly two values to -ts_adapt_clip");
if (set) {ierr = TSAdaptSetClip(adapt,clip[0],clip[1]);CHKERRQ(ierr);}
hmin = adapt->dt_min; hmax = adapt->dt_max;
ierr = PetscOptionsReal("-ts_adapt_dt_min","Minimum time step considered","TSAdaptSetStepLimits",hmin,&hmin,&set);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_adapt_dt_max","Maximum time step considered","TSAdaptSetStepLimits",hmax,&hmax,&flg);CHKERRQ(ierr);
if (set || flg) {ierr = TSAdaptSetStepLimits(adapt,hmin,hmax);CHKERRQ(ierr);}
ierr = PetscOptionsReal("-ts_adapt_max_ignore","Adaptor ignores (absolute) solution values smaller than this value","",adapt->ignore_max,&adapt->ignore_max,&set);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_adapt_glee_use_local","GLEE adaptor uses local error estimation for step control","",adapt->glee_use_local,&adapt->glee_use_local,&set);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_adapt_scale_solve_failed","Scale step by this factor if solve fails","",adapt->scale_solve_failed,&adapt->scale_solve_failed,NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnum("-ts_adapt_wnormtype","Type of norm computed for error estimation","",NormTypes,(PetscEnum)adapt->wnormtype,(PetscEnum*)&adapt->wnormtype,NULL);CHKERRQ(ierr);
if (adapt->wnormtype != NORM_2 && adapt->wnormtype != NORM_INFINITY) SETERRQ(PetscObjectComm((PetscObject)adapt),PETSC_ERR_SUP,"Only 2-norm and infinite norm supported");
ierr = PetscOptionsInt("-ts_adapt_time_step_increase_delay","Number of timesteps to delay increasing the time step after it has been decreased due to failed solver","TSAdaptSetTimeStepIncreaseDelay",adapt->timestepjustdecreased_delay,&adapt->timestepjustdecreased_delay,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_adapt_monitor","Print choices made by adaptive controller","TSAdaptSetMonitor",adapt->monitor ? PETSC_TRUE : PETSC_FALSE,&flg,&set);CHKERRQ(ierr);
if (set) {ierr = TSAdaptSetMonitor(adapt,flg);CHKERRQ(ierr);}
if (adapt->ops->setfromoptions) {ierr = (*adapt->ops->setfromoptions)(PetscOptionsObject,adapt);CHKERRQ(ierr);}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode KSPSetFromOptions_Chebychev(KSP ksp)
{
KSP_Chebychev *cheb = (KSP_Chebychev*)ksp->data;
PetscErrorCode ierr;
PetscInt two = 2;
PetscFunctionBegin;
ierr = PetscOptionsHead("KSP Chebychev Options");CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-ksp_chebychev_eigenvalues","extreme eigenvalues","KSPChebychevSetEigenvalues",&cheb->emin,&two,0);CHKERRQ(ierr);
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode RunSample() {
PetscErrorCode ierr;
Op op;
PetscInt pgrid[3],smooth[2] = {3,1},two = 2,maxsamples = 6,repeat = 5,nsamples,(*gridsize)[3],addquadpts;
PetscReal local[2] = {100,10000};
PetscReal mintime = 1;
PetscLogDouble memused,memavail;
PetscMPIInt nranks;
MPI_Comm comm = PETSC_COMM_WORLD;
PetscFunctionBegin;
ierr = PetscOptionsBegin(comm,NULL,"FMG Performance Sampler options",NULL);CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-local","range of local problem sizes","",local,&two,NULL);CHKERRQ(ierr);
if (two == 1) local[1] = local[0];
ierr = PetscOptionsInt("-maxsamples","maximum number of samples across range","",maxsamples,&maxsamples,NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-repeat","Minimum number of repetitions for each problem size","",repeat,&repeat,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-mintime","Minimum interval (in seconds) for repeatedly solving each problem size","",mintime,&mintime,NULL);CHKERRQ(ierr);
two = 2;
ierr = PetscOptionsIntArray("-smooth","V- and F-cycle pre,post smoothing","",smooth,&two,NULL);CHKERRQ(ierr);
addquadpts = 0;
ierr = PetscOptionsInt("-add_quad_pts","Number of additional quadrature points","",addquadpts,&addquadpts,NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = OpCreateFromOptions(comm,&op);CHKERRQ(ierr);
ierr = OpSetAddQuadPts(op,addquadpts);CHKERRQ(ierr);
ierr = MPI_Comm_size(comm,&nranks);CHKERRQ(ierr);
ierr = ProcessGridFindSquarest(nranks,pgrid);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"Finite Element FAS Performance Sampler on process grid [%D %D %D] = %d\n",pgrid[0],pgrid[1],pgrid[2],nranks);CHKERRQ(ierr);
ierr = SampleGridRangeCreate(nranks,(PetscReal)local[0],(PetscReal)local[1],maxsamples,&nsamples,(PetscInt**)&gridsize);CHKERRQ(ierr);
ierr = MemoryGetUsage(&memused,&memavail);CHKERRQ(ierr);
ierr = ReportMemoryUsage(comm,memused,memavail);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"Small Test G[%5D%5D%5D]\n",gridsize[nsamples-1][0],gridsize[nsamples-1][1],gridsize[nsamples-1][2]);CHKERRQ(ierr);
ierr = SampleOnGrid(comm,op,gridsize[nsamples-1],smooth,1,0,NULL,NULL,PETSC_FALSE);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"Large Test G[%5D%5D%5D]\n",gridsize[0][0],gridsize[0][1],gridsize[0][2]);CHKERRQ(ierr);
ierr = SampleOnGrid(comm,op,gridsize[0],smooth,1,0,&memused,&memavail,PETSC_TRUE);CHKERRQ(ierr);
ierr = ReportMemoryUsage(comm,memused,memavail);CHKERRQ(ierr);
ierr = PetscPrintf(comm,"Starting performance sampling\n");CHKERRQ(ierr);
for (PetscInt i=nsamples-1; i>=0; i--) {
ierr = SampleOnGrid(comm,op,gridsize[i],smooth,repeat,mintime,NULL,NULL,PETSC_FALSE);CHKERRQ(ierr);
}
ierr = PetscFree(gridsize);CHKERRQ(ierr);
ierr = OpDestroy(&op);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode PetscViewerSetFromOptions_Draw(PetscOptionItems *PetscOptionsObject,PetscViewer v)
{
PetscErrorCode ierr;
PetscReal bounds[16];
PetscInt nbounds = 16;
PetscBool flg;
PetscFunctionBegin;
ierr = PetscOptionsHead(PetscOptionsObject,"Draw PetscViewer Options");CHKERRQ(ierr);
ierr = PetscOptionsRealArray("-draw_bounds","Bounds to put on plots axis","PetscViewerDrawSetBounds",bounds,&nbounds,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerDrawSetBounds(v,nbounds/2,bounds);CHKERRQ(ierr);
}
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode TSAdaptSetFromOptions_Basic(TSAdapt adapt)
{
TSAdapt_Basic *basic = (TSAdapt_Basic*)adapt->data;
PetscErrorCode ierr;
PetscInt two;
PetscBool set;
PetscFunctionBegin;
ierr = PetscOptionsHead("Basic adaptive controller options");CHKERRQ(ierr);
two = 2;
ierr = PetscOptionsRealArray("-ts_adapt_basic_clip","Admissible decrease/increase in step size","",basic->clip,&two,&set);CHKERRQ(ierr);
if (set && (two != 2 || basic->clip[0] > basic->clip[1])) SETERRQ(PetscObjectComm((PetscObject)adapt),PETSC_ERR_ARG_OUTOFRANGE,"Must give exactly two values to -ts_adapt_basic_clip");
ierr = PetscOptionsReal("-ts_adapt_basic_safety","Safety factor relative to target error","",basic->safety,&basic->safety,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ts_adapt_basic_reject_safety","Extra safety factor to apply if the last step was rejected","",basic->reject_safety,&basic->reject_safety,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ts_adapt_basic_always_accept","Always accept the step regardless of whether local truncation error meets goal","",basic->always_accept,&basic->always_accept,NULL);CHKERRQ(ierr);
ierr = PetscOptionsTail();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
static PetscErrorCode SNESSetFromOptions_Composite(PetscOptionItems *PetscOptionsObject,SNES snes)
{
SNES_Composite *jac = (SNES_Composite*)snes->data;
PetscErrorCode ierr;
PetscInt nmax = 8,i;
SNES_CompositeLink next;
char *sneses[8];
PetscReal dmps[8];
PetscBool flg;
PetscFunctionBegin;
ierr = PetscOptionsHead(PetscOptionsObject,"Composite preconditioner options");CHKERRQ(ierr);
ierr = PetscOptionsEnum("-snes_composite_type","Type of composition","SNESCompositeSetType",SNESCompositeTypes,(PetscEnum)jac->type,(PetscEnum*)&jac->type,&flg);CHKERRQ(ierr);
if (flg) {
ierr = SNESCompositeSetType(snes,jac->type);CHKERRQ(ierr);
}
ierr = PetscOptionsStringArray("-snes_composite_sneses","List of composite solvers","SNESCompositeAddSNES",sneses,&nmax,&flg);CHKERRQ(ierr);
if (flg) {
for (i=0; i<nmax; i++) {
ierr = SNESCompositeAddSNES(snes,sneses[i]);CHKERRQ(ierr);
ierr = PetscFree(sneses[i]);CHKERRQ(ierr); /* deallocate string sneses[i], which is allocated in PetscOptionsStringArray() */
}
}
ierr = PetscOptionsRealArray("-snes_composite_damping","Damping of the additive composite solvers","SNESCompositeSetDamping",dmps,&nmax,&flg);CHKERRQ(ierr);
if (flg) {
for (i=0; i<nmax; i++) {
ierr = SNESCompositeSetDamping(snes,i,dmps[i]);CHKERRQ(ierr);
}
}
ierr = PetscOptionsReal("-snes_composite_stol","Step tolerance for restart on the additive composite solvers","",jac->stol,&jac->stol,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-snes_composite_rtol","Residual tolerance for the additive composite solvers","",jac->rtol,&jac->rtol,NULL);CHKERRQ(ierr);
ierr = PetscOptionsTail();CHKERRQ(ierr);
next = jac->head;
while (next) {
ierr = SNESSetFromOptions(next->snes);CHKERRQ(ierr);
next = next->next;
}
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
PetscInt ierr,n,i;
PetscScalar a,array[10];
PetscReal rarray[10];
PetscInitialize(&argc,&argv,(char*)0,help);
ierr = PetscOptionsGetScalar(NULL,NULL,"-a",&a,NULL);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_SELF,"Scalar a = %g + %gi\n",(double)PetscRealPart(a),(double)PetscImaginaryPart(a));CHKERRQ(ierr);
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"test options",NULL);CHKERRQ(ierr);
n = 10; /* max num of input values */
ierr = PetscOptionsRealArray("-rarray", "Input a real array", "ex14.c", rarray, &n, NULL);CHKERRQ(ierr);
if (n) {
ierr = PetscPrintf(PETSC_COMM_SELF,"Real rarray of length %d\n",n);CHKERRQ(ierr);
for (i=0; i<n; i++){
ierr = PetscPrintf(PETSC_COMM_SELF," %g,\n",rarray[i]);CHKERRQ(ierr);
}
}
n = 10; /* max num of input values */
ierr = PetscOptionsScalarArray("-array", "Input a scalar array", "ex14.c", array, &n, NULL);CHKERRQ(ierr);
if (n) {
ierr = PetscPrintf(PETSC_COMM_SELF,"Scalar rarray of length %d\n",n);CHKERRQ(ierr);
for (i=0; i<n; i++){
if (PetscImaginaryPart(array[i]) < 0.0) {
ierr = PetscPrintf(PETSC_COMM_SELF," %g - %gi\n",(double)PetscRealPart(array[i]),(double)PetscAbsReal(PetscImaginaryPart(array[i])));CHKERRQ(ierr);
} else {
ierr = PetscPrintf(PETSC_COMM_SELF," %g + %gi\n",(double)PetscRealPart(array[i]),(double)PetscImaginaryPart(array[i]));CHKERRQ(ierr);
}
}
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
ierr = PetscFinalize();
return 0;
}
PetscErrorCode CholmodStart(Mat F)
{
PetscErrorCode ierr;
Mat_CHOLMOD *chol=(Mat_CHOLMOD*)F->spptr;
cholmod_common *c;
PetscBool flg;
PetscFunctionBegin;
if (chol->common) PetscFunctionReturn(0);
ierr = PetscMalloc(sizeof(*chol->common),&chol->common);CHKERRQ(ierr);
ierr = !cholmod_X_start(chol->common);CHKERRQ(ierr);
c = chol->common;
c->error_handler = CholmodErrorHandler;
#define CHOLMOD_OPTION_DOUBLE(name,help) do { \
PetscReal tmp = (PetscReal)c->name; \
ierr = PetscOptionsReal("-mat_cholmod_" #name,help,"None",tmp,&tmp,0);CHKERRQ(ierr); \
c->name = (double)tmp; \
} while (0)
#define CHOLMOD_OPTION_INT(name,help) do { \
PetscInt tmp = (PetscInt)c->name; \
ierr = PetscOptionsInt("-mat_cholmod_" #name,help,"None",tmp,&tmp,0);CHKERRQ(ierr); \
c->name = (int)tmp; \
} while (0)
#define CHOLMOD_OPTION_SIZE_T(name,help) do { \
PetscInt tmp = (PetscInt)c->name; \
ierr = PetscOptionsInt("-mat_cholmod_" #name,help,"None",tmp,&tmp,0);CHKERRQ(ierr); \
if (tmp < 0) SETERRQ(((PetscObject)F)->comm,PETSC_ERR_ARG_OUTOFRANGE,"value must be positive"); \
c->name = (size_t)tmp; \
} while (0)
#define CHOLMOD_OPTION_TRUTH(name,help) do { \
PetscBool tmp = (PetscBool)!!c->name; \
ierr = PetscOptionsBool("-mat_cholmod_" #name,help,"None",tmp,&tmp,0);CHKERRQ(ierr); \
c->name = (int)tmp; \
} while (0)
ierr = PetscOptionsBegin(((PetscObject)F)->comm,((PetscObject)F)->prefix,"CHOLMOD Options","Mat");CHKERRQ(ierr);
/* CHOLMOD handles first-time packing and refactor-packing separately, but we usually want them to be the same. */
chol->pack = (PetscBool)c->final_pack;
ierr = PetscOptionsBool("-mat_cholmod_pack","Pack factors after factorization [disable for frequent repeat factorization]","None",chol->pack,&chol->pack,0);CHKERRQ(ierr);
c->final_pack = (int)chol->pack;
CHOLMOD_OPTION_DOUBLE(dbound,"Minimum absolute value of diagonal entries of D");
CHOLMOD_OPTION_DOUBLE(grow0,"Global growth ratio when factors are modified");
CHOLMOD_OPTION_DOUBLE(grow1,"Column growth ratio when factors are modified");
CHOLMOD_OPTION_SIZE_T(grow2,"Affine column growth constant when factors are modified");
CHOLMOD_OPTION_SIZE_T(maxrank,"Max rank of update, larger values are faster but use more memory [2,4,8]");
{
static const char *const list[] = {"SIMPLICIAL","AUTO","SUPERNODAL","MatCholmodFactorType","MAT_CHOLMOD_FACTOR_",0};
PetscEnum choice = (PetscEnum)c->supernodal;
ierr = PetscOptionsEnum("-mat_cholmod_factor","Factorization method","None",list,(PetscEnum)c->supernodal,&choice,0);CHKERRQ(ierr);
c->supernodal = (int)choice;
}
if (c->supernodal) CHOLMOD_OPTION_DOUBLE(supernodal_switch,"flop/nnz_L threshold for switching to supernodal factorization");
CHOLMOD_OPTION_TRUTH(final_asis,"Leave factors \"as is\"");
CHOLMOD_OPTION_TRUTH(final_pack,"Pack the columns when finished (use FALSE if the factors will be updated later)");
if (!c->final_asis) {
CHOLMOD_OPTION_TRUTH(final_super,"Leave supernodal factors instead of converting to simplicial");
CHOLMOD_OPTION_TRUTH(final_ll,"Turn LDL' factorization into LL'");
CHOLMOD_OPTION_TRUTH(final_monotonic,"Ensure columns are monotonic when done");
CHOLMOD_OPTION_TRUTH(final_resymbol,"Remove numerically zero values resulting from relaxed supernodal amalgamation");
}
{
PetscReal tmp[] = {(PetscReal)c->zrelax[0],(PetscReal)c->zrelax[1],(PetscReal)c->zrelax[2]};
PetscInt n = 3;
ierr = PetscOptionsRealArray("-mat_cholmod_zrelax","3 real supernodal relaxed amalgamation parameters","None",tmp,&n,&flg);CHKERRQ(ierr);
if (flg && n != 3) SETERRQ(((PetscObject)F)->comm,PETSC_ERR_ARG_OUTOFRANGE,"must provide exactly 3 parameters to -mat_cholmod_zrelax");
if (flg) while (n--) c->zrelax[n] = (double)tmp[n];
}
{
PetscInt n,tmp[] = {(PetscInt)c->nrelax[0],(PetscInt)c->nrelax[1],(PetscInt)c->nrelax[2]};
ierr = PetscOptionsIntArray("-mat_cholmod_nrelax","3 size_t supernodal relaxed amalgamation parameters","None",tmp,&n,&flg);CHKERRQ(ierr);
if (flg && n != 3) SETERRQ(((PetscObject)F)->comm,PETSC_ERR_ARG_OUTOFRANGE,"must provide exactly 3 parameters to -mat_cholmod_nrelax");
if (flg) while (n--) c->nrelax[n] = (size_t)tmp[n];
}
CHOLMOD_OPTION_TRUTH(prefer_upper,"Work with upper triangular form [faster when using fill-reducing ordering, slower in natural ordering]");
CHOLMOD_OPTION_TRUTH(default_nesdis,"Use NESDIS instead of METIS for nested dissection");
CHOLMOD_OPTION_INT(print,"Verbosity level");
ierr = PetscOptionsEnd();CHKERRQ(ierr);
PetscFunctionReturn(0);
}
/*@
EPSSetFromOptions - Sets EPS options from the options database.
This routine must be called before EPSSetUp() if the user is to be
allowed to set the solver type.
Collective on EPS
Input Parameters:
. eps - the eigensolver context
Notes:
To see all options, run your program with the -help option.
Level: beginner
@*/
PetscErrorCode EPSSetFromOptions(EPS eps)
{
PetscErrorCode ierr;
char type[256],monfilename[PETSC_MAX_PATH_LEN];
PetscBool flg,flg1,flg2,flg3;
PetscReal r,array[2]={0,0};
PetscScalar s;
PetscInt i,j,k;
PetscViewer monviewer;
SlepcConvMonitor ctx;
PetscFunctionBegin;
PetscValidHeaderSpecific(eps,EPS_CLASSID,1);
if (!EPSRegisterAllCalled) { ierr = EPSRegisterAll();CHKERRQ(ierr); }
ierr = PetscObjectOptionsBegin((PetscObject)eps);CHKERRQ(ierr);
ierr = PetscOptionsFList("-eps_type","Eigenvalue Problem Solver method","EPSSetType",EPSList,(char*)(((PetscObject)eps)->type_name?((PetscObject)eps)->type_name:EPSKRYLOVSCHUR),type,256,&flg);CHKERRQ(ierr);
if (flg) {
ierr = EPSSetType(eps,type);CHKERRQ(ierr);
}
/*
Set the type if it was never set.
*/
if (!((PetscObject)eps)->type_name) {
ierr = EPSSetType(eps,EPSKRYLOVSCHUR);CHKERRQ(ierr);
}
ierr = PetscOptionsBoolGroupBegin("-eps_hermitian","hermitian eigenvalue problem","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_HEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_gen_hermitian","generalized hermitian eigenvalue problem","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_GHEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_non_hermitian","non-hermitian eigenvalue problem","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_NHEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_gen_non_hermitian","generalized non-hermitian eigenvalue problem","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_GNHEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_pos_gen_non_hermitian","generalized non-hermitian eigenvalue problem with positive semi-definite B","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_PGNHEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroupEnd("-eps_gen_indefinite","generalized hermitian-indefinite eigenvalue problem","EPSSetProblemType",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetProblemType(eps,EPS_GHIEP);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroupBegin("-eps_ritz","Rayleigh-Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_RITZ);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_harmonic","harmonic Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_HARMONIC);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_harmonic_relative","relative harmonic Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_HARMONIC_RELATIVE);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_harmonic_right","right harmonic Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_HARMONIC_RIGHT);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_harmonic_largest","largest harmonic Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_HARMONIC_LARGEST);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_refined","refined Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_REFINED);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroupEnd("-eps_refined_harmonic","refined harmonic Ritz extraction","EPSSetExtraction",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetExtraction(eps,EPS_REFINED_HARMONIC);CHKERRQ(ierr); }
ierr = PetscOptionsEnum("-eps_balance","Balancing method","EPSSetBalance",EPSBalanceTypes,(PetscEnum)eps->balance,(PetscEnum*)&eps->balance,NULL);CHKERRQ(ierr);
j = eps->balance_its;
ierr = PetscOptionsInt("-eps_balance_its","Number of iterations in balancing","EPSSetBalance",eps->balance_its,&j,&flg1);CHKERRQ(ierr);
r = eps->balance_cutoff;
ierr = PetscOptionsReal("-eps_balance_cutoff","Cutoff value in balancing","EPSSetBalance",eps->balance_cutoff,&r,&flg2);CHKERRQ(ierr);
if (flg1 || flg2) {
ierr = EPSSetBalance(eps,eps->balance,j,r);CHKERRQ(ierr);
}
i = eps->max_it? eps->max_it: PETSC_DEFAULT;
ierr = PetscOptionsInt("-eps_max_it","Maximum number of iterations","EPSSetTolerances",eps->max_it,&i,&flg1);CHKERRQ(ierr);
r = eps->tol;
ierr = PetscOptionsReal("-eps_tol","Tolerance","EPSSetTolerances",eps->tol==PETSC_DEFAULT?SLEPC_DEFAULT_TOL:eps->tol,&r,&flg2);CHKERRQ(ierr);
if (flg1 || flg2) {
ierr = EPSSetTolerances(eps,r,i);CHKERRQ(ierr);
}
ierr = PetscOptionsBoolGroupBegin("-eps_conv_eig","Relative error convergence test","EPSSetConvergenceTest",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetConvergenceTest(eps,EPS_CONV_EIG);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_conv_norm","Convergence test relative to the eigenvalue and the matrix norms","EPSSetConvergenceTest",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetConvergenceTest(eps,EPS_CONV_NORM);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_conv_abs","Absolute error convergence test","EPSSetConvergenceTest",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetConvergenceTest(eps,EPS_CONV_ABS);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroupEnd("-eps_conv_user","User-defined convergence test","EPSSetConvergenceTest",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetConvergenceTest(eps,EPS_CONV_USER);CHKERRQ(ierr); }
i = eps->nev;
ierr = PetscOptionsInt("-eps_nev","Number of eigenvalues to compute","EPSSetDimensions",eps->nev,&i,&flg1);CHKERRQ(ierr);
j = eps->ncv? eps->ncv: PETSC_DEFAULT;
ierr = PetscOptionsInt("-eps_ncv","Number of basis vectors","EPSSetDimensions",eps->ncv,&j,&flg2);CHKERRQ(ierr);
k = eps->mpd? eps->mpd: PETSC_DEFAULT;
ierr = PetscOptionsInt("-eps_mpd","Maximum dimension of projected problem","EPSSetDimensions",eps->mpd,&k,&flg3);CHKERRQ(ierr);
if (flg1 || flg2 || flg3) {
ierr = EPSSetDimensions(eps,i,j,k);CHKERRQ(ierr);
}
/* -----------------------------------------------------------------------*/
/*
Cancels all monitors hardwired into code before call to EPSSetFromOptions()
*/
flg = PETSC_FALSE;
ierr = PetscOptionsBool("-eps_monitor_cancel","Remove any hardwired monitor routines","EPSMonitorCancel",flg,&flg,NULL);CHKERRQ(ierr);
if (flg) {
ierr = EPSMonitorCancel(eps);CHKERRQ(ierr);
}
/*
Prints approximate eigenvalues and error estimates at each iteration
*/
ierr = PetscOptionsString("-eps_monitor","Monitor first unconverged approximate eigenvalue and error estimate","EPSMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)eps),monfilename,&monviewer);CHKERRQ(ierr);
ierr = EPSMonitorSet(eps,EPSMonitorFirst,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
}
ierr = PetscOptionsString("-eps_monitor_conv","Monitor approximate eigenvalues and error estimates as they converge","EPSMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscNew(&ctx);CHKERRQ(ierr);
ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)eps),monfilename,&ctx->viewer);CHKERRQ(ierr);
ierr = EPSMonitorSet(eps,EPSMonitorConverged,ctx,(PetscErrorCode (*)(void**))SlepcConvMonitorDestroy);CHKERRQ(ierr);
}
ierr = PetscOptionsString("-eps_monitor_all","Monitor approximate eigenvalues and error estimates","EPSMonitorSet","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
if (flg) {
ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)eps),monfilename,&monviewer);CHKERRQ(ierr);
ierr = EPSMonitorSet(eps,EPSMonitorAll,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
ierr = EPSSetTrackAll(eps,PETSC_TRUE);CHKERRQ(ierr);
}
flg = PETSC_FALSE;
ierr = PetscOptionsBool("-eps_monitor_lg","Monitor first unconverged approximate eigenvalue and error estimate graphically","EPSMonitorSet",flg,&flg,NULL);CHKERRQ(ierr);
if (flg) {
ierr = EPSMonitorSet(eps,EPSMonitorLG,NULL,NULL);CHKERRQ(ierr);
}
flg = PETSC_FALSE;
ierr = PetscOptionsBool("-eps_monitor_lg_all","Monitor error estimates graphically","EPSMonitorSet",flg,&flg,NULL);CHKERRQ(ierr);
if (flg) {
ierr = EPSMonitorSet(eps,EPSMonitorLGAll,NULL,NULL);CHKERRQ(ierr);
ierr = EPSSetTrackAll(eps,PETSC_TRUE);CHKERRQ(ierr);
}
/* -----------------------------------------------------------------------*/
ierr = PetscOptionsBoolGroupBegin("-eps_largest_magnitude","compute largest eigenvalues in magnitude","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_LARGEST_MAGNITUDE);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_smallest_magnitude","compute smallest eigenvalues in magnitude","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_SMALLEST_MAGNITUDE);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_largest_real","compute largest real parts","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_LARGEST_REAL);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_smallest_real","compute smallest real parts","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_SMALLEST_REAL);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_largest_imaginary","compute largest imaginary parts","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_LARGEST_IMAGINARY);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_smallest_imaginary","compute smallest imaginary parts","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_SMALLEST_IMAGINARY);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_target_magnitude","compute nearest eigenvalues to target","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_target_real","compute eigenvalues with real parts close to target","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_TARGET_REAL);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroup("-eps_target_imaginary","compute eigenvalues with imaginary parts close to target","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_TARGET_IMAGINARY);CHKERRQ(ierr); }
ierr = PetscOptionsBoolGroupEnd("-eps_all","compute all eigenvalues in an interval","EPSSetWhichEigenpairs",&flg);CHKERRQ(ierr);
if (flg) { ierr = EPSSetWhichEigenpairs(eps,EPS_ALL);CHKERRQ(ierr); }
ierr = PetscOptionsScalar("-eps_target","Value of the target","EPSSetTarget",eps->target,&s,&flg);CHKERRQ(ierr);
if (flg) {
if (eps->which!=EPS_TARGET_REAL && eps->which!=EPS_TARGET_IMAGINARY) {
ierr = EPSSetWhichEigenpairs(eps,EPS_TARGET_MAGNITUDE);CHKERRQ(ierr);
}
ierr = EPSSetTarget(eps,s);CHKERRQ(ierr);
}
k = 2;
ierr = PetscOptionsRealArray("-eps_interval","Computational interval (two real values separated with a comma without spaces)","EPSSetInterval",array,&k,&flg);CHKERRQ(ierr);
if (flg) {
if (k<2) SETERRQ(PetscObjectComm((PetscObject)eps),PETSC_ERR_ARG_SIZ,"Must pass two values in -eps_interval (comma-separated without spaces)");
ierr = EPSSetWhichEigenpairs(eps,EPS_ALL);CHKERRQ(ierr);
ierr = EPSSetInterval(eps,array[0],array[1]);CHKERRQ(ierr);
}
ierr = PetscOptionsBool("-eps_true_residual","Compute true residuals explicitly","EPSSetTrueResidual",eps->trueres,&eps->trueres,NULL);CHKERRQ(ierr);
ierr = PetscOptionsName("-eps_view","Print detailed information on solver used","EPSView",0);CHKERRQ(ierr);
ierr = PetscOptionsName("-eps_plot_eigs","Make a plot of the computed eigenvalues","EPSSolve",0);CHKERRQ(ierr);
if (eps->ops->setfromoptions) {
ierr = (*eps->ops->setfromoptions)(eps);CHKERRQ(ierr);
}
ierr = PetscObjectProcessOptionsHandlers((PetscObject)eps);CHKERRQ(ierr);
ierr = PetscOptionsEnd();CHKERRQ(ierr);
if (!eps->V) { ierr = EPSGetBV(eps,&eps->V);CHKERRQ(ierr); }
ierr = BVSetFromOptions(eps->V);CHKERRQ(ierr);
if (!eps->rg) { ierr = EPSGetRG(eps,&eps->rg);CHKERRQ(ierr); }
ierr = RGSetFromOptions(eps->rg);CHKERRQ(ierr);
if (!eps->ds) { ierr = EPSGetDS(eps,&eps->ds);CHKERRQ(ierr); }
ierr = DSSetFromOptions(eps->ds);CHKERRQ(ierr);
ierr = STSetFromOptions(eps->st);CHKERRQ(ierr);
ierr = PetscRandomSetFromOptions(eps->rand);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode ProcessOptions(MPI_Comm comm, AppCtx *options)
{
const char *dShapes[2] = {"box", "cylinder"};
PetscInt shape, bd, n;
static PetscInt domainBoxSizes[3] = {1,1,1};
static PetscReal domainBoxL[3] = {0.,0.,0.};
static PetscReal domainBoxU[3] = {1.,1.,1.};
PetscBool flg;
PetscErrorCode ierr;
PetscFunctionBegin;
options->debug = 0;
options->dim = 2;
options->interpolate = PETSC_FALSE;
options->refinementLimit = 0.0;
options->cellSimplex = PETSC_TRUE;
options->cellWedge = PETSC_FALSE;
options->domainShape = BOX;
options->domainBoxSizes = NULL;
options->domainBoxL = NULL;
options->domainBoxU = NULL;
options->periodicity[0] = DM_BOUNDARY_NONE;
options->periodicity[1] = DM_BOUNDARY_NONE;
options->periodicity[2] = DM_BOUNDARY_NONE;
options->filename[0] = '\0';
options->bdfilename[0] = '\0';
options->extfilename[0] = '\0';
options->testPartition = PETSC_FALSE;
options->overlap = PETSC_FALSE;
options->testShape = PETSC_FALSE;
options->simplex2tensor = PETSC_FALSE;
options->extrude_layers = 2;
options->extrude_thickness = 0.1;
options->testp4est[0] = PETSC_FALSE;
options->testp4est[1] = PETSC_FALSE;
ierr = PetscOptionsBegin(comm, "", "Meshing Problem Options", "DMPLEX");CHKERRQ(ierr);
ierr = PetscOptionsInt("-debug", "The debugging level", "ex1.c", options->debug, &options->debug, NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-dim", "The topological mesh dimension", "ex1.c", options->dim, &options->dim, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-interpolate", "Generate intermediate mesh elements", "ex1.c", options->interpolate, &options->interpolate, NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-refinement_limit", "The largest allowable cell volume", "ex1.c", options->refinementLimit, &options->refinementLimit, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-cell_simplex", "Use simplices if true, otherwise hexes", "ex1.c", options->cellSimplex, &options->cellSimplex, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-cell_wedge", "Use wedges if true", "ex1.c", options->cellWedge, &options->cellWedge, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-simplex2tensor", "Refine simplicial cells in tensor product cells", "ex1.c", options->simplex2tensor, &options->simplex2tensor, NULL);CHKERRQ(ierr);
if (options->simplex2tensor) options->interpolate = PETSC_TRUE;
shape = options->domainShape;
ierr = PetscOptionsEList("-domain_shape","The shape of the domain","ex1.c", dShapes, 2, dShapes[options->domainShape], &shape, NULL);CHKERRQ(ierr);
options->domainShape = (DomainShape) shape;
ierr = PetscOptionsIntArray("-domain_box_sizes","The sizes of the box domain","ex1.c", domainBoxSizes, (n=3,&n), &flg);CHKERRQ(ierr);
if (flg) { options->domainShape = BOX; options->domainBoxSizes = domainBoxSizes;}
ierr = PetscOptionsRealArray("-domain_box_ll","Coordinates of the lower left corner of the box domain","ex1.c", domainBoxL, (n=3,&n), &flg);CHKERRQ(ierr);
if (flg) { options->domainBoxL = domainBoxL;}
ierr = PetscOptionsRealArray("-domain_box_ur","Coordinates of the upper right corner of the box domain","ex1.c", domainBoxU, (n=3,&n), &flg);CHKERRQ(ierr);
if (flg) { options->domainBoxU = domainBoxU;}
bd = options->periodicity[0];
ierr = PetscOptionsEList("-x_periodicity", "The x-boundary periodicity", "ex1.c", DMBoundaryTypes, 5, DMBoundaryTypes[options->periodicity[0]], &bd, NULL);CHKERRQ(ierr);
options->periodicity[0] = (DMBoundaryType) bd;
bd = options->periodicity[1];
ierr = PetscOptionsEList("-y_periodicity", "The y-boundary periodicity", "ex1.c", DMBoundaryTypes, 5, DMBoundaryTypes[options->periodicity[1]], &bd, NULL);CHKERRQ(ierr);
options->periodicity[1] = (DMBoundaryType) bd;
bd = options->periodicity[2];
ierr = PetscOptionsEList("-z_periodicity", "The z-boundary periodicity", "ex1.c", DMBoundaryTypes, 5, DMBoundaryTypes[options->periodicity[2]], &bd, NULL);CHKERRQ(ierr);
options->periodicity[2] = (DMBoundaryType) bd;
ierr = PetscOptionsString("-filename", "The mesh file", "ex1.c", options->filename, options->filename, PETSC_MAX_PATH_LEN, NULL);CHKERRQ(ierr);
ierr = PetscOptionsString("-bd_filename", "The mesh boundary file", "ex1.c", options->bdfilename, options->bdfilename, PETSC_MAX_PATH_LEN, NULL);CHKERRQ(ierr);
ierr = PetscOptionsString("-ext_filename", "The 2D mesh file to be extruded", "ex1.c", options->extfilename, options->extfilename, PETSC_MAX_PATH_LEN, NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-ext_layers", "The number of layers to extrude", "ex1.c", options->extrude_layers, &options->extrude_layers, NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-ext_thickness", "The thickness of the layer to be extruded", "ex1.c", options->extrude_thickness, &options->extrude_thickness, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_partition", "Use a fixed partition for testing", "ex1.c", options->testPartition, &options->testPartition, NULL);CHKERRQ(ierr);
ierr = PetscOptionsInt("-overlap", "The cell overlap for partitioning", "ex1.c", options->overlap, &options->overlap, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_shape", "Report cell shape qualities (Jacobian condition numbers)", "ex1.c", options->testShape, &options->testShape, NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_p4est_seq", "Test p4est with sequential base DM", "ex1.c", options->testp4est[0], &options->testp4est[0], NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-test_p4est_par", "Test p4est with parallel base DM", "ex1.c", options->testp4est[1], &options->testp4est[1], NULL);CHKERRQ(ierr);
ierr = PetscOptionsEnd();
ierr = PetscLogEventRegister("CreateMesh", DM_CLASSID, &options->createMeshEvent);CHKERRQ(ierr);
ierr = PetscLogStageRegister("MeshLoad", &options->stages[STAGE_LOAD]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("MeshDistribute", &options->stages[STAGE_DISTRIBUTE]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("MeshRefine", &options->stages[STAGE_REFINE]);CHKERRQ(ierr);
ierr = PetscLogStageRegister("MeshOverlap", &options->stages[STAGE_OVERLAP]);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
TS ts; /* ODE integrator */
Vec U; /* solution will be stored here */
Mat A; /* Jacobian matrix */
Mat Jacp; /* Jacobian matrix */
PetscErrorCode ierr;
PetscMPIInt size;
PetscInt n = 2;
AppCtx ctx;
PetscScalar *u;
PetscReal du[2] = {0.0,0.0};
PetscBool ensemble = PETSC_FALSE,flg1,flg2;
PetscReal ftime;
PetscInt steps;
PetscScalar *x_ptr,*y_ptr;
Vec lambda[1],q,mu[1];
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Initialize program
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
if (size > 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Only for sequential runs");
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create necessary matrix and vectors
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
ierr = MatSetType(A,MATDENSE);CHKERRQ(ierr);
ierr = MatSetFromOptions(A);CHKERRQ(ierr);
ierr = MatSetUp(A);CHKERRQ(ierr);
ierr = MatCreateVecs(A,&U,NULL);CHKERRQ(ierr);
ierr = MatCreate(PETSC_COMM_WORLD,&Jacp);CHKERRQ(ierr);
ierr = MatSetSizes(Jacp,PETSC_DECIDE,PETSC_DECIDE,2,1);CHKERRQ(ierr);
ierr = MatSetFromOptions(Jacp);CHKERRQ(ierr);
ierr = MatSetUp(Jacp);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr);
{
ctx.beta = 2;
ctx.c = 10000.0;
ctx.u_s = 1.0;
ctx.omega_s = 1.0;
ctx.omega_b = 120.0*PETSC_PI;
ctx.H = 5.0;
ierr = PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL);CHKERRQ(ierr);
ctx.D = 5.0;
ierr = PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL);CHKERRQ(ierr);
ctx.E = 1.1378;
ctx.V = 1.0;
ctx.X = 0.545;
ctx.Pmax = ctx.E*ctx.V/ctx.X;;
ierr = PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL);CHKERRQ(ierr);
ctx.Pm = 1.1;
ierr = PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL);CHKERRQ(ierr);
ctx.tf = 0.1;
ctx.tcl = 0.2;
ierr = PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL);CHKERRQ(ierr);
if (ensemble) {
ctx.tf = -1;
ctx.tcl = -1;
}
ierr = VecGetArray(U,&u);CHKERRQ(ierr);
u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
u[1] = 1.0;
ierr = PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1);CHKERRQ(ierr);
n = 2;
ierr = PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2);CHKERRQ(ierr);
u[0] += du[0];
u[1] += du[1];
ierr = VecRestoreArray(U,&u);CHKERRQ(ierr);
if (flg1 || flg2) {
ctx.tf = -1;
ctx.tcl = -1;
}
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create timestepping solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSRK);CHKERRQ(ierr);
ierr = TSSetRHSFunction(ts,NULL,(TSRHSFunction)RHSFunction,&ctx);CHKERRQ(ierr);
ierr = TSSetRHSJacobian(ts,A,A,(TSRHSJacobian)RHSJacobian,&ctx);CHKERRQ(ierr);
ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set initial conditions
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetSolution(ts,U);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Save trajectory of solution so that TSAdjointSolve() may be used
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
ierr = MatCreateVecs(A,&lambda[0],NULL);CHKERRQ(ierr);
/* Set initial conditions for the adjoint integration */
ierr = VecGetArray(lambda[0],&y_ptr);CHKERRQ(ierr);
y_ptr[0] = 0.0; y_ptr[1] = 0.0;
ierr = VecRestoreArray(lambda[0],&y_ptr);CHKERRQ(ierr);
ierr = MatCreateVecs(Jacp,&mu[0],NULL);CHKERRQ(ierr);
ierr = VecGetArray(mu[0],&x_ptr);CHKERRQ(ierr);
x_ptr[0] = -1.0;
ierr = VecRestoreArray(mu[0],&x_ptr);CHKERRQ(ierr);
ierr = TSSetCostGradients(ts,1,lambda,mu);CHKERRQ(ierr);
ierr = TSSetCostIntegrand(ts,1,(PetscErrorCode (*)(TS,PetscReal,Vec,Vec,void*))CostIntegrand,
(PetscErrorCode (*)(TS,PetscReal,Vec,Vec*,void*))DRDYFunction,
(PetscErrorCode (*)(TS,PetscReal,Vec,Vec*,void*))DRDPFunction,PETSC_TRUE,&ctx);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set solver options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetDuration(ts,PETSC_DEFAULT,10.0);CHKERRQ(ierr);
ierr = TSSetExactFinalTime(ts,TS_EXACTFINALTIME_STEPOVER);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,.01);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
if (ensemble) {
for (du[1] = -2.5; du[1] <= .01; du[1] += .1) {
ierr = VecGetArray(U,&u);CHKERRQ(ierr);
u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
u[1] = ctx.omega_s;
u[0] += du[0];
u[1] += du[1];
ierr = VecRestoreArray(U,&u);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,.01);CHKERRQ(ierr);
ierr = TSSolve(ts,U);CHKERRQ(ierr);
}
} else {
ierr = TSSolve(ts,U);CHKERRQ(ierr);
}
ierr = VecView(U,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = TSGetSolveTime(ts,&ftime);CHKERRQ(ierr);
ierr = TSGetTimeStepNumber(ts,&steps);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Adjoint model starts here
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
/* Set initial conditions for the adjoint integration */
ierr = VecGetArray(lambda[0],&y_ptr);CHKERRQ(ierr);
y_ptr[0] = 0.0; y_ptr[1] = 0.0;
ierr = VecRestoreArray(lambda[0],&y_ptr);CHKERRQ(ierr);
ierr = VecGetArray(mu[0],&x_ptr);CHKERRQ(ierr);
x_ptr[0] = -1.0;
ierr = VecRestoreArray(mu[0],&x_ptr);CHKERRQ(ierr);
/* Set RHS JacobianP */
ierr = TSAdjointSetRHSJacobian(ts,Jacp,RHSJacobianP,&ctx);CHKERRQ(ierr);
ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"\n sensitivity wrt initial conditions: d[Psi(tf)]/d[phi0] d[Psi(tf)]/d[omega0]\n");CHKERRQ(ierr);
ierr = VecView(lambda[0],PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = VecView(mu[0],PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = TSGetCostIntegral(ts,&q);CHKERRQ(ierr);
ierr = VecView(q,PETSC_VIEWER_STDOUT_WORLD);CHKERRQ(ierr);
ierr = VecGetArray(q,&x_ptr);CHKERRQ(ierr);
ierr = PetscPrintf(PETSC_COMM_WORLD,"\n cost function=%g\n",(double)(x_ptr[0]-ctx.Pm));CHKERRQ(ierr);
ierr = VecRestoreArray(q,&x_ptr);CHKERRQ(ierr);
ierr = ComputeSensiP(lambda[0],mu[0],&ctx);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free work space. All PETSc objects should be destroyed when they are no longer needed.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = MatDestroy(&Jacp);CHKERRQ(ierr);
ierr = VecDestroy(&U);CHKERRQ(ierr);
ierr = VecDestroy(&lambda[0]);CHKERRQ(ierr);
ierr = VecDestroy(&mu[0]);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = PetscFinalize();
return(0);
}
int main(int argc,char **argv)
{
TS ts; /* ODE integrator */
Vec U; /* solution will be stored here */
Mat A; /* Jacobian matrix */
PetscErrorCode ierr;
PetscMPIInt size;
PetscInt n = 2;
AppCtx ctx;
PetscScalar *u;
PetscReal du[2] = {0.0,0.0};
PetscBool ensemble = PETSC_FALSE,flg1,flg2;
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Initialize program
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
if (size > 1) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Only for sequential runs");
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create necessary matrix and vectors
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatCreate(PETSC_COMM_WORLD,&A);CHKERRQ(ierr);
ierr = MatSetSizes(A,n,n,PETSC_DETERMINE,PETSC_DETERMINE);CHKERRQ(ierr);
ierr = MatSetType(A,MATDENSE);CHKERRQ(ierr);
ierr = MatSetFromOptions(A);CHKERRQ(ierr);
ierr = MatSetUp(A);CHKERRQ(ierr);
ierr = MatCreateVecs(A,&U,NULL);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set runtime options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"Swing equation options","");CHKERRQ(ierr);
{
ctx.omega_s = 2.0*PETSC_PI*60.0;
ctx.H = 5.0;
ierr = PetscOptionsScalar("-Inertia","","",ctx.H,&ctx.H,NULL);CHKERRQ(ierr);
ctx.D = 5.0;
ierr = PetscOptionsScalar("-D","","",ctx.D,&ctx.D,NULL);CHKERRQ(ierr);
ctx.E = 1.1378;
ctx.V = 1.0;
ctx.X = 0.545;
ctx.Pmax = ctx.E*ctx.V/ctx.X;;
ierr = PetscOptionsScalar("-Pmax","","",ctx.Pmax,&ctx.Pmax,NULL);CHKERRQ(ierr);
ctx.Pm = 0.9;
ierr = PetscOptionsScalar("-Pm","","",ctx.Pm,&ctx.Pm,NULL);CHKERRQ(ierr);
ctx.tf = 1.0;
ctx.tcl = 1.05;
ierr = PetscOptionsReal("-tf","Time to start fault","",ctx.tf,&ctx.tf,NULL);CHKERRQ(ierr);
ierr = PetscOptionsReal("-tcl","Time to end fault","",ctx.tcl,&ctx.tcl,NULL);CHKERRQ(ierr);
ierr = PetscOptionsBool("-ensemble","Run ensemble of different initial conditions","",ensemble,&ensemble,NULL);CHKERRQ(ierr);
if (ensemble) {
ctx.tf = -1;
ctx.tcl = -1;
}
ierr = VecGetArray(U,&u);CHKERRQ(ierr);
u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
u[1] = 1.0;
ierr = PetscOptionsRealArray("-u","Initial solution","",u,&n,&flg1);CHKERRQ(ierr);
n = 2;
ierr = PetscOptionsRealArray("-du","Perturbation in initial solution","",du,&n,&flg2);CHKERRQ(ierr);
u[0] += du[0];
u[1] += du[1];
ierr = VecRestoreArray(U,&u);CHKERRQ(ierr);
if (flg1 || flg2) {
ctx.tf = -1;
ctx.tcl = -1;
}
}
ierr = PetscOptionsEnd();CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Create timestepping solver context
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSCreate(PETSC_COMM_WORLD,&ts);CHKERRQ(ierr);
ierr = TSSetProblemType(ts,TS_NONLINEAR);CHKERRQ(ierr);
ierr = TSSetType(ts,TSROSW);CHKERRQ(ierr);
ierr = TSSetIFunction(ts,NULL,(TSIFunction) IFunction,&ctx);CHKERRQ(ierr);
ierr = TSSetIJacobian(ts,A,A,(TSIJacobian)IJacobian,&ctx);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set initial conditions
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetSolution(ts,U);CHKERRQ(ierr);
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Set solver options
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = TSSetDuration(ts,100000,35.0);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,.01);CHKERRQ(ierr);
ierr = TSSetFromOptions(ts);CHKERRQ(ierr);
/* ierr = TSSetPostStep(ts,PostStep);CHKERRQ(ierr); */
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Solve nonlinear system
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
if (ensemble) {
for (du[1] = -2.5; du[1] <= .01; du[1] += .1) {
ierr = VecGetArray(U,&u);CHKERRQ(ierr);
u[0] = PetscAsinScalar(ctx.Pm/ctx.Pmax);
u[1] = ctx.omega_s;
u[0] += du[0];
u[1] += du[1];
ierr = VecRestoreArray(U,&u);CHKERRQ(ierr);
ierr = TSSetInitialTimeStep(ts,0.0,.01);CHKERRQ(ierr);
ierr = TSSolve(ts,U);CHKERRQ(ierr);
}
} else {
ierr = TSSolve(ts,U);CHKERRQ(ierr);
}
/* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Free work space. All PETSc objects should be destroyed when they are no longer needed.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
ierr = MatDestroy(&A);CHKERRQ(ierr);
ierr = VecDestroy(&U);CHKERRQ(ierr);
ierr = TSDestroy(&ts);CHKERRQ(ierr);
ierr = PetscFinalize();
return(0);
}
