PetscErrorCode KSPMonitorSNESLGResidualNorm(KSP ksp,PetscInt n,PetscReal rnorm,PetscObject *objs)
{
SNES snes = (SNES) objs[0];
PetscDrawLG lg = (PetscDrawLG) objs[1];
PetscErrorCode ierr;
PetscReal y[2];
Vec snes_solution,work1,work2;
PetscFunctionBegin;
if (rnorm > 0.0) y[0] = PetscLog10Real(rnorm);
else y[0] = -15.0;
ierr = SNESGetSolution(snes,&snes_solution);CHKERRQ(ierr);
ierr = VecDuplicate(snes_solution,&work1);CHKERRQ(ierr);
ierr = VecDuplicate(snes_solution,&work2);CHKERRQ(ierr);
ierr = KSPBuildSolution(ksp,work1,NULL);CHKERRQ(ierr);
ierr = VecAYPX(work1,-1.0,snes_solution);CHKERRQ(ierr);
ierr = SNESComputeFunction(snes,work1,work2);CHKERRQ(ierr);
ierr = VecNorm(work2,NORM_2,y+1);CHKERRQ(ierr);
if (y[1] > 0.0) y[1] = PetscLog10Real(y[1]);
else y[1] = -15.0;
ierr = VecDestroy(&work1);CHKERRQ(ierr);
ierr = VecDestroy(&work2);CHKERRQ(ierr);
ierr = PetscDrawLGAddPoint(lg,NULL,y);CHKERRQ(ierr);
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
PetscErrorCode KSPMonitorLGTrueResidualNorm(KSP ksp,PetscInt n,PetscReal rnorm,PetscObject *objs)
{
PetscDrawLG lg = (PetscDrawLG) objs[0];
PetscReal x[2],y[2],scnorm;
PetscErrorCode ierr;
PetscMPIInt rank;
Vec resid,work;
PetscFunctionBegin;
ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ksp),&rank);CHKERRQ(ierr);
if (!rank) {
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
x[0] = x[1] = (PetscReal) n;
if (rnorm > 0.0) y[0] = PetscLog10Real(rnorm);
else y[0] = -15.0;
}
ierr = VecDuplicate(ksp->vec_rhs,&work);CHKERRQ(ierr);
ierr = KSPBuildResidual(ksp,0,work,&resid);CHKERRQ(ierr);
ierr = VecNorm(resid,NORM_2,&scnorm);CHKERRQ(ierr);
ierr = VecDestroy(&work);CHKERRQ(ierr);
if (!rank) {
if (scnorm > 0.0) y[1] = PetscLog10Real(scnorm);
else y[1] = -15.0;
ierr = PetscDrawLGAddPoint(lg,x,y);CHKERRQ(ierr);
if (n <= 20 || (n % 3)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
}
PetscFunctionReturn(0);
}
PetscErrorCode VecView_Seq_Draw_LG(Vec xin,PetscViewer v)
{
PetscDraw draw;
PetscBool isnull;
PetscDrawLG lg;
PetscErrorCode ierr;
PetscInt i,c,bs = PetscAbs(xin->map->bs),n = xin->map->n/bs;
const PetscScalar *xv;
PetscReal *xx,*yy;
int colors[] = {PETSC_DRAW_RED};
PetscFunctionBegin;
ierr = PetscViewerDrawGetDraw(v,0,&draw);CHKERRQ(ierr);
ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr);
if (isnull) PetscFunctionReturn(0);
ierr = PetscMalloc2(n,&xx,n,&yy);CHKERRQ(ierr);
ierr = VecGetArrayRead(xin,&xv);CHKERRQ(ierr);
for (c=0; c<bs; c++) {
ierr = PetscViewerDrawGetDrawLG(v,c,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
ierr = PetscDrawLGSetDimension(lg,1);CHKERRQ(ierr);
ierr = PetscDrawLGSetColors(lg,colors);CHKERRQ(ierr);
for (i=0; i<n; i++) {
xx[i] = (PetscReal)i;
yy[i] = PetscRealPart(xv[c + i*bs]);
}
ierr = PetscDrawLGAddPoints(lg,n,&xx,&yy);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = PetscDrawLGSave(lg);CHKERRQ(ierr);
}
ierr = VecRestoreArrayRead(xin,&xv);CHKERRQ(ierr);
ierr = PetscFree2(xx,yy);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode KSPMonitorLGTrueResidualNorm(KSP ksp,PetscInt n,PetscReal rnorm,void *ctx)
{
PetscDrawLG lg = (PetscDrawLG) ctx;
PetscReal x[2],y[2],scnorm;
Vec resid,work;
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(ksp,KSP_CLASSID,1);
PetscValidHeaderSpecific(lg,PETSC_DRAWLG_CLASSID,4);
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
x[0] = x[1] = (PetscReal) n;
if (rnorm > 0.0) y[0] = PetscLog10Real(rnorm);
else y[0] = -15.0;
ierr = VecDuplicate(ksp->vec_rhs,&work);CHKERRQ(ierr);
ierr = KSPBuildResidual(ksp,NULL,work,&resid);CHKERRQ(ierr);
ierr = VecNorm(resid,NORM_2,&scnorm);CHKERRQ(ierr);
ierr = VecDestroy(&work);CHKERRQ(ierr);
if (scnorm > 0.0) y[1] = PetscLog10Real(scnorm);
else y[1] = -15.0;
ierr = PetscDrawLGAddPoint(lg,x,y);CHKERRQ(ierr);
if (n <= 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
PetscErrorCode VecView_Seq_Draw_LG(Vec xin,PetscViewer v)
{
PetscErrorCode ierr;
PetscInt i,c,bs = PetscAbs(xin->map->bs),n = xin->map->n/bs;
PetscDraw win;
PetscReal *xx;
PetscDrawLG lg;
const PetscScalar *xv;
PetscReal *yy;
PetscFunctionBegin;
ierr = PetscMalloc1(n,&xx);CHKERRQ(ierr);
ierr = PetscMalloc1(n,&yy);CHKERRQ(ierr);
ierr = VecGetArrayRead(xin,&xv);CHKERRQ(ierr);
for (c=0; c<bs; c++) {
ierr = PetscViewerDrawGetDrawLG(v,c,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetDraw(lg,&win);CHKERRQ(ierr);
ierr = PetscDrawCheckResizedWindow(win);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
for (i=0; i<n; i++) {
xx[i] = (PetscReal) i;
yy[i] = PetscRealPart(xv[c + i*bs]);
}
ierr = PetscDrawLGAddPoints(lg,n,&xx,&yy);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = PetscDrawSynchronizedFlush(win);CHKERRQ(ierr);
}
ierr = VecRestoreArrayRead(xin,&xv);CHKERRQ(ierr);
ierr = PetscFree(yy);CHKERRQ(ierr);
ierr = PetscFree(xx);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
PetscDraw draw;
PetscDrawLG lg;
PetscDrawAxis axis;
PetscInt n = 15,i,x = 0,y = 0,width = 400,height = 300,nports = 1;
PetscBool useports,flg;
const char *xlabel,*ylabel,*toplabel,*legend;
PetscReal xd,yd;
PetscDrawViewPorts *ports = NULL;
PetscErrorCode ierr;
toplabel = "Top Label"; xlabel = "X-axis Label"; ylabel = "Y-axis Label"; legend = "Legend";
ierr = PetscInitialize(&argc,&argv,NULL,help);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-x",&x,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-y",&y,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-width",&width,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-height",&height,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-nports",&nports,&useports);CHKERRQ(ierr);
ierr = PetscOptionsHasName(NULL,NULL,"-nolegend",&flg);CHKERRQ(ierr);
if (flg) legend = NULL;
ierr = PetscOptionsHasName(NULL,NULL,"-notoplabel",&flg);CHKERRQ(ierr);
if (flg) toplabel = NULL;
ierr = PetscOptionsHasName(NULL,NULL,"-noxlabel",&flg);CHKERRQ(ierr);
if (flg) xlabel = NULL;
ierr = PetscOptionsHasName(NULL,NULL,"-noylabel",&flg);CHKERRQ(ierr);
if (flg) ylabel = NULL;
ierr = PetscOptionsHasName(NULL,NULL,"-nolabels",&flg);CHKERRQ(ierr);
if (flg) {toplabel = NULL; xlabel = NULL; ylabel = NULL;}
ierr = PetscDrawCreate(PETSC_COMM_WORLD,0,"Title",x,y,width,height,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
if (useports) {
ierr = PetscDrawViewPortsCreate(draw,nports,&ports);CHKERRQ(ierr);
ierr = PetscDrawViewPortsSet(ports,0);CHKERRQ(ierr);
}
ierr = PetscDrawLGCreate(draw,1,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGSetUseMarkers(lg,PETSC_TRUE);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetColors(axis,PETSC_DRAW_BLACK,PETSC_DRAW_RED,PETSC_DRAW_BLUE);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,toplabel,xlabel,ylabel);CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,&legend);CHKERRQ(ierr);
ierr = PetscDrawLGSetFromOptions(lg);CHKERRQ(ierr);
for (i=0; i<=n; i++) {
xd = (PetscReal)(i - 5); yd = xd*xd;
ierr = PetscDrawLGAddPoint(lg,&xd,&yd);CHKERRQ(ierr);
}
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = PetscDrawLGSave(lg);CHKERRQ(ierr);
ierr = PetscDrawViewPortsDestroy(ports);CHKERRQ(ierr);
ierr = PetscDrawLGDestroy(&lg);CHKERRQ(ierr);
ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
int main(int argc,char **argv)
{
PetscDraw draw;
PetscDrawLG lg;
PetscDrawAxis axis;
PetscInt n = 20,i,x = 0,y = 0,width = 300,height = 300,nports = 1;
PetscTruth flg;
const char *xlabel,*ylabel,*toplabel;
PetscReal xd,yd;
PetscDrawViewPorts *ports;
PetscErrorCode ierr;
xlabel = "X-axis Label";toplabel = "Top Label";ylabel = "Y-axis Label";
ierr = PetscInitialize(&argc,&argv,(char*)0,help);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(PETSC_NULL,"-width",&width,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(PETSC_NULL,"-height",&height,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(PETSC_NULL,"-n",&n,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscOptionsHasName(PETSC_NULL,"-nolabels",&flg);CHKERRQ(ierr);
if (flg) {
xlabel = (char *)0; toplabel = (char *)0;
}
ierr = PetscDrawCreate(PETSC_COMM_SELF,0,"Title",x,y,width,height,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(PETSC_NULL,"-nports",&nports,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscDrawViewPortsCreate(draw,nports,&ports);CHKERRQ(ierr);
ierr = PetscDrawViewPortsSet(ports,0);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(draw,1,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetColors(axis,PETSC_DRAW_BLACK,PETSC_DRAW_RED,PETSC_DRAW_BLUE);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,toplabel,xlabel,ylabel);CHKERRQ(ierr);
for (i=0; i<n ; i++) {
xd = (PetscReal)(i - 5); yd = xd*xd;
ierr = PetscDrawLGAddPoint(lg,&xd,&yd);CHKERRQ(ierr);
}
ierr = PetscDrawLGIndicateDataPoints(lg);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = PetscDrawString(draw,-3.,150.0,PETSC_DRAW_BLUE,"A legend");CHKERRQ(ierr);
ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
ierr = PetscSleep(2);CHKERRQ(ierr);
ierr = PetscDrawViewPortsDestroy(ports);CHKERRQ(ierr);
ierr = PetscDrawLGDestroy(lg);CHKERRQ(ierr);
ierr = PetscDrawDestroy(draw);CHKERRQ(ierr);
ierr = PetscFinalize();CHKERRQ(ierr);
return 0;
}
PetscErrorCode KSPMonitorLGResidualNorm(KSP ksp,PetscInt n,PetscReal rnorm,PetscObject *objs)
{
PetscErrorCode ierr;
PetscReal x,y;
PetscDrawLG lg = (PetscDrawLG) objs[0];
PetscFunctionBegin;
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
x = (PetscReal) n;
if (rnorm > 0.0) y = PetscLog10Real(rnorm);
else y = -15.0;
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
PetscErrorCode KSPMonitorLGResidualNorm(KSP ksp,PetscInt n,PetscReal rnorm,void *ctx)
{
PetscDrawLG lg = (PetscDrawLG) ctx;
PetscReal x,y;
PetscErrorCode ierr;
PetscFunctionBegin;
PetscValidHeaderSpecific(lg,PETSC_DRAWLG_CLASSID,4);
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
x = (PetscReal) n;
if (rnorm > 0.0) y = PetscLog10Real(rnorm);
else y = -15.0;
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
if (n <= 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
PetscErrorCode TSMonitorLGDMDARay(TS ts, PetscInt step, PetscReal ptime, Vec u, void *ctx)
{
TSMonitorDMDARayCtx *rayctx = (TSMonitorDMDARayCtx *) ctx;
TSMonitorLGCtx lgctx = (TSMonitorLGCtx) rayctx->lgctx;
Vec v = rayctx->ray;
const PetscScalar *a;
PetscInt dim;
PetscErrorCode ierr;
PetscFunctionBegin;
ierr = VecScatterBegin(rayctx->scatter, u, v, INSERT_VALUES, SCATTER_FORWARD);CHKERRQ(ierr);
ierr = VecScatterEnd(rayctx->scatter, u, v, INSERT_VALUES, SCATTER_FORWARD);CHKERRQ(ierr);
if (!step) {
PetscDrawAxis axis;
ierr = PetscDrawLGGetAxis(lgctx->lg, &axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis, "Solution Ray as function of time", "Time", "Solution");CHKERRQ(ierr);
ierr = VecGetLocalSize(rayctx->ray, &dim);CHKERRQ(ierr);
ierr = PetscDrawLGSetDimension(lgctx->lg, dim);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lgctx->lg);CHKERRQ(ierr);
}
ierr = VecGetArrayRead(v, &a);CHKERRQ(ierr);
#if defined(PETSC_USE_COMPLEX)
{
PetscReal *areal;
PetscInt i,n;
ierr = VecGetLocalSize(v, &n);CHKERRQ(ierr);
ierr = PetscMalloc1(n, &areal);CHKERRQ(ierr);
for (i = 0; i < n; ++i) areal[i] = PetscRealPart(a[i]);
ierr = PetscDrawLGAddCommonPoint(lgctx->lg, ptime, areal);CHKERRQ(ierr);
ierr = PetscFree(areal);CHKERRQ(ierr);
}
#else
ierr = PetscDrawLGAddCommonPoint(lgctx->lg, ptime, a);CHKERRQ(ierr);
#endif
ierr = VecRestoreArrayRead(v, &a);CHKERRQ(ierr);
if (((lgctx->howoften > 0) && (!(step % lgctx->howoften))) || ((lgctx->howoften == -1) && ts->reason)) {
ierr = PetscDrawLGDraw(lgctx->lg);CHKERRQ(ierr);
}
PetscFunctionReturn(0);
}
int main(int argc,char **argv)
{
PetscDrawLG lg;
PetscErrorCode ierr;
PetscInt Mx = 100,i;
PetscReal x,hx = .1/Mx,pause,xx[3],yy[3];
PetscDraw draw;
const char *const legend[] = {"(1 - u^2)^2","1 - u^2","-(1 - u)log(1 - u)"};
PetscDrawAxis axis;
static PetscDrawViewPorts *ports = 0;
PetscFunctionBegin;
PetscInitialize(&argc,&argv,0,help);
ierr = PetscViewerDrawResize(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),1200,800);CHKERRQ(ierr);
ierr = PetscViewerDrawGetDrawLG(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),0,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawCheckResizedWindow(draw);CHKERRQ(ierr);
if (!ports) {
ierr = PetscDrawViewPortsCreateRect(draw,1,2,&ports);CHKERRQ(ierr);
}
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
/*
Plot the energies
*/
ierr = PetscDrawLGSetDimension(lg,3);CHKERRQ(ierr);
ierr = PetscDrawViewPortsSet(ports,1);CHKERRQ(ierr);
x = .9;
for (i=0; i<Mx; i++) {
xx[0] = xx[1] = xx[2] = x;
yy[0] = (1.-x*x)*(1. - x*x);
yy[1] = (1. - x*x);
yy[2] = -(1.-x)*PetscLogScalar(1.-x);
ierr = PetscDrawLGAddPoint(lg,xx,yy);CHKERRQ(ierr);
x += hx;
}
ierr = PetscDrawGetPause(draw,&pause);CHKERRQ(ierr);
ierr = PetscDrawSetPause(draw,0.0);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Energy","","");CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,legend);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
/*
Plot the forces
*/
ierr = PetscDrawViewPortsSet(ports,0);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
x = .9;
for (i=0; i<Mx; i++) {
xx[0] = xx[1] = xx[2] = x;
yy[0] = x*x*x - x;
yy[1] = -x;
yy[2] = 1.0 + PetscLogScalar(1. - x);
ierr = PetscDrawLGAddPoint(lg,xx,yy);CHKERRQ(ierr);
x += hx;
}
ierr = PetscDrawAxisSetLabels(axis,"Derivative","","");CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,PETSC_NULL);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = PetscDrawSetPause(draw,pause);CHKERRQ(ierr);
ierr = PetscDrawPause(draw);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
PetscErrorCode KSPMonitorLGRange(KSP ksp,PetscInt n,PetscReal rnorm,void *monctx)
{
PetscDrawLG lg;
PetscErrorCode ierr;
PetscReal x,y,per;
PetscViewer v = (PetscViewer)monctx;
static PetscReal prev; /* should be in the context */
PetscDraw draw;
PetscFunctionBegin;
ierr = PetscViewerDrawGetDrawLG(v,0,&lg);CHKERRQ(ierr);
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetTitle(draw,"Residual norm");CHKERRQ(ierr);
x = (PetscReal) n;
if (rnorm > 0.0) y = PetscLog10Real(rnorm);
else y = -15.0;
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
ierr = PetscViewerDrawGetDrawLG(v,1,&lg);CHKERRQ(ierr);
ierr = KSPMonitorRange_Private(ksp,n,&per);CHKERRQ(ierr);
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetTitle(draw,"% elemts > .2*max elemt");CHKERRQ(ierr);
x = (PetscReal) n;
y = 100.0*per;
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
ierr = PetscViewerDrawGetDrawLG(v,2,&lg);CHKERRQ(ierr);
if (!n) {prev = rnorm;ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetTitle(draw,"(norm -oldnorm)/oldnorm*(% > .2 max)");CHKERRQ(ierr);
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetTitle(draw,"(norm -oldnorm)/oldnorm");CHKERRQ(ierr);
x = (PetscReal) n;
y = (prev - rnorm)/prev;
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
ierr = PetscViewerDrawGetDrawLG(v,3,&lg);CHKERRQ(ierr);
if (!n) {ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);}
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetTitle(draw,"(norm -oldnorm)/oldnorm*(% > .2 max)");CHKERRQ(ierr);
x = (PetscReal) n;
y = (prev - rnorm)/(prev*per);
if (n > 5) {
ierr = PetscDrawLGAddPoint(lg,&x,&y);CHKERRQ(ierr);
}
if (n < 20 || !(n % 5)) {
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
}
prev = rnorm;
PetscFunctionReturn(0);
}
/*
This routine is not parallel
*/
PetscErrorCode MyMonitor(TS ts,PetscInt step,PetscReal time,Vec U,void *ptr)
{
UserCtx *ctx = (UserCtx*)ptr;
PetscDrawLG lg;
PetscErrorCode ierr;
PetscScalar *u;
PetscInt Mx,i,xs,xm,cnt;
PetscReal x,y,hx,pause,sx,len,max,xx[2],yy[2];
PetscDraw draw;
Vec localU;
DM da;
int colors[] = {PETSC_DRAW_YELLOW,PETSC_DRAW_RED,PETSC_DRAW_BLUE};
const char*const legend[] = {"-kappa (\\grad u,\\grad u)","(1 - u^2)^2"};
PetscDrawAxis axis;
PetscDrawViewPorts *ports;
PetscReal vbounds[] = {-1.1,1.1};
PetscFunctionBegin;
ierr = PetscViewerDrawSetBounds(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),1,vbounds);CHKERRQ(ierr);
ierr = PetscViewerDrawResize(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),1200,800);CHKERRQ(ierr);
ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
ierr = DMGetLocalVector(da,&localU);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,PETSC_IGNORE,&Mx,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE,PETSC_IGNORE);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,NULL,NULL,&xm,NULL,NULL);CHKERRQ(ierr);
hx = 1.0/(PetscReal)Mx; sx = 1.0/(hx*hx);
ierr = DMGlobalToLocalBegin(da,U,INSERT_VALUES,localU);CHKERRQ(ierr);
ierr = DMGlobalToLocalEnd(da,U,INSERT_VALUES,localU);CHKERRQ(ierr);
ierr = DMDAVecGetArrayRead(da,localU,&u);CHKERRQ(ierr);
ierr = PetscViewerDrawGetDrawLG(PETSC_VIEWER_DRAW_(PETSC_COMM_WORLD),1,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetDraw(lg,&draw);CHKERRQ(ierr);
ierr = PetscDrawCheckResizedWindow(draw);CHKERRQ(ierr);
if (!ctx->ports) {
ierr = PetscDrawViewPortsCreateRect(draw,1,3,&ctx->ports);CHKERRQ(ierr);
}
ports = ctx->ports;
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
xx[0] = 0.0; xx[1] = 1.0; cnt = 2;
ierr = PetscOptionsGetRealArray(NULL,NULL,"-zoom",xx,&cnt,NULL);CHKERRQ(ierr);
xs = xx[0]/hx; xm = (xx[1] - xx[0])/hx;
/*
Plot the energies
*/
ierr = PetscDrawLGSetDimension(lg,1 + (ctx->allencahn ? 1 : 0));CHKERRQ(ierr);
ierr = PetscDrawLGSetColors(lg,colors+1);CHKERRQ(ierr);
ierr = PetscDrawViewPortsSet(ports,2);CHKERRQ(ierr);
x = hx*xs;
for (i=xs; i<xs+xm; i++) {
xx[0] = xx[1] = x;
yy[0] = PetscRealPart(.25*ctx->kappa*(u[i-1] - u[i+1])*(u[i-1] - u[i+1])*sx);
if (ctx->allencahn) yy[1] = .25*PetscRealPart((1. - u[i]*u[i])*(1. - u[i]*u[i]));
ierr = PetscDrawLGAddPoint(lg,xx,yy);CHKERRQ(ierr);
x += hx;
}
ierr = PetscDrawGetPause(draw,&pause);CHKERRQ(ierr);
ierr = PetscDrawSetPause(draw,0.0);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Energy","","");CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,legend);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
/*
Plot the forces
*/
ierr = PetscDrawViewPortsSet(ports,1);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
x = xs*hx;;
max = 0.;
for (i=xs; i<xs+xm; i++) {
xx[0] = xx[1] = x;
yy[0] = PetscRealPart(ctx->kappa*(u[i-1] + u[i+1] - 2.0*u[i])*sx);
max = PetscMax(max,PetscAbs(yy[0]));
if (ctx->allencahn) {
yy[1] = PetscRealPart(u[i] - u[i]*u[i]*u[i]);
max = PetscMax(max,PetscAbs(yy[1]));
}
ierr = PetscDrawLGAddPoint(lg,xx,yy);CHKERRQ(ierr);
x += hx;
}
ierr = PetscDrawAxisSetLabels(axis,"Right hand side","","");CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,NULL);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
/*
Plot the solution
*/
ierr = PetscDrawLGSetDimension(lg,1);CHKERRQ(ierr);
ierr = PetscDrawViewPortsSet(ports,0);CHKERRQ(ierr);
ierr = PetscDrawLGReset(lg);CHKERRQ(ierr);
x = hx*xs;
ierr = PetscDrawLGSetLimits(lg,x,x+(xm-1)*hx,-1.1,1.1);CHKERRQ(ierr);
ierr = PetscDrawLGSetColors(lg,colors);CHKERRQ(ierr);
for (i=xs; i<xs+xm; i++) {
xx[0] = x;
yy[0] = PetscRealPart(u[i]);
ierr = PetscDrawLGAddPoint(lg,xx,yy);CHKERRQ(ierr);
x += hx;
}
ierr = PetscDrawAxisSetLabels(axis,"Solution","","");CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
/*
Print the forces as arrows on the solution
*/
x = hx*xs;
cnt = xm/60;
cnt = (!cnt) ? 1 : cnt;
for (i=xs; i<xs+xm; i += cnt) {
y = PetscRealPart(u[i]);
len = .5*PetscRealPart(ctx->kappa*(u[i-1] + u[i+1] - 2.0*u[i])*sx)/max;
ierr = PetscDrawArrow(draw,x,y,x,y+len,PETSC_DRAW_RED);CHKERRQ(ierr);
if (ctx->allencahn) {
len = .5*PetscRealPart(u[i] - u[i]*u[i]*u[i])/max;
ierr = PetscDrawArrow(draw,x,y,x,y+len,PETSC_DRAW_BLUE);CHKERRQ(ierr);
}
x += cnt*hx;
}
ierr = DMDAVecRestoreArrayRead(da,localU,&x);CHKERRQ(ierr);
ierr = DMRestoreLocalVector(da,&localU);CHKERRQ(ierr);
ierr = PetscDrawStringSetSize(draw,.2,.2);CHKERRQ(ierr);
ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
ierr = PetscDrawSetPause(draw,pause);CHKERRQ(ierr);
ierr = PetscDrawPause(draw);CHKERRQ(ierr);
PetscFunctionReturn(0);
}
/*
Run with -build_twosided allreduce -pc_type bjacobi -sub_pc_type lu -q 16 -ksp_rtol 1.e-34 (or 1.e-14 for double precision)
-q <q> number of spectral elements to use
-N <N> maximum number of GLL points per element
*/
int main(int argc,char **args)
{
PetscErrorCode ierr;
PetscGLL gll;
PetscInt N = 80,n,q = 8,xs,xn,j,l;
PetscReal **A;
Mat K;
KSP ksp;
PC pc;
Vec x,b;
PetscInt *rows;
PetscReal norm,xc,yc,h;
PetscScalar *f;
PetscDraw draw;
PetscDrawLG lg;
PetscDrawAxis axis;
DM da;
PetscMPIInt rank,size;
ierr = PetscInitialize(&argc,&args,NULL,NULL);if (ierr) return ierr;
ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(PETSC_COMM_WORLD,&size);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-N",&N,NULL);CHKERRQ(ierr);
ierr = PetscOptionsGetInt(NULL,NULL,"-q",&q,NULL);CHKERRQ(ierr);
ierr = PetscDrawCreate(PETSC_COMM_WORLD,NULL,"Log(Error norm) vs Number of GLL points",0,0,500,500,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(draw,1,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGSetUseMarkers(lg,PETSC_TRUE);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,NULL,"Number of GLL points","Log(Error Norm)");CHKERRQ(ierr);
for (n=4; n<N; n+=2) {
/*
da contains the information about the parallel layout of the elements
*/
ierr = DMDACreate1d(PETSC_COMM_WORLD,DM_BOUNDARY_NONE,q*(n-1)+1,1,1,NULL,&da);CHKERRQ(ierr);
ierr = DMSetFromOptions(da);CHKERRQ(ierr);
ierr = DMSetUp(da);CHKERRQ(ierr);
ierr = DMDAGetInfo(da,NULL,&q,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL,NULL);CHKERRQ(ierr);
q = (q-1)/(n-1); /* number of spectral elements */
/*
gll simply contains the GLL node and weight values
*/
ierr = PetscGLLCreate(n,PETSCGLL_VIA_LINEARALGEBRA,&gll);CHKERRQ(ierr);
ierr = DMDASetGLLCoordinates(da,&gll);CHKERRQ(ierr);
/*
Creates the element stiffness matrix for the given gll
*/
ierr = PetscGLLElementLaplacianCreate(&gll,&A);CHKERRQ(ierr);
/*
Scale the element stiffness and weights by the size of the element
*/
h = 2.0/q;
for (j=0; j<n; j++) {
gll.weights[j] *= .5*h;
for (l=0; l<n; l++) {
A[j][l] = 2.*A[j][l]/h;
}
}
/*
Create the global stiffness matrix and add the element stiffness for each local element
*/
ierr = DMCreateMatrix(da,&K);CHKERRQ(ierr);
ierr = MatSetOption(K,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
ierr = DMDAGetCorners(da,&xs,NULL,NULL,&xn,NULL,NULL);CHKERRQ(ierr);
xs = xs/(n-1);
xn = xn/(n-1);
ierr = PetscMalloc1(n,&rows);CHKERRQ(ierr);
/*
loop over local elements
*/
for (j=xs; j<xs+xn; j++) {
for (l=0; l<n; l++) rows[l] = j*(n-1)+l;
ierr = MatSetValues(K,n,rows,n,rows,&A[0][0],ADD_VALUES);CHKERRQ(ierr);
}
ierr = MatAssemblyBegin(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatAssemblyEnd(K,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
ierr = MatCreateVecs(K,&x,&b);CHKERRQ(ierr);
ierr = ComputeRhs(da,&gll,b);CHKERRQ(ierr);
/*
Replace the first and last rows/columns of the matrix with the identity to obtain the zero Dirichlet boundary conditions
*/
rows[0] = 0;
rows[1] = q*(n-1);
ierr = MatZeroRowsColumns(K,2,rows,1.0,x,b);CHKERRQ(ierr);
ierr = PetscFree(rows);CHKERRQ(ierr);
ierr = KSPCreate(PETSC_COMM_WORLD,&ksp);CHKERRQ(ierr);
ierr = KSPSetOperators(ksp,K,K);CHKERRQ(ierr);
ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr);
ierr = PCSetType(pc,PCLU);CHKERRQ(ierr);
ierr = KSPSetFromOptions(ksp);CHKERRQ(ierr);
ierr = KSPSolve(ksp,b,x);CHKERRQ(ierr);
/* compute the error to the continium problem */
ierr = ComputeSolution(da,&gll,b);CHKERRQ(ierr);
ierr = VecAXPY(x,-1.0,b);CHKERRQ(ierr);
/* compute the L^2 norm of the error */
ierr = VecGetArray(x,&f);CHKERRQ(ierr);
ierr = PetscGLLIntegrate(&gll,f,&norm);CHKERRQ(ierr);
ierr = VecRestoreArray(x,&f);CHKERRQ(ierr);
norm = PetscSqrtReal(norm);
ierr = PetscViewerASCIIPrintf(PETSC_VIEWER_STDOUT_WORLD,"L^2 norm of the error %D %g\n",n,(double)norm);CHKERRQ(ierr);
if (n > 10 && norm > 1.e-8) SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Slower convergence than expected");
xc = (PetscReal)n;
yc = PetscLog10Real(norm);
ierr = PetscDrawLGAddPoint(lg,&xc,&yc);CHKERRQ(ierr);
ierr = PetscDrawLGDraw(lg);CHKERRQ(ierr);
ierr = VecDestroy(&b);CHKERRQ(ierr);
ierr = VecDestroy(&x);CHKERRQ(ierr);
ierr = KSPDestroy(&ksp);CHKERRQ(ierr);
ierr = MatDestroy(&K);CHKERRQ(ierr);
ierr = PetscGLLElementLaplacianDestroy(&gll,&A);CHKERRQ(ierr);
ierr = PetscGLLDestroy(&gll);CHKERRQ(ierr);
ierr = DMDestroy(&da);CHKERRQ(ierr);
}
ierr = PetscDrawLGDestroy(&lg);CHKERRQ(ierr);
ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
ierr = PetscFinalize();
return ierr;
}
