xref: /petsc/src/ts/interface/ts.c (revision bb1d7374b64f295b2ed5ff23b89435d65e905a54)
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_trajectory - 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_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
47 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
48 .  -ts_monitor - print information at each timestep
49 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
50 .  -ts_monitor_lg_solution - Monitor solution graphically
51 .  -ts_monitor_lg_error - Monitor error graphically
52 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
53 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
54 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
55 .  -ts_monitor_draw_solution - Monitor solution graphically
56 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
57 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
58 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
59 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
60 -  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
61 
62    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
63 
64    Level: beginner
65 
66 .keywords: TS, timestep, set, options, database
67 
68 .seealso: TSGetType()
69 @*/
70 PetscErrorCode  TSSetFromOptions(TS ts)
71 {
72   PetscBool              opt,flg,tflg;
73   PetscErrorCode         ierr;
74   PetscViewer            monviewer;
75   char                   monfilename[PETSC_MAX_PATH_LEN];
76   SNES                   snes;
77   TSAdapt                adapt;
78   PetscReal              time_step;
79   TSExactFinalTimeOption eftopt;
80   char                   dir[16];
81   const char             *defaultType;
82   char                   typeName[256];
83 
84   PetscFunctionBegin;
85   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
86   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
87   if (((PetscObject)ts)->type_name) defaultType = ((PetscObject)ts)->type_name;
88   else defaultType = TSEULER;
89 
90   ierr = TSRegisterAll();CHKERRQ(ierr);
91   ierr = PetscOptionsFList("-ts_type", "TS method"," TSSetType", TSList, defaultType, typeName, 256, &opt);CHKERRQ(ierr);
92   if (opt) {
93     ierr = TSSetType(ts, typeName);CHKERRQ(ierr);
94   } else {
95     ierr = TSSetType(ts, defaultType);CHKERRQ(ierr);
96   }
97 
98   /* Handle generic TS options */
99   if (ts->trajectory) tflg = PETSC_TRUE;
100   else tflg = PETSC_FALSE;
101   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
102   if (tflg) {ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);}
103   if (ts->adjoint_solve) tflg = PETSC_TRUE;
104   else tflg = PETSC_FALSE;
105   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
106   if (flg) {
107     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
108     ts->adjoint_solve = tflg;
109   }
110   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
111   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
112   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
113   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
114   if (flg) {
115     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
116   }
117   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);
118   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
119   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
120   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
121   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
122   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
123   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
124 
125 #if defined(PETSC_HAVE_SAWS)
126   {
127   PetscBool set;
128   flg  = PETSC_FALSE;
129   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
130   if (set) {
131     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
132   }
133   }
134 #endif
135 
136   /* Monitor options */
137   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
138   if (flg) {
139     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
140     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
141   }
142   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
143   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
144 
145   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
146   if (opt) {
147     TSMonitorLGCtx ctx;
148     PetscInt       howoften = 1;
149 
150     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
151     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
152     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
153   }
154   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
155   if (opt) {
156     TSMonitorLGCtx ctx;
157     PetscInt       howoften = 1;
158 
159     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
160     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
161     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
162   }
163   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
164   if (opt) {
165     TSMonitorLGCtx ctx;
166     PetscInt       howoften = 1;
167 
168     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
169     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
170     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
171   }
172   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
173   if (opt) {
174     TSMonitorLGCtx ctx;
175     PetscInt       howoften = 1;
176 
177     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
178     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
179     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
180   }
181   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
182   if (opt) {
183     TSMonitorLGCtx ctx;
184     PetscInt       howoften = 1;
185 
186     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
187     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
188     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
189   }
190   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
191   if (opt) {
192     TSMonitorSPEigCtx ctx;
193     PetscInt          howoften = 1;
194 
195     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
196     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
197     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
198   }
199   opt  = PETSC_FALSE;
200   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
201   if (opt) {
202     TSMonitorDrawCtx ctx;
203     PetscInt         howoften = 1;
204 
205     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
206     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
207     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
208   }
209   opt  = PETSC_FALSE;
210   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
211   if (opt) {
212     TSMonitorDrawCtx ctx;
213     PetscInt         howoften = 1;
214 
215     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
216     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
217     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
218   }
219   opt  = PETSC_FALSE;
220   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
221   if (opt) {
222     TSMonitorDrawCtx ctx;
223     PetscReal        bounds[4];
224     PetscInt         n = 4;
225     PetscDraw        draw;
226 
227     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
228     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
229     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
230     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
231     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
232     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
233     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
234     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
235     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
236     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
237     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
238   }
239   opt  = PETSC_FALSE;
240   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
241   if (opt) {
242     TSMonitorDrawCtx ctx;
243     PetscInt         howoften = 1;
244 
245     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
246     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
247     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
248   }
249   opt  = PETSC_FALSE;
250   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
251   if (flg) {
252     PetscViewer ctx;
253     if (monfilename[0]) {
254       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
255       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
256     } else {
257       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
258       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
259     }
260   }
261   opt  = PETSC_FALSE;
262   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);
263   if (flg) {
264     const char *ptr,*ptr2;
265     char       *filetemplate;
266     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
267     /* Do some cursory validation of the input. */
268     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
269     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
270     for (ptr++; ptr && *ptr; ptr++) {
271       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
272       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");
273       if (ptr2) break;
274     }
275     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
276     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
277   }
278 
279   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
280   if (flg) {
281     TSMonitorDMDARayCtx *rayctx;
282     int                  ray = 0;
283     DMDADirection        ddir;
284     DM                   da;
285     PetscMPIInt          rank;
286 
287     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
288     if (dir[0] == 'x') ddir = DMDA_X;
289     else if (dir[0] == 'y') ddir = DMDA_Y;
290     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
291     sscanf(dir+2,"%d",&ray);
292 
293     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
294     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
295     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
296     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
297     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
298     if (!rank) {
299       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
300     }
301     rayctx->lgctx = NULL;
302     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
303   }
304   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
305   if (flg) {
306     TSMonitorDMDARayCtx *rayctx;
307     int                 ray = 0;
308     DMDADirection       ddir;
309     DM                  da;
310     PetscInt            howoften = 1;
311 
312     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
313     if      (dir[0] == 'x') ddir = DMDA_X;
314     else if (dir[0] == 'y') ddir = DMDA_Y;
315     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
316     sscanf(dir+2, "%d", &ray);
317 
318     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
319     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
320     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
321     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
322     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
323     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
324   }
325 
326   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
327   if (opt) {
328     TSMonitorEnvelopeCtx ctx;
329 
330     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
331     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
332   }
333 
334   flg  = PETSC_FALSE;
335   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
336   if (flg) {
337     DM   dm;
338     DMTS tdm;
339 
340     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
341     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
342     tdm->ijacobianctx = NULL;
343     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
344     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
345   }
346 
347   /*
348      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
349      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
350   */
351   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
352   ierr = TSAdaptSetFromOptions(PetscOptionsObject,adapt);CHKERRQ(ierr);
353 
354     /* Handle specific TS options */
355   if (ts->ops->setfromoptions) {
356     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
357   }
358   ierr = PetscOptionsEnd();CHKERRQ(ierr);
359 
360   /* process any options handlers added with PetscObjectAddOptionsHandler() */
361   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
362 
363   if (ts->trajectory) {
364     ierr = TSTrajectorySetFromOptions(ts->trajectory);CHKERRQ(ierr);
365   }
366 
367   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
368   if (snes) {
369     if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
370     ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
371   }
372   PetscFunctionReturn(0);
373 }
374 
375 #undef __FUNCT__
376 #define __FUNCT__ "TSSetSaveTrajectory"
377 /*@
378    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
379 
380    Collective on TS
381 
382    Input Parameters:
383 .  ts - the TS context obtained from TSCreate()
384 
385 
386    Level: intermediate
387 
388 .seealso: TSGetTrajectory(), TSAdjointSolve()
389 
390 .keywords: TS, set, checkpoint,
391 @*/
392 PetscErrorCode  TSSetSaveTrajectory(TS ts)
393 {
394   PetscErrorCode ierr;
395 
396   PetscFunctionBegin;
397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
398   if (!ts->trajectory) {
399     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
400     ierr = TSTrajectorySetType(ts->trajectory,TSTRAJECTORYBASIC);CHKERRQ(ierr);
401     ierr = TSTrajectorySetFromOptions(ts->trajectory);CHKERRQ(ierr);
402   }
403   PetscFunctionReturn(0);
404 }
405 
406 #undef __FUNCT__
407 #define __FUNCT__ "TSComputeRHSJacobian"
408 /*@
409    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
410       set with TSSetRHSJacobian().
411 
412    Collective on TS and Vec
413 
414    Input Parameters:
415 +  ts - the TS context
416 .  t - current timestep
417 -  U - input vector
418 
419    Output Parameters:
420 +  A - Jacobian matrix
421 .  B - optional preconditioning matrix
422 -  flag - flag indicating matrix structure
423 
424    Notes:
425    Most users should not need to explicitly call this routine, as it
426    is used internally within the nonlinear solvers.
427 
428    See KSPSetOperators() for important information about setting the
429    flag parameter.
430 
431    Level: developer
432 
433 .keywords: SNES, compute, Jacobian, matrix
434 
435 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
436 @*/
437 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
438 {
439   PetscErrorCode ierr;
440   PetscObjectState Ustate;
441   DM             dm;
442   DMTS           tsdm;
443   TSRHSJacobian  rhsjacobianfunc;
444   void           *ctx;
445   TSIJacobian    ijacobianfunc;
446   TSRHSFunction  rhsfunction;
447 
448   PetscFunctionBegin;
449   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
450   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
451   PetscCheckSameComm(ts,1,U,3);
452   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
453   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
454   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
455   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
456   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
457   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
458   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
459     PetscFunctionReturn(0);
460   }
461 
462   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
463 
464   if (ts->rhsjacobian.reuse) {
465     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
466     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
467     if (A != B) {
468       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
469       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
470     }
471     ts->rhsjacobian.shift = 0;
472     ts->rhsjacobian.scale = 1.;
473   }
474 
475   if (rhsjacobianfunc) {
476     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
477     PetscStackPush("TS user Jacobian function");
478     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
479     PetscStackPop;
480     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
481     /* make sure user returned a correct Jacobian and preconditioner */
482     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
483     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
484   } else {
485     ierr = MatZeroEntries(A);CHKERRQ(ierr);
486     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
487   }
488   ts->rhsjacobian.time       = t;
489   ts->rhsjacobian.X          = U;
490   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
491   PetscFunctionReturn(0);
492 }
493 
494 #undef __FUNCT__
495 #define __FUNCT__ "TSComputeRHSFunction"
496 /*@
497    TSComputeRHSFunction - Evaluates the right-hand-side function.
498 
499    Collective on TS and Vec
500 
501    Input Parameters:
502 +  ts - the TS context
503 .  t - current time
504 -  U - state vector
505 
506    Output Parameter:
507 .  y - right hand side
508 
509    Note:
510    Most users should not need to explicitly call this routine, as it
511    is used internally within the nonlinear solvers.
512 
513    Level: developer
514 
515 .keywords: TS, compute
516 
517 .seealso: TSSetRHSFunction(), TSComputeIFunction()
518 @*/
519 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
520 {
521   PetscErrorCode ierr;
522   TSRHSFunction  rhsfunction;
523   TSIFunction    ifunction;
524   void           *ctx;
525   DM             dm;
526 
527   PetscFunctionBegin;
528   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
529   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
530   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
531   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
532   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
533   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
534 
535   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
536 
537   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
538   if (rhsfunction) {
539     PetscStackPush("TS user right-hand-side function");
540     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
541     PetscStackPop;
542   } else {
543     ierr = VecZeroEntries(y);CHKERRQ(ierr);
544   }
545 
546   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
547   PetscFunctionReturn(0);
548 }
549 
550 #undef __FUNCT__
551 #define __FUNCT__ "TSComputeSolutionFunction"
552 /*@
553    TSComputeSolutionFunction - Evaluates the solution 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 solution
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 TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
575 {
576   PetscErrorCode     ierr;
577   TSSolutionFunction solutionfunction;
578   void               *ctx;
579   DM                 dm;
580 
581   PetscFunctionBegin;
582   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
583   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
584   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
585   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
586 
587   if (solutionfunction) {
588     PetscStackPush("TS user solution function");
589     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
590     PetscStackPop;
591   }
592   PetscFunctionReturn(0);
593 }
594 #undef __FUNCT__
595 #define __FUNCT__ "TSComputeForcingFunction"
596 /*@
597    TSComputeForcingFunction - Evaluates the forcing function.
598 
599    Collective on TS and Vec
600 
601    Input Parameters:
602 +  ts - the TS context
603 -  t - current time
604 
605    Output Parameter:
606 .  U - the function value
607 
608    Note:
609    Most users should not need to explicitly call this routine, as it
610    is used internally within the nonlinear solvers.
611 
612    Level: developer
613 
614 .keywords: TS, compute
615 
616 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
617 @*/
618 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
619 {
620   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
621   void               *ctx;
622   DM                 dm;
623 
624   PetscFunctionBegin;
625   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
626   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
627   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
628   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
629 
630   if (forcing) {
631     PetscStackPush("TS user forcing function");
632     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
633     PetscStackPop;
634   }
635   PetscFunctionReturn(0);
636 }
637 
638 #undef __FUNCT__
639 #define __FUNCT__ "TSGetRHSVec_Private"
640 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
641 {
642   Vec            F;
643   PetscErrorCode ierr;
644 
645   PetscFunctionBegin;
646   *Frhs = NULL;
647   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
648   if (!ts->Frhs) {
649     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
650   }
651   *Frhs = ts->Frhs;
652   PetscFunctionReturn(0);
653 }
654 
655 #undef __FUNCT__
656 #define __FUNCT__ "TSGetRHSMats_Private"
657 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
658 {
659   Mat            A,B;
660   PetscErrorCode ierr;
661 
662   PetscFunctionBegin;
663   if (Arhs) *Arhs = NULL;
664   if (Brhs) *Brhs = NULL;
665   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
666   if (Arhs) {
667     if (!ts->Arhs) {
668       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
669     }
670     *Arhs = ts->Arhs;
671   }
672   if (Brhs) {
673     if (!ts->Brhs) {
674       if (A != B) {
675         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
676       } else {
677         ts->Brhs = ts->Arhs;
678         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
679       }
680     }
681     *Brhs = ts->Brhs;
682   }
683   PetscFunctionReturn(0);
684 }
685 
686 #undef __FUNCT__
687 #define __FUNCT__ "TSComputeIFunction"
688 /*@
689    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
690 
691    Collective on TS and Vec
692 
693    Input Parameters:
694 +  ts - the TS context
695 .  t - current time
696 .  U - state vector
697 .  Udot - time derivative of state vector
698 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
699 
700    Output Parameter:
701 .  Y - right hand side
702 
703    Note:
704    Most users should not need to explicitly call this routine, as it
705    is used internally within the nonlinear solvers.
706 
707    If the user did did not write their equations in implicit form, this
708    function recasts them in implicit form.
709 
710    Level: developer
711 
712 .keywords: TS, compute
713 
714 .seealso: TSSetIFunction(), TSComputeRHSFunction()
715 @*/
716 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
717 {
718   PetscErrorCode ierr;
719   TSIFunction    ifunction;
720   TSRHSFunction  rhsfunction;
721   void           *ctx;
722   DM             dm;
723 
724   PetscFunctionBegin;
725   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
726   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
727   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
728   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
729 
730   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
731   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
732   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
733 
734   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
735 
736   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
737   if (ifunction) {
738     PetscStackPush("TS user implicit function");
739     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
740     PetscStackPop;
741   }
742   if (imex) {
743     if (!ifunction) {
744       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
745     }
746   } else if (rhsfunction) {
747     if (ifunction) {
748       Vec Frhs;
749       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
750       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
751       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
752     } else {
753       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
754       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
755     }
756   }
757   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
758   PetscFunctionReturn(0);
759 }
760 
761 #undef __FUNCT__
762 #define __FUNCT__ "TSComputeIJacobian"
763 /*@
764    TSComputeIJacobian - Evaluates the Jacobian of the DAE
765 
766    Collective on TS and Vec
767 
768    Input
769       Input Parameters:
770 +  ts - the TS context
771 .  t - current timestep
772 .  U - state vector
773 .  Udot - time derivative of state vector
774 .  shift - shift to apply, see note below
775 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
776 
777    Output Parameters:
778 +  A - Jacobian matrix
779 .  B - optional preconditioning matrix
780 -  flag - flag indicating matrix structure
781 
782    Notes:
783    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
784 
785    dF/dU + shift*dF/dUdot
786 
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    Level: developer
791 
792 .keywords: TS, compute, Jacobian, matrix
793 
794 .seealso:  TSSetIJacobian()
795 @*/
796 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
797 {
798   PetscErrorCode ierr;
799   TSIJacobian    ijacobian;
800   TSRHSJacobian  rhsjacobian;
801   DM             dm;
802   void           *ctx;
803 
804   PetscFunctionBegin;
805   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
806   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
807   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
808   PetscValidPointer(A,6);
809   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
810   PetscValidPointer(B,7);
811   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
816 
817   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
818 
819   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
820   if (ijacobian) {
821     PetscStackPush("TS user implicit Jacobian");
822     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824     /* make sure user returned a correct Jacobian and preconditioner */
825     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
826     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
827   }
828   if (imex) {
829     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
830       ierr = MatZeroEntries(A);CHKERRQ(ierr);
831       ierr = MatShift(A,shift);CHKERRQ(ierr);
832       if (A != B) {
833         ierr = MatZeroEntries(B);CHKERRQ(ierr);
834         ierr = MatShift(B,shift);CHKERRQ(ierr);
835       }
836     }
837   } else {
838     Mat Arhs = NULL,Brhs = NULL;
839     if (rhsjacobian) {
840       if (ijacobian) {
841         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
842       } else {
843         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
844       }
845       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
846     }
847     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
848       ts->rhsjacobian.scale = -1;
849       ts->rhsjacobian.shift = shift;
850       ierr = MatScale(A,-1);CHKERRQ(ierr);
851       ierr = MatShift(A,shift);CHKERRQ(ierr);
852       if (A != B) {
853         ierr = MatScale(B,-1);CHKERRQ(ierr);
854         ierr = MatShift(B,shift);CHKERRQ(ierr);
855       }
856     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
857       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
858       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
859         ierr = MatZeroEntries(A);CHKERRQ(ierr);
860         ierr = MatShift(A,shift);CHKERRQ(ierr);
861         if (A != B) {
862           ierr = MatZeroEntries(B);CHKERRQ(ierr);
863           ierr = MatShift(B,shift);CHKERRQ(ierr);
864         }
865       }
866       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
867       if (A != B) {
868         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
869       }
870     }
871   }
872   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
873   PetscFunctionReturn(0);
874 }
875 
876 #undef __FUNCT__
877 #define __FUNCT__ "TSSetRHSFunction"
878 /*@C
879     TSSetRHSFunction - Sets the routine for evaluating the function,
880     where U_t = G(t,u).
881 
882     Logically Collective on TS
883 
884     Input Parameters:
885 +   ts - the TS context obtained from TSCreate()
886 .   r - vector to put the computed right hand side (or NULL to have it created)
887 .   f - routine for evaluating the right-hand-side function
888 -   ctx - [optional] user-defined context for private data for the
889           function evaluation routine (may be NULL)
890 
891     Calling sequence of func:
892 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
893 
894 +   t - current timestep
895 .   u - input vector
896 .   F - function vector
897 -   ctx - [optional] user-defined function context
898 
899     Level: beginner
900 
901     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
902 
903 .keywords: TS, timestep, set, right-hand-side, function
904 
905 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
906 @*/
907 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
908 {
909   PetscErrorCode ierr;
910   SNES           snes;
911   Vec            ralloc = NULL;
912   DM             dm;
913 
914   PetscFunctionBegin;
915   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
916   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
917 
918   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
919   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
920   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
921   if (!r && !ts->dm && ts->vec_sol) {
922     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
923     r    = ralloc;
924   }
925   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
926   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
927   PetscFunctionReturn(0);
928 }
929 
930 #undef __FUNCT__
931 #define __FUNCT__ "TSSetSolutionFunction"
932 /*@C
933     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
934 
935     Logically Collective on TS
936 
937     Input Parameters:
938 +   ts - the TS context obtained from TSCreate()
939 .   f - routine for evaluating the solution
940 -   ctx - [optional] user-defined context for private data for the
941           function evaluation routine (may be NULL)
942 
943     Calling sequence of func:
944 $     func (TS ts,PetscReal t,Vec u,void *ctx);
945 
946 +   t - current timestep
947 .   u - output vector
948 -   ctx - [optional] user-defined function context
949 
950     Notes:
951     This routine is used for testing accuracy of time integration schemes when you already know the solution.
952     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
953     create closed-form solutions with non-physical forcing terms.
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(), TSSetForcingFunction()
962 @*/
963 PetscErrorCode  TSSetSolutionFunction(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 = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
972   PetscFunctionReturn(0);
973 }
974 
975 #undef __FUNCT__
976 #define __FUNCT__ "TSSetForcingFunction"
977 /*@C
978     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
979 
980     Logically Collective on TS
981 
982     Input Parameters:
983 +   ts - the TS context obtained from TSCreate()
984 .   f - routine for evaluating the forcing function
985 -   ctx - [optional] user-defined context for private data for the
986           function evaluation routine (may be NULL)
987 
988     Calling sequence of func:
989 $     func (TS ts,PetscReal t,Vec u,void *ctx);
990 
991 +   t - current timestep
992 .   u - output vector
993 -   ctx - [optional] user-defined function context
994 
995     Notes:
996     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
997     create closed-form solutions with a non-physical forcing term.
998 
999     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1000 
1001     Level: beginner
1002 
1003 .keywords: TS, timestep, set, right-hand-side, function
1004 
1005 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1006 @*/
1007 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1008 {
1009   PetscErrorCode ierr;
1010   DM             dm;
1011 
1012   PetscFunctionBegin;
1013   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1014   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1015   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1016   PetscFunctionReturn(0);
1017 }
1018 
1019 #undef __FUNCT__
1020 #define __FUNCT__ "TSSetRHSJacobian"
1021 /*@C
1022    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1023    where U_t = G(U,t), as well as the location to store the matrix.
1024 
1025    Logically Collective on TS
1026 
1027    Input Parameters:
1028 +  ts  - the TS context obtained from TSCreate()
1029 .  Amat - (approximate) Jacobian matrix
1030 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1031 .  f   - the Jacobian evaluation routine
1032 -  ctx - [optional] user-defined context for private data for the
1033          Jacobian evaluation routine (may be NULL)
1034 
1035    Calling sequence of f:
1036 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1037 
1038 +  t - current timestep
1039 .  u - input vector
1040 .  Amat - (approximate) Jacobian matrix
1041 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1042 -  ctx - [optional] user-defined context for matrix evaluation routine
1043 
1044 
1045    Level: beginner
1046 
1047 .keywords: TS, timestep, set, right-hand-side, Jacobian
1048 
1049 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1050 
1051 @*/
1052 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1053 {
1054   PetscErrorCode ierr;
1055   SNES           snes;
1056   DM             dm;
1057   TSIJacobian    ijacobian;
1058 
1059   PetscFunctionBegin;
1060   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1061   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1062   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1063   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1064   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1065 
1066   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1067   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1068   if (f == TSComputeRHSJacobianConstant) {
1069     /* Handle this case automatically for the user; otherwise user should call themselves. */
1070     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1071   }
1072   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1073   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1074   if (!ijacobian) {
1075     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1076   }
1077   if (Amat) {
1078     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1079     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1080 
1081     ts->Arhs = Amat;
1082   }
1083   if (Pmat) {
1084     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1085     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1086 
1087     ts->Brhs = Pmat;
1088   }
1089   PetscFunctionReturn(0);
1090 }
1091 
1092 
1093 #undef __FUNCT__
1094 #define __FUNCT__ "TSSetIFunction"
1095 /*@C
1096    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1097 
1098    Logically Collective on TS
1099 
1100    Input Parameters:
1101 +  ts  - the TS context obtained from TSCreate()
1102 .  r   - vector to hold the residual (or NULL to have it created internally)
1103 .  f   - the function evaluation routine
1104 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1105 
1106    Calling sequence of f:
1107 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1108 
1109 +  t   - time at step/stage being solved
1110 .  u   - state vector
1111 .  u_t - time derivative of state vector
1112 .  F   - function vector
1113 -  ctx - [optional] user-defined context for matrix evaluation routine
1114 
1115    Important:
1116    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1117 
1118    Level: beginner
1119 
1120 .keywords: TS, timestep, set, DAE, Jacobian
1121 
1122 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1123 @*/
1124 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1125 {
1126   PetscErrorCode ierr;
1127   SNES           snes;
1128   Vec            resalloc = NULL;
1129   DM             dm;
1130 
1131   PetscFunctionBegin;
1132   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1133   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1134 
1135   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1136   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1137 
1138   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1139   if (!res && !ts->dm && ts->vec_sol) {
1140     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1141     res  = resalloc;
1142   }
1143   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1144   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1145   PetscFunctionReturn(0);
1146 }
1147 
1148 #undef __FUNCT__
1149 #define __FUNCT__ "TSGetIFunction"
1150 /*@C
1151    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1152 
1153    Not Collective
1154 
1155    Input Parameter:
1156 .  ts - the TS context
1157 
1158    Output Parameter:
1159 +  r - vector to hold residual (or NULL)
1160 .  func - the function to compute residual (or NULL)
1161 -  ctx - the function context (or NULL)
1162 
1163    Level: advanced
1164 
1165 .keywords: TS, nonlinear, get, function
1166 
1167 .seealso: TSSetIFunction(), SNESGetFunction()
1168 @*/
1169 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1170 {
1171   PetscErrorCode ierr;
1172   SNES           snes;
1173   DM             dm;
1174 
1175   PetscFunctionBegin;
1176   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1177   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1178   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1179   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1180   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 #undef __FUNCT__
1185 #define __FUNCT__ "TSGetRHSFunction"
1186 /*@C
1187    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1188 
1189    Not Collective
1190 
1191    Input Parameter:
1192 .  ts - the TS context
1193 
1194    Output Parameter:
1195 +  r - vector to hold computed right hand side (or NULL)
1196 .  func - the function to compute right hand side (or NULL)
1197 -  ctx - the function context (or NULL)
1198 
1199    Level: advanced
1200 
1201 .keywords: TS, nonlinear, get, function
1202 
1203 .seealso: TSSetRHSFunction(), SNESGetFunction()
1204 @*/
1205 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1206 {
1207   PetscErrorCode ierr;
1208   SNES           snes;
1209   DM             dm;
1210 
1211   PetscFunctionBegin;
1212   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1213   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1214   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1215   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1216   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1217   PetscFunctionReturn(0);
1218 }
1219 
1220 #undef __FUNCT__
1221 #define __FUNCT__ "TSSetIJacobian"
1222 /*@C
1223    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1224         provided with TSSetIFunction().
1225 
1226    Logically Collective on TS
1227 
1228    Input Parameters:
1229 +  ts  - the TS context obtained from TSCreate()
1230 .  Amat - (approximate) Jacobian matrix
1231 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1232 .  f   - the Jacobian evaluation routine
1233 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1234 
1235    Calling sequence of f:
1236 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1237 
1238 +  t    - time at step/stage being solved
1239 .  U    - state vector
1240 .  U_t  - time derivative of state vector
1241 .  a    - shift
1242 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1243 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1244 -  ctx  - [optional] user-defined context for matrix evaluation routine
1245 
1246    Notes:
1247    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1248 
1249    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1250    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1251 
1252    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1253    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1254    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1255    a and vector W depend on the integration method, step size, and past states. For example with
1256    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1257    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1258 
1259    Level: beginner
1260 
1261 .keywords: TS, timestep, DAE, Jacobian
1262 
1263 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1264 
1265 @*/
1266 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1267 {
1268   PetscErrorCode ierr;
1269   SNES           snes;
1270   DM             dm;
1271 
1272   PetscFunctionBegin;
1273   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1274   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1275   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1276   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1277   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1278 
1279   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1280   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1281 
1282   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1283   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1284   PetscFunctionReturn(0);
1285 }
1286 
1287 #undef __FUNCT__
1288 #define __FUNCT__ "TSRHSJacobianSetReuse"
1289 /*@
1290    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1291    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1292    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1293    not been changed by the TS.
1294 
1295    Logically Collective
1296 
1297    Input Arguments:
1298 +  ts - TS context obtained from TSCreate()
1299 -  reuse - PETSC_TRUE if the RHS Jacobian
1300 
1301    Level: intermediate
1302 
1303 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1304 @*/
1305 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1306 {
1307   PetscFunctionBegin;
1308   ts->rhsjacobian.reuse = reuse;
1309   PetscFunctionReturn(0);
1310 }
1311 
1312 #undef __FUNCT__
1313 #define __FUNCT__ "TSLoad"
1314 /*@C
1315   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1316 
1317   Collective on PetscViewer
1318 
1319   Input Parameters:
1320 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1321            some related function before a call to TSLoad().
1322 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1323 
1324    Level: intermediate
1325 
1326   Notes:
1327    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1328 
1329   Notes for advanced users:
1330   Most users should not need to know the details of the binary storage
1331   format, since TSLoad() and TSView() completely hide these details.
1332   But for anyone who's interested, the standard binary matrix storage
1333   format is
1334 .vb
1335      has not yet been determined
1336 .ve
1337 
1338 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1339 @*/
1340 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1341 {
1342   PetscErrorCode ierr;
1343   PetscBool      isbinary;
1344   PetscInt       classid;
1345   char           type[256];
1346   DMTS           sdm;
1347   DM             dm;
1348 
1349   PetscFunctionBegin;
1350   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1351   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1352   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1353   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1354 
1355   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1356   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1357   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1358   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1359   if (ts->ops->load) {
1360     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1361   }
1362   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1363   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1364   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1365   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1366   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1367   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1368   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1369   PetscFunctionReturn(0);
1370 }
1371 
1372 #include <petscdraw.h>
1373 #if defined(PETSC_HAVE_SAWS)
1374 #include <petscviewersaws.h>
1375 #endif
1376 #undef __FUNCT__
1377 #define __FUNCT__ "TSView"
1378 /*@C
1379     TSView - Prints the TS data structure.
1380 
1381     Collective on TS
1382 
1383     Input Parameters:
1384 +   ts - the TS context obtained from TSCreate()
1385 -   viewer - visualization context
1386 
1387     Options Database Key:
1388 .   -ts_view - calls TSView() at end of TSStep()
1389 
1390     Notes:
1391     The available visualization contexts include
1392 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1393 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1394          output where only the first processor opens
1395          the file.  All other processors send their
1396          data to the first processor to print.
1397 
1398     The user can open an alternative visualization context with
1399     PetscViewerASCIIOpen() - output to a specified file.
1400 
1401     Level: beginner
1402 
1403 .keywords: TS, timestep, view
1404 
1405 .seealso: PetscViewerASCIIOpen()
1406 @*/
1407 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1408 {
1409   PetscErrorCode ierr;
1410   TSType         type;
1411   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1412   DMTS           sdm;
1413 #if defined(PETSC_HAVE_SAWS)
1414   PetscBool      issaws;
1415 #endif
1416 
1417   PetscFunctionBegin;
1418   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1419   if (!viewer) {
1420     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1421   }
1422   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1423   PetscCheckSameComm(ts,1,viewer,2);
1424 
1425   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1426   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1427   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1428   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1429 #if defined(PETSC_HAVE_SAWS)
1430   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1431 #endif
1432   if (iascii) {
1433     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1434     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1435     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1436     if (ts->problem_type == TS_NONLINEAR) {
1437       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1438       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1439     }
1440     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1441     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1442     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1443     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1444     if (ts->ops->view) {
1445       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1446       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1447       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1448     }
1449   } else if (isstring) {
1450     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1451     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1452   } else if (isbinary) {
1453     PetscInt    classid = TS_FILE_CLASSID;
1454     MPI_Comm    comm;
1455     PetscMPIInt rank;
1456     char        type[256];
1457 
1458     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1459     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1460     if (!rank) {
1461       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1462       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1463       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1464     }
1465     if (ts->ops->view) {
1466       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1467     }
1468     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1469     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1470     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1471     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1472   } else if (isdraw) {
1473     PetscDraw draw;
1474     char      str[36];
1475     PetscReal x,y,bottom,h;
1476 
1477     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1478     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1479     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1480     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1481     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1482     bottom = y - h;
1483     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1484     if (ts->ops->view) {
1485       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1486     }
1487     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1488 #if defined(PETSC_HAVE_SAWS)
1489   } else if (issaws) {
1490     PetscMPIInt rank;
1491     const char  *name;
1492 
1493     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1494     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1495     if (!((PetscObject)ts)->amsmem && !rank) {
1496       char       dir[1024];
1497 
1498       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1499       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1500       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1501       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1502       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1503     }
1504     if (ts->ops->view) {
1505       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1506     }
1507 #endif
1508   }
1509 
1510   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1511   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1512   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1513   PetscFunctionReturn(0);
1514 }
1515 
1516 
1517 #undef __FUNCT__
1518 #define __FUNCT__ "TSSetApplicationContext"
1519 /*@
1520    TSSetApplicationContext - Sets an optional user-defined context for
1521    the timesteppers.
1522 
1523    Logically Collective on TS
1524 
1525    Input Parameters:
1526 +  ts - the TS context obtained from TSCreate()
1527 -  usrP - optional user context
1528 
1529    Level: intermediate
1530 
1531 .keywords: TS, timestep, set, application, context
1532 
1533 .seealso: TSGetApplicationContext()
1534 @*/
1535 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1536 {
1537   PetscFunctionBegin;
1538   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1539   ts->user = usrP;
1540   PetscFunctionReturn(0);
1541 }
1542 
1543 #undef __FUNCT__
1544 #define __FUNCT__ "TSGetApplicationContext"
1545 /*@
1546     TSGetApplicationContext - Gets the user-defined context for the
1547     timestepper.
1548 
1549     Not Collective
1550 
1551     Input Parameter:
1552 .   ts - the TS context obtained from TSCreate()
1553 
1554     Output Parameter:
1555 .   usrP - user context
1556 
1557     Level: intermediate
1558 
1559 .keywords: TS, timestep, get, application, context
1560 
1561 .seealso: TSSetApplicationContext()
1562 @*/
1563 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1564 {
1565   PetscFunctionBegin;
1566   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1567   *(void**)usrP = ts->user;
1568   PetscFunctionReturn(0);
1569 }
1570 
1571 #undef __FUNCT__
1572 #define __FUNCT__ "TSGetTimeStepNumber"
1573 /*@
1574    TSGetTimeStepNumber - Gets the number of time steps completed.
1575 
1576    Not Collective
1577 
1578    Input Parameter:
1579 .  ts - the TS context obtained from TSCreate()
1580 
1581    Output Parameter:
1582 .  iter - number of steps completed so far
1583 
1584    Level: intermediate
1585 
1586 .keywords: TS, timestep, get, iteration, number
1587 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1588 @*/
1589 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1590 {
1591   PetscFunctionBegin;
1592   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1593   PetscValidIntPointer(iter,2);
1594   *iter = ts->steps;
1595   PetscFunctionReturn(0);
1596 }
1597 
1598 #undef __FUNCT__
1599 #define __FUNCT__ "TSSetInitialTimeStep"
1600 /*@
1601    TSSetInitialTimeStep - Sets the initial timestep to be used,
1602    as well as the initial time.
1603 
1604    Logically Collective on TS
1605 
1606    Input Parameters:
1607 +  ts - the TS context obtained from TSCreate()
1608 .  initial_time - the initial time
1609 -  time_step - the size of the timestep
1610 
1611    Level: intermediate
1612 
1613 .seealso: TSSetTimeStep(), TSGetTimeStep()
1614 
1615 .keywords: TS, set, initial, timestep
1616 @*/
1617 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1618 {
1619   PetscErrorCode ierr;
1620 
1621   PetscFunctionBegin;
1622   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1623   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1624   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1625   PetscFunctionReturn(0);
1626 }
1627 
1628 #undef __FUNCT__
1629 #define __FUNCT__ "TSSetTimeStep"
1630 /*@
1631    TSSetTimeStep - Allows one to reset the timestep at any time,
1632    useful for simple pseudo-timestepping codes.
1633 
1634    Logically Collective on TS
1635 
1636    Input Parameters:
1637 +  ts - the TS context obtained from TSCreate()
1638 -  time_step - the size of the timestep
1639 
1640    Level: intermediate
1641 
1642 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1643 
1644 .keywords: TS, set, timestep
1645 @*/
1646 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1647 {
1648   PetscFunctionBegin;
1649   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1650   PetscValidLogicalCollectiveReal(ts,time_step,2);
1651   ts->time_step      = time_step;
1652   ts->time_step_orig = time_step;
1653   PetscFunctionReturn(0);
1654 }
1655 
1656 #undef __FUNCT__
1657 #define __FUNCT__ "TSSetExactFinalTime"
1658 /*@
1659    TSSetExactFinalTime - Determines whether to adapt the final time step to
1660      match the exact final time, interpolate solution to the exact final time,
1661      or just return at the final time TS computed.
1662 
1663   Logically Collective on TS
1664 
1665    Input Parameter:
1666 +   ts - the time-step context
1667 -   eftopt - exact final time option
1668 
1669    Level: beginner
1670 
1671 .seealso: TSExactFinalTimeOption
1672 @*/
1673 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1674 {
1675   PetscFunctionBegin;
1676   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1677   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1678   ts->exact_final_time = eftopt;
1679   PetscFunctionReturn(0);
1680 }
1681 
1682 #undef __FUNCT__
1683 #define __FUNCT__ "TSGetTimeStep"
1684 /*@
1685    TSGetTimeStep - Gets the current timestep size.
1686 
1687    Not Collective
1688 
1689    Input Parameter:
1690 .  ts - the TS context obtained from TSCreate()
1691 
1692    Output Parameter:
1693 .  dt - the current timestep size
1694 
1695    Level: intermediate
1696 
1697 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1698 
1699 .keywords: TS, get, timestep
1700 @*/
1701 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1702 {
1703   PetscFunctionBegin;
1704   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1705   PetscValidRealPointer(dt,2);
1706   *dt = ts->time_step;
1707   PetscFunctionReturn(0);
1708 }
1709 
1710 #undef __FUNCT__
1711 #define __FUNCT__ "TSGetSolution"
1712 /*@
1713    TSGetSolution - Returns the solution at the present timestep. It
1714    is valid to call this routine inside the function that you are evaluating
1715    in order to move to the new timestep. This vector not changed until
1716    the solution at the next timestep has been calculated.
1717 
1718    Not Collective, but Vec returned is parallel if TS is parallel
1719 
1720    Input Parameter:
1721 .  ts - the TS context obtained from TSCreate()
1722 
1723    Output Parameter:
1724 .  v - the vector containing the solution
1725 
1726    Level: intermediate
1727 
1728 .seealso: TSGetTimeStep()
1729 
1730 .keywords: TS, timestep, get, solution
1731 @*/
1732 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1733 {
1734   PetscFunctionBegin;
1735   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1736   PetscValidPointer(v,2);
1737   *v = ts->vec_sol;
1738   PetscFunctionReturn(0);
1739 }
1740 
1741 #undef __FUNCT__
1742 #define __FUNCT__ "TSGetCostGradients"
1743 /*@
1744    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
1745 
1746    Not Collective, but Vec returned is parallel if TS is parallel
1747 
1748    Input Parameter:
1749 .  ts - the TS context obtained from TSCreate()
1750 
1751    Output Parameter:
1752 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
1753 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
1754 
1755    Level: intermediate
1756 
1757 .seealso: TSGetTimeStep()
1758 
1759 .keywords: TS, timestep, get, sensitivity
1760 @*/
1761 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
1762 {
1763   PetscFunctionBegin;
1764   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1765   if (numcost) *numcost = ts->numcost;
1766   if (lambda)  *lambda  = ts->vecs_sensi;
1767   if (mu)      *mu      = ts->vecs_sensip;
1768   PetscFunctionReturn(0);
1769 }
1770 
1771 /* ----- Routines to initialize and destroy a timestepper ---- */
1772 #undef __FUNCT__
1773 #define __FUNCT__ "TSSetProblemType"
1774 /*@
1775   TSSetProblemType - Sets the type of problem to be solved.
1776 
1777   Not collective
1778 
1779   Input Parameters:
1780 + ts   - The TS
1781 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1782 .vb
1783          U_t - A U = 0      (linear)
1784          U_t - A(t) U = 0   (linear)
1785          F(t,U,U_t) = 0     (nonlinear)
1786 .ve
1787 
1788    Level: beginner
1789 
1790 .keywords: TS, problem type
1791 .seealso: TSSetUp(), TSProblemType, TS
1792 @*/
1793 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1794 {
1795   PetscErrorCode ierr;
1796 
1797   PetscFunctionBegin;
1798   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1799   ts->problem_type = type;
1800   if (type == TS_LINEAR) {
1801     SNES snes;
1802     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1803     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1804   }
1805   PetscFunctionReturn(0);
1806 }
1807 
1808 #undef __FUNCT__
1809 #define __FUNCT__ "TSGetProblemType"
1810 /*@C
1811   TSGetProblemType - Gets the type of problem to be solved.
1812 
1813   Not collective
1814 
1815   Input Parameter:
1816 . ts   - The TS
1817 
1818   Output Parameter:
1819 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1820 .vb
1821          M U_t = A U
1822          M(t) U_t = A(t) U
1823          F(t,U,U_t)
1824 .ve
1825 
1826    Level: beginner
1827 
1828 .keywords: TS, problem type
1829 .seealso: TSSetUp(), TSProblemType, TS
1830 @*/
1831 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1832 {
1833   PetscFunctionBegin;
1834   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1835   PetscValidIntPointer(type,2);
1836   *type = ts->problem_type;
1837   PetscFunctionReturn(0);
1838 }
1839 
1840 #undef __FUNCT__
1841 #define __FUNCT__ "TSSetUp"
1842 /*@
1843    TSSetUp - Sets up the internal data structures for the later use
1844    of a timestepper.
1845 
1846    Collective on TS
1847 
1848    Input Parameter:
1849 .  ts - the TS context obtained from TSCreate()
1850 
1851    Notes:
1852    For basic use of the TS solvers the user need not explicitly call
1853    TSSetUp(), since these actions will automatically occur during
1854    the call to TSStep().  However, if one wishes to control this
1855    phase separately, TSSetUp() should be called after TSCreate()
1856    and optional routines of the form TSSetXXX(), but before TSStep().
1857 
1858    Level: advanced
1859 
1860 .keywords: TS, timestep, setup
1861 
1862 .seealso: TSCreate(), TSStep(), TSDestroy()
1863 @*/
1864 PetscErrorCode  TSSetUp(TS ts)
1865 {
1866   PetscErrorCode ierr;
1867   DM             dm;
1868   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1869   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1870   TSIJacobian    ijac;
1871   TSRHSJacobian  rhsjac;
1872 
1873   PetscFunctionBegin;
1874   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1875   if (ts->setupcalled) PetscFunctionReturn(0);
1876 
1877   ts->total_steps = 0;
1878   if (!((PetscObject)ts)->type_name) {
1879     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1880   }
1881 
1882   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1883 
1884 
1885   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1886 
1887   if (ts->rhsjacobian.reuse) {
1888     Mat Amat,Pmat;
1889     SNES snes;
1890     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1891     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1892     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1893      * have displaced the RHS matrix */
1894     if (Amat == ts->Arhs) {
1895       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1896       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1897       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1898     }
1899     if (Pmat == ts->Brhs) {
1900       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1901       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1902       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1903     }
1904   }
1905   if (ts->ops->setup) {
1906     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1907   }
1908 
1909   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1910    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1911    */
1912   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1913   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1914   if (!func) {
1915     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1916   }
1917   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1918      Otherwise, the SNES will use coloring internally to form the Jacobian.
1919    */
1920   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1921   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1922   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1923   if (!jac && (ijac || rhsjac)) {
1924     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1925   }
1926   ts->setupcalled = PETSC_TRUE;
1927   PetscFunctionReturn(0);
1928 }
1929 
1930 #undef __FUNCT__
1931 #define __FUNCT__ "TSAdjointSetUp"
1932 /*@
1933    TSAdjointSetUp - Sets up the internal data structures for the later use
1934    of an adjoint solver
1935 
1936    Collective on TS
1937 
1938    Input Parameter:
1939 .  ts - the TS context obtained from TSCreate()
1940 
1941    Level: advanced
1942 
1943 .keywords: TS, timestep, setup
1944 
1945 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
1946 @*/
1947 PetscErrorCode  TSAdjointSetUp(TS ts)
1948 {
1949   PetscErrorCode ierr;
1950 
1951   PetscFunctionBegin;
1952   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1953   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
1954   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
1955 
1956   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
1957     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
1958     if (ts->vecs_sensip){
1959       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
1960     }
1961   }
1962 
1963   if (ts->ops->adjointsetup) {
1964     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
1965   }
1966   ts->adjointsetupcalled = PETSC_TRUE;
1967   PetscFunctionReturn(0);
1968 }
1969 
1970 #undef __FUNCT__
1971 #define __FUNCT__ "TSReset"
1972 /*@
1973    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1974 
1975    Collective on TS
1976 
1977    Input Parameter:
1978 .  ts - the TS context obtained from TSCreate()
1979 
1980    Level: beginner
1981 
1982 .keywords: TS, timestep, reset
1983 
1984 .seealso: TSCreate(), TSSetup(), TSDestroy()
1985 @*/
1986 PetscErrorCode  TSReset(TS ts)
1987 {
1988   PetscErrorCode ierr;
1989 
1990   PetscFunctionBegin;
1991   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1992 
1993   if (ts->ops->reset) {
1994     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1995   }
1996   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1997   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
1998 
1999   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2000   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2001   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2002   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2003   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2004   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2005   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2006 
2007  if (ts->vec_costintegral) {
2008     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2009     if (ts->vecs_drdp){
2010       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2011     }
2012   }
2013   ts->vecs_sensi  = NULL;
2014   ts->vecs_sensip = NULL;
2015   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2016   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2017   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2018   ts->setupcalled = PETSC_FALSE;
2019   PetscFunctionReturn(0);
2020 }
2021 
2022 #undef __FUNCT__
2023 #define __FUNCT__ "TSDestroy"
2024 /*@
2025    TSDestroy - Destroys the timestepper context that was created
2026    with TSCreate().
2027 
2028    Collective on TS
2029 
2030    Input Parameter:
2031 .  ts - the TS context obtained from TSCreate()
2032 
2033    Level: beginner
2034 
2035 .keywords: TS, timestepper, destroy
2036 
2037 .seealso: TSCreate(), TSSetUp(), TSSolve()
2038 @*/
2039 PetscErrorCode  TSDestroy(TS *ts)
2040 {
2041   PetscErrorCode ierr;
2042 
2043   PetscFunctionBegin;
2044   if (!*ts) PetscFunctionReturn(0);
2045   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2046   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2047 
2048   ierr = TSReset((*ts));CHKERRQ(ierr);
2049 
2050   /* if memory was published with SAWs then destroy it */
2051   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2052   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2053 
2054   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2055 
2056   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2057   if ((*ts)->event) {
2058     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2059   }
2060   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2061   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2062   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2063   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2064 
2065   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2066   PetscFunctionReturn(0);
2067 }
2068 
2069 #undef __FUNCT__
2070 #define __FUNCT__ "TSGetSNES"
2071 /*@
2072    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2073    a TS (timestepper) context. Valid only for nonlinear problems.
2074 
2075    Not Collective, but SNES is parallel if TS is parallel
2076 
2077    Input Parameter:
2078 .  ts - the TS context obtained from TSCreate()
2079 
2080    Output Parameter:
2081 .  snes - the nonlinear solver context
2082 
2083    Notes:
2084    The user can then directly manipulate the SNES context to set various
2085    options, etc.  Likewise, the user can then extract and manipulate the
2086    KSP, KSP, and PC contexts as well.
2087 
2088    TSGetSNES() does not work for integrators that do not use SNES; in
2089    this case TSGetSNES() returns NULL in snes.
2090 
2091    Level: beginner
2092 
2093 .keywords: timestep, get, SNES
2094 @*/
2095 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2096 {
2097   PetscErrorCode ierr;
2098 
2099   PetscFunctionBegin;
2100   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2101   PetscValidPointer(snes,2);
2102   if (!ts->snes) {
2103     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2104     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2105     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2106     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2107     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2108     if (ts->problem_type == TS_LINEAR) {
2109       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2110     }
2111   }
2112   *snes = ts->snes;
2113   PetscFunctionReturn(0);
2114 }
2115 
2116 #undef __FUNCT__
2117 #define __FUNCT__ "TSSetSNES"
2118 /*@
2119    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2120 
2121    Collective
2122 
2123    Input Parameter:
2124 +  ts - the TS context obtained from TSCreate()
2125 -  snes - the nonlinear solver context
2126 
2127    Notes:
2128    Most users should have the TS created by calling TSGetSNES()
2129 
2130    Level: developer
2131 
2132 .keywords: timestep, set, SNES
2133 @*/
2134 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2135 {
2136   PetscErrorCode ierr;
2137   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2138 
2139   PetscFunctionBegin;
2140   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2141   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2142   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2143   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2144 
2145   ts->snes = snes;
2146 
2147   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2148   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2149   if (func == SNESTSFormJacobian) {
2150     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2151   }
2152   PetscFunctionReturn(0);
2153 }
2154 
2155 #undef __FUNCT__
2156 #define __FUNCT__ "TSGetKSP"
2157 /*@
2158    TSGetKSP - Returns the KSP (linear solver) associated with
2159    a TS (timestepper) context.
2160 
2161    Not Collective, but KSP is parallel if TS is parallel
2162 
2163    Input Parameter:
2164 .  ts - the TS context obtained from TSCreate()
2165 
2166    Output Parameter:
2167 .  ksp - the nonlinear solver context
2168 
2169    Notes:
2170    The user can then directly manipulate the KSP context to set various
2171    options, etc.  Likewise, the user can then extract and manipulate the
2172    KSP and PC contexts as well.
2173 
2174    TSGetKSP() does not work for integrators that do not use KSP;
2175    in this case TSGetKSP() returns NULL in ksp.
2176 
2177    Level: beginner
2178 
2179 .keywords: timestep, get, KSP
2180 @*/
2181 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2182 {
2183   PetscErrorCode ierr;
2184   SNES           snes;
2185 
2186   PetscFunctionBegin;
2187   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2188   PetscValidPointer(ksp,2);
2189   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2190   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2191   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2192   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2193   PetscFunctionReturn(0);
2194 }
2195 
2196 /* ----------- Routines to set solver parameters ---------- */
2197 
2198 #undef __FUNCT__
2199 #define __FUNCT__ "TSGetDuration"
2200 /*@
2201    TSGetDuration - Gets the maximum number of timesteps to use and
2202    maximum time for iteration.
2203 
2204    Not Collective
2205 
2206    Input Parameters:
2207 +  ts       - the TS context obtained from TSCreate()
2208 .  maxsteps - maximum number of iterations to use, or NULL
2209 -  maxtime  - final time to iterate to, or NULL
2210 
2211    Level: intermediate
2212 
2213 .keywords: TS, timestep, get, maximum, iterations, time
2214 @*/
2215 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2216 {
2217   PetscFunctionBegin;
2218   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2219   if (maxsteps) {
2220     PetscValidIntPointer(maxsteps,2);
2221     *maxsteps = ts->max_steps;
2222   }
2223   if (maxtime) {
2224     PetscValidScalarPointer(maxtime,3);
2225     *maxtime = ts->max_time;
2226   }
2227   PetscFunctionReturn(0);
2228 }
2229 
2230 #undef __FUNCT__
2231 #define __FUNCT__ "TSSetDuration"
2232 /*@
2233    TSSetDuration - Sets the maximum number of timesteps to use and
2234    maximum time for iteration.
2235 
2236    Logically Collective on TS
2237 
2238    Input Parameters:
2239 +  ts - the TS context obtained from TSCreate()
2240 .  maxsteps - maximum number of iterations to use
2241 -  maxtime - final time to iterate to
2242 
2243    Options Database Keys:
2244 .  -ts_max_steps <maxsteps> - Sets maxsteps
2245 .  -ts_final_time <maxtime> - Sets maxtime
2246 
2247    Notes:
2248    The default maximum number of iterations is 5000. Default time is 5.0
2249 
2250    Level: intermediate
2251 
2252 .keywords: TS, timestep, set, maximum, iterations
2253 
2254 .seealso: TSSetExactFinalTime()
2255 @*/
2256 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2257 {
2258   PetscFunctionBegin;
2259   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2260   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2261   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2262   if (maxsteps >= 0) ts->max_steps = maxsteps;
2263   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2264   PetscFunctionReturn(0);
2265 }
2266 
2267 #undef __FUNCT__
2268 #define __FUNCT__ "TSSetSolution"
2269 /*@
2270    TSSetSolution - Sets the initial solution vector
2271    for use by the TS routines.
2272 
2273    Logically Collective on TS and Vec
2274 
2275    Input Parameters:
2276 +  ts - the TS context obtained from TSCreate()
2277 -  u - the solution vector
2278 
2279    Level: beginner
2280 
2281 .keywords: TS, timestep, set, solution, initial conditions
2282 @*/
2283 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2284 {
2285   PetscErrorCode ierr;
2286   DM             dm;
2287 
2288   PetscFunctionBegin;
2289   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2290   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2291   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2292   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2293 
2294   ts->vec_sol = u;
2295 
2296   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2297   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2298   PetscFunctionReturn(0);
2299 }
2300 
2301 #undef __FUNCT__
2302 #define __FUNCT__ "TSAdjointSetSteps"
2303 /*@
2304    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2305 
2306    Logically Collective on TS
2307 
2308    Input Parameters:
2309 +  ts - the TS context obtained from TSCreate()
2310 .  steps - number of steps to use
2311 
2312    Level: intermediate
2313 
2314    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2315           so as to integrate back to less than the original timestep
2316 
2317 .keywords: TS, timestep, set, maximum, iterations
2318 
2319 .seealso: TSSetExactFinalTime()
2320 @*/
2321 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2322 {
2323   PetscFunctionBegin;
2324   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2325   PetscValidLogicalCollectiveInt(ts,steps,2);
2326   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2327   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2328   ts->adjoint_max_steps = steps;
2329   PetscFunctionReturn(0);
2330 }
2331 
2332 #undef __FUNCT__
2333 #define __FUNCT__ "TSSetCostGradients"
2334 /*@
2335    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2336       for use by the TSAdjoint routines.
2337 
2338    Logically Collective on TS and Vec
2339 
2340    Input Parameters:
2341 +  ts - the TS context obtained from TSCreate()
2342 .  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
2343 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2344 
2345    Level: beginner
2346 
2347    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2348 
2349 .keywords: TS, timestep, set, sensitivity, initial conditions
2350 @*/
2351 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2352 {
2353   PetscFunctionBegin;
2354   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2355   PetscValidPointer(lambda,2);
2356   ts->vecs_sensi  = lambda;
2357   ts->vecs_sensip = mu;
2358   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostIntegrand");
2359   ts->numcost  = numcost;
2360   PetscFunctionReturn(0);
2361 }
2362 
2363 #undef __FUNCT__
2364 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2365 /*@C
2366   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.
2367 
2368   Logically Collective on TS
2369 
2370   Input Parameters:
2371 + ts   - The TS context obtained from TSCreate()
2372 - func - The function
2373 
2374   Calling sequence of func:
2375 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2376 +   t - current timestep
2377 .   y - input vector (current ODE solution)
2378 .   A - output matrix
2379 -   ctx - [optional] user-defined function context
2380 
2381   Level: intermediate
2382 
2383   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
2384 
2385 .keywords: TS, sensitivity
2386 .seealso:
2387 @*/
2388 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2389 {
2390   PetscErrorCode ierr;
2391 
2392   PetscFunctionBegin;
2393   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2394   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2395 
2396   ts->rhsjacobianp    = func;
2397   ts->rhsjacobianpctx = ctx;
2398   if(Amat) {
2399     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2400     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2401     ts->Jacp = Amat;
2402   }
2403   PetscFunctionReturn(0);
2404 }
2405 
2406 #undef __FUNCT__
2407 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2408 /*@C
2409   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2410 
2411   Collective on TS
2412 
2413   Input Parameters:
2414 . ts   - The TS context obtained from TSCreate()
2415 
2416   Level: developer
2417 
2418 .keywords: TS, sensitivity
2419 .seealso: TSAdjointSetRHSJacobian()
2420 @*/
2421 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2422 {
2423   PetscErrorCode ierr;
2424 
2425   PetscFunctionBegin;
2426   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2427   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2428   PetscValidPointer(Amat,4);
2429 
2430   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2431   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2432   PetscStackPop;
2433   PetscFunctionReturn(0);
2434 }
2435 
2436 #undef __FUNCT__
2437 #define __FUNCT__ "TSSetCostIntegrand"
2438 /*@C
2439     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2440 
2441     Logically Collective on TS
2442 
2443     Input Parameters:
2444 +   ts - the TS context obtained from TSCreate()
2445 .   numcost - number of gradients to be computed, this is the number of cost functions
2446 .   rf - routine for evaluating the integrand function
2447 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2448 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2449 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2450 
2451     Calling sequence of rf:
2452 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2453 
2454 +   t - current timestep
2455 .   y - input vector
2456 .   f - function result; one vector entry for each cost function
2457 -   ctx - [optional] user-defined function context
2458 
2459    Calling sequence of drdyf:
2460 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2461 
2462    Calling sequence of drdpf:
2463 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2464 
2465     Level: intermediate
2466 
2467     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2468 
2469 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2470 
2471 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2472 @*/
2473 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost, PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2474                                                                   PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2475                                                                   PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2476 {
2477   PetscErrorCode ierr;
2478 
2479   PetscFunctionBegin;
2480   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2481   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostGradients()");
2482   if (!ts->numcost) ts->numcost=numcost;
2483 
2484   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2485   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2486   ts->costintegrand    = rf;
2487   ts->costintegrandctx = ctx;
2488   ts->drdyfunction     = drdyf;
2489   ts->drdpfunction     = drdpf;
2490   PetscFunctionReturn(0);
2491 }
2492 
2493 #undef __FUNCT__
2494 #define __FUNCT__ "TSGetCostIntegral"
2495 /*@
2496    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
2497    It is valid to call the routine after a backward run.
2498 
2499    Not Collective
2500 
2501    Input Parameter:
2502 .  ts - the TS context obtained from TSCreate()
2503 
2504    Output Parameter:
2505 .  v - the vector containing the integrals for each cost function
2506 
2507    Level: intermediate
2508 
2509 .seealso: TSSetCostIntegrand()
2510 
2511 .keywords: TS, sensitivity analysis
2512 @*/
2513 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
2514 {
2515   PetscFunctionBegin;
2516   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2517   PetscValidPointer(v,2);
2518   *v = ts->vec_costintegral;
2519   PetscFunctionReturn(0);
2520 }
2521 
2522 #undef __FUNCT__
2523 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2524 /*@
2525    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2526 
2527    Input Parameters:
2528 +  ts - the TS context
2529 .  t - current time
2530 -  y - state vector, i.e. current solution
2531 
2532    Output Parameter:
2533 .  q - vector of size numcost to hold the outputs
2534 
2535    Note:
2536    Most users should not need to explicitly call this routine, as it
2537    is used internally within the sensitivity analysis context.
2538 
2539    Level: developer
2540 
2541 .keywords: TS, compute
2542 
2543 .seealso: TSSetCostIntegrand()
2544 @*/
2545 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
2546 {
2547   PetscErrorCode ierr;
2548 
2549   PetscFunctionBegin;
2550   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2551   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2552   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2553 
2554   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2555   if (ts->costintegrand) {
2556     PetscStackPush("TS user integrand in the cost function");
2557     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
2558     PetscStackPop;
2559   } else {
2560     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2561   }
2562 
2563   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2564   PetscFunctionReturn(0);
2565 }
2566 
2567 #undef __FUNCT__
2568 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2569 /*@
2570   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2571 
2572   Collective on TS
2573 
2574   Input Parameters:
2575 . ts   - The TS context obtained from TSCreate()
2576 
2577   Notes:
2578   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2579   so most users would not generally call this routine themselves.
2580 
2581   Level: developer
2582 
2583 .keywords: TS, sensitivity
2584 .seealso: TSAdjointComputeDRDYFunction()
2585 @*/
2586 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
2587 {
2588   PetscErrorCode ierr;
2589 
2590   PetscFunctionBegin;
2591   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2592   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2593 
2594   PetscStackPush("TS user DRDY function for sensitivity analysis");
2595   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2596   PetscStackPop;
2597   PetscFunctionReturn(0);
2598 }
2599 
2600 #undef __FUNCT__
2601 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2602 /*@
2603   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2604 
2605   Collective on TS
2606 
2607   Input Parameters:
2608 . ts   - The TS context obtained from TSCreate()
2609 
2610   Notes:
2611   TSDRDPFunction() is typically used for sensitivity implementation,
2612   so most users would not generally call this routine themselves.
2613 
2614   Level: developer
2615 
2616 .keywords: TS, sensitivity
2617 .seealso: TSAdjointSetDRDPFunction()
2618 @*/
2619 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
2620 {
2621   PetscErrorCode ierr;
2622 
2623   PetscFunctionBegin;
2624   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2625   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2626 
2627   PetscStackPush("TS user DRDP function for sensitivity analysis");
2628   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2629   PetscStackPop;
2630   PetscFunctionReturn(0);
2631 }
2632 
2633 #undef __FUNCT__
2634 #define __FUNCT__ "TSSetPreStep"
2635 /*@C
2636   TSSetPreStep - Sets the general-purpose function
2637   called once at the beginning of each time step.
2638 
2639   Logically Collective on TS
2640 
2641   Input Parameters:
2642 + ts   - The TS context obtained from TSCreate()
2643 - func - The function
2644 
2645   Calling sequence of func:
2646 . func (TS ts);
2647 
2648   Level: intermediate
2649 
2650   Note:
2651   If a step is rejected, TSStep() will call this routine again before each attempt.
2652   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2653   size of the step being attempted can be obtained using TSGetTimeStep().
2654 
2655 .keywords: TS, timestep
2656 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2657 @*/
2658 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2659 {
2660   PetscFunctionBegin;
2661   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2662   ts->prestep = func;
2663   PetscFunctionReturn(0);
2664 }
2665 
2666 #undef __FUNCT__
2667 #define __FUNCT__ "TSPreStep"
2668 /*@
2669   TSPreStep - Runs the user-defined pre-step function.
2670 
2671   Collective on TS
2672 
2673   Input Parameters:
2674 . ts   - The TS context obtained from TSCreate()
2675 
2676   Notes:
2677   TSPreStep() is typically used within time stepping implementations,
2678   so most users would not generally call this routine themselves.
2679 
2680   Level: developer
2681 
2682 .keywords: TS, timestep
2683 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2684 @*/
2685 PetscErrorCode  TSPreStep(TS ts)
2686 {
2687   PetscErrorCode ierr;
2688 
2689   PetscFunctionBegin;
2690   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2691   if (ts->prestep) {
2692     PetscStackCallStandard((*ts->prestep),(ts));
2693   }
2694   PetscFunctionReturn(0);
2695 }
2696 
2697 #undef __FUNCT__
2698 #define __FUNCT__ "TSSetPreStage"
2699 /*@C
2700   TSSetPreStage - Sets the general-purpose function
2701   called once at the beginning of each stage.
2702 
2703   Logically Collective on TS
2704 
2705   Input Parameters:
2706 + ts   - The TS context obtained from TSCreate()
2707 - func - The function
2708 
2709   Calling sequence of func:
2710 . PetscErrorCode func(TS ts, PetscReal stagetime);
2711 
2712   Level: intermediate
2713 
2714   Note:
2715   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2716   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2717   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2718 
2719 .keywords: TS, timestep
2720 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2721 @*/
2722 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2723 {
2724   PetscFunctionBegin;
2725   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2726   ts->prestage = func;
2727   PetscFunctionReturn(0);
2728 }
2729 
2730 #undef __FUNCT__
2731 #define __FUNCT__ "TSSetPostStage"
2732 /*@C
2733   TSSetPostStage - Sets the general-purpose function
2734   called once at the end of each stage.
2735 
2736   Logically Collective on TS
2737 
2738   Input Parameters:
2739 + ts   - The TS context obtained from TSCreate()
2740 - func - The function
2741 
2742   Calling sequence of func:
2743 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2744 
2745   Level: intermediate
2746 
2747   Note:
2748   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2749   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2750   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2751 
2752 .keywords: TS, timestep
2753 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2754 @*/
2755 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2756 {
2757   PetscFunctionBegin;
2758   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2759   ts->poststage = func;
2760   PetscFunctionReturn(0);
2761 }
2762 
2763 #undef __FUNCT__
2764 #define __FUNCT__ "TSPreStage"
2765 /*@
2766   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2767 
2768   Collective on TS
2769 
2770   Input Parameters:
2771 . ts          - The TS context obtained from TSCreate()
2772   stagetime   - The absolute time of the current stage
2773 
2774   Notes:
2775   TSPreStage() is typically used within time stepping implementations,
2776   most users would not generally call this routine themselves.
2777 
2778   Level: developer
2779 
2780 .keywords: TS, timestep
2781 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2782 @*/
2783 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2784 {
2785   PetscErrorCode ierr;
2786 
2787   PetscFunctionBegin;
2788   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2789   if (ts->prestage) {
2790     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2791   }
2792   PetscFunctionReturn(0);
2793 }
2794 
2795 #undef __FUNCT__
2796 #define __FUNCT__ "TSPostStage"
2797 /*@
2798   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2799 
2800   Collective on TS
2801 
2802   Input Parameters:
2803 . ts          - The TS context obtained from TSCreate()
2804   stagetime   - The absolute time of the current stage
2805   stageindex  - Stage number
2806   Y           - Array of vectors (of size = total number
2807                 of stages) with the stage solutions
2808 
2809   Notes:
2810   TSPostStage() is typically used within time stepping implementations,
2811   most users would not generally call this routine themselves.
2812 
2813   Level: developer
2814 
2815 .keywords: TS, timestep
2816 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2817 @*/
2818 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2819 {
2820   PetscErrorCode ierr;
2821 
2822   PetscFunctionBegin;
2823   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2824   if (ts->poststage) {
2825     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2826   }
2827   PetscFunctionReturn(0);
2828 }
2829 
2830 #undef __FUNCT__
2831 #define __FUNCT__ "TSSetPostStep"
2832 /*@C
2833   TSSetPostStep - Sets the general-purpose function
2834   called once at the end of each time step.
2835 
2836   Logically Collective on TS
2837 
2838   Input Parameters:
2839 + ts   - The TS context obtained from TSCreate()
2840 - func - The function
2841 
2842   Calling sequence of func:
2843 $ func (TS ts);
2844 
2845   Level: intermediate
2846 
2847 .keywords: TS, timestep
2848 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2849 @*/
2850 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2851 {
2852   PetscFunctionBegin;
2853   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2854   ts->poststep = func;
2855   PetscFunctionReturn(0);
2856 }
2857 
2858 #undef __FUNCT__
2859 #define __FUNCT__ "TSPostStep"
2860 /*@
2861   TSPostStep - Runs the user-defined post-step function.
2862 
2863   Collective on TS
2864 
2865   Input Parameters:
2866 . ts   - The TS context obtained from TSCreate()
2867 
2868   Notes:
2869   TSPostStep() is typically used within time stepping implementations,
2870   so most users would not generally call this routine themselves.
2871 
2872   Level: developer
2873 
2874 .keywords: TS, timestep
2875 @*/
2876 PetscErrorCode  TSPostStep(TS ts)
2877 {
2878   PetscErrorCode ierr;
2879 
2880   PetscFunctionBegin;
2881   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2882   if (ts->poststep) {
2883     PetscStackCallStandard((*ts->poststep),(ts));
2884   }
2885   PetscFunctionReturn(0);
2886 }
2887 
2888 /* ------------ Routines to set performance monitoring options ----------- */
2889 
2890 #undef __FUNCT__
2891 #define __FUNCT__ "TSMonitorSet"
2892 /*@C
2893    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2894    timestep to display the iteration's  progress.
2895 
2896    Logically Collective on TS
2897 
2898    Input Parameters:
2899 +  ts - the TS context obtained from TSCreate()
2900 .  monitor - monitoring routine
2901 .  mctx - [optional] user-defined context for private data for the
2902              monitor routine (use NULL if no context is desired)
2903 -  monitordestroy - [optional] routine that frees monitor context
2904           (may be NULL)
2905 
2906    Calling sequence of monitor:
2907 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2908 
2909 +    ts - the TS context
2910 .    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
2911                                been interpolated to)
2912 .    time - current time
2913 .    u - current iterate
2914 -    mctx - [optional] monitoring context
2915 
2916    Notes:
2917    This routine adds an additional monitor to the list of monitors that
2918    already has been loaded.
2919 
2920    Fortran notes: Only a single monitor function can be set for each TS object
2921 
2922    Level: intermediate
2923 
2924 .keywords: TS, timestep, set, monitor
2925 
2926 .seealso: TSMonitorDefault(), TSMonitorCancel()
2927 @*/
2928 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2929 {
2930   PetscFunctionBegin;
2931   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2932   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2933   ts->monitor[ts->numbermonitors]          = monitor;
2934   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2935   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2936   PetscFunctionReturn(0);
2937 }
2938 
2939 #undef __FUNCT__
2940 #define __FUNCT__ "TSMonitorCancel"
2941 /*@C
2942    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2943 
2944    Logically Collective on TS
2945 
2946    Input Parameters:
2947 .  ts - the TS context obtained from TSCreate()
2948 
2949    Notes:
2950    There is no way to remove a single, specific monitor.
2951 
2952    Level: intermediate
2953 
2954 .keywords: TS, timestep, set, monitor
2955 
2956 .seealso: TSMonitorDefault(), TSMonitorSet()
2957 @*/
2958 PetscErrorCode  TSMonitorCancel(TS ts)
2959 {
2960   PetscErrorCode ierr;
2961   PetscInt       i;
2962 
2963   PetscFunctionBegin;
2964   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2965   for (i=0; i<ts->numbermonitors; i++) {
2966     if (ts->monitordestroy[i]) {
2967       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2968     }
2969   }
2970   ts->numbermonitors = 0;
2971   PetscFunctionReturn(0);
2972 }
2973 
2974 #undef __FUNCT__
2975 #define __FUNCT__ "TSMonitorDefault"
2976 /*@
2977    TSMonitorDefault - Sets the Default monitor
2978 
2979    Level: intermediate
2980 
2981 .keywords: TS, set, monitor
2982 
2983 .seealso: TSMonitorDefault(), TSMonitorSet()
2984 @*/
2985 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2986 {
2987   PetscErrorCode ierr;
2988   PetscViewer    viewer =  (PetscViewer) dummy;
2989 
2990   PetscFunctionBegin;
2991   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
2992   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2993   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
2994   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2995   PetscFunctionReturn(0);
2996 }
2997 
2998 #undef __FUNCT__
2999 #define __FUNCT__ "TSAdjointMonitorSet"
3000 /*@C
3001    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3002    timestep to display the iteration's  progress.
3003 
3004    Logically Collective on TS
3005 
3006    Input Parameters:
3007 +  ts - the TS context obtained from TSCreate()
3008 .  adjointmonitor - monitoring routine
3009 .  adjointmctx - [optional] user-defined context for private data for the
3010              monitor routine (use NULL if no context is desired)
3011 -  adjointmonitordestroy - [optional] routine that frees monitor context
3012           (may be NULL)
3013 
3014    Calling sequence of monitor:
3015 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3016 
3017 +    ts - the TS context
3018 .    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
3019                                been interpolated to)
3020 .    time - current time
3021 .    u - current iterate
3022 .    numcost - number of cost functionos
3023 .    lambda - sensitivities to initial conditions
3024 .    mu - sensitivities to parameters
3025 -    adjointmctx - [optional] adjoint monitoring context
3026 
3027    Notes:
3028    This routine adds an additional monitor to the list of monitors that
3029    already has been loaded.
3030 
3031    Fortran notes: Only a single monitor function can be set for each TS object
3032 
3033    Level: intermediate
3034 
3035 .keywords: TS, timestep, set, adjoint, monitor
3036 
3037 .seealso: TSAdjointMonitorCancel()
3038 @*/
3039 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3040 {
3041   PetscFunctionBegin;
3042   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3043   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3044   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3045   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3046   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3047   PetscFunctionReturn(0);
3048 }
3049 
3050 #undef __FUNCT__
3051 #define __FUNCT__ "TSAdjointMonitorCancel"
3052 /*@C
3053    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3054 
3055    Logically Collective on TS
3056 
3057    Input Parameters:
3058 .  ts - the TS context obtained from TSCreate()
3059 
3060    Notes:
3061    There is no way to remove a single, specific monitor.
3062 
3063    Level: intermediate
3064 
3065 .keywords: TS, timestep, set, adjoint, monitor
3066 
3067 .seealso: TSAdjointMonitorSet()
3068 @*/
3069 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3070 {
3071   PetscErrorCode ierr;
3072   PetscInt       i;
3073 
3074   PetscFunctionBegin;
3075   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3076   for (i=0; i<ts->numberadjointmonitors; i++) {
3077     if (ts->adjointmonitordestroy[i]) {
3078       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3079     }
3080   }
3081   ts->numberadjointmonitors = 0;
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 #undef __FUNCT__
3086 #define __FUNCT__ "TSSetRetainStages"
3087 /*@
3088    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
3089 
3090    Logically Collective on TS
3091 
3092    Input Argument:
3093 .  ts - time stepping context
3094 
3095    Output Argument:
3096 .  flg - PETSC_TRUE or PETSC_FALSE
3097 
3098    Level: intermediate
3099 
3100 .keywords: TS, set
3101 
3102 .seealso: TSInterpolate(), TSSetPostStep()
3103 @*/
3104 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
3105 {
3106   PetscFunctionBegin;
3107   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3108   ts->retain_stages = flg;
3109   PetscFunctionReturn(0);
3110 }
3111 
3112 #undef __FUNCT__
3113 #define __FUNCT__ "TSInterpolate"
3114 /*@
3115    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3116 
3117    Collective on TS
3118 
3119    Input Argument:
3120 +  ts - time stepping context
3121 -  t - time to interpolate to
3122 
3123    Output Argument:
3124 .  U - state at given time
3125 
3126    Notes:
3127    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
3128 
3129    Level: intermediate
3130 
3131    Developer Notes:
3132    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3133 
3134 .keywords: TS, set
3135 
3136 .seealso: TSSetRetainStages(), TSSetPostStep()
3137 @*/
3138 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3139 {
3140   PetscErrorCode ierr;
3141 
3142   PetscFunctionBegin;
3143   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3144   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3145   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);
3146   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3147   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3148   PetscFunctionReturn(0);
3149 }
3150 
3151 #undef __FUNCT__
3152 #define __FUNCT__ "TSStep"
3153 /*@
3154    TSStep - Steps one time step
3155 
3156    Collective on TS
3157 
3158    Input Parameter:
3159 .  ts - the TS context obtained from TSCreate()
3160 
3161    Level: developer
3162 
3163    Notes:
3164    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3165 
3166    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3167    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3168 
3169    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3170    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3171 
3172 .keywords: TS, timestep, solve
3173 
3174 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3175 @*/
3176 PetscErrorCode  TSStep(TS ts)
3177 {
3178   DM               dm;
3179   PetscErrorCode   ierr;
3180   static PetscBool cite = PETSC_FALSE;
3181 
3182   PetscFunctionBegin;
3183   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3184   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3185                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3186                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3187                                 "  type        = {Preprint},\n"
3188                                 "  number      = {ANL/MCS-P5061-0114},\n"
3189                                 "  institution = {Argonne National Laboratory},\n"
3190                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3191 
3192   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3193   ierr = TSSetUp(ts);CHKERRQ(ierr);
3194 
3195   ts->reason = TS_CONVERGED_ITERATING;
3196   ts->ptime_prev = ts->ptime;
3197   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3198 
3199   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3200   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3201   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3202   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3203 
3204   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3205   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3206 
3207   if (ts->reason < 0) {
3208     if (ts->errorifstepfailed) {
3209       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]);
3210       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3211     }
3212   } else if (!ts->reason) {
3213     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3214     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3215   }
3216   ts->total_steps++;
3217   ts->steprollback = PETSC_FALSE;
3218   PetscFunctionReturn(0);
3219 }
3220 
3221 #undef __FUNCT__
3222 #define __FUNCT__ "TSAdjointStep"
3223 /*@
3224    TSAdjointStep - Steps one time step backward in the adjoint run
3225 
3226    Collective on TS
3227 
3228    Input Parameter:
3229 .  ts - the TS context obtained from TSCreate()
3230 
3231    Level: intermediate
3232 
3233 .keywords: TS, adjoint, step
3234 
3235 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3236 @*/
3237 PetscErrorCode  TSAdjointStep(TS ts)
3238 {
3239   DM               dm;
3240   PetscErrorCode   ierr;
3241 
3242   PetscFunctionBegin;
3243   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3244   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3245   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3246 
3247   ts->reason = TS_CONVERGED_ITERATING;
3248   ts->ptime_prev = ts->ptime;
3249   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3250   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts, "-ts_view_solution");CHKERRQ(ierr);
3251 
3252   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3253   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);
3254   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3255   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3256 
3257   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3258   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3259 
3260   if (ts->reason < 0) {
3261     if (ts->errorifstepfailed) {
3262       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3263         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]);
3264       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3265         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]);
3266       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3267     }
3268   } else if (!ts->reason) {
3269     if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3270     else if (ts->ptime >= ts->max_time)         ts->reason = TS_CONVERGED_TIME;
3271   }
3272   ts->total_steps--;
3273   PetscFunctionReturn(0);
3274 }
3275 
3276 #undef __FUNCT__
3277 #define __FUNCT__ "TSEvaluateStep"
3278 /*@
3279    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3280 
3281    Collective on TS
3282 
3283    Input Arguments:
3284 +  ts - time stepping context
3285 .  order - desired order of accuracy
3286 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3287 
3288    Output Arguments:
3289 .  U - state at the end of the current step
3290 
3291    Level: advanced
3292 
3293    Notes:
3294    This function cannot be called until all stages have been evaluated.
3295    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.
3296 
3297 .seealso: TSStep(), TSAdapt
3298 @*/
3299 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3300 {
3301   PetscErrorCode ierr;
3302 
3303   PetscFunctionBegin;
3304   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3305   PetscValidType(ts,1);
3306   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3307   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3308   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3309   PetscFunctionReturn(0);
3310 }
3311 
3312 
3313 #undef __FUNCT__
3314 #define __FUNCT__ "TSSolve"
3315 /*@
3316    TSSolve - Steps the requested number of timesteps.
3317 
3318    Collective on TS
3319 
3320    Input Parameter:
3321 +  ts - the TS context obtained from TSCreate()
3322 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3323 
3324    Level: beginner
3325 
3326    Notes:
3327    The final time returned by this function may be different from the time of the internally
3328    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3329    stepped over the final time.
3330 
3331 .keywords: TS, timestep, solve
3332 
3333 .seealso: TSCreate(), TSSetSolution(), TSStep()
3334 @*/
3335 PetscErrorCode TSSolve(TS ts,Vec u)
3336 {
3337   Vec               solution;
3338   PetscErrorCode    ierr;
3339 
3340   PetscFunctionBegin;
3341   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3342   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3343   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 */
3344     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3345     if (!ts->vec_sol || u == ts->vec_sol) {
3346       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3347       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3348       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3349     }
3350     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3351   } else if (u) {
3352     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3353   }
3354   ierr = TSSetUp(ts);CHKERRQ(ierr);
3355   /* reset time step and iteration counters */
3356   ts->steps             = 0;
3357   ts->ksp_its           = 0;
3358   ts->snes_its          = 0;
3359   ts->num_snes_failures = 0;
3360   ts->reject            = 0;
3361   ts->reason            = TS_CONVERGED_ITERATING;
3362 
3363   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3364   {
3365     DM dm;
3366     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3367     ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3368   }
3369 
3370   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3371     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3372     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3373     ts->solvetime = ts->ptime;
3374   } else {
3375     /* steps the requested number of timesteps. */
3376     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3377     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3378     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3379     if (ts->vec_costintegral) ts->costintegralfwd=PETSC_TRUE;
3380     if(ts->event) {
3381       ierr = TSEventMonitorInitialize(ts);CHKERRQ(ierr);
3382     }
3383     while (!ts->reason) {
3384       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3385       ierr = TSStep(ts);CHKERRQ(ierr);
3386       if (ts->event) {
3387 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3388       }
3389       if(!ts->steprollback) {
3390 	ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3391 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3392       }
3393     }
3394     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3395       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3396       ts->solvetime = ts->max_time;
3397       solution = u;
3398     } else {
3399       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3400       ts->solvetime = ts->ptime;
3401       solution = ts->vec_sol;
3402     }
3403     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3404     ierr = VecViewFromOptions(solution,(PetscObject) ts,"-ts_view_solution");CHKERRQ(ierr);
3405   }
3406 
3407   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3408   ierr = VecViewFromOptions(ts->vec_sol,NULL,"-ts_view_solution");CHKERRQ(ierr);
3409   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3410   if (ts->adjoint_solve) {
3411     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
3412   }
3413   PetscFunctionReturn(0);
3414 }
3415 
3416 #undef __FUNCT__
3417 #define __FUNCT__ "TSAdjointSolve"
3418 /*@
3419    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3420 
3421    Collective on TS
3422 
3423    Input Parameter:
3424 .  ts - the TS context obtained from TSCreate()
3425 
3426    Options Database:
3427 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
3428 
3429    Level: intermediate
3430 
3431    Notes:
3432    This must be called after a call to TSSolve() that solves the forward problem
3433 
3434    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3435 
3436 .keywords: TS, timestep, solve
3437 
3438 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
3439 @*/
3440 PetscErrorCode TSAdjointSolve(TS ts)
3441 {
3442   PetscErrorCode    ierr;
3443 
3444   PetscFunctionBegin;
3445   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3446   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3447   /* reset time step and iteration counters */
3448   ts->steps             = 0;
3449   ts->ksp_its           = 0;
3450   ts->snes_its          = 0;
3451   ts->num_snes_failures = 0;
3452   ts->reject            = 0;
3453   ts->reason            = TS_CONVERGED_ITERATING;
3454 
3455   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3456 
3457   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3458   while (!ts->reason) {
3459     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3460     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3461     if (ts->event) {
3462       ierr = TSAdjointEventMonitor(ts);CHKERRQ(ierr);
3463     }
3464     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3465   }
3466   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3467   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3468   ts->solvetime = ts->ptime;
3469   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
3470   PetscFunctionReturn(0);
3471 }
3472 
3473 #undef __FUNCT__
3474 #define __FUNCT__ "TSMonitor"
3475 /*@
3476    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3477 
3478    Collective on TS
3479 
3480    Input Parameters:
3481 +  ts - time stepping context obtained from TSCreate()
3482 .  step - step number that has just completed
3483 .  ptime - model time of the state
3484 -  u - state at the current model time
3485 
3486    Notes:
3487    TSMonitor() is typically used within the time stepping implementations.
3488    Users might call this function when using the TSStep() interface instead of TSSolve().
3489 
3490    Level: advanced
3491 
3492 .keywords: TS, timestep
3493 @*/
3494 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3495 {
3496   PetscErrorCode ierr;
3497   PetscInt       i,n = ts->numbermonitors;
3498 
3499   PetscFunctionBegin;
3500   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3501   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3502   ierr = VecLockPush(u);CHKERRQ(ierr);
3503   for (i=0; i<n; i++) {
3504     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3505   }
3506   ierr = VecLockPop(u);CHKERRQ(ierr);
3507   PetscFunctionReturn(0);
3508 }
3509 
3510 #undef __FUNCT__
3511 #define __FUNCT__ "TSAdjointMonitor"
3512 /*@
3513    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
3514 
3515    Collective on TS
3516 
3517    Input Parameters:
3518 +  ts - time stepping context obtained from TSCreate()
3519 .  step - step number that has just completed
3520 .  ptime - model time of the state
3521 .  u - state at the current model time
3522 .  numcost - number of cost functions (dimension of lambda  or mu)
3523 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
3524 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
3525 
3526    Notes:
3527    TSAdjointMonitor() is typically used within the adjoint implementations.
3528    Users might call this function when using the TSAdjointStep() interface instead of TSAdjointSolve().
3529 
3530    Level: advanced
3531 
3532 .keywords: TS, timestep
3533 @*/
3534 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
3535 {
3536   PetscErrorCode ierr;
3537   PetscInt       i,n = ts->numberadjointmonitors;
3538 
3539   PetscFunctionBegin;
3540   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3541   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3542   ierr = VecLockPush(u);CHKERRQ(ierr);
3543   for (i=0; i<n; i++) {
3544     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3545   }
3546   ierr = VecLockPop(u);CHKERRQ(ierr);
3547   PetscFunctionReturn(0);
3548 }
3549 
3550 /* ------------------------------------------------------------------------*/
3551 #undef __FUNCT__
3552 #define __FUNCT__ "TSMonitorLGCtxCreate"
3553 /*@C
3554    TSMonitorLGCtxCreate - Creates a line graph context for use with
3555    TS to monitor the solution process graphically in various ways
3556 
3557    Collective on TS
3558 
3559    Input Parameters:
3560 +  host - the X display to open, or null for the local machine
3561 .  label - the title to put in the title bar
3562 .  x, y - the screen coordinates of the upper left coordinate of the window
3563 .  m, n - the screen width and height in pixels
3564 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3565 
3566    Output Parameter:
3567 .  ctx - the context
3568 
3569    Options Database Key:
3570 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3571 .  -ts_monitor_lg_solution -
3572 .  -ts_monitor_lg_error -
3573 .  -ts_monitor_lg_ksp_iterations -
3574 .  -ts_monitor_lg_snes_iterations -
3575 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
3576 
3577    Notes:
3578    Use TSMonitorLGCtxDestroy() to destroy.
3579 
3580    Level: intermediate
3581 
3582 .keywords: TS, monitor, line graph, residual, seealso
3583 
3584 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3585 
3586 @*/
3587 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3588 {
3589   PetscDraw      win;
3590   PetscErrorCode ierr;
3591 
3592   PetscFunctionBegin;
3593   ierr = PetscNew(ctx);CHKERRQ(ierr);
3594   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3595   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3596   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3597   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3598   ierr = PetscDrawLGSetUseMarkers((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3599   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3600   (*ctx)->howoften = howoften;
3601   PetscFunctionReturn(0);
3602 }
3603 
3604 #undef __FUNCT__
3605 #define __FUNCT__ "TSMonitorLGTimeStep"
3606 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3607 {
3608   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3609   PetscReal      x   = ptime,y;
3610   PetscErrorCode ierr;
3611 
3612   PetscFunctionBegin;
3613   if (!step) {
3614     PetscDrawAxis axis;
3615     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3616     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3617     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3618   }
3619   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3620   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3621   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3622     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3623   }
3624   PetscFunctionReturn(0);
3625 }
3626 
3627 #undef __FUNCT__
3628 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3629 /*@C
3630    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3631    with TSMonitorLGCtxCreate().
3632 
3633    Collective on TSMonitorLGCtx
3634 
3635    Input Parameter:
3636 .  ctx - the monitor context
3637 
3638    Level: intermediate
3639 
3640 .keywords: TS, monitor, line graph, destroy
3641 
3642 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3643 @*/
3644 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3645 {
3646   PetscDraw      draw;
3647   PetscErrorCode ierr;
3648 
3649   PetscFunctionBegin;
3650   if ((*ctx)->transformdestroy) {
3651     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
3652   }
3653   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3654   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3655   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3656   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
3657   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
3658   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
3659   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
3660   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3661   PetscFunctionReturn(0);
3662 }
3663 
3664 #undef __FUNCT__
3665 #define __FUNCT__ "TSGetTime"
3666 /*@
3667    TSGetTime - Gets the time of the most recently completed step.
3668 
3669    Not Collective
3670 
3671    Input Parameter:
3672 .  ts - the TS context obtained from TSCreate()
3673 
3674    Output Parameter:
3675 .  t  - the current time
3676 
3677    Level: beginner
3678 
3679    Note:
3680    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3681    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3682 
3683 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3684 
3685 .keywords: TS, get, time
3686 @*/
3687 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3688 {
3689   PetscFunctionBegin;
3690   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3691   PetscValidRealPointer(t,2);
3692   *t = ts->ptime;
3693   PetscFunctionReturn(0);
3694 }
3695 
3696 #undef __FUNCT__
3697 #define __FUNCT__ "TSGetPrevTime"
3698 /*@
3699    TSGetPrevTime - Gets the starting time of the previously completed step.
3700 
3701    Not Collective
3702 
3703    Input Parameter:
3704 .  ts - the TS context obtained from TSCreate()
3705 
3706    Output Parameter:
3707 .  t  - the previous time
3708 
3709    Level: beginner
3710 
3711 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3712 
3713 .keywords: TS, get, time
3714 @*/
3715 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3716 {
3717   PetscFunctionBegin;
3718   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3719   PetscValidRealPointer(t,2);
3720   *t = ts->ptime_prev;
3721   PetscFunctionReturn(0);
3722 }
3723 
3724 #undef __FUNCT__
3725 #define __FUNCT__ "TSSetTime"
3726 /*@
3727    TSSetTime - Allows one to reset the time.
3728 
3729    Logically Collective on TS
3730 
3731    Input Parameters:
3732 +  ts - the TS context obtained from TSCreate()
3733 -  time - the time
3734 
3735    Level: intermediate
3736 
3737 .seealso: TSGetTime(), TSSetDuration()
3738 
3739 .keywords: TS, set, time
3740 @*/
3741 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3742 {
3743   PetscFunctionBegin;
3744   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3745   PetscValidLogicalCollectiveReal(ts,t,2);
3746   ts->ptime = t;
3747   PetscFunctionReturn(0);
3748 }
3749 
3750 #undef __FUNCT__
3751 #define __FUNCT__ "TSSetOptionsPrefix"
3752 /*@C
3753    TSSetOptionsPrefix - Sets the prefix used for searching for all
3754    TS options in the database.
3755 
3756    Logically Collective on TS
3757 
3758    Input Parameter:
3759 +  ts     - The TS context
3760 -  prefix - The prefix to prepend to all option names
3761 
3762    Notes:
3763    A hyphen (-) must NOT be given at the beginning of the prefix name.
3764    The first character of all runtime options is AUTOMATICALLY the
3765    hyphen.
3766 
3767    Level: advanced
3768 
3769 .keywords: TS, set, options, prefix, database
3770 
3771 .seealso: TSSetFromOptions()
3772 
3773 @*/
3774 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3775 {
3776   PetscErrorCode ierr;
3777   SNES           snes;
3778 
3779   PetscFunctionBegin;
3780   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3781   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3782   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3783   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3784   PetscFunctionReturn(0);
3785 }
3786 
3787 
3788 #undef __FUNCT__
3789 #define __FUNCT__ "TSAppendOptionsPrefix"
3790 /*@C
3791    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3792    TS options in the database.
3793 
3794    Logically Collective on TS
3795 
3796    Input Parameter:
3797 +  ts     - The TS context
3798 -  prefix - The prefix to prepend to all option names
3799 
3800    Notes:
3801    A hyphen (-) must NOT be given at the beginning of the prefix name.
3802    The first character of all runtime options is AUTOMATICALLY the
3803    hyphen.
3804 
3805    Level: advanced
3806 
3807 .keywords: TS, append, options, prefix, database
3808 
3809 .seealso: TSGetOptionsPrefix()
3810 
3811 @*/
3812 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3813 {
3814   PetscErrorCode ierr;
3815   SNES           snes;
3816 
3817   PetscFunctionBegin;
3818   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3819   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3820   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3821   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3822   PetscFunctionReturn(0);
3823 }
3824 
3825 #undef __FUNCT__
3826 #define __FUNCT__ "TSGetOptionsPrefix"
3827 /*@C
3828    TSGetOptionsPrefix - Sets the prefix used for searching for all
3829    TS options in the database.
3830 
3831    Not Collective
3832 
3833    Input Parameter:
3834 .  ts - The TS context
3835 
3836    Output Parameter:
3837 .  prefix - A pointer to the prefix string used
3838 
3839    Notes: On the fortran side, the user should pass in a string 'prifix' of
3840    sufficient length to hold the prefix.
3841 
3842    Level: intermediate
3843 
3844 .keywords: TS, get, options, prefix, database
3845 
3846 .seealso: TSAppendOptionsPrefix()
3847 @*/
3848 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3849 {
3850   PetscErrorCode ierr;
3851 
3852   PetscFunctionBegin;
3853   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3854   PetscValidPointer(prefix,2);
3855   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3856   PetscFunctionReturn(0);
3857 }
3858 
3859 #undef __FUNCT__
3860 #define __FUNCT__ "TSGetRHSJacobian"
3861 /*@C
3862    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3863 
3864    Not Collective, but parallel objects are returned if TS is parallel
3865 
3866    Input Parameter:
3867 .  ts  - The TS context obtained from TSCreate()
3868 
3869    Output Parameters:
3870 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3871 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3872 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3873 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3874 
3875    Notes: You can pass in NULL for any return argument you do not need.
3876 
3877    Level: intermediate
3878 
3879 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3880 
3881 .keywords: TS, timestep, get, matrix, Jacobian
3882 @*/
3883 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3884 {
3885   PetscErrorCode ierr;
3886   SNES           snes;
3887   DM             dm;
3888 
3889   PetscFunctionBegin;
3890   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3891   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3892   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3893   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3894   PetscFunctionReturn(0);
3895 }
3896 
3897 #undef __FUNCT__
3898 #define __FUNCT__ "TSGetIJacobian"
3899 /*@C
3900    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3901 
3902    Not Collective, but parallel objects are returned if TS is parallel
3903 
3904    Input Parameter:
3905 .  ts  - The TS context obtained from TSCreate()
3906 
3907    Output Parameters:
3908 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3909 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3910 .  f   - The function to compute the matrices
3911 - ctx - User-defined context for Jacobian evaluation routine
3912 
3913    Notes: You can pass in NULL for any return argument you do not need.
3914 
3915    Level: advanced
3916 
3917 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3918 
3919 .keywords: TS, timestep, get, matrix, Jacobian
3920 @*/
3921 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3922 {
3923   PetscErrorCode ierr;
3924   SNES           snes;
3925   DM             dm;
3926 
3927   PetscFunctionBegin;
3928   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3929   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3930   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3931   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3932   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3933   PetscFunctionReturn(0);
3934 }
3935 
3936 
3937 #undef __FUNCT__
3938 #define __FUNCT__ "TSMonitorDrawSolution"
3939 /*@C
3940    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3941    VecView() for the solution at each timestep
3942 
3943    Collective on TS
3944 
3945    Input Parameters:
3946 +  ts - the TS context
3947 .  step - current time-step
3948 .  ptime - current time
3949 -  dummy - either a viewer or NULL
3950 
3951    Options Database:
3952 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3953 
3954    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3955        will look bad
3956 
3957    Level: intermediate
3958 
3959 .keywords: TS,  vector, monitor, view
3960 
3961 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3962 @*/
3963 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3964 {
3965   PetscErrorCode   ierr;
3966   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3967   PetscDraw        draw;
3968 
3969   PetscFunctionBegin;
3970   if (!step && ictx->showinitial) {
3971     if (!ictx->initialsolution) {
3972       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3973     }
3974     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3975   }
3976   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3977 
3978   if (ictx->showinitial) {
3979     PetscReal pause;
3980     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3981     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3982     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3983     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3984     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3985   }
3986   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3987   if (ictx->showtimestepandtime) {
3988     PetscReal xl,yl,xr,yr,h;
3989     char      time[32];
3990 
3991     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3992     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
3993     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3994     h    = yl + .95*(yr - yl);
3995     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3996     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3997   }
3998 
3999   if (ictx->showinitial) {
4000     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4001   }
4002   PetscFunctionReturn(0);
4003 }
4004 
4005 #undef __FUNCT__
4006 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4007 /*@C
4008    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4009    VecView() for the sensitivities to initial states at each timestep
4010 
4011    Collective on TS
4012 
4013    Input Parameters:
4014 +  ts - the TS context
4015 .  step - current time-step
4016 .  ptime - current time
4017 .  u - current state
4018 .  numcost - number of cost functions
4019 .  lambda - sensitivities to initial conditions
4020 .  mu - sensitivities to parameters
4021 -  dummy - either a viewer or NULL
4022 
4023    Level: intermediate
4024 
4025 .keywords: TS,  vector, adjoint, monitor, view
4026 
4027 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4028 @*/
4029 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4030 {
4031   PetscErrorCode   ierr;
4032   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4033   PetscDraw        draw;
4034   PetscReal        xl,yl,xr,yr,h;
4035   char             time[32];
4036 
4037   PetscFunctionBegin;
4038   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4039 
4040   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4041   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4042   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4043   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4044   h    = yl + .95*(yr - yl);
4045   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4046   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4047 
4048   PetscFunctionReturn(0);
4049 }
4050 
4051 #undef __FUNCT__
4052 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4053 /*@C
4054    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4055 
4056    Collective on TS
4057 
4058    Input Parameters:
4059 +  ts - the TS context
4060 .  step - current time-step
4061 .  ptime - current time
4062 -  dummy - either a viewer or NULL
4063 
4064    Level: intermediate
4065 
4066 .keywords: TS,  vector, monitor, view
4067 
4068 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4069 @*/
4070 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4071 {
4072   PetscErrorCode    ierr;
4073   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4074   PetscDraw         draw;
4075   MPI_Comm          comm;
4076   PetscInt          n;
4077   PetscMPIInt       size;
4078   PetscReal         xl,yl,xr,yr,h;
4079   char              time[32];
4080   const PetscScalar *U;
4081 
4082   PetscFunctionBegin;
4083   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
4084   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
4085   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
4086   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4087   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4088 
4089   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4090 
4091   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4092   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4093   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
4094       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4095       PetscFunctionReturn(0);
4096   }
4097   if (!step) ictx->color++;
4098   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
4099   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4100 
4101   if (ictx->showtimestepandtime) {
4102     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4103     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4104     h    = yl + .95*(yr - yl);
4105     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4106   }
4107   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4108   PetscFunctionReturn(0);
4109 }
4110 
4111 
4112 #undef __FUNCT__
4113 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4114 /*@C
4115    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4116 
4117    Collective on TS
4118 
4119    Input Parameters:
4120 .    ctx - the monitor context
4121 
4122    Level: intermediate
4123 
4124 .keywords: TS,  vector, monitor, view
4125 
4126 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4127 @*/
4128 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4129 {
4130   PetscErrorCode ierr;
4131 
4132   PetscFunctionBegin;
4133   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
4134   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4135   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4136   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4137   PetscFunctionReturn(0);
4138 }
4139 
4140 #undef __FUNCT__
4141 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4142 /*@C
4143    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4144 
4145    Collective on TS
4146 
4147    Input Parameter:
4148 .    ts - time-step context
4149 
4150    Output Patameter:
4151 .    ctx - the monitor context
4152 
4153    Options Database:
4154 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4155 
4156    Level: intermediate
4157 
4158 .keywords: TS,  vector, monitor, view
4159 
4160 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4161 @*/
4162 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4163 {
4164   PetscErrorCode   ierr;
4165 
4166   PetscFunctionBegin;
4167   ierr = PetscNew(ctx);CHKERRQ(ierr);
4168   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4169   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4170 
4171   (*ctx)->howoften    = howoften;
4172   (*ctx)->showinitial = PETSC_FALSE;
4173   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4174 
4175   (*ctx)->showtimestepandtime = PETSC_FALSE;
4176   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4177   (*ctx)->color = PETSC_DRAW_WHITE;
4178   PetscFunctionReturn(0);
4179 }
4180 
4181 #undef __FUNCT__
4182 #define __FUNCT__ "TSMonitorDrawError"
4183 /*@C
4184    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4185    VecView() for the error at each timestep
4186 
4187    Collective on TS
4188 
4189    Input Parameters:
4190 +  ts - the TS context
4191 .  step - current time-step
4192 .  ptime - current time
4193 -  dummy - either a viewer or NULL
4194 
4195    Level: intermediate
4196 
4197 .keywords: TS,  vector, monitor, view
4198 
4199 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4200 @*/
4201 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4202 {
4203   PetscErrorCode   ierr;
4204   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4205   PetscViewer      viewer = ctx->viewer;
4206   Vec              work;
4207 
4208   PetscFunctionBegin;
4209   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4210   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4211   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4212   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4213   ierr = VecView(work,viewer);CHKERRQ(ierr);
4214   ierr = VecDestroy(&work);CHKERRQ(ierr);
4215   PetscFunctionReturn(0);
4216 }
4217 
4218 #include <petsc/private/dmimpl.h>
4219 #undef __FUNCT__
4220 #define __FUNCT__ "TSSetDM"
4221 /*@
4222    TSSetDM - Sets the DM that may be used by some preconditioners
4223 
4224    Logically Collective on TS and DM
4225 
4226    Input Parameters:
4227 +  ts - the preconditioner context
4228 -  dm - the dm
4229 
4230    Level: intermediate
4231 
4232 
4233 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4234 @*/
4235 PetscErrorCode  TSSetDM(TS ts,DM dm)
4236 {
4237   PetscErrorCode ierr;
4238   SNES           snes;
4239   DMTS           tsdm;
4240 
4241   PetscFunctionBegin;
4242   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4243   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4244   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4245     if (ts->dm->dmts && !dm->dmts) {
4246       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4247       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4248       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4249         tsdm->originaldm = dm;
4250       }
4251     }
4252     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4253   }
4254   ts->dm = dm;
4255 
4256   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4257   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4258   PetscFunctionReturn(0);
4259 }
4260 
4261 #undef __FUNCT__
4262 #define __FUNCT__ "TSGetDM"
4263 /*@
4264    TSGetDM - Gets the DM that may be used by some preconditioners
4265 
4266    Not Collective
4267 
4268    Input Parameter:
4269 . ts - the preconditioner context
4270 
4271    Output Parameter:
4272 .  dm - the dm
4273 
4274    Level: intermediate
4275 
4276 
4277 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4278 @*/
4279 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4280 {
4281   PetscErrorCode ierr;
4282 
4283   PetscFunctionBegin;
4284   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4285   if (!ts->dm) {
4286     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4287     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4288   }
4289   *dm = ts->dm;
4290   PetscFunctionReturn(0);
4291 }
4292 
4293 #undef __FUNCT__
4294 #define __FUNCT__ "SNESTSFormFunction"
4295 /*@
4296    SNESTSFormFunction - Function to evaluate nonlinear residual
4297 
4298    Logically Collective on SNES
4299 
4300    Input Parameter:
4301 + snes - nonlinear solver
4302 . U - the current state at which to evaluate the residual
4303 - ctx - user context, must be a TS
4304 
4305    Output Parameter:
4306 . F - the nonlinear residual
4307 
4308    Notes:
4309    This function is not normally called by users and is automatically registered with the SNES used by TS.
4310    It is most frequently passed to MatFDColoringSetFunction().
4311 
4312    Level: advanced
4313 
4314 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4315 @*/
4316 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4317 {
4318   TS             ts = (TS)ctx;
4319   PetscErrorCode ierr;
4320 
4321   PetscFunctionBegin;
4322   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4323   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4324   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4325   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4326   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4327   PetscFunctionReturn(0);
4328 }
4329 
4330 #undef __FUNCT__
4331 #define __FUNCT__ "SNESTSFormJacobian"
4332 /*@
4333    SNESTSFormJacobian - Function to evaluate the Jacobian
4334 
4335    Collective on SNES
4336 
4337    Input Parameter:
4338 + snes - nonlinear solver
4339 . U - the current state at which to evaluate the residual
4340 - ctx - user context, must be a TS
4341 
4342    Output Parameter:
4343 + A - the Jacobian
4344 . B - the preconditioning matrix (may be the same as A)
4345 - flag - indicates any structure change in the matrix
4346 
4347    Notes:
4348    This function is not normally called by users and is automatically registered with the SNES used by TS.
4349 
4350    Level: developer
4351 
4352 .seealso: SNESSetJacobian()
4353 @*/
4354 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4355 {
4356   TS             ts = (TS)ctx;
4357   PetscErrorCode ierr;
4358 
4359   PetscFunctionBegin;
4360   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4361   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4362   PetscValidPointer(A,3);
4363   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4364   PetscValidPointer(B,4);
4365   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4366   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4367   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4368   PetscFunctionReturn(0);
4369 }
4370 
4371 #undef __FUNCT__
4372 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4373 /*@C
4374    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4375 
4376    Collective on TS
4377 
4378    Input Arguments:
4379 +  ts - time stepping context
4380 .  t - time at which to evaluate
4381 .  U - state at which to evaluate
4382 -  ctx - context
4383 
4384    Output Arguments:
4385 .  F - right hand side
4386 
4387    Level: intermediate
4388 
4389    Notes:
4390    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4391    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4392 
4393 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4394 @*/
4395 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4396 {
4397   PetscErrorCode ierr;
4398   Mat            Arhs,Brhs;
4399 
4400   PetscFunctionBegin;
4401   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4402   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4403   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4404   PetscFunctionReturn(0);
4405 }
4406 
4407 #undef __FUNCT__
4408 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4409 /*@C
4410    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4411 
4412    Collective on TS
4413 
4414    Input Arguments:
4415 +  ts - time stepping context
4416 .  t - time at which to evaluate
4417 .  U - state at which to evaluate
4418 -  ctx - context
4419 
4420    Output Arguments:
4421 +  A - pointer to operator
4422 .  B - pointer to preconditioning matrix
4423 -  flg - matrix structure flag
4424 
4425    Level: intermediate
4426 
4427    Notes:
4428    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4429 
4430 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4431 @*/
4432 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4433 {
4434   PetscFunctionBegin;
4435   PetscFunctionReturn(0);
4436 }
4437 
4438 #undef __FUNCT__
4439 #define __FUNCT__ "TSComputeIFunctionLinear"
4440 /*@C
4441    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4442 
4443    Collective on TS
4444 
4445    Input Arguments:
4446 +  ts - time stepping context
4447 .  t - time at which to evaluate
4448 .  U - state at which to evaluate
4449 .  Udot - time derivative of state vector
4450 -  ctx - context
4451 
4452    Output Arguments:
4453 .  F - left hand side
4454 
4455    Level: intermediate
4456 
4457    Notes:
4458    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
4459    user is required to write their own TSComputeIFunction.
4460    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4461    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4462 
4463 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4464 @*/
4465 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4466 {
4467   PetscErrorCode ierr;
4468   Mat            A,B;
4469 
4470   PetscFunctionBegin;
4471   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4472   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4473   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4474   PetscFunctionReturn(0);
4475 }
4476 
4477 #undef __FUNCT__
4478 #define __FUNCT__ "TSComputeIJacobianConstant"
4479 /*@C
4480    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4481 
4482    Collective on TS
4483 
4484    Input Arguments:
4485 +  ts - time stepping context
4486 .  t - time at which to evaluate
4487 .  U - state at which to evaluate
4488 .  Udot - time derivative of state vector
4489 .  shift - shift to apply
4490 -  ctx - context
4491 
4492    Output Arguments:
4493 +  A - pointer to operator
4494 .  B - pointer to preconditioning matrix
4495 -  flg - matrix structure flag
4496 
4497    Level: advanced
4498 
4499    Notes:
4500    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4501 
4502    It is only appropriate for problems of the form
4503 
4504 $     M Udot = F(U,t)
4505 
4506   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4507   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4508   an implicit operator of the form
4509 
4510 $    shift*M + J
4511 
4512   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
4513   a copy of M or reassemble it when requested.
4514 
4515 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4516 @*/
4517 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4518 {
4519   PetscErrorCode ierr;
4520 
4521   PetscFunctionBegin;
4522   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4523   ts->ijacobian.shift = shift;
4524   PetscFunctionReturn(0);
4525 }
4526 
4527 #undef __FUNCT__
4528 #define __FUNCT__ "TSGetEquationType"
4529 /*@
4530    TSGetEquationType - Gets the type of the equation that TS is solving.
4531 
4532    Not Collective
4533 
4534    Input Parameter:
4535 .  ts - the TS context
4536 
4537    Output Parameter:
4538 .  equation_type - see TSEquationType
4539 
4540    Level: beginner
4541 
4542 .keywords: TS, equation type
4543 
4544 .seealso: TSSetEquationType(), TSEquationType
4545 @*/
4546 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4547 {
4548   PetscFunctionBegin;
4549   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4550   PetscValidPointer(equation_type,2);
4551   *equation_type = ts->equation_type;
4552   PetscFunctionReturn(0);
4553 }
4554 
4555 #undef __FUNCT__
4556 #define __FUNCT__ "TSSetEquationType"
4557 /*@
4558    TSSetEquationType - Sets the type of the equation that TS is solving.
4559 
4560    Not Collective
4561 
4562    Input Parameter:
4563 +  ts - the TS context
4564 -  equation_type - see TSEquationType
4565 
4566    Level: advanced
4567 
4568 .keywords: TS, equation type
4569 
4570 .seealso: TSGetEquationType(), TSEquationType
4571 @*/
4572 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4573 {
4574   PetscFunctionBegin;
4575   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4576   ts->equation_type = equation_type;
4577   PetscFunctionReturn(0);
4578 }
4579 
4580 #undef __FUNCT__
4581 #define __FUNCT__ "TSGetConvergedReason"
4582 /*@
4583    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4584 
4585    Not Collective
4586 
4587    Input Parameter:
4588 .  ts - the TS context
4589 
4590    Output Parameter:
4591 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4592             manual pages for the individual convergence tests for complete lists
4593 
4594    Level: beginner
4595 
4596    Notes:
4597    Can only be called after the call to TSSolve() is complete.
4598 
4599 .keywords: TS, nonlinear, set, convergence, test
4600 
4601 .seealso: TSSetConvergenceTest(), TSConvergedReason
4602 @*/
4603 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4604 {
4605   PetscFunctionBegin;
4606   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4607   PetscValidPointer(reason,2);
4608   *reason = ts->reason;
4609   PetscFunctionReturn(0);
4610 }
4611 
4612 #undef __FUNCT__
4613 #define __FUNCT__ "TSSetConvergedReason"
4614 /*@
4615    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4616 
4617    Not Collective
4618 
4619    Input Parameter:
4620 +  ts - the TS context
4621 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4622             manual pages for the individual convergence tests for complete lists
4623 
4624    Level: advanced
4625 
4626    Notes:
4627    Can only be called during TSSolve() is active.
4628 
4629 .keywords: TS, nonlinear, set, convergence, test
4630 
4631 .seealso: TSConvergedReason
4632 @*/
4633 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4634 {
4635   PetscFunctionBegin;
4636   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4637   ts->reason = reason;
4638   PetscFunctionReturn(0);
4639 }
4640 
4641 #undef __FUNCT__
4642 #define __FUNCT__ "TSGetSolveTime"
4643 /*@
4644    TSGetSolveTime - Gets the time after a call to TSSolve()
4645 
4646    Not Collective
4647 
4648    Input Parameter:
4649 .  ts - the TS context
4650 
4651    Output Parameter:
4652 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4653 
4654    Level: beginner
4655 
4656    Notes:
4657    Can only be called after the call to TSSolve() is complete.
4658 
4659 .keywords: TS, nonlinear, set, convergence, test
4660 
4661 .seealso: TSSetConvergenceTest(), TSConvergedReason
4662 @*/
4663 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4664 {
4665   PetscFunctionBegin;
4666   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4667   PetscValidPointer(ftime,2);
4668   *ftime = ts->solvetime;
4669   PetscFunctionReturn(0);
4670 }
4671 
4672 #undef __FUNCT__
4673 #define __FUNCT__ "TSGetTotalSteps"
4674 /*@
4675    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4676 
4677    Not Collective
4678 
4679    Input Parameter:
4680 .  ts - the TS context
4681 
4682    Output Parameter:
4683 .  steps - the number of steps
4684 
4685    Level: beginner
4686 
4687    Notes:
4688    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4689 
4690 .keywords: TS, nonlinear, set, convergence, test
4691 
4692 .seealso: TSSetConvergenceTest(), TSConvergedReason
4693 @*/
4694 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4695 {
4696   PetscFunctionBegin;
4697   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4698   PetscValidPointer(steps,2);
4699   *steps = ts->total_steps;
4700   PetscFunctionReturn(0);
4701 }
4702 
4703 #undef __FUNCT__
4704 #define __FUNCT__ "TSGetSNESIterations"
4705 /*@
4706    TSGetSNESIterations - Gets the total number of nonlinear iterations
4707    used by the time integrator.
4708 
4709    Not Collective
4710 
4711    Input Parameter:
4712 .  ts - TS context
4713 
4714    Output Parameter:
4715 .  nits - number of nonlinear iterations
4716 
4717    Notes:
4718    This counter is reset to zero for each successive call to TSSolve().
4719 
4720    Level: intermediate
4721 
4722 .keywords: TS, get, number, nonlinear, iterations
4723 
4724 .seealso:  TSGetKSPIterations()
4725 @*/
4726 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4727 {
4728   PetscFunctionBegin;
4729   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4730   PetscValidIntPointer(nits,2);
4731   *nits = ts->snes_its;
4732   PetscFunctionReturn(0);
4733 }
4734 
4735 #undef __FUNCT__
4736 #define __FUNCT__ "TSGetKSPIterations"
4737 /*@
4738    TSGetKSPIterations - Gets the total number of linear iterations
4739    used by the time integrator.
4740 
4741    Not Collective
4742 
4743    Input Parameter:
4744 .  ts - TS context
4745 
4746    Output Parameter:
4747 .  lits - number of linear iterations
4748 
4749    Notes:
4750    This counter is reset to zero for each successive call to TSSolve().
4751 
4752    Level: intermediate
4753 
4754 .keywords: TS, get, number, linear, iterations
4755 
4756 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4757 @*/
4758 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4759 {
4760   PetscFunctionBegin;
4761   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4762   PetscValidIntPointer(lits,2);
4763   *lits = ts->ksp_its;
4764   PetscFunctionReturn(0);
4765 }
4766 
4767 #undef __FUNCT__
4768 #define __FUNCT__ "TSGetStepRejections"
4769 /*@
4770    TSGetStepRejections - Gets the total number of rejected steps.
4771 
4772    Not Collective
4773 
4774    Input Parameter:
4775 .  ts - TS context
4776 
4777    Output Parameter:
4778 .  rejects - number of steps rejected
4779 
4780    Notes:
4781    This counter is reset to zero for each successive call to TSSolve().
4782 
4783    Level: intermediate
4784 
4785 .keywords: TS, get, number
4786 
4787 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4788 @*/
4789 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4790 {
4791   PetscFunctionBegin;
4792   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4793   PetscValidIntPointer(rejects,2);
4794   *rejects = ts->reject;
4795   PetscFunctionReturn(0);
4796 }
4797 
4798 #undef __FUNCT__
4799 #define __FUNCT__ "TSGetSNESFailures"
4800 /*@
4801    TSGetSNESFailures - Gets the total number of failed SNES solves
4802 
4803    Not Collective
4804 
4805    Input Parameter:
4806 .  ts - TS context
4807 
4808    Output Parameter:
4809 .  fails - number of failed nonlinear solves
4810 
4811    Notes:
4812    This counter is reset to zero for each successive call to TSSolve().
4813 
4814    Level: intermediate
4815 
4816 .keywords: TS, get, number
4817 
4818 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4819 @*/
4820 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4821 {
4822   PetscFunctionBegin;
4823   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4824   PetscValidIntPointer(fails,2);
4825   *fails = ts->num_snes_failures;
4826   PetscFunctionReturn(0);
4827 }
4828 
4829 #undef __FUNCT__
4830 #define __FUNCT__ "TSSetMaxStepRejections"
4831 /*@
4832    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4833 
4834    Not Collective
4835 
4836    Input Parameter:
4837 +  ts - TS context
4838 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4839 
4840    Notes:
4841    The counter is reset to zero for each step
4842 
4843    Options Database Key:
4844  .  -ts_max_reject - Maximum number of step rejections before a step fails
4845 
4846    Level: intermediate
4847 
4848 .keywords: TS, set, maximum, number
4849 
4850 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4851 @*/
4852 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4853 {
4854   PetscFunctionBegin;
4855   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4856   ts->max_reject = rejects;
4857   PetscFunctionReturn(0);
4858 }
4859 
4860 #undef __FUNCT__
4861 #define __FUNCT__ "TSSetMaxSNESFailures"
4862 /*@
4863    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4864 
4865    Not Collective
4866 
4867    Input Parameter:
4868 +  ts - TS context
4869 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4870 
4871    Notes:
4872    The counter is reset to zero for each successive call to TSSolve().
4873 
4874    Options Database Key:
4875  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4876 
4877    Level: intermediate
4878 
4879 .keywords: TS, set, maximum, number
4880 
4881 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4882 @*/
4883 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4884 {
4885   PetscFunctionBegin;
4886   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4887   ts->max_snes_failures = fails;
4888   PetscFunctionReturn(0);
4889 }
4890 
4891 #undef __FUNCT__
4892 #define __FUNCT__ "TSSetErrorIfStepFails"
4893 /*@
4894    TSSetErrorIfStepFails - Error if no step succeeds
4895 
4896    Not Collective
4897 
4898    Input Parameter:
4899 +  ts - TS context
4900 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4901 
4902    Options Database Key:
4903  .  -ts_error_if_step_fails - Error if no step succeeds
4904 
4905    Level: intermediate
4906 
4907 .keywords: TS, set, error
4908 
4909 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4910 @*/
4911 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4912 {
4913   PetscFunctionBegin;
4914   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4915   ts->errorifstepfailed = err;
4916   PetscFunctionReturn(0);
4917 }
4918 
4919 #undef __FUNCT__
4920 #define __FUNCT__ "TSMonitorSolutionBinary"
4921 /*@C
4922    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4923 
4924    Collective on TS
4925 
4926    Input Parameters:
4927 +  ts - the TS context
4928 .  step - current time-step
4929 .  ptime - current time
4930 .  u - current state
4931 -  viewer - binary viewer
4932 
4933    Level: intermediate
4934 
4935 .keywords: TS,  vector, monitor, view
4936 
4937 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4938 @*/
4939 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4940 {
4941   PetscErrorCode ierr;
4942   PetscViewer    v = (PetscViewer)viewer;
4943 
4944   PetscFunctionBegin;
4945   ierr = VecView(u,v);CHKERRQ(ierr);
4946   PetscFunctionReturn(0);
4947 }
4948 
4949 #undef __FUNCT__
4950 #define __FUNCT__ "TSMonitorSolutionVTK"
4951 /*@C
4952    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4953 
4954    Collective on TS
4955 
4956    Input Parameters:
4957 +  ts - the TS context
4958 .  step - current time-step
4959 .  ptime - current time
4960 .  u - current state
4961 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4962 
4963    Level: intermediate
4964 
4965    Notes:
4966    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.
4967    These are named according to the file name template.
4968 
4969    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4970 
4971 .keywords: TS,  vector, monitor, view
4972 
4973 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4974 @*/
4975 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4976 {
4977   PetscErrorCode ierr;
4978   char           filename[PETSC_MAX_PATH_LEN];
4979   PetscViewer    viewer;
4980 
4981   PetscFunctionBegin;
4982   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4983   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4984   ierr = VecView(u,viewer);CHKERRQ(ierr);
4985   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4986   PetscFunctionReturn(0);
4987 }
4988 
4989 #undef __FUNCT__
4990 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4991 /*@C
4992    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4993 
4994    Collective on TS
4995 
4996    Input Parameters:
4997 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4998 
4999    Level: intermediate
5000 
5001    Note:
5002    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5003 
5004 .keywords: TS,  vector, monitor, view
5005 
5006 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5007 @*/
5008 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5009 {
5010   PetscErrorCode ierr;
5011 
5012   PetscFunctionBegin;
5013   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5014   PetscFunctionReturn(0);
5015 }
5016 
5017 #undef __FUNCT__
5018 #define __FUNCT__ "TSGetAdapt"
5019 /*@
5020    TSGetAdapt - Get the adaptive controller context for the current method
5021 
5022    Collective on TS if controller has not been created yet
5023 
5024    Input Arguments:
5025 .  ts - time stepping context
5026 
5027    Output Arguments:
5028 .  adapt - adaptive controller
5029 
5030    Level: intermediate
5031 
5032 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5033 @*/
5034 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5035 {
5036   PetscErrorCode ierr;
5037 
5038   PetscFunctionBegin;
5039   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5040   PetscValidPointer(adapt,2);
5041   if (!ts->adapt) {
5042     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5043     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5044     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5045   }
5046   *adapt = ts->adapt;
5047   PetscFunctionReturn(0);
5048 }
5049 
5050 #undef __FUNCT__
5051 #define __FUNCT__ "TSSetTolerances"
5052 /*@
5053    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5054 
5055    Logically Collective
5056 
5057    Input Arguments:
5058 +  ts - time integration context
5059 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5060 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5061 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5062 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5063 
5064    Options Database keys:
5065 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5066 -  -ts_atol <atol> Absolute tolerance for local truncation error
5067 
5068    Notes:
5069    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5070    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5071    computed only for the differential or the algebraic part then this can be done using the vector of
5072    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5073    differential part and infinity for the algebraic part, the LTE calculation will include only the
5074    differential variables.
5075 
5076    Level: beginner
5077 
5078 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5079 @*/
5080 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5081 {
5082   PetscErrorCode ierr;
5083 
5084   PetscFunctionBegin;
5085   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5086   if (vatol) {
5087     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5088     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5089 
5090     ts->vatol = vatol;
5091   }
5092   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5093   if (vrtol) {
5094     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5095     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5096 
5097     ts->vrtol = vrtol;
5098   }
5099   PetscFunctionReturn(0);
5100 }
5101 
5102 #undef __FUNCT__
5103 #define __FUNCT__ "TSGetTolerances"
5104 /*@
5105    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5106 
5107    Logically Collective
5108 
5109    Input Arguments:
5110 .  ts - time integration context
5111 
5112    Output Arguments:
5113 +  atol - scalar absolute tolerances, NULL to ignore
5114 .  vatol - vector of absolute tolerances, NULL to ignore
5115 .  rtol - scalar relative tolerances, NULL to ignore
5116 -  vrtol - vector of relative tolerances, NULL to ignore
5117 
5118    Level: beginner
5119 
5120 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5121 @*/
5122 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5123 {
5124   PetscFunctionBegin;
5125   if (atol)  *atol  = ts->atol;
5126   if (vatol) *vatol = ts->vatol;
5127   if (rtol)  *rtol  = ts->rtol;
5128   if (vrtol) *vrtol = ts->vrtol;
5129   PetscFunctionReturn(0);
5130 }
5131 
5132 #undef __FUNCT__
5133 #define __FUNCT__ "TSErrorWeightedNorm2"
5134 /*@
5135    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5136 
5137    Collective on TS
5138 
5139    Input Arguments:
5140 +  ts - time stepping context
5141 .  U - state vector, usually ts->vec_sol
5142 -  Y - state vector to be compared to U
5143 
5144    Output Arguments:
5145 .  norm - weighted norm, a value of 1.0 is considered small
5146 
5147    Level: developer
5148 
5149 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5150 @*/
5151 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5152 {
5153   PetscErrorCode    ierr;
5154   PetscInt          i,n,N,rstart;
5155   const PetscScalar *u,*y;
5156   PetscReal         sum,gsum;
5157   PetscReal         tol;
5158 
5159   PetscFunctionBegin;
5160   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5161   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5162   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5163   PetscValidType(U,2);
5164   PetscValidType(Y,3);
5165   PetscCheckSameComm(U,2,Y,3);
5166   PetscValidPointer(norm,4);
5167   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5168 
5169   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5170   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5171   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5172   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5173   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5174   sum  = 0.;
5175   if (ts->vatol && ts->vrtol) {
5176     const PetscScalar *atol,*rtol;
5177     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5178     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5179     for (i=0; i<n; i++) {
5180       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5181       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5182     }
5183     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5184     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5185   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5186     const PetscScalar *atol;
5187     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5188     for (i=0; i<n; i++) {
5189       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5190       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5191     }
5192     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5193   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5194     const PetscScalar *rtol;
5195     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5196     for (i=0; i<n; i++) {
5197       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5198       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5199     }
5200     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5201   } else {                      /* scalar atol, scalar rtol */
5202     for (i=0; i<n; i++) {
5203       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5204       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5205     }
5206   }
5207   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5208   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5209 
5210   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5211   *norm = PetscSqrtReal(gsum / N);
5212 
5213   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5214   PetscFunctionReturn(0);
5215 }
5216 
5217 #undef __FUNCT__
5218 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5219 /*@
5220    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5221 
5222    Collective on TS
5223 
5224    Input Arguments:
5225 +  ts - time stepping context
5226 .  U - state vector, usually ts->vec_sol
5227 -  Y - state vector to be compared to U
5228 
5229    Output Arguments:
5230 .  norm - weighted norm, a value of 1.0 is considered small
5231 
5232    Level: developer
5233 
5234 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5235 @*/
5236 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5237 {
5238   PetscErrorCode    ierr;
5239   PetscInt          i,n,N,rstart,k;
5240   const PetscScalar *u,*y;
5241   PetscReal         max,gmax;
5242   PetscReal         tol;
5243 
5244   PetscFunctionBegin;
5245   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5246   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5247   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5248   PetscValidType(U,2);
5249   PetscValidType(Y,3);
5250   PetscCheckSameComm(U,2,Y,3);
5251   PetscValidPointer(norm,4);
5252   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5253 
5254   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5255   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5256   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5257   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5258   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5259   if (ts->vatol && ts->vrtol) {
5260     const PetscScalar *atol,*rtol;
5261     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5262     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5263     k = 0;
5264     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5265     max = PetscAbsScalar(y[k] - u[k]) / tol;
5266     for (i=1; i<n; i++) {
5267       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5268       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5269     }
5270     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5271     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5272   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5273     const PetscScalar *atol;
5274     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5275     k = 0;
5276     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5277     max = PetscAbsScalar(y[k] - u[k]) / tol;
5278     for (i=1; i<n; i++) {
5279       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5280       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5281     }
5282     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5283   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5284     const PetscScalar *rtol;
5285     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5286     k = 0;
5287     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5288     max = PetscAbsScalar(y[k] - u[k]) / tol;
5289     for (i=1; i<n; i++) {
5290       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5291       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5292     }
5293     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5294   } else {                      /* scalar atol, scalar rtol */
5295     k = 0;
5296     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5297     max = PetscAbsScalar(y[k] - u[k]) / tol;
5298     for (i=1; i<n; i++) {
5299       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5300       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5301     }
5302   }
5303   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5304   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5305 
5306   ierr  = MPI_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5307   *norm = gmax;
5308 
5309   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5310   PetscFunctionReturn(0);
5311 }
5312 
5313 #undef __FUNCT__
5314 #define __FUNCT__ "TSErrorWeightedNorm"
5315 /*@
5316    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
5317 
5318    Collective on TS
5319 
5320    Input Arguments:
5321 +  ts - time stepping context
5322 .  U - state vector, usually ts->vec_sol
5323 .  Y - state vector to be compared to U
5324 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
5325 
5326    Output Arguments:
5327 .  norm - weighted norm, a value of 1.0 is considered small
5328 
5329 
5330    Options Database Keys:
5331 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
5332 
5333    Level: developer
5334 
5335 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
5336 @*/
5337 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
5338 {
5339   PetscErrorCode ierr;
5340 
5341   PetscFunctionBegin;
5342   if (wnormtype == NORM_2) {
5343     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
5344   } else if(wnormtype == NORM_INFINITY) {
5345     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
5346   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
5347   PetscFunctionReturn(0);
5348 }
5349 
5350 #undef __FUNCT__
5351 #define __FUNCT__ "TSSetCFLTimeLocal"
5352 /*@
5353    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
5354 
5355    Logically Collective on TS
5356 
5357    Input Arguments:
5358 +  ts - time stepping context
5359 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
5360 
5361    Note:
5362    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
5363 
5364    Level: intermediate
5365 
5366 .seealso: TSGetCFLTime(), TSADAPTCFL
5367 @*/
5368 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
5369 {
5370   PetscFunctionBegin;
5371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5372   ts->cfltime_local = cfltime;
5373   ts->cfltime       = -1.;
5374   PetscFunctionReturn(0);
5375 }
5376 
5377 #undef __FUNCT__
5378 #define __FUNCT__ "TSGetCFLTime"
5379 /*@
5380    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5381 
5382    Collective on TS
5383 
5384    Input Arguments:
5385 .  ts - time stepping context
5386 
5387    Output Arguments:
5388 .  cfltime - maximum stable time step for forward Euler
5389 
5390    Level: advanced
5391 
5392 .seealso: TSSetCFLTimeLocal()
5393 @*/
5394 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5395 {
5396   PetscErrorCode ierr;
5397 
5398   PetscFunctionBegin;
5399   if (ts->cfltime < 0) {
5400     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5401   }
5402   *cfltime = ts->cfltime;
5403   PetscFunctionReturn(0);
5404 }
5405 
5406 #undef __FUNCT__
5407 #define __FUNCT__ "TSVISetVariableBounds"
5408 /*@
5409    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5410 
5411    Input Parameters:
5412 .  ts   - the TS context.
5413 .  xl   - lower bound.
5414 .  xu   - upper bound.
5415 
5416    Notes:
5417    If this routine is not called then the lower and upper bounds are set to
5418    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5419 
5420    Level: advanced
5421 
5422 @*/
5423 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5424 {
5425   PetscErrorCode ierr;
5426   SNES           snes;
5427 
5428   PetscFunctionBegin;
5429   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5430   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5431   PetscFunctionReturn(0);
5432 }
5433 
5434 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5435 #include <mex.h>
5436 
5437 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5438 
5439 #undef __FUNCT__
5440 #define __FUNCT__ "TSComputeFunction_Matlab"
5441 /*
5442    TSComputeFunction_Matlab - Calls the function that has been set with
5443                          TSSetFunctionMatlab().
5444 
5445    Collective on TS
5446 
5447    Input Parameters:
5448 +  snes - the TS context
5449 -  u - input vector
5450 
5451    Output Parameter:
5452 .  y - function vector, as set by TSSetFunction()
5453 
5454    Notes:
5455    TSComputeFunction() is typically used within nonlinear solvers
5456    implementations, so most users would not generally call this routine
5457    themselves.
5458 
5459    Level: developer
5460 
5461 .keywords: TS, nonlinear, compute, function
5462 
5463 .seealso: TSSetFunction(), TSGetFunction()
5464 */
5465 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5466 {
5467   PetscErrorCode  ierr;
5468   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5469   int             nlhs  = 1,nrhs = 7;
5470   mxArray         *plhs[1],*prhs[7];
5471   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5472 
5473   PetscFunctionBegin;
5474   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5475   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5476   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5477   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5478   PetscCheckSameComm(snes,1,u,3);
5479   PetscCheckSameComm(snes,1,y,5);
5480 
5481   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5482   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5483   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5484   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5485 
5486   prhs[0] =  mxCreateDoubleScalar((double)ls);
5487   prhs[1] =  mxCreateDoubleScalar(time);
5488   prhs[2] =  mxCreateDoubleScalar((double)lx);
5489   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5490   prhs[4] =  mxCreateDoubleScalar((double)ly);
5491   prhs[5] =  mxCreateString(sctx->funcname);
5492   prhs[6] =  sctx->ctx;
5493   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5494   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5495   mxDestroyArray(prhs[0]);
5496   mxDestroyArray(prhs[1]);
5497   mxDestroyArray(prhs[2]);
5498   mxDestroyArray(prhs[3]);
5499   mxDestroyArray(prhs[4]);
5500   mxDestroyArray(prhs[5]);
5501   mxDestroyArray(plhs[0]);
5502   PetscFunctionReturn(0);
5503 }
5504 
5505 
5506 #undef __FUNCT__
5507 #define __FUNCT__ "TSSetFunctionMatlab"
5508 /*
5509    TSSetFunctionMatlab - Sets the function evaluation routine and function
5510    vector for use by the TS routines in solving ODEs
5511    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5512 
5513    Logically Collective on TS
5514 
5515    Input Parameters:
5516 +  ts - the TS context
5517 -  func - function evaluation routine
5518 
5519    Calling sequence of func:
5520 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5521 
5522    Level: beginner
5523 
5524 .keywords: TS, nonlinear, set, function
5525 
5526 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5527 */
5528 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5529 {
5530   PetscErrorCode  ierr;
5531   TSMatlabContext *sctx;
5532 
5533   PetscFunctionBegin;
5534   /* currently sctx is memory bleed */
5535   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5536   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5537   /*
5538      This should work, but it doesn't
5539   sctx->ctx = ctx;
5540   mexMakeArrayPersistent(sctx->ctx);
5541   */
5542   sctx->ctx = mxDuplicateArray(ctx);
5543 
5544   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5545   PetscFunctionReturn(0);
5546 }
5547 
5548 #undef __FUNCT__
5549 #define __FUNCT__ "TSComputeJacobian_Matlab"
5550 /*
5551    TSComputeJacobian_Matlab - Calls the function that has been set with
5552                          TSSetJacobianMatlab().
5553 
5554    Collective on TS
5555 
5556    Input Parameters:
5557 +  ts - the TS context
5558 .  u - input vector
5559 .  A, B - the matrices
5560 -  ctx - user context
5561 
5562    Level: developer
5563 
5564 .keywords: TS, nonlinear, compute, function
5565 
5566 .seealso: TSSetFunction(), TSGetFunction()
5567 @*/
5568 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5569 {
5570   PetscErrorCode  ierr;
5571   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5572   int             nlhs  = 2,nrhs = 9;
5573   mxArray         *plhs[2],*prhs[9];
5574   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5575 
5576   PetscFunctionBegin;
5577   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5578   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5579 
5580   /* call Matlab function in ctx with arguments u and y */
5581 
5582   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5583   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5584   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5585   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5586   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5587 
5588   prhs[0] =  mxCreateDoubleScalar((double)ls);
5589   prhs[1] =  mxCreateDoubleScalar((double)time);
5590   prhs[2] =  mxCreateDoubleScalar((double)lx);
5591   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5592   prhs[4] =  mxCreateDoubleScalar((double)shift);
5593   prhs[5] =  mxCreateDoubleScalar((double)lA);
5594   prhs[6] =  mxCreateDoubleScalar((double)lB);
5595   prhs[7] =  mxCreateString(sctx->funcname);
5596   prhs[8] =  sctx->ctx;
5597   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5598   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5599   mxDestroyArray(prhs[0]);
5600   mxDestroyArray(prhs[1]);
5601   mxDestroyArray(prhs[2]);
5602   mxDestroyArray(prhs[3]);
5603   mxDestroyArray(prhs[4]);
5604   mxDestroyArray(prhs[5]);
5605   mxDestroyArray(prhs[6]);
5606   mxDestroyArray(prhs[7]);
5607   mxDestroyArray(plhs[0]);
5608   mxDestroyArray(plhs[1]);
5609   PetscFunctionReturn(0);
5610 }
5611 
5612 
5613 #undef __FUNCT__
5614 #define __FUNCT__ "TSSetJacobianMatlab"
5615 /*
5616    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5617    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
5618 
5619    Logically Collective on TS
5620 
5621    Input Parameters:
5622 +  ts - the TS context
5623 .  A,B - Jacobian matrices
5624 .  func - function evaluation routine
5625 -  ctx - user context
5626 
5627    Calling sequence of func:
5628 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5629 
5630 
5631    Level: developer
5632 
5633 .keywords: TS, nonlinear, set, function
5634 
5635 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5636 */
5637 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5638 {
5639   PetscErrorCode  ierr;
5640   TSMatlabContext *sctx;
5641 
5642   PetscFunctionBegin;
5643   /* currently sctx is memory bleed */
5644   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5645   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5646   /*
5647      This should work, but it doesn't
5648   sctx->ctx = ctx;
5649   mexMakeArrayPersistent(sctx->ctx);
5650   */
5651   sctx->ctx = mxDuplicateArray(ctx);
5652 
5653   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5654   PetscFunctionReturn(0);
5655 }
5656 
5657 #undef __FUNCT__
5658 #define __FUNCT__ "TSMonitor_Matlab"
5659 /*
5660    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5661 
5662    Collective on TS
5663 
5664 .seealso: TSSetFunction(), TSGetFunction()
5665 @*/
5666 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5667 {
5668   PetscErrorCode  ierr;
5669   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5670   int             nlhs  = 1,nrhs = 6;
5671   mxArray         *plhs[1],*prhs[6];
5672   long long int   lx = 0,ls = 0;
5673 
5674   PetscFunctionBegin;
5675   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5676   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5677 
5678   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5679   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5680 
5681   prhs[0] =  mxCreateDoubleScalar((double)ls);
5682   prhs[1] =  mxCreateDoubleScalar((double)it);
5683   prhs[2] =  mxCreateDoubleScalar((double)time);
5684   prhs[3] =  mxCreateDoubleScalar((double)lx);
5685   prhs[4] =  mxCreateString(sctx->funcname);
5686   prhs[5] =  sctx->ctx;
5687   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5688   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5689   mxDestroyArray(prhs[0]);
5690   mxDestroyArray(prhs[1]);
5691   mxDestroyArray(prhs[2]);
5692   mxDestroyArray(prhs[3]);
5693   mxDestroyArray(prhs[4]);
5694   mxDestroyArray(plhs[0]);
5695   PetscFunctionReturn(0);
5696 }
5697 
5698 
5699 #undef __FUNCT__
5700 #define __FUNCT__ "TSMonitorSetMatlab"
5701 /*
5702    TSMonitorSetMatlab - Sets the monitor function from Matlab
5703 
5704    Level: developer
5705 
5706 .keywords: TS, nonlinear, set, function
5707 
5708 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5709 */
5710 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5711 {
5712   PetscErrorCode  ierr;
5713   TSMatlabContext *sctx;
5714 
5715   PetscFunctionBegin;
5716   /* currently sctx is memory bleed */
5717   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5718   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5719   /*
5720      This should work, but it doesn't
5721   sctx->ctx = ctx;
5722   mexMakeArrayPersistent(sctx->ctx);
5723   */
5724   sctx->ctx = mxDuplicateArray(ctx);
5725 
5726   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5727   PetscFunctionReturn(0);
5728 }
5729 #endif
5730 
5731 #undef __FUNCT__
5732 #define __FUNCT__ "TSMonitorLGSolution"
5733 /*@C
5734    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5735        in a time based line graph
5736 
5737    Collective on TS
5738 
5739    Input Parameters:
5740 +  ts - the TS context
5741 .  step - current time-step
5742 .  ptime - current time
5743 -  lg - a line graph object
5744 
5745    Options Database:
5746 .   -ts_monitor_lg_solution_variables
5747 
5748    Level: intermediate
5749 
5750     Notes: each process in a parallel run displays its component solutions in a separate window
5751 
5752 .keywords: TS,  vector, monitor, view
5753 
5754 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5755 @*/
5756 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5757 {
5758   PetscErrorCode    ierr;
5759   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5760   const PetscScalar *yy;
5761   PetscInt          dim;
5762   Vec               v;
5763 
5764   PetscFunctionBegin;
5765   if (!step) {
5766     PetscDrawAxis axis;
5767     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5768     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5769     if (ctx->names && !ctx->displaynames) {
5770       char      **displaynames;
5771       PetscBool flg;
5772 
5773       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5774       ierr = PetscMalloc((dim+1)*sizeof(char*),&displaynames);CHKERRQ(ierr);
5775       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
5776       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
5777       if (flg) {
5778         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
5779       }
5780       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
5781     }
5782     if (ctx->displaynames) {
5783       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
5784       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
5785     } else if (ctx->names) {
5786       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5787       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5788       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
5789     }
5790     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5791   }
5792   if (ctx->transform) {
5793     ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);
5794   } else {
5795     v = u;
5796   }
5797   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
5798 #if defined(PETSC_USE_COMPLEX)
5799   {
5800     PetscReal *yreal;
5801     PetscInt  i,n;
5802     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
5803     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5804     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5805     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5806     ierr = PetscFree(yreal);CHKERRQ(ierr);
5807   }
5808 #else
5809   if (ctx->displaynames) {
5810     PetscInt i;
5811     for (i=0; i<ctx->ndisplayvariables; i++) {
5812       ctx->displayvalues[i] = yy[ctx->displayvariables[i]];
5813     }
5814     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
5815   } else {
5816     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5817   }
5818 #endif
5819   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
5820   if (ctx->transform) {
5821     ierr = VecDestroy(&v);CHKERRQ(ierr);
5822   }
5823   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5824     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5825   }
5826   PetscFunctionReturn(0);
5827 }
5828 
5829 
5830 #undef __FUNCT__
5831 #define __FUNCT__ "TSMonitorLGSetVariableNames"
5832 /*@C
5833    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
5834 
5835    Collective on TS
5836 
5837    Input Parameters:
5838 +  ts - the TS context
5839 -  names - the names of the components, final string must be NULL
5840 
5841    Level: intermediate
5842 
5843 .keywords: TS,  vector, monitor, view
5844 
5845 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
5846 @*/
5847 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
5848 {
5849   PetscErrorCode    ierr;
5850   PetscInt          i;
5851 
5852   PetscFunctionBegin;
5853   for (i=0; i<ts->numbermonitors; i++) {
5854     if (ts->monitor[i] == TSMonitorLGSolution) {
5855       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
5856       break;
5857     }
5858   }
5859   PetscFunctionReturn(0);
5860 }
5861 
5862 #undef __FUNCT__
5863 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
5864 /*@C
5865    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
5866 
5867    Collective on TS
5868 
5869    Input Parameters:
5870 +  ts - the TS context
5871 -  names - the names of the components, final string must be NULL
5872 
5873    Level: intermediate
5874 
5875 .keywords: TS,  vector, monitor, view
5876 
5877 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
5878 @*/
5879 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
5880 {
5881   PetscErrorCode    ierr;
5882 
5883   PetscFunctionBegin;
5884   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
5885   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
5886   PetscFunctionReturn(0);
5887 }
5888 
5889 #undef __FUNCT__
5890 #define __FUNCT__ "TSMonitorLGGetVariableNames"
5891 /*@C
5892    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
5893 
5894    Collective on TS
5895 
5896    Input Parameter:
5897 .  ts - the TS context
5898 
5899    Output Parameter:
5900 .  names - the names of the components, final string must be NULL
5901 
5902    Level: intermediate
5903 
5904 .keywords: TS,  vector, monitor, view
5905 
5906 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
5907 @*/
5908 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
5909 {
5910   PetscInt       i;
5911 
5912   PetscFunctionBegin;
5913   *names = NULL;
5914   for (i=0; i<ts->numbermonitors; i++) {
5915     if (ts->monitor[i] == TSMonitorLGSolution) {
5916       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
5917       *names = (const char *const *)ctx->names;
5918       break;
5919     }
5920   }
5921   PetscFunctionReturn(0);
5922 }
5923 
5924 #undef __FUNCT__
5925 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
5926 /*@C
5927    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
5928 
5929    Collective on TS
5930 
5931    Input Parameters:
5932 +  ctx - the TSMonitorLG context
5933 .  displaynames - the names of the components, final string must be NULL
5934 
5935    Level: intermediate
5936 
5937 .keywords: TS,  vector, monitor, view
5938 
5939 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
5940 @*/
5941 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
5942 {
5943   PetscInt          j = 0,k;
5944   PetscErrorCode    ierr;
5945 
5946   PetscFunctionBegin;
5947   if (!ctx->names) PetscFunctionReturn(0);
5948   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
5949   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
5950   while (displaynames[j]) j++;
5951   ctx->ndisplayvariables = j;
5952   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
5953   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
5954   j = 0;
5955   while (displaynames[j]) {
5956     k = 0;
5957     while (ctx->names[k]) {
5958       PetscBool flg;
5959       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
5960       if (flg) {
5961         ctx->displayvariables[j] = k;
5962         break;
5963       }
5964       k++;
5965     }
5966     j++;
5967   }
5968   PetscFunctionReturn(0);
5969 }
5970 
5971 
5972 #undef __FUNCT__
5973 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
5974 /*@C
5975    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
5976 
5977    Collective on TS
5978 
5979    Input Parameters:
5980 +  ts - the TS context
5981 .  displaynames - the names of the components, final string must be NULL
5982 
5983    Level: intermediate
5984 
5985 .keywords: TS,  vector, monitor, view
5986 
5987 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
5988 @*/
5989 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
5990 {
5991   PetscInt          i;
5992   PetscErrorCode    ierr;
5993 
5994   PetscFunctionBegin;
5995   for (i=0; i<ts->numbermonitors; i++) {
5996     if (ts->monitor[i] == TSMonitorLGSolution) {
5997       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
5998       break;
5999     }
6000   }
6001   PetscFunctionReturn(0);
6002 }
6003 
6004 #undef __FUNCT__
6005 #define __FUNCT__ "TSMonitorLGSetTransform"
6006 /*@C
6007    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6008 
6009    Collective on TS
6010 
6011    Input Parameters:
6012 +  ts - the TS context
6013 .  transform - the transform function
6014 .  destroy - function to destroy the optional context
6015 -  ctx - optional context used by transform function
6016 
6017    Level: intermediate
6018 
6019 .keywords: TS,  vector, monitor, view
6020 
6021 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6022 @*/
6023 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6024 {
6025   PetscInt          i;
6026   PetscErrorCode    ierr;
6027 
6028   PetscFunctionBegin;
6029   for (i=0; i<ts->numbermonitors; i++) {
6030     if (ts->monitor[i] == TSMonitorLGSolution) {
6031       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6032     }
6033   }
6034   PetscFunctionReturn(0);
6035 }
6036 
6037 #undef __FUNCT__
6038 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6039 /*@C
6040    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6041 
6042    Collective on TSLGCtx
6043 
6044    Input Parameters:
6045 +  ts - the TS context
6046 .  transform - the transform function
6047 .  destroy - function to destroy the optional context
6048 -  ctx - optional context used by transform function
6049 
6050    Level: intermediate
6051 
6052 .keywords: TS,  vector, monitor, view
6053 
6054 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6055 @*/
6056 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6057 {
6058   PetscFunctionBegin;
6059   ctx->transform    = transform;
6060   ctx->transformdestroy = destroy;
6061   ctx->transformctx = tctx;
6062   PetscFunctionReturn(0);
6063 }
6064 
6065 #undef __FUNCT__
6066 #define __FUNCT__ "TSMonitorLGError"
6067 /*@C
6068    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6069        in a time based line graph
6070 
6071    Collective on TS
6072 
6073    Input Parameters:
6074 +  ts - the TS context
6075 .  step - current time-step
6076 .  ptime - current time
6077 -  lg - a line graph object
6078 
6079    Level: intermediate
6080 
6081    Notes:
6082    Only for sequential solves.
6083 
6084    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6085 
6086    Options Database Keys:
6087 .  -ts_monitor_lg_error - create a graphical monitor of error history
6088 
6089 .keywords: TS,  vector, monitor, view
6090 
6091 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6092 @*/
6093 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6094 {
6095   PetscErrorCode    ierr;
6096   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6097   const PetscScalar *yy;
6098   Vec               y;
6099   PetscInt          dim;
6100 
6101   PetscFunctionBegin;
6102   if (!step) {
6103     PetscDrawAxis axis;
6104     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6105     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6106     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6107     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6108     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6109   }
6110   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6111   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6112   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6113   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6114 #if defined(PETSC_USE_COMPLEX)
6115   {
6116     PetscReal *yreal;
6117     PetscInt  i,n;
6118     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6119     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6120     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6121     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6122     ierr = PetscFree(yreal);CHKERRQ(ierr);
6123   }
6124 #else
6125   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6126 #endif
6127   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6128   ierr = VecDestroy(&y);CHKERRQ(ierr);
6129   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6130     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6131   }
6132   PetscFunctionReturn(0);
6133 }
6134 
6135 #undef __FUNCT__
6136 #define __FUNCT__ "TSMonitorLGSNESIterations"
6137 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6138 {
6139   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6140   PetscReal      x   = ptime,y;
6141   PetscErrorCode ierr;
6142   PetscInt       its;
6143 
6144   PetscFunctionBegin;
6145   if (!n) {
6146     PetscDrawAxis axis;
6147 
6148     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6149     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6150     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6151 
6152     ctx->snes_its = 0;
6153   }
6154   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6155   y    = its - ctx->snes_its;
6156   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6157   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6158     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6159   }
6160   ctx->snes_its = its;
6161   PetscFunctionReturn(0);
6162 }
6163 
6164 #undef __FUNCT__
6165 #define __FUNCT__ "TSMonitorLGKSPIterations"
6166 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6167 {
6168   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6169   PetscReal      x   = ptime,y;
6170   PetscErrorCode ierr;
6171   PetscInt       its;
6172 
6173   PetscFunctionBegin;
6174   if (!n) {
6175     PetscDrawAxis axis;
6176 
6177     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6178     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6179     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6180 
6181     ctx->ksp_its = 0;
6182   }
6183   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6184   y    = its - ctx->ksp_its;
6185   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6186   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6187     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6188   }
6189   ctx->ksp_its = its;
6190   PetscFunctionReturn(0);
6191 }
6192 
6193 #undef __FUNCT__
6194 #define __FUNCT__ "TSComputeLinearStability"
6195 /*@
6196    TSComputeLinearStability - computes the linear stability function at a point
6197 
6198    Collective on TS and Vec
6199 
6200    Input Parameters:
6201 +  ts - the TS context
6202 -  xr,xi - real and imaginary part of input arguments
6203 
6204    Output Parameters:
6205 .  yr,yi - real and imaginary part of function value
6206 
6207    Level: developer
6208 
6209 .keywords: TS, compute
6210 
6211 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6212 @*/
6213 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6214 {
6215   PetscErrorCode ierr;
6216 
6217   PetscFunctionBegin;
6218   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6219   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6220   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6221   PetscFunctionReturn(0);
6222 }
6223 
6224 /* ------------------------------------------------------------------------*/
6225 #undef __FUNCT__
6226 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6227 /*@C
6228    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6229 
6230    Collective on TS
6231 
6232    Input Parameters:
6233 .  ts  - the ODE solver object
6234 
6235    Output Parameter:
6236 .  ctx - the context
6237 
6238    Level: intermediate
6239 
6240 .keywords: TS, monitor, line graph, residual, seealso
6241 
6242 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
6243 
6244 @*/
6245 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
6246 {
6247   PetscErrorCode ierr;
6248 
6249   PetscFunctionBegin;
6250   ierr = PetscNew(ctx);CHKERRQ(ierr);
6251   PetscFunctionReturn(0);
6252 }
6253 
6254 #undef __FUNCT__
6255 #define __FUNCT__ "TSMonitorEnvelope"
6256 /*@C
6257    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
6258 
6259    Collective on TS
6260 
6261    Input Parameters:
6262 +  ts - the TS context
6263 .  step - current time-step
6264 .  ptime - current time
6265 -  ctx - the envelope context
6266 
6267    Options Database:
6268 .  -ts_monitor_envelope
6269 
6270    Level: intermediate
6271 
6272    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
6273 
6274 .keywords: TS,  vector, monitor, view
6275 
6276 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds()
6277 @*/
6278 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6279 {
6280   PetscErrorCode       ierr;
6281   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dummy;
6282 
6283   PetscFunctionBegin;
6284   if (!ctx->max) {
6285     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
6286     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
6287     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
6288     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
6289   } else {
6290     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
6291     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
6292   }
6293   PetscFunctionReturn(0);
6294 }
6295 
6296 
6297 #undef __FUNCT__
6298 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
6299 /*@C
6300    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
6301 
6302    Collective on TS
6303 
6304    Input Parameter:
6305 .  ts - the TS context
6306 
6307    Output Parameter:
6308 +  max - the maximum values
6309 -  min - the minimum values
6310 
6311    Level: intermediate
6312 
6313 .keywords: TS,  vector, monitor, view
6314 
6315 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6316 @*/
6317 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
6318 {
6319   PetscInt i;
6320 
6321   PetscFunctionBegin;
6322   if (max) *max = NULL;
6323   if (min) *min = NULL;
6324   for (i=0; i<ts->numbermonitors; i++) {
6325     if (ts->monitor[i] == TSMonitorEnvelope) {
6326       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
6327       if (max) *max = ctx->max;
6328       if (min) *min = ctx->min;
6329       break;
6330     }
6331   }
6332   PetscFunctionReturn(0);
6333 }
6334 
6335 #undef __FUNCT__
6336 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
6337 /*@C
6338    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
6339 
6340    Collective on TSMonitorEnvelopeCtx
6341 
6342    Input Parameter:
6343 .  ctx - the monitor context
6344 
6345    Level: intermediate
6346 
6347 .keywords: TS, monitor, line graph, destroy
6348 
6349 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
6350 @*/
6351 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
6352 {
6353   PetscErrorCode ierr;
6354 
6355   PetscFunctionBegin;
6356   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
6357   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
6358   ierr = PetscFree(*ctx);CHKERRQ(ierr);
6359   PetscFunctionReturn(0);
6360 }
6361 
6362 #undef __FUNCT__
6363 #define __FUNCT__ "TSRollBack"
6364 /*@
6365    TSRollBack - Rolls back one time step
6366 
6367    Collective on TS
6368 
6369    Input Parameter:
6370 .  ts - the TS context obtained from TSCreate()
6371 
6372    Level: advanced
6373 
6374 .keywords: TS, timestep, rollback
6375 
6376 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
6377 @*/
6378 PetscErrorCode  TSRollBack(TS ts)
6379 {
6380   PetscErrorCode ierr;
6381 
6382   PetscFunctionBegin;
6383   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6384 
6385   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
6386   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
6387   ts->time_step = ts->ptime - ts->ptime_prev;
6388   ts->ptime = ts->ptime_prev;
6389   ts->steprollback = PETSC_TRUE; /* Flag to indicate that the step is rollbacked */
6390   PetscFunctionReturn(0);
6391 }
6392 
6393 #undef __FUNCT__
6394 #define __FUNCT__ "TSGetStages"
6395 /*@
6396    TSGetStages - Get the number of stages and stage values
6397 
6398    Input Parameter:
6399 .  ts - the TS context obtained from TSCreate()
6400 
6401    Level: advanced
6402 
6403 .keywords: TS, getstages
6404 
6405 .seealso: TSCreate()
6406 @*/
6407 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
6408 {
6409   PetscErrorCode ierr;
6410 
6411   PetscFunctionBegin;
6412   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6413   PetscValidPointer(ns,2);
6414 
6415   if (!ts->ops->getstages) *ns=0;
6416   else {
6417     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
6418   }
6419   PetscFunctionReturn(0);
6420 }
6421 
6422 #undef __FUNCT__
6423 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
6424 /*@C
6425   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
6426 
6427   Collective on SNES
6428 
6429   Input Parameters:
6430 + ts - the TS context
6431 . t - current timestep
6432 . U - state vector
6433 . Udot - time derivative of state vector
6434 . shift - shift to apply, see note below
6435 - ctx - an optional user context
6436 
6437   Output Parameters:
6438 + J - Jacobian matrix (not altered in this routine)
6439 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
6440 
6441   Level: intermediate
6442 
6443   Notes:
6444   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
6445 
6446   dF/dU + shift*dF/dUdot
6447 
6448   Most users should not need to explicitly call this routine, as it
6449   is used internally within the nonlinear solvers.
6450 
6451   This will first try to get the coloring from the DM.  If the DM type has no coloring
6452   routine, then it will try to get the coloring from the matrix.  This requires that the
6453   matrix have nonzero entries precomputed.
6454 
6455 .keywords: TS, finite differences, Jacobian, coloring, sparse
6456 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
6457 @*/
6458 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
6459 {
6460   SNES           snes;
6461   MatFDColoring  color;
6462   PetscBool      hascolor, matcolor = PETSC_FALSE;
6463   PetscErrorCode ierr;
6464 
6465   PetscFunctionBegin;
6466   ierr = PetscOptionsGetBool(((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
6467   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
6468   if (!color) {
6469     DM         dm;
6470     ISColoring iscoloring;
6471 
6472     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
6473     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
6474     if (hascolor && !matcolor) {
6475       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
6476       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6477       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6478       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6479       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6480       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6481     } else {
6482       MatColoring mc;
6483 
6484       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
6485       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
6486       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
6487       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
6488       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
6489       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
6490       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6491       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6492       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6493       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6494       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6495     }
6496     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
6497     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
6498   }
6499   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
6500   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
6501   if (J != B) {
6502     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6503     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6504   }
6505   PetscFunctionReturn(0);
6506 }
6507 
6508 #undef  __FUNCT__
6509 #define __FUNCT__ "TSClone"
6510 /*@C
6511   TSClone - This function clones a time step object.
6512 
6513   Collective on MPI_Comm
6514 
6515   Input Parameter:
6516 . tsin    - The input TS
6517 
6518   Output Parameter:
6519 . tsout   - The output TS (cloned)
6520 
6521   Notes:
6522   This function is used to create a clone of a TS object. It is used in ARKIMEX for initializing the slope for first stage explicit methods. It will likely be replaced in the future with a mechanism of switching methods on the fly.
6523 
6524   When using TSDestroy() on a clone the user has to first reset the correct TS reference in the embedded SNES object: e.g.: by running SNES snes_dup=NULL; TSGetSNES(ts,&snes_dup); ierr = TSSetSNES(ts,snes_dup);
6525 
6526   Level: developer
6527 
6528 .keywords: TS, clone
6529 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
6530 @*/
6531 PetscErrorCode  TSClone(TS tsin, TS *tsout)
6532 {
6533   TS             t;
6534   PetscErrorCode ierr;
6535   SNES           snes_start;
6536   DM             dm;
6537   TSType         type;
6538 
6539   PetscFunctionBegin;
6540   PetscValidPointer(tsin,1);
6541   *tsout = NULL;
6542 
6543   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
6544 
6545   /* General TS description */
6546   t->numbermonitors    = 0;
6547   t->setupcalled       = 0;
6548   t->ksp_its           = 0;
6549   t->snes_its          = 0;
6550   t->nwork             = 0;
6551   t->rhsjacobian.time  = -1e20;
6552   t->rhsjacobian.scale = 1.;
6553   t->ijacobian.shift   = 1.;
6554 
6555   ierr = TSGetSNES(tsin,&snes_start);                   CHKERRQ(ierr);
6556   ierr = TSSetSNES(t,snes_start);                       CHKERRQ(ierr);
6557 
6558   ierr = TSGetDM(tsin,&dm);                             CHKERRQ(ierr);
6559   ierr = TSSetDM(t,dm);                                 CHKERRQ(ierr);
6560 
6561   t->adapt=tsin->adapt;
6562   PetscObjectReference((PetscObject)t->adapt);
6563 
6564   t->problem_type      = tsin->problem_type;
6565   t->ptime             = tsin->ptime;
6566   t->time_step         = tsin->time_step;
6567   t->time_step_orig    = tsin->time_step_orig;
6568   t->max_time          = tsin->max_time;
6569   t->steps             = tsin->steps;
6570   t->max_steps         = tsin->max_steps;
6571   t->equation_type     = tsin->equation_type;
6572   t->atol              = tsin->atol;
6573   t->rtol              = tsin->rtol;
6574   t->max_snes_failures = tsin->max_snes_failures;
6575   t->max_reject        = tsin->max_reject;
6576   t->errorifstepfailed = tsin->errorifstepfailed;
6577 
6578   ierr = TSGetType(tsin,&type); CHKERRQ(ierr);
6579   ierr = TSSetType(t,type);     CHKERRQ(ierr);
6580 
6581   t->vec_sol           = NULL;
6582 
6583   t->cfltime          = tsin->cfltime;
6584   t->cfltime_local    = tsin->cfltime_local;
6585   t->exact_final_time = tsin->exact_final_time;
6586 
6587   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
6588 
6589   *tsout = t;
6590   PetscFunctionReturn(0);
6591 }
6592