Date: 2022-03-31T04:48:40+00:00

Actual source code: tsmon.c

      1: #include <petsc/private/tsimpl.h>
      2: #include <petscdm.h>
      3: #include <petscds.h>
      4: #include <petscdmswarm.h>
      5: #include <petscdraw.h>

      7: /*@C
      8:    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()

     10:    Collective on TS

     12:    Input Parameters:
     13: +  ts - time stepping context obtained from TSCreate()
     14: .  step - step number that has just completed
     15: .  ptime - model time of the state
     16: -  u - state at the current model time

     18:    Notes:
     19:    TSMonitor() is typically used automatically within the time stepping implementations.
     20:    Users would almost never call this routine directly.

     22:    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions

     24:    Level: developer

     26: @*/
     27: PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
     28: {
     29:   DM             dm;
     30:   PetscInt       i,n = ts->numbermonitors;

     35:   TSGetDM(ts,&dm);
     36:   DMSetOutputSequenceNumber(dm,step,ptime);

     38:   VecLockReadPush(u);
     39:   for (i=0; i<n; i++) {
     40:     (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);
     41:   }
     42:   VecLockReadPop(u);
     43:   return 0;
     44: }

     46: /*@C
     47:    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user

     49:    Collective on TS

     51:    Input Parameters:
     52: +  ts - TS object you wish to monitor
     53: .  name - the monitor type one is seeking
     54: .  help - message indicating what monitoring is done
     55: .  manual - manual page for the monitor
     56: .  monitor - the monitor function
     57: -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects

     59:    Level: developer

     61: .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
     62:           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
     63:           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
     64:           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
     65:           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
     66:           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
     67:           PetscOptionsFList(), PetscOptionsEList()
     68: @*/
     69: PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
     70: {
     71:   PetscViewer       viewer;
     72:   PetscViewerFormat format;
     73:   PetscBool         flg;

     75:   PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject) ts)->options,((PetscObject)ts)->prefix,name,&viewer,&format,&flg);
     76:   if (flg) {
     77:     PetscViewerAndFormat *vf;
     78:     PetscViewerAndFormatCreate(viewer,format,&vf);
     79:     PetscObjectDereference((PetscObject)viewer);
     80:     if (monitorsetup) {
     81:       (*monitorsetup)(ts,vf);
     82:     }
     83:     TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);
     84:   }
     85:   return 0;
     86: }

     88: /*@C
     89:    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
     90:    timestep to display the iteration's  progress.

     92:    Logically Collective on TS

     94:    Input Parameters:
     95: +  ts - the TS context obtained from TSCreate()
     96: .  monitor - monitoring routine
     97: .  mctx - [optional] user-defined context for private data for the
     98:              monitor routine (use NULL if no context is desired)
     99: -  monitordestroy - [optional] routine that frees monitor context
    100:           (may be NULL)

    102:    Calling sequence of monitor:
    103: $    PetscErrorCode monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)

    105: +    ts - the TS context
    106: .    steps - iteration number (after the final time step the monitor routine may be called with a step of -1, this indicates the solution has been interpolated to this time)
    107: .    time - current time
    108: .    u - current iterate
    109: -    mctx - [optional] monitoring context

    111:    Notes:
    112:    This routine adds an additional monitor to the list of monitors that
    113:    already has been loaded.

    115:    Fortran Notes:
    116:     Only a single monitor function can be set for each TS object

    118:    Level: intermediate

    120: .seealso: TSMonitorDefault(), TSMonitorCancel()
    121: @*/
    122: PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
    123: {
    124:   PetscInt       i;
    125:   PetscBool      identical;

    128:   for (i=0; i<ts->numbermonitors;i++) {
    129:     PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);
    130:     if (identical) return 0;
    131:   }
    133:   ts->monitor[ts->numbermonitors]          = monitor;
    134:   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
    135:   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
    136:   return 0;
    137: }

    139: /*@C
    140:    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.

    142:    Logically Collective on TS

    144:    Input Parameters:
    145: .  ts - the TS context obtained from TSCreate()

    147:    Notes:
    148:    There is no way to remove a single, specific monitor.

    150:    Level: intermediate

    152: .seealso: TSMonitorDefault(), TSMonitorSet()
    153: @*/
    154: PetscErrorCode  TSMonitorCancel(TS ts)
    155: {
    156:   PetscInt       i;

    159:   for (i=0; i<ts->numbermonitors; i++) {
    160:     if (ts->monitordestroy[i]) {
    161:       (*ts->monitordestroy[i])(&ts->monitorcontext[i]);
    162:     }
    163:   }
    164:   ts->numbermonitors = 0;
    165:   return 0;
    166: }

    168: /*@C
    169:    TSMonitorDefault - The Default monitor, prints the timestep and time for each step

    171:    Level: intermediate

    173: .seealso:  TSMonitorSet()
    174: @*/
    175: PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
    176: {
    177:   PetscViewer    viewer =  vf->viewer;
    178:   PetscBool      iascii,ibinary;

    181:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    182:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);
    183:   PetscViewerPushFormat(viewer,vf->format);
    184:   if (iascii) {
    185:     PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);
    186:     if (step == -1) { /* this indicates it is an interpolated solution */
    187:       PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);
    188:     } else {
    189:       PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");
    190:     }
    191:     PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);
    192:   } else if (ibinary) {
    193:     PetscMPIInt rank;
    194:     MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);
    195:     if (!rank) {
    196:       PetscBool skipHeader;
    197:       PetscInt  classid = REAL_FILE_CLASSID;

    199:       PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);
    200:       if (!skipHeader) {
    201:          PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT);
    202:        }
    203:       PetscRealView(1,&ptime,viewer);
    204:     } else {
    205:       PetscRealView(0,&ptime,viewer);
    206:     }
    207:   }
    208:   PetscViewerPopFormat(viewer);
    209:   return 0;
    210: }

    212: /*@C
    213:    TSMonitorExtreme - Prints the extreme values of the solution at each timestep

    215:    Level: intermediate

    217: .seealso:  TSMonitorSet()
    218: @*/
    219: PetscErrorCode TSMonitorExtreme(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
    220: {
    221:   PetscViewer    viewer =  vf->viewer;
    222:   PetscBool      iascii;
    223:   PetscReal      max,min;

    226:   PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
    227:   PetscViewerPushFormat(viewer,vf->format);
    228:   if (iascii) {
    229:     VecMax(v,NULL,&max);
    230:     VecMin(v,NULL,&min);
    231:     PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);
    232:     PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s max %g min %g\n",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)" : "",(double)max,(double)min);
    233:     PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);
    234:   }
    235:   PetscViewerPopFormat(viewer);
    236:   return 0;
    237: }

    239: /*@C
    240:    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
    241:    TS to monitor the solution process graphically in various ways

    243:    Collective on TS

    245:    Input Parameters:
    246: +  host - the X display to open, or null for the local machine
    247: .  label - the title to put in the title bar
    248: .  x, y - the screen coordinates of the upper left coordinate of the window
    249: .  m, n - the screen width and height in pixels
    250: -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time

    252:    Output Parameter:
    253: .  ctx - the context

    255:    Options Database Key:
    256: +  -ts_monitor_lg_timestep - automatically sets line graph monitor
    257: +  -ts_monitor_lg_timestep_log - automatically sets line graph monitor
    258: .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
    259: .  -ts_monitor_lg_error -  monitor the error
    260: .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
    261: .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
    262: -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true

    264:    Notes:
    265:    Use TSMonitorLGCtxDestroy() to destroy.

    267:    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()

    269:    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
    270:    first argument (if that TS object does not have a TSMonitorLGCtx associated with it the function call is ignored) and the second takes a TSMonitorLGCtx object
    271:    as the first argument.

    273:    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()

    275:    Level: intermediate

    277: .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
    278:            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
    279:            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
    280:            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
    281:            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()

    283: @*/
    284: PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
    285: {
    286:   PetscDraw      draw;

    288:   PetscNew(ctx);
    289:   PetscDrawCreate(comm,host,label,x,y,m,n,&draw);
    290:   PetscDrawSetFromOptions(draw);
    291:   PetscDrawLGCreate(draw,1,&(*ctx)->lg);
    292:   PetscDrawLGSetFromOptions((*ctx)->lg);
    293:   PetscDrawDestroy(&draw);
    294:   (*ctx)->howoften = howoften;
    295:   return 0;
    296: }

    298: PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
    299: {
    300:   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
    301:   PetscReal      x   = ptime,y;

    303:   if (step < 0) return 0; /* -1 indicates an interpolated solution */
    304:   if (!step) {
    305:     PetscDrawAxis axis;
    306:     const char *ylabel = ctx->semilogy ? "Log Time Step" : "Time Step";
    307:     PetscDrawLGGetAxis(ctx->lg,&axis);
    308:     PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time",ylabel);
    309:     PetscDrawLGReset(ctx->lg);
    310:   }
    311:   TSGetTimeStep(ts,&y);
    312:   if (ctx->semilogy) y = PetscLog10Real(y);
    313:   PetscDrawLGAddPoint(ctx->lg,&x,&y);
    314:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
    315:     PetscDrawLGDraw(ctx->lg);
    316:     PetscDrawLGSave(ctx->lg);
    317:   }
    318:   return 0;
    319: }

    321: /*@C
    322:    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
    323:    with TSMonitorLGCtxCreate().

    325:    Collective on TSMonitorLGCtx

    327:    Input Parameter:
    328: .  ctx - the monitor context

    330:    Level: intermediate

    332: .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
    333: @*/
    334: PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
    335: {
    336:   if ((*ctx)->transformdestroy) {
    337:     ((*ctx)->transformdestroy)((*ctx)->transformctx);
    338:   }
    339:   PetscDrawLGDestroy(&(*ctx)->lg);
    340:   PetscStrArrayDestroy(&(*ctx)->names);
    341:   PetscStrArrayDestroy(&(*ctx)->displaynames);
    342:   PetscFree((*ctx)->displayvariables);
    343:   PetscFree((*ctx)->displayvalues);
    344:   PetscFree(*ctx);
    345:   return 0;
    346: }

    348: /* Creates a TS Monitor SPCtx for use with DMSwarm particle visualizations */
    349: PetscErrorCode TSMonitorSPCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,PetscInt retain,PetscBool phase,TSMonitorSPCtx *ctx)
    350: {
    351:   PetscDraw      draw;

    353:   PetscNew(ctx);
    354:   PetscDrawCreate(comm,host,label,x,y,m,n,&draw);
    355:   PetscDrawSetFromOptions(draw);
    356:   PetscDrawSPCreate(draw,1,&(*ctx)->sp);
    357:   PetscDrawDestroy(&draw);
    358:   (*ctx)->howoften = howoften;
    359:   (*ctx)->retain   = retain;
    360:   (*ctx)->phase    = phase;
    361:   return 0;
    362: }

    364: /*
    365:   Destroys a TSMonitorSPCtx that was created with TSMonitorSPCtxCreate
    366: */
    367: PetscErrorCode TSMonitorSPCtxDestroy(TSMonitorSPCtx *ctx)
    368: {

    370:   PetscDrawSPDestroy(&(*ctx)->sp);
    371:   PetscFree(*ctx);

    373:   return 0;

    375: }

    377: /*@C
    378:    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
    379:    VecView() for the solution at each timestep

    381:    Collective on TS

    383:    Input Parameters:
    384: +  ts - the TS context
    385: .  step - current time-step
    386: .  ptime - current time
    387: -  dummy - either a viewer or NULL

    389:    Options Database:
    390: .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution

    392:    Notes:
    393:     the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
    394:        will look bad

    396:    Level: intermediate

    398: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
    399: @*/
    400: PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
    401: {
    402:   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
    403:   PetscDraw        draw;

    405:   if (!step && ictx->showinitial) {
    406:     if (!ictx->initialsolution) {
    407:       VecDuplicate(u,&ictx->initialsolution);
    408:     }
    409:     VecCopy(u,ictx->initialsolution);
    410:   }
    411:   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) return 0;

    413:   if (ictx->showinitial) {
    414:     PetscReal pause;
    415:     PetscViewerDrawGetPause(ictx->viewer,&pause);
    416:     PetscViewerDrawSetPause(ictx->viewer,0.0);
    417:     VecView(ictx->initialsolution,ictx->viewer);
    418:     PetscViewerDrawSetPause(ictx->viewer,pause);
    419:     PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);
    420:   }
    421:   VecView(u,ictx->viewer);
    422:   if (ictx->showtimestepandtime) {
    423:     PetscReal xl,yl,xr,yr,h;
    424:     char      time[32];

    426:     PetscViewerDrawGetDraw(ictx->viewer,0,&draw);
    427:     PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);
    428:     PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);
    429:     h    = yl + .95*(yr - yl);
    430:     PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);
    431:     PetscDrawFlush(draw);
    432:   }

    434:   if (ictx->showinitial) {
    435:     PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);
    436:   }
    437:   return 0;
    438: }

    440: /*@C
    441:    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram

    443:    Collective on TS

    445:    Input Parameters:
    446: +  ts - the TS context
    447: .  step - current time-step
    448: .  ptime - current time
    449: -  dummy - either a viewer or NULL

    451:    Level: intermediate

    453: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
    454: @*/
    455: PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
    456: {
    457:   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
    458:   PetscDraw         draw;
    459:   PetscDrawAxis     axis;
    460:   PetscInt          n;
    461:   PetscMPIInt       size;
    462:   PetscReal         U0,U1,xl,yl,xr,yr,h;
    463:   char              time[32];
    464:   const PetscScalar *U;
    465:   PetscErrorCode    ierr;

    467:   MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);
    469:   VecGetSize(u,&n);

    472:   PetscViewerDrawGetDraw(ictx->viewer,0,&draw);
    473:   PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);
    474:   PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);
    475:   if (!step) {
    476:     PetscDrawClear(draw);
    477:     PetscDrawAxisDraw(axis);
    478:   }

    480:   VecGetArrayRead(u,&U);
    481:   U0 = PetscRealPart(U[0]);
    482:   U1 = PetscRealPart(U[1]);
    483:   VecRestoreArrayRead(u,&U);
    484:   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) return 0;

    486:   PetscDrawCollectiveBegin(draw);
    487:   PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);
    488:   if (ictx->showtimestepandtime) {
    489:     PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);
    490:     PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);
    491:     h    = yl + .95*(yr - yl);
    492:     PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);
    493:   }
    494:   PetscDrawCollectiveEnd(draw);
    495:   PetscDrawFlush(draw);
    496:   PetscDrawPause(draw);
    497:   PetscDrawSave(draw);
    498:   return 0;
    499: }

    501: /*@C
    502:    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()

    504:    Collective on TS

    506:    Input Parameters:
    507: .    ctx - the monitor context

    509:    Level: intermediate

    511: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
    512: @*/
    513: PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
    514: {
    515:   PetscViewerDestroy(&(*ictx)->viewer);
    516:   VecDestroy(&(*ictx)->initialsolution);
    517:   PetscFree(*ictx);
    518:   return 0;
    519: }

    521: /*@C
    522:    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx

    524:    Collective on TS

    526:    Input Parameter:
    527: .    ts - time-step context

    529:    Output Patameter:
    530: .    ctx - the monitor context

    532:    Options Database:
    533: .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution

    535:    Level: intermediate

    537: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
    538: @*/
    539: PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
    540: {
    541:   PetscNew(ctx);
    542:   PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);
    543:   PetscViewerSetFromOptions((*ctx)->viewer);

    545:   (*ctx)->howoften    = howoften;
    546:   (*ctx)->showinitial = PETSC_FALSE;
    547:   PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);

    549:   (*ctx)->showtimestepandtime = PETSC_FALSE;
    550:   PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);
    551:   return 0;
    552: }

    554: /*@C
    555:    TSMonitorDrawSolutionFunction - Monitors progress of the TS solvers by calling
    556:    VecView() for the solution provided by TSSetSolutionFunction() at each timestep

    558:    Collective on TS

    560:    Input Parameters:
    561: +  ts - the TS context
    562: .  step - current time-step
    563: .  ptime - current time
    564: -  dummy - either a viewer or NULL

    566:    Options Database:
    567: .  -ts_monitor_draw_solution_function - Monitor error graphically, requires user to have provided TSSetSolutionFunction()

    569:    Level: intermediate

    571: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
    572: @*/
    573: PetscErrorCode  TSMonitorDrawSolutionFunction(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
    574: {
    575:   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
    576:   PetscViewer      viewer = ctx->viewer;
    577:   Vec              work;

    579:   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) return 0;
    580:   VecDuplicate(u,&work);
    581:   TSComputeSolutionFunction(ts,ptime,work);
    582:   VecView(work,viewer);
    583:   VecDestroy(&work);
    584:   return 0;
    585: }

    587: /*@C
    588:    TSMonitorDrawError - Monitors progress of the TS solvers by calling
    589:    VecView() for the error at each timestep

    591:    Collective on TS

    593:    Input Parameters:
    594: +  ts - the TS context
    595: .  step - current time-step
    596: .  ptime - current time
    597: -  dummy - either a viewer or NULL

    599:    Options Database:
    600: .  -ts_monitor_draw_error - Monitor error graphically, requires user to have provided TSSetSolutionFunction()

    602:    Level: intermediate

    604: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
    605: @*/
    606: PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
    607: {
    608:   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
    609:   PetscViewer      viewer = ctx->viewer;
    610:   Vec              work;

    612:   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) return 0;
    613:   VecDuplicate(u,&work);
    614:   TSComputeSolutionFunction(ts,ptime,work);
    615:   VecAXPY(work,-1.0,u);
    616:   VecView(work,viewer);
    617:   VecDestroy(&work);
    618:   return 0;
    619: }

    621: /*@C
    622:    TSMonitorSolution - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file or a PetscDraw object

    624:    Collective on TS

    626:    Input Parameters:
    627: +  ts - the TS context
    628: .  step - current time-step
    629: .  ptime - current time
    630: .  u - current state
    631: -  vf - viewer and its format

    633:    Level: intermediate

    635: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
    636: @*/
    637: PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
    638: {
    639:   PetscViewerPushFormat(vf->viewer,vf->format);
    640:   VecView(u,vf->viewer);
    641:   PetscViewerPopFormat(vf->viewer);
    642:   return 0;
    643: }

    645: /*@C
    646:    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.

    648:    Collective on TS

    650:    Input Parameters:
    651: +  ts - the TS context
    652: .  step - current time-step
    653: .  ptime - current time
    654: .  u - current state
    655: -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)

    657:    Level: intermediate

    659:    Notes:
    660:    The VTK format does not allow writing multiple time steps in the same file, therefore a different file will be written for each time step.
    661:    These are named according to the file name template.

    663:    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().

    665: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
    666: @*/
    667: PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
    668: {
    669:   char           filename[PETSC_MAX_PATH_LEN];
    670:   PetscViewer    viewer;

    672:   if (step < 0) return 0; /* -1 indicates interpolated solution */
    673:   PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);
    674:   PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);
    675:   VecView(u,viewer);
    676:   PetscViewerDestroy(&viewer);
    677:   return 0;
    678: }

    680: /*@C
    681:    TSMonitorSolutionVTKDestroy - Destroy context for monitoring

    683:    Collective on TS

    685:    Input Parameters:
    686: .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)

    688:    Level: intermediate

    690:    Note:
    691:    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().

    693: .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
    694: @*/
    695: PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
    696: {
    697:   PetscFree(*(char**)filenametemplate);
    698:   return 0;
    699: }

    701: /*@C
    702:    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
    703:        in a time based line graph

    705:    Collective on TS

    707:    Input Parameters:
    708: +  ts - the TS context
    709: .  step - current time-step
    710: .  ptime - current time
    711: .  u - current solution
    712: -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()

    714:    Options Database:
    715: .   -ts_monitor_lg_solution_variables - enable monitor of lg solution variables

    717:    Level: intermediate

    719:    Notes:
    720:     Each process in a parallel run displays its component solutions in a separate window

    722: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
    723:            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
    724:            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
    725:            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
    726: @*/
    727: PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
    728: {
    729:   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
    730:   const PetscScalar *yy;
    731:   Vec               v;

    733:   if (step < 0) return 0; /* -1 indicates interpolated solution */
    734:   if (!step) {
    735:     PetscDrawAxis axis;
    736:     PetscInt      dim;
    737:     PetscDrawLGGetAxis(ctx->lg,&axis);
    738:     PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");
    739:     if (!ctx->names) {
    740:       PetscBool flg;
    741:       /* user provides names of variables to plot but no names has been set so assume names are integer values */
    742:       PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);
    743:       if (flg) {
    744:         PetscInt i,n;
    745:         char     **names;
    746:         VecGetSize(u,&n);
    747:         PetscMalloc1(n+1,&names);
    748:         for (i=0; i<n; i++) {
    749:           PetscMalloc1(5,&names[i]);
    750:           PetscSNPrintf(names[i],5,"%D",i);
    751:         }
    752:         names[n] = NULL;
    753:         ctx->names = names;
    754:       }
    755:     }
    756:     if (ctx->names && !ctx->displaynames) {
    757:       char      **displaynames;
    758:       PetscBool flg;
    759:       VecGetLocalSize(u,&dim);
    760:       PetscCalloc1(dim+1,&displaynames);
    761:       PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);
    762:       if (flg) {
    763:         TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);
    764:       }
    765:       PetscStrArrayDestroy(&displaynames);
    766:     }
    767:     if (ctx->displaynames) {
    768:       PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);
    769:       PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);
    770:     } else if (ctx->names) {
    771:       VecGetLocalSize(u,&dim);
    772:       PetscDrawLGSetDimension(ctx->lg,dim);
    773:       PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);
    774:     } else {
    775:       VecGetLocalSize(u,&dim);
    776:       PetscDrawLGSetDimension(ctx->lg,dim);
    777:     }
    778:     PetscDrawLGReset(ctx->lg);
    779:   }

    781:   if (!ctx->transform) v = u;
    782:   else (*ctx->transform)(ctx->transformctx,u,&v);
    783:   VecGetArrayRead(v,&yy);
    784:   if (ctx->displaynames) {
    785:     PetscInt i;
    786:     for (i=0; i<ctx->ndisplayvariables; i++)
    787:       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
    788:     PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);
    789:   } else {
    790: #if defined(PETSC_USE_COMPLEX)
    791:     PetscInt  i,n;
    792:     PetscReal *yreal;
    793:     VecGetLocalSize(v,&n);
    794:     PetscMalloc1(n,&yreal);
    795:     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
    796:     PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);
    797:     PetscFree(yreal);
    798: #else
    799:     PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);
    800: #endif
    801:   }
    802:   VecRestoreArrayRead(v,&yy);
    803:   if (ctx->transform) VecDestroy(&v);

    805:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
    806:     PetscDrawLGDraw(ctx->lg);
    807:     PetscDrawLGSave(ctx->lg);
    808:   }
    809:   return 0;
    810: }

    812: /*@C
    813:    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot

    815:    Collective on TS

    817:    Input Parameters:
    818: +  ts - the TS context
    819: -  names - the names of the components, final string must be NULL

    821:    Level: intermediate

    823:    Notes:
    824:     If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored

    826: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
    827: @*/
    828: PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
    829: {
    830:   PetscInt          i;

    832:   for (i=0; i<ts->numbermonitors; i++) {
    833:     if (ts->monitor[i] == TSMonitorLGSolution) {
    834:       TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);
    835:       break;
    836:     }
    837:   }
    838:   return 0;
    839: }

    841: /*@C
    842:    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot

    844:    Collective on TS

    846:    Input Parameters:
    847: +  ts - the TS context
    848: -  names - the names of the components, final string must be NULL

    850:    Level: intermediate

    852: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
    853: @*/
    854: PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
    855: {
    856:   PetscStrArrayDestroy(&ctx->names);
    857:   PetscStrArrayallocpy(names,&ctx->names);
    858:   return 0;
    859: }

    861: /*@C
    862:    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot

    864:    Collective on TS

    866:    Input Parameter:
    867: .  ts - the TS context

    869:    Output Parameter:
    870: .  names - the names of the components, final string must be NULL

    872:    Level: intermediate

    874:    Notes:
    875:     If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored

    877: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
    878: @*/
    879: PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
    880: {
    881:   PetscInt       i;

    883:   *names = NULL;
    884:   for (i=0; i<ts->numbermonitors; i++) {
    885:     if (ts->monitor[i] == TSMonitorLGSolution) {
    886:       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
    887:       *names = (const char *const *)ctx->names;
    888:       break;
    889:     }
    890:   }
    891:   return 0;
    892: }

    894: /*@C
    895:    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor

    897:    Collective on TS

    899:    Input Parameters:
    900: +  ctx - the TSMonitorLG context
    901: -  displaynames - the names of the components, final string must be NULL

    903:    Level: intermediate

    905: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
    906: @*/
    907: PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
    908: {
    909:   PetscInt          j = 0,k;

    911:   if (!ctx->names) return 0;
    912:   PetscStrArrayDestroy(&ctx->displaynames);
    913:   PetscStrArrayallocpy(displaynames,&ctx->displaynames);
    914:   while (displaynames[j]) j++;
    915:   ctx->ndisplayvariables = j;
    916:   PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);
    917:   PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);
    918:   j = 0;
    919:   while (displaynames[j]) {
    920:     k = 0;
    921:     while (ctx->names[k]) {
    922:       PetscBool flg;
    923:       PetscStrcmp(displaynames[j],ctx->names[k],&flg);
    924:       if (flg) {
    925:         ctx->displayvariables[j] = k;
    926:         break;
    927:       }
    928:       k++;
    929:     }
    930:     j++;
    931:   }
    932:   return 0;
    933: }

    935: /*@C
    936:    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor

    938:    Collective on TS

    940:    Input Parameters:
    941: +  ts - the TS context
    942: -  displaynames - the names of the components, final string must be NULL

    944:    Notes:
    945:     If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored

    947:    Level: intermediate

    949: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
    950: @*/
    951: PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
    952: {
    953:   PetscInt          i;

    955:   for (i=0; i<ts->numbermonitors; i++) {
    956:     if (ts->monitor[i] == TSMonitorLGSolution) {
    957:       TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);
    958:       break;
    959:     }
    960:   }
    961:   return 0;
    962: }

    964: /*@C
    965:    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed

    967:    Collective on TS

    969:    Input Parameters:
    970: +  ts - the TS context
    971: .  transform - the transform function
    972: .  destroy - function to destroy the optional context
    973: -  ctx - optional context used by transform function

    975:    Notes:
    976:     If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored

    978:    Level: intermediate

    980: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
    981: @*/
    982: PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
    983: {
    984:   PetscInt          i;

    986:   for (i=0; i<ts->numbermonitors; i++) {
    987:     if (ts->monitor[i] == TSMonitorLGSolution) {
    988:       TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);
    989:     }
    990:   }
    991:   return 0;
    992: }

    994: /*@C
    995:    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed

    997:    Collective on TSLGCtx

    999:    Input Parameters:
    1000: +  ts - the TS context
    1001: .  transform - the transform function
    1002: .  destroy - function to destroy the optional context
    1003: -  ctx - optional context used by transform function

    1005:    Level: intermediate

    1007: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
    1008: @*/
    1009: PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
    1010: {
    1011:   ctx->transform    = transform;
    1012:   ctx->transformdestroy = destroy;
    1013:   ctx->transformctx = tctx;
    1014:   return 0;
    1015: }

    1017: /*@C
    1018:    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the error
    1019:        in a time based line graph

    1021:    Collective on TS

    1023:    Input Parameters:
    1024: +  ts - the TS context
    1025: .  step - current time-step
    1026: .  ptime - current time
    1027: .  u - current solution
    1028: -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()

    1030:    Level: intermediate

    1032:    Notes:
    1033:     Each process in a parallel run displays its component errors in a separate window

    1035:    The user must provide the solution using TSSetSolutionFunction() to use this monitor.

    1037:    Options Database Keys:
    1038: .  -ts_monitor_lg_error - create a graphical monitor of error history

    1040: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
    1041: @*/
    1042: PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
    1043: {
    1044:   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
    1045:   const PetscScalar *yy;
    1046:   Vec               y;

    1048:   if (!step) {
    1049:     PetscDrawAxis axis;
    1050:     PetscInt      dim;
    1051:     PetscDrawLGGetAxis(ctx->lg,&axis);
    1052:     PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Error");
    1053:     VecGetLocalSize(u,&dim);
    1054:     PetscDrawLGSetDimension(ctx->lg,dim);
    1055:     PetscDrawLGReset(ctx->lg);
    1056:   }
    1057:   VecDuplicate(u,&y);
    1058:   TSComputeSolutionFunction(ts,ptime,y);
    1059:   VecAXPY(y,-1.0,u);
    1060:   VecGetArrayRead(y,&yy);
    1061: #if defined(PETSC_USE_COMPLEX)
    1062:   {
    1063:     PetscReal *yreal;
    1064:     PetscInt  i,n;
    1065:     VecGetLocalSize(y,&n);
    1066:     PetscMalloc1(n,&yreal);
    1067:     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
    1068:     PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);
    1069:     PetscFree(yreal);
    1070:   }
    1071: #else
    1072:   PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);
    1073: #endif
    1074:   VecRestoreArrayRead(y,&yy);
    1075:   VecDestroy(&y);
    1076:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
    1077:     PetscDrawLGDraw(ctx->lg);
    1078:     PetscDrawLGSave(ctx->lg);
    1079:   }
    1080:   return 0;
    1081: }

    1083: /*@C
    1084:    TSMonitorSPSwarmSolution - Graphically displays phase plots of DMSwarm particles on a scatter plot

    1086:    Input Parameters:
    1087: +  ts - the TS context
    1088: .  step - current time-step
    1089: .  ptime - current time
    1090: .  u - current solution
    1091: -  dctx - the TSMonitorSPCtx object that contains all the options for the monitoring, this is created with TSMonitorSPCtxCreate()

    1093:    Options Database:
    1094: + -ts_monitor_sp_swarm <n>          - Monitor the solution every n steps, or -1 for plotting only the final solution
    1095: . -ts_monitor_sp_swarm_retain <n>   - Retain n old points so we can see the history, or -1 for all points
    1096: - -ts_monitor_sp_swarm_phase <bool> - Plot in phase space, as opposed to coordinate space

    1098:    Level: intermediate

    1100: .seealso: TSMonitoSet()
    1101: @*/
    1102: PetscErrorCode TSMonitorSPSwarmSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, void *dctx)
    1103: {
    1104:   TSMonitorSPCtx     ctx = (TSMonitorSPCtx) dctx;
    1105:   DM                 dm, cdm;
    1106:   const PetscScalar *yy;
    1107:   PetscReal         *y, *x;
    1108:   PetscInt           Np, p, dim = 2;

    1110:   if (step < 0) return 0; /* -1 indicates interpolated solution */
    1111:   if (!step) {
    1112:     PetscDrawAxis axis;
    1113:     PetscReal     dmboxlower[2], dmboxupper[2];
    1114:     TSGetDM(ts, &dm);
    1115:     DMGetDimension(dm, &dim);
    1117:     DMSwarmGetCellDM(dm, &cdm);
    1118:     DMGetBoundingBox(cdm, dmboxlower, dmboxupper);
    1119:     VecGetLocalSize(u, &Np);
    1120:     Np /= dim*2;
    1121:     PetscDrawSPGetAxis(ctx->sp,&axis);
    1122:     if (ctx->phase) {
    1123:       PetscDrawAxisSetLabels(axis,"Particles","X","V");
    1124:       PetscDrawAxisSetLimits(axis, dmboxlower[0], dmboxupper[0], -5, 5);
    1125:     } else {
    1126:       PetscDrawAxisSetLabels(axis,"Particles","X","Y");
    1127:       PetscDrawAxisSetLimits(axis, dmboxlower[0], dmboxupper[0], dmboxlower[1], dmboxupper[1]);
    1128:     }
    1129:     PetscDrawAxisSetHoldLimits(axis, PETSC_TRUE);
    1130:     PetscDrawSPSetDimension(ctx->sp, Np);
    1131:     PetscDrawSPReset(ctx->sp);
    1132:   }
    1133:   VecGetLocalSize(u, &Np);
    1134:   Np /= dim*2;
    1135:   VecGetArrayRead(u,&yy);
    1136:   PetscMalloc2(Np, &x, Np, &y);
    1137:   /* get points from solution vector */
    1138:   for (p = 0; p < Np; ++p) {
    1139:     if (ctx->phase) {
    1140:       x[p] = PetscRealPart(yy[p*dim*2]);
    1141:       y[p] = PetscRealPart(yy[p*dim*2 + dim]);
    1142:     } else {
    1143:       x[p] = PetscRealPart(yy[p*dim*2]);
    1144:       y[p] = PetscRealPart(yy[p*dim*2 + 1]);
    1145:     }
    1146:   }
    1147:   VecRestoreArrayRead(u,&yy);
    1148:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
    1149:     PetscDraw draw;
    1150:     PetscDrawSPGetDraw(ctx->sp, &draw);
    1151:     if ((ctx->retain == 0) || (ctx->retain > 0 && !(step % ctx->retain))) {
    1152:       PetscDrawClear(draw);
    1153:     }
    1154:     PetscDrawFlush(draw);
    1155:     PetscDrawSPReset(ctx->sp);
    1156:     PetscDrawSPAddPoint(ctx->sp, x, y);
    1157:     PetscDrawSPDraw(ctx->sp, PETSC_FALSE);
    1158:     PetscDrawSPSave(ctx->sp);
    1159:   }
    1160:   PetscFree2(x, y);
    1161:   return 0;
    1162: }

    1164: /*@C
    1165:    TSMonitorError - Monitors progress of the TS solvers by printing the 2 norm of the error at each timestep

    1167:    Collective on TS

    1169:    Input Parameters:
    1170: +  ts - the TS context
    1171: .  step - current time-step
    1172: .  ptime - current time
    1173: .  u - current solution
    1174: -  dctx - unused context

    1176:    Level: intermediate

    1178:    The user must provide the solution using TSSetSolutionFunction() to use this monitor.

    1180:    Options Database Keys:
    1181: .  -ts_monitor_error - create a graphical monitor of error history

    1183: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
    1184: @*/
    1185: PetscErrorCode TSMonitorError(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
    1186: {
    1187:   DM             dm;
    1188:   PetscDS        ds = NULL;
    1189:   PetscInt       Nf = -1, f;
    1190:   PetscBool      flg;

    1192:   TSGetDM(ts, &dm);
    1193:   if (dm) DMGetDS(dm, &ds);
    1194:   if (ds) PetscDSGetNumFields(ds, &Nf);
    1195:   if (Nf <= 0) {
    1196:     Vec       y;
    1197:     PetscReal nrm;

    1199:     VecDuplicate(u,&y);
    1200:     TSComputeSolutionFunction(ts,ptime,y);
    1201:     VecAXPY(y,-1.0,u);
    1202:     PetscObjectTypeCompare((PetscObject)vf->viewer,PETSCVIEWERASCII,&flg);
    1203:     if (flg) {
    1204:       VecNorm(y,NORM_2,&nrm);
    1205:       PetscViewerASCIIPrintf(vf->viewer,"2-norm of error %g\n",(double)nrm);
    1206:     }
    1207:     PetscObjectTypeCompare((PetscObject)vf->viewer,PETSCVIEWERDRAW,&flg);
    1208:     if (flg) {
    1209:       VecView(y,vf->viewer);
    1210:     }
    1211:     VecDestroy(&y);
    1212:   } else {
    1213:     PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, void *ctx);
    1214:     void            **ctxs;
    1215:     Vec               v;
    1216:     PetscReal         ferrors[1];

    1218:     PetscMalloc2(Nf, &exactFuncs, Nf, &ctxs);
    1219:     for (f = 0; f < Nf; ++f) PetscDSGetExactSolution(ds, f, &exactFuncs[f], &ctxs[f]);
    1220:     DMComputeL2FieldDiff(dm, ptime, exactFuncs, ctxs, u, ferrors);
    1221:     PetscPrintf(PETSC_COMM_WORLD, "Timestep: %04d time = %-8.4g \t L_2 Error: [", (int) step, (double) ptime);
    1222:     for (f = 0; f < Nf; ++f) {
    1223:       if (f > 0) PetscPrintf(PETSC_COMM_WORLD, ", ");
    1224:       PetscPrintf(PETSC_COMM_WORLD, "%2.3g", (double) ferrors[f]);
    1225:     }
    1226:     PetscPrintf(PETSC_COMM_WORLD, "]\n");

    1228:     VecViewFromOptions(u, NULL, "-sol_vec_view");

    1230:     PetscOptionsHasName(NULL, NULL, "-exact_vec_view", &flg);
    1231:     if (flg) {
    1232:       DMGetGlobalVector(dm, &v);
    1233:       DMProjectFunction(dm, ptime, exactFuncs, ctxs, INSERT_ALL_VALUES, v);
    1234:       PetscObjectSetName((PetscObject) v, "Exact Solution");
    1235:       VecViewFromOptions(v, NULL, "-exact_vec_view");
    1236:       DMRestoreGlobalVector(dm, &v);
    1237:     }
    1238:     PetscFree2(exactFuncs, ctxs);
    1239:   }
    1240:   return 0;
    1241: }

    1243: PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
    1244: {
    1245:   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
    1246:   PetscReal      x   = ptime,y;
    1247:   PetscInt       its;

    1249:   if (n < 0) return 0; /* -1 indicates interpolated solution */
    1250:   if (!n) {
    1251:     PetscDrawAxis axis;
    1252:     PetscDrawLGGetAxis(ctx->lg,&axis);
    1253:     PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");
    1254:     PetscDrawLGReset(ctx->lg);
    1255:     ctx->snes_its = 0;
    1256:   }
    1257:   TSGetSNESIterations(ts,&its);
    1258:   y    = its - ctx->snes_its;
    1259:   PetscDrawLGAddPoint(ctx->lg,&x,&y);
    1260:   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
    1261:     PetscDrawLGDraw(ctx->lg);
    1262:     PetscDrawLGSave(ctx->lg);
    1263:   }
    1264:   ctx->snes_its = its;
    1265:   return 0;
    1266: }

    1268: PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
    1269: {
    1270:   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
    1271:   PetscReal      x   = ptime,y;
    1272:   PetscInt       its;

    1274:   if (n < 0) return 0; /* -1 indicates interpolated solution */
    1275:   if (!n) {
    1276:     PetscDrawAxis axis;
    1277:     PetscDrawLGGetAxis(ctx->lg,&axis);
    1278:     PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");
    1279:     PetscDrawLGReset(ctx->lg);
    1280:     ctx->ksp_its = 0;
    1281:   }
    1282:   TSGetKSPIterations(ts,&its);
    1283:   y    = its - ctx->ksp_its;
    1284:   PetscDrawLGAddPoint(ctx->lg,&x,&y);
    1285:   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
    1286:     PetscDrawLGDraw(ctx->lg);
    1287:     PetscDrawLGSave(ctx->lg);
    1288:   }
    1289:   ctx->ksp_its = its;
    1290:   return 0;
    1291: }

    1293: /*@C
    1294:    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()

    1296:    Collective on TS

    1298:    Input Parameters:
    1299: .  ts  - the ODE solver object

    1301:    Output Parameter:
    1302: .  ctx - the context

    1304:    Level: intermediate

    1306: .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()

    1308: @*/
    1309: PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
    1310: {
    1311:   PetscNew(ctx);
    1312:   return 0;
    1313: }

    1315: /*@C
    1316:    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution

    1318:    Collective on TS

    1320:    Input Parameters:
    1321: +  ts - the TS context
    1322: .  step - current time-step
    1323: .  ptime - current time
    1324: .  u  - current solution
    1325: -  dctx - the envelope context

    1327:    Options Database:
    1328: .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time

    1330:    Level: intermediate

    1332:    Notes:
    1333:     after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope

    1335: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
    1336: @*/
    1337: PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
    1338: {
    1339:   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;

    1341:   if (!ctx->max) {
    1342:     VecDuplicate(u,&ctx->max);
    1343:     VecDuplicate(u,&ctx->min);
    1344:     VecCopy(u,ctx->max);
    1345:     VecCopy(u,ctx->min);
    1346:   } else {
    1347:     VecPointwiseMax(ctx->max,u,ctx->max);
    1348:     VecPointwiseMin(ctx->min,u,ctx->min);
    1349:   }
    1350:   return 0;
    1351: }

    1353: /*@C
    1354:    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution

    1356:    Collective on TS

    1358:    Input Parameter:
    1359: .  ts - the TS context

    1361:    Output Parameters:
    1362: +  max - the maximum values
    1363: -  min - the minimum values

    1365:    Notes:
    1366:     If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored

    1368:    Level: intermediate

    1370: .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
    1371: @*/
    1372: PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
    1373: {
    1374:   PetscInt i;

    1376:   if (max) *max = NULL;
    1377:   if (min) *min = NULL;
    1378:   for (i=0; i<ts->numbermonitors; i++) {
    1379:     if (ts->monitor[i] == TSMonitorEnvelope) {
    1380:       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
    1381:       if (max) *max = ctx->max;
    1382:       if (min) *min = ctx->min;
    1383:       break;
    1384:     }
    1385:   }
    1386:   return 0;
    1387: }

    1389: /*@C
    1390:    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().

    1392:    Collective on TSMonitorEnvelopeCtx

    1394:    Input Parameter:
    1395: .  ctx - the monitor context

    1397:    Level: intermediate

    1399: .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
    1400: @*/
    1401: PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
    1402: {
    1403:   VecDestroy(&(*ctx)->min);
    1404:   VecDestroy(&(*ctx)->max);
    1405:   PetscFree(*ctx);
    1406:   return 0;
    1407: }

    1409: /*@C
    1410:   TSDMSwarmMonitorMoments - Monitors the first three moments of a DMSarm being evolved by the TS

    1412:   Not collective

    1414:   Input Parameters:
    1415: + ts   - the TS context
    1416: . step - current timestep
    1417: . t    - current time
    1418: . u    - current solution
    1419: - ctx  - not used

    1421:   Options Database:
    1422: . -ts_dmswarm_monitor_moments - Monitor moments of particle distribution

    1424:   Level: intermediate

    1426:   Notes:
    1427:   This requires a DMSwarm be attached to the TS.

    1429: .seealso: TSMonitorSet(), TSMonitorDefault(), DMSWARM
    1430: @*/
    1431: PetscErrorCode TSDMSwarmMonitorMoments(TS ts, PetscInt step, PetscReal t, Vec U, PetscViewerAndFormat *vf)
    1432: {
    1433:   DM                 sw;
    1434:   const PetscScalar *u;
    1435:   PetscReal          m = 1.0, totE = 0., totMom[3] = {0., 0., 0.};
    1436:   PetscInt           dim, d, Np, p;
    1437:   MPI_Comm           comm;

    1440:   TSGetDM(ts, &sw);
    1441:   if (!sw || step%ts->monitorFrequency != 0) return 0;
    1442:   PetscObjectGetComm((PetscObject) ts, &comm);
    1443:   DMGetDimension(sw, &dim);
    1444:   VecGetLocalSize(U, &Np);
    1445:   Np  /= dim;
    1446:   VecGetArrayRead(U, &u);
    1447:   for (p = 0; p < Np; ++p) {
    1448:     for (d = 0; d < dim; ++d) {
    1449:       totE      += PetscRealPart(u[p*dim+d]*u[p*dim+d]);
    1450:       totMom[d] += PetscRealPart(u[p*dim+d]);
    1451:     }
    1452:   }
    1453:   VecRestoreArrayRead(U, &u);
    1454:   for (d = 0; d < dim; ++d) totMom[d] *= m;
    1455:   totE *= 0.5*m;
    1456:   PetscPrintf(comm, "Step %4D Total Energy: %10.8lf", step, (double) totE);
    1457:   for (d = 0; d < dim; ++d) PetscPrintf(comm, "    Total Momentum %c: %10.8lf", 'x'+d, (double) totMom[d]);
    1458:   PetscPrintf(comm, "\n");
    1459:   return 0;
    1460: }