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

 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:   Level: developer

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

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

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

 33:   PetscFunctionBegin;

 37:   PetscCall(TSGetDM(ts, &dm));
 38:   PetscCall(DMSetOutputSequenceNumber(dm, step, ptime));

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

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

 49:   Collective

 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, this must use a `PetscViewerFormat` as its context
 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:   Calling sequence of `monitor`:
 60: + ts   - the `TS` to monitor
 61: . step - the current time-step
 62: . time - the current time
 63: . u    - the current solution
 64: - vf   - the `PetscViewer` and format to monitor with

 66:   Calling sequence of `monitorsetup`:
 67: + ts - the `TS` to monitor
 68: - vf - the `PetscViewer` and format to monitor with

 70:   Level: developer

 72: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `PetscOptionsCreateViewer()`, `PetscOptionsGetReal()`, `PetscOptionsHasName()`, `PetscOptionsGetString()`,
 73:           `PetscOptionsGetIntArray()`, `PetscOptionsGetRealArray()`, `PetscOptionsBool()`
 74:           `PetscOptionsInt()`, `PetscOptionsString()`, `PetscOptionsReal()`,
 75:           `PetscOptionsName()`, `PetscOptionsBegin()`, `PetscOptionsEnd()`, `PetscOptionsHeadBegin()`,
 76:           `PetscOptionsStringArray()`, `PetscOptionsRealArray()`, `PetscOptionsScalar()`,
 77:           `PetscOptionsBoolGroupBegin()`, `PetscOptionsBoolGroup()`, `PetscOptionsBoolGroupEnd()`,
 78:           `PetscOptionsFList()`, `PetscOptionsEList()`
 79: @*/
 80: PetscErrorCode TSMonitorSetFromOptions(TS ts, const char name[], const char help[], const char manual[], PetscErrorCode (*monitor)(TS ts, PetscInt step, PetscReal time, Vec u, PetscViewerAndFormat *vf), PetscErrorCode (*monitorsetup)(TS ts, PetscViewerAndFormat *vf))
 81: {
 82:   PetscViewer       viewer;
 83:   PetscViewerFormat format;
 84:   PetscBool         flg;

 86:   PetscFunctionBegin;
 87:   PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)ts), ((PetscObject)ts)->options, ((PetscObject)ts)->prefix, name, &viewer, &format, &flg));
 88:   if (flg) {
 89:     PetscViewerAndFormat *vf;
 90:     char                  interval_key[1024];

 92:     PetscCall(PetscSNPrintf(interval_key, sizeof interval_key, "%s_interval", name));
 93:     PetscCall(PetscViewerAndFormatCreate(viewer, format, &vf));
 94:     vf->view_interval = 1;
 95:     PetscCall(PetscOptionsGetInt(((PetscObject)ts)->options, ((PetscObject)ts)->prefix, interval_key, &vf->view_interval, NULL));

 97:     PetscCall(PetscViewerDestroy(&viewer));
 98:     if (monitorsetup) PetscCall((*monitorsetup)(ts, vf));
 99:     PetscCall(TSMonitorSet(ts, (PetscErrorCode (*)(TS, PetscInt, PetscReal, Vec, PetscCtx))monitor, vf, (PetscCtxDestroyFn *)PetscViewerAndFormatDestroy));
100:   }
101:   PetscFunctionReturn(PETSC_SUCCESS);
102: }

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

108:   Logically Collective

110:   Input Parameters:
111: + ts       - the `TS` context obtained from `TSCreate()`
112: . monitor  - monitoring routine
113: . mctx     - [optional] user-defined context for private data for the monitor routine (use `NULL` if no context is desired)
114: - mdestroy - [optional] routine that frees monitor context (may be `NULL`), see `PetscCtxDestroyFn` for the calling sequence

116:   Calling sequence of `monitor`:
117: + ts    - the `TS` context
118: . 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)
119: . time  - current time
120: . u     - current iterate
121: - ctx   - [optional] monitoring context

123:   Level: intermediate

125:   Note:
126:   This routine adds an additional monitor to the list of monitors that already has been loaded.

128:   Fortran Notes:
129:   Only a single monitor function can be set for each `TS` object

131: .seealso: [](ch_ts), `TSMonitorDefault()`, `TSMonitorCancel()`, `TSDMSwarmMonitorMoments()`, `TSMonitorExtreme()`, `TSMonitorDrawSolution()`,
132:           `TSMonitorDrawSolutionPhase()`, `TSMonitorDrawSolutionFunction()`, `TSMonitorDrawError()`, `TSMonitorSolution()`, `TSMonitorSolutionVTK()`,
133:           `TSMonitorLGSolution()`, `TSMonitorLGError()`, `TSMonitorSPSwarmSolution()`, `TSMonitorError()`, `TSMonitorEnvelope()`,  `PetscCtxDestroyFn`
134: @*/
135: PetscErrorCode TSMonitorSet(TS ts, PetscErrorCode (*monitor)(TS ts, PetscInt steps, PetscReal time, Vec u, PetscCtx ctx), PetscCtx mctx, PetscCtxDestroyFn *mdestroy)
136: {
137:   PetscFunctionBegin;
139:   for (PetscInt i = 0; i < ts->numbermonitors; i++) {
140:     PetscBool identical;

142:     PetscCall(PetscMonitorCompare((PetscErrorCode (*)(void))(PetscVoidFn *)monitor, mctx, mdestroy, (PetscErrorCode (*)(void))(PetscVoidFn *)ts->monitor[i], ts->monitorcontext[i], ts->monitordestroy[i], &identical));
143:     if (identical) PetscFunctionReturn(PETSC_SUCCESS);
144:   }
145:   PetscCheck(ts->numbermonitors < MAXTSMONITORS, PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Too many monitors set");
146:   ts->monitor[ts->numbermonitors]          = monitor;
147:   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
148:   ts->monitorcontext[ts->numbermonitors++] = mctx;
149:   PetscFunctionReturn(PETSC_SUCCESS);
150: }

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

155:   Logically Collective

157:   Input Parameter:
158: . ts - the `TS` context obtained from `TSCreate()`

160:   Level: intermediate

162:   Note:
163:   There is no way to remove a single, specific monitor.

165: .seealso: [](ch_ts), `TS`, `TSMonitorDefault()`, `TSMonitorSet()`
166: @*/
167: PetscErrorCode TSMonitorCancel(TS ts)
168: {
169:   PetscInt i;

171:   PetscFunctionBegin;
173:   for (i = 0; i < ts->numbermonitors; i++) {
174:     if (ts->monitordestroy[i]) PetscCall((*ts->monitordestroy[i])(&ts->monitorcontext[i]));
175:   }
176:   ts->numbermonitors = 0;
177:   PetscFunctionReturn(PETSC_SUCCESS);
178: }

180: /*@C
181:   TSMonitorDefault - The default monitor, prints the timestep and time for each step

183:   Input Parameters:
184: + ts    - the `TS` context
185: . step  - 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)
186: . ptime - current time
187: . v     - current iterate
188: - vf    - the viewer and format

190:   Options Database Key:
191: . -ts_monitor - monitors the time integration

193:   Level: intermediate

195:   Notes:
196:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
197:   to be used during the `TS` integration.

199: .seealso: [](ch_ts), `TSMonitorSet()`, `TSDMSwarmMonitorMoments()`, `TSMonitorWallClockTime()`, `TSMonitorExtreme()`, `TSMonitorDrawSolution()`,
200:           `TSMonitorDrawSolutionPhase()`, `TSMonitorDrawSolutionFunction()`, `TSMonitorDrawError()`, `TSMonitorSolution()`, `TSMonitorSolutionVTK()`,
201:           `TSMonitorLGSolution()`, `TSMonitorLGError()`, `TSMonitorSPSwarmSolution()`, `TSMonitorError()`, `TSMonitorEnvelope()`
202: @*/
203: PetscErrorCode TSMonitorDefault(TS ts, PetscInt step, PetscReal ptime, Vec v, PetscViewerAndFormat *vf)
204: {
205:   PetscViewer viewer = vf->viewer;
206:   PetscBool   isascii, ibinary;

208:   PetscFunctionBegin;
210:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
211:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERBINARY, &ibinary));
212:   PetscCall(PetscViewerPushFormat(viewer, vf->format));
213:   if (isascii) {
214:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)ts)->tablevel));
215:     if (step == -1) { /* this indicates it is an interpolated solution */
216:       PetscCall(PetscViewerASCIIPrintf(viewer, "Interpolated solution at time %g between steps %" PetscInt_FMT " and %" PetscInt_FMT "\n", (double)ptime, ts->steps - 1, ts->steps));
217:     } else {
218:       PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " TS dt %g time %g%s", step, (double)ts->time_step, (double)ptime, ts->steprollback ? " (r)\n" : "\n"));
219:     }
220:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)ts)->tablevel));
221:   } else if (ibinary) {
222:     PetscMPIInt rank;
223:     PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)viewer), &rank));
224:     if (rank == 0) {
225:       PetscBool skipHeader;
226:       PetscInt  classid = REAL_FILE_CLASSID;

228:       PetscCall(PetscViewerBinaryGetSkipHeader(viewer, &skipHeader));
229:       if (!skipHeader) PetscCall(PetscViewerBinaryWrite(viewer, &classid, 1, PETSC_INT));
230:       PetscCall(PetscRealView(1, &ptime, viewer));
231:     } else {
232:       PetscCall(PetscRealView(0, &ptime, viewer));
233:     }
234:   }
235:   PetscCall(PetscViewerPopFormat(viewer));
236:   PetscFunctionReturn(PETSC_SUCCESS);
237: }

239: typedef struct {
240:   PetscLogDouble time_start;
241:   PetscLogDouble time_last;
242:   PetscInt       snes_its;
243:   PetscInt       ksp_its;
244: } *TSMonitorWallClockTimeContext;

246: /*@C
247:   TSMonitorWallClockTimeSetUp - Setup routine passed to `TSMonitorSetFromOptions()` when using `-ts_monitor_wall_clock_time`

249:   Input Parameters:
250: + ts - the `TS` context
251: - vf - the viewer and format

253:   Level: intermediate

255:   Note:
256:   This is not called directly by users, rather one calls `TSMonitorSetFromOptions()`, with `TSMonitorWallClockTime()` and this function as arguments, to cause the monitor
257:   to be used during the `TS` integration.

259: .seealso: [](ch_ts), `TSMonitorSet()`
260: @*/
261: PetscErrorCode TSMonitorWallClockTimeSetUp(TS ts, PetscViewerAndFormat *vf)
262: {
263:   TSMonitorWallClockTimeContext speed;

265:   PetscFunctionBegin;
266:   PetscCall(PetscNew(&speed));
267:   speed->time_start = PETSC_DECIDE;
268:   vf->data_destroy  = PetscCtxDestroyDefault;
269:   vf->data          = speed;
270:   PetscFunctionReturn(PETSC_SUCCESS);
271: }

273: /*@C
274:   TSMonitorWallClockTime - Monitor wall-clock time, KSP iterations, and SNES iterations per step.

276:   Input Parameters:
277: + ts    - the `TS` context
278: . step  - 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)
279: . ptime - current time
280: . v     - current solution
281: - vf    - the viewer and format

283:   Options Database Key:
284: . -ts_monitor_wall_clock_time - Monitor wall-clock time, KSP iterations, and SNES iterations per step.

286:   Level: intermediate

288:   Note:
289:   This is not called directly by users, rather one calls `TSMonitorSetFromOptions()`, with this function and `TSMonitorWallClockTimeSetUp()` as arguments, to cause the monitor
290:   to be used during the `TS` integration.

292: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorDefault()`, `TSMonitorExtreme()`, `TSMonitorDrawSolution()`,
293:           `TSMonitorDrawSolutionPhase()`, `TSMonitorDrawSolutionFunction()`, `TSMonitorDrawError()`, `TSMonitorSolution()`, `TSMonitorSolutionVTK()`,
294:           `TSMonitorLGSolution()`, `TSMonitorLGError()`, `TSMonitorSPSwarmSolution()`, `TSMonitorError()`, `TSMonitorEnvelope()`, `TSDMSwarmMonitorMoments()`
295: @*/
296: PetscErrorCode TSMonitorWallClockTime(TS ts, PetscInt step, PetscReal ptime, Vec v, PetscViewerAndFormat *vf)
297: {
298:   PetscViewer                   viewer = vf->viewer;
299:   TSMonitorWallClockTimeContext speed  = (TSMonitorWallClockTimeContext)vf->data;
300:   PetscBool                     isascii;
301:   PetscLogDouble                now;
302:   PetscInt                      snes_its, ksp_its;

304:   PetscFunctionBegin;
306:   PetscCall(PetscTime(&now));
307:   if (speed->time_start == PETSC_DECIDE) {
308:     speed->time_start = now;
309:     speed->time_last  = now;
310:   }
311:   PetscCall(TSGetSNESIterations(ts, &snes_its));
312:   PetscCall(TSGetKSPIterations(ts, &ksp_its));
313:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
314:   PetscCall(PetscViewerPushFormat(viewer, vf->format));
315:   if (isascii) {
316:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)ts)->tablevel));
317:     PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " TS dt %g time %g%s elapsed %.6f of %.6f snes %" PetscInt_FMT " ksp %" PetscInt_FMT "\n", step, (double)ts->time_step, (double)ptime, ts->steprollback ? " (r)" : "", now - speed->time_last,
318:                                      now - speed->time_start, snes_its - speed->snes_its, ksp_its - speed->ksp_its));
319:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)ts)->tablevel));
320:   }
321:   PetscCall(PetscViewerPopFormat(viewer));
322:   speed->time_last = now;
323:   speed->snes_its  = snes_its;
324:   speed->ksp_its   = ksp_its;
325:   PetscFunctionReturn(PETSC_SUCCESS);
326: }

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

331:   Input Parameters:
332: + ts    - the `TS` context
333: . step  - 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)
334: . ptime - current time
335: . v     - current iterate
336: - vf    - the viewer and format

338:   Level: intermediate

340:   Note:
341:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
342:   to be used during the `TS` integration.

344: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`
345: @*/
346: PetscErrorCode TSMonitorExtreme(TS ts, PetscInt step, PetscReal ptime, Vec v, PetscViewerAndFormat *vf)
347: {
348:   PetscViewer viewer = vf->viewer;
349:   PetscBool   isascii;
350:   PetscReal   max, min;

352:   PetscFunctionBegin;
354:   PetscCall(PetscObjectTypeCompare((PetscObject)viewer, PETSCVIEWERASCII, &isascii));
355:   PetscCall(PetscViewerPushFormat(viewer, vf->format));
356:   if (isascii) {
357:     PetscCall(VecMax(v, NULL, &max));
358:     PetscCall(VecMin(v, NULL, &min));
359:     PetscCall(PetscViewerASCIIAddTab(viewer, ((PetscObject)ts)->tablevel));
360:     PetscCall(PetscViewerASCIIPrintf(viewer, "%" PetscInt_FMT " 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));
361:     PetscCall(PetscViewerASCIISubtractTab(viewer, ((PetscObject)ts)->tablevel));
362:   }
363:   PetscCall(PetscViewerPopFormat(viewer));
364:   PetscFunctionReturn(PETSC_SUCCESS);
365: }

367: /*@C
368:   TSMonitorLGCtxCreate - Creates a `TSMonitorLGCtx` context for use with
369:   `TS` to monitor the solution process graphically in various ways

371:   Collective

373:   Input Parameters:
374: + comm     - the MPI communicator to use
375: . host     - the X display to open, or `NULL` for the local machine
376: . label    - the title to put in the title bar
377: . x        - the x screen coordinates of the upper left coordinate of the window
378: . y        - the y screen coordinates of the upper left coordinate of the window
379: . m        - the screen width in pixels
380: . n        - the screen height in pixels
381: - howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time

383:   Output Parameter:
384: . ctx - the context

386:   Options Database Keys:
387: + -ts_monitor_lg_timestep        - automatically sets line graph monitor
388: . -ts_monitor_lg_timestep_log    - automatically sets line graph monitor
389: . -ts_monitor_lg_solution        - monitor the solution (or certain values of the solution by calling `TSMonitorLGSetDisplayVariables()` or `TSMonitorLGCtxSetDisplayVariables()`)
390: . -ts_monitor_lg_error           - monitor the error
391: . -ts_monitor_lg_ksp_iterations  - monitor the number of `KSP` iterations needed for each timestep
392: . -ts_monitor_lg_snes_iterations - monitor the number of `SNES` iterations needed for each timestep
393: - -lg_use_markers <true,false>   - mark the data points (at each time step) on the plot; default is true

395:   Level: intermediate

397:   Notes:
398:   Pass the context and `TSMonitorLGCtxDestroy()` to `TSMonitorSet()` to have the context destroyed when no longer needed.

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

402:   Many of the functions that control the monitoring have two forms\: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a `TS` object as the
403:   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
404:   as the first argument.

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

408: .seealso: [](ch_ts), `TSMonitorLGTimeStep()`, `TSMonitorSet()`, `TSMonitorLGSolution()`, `TSMonitorLGError()`, `TSMonitorDefault()`, `VecView()`,
409:           `TSMonitorLGCtxSetVariableNames()`, `TSMonitorLGCtxGetVariableNames()`,
410:           `TSMonitorLGSetVariableNames()`, `TSMonitorLGGetVariableNames()`, `TSMonitorLGSetDisplayVariables()`, `TSMonitorLGCtxSetDisplayVariables()`,
411:           `TSMonitorLGCtxSetTransform()`, `TSMonitorLGSetTransform()`, `TSMonitorLGSNESIterations()`, `TSMonitorLGKSPIterations()`,
412:           `TSMonitorEnvelopeCtxCreate()`, `TSMonitorEnvelopeGetBounds()`, `TSMonitorEnvelopeCtxDestroy()`, `TSMonitorEnvelop()`
413: @*/
414: PetscErrorCode TSMonitorLGCtxCreate(MPI_Comm comm, const char host[], const char label[], int x, int y, int m, int n, PetscInt howoften, TSMonitorLGCtx *ctx)
415: {
416:   PetscDraw draw;

418:   PetscFunctionBegin;
419:   PetscCall(PetscNew(ctx));
420:   PetscCall(PetscDrawCreate(comm, host, label, x, y, m, n, &draw));
421:   PetscCall(PetscDrawSetFromOptions(draw));
422:   PetscCall(PetscDrawLGCreate(draw, 1, &(*ctx)->lg));
423:   PetscCall(PetscDrawLGSetFromOptions((*ctx)->lg));
424:   PetscCall(PetscDrawDestroy(&draw));
425:   (*ctx)->howoften = howoften;
426:   PetscFunctionReturn(PETSC_SUCCESS);
427: }

429: /*@C
430:   TSMonitorLGTimeStep - Monitors a `TS` by printing the time-steps

432:   Collective

434:   Input Parameters:
435: + ts     - the time integrator
436: . step   - the current time step
437: . ptime  - the current time
438: . v      - the current state
439: - monctx - the monitor context obtained with `TSMonitorLGCtxCreate()`

441:   Level: advanced

443:   Note:
444:   This is not called directly by users, rather one calls `TSMonitorSet()` along the `ctx` created by `TSMonitorLGCtxCreate()`
445:   and `TSMonitorLGCtxDestroy()`

447: .seealso: [](ch_ts), `TS`, `TSMonitorLGCtxCreate()`, `TSMonitorSet()`, `TSMonitorLGCtxDestroy()`
448: @*/
449: PetscErrorCode TSMonitorLGTimeStep(TS ts, PetscInt step, PetscReal ptime, Vec v, PetscCtx monctx)
450: {
451:   TSMonitorLGCtx ctx = (TSMonitorLGCtx)monctx;
452:   PetscReal      x   = ptime, y;

454:   PetscFunctionBegin;
455:   if (step < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates an interpolated solution */
456:   if (!step) {
457:     PetscDrawAxis axis;
458:     const char   *ylabel = ctx->semilogy ? "Log Time Step" : "Time Step";
459:     PetscCall(PetscDrawLGGetAxis(ctx->lg, &axis));
460:     PetscCall(PetscDrawAxisSetLabels(axis, "Timestep as function of time", "Time", ylabel));
461:     PetscCall(PetscDrawLGReset(ctx->lg));
462:   }
463:   PetscCall(TSGetTimeStep(ts, &y));
464:   if (ctx->semilogy) y = PetscLog10Real(y);
465:   PetscCall(PetscDrawLGAddPoint(ctx->lg, &x, &y));
466:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
467:     PetscCall(PetscDrawLGDraw(ctx->lg));
468:     PetscCall(PetscDrawLGSave(ctx->lg));
469:   }
470:   PetscFunctionReturn(PETSC_SUCCESS);
471: }

473: /*@C
474:   TSMonitorLGCtxDestroy - Destroys a line graph context that was created with `TSMonitorLGCtxCreate()`.

476:   Collective

478:   Input Parameter:
479: . ctx - the monitor context

481:   Level: intermediate

483:   Note:
484:   Pass to `TSMonitorSet()` along with the context and `TSMonitorLGTimeStep()`

486: .seealso: [](ch_ts), `TS`, `TSMonitorLGCtxCreate()`, `TSMonitorSet()`, `TSMonitorLGTimeStep()`
487: @*/
488: PetscErrorCode TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
489: {
490:   PetscFunctionBegin;
491:   if ((*ctx)->transformdestroy) PetscCall(((*ctx)->transformdestroy)(&(*ctx)->transformctx));
492:   PetscCall(PetscDrawLGDestroy(&(*ctx)->lg));
493:   PetscCall(PetscStrArrayDestroy(&(*ctx)->names));
494:   PetscCall(PetscStrArrayDestroy(&(*ctx)->displaynames));
495:   PetscCall(PetscFree((*ctx)->displayvariables));
496:   PetscCall(PetscFree((*ctx)->displayvalues));
497:   PetscCall(PetscFree(*ctx));
498:   PetscFunctionReturn(PETSC_SUCCESS);
499: }

501: /* Creates a TSMonitorSPCtx for use with DMSwarm particle visualizations */
502: 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, PetscBool multispecies, TSMonitorSPCtx *ctx)
503: {
504:   PetscDraw draw;

506:   PetscFunctionBegin;
507:   PetscCall(PetscNew(ctx));
508:   PetscCall(PetscDrawCreate(comm, host, label, x, y, m, n, &draw));
509:   PetscCall(PetscDrawSetFromOptions(draw));
510:   PetscCall(PetscDrawSPCreate(draw, 1, &(*ctx)->sp));
511:   PetscCall(PetscDrawDestroy(&draw));
512:   (*ctx)->howoften     = howoften;
513:   (*ctx)->retain       = retain;
514:   (*ctx)->phase        = phase;
515:   (*ctx)->multispecies = multispecies;
516:   PetscFunctionReturn(PETSC_SUCCESS);
517: }

519: /* Destroys a TSMonitorSPCtx that was created with TSMonitorSPCtxCreate */
520: PetscErrorCode TSMonitorSPCtxDestroy(TSMonitorSPCtx *ctx)
521: {
522:   PetscFunctionBegin;
523:   PetscCall(PetscDrawSPDestroy(&(*ctx)->sp));
524:   PetscCall(PetscFree(*ctx));
525:   PetscFunctionReturn(PETSC_SUCCESS);
526: }

528: /* Creates a TSMonitorHGCtx for use with DMSwarm particle visualizations */
529: PetscErrorCode TSMonitorHGCtxCreate(MPI_Comm comm, const char host[], const char label[], int x, int y, int m, int n, PetscInt howoften, PetscInt Ns, PetscInt Nb, PetscBool velocity, TSMonitorHGCtx *ctx)
530: {
531:   PetscDraw draw;
532:   int       Nsi, Nbi;

534:   PetscFunctionBegin;
535:   PetscCall(PetscMPIIntCast(Ns, &Nsi));
536:   PetscCall(PetscMPIIntCast(Nb, &Nbi));
537:   PetscCall(PetscNew(ctx));
538:   PetscCall(PetscMalloc1(Ns, &(*ctx)->hg));
539:   for (int s = 0; s < Nsi; ++s) {
540:     PetscCall(PetscDrawCreate(comm, host, label, x + s * m, y, m, n, &draw));
541:     PetscCall(PetscDrawSetFromOptions(draw));
542:     PetscCall(PetscDrawHGCreate(draw, Nbi, &(*ctx)->hg[s]));
543:     PetscCall(PetscDrawHGCalcStats((*ctx)->hg[s], PETSC_TRUE));
544:     PetscCall(PetscDrawDestroy(&draw));
545:   }
546:   (*ctx)->howoften = howoften;
547:   (*ctx)->Ns       = Ns;
548:   (*ctx)->velocity = velocity;
549:   PetscFunctionReturn(PETSC_SUCCESS);
550: }

552: /* Destroys a TSMonitorHGCtx that was created with TSMonitorHGCtxCreate */
553: PetscErrorCode TSMonitorHGCtxDestroy(TSMonitorHGCtx *ctx)
554: {
555:   PetscInt s;

557:   PetscFunctionBegin;
558:   for (s = 0; s < (*ctx)->Ns; ++s) PetscCall(PetscDrawHGDestroy(&(*ctx)->hg[s]));
559:   PetscCall(PetscFree((*ctx)->hg));
560:   PetscCall(PetscFree(*ctx));
561:   PetscFunctionReturn(PETSC_SUCCESS);
562: }

564: /*@C
565:   TSMonitorDrawSolution - Monitors progress of the `TS` solvers by calling
566:   `VecView()` for the solution at each timestep

568:   Collective

570:   Input Parameters:
571: + ts    - the `TS` context
572: . step  - current time-step
573: . ptime - current time
574: . u     - the solution at the current time
575: - ctx   - either a viewer or `NULL`

577:   Options Database Keys:
578: + -ts_monitor_draw_solution         - draw the solution at each time-step
579: - -ts_monitor_draw_solution_initial - show initial solution as well as current solution

581:   Level: intermediate

583:   Notes:
584:   The initial solution and current solution are not displayed with a common axis scaling so generally the option `-ts_monitor_draw_solution_initial`
585:   will look bad

587:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, as well as the context created with
588:   `TSMonitorDrawCtxCreate()` and the function `TSMonitorDrawCtxDestroy()` to cause the monitor to be used during the `TS` integration.

590: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorDrawCtxCreate()`, `TSMonitorDrawCtxDestroy()`
591: @*/
592: PetscErrorCode TSMonitorDrawSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx ctx)
593: {
594:   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)ctx;
595:   PetscDraw        draw;

597:   PetscFunctionBegin;
598:   if (!step && ictx->showinitial) {
599:     if (!ictx->initialsolution) PetscCall(VecDuplicate(u, &ictx->initialsolution));
600:     PetscCall(VecCopy(u, ictx->initialsolution));
601:   }
602:   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(PETSC_SUCCESS);

604:   if (ictx->showinitial) {
605:     PetscReal pause;
606:     PetscCall(PetscViewerDrawGetPause(ictx->viewer, &pause));
607:     PetscCall(PetscViewerDrawSetPause(ictx->viewer, 0.0));
608:     PetscCall(VecView(ictx->initialsolution, ictx->viewer));
609:     PetscCall(PetscViewerDrawSetPause(ictx->viewer, pause));
610:     PetscCall(PetscViewerDrawSetHold(ictx->viewer, PETSC_TRUE));
611:   }
612:   PetscCall(VecView(u, ictx->viewer));
613:   if (ictx->showtimestepandtime) {
614:     PetscReal xl, yl, xr, yr, h;
615:     char      time[32];

617:     PetscCall(PetscViewerDrawGetDraw(ictx->viewer, 0, &draw));
618:     PetscCall(PetscSNPrintf(time, 32, "Timestep %" PetscInt_FMT " Time %g", step, (double)ptime));
619:     PetscCall(PetscDrawGetCoordinates(draw, &xl, &yl, &xr, &yr));
620:     h = yl + .95 * (yr - yl);
621:     PetscCall(PetscDrawStringCentered(draw, .5 * (xl + xr), h, PETSC_DRAW_BLACK, time));
622:     PetscCall(PetscDrawFlush(draw));
623:   }

625:   if (ictx->showinitial) PetscCall(PetscViewerDrawSetHold(ictx->viewer, PETSC_FALSE));
626:   PetscFunctionReturn(PETSC_SUCCESS);
627: }

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

632:   Collective

634:   Input Parameters:
635: + ts    - the `TS` context
636: . step  - current time-step
637: . ptime - current time
638: . u     - the solution at the current time
639: - ctx   - either a viewer or `NULL`

641:   Level: intermediate

643:   Notes:
644:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
645:   to be used during the `TS` integration.

647: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`
648: @*/
649: PetscErrorCode TSMonitorDrawSolutionPhase(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx ctx)
650: {
651:   TSMonitorDrawCtx   ictx = (TSMonitorDrawCtx)ctx;
652:   PetscDraw          draw;
653:   PetscDrawAxis      axis;
654:   PetscInt           n;
655:   PetscMPIInt        size;
656:   PetscReal          U0, U1, xl, yl, xr, yr, h;
657:   char               time[32];
658:   const PetscScalar *U;

660:   PetscFunctionBegin;
661:   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)ts), &size));
662:   PetscCheck(size == 1, PetscObjectComm((PetscObject)ts), PETSC_ERR_SUP, "Only allowed for sequential runs");
663:   PetscCall(VecGetSize(u, &n));
664:   PetscCheck(n == 2, PetscObjectComm((PetscObject)ts), PETSC_ERR_SUP, "Only for ODEs with two unknowns");

666:   PetscCall(PetscViewerDrawGetDraw(ictx->viewer, 0, &draw));
667:   PetscCall(PetscViewerDrawGetDrawAxis(ictx->viewer, 0, &axis));
668:   PetscCall(PetscDrawAxisGetLimits(axis, &xl, &xr, &yl, &yr));
669:   if (!step) {
670:     PetscCall(PetscDrawClear(draw));
671:     PetscCall(PetscDrawAxisDraw(axis));
672:   }

674:   PetscCall(VecGetArrayRead(u, &U));
675:   U0 = PetscRealPart(U[0]);
676:   U1 = PetscRealPart(U[1]);
677:   PetscCall(VecRestoreArrayRead(u, &U));
678:   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(PETSC_SUCCESS);

680:   PetscDrawCollectiveBegin(draw);
681:   PetscCall(PetscDrawPoint(draw, U0, U1, PETSC_DRAW_BLACK));
682:   if (ictx->showtimestepandtime) {
683:     PetscCall(PetscDrawGetCoordinates(draw, &xl, &yl, &xr, &yr));
684:     PetscCall(PetscSNPrintf(time, 32, "Timestep %" PetscInt_FMT " Time %g", step, (double)ptime));
685:     h = yl + .95 * (yr - yl);
686:     PetscCall(PetscDrawStringCentered(draw, .5 * (xl + xr), h, PETSC_DRAW_BLACK, time));
687:   }
688:   PetscDrawCollectiveEnd(draw);
689:   PetscCall(PetscDrawFlush(draw));
690:   PetscCall(PetscDrawPause(draw));
691:   PetscCall(PetscDrawSave(draw));
692:   PetscFunctionReturn(PETSC_SUCCESS);
693: }

695: /*@C
696:   TSMonitorDrawCtxDestroy - Destroys the monitor context for `TSMonitorDrawSolution()`

698:   Collective

700:   Input Parameter:
701: . ictx - the monitor context

703:   Level: intermediate

705: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorDrawSolution()`, `TSMonitorDrawError()`, `TSMonitorDrawCtx`
706: @*/
707: PetscErrorCode TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
708: {
709:   PetscFunctionBegin;
710:   PetscCall(PetscViewerDestroy(&(*ictx)->viewer));
711:   PetscCall(VecDestroy(&(*ictx)->initialsolution));
712:   PetscCall(PetscFree(*ictx));
713:   PetscFunctionReturn(PETSC_SUCCESS);
714: }

716: /*@C
717:   TSMonitorDrawCtxCreate - Creates the monitor context for `TSMonitorDrawCtx`

719:   Collective

721:   Input Parameters:
722: + comm     - the MPI communicator to use
723: . host     - the X display to open, or `NULL` for the local machine
724: . label    - the title to put in the title bar
725: . x        - the x screen coordinates of the upper left coordinate of the window
726: . y        - the y screen coordinates of the upper left coordinate of the window
727: . m        - the screen width in pixels
728: . n        - the screen height in pixels
729: - howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time

731:   Output Parameter:
732: . ctx - the monitor context

734:   Options Database Keys:
735: + -ts_monitor_draw_solution         - draw the solution at each time-step
736: - -ts_monitor_draw_solution_initial - show initial solution as well as current solution

738:   Level: intermediate

740:   Note:
741:   The context created by this function, `PetscMonitorDrawSolution()`, and `TSMonitorDrawCtxDestroy()` should be passed together to `TSMonitorSet()`.

743: .seealso: [](ch_ts), `TS`, `TSMonitorDrawCtxDestroy()`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorDrawCtx`, `PetscMonitorDrawSolution()`
744: @*/
745: PetscErrorCode TSMonitorDrawCtxCreate(MPI_Comm comm, const char host[], const char label[], int x, int y, int m, int n, PetscInt howoften, TSMonitorDrawCtx *ctx)
746: {
747:   PetscFunctionBegin;
748:   PetscCall(PetscNew(ctx));
749:   PetscCall(PetscViewerDrawOpen(comm, host, label, x, y, m, n, &(*ctx)->viewer));
750:   PetscCall(PetscViewerSetFromOptions((*ctx)->viewer));

752:   (*ctx)->howoften    = howoften;
753:   (*ctx)->showinitial = PETSC_FALSE;
754:   PetscCall(PetscOptionsGetBool(NULL, NULL, "-ts_monitor_draw_solution_initial", &(*ctx)->showinitial, NULL));

756:   (*ctx)->showtimestepandtime = PETSC_FALSE;
757:   PetscCall(PetscOptionsGetBool(NULL, NULL, "-ts_monitor_draw_solution_show_time", &(*ctx)->showtimestepandtime, NULL));
758:   PetscFunctionReturn(PETSC_SUCCESS);
759: }

761: /*@C
762:   TSMonitorDrawSolutionFunction - Monitors progress of the `TS` solvers by calling
763:   `VecView()` for the solution provided by `TSSetSolutionFunction()` at each timestep

765:   Collective

767:   Input Parameters:
768: + ts    - the `TS` context
769: . step  - current time-step
770: . ptime - current time
771: . u     - solution at current time
772: - Ctx   - either a viewer or `NULL`

774:   Options Database Key:
775: . -ts_monitor_draw_solution_function - Monitor error graphically, requires user to have provided `TSSetSolutionFunction()`

777:   Level: intermediate

779:   Note:
780:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
781:   to be used during the `TS` integration.

783: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSSetSolutionFunction()`
784: @*/
785: PetscErrorCode TSMonitorDrawSolutionFunction(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx Ctx)
786: {
787:   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)Ctx;
788:   PetscViewer      viewer = ctx->viewer;
789:   Vec              work;

791:   PetscFunctionBegin;
792:   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(PETSC_SUCCESS);
793:   PetscCall(VecDuplicate(u, &work));
794:   PetscCall(TSComputeSolutionFunction(ts, ptime, work));
795:   PetscCall(VecView(work, viewer));
796:   PetscCall(VecDestroy(&work));
797:   PetscFunctionReturn(PETSC_SUCCESS);
798: }

800: /*@C
801:   TSMonitorDrawError - Monitors progress of the `TS` solvers by calling
802:   `VecView()` for the error at each timestep

804:   Collective

806:   Input Parameters:
807: + ts    - the `TS` context
808: . step  - current time-step
809: . ptime - current time
810: . u     - solution at current time
811: - Ctx   - either a viewer or `NULL`

813:   Options Database Key:
814: . -ts_monitor_draw_error - Monitor error graphically, requires user to have provided `TSSetSolutionFunction()`

816:   Level: intermediate

818:   Notes:
819:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
820:   to be used during the `TS` integration.

822: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSSetSolutionFunction()`
823: @*/
824: PetscErrorCode TSMonitorDrawError(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx Ctx)
825: {
826:   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)Ctx;
827:   PetscViewer      viewer = ctx->viewer;
828:   Vec              work;

830:   PetscFunctionBegin;
831:   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(PETSC_SUCCESS);
832:   PetscCall(VecDuplicate(u, &work));
833:   PetscCall(TSComputeSolutionFunction(ts, ptime, work));
834:   PetscCall(VecAXPY(work, -1.0, u));
835:   PetscCall(VecView(work, viewer));
836:   PetscCall(VecDestroy(&work));
837:   PetscFunctionReturn(PETSC_SUCCESS);
838: }

840: /*@C
841:   TSMonitorSolutionSetup - Setups the context for `TSMonitorSolution()`

843:   Collective

845:   Input Parameters:
846: + ts - the `TS` context
847: - vf - viewer and its format

849:   Level: intermediate

851: .seealso: [](ch_ts), `TS`, `TSMonitorSolution()`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorSetFromOptions()`
852: @*/
853: PetscErrorCode TSMonitorSolutionSetup(TS ts, PetscViewerAndFormat *vf)
854: {
855:   TSMonitorSolutionCtx ctx;

857:   PetscFunctionBegin;
858:   PetscCall(PetscNew(&ctx));
859:   PetscCall(PetscOptionsGetBool(((PetscObject)ts)->options, ((PetscObject)ts)->prefix, "-ts_monitor_solution_skip_initial", &ctx->skip_initial, NULL));
860:   vf->data         = ctx;
861:   vf->data_destroy = PetscCtxDestroyDefault;
862:   PetscFunctionReturn(PETSC_SUCCESS);
863: }

865: /*@C
866:   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

868:   Collective

870:   Input Parameters:
871: + ts    - the `TS` context
872: . step  - current time-step
873: . ptime - current time
874: . u     - current state
875: - vf    - viewer and its format

877:   Level: intermediate

879:   Notes:
880:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
881:   to be used during the `TS` integration.

883: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorSolutionSetup()`,
884: @*/
885: PetscErrorCode TSMonitorSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscViewerAndFormat *vf)
886: {
887:   TSMonitorSolutionCtx ctx = (TSMonitorSolutionCtx)vf->data;

889:   PetscFunctionBegin;
890:   if (ctx->skip_initial && step == ts->start_step) PetscFunctionReturn(PETSC_SUCCESS);
891:   if ((vf->view_interval > 0 && !(step % vf->view_interval)) || (vf->view_interval && ts->reason)) {
892:     PetscCall(PetscViewerPushFormat(vf->viewer, vf->format));
893:     PetscCall(VecView(u, vf->viewer));
894:     PetscCall(PetscViewerPopFormat(vf->viewer));
895:   }
896:   PetscFunctionReturn(PETSC_SUCCESS);
897: }

899: /*@C
900:   TSMonitorSolutionVTK - Monitors progress of the `TS` solvers by `VecView()` for the solution at selected timesteps.

902:   Collective

904:   Input Parameters:
905: + ts    - the `TS` context
906: . step  - current time-step
907: . ptime - current time
908: . u     - current state
909: - ctx   - monitor context obtained with `TSMonitorSolutionVTKCtxCreate()`

911:   Level: developer

913:   Notes:
914:   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.
915:   These are named according to the file name template.

917:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
918:   to be used during the `TS` integration.

920: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`
921: @*/
922: PetscErrorCode TSMonitorSolutionVTK(TS ts, PetscInt step, PetscReal ptime, Vec u, TSMonitorVTKCtx ctx)
923: {
924:   char        filename[PETSC_MAX_PATH_LEN];
925:   PetscViewer viewer;

927:   PetscFunctionBegin;
928:   if (step < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
929:   if (((ctx->interval > 0) && (!(step % ctx->interval))) || (ctx->interval && ts->reason)) {
930:     PetscCall(PetscSNPrintf(filename, sizeof(filename), (const char *)ctx->filenametemplate, step));
931:     PetscCall(PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts), filename, FILE_MODE_WRITE, &viewer));
932:     PetscCall(VecView(u, viewer));
933:     PetscCall(PetscViewerDestroy(&viewer));
934:   }
935:   PetscFunctionReturn(PETSC_SUCCESS);
936: }

938: /*@C
939:   TSMonitorSolutionVTKDestroy - Destroy the monitor context created with `TSMonitorSolutionVTKCtxCreate()`

941:   Not Collective

943:   Input Parameter:
944: . ctx - the monitor context

946:   Level: developer

948:   Note:
949:   This function is normally passed to `TSMonitorSet()` along with `TSMonitorSolutionVTK()`.

951: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorSolutionVTK()`
952: @*/
953: PetscErrorCode TSMonitorSolutionVTKDestroy(TSMonitorVTKCtx *ctx)
954: {
955:   PetscFunctionBegin;
956:   PetscCall(PetscFree((*ctx)->filenametemplate));
957:   PetscCall(PetscFree(*ctx));
958:   PetscFunctionReturn(PETSC_SUCCESS);
959: }

961: /*@C
962:   TSMonitorSolutionVTKCtxCreate - Create the monitor context to be used in `TSMonitorSolutionVTK()`

964:   Not collective

966:   Input Parameter:
967: . filenametemplate - the template file name, e.g. foo-%03d.vts

969:   Output Parameter:
970: . ctx - the monitor context

972:   Level: developer

974:   Note:
975:   This function is normally used inside `TSSetFromOptions()` to pass the context created to `TSMonitorSet()` along with `TSMonitorSolutionVTK()`.

977: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorSolutionVTK()`, `TSMonitorSolutionVTKDestroy()`
978: @*/
979: PetscErrorCode TSMonitorSolutionVTKCtxCreate(const char *filenametemplate, TSMonitorVTKCtx *ctx)
980: {
981:   const char     *ptr = NULL, *ptr2 = NULL;
982:   TSMonitorVTKCtx ictx;

984:   PetscFunctionBegin;
985:   PetscAssertPointer(filenametemplate, 1);
986:   PetscAssertPointer(ctx, 2);
987:   /* Do some cursory validation of the input. */
988:   PetscCall(PetscStrstr(filenametemplate, "%", (char **)&ptr));
989:   PetscCheck(ptr, PETSC_COMM_SELF, PETSC_ERR_USER, "-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03" PetscInt_FMT ".vts");
990:   for (ptr++; ptr && *ptr; ptr++) {
991:     PetscCall(PetscStrchr("DdiouxX", *ptr, (char **)&ptr2));
992:     PetscCheck(ptr2 || (*ptr >= '0' && *ptr <= '9'), PETSC_COMM_SELF, PETSC_ERR_USER, "Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03" PetscInt_FMT ".vts");
993:     if (ptr2) break;
994:   }
995:   PetscCall(PetscNew(&ictx));
996:   PetscCall(PetscStrallocpy(filenametemplate, &ictx->filenametemplate));
997:   ictx->interval = 1;

999:   *ctx = ictx;
1000:   PetscFunctionReturn(PETSC_SUCCESS);
1001: }

1003: /*@C
1004:   TSMonitorLGSolution - Monitors progress of the `TS` solvers by plotting each component of the solution vector
1005:   in a time based line graph

1007:   Collective

1009:   Input Parameters:
1010: + ts    - the `TS` context
1011: . step  - current time-step
1012: . ptime - current time
1013: . u     - current solution
1014: - dctx  - the `TSMonitorLGCtx` object that contains all the options for the monitoring, this is created with `TSMonitorLGCtxCreate()`

1016:   Options Database Key:
1017: . -ts_monitor_lg_solution_variables - enable monitor of lg solution variables

1019:   Level: intermediate

1021:   Notes:
1022:   Each process in a parallel run displays its component solutions in a separate window

1024:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1025:   to be used during the `TS` integration.

1027: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGCtxCreate()`, `TSMonitorLGCtxSetVariableNames()`, `TSMonitorLGCtxGetVariableNames()`,
1028:           `TSMonitorLGSetVariableNames()`, `TSMonitorLGGetVariableNames()`, `TSMonitorLGSetDisplayVariables()`, `TSMonitorLGCtxSetDisplayVariables()`,
1029:           `TSMonitorLGCtxSetTransform()`, `TSMonitorLGSetTransform()`, `TSMonitorLGError()`, `TSMonitorLGSNESIterations()`, `TSMonitorLGKSPIterations()`,
1030:           `TSMonitorEnvelopeCtxCreate()`, `TSMonitorEnvelopeGetBounds()`, `TSMonitorEnvelopeCtxDestroy()`, `TSMonitorEnvelop()`
1031: @*/
1032: PetscErrorCode TSMonitorLGSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, void *dctx)
1033: {
1034:   TSMonitorLGCtx     ctx = (TSMonitorLGCtx)dctx;
1035:   const PetscScalar *yy;
1036:   Vec                v;

1038:   PetscFunctionBegin;
1039:   if (step < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
1040:   if (!step) {
1041:     PetscDrawAxis axis;
1042:     PetscInt      dim;
1043:     PetscCall(PetscDrawLGGetAxis(ctx->lg, &axis));
1044:     PetscCall(PetscDrawAxisSetLabels(axis, "Solution as function of time", "Time", "Solution"));
1045:     if (!ctx->names) {
1046:       PetscBool flg;
1047:       /* user provides names of variables to plot but no names has been set so assume names are integer values */
1048:       PetscCall(PetscOptionsHasName(((PetscObject)ts)->options, ((PetscObject)ts)->prefix, "-ts_monitor_lg_solution_variables", &flg));
1049:       if (flg) {
1050:         PetscInt i, n;
1051:         char   **names;
1052:         PetscCall(VecGetSize(u, &n));
1053:         PetscCall(PetscMalloc1(n + 1, &names));
1054:         for (i = 0; i < n; i++) {
1055:           PetscCall(PetscMalloc1(5, &names[i]));
1056:           PetscCall(PetscSNPrintf(names[i], 5, "%" PetscInt_FMT, i));
1057:         }
1058:         names[n]   = NULL;
1059:         ctx->names = names;
1060:       }
1061:     }
1062:     if (ctx->names && !ctx->displaynames) {
1063:       char    **displaynames;
1064:       PetscBool flg;
1065:       PetscCall(VecGetLocalSize(u, &dim));
1066:       PetscCall(PetscCalloc1(dim + 1, &displaynames));
1067:       PetscCall(PetscOptionsGetStringArray(((PetscObject)ts)->options, ((PetscObject)ts)->prefix, "-ts_monitor_lg_solution_variables", displaynames, &dim, &flg));
1068:       if (flg) PetscCall(TSMonitorLGCtxSetDisplayVariables(ctx, (const char *const *)displaynames));
1069:       PetscCall(PetscStrArrayDestroy(&displaynames));
1070:     }
1071:     if (ctx->displaynames) {
1072:       PetscCall(PetscDrawLGSetDimension(ctx->lg, ctx->ndisplayvariables));
1073:       PetscCall(PetscDrawLGSetLegend(ctx->lg, (const char *const *)ctx->displaynames));
1074:     } else if (ctx->names) {
1075:       PetscCall(VecGetLocalSize(u, &dim));
1076:       PetscCall(PetscDrawLGSetDimension(ctx->lg, dim));
1077:       PetscCall(PetscDrawLGSetLegend(ctx->lg, (const char *const *)ctx->names));
1078:     } else {
1079:       PetscCall(VecGetLocalSize(u, &dim));
1080:       PetscCall(PetscDrawLGSetDimension(ctx->lg, dim));
1081:     }
1082:     PetscCall(PetscDrawLGReset(ctx->lg));
1083:   }

1085:   if (!ctx->transform) v = u;
1086:   else PetscCall((*ctx->transform)(ctx->transformctx, u, &v));
1087:   PetscCall(VecGetArrayRead(v, &yy));
1088:   if (ctx->displaynames) {
1089:     PetscInt i;
1090:     for (i = 0; i < ctx->ndisplayvariables; i++) ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
1091:     PetscCall(PetscDrawLGAddCommonPoint(ctx->lg, ptime, ctx->displayvalues));
1092:   } else {
1093: #if defined(PETSC_USE_COMPLEX)
1094:     PetscInt   i, n;
1095:     PetscReal *yreal;
1096:     PetscCall(VecGetLocalSize(v, &n));
1097:     PetscCall(PetscMalloc1(n, &yreal));
1098:     for (i = 0; i < n; i++) yreal[i] = PetscRealPart(yy[i]);
1099:     PetscCall(PetscDrawLGAddCommonPoint(ctx->lg, ptime, yreal));
1100:     PetscCall(PetscFree(yreal));
1101: #else
1102:     PetscCall(PetscDrawLGAddCommonPoint(ctx->lg, ptime, yy));
1103: #endif
1104:   }
1105:   PetscCall(VecRestoreArrayRead(v, &yy));
1106:   if (ctx->transform) PetscCall(VecDestroy(&v));

1108:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
1109:     PetscCall(PetscDrawLGDraw(ctx->lg));
1110:     PetscCall(PetscDrawLGSave(ctx->lg));
1111:   }
1112:   PetscFunctionReturn(PETSC_SUCCESS);
1113: }

1115: /*@C
1116:   TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot

1118:   Collective

1120:   Input Parameters:
1121: + ts    - the `TS` context
1122: - names - the names of the components, final string must be `NULL`

1124:   Level: intermediate

1126:   Notes:
1127:   If the `TS` object does not have a `TSMonitorLGCtx` associated with it then this function is ignored

1129: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetDisplayVariables()`, `TSMonitorLGCtxSetVariableNames()`
1130: @*/
1131: PetscErrorCode TSMonitorLGSetVariableNames(TS ts, const char *const *names)
1132: {
1133:   PetscInt i;

1135:   PetscFunctionBegin;
1136:   for (i = 0; i < ts->numbermonitors; i++) {
1137:     if (ts->monitor[i] == TSMonitorLGSolution) {
1138:       PetscCall(TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i], names));
1139:       break;
1140:     }
1141:   }
1142:   PetscFunctionReturn(PETSC_SUCCESS);
1143: }

1145: /*@C
1146:   TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot

1148:   Collective

1150:   Input Parameters:
1151: + ctx   - the `TS` context
1152: - names - the names of the components, final string must be `NULL`

1154:   Level: intermediate

1156: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetDisplayVariables()`, `TSMonitorLGSetVariableNames()`
1157: @*/
1158: PetscErrorCode TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx, const char *const *names)
1159: {
1160:   PetscFunctionBegin;
1161:   PetscCall(PetscStrArrayDestroy(&ctx->names));
1162:   PetscCall(PetscStrArrayallocpy(names, &ctx->names));
1163:   PetscFunctionReturn(PETSC_SUCCESS);
1164: }

1166: /*@C
1167:   TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot

1169:   Collective

1171:   Input Parameter:
1172: . ts - the `TS` context

1174:   Output Parameter:
1175: . names - the names of the components, final string must be `NULL`

1177:   Level: intermediate

1179:   Note:
1180:   If the `TS` object does not have a `TSMonitorLGCtx` associated with it then this function is ignored

1182: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetDisplayVariables()`
1183: @*/
1184: PetscErrorCode TSMonitorLGGetVariableNames(TS ts, const char *const **names)
1185: {
1186:   PetscInt i;

1188:   PetscFunctionBegin;
1189:   *names = NULL;
1190:   for (i = 0; i < ts->numbermonitors; i++) {
1191:     if (ts->monitor[i] == TSMonitorLGSolution) {
1192:       TSMonitorLGCtx ctx = (TSMonitorLGCtx)ts->monitorcontext[i];
1193:       *names             = (const char *const *)ctx->names;
1194:       break;
1195:     }
1196:   }
1197:   PetscFunctionReturn(PETSC_SUCCESS);
1198: }

1200: /*@C
1201:   TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor

1203:   Collective

1205:   Input Parameters:
1206: + ctx          - the `TSMonitorLG` context
1207: - displaynames - the names of the components, final string must be `NULL`

1209:   Level: intermediate

1211: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetVariableNames()`
1212: @*/
1213: PetscErrorCode TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx, const char *const *displaynames)
1214: {
1215:   PetscInt j = 0, k;

1217:   PetscFunctionBegin;
1218:   if (!ctx->names) PetscFunctionReturn(PETSC_SUCCESS);
1219:   PetscCall(PetscStrArrayDestroy(&ctx->displaynames));
1220:   PetscCall(PetscStrArrayallocpy(displaynames, &ctx->displaynames));
1221:   while (displaynames[j]) j++;
1222:   ctx->ndisplayvariables = j;
1223:   PetscCall(PetscMalloc1(ctx->ndisplayvariables, &ctx->displayvariables));
1224:   PetscCall(PetscMalloc1(ctx->ndisplayvariables, &ctx->displayvalues));
1225:   j = 0;
1226:   while (displaynames[j]) {
1227:     k = 0;
1228:     while (ctx->names[k]) {
1229:       PetscBool flg;
1230:       PetscCall(PetscStrcmp(displaynames[j], ctx->names[k], &flg));
1231:       if (flg) {
1232:         ctx->displayvariables[j] = k;
1233:         break;
1234:       }
1235:       k++;
1236:     }
1237:     j++;
1238:   }
1239:   PetscFunctionReturn(PETSC_SUCCESS);
1240: }

1242: /*@C
1243:   TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor

1245:   Collective

1247:   Input Parameters:
1248: + ts           - the `TS` context
1249: - displaynames - the names of the components, final string must be `NULL`

1251:   Level: intermediate

1253:   Note:
1254:   If the `TS` object does not have a `TSMonitorLGCtx` associated with it then this function is ignored

1256: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetVariableNames()`
1257: @*/
1258: PetscErrorCode TSMonitorLGSetDisplayVariables(TS ts, const char *const *displaynames)
1259: {
1260:   PetscInt i;

1262:   PetscFunctionBegin;
1263:   for (i = 0; i < ts->numbermonitors; i++) {
1264:     if (ts->monitor[i] == TSMonitorLGSolution) {
1265:       PetscCall(TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i], displaynames));
1266:       break;
1267:     }
1268:   }
1269:   PetscFunctionReturn(PETSC_SUCCESS);
1270: }

1272: /*@C
1273:   TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed

1275:   Collective

1277:   Input Parameters:
1278: + ts        - the `TS` context
1279: . transform - the transform function
1280: . destroy   - function to destroy the optional context, see `PetscCtxDestroyFn` for its calling sequence
1281: - tctx      - optional context used by transform function

1283:   Calling sequence of `transform`:
1284: + tctx - context used by the transform function
1285: . u    - the input solution vector
1286: - w    - the output transformed vector

1288:   Level: intermediate

1290:   Note:
1291:   If the `TS` object does not have a `TSMonitorLGCtx` associated with it then this function is ignored

1293: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorLGCtxSetTransform()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetVariableNames()`, `PetscCtxDestroyFn`
1294: @*/
1295: PetscErrorCode TSMonitorLGSetTransform(TS ts, PetscErrorCode (*transform)(PetscCtx tctx, Vec u, Vec *w), PetscCtxDestroyFn *destroy, PetscCtx tctx)
1296: {
1297:   PetscInt i;

1299:   PetscFunctionBegin;
1300:   for (i = 0; i < ts->numbermonitors; i++) {
1301:     if (ts->monitor[i] == TSMonitorLGSolution) PetscCall(TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i], transform, destroy, tctx));
1302:   }
1303:   PetscFunctionReturn(PETSC_SUCCESS);
1304: }

1306: /*@C
1307:   TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed

1309:   Collective

1311:   Input Parameters:
1312: + tctx      - the `TS` context
1313: . transform - the transform function
1314: . destroy   - function to destroy the optional context, see `PetscCtxDestroyFn` for its calling sequence
1315: - ctx       - optional context used by transform function

1317:   Calling sequence of `transform`:
1318: + tctx - context used by the transform function
1319: . u    - the input solution vector
1320: - w    - the output transformed vector

1322:   Level: intermediate

1324: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetVariableNames()`, `TSMonitorLGSetTransform()`, `PetscCtxDestroyFn`
1325: @*/
1326: PetscErrorCode TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx, PetscErrorCode (*transform)(PetscCtx tctx, Vec u, Vec *w), PetscCtxDestroyFn *destroy, PetscCtx tctx)
1327: {
1328:   PetscFunctionBegin;
1329:   ctx->transform        = transform;
1330:   ctx->transformdestroy = destroy;
1331:   ctx->transformctx     = tctx;
1332:   PetscFunctionReturn(PETSC_SUCCESS);
1333: }

1335: /*@C
1336:   TSMonitorLGError - Monitors progress of the `TS` solvers by plotting each component of the error
1337:   in a time based line graph

1339:   Collective

1341:   Input Parameters:
1342: + ts    - the `TS` context
1343: . step  - current time-step
1344: . ptime - current time
1345: . u     - current solution
1346: - Ctx   - `TSMonitorLGCtx` object created with `TSMonitorLGCtxCreate()`

1348:   Options Database Key:
1349: . -ts_monitor_lg_error - create a graphical monitor of error history

1351:   Level: intermediate

1353:   Notes:
1354:   Each process in a parallel run displays its component errors in a separate window

1356:   The user must provide the solution using `TSSetSolutionFunction()` to use this monitor.

1358:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1359:   to be used during the TS integration.

1361: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSSetSolutionFunction()`
1362: @*/
1363: PetscErrorCode TSMonitorLGError(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx Ctx)
1364: {
1365:   TSMonitorLGCtx     ctx = (TSMonitorLGCtx)Ctx;
1366:   const PetscScalar *yy;
1367:   Vec                y;

1369:   PetscFunctionBegin;
1370:   if (!step) {
1371:     PetscDrawAxis axis;
1372:     PetscInt      dim;
1373:     PetscCall(PetscDrawLGGetAxis(ctx->lg, &axis));
1374:     PetscCall(PetscDrawAxisSetLabels(axis, "Error in solution as function of time", "Time", "Error"));
1375:     PetscCall(VecGetLocalSize(u, &dim));
1376:     PetscCall(PetscDrawLGSetDimension(ctx->lg, dim));
1377:     PetscCall(PetscDrawLGReset(ctx->lg));
1378:   }
1379:   PetscCall(VecDuplicate(u, &y));
1380:   PetscCall(TSComputeSolutionFunction(ts, ptime, y));
1381:   PetscCall(VecAXPY(y, -1.0, u));
1382:   PetscCall(VecGetArrayRead(y, &yy));
1383: #if defined(PETSC_USE_COMPLEX)
1384:   {
1385:     PetscReal *yreal;
1386:     PetscInt   i, n;
1387:     PetscCall(VecGetLocalSize(y, &n));
1388:     PetscCall(PetscMalloc1(n, &yreal));
1389:     for (i = 0; i < n; i++) yreal[i] = PetscRealPart(yy[i]);
1390:     PetscCall(PetscDrawLGAddCommonPoint(ctx->lg, ptime, yreal));
1391:     PetscCall(PetscFree(yreal));
1392:   }
1393: #else
1394:   PetscCall(PetscDrawLGAddCommonPoint(ctx->lg, ptime, yy));
1395: #endif
1396:   PetscCall(VecRestoreArrayRead(y, &yy));
1397:   PetscCall(VecDestroy(&y));
1398:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
1399:     PetscCall(PetscDrawLGDraw(ctx->lg));
1400:     PetscCall(PetscDrawLGSave(ctx->lg));
1401:   }
1402:   PetscFunctionReturn(PETSC_SUCCESS);
1403: }

1405: /*@C
1406:   TSMonitorSPSwarmSolution - Graphically displays phase plots of `DMSWARM` particles on a scatter plot

1408:   Input Parameters:
1409: + ts    - the `TS` context
1410: . step  - current time-step
1411: . ptime - current time
1412: . u     - current solution
1413: - dctx  - the `TSMonitorSPCtx` object that contains all the options for the monitoring, this is created with `TSMonitorSPCtxCreate()`

1415:   Options Database Keys:
1416: + -ts_monitor_sp_swarm <n>                  - Monitor the solution every n steps, or -1 for plotting only the final solution
1417: . -ts_monitor_sp_swarm_retain <n>           - Retain n old points so we can see the history, or -1 for all points
1418: . -ts_monitor_sp_swarm_multi_species <bool> - Color each species differently
1419: - -ts_monitor_sp_swarm_phase <bool>         - Plot in phase space, as opposed to coordinate space

1421:   Level: intermediate

1423:   Notes:
1424:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1425:   to be used during the `TS` integration.

1427: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `DMSWARM`, `TSMonitorSPCtxCreate()`
1428: @*/
1429: PetscErrorCode TSMonitorSPSwarmSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx dctx)
1430: {
1431:   TSMonitorSPCtx     ctx = (TSMonitorSPCtx)dctx;
1432:   PetscDraw          draw;
1433:   DM                 dm, cdm;
1434:   const PetscScalar *yy;
1435:   PetscInt           Np, p, dim = 2, *species;
1436:   PetscReal          species_color;

1438:   PetscFunctionBegin;
1439:   if (step < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
1440:   PetscCall(TSGetDM(ts, &dm));
1441:   if (!step) {
1442:     PetscDrawAxis axis;
1443:     PetscReal     dmboxlower[2], dmboxupper[2];

1445:     PetscCall(TSGetDM(ts, &dm));
1446:     PetscCall(DMGetDimension(dm, &dim));
1447:     PetscCheck(dim == 2, PETSC_COMM_SELF, PETSC_ERR_SUP, "Monitor only supports two dimensional fields");
1448:     PetscCall(DMSwarmGetCellDM(dm, &cdm));
1449:     PetscCall(DMGetBoundingBox(cdm, dmboxlower, dmboxupper));
1450:     PetscCall(VecGetLocalSize(u, &Np));
1451:     Np /= dim * 2;
1452:     PetscCall(PetscDrawSPGetAxis(ctx->sp, &axis));
1453:     if (ctx->phase) {
1454:       PetscCall(PetscDrawAxisSetLabels(axis, "Particles", "X", "V"));
1455:       PetscCall(PetscDrawAxisSetLimits(axis, dmboxlower[0], dmboxupper[0], -10, 10));
1456:     } else {
1457:       PetscCall(PetscDrawAxisSetLabels(axis, "Particles", "X", "Y"));
1458:       PetscCall(PetscDrawAxisSetLimits(axis, dmboxlower[0], dmboxupper[0], dmboxlower[1], dmboxupper[1]));
1459:     }
1460:     PetscCall(PetscDrawAxisSetHoldLimits(axis, PETSC_TRUE));
1461:     PetscCall(PetscDrawSPReset(ctx->sp));
1462:   }
1463:   if (ctx->multispecies) PetscCall(DMSwarmGetField(dm, "species", NULL, NULL, (void **)&species));
1464:   PetscCall(VecGetLocalSize(u, &Np));
1465:   Np /= dim * 2;
1466:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
1467:     PetscCall(PetscDrawSPGetDraw(ctx->sp, &draw));
1468:     if ((ctx->retain == 0) || (ctx->retain > 0 && !(step % ctx->retain))) PetscCall(PetscDrawClear(draw));
1469:     PetscCall(PetscDrawFlush(draw));
1470:     PetscCall(PetscDrawSPReset(ctx->sp));
1471:     PetscCall(VecGetArrayRead(u, &yy));
1472:     for (p = 0; p < Np; ++p) {
1473:       PetscReal x, y;

1475:       if (ctx->phase) {
1476:         x = PetscRealPart(yy[p * dim * 2]);
1477:         y = PetscRealPart(yy[p * dim * 2 + dim]);
1478:       } else {
1479:         x = PetscRealPart(yy[p * dim * 2]);
1480:         y = PetscRealPart(yy[p * dim * 2 + 1]);
1481:       }
1482:       if (ctx->multispecies) {
1483:         species_color = species[p] + 2;
1484:         PetscCall(PetscDrawSPAddPointColorized(ctx->sp, &x, &y, &species_color));
1485:       } else {
1486:         PetscCall(PetscDrawSPAddPoint(ctx->sp, &x, &y));
1487:       }
1488:       PetscCall(PetscDrawSPAddPoint(ctx->sp, &x, &y));
1489:     }
1490:     PetscCall(VecRestoreArrayRead(u, &yy));
1491:     PetscCall(PetscDrawSPDraw(ctx->sp, PETSC_FALSE));
1492:     PetscCall(PetscDrawSPSave(ctx->sp));
1493:     if (ctx->multispecies) PetscCall(DMSwarmRestoreField(dm, "species", NULL, NULL, (void **)&species));
1494:   }
1495:   PetscFunctionReturn(PETSC_SUCCESS);
1496: }

1498: /*@C
1499:   TSMonitorHGSwarmSolution - Graphically displays histograms of `DMSWARM` particles

1501:   Input Parameters:
1502: + ts    - the `TS` context
1503: . step  - current time-step
1504: . ptime - current time
1505: . u     - current solution
1506: - dctx  - the `TSMonitorSPCtx` object that contains all the options for the monitoring, this is created with `TSMonitorHGCtxCreate()`

1508:   Options Database Keys:
1509: + -ts_monitor_hg_swarm <n>             - Monitor the solution every n steps, or -1 for plotting only the final solution
1510: . -ts_monitor_hg_swarm_species <num>   - Number of species to histogram
1511: . -ts_monitor_hg_swarm_bins <num>      - Number of histogram bins
1512: - -ts_monitor_hg_swarm_velocity <bool> - Plot in velocity space, as opposed to coordinate space

1514:   Level: intermediate

1516:   Note:
1517:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1518:   to be used during the `TS` integration.

1520: .seealso: `TSMonitorSet()`
1521: @*/
1522: PetscErrorCode TSMonitorHGSwarmSolution(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx dctx)
1523: {
1524:   TSMonitorHGCtx     ctx = (TSMonitorHGCtx)dctx;
1525:   PetscDraw          draw;
1526:   DM                 sw;
1527:   const PetscScalar *yy;
1528:   PetscInt          *species;
1529:   PetscInt           dim, d = 0, Np, p, Ns, s;

1531:   PetscFunctionBegin;
1532:   if (step < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
1533:   PetscCall(TSGetDM(ts, &sw));
1534:   PetscCall(DMGetDimension(sw, &dim));
1535:   PetscCall(DMSwarmGetNumSpecies(sw, &Ns));
1536:   Ns = PetscMin(Ns, ctx->Ns);
1537:   PetscCall(VecGetLocalSize(u, &Np));
1538:   Np /= dim * 2;
1539:   if (!step) {
1540:     PetscDrawAxis axis;
1541:     char          title[PETSC_MAX_PATH_LEN];

1543:     for (s = 0; s < Ns; ++s) {
1544:       PetscCall(PetscDrawHGGetAxis(ctx->hg[s], &axis));
1545:       PetscCall(PetscSNPrintf(title, PETSC_MAX_PATH_LEN, "Species %" PetscInt_FMT, s));
1546:       if (ctx->velocity) PetscCall(PetscDrawAxisSetLabels(axis, title, "V", "N"));
1547:       else PetscCall(PetscDrawAxisSetLabels(axis, title, "X", "N"));
1548:     }
1549:   }
1550:   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
1551:     PetscCall(DMSwarmGetField(sw, "species", NULL, NULL, (void **)&species));
1552:     for (s = 0; s < Ns; ++s) {
1553:       PetscCall(PetscDrawHGReset(ctx->hg[s]));
1554:       PetscCall(PetscDrawHGGetDraw(ctx->hg[s], &draw));
1555:       PetscCall(PetscDrawClear(draw));
1556:       PetscCall(PetscDrawFlush(draw));
1557:     }
1558:     PetscCall(VecGetArrayRead(u, &yy));
1559:     for (p = 0; p < Np; ++p) {
1560:       const PetscInt s = species[p] < Ns ? species[p] : 0;
1561:       PetscReal      v;

1563:       if (ctx->velocity) v = PetscRealPart(yy[p * dim * 2 + d + dim]);
1564:       else v = PetscRealPart(yy[p * dim * 2 + d]);
1565:       PetscCall(PetscDrawHGAddValue(ctx->hg[s], v));
1566:     }
1567:     PetscCall(VecRestoreArrayRead(u, &yy));
1568:     for (s = 0; s < Ns; ++s) {
1569:       PetscCall(PetscDrawHGDraw(ctx->hg[s]));
1570:       PetscCall(PetscDrawHGSave(ctx->hg[s]));
1571:     }
1572:     PetscCall(DMSwarmRestoreField(sw, "species", NULL, NULL, (void **)&species));
1573:   }
1574:   PetscFunctionReturn(PETSC_SUCCESS);
1575: }

1577: /*@C
1578:   TSMonitorError - Monitors progress of the `TS` solvers by printing the 2 norm of the error at each timestep

1580:   Collective

1582:   Input Parameters:
1583: + ts    - the `TS` context
1584: . step  - current time-step
1585: . ptime - current time
1586: . u     - current solution
1587: - vf    - unused context

1589:   Options Database Key:
1590: . -ts_monitor_error - create a graphical monitor of error history

1592:   Level: intermediate

1594:   Notes:
1595:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1596:   to be used during the `TS` integration.

1598:   The user must provide the solution using `TSSetSolutionFunction()` to use this monitor.

1600: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSSetSolutionFunction()`
1601: @*/
1602: PetscErrorCode TSMonitorError(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscViewerAndFormat *vf)
1603: {
1604:   DM        dm;
1605:   PetscDS   ds = NULL;
1606:   PetscInt  Nf = -1, f;
1607:   PetscBool flg;

1609:   PetscFunctionBegin;
1610:   PetscCall(TSGetDM(ts, &dm));
1611:   if (dm) PetscCall(DMGetDS(dm, &ds));
1612:   if (ds) PetscCall(PetscDSGetNumFields(ds, &Nf));
1613:   if (Nf <= 0) {
1614:     Vec       y;
1615:     PetscReal nrm;

1617:     PetscCall(VecDuplicate(u, &y));
1618:     PetscCall(TSComputeSolutionFunction(ts, ptime, y));
1619:     PetscCall(VecAXPY(y, -1.0, u));
1620:     PetscCall(PetscObjectTypeCompare((PetscObject)vf->viewer, PETSCVIEWERASCII, &flg));
1621:     if (flg) {
1622:       PetscCall(VecNorm(y, NORM_2, &nrm));
1623:       PetscCall(PetscViewerASCIIPrintf(vf->viewer, "2-norm of error %g\n", (double)nrm));
1624:     }
1625:     PetscCall(PetscObjectTypeCompare((PetscObject)vf->viewer, PETSCVIEWERDRAW, &flg));
1626:     if (flg) PetscCall(VecView(y, vf->viewer));
1627:     PetscCall(VecDestroy(&y));
1628:   } else {
1629:     PetscErrorCode (**exactFuncs)(PetscInt dim, PetscReal time, const PetscReal x[], PetscInt Nf, PetscScalar *u, PetscCtx ctx);
1630:     void    **ctxs;
1631:     Vec       v;
1632:     PetscReal ferrors[1];

1634:     PetscCall(PetscMalloc2(Nf, &exactFuncs, Nf, &ctxs));
1635:     for (f = 0; f < Nf; ++f) PetscCall(PetscDSGetExactSolution(ds, f, &exactFuncs[f], &ctxs[f]));
1636:     PetscCall(DMComputeL2FieldDiff(dm, ptime, exactFuncs, ctxs, u, ferrors));
1637:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "Timestep: %04" PetscInt_FMT " time = %-8.4g \t L_2 Error: [", step, (double)ptime));
1638:     for (f = 0; f < Nf; ++f) {
1639:       if (f > 0) PetscCall(PetscPrintf(PETSC_COMM_WORLD, ", "));
1640:       PetscCall(PetscPrintf(PETSC_COMM_WORLD, "%2.3g", (double)ferrors[f]));
1641:     }
1642:     PetscCall(PetscPrintf(PETSC_COMM_WORLD, "]\n"));

1644:     PetscCall(VecViewFromOptions(u, NULL, "-sol_vec_view"));

1646:     PetscCall(PetscOptionsHasName(NULL, NULL, "-exact_vec_view", &flg));
1647:     if (flg) {
1648:       PetscCall(DMGetGlobalVector(dm, &v));
1649:       PetscCall(DMProjectFunction(dm, ptime, exactFuncs, ctxs, INSERT_ALL_VALUES, v));
1650:       PetscCall(PetscObjectSetName((PetscObject)v, "Exact Solution"));
1651:       PetscCall(VecViewFromOptions(v, NULL, "-exact_vec_view"));
1652:       PetscCall(DMRestoreGlobalVector(dm, &v));
1653:     }
1654:     PetscCall(PetscFree2(exactFuncs, ctxs));
1655:   }
1656:   PetscFunctionReturn(PETSC_SUCCESS);
1657: }

1659: PetscErrorCode TSMonitorLGSNESIterations(TS ts, PetscInt n, PetscReal ptime, Vec v, PetscCtx monctx)
1660: {
1661:   TSMonitorLGCtx ctx = (TSMonitorLGCtx)monctx;
1662:   PetscReal      x   = ptime, y;
1663:   PetscInt       its;

1665:   PetscFunctionBegin;
1666:   if (n < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
1667:   if (!n) {
1668:     PetscDrawAxis axis;
1669:     PetscCall(PetscDrawLGGetAxis(ctx->lg, &axis));
1670:     PetscCall(PetscDrawAxisSetLabels(axis, "Nonlinear iterations as function of time", "Time", "SNES Iterations"));
1671:     PetscCall(PetscDrawLGReset(ctx->lg));
1672:     ctx->snes_its = 0;
1673:   }
1674:   PetscCall(TSGetSNESIterations(ts, &its));
1675:   y = its - ctx->snes_its;
1676:   PetscCall(PetscDrawLGAddPoint(ctx->lg, &x, &y));
1677:   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
1678:     PetscCall(PetscDrawLGDraw(ctx->lg));
1679:     PetscCall(PetscDrawLGSave(ctx->lg));
1680:   }
1681:   ctx->snes_its = its;
1682:   PetscFunctionReturn(PETSC_SUCCESS);
1683: }

1685: PetscErrorCode TSMonitorLGKSPIterations(TS ts, PetscInt n, PetscReal ptime, Vec v, PetscCtx monctx)
1686: {
1687:   TSMonitorLGCtx ctx = (TSMonitorLGCtx)monctx;
1688:   PetscReal      x   = ptime, y;
1689:   PetscInt       its;

1691:   PetscFunctionBegin;
1692:   if (n < 0) PetscFunctionReturn(PETSC_SUCCESS); /* -1 indicates interpolated solution */
1693:   if (!n) {
1694:     PetscDrawAxis axis;
1695:     PetscCall(PetscDrawLGGetAxis(ctx->lg, &axis));
1696:     PetscCall(PetscDrawAxisSetLabels(axis, "Linear iterations as function of time", "Time", "KSP Iterations"));
1697:     PetscCall(PetscDrawLGReset(ctx->lg));
1698:     ctx->ksp_its = 0;
1699:   }
1700:   PetscCall(TSGetKSPIterations(ts, &its));
1701:   y = its - ctx->ksp_its;
1702:   PetscCall(PetscDrawLGAddPoint(ctx->lg, &x, &y));
1703:   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
1704:     PetscCall(PetscDrawLGDraw(ctx->lg));
1705:     PetscCall(PetscDrawLGSave(ctx->lg));
1706:   }
1707:   ctx->ksp_its = its;
1708:   PetscFunctionReturn(PETSC_SUCCESS);
1709: }

1711: /*@C
1712:   TSMonitorEnvelopeCtxCreate - Creates a context for use with `TSMonitorEnvelope()`

1714:   Collective

1716:   Input Parameter:
1717: . ts - the `TS` solver object

1719:   Output Parameter:
1720: . ctx - the context

1722:   Level: intermediate

1724: .seealso: [](ch_ts), `TS`, `TSMonitorLGTimeStep()`, `TSMonitorSet()`, `TSMonitorLGSolution()`, `TSMonitorLGError()`
1725: @*/
1726: PetscErrorCode TSMonitorEnvelopeCtxCreate(TS ts, TSMonitorEnvelopeCtx *ctx)
1727: {
1728:   PetscFunctionBegin;
1729:   PetscCall(PetscNew(ctx));
1730:   PetscFunctionReturn(PETSC_SUCCESS);
1731: }

1733: /*@C
1734:   TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution

1736:   Collective

1738:   Input Parameters:
1739: + ts    - the `TS` context
1740: . step  - current time-step
1741: . ptime - current time
1742: . u     - current solution
1743: - dctx  - the envelope context

1745:   Options Database Key:
1746: . -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time

1748:   Level: intermediate

1750:   Notes:
1751:   After a solve you can use `TSMonitorEnvelopeGetBounds()` to access the envelope

1753:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1754:   to be used during the `TS` integration.

1756: .seealso: [](ch_ts), `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorEnvelopeGetBounds()`, `TSMonitorEnvelopeCtxCreate()`
1757: @*/
1758: PetscErrorCode TSMonitorEnvelope(TS ts, PetscInt step, PetscReal ptime, Vec u, PetscCtx dctx)
1759: {
1760:   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;

1762:   PetscFunctionBegin;
1763:   if (!ctx->max) {
1764:     PetscCall(VecDuplicate(u, &ctx->max));
1765:     PetscCall(VecDuplicate(u, &ctx->min));
1766:     PetscCall(VecCopy(u, ctx->max));
1767:     PetscCall(VecCopy(u, ctx->min));
1768:   } else {
1769:     PetscCall(VecPointwiseMax(ctx->max, u, ctx->max));
1770:     PetscCall(VecPointwiseMin(ctx->min, u, ctx->min));
1771:   }
1772:   PetscFunctionReturn(PETSC_SUCCESS);
1773: }

1775: /*@C
1776:   TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution

1778:   Collective

1780:   Input Parameter:
1781: . ts - the `TS` context

1783:   Output Parameters:
1784: + max - the maximum values
1785: - min - the minimum values

1787:   Level: intermediate

1789:   Notes:
1790:   If the `TS` does not have a `TSMonitorEnvelopeCtx` associated with it then this function is ignored

1792: .seealso: [](ch_ts), `TSMonitorEnvelopeCtx`, `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `VecView()`, `TSMonitorLGSetDisplayVariables()`
1793: @*/
1794: PetscErrorCode TSMonitorEnvelopeGetBounds(TS ts, Vec *max, Vec *min)
1795: {
1796:   PetscInt i;

1798:   PetscFunctionBegin;
1799:   if (max) *max = NULL;
1800:   if (min) *min = NULL;
1801:   for (i = 0; i < ts->numbermonitors; i++) {
1802:     if (ts->monitor[i] == TSMonitorEnvelope) {
1803:       TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)ts->monitorcontext[i];
1804:       if (max) *max = ctx->max;
1805:       if (min) *min = ctx->min;
1806:       break;
1807:     }
1808:   }
1809:   PetscFunctionReturn(PETSC_SUCCESS);
1810: }

1812: /*@C
1813:   TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with `TSMonitorEnvelopeCtxCreate()`.

1815:   Collective

1817:   Input Parameter:
1818: . ctx - the monitor context

1820:   Level: intermediate

1822: .seealso: [](ch_ts), `TS`, `TSMonitorLGCtxCreate()`, `TSMonitorSet()`, `TSMonitorLGTimeStep()`
1823: @*/
1824: PetscErrorCode TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
1825: {
1826:   PetscFunctionBegin;
1827:   PetscCall(VecDestroy(&(*ctx)->min));
1828:   PetscCall(VecDestroy(&(*ctx)->max));
1829:   PetscCall(PetscFree(*ctx));
1830:   PetscFunctionReturn(PETSC_SUCCESS);
1831: }

1833: /*@C
1834:   TSDMSwarmMonitorMoments - Monitors the first three moments of a `DMSWARM` being evolved by the `TS`

1836:   Not Collective

1838:   Input Parameters:
1839: + ts   - the `TS` context
1840: . step - current timestep
1841: . t    - current time
1842: . U    - current solution
1843: - vf   - not used

1845:   Options Database Key:
1846: + -ts_dmswarm_monitor_moments          - Monitor moments of particle distribution
1847: - -ts_dmswarm_monitor_moments_interval - Interval of timesteps between monitor outputs

1849:   Level: intermediate

1851:   Notes:
1852:   This requires a `DMSWARM` be attached to the `TS`.

1854:   This is not called directly by users, rather one calls `TSMonitorSet()`, with this function as an argument, to cause the monitor
1855:   to be used during the TS integration.

1857: .seealso: [](ch_ts), `TS`, `TSMonitorSet()`, `TSMonitorDefault()`, `DMSWARM`
1858: @*/
1859: PetscErrorCode TSDMSwarmMonitorMoments(TS ts, PetscInt step, PetscReal t, Vec U, PetscViewerAndFormat *vf)
1860: {
1861:   DM                 sw;
1862:   const PetscScalar *u;
1863:   PetscReal          m = 1.0, totE = 0., totMom[3] = {0., 0., 0.};
1864:   PetscInt           dim, d, Np, p;
1865:   MPI_Comm           comm;

1867:   PetscFunctionBeginUser;
1868:   (void)t;
1869:   (void)vf;
1870:   PetscCall(TSGetDM(ts, &sw));
1871:   if (!sw || step % vf->view_interval != 0) PetscFunctionReturn(PETSC_SUCCESS);
1872:   PetscCall(PetscObjectGetComm((PetscObject)ts, &comm));
1873:   PetscCall(DMGetDimension(sw, &dim));
1874:   PetscCall(VecGetLocalSize(U, &Np));
1875:   Np /= dim;
1876:   PetscCall(VecGetArrayRead(U, &u));
1877:   for (p = 0; p < Np; ++p) {
1878:     for (d = 0; d < dim; ++d) {
1879:       totE += PetscRealPart(u[p * dim + d] * u[p * dim + d]);
1880:       totMom[d] += PetscRealPart(u[p * dim + d]);
1881:     }
1882:   }
1883:   PetscCall(VecRestoreArrayRead(U, &u));
1884:   for (d = 0; d < dim; ++d) totMom[d] *= m;
1885:   totE *= 0.5 * m;
1886:   PetscCall(PetscPrintf(comm, "Step %4" PetscInt_FMT " Total Energy: %10.8lf", step, (double)totE));
1887:   for (d = 0; d < dim; ++d) PetscCall(PetscPrintf(comm, "    Total Momentum %c: %10.8lf", (char)('x' + d), (double)totMom[d]));
1888:   PetscCall(PetscPrintf(comm, "\n"));
1889:   PetscFunctionReturn(PETSC_SUCCESS);
1890: }