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;
}
Draw( unsigned dim_, const MPI_Comm comm ) : dim( dim_ )
{
// static unsigned w{0};
window = _draw_window_num_;
_draw_window_num_ += 1;
viewer = PETSC_VIEWER_DRAW_( comm );
PetscViewerDrawGetDraw( viewer, static_cast<int>( window ), &draw );
PetscViewerDrawGetDrawLG( viewer, static_cast<int>( window ), &lg );
PetscDrawSetDoubleBuffer( draw );
PetscDrawLGSetDimension( lg, static_cast<int>( dim ) );
PetscDrawLGGetAxis( lg, &axis );
}
/*@C
DMNetworkMonitorAdd - Adds a new viewer to monitor
Collective on DMNetworkMonitor
Input Parameters:
+ monitor - the monitor
. name - name of viewer
. element - vertex / edge number
. nodes - number of nodes
. start - variable starting offset
. blocksize - variable blocksize
. xmin - xmin (or PETSC_DECIDE) for viewer
. xmax - xmax (or PETSC_DECIDE) for viewer
. ymin - ymin for viewer
. ymax - ymax for viewer
- hold - determines if plot limits should be held
Level: intermediate
Notes:
This is written to be independent of the semantics associated to the variables
at a given network vertex / edge.
Precisely, the parameters nodes, start and blocksize allow you to select a general
strided subarray of the variables to monitor.
.seealso: DMNetworkMonitorCreate(), DMNetworkMonitorDestroy()
@*/
PetscErrorCode DMNetworkMonitorAdd(DMNetworkMonitor monitor,const char *name,PetscInt element,PetscInt nodes,PetscInt start,PetscInt blocksize,PetscReal xmin,PetscReal xmax,PetscReal ymin,PetscReal ymax,PetscBool hold)
{
PetscErrorCode ierr;
PetscDrawLG drawlg;
PetscDrawAxis axis;
PetscMPIInt rank, size;
DMNetworkMonitorList node;
char titleBuffer[64];
PetscInt vStart,vEnd,eStart,eEnd;
PetscFunctionBegin;
ierr = MPI_Comm_rank(monitor->comm, &rank);CHKERRQ(ierr);
ierr = MPI_Comm_size(monitor->comm, &size);CHKERRQ(ierr);
ierr = DMNetworkGetVertexRange(monitor->network, &vStart, &vEnd);CHKERRQ(ierr);
ierr = DMNetworkGetEdgeRange(monitor->network, &eStart, &eEnd);CHKERRQ(ierr);
/* Make window title */
if (vStart <= element && element < vEnd) {
ierr = PetscSNPrintf(titleBuffer, 64, "%s @ vertex %d [%d / %d]", name, element - vStart, rank, size-1);CHKERRQ(ierr);
} else if (eStart <= element && element < eEnd) {
ierr = PetscSNPrintf(titleBuffer, 64, "%s @ edge %d [%d / %d]", name, element - eStart, rank, size-1);CHKERRQ(ierr);
} else {
/* vertex / edge is not on local machine, so skip! */
PetscFunctionReturn(0);
}
ierr = PetscMalloc1(1, &node);CHKERRQ(ierr);
/* Setup viewer. */
ierr = PetscViewerDrawOpen(monitor->comm, NULL, titleBuffer, PETSC_DECIDE, PETSC_DECIDE, PETSC_DRAW_QUARTER_SIZE, PETSC_DRAW_QUARTER_SIZE, &(node->viewer));CHKERRQ(ierr);
ierr = PetscViewerPushFormat(node->viewer, PETSC_VIEWER_DRAW_LG_XRANGE);CHKERRQ(ierr);
ierr = PetscViewerDrawGetDrawLG(node->viewer, 0, &drawlg);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(drawlg, &axis);CHKERRQ(ierr);
if (xmin != PETSC_DECIDE && xmax != PETSC_DECIDE) {
ierr = PetscDrawAxisSetLimits(axis, xmin, xmax, ymin, ymax);CHKERRQ(ierr);
} else {
ierr = PetscDrawAxisSetLimits(axis, 0, nodes-1, ymin, ymax);CHKERRQ(ierr);
}
ierr = PetscDrawAxisSetHoldLimits(axis, hold);CHKERRQ(ierr);
/* Setup vector storage for drawing. */
ierr = VecCreateSeq(PETSC_COMM_SELF, nodes, &(node->v));CHKERRQ(ierr);
node->element = element;
node->nodes = nodes;
node->start = start;
node->blocksize = blocksize;
node->next = monitor->firstnode;
monitor->firstnode = node;
PetscFunctionReturn(0);
}
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;
}
/*@C
KSPMonitorLGResidualNormCreate - Creates a line graph context for use with
KSP to monitor convergence of preconditioned residual norms.
Collective on KSP
Input Parameters:
+ comm - communicator context
. host - the X display to open, or null for the local machine
. label - the title to put in the title bar
. x, y - the screen coordinates of the upper left coordinate of
the window
- m, n - the screen width and height in pixels
Output Parameter:
. lgctx - the drawing context
Options Database Key:
. -ksp_monitor_lg_residualnorm - Sets line graph monitor
Notes:
Use PetscDrawLGDestroy() to destroy this line graph.
Level: intermediate
.keywords: KSP, monitor, line graph, residual, create
.seealso: KSPMonitorSet(), KSPMonitorLGTrueResidualCreate()
@*/
PetscErrorCode KSPMonitorLGResidualNormCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscDrawLG *lgctx)
{
PetscDraw draw;
PetscErrorCode ierr;
PetscDrawAxis axis;
PetscDrawLG lg;
PetscFunctionBegin;
ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(draw,1,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGSetFromOptions(lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Convergence","Iteration","Residual Norm");CHKERRQ(ierr);
ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
*lgctx = lg;
PetscFunctionReturn(0);
}
/*@C
KSPMonitorLGResidualNormCreate - Creates a line graph context for use with
KSP to monitor convergence of preconditioned residual norms.
Collective on KSP
Input Parameters:
+ host - the X display to open, or null for the local machine
. label - the title to put in the title bar
. x, y - the screen coordinates of the upper left coordinate of
the window
- m, n - the screen width and height in pixels
Output Parameter:
. draw - the drawing context
Options Database Key:
. -ksp_monitor_lg_residualnorm - Sets line graph monitor
Notes:
Use KSPMonitorLGResidualNormDestroy() to destroy this line graph; do not use PetscDrawLGDestroy().
Level: intermediate
.keywords: KSP, monitor, line graph, residual, create
.seealso: KSPMonitorLGResidualNormDestroy(), KSPMonitorSet(), KSPMonitorLGTrueResidualCreate()
@*/
PetscErrorCode KSPMonitorLGResidualNormCreate(const char host[],const char label[],int x,int y,int m,int n,PetscObject **objs)
{
PetscDraw win;
PetscErrorCode ierr;
PetscDrawAxis axis;
PetscDrawLG draw;
PetscFunctionBegin;
ierr = PetscDrawCreate(PETSC_COMM_SELF,host,label,x,y,m,n,&win);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(win,1,&draw);CHKERRQ(ierr);
ierr = PetscDrawLGSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(draw,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Convergence","Iteration","Residual Norm");CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)draw,(PetscObject)win);CHKERRQ(ierr);
ierr = PetscMalloc1(2,objs);CHKERRQ(ierr);
(*objs)[0] = (PetscObject)draw;
(*objs)[1] = (PetscObject)win;
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);
}
/*@C
KSPMonitorSNESLGResidualNormCreate - Creates a line graph context for use with
KSP to monitor convergence of preconditioned residual norms.
Collective on KSP
Input Parameters:
+ comm - communicator context
. host - the X display to open, or null for the local machine
. label - the title to put in the title bar
. x, y - the screen coordinates of the upper left coordinate of
the window
- m, n - the screen width and height in pixels
Output Parameter:
. draw - the drawing context
Options Database Key:
. -ksp_monitor_lg_residualnorm - Sets line graph monitor
Notes:
Use KSPMonitorSNESLGResidualNormDestroy() to destroy this line graph; do not use PetscDrawLGDestroy().
Level: intermediate
.keywords: KSP, monitor, line graph, residual, create
.seealso: KSPMonitorSNESLGResidualNormDestroy(), KSPMonitorSet(), KSPMonitorSNESLGTrueResidualCreate()
@*/
PetscErrorCode KSPMonitorSNESLGResidualNormCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscObject **objs)
{
PetscDraw draw;
PetscErrorCode ierr;
PetscDrawAxis axis;
PetscDrawLG lg;
const char *names[] = {"Linear residual","Nonlinear residual"};
PetscFunctionBegin;
ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(draw,2,&lg);CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(lg,names);CHKERRQ(ierr);
ierr = PetscDrawLGSetFromOptions(lg);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(lg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Convergence of Residual Norm","Iteration","Residual Norm");CHKERRQ(ierr);
ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
ierr = PetscMalloc1(2,objs);CHKERRQ(ierr);
(*objs)[1] = (PetscObject)lg;
PetscFunctionReturn(0);
}
/*@C
KSPMonitorSNESLGResidualNormCreate - Creates a line graph context for use with
KSP to monitor convergence of preconditioned residual norms.
Collective on KSP
Input Parameters:
+ host - the X display to open, or null for the local machine
. label - the title to put in the title bar
. x, y - the screen coordinates of the upper left coordinate of
the window
- m, n - the screen width and height in pixels
Output Parameter:
. draw - the drawing context
Options Database Key:
. -ksp_monitor_lg_residualnorm - Sets line graph monitor
Notes:
Use KSPMonitorSNESLGResidualNormDestroy() to destroy this line graph; do not use PetscDrawLGDestroy().
Level: intermediate
.keywords: KSP, monitor, line graph, residual, create
.seealso: KSPMonitorSNESLGResidualNormDestroy(), KSPMonitorSet(), KSPMonitorSNESLGTrueResidualCreate()
@*/
PetscErrorCode KSPMonitorSNESLGResidualNormCreate(const char host[],const char label[],int x,int y,int m,int n,PetscObject **objs)
{
PetscDraw draw;
PetscErrorCode ierr;
PetscDrawAxis axis;
PetscDrawLG drawlg;
const char *names[] = {"Linear residual","Nonlinear residual"};
PetscFunctionBegin;
ierr = PetscDrawCreate(PETSC_COMM_SELF,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
ierr = PetscDrawLGCreate(draw,2,&drawlg);CHKERRQ(ierr);
ierr = PetscDrawLGSetFromOptions(drawlg);CHKERRQ(ierr);
ierr = PetscDrawLGGetAxis(drawlg,&axis);CHKERRQ(ierr);
ierr = PetscDrawAxisSetLabels(axis,"Convergence of Residual Norm","Iteration","Residual Norm");CHKERRQ(ierr);
ierr = PetscDrawLGSetLegend(drawlg,names);CHKERRQ(ierr);
ierr = PetscLogObjectParent((PetscObject)drawlg,(PetscObject)draw);CHKERRQ(ierr);
ierr = PetscMalloc1(3,objs);CHKERRQ(ierr);
(*objs)[1] = (PetscObject)drawlg;
(*objs)[2] = (PetscObject)draw;
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);
}
/*
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;
}
