xref: /petsc/src/ts/interface/ts.c (revision 95f87d5e0478b7f7ae99e240b2c7c75e03c6b8de)
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_save_trajectories - checkpoint the solution at each time-step
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  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
55 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
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_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",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     ierr = TSTrajectorySetType(ts->trajectory,TSTRAJECTORYBASIC);CHKERRQ(ierr);
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__ "TSAdjointGetCostGradients"
1696 /*@
1697    TSAdjointGetCostGradients - 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 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
1706 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
1707 
1708    Level: intermediate
1709 
1710 .seealso: TSGetTimeStep()
1711 
1712 .keywords: TS, timestep, get, sensitivity
1713 @*/
1714 PetscErrorCode  TSAdjointGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
1715 {
1716   PetscFunctionBegin;
1717   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1718   if (numcost) *numcost = ts->numcost;
1719   if (lambda)  *lambda  = ts->vecs_sensi;
1720   if (mu)      *mu      = 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 TSAdjointSetCostGradients() first");
1915 
1916   ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
1917   if (ts->vecs_sensip){
1918     ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
1919   }
1920 
1921   if (ts->ops->adjointsetup) {
1922     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
1923   }
1924   ts->adjointsetupcalled = PETSC_TRUE;
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 #undef __FUNCT__
1929 #define __FUNCT__ "TSReset"
1930 /*@
1931    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1932 
1933    Collective on TS
1934 
1935    Input Parameter:
1936 .  ts - the TS context obtained from TSCreate()
1937 
1938    Level: beginner
1939 
1940 .keywords: TS, timestep, reset
1941 
1942 .seealso: TSCreate(), TSSetup(), TSDestroy()
1943 @*/
1944 PetscErrorCode  TSReset(TS ts)
1945 {
1946   PetscErrorCode ierr;
1947 
1948   PetscFunctionBegin;
1949   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1950 
1951   if (ts->ops->reset) {
1952     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1953   }
1954   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1955 
1956   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1957   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1958   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1959   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1960   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1961   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1962   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1963   ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
1964   if (ts->vecs_drdp){
1965     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
1966   }
1967   ts->vecs_sensi  = NULL;
1968   ts->vecs_sensip = NULL;
1969   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
1970   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
1971   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
1972   ts->setupcalled = PETSC_FALSE;
1973   PetscFunctionReturn(0);
1974 }
1975 
1976 #undef __FUNCT__
1977 #define __FUNCT__ "TSDestroy"
1978 /*@
1979    TSDestroy - Destroys the timestepper context that was created
1980    with TSCreate().
1981 
1982    Collective on TS
1983 
1984    Input Parameter:
1985 .  ts - the TS context obtained from TSCreate()
1986 
1987    Level: beginner
1988 
1989 .keywords: TS, timestepper, destroy
1990 
1991 .seealso: TSCreate(), TSSetUp(), TSSolve()
1992 @*/
1993 PetscErrorCode  TSDestroy(TS *ts)
1994 {
1995   PetscErrorCode ierr;
1996 
1997   PetscFunctionBegin;
1998   if (!*ts) PetscFunctionReturn(0);
1999   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2000   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2001 
2002   ierr = TSReset((*ts));CHKERRQ(ierr);
2003 
2004   /* if memory was published with SAWs then destroy it */
2005   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2006   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2007 
2008   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2009 
2010   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2011   if ((*ts)->event) {
2012     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2013   }
2014   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2015   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2016   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2017 
2018   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2019   PetscFunctionReturn(0);
2020 }
2021 
2022 #undef __FUNCT__
2023 #define __FUNCT__ "TSGetSNES"
2024 /*@
2025    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2026    a TS (timestepper) context. Valid only for nonlinear problems.
2027 
2028    Not Collective, but SNES is parallel if TS is parallel
2029 
2030    Input Parameter:
2031 .  ts - the TS context obtained from TSCreate()
2032 
2033    Output Parameter:
2034 .  snes - the nonlinear solver context
2035 
2036    Notes:
2037    The user can then directly manipulate the SNES context to set various
2038    options, etc.  Likewise, the user can then extract and manipulate the
2039    KSP, KSP, and PC contexts as well.
2040 
2041    TSGetSNES() does not work for integrators that do not use SNES; in
2042    this case TSGetSNES() returns NULL in snes.
2043 
2044    Level: beginner
2045 
2046 .keywords: timestep, get, SNES
2047 @*/
2048 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2049 {
2050   PetscErrorCode ierr;
2051 
2052   PetscFunctionBegin;
2053   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2054   PetscValidPointer(snes,2);
2055   if (!ts->snes) {
2056     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2057     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2058     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2059     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2060     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2061     if (ts->problem_type == TS_LINEAR) {
2062       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2063     }
2064   }
2065   *snes = ts->snes;
2066   PetscFunctionReturn(0);
2067 }
2068 
2069 #undef __FUNCT__
2070 #define __FUNCT__ "TSSetSNES"
2071 /*@
2072    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2073 
2074    Collective
2075 
2076    Input Parameter:
2077 +  ts - the TS context obtained from TSCreate()
2078 -  snes - the nonlinear solver context
2079 
2080    Notes:
2081    Most users should have the TS created by calling TSGetSNES()
2082 
2083    Level: developer
2084 
2085 .keywords: timestep, set, SNES
2086 @*/
2087 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2088 {
2089   PetscErrorCode ierr;
2090   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2091 
2092   PetscFunctionBegin;
2093   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2094   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2095   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2096   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2097 
2098   ts->snes = snes;
2099 
2100   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2101   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2102   if (func == SNESTSFormJacobian) {
2103     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2104   }
2105   PetscFunctionReturn(0);
2106 }
2107 
2108 #undef __FUNCT__
2109 #define __FUNCT__ "TSGetKSP"
2110 /*@
2111    TSGetKSP - Returns the KSP (linear solver) associated with
2112    a TS (timestepper) context.
2113 
2114    Not Collective, but KSP is parallel if TS is parallel
2115 
2116    Input Parameter:
2117 .  ts - the TS context obtained from TSCreate()
2118 
2119    Output Parameter:
2120 .  ksp - the nonlinear solver context
2121 
2122    Notes:
2123    The user can then directly manipulate the KSP context to set various
2124    options, etc.  Likewise, the user can then extract and manipulate the
2125    KSP and PC contexts as well.
2126 
2127    TSGetKSP() does not work for integrators that do not use KSP;
2128    in this case TSGetKSP() returns NULL in ksp.
2129 
2130    Level: beginner
2131 
2132 .keywords: timestep, get, KSP
2133 @*/
2134 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2135 {
2136   PetscErrorCode ierr;
2137   SNES           snes;
2138 
2139   PetscFunctionBegin;
2140   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2141   PetscValidPointer(ksp,2);
2142   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2143   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2144   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2145   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2146   PetscFunctionReturn(0);
2147 }
2148 
2149 /* ----------- Routines to set solver parameters ---------- */
2150 
2151 #undef __FUNCT__
2152 #define __FUNCT__ "TSGetDuration"
2153 /*@
2154    TSGetDuration - Gets the maximum number of timesteps to use and
2155    maximum time for iteration.
2156 
2157    Not Collective
2158 
2159    Input Parameters:
2160 +  ts       - the TS context obtained from TSCreate()
2161 .  maxsteps - maximum number of iterations to use, or NULL
2162 -  maxtime  - final time to iterate to, or NULL
2163 
2164    Level: intermediate
2165 
2166 .keywords: TS, timestep, get, maximum, iterations, time
2167 @*/
2168 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2169 {
2170   PetscFunctionBegin;
2171   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2172   if (maxsteps) {
2173     PetscValidIntPointer(maxsteps,2);
2174     *maxsteps = ts->max_steps;
2175   }
2176   if (maxtime) {
2177     PetscValidScalarPointer(maxtime,3);
2178     *maxtime = ts->max_time;
2179   }
2180   PetscFunctionReturn(0);
2181 }
2182 
2183 #undef __FUNCT__
2184 #define __FUNCT__ "TSSetDuration"
2185 /*@
2186    TSSetDuration - Sets the maximum number of timesteps to use and
2187    maximum time for iteration.
2188 
2189    Logically Collective on TS
2190 
2191    Input Parameters:
2192 +  ts - the TS context obtained from TSCreate()
2193 .  maxsteps - maximum number of iterations to use
2194 -  maxtime - final time to iterate to
2195 
2196    Options Database Keys:
2197 .  -ts_max_steps <maxsteps> - Sets maxsteps
2198 .  -ts_final_time <maxtime> - Sets maxtime
2199 
2200    Notes:
2201    The default maximum number of iterations is 5000. Default time is 5.0
2202 
2203    Level: intermediate
2204 
2205 .keywords: TS, timestep, set, maximum, iterations
2206 
2207 .seealso: TSSetExactFinalTime()
2208 @*/
2209 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2210 {
2211   PetscFunctionBegin;
2212   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2213   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2214   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2215   if (maxsteps >= 0) ts->max_steps = maxsteps;
2216   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2217   PetscFunctionReturn(0);
2218 }
2219 
2220 #undef __FUNCT__
2221 #define __FUNCT__ "TSSetSolution"
2222 /*@
2223    TSSetSolution - Sets the initial solution vector
2224    for use by the TS routines.
2225 
2226    Logically Collective on TS and Vec
2227 
2228    Input Parameters:
2229 +  ts - the TS context obtained from TSCreate()
2230 -  u - the solution vector
2231 
2232    Level: beginner
2233 
2234 .keywords: TS, timestep, set, solution, initial conditions
2235 @*/
2236 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2237 {
2238   PetscErrorCode ierr;
2239   DM             dm;
2240 
2241   PetscFunctionBegin;
2242   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2243   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2244   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2245   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2246 
2247   ts->vec_sol = u;
2248 
2249   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2250   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2251   PetscFunctionReturn(0);
2252 }
2253 
2254 #undef __FUNCT__
2255 #define __FUNCT__ "TSAdjointSetSteps"
2256 /*@
2257    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2258 
2259    Logically Collective on TS
2260 
2261    Input Parameters:
2262 +  ts - the TS context obtained from TSCreate()
2263 .  steps - number of steps to use
2264 
2265    Level: intermediate
2266 
2267    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2268           so as to integrate back to less than the original timestep
2269 
2270 .keywords: TS, timestep, set, maximum, iterations
2271 
2272 .seealso: TSSetExactFinalTime()
2273 @*/
2274 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2275 {
2276   PetscFunctionBegin;
2277   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2278   PetscValidLogicalCollectiveInt(ts,steps,2);
2279   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2280   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2281   ts->adjoint_max_steps = steps;
2282   PetscFunctionReturn(0);
2283 }
2284 
2285 #undef __FUNCT__
2286 #define __FUNCT__ "TSAdjointSetCostGradients"
2287 /*@
2288    TSAdjointSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2289       for use by the TSAdjoint routines.
2290 
2291    Logically Collective on TS and Vec
2292 
2293    Input Parameters:
2294 +  ts - the TS context obtained from TSCreate()
2295 .  lambda - gradients with respect to the initial condition variables, the dimension and parallel layout of these vectors is the same as the ODE solution vector
2296 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2297 
2298    Level: beginner
2299 
2300    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2301 
2302 .keywords: TS, timestep, set, sensitivity, initial conditions
2303 @*/
2304 PetscErrorCode  TSAdjointSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2305 {
2306   PetscFunctionBegin;
2307   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2308   PetscValidPointer(lambda,2);
2309   ts->vecs_sensi  = lambda;
2310   ts->vecs_sensip = mu;
2311   ts->numcost  = numcost;
2312   PetscFunctionReturn(0);
2313 }
2314 
2315 #undef __FUNCT__
2316 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2317 /*@C
2318   TSAdjointSetRHSJacobian - Sets the function that computes the Jacobian of G w.r.t. the parameters p where y_t = G(y,p,t), as well as the location to store the matrix.
2319 
2320   Logically Collective on TS
2321 
2322   Input Parameters:
2323 + ts   - The TS context obtained from TSCreate()
2324 - func - The function
2325 
2326   Calling sequence of func:
2327 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2328 +   t - current timestep
2329 .   y - input vector (current ODE solution)
2330 .   A - output matrix
2331 -   ctx - [optional] user-defined function context
2332 
2333   Level: intermediate
2334 
2335   Notes: Amat has the same number of rows and the same row parallel layout as u, Amat has the same number of columns and parallel layout as p
2336 
2337 .keywords: TS, sensitivity
2338 .seealso:
2339 @*/
2340 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2341 {
2342   PetscErrorCode ierr;
2343 
2344   PetscFunctionBegin;
2345   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2346   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2347 
2348   ts->rhsjacobianp    = func;
2349   ts->rhsjacobianpctx = ctx;
2350   if(Amat) {
2351     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2352     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2353     ts->Jacp = Amat;
2354   }
2355   PetscFunctionReturn(0);
2356 }
2357 
2358 #undef __FUNCT__
2359 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2360 /*@C
2361   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2362 
2363   Collective on TS
2364 
2365   Input Parameters:
2366 . ts   - The TS context obtained from TSCreate()
2367 
2368   Level: developer
2369 
2370 .keywords: TS, sensitivity
2371 .seealso: TSAdjointSetRHSJacobian()
2372 @*/
2373 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2374 {
2375   PetscErrorCode ierr;
2376 
2377   PetscFunctionBegin;
2378   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2379   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2380   PetscValidPointer(Amat,4);
2381 
2382   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2383   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2384   PetscStackPop;
2385   PetscFunctionReturn(0);
2386 }
2387 
2388 #undef __FUNCT__
2389 #define __FUNCT__ "TSAdjointSetCostIntegrand"
2390 /*@C
2391     TSAdjointSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2392 
2393     Logically Collective on TS
2394 
2395     Input Parameters:
2396 +   ts - the TS context obtained from TSCreate()
2397 .   numcost - number of gradients to be computed, this is the number of cost functions
2398 .   rf - routine for evaluating the integrand function
2399 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2400 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2401 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2402 
2403     Calling sequence of rf:
2404 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2405 
2406 +   t - current timestep
2407 .   y - input vector
2408 .   f - function result; one vector entry for each cost function
2409 -   ctx - [optional] user-defined function context
2410 
2411    Calling sequence of drdyf:
2412 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2413 
2414    Calling sequence of drdpf:
2415 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2416 
2417     Level: intermediate
2418 
2419     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2420 
2421 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2422 
2423 .seealso: TSAdjointSetRHSJacobian(),TSAdjointGetCostGradients(), TSAdjointSetCostGradients()
2424 @*/
2425 PetscErrorCode  TSAdjointSetCostIntegrand(TS ts,PetscInt numcost, PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2426                                                                   PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2427                                                                   PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2428 {
2429   PetscErrorCode ierr;
2430 
2431   PetscFunctionBegin;
2432   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2433   if (!ts->numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Call TSAdjointSetCostGradients() first so that the number of cost functions can be determined.");
2434   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSAdjointSetCostIntegrand()) is inconsistent with the one set by TSAdjointSetCostGradients()");
2435 
2436   ierr                  = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2437   ierr                  = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2438   ts->costintegrand     = rf;
2439   ts->costintegrandctx  = ctx;
2440   ts->drdyfunction    = drdyf;
2441   ts->drdpfunction    = drdpf;
2442   PetscFunctionReturn(0);
2443 }
2444 
2445 #undef __FUNCT__
2446 #define __FUNCT__ "TSAdjointGetCostIntegral"
2447 /*@
2448    TSAdjointGetCostIntegral - Returns the values of the integral term in the cost functions.
2449    It is valid to call the routine after a backward run.
2450 
2451    Not Collective
2452 
2453    Input Parameter:
2454 .  ts - the TS context obtained from TSCreate()
2455 
2456    Output Parameter:
2457 .  v - the vector containing the integrals for each cost function
2458 
2459    Level: intermediate
2460 
2461 .seealso: TSAdjointSetCostIntegrand()
2462 
2463 .keywords: TS, sensitivity analysis
2464 @*/
2465 PetscErrorCode  TSAdjointGetCostIntegral(TS ts,Vec *v)
2466 {
2467   PetscFunctionBegin;
2468   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2469   PetscValidPointer(v,2);
2470   *v = ts->vec_costintegral;
2471   PetscFunctionReturn(0);
2472 }
2473 
2474 #undef __FUNCT__
2475 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2476 /*@
2477    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2478 
2479    Input Parameters:
2480 +  ts - the TS context
2481 .  t - current time
2482 -  y - state vector, i.e. current solution
2483 
2484    Output Parameter:
2485 .  q - vector of size numcost to hold the outputs
2486 
2487    Note:
2488    Most users should not need to explicitly call this routine, as it
2489    is used internally within the sensitivity analysis context.
2490 
2491    Level: developer
2492 
2493 .keywords: TS, compute
2494 
2495 .seealso: TSAdjointSetCostIntegrand()
2496 @*/
2497 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
2498 {
2499   PetscErrorCode ierr;
2500 
2501   PetscFunctionBegin;
2502   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2503   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2504   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2505 
2506   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2507   if (ts->costintegrand) {
2508     PetscStackPush("TS user integrand in the cost function");
2509     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
2510     PetscStackPop;
2511   } else {
2512     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2513   }
2514 
2515   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2516   PetscFunctionReturn(0);
2517 }
2518 
2519 #undef __FUNCT__
2520 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2521 /*@
2522   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2523 
2524   Collective on TS
2525 
2526   Input Parameters:
2527 . ts   - The TS context obtained from TSCreate()
2528 
2529   Notes:
2530   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2531   so most users would not generally call this routine themselves.
2532 
2533   Level: developer
2534 
2535 .keywords: TS, sensitivity
2536 .seealso: TSAdjointComputeDRDYFunction()
2537 @*/
2538 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
2539 {
2540   PetscErrorCode ierr;
2541 
2542   PetscFunctionBegin;
2543   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2544   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2545 
2546   PetscStackPush("TS user DRDY function for sensitivity analysis");
2547   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2548   PetscStackPop;
2549   PetscFunctionReturn(0);
2550 }
2551 
2552 #undef __FUNCT__
2553 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2554 /*@
2555   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2556 
2557   Collective on TS
2558 
2559   Input Parameters:
2560 . ts   - The TS context obtained from TSCreate()
2561 
2562   Notes:
2563   TSDRDPFunction() is typically used for sensitivity implementation,
2564   so most users would not generally call this routine themselves.
2565 
2566   Level: developer
2567 
2568 .keywords: TS, sensitivity
2569 .seealso: TSAdjointSetDRDPFunction()
2570 @*/
2571 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
2572 {
2573   PetscErrorCode ierr;
2574 
2575   PetscFunctionBegin;
2576   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2577   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2578 
2579   PetscStackPush("TS user DRDP function for sensitivity analysis");
2580   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2581   PetscStackPop;
2582   PetscFunctionReturn(0);
2583 }
2584 
2585 #undef __FUNCT__
2586 #define __FUNCT__ "TSSetPreStep"
2587 /*@C
2588   TSSetPreStep - Sets the general-purpose function
2589   called once at the beginning of each time step.
2590 
2591   Logically Collective on TS
2592 
2593   Input Parameters:
2594 + ts   - The TS context obtained from TSCreate()
2595 - func - The function
2596 
2597   Calling sequence of func:
2598 . func (TS ts);
2599 
2600   Level: intermediate
2601 
2602   Note:
2603   If a step is rejected, TSStep() will call this routine again before each attempt.
2604   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2605   size of the step being attempted can be obtained using TSGetTimeStep().
2606 
2607 .keywords: TS, timestep
2608 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2609 @*/
2610 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2611 {
2612   PetscFunctionBegin;
2613   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2614   ts->prestep = func;
2615   PetscFunctionReturn(0);
2616 }
2617 
2618 #undef __FUNCT__
2619 #define __FUNCT__ "TSPreStep"
2620 /*@
2621   TSPreStep - Runs the user-defined pre-step function.
2622 
2623   Collective on TS
2624 
2625   Input Parameters:
2626 . ts   - The TS context obtained from TSCreate()
2627 
2628   Notes:
2629   TSPreStep() is typically used within time stepping implementations,
2630   so most users would not generally call this routine themselves.
2631 
2632   Level: developer
2633 
2634 .keywords: TS, timestep
2635 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2636 @*/
2637 PetscErrorCode  TSPreStep(TS ts)
2638 {
2639   PetscErrorCode ierr;
2640 
2641   PetscFunctionBegin;
2642   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2643   if (ts->prestep) {
2644     PetscStackCallStandard((*ts->prestep),(ts));
2645   }
2646   PetscFunctionReturn(0);
2647 }
2648 
2649 #undef __FUNCT__
2650 #define __FUNCT__ "TSSetPreStage"
2651 /*@C
2652   TSSetPreStage - Sets the general-purpose function
2653   called once at the beginning of each stage.
2654 
2655   Logically Collective on TS
2656 
2657   Input Parameters:
2658 + ts   - The TS context obtained from TSCreate()
2659 - func - The function
2660 
2661   Calling sequence of func:
2662 . PetscErrorCode func(TS ts, PetscReal stagetime);
2663 
2664   Level: intermediate
2665 
2666   Note:
2667   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2668   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2669   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2670 
2671 .keywords: TS, timestep
2672 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2673 @*/
2674 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2675 {
2676   PetscFunctionBegin;
2677   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2678   ts->prestage = func;
2679   PetscFunctionReturn(0);
2680 }
2681 
2682 #undef __FUNCT__
2683 #define __FUNCT__ "TSSetPostStage"
2684 /*@C
2685   TSSetPostStage - Sets the general-purpose function
2686   called once at the end of each stage.
2687 
2688   Logically Collective on TS
2689 
2690   Input Parameters:
2691 + ts   - The TS context obtained from TSCreate()
2692 - func - The function
2693 
2694   Calling sequence of func:
2695 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2696 
2697   Level: intermediate
2698 
2699   Note:
2700   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2701   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2702   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2703 
2704 .keywords: TS, timestep
2705 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2706 @*/
2707 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2708 {
2709   PetscFunctionBegin;
2710   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2711   ts->poststage = func;
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 #undef __FUNCT__
2716 #define __FUNCT__ "TSPreStage"
2717 /*@
2718   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2719 
2720   Collective on TS
2721 
2722   Input Parameters:
2723 . ts          - The TS context obtained from TSCreate()
2724   stagetime   - The absolute time of the current stage
2725 
2726   Notes:
2727   TSPreStage() is typically used within time stepping implementations,
2728   most users would not generally call this routine themselves.
2729 
2730   Level: developer
2731 
2732 .keywords: TS, timestep
2733 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2734 @*/
2735 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2736 {
2737   PetscErrorCode ierr;
2738 
2739   PetscFunctionBegin;
2740   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2741   if (ts->prestage) {
2742     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2743   }
2744   PetscFunctionReturn(0);
2745 }
2746 
2747 #undef __FUNCT__
2748 #define __FUNCT__ "TSPostStage"
2749 /*@
2750   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2751 
2752   Collective on TS
2753 
2754   Input Parameters:
2755 . ts          - The TS context obtained from TSCreate()
2756   stagetime   - The absolute time of the current stage
2757   stageindex  - Stage number
2758   Y           - Array of vectors (of size = total number
2759                 of stages) with the stage solutions
2760 
2761   Notes:
2762   TSPostStage() is typically used within time stepping implementations,
2763   most users would not generally call this routine themselves.
2764 
2765   Level: developer
2766 
2767 .keywords: TS, timestep
2768 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2769 @*/
2770 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2771 {
2772   PetscErrorCode ierr;
2773 
2774   PetscFunctionBegin;
2775   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2776   if (ts->poststage) {
2777     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2778   }
2779   PetscFunctionReturn(0);
2780 }
2781 
2782 #undef __FUNCT__
2783 #define __FUNCT__ "TSSetPostStep"
2784 /*@C
2785   TSSetPostStep - Sets the general-purpose function
2786   called once at the end of each time step.
2787 
2788   Logically Collective on TS
2789 
2790   Input Parameters:
2791 + ts   - The TS context obtained from TSCreate()
2792 - func - The function
2793 
2794   Calling sequence of func:
2795 $ func (TS ts);
2796 
2797   Level: intermediate
2798 
2799 .keywords: TS, timestep
2800 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2801 @*/
2802 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2803 {
2804   PetscFunctionBegin;
2805   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2806   ts->poststep = func;
2807   PetscFunctionReturn(0);
2808 }
2809 
2810 #undef __FUNCT__
2811 #define __FUNCT__ "TSPostStep"
2812 /*@
2813   TSPostStep - Runs the user-defined post-step function.
2814 
2815   Collective on TS
2816 
2817   Input Parameters:
2818 . ts   - The TS context obtained from TSCreate()
2819 
2820   Notes:
2821   TSPostStep() is typically used within time stepping implementations,
2822   so most users would not generally call this routine themselves.
2823 
2824   Level: developer
2825 
2826 .keywords: TS, timestep
2827 @*/
2828 PetscErrorCode  TSPostStep(TS ts)
2829 {
2830   PetscErrorCode ierr;
2831 
2832   PetscFunctionBegin;
2833   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2834   if (ts->poststep) {
2835     PetscStackCallStandard((*ts->poststep),(ts));
2836   }
2837   PetscFunctionReturn(0);
2838 }
2839 
2840 /* ------------ Routines to set performance monitoring options ----------- */
2841 
2842 #undef __FUNCT__
2843 #define __FUNCT__ "TSMonitorSet"
2844 /*@C
2845    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2846    timestep to display the iteration's  progress.
2847 
2848    Logically Collective on TS
2849 
2850    Input Parameters:
2851 +  ts - the TS context obtained from TSCreate()
2852 .  monitor - monitoring routine
2853 .  mctx - [optional] user-defined context for private data for the
2854              monitor routine (use NULL if no context is desired)
2855 -  monitordestroy - [optional] routine that frees monitor context
2856           (may be NULL)
2857 
2858    Calling sequence of monitor:
2859 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2860 
2861 +    ts - the TS context
2862 .    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
2863                                been interpolated to)
2864 .    time - current time
2865 .    u - current iterate
2866 -    mctx - [optional] monitoring context
2867 
2868    Notes:
2869    This routine adds an additional monitor to the list of monitors that
2870    already has been loaded.
2871 
2872    Fortran notes: Only a single monitor function can be set for each TS object
2873 
2874    Level: intermediate
2875 
2876 .keywords: TS, timestep, set, monitor
2877 
2878 .seealso: TSMonitorDefault(), TSMonitorCancel()
2879 @*/
2880 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2881 {
2882   PetscFunctionBegin;
2883   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2884   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2885   ts->monitor[ts->numbermonitors]          = monitor;
2886   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2887   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2888   PetscFunctionReturn(0);
2889 }
2890 
2891 #undef __FUNCT__
2892 #define __FUNCT__ "TSMonitorCancel"
2893 /*@C
2894    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2895 
2896    Logically Collective on TS
2897 
2898    Input Parameters:
2899 .  ts - the TS context obtained from TSCreate()
2900 
2901    Notes:
2902    There is no way to remove a single, specific monitor.
2903 
2904    Level: intermediate
2905 
2906 .keywords: TS, timestep, set, monitor
2907 
2908 .seealso: TSMonitorDefault(), TSMonitorSet()
2909 @*/
2910 PetscErrorCode  TSMonitorCancel(TS ts)
2911 {
2912   PetscErrorCode ierr;
2913   PetscInt       i;
2914 
2915   PetscFunctionBegin;
2916   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2917   for (i=0; i<ts->numbermonitors; i++) {
2918     if (ts->monitordestroy[i]) {
2919       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2920     }
2921   }
2922   ts->numbermonitors = 0;
2923   PetscFunctionReturn(0);
2924 }
2925 
2926 #undef __FUNCT__
2927 #define __FUNCT__ "TSMonitorDefault"
2928 /*@
2929    TSMonitorDefault - Sets the Default monitor
2930 
2931    Level: intermediate
2932 
2933 .keywords: TS, set, monitor
2934 
2935 .seealso: TSMonitorDefault(), TSMonitorSet()
2936 @*/
2937 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2938 {
2939   PetscErrorCode ierr;
2940   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2941 
2942   PetscFunctionBegin;
2943   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2944   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g %s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? "(r)\n" : "\n");CHKERRQ(ierr);
2945   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2946   PetscFunctionReturn(0);
2947 }
2948 
2949 #undef __FUNCT__
2950 #define __FUNCT__ "TSSetRetainStages"
2951 /*@
2952    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2953 
2954    Logically Collective on TS
2955 
2956    Input Argument:
2957 .  ts - time stepping context
2958 
2959    Output Argument:
2960 .  flg - PETSC_TRUE or PETSC_FALSE
2961 
2962    Level: intermediate
2963 
2964 .keywords: TS, set
2965 
2966 .seealso: TSInterpolate(), TSSetPostStep()
2967 @*/
2968 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2969 {
2970   PetscFunctionBegin;
2971   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2972   ts->retain_stages = flg;
2973   PetscFunctionReturn(0);
2974 }
2975 
2976 #undef __FUNCT__
2977 #define __FUNCT__ "TSInterpolate"
2978 /*@
2979    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2980 
2981    Collective on TS
2982 
2983    Input Argument:
2984 +  ts - time stepping context
2985 -  t - time to interpolate to
2986 
2987    Output Argument:
2988 .  U - state at given time
2989 
2990    Notes:
2991    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2992 
2993    Level: intermediate
2994 
2995    Developer Notes:
2996    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2997 
2998 .keywords: TS, set
2999 
3000 .seealso: TSSetRetainStages(), TSSetPostStep()
3001 @*/
3002 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3003 {
3004   PetscErrorCode ierr;
3005 
3006   PetscFunctionBegin;
3007   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3008   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3009   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);
3010   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3011   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3012   PetscFunctionReturn(0);
3013 }
3014 
3015 #undef __FUNCT__
3016 #define __FUNCT__ "TSStep"
3017 /*@
3018    TSStep - Steps one time step
3019 
3020    Collective on TS
3021 
3022    Input Parameter:
3023 .  ts - the TS context obtained from TSCreate()
3024 
3025    Level: developer
3026 
3027    Notes:
3028    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3029 
3030    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3031    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3032 
3033    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3034    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3035 
3036 .keywords: TS, timestep, solve
3037 
3038 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3039 @*/
3040 PetscErrorCode  TSStep(TS ts)
3041 {
3042   DM               dm;
3043   PetscErrorCode   ierr;
3044   static PetscBool cite = PETSC_FALSE;
3045 
3046   PetscFunctionBegin;
3047   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3048   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3049                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3050                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3051                                 "  type        = {Preprint},\n"
3052                                 "  number      = {ANL/MCS-P5061-0114},\n"
3053                                 "  institution = {Argonne National Laboratory},\n"
3054                                 "  year        = {2014}\n}\n",&cite);
3055 
3056   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3057   ierr = TSSetUp(ts);CHKERRQ(ierr);
3058 
3059   ts->reason = TS_CONVERGED_ITERATING;
3060   ts->ptime_prev = ts->ptime;
3061   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3062 
3063   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3064   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3065   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3066   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3067 
3068   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3069   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3070 
3071   if (ts->reason < 0) {
3072     if (ts->errorifstepfailed) {
3073       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]);
3074       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3075     }
3076   } else if (!ts->reason) {
3077     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3078     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3079   }
3080   ts->total_steps++;
3081   ts->steprollback = PETSC_FALSE;
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 #undef __FUNCT__
3086 #define __FUNCT__ "TSAdjointStep"
3087 /*@
3088    TSAdjointStep - Steps one time step
3089 
3090    Collective on TS
3091 
3092    Input Parameter:
3093 .  ts - the TS context obtained from TSCreate()
3094 
3095    Level: intermediate
3096 
3097    Notes:
3098    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3099    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3100 
3101    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3102    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3103 
3104 .keywords: TS, timestep, solve
3105 
3106 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3107 @*/
3108 PetscErrorCode  TSAdjointStep(TS ts)
3109 {
3110   DM               dm;
3111   PetscErrorCode   ierr;
3112 
3113   PetscFunctionBegin;
3114   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3115   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3116   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3117 
3118   ts->reason = TS_CONVERGED_ITERATING;
3119   ts->ptime_prev = ts->ptime;
3120   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3121   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3122 
3123   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3124   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);
3125   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3126   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3127 
3128   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3129   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3130 
3131   if (ts->reason < 0) {
3132     if (ts->errorifstepfailed) {
3133       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3134         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]);
3135       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3136         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]);
3137       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3138     }
3139   } else if (!ts->reason) {
3140     if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3141     else if (ts->ptime >= ts->max_time)         ts->reason = TS_CONVERGED_TIME;
3142   }
3143   ts->total_steps--;
3144   PetscFunctionReturn(0);
3145 }
3146 
3147 #undef __FUNCT__
3148 #define __FUNCT__ "TSEvaluateStep"
3149 /*@
3150    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3151 
3152    Collective on TS
3153 
3154    Input Arguments:
3155 +  ts - time stepping context
3156 .  order - desired order of accuracy
3157 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3158 
3159    Output Arguments:
3160 .  U - state at the end of the current step
3161 
3162    Level: advanced
3163 
3164    Notes:
3165    This function cannot be called until all stages have been evaluated.
3166    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.
3167 
3168 .seealso: TSStep(), TSAdapt
3169 @*/
3170 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3171 {
3172   PetscErrorCode ierr;
3173 
3174   PetscFunctionBegin;
3175   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3176   PetscValidType(ts,1);
3177   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3178   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3179   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3180   PetscFunctionReturn(0);
3181 }
3182 
3183 
3184 #undef __FUNCT__
3185 #define __FUNCT__ "TSSolve"
3186 /*@
3187    TSSolve - Steps the requested number of timesteps.
3188 
3189    Collective on TS
3190 
3191    Input Parameter:
3192 +  ts - the TS context obtained from TSCreate()
3193 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3194 
3195    Level: beginner
3196 
3197    Notes:
3198    The final time returned by this function may be different from the time of the internally
3199    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3200    stepped over the final time.
3201 
3202 .keywords: TS, timestep, solve
3203 
3204 .seealso: TSCreate(), TSSetSolution(), TSStep()
3205 @*/
3206 PetscErrorCode TSSolve(TS ts,Vec u)
3207 {
3208   Vec               solution;
3209   PetscErrorCode    ierr;
3210 
3211   PetscFunctionBegin;
3212   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3213   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3214   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 */
3215     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3216     if (!ts->vec_sol || u == ts->vec_sol) {
3217       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3218       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3219       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3220     }
3221     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3222   } else if (u) {
3223     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3224   }
3225   ierr = TSSetUp(ts);CHKERRQ(ierr); /*compute adj coefficients if the reverse mode is on*/
3226   /* reset time step and iteration counters */
3227   ts->steps             = 0;
3228   ts->ksp_its           = 0;
3229   ts->snes_its          = 0;
3230   ts->num_snes_failures = 0;
3231   ts->reject            = 0;
3232   ts->reason            = TS_CONVERGED_ITERATING;
3233 
3234   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3235 
3236   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3237     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3238     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3239     ts->solvetime = ts->ptime;
3240   } else {
3241     /* steps the requested number of timesteps. */
3242     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3243     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3244     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3245     if(ts->event) {
3246       ierr = TSEventMonitorInitialize(ts);CHKERRQ(ierr);
3247     }
3248     while (!ts->reason) {
3249       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3250       ierr = TSStep(ts);CHKERRQ(ierr);
3251       if (ts->event) {
3252 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3253       }
3254       if(!ts->steprollback) {
3255 	ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3256 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3257       }
3258     }
3259     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3260       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3261       ts->solvetime = ts->max_time;
3262       solution = u;
3263     } else {
3264       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3265       ts->solvetime = ts->ptime;
3266       solution = ts->vec_sol;
3267     }
3268     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3269     ierr = VecViewFromOptions(solution, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3270   }
3271 
3272   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3273   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3274   PetscFunctionReturn(0);
3275 }
3276 
3277 #undef __FUNCT__
3278 #define __FUNCT__ "TSAdjointSolve"
3279 /*@
3280    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3281 
3282    Collective on TS
3283 
3284    Input Parameter:
3285 .  ts - the TS context obtained from TSCreate()
3286 
3287    Level: intermediate
3288 
3289    Notes:
3290    This must be called after a call to TSSolve() that solves the forward problem
3291 
3292    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3293 
3294 .keywords: TS, timestep, solve
3295 
3296 .seealso: TSCreate(), TSSetSolution(), TSStep()
3297 @*/
3298 PetscErrorCode TSAdjointSolve(TS ts)
3299 {
3300   PetscErrorCode    ierr;
3301 
3302   PetscFunctionBegin;
3303   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3304   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3305   /* reset time step and iteration counters */
3306   ts->steps             = 0;
3307   ts->ksp_its           = 0;
3308   ts->snes_its          = 0;
3309   ts->num_snes_failures = 0;
3310   ts->reject            = 0;
3311   ts->reason            = TS_CONVERGED_ITERATING;
3312 
3313   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3314 
3315   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3316   while (!ts->reason) {
3317     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->adjoint_max_steps-ts->steps,ts->ptime);CHKERRQ(ierr);
3318     ierr = TSMonitor(ts,ts->adjoint_max_steps-ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3319     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3320     if (ts->event) {
3321       ierr = TSAdjointEventMonitor(ts);CHKERRQ(ierr);
3322     }
3323 
3324 #if 0 /* I don't think PostStep is needed in AdjointSolve */
3325       if (ts->event->status != TSEVENT_PROCESSING) {
3326         ierr = TSPostStep(ts);CHKERRQ(ierr);
3327       }
3328     } else {
3329       ierr = TSPostStep(ts);CHKERRQ(ierr);
3330     }
3331 #endif
3332   }
3333   ts->solvetime = ts->ptime;
3334   PetscFunctionReturn(0);
3335 }
3336 
3337 #undef __FUNCT__
3338 #define __FUNCT__ "TSMonitor"
3339 /*@
3340    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3341 
3342    Collective on TS
3343 
3344    Input Parameters:
3345 +  ts - time stepping context obtained from TSCreate()
3346 .  step - step number that has just completed
3347 .  ptime - model time of the state
3348 -  u - state at the current model time
3349 
3350    Notes:
3351    TSMonitor() is typically used within the time stepping implementations.
3352    Users might call this function when using the TSStep() interface instead of TSSolve().
3353 
3354    Level: advanced
3355 
3356 .keywords: TS, timestep
3357 @*/
3358 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3359 {
3360   PetscErrorCode ierr;
3361   PetscInt       i,n = ts->numbermonitors;
3362 
3363   PetscFunctionBegin;
3364   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3365   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3366   ierr = VecLockPush(u);CHKERRQ(ierr);
3367   for (i=0; i<n; i++) {
3368     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3369   }
3370   ierr = VecLockPop(u);CHKERRQ(ierr);
3371   PetscFunctionReturn(0);
3372 }
3373 
3374 /* ------------------------------------------------------------------------*/
3375 #undef __FUNCT__
3376 #define __FUNCT__ "TSMonitorLGCtxCreate"
3377 /*@C
3378    TSMonitorLGCtxCreate - Creates a line graph context for use with
3379    TS to monitor the solution process graphically in various ways
3380 
3381    Collective on TS
3382 
3383    Input Parameters:
3384 +  host - the X display to open, or null for the local machine
3385 .  label - the title to put in the title bar
3386 .  x, y - the screen coordinates of the upper left coordinate of the window
3387 .  m, n - the screen width and height in pixels
3388 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3389 
3390    Output Parameter:
3391 .  ctx - the context
3392 
3393    Options Database Key:
3394 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3395 .  -ts_monitor_lg_solution -
3396 .  -ts_monitor_lg_error -
3397 .  -ts_monitor_lg_ksp_iterations -
3398 .  -ts_monitor_lg_snes_iterations -
3399 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
3400 
3401    Notes:
3402    Use TSMonitorLGCtxDestroy() to destroy.
3403 
3404    Level: intermediate
3405 
3406 .keywords: TS, monitor, line graph, residual, seealso
3407 
3408 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3409 
3410 @*/
3411 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3412 {
3413   PetscDraw      win;
3414   PetscErrorCode ierr;
3415 
3416   PetscFunctionBegin;
3417   ierr = PetscNew(ctx);CHKERRQ(ierr);
3418   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3419   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3420   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3421   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3422   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3423   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3424   (*ctx)->howoften = howoften;
3425   PetscFunctionReturn(0);
3426 }
3427 
3428 #undef __FUNCT__
3429 #define __FUNCT__ "TSMonitorLGTimeStep"
3430 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3431 {
3432   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3433   PetscReal      x   = ptime,y;
3434   PetscErrorCode ierr;
3435 
3436   PetscFunctionBegin;
3437   if (!step) {
3438     PetscDrawAxis axis;
3439     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3440     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3441     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3442     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
3443   }
3444   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3445   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3446   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3447     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3448   }
3449   PetscFunctionReturn(0);
3450 }
3451 
3452 #undef __FUNCT__
3453 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3454 /*@C
3455    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3456    with TSMonitorLGCtxCreate().
3457 
3458    Collective on TSMonitorLGCtx
3459 
3460    Input Parameter:
3461 .  ctx - the monitor context
3462 
3463    Level: intermediate
3464 
3465 .keywords: TS, monitor, line graph, destroy
3466 
3467 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3468 @*/
3469 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3470 {
3471   PetscDraw      draw;
3472   PetscErrorCode ierr;
3473 
3474   PetscFunctionBegin;
3475   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3476   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3477   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3478   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3479   PetscFunctionReturn(0);
3480 }
3481 
3482 #undef __FUNCT__
3483 #define __FUNCT__ "TSGetTime"
3484 /*@
3485    TSGetTime - Gets the time of the most recently completed step.
3486 
3487    Not Collective
3488 
3489    Input Parameter:
3490 .  ts - the TS context obtained from TSCreate()
3491 
3492    Output Parameter:
3493 .  t  - the current time
3494 
3495    Level: beginner
3496 
3497    Note:
3498    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3499    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3500 
3501 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3502 
3503 .keywords: TS, get, time
3504 @*/
3505 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3506 {
3507   PetscFunctionBegin;
3508   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3509   PetscValidRealPointer(t,2);
3510   *t = ts->ptime;
3511   PetscFunctionReturn(0);
3512 }
3513 
3514 #undef __FUNCT__
3515 #define __FUNCT__ "TSGetPrevTime"
3516 /*@
3517    TSGetPrevTime - Gets the starting time of the previously completed step.
3518 
3519    Not Collective
3520 
3521    Input Parameter:
3522 .  ts - the TS context obtained from TSCreate()
3523 
3524    Output Parameter:
3525 .  t  - the previous time
3526 
3527    Level: beginner
3528 
3529 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3530 
3531 .keywords: TS, get, time
3532 @*/
3533 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3534 {
3535   PetscFunctionBegin;
3536   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3537   PetscValidRealPointer(t,2);
3538   *t = ts->ptime_prev;
3539   PetscFunctionReturn(0);
3540 }
3541 
3542 #undef __FUNCT__
3543 #define __FUNCT__ "TSSetTime"
3544 /*@
3545    TSSetTime - Allows one to reset the time.
3546 
3547    Logically Collective on TS
3548 
3549    Input Parameters:
3550 +  ts - the TS context obtained from TSCreate()
3551 -  time - the time
3552 
3553    Level: intermediate
3554 
3555 .seealso: TSGetTime(), TSSetDuration()
3556 
3557 .keywords: TS, set, time
3558 @*/
3559 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3560 {
3561   PetscFunctionBegin;
3562   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3563   PetscValidLogicalCollectiveReal(ts,t,2);
3564   ts->ptime = t;
3565   PetscFunctionReturn(0);
3566 }
3567 
3568 #undef __FUNCT__
3569 #define __FUNCT__ "TSSetOptionsPrefix"
3570 /*@C
3571    TSSetOptionsPrefix - Sets the prefix used for searching for all
3572    TS options in the database.
3573 
3574    Logically Collective on TS
3575 
3576    Input Parameter:
3577 +  ts     - The TS context
3578 -  prefix - The prefix to prepend to all option names
3579 
3580    Notes:
3581    A hyphen (-) must NOT be given at the beginning of the prefix name.
3582    The first character of all runtime options is AUTOMATICALLY the
3583    hyphen.
3584 
3585    Level: advanced
3586 
3587 .keywords: TS, set, options, prefix, database
3588 
3589 .seealso: TSSetFromOptions()
3590 
3591 @*/
3592 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3593 {
3594   PetscErrorCode ierr;
3595   SNES           snes;
3596 
3597   PetscFunctionBegin;
3598   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3599   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3600   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3601   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3602   PetscFunctionReturn(0);
3603 }
3604 
3605 
3606 #undef __FUNCT__
3607 #define __FUNCT__ "TSAppendOptionsPrefix"
3608 /*@C
3609    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3610    TS options in the database.
3611 
3612    Logically Collective on TS
3613 
3614    Input Parameter:
3615 +  ts     - The TS context
3616 -  prefix - The prefix to prepend to all option names
3617 
3618    Notes:
3619    A hyphen (-) must NOT be given at the beginning of the prefix name.
3620    The first character of all runtime options is AUTOMATICALLY the
3621    hyphen.
3622 
3623    Level: advanced
3624 
3625 .keywords: TS, append, options, prefix, database
3626 
3627 .seealso: TSGetOptionsPrefix()
3628 
3629 @*/
3630 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3631 {
3632   PetscErrorCode ierr;
3633   SNES           snes;
3634 
3635   PetscFunctionBegin;
3636   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3637   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3638   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3639   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3640   PetscFunctionReturn(0);
3641 }
3642 
3643 #undef __FUNCT__
3644 #define __FUNCT__ "TSGetOptionsPrefix"
3645 /*@C
3646    TSGetOptionsPrefix - Sets the prefix used for searching for all
3647    TS options in the database.
3648 
3649    Not Collective
3650 
3651    Input Parameter:
3652 .  ts - The TS context
3653 
3654    Output Parameter:
3655 .  prefix - A pointer to the prefix string used
3656 
3657    Notes: On the fortran side, the user should pass in a string 'prifix' of
3658    sufficient length to hold the prefix.
3659 
3660    Level: intermediate
3661 
3662 .keywords: TS, get, options, prefix, database
3663 
3664 .seealso: TSAppendOptionsPrefix()
3665 @*/
3666 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3667 {
3668   PetscErrorCode ierr;
3669 
3670   PetscFunctionBegin;
3671   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3672   PetscValidPointer(prefix,2);
3673   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3674   PetscFunctionReturn(0);
3675 }
3676 
3677 #undef __FUNCT__
3678 #define __FUNCT__ "TSGetRHSJacobian"
3679 /*@C
3680    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3681 
3682    Not Collective, but parallel objects are returned if TS is parallel
3683 
3684    Input Parameter:
3685 .  ts  - The TS context obtained from TSCreate()
3686 
3687    Output Parameters:
3688 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3689 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3690 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3691 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3692 
3693    Notes: You can pass in NULL for any return argument you do not need.
3694 
3695    Level: intermediate
3696 
3697 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3698 
3699 .keywords: TS, timestep, get, matrix, Jacobian
3700 @*/
3701 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3702 {
3703   PetscErrorCode ierr;
3704   SNES           snes;
3705   DM             dm;
3706 
3707   PetscFunctionBegin;
3708   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3709   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3711   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3712   PetscFunctionReturn(0);
3713 }
3714 
3715 #undef __FUNCT__
3716 #define __FUNCT__ "TSGetIJacobian"
3717 /*@C
3718    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3719 
3720    Not Collective, but parallel objects are returned if TS is parallel
3721 
3722    Input Parameter:
3723 .  ts  - The TS context obtained from TSCreate()
3724 
3725    Output Parameters:
3726 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3727 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3728 .  f   - The function to compute the matrices
3729 - ctx - User-defined context for Jacobian evaluation routine
3730 
3731    Notes: You can pass in NULL for any return argument you do not need.
3732 
3733    Level: advanced
3734 
3735 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3736 
3737 .keywords: TS, timestep, get, matrix, Jacobian
3738 @*/
3739 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3740 {
3741   PetscErrorCode ierr;
3742   SNES           snes;
3743   DM             dm;
3744 
3745   PetscFunctionBegin;
3746   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3747   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3748   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3749   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3750   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3751   PetscFunctionReturn(0);
3752 }
3753 
3754 
3755 #undef __FUNCT__
3756 #define __FUNCT__ "TSMonitorDrawSolution"
3757 /*@C
3758    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3759    VecView() for the solution at each timestep
3760 
3761    Collective on TS
3762 
3763    Input Parameters:
3764 +  ts - the TS context
3765 .  step - current time-step
3766 .  ptime - current time
3767 -  dummy - either a viewer or NULL
3768 
3769    Options Database:
3770 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3771 
3772    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3773        will look bad
3774 
3775    Level: intermediate
3776 
3777 .keywords: TS,  vector, monitor, view
3778 
3779 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3780 @*/
3781 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3782 {
3783   PetscErrorCode   ierr;
3784   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3785   PetscDraw        draw;
3786 
3787   PetscFunctionBegin;
3788   if (!step && ictx->showinitial) {
3789     if (!ictx->initialsolution) {
3790       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3791     }
3792     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3793   }
3794   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3795 
3796   if (ictx->showinitial) {
3797     PetscReal pause;
3798     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3799     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3800     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3801     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3802     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3803   }
3804   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3805   if (ictx->showtimestepandtime) {
3806     PetscReal xl,yl,xr,yr,tw,w,h;
3807     char      time[32];
3808     size_t    len;
3809 
3810     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3811     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3812     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3813     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3814     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3815     w    = xl + .5*(xr - xl) - .5*len*tw;
3816     h    = yl + .95*(yr - yl);
3817     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3818     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3819   }
3820 
3821   if (ictx->showinitial) {
3822     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3823   }
3824   PetscFunctionReturn(0);
3825 }
3826 
3827 #undef __FUNCT__
3828 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3829 /*@C
3830    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3831 
3832    Collective on TS
3833 
3834    Input Parameters:
3835 +  ts - the TS context
3836 .  step - current time-step
3837 .  ptime - current time
3838 -  dummy - either a viewer or NULL
3839 
3840    Level: intermediate
3841 
3842 .keywords: TS,  vector, monitor, view
3843 
3844 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3845 @*/
3846 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3847 {
3848   PetscErrorCode    ierr;
3849   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3850   PetscDraw         draw;
3851   MPI_Comm          comm;
3852   PetscInt          n;
3853   PetscMPIInt       size;
3854   PetscReal         xl,yl,xr,yr,tw,w,h;
3855   char              time[32];
3856   size_t            len;
3857   const PetscScalar *U;
3858 
3859   PetscFunctionBegin;
3860   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3861   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3862   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3863   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3864   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3865 
3866   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3867 
3868   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3869   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3870   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3871       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3872       PetscFunctionReturn(0);
3873   }
3874   if (!step) ictx->color++;
3875   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3876   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3877 
3878   if (ictx->showtimestepandtime) {
3879     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3880     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3881     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3882     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3883     w    = xl + .5*(xr - xl) - .5*len*tw;
3884     h    = yl + .95*(yr - yl);
3885     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3886   }
3887   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3888   PetscFunctionReturn(0);
3889 }
3890 
3891 
3892 #undef __FUNCT__
3893 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3894 /*@C
3895    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3896 
3897    Collective on TS
3898 
3899    Input Parameters:
3900 .    ctx - the monitor context
3901 
3902    Level: intermediate
3903 
3904 .keywords: TS,  vector, monitor, view
3905 
3906 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3907 @*/
3908 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3909 {
3910   PetscErrorCode ierr;
3911 
3912   PetscFunctionBegin;
3913   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3914   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3915   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3916   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3917   PetscFunctionReturn(0);
3918 }
3919 
3920 #undef __FUNCT__
3921 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3922 /*@C
3923    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3924 
3925    Collective on TS
3926 
3927    Input Parameter:
3928 .    ts - time-step context
3929 
3930    Output Patameter:
3931 .    ctx - the monitor context
3932 
3933    Options Database:
3934 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3935 
3936    Level: intermediate
3937 
3938 .keywords: TS,  vector, monitor, view
3939 
3940 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3941 @*/
3942 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3943 {
3944   PetscErrorCode   ierr;
3945 
3946   PetscFunctionBegin;
3947   ierr = PetscNew(ctx);CHKERRQ(ierr);
3948   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3949   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3950 
3951   (*ctx)->howoften    = howoften;
3952   (*ctx)->showinitial = PETSC_FALSE;
3953   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3954 
3955   (*ctx)->showtimestepandtime = PETSC_FALSE;
3956   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3957   (*ctx)->color = PETSC_DRAW_WHITE;
3958   PetscFunctionReturn(0);
3959 }
3960 
3961 #undef __FUNCT__
3962 #define __FUNCT__ "TSMonitorDrawError"
3963 /*@C
3964    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3965    VecView() for the error at each timestep
3966 
3967    Collective on TS
3968 
3969    Input Parameters:
3970 +  ts - the TS context
3971 .  step - current time-step
3972 .  ptime - current time
3973 -  dummy - either a viewer or NULL
3974 
3975    Level: intermediate
3976 
3977 .keywords: TS,  vector, monitor, view
3978 
3979 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3980 @*/
3981 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3982 {
3983   PetscErrorCode   ierr;
3984   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3985   PetscViewer      viewer = ctx->viewer;
3986   Vec              work;
3987 
3988   PetscFunctionBegin;
3989   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3990   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3991   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3992   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3993   ierr = VecView(work,viewer);CHKERRQ(ierr);
3994   ierr = VecDestroy(&work);CHKERRQ(ierr);
3995   PetscFunctionReturn(0);
3996 }
3997 
3998 #include <petsc-private/dmimpl.h>
3999 #undef __FUNCT__
4000 #define __FUNCT__ "TSSetDM"
4001 /*@
4002    TSSetDM - Sets the DM that may be used by some preconditioners
4003 
4004    Logically Collective on TS and DM
4005 
4006    Input Parameters:
4007 +  ts - the preconditioner context
4008 -  dm - the dm
4009 
4010    Level: intermediate
4011 
4012 
4013 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4014 @*/
4015 PetscErrorCode  TSSetDM(TS ts,DM dm)
4016 {
4017   PetscErrorCode ierr;
4018   SNES           snes;
4019   DMTS           tsdm;
4020 
4021   PetscFunctionBegin;
4022   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4023   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4024   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4025     if (ts->dm->dmts && !dm->dmts) {
4026       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4027       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4028       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4029         tsdm->originaldm = dm;
4030       }
4031     }
4032     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4033   }
4034   ts->dm = dm;
4035 
4036   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4037   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4038   PetscFunctionReturn(0);
4039 }
4040 
4041 #undef __FUNCT__
4042 #define __FUNCT__ "TSGetDM"
4043 /*@
4044    TSGetDM - Gets the DM that may be used by some preconditioners
4045 
4046    Not Collective
4047 
4048    Input Parameter:
4049 . ts - the preconditioner context
4050 
4051    Output Parameter:
4052 .  dm - the dm
4053 
4054    Level: intermediate
4055 
4056 
4057 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4058 @*/
4059 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4060 {
4061   PetscErrorCode ierr;
4062 
4063   PetscFunctionBegin;
4064   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4065   if (!ts->dm) {
4066     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4067     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4068   }
4069   *dm = ts->dm;
4070   PetscFunctionReturn(0);
4071 }
4072 
4073 #undef __FUNCT__
4074 #define __FUNCT__ "SNESTSFormFunction"
4075 /*@
4076    SNESTSFormFunction - Function to evaluate nonlinear residual
4077 
4078    Logically Collective on SNES
4079 
4080    Input Parameter:
4081 + snes - nonlinear solver
4082 . U - the current state at which to evaluate the residual
4083 - ctx - user context, must be a TS
4084 
4085    Output Parameter:
4086 . F - the nonlinear residual
4087 
4088    Notes:
4089    This function is not normally called by users and is automatically registered with the SNES used by TS.
4090    It is most frequently passed to MatFDColoringSetFunction().
4091 
4092    Level: advanced
4093 
4094 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4095 @*/
4096 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4097 {
4098   TS             ts = (TS)ctx;
4099   PetscErrorCode ierr;
4100 
4101   PetscFunctionBegin;
4102   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4103   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4104   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4105   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4106   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4107   PetscFunctionReturn(0);
4108 }
4109 
4110 #undef __FUNCT__
4111 #define __FUNCT__ "SNESTSFormJacobian"
4112 /*@
4113    SNESTSFormJacobian - Function to evaluate the Jacobian
4114 
4115    Collective on SNES
4116 
4117    Input Parameter:
4118 + snes - nonlinear solver
4119 . U - the current state at which to evaluate the residual
4120 - ctx - user context, must be a TS
4121 
4122    Output Parameter:
4123 + A - the Jacobian
4124 . B - the preconditioning matrix (may be the same as A)
4125 - flag - indicates any structure change in the matrix
4126 
4127    Notes:
4128    This function is not normally called by users and is automatically registered with the SNES used by TS.
4129 
4130    Level: developer
4131 
4132 .seealso: SNESSetJacobian()
4133 @*/
4134 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4135 {
4136   TS             ts = (TS)ctx;
4137   PetscErrorCode ierr;
4138 
4139   PetscFunctionBegin;
4140   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4141   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4142   PetscValidPointer(A,3);
4143   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4144   PetscValidPointer(B,4);
4145   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4146   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4147   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4148   PetscFunctionReturn(0);
4149 }
4150 
4151 #undef __FUNCT__
4152 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4153 /*@C
4154    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4155 
4156    Collective on TS
4157 
4158    Input Arguments:
4159 +  ts - time stepping context
4160 .  t - time at which to evaluate
4161 .  U - state at which to evaluate
4162 -  ctx - context
4163 
4164    Output Arguments:
4165 .  F - right hand side
4166 
4167    Level: intermediate
4168 
4169    Notes:
4170    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4171    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4172 
4173 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4174 @*/
4175 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4176 {
4177   PetscErrorCode ierr;
4178   Mat            Arhs,Brhs;
4179 
4180   PetscFunctionBegin;
4181   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4182   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4183   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4184   PetscFunctionReturn(0);
4185 }
4186 
4187 #undef __FUNCT__
4188 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4189 /*@C
4190    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4191 
4192    Collective on TS
4193 
4194    Input Arguments:
4195 +  ts - time stepping context
4196 .  t - time at which to evaluate
4197 .  U - state at which to evaluate
4198 -  ctx - context
4199 
4200    Output Arguments:
4201 +  A - pointer to operator
4202 .  B - pointer to preconditioning matrix
4203 -  flg - matrix structure flag
4204 
4205    Level: intermediate
4206 
4207    Notes:
4208    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4209 
4210 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4211 @*/
4212 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4213 {
4214   PetscFunctionBegin;
4215   PetscFunctionReturn(0);
4216 }
4217 
4218 #undef __FUNCT__
4219 #define __FUNCT__ "TSComputeIFunctionLinear"
4220 /*@C
4221    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4222 
4223    Collective on TS
4224 
4225    Input Arguments:
4226 +  ts - time stepping context
4227 .  t - time at which to evaluate
4228 .  U - state at which to evaluate
4229 .  Udot - time derivative of state vector
4230 -  ctx - context
4231 
4232    Output Arguments:
4233 .  F - left hand side
4234 
4235    Level: intermediate
4236 
4237    Notes:
4238    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
4239    user is required to write their own TSComputeIFunction.
4240    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4241    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4242 
4243 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4244 @*/
4245 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4246 {
4247   PetscErrorCode ierr;
4248   Mat            A,B;
4249 
4250   PetscFunctionBegin;
4251   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4252   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4253   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4254   PetscFunctionReturn(0);
4255 }
4256 
4257 #undef __FUNCT__
4258 #define __FUNCT__ "TSComputeIJacobianConstant"
4259 /*@C
4260    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4261 
4262    Collective on TS
4263 
4264    Input Arguments:
4265 +  ts - time stepping context
4266 .  t - time at which to evaluate
4267 .  U - state at which to evaluate
4268 .  Udot - time derivative of state vector
4269 .  shift - shift to apply
4270 -  ctx - context
4271 
4272    Output Arguments:
4273 +  A - pointer to operator
4274 .  B - pointer to preconditioning matrix
4275 -  flg - matrix structure flag
4276 
4277    Level: advanced
4278 
4279    Notes:
4280    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4281 
4282    It is only appropriate for problems of the form
4283 
4284 $     M Udot = F(U,t)
4285 
4286   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4287   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4288   an implicit operator of the form
4289 
4290 $    shift*M + J
4291 
4292   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
4293   a copy of M or reassemble it when requested.
4294 
4295 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4296 @*/
4297 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4298 {
4299   PetscErrorCode ierr;
4300 
4301   PetscFunctionBegin;
4302   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4303   ts->ijacobian.shift = shift;
4304   PetscFunctionReturn(0);
4305 }
4306 
4307 #undef __FUNCT__
4308 #define __FUNCT__ "TSGetEquationType"
4309 /*@
4310    TSGetEquationType - Gets the type of the equation that TS is solving.
4311 
4312    Not Collective
4313 
4314    Input Parameter:
4315 .  ts - the TS context
4316 
4317    Output Parameter:
4318 .  equation_type - see TSEquationType
4319 
4320    Level: beginner
4321 
4322 .keywords: TS, equation type
4323 
4324 .seealso: TSSetEquationType(), TSEquationType
4325 @*/
4326 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4327 {
4328   PetscFunctionBegin;
4329   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4330   PetscValidPointer(equation_type,2);
4331   *equation_type = ts->equation_type;
4332   PetscFunctionReturn(0);
4333 }
4334 
4335 #undef __FUNCT__
4336 #define __FUNCT__ "TSSetEquationType"
4337 /*@
4338    TSSetEquationType - Sets the type of the equation that TS is solving.
4339 
4340    Not Collective
4341 
4342    Input Parameter:
4343 +  ts - the TS context
4344 .  equation_type - see TSEquationType
4345 
4346    Level: advanced
4347 
4348 .keywords: TS, equation type
4349 
4350 .seealso: TSGetEquationType(), TSEquationType
4351 @*/
4352 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4353 {
4354   PetscFunctionBegin;
4355   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4356   ts->equation_type = equation_type;
4357   PetscFunctionReturn(0);
4358 }
4359 
4360 #undef __FUNCT__
4361 #define __FUNCT__ "TSGetConvergedReason"
4362 /*@
4363    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4364 
4365    Not Collective
4366 
4367    Input Parameter:
4368 .  ts - the TS context
4369 
4370    Output Parameter:
4371 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4372             manual pages for the individual convergence tests for complete lists
4373 
4374    Level: beginner
4375 
4376    Notes:
4377    Can only be called after the call to TSSolve() is complete.
4378 
4379 .keywords: TS, nonlinear, set, convergence, test
4380 
4381 .seealso: TSSetConvergenceTest(), TSConvergedReason
4382 @*/
4383 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4384 {
4385   PetscFunctionBegin;
4386   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4387   PetscValidPointer(reason,2);
4388   *reason = ts->reason;
4389   PetscFunctionReturn(0);
4390 }
4391 
4392 #undef __FUNCT__
4393 #define __FUNCT__ "TSSetConvergedReason"
4394 /*@
4395    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4396 
4397    Not Collective
4398 
4399    Input Parameter:
4400 +  ts - the TS context
4401 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4402             manual pages for the individual convergence tests for complete lists
4403 
4404    Level: advanced
4405 
4406    Notes:
4407    Can only be called during TSSolve() is active.
4408 
4409 .keywords: TS, nonlinear, set, convergence, test
4410 
4411 .seealso: TSConvergedReason
4412 @*/
4413 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4414 {
4415   PetscFunctionBegin;
4416   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4417   ts->reason = reason;
4418   PetscFunctionReturn(0);
4419 }
4420 
4421 #undef __FUNCT__
4422 #define __FUNCT__ "TSGetSolveTime"
4423 /*@
4424    TSGetSolveTime - Gets the time after a call to TSSolve()
4425 
4426    Not Collective
4427 
4428    Input Parameter:
4429 .  ts - the TS context
4430 
4431    Output Parameter:
4432 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4433 
4434    Level: beginner
4435 
4436    Notes:
4437    Can only be called after the call to TSSolve() is complete.
4438 
4439 .keywords: TS, nonlinear, set, convergence, test
4440 
4441 .seealso: TSSetConvergenceTest(), TSConvergedReason
4442 @*/
4443 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4444 {
4445   PetscFunctionBegin;
4446   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4447   PetscValidPointer(ftime,2);
4448   *ftime = ts->solvetime;
4449   PetscFunctionReturn(0);
4450 }
4451 
4452 #undef __FUNCT__
4453 #define __FUNCT__ "TSGetTotalSteps"
4454 /*@
4455    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4456 
4457    Not Collective
4458 
4459    Input Parameter:
4460 .  ts - the TS context
4461 
4462    Output Parameter:
4463 .  steps - the number of steps
4464 
4465    Level: beginner
4466 
4467    Notes:
4468    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4469 
4470 .keywords: TS, nonlinear, set, convergence, test
4471 
4472 .seealso: TSSetConvergenceTest(), TSConvergedReason
4473 @*/
4474 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4475 {
4476   PetscFunctionBegin;
4477   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4478   PetscValidPointer(steps,2);
4479   *steps = ts->total_steps;
4480   PetscFunctionReturn(0);
4481 }
4482 
4483 #undef __FUNCT__
4484 #define __FUNCT__ "TSGetSNESIterations"
4485 /*@
4486    TSGetSNESIterations - Gets the total number of nonlinear iterations
4487    used by the time integrator.
4488 
4489    Not Collective
4490 
4491    Input Parameter:
4492 .  ts - TS context
4493 
4494    Output Parameter:
4495 .  nits - number of nonlinear iterations
4496 
4497    Notes:
4498    This counter is reset to zero for each successive call to TSSolve().
4499 
4500    Level: intermediate
4501 
4502 .keywords: TS, get, number, nonlinear, iterations
4503 
4504 .seealso:  TSGetKSPIterations()
4505 @*/
4506 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4507 {
4508   PetscFunctionBegin;
4509   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4510   PetscValidIntPointer(nits,2);
4511   *nits = ts->snes_its;
4512   PetscFunctionReturn(0);
4513 }
4514 
4515 #undef __FUNCT__
4516 #define __FUNCT__ "TSGetKSPIterations"
4517 /*@
4518    TSGetKSPIterations - Gets the total number of linear iterations
4519    used by the time integrator.
4520 
4521    Not Collective
4522 
4523    Input Parameter:
4524 .  ts - TS context
4525 
4526    Output Parameter:
4527 .  lits - number of linear iterations
4528 
4529    Notes:
4530    This counter is reset to zero for each successive call to TSSolve().
4531 
4532    Level: intermediate
4533 
4534 .keywords: TS, get, number, linear, iterations
4535 
4536 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4537 @*/
4538 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4539 {
4540   PetscFunctionBegin;
4541   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4542   PetscValidIntPointer(lits,2);
4543   *lits = ts->ksp_its;
4544   PetscFunctionReturn(0);
4545 }
4546 
4547 #undef __FUNCT__
4548 #define __FUNCT__ "TSGetStepRejections"
4549 /*@
4550    TSGetStepRejections - Gets the total number of rejected steps.
4551 
4552    Not Collective
4553 
4554    Input Parameter:
4555 .  ts - TS context
4556 
4557    Output Parameter:
4558 .  rejects - number of steps rejected
4559 
4560    Notes:
4561    This counter is reset to zero for each successive call to TSSolve().
4562 
4563    Level: intermediate
4564 
4565 .keywords: TS, get, number
4566 
4567 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4568 @*/
4569 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4570 {
4571   PetscFunctionBegin;
4572   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4573   PetscValidIntPointer(rejects,2);
4574   *rejects = ts->reject;
4575   PetscFunctionReturn(0);
4576 }
4577 
4578 #undef __FUNCT__
4579 #define __FUNCT__ "TSGetSNESFailures"
4580 /*@
4581    TSGetSNESFailures - Gets the total number of failed SNES solves
4582 
4583    Not Collective
4584 
4585    Input Parameter:
4586 .  ts - TS context
4587 
4588    Output Parameter:
4589 .  fails - number of failed nonlinear solves
4590 
4591    Notes:
4592    This counter is reset to zero for each successive call to TSSolve().
4593 
4594    Level: intermediate
4595 
4596 .keywords: TS, get, number
4597 
4598 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4599 @*/
4600 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4601 {
4602   PetscFunctionBegin;
4603   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4604   PetscValidIntPointer(fails,2);
4605   *fails = ts->num_snes_failures;
4606   PetscFunctionReturn(0);
4607 }
4608 
4609 #undef __FUNCT__
4610 #define __FUNCT__ "TSSetMaxStepRejections"
4611 /*@
4612    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4613 
4614    Not Collective
4615 
4616    Input Parameter:
4617 +  ts - TS context
4618 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4619 
4620    Notes:
4621    The counter is reset to zero for each step
4622 
4623    Options Database Key:
4624  .  -ts_max_reject - Maximum number of step rejections before a step fails
4625 
4626    Level: intermediate
4627 
4628 .keywords: TS, set, maximum, number
4629 
4630 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4631 @*/
4632 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4633 {
4634   PetscFunctionBegin;
4635   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4636   ts->max_reject = rejects;
4637   PetscFunctionReturn(0);
4638 }
4639 
4640 #undef __FUNCT__
4641 #define __FUNCT__ "TSSetMaxSNESFailures"
4642 /*@
4643    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4644 
4645    Not Collective
4646 
4647    Input Parameter:
4648 +  ts - TS context
4649 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4650 
4651    Notes:
4652    The counter is reset to zero for each successive call to TSSolve().
4653 
4654    Options Database Key:
4655  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4656 
4657    Level: intermediate
4658 
4659 .keywords: TS, set, maximum, number
4660 
4661 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4662 @*/
4663 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4664 {
4665   PetscFunctionBegin;
4666   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4667   ts->max_snes_failures = fails;
4668   PetscFunctionReturn(0);
4669 }
4670 
4671 #undef __FUNCT__
4672 #define __FUNCT__ "TSSetErrorIfStepFails"
4673 /*@
4674    TSSetErrorIfStepFails - Error if no step succeeds
4675 
4676    Not Collective
4677 
4678    Input Parameter:
4679 +  ts - TS context
4680 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4681 
4682    Options Database Key:
4683  .  -ts_error_if_step_fails - Error if no step succeeds
4684 
4685    Level: intermediate
4686 
4687 .keywords: TS, set, error
4688 
4689 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4690 @*/
4691 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4692 {
4693   PetscFunctionBegin;
4694   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4695   ts->errorifstepfailed = err;
4696   PetscFunctionReturn(0);
4697 }
4698 
4699 #undef __FUNCT__
4700 #define __FUNCT__ "TSMonitorSolutionBinary"
4701 /*@C
4702    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4703 
4704    Collective on TS
4705 
4706    Input Parameters:
4707 +  ts - the TS context
4708 .  step - current time-step
4709 .  ptime - current time
4710 .  u - current state
4711 -  viewer - binary viewer
4712 
4713    Level: intermediate
4714 
4715 .keywords: TS,  vector, monitor, view
4716 
4717 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4718 @*/
4719 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4720 {
4721   PetscErrorCode ierr;
4722   PetscViewer    v = (PetscViewer)viewer;
4723 
4724   PetscFunctionBegin;
4725   ierr = VecView(u,v);CHKERRQ(ierr);
4726   PetscFunctionReturn(0);
4727 }
4728 
4729 #undef __FUNCT__
4730 #define __FUNCT__ "TSMonitorSolutionVTK"
4731 /*@C
4732    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4733 
4734    Collective on TS
4735 
4736    Input Parameters:
4737 +  ts - the TS context
4738 .  step - current time-step
4739 .  ptime - current time
4740 .  u - current state
4741 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4742 
4743    Level: intermediate
4744 
4745    Notes:
4746    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.
4747    These are named according to the file name template.
4748 
4749    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4750 
4751 .keywords: TS,  vector, monitor, view
4752 
4753 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4754 @*/
4755 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4756 {
4757   PetscErrorCode ierr;
4758   char           filename[PETSC_MAX_PATH_LEN];
4759   PetscViewer    viewer;
4760 
4761   PetscFunctionBegin;
4762   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4763   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4764   ierr = VecView(u,viewer);CHKERRQ(ierr);
4765   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4766   PetscFunctionReturn(0);
4767 }
4768 
4769 #undef __FUNCT__
4770 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4771 /*@C
4772    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4773 
4774    Collective on TS
4775 
4776    Input Parameters:
4777 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4778 
4779    Level: intermediate
4780 
4781    Note:
4782    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4783 
4784 .keywords: TS,  vector, monitor, view
4785 
4786 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4787 @*/
4788 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4789 {
4790   PetscErrorCode ierr;
4791 
4792   PetscFunctionBegin;
4793   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4794   PetscFunctionReturn(0);
4795 }
4796 
4797 #undef __FUNCT__
4798 #define __FUNCT__ "TSGetAdapt"
4799 /*@
4800    TSGetAdapt - Get the adaptive controller context for the current method
4801 
4802    Collective on TS if controller has not been created yet
4803 
4804    Input Arguments:
4805 .  ts - time stepping context
4806 
4807    Output Arguments:
4808 .  adapt - adaptive controller
4809 
4810    Level: intermediate
4811 
4812 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4813 @*/
4814 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4815 {
4816   PetscErrorCode ierr;
4817 
4818   PetscFunctionBegin;
4819   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4820   PetscValidPointer(adapt,2);
4821   if (!ts->adapt) {
4822     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4823     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4824     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4825   }
4826   *adapt = ts->adapt;
4827   PetscFunctionReturn(0);
4828 }
4829 
4830 #undef __FUNCT__
4831 #define __FUNCT__ "TSSetTolerances"
4832 /*@
4833    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4834 
4835    Logically Collective
4836 
4837    Input Arguments:
4838 +  ts - time integration context
4839 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4840 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4841 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4842 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4843 
4844    Options Database keys:
4845 +  -ts_rtol <rtol> - relative tolerance for local truncation error
4846 -  -ts_atol <atol> Absolute tolerance for local truncation error
4847 
4848    Level: beginner
4849 
4850 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4851 @*/
4852 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4853 {
4854   PetscErrorCode ierr;
4855 
4856   PetscFunctionBegin;
4857   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4858   if (vatol) {
4859     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4860     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4861 
4862     ts->vatol = vatol;
4863   }
4864   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4865   if (vrtol) {
4866     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4867     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4868 
4869     ts->vrtol = vrtol;
4870   }
4871   PetscFunctionReturn(0);
4872 }
4873 
4874 #undef __FUNCT__
4875 #define __FUNCT__ "TSGetTolerances"
4876 /*@
4877    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4878 
4879    Logically Collective
4880 
4881    Input Arguments:
4882 .  ts - time integration context
4883 
4884    Output Arguments:
4885 +  atol - scalar absolute tolerances, NULL to ignore
4886 .  vatol - vector of absolute tolerances, NULL to ignore
4887 .  rtol - scalar relative tolerances, NULL to ignore
4888 -  vrtol - vector of relative tolerances, NULL to ignore
4889 
4890    Level: beginner
4891 
4892 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4893 @*/
4894 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4895 {
4896   PetscFunctionBegin;
4897   if (atol)  *atol  = ts->atol;
4898   if (vatol) *vatol = ts->vatol;
4899   if (rtol)  *rtol  = ts->rtol;
4900   if (vrtol) *vrtol = ts->vrtol;
4901   PetscFunctionReturn(0);
4902 }
4903 
4904 #undef __FUNCT__
4905 #define __FUNCT__ "TSErrorNormWRMS"
4906 /*@
4907    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4908 
4909    Collective on TS
4910 
4911    Input Arguments:
4912 +  ts - time stepping context
4913 -  Y - state vector to be compared to ts->vec_sol
4914 
4915    Output Arguments:
4916 .  norm - weighted norm, a value of 1.0 is considered small
4917 
4918    Level: developer
4919 
4920 .seealso: TSSetTolerances()
4921 @*/
4922 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4923 {
4924   PetscErrorCode    ierr;
4925   PetscInt          i,n,N;
4926   const PetscScalar *u,*y;
4927   Vec               U;
4928   PetscReal         sum,gsum;
4929 
4930   PetscFunctionBegin;
4931   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4932   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4933   PetscValidPointer(norm,3);
4934   U = ts->vec_sol;
4935   PetscCheckSameTypeAndComm(U,1,Y,2);
4936   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4937 
4938   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4939   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4940   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4941   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4942   sum  = 0.;
4943   if (ts->vatol && ts->vrtol) {
4944     const PetscScalar *atol,*rtol;
4945     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4946     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4947     for (i=0; i<n; i++) {
4948       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4949       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4950     }
4951     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4952     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4953   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4954     const PetscScalar *atol;
4955     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4956     for (i=0; i<n; i++) {
4957       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4958       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4959     }
4960     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4961   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4962     const PetscScalar *rtol;
4963     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4964     for (i=0; i<n; i++) {
4965       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4966       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4967     }
4968     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4969   } else {                      /* scalar atol, scalar rtol */
4970     for (i=0; i<n; i++) {
4971       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4972       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4973     }
4974   }
4975   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4976   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4977 
4978   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4979   *norm = PetscSqrtReal(gsum / N);
4980   if (PetscIsInfOrNanReal(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4981   PetscFunctionReturn(0);
4982 }
4983 
4984 #undef __FUNCT__
4985 #define __FUNCT__ "TSSetCFLTimeLocal"
4986 /*@
4987    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4988 
4989    Logically Collective on TS
4990 
4991    Input Arguments:
4992 +  ts - time stepping context
4993 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4994 
4995    Note:
4996    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4997 
4998    Level: intermediate
4999 
5000 .seealso: TSGetCFLTime(), TSADAPTCFL
5001 @*/
5002 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
5003 {
5004   PetscFunctionBegin;
5005   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5006   ts->cfltime_local = cfltime;
5007   ts->cfltime       = -1.;
5008   PetscFunctionReturn(0);
5009 }
5010 
5011 #undef __FUNCT__
5012 #define __FUNCT__ "TSGetCFLTime"
5013 /*@
5014    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5015 
5016    Collective on TS
5017 
5018    Input Arguments:
5019 .  ts - time stepping context
5020 
5021    Output Arguments:
5022 .  cfltime - maximum stable time step for forward Euler
5023 
5024    Level: advanced
5025 
5026 .seealso: TSSetCFLTimeLocal()
5027 @*/
5028 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5029 {
5030   PetscErrorCode ierr;
5031 
5032   PetscFunctionBegin;
5033   if (ts->cfltime < 0) {
5034     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5035   }
5036   *cfltime = ts->cfltime;
5037   PetscFunctionReturn(0);
5038 }
5039 
5040 #undef __FUNCT__
5041 #define __FUNCT__ "TSVISetVariableBounds"
5042 /*@
5043    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5044 
5045    Input Parameters:
5046 .  ts   - the TS context.
5047 .  xl   - lower bound.
5048 .  xu   - upper bound.
5049 
5050    Notes:
5051    If this routine is not called then the lower and upper bounds are set to
5052    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5053 
5054    Level: advanced
5055 
5056 @*/
5057 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5058 {
5059   PetscErrorCode ierr;
5060   SNES           snes;
5061 
5062   PetscFunctionBegin;
5063   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5064   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5065   PetscFunctionReturn(0);
5066 }
5067 
5068 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5069 #include <mex.h>
5070 
5071 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5072 
5073 #undef __FUNCT__
5074 #define __FUNCT__ "TSComputeFunction_Matlab"
5075 /*
5076    TSComputeFunction_Matlab - Calls the function that has been set with
5077                          TSSetFunctionMatlab().
5078 
5079    Collective on TS
5080 
5081    Input Parameters:
5082 +  snes - the TS context
5083 -  u - input vector
5084 
5085    Output Parameter:
5086 .  y - function vector, as set by TSSetFunction()
5087 
5088    Notes:
5089    TSComputeFunction() is typically used within nonlinear solvers
5090    implementations, so most users would not generally call this routine
5091    themselves.
5092 
5093    Level: developer
5094 
5095 .keywords: TS, nonlinear, compute, function
5096 
5097 .seealso: TSSetFunction(), TSGetFunction()
5098 */
5099 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5100 {
5101   PetscErrorCode  ierr;
5102   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5103   int             nlhs  = 1,nrhs = 7;
5104   mxArray         *plhs[1],*prhs[7];
5105   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5106 
5107   PetscFunctionBegin;
5108   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5109   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5110   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5111   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5112   PetscCheckSameComm(snes,1,u,3);
5113   PetscCheckSameComm(snes,1,y,5);
5114 
5115   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5116   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5117   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5118   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5119 
5120   prhs[0] =  mxCreateDoubleScalar((double)ls);
5121   prhs[1] =  mxCreateDoubleScalar(time);
5122   prhs[2] =  mxCreateDoubleScalar((double)lx);
5123   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5124   prhs[4] =  mxCreateDoubleScalar((double)ly);
5125   prhs[5] =  mxCreateString(sctx->funcname);
5126   prhs[6] =  sctx->ctx;
5127   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5128   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5129   mxDestroyArray(prhs[0]);
5130   mxDestroyArray(prhs[1]);
5131   mxDestroyArray(prhs[2]);
5132   mxDestroyArray(prhs[3]);
5133   mxDestroyArray(prhs[4]);
5134   mxDestroyArray(prhs[5]);
5135   mxDestroyArray(plhs[0]);
5136   PetscFunctionReturn(0);
5137 }
5138 
5139 
5140 #undef __FUNCT__
5141 #define __FUNCT__ "TSSetFunctionMatlab"
5142 /*
5143    TSSetFunctionMatlab - Sets the function evaluation routine and function
5144    vector for use by the TS routines in solving ODEs
5145    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5146 
5147    Logically Collective on TS
5148 
5149    Input Parameters:
5150 +  ts - the TS context
5151 -  func - function evaluation routine
5152 
5153    Calling sequence of func:
5154 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5155 
5156    Level: beginner
5157 
5158 .keywords: TS, nonlinear, set, function
5159 
5160 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5161 */
5162 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5163 {
5164   PetscErrorCode  ierr;
5165   TSMatlabContext *sctx;
5166 
5167   PetscFunctionBegin;
5168   /* currently sctx is memory bleed */
5169   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5170   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5171   /*
5172      This should work, but it doesn't
5173   sctx->ctx = ctx;
5174   mexMakeArrayPersistent(sctx->ctx);
5175   */
5176   sctx->ctx = mxDuplicateArray(ctx);
5177 
5178   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5179   PetscFunctionReturn(0);
5180 }
5181 
5182 #undef __FUNCT__
5183 #define __FUNCT__ "TSComputeJacobian_Matlab"
5184 /*
5185    TSComputeJacobian_Matlab - Calls the function that has been set with
5186                          TSSetJacobianMatlab().
5187 
5188    Collective on TS
5189 
5190    Input Parameters:
5191 +  ts - the TS context
5192 .  u - input vector
5193 .  A, B - the matrices
5194 -  ctx - user context
5195 
5196    Level: developer
5197 
5198 .keywords: TS, nonlinear, compute, function
5199 
5200 .seealso: TSSetFunction(), TSGetFunction()
5201 @*/
5202 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5203 {
5204   PetscErrorCode  ierr;
5205   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5206   int             nlhs  = 2,nrhs = 9;
5207   mxArray         *plhs[2],*prhs[9];
5208   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5209 
5210   PetscFunctionBegin;
5211   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5212   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5213 
5214   /* call Matlab function in ctx with arguments u and y */
5215 
5216   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5217   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5218   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5219   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5220   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5221 
5222   prhs[0] =  mxCreateDoubleScalar((double)ls);
5223   prhs[1] =  mxCreateDoubleScalar((double)time);
5224   prhs[2] =  mxCreateDoubleScalar((double)lx);
5225   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5226   prhs[4] =  mxCreateDoubleScalar((double)shift);
5227   prhs[5] =  mxCreateDoubleScalar((double)lA);
5228   prhs[6] =  mxCreateDoubleScalar((double)lB);
5229   prhs[7] =  mxCreateString(sctx->funcname);
5230   prhs[8] =  sctx->ctx;
5231   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5232   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5233   mxDestroyArray(prhs[0]);
5234   mxDestroyArray(prhs[1]);
5235   mxDestroyArray(prhs[2]);
5236   mxDestroyArray(prhs[3]);
5237   mxDestroyArray(prhs[4]);
5238   mxDestroyArray(prhs[5]);
5239   mxDestroyArray(prhs[6]);
5240   mxDestroyArray(prhs[7]);
5241   mxDestroyArray(plhs[0]);
5242   mxDestroyArray(plhs[1]);
5243   PetscFunctionReturn(0);
5244 }
5245 
5246 
5247 #undef __FUNCT__
5248 #define __FUNCT__ "TSSetJacobianMatlab"
5249 /*
5250    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5251    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
5252 
5253    Logically Collective on TS
5254 
5255    Input Parameters:
5256 +  ts - the TS context
5257 .  A,B - Jacobian matrices
5258 .  func - function evaluation routine
5259 -  ctx - user context
5260 
5261    Calling sequence of func:
5262 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5263 
5264 
5265    Level: developer
5266 
5267 .keywords: TS, nonlinear, set, function
5268 
5269 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5270 */
5271 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5272 {
5273   PetscErrorCode  ierr;
5274   TSMatlabContext *sctx;
5275 
5276   PetscFunctionBegin;
5277   /* currently sctx is memory bleed */
5278   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5279   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5280   /*
5281      This should work, but it doesn't
5282   sctx->ctx = ctx;
5283   mexMakeArrayPersistent(sctx->ctx);
5284   */
5285   sctx->ctx = mxDuplicateArray(ctx);
5286 
5287   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5288   PetscFunctionReturn(0);
5289 }
5290 
5291 #undef __FUNCT__
5292 #define __FUNCT__ "TSMonitor_Matlab"
5293 /*
5294    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5295 
5296    Collective on TS
5297 
5298 .seealso: TSSetFunction(), TSGetFunction()
5299 @*/
5300 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5301 {
5302   PetscErrorCode  ierr;
5303   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5304   int             nlhs  = 1,nrhs = 6;
5305   mxArray         *plhs[1],*prhs[6];
5306   long long int   lx = 0,ls = 0;
5307 
5308   PetscFunctionBegin;
5309   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5310   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5311 
5312   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5313   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5314 
5315   prhs[0] =  mxCreateDoubleScalar((double)ls);
5316   prhs[1] =  mxCreateDoubleScalar((double)it);
5317   prhs[2] =  mxCreateDoubleScalar((double)time);
5318   prhs[3] =  mxCreateDoubleScalar((double)lx);
5319   prhs[4] =  mxCreateString(sctx->funcname);
5320   prhs[5] =  sctx->ctx;
5321   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5322   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5323   mxDestroyArray(prhs[0]);
5324   mxDestroyArray(prhs[1]);
5325   mxDestroyArray(prhs[2]);
5326   mxDestroyArray(prhs[3]);
5327   mxDestroyArray(prhs[4]);
5328   mxDestroyArray(plhs[0]);
5329   PetscFunctionReturn(0);
5330 }
5331 
5332 
5333 #undef __FUNCT__
5334 #define __FUNCT__ "TSMonitorSetMatlab"
5335 /*
5336    TSMonitorSetMatlab - Sets the monitor function from Matlab
5337 
5338    Level: developer
5339 
5340 .keywords: TS, nonlinear, set, function
5341 
5342 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5343 */
5344 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5345 {
5346   PetscErrorCode  ierr;
5347   TSMatlabContext *sctx;
5348 
5349   PetscFunctionBegin;
5350   /* currently sctx is memory bleed */
5351   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5352   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5353   /*
5354      This should work, but it doesn't
5355   sctx->ctx = ctx;
5356   mexMakeArrayPersistent(sctx->ctx);
5357   */
5358   sctx->ctx = mxDuplicateArray(ctx);
5359 
5360   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5361   PetscFunctionReturn(0);
5362 }
5363 #endif
5364 
5365 
5366 
5367 #undef __FUNCT__
5368 #define __FUNCT__ "TSMonitorLGSolution"
5369 /*@C
5370    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5371        in a time based line graph
5372 
5373    Collective on TS
5374 
5375    Input Parameters:
5376 +  ts - the TS context
5377 .  step - current time-step
5378 .  ptime - current time
5379 -  lg - a line graph object
5380 
5381    Level: intermediate
5382 
5383     Notes: each process in a parallel run displays its component solutions in a separate window
5384 
5385 .keywords: TS,  vector, monitor, view
5386 
5387 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5388 @*/
5389 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5390 {
5391   PetscErrorCode    ierr;
5392   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5393   const PetscScalar *yy;
5394   PetscInt          dim;
5395 
5396   PetscFunctionBegin;
5397   if (!step) {
5398     PetscDrawAxis axis;
5399     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5400     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5401     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5402     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5403     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5404   }
5405   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
5406 #if defined(PETSC_USE_COMPLEX)
5407   {
5408     PetscReal *yreal;
5409     PetscInt  i,n;
5410     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
5411     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5412     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5413     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5414     ierr = PetscFree(yreal);CHKERRQ(ierr);
5415   }
5416 #else
5417   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5418 #endif
5419   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
5420   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5421     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5422   }
5423   PetscFunctionReturn(0);
5424 }
5425 
5426 #undef __FUNCT__
5427 #define __FUNCT__ "TSMonitorLGError"
5428 /*@C
5429    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
5430        in a time based line graph
5431 
5432    Collective on TS
5433 
5434    Input Parameters:
5435 +  ts - the TS context
5436 .  step - current time-step
5437 .  ptime - current time
5438 -  lg - a line graph object
5439 
5440    Level: intermediate
5441 
5442    Notes:
5443    Only for sequential solves.
5444 
5445    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
5446 
5447    Options Database Keys:
5448 .  -ts_monitor_lg_error - create a graphical monitor of error history
5449 
5450 .keywords: TS,  vector, monitor, view
5451 
5452 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
5453 @*/
5454 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5455 {
5456   PetscErrorCode    ierr;
5457   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5458   const PetscScalar *yy;
5459   Vec               y;
5460   PetscInt          dim;
5461 
5462   PetscFunctionBegin;
5463   if (!step) {
5464     PetscDrawAxis axis;
5465     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5466     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
5467     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5468     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5469     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5470   }
5471   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
5472   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
5473   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
5474   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
5475 #if defined(PETSC_USE_COMPLEX)
5476   {
5477     PetscReal *yreal;
5478     PetscInt  i,n;
5479     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
5480     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5481     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5482     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5483     ierr = PetscFree(yreal);CHKERRQ(ierr);
5484   }
5485 #else
5486   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5487 #endif
5488   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
5489   ierr = VecDestroy(&y);CHKERRQ(ierr);
5490   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5491     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5492   }
5493   PetscFunctionReturn(0);
5494 }
5495 
5496 #undef __FUNCT__
5497 #define __FUNCT__ "TSMonitorLGSNESIterations"
5498 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5499 {
5500   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5501   PetscReal      x   = ptime,y;
5502   PetscErrorCode ierr;
5503   PetscInt       its;
5504 
5505   PetscFunctionBegin;
5506   if (!n) {
5507     PetscDrawAxis axis;
5508 
5509     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5510     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
5511     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5512 
5513     ctx->snes_its = 0;
5514   }
5515   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
5516   y    = its - ctx->snes_its;
5517   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5518   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5519     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5520   }
5521   ctx->snes_its = its;
5522   PetscFunctionReturn(0);
5523 }
5524 
5525 #undef __FUNCT__
5526 #define __FUNCT__ "TSMonitorLGKSPIterations"
5527 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5528 {
5529   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5530   PetscReal      x   = ptime,y;
5531   PetscErrorCode ierr;
5532   PetscInt       its;
5533 
5534   PetscFunctionBegin;
5535   if (!n) {
5536     PetscDrawAxis axis;
5537 
5538     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5539     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
5540     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5541 
5542     ctx->ksp_its = 0;
5543   }
5544   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
5545   y    = its - ctx->ksp_its;
5546   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5547   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5548     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5549   }
5550   ctx->ksp_its = its;
5551   PetscFunctionReturn(0);
5552 }
5553 
5554 #undef __FUNCT__
5555 #define __FUNCT__ "TSComputeLinearStability"
5556 /*@
5557    TSComputeLinearStability - computes the linear stability function at a point
5558 
5559    Collective on TS and Vec
5560 
5561    Input Parameters:
5562 +  ts - the TS context
5563 -  xr,xi - real and imaginary part of input arguments
5564 
5565    Output Parameters:
5566 .  yr,yi - real and imaginary part of function value
5567 
5568    Level: developer
5569 
5570 .keywords: TS, compute
5571 
5572 .seealso: TSSetRHSFunction(), TSComputeIFunction()
5573 @*/
5574 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
5575 {
5576   PetscErrorCode ierr;
5577 
5578   PetscFunctionBegin;
5579   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5580   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
5581   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
5582   PetscFunctionReturn(0);
5583 }
5584 
5585 #undef __FUNCT__
5586 #define __FUNCT__ "TSRollBack"
5587 /*@
5588    TSRollBack - Rolls back one time step
5589 
5590    Collective on TS
5591 
5592    Input Parameter:
5593 .  ts - the TS context obtained from TSCreate()
5594 
5595    Level: advanced
5596 
5597 .keywords: TS, timestep, rollback
5598 
5599 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
5600 @*/
5601 PetscErrorCode  TSRollBack(TS ts)
5602 {
5603   PetscErrorCode ierr;
5604 
5605   PetscFunctionBegin;
5606   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5607 
5608   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
5609   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
5610   ts->time_step = ts->ptime - ts->ptime_prev;
5611   ts->ptime = ts->ptime_prev;
5612   ts->steprollback = PETSC_TRUE; /* Flag to indicate that the step is rollbacked */
5613   PetscFunctionReturn(0);
5614 }
5615 
5616 #undef __FUNCT__
5617 #define __FUNCT__ "TSGetStages"
5618 /*@
5619    TSGetStages - Get the number of stages and stage values
5620 
5621    Input Parameter:
5622 .  ts - the TS context obtained from TSCreate()
5623 
5624    Level: advanced
5625 
5626 .keywords: TS, getstages
5627 
5628 .seealso: TSCreate()
5629 @*/
5630 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
5631 {
5632   PetscErrorCode ierr;
5633 
5634   PetscFunctionBegin;
5635   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5636   PetscValidPointer(ns,2);
5637 
5638   if (!ts->ops->getstages) *ns=0;
5639   else {
5640     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
5641   }
5642   PetscFunctionReturn(0);
5643 }
5644 
5645