xref: /petsc/src/ts/interface/ts.c (revision 920aabf26cba45d7728af1648794401b790f31de)
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   if (ts->ops->adjointsetup) {
1916     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
1917   }
1918   ts->adjointsetupcalled = PETSC_TRUE;
1919   PetscFunctionReturn(0);
1920 }
1921 
1922 #undef __FUNCT__
1923 #define __FUNCT__ "TSReset"
1924 /*@
1925    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1926 
1927    Collective on TS
1928 
1929    Input Parameter:
1930 .  ts - the TS context obtained from TSCreate()
1931 
1932    Level: beginner
1933 
1934 .keywords: TS, timestep, reset
1935 
1936 .seealso: TSCreate(), TSSetup(), TSDestroy()
1937 @*/
1938 PetscErrorCode  TSReset(TS ts)
1939 {
1940   PetscErrorCode ierr;
1941 
1942   PetscFunctionBegin;
1943   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1944 
1945   if (ts->ops->reset) {
1946     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1947   }
1948   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1949 
1950   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1951   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1952   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1953   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1954   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1955   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1956   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1957   ts->vecs_sensi = 0;
1958   ts->vecs_sensip = 0;
1959   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
1960   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
1961   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
1962   ts->setupcalled = PETSC_FALSE;
1963   PetscFunctionReturn(0);
1964 }
1965 
1966 #undef __FUNCT__
1967 #define __FUNCT__ "TSDestroy"
1968 /*@
1969    TSDestroy - Destroys the timestepper context that was created
1970    with TSCreate().
1971 
1972    Collective on TS
1973 
1974    Input Parameter:
1975 .  ts - the TS context obtained from TSCreate()
1976 
1977    Level: beginner
1978 
1979 .keywords: TS, timestepper, destroy
1980 
1981 .seealso: TSCreate(), TSSetUp(), TSSolve()
1982 @*/
1983 PetscErrorCode  TSDestroy(TS *ts)
1984 {
1985   PetscErrorCode ierr;
1986 
1987   PetscFunctionBegin;
1988   if (!*ts) PetscFunctionReturn(0);
1989   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1990   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1991 
1992   ierr = TSReset((*ts));CHKERRQ(ierr);
1993 
1994   /* if memory was published with SAWs then destroy it */
1995   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
1996   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1997 
1998   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
1999 
2000   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2001   if ((*ts)->event) {
2002     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2003   }
2004   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2005   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2006   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2007 
2008   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2009   PetscFunctionReturn(0);
2010 }
2011 
2012 #undef __FUNCT__
2013 #define __FUNCT__ "TSGetSNES"
2014 /*@
2015    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2016    a TS (timestepper) context. Valid only for nonlinear problems.
2017 
2018    Not Collective, but SNES is parallel if TS is parallel
2019 
2020    Input Parameter:
2021 .  ts - the TS context obtained from TSCreate()
2022 
2023    Output Parameter:
2024 .  snes - the nonlinear solver context
2025 
2026    Notes:
2027    The user can then directly manipulate the SNES context to set various
2028    options, etc.  Likewise, the user can then extract and manipulate the
2029    KSP, KSP, and PC contexts as well.
2030 
2031    TSGetSNES() does not work for integrators that do not use SNES; in
2032    this case TSGetSNES() returns NULL in snes.
2033 
2034    Level: beginner
2035 
2036 .keywords: timestep, get, SNES
2037 @*/
2038 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2039 {
2040   PetscErrorCode ierr;
2041 
2042   PetscFunctionBegin;
2043   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2044   PetscValidPointer(snes,2);
2045   if (!ts->snes) {
2046     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2047     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2048     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2049     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2050     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2051     if (ts->problem_type == TS_LINEAR) {
2052       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2053     }
2054   }
2055   *snes = ts->snes;
2056   PetscFunctionReturn(0);
2057 }
2058 
2059 #undef __FUNCT__
2060 #define __FUNCT__ "TSSetSNES"
2061 /*@
2062    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2063 
2064    Collective
2065 
2066    Input Parameter:
2067 +  ts - the TS context obtained from TSCreate()
2068 -  snes - the nonlinear solver context
2069 
2070    Notes:
2071    Most users should have the TS created by calling TSGetSNES()
2072 
2073    Level: developer
2074 
2075 .keywords: timestep, set, SNES
2076 @*/
2077 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2078 {
2079   PetscErrorCode ierr;
2080   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2081 
2082   PetscFunctionBegin;
2083   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2084   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2085   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2086   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2087 
2088   ts->snes = snes;
2089 
2090   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2091   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2092   if (func == SNESTSFormJacobian) {
2093     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2094   }
2095   PetscFunctionReturn(0);
2096 }
2097 
2098 #undef __FUNCT__
2099 #define __FUNCT__ "TSGetKSP"
2100 /*@
2101    TSGetKSP - Returns the KSP (linear solver) associated with
2102    a TS (timestepper) context.
2103 
2104    Not Collective, but KSP is parallel if TS is parallel
2105 
2106    Input Parameter:
2107 .  ts - the TS context obtained from TSCreate()
2108 
2109    Output Parameter:
2110 .  ksp - the nonlinear solver context
2111 
2112    Notes:
2113    The user can then directly manipulate the KSP context to set various
2114    options, etc.  Likewise, the user can then extract and manipulate the
2115    KSP and PC contexts as well.
2116 
2117    TSGetKSP() does not work for integrators that do not use KSP;
2118    in this case TSGetKSP() returns NULL in ksp.
2119 
2120    Level: beginner
2121 
2122 .keywords: timestep, get, KSP
2123 @*/
2124 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2125 {
2126   PetscErrorCode ierr;
2127   SNES           snes;
2128 
2129   PetscFunctionBegin;
2130   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2131   PetscValidPointer(ksp,2);
2132   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2133   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2134   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2135   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2136   PetscFunctionReturn(0);
2137 }
2138 
2139 /* ----------- Routines to set solver parameters ---------- */
2140 
2141 #undef __FUNCT__
2142 #define __FUNCT__ "TSGetDuration"
2143 /*@
2144    TSGetDuration - Gets the maximum number of timesteps to use and
2145    maximum time for iteration.
2146 
2147    Not Collective
2148 
2149    Input Parameters:
2150 +  ts       - the TS context obtained from TSCreate()
2151 .  maxsteps - maximum number of iterations to use, or NULL
2152 -  maxtime  - final time to iterate to, or NULL
2153 
2154    Level: intermediate
2155 
2156 .keywords: TS, timestep, get, maximum, iterations, time
2157 @*/
2158 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2159 {
2160   PetscFunctionBegin;
2161   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2162   if (maxsteps) {
2163     PetscValidIntPointer(maxsteps,2);
2164     *maxsteps = ts->max_steps;
2165   }
2166   if (maxtime) {
2167     PetscValidScalarPointer(maxtime,3);
2168     *maxtime = ts->max_time;
2169   }
2170   PetscFunctionReturn(0);
2171 }
2172 
2173 #undef __FUNCT__
2174 #define __FUNCT__ "TSSetDuration"
2175 /*@
2176    TSSetDuration - Sets the maximum number of timesteps to use and
2177    maximum time for iteration.
2178 
2179    Logically Collective on TS
2180 
2181    Input Parameters:
2182 +  ts - the TS context obtained from TSCreate()
2183 .  maxsteps - maximum number of iterations to use
2184 -  maxtime - final time to iterate to
2185 
2186    Options Database Keys:
2187 .  -ts_max_steps <maxsteps> - Sets maxsteps
2188 .  -ts_final_time <maxtime> - Sets maxtime
2189 
2190    Notes:
2191    The default maximum number of iterations is 5000. Default time is 5.0
2192 
2193    Level: intermediate
2194 
2195 .keywords: TS, timestep, set, maximum, iterations
2196 
2197 .seealso: TSSetExactFinalTime()
2198 @*/
2199 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2200 {
2201   PetscFunctionBegin;
2202   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2203   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2204   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2205   if (maxsteps >= 0) ts->max_steps = maxsteps;
2206   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2207   PetscFunctionReturn(0);
2208 }
2209 
2210 #undef __FUNCT__
2211 #define __FUNCT__ "TSSetSolution"
2212 /*@
2213    TSSetSolution - Sets the initial solution vector
2214    for use by the TS routines.
2215 
2216    Logically Collective on TS and Vec
2217 
2218    Input Parameters:
2219 +  ts - the TS context obtained from TSCreate()
2220 -  u - the solution vector
2221 
2222    Level: beginner
2223 
2224 .keywords: TS, timestep, set, solution, initial conditions
2225 @*/
2226 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2227 {
2228   PetscErrorCode ierr;
2229   DM             dm;
2230 
2231   PetscFunctionBegin;
2232   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2233   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2234   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2235   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2236 
2237   ts->vec_sol = u;
2238 
2239   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2240   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2241   PetscFunctionReturn(0);
2242 }
2243 
2244 #undef __FUNCT__
2245 #define __FUNCT__ "TSAdjointSetSteps"
2246 /*@
2247    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2248 
2249    Logically Collective on TS
2250 
2251    Input Parameters:
2252 +  ts - the TS context obtained from TSCreate()
2253 .  steps - number of steps to use
2254 
2255    Level: intermediate
2256 
2257    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2258           so as to integrate back to less than the original timestep
2259 
2260 .keywords: TS, timestep, set, maximum, iterations
2261 
2262 .seealso: TSSetExactFinalTime()
2263 @*/
2264 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2265 {
2266   PetscFunctionBegin;
2267   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2268   PetscValidLogicalCollectiveInt(ts,steps,2);
2269   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2270   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2271   ts->adjoint_max_steps = steps;
2272   PetscFunctionReturn(0);
2273 }
2274 
2275 #undef __FUNCT__
2276 #define __FUNCT__ "TSAdjointSetCostGradients"
2277 /*@
2278    TSAdjointSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2279       for use by the TSAdjoint routines.
2280 
2281    Logically Collective on TS and Vec
2282 
2283    Input Parameters:
2284 +  ts - the TS context obtained from TSCreate()
2285 .  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
2286 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2287 
2288    Level: beginner
2289 
2290    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2291 
2292 .keywords: TS, timestep, set, sensitivity, initial conditions
2293 @*/
2294 PetscErrorCode  TSAdjointSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2295 {
2296   PetscFunctionBegin;
2297   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2298   PetscValidPointer(lambda,2);
2299   ts->vecs_sensi  = lambda;
2300   ts->vecs_sensip = mu;
2301   ts->numcost  = numcost;
2302   PetscFunctionReturn(0);
2303 }
2304 
2305 #undef __FUNCT__
2306 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2307 /*@C
2308   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.
2309 
2310   Logically Collective on TS
2311 
2312   Input Parameters:
2313 + ts   - The TS context obtained from TSCreate()
2314 - func - The function
2315 
2316   Calling sequence of func:
2317 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2318 +   t - current timestep
2319 .   y - input vector (current ODE solution)
2320 .   A - output matrix
2321 -   ctx - [optional] user-defined function context
2322 
2323   Level: intermediate
2324 
2325   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
2326 
2327 .keywords: TS, sensitivity
2328 .seealso:
2329 @*/
2330 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2331 {
2332   PetscErrorCode ierr;
2333 
2334   PetscFunctionBegin;
2335   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2336   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2337 
2338   ts->rhsjacobianp    = func;
2339   ts->rhsjacobianpctx = ctx;
2340   if(Amat) {
2341     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2342     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2343     ts->Jacp = Amat;
2344   }
2345   PetscFunctionReturn(0);
2346 }
2347 
2348 #undef __FUNCT__
2349 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2350 /*@C
2351   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2352 
2353   Collective on TS
2354 
2355   Input Parameters:
2356 . ts   - The TS context obtained from TSCreate()
2357 
2358   Level: developer
2359 
2360 .keywords: TS, sensitivity
2361 .seealso: TSAdjointSetRHSJacobian()
2362 @*/
2363 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2364 {
2365   PetscErrorCode ierr;
2366 
2367   PetscFunctionBegin;
2368   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2369   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2370   PetscValidPointer(Amat,4);
2371 
2372   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2373   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2374   PetscStackPop;
2375   PetscFunctionReturn(0);
2376 }
2377 
2378 #undef __FUNCT__
2379 #define __FUNCT__ "TSAdjointSetCostIntegrand"
2380 /*@C
2381     TSAdjointSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2382 
2383     Logically Collective on TS
2384 
2385     Input Parameters:
2386 +   ts - the TS context obtained from TSCreate()
2387 .   numcost - number of gradients to be computed, this is the number of cost functions
2388 .   rf - routine for evaluating the integrand function
2389 .   drdy - array of vectors to contain the gradients of the r's with respect to y, NULL if not a function of y, each vector has the same size and parallel layout as the vector y
2390 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2391 .   drdp - array of vectors to contain the gradients of the r's with respect to p, NULL if not a function of p, each vector has the same size as p.
2392 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2393 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2394 
2395     Calling sequence of rf:
2396 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2397 
2398 +   t - current timestep
2399 .   y - input vector
2400 .   f - function result; one vector entry for each cost function
2401 -   ctx - [optional] user-defined function context
2402 
2403    Calling sequence of drdyf:
2404 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2405 
2406    Calling sequence of drdpf:
2407 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2408 
2409     Level: intermediate
2410 
2411     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2412 
2413 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2414 
2415 .seealso: TSAdjointSetRHSJacobian(),TSAdjointGetCostGradients(), TSAdjointSetCostGradients()
2416 @*/
2417 PetscErrorCode  TSAdjointSetCostIntegrand(TS ts,PetscInt numcost,          PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2418                                                                     Vec *drdy,PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2419                                                                     Vec *drdp,PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2420 {
2421   PetscErrorCode ierr;
2422 
2423   PetscFunctionBegin;
2424   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2425   if (!ts->numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Call TSAdjointSetCostGradients() first so that the number of cost functions can be determined.");
2426   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()");
2427 
2428   ierr                  = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2429   ierr                  = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2430   ts->costintegrand     = rf;
2431   ts->costintegrandctx  = ctx;
2432 
2433   ts->drdyfunction    = drdyf;
2434   ts->vecs_drdy       = drdy;
2435 
2436   ts->drdpfunction    = drdpf;
2437   ts->vecs_drdp       = drdp;
2438 
2439   PetscFunctionReturn(0);
2440 }
2441 
2442 #undef __FUNCT__
2443 #define __FUNCT__ "TSAdjointGetCostIntegral"
2444 /*@
2445    TSAdjointGetCostIntegral - Returns the values of the integral term in the cost functions.
2446    It is valid to call the routine after a backward run.
2447 
2448    Not Collective
2449 
2450    Input Parameter:
2451 .  ts - the TS context obtained from TSCreate()
2452 
2453    Output Parameter:
2454 .  v - the vector containing the integrals for each cost function
2455 
2456    Level: intermediate
2457 
2458 .seealso: TSAdjointSetCostIntegrand()
2459 
2460 .keywords: TS, sensitivity analysis
2461 @*/
2462 PetscErrorCode  TSAdjointGetCostIntegral(TS ts,Vec *v)
2463 {
2464   PetscFunctionBegin;
2465   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2466   PetscValidPointer(v,2);
2467   *v = ts->vec_costintegral;
2468   PetscFunctionReturn(0);
2469 }
2470 
2471 #undef __FUNCT__
2472 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2473 /*@
2474    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2475 
2476    Input Parameters:
2477 +  ts - the TS context
2478 .  t - current time
2479 -  y - state vector, i.e. current solution
2480 
2481    Output Parameter:
2482 .  q - vector of size numcost to hold the outputs
2483 
2484    Note:
2485    Most users should not need to explicitly call this routine, as it
2486    is used internally within the sensitivity analysis context.
2487 
2488    Level: developer
2489 
2490 .keywords: TS, compute
2491 
2492 .seealso: TSAdjointSetCostIntegrand()
2493 @*/
2494 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
2495 {
2496   PetscErrorCode ierr;
2497 
2498   PetscFunctionBegin;
2499   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2500   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2501   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2502 
2503   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2504   if (ts->costintegrand) {
2505     PetscStackPush("TS user integrand in the cost function");
2506     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
2507     PetscStackPop;
2508   } else {
2509     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2510   }
2511 
2512   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2513   PetscFunctionReturn(0);
2514 }
2515 
2516 #undef __FUNCT__
2517 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2518 /*@
2519   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2520 
2521   Collective on TS
2522 
2523   Input Parameters:
2524 . ts   - The TS context obtained from TSCreate()
2525 
2526   Notes:
2527   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2528   so most users would not generally call this routine themselves.
2529 
2530   Level: developer
2531 
2532 .keywords: TS, sensitivity
2533 .seealso: TSAdjointComputeDRDYFunction()
2534 @*/
2535 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
2536 {
2537   PetscErrorCode ierr;
2538 
2539   PetscFunctionBegin;
2540   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2541   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2542 
2543   PetscStackPush("TS user DRDY function for sensitivity analysis");
2544   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2545   PetscStackPop;
2546   PetscFunctionReturn(0);
2547 }
2548 
2549 #undef __FUNCT__
2550 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2551 /*@
2552   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2553 
2554   Collective on TS
2555 
2556   Input Parameters:
2557 . ts   - The TS context obtained from TSCreate()
2558 
2559   Notes:
2560   TSDRDPFunction() is typically used for sensitivity implementation,
2561   so most users would not generally call this routine themselves.
2562 
2563   Level: developer
2564 
2565 .keywords: TS, sensitivity
2566 .seealso: TSAdjointSetDRDPFunction()
2567 @*/
2568 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
2569 {
2570   PetscErrorCode ierr;
2571 
2572   PetscFunctionBegin;
2573   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2574   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2575 
2576   PetscStackPush("TS user DRDP function for sensitivity analysis");
2577   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2578   PetscStackPop;
2579   PetscFunctionReturn(0);
2580 }
2581 
2582 #undef __FUNCT__
2583 #define __FUNCT__ "TSSetPreStep"
2584 /*@C
2585   TSSetPreStep - Sets the general-purpose function
2586   called once at the beginning of each time step.
2587 
2588   Logically Collective on TS
2589 
2590   Input Parameters:
2591 + ts   - The TS context obtained from TSCreate()
2592 - func - The function
2593 
2594   Calling sequence of func:
2595 . func (TS ts);
2596 
2597   Level: intermediate
2598 
2599   Note:
2600   If a step is rejected, TSStep() will call this routine again before each attempt.
2601   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2602   size of the step being attempted can be obtained using TSGetTimeStep().
2603 
2604 .keywords: TS, timestep
2605 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2606 @*/
2607 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2608 {
2609   PetscFunctionBegin;
2610   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2611   ts->prestep = func;
2612   PetscFunctionReturn(0);
2613 }
2614 
2615 #undef __FUNCT__
2616 #define __FUNCT__ "TSPreStep"
2617 /*@
2618   TSPreStep - Runs the user-defined pre-step function.
2619 
2620   Collective on TS
2621 
2622   Input Parameters:
2623 . ts   - The TS context obtained from TSCreate()
2624 
2625   Notes:
2626   TSPreStep() is typically used within time stepping implementations,
2627   so most users would not generally call this routine themselves.
2628 
2629   Level: developer
2630 
2631 .keywords: TS, timestep
2632 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2633 @*/
2634 PetscErrorCode  TSPreStep(TS ts)
2635 {
2636   PetscErrorCode ierr;
2637 
2638   PetscFunctionBegin;
2639   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2640   if (ts->prestep) {
2641     PetscStackCallStandard((*ts->prestep),(ts));
2642   }
2643   PetscFunctionReturn(0);
2644 }
2645 
2646 #undef __FUNCT__
2647 #define __FUNCT__ "TSSetPreStage"
2648 /*@C
2649   TSSetPreStage - Sets the general-purpose function
2650   called once at the beginning of each stage.
2651 
2652   Logically Collective on TS
2653 
2654   Input Parameters:
2655 + ts   - The TS context obtained from TSCreate()
2656 - func - The function
2657 
2658   Calling sequence of func:
2659 . PetscErrorCode func(TS ts, PetscReal stagetime);
2660 
2661   Level: intermediate
2662 
2663   Note:
2664   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2665   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2666   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2667 
2668 .keywords: TS, timestep
2669 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2670 @*/
2671 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2672 {
2673   PetscFunctionBegin;
2674   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2675   ts->prestage = func;
2676   PetscFunctionReturn(0);
2677 }
2678 
2679 #undef __FUNCT__
2680 #define __FUNCT__ "TSSetPostStage"
2681 /*@C
2682   TSSetPostStage - Sets the general-purpose function
2683   called once at the end of each stage.
2684 
2685   Logically Collective on TS
2686 
2687   Input Parameters:
2688 + ts   - The TS context obtained from TSCreate()
2689 - func - The function
2690 
2691   Calling sequence of func:
2692 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2693 
2694   Level: intermediate
2695 
2696   Note:
2697   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2698   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2699   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2700 
2701 .keywords: TS, timestep
2702 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2703 @*/
2704 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2705 {
2706   PetscFunctionBegin;
2707   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2708   ts->poststage = func;
2709   PetscFunctionReturn(0);
2710 }
2711 
2712 #undef __FUNCT__
2713 #define __FUNCT__ "TSPreStage"
2714 /*@
2715   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2716 
2717   Collective on TS
2718 
2719   Input Parameters:
2720 . ts          - The TS context obtained from TSCreate()
2721   stagetime   - The absolute time of the current stage
2722 
2723   Notes:
2724   TSPreStage() is typically used within time stepping implementations,
2725   most users would not generally call this routine themselves.
2726 
2727   Level: developer
2728 
2729 .keywords: TS, timestep
2730 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2731 @*/
2732 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2733 {
2734   PetscErrorCode ierr;
2735 
2736   PetscFunctionBegin;
2737   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2738   if (ts->prestage) {
2739     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2740   }
2741   PetscFunctionReturn(0);
2742 }
2743 
2744 #undef __FUNCT__
2745 #define __FUNCT__ "TSPostStage"
2746 /*@
2747   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2748 
2749   Collective on TS
2750 
2751   Input Parameters:
2752 . ts          - The TS context obtained from TSCreate()
2753   stagetime   - The absolute time of the current stage
2754   stageindex  - Stage number
2755   Y           - Array of vectors (of size = total number
2756                 of stages) with the stage solutions
2757 
2758   Notes:
2759   TSPostStage() is typically used within time stepping implementations,
2760   most users would not generally call this routine themselves.
2761 
2762   Level: developer
2763 
2764 .keywords: TS, timestep
2765 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2766 @*/
2767 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2768 {
2769   PetscErrorCode ierr;
2770 
2771   PetscFunctionBegin;
2772   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2773   if (ts->poststage) {
2774     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2775   }
2776   PetscFunctionReturn(0);
2777 }
2778 
2779 #undef __FUNCT__
2780 #define __FUNCT__ "TSSetPostStep"
2781 /*@C
2782   TSSetPostStep - Sets the general-purpose function
2783   called once at the end of each time step.
2784 
2785   Logically Collective on TS
2786 
2787   Input Parameters:
2788 + ts   - The TS context obtained from TSCreate()
2789 - func - The function
2790 
2791   Calling sequence of func:
2792 $ func (TS ts);
2793 
2794   Level: intermediate
2795 
2796 .keywords: TS, timestep
2797 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2798 @*/
2799 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2800 {
2801   PetscFunctionBegin;
2802   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2803   ts->poststep = func;
2804   PetscFunctionReturn(0);
2805 }
2806 
2807 #undef __FUNCT__
2808 #define __FUNCT__ "TSPostStep"
2809 /*@
2810   TSPostStep - Runs the user-defined post-step function.
2811 
2812   Collective on TS
2813 
2814   Input Parameters:
2815 . ts   - The TS context obtained from TSCreate()
2816 
2817   Notes:
2818   TSPostStep() is typically used within time stepping implementations,
2819   so most users would not generally call this routine themselves.
2820 
2821   Level: developer
2822 
2823 .keywords: TS, timestep
2824 @*/
2825 PetscErrorCode  TSPostStep(TS ts)
2826 {
2827   PetscErrorCode ierr;
2828 
2829   PetscFunctionBegin;
2830   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2831   if (ts->poststep) {
2832     PetscStackCallStandard((*ts->poststep),(ts));
2833   }
2834   PetscFunctionReturn(0);
2835 }
2836 
2837 /* ------------ Routines to set performance monitoring options ----------- */
2838 
2839 #undef __FUNCT__
2840 #define __FUNCT__ "TSMonitorSet"
2841 /*@C
2842    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2843    timestep to display the iteration's  progress.
2844 
2845    Logically Collective on TS
2846 
2847    Input Parameters:
2848 +  ts - the TS context obtained from TSCreate()
2849 .  monitor - monitoring routine
2850 .  mctx - [optional] user-defined context for private data for the
2851              monitor routine (use NULL if no context is desired)
2852 -  monitordestroy - [optional] routine that frees monitor context
2853           (may be NULL)
2854 
2855    Calling sequence of monitor:
2856 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2857 
2858 +    ts - the TS context
2859 .    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
2860                                been interpolated to)
2861 .    time - current time
2862 .    u - current iterate
2863 -    mctx - [optional] monitoring context
2864 
2865    Notes:
2866    This routine adds an additional monitor to the list of monitors that
2867    already has been loaded.
2868 
2869    Fortran notes: Only a single monitor function can be set for each TS object
2870 
2871    Level: intermediate
2872 
2873 .keywords: TS, timestep, set, monitor
2874 
2875 .seealso: TSMonitorDefault(), TSMonitorCancel()
2876 @*/
2877 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2878 {
2879   PetscFunctionBegin;
2880   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2881   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2882   ts->monitor[ts->numbermonitors]          = monitor;
2883   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2884   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2885   PetscFunctionReturn(0);
2886 }
2887 
2888 #undef __FUNCT__
2889 #define __FUNCT__ "TSMonitorCancel"
2890 /*@C
2891    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2892 
2893    Logically Collective on TS
2894 
2895    Input Parameters:
2896 .  ts - the TS context obtained from TSCreate()
2897 
2898    Notes:
2899    There is no way to remove a single, specific monitor.
2900 
2901    Level: intermediate
2902 
2903 .keywords: TS, timestep, set, monitor
2904 
2905 .seealso: TSMonitorDefault(), TSMonitorSet()
2906 @*/
2907 PetscErrorCode  TSMonitorCancel(TS ts)
2908 {
2909   PetscErrorCode ierr;
2910   PetscInt       i;
2911 
2912   PetscFunctionBegin;
2913   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2914   for (i=0; i<ts->numbermonitors; i++) {
2915     if (ts->monitordestroy[i]) {
2916       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2917     }
2918   }
2919   ts->numbermonitors = 0;
2920   PetscFunctionReturn(0);
2921 }
2922 
2923 #undef __FUNCT__
2924 #define __FUNCT__ "TSMonitorDefault"
2925 /*@
2926    TSMonitorDefault - Sets the Default monitor
2927 
2928    Level: intermediate
2929 
2930 .keywords: TS, set, monitor
2931 
2932 .seealso: TSMonitorDefault(), TSMonitorSet()
2933 @*/
2934 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2935 {
2936   PetscErrorCode ierr;
2937   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2938 
2939   PetscFunctionBegin;
2940   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2941   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2942   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2943   PetscFunctionReturn(0);
2944 }
2945 
2946 #undef __FUNCT__
2947 #define __FUNCT__ "TSSetRetainStages"
2948 /*@
2949    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2950 
2951    Logically Collective on TS
2952 
2953    Input Argument:
2954 .  ts - time stepping context
2955 
2956    Output Argument:
2957 .  flg - PETSC_TRUE or PETSC_FALSE
2958 
2959    Level: intermediate
2960 
2961 .keywords: TS, set
2962 
2963 .seealso: TSInterpolate(), TSSetPostStep()
2964 @*/
2965 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2966 {
2967   PetscFunctionBegin;
2968   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2969   ts->retain_stages = flg;
2970   PetscFunctionReturn(0);
2971 }
2972 
2973 #undef __FUNCT__
2974 #define __FUNCT__ "TSInterpolate"
2975 /*@
2976    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2977 
2978    Collective on TS
2979 
2980    Input Argument:
2981 +  ts - time stepping context
2982 -  t - time to interpolate to
2983 
2984    Output Argument:
2985 .  U - state at given time
2986 
2987    Notes:
2988    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2989 
2990    Level: intermediate
2991 
2992    Developer Notes:
2993    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2994 
2995 .keywords: TS, set
2996 
2997 .seealso: TSSetRetainStages(), TSSetPostStep()
2998 @*/
2999 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3000 {
3001   PetscErrorCode ierr;
3002 
3003   PetscFunctionBegin;
3004   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3005   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3006   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);
3007   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3008   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3009   PetscFunctionReturn(0);
3010 }
3011 
3012 #undef __FUNCT__
3013 #define __FUNCT__ "TSStep"
3014 /*@
3015    TSStep - Steps one time step
3016 
3017    Collective on TS
3018 
3019    Input Parameter:
3020 .  ts - the TS context obtained from TSCreate()
3021 
3022    Level: developer
3023 
3024    Notes:
3025    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3026 
3027    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3028    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3029 
3030    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3031    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3032 
3033 .keywords: TS, timestep, solve
3034 
3035 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3036 @*/
3037 PetscErrorCode  TSStep(TS ts)
3038 {
3039   DM               dm;
3040   PetscErrorCode   ierr;
3041   static PetscBool cite = PETSC_FALSE;
3042 
3043   PetscFunctionBegin;
3044   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3045   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3046                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3047                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3048                                 "  type        = {Preprint},\n"
3049                                 "  number      = {ANL/MCS-P5061-0114},\n"
3050                                 "  institution = {Argonne National Laboratory},\n"
3051                                 "  year        = {2014}\n}\n",&cite);
3052 
3053   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3054   ierr = TSSetUp(ts);CHKERRQ(ierr);
3055 
3056   ts->reason = TS_CONVERGED_ITERATING;
3057   ts->ptime_prev = ts->ptime;
3058   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3059 
3060   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3061   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3062   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3063   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3064 
3065   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3066   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3067 
3068   if (ts->reason < 0) {
3069     if (ts->errorifstepfailed) {
3070       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]);
3071       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3072     }
3073   } else if (!ts->reason) {
3074     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3075     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3076   }
3077   ts->total_steps++;
3078   PetscFunctionReturn(0);
3079 }
3080 
3081 #undef __FUNCT__
3082 #define __FUNCT__ "TSAdjointStep"
3083 /*@
3084    TSAdjointStep - Steps one time step
3085 
3086    Collective on TS
3087 
3088    Input Parameter:
3089 .  ts - the TS context obtained from TSCreate()
3090 
3091    Level: intermediate
3092 
3093    Notes:
3094    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3095    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3096 
3097    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3098    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3099 
3100 .keywords: TS, timestep, solve
3101 
3102 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3103 @*/
3104 PetscErrorCode  TSAdjointStep(TS ts)
3105 {
3106   DM               dm;
3107   PetscErrorCode   ierr;
3108 
3109   PetscFunctionBegin;
3110   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3111   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3112   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3113 
3114   ts->reason = TS_CONVERGED_ITERATING;
3115   ts->ptime_prev = ts->ptime;
3116   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3117   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3118 
3119   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3120   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);
3121   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3122   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3123 
3124   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3125   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3126 
3127   if (ts->reason < 0) {
3128     if (ts->errorifstepfailed) {
3129       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3130         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]);
3131       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3132         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]);
3133       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3134     }
3135   } else if (!ts->reason) {
3136     if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3137     else if (ts->ptime >= ts->max_time)         ts->reason = TS_CONVERGED_TIME;
3138   }
3139   ts->total_steps--;
3140   PetscFunctionReturn(0);
3141 }
3142 
3143 #undef __FUNCT__
3144 #define __FUNCT__ "TSEvaluateStep"
3145 /*@
3146    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3147 
3148    Collective on TS
3149 
3150    Input Arguments:
3151 +  ts - time stepping context
3152 .  order - desired order of accuracy
3153 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3154 
3155    Output Arguments:
3156 .  U - state at the end of the current step
3157 
3158    Level: advanced
3159 
3160    Notes:
3161    This function cannot be called until all stages have been evaluated.
3162    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.
3163 
3164 .seealso: TSStep(), TSAdapt
3165 @*/
3166 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3167 {
3168   PetscErrorCode ierr;
3169 
3170   PetscFunctionBegin;
3171   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3172   PetscValidType(ts,1);
3173   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3174   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3175   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3176   PetscFunctionReturn(0);
3177 }
3178 
3179 
3180 #undef __FUNCT__
3181 #define __FUNCT__ "TSSolve"
3182 /*@
3183    TSSolve - Steps the requested number of timesteps.
3184 
3185    Collective on TS
3186 
3187    Input Parameter:
3188 +  ts - the TS context obtained from TSCreate()
3189 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3190 
3191    Level: beginner
3192 
3193    Notes:
3194    The final time returned by this function may be different from the time of the internally
3195    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3196    stepped over the final time.
3197 
3198 .keywords: TS, timestep, solve
3199 
3200 .seealso: TSCreate(), TSSetSolution(), TSStep()
3201 @*/
3202 PetscErrorCode TSSolve(TS ts,Vec u)
3203 {
3204   Vec               solution;
3205   PetscErrorCode    ierr;
3206 
3207   PetscFunctionBegin;
3208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3209   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3210   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 */
3211     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3212     if (!ts->vec_sol || u == ts->vec_sol) {
3213       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3214       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3215       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3216     }
3217     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3218   } else if (u) {
3219     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3220   }
3221   ierr = TSSetUp(ts);CHKERRQ(ierr); /*compute adj coefficients if the reverse mode is on*/
3222   /* reset time step and iteration counters */
3223   ts->steps             = 0;
3224   ts->ksp_its           = 0;
3225   ts->snes_its          = 0;
3226   ts->num_snes_failures = 0;
3227   ts->reject            = 0;
3228   ts->reason            = TS_CONVERGED_ITERATING;
3229 
3230   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3231 
3232   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3233     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3234     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3235     ts->solvetime = ts->ptime;
3236   } else {
3237     /* steps the requested number of timesteps. */
3238     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3239     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3240     while (!ts->reason) {
3241       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3242       ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3243       ierr = TSStep(ts);CHKERRQ(ierr);
3244       if (ts->event) {
3245 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3246 	if (ts->event->status != TSEVENT_PROCESSING) {
3247 	  ierr = TSPostStep(ts);CHKERRQ(ierr);
3248 	}
3249       } else {
3250 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3251       }
3252     }
3253     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3254       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3255       ts->solvetime = ts->max_time;
3256       solution = u;
3257     } else {
3258       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3259       ts->solvetime = ts->ptime;
3260       solution = ts->vec_sol;
3261     }
3262     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3263     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3264     ierr = VecViewFromOptions(solution, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3265   }
3266 
3267   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3268   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3269   PetscFunctionReturn(0);
3270 }
3271 
3272 #undef __FUNCT__
3273 #define __FUNCT__ "TSAdjointSolve"
3274 /*@
3275    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3276 
3277    Collective on TS
3278 
3279    Input Parameter:
3280 .  ts - the TS context obtained from TSCreate()
3281 
3282    Level: intermediate
3283 
3284    Notes:
3285    This must be called after a call to TSSolve() that solves the forward problem
3286 
3287    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3288 
3289 .keywords: TS, timestep, solve
3290 
3291 .seealso: TSCreate(), TSSetSolution(), TSStep()
3292 @*/
3293 PetscErrorCode TSAdjointSolve(TS ts)
3294 {
3295   PetscErrorCode    ierr;
3296 
3297   PetscFunctionBegin;
3298   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3299   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3300   /* reset time step and iteration counters */
3301   ts->steps             = 0;
3302   ts->ksp_its           = 0;
3303   ts->snes_its          = 0;
3304   ts->num_snes_failures = 0;
3305   ts->reject            = 0;
3306   ts->reason            = TS_CONVERGED_ITERATING;
3307 
3308   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3309 
3310   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3311   while (!ts->reason) {
3312     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->adjoint_max_steps-ts->steps,ts->ptime);CHKERRQ(ierr);
3313     ierr = TSMonitor(ts,ts->adjoint_max_steps-ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3314     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3315     if (ts->event) {
3316       ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3317       if (ts->event->status != TSEVENT_PROCESSING) {
3318         ierr = TSPostStep(ts);CHKERRQ(ierr);
3319       }
3320     } else {
3321       ierr = TSPostStep(ts);CHKERRQ(ierr);
3322     }
3323   }
3324   ts->solvetime = ts->ptime;
3325   PetscFunctionReturn(0);
3326 }
3327 
3328 #undef __FUNCT__
3329 #define __FUNCT__ "TSMonitor"
3330 /*@
3331    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3332 
3333    Collective on TS
3334 
3335    Input Parameters:
3336 +  ts - time stepping context obtained from TSCreate()
3337 .  step - step number that has just completed
3338 .  ptime - model time of the state
3339 -  u - state at the current model time
3340 
3341    Notes:
3342    TSMonitor() is typically used within the time stepping implementations.
3343    Users might call this function when using the TSStep() interface instead of TSSolve().
3344 
3345    Level: advanced
3346 
3347 .keywords: TS, timestep
3348 @*/
3349 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3350 {
3351   PetscErrorCode ierr;
3352   PetscInt       i,n = ts->numbermonitors;
3353 
3354   PetscFunctionBegin;
3355   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3356   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3357   ierr = VecLockPush(u);CHKERRQ(ierr);
3358   for (i=0; i<n; i++) {
3359     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3360   }
3361   ierr = VecLockPop(u);CHKERRQ(ierr);
3362   PetscFunctionReturn(0);
3363 }
3364 
3365 /* ------------------------------------------------------------------------*/
3366 #undef __FUNCT__
3367 #define __FUNCT__ "TSMonitorLGCtxCreate"
3368 /*@C
3369    TSMonitorLGCtxCreate - Creates a line graph context for use with
3370    TS to monitor the solution process graphically in various ways
3371 
3372    Collective on TS
3373 
3374    Input Parameters:
3375 +  host - the X display to open, or null for the local machine
3376 .  label - the title to put in the title bar
3377 .  x, y - the screen coordinates of the upper left coordinate of the window
3378 .  m, n - the screen width and height in pixels
3379 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3380 
3381    Output Parameter:
3382 .  ctx - the context
3383 
3384    Options Database Key:
3385 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3386 .  -ts_monitor_lg_solution -
3387 .  -ts_monitor_lg_error -
3388 .  -ts_monitor_lg_ksp_iterations -
3389 .  -ts_monitor_lg_snes_iterations -
3390 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
3391 
3392    Notes:
3393    Use TSMonitorLGCtxDestroy() to destroy.
3394 
3395    Level: intermediate
3396 
3397 .keywords: TS, monitor, line graph, residual, seealso
3398 
3399 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3400 
3401 @*/
3402 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3403 {
3404   PetscDraw      win;
3405   PetscErrorCode ierr;
3406 
3407   PetscFunctionBegin;
3408   ierr = PetscNew(ctx);CHKERRQ(ierr);
3409   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3410   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3411   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3412   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3413   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3414   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3415   (*ctx)->howoften = howoften;
3416   PetscFunctionReturn(0);
3417 }
3418 
3419 #undef __FUNCT__
3420 #define __FUNCT__ "TSMonitorLGTimeStep"
3421 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3422 {
3423   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3424   PetscReal      x   = ptime,y;
3425   PetscErrorCode ierr;
3426 
3427   PetscFunctionBegin;
3428   if (!step) {
3429     PetscDrawAxis axis;
3430     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3431     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3432     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3433     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
3434   }
3435   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3436   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3437   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3438     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3439   }
3440   PetscFunctionReturn(0);
3441 }
3442 
3443 #undef __FUNCT__
3444 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3445 /*@C
3446    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3447    with TSMonitorLGCtxCreate().
3448 
3449    Collective on TSMonitorLGCtx
3450 
3451    Input Parameter:
3452 .  ctx - the monitor context
3453 
3454    Level: intermediate
3455 
3456 .keywords: TS, monitor, line graph, destroy
3457 
3458 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3459 @*/
3460 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3461 {
3462   PetscDraw      draw;
3463   PetscErrorCode ierr;
3464 
3465   PetscFunctionBegin;
3466   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3467   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3468   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3469   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3470   PetscFunctionReturn(0);
3471 }
3472 
3473 #undef __FUNCT__
3474 #define __FUNCT__ "TSGetTime"
3475 /*@
3476    TSGetTime - Gets the time of the most recently completed step.
3477 
3478    Not Collective
3479 
3480    Input Parameter:
3481 .  ts - the TS context obtained from TSCreate()
3482 
3483    Output Parameter:
3484 .  t  - the current time
3485 
3486    Level: beginner
3487 
3488    Note:
3489    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3490    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3491 
3492 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3493 
3494 .keywords: TS, get, time
3495 @*/
3496 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3497 {
3498   PetscFunctionBegin;
3499   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3500   PetscValidRealPointer(t,2);
3501   *t = ts->ptime;
3502   PetscFunctionReturn(0);
3503 }
3504 
3505 #undef __FUNCT__
3506 #define __FUNCT__ "TSGetPrevTime"
3507 /*@
3508    TSGetPrevTime - Gets the starting time of the previously completed step.
3509 
3510    Not Collective
3511 
3512    Input Parameter:
3513 .  ts - the TS context obtained from TSCreate()
3514 
3515    Output Parameter:
3516 .  t  - the previous time
3517 
3518    Level: beginner
3519 
3520 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3521 
3522 .keywords: TS, get, time
3523 @*/
3524 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3525 {
3526   PetscFunctionBegin;
3527   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3528   PetscValidRealPointer(t,2);
3529   *t = ts->ptime_prev;
3530   PetscFunctionReturn(0);
3531 }
3532 
3533 #undef __FUNCT__
3534 #define __FUNCT__ "TSSetTime"
3535 /*@
3536    TSSetTime - Allows one to reset the time.
3537 
3538    Logically Collective on TS
3539 
3540    Input Parameters:
3541 +  ts - the TS context obtained from TSCreate()
3542 -  time - the time
3543 
3544    Level: intermediate
3545 
3546 .seealso: TSGetTime(), TSSetDuration()
3547 
3548 .keywords: TS, set, time
3549 @*/
3550 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3551 {
3552   PetscFunctionBegin;
3553   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3554   PetscValidLogicalCollectiveReal(ts,t,2);
3555   ts->ptime = t;
3556   PetscFunctionReturn(0);
3557 }
3558 
3559 #undef __FUNCT__
3560 #define __FUNCT__ "TSSetOptionsPrefix"
3561 /*@C
3562    TSSetOptionsPrefix - Sets the prefix used for searching for all
3563    TS options in the database.
3564 
3565    Logically Collective on TS
3566 
3567    Input Parameter:
3568 +  ts     - The TS context
3569 -  prefix - The prefix to prepend to all option names
3570 
3571    Notes:
3572    A hyphen (-) must NOT be given at the beginning of the prefix name.
3573    The first character of all runtime options is AUTOMATICALLY the
3574    hyphen.
3575 
3576    Level: advanced
3577 
3578 .keywords: TS, set, options, prefix, database
3579 
3580 .seealso: TSSetFromOptions()
3581 
3582 @*/
3583 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3584 {
3585   PetscErrorCode ierr;
3586   SNES           snes;
3587 
3588   PetscFunctionBegin;
3589   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3590   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3591   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3592   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3593   PetscFunctionReturn(0);
3594 }
3595 
3596 
3597 #undef __FUNCT__
3598 #define __FUNCT__ "TSAppendOptionsPrefix"
3599 /*@C
3600    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3601    TS options in the database.
3602 
3603    Logically Collective on TS
3604 
3605    Input Parameter:
3606 +  ts     - The TS context
3607 -  prefix - The prefix to prepend to all option names
3608 
3609    Notes:
3610    A hyphen (-) must NOT be given at the beginning of the prefix name.
3611    The first character of all runtime options is AUTOMATICALLY the
3612    hyphen.
3613 
3614    Level: advanced
3615 
3616 .keywords: TS, append, options, prefix, database
3617 
3618 .seealso: TSGetOptionsPrefix()
3619 
3620 @*/
3621 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3622 {
3623   PetscErrorCode ierr;
3624   SNES           snes;
3625 
3626   PetscFunctionBegin;
3627   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3628   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3629   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3630   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3631   PetscFunctionReturn(0);
3632 }
3633 
3634 #undef __FUNCT__
3635 #define __FUNCT__ "TSGetOptionsPrefix"
3636 /*@C
3637    TSGetOptionsPrefix - Sets the prefix used for searching for all
3638    TS options in the database.
3639 
3640    Not Collective
3641 
3642    Input Parameter:
3643 .  ts - The TS context
3644 
3645    Output Parameter:
3646 .  prefix - A pointer to the prefix string used
3647 
3648    Notes: On the fortran side, the user should pass in a string 'prifix' of
3649    sufficient length to hold the prefix.
3650 
3651    Level: intermediate
3652 
3653 .keywords: TS, get, options, prefix, database
3654 
3655 .seealso: TSAppendOptionsPrefix()
3656 @*/
3657 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3658 {
3659   PetscErrorCode ierr;
3660 
3661   PetscFunctionBegin;
3662   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3663   PetscValidPointer(prefix,2);
3664   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3665   PetscFunctionReturn(0);
3666 }
3667 
3668 #undef __FUNCT__
3669 #define __FUNCT__ "TSGetRHSJacobian"
3670 /*@C
3671    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3672 
3673    Not Collective, but parallel objects are returned if TS is parallel
3674 
3675    Input Parameter:
3676 .  ts  - The TS context obtained from TSCreate()
3677 
3678    Output Parameters:
3679 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3680 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3681 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3682 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3683 
3684    Notes: You can pass in NULL for any return argument you do not need.
3685 
3686    Level: intermediate
3687 
3688 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3689 
3690 .keywords: TS, timestep, get, matrix, Jacobian
3691 @*/
3692 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3693 {
3694   PetscErrorCode ierr;
3695   SNES           snes;
3696   DM             dm;
3697 
3698   PetscFunctionBegin;
3699   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3700   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3701   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3702   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3703   PetscFunctionReturn(0);
3704 }
3705 
3706 #undef __FUNCT__
3707 #define __FUNCT__ "TSGetIJacobian"
3708 /*@C
3709    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3710 
3711    Not Collective, but parallel objects are returned if TS is parallel
3712 
3713    Input Parameter:
3714 .  ts  - The TS context obtained from TSCreate()
3715 
3716    Output Parameters:
3717 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3718 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3719 .  f   - The function to compute the matrices
3720 - ctx - User-defined context for Jacobian evaluation routine
3721 
3722    Notes: You can pass in NULL for any return argument you do not need.
3723 
3724    Level: advanced
3725 
3726 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3727 
3728 .keywords: TS, timestep, get, matrix, Jacobian
3729 @*/
3730 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3731 {
3732   PetscErrorCode ierr;
3733   SNES           snes;
3734   DM             dm;
3735 
3736   PetscFunctionBegin;
3737   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3738   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3739   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3740   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3741   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3742   PetscFunctionReturn(0);
3743 }
3744 
3745 
3746 #undef __FUNCT__
3747 #define __FUNCT__ "TSMonitorDrawSolution"
3748 /*@C
3749    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3750    VecView() for the solution at each timestep
3751 
3752    Collective on TS
3753 
3754    Input Parameters:
3755 +  ts - the TS context
3756 .  step - current time-step
3757 .  ptime - current time
3758 -  dummy - either a viewer or NULL
3759 
3760    Options Database:
3761 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3762 
3763    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3764        will look bad
3765 
3766    Level: intermediate
3767 
3768 .keywords: TS,  vector, monitor, view
3769 
3770 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3771 @*/
3772 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3773 {
3774   PetscErrorCode   ierr;
3775   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3776   PetscDraw        draw;
3777 
3778   PetscFunctionBegin;
3779   if (!step && ictx->showinitial) {
3780     if (!ictx->initialsolution) {
3781       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3782     }
3783     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3784   }
3785   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3786 
3787   if (ictx->showinitial) {
3788     PetscReal pause;
3789     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3790     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3791     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3792     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3793     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3794   }
3795   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3796   if (ictx->showtimestepandtime) {
3797     PetscReal xl,yl,xr,yr,tw,w,h;
3798     char      time[32];
3799     size_t    len;
3800 
3801     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3802     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3803     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3804     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3805     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3806     w    = xl + .5*(xr - xl) - .5*len*tw;
3807     h    = yl + .95*(yr - yl);
3808     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3809     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3810   }
3811 
3812   if (ictx->showinitial) {
3813     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3814   }
3815   PetscFunctionReturn(0);
3816 }
3817 
3818 #undef __FUNCT__
3819 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3820 /*@C
3821    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3822 
3823    Collective on TS
3824 
3825    Input Parameters:
3826 +  ts - the TS context
3827 .  step - current time-step
3828 .  ptime - current time
3829 -  dummy - either a viewer or NULL
3830 
3831    Level: intermediate
3832 
3833 .keywords: TS,  vector, monitor, view
3834 
3835 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3836 @*/
3837 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3838 {
3839   PetscErrorCode    ierr;
3840   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3841   PetscDraw         draw;
3842   MPI_Comm          comm;
3843   PetscInt          n;
3844   PetscMPIInt       size;
3845   PetscReal         xl,yl,xr,yr,tw,w,h;
3846   char              time[32];
3847   size_t            len;
3848   const PetscScalar *U;
3849 
3850   PetscFunctionBegin;
3851   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3852   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3853   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3854   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3855   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3856 
3857   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3858 
3859   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3860   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3861   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3862       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3863       PetscFunctionReturn(0);
3864   }
3865   if (!step) ictx->color++;
3866   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3867   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3868 
3869   if (ictx->showtimestepandtime) {
3870     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3871     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3872     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3873     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3874     w    = xl + .5*(xr - xl) - .5*len*tw;
3875     h    = yl + .95*(yr - yl);
3876     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3877   }
3878   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3879   PetscFunctionReturn(0);
3880 }
3881 
3882 
3883 #undef __FUNCT__
3884 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3885 /*@C
3886    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3887 
3888    Collective on TS
3889 
3890    Input Parameters:
3891 .    ctx - the monitor context
3892 
3893    Level: intermediate
3894 
3895 .keywords: TS,  vector, monitor, view
3896 
3897 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3898 @*/
3899 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3900 {
3901   PetscErrorCode ierr;
3902 
3903   PetscFunctionBegin;
3904   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3905   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3906   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3907   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3908   PetscFunctionReturn(0);
3909 }
3910 
3911 #undef __FUNCT__
3912 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3913 /*@C
3914    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3915 
3916    Collective on TS
3917 
3918    Input Parameter:
3919 .    ts - time-step context
3920 
3921    Output Patameter:
3922 .    ctx - the monitor context
3923 
3924    Options Database:
3925 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3926 
3927    Level: intermediate
3928 
3929 .keywords: TS,  vector, monitor, view
3930 
3931 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3932 @*/
3933 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3934 {
3935   PetscErrorCode   ierr;
3936 
3937   PetscFunctionBegin;
3938   ierr = PetscNew(ctx);CHKERRQ(ierr);
3939   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3940   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3941 
3942   (*ctx)->howoften    = howoften;
3943   (*ctx)->showinitial = PETSC_FALSE;
3944   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3945 
3946   (*ctx)->showtimestepandtime = PETSC_FALSE;
3947   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3948   (*ctx)->color = PETSC_DRAW_WHITE;
3949   PetscFunctionReturn(0);
3950 }
3951 
3952 #undef __FUNCT__
3953 #define __FUNCT__ "TSMonitorDrawError"
3954 /*@C
3955    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3956    VecView() for the error at each timestep
3957 
3958    Collective on TS
3959 
3960    Input Parameters:
3961 +  ts - the TS context
3962 .  step - current time-step
3963 .  ptime - current time
3964 -  dummy - either a viewer or NULL
3965 
3966    Level: intermediate
3967 
3968 .keywords: TS,  vector, monitor, view
3969 
3970 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3971 @*/
3972 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3973 {
3974   PetscErrorCode   ierr;
3975   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3976   PetscViewer      viewer = ctx->viewer;
3977   Vec              work;
3978 
3979   PetscFunctionBegin;
3980   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3981   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3982   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3983   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3984   ierr = VecView(work,viewer);CHKERRQ(ierr);
3985   ierr = VecDestroy(&work);CHKERRQ(ierr);
3986   PetscFunctionReturn(0);
3987 }
3988 
3989 #include <petsc-private/dmimpl.h>
3990 #undef __FUNCT__
3991 #define __FUNCT__ "TSSetDM"
3992 /*@
3993    TSSetDM - Sets the DM that may be used by some preconditioners
3994 
3995    Logically Collective on TS and DM
3996 
3997    Input Parameters:
3998 +  ts - the preconditioner context
3999 -  dm - the dm
4000 
4001    Level: intermediate
4002 
4003 
4004 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4005 @*/
4006 PetscErrorCode  TSSetDM(TS ts,DM dm)
4007 {
4008   PetscErrorCode ierr;
4009   SNES           snes;
4010   DMTS           tsdm;
4011 
4012   PetscFunctionBegin;
4013   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4014   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4015   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4016     if (ts->dm->dmts && !dm->dmts) {
4017       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4018       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4019       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4020         tsdm->originaldm = dm;
4021       }
4022     }
4023     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4024   }
4025   ts->dm = dm;
4026 
4027   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4028   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4029   PetscFunctionReturn(0);
4030 }
4031 
4032 #undef __FUNCT__
4033 #define __FUNCT__ "TSGetDM"
4034 /*@
4035    TSGetDM - Gets the DM that may be used by some preconditioners
4036 
4037    Not Collective
4038 
4039    Input Parameter:
4040 . ts - the preconditioner context
4041 
4042    Output Parameter:
4043 .  dm - the dm
4044 
4045    Level: intermediate
4046 
4047 
4048 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4049 @*/
4050 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4051 {
4052   PetscErrorCode ierr;
4053 
4054   PetscFunctionBegin;
4055   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4056   if (!ts->dm) {
4057     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4058     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4059   }
4060   *dm = ts->dm;
4061   PetscFunctionReturn(0);
4062 }
4063 
4064 #undef __FUNCT__
4065 #define __FUNCT__ "SNESTSFormFunction"
4066 /*@
4067    SNESTSFormFunction - Function to evaluate nonlinear residual
4068 
4069    Logically Collective on SNES
4070 
4071    Input Parameter:
4072 + snes - nonlinear solver
4073 . U - the current state at which to evaluate the residual
4074 - ctx - user context, must be a TS
4075 
4076    Output Parameter:
4077 . F - the nonlinear residual
4078 
4079    Notes:
4080    This function is not normally called by users and is automatically registered with the SNES used by TS.
4081    It is most frequently passed to MatFDColoringSetFunction().
4082 
4083    Level: advanced
4084 
4085 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4086 @*/
4087 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4088 {
4089   TS             ts = (TS)ctx;
4090   PetscErrorCode ierr;
4091 
4092   PetscFunctionBegin;
4093   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4094   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4095   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4096   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4097   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4098   PetscFunctionReturn(0);
4099 }
4100 
4101 #undef __FUNCT__
4102 #define __FUNCT__ "SNESTSFormJacobian"
4103 /*@
4104    SNESTSFormJacobian - Function to evaluate the Jacobian
4105 
4106    Collective on SNES
4107 
4108    Input Parameter:
4109 + snes - nonlinear solver
4110 . U - the current state at which to evaluate the residual
4111 - ctx - user context, must be a TS
4112 
4113    Output Parameter:
4114 + A - the Jacobian
4115 . B - the preconditioning matrix (may be the same as A)
4116 - flag - indicates any structure change in the matrix
4117 
4118    Notes:
4119    This function is not normally called by users and is automatically registered with the SNES used by TS.
4120 
4121    Level: developer
4122 
4123 .seealso: SNESSetJacobian()
4124 @*/
4125 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4126 {
4127   TS             ts = (TS)ctx;
4128   PetscErrorCode ierr;
4129 
4130   PetscFunctionBegin;
4131   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4132   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4133   PetscValidPointer(A,3);
4134   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4135   PetscValidPointer(B,4);
4136   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4137   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4138   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4139   PetscFunctionReturn(0);
4140 }
4141 
4142 #undef __FUNCT__
4143 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4144 /*@C
4145    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4146 
4147    Collective on TS
4148 
4149    Input Arguments:
4150 +  ts - time stepping context
4151 .  t - time at which to evaluate
4152 .  U - state at which to evaluate
4153 -  ctx - context
4154 
4155    Output Arguments:
4156 .  F - right hand side
4157 
4158    Level: intermediate
4159 
4160    Notes:
4161    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4162    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4163 
4164 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4165 @*/
4166 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4167 {
4168   PetscErrorCode ierr;
4169   Mat            Arhs,Brhs;
4170 
4171   PetscFunctionBegin;
4172   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4173   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4174   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4175   PetscFunctionReturn(0);
4176 }
4177 
4178 #undef __FUNCT__
4179 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4180 /*@C
4181    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4182 
4183    Collective on TS
4184 
4185    Input Arguments:
4186 +  ts - time stepping context
4187 .  t - time at which to evaluate
4188 .  U - state at which to evaluate
4189 -  ctx - context
4190 
4191    Output Arguments:
4192 +  A - pointer to operator
4193 .  B - pointer to preconditioning matrix
4194 -  flg - matrix structure flag
4195 
4196    Level: intermediate
4197 
4198    Notes:
4199    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4200 
4201 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4202 @*/
4203 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4204 {
4205   PetscFunctionBegin;
4206   PetscFunctionReturn(0);
4207 }
4208 
4209 #undef __FUNCT__
4210 #define __FUNCT__ "TSComputeIFunctionLinear"
4211 /*@C
4212    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4213 
4214    Collective on TS
4215 
4216    Input Arguments:
4217 +  ts - time stepping context
4218 .  t - time at which to evaluate
4219 .  U - state at which to evaluate
4220 .  Udot - time derivative of state vector
4221 -  ctx - context
4222 
4223    Output Arguments:
4224 .  F - left hand side
4225 
4226    Level: intermediate
4227 
4228    Notes:
4229    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
4230    user is required to write their own TSComputeIFunction.
4231    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4232    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4233 
4234 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4235 @*/
4236 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4237 {
4238   PetscErrorCode ierr;
4239   Mat            A,B;
4240 
4241   PetscFunctionBegin;
4242   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4243   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4244   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4245   PetscFunctionReturn(0);
4246 }
4247 
4248 #undef __FUNCT__
4249 #define __FUNCT__ "TSComputeIJacobianConstant"
4250 /*@C
4251    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4252 
4253    Collective on TS
4254 
4255    Input Arguments:
4256 +  ts - time stepping context
4257 .  t - time at which to evaluate
4258 .  U - state at which to evaluate
4259 .  Udot - time derivative of state vector
4260 .  shift - shift to apply
4261 -  ctx - context
4262 
4263    Output Arguments:
4264 +  A - pointer to operator
4265 .  B - pointer to preconditioning matrix
4266 -  flg - matrix structure flag
4267 
4268    Level: advanced
4269 
4270    Notes:
4271    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4272 
4273    It is only appropriate for problems of the form
4274 
4275 $     M Udot = F(U,t)
4276 
4277   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4278   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4279   an implicit operator of the form
4280 
4281 $    shift*M + J
4282 
4283   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
4284   a copy of M or reassemble it when requested.
4285 
4286 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4287 @*/
4288 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4289 {
4290   PetscErrorCode ierr;
4291 
4292   PetscFunctionBegin;
4293   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4294   ts->ijacobian.shift = shift;
4295   PetscFunctionReturn(0);
4296 }
4297 
4298 #undef __FUNCT__
4299 #define __FUNCT__ "TSGetEquationType"
4300 /*@
4301    TSGetEquationType - Gets the type of the equation that TS is solving.
4302 
4303    Not Collective
4304 
4305    Input Parameter:
4306 .  ts - the TS context
4307 
4308    Output Parameter:
4309 .  equation_type - see TSEquationType
4310 
4311    Level: beginner
4312 
4313 .keywords: TS, equation type
4314 
4315 .seealso: TSSetEquationType(), TSEquationType
4316 @*/
4317 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4318 {
4319   PetscFunctionBegin;
4320   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4321   PetscValidPointer(equation_type,2);
4322   *equation_type = ts->equation_type;
4323   PetscFunctionReturn(0);
4324 }
4325 
4326 #undef __FUNCT__
4327 #define __FUNCT__ "TSSetEquationType"
4328 /*@
4329    TSSetEquationType - Sets the type of the equation that TS is solving.
4330 
4331    Not Collective
4332 
4333    Input Parameter:
4334 +  ts - the TS context
4335 .  equation_type - see TSEquationType
4336 
4337    Level: advanced
4338 
4339 .keywords: TS, equation type
4340 
4341 .seealso: TSGetEquationType(), TSEquationType
4342 @*/
4343 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4344 {
4345   PetscFunctionBegin;
4346   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4347   ts->equation_type = equation_type;
4348   PetscFunctionReturn(0);
4349 }
4350 
4351 #undef __FUNCT__
4352 #define __FUNCT__ "TSGetConvergedReason"
4353 /*@
4354    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4355 
4356    Not Collective
4357 
4358    Input Parameter:
4359 .  ts - the TS context
4360 
4361    Output Parameter:
4362 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4363             manual pages for the individual convergence tests for complete lists
4364 
4365    Level: beginner
4366 
4367    Notes:
4368    Can only be called after the call to TSSolve() is complete.
4369 
4370 .keywords: TS, nonlinear, set, convergence, test
4371 
4372 .seealso: TSSetConvergenceTest(), TSConvergedReason
4373 @*/
4374 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4375 {
4376   PetscFunctionBegin;
4377   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4378   PetscValidPointer(reason,2);
4379   *reason = ts->reason;
4380   PetscFunctionReturn(0);
4381 }
4382 
4383 #undef __FUNCT__
4384 #define __FUNCT__ "TSSetConvergedReason"
4385 /*@
4386    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4387 
4388    Not Collective
4389 
4390    Input Parameter:
4391 +  ts - the TS context
4392 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4393             manual pages for the individual convergence tests for complete lists
4394 
4395    Level: advanced
4396 
4397    Notes:
4398    Can only be called during TSSolve() is active.
4399 
4400 .keywords: TS, nonlinear, set, convergence, test
4401 
4402 .seealso: TSConvergedReason
4403 @*/
4404 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4405 {
4406   PetscFunctionBegin;
4407   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4408   ts->reason = reason;
4409   PetscFunctionReturn(0);
4410 }
4411 
4412 #undef __FUNCT__
4413 #define __FUNCT__ "TSGetSolveTime"
4414 /*@
4415    TSGetSolveTime - Gets the time after a call to TSSolve()
4416 
4417    Not Collective
4418 
4419    Input Parameter:
4420 .  ts - the TS context
4421 
4422    Output Parameter:
4423 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4424 
4425    Level: beginner
4426 
4427    Notes:
4428    Can only be called after the call to TSSolve() is complete.
4429 
4430 .keywords: TS, nonlinear, set, convergence, test
4431 
4432 .seealso: TSSetConvergenceTest(), TSConvergedReason
4433 @*/
4434 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4435 {
4436   PetscFunctionBegin;
4437   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4438   PetscValidPointer(ftime,2);
4439   *ftime = ts->solvetime;
4440   PetscFunctionReturn(0);
4441 }
4442 
4443 #undef __FUNCT__
4444 #define __FUNCT__ "TSGetTotalSteps"
4445 /*@
4446    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4447 
4448    Not Collective
4449 
4450    Input Parameter:
4451 .  ts - the TS context
4452 
4453    Output Parameter:
4454 .  steps - the number of steps
4455 
4456    Level: beginner
4457 
4458    Notes:
4459    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4460 
4461 .keywords: TS, nonlinear, set, convergence, test
4462 
4463 .seealso: TSSetConvergenceTest(), TSConvergedReason
4464 @*/
4465 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4466 {
4467   PetscFunctionBegin;
4468   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4469   PetscValidPointer(steps,2);
4470   *steps = ts->total_steps;
4471   PetscFunctionReturn(0);
4472 }
4473 
4474 #undef __FUNCT__
4475 #define __FUNCT__ "TSGetSNESIterations"
4476 /*@
4477    TSGetSNESIterations - Gets the total number of nonlinear iterations
4478    used by the time integrator.
4479 
4480    Not Collective
4481 
4482    Input Parameter:
4483 .  ts - TS context
4484 
4485    Output Parameter:
4486 .  nits - number of nonlinear iterations
4487 
4488    Notes:
4489    This counter is reset to zero for each successive call to TSSolve().
4490 
4491    Level: intermediate
4492 
4493 .keywords: TS, get, number, nonlinear, iterations
4494 
4495 .seealso:  TSGetKSPIterations()
4496 @*/
4497 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4498 {
4499   PetscFunctionBegin;
4500   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4501   PetscValidIntPointer(nits,2);
4502   *nits = ts->snes_its;
4503   PetscFunctionReturn(0);
4504 }
4505 
4506 #undef __FUNCT__
4507 #define __FUNCT__ "TSGetKSPIterations"
4508 /*@
4509    TSGetKSPIterations - Gets the total number of linear iterations
4510    used by the time integrator.
4511 
4512    Not Collective
4513 
4514    Input Parameter:
4515 .  ts - TS context
4516 
4517    Output Parameter:
4518 .  lits - number of linear iterations
4519 
4520    Notes:
4521    This counter is reset to zero for each successive call to TSSolve().
4522 
4523    Level: intermediate
4524 
4525 .keywords: TS, get, number, linear, iterations
4526 
4527 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4528 @*/
4529 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4530 {
4531   PetscFunctionBegin;
4532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4533   PetscValidIntPointer(lits,2);
4534   *lits = ts->ksp_its;
4535   PetscFunctionReturn(0);
4536 }
4537 
4538 #undef __FUNCT__
4539 #define __FUNCT__ "TSGetStepRejections"
4540 /*@
4541    TSGetStepRejections - Gets the total number of rejected steps.
4542 
4543    Not Collective
4544 
4545    Input Parameter:
4546 .  ts - TS context
4547 
4548    Output Parameter:
4549 .  rejects - number of steps rejected
4550 
4551    Notes:
4552    This counter is reset to zero for each successive call to TSSolve().
4553 
4554    Level: intermediate
4555 
4556 .keywords: TS, get, number
4557 
4558 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4559 @*/
4560 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4561 {
4562   PetscFunctionBegin;
4563   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4564   PetscValidIntPointer(rejects,2);
4565   *rejects = ts->reject;
4566   PetscFunctionReturn(0);
4567 }
4568 
4569 #undef __FUNCT__
4570 #define __FUNCT__ "TSGetSNESFailures"
4571 /*@
4572    TSGetSNESFailures - Gets the total number of failed SNES solves
4573 
4574    Not Collective
4575 
4576    Input Parameter:
4577 .  ts - TS context
4578 
4579    Output Parameter:
4580 .  fails - number of failed nonlinear solves
4581 
4582    Notes:
4583    This counter is reset to zero for each successive call to TSSolve().
4584 
4585    Level: intermediate
4586 
4587 .keywords: TS, get, number
4588 
4589 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4590 @*/
4591 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4592 {
4593   PetscFunctionBegin;
4594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4595   PetscValidIntPointer(fails,2);
4596   *fails = ts->num_snes_failures;
4597   PetscFunctionReturn(0);
4598 }
4599 
4600 #undef __FUNCT__
4601 #define __FUNCT__ "TSSetMaxStepRejections"
4602 /*@
4603    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4604 
4605    Not Collective
4606 
4607    Input Parameter:
4608 +  ts - TS context
4609 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4610 
4611    Notes:
4612    The counter is reset to zero for each step
4613 
4614    Options Database Key:
4615  .  -ts_max_reject - Maximum number of step rejections before a step fails
4616 
4617    Level: intermediate
4618 
4619 .keywords: TS, set, maximum, number
4620 
4621 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4622 @*/
4623 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4624 {
4625   PetscFunctionBegin;
4626   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4627   ts->max_reject = rejects;
4628   PetscFunctionReturn(0);
4629 }
4630 
4631 #undef __FUNCT__
4632 #define __FUNCT__ "TSSetMaxSNESFailures"
4633 /*@
4634    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4635 
4636    Not Collective
4637 
4638    Input Parameter:
4639 +  ts - TS context
4640 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4641 
4642    Notes:
4643    The counter is reset to zero for each successive call to TSSolve().
4644 
4645    Options Database Key:
4646  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4647 
4648    Level: intermediate
4649 
4650 .keywords: TS, set, maximum, number
4651 
4652 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4653 @*/
4654 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4655 {
4656   PetscFunctionBegin;
4657   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4658   ts->max_snes_failures = fails;
4659   PetscFunctionReturn(0);
4660 }
4661 
4662 #undef __FUNCT__
4663 #define __FUNCT__ "TSSetErrorIfStepFails"
4664 /*@
4665    TSSetErrorIfStepFails - Error if no step succeeds
4666 
4667    Not Collective
4668 
4669    Input Parameter:
4670 +  ts - TS context
4671 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4672 
4673    Options Database Key:
4674  .  -ts_error_if_step_fails - Error if no step succeeds
4675 
4676    Level: intermediate
4677 
4678 .keywords: TS, set, error
4679 
4680 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4681 @*/
4682 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4683 {
4684   PetscFunctionBegin;
4685   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4686   ts->errorifstepfailed = err;
4687   PetscFunctionReturn(0);
4688 }
4689 
4690 #undef __FUNCT__
4691 #define __FUNCT__ "TSMonitorSolutionBinary"
4692 /*@C
4693    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4694 
4695    Collective on TS
4696 
4697    Input Parameters:
4698 +  ts - the TS context
4699 .  step - current time-step
4700 .  ptime - current time
4701 .  u - current state
4702 -  viewer - binary viewer
4703 
4704    Level: intermediate
4705 
4706 .keywords: TS,  vector, monitor, view
4707 
4708 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4709 @*/
4710 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4711 {
4712   PetscErrorCode ierr;
4713   PetscViewer    v = (PetscViewer)viewer;
4714 
4715   PetscFunctionBegin;
4716   ierr = VecView(u,v);CHKERRQ(ierr);
4717   PetscFunctionReturn(0);
4718 }
4719 
4720 #undef __FUNCT__
4721 #define __FUNCT__ "TSMonitorSolutionVTK"
4722 /*@C
4723    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4724 
4725    Collective on TS
4726 
4727    Input Parameters:
4728 +  ts - the TS context
4729 .  step - current time-step
4730 .  ptime - current time
4731 .  u - current state
4732 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4733 
4734    Level: intermediate
4735 
4736    Notes:
4737    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.
4738    These are named according to the file name template.
4739 
4740    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4741 
4742 .keywords: TS,  vector, monitor, view
4743 
4744 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4745 @*/
4746 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4747 {
4748   PetscErrorCode ierr;
4749   char           filename[PETSC_MAX_PATH_LEN];
4750   PetscViewer    viewer;
4751 
4752   PetscFunctionBegin;
4753   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4754   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4755   ierr = VecView(u,viewer);CHKERRQ(ierr);
4756   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4757   PetscFunctionReturn(0);
4758 }
4759 
4760 #undef __FUNCT__
4761 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4762 /*@C
4763    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4764 
4765    Collective on TS
4766 
4767    Input Parameters:
4768 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4769 
4770    Level: intermediate
4771 
4772    Note:
4773    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4774 
4775 .keywords: TS,  vector, monitor, view
4776 
4777 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4778 @*/
4779 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4780 {
4781   PetscErrorCode ierr;
4782 
4783   PetscFunctionBegin;
4784   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4785   PetscFunctionReturn(0);
4786 }
4787 
4788 #undef __FUNCT__
4789 #define __FUNCT__ "TSGetAdapt"
4790 /*@
4791    TSGetAdapt - Get the adaptive controller context for the current method
4792 
4793    Collective on TS if controller has not been created yet
4794 
4795    Input Arguments:
4796 .  ts - time stepping context
4797 
4798    Output Arguments:
4799 .  adapt - adaptive controller
4800 
4801    Level: intermediate
4802 
4803 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4804 @*/
4805 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4806 {
4807   PetscErrorCode ierr;
4808 
4809   PetscFunctionBegin;
4810   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4811   PetscValidPointer(adapt,2);
4812   if (!ts->adapt) {
4813     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4814     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4815     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4816   }
4817   *adapt = ts->adapt;
4818   PetscFunctionReturn(0);
4819 }
4820 
4821 #undef __FUNCT__
4822 #define __FUNCT__ "TSSetTolerances"
4823 /*@
4824    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4825 
4826    Logically Collective
4827 
4828    Input Arguments:
4829 +  ts - time integration context
4830 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4831 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4832 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4833 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4834 
4835    Options Database keys:
4836 +  -ts_rtol <rtol> - relative tolerance for local truncation error
4837 -  -ts_atol <atol> Absolute tolerance for local truncation error
4838 
4839    Level: beginner
4840 
4841 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4842 @*/
4843 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4844 {
4845   PetscErrorCode ierr;
4846 
4847   PetscFunctionBegin;
4848   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4849   if (vatol) {
4850     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4851     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4852 
4853     ts->vatol = vatol;
4854   }
4855   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4856   if (vrtol) {
4857     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4858     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4859 
4860     ts->vrtol = vrtol;
4861   }
4862   PetscFunctionReturn(0);
4863 }
4864 
4865 #undef __FUNCT__
4866 #define __FUNCT__ "TSGetTolerances"
4867 /*@
4868    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4869 
4870    Logically Collective
4871 
4872    Input Arguments:
4873 .  ts - time integration context
4874 
4875    Output Arguments:
4876 +  atol - scalar absolute tolerances, NULL to ignore
4877 .  vatol - vector of absolute tolerances, NULL to ignore
4878 .  rtol - scalar relative tolerances, NULL to ignore
4879 -  vrtol - vector of relative tolerances, NULL to ignore
4880 
4881    Level: beginner
4882 
4883 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4884 @*/
4885 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4886 {
4887   PetscFunctionBegin;
4888   if (atol)  *atol  = ts->atol;
4889   if (vatol) *vatol = ts->vatol;
4890   if (rtol)  *rtol  = ts->rtol;
4891   if (vrtol) *vrtol = ts->vrtol;
4892   PetscFunctionReturn(0);
4893 }
4894 
4895 #undef __FUNCT__
4896 #define __FUNCT__ "TSErrorNormWRMS"
4897 /*@
4898    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4899 
4900    Collective on TS
4901 
4902    Input Arguments:
4903 +  ts - time stepping context
4904 -  Y - state vector to be compared to ts->vec_sol
4905 
4906    Output Arguments:
4907 .  norm - weighted norm, a value of 1.0 is considered small
4908 
4909    Level: developer
4910 
4911 .seealso: TSSetTolerances()
4912 @*/
4913 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4914 {
4915   PetscErrorCode    ierr;
4916   PetscInt          i,n,N;
4917   const PetscScalar *u,*y;
4918   Vec               U;
4919   PetscReal         sum,gsum;
4920 
4921   PetscFunctionBegin;
4922   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4923   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4924   PetscValidPointer(norm,3);
4925   U = ts->vec_sol;
4926   PetscCheckSameTypeAndComm(U,1,Y,2);
4927   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4928 
4929   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4930   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4931   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4932   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4933   sum  = 0.;
4934   if (ts->vatol && ts->vrtol) {
4935     const PetscScalar *atol,*rtol;
4936     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4937     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4938     for (i=0; i<n; i++) {
4939       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4940       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4941     }
4942     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4943     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4944   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4945     const PetscScalar *atol;
4946     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4947     for (i=0; i<n; i++) {
4948       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * 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   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4953     const PetscScalar *rtol;
4954     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4955     for (i=0; i<n; i++) {
4956       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4957       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4958     }
4959     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4960   } else {                      /* scalar atol, scalar rtol */
4961     for (i=0; i<n; i++) {
4962       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4963       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4964     }
4965   }
4966   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4967   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4968 
4969   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4970   *norm = PetscSqrtReal(gsum / N);
4971   if (PetscIsInfOrNanReal(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4972   PetscFunctionReturn(0);
4973 }
4974 
4975 #undef __FUNCT__
4976 #define __FUNCT__ "TSSetCFLTimeLocal"
4977 /*@
4978    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4979 
4980    Logically Collective on TS
4981 
4982    Input Arguments:
4983 +  ts - time stepping context
4984 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4985 
4986    Note:
4987    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4988 
4989    Level: intermediate
4990 
4991 .seealso: TSGetCFLTime(), TSADAPTCFL
4992 @*/
4993 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4994 {
4995   PetscFunctionBegin;
4996   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4997   ts->cfltime_local = cfltime;
4998   ts->cfltime       = -1.;
4999   PetscFunctionReturn(0);
5000 }
5001 
5002 #undef __FUNCT__
5003 #define __FUNCT__ "TSGetCFLTime"
5004 /*@
5005    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5006 
5007    Collective on TS
5008 
5009    Input Arguments:
5010 .  ts - time stepping context
5011 
5012    Output Arguments:
5013 .  cfltime - maximum stable time step for forward Euler
5014 
5015    Level: advanced
5016 
5017 .seealso: TSSetCFLTimeLocal()
5018 @*/
5019 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5020 {
5021   PetscErrorCode ierr;
5022 
5023   PetscFunctionBegin;
5024   if (ts->cfltime < 0) {
5025     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5026   }
5027   *cfltime = ts->cfltime;
5028   PetscFunctionReturn(0);
5029 }
5030 
5031 #undef __FUNCT__
5032 #define __FUNCT__ "TSVISetVariableBounds"
5033 /*@
5034    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5035 
5036    Input Parameters:
5037 .  ts   - the TS context.
5038 .  xl   - lower bound.
5039 .  xu   - upper bound.
5040 
5041    Notes:
5042    If this routine is not called then the lower and upper bounds are set to
5043    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5044 
5045    Level: advanced
5046 
5047 @*/
5048 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5049 {
5050   PetscErrorCode ierr;
5051   SNES           snes;
5052 
5053   PetscFunctionBegin;
5054   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5055   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5056   PetscFunctionReturn(0);
5057 }
5058 
5059 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5060 #include <mex.h>
5061 
5062 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5063 
5064 #undef __FUNCT__
5065 #define __FUNCT__ "TSComputeFunction_Matlab"
5066 /*
5067    TSComputeFunction_Matlab - Calls the function that has been set with
5068                          TSSetFunctionMatlab().
5069 
5070    Collective on TS
5071 
5072    Input Parameters:
5073 +  snes - the TS context
5074 -  u - input vector
5075 
5076    Output Parameter:
5077 .  y - function vector, as set by TSSetFunction()
5078 
5079    Notes:
5080    TSComputeFunction() is typically used within nonlinear solvers
5081    implementations, so most users would not generally call this routine
5082    themselves.
5083 
5084    Level: developer
5085 
5086 .keywords: TS, nonlinear, compute, function
5087 
5088 .seealso: TSSetFunction(), TSGetFunction()
5089 */
5090 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5091 {
5092   PetscErrorCode  ierr;
5093   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5094   int             nlhs  = 1,nrhs = 7;
5095   mxArray         *plhs[1],*prhs[7];
5096   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5097 
5098   PetscFunctionBegin;
5099   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5100   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5101   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5102   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5103   PetscCheckSameComm(snes,1,u,3);
5104   PetscCheckSameComm(snes,1,y,5);
5105 
5106   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5107   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5108   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5109   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5110 
5111   prhs[0] =  mxCreateDoubleScalar((double)ls);
5112   prhs[1] =  mxCreateDoubleScalar(time);
5113   prhs[2] =  mxCreateDoubleScalar((double)lx);
5114   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5115   prhs[4] =  mxCreateDoubleScalar((double)ly);
5116   prhs[5] =  mxCreateString(sctx->funcname);
5117   prhs[6] =  sctx->ctx;
5118   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5119   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5120   mxDestroyArray(prhs[0]);
5121   mxDestroyArray(prhs[1]);
5122   mxDestroyArray(prhs[2]);
5123   mxDestroyArray(prhs[3]);
5124   mxDestroyArray(prhs[4]);
5125   mxDestroyArray(prhs[5]);
5126   mxDestroyArray(plhs[0]);
5127   PetscFunctionReturn(0);
5128 }
5129 
5130 
5131 #undef __FUNCT__
5132 #define __FUNCT__ "TSSetFunctionMatlab"
5133 /*
5134    TSSetFunctionMatlab - Sets the function evaluation routine and function
5135    vector for use by the TS routines in solving ODEs
5136    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5137 
5138    Logically Collective on TS
5139 
5140    Input Parameters:
5141 +  ts - the TS context
5142 -  func - function evaluation routine
5143 
5144    Calling sequence of func:
5145 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5146 
5147    Level: beginner
5148 
5149 .keywords: TS, nonlinear, set, function
5150 
5151 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5152 */
5153 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5154 {
5155   PetscErrorCode  ierr;
5156   TSMatlabContext *sctx;
5157 
5158   PetscFunctionBegin;
5159   /* currently sctx is memory bleed */
5160   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5161   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5162   /*
5163      This should work, but it doesn't
5164   sctx->ctx = ctx;
5165   mexMakeArrayPersistent(sctx->ctx);
5166   */
5167   sctx->ctx = mxDuplicateArray(ctx);
5168 
5169   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5170   PetscFunctionReturn(0);
5171 }
5172 
5173 #undef __FUNCT__
5174 #define __FUNCT__ "TSComputeJacobian_Matlab"
5175 /*
5176    TSComputeJacobian_Matlab - Calls the function that has been set with
5177                          TSSetJacobianMatlab().
5178 
5179    Collective on TS
5180 
5181    Input Parameters:
5182 +  ts - the TS context
5183 .  u - input vector
5184 .  A, B - the matrices
5185 -  ctx - user context
5186 
5187    Level: developer
5188 
5189 .keywords: TS, nonlinear, compute, function
5190 
5191 .seealso: TSSetFunction(), TSGetFunction()
5192 @*/
5193 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5194 {
5195   PetscErrorCode  ierr;
5196   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5197   int             nlhs  = 2,nrhs = 9;
5198   mxArray         *plhs[2],*prhs[9];
5199   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5200 
5201   PetscFunctionBegin;
5202   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5203   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5204 
5205   /* call Matlab function in ctx with arguments u and y */
5206 
5207   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5208   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5209   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5210   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5211   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5212 
5213   prhs[0] =  mxCreateDoubleScalar((double)ls);
5214   prhs[1] =  mxCreateDoubleScalar((double)time);
5215   prhs[2] =  mxCreateDoubleScalar((double)lx);
5216   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5217   prhs[4] =  mxCreateDoubleScalar((double)shift);
5218   prhs[5] =  mxCreateDoubleScalar((double)lA);
5219   prhs[6] =  mxCreateDoubleScalar((double)lB);
5220   prhs[7] =  mxCreateString(sctx->funcname);
5221   prhs[8] =  sctx->ctx;
5222   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5223   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5224   mxDestroyArray(prhs[0]);
5225   mxDestroyArray(prhs[1]);
5226   mxDestroyArray(prhs[2]);
5227   mxDestroyArray(prhs[3]);
5228   mxDestroyArray(prhs[4]);
5229   mxDestroyArray(prhs[5]);
5230   mxDestroyArray(prhs[6]);
5231   mxDestroyArray(prhs[7]);
5232   mxDestroyArray(plhs[0]);
5233   mxDestroyArray(plhs[1]);
5234   PetscFunctionReturn(0);
5235 }
5236 
5237 
5238 #undef __FUNCT__
5239 #define __FUNCT__ "TSSetJacobianMatlab"
5240 /*
5241    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5242    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
5243 
5244    Logically Collective on TS
5245 
5246    Input Parameters:
5247 +  ts - the TS context
5248 .  A,B - Jacobian matrices
5249 .  func - function evaluation routine
5250 -  ctx - user context
5251 
5252    Calling sequence of func:
5253 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5254 
5255 
5256    Level: developer
5257 
5258 .keywords: TS, nonlinear, set, function
5259 
5260 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5261 */
5262 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5263 {
5264   PetscErrorCode  ierr;
5265   TSMatlabContext *sctx;
5266 
5267   PetscFunctionBegin;
5268   /* currently sctx is memory bleed */
5269   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5270   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5271   /*
5272      This should work, but it doesn't
5273   sctx->ctx = ctx;
5274   mexMakeArrayPersistent(sctx->ctx);
5275   */
5276   sctx->ctx = mxDuplicateArray(ctx);
5277 
5278   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5279   PetscFunctionReturn(0);
5280 }
5281 
5282 #undef __FUNCT__
5283 #define __FUNCT__ "TSMonitor_Matlab"
5284 /*
5285    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5286 
5287    Collective on TS
5288 
5289 .seealso: TSSetFunction(), TSGetFunction()
5290 @*/
5291 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5292 {
5293   PetscErrorCode  ierr;
5294   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5295   int             nlhs  = 1,nrhs = 6;
5296   mxArray         *plhs[1],*prhs[6];
5297   long long int   lx = 0,ls = 0;
5298 
5299   PetscFunctionBegin;
5300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5301   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5302 
5303   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5304   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5305 
5306   prhs[0] =  mxCreateDoubleScalar((double)ls);
5307   prhs[1] =  mxCreateDoubleScalar((double)it);
5308   prhs[2] =  mxCreateDoubleScalar((double)time);
5309   prhs[3] =  mxCreateDoubleScalar((double)lx);
5310   prhs[4] =  mxCreateString(sctx->funcname);
5311   prhs[5] =  sctx->ctx;
5312   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5313   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5314   mxDestroyArray(prhs[0]);
5315   mxDestroyArray(prhs[1]);
5316   mxDestroyArray(prhs[2]);
5317   mxDestroyArray(prhs[3]);
5318   mxDestroyArray(prhs[4]);
5319   mxDestroyArray(plhs[0]);
5320   PetscFunctionReturn(0);
5321 }
5322 
5323 
5324 #undef __FUNCT__
5325 #define __FUNCT__ "TSMonitorSetMatlab"
5326 /*
5327    TSMonitorSetMatlab - Sets the monitor function from Matlab
5328 
5329    Level: developer
5330 
5331 .keywords: TS, nonlinear, set, function
5332 
5333 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5334 */
5335 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5336 {
5337   PetscErrorCode  ierr;
5338   TSMatlabContext *sctx;
5339 
5340   PetscFunctionBegin;
5341   /* currently sctx is memory bleed */
5342   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5343   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5344   /*
5345      This should work, but it doesn't
5346   sctx->ctx = ctx;
5347   mexMakeArrayPersistent(sctx->ctx);
5348   */
5349   sctx->ctx = mxDuplicateArray(ctx);
5350 
5351   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5352   PetscFunctionReturn(0);
5353 }
5354 #endif
5355 
5356 
5357 
5358 #undef __FUNCT__
5359 #define __FUNCT__ "TSMonitorLGSolution"
5360 /*@C
5361    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5362        in a time based line graph
5363 
5364    Collective on TS
5365 
5366    Input Parameters:
5367 +  ts - the TS context
5368 .  step - current time-step
5369 .  ptime - current time
5370 -  lg - a line graph object
5371 
5372    Level: intermediate
5373 
5374     Notes: each process in a parallel run displays its component solutions in a separate window
5375 
5376 .keywords: TS,  vector, monitor, view
5377 
5378 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5379 @*/
5380 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5381 {
5382   PetscErrorCode    ierr;
5383   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5384   const PetscScalar *yy;
5385   PetscInt          dim;
5386 
5387   PetscFunctionBegin;
5388   if (!step) {
5389     PetscDrawAxis axis;
5390     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5391     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5392     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5393     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5394     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5395   }
5396   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
5397 #if defined(PETSC_USE_COMPLEX)
5398   {
5399     PetscReal *yreal;
5400     PetscInt  i,n;
5401     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
5402     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5403     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5404     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5405     ierr = PetscFree(yreal);CHKERRQ(ierr);
5406   }
5407 #else
5408   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5409 #endif
5410   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
5411   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5412     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5413   }
5414   PetscFunctionReturn(0);
5415 }
5416 
5417 #undef __FUNCT__
5418 #define __FUNCT__ "TSMonitorLGError"
5419 /*@C
5420    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
5421        in a time based line graph
5422 
5423    Collective on TS
5424 
5425    Input Parameters:
5426 +  ts - the TS context
5427 .  step - current time-step
5428 .  ptime - current time
5429 -  lg - a line graph object
5430 
5431    Level: intermediate
5432 
5433    Notes:
5434    Only for sequential solves.
5435 
5436    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
5437 
5438    Options Database Keys:
5439 .  -ts_monitor_lg_error - create a graphical monitor of error history
5440 
5441 .keywords: TS,  vector, monitor, view
5442 
5443 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
5444 @*/
5445 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5446 {
5447   PetscErrorCode    ierr;
5448   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5449   const PetscScalar *yy;
5450   Vec               y;
5451   PetscInt          dim;
5452 
5453   PetscFunctionBegin;
5454   if (!step) {
5455     PetscDrawAxis axis;
5456     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5457     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
5458     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5459     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5460     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5461   }
5462   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
5463   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
5464   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
5465   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
5466 #if defined(PETSC_USE_COMPLEX)
5467   {
5468     PetscReal *yreal;
5469     PetscInt  i,n;
5470     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
5471     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5472     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5473     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5474     ierr = PetscFree(yreal);CHKERRQ(ierr);
5475   }
5476 #else
5477   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5478 #endif
5479   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
5480   ierr = VecDestroy(&y);CHKERRQ(ierr);
5481   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5482     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5483   }
5484   PetscFunctionReturn(0);
5485 }
5486 
5487 #undef __FUNCT__
5488 #define __FUNCT__ "TSMonitorLGSNESIterations"
5489 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5490 {
5491   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5492   PetscReal      x   = ptime,y;
5493   PetscErrorCode ierr;
5494   PetscInt       its;
5495 
5496   PetscFunctionBegin;
5497   if (!n) {
5498     PetscDrawAxis axis;
5499 
5500     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5501     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
5502     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5503 
5504     ctx->snes_its = 0;
5505   }
5506   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
5507   y    = its - ctx->snes_its;
5508   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5509   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5510     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5511   }
5512   ctx->snes_its = its;
5513   PetscFunctionReturn(0);
5514 }
5515 
5516 #undef __FUNCT__
5517 #define __FUNCT__ "TSMonitorLGKSPIterations"
5518 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5519 {
5520   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5521   PetscReal      x   = ptime,y;
5522   PetscErrorCode ierr;
5523   PetscInt       its;
5524 
5525   PetscFunctionBegin;
5526   if (!n) {
5527     PetscDrawAxis axis;
5528 
5529     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5530     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
5531     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5532 
5533     ctx->ksp_its = 0;
5534   }
5535   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
5536   y    = its - ctx->ksp_its;
5537   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5538   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5539     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5540   }
5541   ctx->ksp_its = its;
5542   PetscFunctionReturn(0);
5543 }
5544 
5545 #undef __FUNCT__
5546 #define __FUNCT__ "TSComputeLinearStability"
5547 /*@
5548    TSComputeLinearStability - computes the linear stability function at a point
5549 
5550    Collective on TS and Vec
5551 
5552    Input Parameters:
5553 +  ts - the TS context
5554 -  xr,xi - real and imaginary part of input arguments
5555 
5556    Output Parameters:
5557 .  yr,yi - real and imaginary part of function value
5558 
5559    Level: developer
5560 
5561 .keywords: TS, compute
5562 
5563 .seealso: TSSetRHSFunction(), TSComputeIFunction()
5564 @*/
5565 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
5566 {
5567   PetscErrorCode ierr;
5568 
5569   PetscFunctionBegin;
5570   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5571   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
5572   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
5573   PetscFunctionReturn(0);
5574 }
5575 
5576 #undef __FUNCT__
5577 #define __FUNCT__ "TSRollBack"
5578 /*@
5579    TSRollBack - Rolls back one time step
5580 
5581    Collective on TS
5582 
5583    Input Parameter:
5584 .  ts - the TS context obtained from TSCreate()
5585 
5586    Level: advanced
5587 
5588 .keywords: TS, timestep, rollback
5589 
5590 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
5591 @*/
5592 PetscErrorCode  TSRollBack(TS ts)
5593 {
5594   PetscErrorCode ierr;
5595 
5596   PetscFunctionBegin;
5597   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5598 
5599   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
5600   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
5601   ts->time_step = ts->ptime - ts->ptime_prev;
5602   ts->ptime = ts->ptime_prev;
5603   PetscFunctionReturn(0);
5604 }
5605 
5606 #undef __FUNCT__
5607 #define __FUNCT__ "TSGetStages"
5608 /*@
5609    TSGetStages - Get the number of stages and stage values
5610 
5611    Input Parameter:
5612 .  ts - the TS context obtained from TSCreate()
5613 
5614    Level: advanced
5615 
5616 .keywords: TS, getstages
5617 
5618 .seealso: TSCreate()
5619 @*/
5620 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
5621 {
5622   PetscErrorCode ierr;
5623 
5624   PetscFunctionBegin;
5625   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5626   PetscValidPointer(ns,2);
5627 
5628   if (!ts->ops->getstages) *ns=0;
5629   else {
5630     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
5631   }
5632   PetscFunctionReturn(0);
5633 }
5634 
5635