xref: /petsc/src/ts/interface/ts.c (revision b2bbaf76f4dd33c9042d329b49dbc66b9ef10f10)
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 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   PetscDrawAxis axis;
17   Vec           initialsolution;
18   PetscBool     showinitial;
19   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
20   PetscBool     showtimestepandtime;
21   int           color;
22 };
23 
24 #undef __FUNCT__
25 #define __FUNCT__ "TSSetFromOptions"
26 /*@
27    TSSetFromOptions - Sets various TS parameters from user options.
28 
29    Collective on TS
30 
31    Input Parameter:
32 .  ts - the TS context obtained from TSCreate()
33 
34    Options Database Keys:
35 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSGL, TSSSP
36 .  -ts_checkpoint - checkpoint for adjoint sensitivity analysis
37 .  -ts_max_steps maxsteps - maximum number of time-steps to take
38 .  -ts_final_time time - maximum time to compute to
39 .  -ts_dt dt - initial time step
40 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
41 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
42 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
43 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
44 .  -ts_rtol <rtol> - relative tolerance for local truncation error
45 .  -ts_atol <atol> Absolute tolerance for local truncation error
46 .  -ts_monitor - print information at each timestep
47 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
48 .  -ts_monitor_lg_solution - Monitor solution graphically
49 .  -ts_monitor_lg_error - Monitor error graphically
50 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
51 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
52 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
53 .  -ts_monitor_draw_solution - Monitor solution graphically
54 .  -ts_monitor_draw_solution_phase - Monitor solution graphically with phase diagram
55 .  -ts_monitor_draw_error - Monitor error graphically
56 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
57 -  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
58 
59    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
60 
61    Level: beginner
62 
63 .keywords: TS, timestep, set, options, database
64 
65 .seealso: TSGetType()
66 @*/
67 PetscErrorCode  TSSetFromOptions(TS ts)
68 {
69   PetscBool              opt,flg,tflg;
70   PetscErrorCode         ierr;
71   PetscViewer            monviewer;
72   char                   monfilename[PETSC_MAX_PATH_LEN];
73   SNES                   snes;
74   TSAdapt                adapt;
75   PetscReal              time_step;
76   TSExactFinalTimeOption eftopt;
77   char                   dir[16];
78   const char             *defaultType;
79   char                   typeName[256];
80 
81   PetscFunctionBegin;
82   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
83   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
84   if (((PetscObject)ts)->type_name) defaultType = ((PetscObject)ts)->type_name;
85   else defaultType = TSEULER;
86 
87   ierr = TSRegisterAll();CHKERRQ(ierr);
88   ierr = PetscOptionsFList("-ts_type", "TS method"," TSSetType", TSList, defaultType, typeName, 256, &opt);CHKERRQ(ierr);
89   if (opt) {
90     ierr = TSSetType(ts, typeName);CHKERRQ(ierr);
91   } else {
92     ierr = TSSetType(ts, defaultType);CHKERRQ(ierr);
93   }
94 
95   /* Handle generic TS options */
96   if (ts->trajectory) tflg = PETSC_TRUE;
97   else tflg = PETSC_FALSE;
98   ierr = PetscOptionsBool("-ts_save_trajectories","Checkpoint for adjoint sensitivity analysis","TSSetSaveTrajectories",tflg,&tflg,NULL);CHKERRQ(ierr);
99   if (tflg) {ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);}
100   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
101   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
102   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
103   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
104   if (flg) {
105     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
106   }
107   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);
108   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
109   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
110   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
111   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
112   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
113   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
114 
115 #if defined(PETSC_HAVE_SAWS)
116   {
117   PetscBool set;
118   flg  = PETSC_FALSE;
119   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
120   if (set) {
121     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
122   }
123   }
124 #endif
125 
126   /* Monitor options */
127   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
128   if (flg) {
129     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
130     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
131   }
132   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
133   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
134 
135   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
136   if (opt) {
137     TSMonitorLGCtx ctx;
138     PetscInt       howoften = 1;
139 
140     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
141     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
142     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
143   }
144   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
145   if (opt) {
146     TSMonitorLGCtx ctx;
147     PetscInt       howoften = 1;
148 
149     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
150     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
151     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
152   }
153   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
154   if (opt) {
155     TSMonitorLGCtx ctx;
156     PetscInt       howoften = 1;
157 
158     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
159     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
160     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
161   }
162   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
163   if (opt) {
164     TSMonitorLGCtx ctx;
165     PetscInt       howoften = 1;
166 
167     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
168     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
169     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
170   }
171   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
172   if (opt) {
173     TSMonitorLGCtx ctx;
174     PetscInt       howoften = 1;
175 
176     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
177     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
178     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
179   }
180   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
181   if (opt) {
182     TSMonitorSPEigCtx ctx;
183     PetscInt          howoften = 1;
184 
185     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
186     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
187     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
188   }
189   opt  = PETSC_FALSE;
190   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
191   if (opt) {
192     TSMonitorDrawCtx ctx;
193     PetscInt         howoften = 1;
194 
195     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
196     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
197     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
198   }
199   opt  = PETSC_FALSE;
200   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
201   if (opt) {
202     TSMonitorDrawCtx ctx;
203     PetscReal        bounds[4];
204     PetscInt         n = 4;
205     PetscDraw        draw;
206 
207     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
208     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
209     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
210     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
211     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
212     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
213     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
214     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
215     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
216     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
217     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
218   }
219   opt  = PETSC_FALSE;
220   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
221   if (opt) {
222     TSMonitorDrawCtx ctx;
223     PetscInt         howoften = 1;
224 
225     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
226     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
227     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
228   }
229   opt  = PETSC_FALSE;
230   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
231   if (flg) {
232     PetscViewer ctx;
233     if (monfilename[0]) {
234       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
235       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
236     } else {
237       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
238       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
239     }
240   }
241   opt  = PETSC_FALSE;
242   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);
243   if (flg) {
244     const char *ptr,*ptr2;
245     char       *filetemplate;
246     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
247     /* Do some cursory validation of the input. */
248     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
249     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
250     for (ptr++; ptr && *ptr; ptr++) {
251       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
252       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");
253       if (ptr2) break;
254     }
255     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
256     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
257   }
258 
259   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
260   if (flg) {
261     TSMonitorDMDARayCtx *rayctx;
262     int                  ray = 0;
263     DMDADirection        ddir;
264     DM                   da;
265     PetscMPIInt          rank;
266 
267     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
268     if (dir[0] == 'x') ddir = DMDA_X;
269     else if (dir[0] == 'y') ddir = DMDA_Y;
270     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
271     sscanf(dir+2,"%d",&ray);
272 
273     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
274     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
275     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
276     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
277     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
278     if (!rank) {
279       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
280     }
281     rayctx->lgctx = NULL;
282     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
283   }
284   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
285   if (flg) {
286     TSMonitorDMDARayCtx *rayctx;
287     int                 ray = 0;
288     DMDADirection       ddir;
289     DM                  da;
290     PetscInt            howoften = 1;
291 
292     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
293     if      (dir[0] == 'x') ddir = DMDA_X;
294     else if (dir[0] == 'y') ddir = DMDA_Y;
295     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
296     sscanf(dir+2, "%d", &ray);
297 
298     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
299     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
300     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
301     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
302     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
303     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
304   }
305 
306   /*
307      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
308      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
309   */
310   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
311   ierr = TSAdaptSetFromOptions(PetscOptionsObject,adapt);CHKERRQ(ierr);
312 
313     /* Handle specific TS options */
314   if (ts->ops->setfromoptions) {
315     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
316   }
317   ierr = PetscOptionsEnd();CHKERRQ(ierr);
318 
319   /* process any options handlers added with PetscObjectAddOptionsHandler() */
320   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
321 
322   if (ts->trajectory) {
323     ierr = TSTrajectorySetFromOptions(ts->trajectory);CHKERRQ(ierr);
324   }
325 
326   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
327   if (snes) {
328     if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
329     ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
330   }
331   PetscFunctionReturn(0);
332 }
333 
334 #undef __FUNCT__
335 #define __FUNCT__ "TSSetSaveTrajectory"
336 /*@
337    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
338 
339    Collective on TS
340 
341    Input Parameters:
342 .  ts - the TS context obtained from TSCreate()
343 
344 
345    Level: intermediate
346 
347 .seealso: TSGetTrajectory(), TSAdjointSolve()
348 
349 .keywords: TS, set, checkpoint,
350 @*/
351 PetscErrorCode  TSSetSaveTrajectory(TS ts)
352 {
353   PetscErrorCode ierr;
354 
355   PetscFunctionBegin;
356   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
357   if (!ts->trajectory) {
358     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
359     /* should it set a default trajectory? */
360   }
361   PetscFunctionReturn(0);
362 }
363 
364 #undef __FUNCT__
365 #define __FUNCT__ "TSComputeRHSJacobian"
366 /*@
367    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
368       set with TSSetRHSJacobian().
369 
370    Collective on TS and Vec
371 
372    Input Parameters:
373 +  ts - the TS context
374 .  t - current timestep
375 -  U - input vector
376 
377    Output Parameters:
378 +  A - Jacobian matrix
379 .  B - optional preconditioning matrix
380 -  flag - flag indicating matrix structure
381 
382    Notes:
383    Most users should not need to explicitly call this routine, as it
384    is used internally within the nonlinear solvers.
385 
386    See KSPSetOperators() for important information about setting the
387    flag parameter.
388 
389    Level: developer
390 
391 .keywords: SNES, compute, Jacobian, matrix
392 
393 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
394 @*/
395 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
396 {
397   PetscErrorCode ierr;
398   PetscObjectState Ustate;
399   DM             dm;
400   DMTS           tsdm;
401   TSRHSJacobian  rhsjacobianfunc;
402   void           *ctx;
403   TSIJacobian    ijacobianfunc;
404 
405   PetscFunctionBegin;
406   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
407   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
408   PetscCheckSameComm(ts,1,U,3);
409   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
410   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
411   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
412   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
413   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
414   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
415     PetscFunctionReturn(0);
416   }
417 
418   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
419 
420   if (ts->rhsjacobian.reuse) {
421     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
422     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
423     if (A != B) {
424       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
425       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
426     }
427     ts->rhsjacobian.shift = 0;
428     ts->rhsjacobian.scale = 1.;
429   }
430 
431   if (rhsjacobianfunc) {
432     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
433     PetscStackPush("TS user Jacobian function");
434     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
435     PetscStackPop;
436     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
437     /* make sure user returned a correct Jacobian and preconditioner */
438     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
439     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
440   } else {
441     ierr = MatZeroEntries(A);CHKERRQ(ierr);
442     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
443   }
444   ts->rhsjacobian.time       = t;
445   ts->rhsjacobian.X          = U;
446   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
447   PetscFunctionReturn(0);
448 }
449 
450 #undef __FUNCT__
451 #define __FUNCT__ "TSComputeRHSFunction"
452 /*@
453    TSComputeRHSFunction - Evaluates the right-hand-side function.
454 
455    Collective on TS and Vec
456 
457    Input Parameters:
458 +  ts - the TS context
459 .  t - current time
460 -  U - state vector
461 
462    Output Parameter:
463 .  y - right hand side
464 
465    Note:
466    Most users should not need to explicitly call this routine, as it
467    is used internally within the nonlinear solvers.
468 
469    Level: developer
470 
471 .keywords: TS, compute
472 
473 .seealso: TSSetRHSFunction(), TSComputeIFunction()
474 @*/
475 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
476 {
477   PetscErrorCode ierr;
478   TSRHSFunction  rhsfunction;
479   TSIFunction    ifunction;
480   void           *ctx;
481   DM             dm;
482 
483   PetscFunctionBegin;
484   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
485   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
486   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
487   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
488   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
489   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
490 
491   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
492 
493   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
494   if (rhsfunction) {
495     PetscStackPush("TS user right-hand-side function");
496     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
497     PetscStackPop;
498   } else {
499     ierr = VecZeroEntries(y);CHKERRQ(ierr);
500   }
501 
502   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
503   PetscFunctionReturn(0);
504 }
505 
506 #undef __FUNCT__
507 #define __FUNCT__ "TSComputeSolutionFunction"
508 /*@
509    TSComputeSolutionFunction - Evaluates the solution function.
510 
511    Collective on TS and Vec
512 
513    Input Parameters:
514 +  ts - the TS context
515 -  t - current time
516 
517    Output Parameter:
518 .  U - the solution
519 
520    Note:
521    Most users should not need to explicitly call this routine, as it
522    is used internally within the nonlinear solvers.
523 
524    Level: developer
525 
526 .keywords: TS, compute
527 
528 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
529 @*/
530 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
531 {
532   PetscErrorCode     ierr;
533   TSSolutionFunction solutionfunction;
534   void               *ctx;
535   DM                 dm;
536 
537   PetscFunctionBegin;
538   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
539   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
540   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
541   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
542 
543   if (solutionfunction) {
544     PetscStackPush("TS user solution function");
545     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
546     PetscStackPop;
547   }
548   PetscFunctionReturn(0);
549 }
550 #undef __FUNCT__
551 #define __FUNCT__ "TSComputeForcingFunction"
552 /*@
553    TSComputeForcingFunction - Evaluates the forcing function.
554 
555    Collective on TS and Vec
556 
557    Input Parameters:
558 +  ts - the TS context
559 -  t - current time
560 
561    Output Parameter:
562 .  U - the function value
563 
564    Note:
565    Most users should not need to explicitly call this routine, as it
566    is used internally within the nonlinear solvers.
567 
568    Level: developer
569 
570 .keywords: TS, compute
571 
572 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
573 @*/
574 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
575 {
576   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
577   void               *ctx;
578   DM                 dm;
579 
580   PetscFunctionBegin;
581   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
582   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
583   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
584   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
585 
586   if (forcing) {
587     PetscStackPush("TS user forcing function");
588     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
589     PetscStackPop;
590   }
591   PetscFunctionReturn(0);
592 }
593 
594 #undef __FUNCT__
595 #define __FUNCT__ "TSGetRHSVec_Private"
596 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
597 {
598   Vec            F;
599   PetscErrorCode ierr;
600 
601   PetscFunctionBegin;
602   *Frhs = NULL;
603   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
604   if (!ts->Frhs) {
605     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
606   }
607   *Frhs = ts->Frhs;
608   PetscFunctionReturn(0);
609 }
610 
611 #undef __FUNCT__
612 #define __FUNCT__ "TSGetRHSMats_Private"
613 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
614 {
615   Mat            A,B;
616   PetscErrorCode ierr;
617 
618   PetscFunctionBegin;
619   if (Arhs) *Arhs = NULL;
620   if (Brhs) *Brhs = NULL;
621   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
622   if (Arhs) {
623     if (!ts->Arhs) {
624       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
625     }
626     *Arhs = ts->Arhs;
627   }
628   if (Brhs) {
629     if (!ts->Brhs) {
630       if (A != B) {
631         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
632       } else {
633         ts->Brhs = ts->Arhs;
634         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
635       }
636     }
637     *Brhs = ts->Brhs;
638   }
639   PetscFunctionReturn(0);
640 }
641 
642 #undef __FUNCT__
643 #define __FUNCT__ "TSComputeIFunction"
644 /*@
645    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
646 
647    Collective on TS and Vec
648 
649    Input Parameters:
650 +  ts - the TS context
651 .  t - current time
652 .  U - state vector
653 .  Udot - time derivative of state vector
654 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
655 
656    Output Parameter:
657 .  Y - right hand side
658 
659    Note:
660    Most users should not need to explicitly call this routine, as it
661    is used internally within the nonlinear solvers.
662 
663    If the user did did not write their equations in implicit form, this
664    function recasts them in implicit form.
665 
666    Level: developer
667 
668 .keywords: TS, compute
669 
670 .seealso: TSSetIFunction(), TSComputeRHSFunction()
671 @*/
672 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
673 {
674   PetscErrorCode ierr;
675   TSIFunction    ifunction;
676   TSRHSFunction  rhsfunction;
677   void           *ctx;
678   DM             dm;
679 
680   PetscFunctionBegin;
681   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
682   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
683   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
684   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
685 
686   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
687   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
688   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
689 
690   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
691 
692   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
693   if (ifunction) {
694     PetscStackPush("TS user implicit function");
695     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
696     PetscStackPop;
697   }
698   if (imex) {
699     if (!ifunction) {
700       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
701     }
702   } else if (rhsfunction) {
703     if (ifunction) {
704       Vec Frhs;
705       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
706       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
707       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
708     } else {
709       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
710       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
711     }
712   }
713   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
714   PetscFunctionReturn(0);
715 }
716 
717 #undef __FUNCT__
718 #define __FUNCT__ "TSComputeIJacobian"
719 /*@
720    TSComputeIJacobian - Evaluates the Jacobian of the DAE
721 
722    Collective on TS and Vec
723 
724    Input
725       Input Parameters:
726 +  ts - the TS context
727 .  t - current timestep
728 .  U - state vector
729 .  Udot - time derivative of state vector
730 .  shift - shift to apply, see note below
731 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
732 
733    Output Parameters:
734 +  A - Jacobian matrix
735 .  B - optional preconditioning matrix
736 -  flag - flag indicating matrix structure
737 
738    Notes:
739    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
740 
741    dF/dU + shift*dF/dUdot
742 
743    Most users should not need to explicitly call this routine, as it
744    is used internally within the nonlinear solvers.
745 
746    Level: developer
747 
748 .keywords: TS, compute, Jacobian, matrix
749 
750 .seealso:  TSSetIJacobian()
751 @*/
752 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
753 {
754   PetscErrorCode ierr;
755   TSIJacobian    ijacobian;
756   TSRHSJacobian  rhsjacobian;
757   DM             dm;
758   void           *ctx;
759 
760   PetscFunctionBegin;
761   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
762   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
763   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
764   PetscValidPointer(A,6);
765   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
766   PetscValidPointer(B,7);
767   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
768 
769   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
770   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
771   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
772 
773   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
774 
775   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
776   if (ijacobian) {
777     PetscStackPush("TS user implicit Jacobian");
778     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
779     PetscStackPop;
780     /* make sure user returned a correct Jacobian and preconditioner */
781     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
782     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
783   }
784   if (imex) {
785     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
786       ierr = MatZeroEntries(A);CHKERRQ(ierr);
787       ierr = MatShift(A,shift);CHKERRQ(ierr);
788       if (A != B) {
789         ierr = MatZeroEntries(B);CHKERRQ(ierr);
790         ierr = MatShift(B,shift);CHKERRQ(ierr);
791       }
792     }
793   } else {
794     Mat Arhs = NULL,Brhs = NULL;
795     if (rhsjacobian) {
796       if (ijacobian) {
797         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
798       } else {
799         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
800       }
801       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
802     }
803     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
804       ts->rhsjacobian.scale = -1;
805       ts->rhsjacobian.shift = shift;
806       ierr = MatScale(A,-1);CHKERRQ(ierr);
807       ierr = MatShift(A,shift);CHKERRQ(ierr);
808       if (A != B) {
809         ierr = MatScale(B,-1);CHKERRQ(ierr);
810         ierr = MatShift(B,shift);CHKERRQ(ierr);
811       }
812     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
813       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
814       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
815         ierr = MatZeroEntries(A);CHKERRQ(ierr);
816         ierr = MatShift(A,shift);CHKERRQ(ierr);
817         if (A != B) {
818           ierr = MatZeroEntries(B);CHKERRQ(ierr);
819           ierr = MatShift(B,shift);CHKERRQ(ierr);
820         }
821       }
822       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
823       if (A != B) {
824         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
825       }
826     }
827   }
828   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
829   PetscFunctionReturn(0);
830 }
831 
832 #undef __FUNCT__
833 #define __FUNCT__ "TSSetRHSFunction"
834 /*@C
835     TSSetRHSFunction - Sets the routine for evaluating the function,
836     where U_t = G(t,u).
837 
838     Logically Collective on TS
839 
840     Input Parameters:
841 +   ts - the TS context obtained from TSCreate()
842 .   r - vector to put the computed right hand side (or NULL to have it created)
843 .   f - routine for evaluating the right-hand-side function
844 -   ctx - [optional] user-defined context for private data for the
845           function evaluation routine (may be NULL)
846 
847     Calling sequence of func:
848 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
849 
850 +   t - current timestep
851 .   u - input vector
852 .   F - function vector
853 -   ctx - [optional] user-defined function context
854 
855     Level: beginner
856 
857     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
858 
859 .keywords: TS, timestep, set, right-hand-side, function
860 
861 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
862 @*/
863 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
864 {
865   PetscErrorCode ierr;
866   SNES           snes;
867   Vec            ralloc = NULL;
868   DM             dm;
869 
870   PetscFunctionBegin;
871   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
872   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
873 
874   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
875   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
876   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
877   if (!r && !ts->dm && ts->vec_sol) {
878     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
879     r    = ralloc;
880   }
881   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
882   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
883   PetscFunctionReturn(0);
884 }
885 
886 #undef __FUNCT__
887 #define __FUNCT__ "TSSetSolutionFunction"
888 /*@C
889     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
890 
891     Logically Collective on TS
892 
893     Input Parameters:
894 +   ts - the TS context obtained from TSCreate()
895 .   f - routine for evaluating the solution
896 -   ctx - [optional] user-defined context for private data for the
897           function evaluation routine (may be NULL)
898 
899     Calling sequence of func:
900 $     func (TS ts,PetscReal t,Vec u,void *ctx);
901 
902 +   t - current timestep
903 .   u - output vector
904 -   ctx - [optional] user-defined function context
905 
906     Notes:
907     This routine is used for testing accuracy of time integration schemes when you already know the solution.
908     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
909     create closed-form solutions with non-physical forcing terms.
910 
911     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
912 
913     Level: beginner
914 
915 .keywords: TS, timestep, set, right-hand-side, function
916 
917 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
918 @*/
919 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
920 {
921   PetscErrorCode ierr;
922   DM             dm;
923 
924   PetscFunctionBegin;
925   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
926   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
927   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
928   PetscFunctionReturn(0);
929 }
930 
931 #undef __FUNCT__
932 #define __FUNCT__ "TSSetForcingFunction"
933 /*@C
934     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
935 
936     Logically Collective on TS
937 
938     Input Parameters:
939 +   ts - the TS context obtained from TSCreate()
940 .   f - routine for evaluating the forcing function
941 -   ctx - [optional] user-defined context for private data for the
942           function evaluation routine (may be NULL)
943 
944     Calling sequence of func:
945 $     func (TS ts,PetscReal t,Vec u,void *ctx);
946 
947 +   t - current timestep
948 .   u - output vector
949 -   ctx - [optional] user-defined function context
950 
951     Notes:
952     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
953     create closed-form solutions with a non-physical forcing term.
954 
955     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
956 
957     Level: beginner
958 
959 .keywords: TS, timestep, set, right-hand-side, function
960 
961 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
962 @*/
963 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
964 {
965   PetscErrorCode ierr;
966   DM             dm;
967 
968   PetscFunctionBegin;
969   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
970   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
971   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
972   PetscFunctionReturn(0);
973 }
974 
975 #undef __FUNCT__
976 #define __FUNCT__ "TSSetRHSJacobian"
977 /*@C
978    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
979    where U_t = G(U,t), as well as the location to store the matrix.
980 
981    Logically Collective on TS
982 
983    Input Parameters:
984 +  ts  - the TS context obtained from TSCreate()
985 .  Amat - (approximate) Jacobian matrix
986 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
987 .  f   - the Jacobian evaluation routine
988 -  ctx - [optional] user-defined context for private data for the
989          Jacobian evaluation routine (may be NULL)
990 
991    Calling sequence of f:
992 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
993 
994 +  t - current timestep
995 .  u - input vector
996 .  Amat - (approximate) Jacobian matrix
997 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
998 -  ctx - [optional] user-defined context for matrix evaluation routine
999 
1000 
1001    Level: beginner
1002 
1003 .keywords: TS, timestep, set, right-hand-side, Jacobian
1004 
1005 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1006 
1007 @*/
1008 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1009 {
1010   PetscErrorCode ierr;
1011   SNES           snes;
1012   DM             dm;
1013   TSIJacobian    ijacobian;
1014 
1015   PetscFunctionBegin;
1016   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1017   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1018   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1019   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1020   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1021 
1022   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1023   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1024   if (f == TSComputeRHSJacobianConstant) {
1025     /* Handle this case automatically for the user; otherwise user should call themselves. */
1026     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1027   }
1028   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1029   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1030   if (!ijacobian) {
1031     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1032   }
1033   if (Amat) {
1034     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1035     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1036 
1037     ts->Arhs = Amat;
1038   }
1039   if (Pmat) {
1040     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1041     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1042 
1043     ts->Brhs = Pmat;
1044   }
1045   PetscFunctionReturn(0);
1046 }
1047 
1048 
1049 #undef __FUNCT__
1050 #define __FUNCT__ "TSSetIFunction"
1051 /*@C
1052    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1053 
1054    Logically Collective on TS
1055 
1056    Input Parameters:
1057 +  ts  - the TS context obtained from TSCreate()
1058 .  r   - vector to hold the residual (or NULL to have it created internally)
1059 .  f   - the function evaluation routine
1060 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1061 
1062    Calling sequence of f:
1063 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1064 
1065 +  t   - time at step/stage being solved
1066 .  u   - state vector
1067 .  u_t - time derivative of state vector
1068 .  F   - function vector
1069 -  ctx - [optional] user-defined context for matrix evaluation routine
1070 
1071    Important:
1072    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1073 
1074    Level: beginner
1075 
1076 .keywords: TS, timestep, set, DAE, Jacobian
1077 
1078 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1079 @*/
1080 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1081 {
1082   PetscErrorCode ierr;
1083   SNES           snes;
1084   Vec            resalloc = NULL;
1085   DM             dm;
1086 
1087   PetscFunctionBegin;
1088   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1089   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1090 
1091   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1092   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1093 
1094   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1095   if (!res && !ts->dm && ts->vec_sol) {
1096     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1097     res  = resalloc;
1098   }
1099   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1100   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "TSGetIFunction"
1106 /*@C
1107    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1108 
1109    Not Collective
1110 
1111    Input Parameter:
1112 .  ts - the TS context
1113 
1114    Output Parameter:
1115 +  r - vector to hold residual (or NULL)
1116 .  func - the function to compute residual (or NULL)
1117 -  ctx - the function context (or NULL)
1118 
1119    Level: advanced
1120 
1121 .keywords: TS, nonlinear, get, function
1122 
1123 .seealso: TSSetIFunction(), SNESGetFunction()
1124 @*/
1125 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1126 {
1127   PetscErrorCode ierr;
1128   SNES           snes;
1129   DM             dm;
1130 
1131   PetscFunctionBegin;
1132   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1133   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1134   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1135   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1136   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1137   PetscFunctionReturn(0);
1138 }
1139 
1140 #undef __FUNCT__
1141 #define __FUNCT__ "TSGetRHSFunction"
1142 /*@C
1143    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1144 
1145    Not Collective
1146 
1147    Input Parameter:
1148 .  ts - the TS context
1149 
1150    Output Parameter:
1151 +  r - vector to hold computed right hand side (or NULL)
1152 .  func - the function to compute right hand side (or NULL)
1153 -  ctx - the function context (or NULL)
1154 
1155    Level: advanced
1156 
1157 .keywords: TS, nonlinear, get, function
1158 
1159 .seealso: TSSetRHSFunction(), SNESGetFunction()
1160 @*/
1161 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1162 {
1163   PetscErrorCode ierr;
1164   SNES           snes;
1165   DM             dm;
1166 
1167   PetscFunctionBegin;
1168   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1169   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1170   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1171   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1172   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1173   PetscFunctionReturn(0);
1174 }
1175 
1176 #undef __FUNCT__
1177 #define __FUNCT__ "TSSetIJacobian"
1178 /*@C
1179    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1180         provided with TSSetIFunction().
1181 
1182    Logically Collective on TS
1183 
1184    Input Parameters:
1185 +  ts  - the TS context obtained from TSCreate()
1186 .  Amat - (approximate) Jacobian matrix
1187 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1188 .  f   - the Jacobian evaluation routine
1189 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1190 
1191    Calling sequence of f:
1192 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1193 
1194 +  t    - time at step/stage being solved
1195 .  U    - state vector
1196 .  U_t  - time derivative of state vector
1197 .  a    - shift
1198 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1199 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1200 -  ctx  - [optional] user-defined context for matrix evaluation routine
1201 
1202    Notes:
1203    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1204 
1205    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1206    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1207    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1208    a and vector W depend on the integration method, step size, and past states. For example with
1209    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1210    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1211 
1212    Level: beginner
1213 
1214 .keywords: TS, timestep, DAE, Jacobian
1215 
1216 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1217 
1218 @*/
1219 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1220 {
1221   PetscErrorCode ierr;
1222   SNES           snes;
1223   DM             dm;
1224 
1225   PetscFunctionBegin;
1226   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1227   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1228   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1229   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1230   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1231 
1232   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1233   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1234 
1235   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1236   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1237   PetscFunctionReturn(0);
1238 }
1239 
1240 #undef __FUNCT__
1241 #define __FUNCT__ "TSRHSJacobianSetReuse"
1242 /*@
1243    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1244    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1245    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1246    not been changed by the TS.
1247 
1248    Logically Collective
1249 
1250    Input Arguments:
1251 +  ts - TS context obtained from TSCreate()
1252 -  reuse - PETSC_TRUE if the RHS Jacobian
1253 
1254    Level: intermediate
1255 
1256 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1257 @*/
1258 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1259 {
1260   PetscFunctionBegin;
1261   ts->rhsjacobian.reuse = reuse;
1262   PetscFunctionReturn(0);
1263 }
1264 
1265 #undef __FUNCT__
1266 #define __FUNCT__ "TSLoad"
1267 /*@C
1268   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1269 
1270   Collective on PetscViewer
1271 
1272   Input Parameters:
1273 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1274            some related function before a call to TSLoad().
1275 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1276 
1277    Level: intermediate
1278 
1279   Notes:
1280    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1281 
1282   Notes for advanced users:
1283   Most users should not need to know the details of the binary storage
1284   format, since TSLoad() and TSView() completely hide these details.
1285   But for anyone who's interested, the standard binary matrix storage
1286   format is
1287 .vb
1288      has not yet been determined
1289 .ve
1290 
1291 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1292 @*/
1293 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1294 {
1295   PetscErrorCode ierr;
1296   PetscBool      isbinary;
1297   PetscInt       classid;
1298   char           type[256];
1299   DMTS           sdm;
1300   DM             dm;
1301 
1302   PetscFunctionBegin;
1303   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1304   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1305   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1306   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1307 
1308   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1309   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1310   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1311   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1312   if (ts->ops->load) {
1313     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1314   }
1315   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1316   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1317   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1318   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1319   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1320   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1321   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1322   PetscFunctionReturn(0);
1323 }
1324 
1325 #include <petscdraw.h>
1326 #if defined(PETSC_HAVE_SAWS)
1327 #include <petscviewersaws.h>
1328 #endif
1329 #undef __FUNCT__
1330 #define __FUNCT__ "TSView"
1331 /*@C
1332     TSView - Prints the TS data structure.
1333 
1334     Collective on TS
1335 
1336     Input Parameters:
1337 +   ts - the TS context obtained from TSCreate()
1338 -   viewer - visualization context
1339 
1340     Options Database Key:
1341 .   -ts_view - calls TSView() at end of TSStep()
1342 
1343     Notes:
1344     The available visualization contexts include
1345 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1346 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1347          output where only the first processor opens
1348          the file.  All other processors send their
1349          data to the first processor to print.
1350 
1351     The user can open an alternative visualization context with
1352     PetscViewerASCIIOpen() - output to a specified file.
1353 
1354     Level: beginner
1355 
1356 .keywords: TS, timestep, view
1357 
1358 .seealso: PetscViewerASCIIOpen()
1359 @*/
1360 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1361 {
1362   PetscErrorCode ierr;
1363   TSType         type;
1364   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1365   DMTS           sdm;
1366 #if defined(PETSC_HAVE_SAWS)
1367   PetscBool      issaws;
1368 #endif
1369 
1370   PetscFunctionBegin;
1371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1372   if (!viewer) {
1373     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1374   }
1375   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1376   PetscCheckSameComm(ts,1,viewer,2);
1377 
1378   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1379   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1380   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1381   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1382 #if defined(PETSC_HAVE_SAWS)
1383   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1384 #endif
1385   if (iascii) {
1386     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1387     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1388     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1389     if (ts->problem_type == TS_NONLINEAR) {
1390       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1391       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1392     }
1393     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1394     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1395     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1396     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1397     if (ts->ops->view) {
1398       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1399       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1400       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1401     }
1402   } else if (isstring) {
1403     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1404     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1405   } else if (isbinary) {
1406     PetscInt    classid = TS_FILE_CLASSID;
1407     MPI_Comm    comm;
1408     PetscMPIInt rank;
1409     char        type[256];
1410 
1411     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1412     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1413     if (!rank) {
1414       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1415       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1416       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1417     }
1418     if (ts->ops->view) {
1419       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1420     }
1421     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1422     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1423     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1424     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1425   } else if (isdraw) {
1426     PetscDraw draw;
1427     char      str[36];
1428     PetscReal x,y,bottom,h;
1429 
1430     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1431     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1432     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1433     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1434     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1435     bottom = y - h;
1436     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1437     if (ts->ops->view) {
1438       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1439     }
1440     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1441 #if defined(PETSC_HAVE_SAWS)
1442   } else if (issaws) {
1443     PetscMPIInt rank;
1444     const char  *name;
1445 
1446     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1447     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1448     if (!((PetscObject)ts)->amsmem && !rank) {
1449       char       dir[1024];
1450 
1451       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1452       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1453       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1454       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1455       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1456     }
1457     if (ts->ops->view) {
1458       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1459     }
1460 #endif
1461   }
1462 
1463   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1464   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1465   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1466   PetscFunctionReturn(0);
1467 }
1468 
1469 
1470 #undef __FUNCT__
1471 #define __FUNCT__ "TSSetApplicationContext"
1472 /*@
1473    TSSetApplicationContext - Sets an optional user-defined context for
1474    the timesteppers.
1475 
1476    Logically Collective on TS
1477 
1478    Input Parameters:
1479 +  ts - the TS context obtained from TSCreate()
1480 -  usrP - optional user context
1481 
1482    Level: intermediate
1483 
1484 .keywords: TS, timestep, set, application, context
1485 
1486 .seealso: TSGetApplicationContext()
1487 @*/
1488 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1489 {
1490   PetscFunctionBegin;
1491   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1492   ts->user = usrP;
1493   PetscFunctionReturn(0);
1494 }
1495 
1496 #undef __FUNCT__
1497 #define __FUNCT__ "TSGetApplicationContext"
1498 /*@
1499     TSGetApplicationContext - Gets the user-defined context for the
1500     timestepper.
1501 
1502     Not Collective
1503 
1504     Input Parameter:
1505 .   ts - the TS context obtained from TSCreate()
1506 
1507     Output Parameter:
1508 .   usrP - user context
1509 
1510     Level: intermediate
1511 
1512 .keywords: TS, timestep, get, application, context
1513 
1514 .seealso: TSSetApplicationContext()
1515 @*/
1516 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1517 {
1518   PetscFunctionBegin;
1519   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1520   *(void**)usrP = ts->user;
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 #undef __FUNCT__
1525 #define __FUNCT__ "TSGetTimeStepNumber"
1526 /*@
1527    TSGetTimeStepNumber - Gets the number of time steps completed.
1528 
1529    Not Collective
1530 
1531    Input Parameter:
1532 .  ts - the TS context obtained from TSCreate()
1533 
1534    Output Parameter:
1535 .  iter - number of steps completed so far
1536 
1537    Level: intermediate
1538 
1539 .keywords: TS, timestep, get, iteration, number
1540 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1541 @*/
1542 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1543 {
1544   PetscFunctionBegin;
1545   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1546   PetscValidIntPointer(iter,2);
1547   *iter = ts->steps;
1548   PetscFunctionReturn(0);
1549 }
1550 
1551 #undef __FUNCT__
1552 #define __FUNCT__ "TSSetInitialTimeStep"
1553 /*@
1554    TSSetInitialTimeStep - Sets the initial timestep to be used,
1555    as well as the initial time.
1556 
1557    Logically Collective on TS
1558 
1559    Input Parameters:
1560 +  ts - the TS context obtained from TSCreate()
1561 .  initial_time - the initial time
1562 -  time_step - the size of the timestep
1563 
1564    Level: intermediate
1565 
1566 .seealso: TSSetTimeStep(), TSGetTimeStep()
1567 
1568 .keywords: TS, set, initial, timestep
1569 @*/
1570 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1571 {
1572   PetscErrorCode ierr;
1573 
1574   PetscFunctionBegin;
1575   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1576   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1577   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1578   PetscFunctionReturn(0);
1579 }
1580 
1581 #undef __FUNCT__
1582 #define __FUNCT__ "TSSetTimeStep"
1583 /*@
1584    TSSetTimeStep - Allows one to reset the timestep at any time,
1585    useful for simple pseudo-timestepping codes.
1586 
1587    Logically Collective on TS
1588 
1589    Input Parameters:
1590 +  ts - the TS context obtained from TSCreate()
1591 -  time_step - the size of the timestep
1592 
1593    Level: intermediate
1594 
1595 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1596 
1597 .keywords: TS, set, timestep
1598 @*/
1599 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1600 {
1601   PetscFunctionBegin;
1602   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1603   PetscValidLogicalCollectiveReal(ts,time_step,2);
1604   ts->time_step      = time_step;
1605   ts->time_step_orig = time_step;
1606   PetscFunctionReturn(0);
1607 }
1608 
1609 #undef __FUNCT__
1610 #define __FUNCT__ "TSSetExactFinalTime"
1611 /*@
1612    TSSetExactFinalTime - Determines whether to adapt the final time step to
1613      match the exact final time, interpolate solution to the exact final time,
1614      or just return at the final time TS computed.
1615 
1616   Logically Collective on TS
1617 
1618    Input Parameter:
1619 +   ts - the time-step context
1620 -   eftopt - exact final time option
1621 
1622    Level: beginner
1623 
1624 .seealso: TSExactFinalTimeOption
1625 @*/
1626 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1627 {
1628   PetscFunctionBegin;
1629   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1630   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1631   ts->exact_final_time = eftopt;
1632   PetscFunctionReturn(0);
1633 }
1634 
1635 #undef __FUNCT__
1636 #define __FUNCT__ "TSGetTimeStep"
1637 /*@
1638    TSGetTimeStep - Gets the current timestep size.
1639 
1640    Not Collective
1641 
1642    Input Parameter:
1643 .  ts - the TS context obtained from TSCreate()
1644 
1645    Output Parameter:
1646 .  dt - the current timestep size
1647 
1648    Level: intermediate
1649 
1650 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1651 
1652 .keywords: TS, get, timestep
1653 @*/
1654 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1655 {
1656   PetscFunctionBegin;
1657   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1658   PetscValidRealPointer(dt,2);
1659   *dt = ts->time_step;
1660   PetscFunctionReturn(0);
1661 }
1662 
1663 #undef __FUNCT__
1664 #define __FUNCT__ "TSGetSolution"
1665 /*@
1666    TSGetSolution - Returns the solution at the present timestep. It
1667    is valid to call this routine inside the function that you are evaluating
1668    in order to move to the new timestep. This vector not changed until
1669    the solution at the next timestep has been calculated.
1670 
1671    Not Collective, but Vec returned is parallel if TS is parallel
1672 
1673    Input Parameter:
1674 .  ts - the TS context obtained from TSCreate()
1675 
1676    Output Parameter:
1677 .  v - the vector containing the solution
1678 
1679    Level: intermediate
1680 
1681 .seealso: TSGetTimeStep()
1682 
1683 .keywords: TS, timestep, get, solution
1684 @*/
1685 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1686 {
1687   PetscFunctionBegin;
1688   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1689   PetscValidPointer(v,2);
1690   *v = ts->vec_sol;
1691   PetscFunctionReturn(0);
1692 }
1693 
1694 #undef __FUNCT__
1695 #define __FUNCT__ "TSAdjointGetGradients"
1696 /*@
1697    TSAdjointGetGradients - Returns the gradients from the TSAdjointSolve()
1698 
1699    Not Collective, but Vec returned is parallel if TS is parallel
1700 
1701    Input Parameter:
1702 .  ts - the TS context obtained from TSCreate()
1703 
1704    Output Parameter:
1705 +  v - vectors containing the gradients with respect to the ODE/DAE solution variables
1706 -  w - vectors containing the gradients with respect to the problem parameters
1707 
1708    Level: intermediate
1709 
1710 .seealso: TSGetTimeStep()
1711 
1712 .keywords: TS, timestep, get, sensitivity
1713 @*/
1714 PetscErrorCode  TSAdjointGetGradients(TS ts,PetscInt *numberadjs,Vec **v,Vec **w)
1715 {
1716   PetscFunctionBegin;
1717   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1718   if (numberadjs) *numberadjs = ts->numberadjs;
1719   if (v)          *v          = ts->vecs_sensi;
1720   if (w)          *w          = ts->vecs_sensip;
1721   PetscFunctionReturn(0);
1722 }
1723 
1724 /* ----- Routines to initialize and destroy a timestepper ---- */
1725 #undef __FUNCT__
1726 #define __FUNCT__ "TSSetProblemType"
1727 /*@
1728   TSSetProblemType - Sets the type of problem to be solved.
1729 
1730   Not collective
1731 
1732   Input Parameters:
1733 + ts   - The TS
1734 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1735 .vb
1736          U_t - A U = 0      (linear)
1737          U_t - A(t) U = 0   (linear)
1738          F(t,U,U_t) = 0     (nonlinear)
1739 .ve
1740 
1741    Level: beginner
1742 
1743 .keywords: TS, problem type
1744 .seealso: TSSetUp(), TSProblemType, TS
1745 @*/
1746 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1747 {
1748   PetscErrorCode ierr;
1749 
1750   PetscFunctionBegin;
1751   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1752   ts->problem_type = type;
1753   if (type == TS_LINEAR) {
1754     SNES snes;
1755     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1756     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1757   }
1758   PetscFunctionReturn(0);
1759 }
1760 
1761 #undef __FUNCT__
1762 #define __FUNCT__ "TSGetProblemType"
1763 /*@C
1764   TSGetProblemType - Gets the type of problem to be solved.
1765 
1766   Not collective
1767 
1768   Input Parameter:
1769 . ts   - The TS
1770 
1771   Output Parameter:
1772 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1773 .vb
1774          M U_t = A U
1775          M(t) U_t = A(t) U
1776          F(t,U,U_t)
1777 .ve
1778 
1779    Level: beginner
1780 
1781 .keywords: TS, problem type
1782 .seealso: TSSetUp(), TSProblemType, TS
1783 @*/
1784 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1785 {
1786   PetscFunctionBegin;
1787   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1788   PetscValidIntPointer(type,2);
1789   *type = ts->problem_type;
1790   PetscFunctionReturn(0);
1791 }
1792 
1793 #undef __FUNCT__
1794 #define __FUNCT__ "TSSetUp"
1795 /*@
1796    TSSetUp - Sets up the internal data structures for the later use
1797    of a timestepper.
1798 
1799    Collective on TS
1800 
1801    Input Parameter:
1802 .  ts - the TS context obtained from TSCreate()
1803 
1804    Notes:
1805    For basic use of the TS solvers the user need not explicitly call
1806    TSSetUp(), since these actions will automatically occur during
1807    the call to TSStep().  However, if one wishes to control this
1808    phase separately, TSSetUp() should be called after TSCreate()
1809    and optional routines of the form TSSetXXX(), but before TSStep().
1810 
1811    Level: advanced
1812 
1813 .keywords: TS, timestep, setup
1814 
1815 .seealso: TSCreate(), TSStep(), TSDestroy()
1816 @*/
1817 PetscErrorCode  TSSetUp(TS ts)
1818 {
1819   PetscErrorCode ierr;
1820   DM             dm;
1821   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1822   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1823   TSIJacobian    ijac;
1824   TSRHSJacobian  rhsjac;
1825 
1826   PetscFunctionBegin;
1827   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1828   if (ts->setupcalled) PetscFunctionReturn(0);
1829 
1830   ts->total_steps = 0;
1831   if (!((PetscObject)ts)->type_name) {
1832     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1833   }
1834 
1835   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1836 
1837 
1838   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1839 
1840   if (ts->rhsjacobian.reuse) {
1841     Mat Amat,Pmat;
1842     SNES snes;
1843     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1844     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1845     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1846      * have displaced the RHS matrix */
1847     if (Amat == ts->Arhs) {
1848       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1849       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1850       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1851     }
1852     if (Pmat == ts->Brhs) {
1853       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1854       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1855       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1856     }
1857   }
1858   if (ts->ops->setup) {
1859     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1860   }
1861 
1862   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1863    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1864    */
1865   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1866   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1867   if (!func) {
1868     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1869   }
1870   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1871      Otherwise, the SNES will use coloring internally to form the Jacobian.
1872    */
1873   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1874   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1875   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1876   if (!jac && (ijac || rhsjac)) {
1877     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1878   }
1879   ts->setupcalled = PETSC_TRUE;
1880   PetscFunctionReturn(0);
1881 }
1882 
1883 #undef __FUNCT__
1884 #define __FUNCT__ "TSAdjointSetUp"
1885 /*@
1886    TSAdjointSetUp - Sets up the internal data structures for the later use
1887    of an adjoint solver
1888 
1889    Collective on TS
1890 
1891    Input Parameter:
1892 .  ts - the TS context obtained from TSCreate()
1893 
1894    Notes:
1895    For basic use of the TS solvers the user need not explicitly call
1896    TSSetUp(), since these actions will automatically occur during
1897    the call to TSStep().  However, if one wishes to control this
1898    phase separately, TSSetUp() should be called after TSCreate()
1899    and optional routines of the form TSSetXXX(), but before TSStep().
1900 
1901    Level: advanced
1902 
1903 .keywords: TS, timestep, setup
1904 
1905 .seealso: TSCreate(), TSStep(), TSDestroy()
1906 @*/
1907 PetscErrorCode  TSAdjointSetUp(TS ts)
1908 {
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1913   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
1914   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSAdjointSetGradients() first");
1915   if (ts->ops->adjointsetup) {
1916     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
1917   }
1918   ts->adjointsetupcalled = PETSC_TRUE;
1919   PetscFunctionReturn(0);
1920 }
1921 
1922 #undef __FUNCT__
1923 #define __FUNCT__ "TSReset"
1924 /*@
1925    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1926 
1927    Collective on TS
1928 
1929    Input Parameter:
1930 .  ts - the TS context obtained from TSCreate()
1931 
1932    Level: beginner
1933 
1934 .keywords: TS, timestep, reset
1935 
1936 .seealso: TSCreate(), TSSetup(), TSDestroy()
1937 @*/
1938 PetscErrorCode  TSReset(TS ts)
1939 {
1940   PetscErrorCode ierr;
1941 
1942   PetscFunctionBegin;
1943   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1944 
1945   if (ts->ops->reset) {
1946     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1947   }
1948   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1949 
1950   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1951   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1952   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1953   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1954   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1955   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1956   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1957   ts->vecs_sensi = 0;
1958   ts->vecs_sensip = 0;
1959   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
1960   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
1961   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
1962   ts->setupcalled = PETSC_FALSE;
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 #undef __FUNCT__
1967 #define __FUNCT__ "TSDestroy"
1968 /*@
1969    TSDestroy - Destroys the timestepper context that was created
1970    with TSCreate().
1971 
1972    Collective on TS
1973 
1974    Input Parameter:
1975 .  ts - the TS context obtained from TSCreate()
1976 
1977    Level: beginner
1978 
1979 .keywords: TS, timestepper, destroy
1980 
1981 .seealso: TSCreate(), TSSetUp(), TSSolve()
1982 @*/
1983 PetscErrorCode  TSDestroy(TS *ts)
1984 {
1985   PetscErrorCode ierr;
1986 
1987   PetscFunctionBegin;
1988   if (!*ts) PetscFunctionReturn(0);
1989   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1990   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1991 
1992   ierr = TSReset((*ts));CHKERRQ(ierr);
1993 
1994   /* if memory was published with SAWs then destroy it */
1995   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
1996   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1997 
1998   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
1999 
2000   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2001   if ((*ts)->event) {
2002     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2003   }
2004   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2005   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2006   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2007 
2008   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2009   PetscFunctionReturn(0);
2010 }
2011 
2012 #undef __FUNCT__
2013 #define __FUNCT__ "TSGetSNES"
2014 /*@
2015    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2016    a TS (timestepper) context. Valid only for nonlinear problems.
2017 
2018    Not Collective, but SNES is parallel if TS is parallel
2019 
2020    Input Parameter:
2021 .  ts - the TS context obtained from TSCreate()
2022 
2023    Output Parameter:
2024 .  snes - the nonlinear solver context
2025 
2026    Notes:
2027    The user can then directly manipulate the SNES context to set various
2028    options, etc.  Likewise, the user can then extract and manipulate the
2029    KSP, KSP, and PC contexts as well.
2030 
2031    TSGetSNES() does not work for integrators that do not use SNES; in
2032    this case TSGetSNES() returns NULL in snes.
2033 
2034    Level: beginner
2035 
2036 .keywords: timestep, get, SNES
2037 @*/
2038 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2039 {
2040   PetscErrorCode ierr;
2041 
2042   PetscFunctionBegin;
2043   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2044   PetscValidPointer(snes,2);
2045   if (!ts->snes) {
2046     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2047     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2048     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2049     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2050     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2051     if (ts->problem_type == TS_LINEAR) {
2052       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2053     }
2054   }
2055   *snes = ts->snes;
2056   PetscFunctionReturn(0);
2057 }
2058 
2059 #undef __FUNCT__
2060 #define __FUNCT__ "TSSetSNES"
2061 /*@
2062    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2063 
2064    Collective
2065 
2066    Input Parameter:
2067 +  ts - the TS context obtained from TSCreate()
2068 -  snes - the nonlinear solver context
2069 
2070    Notes:
2071    Most users should have the TS created by calling TSGetSNES()
2072 
2073    Level: developer
2074 
2075 .keywords: timestep, set, SNES
2076 @*/
2077 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2078 {
2079   PetscErrorCode ierr;
2080   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2081 
2082   PetscFunctionBegin;
2083   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2084   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2085   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2086   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2087 
2088   ts->snes = snes;
2089 
2090   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2091   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2092   if (func == SNESTSFormJacobian) {
2093     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2094   }
2095   PetscFunctionReturn(0);
2096 }
2097 
2098 #undef __FUNCT__
2099 #define __FUNCT__ "TSGetKSP"
2100 /*@
2101    TSGetKSP - Returns the KSP (linear solver) associated with
2102    a TS (timestepper) context.
2103 
2104    Not Collective, but KSP is parallel if TS is parallel
2105 
2106    Input Parameter:
2107 .  ts - the TS context obtained from TSCreate()
2108 
2109    Output Parameter:
2110 .  ksp - the nonlinear solver context
2111 
2112    Notes:
2113    The user can then directly manipulate the KSP context to set various
2114    options, etc.  Likewise, the user can then extract and manipulate the
2115    KSP and PC contexts as well.
2116 
2117    TSGetKSP() does not work for integrators that do not use KSP;
2118    in this case TSGetKSP() returns NULL in ksp.
2119 
2120    Level: beginner
2121 
2122 .keywords: timestep, get, KSP
2123 @*/
2124 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2125 {
2126   PetscErrorCode ierr;
2127   SNES           snes;
2128 
2129   PetscFunctionBegin;
2130   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2131   PetscValidPointer(ksp,2);
2132   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2133   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2134   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2135   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2136   PetscFunctionReturn(0);
2137 }
2138 
2139 /* ----------- Routines to set solver parameters ---------- */
2140 
2141 #undef __FUNCT__
2142 #define __FUNCT__ "TSGetDuration"
2143 /*@
2144    TSGetDuration - Gets the maximum number of timesteps to use and
2145    maximum time for iteration.
2146 
2147    Not Collective
2148 
2149    Input Parameters:
2150 +  ts       - the TS context obtained from TSCreate()
2151 .  maxsteps - maximum number of iterations to use, or NULL
2152 -  maxtime  - final time to iterate to, or NULL
2153 
2154    Level: intermediate
2155 
2156 .keywords: TS, timestep, get, maximum, iterations, time
2157 @*/
2158 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2159 {
2160   PetscFunctionBegin;
2161   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2162   if (maxsteps) {
2163     PetscValidIntPointer(maxsteps,2);
2164     *maxsteps = ts->max_steps;
2165   }
2166   if (maxtime) {
2167     PetscValidScalarPointer(maxtime,3);
2168     *maxtime = ts->max_time;
2169   }
2170   PetscFunctionReturn(0);
2171 }
2172 
2173 #undef __FUNCT__
2174 #define __FUNCT__ "TSSetDuration"
2175 /*@
2176    TSSetDuration - Sets the maximum number of timesteps to use and
2177    maximum time for iteration.
2178 
2179    Logically Collective on TS
2180 
2181    Input Parameters:
2182 +  ts - the TS context obtained from TSCreate()
2183 .  maxsteps - maximum number of iterations to use
2184 -  maxtime - final time to iterate to
2185 
2186    Options Database Keys:
2187 .  -ts_max_steps <maxsteps> - Sets maxsteps
2188 .  -ts_final_time <maxtime> - Sets maxtime
2189 
2190    Notes:
2191    The default maximum number of iterations is 5000. Default time is 5.0
2192 
2193    Level: intermediate
2194 
2195 .keywords: TS, timestep, set, maximum, iterations
2196 
2197 .seealso: TSSetExactFinalTime()
2198 @*/
2199 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2200 {
2201   PetscFunctionBegin;
2202   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2203   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2204   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2205   if (maxsteps >= 0) ts->max_steps = maxsteps;
2206   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2207   PetscFunctionReturn(0);
2208 }
2209 
2210 #undef __FUNCT__
2211 #define __FUNCT__ "TSSetSolution"
2212 /*@
2213    TSSetSolution - Sets the initial solution vector
2214    for use by the TS routines.
2215 
2216    Logically Collective on TS and Vec
2217 
2218    Input Parameters:
2219 +  ts - the TS context obtained from TSCreate()
2220 -  u - the solution vector
2221 
2222    Level: beginner
2223 
2224 .keywords: TS, timestep, set, solution, initial conditions
2225 @*/
2226 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2227 {
2228   PetscErrorCode ierr;
2229   DM             dm;
2230 
2231   PetscFunctionBegin;
2232   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2233   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2234   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2235   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2236 
2237   ts->vec_sol = u;
2238 
2239   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2240   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2241   PetscFunctionReturn(0);
2242 }
2243 
2244 #undef __FUNCT__
2245 #define __FUNCT__ "TSAdjointSetSteps"
2246 /*@
2247    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2248 
2249    Logically Collective on TS
2250 
2251    Input Parameters:
2252 +  ts - the TS context obtained from TSCreate()
2253 .  steps - number of steps to use
2254 
2255    Level: intermediate
2256 
2257    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2258           so as to integrate back to less than the original timestep
2259 
2260 .keywords: TS, timestep, set, maximum, iterations
2261 
2262 .seealso: TSSetExactFinalTime()
2263 @*/
2264 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2265 {
2266   PetscFunctionBegin;
2267   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2268   PetscValidLogicalCollectiveInt(ts,steps,2);
2269   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2270   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2271   ts->adjoint_max_steps = steps;
2272   PetscFunctionReturn(0);
2273 }
2274 
2275 #undef __FUNCT__
2276 #define __FUNCT__ "TSAdjointSetGradients"
2277 /*@
2278    TSAdjointSetGradients - Sets the initial value of gradients w.r.t. initial conditions and w.r.t. the problem parameters  for use by the TS routines.
2279 
2280    Logically Collective on TS and Vec
2281 
2282    Input Parameters:
2283 +  ts - the TS context obtained from TSCreate()
2284 .  u - gradients with respect to the initial condition variables
2285 -  w - gradients with respect to the parameters
2286 
2287    Level: beginner
2288 
2289 .keywords: TS, timestep, set, sensitivity, initial conditions
2290 @*/
2291 PetscErrorCode  TSAdjointSetGradients(TS ts,PetscInt numberadjs,Vec *u,Vec *w)
2292 {
2293   PetscFunctionBegin;
2294   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2295   PetscValidPointer(u,2);
2296   ts->vecs_sensi  = u;
2297   ts->vecs_sensip = w;
2298   ts->numberadjs  = numberadjs;
2299   PetscFunctionReturn(0);
2300 }
2301 
2302 #undef __FUNCT__
2303 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2304 /*@C
2305   TSAdjointSetRHSJacobian - Sets the function that computes the Jacobian w.r.t. parameters.
2306 
2307   Logically Collective on TS
2308 
2309   Input Parameters:
2310 + ts   - The TS context obtained from TSCreate()
2311 - func - The function
2312 
2313   Calling sequence of func:
2314 $ func (TS ts,PetscReal t,Vec u,Mat A,void *ctx);
2315 +   t - current timestep
2316 .   u - input vector
2317 .   A - output matrix
2318 -   ctx - [optional] user-defined function context
2319 
2320   Level: intermediate
2321 
2322 .keywords: TS, sensitivity
2323 .seealso:
2324 @*/
2325 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2326 {
2327   PetscErrorCode ierr;
2328 
2329   PetscFunctionBegin;
2330   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2331   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2332 
2333   ts->rhsjacobianp    = func;
2334   ts->rhsjacobianpctx = ctx;
2335   if(Amat) {
2336     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2337     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2338 
2339     ts->Jacp = Amat;
2340   }
2341   PetscFunctionReturn(0);
2342 }
2343 
2344 #undef __FUNCT__
2345 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2346 /*@
2347   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2348 
2349   Collective on TS
2350 
2351   Input Parameters:
2352 . ts   - The TS context obtained from TSCreate()
2353 
2354   Level: developer
2355 
2356 .keywords: TS, sensitivity
2357 .seealso: TSAdjointSetRHSJacobian()
2358 @*/
2359 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2360 {
2361   PetscErrorCode ierr;
2362 
2363   PetscFunctionBegin;
2364   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2365   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2366   PetscValidPointer(Amat,4);
2367 
2368   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2369   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2370   PetscStackPop;
2371 
2372   PetscFunctionReturn(0);
2373 }
2374 
2375 #undef __FUNCT__
2376 #define __FUNCT__ "TSAdjointSetCostIntegrand"
2377 /*@C
2378     TSAdjointSetCostIntegrand - Sets the routine for evaluating the integral term in a cost function
2379 
2380     Logically Collective on TS
2381 
2382     Input Parameters:
2383 +   ts - the TS context obtained from TSCreate()
2384 .   numberadjs - number of gradients to be computed
2385 .   fq - routine for evaluating the right-hand-side function
2386 .   drdy - array of vectors to contain the gradient of the r's with respect to y, NULL if not a function of y
2387 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2388 .   drdp - array of vectors to contain the gradient of the r's with respect to p, NULL if not a function of p
2389 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2390 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2391 
2392     Calling sequence of fq:
2393 $     TSCostIntegrand(TS ts,PetscReal t,Vec u,PetscReal *f,void *ctx);
2394 
2395 +   t - current timestep
2396 .   u - input vector
2397 .   f - function vector
2398 -   ctx - [optional] user-defined function context
2399 
2400    Calling sequence of drdyf:
2401 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec U,Vec *drdy,void *ctx);
2402 
2403    Calling sequence of drdpf:
2404 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec U,Vec *drdp,void *ctx);
2405 
2406     Level: intermediate
2407 
2408 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2409 
2410 .seealso: TSAdjointSetRHSJacobian(),TSAdjointGetGradients(), TSAdjointSetGradients()
2411 @*/
2412 PetscErrorCode  TSAdjointSetCostIntegrand(TS ts,PetscInt numberadjs,          PetscErrorCode (*fq)(TS,PetscReal,Vec,Vec,void*),
2413                                                                     Vec *drdy,PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2414                                                                     Vec *drdp,PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2415 {
2416   PetscErrorCode ierr;
2417 
2418   PetscFunctionBegin;
2419   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2420   if (!ts->numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Call TSAdjointSetGradients() first so that the number of cost functions can be determined.");
2421   if (ts->numberadjs && ts->numberadjs!=numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSAdjointSetCostIntegrand()) is inconsistent with the one set by TSAdjointSetGradients()");
2422 
2423   ierr                  = VecCreateSeq(PETSC_COMM_SELF,numberadjs,&ts->vec_costintegral);CHKERRQ(ierr);
2424   ierr                  = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2425   ts->costintegrand     = fq;
2426   ts->costintegrandctx  = ctx;
2427 
2428   ts->drdyfunction    = drdyf;
2429   ts->vecs_drdy       = drdy;
2430 
2431   ts->drdpfunction    = drdpf;
2432   ts->vecs_drdp       = drdp;
2433 
2434   PetscFunctionReturn(0);
2435 }
2436 
2437 #undef __FUNCT__
2438 #define __FUNCT__ "TSAdjointGetCostIntegral"
2439 /*@
2440    TSAdjointGetCostIntegral - Returns the values of the integral term in the cost functions.
2441    It is valid to call the routine after a backward run.
2442 
2443    Not Collective
2444 
2445    Input Parameter:
2446 .  ts - the TS context obtained from TSCreate()
2447 
2448    Output Parameter:
2449 .  v - the vector containing the integrals for each cost function
2450 
2451    Level: intermediate
2452 
2453 .seealso: TSAdjointSetCostIntegrand()
2454 
2455 .keywords: TS, sensitivity analysis
2456 @*/
2457 PetscErrorCode  TSAdjointGetCostIntegral(TS ts,Vec *v)
2458 {
2459   PetscFunctionBegin;
2460   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2461   PetscValidPointer(v,2);
2462   *v = ts->vec_costintegral;
2463   PetscFunctionReturn(0);
2464 }
2465 
2466 #undef __FUNCT__
2467 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2468 /*@
2469    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2470 
2471    Input Parameters:
2472 +  ts - the TS context
2473 .  t - current time
2474 -  U - state vector
2475 
2476    Output Parameter:
2477 .  q - vector of size numberadjs to hold the outputs
2478 
2479    Note:
2480    Most users should not need to explicitly call this routine, as it
2481    is used internally within the sensitivity analysis context.
2482 
2483    Level: developer
2484 
2485 .keywords: TS, compute
2486 
2487 .seealso: TSAdjointSetCostIntegrand()
2488 @*/
2489 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec U,Vec q)
2490 {
2491   PetscErrorCode ierr;
2492 
2493   PetscFunctionBegin;
2494   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2495   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2496   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2497 
2498   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,q,0);CHKERRQ(ierr);
2499   if (ts->costintegrand) {
2500     PetscStackPush("TS user integrand in the cost function");
2501     ierr = (*ts->costintegrand)(ts,t,U,q,ts->costintegrandctx);CHKERRQ(ierr);
2502     PetscStackPop;
2503   } else {
2504     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2505   }
2506 
2507   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,q,0);CHKERRQ(ierr);
2508   PetscFunctionReturn(0);
2509 }
2510 
2511 #undef __FUNCT__
2512 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2513 /*@
2514   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2515 
2516   Collective on TS
2517 
2518   Input Parameters:
2519 . ts   - The TS context obtained from TSCreate()
2520 
2521   Notes:
2522   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2523   so most users would not generally call this routine themselves.
2524 
2525   Level: developer
2526 
2527 .keywords: TS, sensitivity
2528 .seealso: TSAdjointComputeDRDYFunction()
2529 @*/
2530 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec X,Vec *drdy)
2531 {
2532   PetscErrorCode ierr;
2533 
2534   PetscFunctionBegin;
2535   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2536   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2537 
2538   PetscStackPush("TS user DRDY function for sensitivity analysis");
2539   ierr = (*ts->drdyfunction)(ts,t,X,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2540   PetscStackPop;
2541   PetscFunctionReturn(0);
2542 }
2543 
2544 #undef __FUNCT__
2545 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2546 /*@
2547   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2548 
2549   Collective on TS
2550 
2551   Input Parameters:
2552 . ts   - The TS context obtained from TSCreate()
2553 
2554   Notes:
2555   TSDRDPFunction() is typically used for sensitivity implementation,
2556   so most users would not generally call this routine themselves.
2557 
2558   Level: developer
2559 
2560 .keywords: TS, sensitivity
2561 .seealso: TSAdjointSetDRDPFunction()
2562 @*/
2563 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec X,Vec *drdp)
2564 {
2565   PetscErrorCode ierr;
2566 
2567   PetscFunctionBegin;
2568   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2569   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2570 
2571   PetscStackPush("TS user DRDP function for sensitivity analysis");
2572   ierr = (*ts->drdpfunction)(ts,t,X,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2573   PetscStackPop;
2574   PetscFunctionReturn(0);
2575 }
2576 
2577 #undef __FUNCT__
2578 #define __FUNCT__ "TSSetPreStep"
2579 /*@C
2580   TSSetPreStep - Sets the general-purpose function
2581   called once at the beginning of each time step.
2582 
2583   Logically Collective on TS
2584 
2585   Input Parameters:
2586 + ts   - The TS context obtained from TSCreate()
2587 - func - The function
2588 
2589   Calling sequence of func:
2590 . func (TS ts);
2591 
2592   Level: intermediate
2593 
2594   Note:
2595   If a step is rejected, TSStep() will call this routine again before each attempt.
2596   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2597   size of the step being attempted can be obtained using TSGetTimeStep().
2598 
2599 .keywords: TS, timestep
2600 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2601 @*/
2602 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2603 {
2604   PetscFunctionBegin;
2605   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2606   ts->prestep = func;
2607   PetscFunctionReturn(0);
2608 }
2609 
2610 #undef __FUNCT__
2611 #define __FUNCT__ "TSPreStep"
2612 /*@
2613   TSPreStep - Runs the user-defined pre-step function.
2614 
2615   Collective on TS
2616 
2617   Input Parameters:
2618 . ts   - The TS context obtained from TSCreate()
2619 
2620   Notes:
2621   TSPreStep() is typically used within time stepping implementations,
2622   so most users would not generally call this routine themselves.
2623 
2624   Level: developer
2625 
2626 .keywords: TS, timestep
2627 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2628 @*/
2629 PetscErrorCode  TSPreStep(TS ts)
2630 {
2631   PetscErrorCode ierr;
2632 
2633   PetscFunctionBegin;
2634   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2635   if (ts->prestep) {
2636     PetscStackCallStandard((*ts->prestep),(ts));
2637   }
2638   PetscFunctionReturn(0);
2639 }
2640 
2641 #undef __FUNCT__
2642 #define __FUNCT__ "TSSetPreStage"
2643 /*@C
2644   TSSetPreStage - Sets the general-purpose function
2645   called once at the beginning of each stage.
2646 
2647   Logically Collective on TS
2648 
2649   Input Parameters:
2650 + ts   - The TS context obtained from TSCreate()
2651 - func - The function
2652 
2653   Calling sequence of func:
2654 . PetscErrorCode func(TS ts, PetscReal stagetime);
2655 
2656   Level: intermediate
2657 
2658   Note:
2659   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2660   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2661   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2662 
2663 .keywords: TS, timestep
2664 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2665 @*/
2666 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2667 {
2668   PetscFunctionBegin;
2669   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2670   ts->prestage = func;
2671   PetscFunctionReturn(0);
2672 }
2673 
2674 #undef __FUNCT__
2675 #define __FUNCT__ "TSSetPostStage"
2676 /*@C
2677   TSSetPostStage - Sets the general-purpose function
2678   called once at the end of each stage.
2679 
2680   Logically Collective on TS
2681 
2682   Input Parameters:
2683 + ts   - The TS context obtained from TSCreate()
2684 - func - The function
2685 
2686   Calling sequence of func:
2687 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2688 
2689   Level: intermediate
2690 
2691   Note:
2692   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2693   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2694   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2695 
2696 .keywords: TS, timestep
2697 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2698 @*/
2699 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2700 {
2701   PetscFunctionBegin;
2702   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2703   ts->poststage = func;
2704   PetscFunctionReturn(0);
2705 }
2706 
2707 #undef __FUNCT__
2708 #define __FUNCT__ "TSPreStage"
2709 /*@
2710   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2711 
2712   Collective on TS
2713 
2714   Input Parameters:
2715 . ts          - The TS context obtained from TSCreate()
2716   stagetime   - The absolute time of the current stage
2717 
2718   Notes:
2719   TSPreStage() is typically used within time stepping implementations,
2720   most users would not generally call this routine themselves.
2721 
2722   Level: developer
2723 
2724 .keywords: TS, timestep
2725 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2726 @*/
2727 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2728 {
2729   PetscErrorCode ierr;
2730 
2731   PetscFunctionBegin;
2732   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2733   if (ts->prestage) {
2734     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2735   }
2736   PetscFunctionReturn(0);
2737 }
2738 
2739 #undef __FUNCT__
2740 #define __FUNCT__ "TSPostStage"
2741 /*@
2742   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2743 
2744   Collective on TS
2745 
2746   Input Parameters:
2747 . ts          - The TS context obtained from TSCreate()
2748   stagetime   - The absolute time of the current stage
2749   stageindex  - Stage number
2750   Y           - Array of vectors (of size = total number
2751                 of stages) with the stage solutions
2752 
2753   Notes:
2754   TSPostStage() is typically used within time stepping implementations,
2755   most users would not generally call this routine themselves.
2756 
2757   Level: developer
2758 
2759 .keywords: TS, timestep
2760 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2761 @*/
2762 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2763 {
2764   PetscErrorCode ierr;
2765 
2766   PetscFunctionBegin;
2767   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2768   if (ts->poststage) {
2769     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2770   }
2771   PetscFunctionReturn(0);
2772 }
2773 
2774 #undef __FUNCT__
2775 #define __FUNCT__ "TSSetPostStep"
2776 /*@C
2777   TSSetPostStep - Sets the general-purpose function
2778   called once at the end of each time step.
2779 
2780   Logically Collective on TS
2781 
2782   Input Parameters:
2783 + ts   - The TS context obtained from TSCreate()
2784 - func - The function
2785 
2786   Calling sequence of func:
2787 $ func (TS ts);
2788 
2789   Level: intermediate
2790 
2791 .keywords: TS, timestep
2792 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2793 @*/
2794 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2795 {
2796   PetscFunctionBegin;
2797   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2798   ts->poststep = func;
2799   PetscFunctionReturn(0);
2800 }
2801 
2802 #undef __FUNCT__
2803 #define __FUNCT__ "TSPostStep"
2804 /*@
2805   TSPostStep - Runs the user-defined post-step function.
2806 
2807   Collective on TS
2808 
2809   Input Parameters:
2810 . ts   - The TS context obtained from TSCreate()
2811 
2812   Notes:
2813   TSPostStep() is typically used within time stepping implementations,
2814   so most users would not generally call this routine themselves.
2815 
2816   Level: developer
2817 
2818 .keywords: TS, timestep
2819 @*/
2820 PetscErrorCode  TSPostStep(TS ts)
2821 {
2822   PetscErrorCode ierr;
2823 
2824   PetscFunctionBegin;
2825   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2826   if (ts->poststep) {
2827     PetscStackCallStandard((*ts->poststep),(ts));
2828   }
2829   PetscFunctionReturn(0);
2830 }
2831 
2832 /* ------------ Routines to set performance monitoring options ----------- */
2833 
2834 #undef __FUNCT__
2835 #define __FUNCT__ "TSMonitorSet"
2836 /*@C
2837    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2838    timestep to display the iteration's  progress.
2839 
2840    Logically Collective on TS
2841 
2842    Input Parameters:
2843 +  ts - the TS context obtained from TSCreate()
2844 .  monitor - monitoring routine
2845 .  mctx - [optional] user-defined context for private data for the
2846              monitor routine (use NULL if no context is desired)
2847 -  monitordestroy - [optional] routine that frees monitor context
2848           (may be NULL)
2849 
2850    Calling sequence of monitor:
2851 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2852 
2853 +    ts - the TS context
2854 .    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
2855                                been interpolated to)
2856 .    time - current time
2857 .    u - current iterate
2858 -    mctx - [optional] monitoring context
2859 
2860    Notes:
2861    This routine adds an additional monitor to the list of monitors that
2862    already has been loaded.
2863 
2864    Fortran notes: Only a single monitor function can be set for each TS object
2865 
2866    Level: intermediate
2867 
2868 .keywords: TS, timestep, set, monitor
2869 
2870 .seealso: TSMonitorDefault(), TSMonitorCancel()
2871 @*/
2872 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2873 {
2874   PetscFunctionBegin;
2875   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2876   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2877   ts->monitor[ts->numbermonitors]          = monitor;
2878   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2879   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2880   PetscFunctionReturn(0);
2881 }
2882 
2883 #undef __FUNCT__
2884 #define __FUNCT__ "TSMonitorCancel"
2885 /*@C
2886    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2887 
2888    Logically Collective on TS
2889 
2890    Input Parameters:
2891 .  ts - the TS context obtained from TSCreate()
2892 
2893    Notes:
2894    There is no way to remove a single, specific monitor.
2895 
2896    Level: intermediate
2897 
2898 .keywords: TS, timestep, set, monitor
2899 
2900 .seealso: TSMonitorDefault(), TSMonitorSet()
2901 @*/
2902 PetscErrorCode  TSMonitorCancel(TS ts)
2903 {
2904   PetscErrorCode ierr;
2905   PetscInt       i;
2906 
2907   PetscFunctionBegin;
2908   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2909   for (i=0; i<ts->numbermonitors; i++) {
2910     if (ts->monitordestroy[i]) {
2911       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2912     }
2913   }
2914   ts->numbermonitors = 0;
2915   PetscFunctionReturn(0);
2916 }
2917 
2918 #undef __FUNCT__
2919 #define __FUNCT__ "TSMonitorDefault"
2920 /*@
2921    TSMonitorDefault - Sets the Default monitor
2922 
2923    Level: intermediate
2924 
2925 .keywords: TS, set, monitor
2926 
2927 .seealso: TSMonitorDefault(), TSMonitorSet()
2928 @*/
2929 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2930 {
2931   PetscErrorCode ierr;
2932   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2933 
2934   PetscFunctionBegin;
2935   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2936   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2937   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2938   PetscFunctionReturn(0);
2939 }
2940 
2941 #undef __FUNCT__
2942 #define __FUNCT__ "TSSetRetainStages"
2943 /*@
2944    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2945 
2946    Logically Collective on TS
2947 
2948    Input Argument:
2949 .  ts - time stepping context
2950 
2951    Output Argument:
2952 .  flg - PETSC_TRUE or PETSC_FALSE
2953 
2954    Level: intermediate
2955 
2956 .keywords: TS, set
2957 
2958 .seealso: TSInterpolate(), TSSetPostStep()
2959 @*/
2960 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2961 {
2962   PetscFunctionBegin;
2963   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2964   ts->retain_stages = flg;
2965   PetscFunctionReturn(0);
2966 }
2967 
2968 #undef __FUNCT__
2969 #define __FUNCT__ "TSInterpolate"
2970 /*@
2971    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2972 
2973    Collective on TS
2974 
2975    Input Argument:
2976 +  ts - time stepping context
2977 -  t - time to interpolate to
2978 
2979    Output Argument:
2980 .  U - state at given time
2981 
2982    Notes:
2983    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2984 
2985    Level: intermediate
2986 
2987    Developer Notes:
2988    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2989 
2990 .keywords: TS, set
2991 
2992 .seealso: TSSetRetainStages(), TSSetPostStep()
2993 @*/
2994 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2995 {
2996   PetscErrorCode ierr;
2997 
2998   PetscFunctionBegin;
2999   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3000   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3001   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);
3002   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3003   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3004   PetscFunctionReturn(0);
3005 }
3006 
3007 #undef __FUNCT__
3008 #define __FUNCT__ "TSStep"
3009 /*@
3010    TSStep - Steps one time step
3011 
3012    Collective on TS
3013 
3014    Input Parameter:
3015 .  ts - the TS context obtained from TSCreate()
3016 
3017    Level: developer
3018 
3019    Notes:
3020    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3021 
3022    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3023    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3024 
3025    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3026    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3027 
3028 .keywords: TS, timestep, solve
3029 
3030 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3031 @*/
3032 PetscErrorCode  TSStep(TS ts)
3033 {
3034   DM               dm;
3035   PetscErrorCode   ierr;
3036   static PetscBool cite = PETSC_FALSE;
3037 
3038   PetscFunctionBegin;
3039   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3040   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3041                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3042                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3043                                 "  type        = {Preprint},\n"
3044                                 "  number      = {ANL/MCS-P5061-0114},\n"
3045                                 "  institution = {Argonne National Laboratory},\n"
3046                                 "  year        = {2014}\n}\n",&cite);
3047 
3048   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3049   ierr = TSSetUp(ts);CHKERRQ(ierr);
3050 
3051   ts->reason = TS_CONVERGED_ITERATING;
3052   ts->ptime_prev = ts->ptime;
3053   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3054 
3055   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3056   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3057   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3058   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3059 
3060   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3061   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3062 
3063   if (ts->reason < 0) {
3064     if (ts->errorifstepfailed) {
3065       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) 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]);
3066       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3067     }
3068   } else if (!ts->reason) {
3069     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3070     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3071   }
3072   ts->total_steps++;
3073   PetscFunctionReturn(0);
3074 }
3075 
3076 #undef __FUNCT__
3077 #define __FUNCT__ "TSAdjointStep"
3078 /*@
3079    TSAdjointStep - Steps one time step
3080 
3081    Collective on TS
3082 
3083    Input Parameter:
3084 .  ts - the TS context obtained from TSCreate()
3085 
3086    Level: intermediate
3087 
3088    Notes:
3089    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3090    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3091 
3092    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3093    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3094 
3095 .keywords: TS, timestep, solve
3096 
3097 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3098 @*/
3099 PetscErrorCode  TSAdjointStep(TS ts)
3100 {
3101   DM               dm;
3102   PetscErrorCode   ierr;
3103 
3104   PetscFunctionBegin;
3105   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3106   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3107   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3108 
3109   ts->reason = TS_CONVERGED_ITERATING;
3110   ts->ptime_prev = ts->ptime;
3111   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3112   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3113 
3114   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3115   if (!ts->ops->adjointstep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed because the adjoint of  %s has not been implemented, try other time stepping methods for adjoint sensitivity analysis",((PetscObject)ts)->type_name);
3116   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3117   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3118 
3119   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3120   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3121 
3122   if (ts->reason < 0) {
3123     if (ts->errorifstepfailed) {
3124       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3125         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]);
3126       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3127         SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_reject or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
3128       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3129     }
3130   } else if (!ts->reason) {
3131     if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3132     else if (ts->ptime >= ts->max_time)         ts->reason = TS_CONVERGED_TIME;
3133   }
3134   ts->total_steps--;
3135   PetscFunctionReturn(0);
3136 }
3137 
3138 #undef __FUNCT__
3139 #define __FUNCT__ "TSEvaluateStep"
3140 /*@
3141    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3142 
3143    Collective on TS
3144 
3145    Input Arguments:
3146 +  ts - time stepping context
3147 .  order - desired order of accuracy
3148 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3149 
3150    Output Arguments:
3151 .  U - state at the end of the current step
3152 
3153    Level: advanced
3154 
3155    Notes:
3156    This function cannot be called until all stages have been evaluated.
3157    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.
3158 
3159 .seealso: TSStep(), TSAdapt
3160 @*/
3161 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3162 {
3163   PetscErrorCode ierr;
3164 
3165   PetscFunctionBegin;
3166   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3167   PetscValidType(ts,1);
3168   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3169   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3170   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3171   PetscFunctionReturn(0);
3172 }
3173 
3174 
3175 #undef __FUNCT__
3176 #define __FUNCT__ "TSSolve"
3177 /*@
3178    TSSolve - Steps the requested number of timesteps.
3179 
3180    Collective on TS
3181 
3182    Input Parameter:
3183 +  ts - the TS context obtained from TSCreate()
3184 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3185 
3186    Level: beginner
3187 
3188    Notes:
3189    The final time returned by this function may be different from the time of the internally
3190    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3191    stepped over the final time.
3192 
3193 .keywords: TS, timestep, solve
3194 
3195 .seealso: TSCreate(), TSSetSolution(), TSStep()
3196 @*/
3197 PetscErrorCode TSSolve(TS ts,Vec u)
3198 {
3199   Vec               solution;
3200   PetscErrorCode    ierr;
3201 
3202   PetscFunctionBegin;
3203   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3204   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3205   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 */
3206     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3207     if (!ts->vec_sol || u == ts->vec_sol) {
3208       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3209       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3210       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3211     }
3212     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3213   } else if (u) {
3214     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3215   }
3216   ierr = TSSetUp(ts);CHKERRQ(ierr); /*compute adj coefficients if the reverse mode is on*/
3217   /* reset time step and iteration counters */
3218   ts->steps             = 0;
3219   ts->ksp_its           = 0;
3220   ts->snes_its          = 0;
3221   ts->num_snes_failures = 0;
3222   ts->reject            = 0;
3223   ts->reason            = TS_CONVERGED_ITERATING;
3224 
3225   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3226 
3227   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3228     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3229     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3230     ts->solvetime = ts->ptime;
3231   } else {
3232     /* steps the requested number of timesteps. */
3233     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3234     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3235     while (!ts->reason) {
3236       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3237       ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3238       ierr = TSStep(ts);CHKERRQ(ierr);
3239       if (ts->event) {
3240 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3241 	if (ts->event->status != TSEVENT_PROCESSING) {
3242 	  ierr = TSPostStep(ts);CHKERRQ(ierr);
3243 	}
3244       } else {
3245 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3246       }
3247     }
3248     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3249       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3250       ts->solvetime = ts->max_time;
3251       solution = u;
3252     } else {
3253       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3254       ts->solvetime = ts->ptime;
3255       solution = ts->vec_sol;
3256     }
3257     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3258     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3259     ierr = VecViewFromOptions(solution, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3260   }
3261 
3262   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3263   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3264   PetscFunctionReturn(0);
3265 }
3266 
3267 #undef __FUNCT__
3268 #define __FUNCT__ "TSAdjointSolve"
3269 /*@
3270    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3271 
3272    Collective on TS
3273 
3274    Input Parameter:
3275 .  ts - the TS context obtained from TSCreate()
3276 
3277    Level: intermediate
3278 
3279    Notes:
3280    This must be called after a call to TSSolve() that solves the forward problem
3281 
3282    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3283 
3284 .keywords: TS, timestep, solve
3285 
3286 .seealso: TSCreate(), TSSetSolution(), TSStep()
3287 @*/
3288 PetscErrorCode TSAdjointSolve(TS ts)
3289 {
3290   PetscErrorCode    ierr;
3291 
3292   PetscFunctionBegin;
3293   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3294   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3295   /* reset time step and iteration counters */
3296   ts->steps             = 0;
3297   ts->ksp_its           = 0;
3298   ts->snes_its          = 0;
3299   ts->num_snes_failures = 0;
3300   ts->reject            = 0;
3301   ts->reason            = TS_CONVERGED_ITERATING;
3302 
3303   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3304 
3305   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3306   while (!ts->reason) {
3307     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->adjoint_max_steps-ts->steps,ts->ptime);CHKERRQ(ierr);
3308     ierr = TSMonitor(ts,ts->adjoint_max_steps-ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3309     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3310     if (ts->event) {
3311       ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3312       if (ts->event->status != TSEVENT_PROCESSING) {
3313         ierr = TSPostStep(ts);CHKERRQ(ierr);
3314       }
3315     } else {
3316       ierr = TSPostStep(ts);CHKERRQ(ierr);
3317     }
3318   }
3319   ts->solvetime = ts->ptime;
3320   PetscFunctionReturn(0);
3321 }
3322 
3323 #undef __FUNCT__
3324 #define __FUNCT__ "TSMonitor"
3325 /*@
3326    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3327 
3328    Collective on TS
3329 
3330    Input Parameters:
3331 +  ts - time stepping context obtained from TSCreate()
3332 .  step - step number that has just completed
3333 .  ptime - model time of the state
3334 -  u - state at the current model time
3335 
3336    Notes:
3337    TSMonitor() is typically used within the time stepping implementations.
3338    Users might call this function when using the TSStep() interface instead of TSSolve().
3339 
3340    Level: advanced
3341 
3342 .keywords: TS, timestep
3343 @*/
3344 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3345 {
3346   PetscErrorCode ierr;
3347   PetscInt       i,n = ts->numbermonitors;
3348 
3349   PetscFunctionBegin;
3350   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3351   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3352   ierr = VecLockPush(u);CHKERRQ(ierr);
3353   for (i=0; i<n; i++) {
3354     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3355   }
3356   ierr = VecLockPop(u);CHKERRQ(ierr);
3357   PetscFunctionReturn(0);
3358 }
3359 
3360 /* ------------------------------------------------------------------------*/
3361 #undef __FUNCT__
3362 #define __FUNCT__ "TSMonitorLGCtxCreate"
3363 /*@C
3364    TSMonitorLGCtxCreate - Creates a line graph context for use with
3365    TS to monitor the solution process graphically in various ways
3366 
3367    Collective on TS
3368 
3369    Input Parameters:
3370 +  host - the X display to open, or null for the local machine
3371 .  label - the title to put in the title bar
3372 .  x, y - the screen coordinates of the upper left coordinate of the window
3373 .  m, n - the screen width and height in pixels
3374 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3375 
3376    Output Parameter:
3377 .  ctx - the context
3378 
3379    Options Database Key:
3380 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3381 .  -ts_monitor_lg_solution -
3382 .  -ts_monitor_lg_error -
3383 .  -ts_monitor_lg_ksp_iterations -
3384 .  -ts_monitor_lg_snes_iterations -
3385 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
3386 
3387    Notes:
3388    Use TSMonitorLGCtxDestroy() to destroy.
3389 
3390    Level: intermediate
3391 
3392 .keywords: TS, monitor, line graph, residual, seealso
3393 
3394 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3395 
3396 @*/
3397 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3398 {
3399   PetscDraw      win;
3400   PetscErrorCode ierr;
3401 
3402   PetscFunctionBegin;
3403   ierr = PetscNew(ctx);CHKERRQ(ierr);
3404   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3405   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3406   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3407   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3408   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3409   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3410   (*ctx)->howoften = howoften;
3411   PetscFunctionReturn(0);
3412 }
3413 
3414 #undef __FUNCT__
3415 #define __FUNCT__ "TSMonitorLGTimeStep"
3416 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3417 {
3418   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3419   PetscReal      x   = ptime,y;
3420   PetscErrorCode ierr;
3421 
3422   PetscFunctionBegin;
3423   if (!step) {
3424     PetscDrawAxis axis;
3425     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3426     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3427     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3428     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
3429   }
3430   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3431   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3432   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3433     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3434   }
3435   PetscFunctionReturn(0);
3436 }
3437 
3438 #undef __FUNCT__
3439 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3440 /*@C
3441    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3442    with TSMonitorLGCtxCreate().
3443 
3444    Collective on TSMonitorLGCtx
3445 
3446    Input Parameter:
3447 .  ctx - the monitor context
3448 
3449    Level: intermediate
3450 
3451 .keywords: TS, monitor, line graph, destroy
3452 
3453 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3454 @*/
3455 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3456 {
3457   PetscDraw      draw;
3458   PetscErrorCode ierr;
3459 
3460   PetscFunctionBegin;
3461   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3462   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3463   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3464   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3465   PetscFunctionReturn(0);
3466 }
3467 
3468 #undef __FUNCT__
3469 #define __FUNCT__ "TSGetTime"
3470 /*@
3471    TSGetTime - Gets the time of the most recently completed step.
3472 
3473    Not Collective
3474 
3475    Input Parameter:
3476 .  ts - the TS context obtained from TSCreate()
3477 
3478    Output Parameter:
3479 .  t  - the current time
3480 
3481    Level: beginner
3482 
3483    Note:
3484    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3485    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3486 
3487 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3488 
3489 .keywords: TS, get, time
3490 @*/
3491 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3492 {
3493   PetscFunctionBegin;
3494   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3495   PetscValidRealPointer(t,2);
3496   *t = ts->ptime;
3497   PetscFunctionReturn(0);
3498 }
3499 
3500 #undef __FUNCT__
3501 #define __FUNCT__ "TSGetPrevTime"
3502 /*@
3503    TSGetPrevTime - Gets the starting time of the previously completed step.
3504 
3505    Not Collective
3506 
3507    Input Parameter:
3508 .  ts - the TS context obtained from TSCreate()
3509 
3510    Output Parameter:
3511 .  t  - the previous time
3512 
3513    Level: beginner
3514 
3515 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3516 
3517 .keywords: TS, get, time
3518 @*/
3519 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3520 {
3521   PetscFunctionBegin;
3522   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3523   PetscValidRealPointer(t,2);
3524   *t = ts->ptime_prev;
3525   PetscFunctionReturn(0);
3526 }
3527 
3528 #undef __FUNCT__
3529 #define __FUNCT__ "TSSetTime"
3530 /*@
3531    TSSetTime - Allows one to reset the time.
3532 
3533    Logically Collective on TS
3534 
3535    Input Parameters:
3536 +  ts - the TS context obtained from TSCreate()
3537 -  time - the time
3538 
3539    Level: intermediate
3540 
3541 .seealso: TSGetTime(), TSSetDuration()
3542 
3543 .keywords: TS, set, time
3544 @*/
3545 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3546 {
3547   PetscFunctionBegin;
3548   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3549   PetscValidLogicalCollectiveReal(ts,t,2);
3550   ts->ptime = t;
3551   PetscFunctionReturn(0);
3552 }
3553 
3554 #undef __FUNCT__
3555 #define __FUNCT__ "TSSetOptionsPrefix"
3556 /*@C
3557    TSSetOptionsPrefix - Sets the prefix used for searching for all
3558    TS options in the database.
3559 
3560    Logically Collective on TS
3561 
3562    Input Parameter:
3563 +  ts     - The TS context
3564 -  prefix - The prefix to prepend to all option names
3565 
3566    Notes:
3567    A hyphen (-) must NOT be given at the beginning of the prefix name.
3568    The first character of all runtime options is AUTOMATICALLY the
3569    hyphen.
3570 
3571    Level: advanced
3572 
3573 .keywords: TS, set, options, prefix, database
3574 
3575 .seealso: TSSetFromOptions()
3576 
3577 @*/
3578 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3579 {
3580   PetscErrorCode ierr;
3581   SNES           snes;
3582 
3583   PetscFunctionBegin;
3584   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3585   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3586   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3587   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3588   PetscFunctionReturn(0);
3589 }
3590 
3591 
3592 #undef __FUNCT__
3593 #define __FUNCT__ "TSAppendOptionsPrefix"
3594 /*@C
3595    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3596    TS options in the database.
3597 
3598    Logically Collective on TS
3599 
3600    Input Parameter:
3601 +  ts     - The TS context
3602 -  prefix - The prefix to prepend to all option names
3603 
3604    Notes:
3605    A hyphen (-) must NOT be given at the beginning of the prefix name.
3606    The first character of all runtime options is AUTOMATICALLY the
3607    hyphen.
3608 
3609    Level: advanced
3610 
3611 .keywords: TS, append, options, prefix, database
3612 
3613 .seealso: TSGetOptionsPrefix()
3614 
3615 @*/
3616 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3617 {
3618   PetscErrorCode ierr;
3619   SNES           snes;
3620 
3621   PetscFunctionBegin;
3622   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3623   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3624   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3625   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3626   PetscFunctionReturn(0);
3627 }
3628 
3629 #undef __FUNCT__
3630 #define __FUNCT__ "TSGetOptionsPrefix"
3631 /*@C
3632    TSGetOptionsPrefix - Sets the prefix used for searching for all
3633    TS options in the database.
3634 
3635    Not Collective
3636 
3637    Input Parameter:
3638 .  ts - The TS context
3639 
3640    Output Parameter:
3641 .  prefix - A pointer to the prefix string used
3642 
3643    Notes: On the fortran side, the user should pass in a string 'prifix' of
3644    sufficient length to hold the prefix.
3645 
3646    Level: intermediate
3647 
3648 .keywords: TS, get, options, prefix, database
3649 
3650 .seealso: TSAppendOptionsPrefix()
3651 @*/
3652 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3653 {
3654   PetscErrorCode ierr;
3655 
3656   PetscFunctionBegin;
3657   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3658   PetscValidPointer(prefix,2);
3659   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3660   PetscFunctionReturn(0);
3661 }
3662 
3663 #undef __FUNCT__
3664 #define __FUNCT__ "TSGetRHSJacobian"
3665 /*@C
3666    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3667 
3668    Not Collective, but parallel objects are returned if TS is parallel
3669 
3670    Input Parameter:
3671 .  ts  - The TS context obtained from TSCreate()
3672 
3673    Output Parameters:
3674 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3675 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3676 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3677 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3678 
3679    Notes: You can pass in NULL for any return argument you do not need.
3680 
3681    Level: intermediate
3682 
3683 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3684 
3685 .keywords: TS, timestep, get, matrix, Jacobian
3686 @*/
3687 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3688 {
3689   PetscErrorCode ierr;
3690   SNES           snes;
3691   DM             dm;
3692 
3693   PetscFunctionBegin;
3694   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3695   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3696   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3697   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3698   PetscFunctionReturn(0);
3699 }
3700 
3701 #undef __FUNCT__
3702 #define __FUNCT__ "TSGetIJacobian"
3703 /*@C
3704    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3705 
3706    Not Collective, but parallel objects are returned if TS is parallel
3707 
3708    Input Parameter:
3709 .  ts  - The TS context obtained from TSCreate()
3710 
3711    Output Parameters:
3712 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3713 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3714 .  f   - The function to compute the matrices
3715 - ctx - User-defined context for Jacobian evaluation routine
3716 
3717    Notes: You can pass in NULL for any return argument you do not need.
3718 
3719    Level: advanced
3720 
3721 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3722 
3723 .keywords: TS, timestep, get, matrix, Jacobian
3724 @*/
3725 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3726 {
3727   PetscErrorCode ierr;
3728   SNES           snes;
3729   DM             dm;
3730 
3731   PetscFunctionBegin;
3732   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3733   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3734   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3735   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3736   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3737   PetscFunctionReturn(0);
3738 }
3739 
3740 
3741 #undef __FUNCT__
3742 #define __FUNCT__ "TSMonitorDrawSolution"
3743 /*@C
3744    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3745    VecView() for the solution at each timestep
3746 
3747    Collective on TS
3748 
3749    Input Parameters:
3750 +  ts - the TS context
3751 .  step - current time-step
3752 .  ptime - current time
3753 -  dummy - either a viewer or NULL
3754 
3755    Options Database:
3756 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3757 
3758    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3759        will look bad
3760 
3761    Level: intermediate
3762 
3763 .keywords: TS,  vector, monitor, view
3764 
3765 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3766 @*/
3767 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3768 {
3769   PetscErrorCode   ierr;
3770   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3771   PetscDraw        draw;
3772 
3773   PetscFunctionBegin;
3774   if (!step && ictx->showinitial) {
3775     if (!ictx->initialsolution) {
3776       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3777     }
3778     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3779   }
3780   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3781 
3782   if (ictx->showinitial) {
3783     PetscReal pause;
3784     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3785     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3786     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3787     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3788     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3789   }
3790   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3791   if (ictx->showtimestepandtime) {
3792     PetscReal xl,yl,xr,yr,tw,w,h;
3793     char      time[32];
3794     size_t    len;
3795 
3796     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3797     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3798     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3799     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3800     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3801     w    = xl + .5*(xr - xl) - .5*len*tw;
3802     h    = yl + .95*(yr - yl);
3803     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3804     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3805   }
3806 
3807   if (ictx->showinitial) {
3808     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3809   }
3810   PetscFunctionReturn(0);
3811 }
3812 
3813 #undef __FUNCT__
3814 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3815 /*@C
3816    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3817 
3818    Collective on TS
3819 
3820    Input Parameters:
3821 +  ts - the TS context
3822 .  step - current time-step
3823 .  ptime - current time
3824 -  dummy - either a viewer or NULL
3825 
3826    Level: intermediate
3827 
3828 .keywords: TS,  vector, monitor, view
3829 
3830 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3831 @*/
3832 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3833 {
3834   PetscErrorCode    ierr;
3835   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3836   PetscDraw         draw;
3837   MPI_Comm          comm;
3838   PetscInt          n;
3839   PetscMPIInt       size;
3840   PetscReal         xl,yl,xr,yr,tw,w,h;
3841   char              time[32];
3842   size_t            len;
3843   const PetscScalar *U;
3844 
3845   PetscFunctionBegin;
3846   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3847   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3848   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3849   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3850   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3851 
3852   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3853 
3854   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3855   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3856   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3857       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3858       PetscFunctionReturn(0);
3859   }
3860   if (!step) ictx->color++;
3861   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3862   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3863 
3864   if (ictx->showtimestepandtime) {
3865     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3866     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3867     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3868     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3869     w    = xl + .5*(xr - xl) - .5*len*tw;
3870     h    = yl + .95*(yr - yl);
3871     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3872   }
3873   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3874   PetscFunctionReturn(0);
3875 }
3876 
3877 
3878 #undef __FUNCT__
3879 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3880 /*@C
3881    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3882 
3883    Collective on TS
3884 
3885    Input Parameters:
3886 .    ctx - the monitor context
3887 
3888    Level: intermediate
3889 
3890 .keywords: TS,  vector, monitor, view
3891 
3892 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3893 @*/
3894 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3895 {
3896   PetscErrorCode ierr;
3897 
3898   PetscFunctionBegin;
3899   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3900   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3901   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3902   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3903   PetscFunctionReturn(0);
3904 }
3905 
3906 #undef __FUNCT__
3907 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3908 /*@C
3909    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3910 
3911    Collective on TS
3912 
3913    Input Parameter:
3914 .    ts - time-step context
3915 
3916    Output Patameter:
3917 .    ctx - the monitor context
3918 
3919    Options Database:
3920 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3921 
3922    Level: intermediate
3923 
3924 .keywords: TS,  vector, monitor, view
3925 
3926 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3927 @*/
3928 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3929 {
3930   PetscErrorCode   ierr;
3931 
3932   PetscFunctionBegin;
3933   ierr = PetscNew(ctx);CHKERRQ(ierr);
3934   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3935   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3936 
3937   (*ctx)->howoften    = howoften;
3938   (*ctx)->showinitial = PETSC_FALSE;
3939   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3940 
3941   (*ctx)->showtimestepandtime = PETSC_FALSE;
3942   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3943   (*ctx)->color = PETSC_DRAW_WHITE;
3944   PetscFunctionReturn(0);
3945 }
3946 
3947 #undef __FUNCT__
3948 #define __FUNCT__ "TSMonitorDrawError"
3949 /*@C
3950    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3951    VecView() for the error at each timestep
3952 
3953    Collective on TS
3954 
3955    Input Parameters:
3956 +  ts - the TS context
3957 .  step - current time-step
3958 .  ptime - current time
3959 -  dummy - either a viewer or NULL
3960 
3961    Level: intermediate
3962 
3963 .keywords: TS,  vector, monitor, view
3964 
3965 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3966 @*/
3967 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3968 {
3969   PetscErrorCode   ierr;
3970   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3971   PetscViewer      viewer = ctx->viewer;
3972   Vec              work;
3973 
3974   PetscFunctionBegin;
3975   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3976   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3977   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3978   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3979   ierr = VecView(work,viewer);CHKERRQ(ierr);
3980   ierr = VecDestroy(&work);CHKERRQ(ierr);
3981   PetscFunctionReturn(0);
3982 }
3983 
3984 #include <petsc-private/dmimpl.h>
3985 #undef __FUNCT__
3986 #define __FUNCT__ "TSSetDM"
3987 /*@
3988    TSSetDM - Sets the DM that may be used by some preconditioners
3989 
3990    Logically Collective on TS and DM
3991 
3992    Input Parameters:
3993 +  ts - the preconditioner context
3994 -  dm - the dm
3995 
3996    Level: intermediate
3997 
3998 
3999 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4000 @*/
4001 PetscErrorCode  TSSetDM(TS ts,DM dm)
4002 {
4003   PetscErrorCode ierr;
4004   SNES           snes;
4005   DMTS           tsdm;
4006 
4007   PetscFunctionBegin;
4008   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4009   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4010   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4011     if (ts->dm->dmts && !dm->dmts) {
4012       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4013       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4014       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4015         tsdm->originaldm = dm;
4016       }
4017     }
4018     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4019   }
4020   ts->dm = dm;
4021 
4022   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4023   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4024   PetscFunctionReturn(0);
4025 }
4026 
4027 #undef __FUNCT__
4028 #define __FUNCT__ "TSGetDM"
4029 /*@
4030    TSGetDM - Gets the DM that may be used by some preconditioners
4031 
4032    Not Collective
4033 
4034    Input Parameter:
4035 . ts - the preconditioner context
4036 
4037    Output Parameter:
4038 .  dm - the dm
4039 
4040    Level: intermediate
4041 
4042 
4043 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4044 @*/
4045 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4046 {
4047   PetscErrorCode ierr;
4048 
4049   PetscFunctionBegin;
4050   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4051   if (!ts->dm) {
4052     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4053     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4054   }
4055   *dm = ts->dm;
4056   PetscFunctionReturn(0);
4057 }
4058 
4059 #undef __FUNCT__
4060 #define __FUNCT__ "SNESTSFormFunction"
4061 /*@
4062    SNESTSFormFunction - Function to evaluate nonlinear residual
4063 
4064    Logically Collective on SNES
4065 
4066    Input Parameter:
4067 + snes - nonlinear solver
4068 . U - the current state at which to evaluate the residual
4069 - ctx - user context, must be a TS
4070 
4071    Output Parameter:
4072 . F - the nonlinear residual
4073 
4074    Notes:
4075    This function is not normally called by users and is automatically registered with the SNES used by TS.
4076    It is most frequently passed to MatFDColoringSetFunction().
4077 
4078    Level: advanced
4079 
4080 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4081 @*/
4082 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4083 {
4084   TS             ts = (TS)ctx;
4085   PetscErrorCode ierr;
4086 
4087   PetscFunctionBegin;
4088   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4089   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4090   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4091   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4092   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4093   PetscFunctionReturn(0);
4094 }
4095 
4096 #undef __FUNCT__
4097 #define __FUNCT__ "SNESTSFormJacobian"
4098 /*@
4099    SNESTSFormJacobian - Function to evaluate the Jacobian
4100 
4101    Collective on SNES
4102 
4103    Input Parameter:
4104 + snes - nonlinear solver
4105 . U - the current state at which to evaluate the residual
4106 - ctx - user context, must be a TS
4107 
4108    Output Parameter:
4109 + A - the Jacobian
4110 . B - the preconditioning matrix (may be the same as A)
4111 - flag - indicates any structure change in the matrix
4112 
4113    Notes:
4114    This function is not normally called by users and is automatically registered with the SNES used by TS.
4115 
4116    Level: developer
4117 
4118 .seealso: SNESSetJacobian()
4119 @*/
4120 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4121 {
4122   TS             ts = (TS)ctx;
4123   PetscErrorCode ierr;
4124 
4125   PetscFunctionBegin;
4126   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4127   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4128   PetscValidPointer(A,3);
4129   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4130   PetscValidPointer(B,4);
4131   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4132   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4133   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4134   PetscFunctionReturn(0);
4135 }
4136 
4137 #undef __FUNCT__
4138 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4139 /*@C
4140    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4141 
4142    Collective on TS
4143 
4144    Input Arguments:
4145 +  ts - time stepping context
4146 .  t - time at which to evaluate
4147 .  U - state at which to evaluate
4148 -  ctx - context
4149 
4150    Output Arguments:
4151 .  F - right hand side
4152 
4153    Level: intermediate
4154 
4155    Notes:
4156    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4157    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4158 
4159 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4160 @*/
4161 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4162 {
4163   PetscErrorCode ierr;
4164   Mat            Arhs,Brhs;
4165 
4166   PetscFunctionBegin;
4167   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4168   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4169   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4170   PetscFunctionReturn(0);
4171 }
4172 
4173 #undef __FUNCT__
4174 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4175 /*@C
4176    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4177 
4178    Collective on TS
4179 
4180    Input Arguments:
4181 +  ts - time stepping context
4182 .  t - time at which to evaluate
4183 .  U - state at which to evaluate
4184 -  ctx - context
4185 
4186    Output Arguments:
4187 +  A - pointer to operator
4188 .  B - pointer to preconditioning matrix
4189 -  flg - matrix structure flag
4190 
4191    Level: intermediate
4192 
4193    Notes:
4194    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4195 
4196 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4197 @*/
4198 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4199 {
4200   PetscFunctionBegin;
4201   PetscFunctionReturn(0);
4202 }
4203 
4204 #undef __FUNCT__
4205 #define __FUNCT__ "TSComputeIFunctionLinear"
4206 /*@C
4207    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4208 
4209    Collective on TS
4210 
4211    Input Arguments:
4212 +  ts - time stepping context
4213 .  t - time at which to evaluate
4214 .  U - state at which to evaluate
4215 .  Udot - time derivative of state vector
4216 -  ctx - context
4217 
4218    Output Arguments:
4219 .  F - left hand side
4220 
4221    Level: intermediate
4222 
4223    Notes:
4224    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
4225    user is required to write their own TSComputeIFunction.
4226    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4227    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4228 
4229 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4230 @*/
4231 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4232 {
4233   PetscErrorCode ierr;
4234   Mat            A,B;
4235 
4236   PetscFunctionBegin;
4237   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4238   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4239   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4240   PetscFunctionReturn(0);
4241 }
4242 
4243 #undef __FUNCT__
4244 #define __FUNCT__ "TSComputeIJacobianConstant"
4245 /*@C
4246    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4247 
4248    Collective on TS
4249 
4250    Input Arguments:
4251 +  ts - time stepping context
4252 .  t - time at which to evaluate
4253 .  U - state at which to evaluate
4254 .  Udot - time derivative of state vector
4255 .  shift - shift to apply
4256 -  ctx - context
4257 
4258    Output Arguments:
4259 +  A - pointer to operator
4260 .  B - pointer to preconditioning matrix
4261 -  flg - matrix structure flag
4262 
4263    Level: advanced
4264 
4265    Notes:
4266    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4267 
4268    It is only appropriate for problems of the form
4269 
4270 $     M Udot = F(U,t)
4271 
4272   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4273   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4274   an implicit operator of the form
4275 
4276 $    shift*M + J
4277 
4278   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
4279   a copy of M or reassemble it when requested.
4280 
4281 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4282 @*/
4283 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4284 {
4285   PetscErrorCode ierr;
4286 
4287   PetscFunctionBegin;
4288   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4289   ts->ijacobian.shift = shift;
4290   PetscFunctionReturn(0);
4291 }
4292 
4293 #undef __FUNCT__
4294 #define __FUNCT__ "TSGetEquationType"
4295 /*@
4296    TSGetEquationType - Gets the type of the equation that TS is solving.
4297 
4298    Not Collective
4299 
4300    Input Parameter:
4301 .  ts - the TS context
4302 
4303    Output Parameter:
4304 .  equation_type - see TSEquationType
4305 
4306    Level: beginner
4307 
4308 .keywords: TS, equation type
4309 
4310 .seealso: TSSetEquationType(), TSEquationType
4311 @*/
4312 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4313 {
4314   PetscFunctionBegin;
4315   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4316   PetscValidPointer(equation_type,2);
4317   *equation_type = ts->equation_type;
4318   PetscFunctionReturn(0);
4319 }
4320 
4321 #undef __FUNCT__
4322 #define __FUNCT__ "TSSetEquationType"
4323 /*@
4324    TSSetEquationType - Sets the type of the equation that TS is solving.
4325 
4326    Not Collective
4327 
4328    Input Parameter:
4329 +  ts - the TS context
4330 .  equation_type - see TSEquationType
4331 
4332    Level: advanced
4333 
4334 .keywords: TS, equation type
4335 
4336 .seealso: TSGetEquationType(), TSEquationType
4337 @*/
4338 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4339 {
4340   PetscFunctionBegin;
4341   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4342   ts->equation_type = equation_type;
4343   PetscFunctionReturn(0);
4344 }
4345 
4346 #undef __FUNCT__
4347 #define __FUNCT__ "TSGetConvergedReason"
4348 /*@
4349    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4350 
4351    Not Collective
4352 
4353    Input Parameter:
4354 .  ts - the TS context
4355 
4356    Output Parameter:
4357 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4358             manual pages for the individual convergence tests for complete lists
4359 
4360    Level: beginner
4361 
4362    Notes:
4363    Can only be called after the call to TSSolve() is complete.
4364 
4365 .keywords: TS, nonlinear, set, convergence, test
4366 
4367 .seealso: TSSetConvergenceTest(), TSConvergedReason
4368 @*/
4369 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4370 {
4371   PetscFunctionBegin;
4372   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4373   PetscValidPointer(reason,2);
4374   *reason = ts->reason;
4375   PetscFunctionReturn(0);
4376 }
4377 
4378 #undef __FUNCT__
4379 #define __FUNCT__ "TSSetConvergedReason"
4380 /*@
4381    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4382 
4383    Not Collective
4384 
4385    Input Parameter:
4386 +  ts - the TS context
4387 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4388             manual pages for the individual convergence tests for complete lists
4389 
4390    Level: advanced
4391 
4392    Notes:
4393    Can only be called during TSSolve() is active.
4394 
4395 .keywords: TS, nonlinear, set, convergence, test
4396 
4397 .seealso: TSConvergedReason
4398 @*/
4399 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4400 {
4401   PetscFunctionBegin;
4402   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4403   ts->reason = reason;
4404   PetscFunctionReturn(0);
4405 }
4406 
4407 #undef __FUNCT__
4408 #define __FUNCT__ "TSGetSolveTime"
4409 /*@
4410    TSGetSolveTime - Gets the time after a call to TSSolve()
4411 
4412    Not Collective
4413 
4414    Input Parameter:
4415 .  ts - the TS context
4416 
4417    Output Parameter:
4418 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4419 
4420    Level: beginner
4421 
4422    Notes:
4423    Can only be called after the call to TSSolve() is complete.
4424 
4425 .keywords: TS, nonlinear, set, convergence, test
4426 
4427 .seealso: TSSetConvergenceTest(), TSConvergedReason
4428 @*/
4429 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4430 {
4431   PetscFunctionBegin;
4432   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4433   PetscValidPointer(ftime,2);
4434   *ftime = ts->solvetime;
4435   PetscFunctionReturn(0);
4436 }
4437 
4438 #undef __FUNCT__
4439 #define __FUNCT__ "TSGetTotalSteps"
4440 /*@
4441    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4442 
4443    Not Collective
4444 
4445    Input Parameter:
4446 .  ts - the TS context
4447 
4448    Output Parameter:
4449 .  steps - the number of steps
4450 
4451    Level: beginner
4452 
4453    Notes:
4454    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4455 
4456 .keywords: TS, nonlinear, set, convergence, test
4457 
4458 .seealso: TSSetConvergenceTest(), TSConvergedReason
4459 @*/
4460 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4461 {
4462   PetscFunctionBegin;
4463   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4464   PetscValidPointer(steps,2);
4465   *steps = ts->total_steps;
4466   PetscFunctionReturn(0);
4467 }
4468 
4469 #undef __FUNCT__
4470 #define __FUNCT__ "TSGetSNESIterations"
4471 /*@
4472    TSGetSNESIterations - Gets the total number of nonlinear iterations
4473    used by the time integrator.
4474 
4475    Not Collective
4476 
4477    Input Parameter:
4478 .  ts - TS context
4479 
4480    Output Parameter:
4481 .  nits - number of nonlinear iterations
4482 
4483    Notes:
4484    This counter is reset to zero for each successive call to TSSolve().
4485 
4486    Level: intermediate
4487 
4488 .keywords: TS, get, number, nonlinear, iterations
4489 
4490 .seealso:  TSGetKSPIterations()
4491 @*/
4492 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4493 {
4494   PetscFunctionBegin;
4495   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4496   PetscValidIntPointer(nits,2);
4497   *nits = ts->snes_its;
4498   PetscFunctionReturn(0);
4499 }
4500 
4501 #undef __FUNCT__
4502 #define __FUNCT__ "TSGetKSPIterations"
4503 /*@
4504    TSGetKSPIterations - Gets the total number of linear iterations
4505    used by the time integrator.
4506 
4507    Not Collective
4508 
4509    Input Parameter:
4510 .  ts - TS context
4511 
4512    Output Parameter:
4513 .  lits - number of linear iterations
4514 
4515    Notes:
4516    This counter is reset to zero for each successive call to TSSolve().
4517 
4518    Level: intermediate
4519 
4520 .keywords: TS, get, number, linear, iterations
4521 
4522 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4523 @*/
4524 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4525 {
4526   PetscFunctionBegin;
4527   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4528   PetscValidIntPointer(lits,2);
4529   *lits = ts->ksp_its;
4530   PetscFunctionReturn(0);
4531 }
4532 
4533 #undef __FUNCT__
4534 #define __FUNCT__ "TSGetStepRejections"
4535 /*@
4536    TSGetStepRejections - Gets the total number of rejected steps.
4537 
4538    Not Collective
4539 
4540    Input Parameter:
4541 .  ts - TS context
4542 
4543    Output Parameter:
4544 .  rejects - number of steps rejected
4545 
4546    Notes:
4547    This counter is reset to zero for each successive call to TSSolve().
4548 
4549    Level: intermediate
4550 
4551 .keywords: TS, get, number
4552 
4553 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4554 @*/
4555 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4556 {
4557   PetscFunctionBegin;
4558   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4559   PetscValidIntPointer(rejects,2);
4560   *rejects = ts->reject;
4561   PetscFunctionReturn(0);
4562 }
4563 
4564 #undef __FUNCT__
4565 #define __FUNCT__ "TSGetSNESFailures"
4566 /*@
4567    TSGetSNESFailures - Gets the total number of failed SNES solves
4568 
4569    Not Collective
4570 
4571    Input Parameter:
4572 .  ts - TS context
4573 
4574    Output Parameter:
4575 .  fails - number of failed nonlinear solves
4576 
4577    Notes:
4578    This counter is reset to zero for each successive call to TSSolve().
4579 
4580    Level: intermediate
4581 
4582 .keywords: TS, get, number
4583 
4584 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4585 @*/
4586 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4587 {
4588   PetscFunctionBegin;
4589   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4590   PetscValidIntPointer(fails,2);
4591   *fails = ts->num_snes_failures;
4592   PetscFunctionReturn(0);
4593 }
4594 
4595 #undef __FUNCT__
4596 #define __FUNCT__ "TSSetMaxStepRejections"
4597 /*@
4598    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4599 
4600    Not Collective
4601 
4602    Input Parameter:
4603 +  ts - TS context
4604 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4605 
4606    Notes:
4607    The counter is reset to zero for each step
4608 
4609    Options Database Key:
4610  .  -ts_max_reject - Maximum number of step rejections before a step fails
4611 
4612    Level: intermediate
4613 
4614 .keywords: TS, set, maximum, number
4615 
4616 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4617 @*/
4618 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4619 {
4620   PetscFunctionBegin;
4621   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4622   ts->max_reject = rejects;
4623   PetscFunctionReturn(0);
4624 }
4625 
4626 #undef __FUNCT__
4627 #define __FUNCT__ "TSSetMaxSNESFailures"
4628 /*@
4629    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4630 
4631    Not Collective
4632 
4633    Input Parameter:
4634 +  ts - TS context
4635 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4636 
4637    Notes:
4638    The counter is reset to zero for each successive call to TSSolve().
4639 
4640    Options Database Key:
4641  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4642 
4643    Level: intermediate
4644 
4645 .keywords: TS, set, maximum, number
4646 
4647 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4648 @*/
4649 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4650 {
4651   PetscFunctionBegin;
4652   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4653   ts->max_snes_failures = fails;
4654   PetscFunctionReturn(0);
4655 }
4656 
4657 #undef __FUNCT__
4658 #define __FUNCT__ "TSSetErrorIfStepFails"
4659 /*@
4660    TSSetErrorIfStepFails - Error if no step succeeds
4661 
4662    Not Collective
4663 
4664    Input Parameter:
4665 +  ts - TS context
4666 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4667 
4668    Options Database Key:
4669  .  -ts_error_if_step_fails - Error if no step succeeds
4670 
4671    Level: intermediate
4672 
4673 .keywords: TS, set, error
4674 
4675 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4676 @*/
4677 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4678 {
4679   PetscFunctionBegin;
4680   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4681   ts->errorifstepfailed = err;
4682   PetscFunctionReturn(0);
4683 }
4684 
4685 #undef __FUNCT__
4686 #define __FUNCT__ "TSMonitorSolutionBinary"
4687 /*@C
4688    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4689 
4690    Collective on TS
4691 
4692    Input Parameters:
4693 +  ts - the TS context
4694 .  step - current time-step
4695 .  ptime - current time
4696 .  u - current state
4697 -  viewer - binary viewer
4698 
4699    Level: intermediate
4700 
4701 .keywords: TS,  vector, monitor, view
4702 
4703 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4704 @*/
4705 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4706 {
4707   PetscErrorCode ierr;
4708   PetscViewer    v = (PetscViewer)viewer;
4709 
4710   PetscFunctionBegin;
4711   ierr = VecView(u,v);CHKERRQ(ierr);
4712   PetscFunctionReturn(0);
4713 }
4714 
4715 #undef __FUNCT__
4716 #define __FUNCT__ "TSMonitorSolutionVTK"
4717 /*@C
4718    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4719 
4720    Collective on TS
4721 
4722    Input Parameters:
4723 +  ts - the TS context
4724 .  step - current time-step
4725 .  ptime - current time
4726 .  u - current state
4727 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4728 
4729    Level: intermediate
4730 
4731    Notes:
4732    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.
4733    These are named according to the file name template.
4734 
4735    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4736 
4737 .keywords: TS,  vector, monitor, view
4738 
4739 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4740 @*/
4741 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4742 {
4743   PetscErrorCode ierr;
4744   char           filename[PETSC_MAX_PATH_LEN];
4745   PetscViewer    viewer;
4746 
4747   PetscFunctionBegin;
4748   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4749   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4750   ierr = VecView(u,viewer);CHKERRQ(ierr);
4751   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4752   PetscFunctionReturn(0);
4753 }
4754 
4755 #undef __FUNCT__
4756 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4757 /*@C
4758    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4759 
4760    Collective on TS
4761 
4762    Input Parameters:
4763 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4764 
4765    Level: intermediate
4766 
4767    Note:
4768    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4769 
4770 .keywords: TS,  vector, monitor, view
4771 
4772 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4773 @*/
4774 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4775 {
4776   PetscErrorCode ierr;
4777 
4778   PetscFunctionBegin;
4779   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4780   PetscFunctionReturn(0);
4781 }
4782 
4783 #undef __FUNCT__
4784 #define __FUNCT__ "TSGetAdapt"
4785 /*@
4786    TSGetAdapt - Get the adaptive controller context for the current method
4787 
4788    Collective on TS if controller has not been created yet
4789 
4790    Input Arguments:
4791 .  ts - time stepping context
4792 
4793    Output Arguments:
4794 .  adapt - adaptive controller
4795 
4796    Level: intermediate
4797 
4798 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4799 @*/
4800 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4801 {
4802   PetscErrorCode ierr;
4803 
4804   PetscFunctionBegin;
4805   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4806   PetscValidPointer(adapt,2);
4807   if (!ts->adapt) {
4808     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4809     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4810     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4811   }
4812   *adapt = ts->adapt;
4813   PetscFunctionReturn(0);
4814 }
4815 
4816 #undef __FUNCT__
4817 #define __FUNCT__ "TSSetTolerances"
4818 /*@
4819    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4820 
4821    Logically Collective
4822 
4823    Input Arguments:
4824 +  ts - time integration context
4825 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4826 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4827 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4828 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4829 
4830    Options Database keys:
4831 +  -ts_rtol <rtol> - relative tolerance for local truncation error
4832 -  -ts_atol <atol> Absolute tolerance for local truncation error
4833 
4834    Level: beginner
4835 
4836 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4837 @*/
4838 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4839 {
4840   PetscErrorCode ierr;
4841 
4842   PetscFunctionBegin;
4843   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4844   if (vatol) {
4845     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4846     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4847 
4848     ts->vatol = vatol;
4849   }
4850   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4851   if (vrtol) {
4852     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4853     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4854 
4855     ts->vrtol = vrtol;
4856   }
4857   PetscFunctionReturn(0);
4858 }
4859 
4860 #undef __FUNCT__
4861 #define __FUNCT__ "TSGetTolerances"
4862 /*@
4863    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4864 
4865    Logically Collective
4866 
4867    Input Arguments:
4868 .  ts - time integration context
4869 
4870    Output Arguments:
4871 +  atol - scalar absolute tolerances, NULL to ignore
4872 .  vatol - vector of absolute tolerances, NULL to ignore
4873 .  rtol - scalar relative tolerances, NULL to ignore
4874 -  vrtol - vector of relative tolerances, NULL to ignore
4875 
4876    Level: beginner
4877 
4878 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4879 @*/
4880 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4881 {
4882   PetscFunctionBegin;
4883   if (atol)  *atol  = ts->atol;
4884   if (vatol) *vatol = ts->vatol;
4885   if (rtol)  *rtol  = ts->rtol;
4886   if (vrtol) *vrtol = ts->vrtol;
4887   PetscFunctionReturn(0);
4888 }
4889 
4890 #undef __FUNCT__
4891 #define __FUNCT__ "TSErrorNormWRMS"
4892 /*@
4893    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4894 
4895    Collective on TS
4896 
4897    Input Arguments:
4898 +  ts - time stepping context
4899 -  Y - state vector to be compared to ts->vec_sol
4900 
4901    Output Arguments:
4902 .  norm - weighted norm, a value of 1.0 is considered small
4903 
4904    Level: developer
4905 
4906 .seealso: TSSetTolerances()
4907 @*/
4908 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4909 {
4910   PetscErrorCode    ierr;
4911   PetscInt          i,n,N;
4912   const PetscScalar *u,*y;
4913   Vec               U;
4914   PetscReal         sum,gsum;
4915 
4916   PetscFunctionBegin;
4917   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4918   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4919   PetscValidPointer(norm,3);
4920   U = ts->vec_sol;
4921   PetscCheckSameTypeAndComm(U,1,Y,2);
4922   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4923 
4924   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4925   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4926   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4927   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4928   sum  = 0.;
4929   if (ts->vatol && ts->vrtol) {
4930     const PetscScalar *atol,*rtol;
4931     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4932     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4933     for (i=0; i<n; i++) {
4934       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4935       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4936     }
4937     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4938     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4939   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4940     const PetscScalar *atol;
4941     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4942     for (i=0; i<n; i++) {
4943       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4944       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4945     }
4946     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4947   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4948     const PetscScalar *rtol;
4949     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4950     for (i=0; i<n; i++) {
4951       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4952       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4953     }
4954     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4955   } else {                      /* scalar atol, scalar rtol */
4956     for (i=0; i<n; i++) {
4957       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4958       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4959     }
4960   }
4961   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4962   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4963 
4964   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4965   *norm = PetscSqrtReal(gsum / N);
4966   if (PetscIsInfOrNanReal(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4967   PetscFunctionReturn(0);
4968 }
4969 
4970 #undef __FUNCT__
4971 #define __FUNCT__ "TSSetCFLTimeLocal"
4972 /*@
4973    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4974 
4975    Logically Collective on TS
4976 
4977    Input Arguments:
4978 +  ts - time stepping context
4979 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4980 
4981    Note:
4982    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4983 
4984    Level: intermediate
4985 
4986 .seealso: TSGetCFLTime(), TSADAPTCFL
4987 @*/
4988 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4989 {
4990   PetscFunctionBegin;
4991   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4992   ts->cfltime_local = cfltime;
4993   ts->cfltime       = -1.;
4994   PetscFunctionReturn(0);
4995 }
4996 
4997 #undef __FUNCT__
4998 #define __FUNCT__ "TSGetCFLTime"
4999 /*@
5000    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5001 
5002    Collective on TS
5003 
5004    Input Arguments:
5005 .  ts - time stepping context
5006 
5007    Output Arguments:
5008 .  cfltime - maximum stable time step for forward Euler
5009 
5010    Level: advanced
5011 
5012 .seealso: TSSetCFLTimeLocal()
5013 @*/
5014 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5015 {
5016   PetscErrorCode ierr;
5017 
5018   PetscFunctionBegin;
5019   if (ts->cfltime < 0) {
5020     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5021   }
5022   *cfltime = ts->cfltime;
5023   PetscFunctionReturn(0);
5024 }
5025 
5026 #undef __FUNCT__
5027 #define __FUNCT__ "TSVISetVariableBounds"
5028 /*@
5029    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5030 
5031    Input Parameters:
5032 .  ts   - the TS context.
5033 .  xl   - lower bound.
5034 .  xu   - upper bound.
5035 
5036    Notes:
5037    If this routine is not called then the lower and upper bounds are set to
5038    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5039 
5040    Level: advanced
5041 
5042 @*/
5043 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5044 {
5045   PetscErrorCode ierr;
5046   SNES           snes;
5047 
5048   PetscFunctionBegin;
5049   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5050   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5051   PetscFunctionReturn(0);
5052 }
5053 
5054 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5055 #include <mex.h>
5056 
5057 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5058 
5059 #undef __FUNCT__
5060 #define __FUNCT__ "TSComputeFunction_Matlab"
5061 /*
5062    TSComputeFunction_Matlab - Calls the function that has been set with
5063                          TSSetFunctionMatlab().
5064 
5065    Collective on TS
5066 
5067    Input Parameters:
5068 +  snes - the TS context
5069 -  u - input vector
5070 
5071    Output Parameter:
5072 .  y - function vector, as set by TSSetFunction()
5073 
5074    Notes:
5075    TSComputeFunction() is typically used within nonlinear solvers
5076    implementations, so most users would not generally call this routine
5077    themselves.
5078 
5079    Level: developer
5080 
5081 .keywords: TS, nonlinear, compute, function
5082 
5083 .seealso: TSSetFunction(), TSGetFunction()
5084 */
5085 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5086 {
5087   PetscErrorCode  ierr;
5088   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5089   int             nlhs  = 1,nrhs = 7;
5090   mxArray         *plhs[1],*prhs[7];
5091   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5092 
5093   PetscFunctionBegin;
5094   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5095   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5096   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5097   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5098   PetscCheckSameComm(snes,1,u,3);
5099   PetscCheckSameComm(snes,1,y,5);
5100 
5101   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5102   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5103   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5104   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5105 
5106   prhs[0] =  mxCreateDoubleScalar((double)ls);
5107   prhs[1] =  mxCreateDoubleScalar(time);
5108   prhs[2] =  mxCreateDoubleScalar((double)lx);
5109   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5110   prhs[4] =  mxCreateDoubleScalar((double)ly);
5111   prhs[5] =  mxCreateString(sctx->funcname);
5112   prhs[6] =  sctx->ctx;
5113   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5114   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5115   mxDestroyArray(prhs[0]);
5116   mxDestroyArray(prhs[1]);
5117   mxDestroyArray(prhs[2]);
5118   mxDestroyArray(prhs[3]);
5119   mxDestroyArray(prhs[4]);
5120   mxDestroyArray(prhs[5]);
5121   mxDestroyArray(plhs[0]);
5122   PetscFunctionReturn(0);
5123 }
5124 
5125 
5126 #undef __FUNCT__
5127 #define __FUNCT__ "TSSetFunctionMatlab"
5128 /*
5129    TSSetFunctionMatlab - Sets the function evaluation routine and function
5130    vector for use by the TS routines in solving ODEs
5131    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5132 
5133    Logically Collective on TS
5134 
5135    Input Parameters:
5136 +  ts - the TS context
5137 -  func - function evaluation routine
5138 
5139    Calling sequence of func:
5140 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5141 
5142    Level: beginner
5143 
5144 .keywords: TS, nonlinear, set, function
5145 
5146 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5147 */
5148 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5149 {
5150   PetscErrorCode  ierr;
5151   TSMatlabContext *sctx;
5152 
5153   PetscFunctionBegin;
5154   /* currently sctx is memory bleed */
5155   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5156   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5157   /*
5158      This should work, but it doesn't
5159   sctx->ctx = ctx;
5160   mexMakeArrayPersistent(sctx->ctx);
5161   */
5162   sctx->ctx = mxDuplicateArray(ctx);
5163 
5164   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5165   PetscFunctionReturn(0);
5166 }
5167 
5168 #undef __FUNCT__
5169 #define __FUNCT__ "TSComputeJacobian_Matlab"
5170 /*
5171    TSComputeJacobian_Matlab - Calls the function that has been set with
5172                          TSSetJacobianMatlab().
5173 
5174    Collective on TS
5175 
5176    Input Parameters:
5177 +  ts - the TS context
5178 .  u - input vector
5179 .  A, B - the matrices
5180 -  ctx - user context
5181 
5182    Level: developer
5183 
5184 .keywords: TS, nonlinear, compute, function
5185 
5186 .seealso: TSSetFunction(), TSGetFunction()
5187 @*/
5188 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5189 {
5190   PetscErrorCode  ierr;
5191   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5192   int             nlhs  = 2,nrhs = 9;
5193   mxArray         *plhs[2],*prhs[9];
5194   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5195 
5196   PetscFunctionBegin;
5197   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5198   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5199 
5200   /* call Matlab function in ctx with arguments u and y */
5201 
5202   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5203   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5204   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5205   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5206   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5207 
5208   prhs[0] =  mxCreateDoubleScalar((double)ls);
5209   prhs[1] =  mxCreateDoubleScalar((double)time);
5210   prhs[2] =  mxCreateDoubleScalar((double)lx);
5211   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5212   prhs[4] =  mxCreateDoubleScalar((double)shift);
5213   prhs[5] =  mxCreateDoubleScalar((double)lA);
5214   prhs[6] =  mxCreateDoubleScalar((double)lB);
5215   prhs[7] =  mxCreateString(sctx->funcname);
5216   prhs[8] =  sctx->ctx;
5217   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5218   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5219   mxDestroyArray(prhs[0]);
5220   mxDestroyArray(prhs[1]);
5221   mxDestroyArray(prhs[2]);
5222   mxDestroyArray(prhs[3]);
5223   mxDestroyArray(prhs[4]);
5224   mxDestroyArray(prhs[5]);
5225   mxDestroyArray(prhs[6]);
5226   mxDestroyArray(prhs[7]);
5227   mxDestroyArray(plhs[0]);
5228   mxDestroyArray(plhs[1]);
5229   PetscFunctionReturn(0);
5230 }
5231 
5232 
5233 #undef __FUNCT__
5234 #define __FUNCT__ "TSSetJacobianMatlab"
5235 /*
5236    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5237    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
5238 
5239    Logically Collective on TS
5240 
5241    Input Parameters:
5242 +  ts - the TS context
5243 .  A,B - Jacobian matrices
5244 .  func - function evaluation routine
5245 -  ctx - user context
5246 
5247    Calling sequence of func:
5248 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5249 
5250 
5251    Level: developer
5252 
5253 .keywords: TS, nonlinear, set, function
5254 
5255 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5256 */
5257 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5258 {
5259   PetscErrorCode  ierr;
5260   TSMatlabContext *sctx;
5261 
5262   PetscFunctionBegin;
5263   /* currently sctx is memory bleed */
5264   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5265   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5266   /*
5267      This should work, but it doesn't
5268   sctx->ctx = ctx;
5269   mexMakeArrayPersistent(sctx->ctx);
5270   */
5271   sctx->ctx = mxDuplicateArray(ctx);
5272 
5273   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5274   PetscFunctionReturn(0);
5275 }
5276 
5277 #undef __FUNCT__
5278 #define __FUNCT__ "TSMonitor_Matlab"
5279 /*
5280    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5281 
5282    Collective on TS
5283 
5284 .seealso: TSSetFunction(), TSGetFunction()
5285 @*/
5286 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5287 {
5288   PetscErrorCode  ierr;
5289   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5290   int             nlhs  = 1,nrhs = 6;
5291   mxArray         *plhs[1],*prhs[6];
5292   long long int   lx = 0,ls = 0;
5293 
5294   PetscFunctionBegin;
5295   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5296   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5297 
5298   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5299   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5300 
5301   prhs[0] =  mxCreateDoubleScalar((double)ls);
5302   prhs[1] =  mxCreateDoubleScalar((double)it);
5303   prhs[2] =  mxCreateDoubleScalar((double)time);
5304   prhs[3] =  mxCreateDoubleScalar((double)lx);
5305   prhs[4] =  mxCreateString(sctx->funcname);
5306   prhs[5] =  sctx->ctx;
5307   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5308   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5309   mxDestroyArray(prhs[0]);
5310   mxDestroyArray(prhs[1]);
5311   mxDestroyArray(prhs[2]);
5312   mxDestroyArray(prhs[3]);
5313   mxDestroyArray(prhs[4]);
5314   mxDestroyArray(plhs[0]);
5315   PetscFunctionReturn(0);
5316 }
5317 
5318 
5319 #undef __FUNCT__
5320 #define __FUNCT__ "TSMonitorSetMatlab"
5321 /*
5322    TSMonitorSetMatlab - Sets the monitor function from Matlab
5323 
5324    Level: developer
5325 
5326 .keywords: TS, nonlinear, set, function
5327 
5328 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5329 */
5330 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5331 {
5332   PetscErrorCode  ierr;
5333   TSMatlabContext *sctx;
5334 
5335   PetscFunctionBegin;
5336   /* currently sctx is memory bleed */
5337   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5338   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5339   /*
5340      This should work, but it doesn't
5341   sctx->ctx = ctx;
5342   mexMakeArrayPersistent(sctx->ctx);
5343   */
5344   sctx->ctx = mxDuplicateArray(ctx);
5345 
5346   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5347   PetscFunctionReturn(0);
5348 }
5349 #endif
5350 
5351 
5352 
5353 #undef __FUNCT__
5354 #define __FUNCT__ "TSMonitorLGSolution"
5355 /*@C
5356    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5357        in a time based line graph
5358 
5359    Collective on TS
5360 
5361    Input Parameters:
5362 +  ts - the TS context
5363 .  step - current time-step
5364 .  ptime - current time
5365 -  lg - a line graph object
5366 
5367    Level: intermediate
5368 
5369     Notes: each process in a parallel run displays its component solutions in a separate window
5370 
5371 .keywords: TS,  vector, monitor, view
5372 
5373 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5374 @*/
5375 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5376 {
5377   PetscErrorCode    ierr;
5378   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5379   const PetscScalar *yy;
5380   PetscInt          dim;
5381 
5382   PetscFunctionBegin;
5383   if (!step) {
5384     PetscDrawAxis axis;
5385     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5386     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5387     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5388     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5389     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5390   }
5391   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
5392 #if defined(PETSC_USE_COMPLEX)
5393   {
5394     PetscReal *yreal;
5395     PetscInt  i,n;
5396     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
5397     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5398     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5399     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5400     ierr = PetscFree(yreal);CHKERRQ(ierr);
5401   }
5402 #else
5403   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5404 #endif
5405   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
5406   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5407     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5408   }
5409   PetscFunctionReturn(0);
5410 }
5411 
5412 #undef __FUNCT__
5413 #define __FUNCT__ "TSMonitorLGError"
5414 /*@C
5415    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
5416        in a time based line graph
5417 
5418    Collective on TS
5419 
5420    Input Parameters:
5421 +  ts - the TS context
5422 .  step - current time-step
5423 .  ptime - current time
5424 -  lg - a line graph object
5425 
5426    Level: intermediate
5427 
5428    Notes:
5429    Only for sequential solves.
5430 
5431    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
5432 
5433    Options Database Keys:
5434 .  -ts_monitor_lg_error - create a graphical monitor of error history
5435 
5436 .keywords: TS,  vector, monitor, view
5437 
5438 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
5439 @*/
5440 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5441 {
5442   PetscErrorCode    ierr;
5443   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5444   const PetscScalar *yy;
5445   Vec               y;
5446   PetscInt          dim;
5447 
5448   PetscFunctionBegin;
5449   if (!step) {
5450     PetscDrawAxis axis;
5451     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5452     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
5453     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5454     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5455     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5456   }
5457   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
5458   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
5459   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
5460   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
5461 #if defined(PETSC_USE_COMPLEX)
5462   {
5463     PetscReal *yreal;
5464     PetscInt  i,n;
5465     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
5466     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5467     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5468     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5469     ierr = PetscFree(yreal);CHKERRQ(ierr);
5470   }
5471 #else
5472   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5473 #endif
5474   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
5475   ierr = VecDestroy(&y);CHKERRQ(ierr);
5476   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5477     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5478   }
5479   PetscFunctionReturn(0);
5480 }
5481 
5482 #undef __FUNCT__
5483 #define __FUNCT__ "TSMonitorLGSNESIterations"
5484 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5485 {
5486   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5487   PetscReal      x   = ptime,y;
5488   PetscErrorCode ierr;
5489   PetscInt       its;
5490 
5491   PetscFunctionBegin;
5492   if (!n) {
5493     PetscDrawAxis axis;
5494 
5495     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5496     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
5497     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5498 
5499     ctx->snes_its = 0;
5500   }
5501   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
5502   y    = its - ctx->snes_its;
5503   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5504   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5505     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5506   }
5507   ctx->snes_its = its;
5508   PetscFunctionReturn(0);
5509 }
5510 
5511 #undef __FUNCT__
5512 #define __FUNCT__ "TSMonitorLGKSPIterations"
5513 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5514 {
5515   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5516   PetscReal      x   = ptime,y;
5517   PetscErrorCode ierr;
5518   PetscInt       its;
5519 
5520   PetscFunctionBegin;
5521   if (!n) {
5522     PetscDrawAxis axis;
5523 
5524     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5525     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
5526     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5527 
5528     ctx->ksp_its = 0;
5529   }
5530   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
5531   y    = its - ctx->ksp_its;
5532   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5533   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5534     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5535   }
5536   ctx->ksp_its = its;
5537   PetscFunctionReturn(0);
5538 }
5539 
5540 #undef __FUNCT__
5541 #define __FUNCT__ "TSComputeLinearStability"
5542 /*@
5543    TSComputeLinearStability - computes the linear stability function at a point
5544 
5545    Collective on TS and Vec
5546 
5547    Input Parameters:
5548 +  ts - the TS context
5549 -  xr,xi - real and imaginary part of input arguments
5550 
5551    Output Parameters:
5552 .  yr,yi - real and imaginary part of function value
5553 
5554    Level: developer
5555 
5556 .keywords: TS, compute
5557 
5558 .seealso: TSSetRHSFunction(), TSComputeIFunction()
5559 @*/
5560 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
5561 {
5562   PetscErrorCode ierr;
5563 
5564   PetscFunctionBegin;
5565   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5566   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
5567   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
5568   PetscFunctionReturn(0);
5569 }
5570 
5571 #undef __FUNCT__
5572 #define __FUNCT__ "TSRollBack"
5573 /*@
5574    TSRollBack - Rolls back one time step
5575 
5576    Collective on TS
5577 
5578    Input Parameter:
5579 .  ts - the TS context obtained from TSCreate()
5580 
5581    Level: advanced
5582 
5583 .keywords: TS, timestep, rollback
5584 
5585 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
5586 @*/
5587 PetscErrorCode  TSRollBack(TS ts)
5588 {
5589   PetscErrorCode ierr;
5590 
5591   PetscFunctionBegin;
5592   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5593 
5594   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
5595   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
5596   ts->time_step = ts->ptime - ts->ptime_prev;
5597   ts->ptime = ts->ptime_prev;
5598   PetscFunctionReturn(0);
5599 }
5600 
5601 #undef __FUNCT__
5602 #define __FUNCT__ "TSGetStages"
5603 /*@
5604    TSGetStages - Get the number of stages and stage values
5605 
5606    Input Parameter:
5607 .  ts - the TS context obtained from TSCreate()
5608 
5609    Level: advanced
5610 
5611 .keywords: TS, getstages
5612 
5613 .seealso: TSCreate()
5614 @*/
5615 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
5616 {
5617   PetscErrorCode ierr;
5618 
5619   PetscFunctionBegin;
5620   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5621   PetscValidPointer(ns,2);
5622 
5623   if (!ts->ops->getstages) *ns=0;
5624   else {
5625     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
5626   }
5627   PetscFunctionReturn(0);
5628 }
5629 
5630