xref: /petsc/src/ts/interface/ts.c (revision aaa7dc30da3270cff6cb10b1db605b2ca746f216)
1 
2 #include <petsc-private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 #undef __FUNCT__
15 #define __FUNCT__ "TSSetTypeFromOptions"
16 /*
17   TSSetTypeFromOptions - Sets the type of ts from user options.
18 
19   Collective on TS
20 
21   Input Parameter:
22 . ts - The ts
23 
24   Level: intermediate
25 
26 .keywords: TS, set, options, database, type
27 .seealso: TSSetFromOptions(), TSSetType()
28 */
29 static PetscErrorCode TSSetTypeFromOptions(TS ts)
30 {
31   PetscBool      opt;
32   const char     *defaultType;
33   char           typeName[256];
34   PetscErrorCode ierr;
35 
36   PetscFunctionBegin;
37   if (((PetscObject)ts)->type_name) defaultType = ((PetscObject)ts)->type_name;
38   else defaultType = TSEULER;
39 
40   if (!TSRegisterAllCalled) {ierr = TSRegisterAll();CHKERRQ(ierr);}
41   ierr = PetscOptionsFList("-ts_type", "TS method"," TSSetType", TSList, defaultType, typeName, 256, &opt);CHKERRQ(ierr);
42   if (opt) {
43     ierr = TSSetType(ts, typeName);CHKERRQ(ierr);
44   } else {
45     ierr = TSSetType(ts, defaultType);CHKERRQ(ierr);
46   }
47   PetscFunctionReturn(0);
48 }
49 
50 struct _n_TSMonitorDrawCtx {
51   PetscViewer   viewer;
52   PetscDrawAxis axis;
53   Vec           initialsolution;
54   PetscBool     showinitial;
55   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
56   PetscBool     showtimestepandtime;
57   int           color;
58 };
59 
60 #undef __FUNCT__
61 #define __FUNCT__ "TSSetFromOptions"
62 /*@
63    TSSetFromOptions - Sets various TS parameters from user options.
64 
65    Collective on TS
66 
67    Input Parameter:
68 .  ts - the TS context obtained from TSCreate()
69 
70    Options Database Keys:
71 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSGL, TSSSP
72 .  -ts_max_steps maxsteps - maximum number of time-steps to take
73 .  -ts_final_time time - maximum time to compute to
74 .  -ts_dt dt - initial time step
75 .  -ts_monitor - print information at each timestep
76 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
77 .  -ts_monitor_lg_solution - Monitor solution graphically
78 .  -ts_monitor_lg_error - Monitor error graphically
79 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
80 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
81 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
82 .  -ts_monitor_draw_solution - Monitor solution graphically
83 .  -ts_monitor_draw_solution_phase - Monitor solution graphically with phase diagram
84 .  -ts_monitor_draw_error - Monitor error graphically
85 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
86 -  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
87 
88    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
89 
90    Level: beginner
91 
92 .keywords: TS, timestep, set, options, database
93 
94 .seealso: TSGetType()
95 @*/
96 PetscErrorCode  TSSetFromOptions(TS ts)
97 {
98   PetscBool              opt,flg;
99   PetscErrorCode         ierr;
100   PetscViewer            monviewer;
101   char                   monfilename[PETSC_MAX_PATH_LEN];
102   SNES                   snes;
103   TSAdapt                adapt;
104   PetscReal              time_step;
105   TSExactFinalTimeOption eftopt;
106   char                   dir[16];
107 
108   PetscFunctionBegin;
109   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
110   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
111   /* Handle TS type options */
112   ierr = TSSetTypeFromOptions(ts);CHKERRQ(ierr);
113 
114   /* Handle generic TS options */
115   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
116   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
117   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
118   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
119   if (flg) {
120     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
121   }
122   ierr = PetscOptionsEnum("-ts_exact_final_time","Option for handling of final time step","TSSetExactFinalTime",TSExactFinalTimeOptions,(PetscEnum)ts->exact_final_time,(PetscEnum*)&eftopt,&flg);CHKERRQ(ierr);
123   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
124   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
125   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
126   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
127   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
128   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
129 
130 #if defined(PETSC_HAVE_SAWS)
131   {
132   PetscBool set;
133   flg  = PETSC_FALSE;
134   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
135   if (set) {
136     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
137   }
138   }
139 #endif
140 
141   /* Monitor options */
142   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
143   if (flg) {
144     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
145     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
146   }
147   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
148   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
149 
150   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
151   if (opt) {
152     TSMonitorLGCtx ctx;
153     PetscInt       howoften = 1;
154 
155     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
156     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
157     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
158   }
159   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
160   if (opt) {
161     TSMonitorLGCtx ctx;
162     PetscInt       howoften = 1;
163 
164     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
165     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
166     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
167   }
168   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
169   if (opt) {
170     TSMonitorLGCtx ctx;
171     PetscInt       howoften = 1;
172 
173     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
174     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
175     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
176   }
177   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
178   if (opt) {
179     TSMonitorLGCtx ctx;
180     PetscInt       howoften = 1;
181 
182     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
183     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
184     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
185   }
186   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
187   if (opt) {
188     TSMonitorLGCtx ctx;
189     PetscInt       howoften = 1;
190 
191     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
192     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
193     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
194   }
195   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
196   if (opt) {
197     TSMonitorSPEigCtx ctx;
198     PetscInt          howoften = 1;
199 
200     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
201     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
202     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
203   }
204   opt  = PETSC_FALSE;
205   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
206   if (opt) {
207     TSMonitorDrawCtx ctx;
208     PetscInt         howoften = 1;
209 
210     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
211     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
212     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
213   }
214   opt  = PETSC_FALSE;
215   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
216   if (opt) {
217     TSMonitorDrawCtx ctx;
218     PetscReal        bounds[4];
219     PetscInt         n = 4;
220     PetscDraw        draw;
221 
222     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
223     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
224     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
225     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
226     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
227     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
228     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
229     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
230     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
231     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
232     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
233   }
234   opt  = PETSC_FALSE;
235   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorDrawCtx ctx;
238     PetscInt         howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
243   }
244   opt  = PETSC_FALSE;
245   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
246   if (flg) {
247     PetscViewer ctx;
248     if (monfilename[0]) {
249       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
250       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
251     } else {
252       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
253       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
254     }
255   }
256   opt  = PETSC_FALSE;
257   ierr = PetscOptionsString("-ts_monitor_solution_vtk","Save each time step to a binary file, use filename-%%03D.vts","TSMonitorSolutionVTK",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
258   if (flg) {
259     const char *ptr,*ptr2;
260     char       *filetemplate;
261     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
262     /* Do some cursory validation of the input. */
263     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
264     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
265     for (ptr++; ptr && *ptr; ptr++) {
266       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
267       if (!ptr2 && (*ptr < '0' || '9' < *ptr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03D.vts");
268       if (ptr2) break;
269     }
270     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
271     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
272   }
273 
274   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
275   if (flg) {
276     TSMonitorDMDARayCtx *rayctx;
277     int                  ray = 0;
278     DMDADirection        ddir;
279     DM                   da;
280     PetscMPIInt          rank;
281 
282     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
283     if (dir[0] == 'x') ddir = DMDA_X;
284     else if (dir[0] == 'y') ddir = DMDA_Y;
285     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
286     sscanf(dir+2,"%d",&ray);
287 
288     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
289     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
290     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
291     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
292     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
293     if (!rank) {
294       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
295     }
296     rayctx->lgctx = NULL;
297     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
298   }
299   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
300   if (flg) {
301     TSMonitorDMDARayCtx *rayctx;
302     int                 ray = 0;
303     DMDADirection       ddir;
304     DM                  da;
305     PetscInt            howoften = 1;
306 
307     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
308     if      (dir[0] == 'x') ddir = DMDA_X;
309     else if (dir[0] == 'y') ddir = DMDA_Y;
310     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
311     sscanf(dir+2, "%d", &ray);
312 
313     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
314     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
315     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
316     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
317     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
318     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
319   }
320 
321   /*
322      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
323      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
324   */
325   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
326   ierr = TSAdaptSetFromOptions(adapt);CHKERRQ(ierr);
327 
328   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
329   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
330 
331   /* Handle specific TS options */
332   if (ts->ops->setfromoptions) {
333     ierr = (*ts->ops->setfromoptions)(ts);CHKERRQ(ierr);
334   }
335 
336   /* process any options handlers added with PetscObjectAddOptionsHandler() */
337   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
338   ierr = PetscOptionsEnd();CHKERRQ(ierr);
339   PetscFunctionReturn(0);
340 }
341 
342 #undef __FUNCT__
343 #undef __FUNCT__
344 #define __FUNCT__ "TSComputeRHSJacobian"
345 /*@
346    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
347       set with TSSetRHSJacobian().
348 
349    Collective on TS and Vec
350 
351    Input Parameters:
352 +  ts - the TS context
353 .  t - current timestep
354 -  U - input vector
355 
356    Output Parameters:
357 +  A - Jacobian matrix
358 .  B - optional preconditioning matrix
359 -  flag - flag indicating matrix structure
360 
361    Notes:
362    Most users should not need to explicitly call this routine, as it
363    is used internally within the nonlinear solvers.
364 
365    See KSPSetOperators() for important information about setting the
366    flag parameter.
367 
368    Level: developer
369 
370 .keywords: SNES, compute, Jacobian, matrix
371 
372 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
373 @*/
374 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg)
375 {
376   PetscErrorCode ierr;
377   PetscObjectState Ustate;
378   DM             dm;
379   DMTS           tsdm;
380   TSRHSJacobian  rhsjacobianfunc;
381   void           *ctx;
382   TSIJacobian    ijacobianfunc;
383 
384   PetscFunctionBegin;
385   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
386   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
387   PetscCheckSameComm(ts,1,U,3);
388   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
389   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
390   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
391   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
392   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
393   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
394     *flg = ts->rhsjacobian.mstructure;
395     PetscFunctionReturn(0);
396   }
397 
398   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
399 
400   if (ts->rhsjacobian.reuse) {
401     ierr = MatShift(*A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
402     ierr = MatScale(*A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
403     if (*A != *B) {
404       ierr = MatShift(*B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
405       ierr = MatScale(*B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
406     }
407     ts->rhsjacobian.shift = 0;
408     ts->rhsjacobian.scale = 1.;
409   }
410 
411   if (rhsjacobianfunc) {
412     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
413     *flg = DIFFERENT_NONZERO_PATTERN;
414     PetscStackPush("TS user Jacobian function");
415     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,flg,ctx);CHKERRQ(ierr);
416     PetscStackPop;
417     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
418     /* make sure user returned a correct Jacobian and preconditioner */
419     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
420     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
421   } else {
422     ierr = MatZeroEntries(*A);CHKERRQ(ierr);
423     if (*A != *B) {ierr = MatZeroEntries(*B);CHKERRQ(ierr);}
424     *flg = SAME_NONZERO_PATTERN;
425   }
426   ts->rhsjacobian.time       = t;
427   ts->rhsjacobian.X          = U;
428   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
429   ts->rhsjacobian.mstructure = *flg;
430   PetscFunctionReturn(0);
431 }
432 
433 #undef __FUNCT__
434 #define __FUNCT__ "TSComputeRHSFunction"
435 /*@
436    TSComputeRHSFunction - Evaluates the right-hand-side function.
437 
438    Collective on TS and Vec
439 
440    Input Parameters:
441 +  ts - the TS context
442 .  t - current time
443 -  U - state vector
444 
445    Output Parameter:
446 .  y - right hand side
447 
448    Note:
449    Most users should not need to explicitly call this routine, as it
450    is used internally within the nonlinear solvers.
451 
452    Level: developer
453 
454 .keywords: TS, compute
455 
456 .seealso: TSSetRHSFunction(), TSComputeIFunction()
457 @*/
458 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
459 {
460   PetscErrorCode ierr;
461   TSRHSFunction  rhsfunction;
462   TSIFunction    ifunction;
463   void           *ctx;
464   DM             dm;
465 
466   PetscFunctionBegin;
467   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
468   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
469   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
470   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
471   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
472   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
473 
474   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
475 
476   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
477   if (rhsfunction) {
478     PetscStackPush("TS user right-hand-side function");
479     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
480     PetscStackPop;
481   } else {
482     ierr = VecZeroEntries(y);CHKERRQ(ierr);
483   }
484 
485   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
486   PetscFunctionReturn(0);
487 }
488 
489 #undef __FUNCT__
490 #define __FUNCT__ "TSComputeSolutionFunction"
491 /*@
492    TSComputeSolutionFunction - Evaluates the solution function.
493 
494    Collective on TS and Vec
495 
496    Input Parameters:
497 +  ts - the TS context
498 -  t - current time
499 
500    Output Parameter:
501 .  U - the solution
502 
503    Note:
504    Most users should not need to explicitly call this routine, as it
505    is used internally within the nonlinear solvers.
506 
507    Level: developer
508 
509 .keywords: TS, compute
510 
511 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
512 @*/
513 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
514 {
515   PetscErrorCode     ierr;
516   TSSolutionFunction solutionfunction;
517   void               *ctx;
518   DM                 dm;
519 
520   PetscFunctionBegin;
521   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
522   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
523   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
524   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
525 
526   if (solutionfunction) {
527     PetscStackPush("TS user solution function");
528     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
529     PetscStackPop;
530   }
531   PetscFunctionReturn(0);
532 }
533 #undef __FUNCT__
534 #define __FUNCT__ "TSComputeForcingFunction"
535 /*@
536    TSComputeForcingFunction - Evaluates the forcing function.
537 
538    Collective on TS and Vec
539 
540    Input Parameters:
541 +  ts - the TS context
542 -  t - current time
543 
544    Output Parameter:
545 .  U - the function value
546 
547    Note:
548    Most users should not need to explicitly call this routine, as it
549    is used internally within the nonlinear solvers.
550 
551    Level: developer
552 
553 .keywords: TS, compute
554 
555 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
556 @*/
557 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
558 {
559   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
560   void               *ctx;
561   DM                 dm;
562 
563   PetscFunctionBegin;
564   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
565   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
566   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
567   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
568 
569   if (forcing) {
570     PetscStackPush("TS user forcing function");
571     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
572     PetscStackPop;
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSGetRHSVec_Private"
579 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
580 {
581   Vec            F;
582   PetscErrorCode ierr;
583 
584   PetscFunctionBegin;
585   *Frhs = NULL;
586   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
587   if (!ts->Frhs) {
588     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
589   }
590   *Frhs = ts->Frhs;
591   PetscFunctionReturn(0);
592 }
593 
594 #undef __FUNCT__
595 #define __FUNCT__ "TSGetRHSMats_Private"
596 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
597 {
598   Mat            A,B;
599   PetscErrorCode ierr;
600 
601   PetscFunctionBegin;
602   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
603   if (Arhs) {
604     if (!ts->Arhs) {
605       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
606     }
607     *Arhs = ts->Arhs;
608   }
609   if (Brhs) {
610     if (!ts->Brhs) {
611       if (A != B) {
612         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
613       } else {
614         ts->Brhs = ts->Arhs;
615         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
616       }
617     }
618     *Brhs = ts->Brhs;
619   }
620   PetscFunctionReturn(0);
621 }
622 
623 #undef __FUNCT__
624 #define __FUNCT__ "TSComputeIFunction"
625 /*@
626    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
627 
628    Collective on TS and Vec
629 
630    Input Parameters:
631 +  ts - the TS context
632 .  t - current time
633 .  U - state vector
634 .  Udot - time derivative of state vector
635 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
636 
637    Output Parameter:
638 .  Y - right hand side
639 
640    Note:
641    Most users should not need to explicitly call this routine, as it
642    is used internally within the nonlinear solvers.
643 
644    If the user did did not write their equations in implicit form, this
645    function recasts them in implicit form.
646 
647    Level: developer
648 
649 .keywords: TS, compute
650 
651 .seealso: TSSetIFunction(), TSComputeRHSFunction()
652 @*/
653 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
654 {
655   PetscErrorCode ierr;
656   TSIFunction    ifunction;
657   TSRHSFunction  rhsfunction;
658   void           *ctx;
659   DM             dm;
660 
661   PetscFunctionBegin;
662   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
663   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
664   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
665   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
666 
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
669   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
670 
671   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
672 
673   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
674   if (ifunction) {
675     PetscStackPush("TS user implicit function");
676     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
677     PetscStackPop;
678   }
679   if (imex) {
680     if (!ifunction) {
681       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
682     }
683   } else if (rhsfunction) {
684     if (ifunction) {
685       Vec Frhs;
686       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
687       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
688       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
689     } else {
690       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
691       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
692     }
693   }
694   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
695   PetscFunctionReturn(0);
696 }
697 
698 #undef __FUNCT__
699 #define __FUNCT__ "TSComputeIJacobian"
700 /*@
701    TSComputeIJacobian - Evaluates the Jacobian of the DAE
702 
703    Collective on TS and Vec
704 
705    Input
706       Input Parameters:
707 +  ts - the TS context
708 .  t - current timestep
709 .  U - state vector
710 .  Udot - time derivative of state vector
711 .  shift - shift to apply, see note below
712 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
713 
714    Output Parameters:
715 +  A - Jacobian matrix
716 .  B - optional preconditioning matrix
717 -  flag - flag indicating matrix structure
718 
719    Notes:
720    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
721 
722    dF/dU + shift*dF/dUdot
723 
724    Most users should not need to explicitly call this routine, as it
725    is used internally within the nonlinear solvers.
726 
727    Level: developer
728 
729 .keywords: TS, compute, Jacobian, matrix
730 
731 .seealso:  TSSetIJacobian()
732 @*/
733 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,PetscBool imex)
734 {
735   PetscErrorCode ierr;
736   TSIJacobian    ijacobian;
737   TSRHSJacobian  rhsjacobian;
738   DM             dm;
739   void           *ctx;
740 
741   PetscFunctionBegin;
742   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
743   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
744   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
745   PetscValidPointer(A,6);
746   PetscValidHeaderSpecific(*A,MAT_CLASSID,6);
747   PetscValidPointer(B,7);
748   PetscValidHeaderSpecific(*B,MAT_CLASSID,7);
749   PetscValidPointer(flg,8);
750 
751   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
752   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
753   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
754 
755   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
756 
757   *flg = SAME_NONZERO_PATTERN;  /* In case we're solving a linear problem in which case it wouldn't get initialized below. */
758   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
759   if (ijacobian) {
760     *flg = DIFFERENT_NONZERO_PATTERN;
761     PetscStackPush("TS user implicit Jacobian");
762     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,flg,ctx);CHKERRQ(ierr);
763     PetscStackPop;
764     /* make sure user returned a correct Jacobian and preconditioner */
765     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
766     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
767   }
768   if (imex) {
769     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
770       ierr = MatZeroEntries(*A);CHKERRQ(ierr);
771       ierr = MatShift(*A,shift);CHKERRQ(ierr);
772       if (*A != *B) {
773         ierr = MatZeroEntries(*B);CHKERRQ(ierr);
774         ierr = MatShift(*B,shift);CHKERRQ(ierr);
775       }
776       *flg = SAME_PRECONDITIONER;
777     }
778   } else {
779     Mat Arhs = NULL,Brhs = NULL;
780     MatStructure flg2;
781     if (rhsjacobian) {
782       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
783       ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
784     }
785     if (Arhs == *A) {           /* No IJacobian, so we only have the RHS matrix */
786       ts->rhsjacobian.scale = -1;
787       ts->rhsjacobian.shift = shift;
788       ierr = MatScale(*A,-1);CHKERRQ(ierr);
789       ierr = MatShift(*A,shift);CHKERRQ(ierr);
790       if (*A != *B) {
791         ierr = MatScale(*B,-1);CHKERRQ(ierr);
792         ierr = MatShift(*B,shift);CHKERRQ(ierr);
793       }
794     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
795       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
796       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
797         ierr = MatZeroEntries(*A);CHKERRQ(ierr);
798         ierr = MatShift(*A,shift);CHKERRQ(ierr);
799         if (*A != *B) {
800           ierr = MatZeroEntries(*B);CHKERRQ(ierr);
801           ierr = MatShift(*B,shift);CHKERRQ(ierr);
802         }
803       }
804       ierr = MatAXPY(*A,-1,Arhs,axpy);CHKERRQ(ierr);
805       if (*A != *B) {
806         ierr = MatAXPY(*B,-1,Brhs,axpy);CHKERRQ(ierr);
807       }
808       *flg = PetscMin(*flg,flg2);
809     }
810   }
811 
812   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
813   PetscFunctionReturn(0);
814 }
815 
816 #undef __FUNCT__
817 #define __FUNCT__ "TSSetRHSFunction"
818 /*@C
819     TSSetRHSFunction - Sets the routine for evaluating the function,
820     where U_t = G(t,u).
821 
822     Logically Collective on TS
823 
824     Input Parameters:
825 +   ts - the TS context obtained from TSCreate()
826 .   r - vector to put the computed right hand side (or NULL to have it created)
827 .   f - routine for evaluating the right-hand-side function
828 -   ctx - [optional] user-defined context for private data for the
829           function evaluation routine (may be NULL)
830 
831     Calling sequence of func:
832 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
833 
834 +   t - current timestep
835 .   u - input vector
836 .   F - function vector
837 -   ctx - [optional] user-defined function context
838 
839     Level: beginner
840 
841 .keywords: TS, timestep, set, right-hand-side, function
842 
843 .seealso: TSSetRHSJacobian(), TSSetIJacobian()
844 @*/
845 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
846 {
847   PetscErrorCode ierr;
848   SNES           snes;
849   Vec            ralloc = NULL;
850   DM             dm;
851 
852   PetscFunctionBegin;
853   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
854   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
855 
856   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
857   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
858   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
859   if (!r && !ts->dm && ts->vec_sol) {
860     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
861     r    = ralloc;
862   }
863   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
864   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
865   PetscFunctionReturn(0);
866 }
867 
868 #undef __FUNCT__
869 #define __FUNCT__ "TSSetSolutionFunction"
870 /*@C
871     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
872 
873     Logically Collective on TS
874 
875     Input Parameters:
876 +   ts - the TS context obtained from TSCreate()
877 .   f - routine for evaluating the solution
878 -   ctx - [optional] user-defined context for private data for the
879           function evaluation routine (may be NULL)
880 
881     Calling sequence of func:
882 $     func (TS ts,PetscReal t,Vec u,void *ctx);
883 
884 +   t - current timestep
885 .   u - output vector
886 -   ctx - [optional] user-defined function context
887 
888     Notes:
889     This routine is used for testing accuracy of time integration schemes when you already know the solution.
890     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
891     create closed-form solutions with non-physical forcing terms.
892 
893     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
894 
895     Level: beginner
896 
897 .keywords: TS, timestep, set, right-hand-side, function
898 
899 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
900 @*/
901 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
902 {
903   PetscErrorCode ierr;
904   DM             dm;
905 
906   PetscFunctionBegin;
907   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
908   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
909   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
910   PetscFunctionReturn(0);
911 }
912 
913 #undef __FUNCT__
914 #define __FUNCT__ "TSSetForcingFunction"
915 /*@C
916     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
917 
918     Logically Collective on TS
919 
920     Input Parameters:
921 +   ts - the TS context obtained from TSCreate()
922 .   f - routine for evaluating the forcing function
923 -   ctx - [optional] user-defined context for private data for the
924           function evaluation routine (may be NULL)
925 
926     Calling sequence of func:
927 $     func (TS ts,PetscReal t,Vec u,void *ctx);
928 
929 +   t - current timestep
930 .   u - output vector
931 -   ctx - [optional] user-defined function context
932 
933     Notes:
934     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
935     create closed-form solutions with a non-physical forcing term.
936 
937     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
938 
939     Level: beginner
940 
941 .keywords: TS, timestep, set, right-hand-side, function
942 
943 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
944 @*/
945 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
946 {
947   PetscErrorCode ierr;
948   DM             dm;
949 
950   PetscFunctionBegin;
951   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
952   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
953   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
954   PetscFunctionReturn(0);
955 }
956 
957 #undef __FUNCT__
958 #define __FUNCT__ "TSSetRHSJacobian"
959 /*@C
960    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
961    where U_t = G(U,t), as well as the location to store the matrix.
962 
963    Logically Collective on TS
964 
965    Input Parameters:
966 +  ts  - the TS context obtained from TSCreate()
967 .  Amat - (approximate) Jacobian matrix
968 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
969 .  f   - the Jacobian evaluation routine
970 -  ctx - [optional] user-defined context for private data for the
971          Jacobian evaluation routine (may be NULL)
972 
973    Calling sequence of func:
974 $     func (TS ts,PetscReal t,Vec u,Mat *A,Mat *B,MatStructure *flag,void *ctx);
975 
976 +  t - current timestep
977 .  u - input vector
978 .  Amat - (approximate) Jacobian matrix
979 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
980 .  flag - flag indicating information about the preconditioner matrix
981           structure (same as flag in KSPSetOperators())
982 -  ctx - [optional] user-defined context for matrix evaluation routine
983 
984    Notes:
985    See KSPSetOperators() for important information about setting the flag
986    output parameter in the routine func().  Be sure to read this information!
987 
988    The routine func() takes Mat * as the matrix arguments rather than Mat.
989    This allows the matrix evaluation routine to replace A and/or B with a
990    completely new matrix structure (not just different matrix elements)
991    when appropriate, for instance, if the nonzero structure is changing
992    throughout the global iterations.
993 
994    Level: beginner
995 
996 .keywords: TS, timestep, set, right-hand-side, Jacobian
997 
998 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse()
999 
1000 @*/
1001 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1002 {
1003   PetscErrorCode ierr;
1004   SNES           snes;
1005   DM             dm;
1006   TSIJacobian    ijacobian;
1007 
1008   PetscFunctionBegin;
1009   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1010   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1011   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1012   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1013   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1014 
1015   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1016   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1017   if (f == TSComputeRHSJacobianConstant) {
1018     /* Handle this case automatically for the user; otherwise user should call themselves. */
1019     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1020   }
1021   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1022   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1023   if (!ijacobian) {
1024     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1025   }
1026   if (Amat) {
1027     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1028     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1029 
1030     ts->Arhs = Amat;
1031   }
1032   if (Pmat) {
1033     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1034     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1035 
1036     ts->Brhs = Pmat;
1037   }
1038   PetscFunctionReturn(0);
1039 }
1040 
1041 
1042 #undef __FUNCT__
1043 #define __FUNCT__ "TSSetIFunction"
1044 /*@C
1045    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1046 
1047    Logically Collective on TS
1048 
1049    Input Parameters:
1050 +  ts  - the TS context obtained from TSCreate()
1051 .  r   - vector to hold the residual (or NULL to have it created internally)
1052 .  f   - the function evaluation routine
1053 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1054 
1055    Calling sequence of f:
1056 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1057 
1058 +  t   - time at step/stage being solved
1059 .  u   - state vector
1060 .  u_t - time derivative of state vector
1061 .  F   - function vector
1062 -  ctx - [optional] user-defined context for matrix evaluation routine
1063 
1064    Important:
1065    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1066 
1067    Level: beginner
1068 
1069 .keywords: TS, timestep, set, DAE, Jacobian
1070 
1071 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1072 @*/
1073 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1074 {
1075   PetscErrorCode ierr;
1076   SNES           snes;
1077   Vec            resalloc = NULL;
1078   DM             dm;
1079 
1080   PetscFunctionBegin;
1081   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1082   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1083 
1084   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1085   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1086 
1087   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1088   if (!res && !ts->dm && ts->vec_sol) {
1089     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1090     res  = resalloc;
1091   }
1092   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1093   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1094   PetscFunctionReturn(0);
1095 }
1096 
1097 #undef __FUNCT__
1098 #define __FUNCT__ "TSGetIFunction"
1099 /*@C
1100    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1101 
1102    Not Collective
1103 
1104    Input Parameter:
1105 .  ts - the TS context
1106 
1107    Output Parameter:
1108 +  r - vector to hold residual (or NULL)
1109 .  func - the function to compute residual (or NULL)
1110 -  ctx - the function context (or NULL)
1111 
1112    Level: advanced
1113 
1114 .keywords: TS, nonlinear, get, function
1115 
1116 .seealso: TSSetIFunction(), SNESGetFunction()
1117 @*/
1118 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1119 {
1120   PetscErrorCode ierr;
1121   SNES           snes;
1122   DM             dm;
1123 
1124   PetscFunctionBegin;
1125   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1126   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1127   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1128   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1129   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1130   PetscFunctionReturn(0);
1131 }
1132 
1133 #undef __FUNCT__
1134 #define __FUNCT__ "TSGetRHSFunction"
1135 /*@C
1136    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1137 
1138    Not Collective
1139 
1140    Input Parameter:
1141 .  ts - the TS context
1142 
1143    Output Parameter:
1144 +  r - vector to hold computed right hand side (or NULL)
1145 .  func - the function to compute right hand side (or NULL)
1146 -  ctx - the function context (or NULL)
1147 
1148    Level: advanced
1149 
1150 .keywords: TS, nonlinear, get, function
1151 
1152 .seealso: TSSetRhsfunction(), SNESGetFunction()
1153 @*/
1154 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1155 {
1156   PetscErrorCode ierr;
1157   SNES           snes;
1158   DM             dm;
1159 
1160   PetscFunctionBegin;
1161   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1162   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1163   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1164   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1165   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1166   PetscFunctionReturn(0);
1167 }
1168 
1169 #undef __FUNCT__
1170 #define __FUNCT__ "TSSetIJacobian"
1171 /*@C
1172    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1173         you provided with TSSetIFunction().
1174 
1175    Logically Collective on TS
1176 
1177    Input Parameters:
1178 +  ts  - the TS context obtained from TSCreate()
1179 .  Amat - (approximate) Jacobian matrix
1180 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1181 .  f   - the Jacobian evaluation routine
1182 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1183 
1184    Calling sequence of f:
1185 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat *Amat,Mat *Pmat,MatStructure *flag,void *ctx);
1186 
1187 +  t    - time at step/stage being solved
1188 .  U    - state vector
1189 .  U_t  - time derivative of state vector
1190 .  a    - shift
1191 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1192 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1193 .  flag - flag indicating information about the preconditioner matrix
1194           structure (same as flag in KSPSetOperators())
1195 -  ctx  - [optional] user-defined context for matrix evaluation routine
1196 
1197    Notes:
1198    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1199 
1200    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1201    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1202    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1203    a and vector W depend on the integration method, step size, and past states. For example with
1204    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1205    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1206 
1207    Level: beginner
1208 
1209 .keywords: TS, timestep, DAE, Jacobian
1210 
1211 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault()
1212 
1213 @*/
1214 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1215 {
1216   PetscErrorCode ierr;
1217   SNES           snes;
1218   DM             dm;
1219 
1220   PetscFunctionBegin;
1221   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1222   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1223   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1224   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1225   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1226 
1227   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1228   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1229 
1230   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1231   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "TSRHSJacobianSetReuse"
1237 /*@
1238    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1239    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1240    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1241    not been changed by the TS.
1242 
1243    Logically Collective
1244 
1245    Input Arguments:
1246 +  ts - TS context obtained from TSCreate()
1247 -  reuse - PETSC_TRUE if the RHS Jacobian
1248 
1249    Level: intermediate
1250 
1251 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1252 @*/
1253 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1254 {
1255   PetscFunctionBegin;
1256   ts->rhsjacobian.reuse = reuse;
1257   PetscFunctionReturn(0);
1258 }
1259 
1260 #undef __FUNCT__
1261 #define __FUNCT__ "TSLoad"
1262 /*@C
1263   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1264 
1265   Collective on PetscViewer
1266 
1267   Input Parameters:
1268 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1269            some related function before a call to TSLoad().
1270 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1271 
1272    Level: intermediate
1273 
1274   Notes:
1275    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1276 
1277   Notes for advanced users:
1278   Most users should not need to know the details of the binary storage
1279   format, since TSLoad() and TSView() completely hide these details.
1280   But for anyone who's interested, the standard binary matrix storage
1281   format is
1282 .vb
1283      has not yet been determined
1284 .ve
1285 
1286 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1287 @*/
1288 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1289 {
1290   PetscErrorCode ierr;
1291   PetscBool      isbinary;
1292   PetscInt       classid;
1293   char           type[256];
1294   DMTS           sdm;
1295   DM             dm;
1296 
1297   PetscFunctionBegin;
1298   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1299   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1300   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1301   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1302 
1303   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1304   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1305   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1306   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1307   if (ts->ops->load) {
1308     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1309   }
1310   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1311   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1312   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1313   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1314   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1315   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1316   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 #include <petscdraw.h>
1321 #if defined(PETSC_HAVE_SAWS)
1322 #include <petscviewersaws.h>
1323 #endif
1324 #undef __FUNCT__
1325 #define __FUNCT__ "TSView"
1326 /*@C
1327     TSView - Prints the TS data structure.
1328 
1329     Collective on TS
1330 
1331     Input Parameters:
1332 +   ts - the TS context obtained from TSCreate()
1333 -   viewer - visualization context
1334 
1335     Options Database Key:
1336 .   -ts_view - calls TSView() at end of TSStep()
1337 
1338     Notes:
1339     The available visualization contexts include
1340 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1341 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1342          output where only the first processor opens
1343          the file.  All other processors send their
1344          data to the first processor to print.
1345 
1346     The user can open an alternative visualization context with
1347     PetscViewerASCIIOpen() - output to a specified file.
1348 
1349     Level: beginner
1350 
1351 .keywords: TS, timestep, view
1352 
1353 .seealso: PetscViewerASCIIOpen()
1354 @*/
1355 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1356 {
1357   PetscErrorCode ierr;
1358   TSType         type;
1359   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1360   DMTS           sdm;
1361 #if defined(PETSC_HAVE_SAWS)
1362   PetscBool      isams;
1363 #endif
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (!viewer) {
1368     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1369   }
1370   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1371   PetscCheckSameComm(ts,1,viewer,2);
1372 
1373   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1374   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1375   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1376   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1377 #if defined(PETSC_HAVE_SAWS)
1378   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&isams);CHKERRQ(ierr);
1379 #endif
1380   if (iascii) {
1381     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1382     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1383     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1384     if (ts->problem_type == TS_NONLINEAR) {
1385       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1386       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1387     }
1388     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1389     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1390     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1391     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1392     if (ts->ops->view) {
1393       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1394       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1395       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1396     }
1397   } else if (isstring) {
1398     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1399     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1400   } else if (isbinary) {
1401     PetscInt    classid = TS_FILE_CLASSID;
1402     MPI_Comm    comm;
1403     PetscMPIInt rank;
1404     char        type[256];
1405 
1406     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1407     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1408     if (!rank) {
1409       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1410       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1411       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1412     }
1413     if (ts->ops->view) {
1414       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1415     }
1416     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1417     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1418     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1419     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1420   } else if (isdraw) {
1421     PetscDraw draw;
1422     char      str[36];
1423     PetscReal x,y,bottom,h;
1424 
1425     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1426     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1427     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1428     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1429     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1430     bottom = y - h;
1431     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1432     if (ts->ops->view) {
1433       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1434     }
1435     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1436 #if defined(PETSC_HAVE_SAWS)
1437   } else if (isams) {
1438     PetscMPIInt rank;
1439     const char  *name;
1440 
1441     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1442     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1443     if (!((PetscObject)ts)->amsmem && !rank) {
1444       char       dir[1024];
1445 
1446       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1447       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1448       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1449       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1450       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1451     }
1452     if (ts->ops->view) {
1453       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1454     }
1455 #endif
1456   }
1457 
1458   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1459   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1460   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1461   PetscFunctionReturn(0);
1462 }
1463 
1464 
1465 #undef __FUNCT__
1466 #define __FUNCT__ "TSSetApplicationContext"
1467 /*@
1468    TSSetApplicationContext - Sets an optional user-defined context for
1469    the timesteppers.
1470 
1471    Logically Collective on TS
1472 
1473    Input Parameters:
1474 +  ts - the TS context obtained from TSCreate()
1475 -  usrP - optional user context
1476 
1477    Level: intermediate
1478 
1479 .keywords: TS, timestep, set, application, context
1480 
1481 .seealso: TSGetApplicationContext()
1482 @*/
1483 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1484 {
1485   PetscFunctionBegin;
1486   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1487   ts->user = usrP;
1488   PetscFunctionReturn(0);
1489 }
1490 
1491 #undef __FUNCT__
1492 #define __FUNCT__ "TSGetApplicationContext"
1493 /*@
1494     TSGetApplicationContext - Gets the user-defined context for the
1495     timestepper.
1496 
1497     Not Collective
1498 
1499     Input Parameter:
1500 .   ts - the TS context obtained from TSCreate()
1501 
1502     Output Parameter:
1503 .   usrP - user context
1504 
1505     Level: intermediate
1506 
1507 .keywords: TS, timestep, get, application, context
1508 
1509 .seealso: TSSetApplicationContext()
1510 @*/
1511 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1512 {
1513   PetscFunctionBegin;
1514   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1515   *(void**)usrP = ts->user;
1516   PetscFunctionReturn(0);
1517 }
1518 
1519 #undef __FUNCT__
1520 #define __FUNCT__ "TSGetTimeStepNumber"
1521 /*@
1522    TSGetTimeStepNumber - Gets the number of time steps completed.
1523 
1524    Not Collective
1525 
1526    Input Parameter:
1527 .  ts - the TS context obtained from TSCreate()
1528 
1529    Output Parameter:
1530 .  iter - number of steps completed so far
1531 
1532    Level: intermediate
1533 
1534 .keywords: TS, timestep, get, iteration, number
1535 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1536 @*/
1537 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1538 {
1539   PetscFunctionBegin;
1540   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1541   PetscValidIntPointer(iter,2);
1542   *iter = ts->steps;
1543   PetscFunctionReturn(0);
1544 }
1545 
1546 #undef __FUNCT__
1547 #define __FUNCT__ "TSSetInitialTimeStep"
1548 /*@
1549    TSSetInitialTimeStep - Sets the initial timestep to be used,
1550    as well as the initial time.
1551 
1552    Logically Collective on TS
1553 
1554    Input Parameters:
1555 +  ts - the TS context obtained from TSCreate()
1556 .  initial_time - the initial time
1557 -  time_step - the size of the timestep
1558 
1559    Level: intermediate
1560 
1561 .seealso: TSSetTimeStep(), TSGetTimeStep()
1562 
1563 .keywords: TS, set, initial, timestep
1564 @*/
1565 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1566 {
1567   PetscErrorCode ierr;
1568 
1569   PetscFunctionBegin;
1570   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1571   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1572   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1573   PetscFunctionReturn(0);
1574 }
1575 
1576 #undef __FUNCT__
1577 #define __FUNCT__ "TSSetTimeStep"
1578 /*@
1579    TSSetTimeStep - Allows one to reset the timestep at any time,
1580    useful for simple pseudo-timestepping codes.
1581 
1582    Logically Collective on TS
1583 
1584    Input Parameters:
1585 +  ts - the TS context obtained from TSCreate()
1586 -  time_step - the size of the timestep
1587 
1588    Level: intermediate
1589 
1590 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1591 
1592 .keywords: TS, set, timestep
1593 @*/
1594 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1595 {
1596   PetscFunctionBegin;
1597   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1598   PetscValidLogicalCollectiveReal(ts,time_step,2);
1599   ts->time_step      = time_step;
1600   ts->time_step_orig = time_step;
1601   PetscFunctionReturn(0);
1602 }
1603 
1604 #undef __FUNCT__
1605 #define __FUNCT__ "TSSetExactFinalTime"
1606 /*@
1607    TSSetExactFinalTime - Determines whether to adapt the final time step to
1608      match the exact final time, interpolate solution to the exact final time,
1609      or just return at the final time TS computed.
1610 
1611   Logically Collective on TS
1612 
1613    Input Parameter:
1614 +   ts - the time-step context
1615 -   eftopt - exact final time option
1616 
1617    Level: beginner
1618 
1619 .seealso: TSExactFinalTimeOption
1620 @*/
1621 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1622 {
1623   PetscFunctionBegin;
1624   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1625   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1626   ts->exact_final_time = eftopt;
1627   PetscFunctionReturn(0);
1628 }
1629 
1630 #undef __FUNCT__
1631 #define __FUNCT__ "TSGetTimeStep"
1632 /*@
1633    TSGetTimeStep - Gets the current timestep size.
1634 
1635    Not Collective
1636 
1637    Input Parameter:
1638 .  ts - the TS context obtained from TSCreate()
1639 
1640    Output Parameter:
1641 .  dt - the current timestep size
1642 
1643    Level: intermediate
1644 
1645 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1646 
1647 .keywords: TS, get, timestep
1648 @*/
1649 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1650 {
1651   PetscFunctionBegin;
1652   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1653   PetscValidRealPointer(dt,2);
1654   *dt = ts->time_step;
1655   PetscFunctionReturn(0);
1656 }
1657 
1658 #undef __FUNCT__
1659 #define __FUNCT__ "TSGetSolution"
1660 /*@
1661    TSGetSolution - Returns the solution at the present timestep. It
1662    is valid to call this routine inside the function that you are evaluating
1663    in order to move to the new timestep. This vector not changed until
1664    the solution at the next timestep has been calculated.
1665 
1666    Not Collective, but Vec returned is parallel if TS is parallel
1667 
1668    Input Parameter:
1669 .  ts - the TS context obtained from TSCreate()
1670 
1671    Output Parameter:
1672 .  v - the vector containing the solution
1673 
1674    Level: intermediate
1675 
1676 .seealso: TSGetTimeStep()
1677 
1678 .keywords: TS, timestep, get, solution
1679 @*/
1680 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1681 {
1682   PetscFunctionBegin;
1683   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1684   PetscValidPointer(v,2);
1685   *v = ts->vec_sol;
1686   PetscFunctionReturn(0);
1687 }
1688 
1689 /* ----- Routines to initialize and destroy a timestepper ---- */
1690 #undef __FUNCT__
1691 #define __FUNCT__ "TSSetProblemType"
1692 /*@
1693   TSSetProblemType - Sets the type of problem to be solved.
1694 
1695   Not collective
1696 
1697   Input Parameters:
1698 + ts   - The TS
1699 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1700 .vb
1701          U_t - A U = 0      (linear)
1702          U_t - A(t) U = 0   (linear)
1703          F(t,U,U_t) = 0     (nonlinear)
1704 .ve
1705 
1706    Level: beginner
1707 
1708 .keywords: TS, problem type
1709 .seealso: TSSetUp(), TSProblemType, TS
1710 @*/
1711 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1712 {
1713   PetscErrorCode ierr;
1714 
1715   PetscFunctionBegin;
1716   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1717   ts->problem_type = type;
1718   if (type == TS_LINEAR) {
1719     SNES snes;
1720     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1721     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1722   }
1723   PetscFunctionReturn(0);
1724 }
1725 
1726 #undef __FUNCT__
1727 #define __FUNCT__ "TSGetProblemType"
1728 /*@C
1729   TSGetProblemType - Gets the type of problem to be solved.
1730 
1731   Not collective
1732 
1733   Input Parameter:
1734 . ts   - The TS
1735 
1736   Output Parameter:
1737 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1738 .vb
1739          M U_t = A U
1740          M(t) U_t = A(t) U
1741          F(t,U,U_t)
1742 .ve
1743 
1744    Level: beginner
1745 
1746 .keywords: TS, problem type
1747 .seealso: TSSetUp(), TSProblemType, TS
1748 @*/
1749 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1750 {
1751   PetscFunctionBegin;
1752   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1753   PetscValidIntPointer(type,2);
1754   *type = ts->problem_type;
1755   PetscFunctionReturn(0);
1756 }
1757 
1758 #undef __FUNCT__
1759 #define __FUNCT__ "TSSetUp"
1760 /*@
1761    TSSetUp - Sets up the internal data structures for the later use
1762    of a timestepper.
1763 
1764    Collective on TS
1765 
1766    Input Parameter:
1767 .  ts - the TS context obtained from TSCreate()
1768 
1769    Notes:
1770    For basic use of the TS solvers the user need not explicitly call
1771    TSSetUp(), since these actions will automatically occur during
1772    the call to TSStep().  However, if one wishes to control this
1773    phase separately, TSSetUp() should be called after TSCreate()
1774    and optional routines of the form TSSetXXX(), but before TSStep().
1775 
1776    Level: advanced
1777 
1778 .keywords: TS, timestep, setup
1779 
1780 .seealso: TSCreate(), TSStep(), TSDestroy()
1781 @*/
1782 PetscErrorCode  TSSetUp(TS ts)
1783 {
1784   PetscErrorCode ierr;
1785   DM             dm;
1786   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1787   PetscErrorCode (*jac)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1788   TSIJacobian    ijac;
1789   TSRHSJacobian  rhsjac;
1790 
1791   PetscFunctionBegin;
1792   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1793   if (ts->setupcalled) PetscFunctionReturn(0);
1794 
1795   if (!((PetscObject)ts)->type_name) {
1796     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1797   }
1798 
1799   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1800 
1801   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1802 
1803   if (ts->rhsjacobian.reuse) {
1804     Mat Amat,Pmat;
1805     SNES snes;
1806     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1807     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1808     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1809      * have displaced the RHS matrix */
1810     if (Amat == ts->Arhs) {
1811       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1812       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1813       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1814     }
1815     if (Pmat == ts->Brhs) {
1816       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1817       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1818       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1819     }
1820   }
1821 
1822   if (ts->ops->setup) {
1823     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1824   }
1825 
1826   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1827    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1828    */
1829   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1830   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1831   if (!func) {
1832     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1833   }
1834   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1835      Otherwise, the SNES will use coloring internally to form the Jacobian.
1836    */
1837   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1838   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1839   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1840   if (!jac && (ijac || rhsjac)) {
1841     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1842   }
1843   ts->setupcalled = PETSC_TRUE;
1844   PetscFunctionReturn(0);
1845 }
1846 
1847 #undef __FUNCT__
1848 #define __FUNCT__ "TSReset"
1849 /*@
1850    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1851 
1852    Collective on TS
1853 
1854    Input Parameter:
1855 .  ts - the TS context obtained from TSCreate()
1856 
1857    Level: beginner
1858 
1859 .keywords: TS, timestep, reset
1860 
1861 .seealso: TSCreate(), TSSetup(), TSDestroy()
1862 @*/
1863 PetscErrorCode  TSReset(TS ts)
1864 {
1865   PetscErrorCode ierr;
1866 
1867   PetscFunctionBegin;
1868   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1869   if (ts->ops->reset) {
1870     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1871   }
1872   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1873 
1874   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1875   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1876   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1877   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1878   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1879   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1880   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1881 
1882   ts->setupcalled = PETSC_FALSE;
1883   PetscFunctionReturn(0);
1884 }
1885 
1886 #undef __FUNCT__
1887 #define __FUNCT__ "TSDestroy"
1888 /*@
1889    TSDestroy - Destroys the timestepper context that was created
1890    with TSCreate().
1891 
1892    Collective on TS
1893 
1894    Input Parameter:
1895 .  ts - the TS context obtained from TSCreate()
1896 
1897    Level: beginner
1898 
1899 .keywords: TS, timestepper, destroy
1900 
1901 .seealso: TSCreate(), TSSetUp(), TSSolve()
1902 @*/
1903 PetscErrorCode  TSDestroy(TS *ts)
1904 {
1905   PetscErrorCode ierr;
1906 
1907   PetscFunctionBegin;
1908   if (!*ts) PetscFunctionReturn(0);
1909   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1910   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1911 
1912   ierr = TSReset((*ts));CHKERRQ(ierr);
1913 
1914   /* if memory was published with SAWs then destroy it */
1915   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
1916   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1917 
1918   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
1919   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
1920   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
1921   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
1922 
1923   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
1924   PetscFunctionReturn(0);
1925 }
1926 
1927 #undef __FUNCT__
1928 #define __FUNCT__ "TSGetSNES"
1929 /*@
1930    TSGetSNES - Returns the SNES (nonlinear solver) associated with
1931    a TS (timestepper) context. Valid only for nonlinear problems.
1932 
1933    Not Collective, but SNES is parallel if TS is parallel
1934 
1935    Input Parameter:
1936 .  ts - the TS context obtained from TSCreate()
1937 
1938    Output Parameter:
1939 .  snes - the nonlinear solver context
1940 
1941    Notes:
1942    The user can then directly manipulate the SNES context to set various
1943    options, etc.  Likewise, the user can then extract and manipulate the
1944    KSP, KSP, and PC contexts as well.
1945 
1946    TSGetSNES() does not work for integrators that do not use SNES; in
1947    this case TSGetSNES() returns NULL in snes.
1948 
1949    Level: beginner
1950 
1951 .keywords: timestep, get, SNES
1952 @*/
1953 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
1954 {
1955   PetscErrorCode ierr;
1956 
1957   PetscFunctionBegin;
1958   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1959   PetscValidPointer(snes,2);
1960   if (!ts->snes) {
1961     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
1962     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
1963     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
1964     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
1965     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
1966     if (ts->problem_type == TS_LINEAR) {
1967       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
1968     }
1969   }
1970   *snes = ts->snes;
1971   PetscFunctionReturn(0);
1972 }
1973 
1974 #undef __FUNCT__
1975 #define __FUNCT__ "TSSetSNES"
1976 /*@
1977    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
1978 
1979    Collective
1980 
1981    Input Parameter:
1982 +  ts - the TS context obtained from TSCreate()
1983 -  snes - the nonlinear solver context
1984 
1985    Notes:
1986    Most users should have the TS created by calling TSGetSNES()
1987 
1988    Level: developer
1989 
1990 .keywords: timestep, set, SNES
1991 @*/
1992 PetscErrorCode TSSetSNES(TS ts,SNES snes)
1993 {
1994   PetscErrorCode ierr;
1995   PetscErrorCode (*func)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1996 
1997   PetscFunctionBegin;
1998   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1999   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2000   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2001   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2002 
2003   ts->snes = snes;
2004 
2005   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2006   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2007   if (func == SNESTSFormJacobian) {
2008     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2009   }
2010   PetscFunctionReturn(0);
2011 }
2012 
2013 #undef __FUNCT__
2014 #define __FUNCT__ "TSGetKSP"
2015 /*@
2016    TSGetKSP - Returns the KSP (linear solver) associated with
2017    a TS (timestepper) context.
2018 
2019    Not Collective, but KSP is parallel if TS is parallel
2020 
2021    Input Parameter:
2022 .  ts - the TS context obtained from TSCreate()
2023 
2024    Output Parameter:
2025 .  ksp - the nonlinear solver context
2026 
2027    Notes:
2028    The user can then directly manipulate the KSP context to set various
2029    options, etc.  Likewise, the user can then extract and manipulate the
2030    KSP and PC contexts as well.
2031 
2032    TSGetKSP() does not work for integrators that do not use KSP;
2033    in this case TSGetKSP() returns NULL in ksp.
2034 
2035    Level: beginner
2036 
2037 .keywords: timestep, get, KSP
2038 @*/
2039 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2040 {
2041   PetscErrorCode ierr;
2042   SNES           snes;
2043 
2044   PetscFunctionBegin;
2045   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2046   PetscValidPointer(ksp,2);
2047   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2048   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2049   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2050   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2051   PetscFunctionReturn(0);
2052 }
2053 
2054 /* ----------- Routines to set solver parameters ---------- */
2055 
2056 #undef __FUNCT__
2057 #define __FUNCT__ "TSGetDuration"
2058 /*@
2059    TSGetDuration - Gets the maximum number of timesteps to use and
2060    maximum time for iteration.
2061 
2062    Not Collective
2063 
2064    Input Parameters:
2065 +  ts       - the TS context obtained from TSCreate()
2066 .  maxsteps - maximum number of iterations to use, or NULL
2067 -  maxtime  - final time to iterate to, or NULL
2068 
2069    Level: intermediate
2070 
2071 .keywords: TS, timestep, get, maximum, iterations, time
2072 @*/
2073 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2074 {
2075   PetscFunctionBegin;
2076   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2077   if (maxsteps) {
2078     PetscValidIntPointer(maxsteps,2);
2079     *maxsteps = ts->max_steps;
2080   }
2081   if (maxtime) {
2082     PetscValidScalarPointer(maxtime,3);
2083     *maxtime = ts->max_time;
2084   }
2085   PetscFunctionReturn(0);
2086 }
2087 
2088 #undef __FUNCT__
2089 #define __FUNCT__ "TSSetDuration"
2090 /*@
2091    TSSetDuration - Sets the maximum number of timesteps to use and
2092    maximum time for iteration.
2093 
2094    Logically Collective on TS
2095 
2096    Input Parameters:
2097 +  ts - the TS context obtained from TSCreate()
2098 .  maxsteps - maximum number of iterations to use
2099 -  maxtime - final time to iterate to
2100 
2101    Options Database Keys:
2102 .  -ts_max_steps <maxsteps> - Sets maxsteps
2103 .  -ts_final_time <maxtime> - Sets maxtime
2104 
2105    Notes:
2106    The default maximum number of iterations is 5000. Default time is 5.0
2107 
2108    Level: intermediate
2109 
2110 .keywords: TS, timestep, set, maximum, iterations
2111 
2112 .seealso: TSSetExactFinalTime()
2113 @*/
2114 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2115 {
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2119   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2120   if (maxsteps >= 0) ts->max_steps = maxsteps;
2121   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2122   PetscFunctionReturn(0);
2123 }
2124 
2125 #undef __FUNCT__
2126 #define __FUNCT__ "TSSetSolution"
2127 /*@
2128    TSSetSolution - Sets the initial solution vector
2129    for use by the TS routines.
2130 
2131    Logically Collective on TS and Vec
2132 
2133    Input Parameters:
2134 +  ts - the TS context obtained from TSCreate()
2135 -  u - the solution vector
2136 
2137    Level: beginner
2138 
2139 .keywords: TS, timestep, set, solution, initial conditions
2140 @*/
2141 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2142 {
2143   PetscErrorCode ierr;
2144   DM             dm;
2145 
2146   PetscFunctionBegin;
2147   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2148   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2149   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2150   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2151 
2152   ts->vec_sol = u;
2153 
2154   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2155   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2156   PetscFunctionReturn(0);
2157 }
2158 
2159 #undef __FUNCT__
2160 #define __FUNCT__ "TSSetPreStep"
2161 /*@C
2162   TSSetPreStep - Sets the general-purpose function
2163   called once at the beginning of each time step.
2164 
2165   Logically Collective on TS
2166 
2167   Input Parameters:
2168 + ts   - The TS context obtained from TSCreate()
2169 - func - The function
2170 
2171   Calling sequence of func:
2172 . func (TS ts);
2173 
2174   Level: intermediate
2175 
2176   Note:
2177   If a step is rejected, TSStep() will call this routine again before each attempt.
2178   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2179   size of the step being attempted can be obtained using TSGetTimeStep().
2180 
2181 .keywords: TS, timestep
2182 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2183 @*/
2184 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2185 {
2186   PetscFunctionBegin;
2187   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2188   ts->prestep = func;
2189   PetscFunctionReturn(0);
2190 }
2191 
2192 #undef __FUNCT__
2193 #define __FUNCT__ "TSPreStep"
2194 /*@
2195   TSPreStep - Runs the user-defined pre-step function.
2196 
2197   Collective on TS
2198 
2199   Input Parameters:
2200 . ts   - The TS context obtained from TSCreate()
2201 
2202   Notes:
2203   TSPreStep() is typically used within time stepping implementations,
2204   so most users would not generally call this routine themselves.
2205 
2206   Level: developer
2207 
2208 .keywords: TS, timestep
2209 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2210 @*/
2211 PetscErrorCode  TSPreStep(TS ts)
2212 {
2213   PetscErrorCode ierr;
2214 
2215   PetscFunctionBegin;
2216   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2217   if (ts->prestep) {
2218     PetscStackCallStandard((*ts->prestep),(ts));
2219   }
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 #undef __FUNCT__
2224 #define __FUNCT__ "TSSetPreStage"
2225 /*@C
2226   TSSetPreStage - Sets the general-purpose function
2227   called once at the beginning of each stage.
2228 
2229   Logically Collective on TS
2230 
2231   Input Parameters:
2232 + ts   - The TS context obtained from TSCreate()
2233 - func - The function
2234 
2235   Calling sequence of func:
2236 . PetscErrorCode func(TS ts, PetscReal stagetime);
2237 
2238   Level: intermediate
2239 
2240   Note:
2241   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2242   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2243   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2244 
2245 .keywords: TS, timestep
2246 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2247 @*/
2248 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2249 {
2250   PetscFunctionBegin;
2251   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2252   ts->prestage = func;
2253   PetscFunctionReturn(0);
2254 }
2255 
2256 #undef __FUNCT__
2257 #define __FUNCT__ "TSSetPostStage"
2258 /*@C
2259   TSSetPostStage - Sets the general-purpose function
2260   called once at the end of each stage.
2261 
2262   Logically Collective on TS
2263 
2264   Input Parameters:
2265 + ts   - The TS context obtained from TSCreate()
2266 - func - The function
2267 
2268   Calling sequence of func:
2269 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2270 
2271   Level: intermediate
2272 
2273   Note:
2274   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2275   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2276   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2277 
2278 .keywords: TS, timestep
2279 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2280 @*/
2281 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2282 {
2283   PetscFunctionBegin;
2284   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2285   ts->poststage = func;
2286   PetscFunctionReturn(0);
2287 }
2288 
2289 #undef __FUNCT__
2290 #define __FUNCT__ "TSPreStage"
2291 /*@
2292   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2293 
2294   Collective on TS
2295 
2296   Input Parameters:
2297 . ts          - The TS context obtained from TSCreate()
2298   stagetime   - The absolute time of the current stage
2299 
2300   Notes:
2301   TSPreStage() is typically used within time stepping implementations,
2302   most users would not generally call this routine themselves.
2303 
2304   Level: developer
2305 
2306 .keywords: TS, timestep
2307 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2308 @*/
2309 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2310 {
2311   PetscErrorCode ierr;
2312 
2313   PetscFunctionBegin;
2314   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2315   if (ts->prestage) {
2316     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2317   }
2318   PetscFunctionReturn(0);
2319 }
2320 
2321 #undef __FUNCT__
2322 #define __FUNCT__ "TSPostStage"
2323 /*@
2324   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2325 
2326   Collective on TS
2327 
2328   Input Parameters:
2329 . ts          - The TS context obtained from TSCreate()
2330   stagetime   - The absolute time of the current stage
2331   stageindex  - Stage number
2332   Y           - Array of vectors (of size = total number
2333                 of stages) with the stage solutions
2334 
2335   Notes:
2336   TSPostStage() is typically used within time stepping implementations,
2337   most users would not generally call this routine themselves.
2338 
2339   Level: developer
2340 
2341 .keywords: TS, timestep
2342 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2343 @*/
2344 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2345 {
2346   PetscErrorCode ierr;
2347 
2348   PetscFunctionBegin;
2349   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2350   if (ts->prestage) {
2351     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2352   }
2353   PetscFunctionReturn(0);
2354 }
2355 
2356 #undef __FUNCT__
2357 #define __FUNCT__ "TSSetPostStep"
2358 /*@C
2359   TSSetPostStep - Sets the general-purpose function
2360   called once at the end of each time step.
2361 
2362   Logically Collective on TS
2363 
2364   Input Parameters:
2365 + ts   - The TS context obtained from TSCreate()
2366 - func - The function
2367 
2368   Calling sequence of func:
2369 $ func (TS ts);
2370 
2371   Level: intermediate
2372 
2373 .keywords: TS, timestep
2374 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2375 @*/
2376 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2377 {
2378   PetscFunctionBegin;
2379   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2380   ts->poststep = func;
2381   PetscFunctionReturn(0);
2382 }
2383 
2384 #undef __FUNCT__
2385 #define __FUNCT__ "TSPostStep"
2386 /*@
2387   TSPostStep - Runs the user-defined post-step function.
2388 
2389   Collective on TS
2390 
2391   Input Parameters:
2392 . ts   - The TS context obtained from TSCreate()
2393 
2394   Notes:
2395   TSPostStep() is typically used within time stepping implementations,
2396   so most users would not generally call this routine themselves.
2397 
2398   Level: developer
2399 
2400 .keywords: TS, timestep
2401 @*/
2402 PetscErrorCode  TSPostStep(TS ts)
2403 {
2404   PetscErrorCode ierr;
2405 
2406   PetscFunctionBegin;
2407   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2408   if (ts->poststep) {
2409     PetscStackCallStandard((*ts->poststep),(ts));
2410   }
2411   PetscFunctionReturn(0);
2412 }
2413 
2414 /* ------------ Routines to set performance monitoring options ----------- */
2415 
2416 #undef __FUNCT__
2417 #define __FUNCT__ "TSMonitorSet"
2418 /*@C
2419    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2420    timestep to display the iteration's  progress.
2421 
2422    Logically Collective on TS
2423 
2424    Input Parameters:
2425 +  ts - the TS context obtained from TSCreate()
2426 .  monitor - monitoring routine
2427 .  mctx - [optional] user-defined context for private data for the
2428              monitor routine (use NULL if no context is desired)
2429 -  monitordestroy - [optional] routine that frees monitor context
2430           (may be NULL)
2431 
2432    Calling sequence of monitor:
2433 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2434 
2435 +    ts - the TS context
2436 .    steps - iteration number (after the final time step the monitor routine is called with a step of -1, this is at the final time which may have
2437                                been interpolated to)
2438 .    time - current time
2439 .    u - current iterate
2440 -    mctx - [optional] monitoring context
2441 
2442    Notes:
2443    This routine adds an additional monitor to the list of monitors that
2444    already has been loaded.
2445 
2446    Fortran notes: Only a single monitor function can be set for each TS object
2447 
2448    Level: intermediate
2449 
2450 .keywords: TS, timestep, set, monitor
2451 
2452 .seealso: TSMonitorDefault(), TSMonitorCancel()
2453 @*/
2454 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2455 {
2456   PetscFunctionBegin;
2457   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2458   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2459   ts->monitor[ts->numbermonitors]          = monitor;
2460   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2461   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2462   PetscFunctionReturn(0);
2463 }
2464 
2465 #undef __FUNCT__
2466 #define __FUNCT__ "TSMonitorCancel"
2467 /*@C
2468    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2469 
2470    Logically Collective on TS
2471 
2472    Input Parameters:
2473 .  ts - the TS context obtained from TSCreate()
2474 
2475    Notes:
2476    There is no way to remove a single, specific monitor.
2477 
2478    Level: intermediate
2479 
2480 .keywords: TS, timestep, set, monitor
2481 
2482 .seealso: TSMonitorDefault(), TSMonitorSet()
2483 @*/
2484 PetscErrorCode  TSMonitorCancel(TS ts)
2485 {
2486   PetscErrorCode ierr;
2487   PetscInt       i;
2488 
2489   PetscFunctionBegin;
2490   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2491   for (i=0; i<ts->numbermonitors; i++) {
2492     if (ts->monitordestroy[i]) {
2493       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2494     }
2495   }
2496   ts->numbermonitors = 0;
2497   PetscFunctionReturn(0);
2498 }
2499 
2500 #undef __FUNCT__
2501 #define __FUNCT__ "TSMonitorDefault"
2502 /*@
2503    TSMonitorDefault - Sets the Default monitor
2504 
2505    Level: intermediate
2506 
2507 .keywords: TS, set, monitor
2508 
2509 .seealso: TSMonitorDefault(), TSMonitorSet()
2510 @*/
2511 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2512 {
2513   PetscErrorCode ierr;
2514   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2515 
2516   PetscFunctionBegin;
2517   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2518   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2519   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2520   PetscFunctionReturn(0);
2521 }
2522 
2523 #undef __FUNCT__
2524 #define __FUNCT__ "TSSetRetainStages"
2525 /*@
2526    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2527 
2528    Logically Collective on TS
2529 
2530    Input Argument:
2531 .  ts - time stepping context
2532 
2533    Output Argument:
2534 .  flg - PETSC_TRUE or PETSC_FALSE
2535 
2536    Level: intermediate
2537 
2538 .keywords: TS, set
2539 
2540 .seealso: TSInterpolate(), TSSetPostStep()
2541 @*/
2542 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2543 {
2544   PetscFunctionBegin;
2545   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2546   ts->retain_stages = flg;
2547   PetscFunctionReturn(0);
2548 }
2549 
2550 #undef __FUNCT__
2551 #define __FUNCT__ "TSInterpolate"
2552 /*@
2553    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2554 
2555    Collective on TS
2556 
2557    Input Argument:
2558 +  ts - time stepping context
2559 -  t - time to interpolate to
2560 
2561    Output Argument:
2562 .  U - state at given time
2563 
2564    Notes:
2565    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2566 
2567    Level: intermediate
2568 
2569    Developer Notes:
2570    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2571 
2572 .keywords: TS, set
2573 
2574 .seealso: TSSetRetainStages(), TSSetPostStep()
2575 @*/
2576 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2577 {
2578   PetscErrorCode ierr;
2579 
2580   PetscFunctionBegin;
2581   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2582   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2583   if (t < ts->ptime - ts->time_step_prev || t > ts->ptime) SETERRQ3(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Requested time %g not in last time steps [%g,%g]",t,(double)(ts->ptime-ts->time_step_prev),(double)ts->ptime);
2584   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
2585   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
2586   PetscFunctionReturn(0);
2587 }
2588 
2589 #undef __FUNCT__
2590 #define __FUNCT__ "TSStep"
2591 /*@
2592    TSStep - Steps one time step
2593 
2594    Collective on TS
2595 
2596    Input Parameter:
2597 .  ts - the TS context obtained from TSCreate()
2598 
2599    Level: intermediate
2600 
2601    Notes:
2602    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
2603    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
2604 
2605    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
2606    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
2607 
2608 .keywords: TS, timestep, solve
2609 
2610 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
2611 @*/
2612 PetscErrorCode  TSStep(TS ts)
2613 {
2614   PetscReal      ptime_prev;
2615   PetscErrorCode ierr;
2616 
2617   PetscFunctionBegin;
2618   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2619   ierr = TSSetUp(ts);CHKERRQ(ierr);
2620 
2621   ts->reason = TS_CONVERGED_ITERATING;
2622   ptime_prev = ts->ptime;
2623 
2624   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2625   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
2626   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2627 
2628   ts->time_step_prev = ts->ptime - ptime_prev;
2629 
2630   if (ts->reason < 0) {
2631     if (ts->errorifstepfailed) {
2632       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
2633         SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_snes_failures or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
2634       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
2635     }
2636   } else if (!ts->reason) {
2637     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2638     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2639   }
2640   PetscFunctionReturn(0);
2641 }
2642 
2643 #undef __FUNCT__
2644 #define __FUNCT__ "TSEvaluateStep"
2645 /*@
2646    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
2647 
2648    Collective on TS
2649 
2650    Input Arguments:
2651 +  ts - time stepping context
2652 .  order - desired order of accuracy
2653 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
2654 
2655    Output Arguments:
2656 .  U - state at the end of the current step
2657 
2658    Level: advanced
2659 
2660    Notes:
2661    This function cannot be called until all stages have been evaluated.
2662    It is normally called by adaptive controllers before a step has been accepted and may also be called by the user after TSStep() has returned.
2663 
2664 .seealso: TSStep(), TSAdapt
2665 @*/
2666 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
2667 {
2668   PetscErrorCode ierr;
2669 
2670   PetscFunctionBegin;
2671   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2672   PetscValidType(ts,1);
2673   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2674   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2675   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
2676   PetscFunctionReturn(0);
2677 }
2678 
2679 #undef __FUNCT__
2680 #define __FUNCT__ "TSSolve"
2681 /*@
2682    TSSolve - Steps the requested number of timesteps.
2683 
2684    Collective on TS
2685 
2686    Input Parameter:
2687 +  ts - the TS context obtained from TSCreate()
2688 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
2689 
2690    Level: beginner
2691 
2692    Notes:
2693    The final time returned by this function may be different from the time of the internally
2694    held state accessible by TSGetSolution() and TSGetTime() because the method may have
2695    stepped over the final time.
2696 
2697 .keywords: TS, timestep, solve
2698 
2699 .seealso: TSCreate(), TSSetSolution(), TSStep()
2700 @*/
2701 PetscErrorCode TSSolve(TS ts,Vec u)
2702 {
2703   Vec               solution;
2704   PetscErrorCode    ierr;
2705 
2706   PetscFunctionBegin;
2707   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2708   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2709   if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE) {   /* Need ts->vec_sol to be distinct so it is not overwritten when we interpolate at the end */
2710     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2711     if (!ts->vec_sol || u == ts->vec_sol) {
2712       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
2713       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
2714       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
2715     }
2716     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
2717   } else if (u) {
2718     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
2719   }
2720   ierr = TSSetUp(ts);CHKERRQ(ierr);
2721   /* reset time step and iteration counters */
2722   ts->steps             = 0;
2723   ts->ksp_its           = 0;
2724   ts->snes_its          = 0;
2725   ts->num_snes_failures = 0;
2726   ts->reject            = 0;
2727   ts->reason            = TS_CONVERGED_ITERATING;
2728 
2729   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
2730 
2731   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
2732     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
2733     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
2734     ts->solvetime = ts->ptime;
2735   } else {
2736     /* steps the requested number of timesteps. */
2737     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2738     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2739     while (!ts->reason) {
2740       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
2741       ierr = TSStep(ts);CHKERRQ(ierr);
2742       ierr = TSPostStep(ts);CHKERRQ(ierr);
2743     }
2744     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
2745       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
2746       ts->solvetime = ts->max_time;
2747       solution = u;
2748     } else {
2749       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
2750       ts->solvetime = ts->ptime;
2751       solution = ts->vec_sol;
2752     }
2753     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
2754   }
2755   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
2756   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
2757   PetscFunctionReturn(0);
2758 }
2759 
2760 #undef __FUNCT__
2761 #define __FUNCT__ "TSMonitor"
2762 /*@
2763    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
2764 
2765    Collective on TS
2766 
2767    Input Parameters:
2768 +  ts - time stepping context obtained from TSCreate()
2769 .  step - step number that has just completed
2770 .  ptime - model time of the state
2771 -  u - state at the current model time
2772 
2773    Notes:
2774    TSMonitor() is typically used within the time stepping implementations.
2775    Users might call this function when using the TSStep() interface instead of TSSolve().
2776 
2777    Level: advanced
2778 
2779 .keywords: TS, timestep
2780 @*/
2781 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
2782 {
2783   PetscErrorCode ierr;
2784   PetscInt       i,n = ts->numbermonitors;
2785 
2786   PetscFunctionBegin;
2787   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2788   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
2789   for (i=0; i<n; i++) {
2790     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
2791   }
2792   PetscFunctionReturn(0);
2793 }
2794 
2795 /* ------------------------------------------------------------------------*/
2796 #undef __FUNCT__
2797 #define __FUNCT__ "TSMonitorLGCtxCreate"
2798 /*@C
2799    TSMonitorLGCtxCreate - Creates a line graph context for use with
2800    TS to monitor the solution process graphically in various ways
2801 
2802    Collective on TS
2803 
2804    Input Parameters:
2805 +  host - the X display to open, or null for the local machine
2806 .  label - the title to put in the title bar
2807 .  x, y - the screen coordinates of the upper left coordinate of the window
2808 .  m, n - the screen width and height in pixels
2809 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
2810 
2811    Output Parameter:
2812 .  ctx - the context
2813 
2814    Options Database Key:
2815 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
2816 .  -ts_monitor_lg_solution -
2817 .  -ts_monitor_lg_error -
2818 .  -ts_monitor_lg_ksp_iterations -
2819 .  -ts_monitor_lg_snes_iterations -
2820 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
2821 
2822    Notes:
2823    Use TSMonitorLGCtxDestroy() to destroy.
2824 
2825    Level: intermediate
2826 
2827 .keywords: TS, monitor, line graph, residual, seealso
2828 
2829 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
2830 
2831 @*/
2832 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
2833 {
2834   PetscDraw      win;
2835   PetscErrorCode ierr;
2836 
2837   PetscFunctionBegin;
2838   ierr = PetscNew(ctx);CHKERRQ(ierr);
2839   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
2840   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
2841   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
2842   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
2843   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
2844   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
2845   (*ctx)->howoften = howoften;
2846   PetscFunctionReturn(0);
2847 }
2848 
2849 #undef __FUNCT__
2850 #define __FUNCT__ "TSMonitorLGTimeStep"
2851 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
2852 {
2853   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
2854   PetscReal      x   = ptime,y;
2855   PetscErrorCode ierr;
2856 
2857   PetscFunctionBegin;
2858   if (!step) {
2859     PetscDrawAxis axis;
2860     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
2861     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
2862     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
2863     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
2864   }
2865   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
2866   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
2867   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
2868     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
2869   }
2870   PetscFunctionReturn(0);
2871 }
2872 
2873 #undef __FUNCT__
2874 #define __FUNCT__ "TSMonitorLGCtxDestroy"
2875 /*@C
2876    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
2877    with TSMonitorLGCtxCreate().
2878 
2879    Collective on TSMonitorLGCtx
2880 
2881    Input Parameter:
2882 .  ctx - the monitor context
2883 
2884    Level: intermediate
2885 
2886 .keywords: TS, monitor, line graph, destroy
2887 
2888 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
2889 @*/
2890 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
2891 {
2892   PetscDraw      draw;
2893   PetscErrorCode ierr;
2894 
2895   PetscFunctionBegin;
2896   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
2897   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
2898   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
2899   ierr = PetscFree(*ctx);CHKERRQ(ierr);
2900   PetscFunctionReturn(0);
2901 }
2902 
2903 #undef __FUNCT__
2904 #define __FUNCT__ "TSGetTime"
2905 /*@
2906    TSGetTime - Gets the time of the most recently completed step.
2907 
2908    Not Collective
2909 
2910    Input Parameter:
2911 .  ts - the TS context obtained from TSCreate()
2912 
2913    Output Parameter:
2914 .  t  - the current time
2915 
2916    Level: beginner
2917 
2918    Note:
2919    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
2920    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
2921 
2922 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2923 
2924 .keywords: TS, get, time
2925 @*/
2926 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
2927 {
2928   PetscFunctionBegin;
2929   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2930   PetscValidRealPointer(t,2);
2931   *t = ts->ptime;
2932   PetscFunctionReturn(0);
2933 }
2934 
2935 #undef __FUNCT__
2936 #define __FUNCT__ "TSSetTime"
2937 /*@
2938    TSSetTime - Allows one to reset the time.
2939 
2940    Logically Collective on TS
2941 
2942    Input Parameters:
2943 +  ts - the TS context obtained from TSCreate()
2944 -  time - the time
2945 
2946    Level: intermediate
2947 
2948 .seealso: TSGetTime(), TSSetDuration()
2949 
2950 .keywords: TS, set, time
2951 @*/
2952 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
2953 {
2954   PetscFunctionBegin;
2955   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2956   PetscValidLogicalCollectiveReal(ts,t,2);
2957   ts->ptime = t;
2958   PetscFunctionReturn(0);
2959 }
2960 
2961 #undef __FUNCT__
2962 #define __FUNCT__ "TSSetOptionsPrefix"
2963 /*@C
2964    TSSetOptionsPrefix - Sets the prefix used for searching for all
2965    TS options in the database.
2966 
2967    Logically Collective on TS
2968 
2969    Input Parameter:
2970 +  ts     - The TS context
2971 -  prefix - The prefix to prepend to all option names
2972 
2973    Notes:
2974    A hyphen (-) must NOT be given at the beginning of the prefix name.
2975    The first character of all runtime options is AUTOMATICALLY the
2976    hyphen.
2977 
2978    Level: advanced
2979 
2980 .keywords: TS, set, options, prefix, database
2981 
2982 .seealso: TSSetFromOptions()
2983 
2984 @*/
2985 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
2986 {
2987   PetscErrorCode ierr;
2988   SNES           snes;
2989 
2990   PetscFunctionBegin;
2991   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2992   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
2993   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2994   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
2995   PetscFunctionReturn(0);
2996 }
2997 
2998 
2999 #undef __FUNCT__
3000 #define __FUNCT__ "TSAppendOptionsPrefix"
3001 /*@C
3002    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3003    TS options in the database.
3004 
3005    Logically Collective on TS
3006 
3007    Input Parameter:
3008 +  ts     - The TS context
3009 -  prefix - The prefix to prepend to all option names
3010 
3011    Notes:
3012    A hyphen (-) must NOT be given at the beginning of the prefix name.
3013    The first character of all runtime options is AUTOMATICALLY the
3014    hyphen.
3015 
3016    Level: advanced
3017 
3018 .keywords: TS, append, options, prefix, database
3019 
3020 .seealso: TSGetOptionsPrefix()
3021 
3022 @*/
3023 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3024 {
3025   PetscErrorCode ierr;
3026   SNES           snes;
3027 
3028   PetscFunctionBegin;
3029   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3030   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3031   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3032   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3033   PetscFunctionReturn(0);
3034 }
3035 
3036 #undef __FUNCT__
3037 #define __FUNCT__ "TSGetOptionsPrefix"
3038 /*@C
3039    TSGetOptionsPrefix - Sets the prefix used for searching for all
3040    TS options in the database.
3041 
3042    Not Collective
3043 
3044    Input Parameter:
3045 .  ts - The TS context
3046 
3047    Output Parameter:
3048 .  prefix - A pointer to the prefix string used
3049 
3050    Notes: On the fortran side, the user should pass in a string 'prifix' of
3051    sufficient length to hold the prefix.
3052 
3053    Level: intermediate
3054 
3055 .keywords: TS, get, options, prefix, database
3056 
3057 .seealso: TSAppendOptionsPrefix()
3058 @*/
3059 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3060 {
3061   PetscErrorCode ierr;
3062 
3063   PetscFunctionBegin;
3064   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3065   PetscValidPointer(prefix,2);
3066   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3067   PetscFunctionReturn(0);
3068 }
3069 
3070 #undef __FUNCT__
3071 #define __FUNCT__ "TSGetRHSJacobian"
3072 /*@C
3073    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3074 
3075    Not Collective, but parallel objects are returned if TS is parallel
3076 
3077    Input Parameter:
3078 .  ts  - The TS context obtained from TSCreate()
3079 
3080    Output Parameters:
3081 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3082 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3083 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3084 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3085 
3086    Notes: You can pass in NULL for any return argument you do not need.
3087 
3088    Level: intermediate
3089 
3090 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3091 
3092 .keywords: TS, timestep, get, matrix, Jacobian
3093 @*/
3094 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3095 {
3096   PetscErrorCode ierr;
3097   SNES           snes;
3098   DM             dm;
3099 
3100   PetscFunctionBegin;
3101   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3102   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3103   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3104   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3105   PetscFunctionReturn(0);
3106 }
3107 
3108 #undef __FUNCT__
3109 #define __FUNCT__ "TSGetIJacobian"
3110 /*@C
3111    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3112 
3113    Not Collective, but parallel objects are returned if TS is parallel
3114 
3115    Input Parameter:
3116 .  ts  - The TS context obtained from TSCreate()
3117 
3118    Output Parameters:
3119 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3120 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3121 .  f   - The function to compute the matrices
3122 - ctx - User-defined context for Jacobian evaluation routine
3123 
3124    Notes: You can pass in NULL for any return argument you do not need.
3125 
3126    Level: advanced
3127 
3128 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3129 
3130 .keywords: TS, timestep, get, matrix, Jacobian
3131 @*/
3132 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3133 {
3134   PetscErrorCode ierr;
3135   SNES           snes;
3136   DM             dm;
3137 
3138   PetscFunctionBegin;
3139   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3140   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3141   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3142   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3143   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3144   PetscFunctionReturn(0);
3145 }
3146 
3147 
3148 #undef __FUNCT__
3149 #define __FUNCT__ "TSMonitorDrawSolution"
3150 /*@C
3151    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3152    VecView() for the solution at each timestep
3153 
3154    Collective on TS
3155 
3156    Input Parameters:
3157 +  ts - the TS context
3158 .  step - current time-step
3159 .  ptime - current time
3160 -  dummy - either a viewer or NULL
3161 
3162    Options Database:
3163 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3164 
3165    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3166        will look bad
3167 
3168    Level: intermediate
3169 
3170 .keywords: TS,  vector, monitor, view
3171 
3172 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3173 @*/
3174 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3175 {
3176   PetscErrorCode   ierr;
3177   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3178   PetscDraw        draw;
3179 
3180   PetscFunctionBegin;
3181   if (!step && ictx->showinitial) {
3182     if (!ictx->initialsolution) {
3183       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3184     }
3185     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3186   }
3187   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3188 
3189   if (ictx->showinitial) {
3190     PetscReal pause;
3191     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3192     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3193     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3194     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3195     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3196   }
3197   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3198   if (ictx->showtimestepandtime) {
3199     PetscReal xl,yl,xr,yr,tw,w,h;
3200     char      time[32];
3201     size_t    len;
3202 
3203     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3204     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3205     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3206     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3207     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3208     w    = xl + .5*(xr - xl) - .5*len*tw;
3209     h    = yl + .95*(yr - yl);
3210     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3211     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3212   }
3213 
3214   if (ictx->showinitial) {
3215     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3216   }
3217   PetscFunctionReturn(0);
3218 }
3219 
3220 #undef __FUNCT__
3221 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3222 /*@C
3223    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3224 
3225    Collective on TS
3226 
3227    Input Parameters:
3228 +  ts - the TS context
3229 .  step - current time-step
3230 .  ptime - current time
3231 -  dummy - either a viewer or NULL
3232 
3233    Level: intermediate
3234 
3235 .keywords: TS,  vector, monitor, view
3236 
3237 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3238 @*/
3239 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3240 {
3241   PetscErrorCode    ierr;
3242   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3243   PetscDraw         draw;
3244   MPI_Comm          comm;
3245   PetscInt          n;
3246   PetscMPIInt       size;
3247   PetscReal         xl,yl,xr,yr,tw,w,h;
3248   char              time[32];
3249   size_t            len;
3250   const PetscScalar *U;
3251 
3252   PetscFunctionBegin;
3253   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3254   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3255   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3256   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3257   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3258 
3259   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3260 
3261   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3262   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3263   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3264       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3265       PetscFunctionReturn(0);
3266   }
3267   if (!step) ictx->color++;
3268   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3269   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3270 
3271   if (ictx->showtimestepandtime) {
3272     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3273     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3274     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3275     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3276     w    = xl + .5*(xr - xl) - .5*len*tw;
3277     h    = yl + .95*(yr - yl);
3278     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3279   }
3280   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3281   PetscFunctionReturn(0);
3282 }
3283 
3284 
3285 #undef __FUNCT__
3286 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3287 /*@C
3288    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3289 
3290    Collective on TS
3291 
3292    Input Parameters:
3293 .    ctx - the monitor context
3294 
3295    Level: intermediate
3296 
3297 .keywords: TS,  vector, monitor, view
3298 
3299 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3300 @*/
3301 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3302 {
3303   PetscErrorCode ierr;
3304 
3305   PetscFunctionBegin;
3306   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3307   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3308   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3309   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3310   PetscFunctionReturn(0);
3311 }
3312 
3313 #undef __FUNCT__
3314 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3315 /*@C
3316    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3317 
3318    Collective on TS
3319 
3320    Input Parameter:
3321 .    ts - time-step context
3322 
3323    Output Patameter:
3324 .    ctx - the monitor context
3325 
3326    Options Database:
3327 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3328 
3329    Level: intermediate
3330 
3331 .keywords: TS,  vector, monitor, view
3332 
3333 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3334 @*/
3335 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3336 {
3337   PetscErrorCode   ierr;
3338 
3339   PetscFunctionBegin;
3340   ierr = PetscNew(ctx);CHKERRQ(ierr);
3341   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3342   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3343 
3344   (*ctx)->howoften    = howoften;
3345   (*ctx)->showinitial = PETSC_FALSE;
3346   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3347 
3348   (*ctx)->showtimestepandtime = PETSC_FALSE;
3349   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3350   (*ctx)->color = PETSC_DRAW_WHITE;
3351   PetscFunctionReturn(0);
3352 }
3353 
3354 #undef __FUNCT__
3355 #define __FUNCT__ "TSMonitorDrawError"
3356 /*@C
3357    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3358    VecView() for the error at each timestep
3359 
3360    Collective on TS
3361 
3362    Input Parameters:
3363 +  ts - the TS context
3364 .  step - current time-step
3365 .  ptime - current time
3366 -  dummy - either a viewer or NULL
3367 
3368    Level: intermediate
3369 
3370 .keywords: TS,  vector, monitor, view
3371 
3372 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3373 @*/
3374 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3375 {
3376   PetscErrorCode   ierr;
3377   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3378   PetscViewer      viewer = ctx->viewer;
3379   Vec              work;
3380 
3381   PetscFunctionBegin;
3382   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3383   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3384   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3385   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3386   ierr = VecView(work,viewer);CHKERRQ(ierr);
3387   ierr = VecDestroy(&work);CHKERRQ(ierr);
3388   PetscFunctionReturn(0);
3389 }
3390 
3391 #include <petsc-private/dmimpl.h>
3392 #undef __FUNCT__
3393 #define __FUNCT__ "TSSetDM"
3394 /*@
3395    TSSetDM - Sets the DM that may be used by some preconditioners
3396 
3397    Logically Collective on TS and DM
3398 
3399    Input Parameters:
3400 +  ts - the preconditioner context
3401 -  dm - the dm
3402 
3403    Level: intermediate
3404 
3405 
3406 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3407 @*/
3408 PetscErrorCode  TSSetDM(TS ts,DM dm)
3409 {
3410   PetscErrorCode ierr;
3411   SNES           snes;
3412   DMTS           tsdm;
3413 
3414   PetscFunctionBegin;
3415   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3416   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3417   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3418     if (ts->dm->dmts && !dm->dmts) {
3419       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
3420       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
3421       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
3422         tsdm->originaldm = dm;
3423       }
3424     }
3425     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
3426   }
3427   ts->dm = dm;
3428 
3429   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3430   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
3431   PetscFunctionReturn(0);
3432 }
3433 
3434 #undef __FUNCT__
3435 #define __FUNCT__ "TSGetDM"
3436 /*@
3437    TSGetDM - Gets the DM that may be used by some preconditioners
3438 
3439    Not Collective
3440 
3441    Input Parameter:
3442 . ts - the preconditioner context
3443 
3444    Output Parameter:
3445 .  dm - the dm
3446 
3447    Level: intermediate
3448 
3449 
3450 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
3451 @*/
3452 PetscErrorCode  TSGetDM(TS ts,DM *dm)
3453 {
3454   PetscErrorCode ierr;
3455 
3456   PetscFunctionBegin;
3457   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3458   if (!ts->dm) {
3459     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
3460     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
3461   }
3462   *dm = ts->dm;
3463   PetscFunctionReturn(0);
3464 }
3465 
3466 #undef __FUNCT__
3467 #define __FUNCT__ "SNESTSFormFunction"
3468 /*@
3469    SNESTSFormFunction - Function to evaluate nonlinear residual
3470 
3471    Logically Collective on SNES
3472 
3473    Input Parameter:
3474 + snes - nonlinear solver
3475 . U - the current state at which to evaluate the residual
3476 - ctx - user context, must be a TS
3477 
3478    Output Parameter:
3479 . F - the nonlinear residual
3480 
3481    Notes:
3482    This function is not normally called by users and is automatically registered with the SNES used by TS.
3483    It is most frequently passed to MatFDColoringSetFunction().
3484 
3485    Level: advanced
3486 
3487 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
3488 @*/
3489 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
3490 {
3491   TS             ts = (TS)ctx;
3492   PetscErrorCode ierr;
3493 
3494   PetscFunctionBegin;
3495   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3496   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3497   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
3498   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
3499   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
3500   PetscFunctionReturn(0);
3501 }
3502 
3503 #undef __FUNCT__
3504 #define __FUNCT__ "SNESTSFormJacobian"
3505 /*@
3506    SNESTSFormJacobian - Function to evaluate the Jacobian
3507 
3508    Collective on SNES
3509 
3510    Input Parameter:
3511 + snes - nonlinear solver
3512 . U - the current state at which to evaluate the residual
3513 - ctx - user context, must be a TS
3514 
3515    Output Parameter:
3516 + A - the Jacobian
3517 . B - the preconditioning matrix (may be the same as A)
3518 - flag - indicates any structure change in the matrix
3519 
3520    Notes:
3521    This function is not normally called by users and is automatically registered with the SNES used by TS.
3522 
3523    Level: developer
3524 
3525 .seealso: SNESSetJacobian()
3526 @*/
3527 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat *A,Mat *B,MatStructure *flag,void *ctx)
3528 {
3529   TS             ts = (TS)ctx;
3530   PetscErrorCode ierr;
3531 
3532   PetscFunctionBegin;
3533   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3534   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3535   PetscValidPointer(A,3);
3536   PetscValidHeaderSpecific(*A,MAT_CLASSID,3);
3537   PetscValidPointer(B,4);
3538   PetscValidHeaderSpecific(*B,MAT_CLASSID,4);
3539   PetscValidPointer(flag,5);
3540   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
3541   ierr = (ts->ops->snesjacobian)(snes,U,A,B,flag,ts);CHKERRQ(ierr);
3542   PetscFunctionReturn(0);
3543 }
3544 
3545 #undef __FUNCT__
3546 #define __FUNCT__ "TSComputeRHSFunctionLinear"
3547 /*@C
3548    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
3549 
3550    Collective on TS
3551 
3552    Input Arguments:
3553 +  ts - time stepping context
3554 .  t - time at which to evaluate
3555 .  U - state at which to evaluate
3556 -  ctx - context
3557 
3558    Output Arguments:
3559 .  F - right hand side
3560 
3561    Level: intermediate
3562 
3563    Notes:
3564    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
3565    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
3566 
3567 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
3568 @*/
3569 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
3570 {
3571   PetscErrorCode ierr;
3572   Mat            Arhs,Brhs;
3573   MatStructure   flg2;
3574 
3575   PetscFunctionBegin;
3576   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
3577   ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
3578   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
3579   PetscFunctionReturn(0);
3580 }
3581 
3582 #undef __FUNCT__
3583 #define __FUNCT__ "TSComputeRHSJacobianConstant"
3584 /*@C
3585    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
3586 
3587    Collective on TS
3588 
3589    Input Arguments:
3590 +  ts - time stepping context
3591 .  t - time at which to evaluate
3592 .  U - state at which to evaluate
3593 -  ctx - context
3594 
3595    Output Arguments:
3596 +  A - pointer to operator
3597 .  B - pointer to preconditioning matrix
3598 -  flg - matrix structure flag
3599 
3600    Level: intermediate
3601 
3602    Notes:
3603    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
3604 
3605 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
3606 @*/
3607 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3608 {
3609   PetscFunctionBegin;
3610   *flg = SAME_PRECONDITIONER;
3611   PetscFunctionReturn(0);
3612 }
3613 
3614 #undef __FUNCT__
3615 #define __FUNCT__ "TSComputeIFunctionLinear"
3616 /*@C
3617    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
3618 
3619    Collective on TS
3620 
3621    Input Arguments:
3622 +  ts - time stepping context
3623 .  t - time at which to evaluate
3624 .  U - state at which to evaluate
3625 .  Udot - time derivative of state vector
3626 -  ctx - context
3627 
3628    Output Arguments:
3629 .  F - left hand side
3630 
3631    Level: intermediate
3632 
3633    Notes:
3634    The assumption here is that the left hand side is of the form A*Udot (and not A*Udot + B*U). For other cases, the
3635    user is required to write their own TSComputeIFunction.
3636    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
3637    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
3638 
3639 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
3640 @*/
3641 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
3642 {
3643   PetscErrorCode ierr;
3644   Mat            A,B;
3645   MatStructure   flg2;
3646 
3647   PetscFunctionBegin;
3648   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
3649   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,&A,&B,&flg2,PETSC_TRUE);CHKERRQ(ierr);
3650   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
3651   PetscFunctionReturn(0);
3652 }
3653 
3654 #undef __FUNCT__
3655 #define __FUNCT__ "TSComputeIJacobianConstant"
3656 /*@C
3657    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
3658 
3659    Collective on TS
3660 
3661    Input Arguments:
3662 +  ts - time stepping context
3663 .  t - time at which to evaluate
3664 .  U - state at which to evaluate
3665 .  Udot - time derivative of state vector
3666 .  shift - shift to apply
3667 -  ctx - context
3668 
3669    Output Arguments:
3670 +  A - pointer to operator
3671 .  B - pointer to preconditioning matrix
3672 -  flg - matrix structure flag
3673 
3674    Level: advanced
3675 
3676    Notes:
3677    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
3678 
3679    It is only appropriate for problems of the form
3680 
3681 $     M Udot = F(U,t)
3682 
3683   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
3684   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
3685   an implicit operator of the form
3686 
3687 $    shift*M + J
3688 
3689   where J is the Jacobian of -F(U).  Support may be added in a future version of PETSc, but for now, the user must store
3690   a copy of M or reassemble it when requested.
3691 
3692 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
3693 @*/
3694 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3695 {
3696   PetscErrorCode ierr;
3697 
3698   PetscFunctionBegin;
3699   ierr = MatScale(*A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
3700   ts->ijacobian.shift = shift;
3701   *flg = SAME_PRECONDITIONER;
3702   PetscFunctionReturn(0);
3703 }
3704 
3705 #undef __FUNCT__
3706 #define __FUNCT__ "TSGetEquationType"
3707 /*@
3708    TSGetEquationType - Gets the type of the equation that TS is solving.
3709 
3710    Not Collective
3711 
3712    Input Parameter:
3713 .  ts - the TS context
3714 
3715    Output Parameter:
3716 .  equation_type - see TSEquationType
3717 
3718    Level: beginner
3719 
3720 .keywords: TS, equation type
3721 
3722 .seealso: TSSetEquationType(), TSEquationType
3723 @*/
3724 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
3725 {
3726   PetscFunctionBegin;
3727   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3728   PetscValidPointer(equation_type,2);
3729   *equation_type = ts->equation_type;
3730   PetscFunctionReturn(0);
3731 }
3732 
3733 #undef __FUNCT__
3734 #define __FUNCT__ "TSSetEquationType"
3735 /*@
3736    TSSetEquationType - Sets the type of the equation that TS is solving.
3737 
3738    Not Collective
3739 
3740    Input Parameter:
3741 +  ts - the TS context
3742 .  equation_type - see TSEquationType
3743 
3744    Level: advanced
3745 
3746 .keywords: TS, equation type
3747 
3748 .seealso: TSGetEquationType(), TSEquationType
3749 @*/
3750 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
3751 {
3752   PetscFunctionBegin;
3753   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3754   ts->equation_type = equation_type;
3755   PetscFunctionReturn(0);
3756 }
3757 
3758 #undef __FUNCT__
3759 #define __FUNCT__ "TSGetConvergedReason"
3760 /*@
3761    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
3762 
3763    Not Collective
3764 
3765    Input Parameter:
3766 .  ts - the TS context
3767 
3768    Output Parameter:
3769 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3770             manual pages for the individual convergence tests for complete lists
3771 
3772    Level: beginner
3773 
3774    Notes:
3775    Can only be called after the call to TSSolve() is complete.
3776 
3777 .keywords: TS, nonlinear, set, convergence, test
3778 
3779 .seealso: TSSetConvergenceTest(), TSConvergedReason
3780 @*/
3781 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
3782 {
3783   PetscFunctionBegin;
3784   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3785   PetscValidPointer(reason,2);
3786   *reason = ts->reason;
3787   PetscFunctionReturn(0);
3788 }
3789 
3790 #undef __FUNCT__
3791 #define __FUNCT__ "TSSetConvergedReason"
3792 /*@
3793    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
3794 
3795    Not Collective
3796 
3797    Input Parameter:
3798 +  ts - the TS context
3799 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3800             manual pages for the individual convergence tests for complete lists
3801 
3802    Level: advanced
3803 
3804    Notes:
3805    Can only be called during TSSolve() is active.
3806 
3807 .keywords: TS, nonlinear, set, convergence, test
3808 
3809 .seealso: TSConvergedReason
3810 @*/
3811 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
3812 {
3813   PetscFunctionBegin;
3814   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3815   ts->reason = reason;
3816   PetscFunctionReturn(0);
3817 }
3818 
3819 #undef __FUNCT__
3820 #define __FUNCT__ "TSGetSolveTime"
3821 /*@
3822    TSGetSolveTime - Gets the time after a call to TSSolve()
3823 
3824    Not Collective
3825 
3826    Input Parameter:
3827 .  ts - the TS context
3828 
3829    Output Parameter:
3830 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
3831 
3832    Level: beginner
3833 
3834    Notes:
3835    Can only be called after the call to TSSolve() is complete.
3836 
3837 .keywords: TS, nonlinear, set, convergence, test
3838 
3839 .seealso: TSSetConvergenceTest(), TSConvergedReason
3840 @*/
3841 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
3842 {
3843   PetscFunctionBegin;
3844   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3845   PetscValidPointer(ftime,2);
3846   *ftime = ts->solvetime;
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 #undef __FUNCT__
3851 #define __FUNCT__ "TSGetSNESIterations"
3852 /*@
3853    TSGetSNESIterations - Gets the total number of nonlinear iterations
3854    used by the time integrator.
3855 
3856    Not Collective
3857 
3858    Input Parameter:
3859 .  ts - TS context
3860 
3861    Output Parameter:
3862 .  nits - number of nonlinear iterations
3863 
3864    Notes:
3865    This counter is reset to zero for each successive call to TSSolve().
3866 
3867    Level: intermediate
3868 
3869 .keywords: TS, get, number, nonlinear, iterations
3870 
3871 .seealso:  TSGetKSPIterations()
3872 @*/
3873 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
3874 {
3875   PetscFunctionBegin;
3876   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3877   PetscValidIntPointer(nits,2);
3878   *nits = ts->snes_its;
3879   PetscFunctionReturn(0);
3880 }
3881 
3882 #undef __FUNCT__
3883 #define __FUNCT__ "TSGetKSPIterations"
3884 /*@
3885    TSGetKSPIterations - Gets the total number of linear iterations
3886    used by the time integrator.
3887 
3888    Not Collective
3889 
3890    Input Parameter:
3891 .  ts - TS context
3892 
3893    Output Parameter:
3894 .  lits - number of linear iterations
3895 
3896    Notes:
3897    This counter is reset to zero for each successive call to TSSolve().
3898 
3899    Level: intermediate
3900 
3901 .keywords: TS, get, number, linear, iterations
3902 
3903 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
3904 @*/
3905 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
3906 {
3907   PetscFunctionBegin;
3908   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3909   PetscValidIntPointer(lits,2);
3910   *lits = ts->ksp_its;
3911   PetscFunctionReturn(0);
3912 }
3913 
3914 #undef __FUNCT__
3915 #define __FUNCT__ "TSGetStepRejections"
3916 /*@
3917    TSGetStepRejections - Gets the total number of rejected steps.
3918 
3919    Not Collective
3920 
3921    Input Parameter:
3922 .  ts - TS context
3923 
3924    Output Parameter:
3925 .  rejects - number of steps rejected
3926 
3927    Notes:
3928    This counter is reset to zero for each successive call to TSSolve().
3929 
3930    Level: intermediate
3931 
3932 .keywords: TS, get, number
3933 
3934 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
3935 @*/
3936 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
3937 {
3938   PetscFunctionBegin;
3939   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3940   PetscValidIntPointer(rejects,2);
3941   *rejects = ts->reject;
3942   PetscFunctionReturn(0);
3943 }
3944 
3945 #undef __FUNCT__
3946 #define __FUNCT__ "TSGetSNESFailures"
3947 /*@
3948    TSGetSNESFailures - Gets the total number of failed SNES solves
3949 
3950    Not Collective
3951 
3952    Input Parameter:
3953 .  ts - TS context
3954 
3955    Output Parameter:
3956 .  fails - number of failed nonlinear solves
3957 
3958    Notes:
3959    This counter is reset to zero for each successive call to TSSolve().
3960 
3961    Level: intermediate
3962 
3963 .keywords: TS, get, number
3964 
3965 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
3966 @*/
3967 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
3968 {
3969   PetscFunctionBegin;
3970   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3971   PetscValidIntPointer(fails,2);
3972   *fails = ts->num_snes_failures;
3973   PetscFunctionReturn(0);
3974 }
3975 
3976 #undef __FUNCT__
3977 #define __FUNCT__ "TSSetMaxStepRejections"
3978 /*@
3979    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
3980 
3981    Not Collective
3982 
3983    Input Parameter:
3984 +  ts - TS context
3985 -  rejects - maximum number of rejected steps, pass -1 for unlimited
3986 
3987    Notes:
3988    The counter is reset to zero for each step
3989 
3990    Options Database Key:
3991  .  -ts_max_reject - Maximum number of step rejections before a step fails
3992 
3993    Level: intermediate
3994 
3995 .keywords: TS, set, maximum, number
3996 
3997 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
3998 @*/
3999 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4000 {
4001   PetscFunctionBegin;
4002   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4003   ts->max_reject = rejects;
4004   PetscFunctionReturn(0);
4005 }
4006 
4007 #undef __FUNCT__
4008 #define __FUNCT__ "TSSetMaxSNESFailures"
4009 /*@
4010    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4011 
4012    Not Collective
4013 
4014    Input Parameter:
4015 +  ts - TS context
4016 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4017 
4018    Notes:
4019    The counter is reset to zero for each successive call to TSSolve().
4020 
4021    Options Database Key:
4022  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4023 
4024    Level: intermediate
4025 
4026 .keywords: TS, set, maximum, number
4027 
4028 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4029 @*/
4030 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4031 {
4032   PetscFunctionBegin;
4033   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4034   ts->max_snes_failures = fails;
4035   PetscFunctionReturn(0);
4036 }
4037 
4038 #undef __FUNCT__
4039 #define __FUNCT__ "TSSetErrorIfStepFails"
4040 /*@
4041    TSSetErrorIfStepFails - Error if no step succeeds
4042 
4043    Not Collective
4044 
4045    Input Parameter:
4046 +  ts - TS context
4047 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4048 
4049    Options Database Key:
4050  .  -ts_error_if_step_fails - Error if no step succeeds
4051 
4052    Level: intermediate
4053 
4054 .keywords: TS, set, error
4055 
4056 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4057 @*/
4058 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4059 {
4060   PetscFunctionBegin;
4061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4062   ts->errorifstepfailed = err;
4063   PetscFunctionReturn(0);
4064 }
4065 
4066 #undef __FUNCT__
4067 #define __FUNCT__ "TSMonitorSolutionBinary"
4068 /*@C
4069    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4070 
4071    Collective on TS
4072 
4073    Input Parameters:
4074 +  ts - the TS context
4075 .  step - current time-step
4076 .  ptime - current time
4077 .  u - current state
4078 -  viewer - binary viewer
4079 
4080    Level: intermediate
4081 
4082 .keywords: TS,  vector, monitor, view
4083 
4084 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4085 @*/
4086 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4087 {
4088   PetscErrorCode ierr;
4089   PetscViewer    v = (PetscViewer)viewer;
4090 
4091   PetscFunctionBegin;
4092   ierr = VecView(u,v);CHKERRQ(ierr);
4093   PetscFunctionReturn(0);
4094 }
4095 
4096 #undef __FUNCT__
4097 #define __FUNCT__ "TSMonitorSolutionVTK"
4098 /*@C
4099    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4100 
4101    Collective on TS
4102 
4103    Input Parameters:
4104 +  ts - the TS context
4105 .  step - current time-step
4106 .  ptime - current time
4107 .  u - current state
4108 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4109 
4110    Level: intermediate
4111 
4112    Notes:
4113    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.
4114    These are named according to the file name template.
4115 
4116    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4117 
4118 .keywords: TS,  vector, monitor, view
4119 
4120 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4121 @*/
4122 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4123 {
4124   PetscErrorCode ierr;
4125   char           filename[PETSC_MAX_PATH_LEN];
4126   PetscViewer    viewer;
4127 
4128   PetscFunctionBegin;
4129   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4130   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4131   ierr = VecView(u,viewer);CHKERRQ(ierr);
4132   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4133   PetscFunctionReturn(0);
4134 }
4135 
4136 #undef __FUNCT__
4137 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4138 /*@C
4139    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4140 
4141    Collective on TS
4142 
4143    Input Parameters:
4144 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4145 
4146    Level: intermediate
4147 
4148    Note:
4149    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4150 
4151 .keywords: TS,  vector, monitor, view
4152 
4153 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4154 @*/
4155 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4156 {
4157   PetscErrorCode ierr;
4158 
4159   PetscFunctionBegin;
4160   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4161   PetscFunctionReturn(0);
4162 }
4163 
4164 #undef __FUNCT__
4165 #define __FUNCT__ "TSGetAdapt"
4166 /*@
4167    TSGetAdapt - Get the adaptive controller context for the current method
4168 
4169    Collective on TS if controller has not been created yet
4170 
4171    Input Arguments:
4172 .  ts - time stepping context
4173 
4174    Output Arguments:
4175 .  adapt - adaptive controller
4176 
4177    Level: intermediate
4178 
4179 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4180 @*/
4181 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4182 {
4183   PetscErrorCode ierr;
4184 
4185   PetscFunctionBegin;
4186   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4187   PetscValidPointer(adapt,2);
4188   if (!ts->adapt) {
4189     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4190     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4191     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4192   }
4193   *adapt = ts->adapt;
4194   PetscFunctionReturn(0);
4195 }
4196 
4197 #undef __FUNCT__
4198 #define __FUNCT__ "TSSetTolerances"
4199 /*@
4200    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4201 
4202    Logically Collective
4203 
4204    Input Arguments:
4205 +  ts - time integration context
4206 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4207 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4208 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4209 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4210 
4211    Level: beginner
4212 
4213 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4214 @*/
4215 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4216 {
4217   PetscErrorCode ierr;
4218 
4219   PetscFunctionBegin;
4220   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4221   if (vatol) {
4222     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4223     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4224 
4225     ts->vatol = vatol;
4226   }
4227   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4228   if (vrtol) {
4229     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4230     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4231 
4232     ts->vrtol = vrtol;
4233   }
4234   PetscFunctionReturn(0);
4235 }
4236 
4237 #undef __FUNCT__
4238 #define __FUNCT__ "TSGetTolerances"
4239 /*@
4240    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4241 
4242    Logically Collective
4243 
4244    Input Arguments:
4245 .  ts - time integration context
4246 
4247    Output Arguments:
4248 +  atol - scalar absolute tolerances, NULL to ignore
4249 .  vatol - vector of absolute tolerances, NULL to ignore
4250 .  rtol - scalar relative tolerances, NULL to ignore
4251 -  vrtol - vector of relative tolerances, NULL to ignore
4252 
4253    Level: beginner
4254 
4255 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4256 @*/
4257 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4258 {
4259   PetscFunctionBegin;
4260   if (atol)  *atol  = ts->atol;
4261   if (vatol) *vatol = ts->vatol;
4262   if (rtol)  *rtol  = ts->rtol;
4263   if (vrtol) *vrtol = ts->vrtol;
4264   PetscFunctionReturn(0);
4265 }
4266 
4267 #undef __FUNCT__
4268 #define __FUNCT__ "TSErrorNormWRMS"
4269 /*@
4270    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4271 
4272    Collective on TS
4273 
4274    Input Arguments:
4275 +  ts - time stepping context
4276 -  Y - state vector to be compared to ts->vec_sol
4277 
4278    Output Arguments:
4279 .  norm - weighted norm, a value of 1.0 is considered small
4280 
4281    Level: developer
4282 
4283 .seealso: TSSetTolerances()
4284 @*/
4285 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4286 {
4287   PetscErrorCode    ierr;
4288   PetscInt          i,n,N;
4289   const PetscScalar *u,*y;
4290   Vec               U;
4291   PetscReal         sum,gsum;
4292 
4293   PetscFunctionBegin;
4294   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4295   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4296   PetscValidPointer(norm,3);
4297   U = ts->vec_sol;
4298   PetscCheckSameTypeAndComm(U,1,Y,2);
4299   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4300 
4301   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4302   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4303   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4304   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4305   sum  = 0.;
4306   if (ts->vatol && ts->vrtol) {
4307     const PetscScalar *atol,*rtol;
4308     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4309     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4310     for (i=0; i<n; i++) {
4311       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4312       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4313     }
4314     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4315     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4316   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4317     const PetscScalar *atol;
4318     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4319     for (i=0; i<n; i++) {
4320       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4321       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4322     }
4323     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4324   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4325     const PetscScalar *rtol;
4326     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4327     for (i=0; i<n; i++) {
4328       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4329       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4330     }
4331     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4332   } else {                      /* scalar atol, scalar rtol */
4333     for (i=0; i<n; i++) {
4334       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4335       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4336     }
4337   }
4338   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4339   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4340 
4341   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4342   *norm = PetscSqrtReal(gsum / N);
4343   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4344   PetscFunctionReturn(0);
4345 }
4346 
4347 #undef __FUNCT__
4348 #define __FUNCT__ "TSSetCFLTimeLocal"
4349 /*@
4350    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4351 
4352    Logically Collective on TS
4353 
4354    Input Arguments:
4355 +  ts - time stepping context
4356 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4357 
4358    Note:
4359    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4360 
4361    Level: intermediate
4362 
4363 .seealso: TSGetCFLTime(), TSADAPTCFL
4364 @*/
4365 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4366 {
4367   PetscFunctionBegin;
4368   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4369   ts->cfltime_local = cfltime;
4370   ts->cfltime       = -1.;
4371   PetscFunctionReturn(0);
4372 }
4373 
4374 #undef __FUNCT__
4375 #define __FUNCT__ "TSGetCFLTime"
4376 /*@
4377    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4378 
4379    Collective on TS
4380 
4381    Input Arguments:
4382 .  ts - time stepping context
4383 
4384    Output Arguments:
4385 .  cfltime - maximum stable time step for forward Euler
4386 
4387    Level: advanced
4388 
4389 .seealso: TSSetCFLTimeLocal()
4390 @*/
4391 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4392 {
4393   PetscErrorCode ierr;
4394 
4395   PetscFunctionBegin;
4396   if (ts->cfltime < 0) {
4397     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4398   }
4399   *cfltime = ts->cfltime;
4400   PetscFunctionReturn(0);
4401 }
4402 
4403 #undef __FUNCT__
4404 #define __FUNCT__ "TSVISetVariableBounds"
4405 /*@
4406    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4407 
4408    Input Parameters:
4409 .  ts   - the TS context.
4410 .  xl   - lower bound.
4411 .  xu   - upper bound.
4412 
4413    Notes:
4414    If this routine is not called then the lower and upper bounds are set to
4415    SNES_VI_NINF and SNES_VI_INF respectively during SNESSetUp().
4416 
4417    Level: advanced
4418 
4419 @*/
4420 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
4421 {
4422   PetscErrorCode ierr;
4423   SNES           snes;
4424 
4425   PetscFunctionBegin;
4426   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4427   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
4428   PetscFunctionReturn(0);
4429 }
4430 
4431 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4432 #include <mex.h>
4433 
4434 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
4435 
4436 #undef __FUNCT__
4437 #define __FUNCT__ "TSComputeFunction_Matlab"
4438 /*
4439    TSComputeFunction_Matlab - Calls the function that has been set with
4440                          TSSetFunctionMatlab().
4441 
4442    Collective on TS
4443 
4444    Input Parameters:
4445 +  snes - the TS context
4446 -  u - input vector
4447 
4448    Output Parameter:
4449 .  y - function vector, as set by TSSetFunction()
4450 
4451    Notes:
4452    TSComputeFunction() is typically used within nonlinear solvers
4453    implementations, so most users would not generally call this routine
4454    themselves.
4455 
4456    Level: developer
4457 
4458 .keywords: TS, nonlinear, compute, function
4459 
4460 .seealso: TSSetFunction(), TSGetFunction()
4461 */
4462 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
4463 {
4464   PetscErrorCode  ierr;
4465   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4466   int             nlhs  = 1,nrhs = 7;
4467   mxArray         *plhs[1],*prhs[7];
4468   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
4469 
4470   PetscFunctionBegin;
4471   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
4472   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4473   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
4474   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
4475   PetscCheckSameComm(snes,1,u,3);
4476   PetscCheckSameComm(snes,1,y,5);
4477 
4478   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4479   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4480   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
4481   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
4482 
4483   prhs[0] =  mxCreateDoubleScalar((double)ls);
4484   prhs[1] =  mxCreateDoubleScalar(time);
4485   prhs[2] =  mxCreateDoubleScalar((double)lx);
4486   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4487   prhs[4] =  mxCreateDoubleScalar((double)ly);
4488   prhs[5] =  mxCreateString(sctx->funcname);
4489   prhs[6] =  sctx->ctx;
4490   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
4491   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4492   mxDestroyArray(prhs[0]);
4493   mxDestroyArray(prhs[1]);
4494   mxDestroyArray(prhs[2]);
4495   mxDestroyArray(prhs[3]);
4496   mxDestroyArray(prhs[4]);
4497   mxDestroyArray(prhs[5]);
4498   mxDestroyArray(plhs[0]);
4499   PetscFunctionReturn(0);
4500 }
4501 
4502 
4503 #undef __FUNCT__
4504 #define __FUNCT__ "TSSetFunctionMatlab"
4505 /*
4506    TSSetFunctionMatlab - Sets the function evaluation routine and function
4507    vector for use by the TS routines in solving ODEs
4508    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4509 
4510    Logically Collective on TS
4511 
4512    Input Parameters:
4513 +  ts - the TS context
4514 -  func - function evaluation routine
4515 
4516    Calling sequence of func:
4517 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
4518 
4519    Level: beginner
4520 
4521 .keywords: TS, nonlinear, set, function
4522 
4523 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4524 */
4525 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
4526 {
4527   PetscErrorCode  ierr;
4528   TSMatlabContext *sctx;
4529 
4530   PetscFunctionBegin;
4531   /* currently sctx is memory bleed */
4532   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4533   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4534   /*
4535      This should work, but it doesn't
4536   sctx->ctx = ctx;
4537   mexMakeArrayPersistent(sctx->ctx);
4538   */
4539   sctx->ctx = mxDuplicateArray(ctx);
4540 
4541   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4542   PetscFunctionReturn(0);
4543 }
4544 
4545 #undef __FUNCT__
4546 #define __FUNCT__ "TSComputeJacobian_Matlab"
4547 /*
4548    TSComputeJacobian_Matlab - Calls the function that has been set with
4549                          TSSetJacobianMatlab().
4550 
4551    Collective on TS
4552 
4553    Input Parameters:
4554 +  ts - the TS context
4555 .  u - input vector
4556 .  A, B - the matrices
4557 -  ctx - user context
4558 
4559    Output Parameter:
4560 .  flag - structure of the matrix
4561 
4562    Level: developer
4563 
4564 .keywords: TS, nonlinear, compute, function
4565 
4566 .seealso: TSSetFunction(), TSGetFunction()
4567 @*/
4568 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flag, void *ctx)
4569 {
4570   PetscErrorCode  ierr;
4571   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4572   int             nlhs  = 2,nrhs = 9;
4573   mxArray         *plhs[2],*prhs[9];
4574   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
4575 
4576   PetscFunctionBegin;
4577   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4578   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4579 
4580   /* call Matlab function in ctx with arguments u and y */
4581 
4582   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4583   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4584   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
4585   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
4586   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
4587 
4588   prhs[0] =  mxCreateDoubleScalar((double)ls);
4589   prhs[1] =  mxCreateDoubleScalar((double)time);
4590   prhs[2] =  mxCreateDoubleScalar((double)lx);
4591   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4592   prhs[4] =  mxCreateDoubleScalar((double)shift);
4593   prhs[5] =  mxCreateDoubleScalar((double)lA);
4594   prhs[6] =  mxCreateDoubleScalar((double)lB);
4595   prhs[7] =  mxCreateString(sctx->funcname);
4596   prhs[8] =  sctx->ctx;
4597   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
4598   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4599   *flag   =  (MatStructure) mxGetScalar(plhs[1]);CHKERRQ(ierr);
4600   mxDestroyArray(prhs[0]);
4601   mxDestroyArray(prhs[1]);
4602   mxDestroyArray(prhs[2]);
4603   mxDestroyArray(prhs[3]);
4604   mxDestroyArray(prhs[4]);
4605   mxDestroyArray(prhs[5]);
4606   mxDestroyArray(prhs[6]);
4607   mxDestroyArray(prhs[7]);
4608   mxDestroyArray(plhs[0]);
4609   mxDestroyArray(plhs[1]);
4610   PetscFunctionReturn(0);
4611 }
4612 
4613 
4614 #undef __FUNCT__
4615 #define __FUNCT__ "TSSetJacobianMatlab"
4616 /*
4617    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4618    vector for use by the TS routines in solving ODEs from MATLAB. Here the function is a string containing the name of a MATLAB function
4619 
4620    Logically Collective on TS
4621 
4622    Input Parameters:
4623 +  ts - the TS context
4624 .  A,B - Jacobian matrices
4625 .  func - function evaluation routine
4626 -  ctx - user context
4627 
4628    Calling sequence of func:
4629 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
4630 
4631 
4632    Level: developer
4633 
4634 .keywords: TS, nonlinear, set, function
4635 
4636 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4637 */
4638 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
4639 {
4640   PetscErrorCode  ierr;
4641   TSMatlabContext *sctx;
4642 
4643   PetscFunctionBegin;
4644   /* currently sctx is memory bleed */
4645   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4646   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4647   /*
4648      This should work, but it doesn't
4649   sctx->ctx = ctx;
4650   mexMakeArrayPersistent(sctx->ctx);
4651   */
4652   sctx->ctx = mxDuplicateArray(ctx);
4653 
4654   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4655   PetscFunctionReturn(0);
4656 }
4657 
4658 #undef __FUNCT__
4659 #define __FUNCT__ "TSMonitor_Matlab"
4660 /*
4661    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
4662 
4663    Collective on TS
4664 
4665 .seealso: TSSetFunction(), TSGetFunction()
4666 @*/
4667 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
4668 {
4669   PetscErrorCode  ierr;
4670   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4671   int             nlhs  = 1,nrhs = 6;
4672   mxArray         *plhs[1],*prhs[6];
4673   long long int   lx = 0,ls = 0;
4674 
4675   PetscFunctionBegin;
4676   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4677   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4678 
4679   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4680   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4681 
4682   prhs[0] =  mxCreateDoubleScalar((double)ls);
4683   prhs[1] =  mxCreateDoubleScalar((double)it);
4684   prhs[2] =  mxCreateDoubleScalar((double)time);
4685   prhs[3] =  mxCreateDoubleScalar((double)lx);
4686   prhs[4] =  mxCreateString(sctx->funcname);
4687   prhs[5] =  sctx->ctx;
4688   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
4689   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4690   mxDestroyArray(prhs[0]);
4691   mxDestroyArray(prhs[1]);
4692   mxDestroyArray(prhs[2]);
4693   mxDestroyArray(prhs[3]);
4694   mxDestroyArray(prhs[4]);
4695   mxDestroyArray(plhs[0]);
4696   PetscFunctionReturn(0);
4697 }
4698 
4699 
4700 #undef __FUNCT__
4701 #define __FUNCT__ "TSMonitorSetMatlab"
4702 /*
4703    TSMonitorSetMatlab - Sets the monitor function from Matlab
4704 
4705    Level: developer
4706 
4707 .keywords: TS, nonlinear, set, function
4708 
4709 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4710 */
4711 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
4712 {
4713   PetscErrorCode  ierr;
4714   TSMatlabContext *sctx;
4715 
4716   PetscFunctionBegin;
4717   /* currently sctx is memory bleed */
4718   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4719   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4720   /*
4721      This should work, but it doesn't
4722   sctx->ctx = ctx;
4723   mexMakeArrayPersistent(sctx->ctx);
4724   */
4725   sctx->ctx = mxDuplicateArray(ctx);
4726 
4727   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
4728   PetscFunctionReturn(0);
4729 }
4730 #endif
4731 
4732 
4733 
4734 #undef __FUNCT__
4735 #define __FUNCT__ "TSMonitorLGSolution"
4736 /*@C
4737    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
4738        in a time based line graph
4739 
4740    Collective on TS
4741 
4742    Input Parameters:
4743 +  ts - the TS context
4744 .  step - current time-step
4745 .  ptime - current time
4746 -  lg - a line graph object
4747 
4748    Level: intermediate
4749 
4750     Notes: each process in a parallel run displays its component solutions in a separate window
4751 
4752 .keywords: TS,  vector, monitor, view
4753 
4754 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4755 @*/
4756 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4757 {
4758   PetscErrorCode    ierr;
4759   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4760   const PetscScalar *yy;
4761   PetscInt          dim;
4762 
4763   PetscFunctionBegin;
4764   if (!step) {
4765     PetscDrawAxis axis;
4766     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4767     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
4768     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4769     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4770     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4771   }
4772   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
4773 #if defined(PETSC_USE_COMPLEX)
4774   {
4775     PetscReal *yreal;
4776     PetscInt  i,n;
4777     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
4778     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4779     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4780     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4781     ierr = PetscFree(yreal);CHKERRQ(ierr);
4782   }
4783 #else
4784   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4785 #endif
4786   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
4787   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4788     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4789   }
4790   PetscFunctionReturn(0);
4791 }
4792 
4793 #undef __FUNCT__
4794 #define __FUNCT__ "TSMonitorLGError"
4795 /*@C
4796    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
4797        in a time based line graph
4798 
4799    Collective on TS
4800 
4801    Input Parameters:
4802 +  ts - the TS context
4803 .  step - current time-step
4804 .  ptime - current time
4805 -  lg - a line graph object
4806 
4807    Level: intermediate
4808 
4809    Notes:
4810    Only for sequential solves.
4811 
4812    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
4813 
4814    Options Database Keys:
4815 .  -ts_monitor_lg_error - create a graphical monitor of error history
4816 
4817 .keywords: TS,  vector, monitor, view
4818 
4819 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
4820 @*/
4821 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4822 {
4823   PetscErrorCode    ierr;
4824   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4825   const PetscScalar *yy;
4826   Vec               y;
4827   PetscInt          dim;
4828 
4829   PetscFunctionBegin;
4830   if (!step) {
4831     PetscDrawAxis axis;
4832     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4833     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
4834     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4835     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4836     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4837   }
4838   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
4839   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
4840   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
4841   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
4842 #if defined(PETSC_USE_COMPLEX)
4843   {
4844     PetscReal *yreal;
4845     PetscInt  i,n;
4846     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
4847     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4848     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4849     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4850     ierr = PetscFree(yreal);CHKERRQ(ierr);
4851   }
4852 #else
4853   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4854 #endif
4855   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
4856   ierr = VecDestroy(&y);CHKERRQ(ierr);
4857   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4858     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4859   }
4860   PetscFunctionReturn(0);
4861 }
4862 
4863 #undef __FUNCT__
4864 #define __FUNCT__ "TSMonitorLGSNESIterations"
4865 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4866 {
4867   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4868   PetscReal      x   = ptime,y;
4869   PetscErrorCode ierr;
4870   PetscInt       its;
4871 
4872   PetscFunctionBegin;
4873   if (!n) {
4874     PetscDrawAxis axis;
4875 
4876     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4877     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
4878     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4879 
4880     ctx->snes_its = 0;
4881   }
4882   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
4883   y    = its - ctx->snes_its;
4884   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4885   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4886     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4887   }
4888   ctx->snes_its = its;
4889   PetscFunctionReturn(0);
4890 }
4891 
4892 #undef __FUNCT__
4893 #define __FUNCT__ "TSMonitorLGKSPIterations"
4894 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4895 {
4896   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4897   PetscReal      x   = ptime,y;
4898   PetscErrorCode ierr;
4899   PetscInt       its;
4900 
4901   PetscFunctionBegin;
4902   if (!n) {
4903     PetscDrawAxis axis;
4904 
4905     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4906     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
4907     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4908 
4909     ctx->ksp_its = 0;
4910   }
4911   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
4912   y    = its - ctx->ksp_its;
4913   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4914   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4915     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4916   }
4917   ctx->ksp_its = its;
4918   PetscFunctionReturn(0);
4919 }
4920 
4921 #undef __FUNCT__
4922 #define __FUNCT__ "TSComputeLinearStability"
4923 /*@
4924    TSComputeLinearStability - computes the linear stability function at a point
4925 
4926    Collective on TS and Vec
4927 
4928    Input Parameters:
4929 +  ts - the TS context
4930 -  xr,xi - real and imaginary part of input arguments
4931 
4932    Output Parameters:
4933 .  yr,yi - real and imaginary part of function value
4934 
4935    Level: developer
4936 
4937 .keywords: TS, compute
4938 
4939 .seealso: TSSetRHSFunction(), TSComputeIFunction()
4940 @*/
4941 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
4942 {
4943   PetscErrorCode ierr;
4944 
4945   PetscFunctionBegin;
4946   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4947   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
4948   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
4949   PetscFunctionReturn(0);
4950 }
4951