xref: /petsc/src/ts/interface/ts.c (revision ad8e26048d5e2f552b5f15f71fe8cd76ee6c3899)
1 
2 #include <petsc-private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 #undef __FUNCT__
15 #define __FUNCT__ "TSSetTypeFromOptions_Private"
16 /*
17   TSSetTypeFromOptions - Sets the type of ts from user options.
18 
19   Collective on TS
20 
21   Input Parameter:
22 . ts - The ts
23 
24   Level: intermediate
25 
26 .keywords: TS, set, options, database, type
27 .seealso: TSSetFromOptions(), TSSetType()
28 */
29 static PetscErrorCode TSSetTypeFromOptions_Private(PetscOptions *PetscOptionsObject,TS ts)
30 {
31   PetscBool      opt;
32   const char     *defaultType;
33   char           typeName[256];
34   PetscErrorCode ierr;
35 
36   PetscFunctionBegin;
37   if (((PetscObject)ts)->type_name) defaultType = ((PetscObject)ts)->type_name;
38   else defaultType = TSEULER;
39 
40   if (!TSRegisterAllCalled) {ierr = TSRegisterAll();CHKERRQ(ierr);}
41   ierr = PetscOptionsFList("-ts_type", "TS method"," TSSetType", TSList, defaultType, typeName, 256, &opt);CHKERRQ(ierr);
42   if (opt) {
43     ierr = TSSetType(ts, typeName);CHKERRQ(ierr);
44   } else {
45     ierr = TSSetType(ts, defaultType);CHKERRQ(ierr);
46   }
47   PetscFunctionReturn(0);
48 }
49 
50 struct _n_TSMonitorDrawCtx {
51   PetscViewer   viewer;
52   PetscDrawAxis axis;
53   Vec           initialsolution;
54   PetscBool     showinitial;
55   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
56   PetscBool     showtimestepandtime;
57   int           color;
58 };
59 
60 #undef __FUNCT__
61 #define __FUNCT__ "TSSetFromOptions"
62 /*@
63    TSSetFromOptions - Sets various TS parameters from user options.
64 
65    Collective on TS
66 
67    Input Parameter:
68 .  ts - the TS context obtained from TSCreate()
69 
70    Options Database Keys:
71 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSGL, TSSSP
72 .  -ts_checkpoint - checkpoint for adjoint sensitivity analysis
73 .  -ts_max_steps maxsteps - maximum number of time-steps to take
74 .  -ts_final_time time - maximum time to compute to
75 .  -ts_dt dt - initial time step
76 .  -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
77 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
78 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
79 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
80 .  -ts_rtol <rtol> - relative tolerance for local truncation error
81 .  -ts_atol <atol> Absolute tolerance for local truncation error
82 .  -ts_monitor - print information at each timestep
83 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
84 .  -ts_monitor_lg_solution - Monitor solution graphically
85 .  -ts_monitor_lg_error - Monitor error graphically
86 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
87 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
88 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
89 .  -ts_monitor_draw_solution - Monitor solution graphically
90 .  -ts_monitor_draw_solution_phase - Monitor solution graphically with phase diagram
91 .  -ts_monitor_draw_error - Monitor error graphically
92 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
93 -  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
94 
95    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
96 
97    Level: beginner
98 
99 .keywords: TS, timestep, set, options, database
100 
101 .seealso: TSGetType()
102 @*/
103 PetscErrorCode  TSSetFromOptions(TS ts)
104 {
105   PetscBool              opt,flg;
106   PetscErrorCode         ierr;
107   PetscViewer            monviewer;
108   char                   monfilename[PETSC_MAX_PATH_LEN];
109   SNES                   snes;
110   TSAdapt                adapt;
111   PetscReal              time_step;
112   TSExactFinalTimeOption eftopt;
113   char                   dir[16];
114 
115   PetscFunctionBegin;
116   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
117   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
118   /* Handle TS type options */
119   ierr = TSSetTypeFromOptions_Private(PetscOptionsObject,ts);CHKERRQ(ierr);
120 
121   /* Handle generic TS options */
122   ierr = PetscOptionsBool("-ts_checkpoint","Checkpoint for adjoint sensitivity analysis","TSSetCheckpoint",ts->checkpoint,&ts->checkpoint,NULL);CHKERRQ(ierr);
123   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
124   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
125   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
126   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
127   if (flg) {
128     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
129   }
130   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);
131   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
132   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
133   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
134   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
135   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
136   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
137 
138 #if defined(PETSC_HAVE_SAWS)
139   {
140   PetscBool set;
141   flg  = PETSC_FALSE;
142   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
143   if (set) {
144     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
145   }
146   }
147 #endif
148 
149   /* Monitor options */
150   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
151   if (flg) {
152     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
153     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
154   }
155   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
156   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
157 
158   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
159   if (opt) {
160     TSMonitorLGCtx ctx;
161     PetscInt       howoften = 1;
162 
163     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
164     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
165     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
166   }
167   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
168   if (opt) {
169     TSMonitorLGCtx ctx;
170     PetscInt       howoften = 1;
171 
172     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
173     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
174     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
175   }
176   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
177   if (opt) {
178     TSMonitorLGCtx ctx;
179     PetscInt       howoften = 1;
180 
181     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
182     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
183     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
184   }
185   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
186   if (opt) {
187     TSMonitorLGCtx ctx;
188     PetscInt       howoften = 1;
189 
190     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
191     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
192     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
193   }
194   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
195   if (opt) {
196     TSMonitorLGCtx ctx;
197     PetscInt       howoften = 1;
198 
199     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
200     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
201     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
202   }
203   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
204   if (opt) {
205     TSMonitorSPEigCtx ctx;
206     PetscInt          howoften = 1;
207 
208     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
209     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
210     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
211   }
212   opt  = PETSC_FALSE;
213   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
214   if (opt) {
215     TSMonitorDrawCtx ctx;
216     PetscInt         howoften = 1;
217 
218     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
219     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
220     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
221   }
222   opt  = PETSC_FALSE;
223   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
224   if (opt) {
225     TSMonitorDrawCtx ctx;
226     PetscReal        bounds[4];
227     PetscInt         n = 4;
228     PetscDraw        draw;
229 
230     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
231     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
232     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
233     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
234     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
235     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
236     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
237     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
238     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
239     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
240     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
241   }
242   opt  = PETSC_FALSE;
243   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
244   if (opt) {
245     TSMonitorDrawCtx ctx;
246     PetscInt         howoften = 1;
247 
248     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
249     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
250     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
251   }
252   opt  = PETSC_FALSE;
253   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
254   if (flg) {
255     PetscViewer ctx;
256     if (monfilename[0]) {
257       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
258       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
259     } else {
260       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
261       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
262     }
263   }
264   opt  = PETSC_FALSE;
265   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);
266   if (flg) {
267     const char *ptr,*ptr2;
268     char       *filetemplate;
269     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
270     /* Do some cursory validation of the input. */
271     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
272     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
273     for (ptr++; ptr && *ptr; ptr++) {
274       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
275       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");
276       if (ptr2) break;
277     }
278     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
280   }
281 
282   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
283   if (flg) {
284     TSMonitorDMDARayCtx *rayctx;
285     int                  ray = 0;
286     DMDADirection        ddir;
287     DM                   da;
288     PetscMPIInt          rank;
289 
290     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
291     if (dir[0] == 'x') ddir = DMDA_X;
292     else if (dir[0] == 'y') ddir = DMDA_Y;
293     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
294     sscanf(dir+2,"%d",&ray);
295 
296     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
297     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
298     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
299     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
300     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
301     if (!rank) {
302       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
303     }
304     rayctx->lgctx = NULL;
305     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
306   }
307   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
308   if (flg) {
309     TSMonitorDMDARayCtx *rayctx;
310     int                 ray = 0;
311     DMDADirection       ddir;
312     DM                  da;
313     PetscInt            howoften = 1;
314 
315     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
316     if      (dir[0] == 'x') ddir = DMDA_X;
317     else if (dir[0] == 'y') ddir = DMDA_Y;
318     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
319     sscanf(dir+2, "%d", &ray);
320 
321     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
322     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
323     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
324     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
325     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
326     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
327   }
328 
329   /*
330      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
331      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
332   */
333   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
334   ierr = TSAdaptSetFromOptions(PetscOptionsObject,adapt);CHKERRQ(ierr);
335 
336   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
337   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
338 
339   /* Handle specific TS options */
340   if (ts->ops->setfromoptions) {
341     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
342   }
343 
344   /* process any options handlers added with PetscObjectAddOptionsHandler() */
345   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
346   ierr = PetscOptionsEnd();CHKERRQ(ierr);
347   PetscFunctionReturn(0);
348 }
349 
350 #undef __FUNCT__
351 #define __FUNCT__ "TSSetCheckpoint"
352 /*@
353    TSSetCheckpoint - Allows one to checkpoint the forward run,
354    useful for adjoint sensitivity analysis.
355 
356    Collective on TS
357 
358    Input Parameters:
359 +  ts - the TS context obtained from TSCreate()
360 -  checkpoint - flag that indicates if the forward solution will be checkpointed
361 
362    Level: intermediate
363 
364 .seealso:
365 
366 .keywords: TS, set, checkpoint
367 @*/
368 PetscErrorCode  TSSetCheckpoint(TS ts,PetscBool checkpoint)
369 {
370   PetscFunctionBegin;
371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
372   ts->checkpoint = checkpoint;
373   PetscFunctionReturn(0);
374 }
375 
376 #undef __FUNCT__
377 #define __FUNCT__ "TSSetReverseMode"
378 /*@
379    TSSetRunMode - Allows one to reset the run mode,
380    useful for adjoint sensitivity analysis.
381 
382    Collective on TS
383 
384    Input Parameters:
385 +  ts - the TS context obtained from TSCreate()
386 -  reverse_mode - run in forward (default) or reverse mode
387 
388    Level: intermediate
389 
390 .seealso:
391 
392 .keywords: TS, set, reverse
393 @*/
394 PetscErrorCode  TSSetReverseMode(TS ts,PetscBool reverse_mode)
395 {
396   PetscFunctionBegin;
397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
398   ts->reverse_mode = reverse_mode;
399   PetscFunctionReturn(0);
400 }
401 
402 #undef __FUNCT__
403 #define __FUNCT__ "TSComputeRHSJacobian"
404 /*@
405    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
406       set with TSSetRHSJacobian().
407 
408    Collective on TS and Vec
409 
410    Input Parameters:
411 +  ts - the TS context
412 .  t - current timestep
413 -  U - input vector
414 
415    Output Parameters:
416 +  A - Jacobian matrix
417 .  B - optional preconditioning matrix
418 -  flag - flag indicating matrix structure
419 
420    Notes:
421    Most users should not need to explicitly call this routine, as it
422    is used internally within the nonlinear solvers.
423 
424    See KSPSetOperators() for important information about setting the
425    flag parameter.
426 
427    Level: developer
428 
429 .keywords: SNES, compute, Jacobian, matrix
430 
431 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
432 @*/
433 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
434 {
435   PetscErrorCode ierr;
436   PetscObjectState Ustate;
437   DM             dm;
438   DMTS           tsdm;
439   TSRHSJacobian  rhsjacobianfunc;
440   void           *ctx;
441   TSIJacobian    ijacobianfunc;
442 
443   PetscFunctionBegin;
444   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
445   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
446   PetscCheckSameComm(ts,1,U,3);
447   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
448   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
449   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
450   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
451   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
452   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
453     PetscFunctionReturn(0);
454   }
455 
456   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
457 
458   if (ts->rhsjacobian.reuse) {
459     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
460     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
461     if (A != B) {
462       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
463       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
464     }
465     ts->rhsjacobian.shift = 0;
466     ts->rhsjacobian.scale = 1.;
467   }
468 
469   if (rhsjacobianfunc) {
470     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
471     PetscStackPush("TS user Jacobian function");
472     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
473     PetscStackPop;
474     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
475     /* make sure user returned a correct Jacobian and preconditioner */
476     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
477     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
478   } else {
479     ierr = MatZeroEntries(A);CHKERRQ(ierr);
480     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
481   }
482   ts->rhsjacobian.time       = t;
483   ts->rhsjacobian.X          = U;
484   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
485   PetscFunctionReturn(0);
486 }
487 
488 #undef __FUNCT__
489 #define __FUNCT__ "TSComputeRHSFunction"
490 /*@
491    TSComputeRHSFunction - Evaluates the right-hand-side function.
492 
493    Collective on TS and Vec
494 
495    Input Parameters:
496 +  ts - the TS context
497 .  t - current time
498 -  U - state vector
499 
500    Output Parameter:
501 .  y - right hand side
502 
503    Note:
504    Most users should not need to explicitly call this routine, as it
505    is used internally within the nonlinear solvers.
506 
507    Level: developer
508 
509 .keywords: TS, compute
510 
511 .seealso: TSSetRHSFunction(), TSComputeIFunction()
512 @*/
513 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
514 {
515   PetscErrorCode ierr;
516   TSRHSFunction  rhsfunction;
517   TSIFunction    ifunction;
518   void           *ctx;
519   DM             dm;
520 
521   PetscFunctionBegin;
522   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
523   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
524   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
525   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
526   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
527   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
528 
529   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
530 
531   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
532   if (rhsfunction) {
533     PetscStackPush("TS user right-hand-side function");
534     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
535     PetscStackPop;
536   } else {
537     ierr = VecZeroEntries(y);CHKERRQ(ierr);
538   }
539 
540   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
541   PetscFunctionReturn(0);
542 }
543 
544 #undef __FUNCT__
545 #define __FUNCT__ "TSComputeSolutionFunction"
546 /*@
547    TSComputeSolutionFunction - Evaluates the solution function.
548 
549    Collective on TS and Vec
550 
551    Input Parameters:
552 +  ts - the TS context
553 -  t - current time
554 
555    Output Parameter:
556 .  U - the solution
557 
558    Note:
559    Most users should not need to explicitly call this routine, as it
560    is used internally within the nonlinear solvers.
561 
562    Level: developer
563 
564 .keywords: TS, compute
565 
566 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
567 @*/
568 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
569 {
570   PetscErrorCode     ierr;
571   TSSolutionFunction solutionfunction;
572   void               *ctx;
573   DM                 dm;
574 
575   PetscFunctionBegin;
576   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
577   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
578   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
579   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
580 
581   if (solutionfunction) {
582     PetscStackPush("TS user solution function");
583     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
584     PetscStackPop;
585   }
586   PetscFunctionReturn(0);
587 }
588 #undef __FUNCT__
589 #define __FUNCT__ "TSComputeForcingFunction"
590 /*@
591    TSComputeForcingFunction - Evaluates the forcing function.
592 
593    Collective on TS and Vec
594 
595    Input Parameters:
596 +  ts - the TS context
597 -  t - current time
598 
599    Output Parameter:
600 .  U - the function value
601 
602    Note:
603    Most users should not need to explicitly call this routine, as it
604    is used internally within the nonlinear solvers.
605 
606    Level: developer
607 
608 .keywords: TS, compute
609 
610 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
611 @*/
612 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
613 {
614   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
615   void               *ctx;
616   DM                 dm;
617 
618   PetscFunctionBegin;
619   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
620   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
621   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
622   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
623 
624   if (forcing) {
625     PetscStackPush("TS user forcing function");
626     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
627     PetscStackPop;
628   }
629   PetscFunctionReturn(0);
630 }
631 
632 #undef __FUNCT__
633 #define __FUNCT__ "TSGetRHSVec_Private"
634 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
635 {
636   Vec            F;
637   PetscErrorCode ierr;
638 
639   PetscFunctionBegin;
640   *Frhs = NULL;
641   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
642   if (!ts->Frhs) {
643     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
644   }
645   *Frhs = ts->Frhs;
646   PetscFunctionReturn(0);
647 }
648 
649 #undef __FUNCT__
650 #define __FUNCT__ "TSGetRHSMats_Private"
651 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
652 {
653   Mat            A,B;
654   PetscErrorCode ierr;
655 
656   PetscFunctionBegin;
657   if (Arhs) *Arhs = NULL;
658   if (Brhs) *Brhs = NULL;
659   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
660   if (Arhs) {
661     if (!ts->Arhs) {
662       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
663     }
664     *Arhs = ts->Arhs;
665   }
666   if (Brhs) {
667     if (!ts->Brhs) {
668       if (A != B) {
669         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
670       } else {
671         ts->Brhs = ts->Arhs;
672         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
673       }
674     }
675     *Brhs = ts->Brhs;
676   }
677   PetscFunctionReturn(0);
678 }
679 
680 #undef __FUNCT__
681 #define __FUNCT__ "TSComputeIFunction"
682 /*@
683    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
684 
685    Collective on TS and Vec
686 
687    Input Parameters:
688 +  ts - the TS context
689 .  t - current time
690 .  U - state vector
691 .  Udot - time derivative of state vector
692 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
693 
694    Output Parameter:
695 .  Y - right hand side
696 
697    Note:
698    Most users should not need to explicitly call this routine, as it
699    is used internally within the nonlinear solvers.
700 
701    If the user did did not write their equations in implicit form, this
702    function recasts them in implicit form.
703 
704    Level: developer
705 
706 .keywords: TS, compute
707 
708 .seealso: TSSetIFunction(), TSComputeRHSFunction()
709 @*/
710 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
711 {
712   PetscErrorCode ierr;
713   TSIFunction    ifunction;
714   TSRHSFunction  rhsfunction;
715   void           *ctx;
716   DM             dm;
717 
718   PetscFunctionBegin;
719   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
720   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
721   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
722   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
723 
724   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
725   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
726   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
727 
728   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
729 
730   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
731   if (ifunction) {
732     PetscStackPush("TS user implicit function");
733     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
734     PetscStackPop;
735   }
736   if (imex) {
737     if (!ifunction) {
738       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
739     }
740   } else if (rhsfunction) {
741     if (ifunction) {
742       Vec Frhs;
743       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
744       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
745       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
746     } else {
747       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
748       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
749     }
750   }
751   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
752   PetscFunctionReturn(0);
753 }
754 
755 #undef __FUNCT__
756 #define __FUNCT__ "TSComputeIJacobian"
757 /*@
758    TSComputeIJacobian - Evaluates the Jacobian of the DAE
759 
760    Collective on TS and Vec
761 
762    Input
763       Input Parameters:
764 +  ts - the TS context
765 .  t - current timestep
766 .  U - state vector
767 .  Udot - time derivative of state vector
768 .  shift - shift to apply, see note below
769 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
770 
771    Output Parameters:
772 +  A - Jacobian matrix
773 .  B - optional preconditioning matrix
774 -  flag - flag indicating matrix structure
775 
776    Notes:
777    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
778 
779    dF/dU + shift*dF/dUdot
780 
781    Most users should not need to explicitly call this routine, as it
782    is used internally within the nonlinear solvers.
783 
784    Level: developer
785 
786 .keywords: TS, compute, Jacobian, matrix
787 
788 .seealso:  TSSetIJacobian()
789 @*/
790 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
791 {
792   PetscErrorCode ierr;
793   TSIJacobian    ijacobian;
794   TSRHSJacobian  rhsjacobian;
795   DM             dm;
796   void           *ctx;
797 
798   PetscFunctionBegin;
799   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
800   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
801   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
802   PetscValidPointer(A,6);
803   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
804   PetscValidPointer(B,7);
805   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
806 
807   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
808   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
809   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
810 
811   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
812 
813   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
814   if (ijacobian) {
815     PetscStackPush("TS user implicit Jacobian");
816     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
817     PetscStackPop;
818     /* make sure user returned a correct Jacobian and preconditioner */
819     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
820     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
821   }
822   if (imex) {
823     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
824       ierr = MatZeroEntries(A);CHKERRQ(ierr);
825       ierr = MatShift(A,shift);CHKERRQ(ierr);
826       if (A != B) {
827         ierr = MatZeroEntries(B);CHKERRQ(ierr);
828         ierr = MatShift(B,shift);CHKERRQ(ierr);
829       }
830     }
831   } else {
832     Mat Arhs = NULL,Brhs = NULL;
833     if (rhsjacobian) {
834       if (ijacobian) {
835         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
836       } else {
837         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
838       }
839       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
840     }
841     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
842       ts->rhsjacobian.scale = -1;
843       ts->rhsjacobian.shift = shift;
844       ierr = MatScale(A,-1);CHKERRQ(ierr);
845       ierr = MatShift(A,shift);CHKERRQ(ierr);
846       if (A != B) {
847         ierr = MatScale(B,-1);CHKERRQ(ierr);
848         ierr = MatShift(B,shift);CHKERRQ(ierr);
849       }
850     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
851       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
852       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
853         ierr = MatZeroEntries(A);CHKERRQ(ierr);
854         ierr = MatShift(A,shift);CHKERRQ(ierr);
855         if (A != B) {
856           ierr = MatZeroEntries(B);CHKERRQ(ierr);
857           ierr = MatShift(B,shift);CHKERRQ(ierr);
858         }
859       }
860       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
861       if (A != B) {
862         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
863       }
864     }
865   }
866   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
867   PetscFunctionReturn(0);
868 }
869 
870 #undef __FUNCT__
871 #define __FUNCT__ "TSSetRHSFunction"
872 /*@C
873     TSSetRHSFunction - Sets the routine for evaluating the function,
874     where U_t = G(t,u).
875 
876     Logically Collective on TS
877 
878     Input Parameters:
879 +   ts - the TS context obtained from TSCreate()
880 .   r - vector to put the computed right hand side (or NULL to have it created)
881 .   f - routine for evaluating the right-hand-side function
882 -   ctx - [optional] user-defined context for private data for the
883           function evaluation routine (may be NULL)
884 
885     Calling sequence of func:
886 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
887 
888 +   t - current timestep
889 .   u - input vector
890 .   F - function vector
891 -   ctx - [optional] user-defined function context
892 
893     Level: beginner
894 
895 .keywords: TS, timestep, set, right-hand-side, function
896 
897 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
898 @*/
899 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
900 {
901   PetscErrorCode ierr;
902   SNES           snes;
903   Vec            ralloc = NULL;
904   DM             dm;
905 
906   PetscFunctionBegin;
907   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
908   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
909 
910   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
911   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
912   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
913   if (!r && !ts->dm && ts->vec_sol) {
914     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
915     r    = ralloc;
916   }
917   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
918   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
919   PetscFunctionReturn(0);
920 }
921 
922 #undef __FUNCT__
923 #define __FUNCT__ "TSSetSolutionFunction"
924 /*@C
925     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
926 
927     Logically Collective on TS
928 
929     Input Parameters:
930 +   ts - the TS context obtained from TSCreate()
931 .   f - routine for evaluating the solution
932 -   ctx - [optional] user-defined context for private data for the
933           function evaluation routine (may be NULL)
934 
935     Calling sequence of func:
936 $     func (TS ts,PetscReal t,Vec u,void *ctx);
937 
938 +   t - current timestep
939 .   u - output vector
940 -   ctx - [optional] user-defined function context
941 
942     Notes:
943     This routine is used for testing accuracy of time integration schemes when you already know the solution.
944     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
945     create closed-form solutions with non-physical forcing terms.
946 
947     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
948 
949     Level: beginner
950 
951 .keywords: TS, timestep, set, right-hand-side, function
952 
953 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
954 @*/
955 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
956 {
957   PetscErrorCode ierr;
958   DM             dm;
959 
960   PetscFunctionBegin;
961   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
962   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
963   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
964   PetscFunctionReturn(0);
965 }
966 
967 #undef __FUNCT__
968 #define __FUNCT__ "TSSetForcingFunction"
969 /*@C
970     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
971 
972     Logically Collective on TS
973 
974     Input Parameters:
975 +   ts - the TS context obtained from TSCreate()
976 .   f - routine for evaluating the forcing function
977 -   ctx - [optional] user-defined context for private data for the
978           function evaluation routine (may be NULL)
979 
980     Calling sequence of func:
981 $     func (TS ts,PetscReal t,Vec u,void *ctx);
982 
983 +   t - current timestep
984 .   u - output vector
985 -   ctx - [optional] user-defined function context
986 
987     Notes:
988     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
989     create closed-form solutions with a non-physical forcing term.
990 
991     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
992 
993     Level: beginner
994 
995 .keywords: TS, timestep, set, right-hand-side, function
996 
997 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
998 @*/
999 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1000 {
1001   PetscErrorCode ierr;
1002   DM             dm;
1003 
1004   PetscFunctionBegin;
1005   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1006   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1007   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1008   PetscFunctionReturn(0);
1009 }
1010 
1011 #undef __FUNCT__
1012 #define __FUNCT__ "TSSetRHSJacobian"
1013 /*@C
1014    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
1015    where U_t = G(U,t), as well as the location to store the matrix.
1016 
1017    Logically Collective on TS
1018 
1019    Input Parameters:
1020 +  ts  - the TS context obtained from TSCreate()
1021 .  Amat - (approximate) Jacobian matrix
1022 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1023 .  f   - the Jacobian evaluation routine
1024 -  ctx - [optional] user-defined context for private data for the
1025          Jacobian evaluation routine (may be NULL)
1026 
1027    Calling sequence of func:
1028 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1029 
1030 +  t - current timestep
1031 .  u - input vector
1032 .  Amat - (approximate) Jacobian matrix
1033 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1034 -  ctx - [optional] user-defined context for matrix evaluation routine
1035 
1036 
1037    Level: beginner
1038 
1039 .keywords: TS, timestep, set, right-hand-side, Jacobian
1040 
1041 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1042 
1043 @*/
1044 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1045 {
1046   PetscErrorCode ierr;
1047   SNES           snes;
1048   DM             dm;
1049   TSIJacobian    ijacobian;
1050 
1051   PetscFunctionBegin;
1052   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1053   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1054   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1055   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1056   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1057 
1058   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1059   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1060   if (f == TSComputeRHSJacobianConstant) {
1061     /* Handle this case automatically for the user; otherwise user should call themselves. */
1062     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1063   }
1064   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1065   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1066   if (!ijacobian) {
1067     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1068   }
1069   if (Amat) {
1070     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1071     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1072 
1073     ts->Arhs = Amat;
1074   }
1075   if (Pmat) {
1076     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1077     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1078 
1079     ts->Brhs = Pmat;
1080   }
1081   PetscFunctionReturn(0);
1082 }
1083 
1084 
1085 #undef __FUNCT__
1086 #define __FUNCT__ "TSSetIFunction"
1087 /*@C
1088    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1089 
1090    Logically Collective on TS
1091 
1092    Input Parameters:
1093 +  ts  - the TS context obtained from TSCreate()
1094 .  r   - vector to hold the residual (or NULL to have it created internally)
1095 .  f   - the function evaluation routine
1096 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1097 
1098    Calling sequence of f:
1099 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1100 
1101 +  t   - time at step/stage being solved
1102 .  u   - state vector
1103 .  u_t - time derivative of state vector
1104 .  F   - function vector
1105 -  ctx - [optional] user-defined context for matrix evaluation routine
1106 
1107    Important:
1108    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1109 
1110    Level: beginner
1111 
1112 .keywords: TS, timestep, set, DAE, Jacobian
1113 
1114 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1115 @*/
1116 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1117 {
1118   PetscErrorCode ierr;
1119   SNES           snes;
1120   Vec            resalloc = NULL;
1121   DM             dm;
1122 
1123   PetscFunctionBegin;
1124   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1125   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1126 
1127   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1128   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1129 
1130   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1131   if (!res && !ts->dm && ts->vec_sol) {
1132     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1133     res  = resalloc;
1134   }
1135   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1136   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1137   PetscFunctionReturn(0);
1138 }
1139 
1140 #undef __FUNCT__
1141 #define __FUNCT__ "TSGetIFunction"
1142 /*@C
1143    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1144 
1145    Not Collective
1146 
1147    Input Parameter:
1148 .  ts - the TS context
1149 
1150    Output Parameter:
1151 +  r - vector to hold residual (or NULL)
1152 .  func - the function to compute residual (or NULL)
1153 -  ctx - the function context (or NULL)
1154 
1155    Level: advanced
1156 
1157 .keywords: TS, nonlinear, get, function
1158 
1159 .seealso: TSSetIFunction(), SNESGetFunction()
1160 @*/
1161 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1162 {
1163   PetscErrorCode ierr;
1164   SNES           snes;
1165   DM             dm;
1166 
1167   PetscFunctionBegin;
1168   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1169   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1170   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1171   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1172   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1173   PetscFunctionReturn(0);
1174 }
1175 
1176 #undef __FUNCT__
1177 #define __FUNCT__ "TSGetRHSFunction"
1178 /*@C
1179    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1180 
1181    Not Collective
1182 
1183    Input Parameter:
1184 .  ts - the TS context
1185 
1186    Output Parameter:
1187 +  r - vector to hold computed right hand side (or NULL)
1188 .  func - the function to compute right hand side (or NULL)
1189 -  ctx - the function context (or NULL)
1190 
1191    Level: advanced
1192 
1193 .keywords: TS, nonlinear, get, function
1194 
1195 .seealso: TSSetRhsfunction(), SNESGetFunction()
1196 @*/
1197 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1198 {
1199   PetscErrorCode ierr;
1200   SNES           snes;
1201   DM             dm;
1202 
1203   PetscFunctionBegin;
1204   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1205   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1206   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1207   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1208   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1209   PetscFunctionReturn(0);
1210 }
1211 
1212 #undef __FUNCT__
1213 #define __FUNCT__ "TSSetIJacobian"
1214 /*@C
1215    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1216         provided with TSSetIFunction().
1217 
1218    Logically Collective on TS
1219 
1220    Input Parameters:
1221 +  ts  - the TS context obtained from TSCreate()
1222 .  Amat - (approximate) Jacobian matrix
1223 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1224 .  f   - the Jacobian evaluation routine
1225 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1226 
1227    Calling sequence of f:
1228 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1229 
1230 +  t    - time at step/stage being solved
1231 .  U    - state vector
1232 .  U_t  - time derivative of state vector
1233 .  a    - shift
1234 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1235 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1236 -  ctx  - [optional] user-defined context for matrix evaluation routine
1237 
1238    Notes:
1239    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1240 
1241    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1242    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1243    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1244    a and vector W depend on the integration method, step size, and past states. For example with
1245    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1246    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1247 
1248    Level: beginner
1249 
1250 .keywords: TS, timestep, DAE, Jacobian
1251 
1252 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1253 
1254 @*/
1255 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1256 {
1257   PetscErrorCode ierr;
1258   SNES           snes;
1259   DM             dm;
1260 
1261   PetscFunctionBegin;
1262   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1263   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1264   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1265   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1266   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1267 
1268   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1269   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1270 
1271   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1272   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1273   PetscFunctionReturn(0);
1274 }
1275 
1276 #undef __FUNCT__
1277 #define __FUNCT__ "TSRHSJacobianSetReuse"
1278 /*@
1279    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1280    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1281    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1282    not been changed by the TS.
1283 
1284    Logically Collective
1285 
1286    Input Arguments:
1287 +  ts - TS context obtained from TSCreate()
1288 -  reuse - PETSC_TRUE if the RHS Jacobian
1289 
1290    Level: intermediate
1291 
1292 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1293 @*/
1294 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1295 {
1296   PetscFunctionBegin;
1297   ts->rhsjacobian.reuse = reuse;
1298   PetscFunctionReturn(0);
1299 }
1300 
1301 #undef __FUNCT__
1302 #define __FUNCT__ "TSLoad"
1303 /*@C
1304   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1305 
1306   Collective on PetscViewer
1307 
1308   Input Parameters:
1309 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1310            some related function before a call to TSLoad().
1311 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1312 
1313    Level: intermediate
1314 
1315   Notes:
1316    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1317 
1318   Notes for advanced users:
1319   Most users should not need to know the details of the binary storage
1320   format, since TSLoad() and TSView() completely hide these details.
1321   But for anyone who's interested, the standard binary matrix storage
1322   format is
1323 .vb
1324      has not yet been determined
1325 .ve
1326 
1327 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1328 @*/
1329 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1330 {
1331   PetscErrorCode ierr;
1332   PetscBool      isbinary;
1333   PetscInt       classid;
1334   char           type[256];
1335   DMTS           sdm;
1336   DM             dm;
1337 
1338   PetscFunctionBegin;
1339   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1340   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1341   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1342   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1343 
1344   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1345   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1346   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1347   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1348   if (ts->ops->load) {
1349     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1350   }
1351   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1352   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1353   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1354   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1355   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1356   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1357   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1358   PetscFunctionReturn(0);
1359 }
1360 
1361 #include <petscdraw.h>
1362 #if defined(PETSC_HAVE_SAWS)
1363 #include <petscviewersaws.h>
1364 #endif
1365 #undef __FUNCT__
1366 #define __FUNCT__ "TSView"
1367 /*@C
1368     TSView - Prints the TS data structure.
1369 
1370     Collective on TS
1371 
1372     Input Parameters:
1373 +   ts - the TS context obtained from TSCreate()
1374 -   viewer - visualization context
1375 
1376     Options Database Key:
1377 .   -ts_view - calls TSView() at end of TSStep()
1378 
1379     Notes:
1380     The available visualization contexts include
1381 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1382 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1383          output where only the first processor opens
1384          the file.  All other processors send their
1385          data to the first processor to print.
1386 
1387     The user can open an alternative visualization context with
1388     PetscViewerASCIIOpen() - output to a specified file.
1389 
1390     Level: beginner
1391 
1392 .keywords: TS, timestep, view
1393 
1394 .seealso: PetscViewerASCIIOpen()
1395 @*/
1396 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1397 {
1398   PetscErrorCode ierr;
1399   TSType         type;
1400   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1401   DMTS           sdm;
1402 #if defined(PETSC_HAVE_SAWS)
1403   PetscBool      isams;
1404 #endif
1405 
1406   PetscFunctionBegin;
1407   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1408   if (!viewer) {
1409     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1410   }
1411   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1412   PetscCheckSameComm(ts,1,viewer,2);
1413 
1414   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1415   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1416   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1417   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1418 #if defined(PETSC_HAVE_SAWS)
1419   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&isams);CHKERRQ(ierr);
1420 #endif
1421   if (iascii) {
1422     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1423     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1424     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1425     if (ts->problem_type == TS_NONLINEAR) {
1426       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1427       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1428     }
1429     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1430     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1431     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1432     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1433     if (ts->ops->view) {
1434       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1435       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1436       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1437     }
1438   } else if (isstring) {
1439     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1440     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1441   } else if (isbinary) {
1442     PetscInt    classid = TS_FILE_CLASSID;
1443     MPI_Comm    comm;
1444     PetscMPIInt rank;
1445     char        type[256];
1446 
1447     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1448     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1449     if (!rank) {
1450       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1451       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1452       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1453     }
1454     if (ts->ops->view) {
1455       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1456     }
1457     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1458     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1459     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1460     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1461   } else if (isdraw) {
1462     PetscDraw draw;
1463     char      str[36];
1464     PetscReal x,y,bottom,h;
1465 
1466     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1467     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1468     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1469     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1470     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1471     bottom = y - h;
1472     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1473     if (ts->ops->view) {
1474       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1475     }
1476     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1477 #if defined(PETSC_HAVE_SAWS)
1478   } else if (isams) {
1479     PetscMPIInt rank;
1480     const char  *name;
1481 
1482     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1483     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1484     if (!((PetscObject)ts)->amsmem && !rank) {
1485       char       dir[1024];
1486 
1487       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1488       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1489       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1490       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1491       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1492     }
1493     if (ts->ops->view) {
1494       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1495     }
1496 #endif
1497   }
1498 
1499   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1500   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1501   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1502   PetscFunctionReturn(0);
1503 }
1504 
1505 
1506 #undef __FUNCT__
1507 #define __FUNCT__ "TSSetApplicationContext"
1508 /*@
1509    TSSetApplicationContext - Sets an optional user-defined context for
1510    the timesteppers.
1511 
1512    Logically Collective on TS
1513 
1514    Input Parameters:
1515 +  ts - the TS context obtained from TSCreate()
1516 -  usrP - optional user context
1517 
1518    Level: intermediate
1519 
1520 .keywords: TS, timestep, set, application, context
1521 
1522 .seealso: TSGetApplicationContext()
1523 @*/
1524 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1525 {
1526   PetscFunctionBegin;
1527   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1528   ts->user = usrP;
1529   PetscFunctionReturn(0);
1530 }
1531 
1532 #undef __FUNCT__
1533 #define __FUNCT__ "TSGetApplicationContext"
1534 /*@
1535     TSGetApplicationContext - Gets the user-defined context for the
1536     timestepper.
1537 
1538     Not Collective
1539 
1540     Input Parameter:
1541 .   ts - the TS context obtained from TSCreate()
1542 
1543     Output Parameter:
1544 .   usrP - user context
1545 
1546     Level: intermediate
1547 
1548 .keywords: TS, timestep, get, application, context
1549 
1550 .seealso: TSSetApplicationContext()
1551 @*/
1552 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1553 {
1554   PetscFunctionBegin;
1555   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1556   *(void**)usrP = ts->user;
1557   PetscFunctionReturn(0);
1558 }
1559 
1560 #undef __FUNCT__
1561 #define __FUNCT__ "TSGetTimeStepNumber"
1562 /*@
1563    TSGetTimeStepNumber - Gets the number of time steps completed.
1564 
1565    Not Collective
1566 
1567    Input Parameter:
1568 .  ts - the TS context obtained from TSCreate()
1569 
1570    Output Parameter:
1571 .  iter - number of steps completed so far
1572 
1573    Level: intermediate
1574 
1575 .keywords: TS, timestep, get, iteration, number
1576 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1577 @*/
1578 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1579 {
1580   PetscFunctionBegin;
1581   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1582   PetscValidIntPointer(iter,2);
1583   *iter = ts->steps;
1584   PetscFunctionReturn(0);
1585 }
1586 
1587 #undef __FUNCT__
1588 #define __FUNCT__ "TSSetInitialTimeStep"
1589 /*@
1590    TSSetInitialTimeStep - Sets the initial timestep to be used,
1591    as well as the initial time.
1592 
1593    Logically Collective on TS
1594 
1595    Input Parameters:
1596 +  ts - the TS context obtained from TSCreate()
1597 .  initial_time - the initial time
1598 -  time_step - the size of the timestep
1599 
1600    Level: intermediate
1601 
1602 .seealso: TSSetTimeStep(), TSGetTimeStep()
1603 
1604 .keywords: TS, set, initial, timestep
1605 @*/
1606 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1607 {
1608   PetscErrorCode ierr;
1609 
1610   PetscFunctionBegin;
1611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1612   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1613   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1614   PetscFunctionReturn(0);
1615 }
1616 
1617 #undef __FUNCT__
1618 #define __FUNCT__ "TSSetTimeStep"
1619 /*@
1620    TSSetTimeStep - Allows one to reset the timestep at any time,
1621    useful for simple pseudo-timestepping codes.
1622 
1623    Logically Collective on TS
1624 
1625    Input Parameters:
1626 +  ts - the TS context obtained from TSCreate()
1627 -  time_step - the size of the timestep
1628 
1629    Level: intermediate
1630 
1631 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1632 
1633 .keywords: TS, set, timestep
1634 @*/
1635 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1636 {
1637   PetscFunctionBegin;
1638   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1639   PetscValidLogicalCollectiveReal(ts,time_step,2);
1640   ts->time_step      = time_step;
1641   ts->time_step_orig = time_step;
1642   PetscFunctionReturn(0);
1643 }
1644 
1645 #undef __FUNCT__
1646 #define __FUNCT__ "TSSetExactFinalTime"
1647 /*@
1648    TSSetExactFinalTime - Determines whether to adapt the final time step to
1649      match the exact final time, interpolate solution to the exact final time,
1650      or just return at the final time TS computed.
1651 
1652   Logically Collective on TS
1653 
1654    Input Parameter:
1655 +   ts - the time-step context
1656 -   eftopt - exact final time option
1657 
1658    Level: beginner
1659 
1660 .seealso: TSExactFinalTimeOption
1661 @*/
1662 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1663 {
1664   PetscFunctionBegin;
1665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1666   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1667   ts->exact_final_time = eftopt;
1668   PetscFunctionReturn(0);
1669 }
1670 
1671 #undef __FUNCT__
1672 #define __FUNCT__ "TSGetTimeStep"
1673 /*@
1674    TSGetTimeStep - Gets the current timestep size.
1675 
1676    Not Collective
1677 
1678    Input Parameter:
1679 .  ts - the TS context obtained from TSCreate()
1680 
1681    Output Parameter:
1682 .  dt - the current timestep size
1683 
1684    Level: intermediate
1685 
1686 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1687 
1688 .keywords: TS, get, timestep
1689 @*/
1690 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1691 {
1692   PetscFunctionBegin;
1693   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1694   PetscValidRealPointer(dt,2);
1695   *dt = ts->time_step;
1696   PetscFunctionReturn(0);
1697 }
1698 
1699 #undef __FUNCT__
1700 #define __FUNCT__ "TSGetSolution"
1701 /*@
1702    TSGetSolution - Returns the solution at the present timestep. It
1703    is valid to call this routine inside the function that you are evaluating
1704    in order to move to the new timestep. This vector not changed until
1705    the solution at the next timestep has been calculated.
1706 
1707    Not Collective, but Vec returned is parallel if TS is parallel
1708 
1709    Input Parameter:
1710 .  ts - the TS context obtained from TSCreate()
1711 
1712    Output Parameter:
1713 .  v - the vector containing the solution
1714 
1715    Level: intermediate
1716 
1717 .seealso: TSGetTimeStep()
1718 
1719 .keywords: TS, timestep, get, solution
1720 @*/
1721 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1722 {
1723   PetscFunctionBegin;
1724   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1725   PetscValidPointer(v,2);
1726   *v = ts->vec_sol;
1727   PetscFunctionReturn(0);
1728 }
1729 
1730 #undef __FUNCT__
1731 #define __FUNCT__ "TSGetSensitivity"
1732 /*@
1733    TSGetSensitivity - Returns the sensitivity in the reverse mode.
1734 
1735    Not Collective, but Vec returned is parallel if TS is parallel
1736 
1737    Input Parameter:
1738 .  ts - the TS context obtained from TSCreate()
1739 
1740    Output Parameter:
1741 .  v - the vector containing the solution
1742 
1743    Level: intermediate
1744 
1745 .seealso: TSGetTimeStep()
1746 
1747 .keywords: TS, timestep, get, sensitivity
1748 @*/
1749 PetscErrorCode  TSGetSensitivity(TS ts,Vec **v,PetscInt *numberadjs)
1750 {
1751   PetscFunctionBegin;
1752   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1753   PetscValidPointer(v,2);
1754   *v          = ts->vecs_sensi;
1755   if(numberadjs) *numberadjs = ts->numberadjs;
1756   PetscFunctionReturn(0);
1757 }
1758 
1759 /* ----- Routines to initialize and destroy a timestepper ---- */
1760 #undef __FUNCT__
1761 #define __FUNCT__ "TSSetProblemType"
1762 /*@
1763   TSSetProblemType - Sets the type of problem to be solved.
1764 
1765   Not collective
1766 
1767   Input Parameters:
1768 + ts   - The TS
1769 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1770 .vb
1771          U_t - A U = 0      (linear)
1772          U_t - A(t) U = 0   (linear)
1773          F(t,U,U_t) = 0     (nonlinear)
1774 .ve
1775 
1776    Level: beginner
1777 
1778 .keywords: TS, problem type
1779 .seealso: TSSetUp(), TSProblemType, TS
1780 @*/
1781 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1782 {
1783   PetscErrorCode ierr;
1784 
1785   PetscFunctionBegin;
1786   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1787   ts->problem_type = type;
1788   if (type == TS_LINEAR) {
1789     SNES snes;
1790     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1791     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1792   }
1793   PetscFunctionReturn(0);
1794 }
1795 
1796 #undef __FUNCT__
1797 #define __FUNCT__ "TSGetProblemType"
1798 /*@C
1799   TSGetProblemType - Gets the type of problem to be solved.
1800 
1801   Not collective
1802 
1803   Input Parameter:
1804 . ts   - The TS
1805 
1806   Output Parameter:
1807 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1808 .vb
1809          M U_t = A U
1810          M(t) U_t = A(t) U
1811          F(t,U,U_t)
1812 .ve
1813 
1814    Level: beginner
1815 
1816 .keywords: TS, problem type
1817 .seealso: TSSetUp(), TSProblemType, TS
1818 @*/
1819 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1820 {
1821   PetscFunctionBegin;
1822   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1823   PetscValidIntPointer(type,2);
1824   *type = ts->problem_type;
1825   PetscFunctionReturn(0);
1826 }
1827 
1828 #undef __FUNCT__
1829 #define __FUNCT__ "TSSetUp"
1830 /*@
1831    TSSetUp - Sets up the internal data structures for the later use
1832    of a timestepper.
1833 
1834    Collective on TS
1835 
1836    Input Parameter:
1837 .  ts - the TS context obtained from TSCreate()
1838 
1839    Notes:
1840    For basic use of the TS solvers the user need not explicitly call
1841    TSSetUp(), since these actions will automatically occur during
1842    the call to TSStep().  However, if one wishes to control this
1843    phase separately, TSSetUp() should be called after TSCreate()
1844    and optional routines of the form TSSetXXX(), but before TSStep().
1845 
1846    Level: advanced
1847 
1848 .keywords: TS, timestep, setup
1849 
1850 .seealso: TSCreate(), TSStep(), TSDestroy()
1851 @*/
1852 PetscErrorCode  TSSetUp(TS ts)
1853 {
1854   PetscErrorCode ierr;
1855   DM             dm;
1856   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1857   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1858   TSIJacobian    ijac;
1859   TSRHSJacobian  rhsjac;
1860 
1861   PetscFunctionBegin;
1862   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1863   if (ts->setupcalled) PetscFunctionReturn(0);
1864 
1865   if (!((PetscObject)ts)->type_name) {
1866     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1867   }
1868 
1869   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1870 
1871   if (ts->reverse_mode && !ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSensitivity() first");
1872 
1873   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1874 
1875   if (ts->rhsjacobian.reuse) {
1876     Mat Amat,Pmat;
1877     SNES snes;
1878     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1879     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1880     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1881      * have displaced the RHS matrix */
1882     if (Amat == ts->Arhs) {
1883       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1884       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1885       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1886     }
1887     if (Pmat == ts->Brhs) {
1888       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1889       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1890       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1891     }
1892   }
1893 
1894   if (ts->ops->setup) {
1895     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1896   }
1897 
1898   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1899    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1900    */
1901   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1902   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1903   if (!func) {
1904     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1905   }
1906   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1907      Otherwise, the SNES will use coloring internally to form the Jacobian.
1908    */
1909   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1910   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1911   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1912   if (!jac && (ijac || rhsjac)) {
1913     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1914   }
1915   ts->setupcalled = PETSC_TRUE;
1916   PetscFunctionReturn(0);
1917 }
1918 
1919 #undef __FUNCT__
1920 #define __FUNCT__ "TSReset"
1921 /*@
1922    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1923 
1924    Collective on TS
1925 
1926    Input Parameter:
1927 .  ts - the TS context obtained from TSCreate()
1928 
1929    Level: beginner
1930 
1931 .keywords: TS, timestep, reset
1932 
1933 .seealso: TSCreate(), TSSetup(), TSDestroy()
1934 @*/
1935 PetscErrorCode  TSReset(TS ts)
1936 {
1937   PetscInt       i;
1938   PetscErrorCode ierr;
1939 
1940   PetscFunctionBegin;
1941   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1942 
1943   if (ts->ops->reset) {
1944     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1945   }
1946   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1947 
1948   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1949   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1950   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1951   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1952   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1953   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1954   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1955   if (ts->reverse_mode) {
1956     for (i=0; i<ts->numberadjs; i++) {
1957       ierr = VecDestroy(&ts->vecs_sensi[i]);CHKERRQ(ierr);
1958     }
1959     if (ts->vecs_sensip) {
1960       for (i=0; i<ts->numberadjs; i++) {
1961         ierr = VecDestroy(&ts->vecs_sensip[i]);CHKERRQ(ierr);
1962       }
1963       ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
1964     }
1965   }
1966   ts->setupcalled = PETSC_FALSE;
1967   PetscFunctionReturn(0);
1968 }
1969 
1970 #undef __FUNCT__
1971 #define __FUNCT__ "TSDestroy"
1972 /*@
1973    TSDestroy - Destroys the timestepper context that was created
1974    with TSCreate().
1975 
1976    Collective on TS
1977 
1978    Input Parameter:
1979 .  ts - the TS context obtained from TSCreate()
1980 
1981    Level: beginner
1982 
1983 .keywords: TS, timestepper, destroy
1984 
1985 .seealso: TSCreate(), TSSetUp(), TSSolve()
1986 @*/
1987 PetscErrorCode  TSDestroy(TS *ts)
1988 {
1989   PetscErrorCode ierr;
1990 
1991   PetscFunctionBegin;
1992   if (!*ts) PetscFunctionReturn(0);
1993   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1994   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1995 
1996   ierr = TSReset((*ts));CHKERRQ(ierr);
1997 
1998   /* if memory was published with SAWs then destroy it */
1999   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2000   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2001 
2002   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2003   if ((*ts)->event) {
2004     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2005   }
2006   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2007   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2008   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2009 
2010   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2011   PetscFunctionReturn(0);
2012 }
2013 
2014 #undef __FUNCT__
2015 #define __FUNCT__ "TSGetSNES"
2016 /*@
2017    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2018    a TS (timestepper) context. Valid only for nonlinear problems.
2019 
2020    Not Collective, but SNES is parallel if TS is parallel
2021 
2022    Input Parameter:
2023 .  ts - the TS context obtained from TSCreate()
2024 
2025    Output Parameter:
2026 .  snes - the nonlinear solver context
2027 
2028    Notes:
2029    The user can then directly manipulate the SNES context to set various
2030    options, etc.  Likewise, the user can then extract and manipulate the
2031    KSP, KSP, and PC contexts as well.
2032 
2033    TSGetSNES() does not work for integrators that do not use SNES; in
2034    this case TSGetSNES() returns NULL in snes.
2035 
2036    Level: beginner
2037 
2038 .keywords: timestep, get, SNES
2039 @*/
2040 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2041 {
2042   PetscErrorCode ierr;
2043 
2044   PetscFunctionBegin;
2045   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2046   PetscValidPointer(snes,2);
2047   if (!ts->snes) {
2048     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2049     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2050     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2051     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2052     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2053     if (ts->problem_type == TS_LINEAR) {
2054       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2055     }
2056   }
2057   *snes = ts->snes;
2058   PetscFunctionReturn(0);
2059 }
2060 
2061 #undef __FUNCT__
2062 #define __FUNCT__ "TSSetSNES"
2063 /*@
2064    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2065 
2066    Collective
2067 
2068    Input Parameter:
2069 +  ts - the TS context obtained from TSCreate()
2070 -  snes - the nonlinear solver context
2071 
2072    Notes:
2073    Most users should have the TS created by calling TSGetSNES()
2074 
2075    Level: developer
2076 
2077 .keywords: timestep, set, SNES
2078 @*/
2079 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2080 {
2081   PetscErrorCode ierr;
2082   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2083 
2084   PetscFunctionBegin;
2085   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2086   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2087   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2088   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2089 
2090   ts->snes = snes;
2091 
2092   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2093   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2094   if (func == SNESTSFormJacobian) {
2095     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2096   }
2097   PetscFunctionReturn(0);
2098 }
2099 
2100 #undef __FUNCT__
2101 #define __FUNCT__ "TSGetKSP"
2102 /*@
2103    TSGetKSP - Returns the KSP (linear solver) associated with
2104    a TS (timestepper) context.
2105 
2106    Not Collective, but KSP is parallel if TS is parallel
2107 
2108    Input Parameter:
2109 .  ts - the TS context obtained from TSCreate()
2110 
2111    Output Parameter:
2112 .  ksp - the nonlinear solver context
2113 
2114    Notes:
2115    The user can then directly manipulate the KSP context to set various
2116    options, etc.  Likewise, the user can then extract and manipulate the
2117    KSP and PC contexts as well.
2118 
2119    TSGetKSP() does not work for integrators that do not use KSP;
2120    in this case TSGetKSP() returns NULL in ksp.
2121 
2122    Level: beginner
2123 
2124 .keywords: timestep, get, KSP
2125 @*/
2126 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2127 {
2128   PetscErrorCode ierr;
2129   SNES           snes;
2130 
2131   PetscFunctionBegin;
2132   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2133   PetscValidPointer(ksp,2);
2134   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2135   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2136   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2137   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2138   PetscFunctionReturn(0);
2139 }
2140 
2141 /* ----------- Routines to set solver parameters ---------- */
2142 
2143 #undef __FUNCT__
2144 #define __FUNCT__ "TSGetDuration"
2145 /*@
2146    TSGetDuration - Gets the maximum number of timesteps to use and
2147    maximum time for iteration.
2148 
2149    Not Collective
2150 
2151    Input Parameters:
2152 +  ts       - the TS context obtained from TSCreate()
2153 .  maxsteps - maximum number of iterations to use, or NULL
2154 -  maxtime  - final time to iterate to, or NULL
2155 
2156    Level: intermediate
2157 
2158 .keywords: TS, timestep, get, maximum, iterations, time
2159 @*/
2160 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2161 {
2162   PetscFunctionBegin;
2163   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2164   if (maxsteps) {
2165     PetscValidIntPointer(maxsteps,2);
2166     *maxsteps = ts->max_steps;
2167   }
2168   if (maxtime) {
2169     PetscValidScalarPointer(maxtime,3);
2170     *maxtime = ts->max_time;
2171   }
2172   PetscFunctionReturn(0);
2173 }
2174 
2175 #undef __FUNCT__
2176 #define __FUNCT__ "TSSetDuration"
2177 /*@
2178    TSSetDuration - Sets the maximum number of timesteps to use and
2179    maximum time for iteration.
2180 
2181    Logically Collective on TS
2182 
2183    Input Parameters:
2184 +  ts - the TS context obtained from TSCreate()
2185 .  maxsteps - maximum number of iterations to use
2186 -  maxtime - final time to iterate to
2187 
2188    Options Database Keys:
2189 .  -ts_max_steps <maxsteps> - Sets maxsteps
2190 .  -ts_final_time <maxtime> - Sets maxtime
2191 
2192    Notes:
2193    The default maximum number of iterations is 5000. Default time is 5.0
2194 
2195    Level: intermediate
2196 
2197 .keywords: TS, timestep, set, maximum, iterations
2198 
2199 .seealso: TSSetExactFinalTime()
2200 @*/
2201 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2202 {
2203   PetscFunctionBegin;
2204   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2205   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2206   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2207   if (maxsteps >= 0) ts->max_steps = maxsteps;
2208   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2209   PetscFunctionReturn(0);
2210 }
2211 
2212 #undef __FUNCT__
2213 #define __FUNCT__ "TSSetSolution"
2214 /*@
2215    TSSetSolution - Sets the initial solution vector
2216    for use by the TS routines.
2217 
2218    Logically Collective on TS and Vec
2219 
2220    Input Parameters:
2221 +  ts - the TS context obtained from TSCreate()
2222 -  u - the solution vector
2223 
2224    Level: beginner
2225 
2226 .keywords: TS, timestep, set, solution, initial conditions
2227 @*/
2228 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2229 {
2230   PetscErrorCode ierr;
2231   DM             dm;
2232 
2233   PetscFunctionBegin;
2234   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2235   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2236   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2237   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2238 
2239   ts->vec_sol = u;
2240 
2241   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2242   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2243   PetscFunctionReturn(0);
2244 }
2245 
2246 #undef __FUNCT__
2247 #define __FUNCT__ "TSSetSensitivity"
2248 /*@
2249    TSSetSensitivity - Sets the initial value of sensitivity (w.r.t. initial conditions)
2250    for use by the TS routines.
2251 
2252    Logically Collective on TS and Vec
2253 
2254    Input Parameters:
2255 +  ts - the TS context obtained from TSCreate()
2256 -  u - the solution vector
2257 
2258    Level: beginner
2259 
2260 .keywords: TS, timestep, set, sensitivity, initial conditions
2261 @*/
2262 PetscErrorCode  TSSetSensitivity(TS ts,Vec *u,PetscInt numberadjs)
2263 {
2264   PetscErrorCode ierr;
2265   DM             dm;
2266   PetscInt       i;
2267 
2268   PetscFunctionBegin;
2269   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2270   PetscValidPointer(u,2);
2271   for (i=0; i<numberadjs; i++) {
2272     ierr = PetscObjectReference((PetscObject)u[i]);CHKERRQ(ierr);
2273   }
2274   if(ts->vecs_sensi) {
2275     ierr = VecDestroyVecs(ts->numberadjs,&ts->vecs_sensi);CHKERRQ(ierr);
2276   }
2277   ts->vecs_sensi = u;
2278   if(ts->numberadjs && ts->numberadjs!=numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of adjoint variables (3rd parameter) is inconsistent with the one set by TSSetSensitivityP()");
2279   ts->numberadjs = numberadjs;
2280 
2281   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2282   ierr = DMShellSetGlobalVector(dm,u[0]);CHKERRQ(ierr); /* is this necessary?*/
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 #undef __FUNCT__
2287 #define __FUNCT__ "TSSetSensitivityP"
2288 /*@
2289    TSSetSensitivityP - Sets the initial value of sensitivity (w.r.t. parameters)
2290    for use by the TS routines.
2291 
2292    Logically Collective on TS and Vec
2293 
2294    Input Parameters:
2295 +  ts - the TS context obtained from TSCreate()
2296 -  u - the solution vector
2297 
2298    Level: beginner
2299 
2300 .keywords: TS, timestep, set, sensitivity, initial conditions
2301 @*/
2302 PetscErrorCode  TSSetSensitivityP(TS ts,Vec *u,PetscInt numberadjs)
2303 {
2304   PetscErrorCode ierr;
2305   PetscInt       i;
2306 
2307   PetscFunctionBegin;
2308   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2309   PetscValidPointer(u,2);
2310   for (i=0; i<numberadjs; i++) {
2311     ierr = PetscObjectReference((PetscObject)u[i]);CHKERRQ(ierr);
2312   }
2313   if(ts->vecs_sensip) {
2314     ierr = VecDestroyVecs(ts->numberadjs,&ts->vecs_sensip);CHKERRQ(ierr);
2315   }
2316   ts->vecs_sensip = u;
2317   if(ts->numberadjs && ts->numberadjs!=numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of adjoint variables (3rd parameter) is inconsistent with the one set by TSSetSensitivity()");
2318   ts->numberadjs = numberadjs;
2319 
2320   PetscFunctionReturn(0);
2321 }
2322 
2323 #undef __FUNCT__
2324 #define __FUNCT__ "TSSetRHSJacobianP"
2325 /*@C
2326   TSSetRHSJacobianP - Sets the function that computes the Jacobian w.r.t. parameters.
2327 
2328   Logically Collective on TS
2329 
2330   Input Parameters:
2331 + ts   - The TS context obtained from TSCreate()
2332 - func - The function
2333 
2334   Calling sequence of func:
2335 . func (TS ts);
2336 
2337   Level: intermediate
2338 
2339 
2340 .keywords: TS, sensitivity
2341 .seealso:
2342 @*/
2343 PetscErrorCode  TSSetRHSJacobianP(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2344 {
2345   PetscErrorCode ierr;
2346 
2347   PetscFunctionBegin;
2348   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2349   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2350 
2351   ts->rhsjacobianp    = func;
2352   ts->rhsjacobianpctx = ctx;
2353   if(Amat) {
2354     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2355     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2356 
2357     ts->Jacp = Amat;
2358   }
2359   PetscFunctionReturn(0);
2360 }
2361 
2362 #undef __FUNCT__
2363 #define __FUNCT__ "TSRHSJacobianP"
2364 /*@
2365   TSRHSJacobianP - Runs the user-defined JacobianP function.
2366 
2367   Collective on TS
2368 
2369   Input Parameters:
2370 . ts   - The TS context obtained from TSCreate()
2371 
2372   Notes:
2373   TSJacobianP() is typically used for sensitivity implementation,
2374   so most users would not generally call this routine themselves.
2375 
2376   Level: developer
2377 
2378 .keywords: TS, sensitivity
2379 .seealso: TSSetRHSJacobianP()
2380 @*/
2381 PetscErrorCode  TSRHSJacobianP(TS ts,PetscReal t,Vec X,Mat Amat)
2382 {
2383   PetscErrorCode ierr;
2384 
2385   PetscFunctionBegin;
2386   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2387   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2388   PetscValidPointer(Amat,4);
2389 
2390   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2391   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2392   PetscStackPop;
2393 
2394   PetscFunctionReturn(0);
2395 }
2396 
2397 #undef __FUNCT__
2398 #define __FUNCT__ "TSSetPreStep"
2399 /*@C
2400   TSSetPreStep - Sets the general-purpose function
2401   called once at the beginning of each time step.
2402 
2403   Logically Collective on TS
2404 
2405   Input Parameters:
2406 + ts   - The TS context obtained from TSCreate()
2407 - func - The function
2408 
2409   Calling sequence of func:
2410 . func (TS ts);
2411 
2412   Level: intermediate
2413 
2414   Note:
2415   If a step is rejected, TSStep() will call this routine again before each attempt.
2416   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2417   size of the step being attempted can be obtained using TSGetTimeStep().
2418 
2419 .keywords: TS, timestep
2420 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2421 @*/
2422 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2423 {
2424   PetscFunctionBegin;
2425   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2426   ts->prestep = func;
2427   PetscFunctionReturn(0);
2428 }
2429 
2430 #undef __FUNCT__
2431 #define __FUNCT__ "TSPreStep"
2432 /*@
2433   TSPreStep - Runs the user-defined pre-step function.
2434 
2435   Collective on TS
2436 
2437   Input Parameters:
2438 . ts   - The TS context obtained from TSCreate()
2439 
2440   Notes:
2441   TSPreStep() is typically used within time stepping implementations,
2442   so most users would not generally call this routine themselves.
2443 
2444   Level: developer
2445 
2446 .keywords: TS, timestep
2447 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2448 @*/
2449 PetscErrorCode  TSPreStep(TS ts)
2450 {
2451   PetscErrorCode ierr;
2452 
2453   PetscFunctionBegin;
2454   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2455   if (ts->prestep) {
2456     PetscStackCallStandard((*ts->prestep),(ts));
2457   }
2458   PetscFunctionReturn(0);
2459 }
2460 
2461 #undef __FUNCT__
2462 #define __FUNCT__ "TSSetPreStage"
2463 /*@C
2464   TSSetPreStage - Sets the general-purpose function
2465   called once at the beginning of each stage.
2466 
2467   Logically Collective on TS
2468 
2469   Input Parameters:
2470 + ts   - The TS context obtained from TSCreate()
2471 - func - The function
2472 
2473   Calling sequence of func:
2474 . PetscErrorCode func(TS ts, PetscReal stagetime);
2475 
2476   Level: intermediate
2477 
2478   Note:
2479   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2480   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2481   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2482 
2483 .keywords: TS, timestep
2484 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2485 @*/
2486 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2487 {
2488   PetscFunctionBegin;
2489   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2490   ts->prestage = func;
2491   PetscFunctionReturn(0);
2492 }
2493 
2494 #undef __FUNCT__
2495 #define __FUNCT__ "TSSetPostStage"
2496 /*@C
2497   TSSetPostStage - Sets the general-purpose function
2498   called once at the end of each stage.
2499 
2500   Logically Collective on TS
2501 
2502   Input Parameters:
2503 + ts   - The TS context obtained from TSCreate()
2504 - func - The function
2505 
2506   Calling sequence of func:
2507 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2508 
2509   Level: intermediate
2510 
2511   Note:
2512   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2513   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2514   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2515 
2516 .keywords: TS, timestep
2517 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2518 @*/
2519 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2520 {
2521   PetscFunctionBegin;
2522   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2523   ts->poststage = func;
2524   PetscFunctionReturn(0);
2525 }
2526 
2527 #undef __FUNCT__
2528 #define __FUNCT__ "TSPreStage"
2529 /*@
2530   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2531 
2532   Collective on TS
2533 
2534   Input Parameters:
2535 . ts          - The TS context obtained from TSCreate()
2536   stagetime   - The absolute time of the current stage
2537 
2538   Notes:
2539   TSPreStage() is typically used within time stepping implementations,
2540   most users would not generally call this routine themselves.
2541 
2542   Level: developer
2543 
2544 .keywords: TS, timestep
2545 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2546 @*/
2547 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2548 {
2549   PetscErrorCode ierr;
2550 
2551   PetscFunctionBegin;
2552   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2553   if (ts->prestage) {
2554     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2555   }
2556   PetscFunctionReturn(0);
2557 }
2558 
2559 #undef __FUNCT__
2560 #define __FUNCT__ "TSPostStage"
2561 /*@
2562   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2563 
2564   Collective on TS
2565 
2566   Input Parameters:
2567 . ts          - The TS context obtained from TSCreate()
2568   stagetime   - The absolute time of the current stage
2569   stageindex  - Stage number
2570   Y           - Array of vectors (of size = total number
2571                 of stages) with the stage solutions
2572 
2573   Notes:
2574   TSPostStage() is typically used within time stepping implementations,
2575   most users would not generally call this routine themselves.
2576 
2577   Level: developer
2578 
2579 .keywords: TS, timestep
2580 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2581 @*/
2582 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2583 {
2584   PetscErrorCode ierr;
2585 
2586   PetscFunctionBegin;
2587   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2588   if (ts->poststage) {
2589     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2590   }
2591   PetscFunctionReturn(0);
2592 }
2593 
2594 #undef __FUNCT__
2595 #define __FUNCT__ "TSSetPostStep"
2596 /*@C
2597   TSSetPostStep - Sets the general-purpose function
2598   called once at the end of each time step.
2599 
2600   Logically Collective on TS
2601 
2602   Input Parameters:
2603 + ts   - The TS context obtained from TSCreate()
2604 - func - The function
2605 
2606   Calling sequence of func:
2607 $ func (TS ts);
2608 
2609   Level: intermediate
2610 
2611 .keywords: TS, timestep
2612 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2613 @*/
2614 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2615 {
2616   PetscFunctionBegin;
2617   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2618   ts->poststep = func;
2619   PetscFunctionReturn(0);
2620 }
2621 
2622 #undef __FUNCT__
2623 #define __FUNCT__ "TSPostStep"
2624 /*@
2625   TSPostStep - Runs the user-defined post-step function.
2626 
2627   Collective on TS
2628 
2629   Input Parameters:
2630 . ts   - The TS context obtained from TSCreate()
2631 
2632   Notes:
2633   TSPostStep() is typically used within time stepping implementations,
2634   so most users would not generally call this routine themselves.
2635 
2636   Level: developer
2637 
2638 .keywords: TS, timestep
2639 @*/
2640 PetscErrorCode  TSPostStep(TS ts)
2641 {
2642   PetscErrorCode ierr;
2643 
2644   PetscFunctionBegin;
2645   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2646   if (ts->poststep) {
2647     PetscStackCallStandard((*ts->poststep),(ts));
2648   }
2649   PetscFunctionReturn(0);
2650 }
2651 
2652 /* ------------ Routines to set performance monitoring options ----------- */
2653 
2654 #undef __FUNCT__
2655 #define __FUNCT__ "TSMonitorSet"
2656 /*@C
2657    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2658    timestep to display the iteration's  progress.
2659 
2660    Logically Collective on TS
2661 
2662    Input Parameters:
2663 +  ts - the TS context obtained from TSCreate()
2664 .  monitor - monitoring routine
2665 .  mctx - [optional] user-defined context for private data for the
2666              monitor routine (use NULL if no context is desired)
2667 -  monitordestroy - [optional] routine that frees monitor context
2668           (may be NULL)
2669 
2670    Calling sequence of monitor:
2671 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2672 
2673 +    ts - the TS context
2674 .    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
2675                                been interpolated to)
2676 .    time - current time
2677 .    u - current iterate
2678 -    mctx - [optional] monitoring context
2679 
2680    Notes:
2681    This routine adds an additional monitor to the list of monitors that
2682    already has been loaded.
2683 
2684    Fortran notes: Only a single monitor function can be set for each TS object
2685 
2686    Level: intermediate
2687 
2688 .keywords: TS, timestep, set, monitor
2689 
2690 .seealso: TSMonitorDefault(), TSMonitorCancel()
2691 @*/
2692 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2693 {
2694   PetscFunctionBegin;
2695   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2696   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2697   ts->monitor[ts->numbermonitors]          = monitor;
2698   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2699   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2700   PetscFunctionReturn(0);
2701 }
2702 
2703 #undef __FUNCT__
2704 #define __FUNCT__ "TSMonitorCancel"
2705 /*@C
2706    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2707 
2708    Logically Collective on TS
2709 
2710    Input Parameters:
2711 .  ts - the TS context obtained from TSCreate()
2712 
2713    Notes:
2714    There is no way to remove a single, specific monitor.
2715 
2716    Level: intermediate
2717 
2718 .keywords: TS, timestep, set, monitor
2719 
2720 .seealso: TSMonitorDefault(), TSMonitorSet()
2721 @*/
2722 PetscErrorCode  TSMonitorCancel(TS ts)
2723 {
2724   PetscErrorCode ierr;
2725   PetscInt       i;
2726 
2727   PetscFunctionBegin;
2728   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2729   for (i=0; i<ts->numbermonitors; i++) {
2730     if (ts->monitordestroy[i]) {
2731       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2732     }
2733   }
2734   ts->numbermonitors = 0;
2735   PetscFunctionReturn(0);
2736 }
2737 
2738 #undef __FUNCT__
2739 #define __FUNCT__ "TSMonitorDefault"
2740 /*@
2741    TSMonitorDefault - Sets the Default monitor
2742 
2743    Level: intermediate
2744 
2745 .keywords: TS, set, monitor
2746 
2747 .seealso: TSMonitorDefault(), TSMonitorSet()
2748 @*/
2749 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2750 {
2751   PetscErrorCode ierr;
2752   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2753 
2754   PetscFunctionBegin;
2755   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2756   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2757   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2758   PetscFunctionReturn(0);
2759 }
2760 
2761 #undef __FUNCT__
2762 #define __FUNCT__ "TSSetRetainStages"
2763 /*@
2764    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2765 
2766    Logically Collective on TS
2767 
2768    Input Argument:
2769 .  ts - time stepping context
2770 
2771    Output Argument:
2772 .  flg - PETSC_TRUE or PETSC_FALSE
2773 
2774    Level: intermediate
2775 
2776 .keywords: TS, set
2777 
2778 .seealso: TSInterpolate(), TSSetPostStep()
2779 @*/
2780 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2781 {
2782   PetscFunctionBegin;
2783   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2784   ts->retain_stages = flg;
2785   PetscFunctionReturn(0);
2786 }
2787 
2788 #undef __FUNCT__
2789 #define __FUNCT__ "TSInterpolate"
2790 /*@
2791    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2792 
2793    Collective on TS
2794 
2795    Input Argument:
2796 +  ts - time stepping context
2797 -  t - time to interpolate to
2798 
2799    Output Argument:
2800 .  U - state at given time
2801 
2802    Notes:
2803    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2804 
2805    Level: intermediate
2806 
2807    Developer Notes:
2808    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2809 
2810 .keywords: TS, set
2811 
2812 .seealso: TSSetRetainStages(), TSSetPostStep()
2813 @*/
2814 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2815 {
2816   PetscErrorCode ierr;
2817 
2818   PetscFunctionBegin;
2819   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2820   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2821   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);
2822   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
2823   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
2824   PetscFunctionReturn(0);
2825 }
2826 
2827 #undef __FUNCT__
2828 #define __FUNCT__ "TSStep"
2829 /*@
2830    TSStep - Steps one time step
2831 
2832    Collective on TS
2833 
2834    Input Parameter:
2835 .  ts - the TS context obtained from TSCreate()
2836 
2837    Level: intermediate
2838 
2839    Notes:
2840    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
2841    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
2842 
2843    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
2844    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
2845 
2846 .keywords: TS, timestep, solve
2847 
2848 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
2849 @*/
2850 PetscErrorCode  TSStep(TS ts)
2851 {
2852   DM               dm;
2853   PetscErrorCode   ierr;
2854   static PetscBool cite = PETSC_FALSE;
2855 
2856   PetscFunctionBegin;
2857   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2858   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
2859                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
2860                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
2861                                 "  type        = {Preprint},\n"
2862                                 "  number      = {ANL/MCS-P5061-0114},\n"
2863                                 "  institution = {Argonne National Laboratory},\n"
2864                                 "  year        = {2014}\n}\n",&cite);
2865 
2866   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
2867   ierr = TSSetUp(ts);CHKERRQ(ierr);
2868 
2869   ts->reason = TS_CONVERGED_ITERATING;
2870   ts->ptime_prev = ts->ptime;
2871   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
2872   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
2873 
2874   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2875   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2876   if(ts->reverse_mode) {
2877     if(!ts->ops->stepadj) {
2878       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);
2879     }else {
2880       ierr = (*ts->ops->stepadj)(ts);CHKERRQ(ierr);
2881     }
2882   }else {
2883     ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
2884   }
2885   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2886 
2887   ts->time_step_prev = ts->ptime - ts->ptime_prev;
2888   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
2889 
2890   if (ts->reason < 0) {
2891     if (ts->errorifstepfailed) {
2892       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
2893         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]);
2894       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
2895         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]);
2896       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
2897     }
2898   } else if (!ts->reason) {
2899     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2900     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2901   }
2902   PetscFunctionReturn(0);
2903 }
2904 
2905 #undef __FUNCT__
2906 #define __FUNCT__ "TSEvaluateStep"
2907 /*@
2908    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
2909 
2910    Collective on TS
2911 
2912    Input Arguments:
2913 +  ts - time stepping context
2914 .  order - desired order of accuracy
2915 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
2916 
2917    Output Arguments:
2918 .  U - state at the end of the current step
2919 
2920    Level: advanced
2921 
2922    Notes:
2923    This function cannot be called until all stages have been evaluated.
2924    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.
2925 
2926 .seealso: TSStep(), TSAdapt
2927 @*/
2928 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
2929 {
2930   PetscErrorCode ierr;
2931 
2932   PetscFunctionBegin;
2933   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2934   PetscValidType(ts,1);
2935   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2936   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2937   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
2938   PetscFunctionReturn(0);
2939 }
2940 
2941 #undef __FUNCT__
2942 #define __FUNCT__ "TSSolve"
2943 /*@
2944    TSSolve - Steps the requested number of timesteps.
2945 
2946    Collective on TS
2947 
2948    Input Parameter:
2949 +  ts - the TS context obtained from TSCreate()
2950 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
2951 
2952    Level: beginner
2953 
2954    Notes:
2955    The final time returned by this function may be different from the time of the internally
2956    held state accessible by TSGetSolution() and TSGetTime() because the method may have
2957    stepped over the final time.
2958 
2959 .keywords: TS, timestep, solve
2960 
2961 .seealso: TSCreate(), TSSetSolution(), TSStep()
2962 @*/
2963 PetscErrorCode TSSolve(TS ts,Vec u)
2964 {
2965   Vec               solution;
2966   PetscErrorCode    ierr;
2967 
2968   PetscFunctionBegin;
2969   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2970   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2971   if (!ts->reverse_mode && 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 */
2972     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2973     if (!ts->vec_sol || u == ts->vec_sol) {
2974       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
2975       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
2976       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
2977     }
2978     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
2979   } else if (u) {
2980     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
2981   }
2982   ierr = TSSetUp(ts);CHKERRQ(ierr); /*compute adj coefficients if the reverse mode is on*/
2983   /* reset time step and iteration counters */
2984   ts->steps             = 0;
2985   ts->ksp_its           = 0;
2986   ts->snes_its          = 0;
2987   ts->num_snes_failures = 0;
2988   ts->reject            = 0;
2989   ts->reason            = TS_CONVERGED_ITERATING;
2990 
2991   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
2992 
2993   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
2994     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
2995     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
2996     ts->solvetime = ts->ptime;
2997   } else {
2998     /* steps the requested number of timesteps. */
2999     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3000     else if (!ts->reverse_mode && ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3001     while (!ts->reason) {
3002       if(!ts->reverse_mode) {
3003         ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3004       }else {
3005         ierr = TSMonitor(ts,ts->max_steps-ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3006       }
3007       ierr = TSStep(ts);CHKERRQ(ierr);
3008       if (ts->event) {
3009 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3010 	if (ts->event->status != TSEVENT_PROCESSING) {
3011 	  ierr = TSPostStep(ts);CHKERRQ(ierr);
3012 	}
3013       } else {
3014 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3015       }
3016     }
3017     if (!ts->reverse_mode && ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3018       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3019       ts->solvetime = ts->max_time;
3020       solution = u;
3021     } else {
3022       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3023       ts->solvetime = ts->ptime;
3024       solution = ts->vec_sol;
3025     }
3026     if(!ts->reverse_mode) {
3027       ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3028     }
3029     ierr = VecViewFromOptions(u, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3030   }
3031 
3032   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3033   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3034   PetscFunctionReturn(0);
3035 }
3036 
3037 #undef __FUNCT__
3038 #define __FUNCT__ "TSMonitor"
3039 /*@
3040    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3041 
3042    Collective on TS
3043 
3044    Input Parameters:
3045 +  ts - time stepping context obtained from TSCreate()
3046 .  step - step number that has just completed
3047 .  ptime - model time of the state
3048 -  u - state at the current model time
3049 
3050    Notes:
3051    TSMonitor() is typically used within the time stepping implementations.
3052    Users might call this function when using the TSStep() interface instead of TSSolve().
3053 
3054    Level: advanced
3055 
3056 .keywords: TS, timestep
3057 @*/
3058 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3059 {
3060   PetscErrorCode ierr;
3061   PetscInt       i,n = ts->numbermonitors;
3062 
3063   PetscFunctionBegin;
3064   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3065   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3066   ierr = VecLockPush(u);CHKERRQ(ierr);
3067   for (i=0; i<n; i++) {
3068     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3069   }
3070   ierr = VecLockPop(u);CHKERRQ(ierr);
3071   PetscFunctionReturn(0);
3072 }
3073 
3074 /* ------------------------------------------------------------------------*/
3075 #undef __FUNCT__
3076 #define __FUNCT__ "TSMonitorLGCtxCreate"
3077 /*@C
3078    TSMonitorLGCtxCreate - Creates a line graph context for use with
3079    TS to monitor the solution process graphically in various ways
3080 
3081    Collective on TS
3082 
3083    Input Parameters:
3084 +  host - the X display to open, or null for the local machine
3085 .  label - the title to put in the title bar
3086 .  x, y - the screen coordinates of the upper left coordinate of the window
3087 .  m, n - the screen width and height in pixels
3088 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3089 
3090    Output Parameter:
3091 .  ctx - the context
3092 
3093    Options Database Key:
3094 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3095 .  -ts_monitor_lg_solution -
3096 .  -ts_monitor_lg_error -
3097 .  -ts_monitor_lg_ksp_iterations -
3098 .  -ts_monitor_lg_snes_iterations -
3099 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
3100 
3101    Notes:
3102    Use TSMonitorLGCtxDestroy() to destroy.
3103 
3104    Level: intermediate
3105 
3106 .keywords: TS, monitor, line graph, residual, seealso
3107 
3108 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3109 
3110 @*/
3111 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3112 {
3113   PetscDraw      win;
3114   PetscErrorCode ierr;
3115 
3116   PetscFunctionBegin;
3117   ierr = PetscNew(ctx);CHKERRQ(ierr);
3118   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3119   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3120   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3121   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3122   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3123   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3124   (*ctx)->howoften = howoften;
3125   PetscFunctionReturn(0);
3126 }
3127 
3128 #undef __FUNCT__
3129 #define __FUNCT__ "TSMonitorLGTimeStep"
3130 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3131 {
3132   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3133   PetscReal      x   = ptime,y;
3134   PetscErrorCode ierr;
3135 
3136   PetscFunctionBegin;
3137   if (!step) {
3138     PetscDrawAxis axis;
3139     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3140     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3141     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3142     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
3143   }
3144   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3145   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3146   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3147     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3148   }
3149   PetscFunctionReturn(0);
3150 }
3151 
3152 #undef __FUNCT__
3153 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3154 /*@C
3155    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3156    with TSMonitorLGCtxCreate().
3157 
3158    Collective on TSMonitorLGCtx
3159 
3160    Input Parameter:
3161 .  ctx - the monitor context
3162 
3163    Level: intermediate
3164 
3165 .keywords: TS, monitor, line graph, destroy
3166 
3167 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3168 @*/
3169 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3170 {
3171   PetscDraw      draw;
3172   PetscErrorCode ierr;
3173 
3174   PetscFunctionBegin;
3175   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3176   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3177   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3178   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3179   PetscFunctionReturn(0);
3180 }
3181 
3182 #undef __FUNCT__
3183 #define __FUNCT__ "TSGetTime"
3184 /*@
3185    TSGetTime - Gets the time of the most recently completed step.
3186 
3187    Not Collective
3188 
3189    Input Parameter:
3190 .  ts - the TS context obtained from TSCreate()
3191 
3192    Output Parameter:
3193 .  t  - the current time
3194 
3195    Level: beginner
3196 
3197    Note:
3198    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3199    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3200 
3201 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3202 
3203 .keywords: TS, get, time
3204 @*/
3205 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3206 {
3207   PetscFunctionBegin;
3208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3209   PetscValidRealPointer(t,2);
3210   *t = ts->ptime;
3211   PetscFunctionReturn(0);
3212 }
3213 
3214 #undef __FUNCT__
3215 #define __FUNCT__ "TSGetPrevTime"
3216 /*@
3217    TSGetPrevTime - Gets the starting time of the previously completed step.
3218 
3219    Not Collective
3220 
3221    Input Parameter:
3222 .  ts - the TS context obtained from TSCreate()
3223 
3224    Output Parameter:
3225 .  t  - the previous time
3226 
3227    Level: beginner
3228 
3229 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3230 
3231 .keywords: TS, get, time
3232 @*/
3233 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3234 {
3235   PetscFunctionBegin;
3236   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3237   PetscValidRealPointer(t,2);
3238   *t = ts->ptime_prev;
3239   PetscFunctionReturn(0);
3240 }
3241 
3242 #undef __FUNCT__
3243 #define __FUNCT__ "TSSetTime"
3244 /*@
3245    TSSetTime - Allows one to reset the time.
3246 
3247    Logically Collective on TS
3248 
3249    Input Parameters:
3250 +  ts - the TS context obtained from TSCreate()
3251 -  time - the time
3252 
3253    Level: intermediate
3254 
3255 .seealso: TSGetTime(), TSSetDuration()
3256 
3257 .keywords: TS, set, time
3258 @*/
3259 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3260 {
3261   PetscFunctionBegin;
3262   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3263   PetscValidLogicalCollectiveReal(ts,t,2);
3264   ts->ptime = t;
3265   PetscFunctionReturn(0);
3266 }
3267 
3268 #undef __FUNCT__
3269 #define __FUNCT__ "TSSetOptionsPrefix"
3270 /*@C
3271    TSSetOptionsPrefix - Sets the prefix used for searching for all
3272    TS options in the database.
3273 
3274    Logically Collective on TS
3275 
3276    Input Parameter:
3277 +  ts     - The TS context
3278 -  prefix - The prefix to prepend to all option names
3279 
3280    Notes:
3281    A hyphen (-) must NOT be given at the beginning of the prefix name.
3282    The first character of all runtime options is AUTOMATICALLY the
3283    hyphen.
3284 
3285    Level: advanced
3286 
3287 .keywords: TS, set, options, prefix, database
3288 
3289 .seealso: TSSetFromOptions()
3290 
3291 @*/
3292 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3293 {
3294   PetscErrorCode ierr;
3295   SNES           snes;
3296 
3297   PetscFunctionBegin;
3298   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3299   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3300   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3301   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3302   PetscFunctionReturn(0);
3303 }
3304 
3305 
3306 #undef __FUNCT__
3307 #define __FUNCT__ "TSAppendOptionsPrefix"
3308 /*@C
3309    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3310    TS options in the database.
3311 
3312    Logically Collective on TS
3313 
3314    Input Parameter:
3315 +  ts     - The TS context
3316 -  prefix - The prefix to prepend to all option names
3317 
3318    Notes:
3319    A hyphen (-) must NOT be given at the beginning of the prefix name.
3320    The first character of all runtime options is AUTOMATICALLY the
3321    hyphen.
3322 
3323    Level: advanced
3324 
3325 .keywords: TS, append, options, prefix, database
3326 
3327 .seealso: TSGetOptionsPrefix()
3328 
3329 @*/
3330 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3331 {
3332   PetscErrorCode ierr;
3333   SNES           snes;
3334 
3335   PetscFunctionBegin;
3336   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3337   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3338   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3339   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3340   PetscFunctionReturn(0);
3341 }
3342 
3343 #undef __FUNCT__
3344 #define __FUNCT__ "TSGetOptionsPrefix"
3345 /*@C
3346    TSGetOptionsPrefix - Sets the prefix used for searching for all
3347    TS options in the database.
3348 
3349    Not Collective
3350 
3351    Input Parameter:
3352 .  ts - The TS context
3353 
3354    Output Parameter:
3355 .  prefix - A pointer to the prefix string used
3356 
3357    Notes: On the fortran side, the user should pass in a string 'prifix' of
3358    sufficient length to hold the prefix.
3359 
3360    Level: intermediate
3361 
3362 .keywords: TS, get, options, prefix, database
3363 
3364 .seealso: TSAppendOptionsPrefix()
3365 @*/
3366 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3367 {
3368   PetscErrorCode ierr;
3369 
3370   PetscFunctionBegin;
3371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3372   PetscValidPointer(prefix,2);
3373   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3374   PetscFunctionReturn(0);
3375 }
3376 
3377 #undef __FUNCT__
3378 #define __FUNCT__ "TSGetRHSJacobian"
3379 /*@C
3380    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3381 
3382    Not Collective, but parallel objects are returned if TS is parallel
3383 
3384    Input Parameter:
3385 .  ts  - The TS context obtained from TSCreate()
3386 
3387    Output Parameters:
3388 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3389 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3390 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3391 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3392 
3393    Notes: You can pass in NULL for any return argument you do not need.
3394 
3395    Level: intermediate
3396 
3397 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3398 
3399 .keywords: TS, timestep, get, matrix, Jacobian
3400 @*/
3401 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3402 {
3403   PetscErrorCode ierr;
3404   SNES           snes;
3405   DM             dm;
3406 
3407   PetscFunctionBegin;
3408   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3409   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3410   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3411   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3412   PetscFunctionReturn(0);
3413 }
3414 
3415 #undef __FUNCT__
3416 #define __FUNCT__ "TSGetIJacobian"
3417 /*@C
3418    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3419 
3420    Not Collective, but parallel objects are returned if TS is parallel
3421 
3422    Input Parameter:
3423 .  ts  - The TS context obtained from TSCreate()
3424 
3425    Output Parameters:
3426 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3427 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3428 .  f   - The function to compute the matrices
3429 - ctx - User-defined context for Jacobian evaluation routine
3430 
3431    Notes: You can pass in NULL for any return argument you do not need.
3432 
3433    Level: advanced
3434 
3435 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3436 
3437 .keywords: TS, timestep, get, matrix, Jacobian
3438 @*/
3439 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3440 {
3441   PetscErrorCode ierr;
3442   SNES           snes;
3443   DM             dm;
3444 
3445   PetscFunctionBegin;
3446   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3447   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3448   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3449   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3450   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3451   PetscFunctionReturn(0);
3452 }
3453 
3454 
3455 #undef __FUNCT__
3456 #define __FUNCT__ "TSMonitorDrawSolution"
3457 /*@C
3458    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3459    VecView() for the solution at each timestep
3460 
3461    Collective on TS
3462 
3463    Input Parameters:
3464 +  ts - the TS context
3465 .  step - current time-step
3466 .  ptime - current time
3467 -  dummy - either a viewer or NULL
3468 
3469    Options Database:
3470 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3471 
3472    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3473        will look bad
3474 
3475    Level: intermediate
3476 
3477 .keywords: TS,  vector, monitor, view
3478 
3479 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3480 @*/
3481 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3482 {
3483   PetscErrorCode   ierr;
3484   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3485   PetscDraw        draw;
3486 
3487   PetscFunctionBegin;
3488   if (!step && ictx->showinitial) {
3489     if (!ictx->initialsolution) {
3490       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3491     }
3492     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3493   }
3494   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3495 
3496   if (ictx->showinitial) {
3497     PetscReal pause;
3498     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3499     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3500     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3501     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3502     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3503   }
3504   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3505   if (ictx->showtimestepandtime) {
3506     PetscReal xl,yl,xr,yr,tw,w,h;
3507     char      time[32];
3508     size_t    len;
3509 
3510     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3511     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3512     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3513     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3514     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3515     w    = xl + .5*(xr - xl) - .5*len*tw;
3516     h    = yl + .95*(yr - yl);
3517     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3518     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3519   }
3520 
3521   if (ictx->showinitial) {
3522     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3523   }
3524   PetscFunctionReturn(0);
3525 }
3526 
3527 #undef __FUNCT__
3528 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3529 /*@C
3530    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3531 
3532    Collective on TS
3533 
3534    Input Parameters:
3535 +  ts - the TS context
3536 .  step - current time-step
3537 .  ptime - current time
3538 -  dummy - either a viewer or NULL
3539 
3540    Level: intermediate
3541 
3542 .keywords: TS,  vector, monitor, view
3543 
3544 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3545 @*/
3546 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3547 {
3548   PetscErrorCode    ierr;
3549   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3550   PetscDraw         draw;
3551   MPI_Comm          comm;
3552   PetscInt          n;
3553   PetscMPIInt       size;
3554   PetscReal         xl,yl,xr,yr,tw,w,h;
3555   char              time[32];
3556   size_t            len;
3557   const PetscScalar *U;
3558 
3559   PetscFunctionBegin;
3560   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3561   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3562   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3563   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3564   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3565 
3566   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3567 
3568   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3569   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3570   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3571       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3572       PetscFunctionReturn(0);
3573   }
3574   if (!step) ictx->color++;
3575   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3576   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3577 
3578   if (ictx->showtimestepandtime) {
3579     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3580     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3581     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3582     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3583     w    = xl + .5*(xr - xl) - .5*len*tw;
3584     h    = yl + .95*(yr - yl);
3585     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3586   }
3587   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3588   PetscFunctionReturn(0);
3589 }
3590 
3591 
3592 #undef __FUNCT__
3593 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3594 /*@C
3595    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3596 
3597    Collective on TS
3598 
3599    Input Parameters:
3600 .    ctx - the monitor context
3601 
3602    Level: intermediate
3603 
3604 .keywords: TS,  vector, monitor, view
3605 
3606 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3607 @*/
3608 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3609 {
3610   PetscErrorCode ierr;
3611 
3612   PetscFunctionBegin;
3613   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3614   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3615   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3616   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3617   PetscFunctionReturn(0);
3618 }
3619 
3620 #undef __FUNCT__
3621 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3622 /*@C
3623    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3624 
3625    Collective on TS
3626 
3627    Input Parameter:
3628 .    ts - time-step context
3629 
3630    Output Patameter:
3631 .    ctx - the monitor context
3632 
3633    Options Database:
3634 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3635 
3636    Level: intermediate
3637 
3638 .keywords: TS,  vector, monitor, view
3639 
3640 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3641 @*/
3642 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3643 {
3644   PetscErrorCode   ierr;
3645 
3646   PetscFunctionBegin;
3647   ierr = PetscNew(ctx);CHKERRQ(ierr);
3648   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3649   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3650 
3651   (*ctx)->howoften    = howoften;
3652   (*ctx)->showinitial = PETSC_FALSE;
3653   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3654 
3655   (*ctx)->showtimestepandtime = PETSC_FALSE;
3656   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3657   (*ctx)->color = PETSC_DRAW_WHITE;
3658   PetscFunctionReturn(0);
3659 }
3660 
3661 #undef __FUNCT__
3662 #define __FUNCT__ "TSMonitorDrawError"
3663 /*@C
3664    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3665    VecView() for the error at each timestep
3666 
3667    Collective on TS
3668 
3669    Input Parameters:
3670 +  ts - the TS context
3671 .  step - current time-step
3672 .  ptime - current time
3673 -  dummy - either a viewer or NULL
3674 
3675    Level: intermediate
3676 
3677 .keywords: TS,  vector, monitor, view
3678 
3679 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3680 @*/
3681 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3682 {
3683   PetscErrorCode   ierr;
3684   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3685   PetscViewer      viewer = ctx->viewer;
3686   Vec              work;
3687 
3688   PetscFunctionBegin;
3689   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3690   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3691   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3692   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3693   ierr = VecView(work,viewer);CHKERRQ(ierr);
3694   ierr = VecDestroy(&work);CHKERRQ(ierr);
3695   PetscFunctionReturn(0);
3696 }
3697 
3698 #include <petsc-private/dmimpl.h>
3699 #undef __FUNCT__
3700 #define __FUNCT__ "TSSetDM"
3701 /*@
3702    TSSetDM - Sets the DM that may be used by some preconditioners
3703 
3704    Logically Collective on TS and DM
3705 
3706    Input Parameters:
3707 +  ts - the preconditioner context
3708 -  dm - the dm
3709 
3710    Level: intermediate
3711 
3712 
3713 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3714 @*/
3715 PetscErrorCode  TSSetDM(TS ts,DM dm)
3716 {
3717   PetscErrorCode ierr;
3718   SNES           snes;
3719   DMTS           tsdm;
3720 
3721   PetscFunctionBegin;
3722   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3723   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3724   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3725     if (ts->dm->dmts && !dm->dmts) {
3726       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
3727       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
3728       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
3729         tsdm->originaldm = dm;
3730       }
3731     }
3732     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
3733   }
3734   ts->dm = dm;
3735 
3736   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3737   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
3738   PetscFunctionReturn(0);
3739 }
3740 
3741 #undef __FUNCT__
3742 #define __FUNCT__ "TSGetDM"
3743 /*@
3744    TSGetDM - Gets the DM that may be used by some preconditioners
3745 
3746    Not Collective
3747 
3748    Input Parameter:
3749 . ts - the preconditioner context
3750 
3751    Output Parameter:
3752 .  dm - the dm
3753 
3754    Level: intermediate
3755 
3756 
3757 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
3758 @*/
3759 PetscErrorCode  TSGetDM(TS ts,DM *dm)
3760 {
3761   PetscErrorCode ierr;
3762 
3763   PetscFunctionBegin;
3764   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3765   if (!ts->dm) {
3766     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
3767     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
3768   }
3769   *dm = ts->dm;
3770   PetscFunctionReturn(0);
3771 }
3772 
3773 #undef __FUNCT__
3774 #define __FUNCT__ "SNESTSFormFunction"
3775 /*@
3776    SNESTSFormFunction - Function to evaluate nonlinear residual
3777 
3778    Logically Collective on SNES
3779 
3780    Input Parameter:
3781 + snes - nonlinear solver
3782 . U - the current state at which to evaluate the residual
3783 - ctx - user context, must be a TS
3784 
3785    Output Parameter:
3786 . F - the nonlinear residual
3787 
3788    Notes:
3789    This function is not normally called by users and is automatically registered with the SNES used by TS.
3790    It is most frequently passed to MatFDColoringSetFunction().
3791 
3792    Level: advanced
3793 
3794 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
3795 @*/
3796 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
3797 {
3798   TS             ts = (TS)ctx;
3799   PetscErrorCode ierr;
3800 
3801   PetscFunctionBegin;
3802   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3803   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3804   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
3805   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
3806   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
3807   PetscFunctionReturn(0);
3808 }
3809 
3810 #undef __FUNCT__
3811 #define __FUNCT__ "SNESTSFormJacobian"
3812 /*@
3813    SNESTSFormJacobian - Function to evaluate the Jacobian
3814 
3815    Collective on SNES
3816 
3817    Input Parameter:
3818 + snes - nonlinear solver
3819 . U - the current state at which to evaluate the residual
3820 - ctx - user context, must be a TS
3821 
3822    Output Parameter:
3823 + A - the Jacobian
3824 . B - the preconditioning matrix (may be the same as A)
3825 - flag - indicates any structure change in the matrix
3826 
3827    Notes:
3828    This function is not normally called by users and is automatically registered with the SNES used by TS.
3829 
3830    Level: developer
3831 
3832 .seealso: SNESSetJacobian()
3833 @*/
3834 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
3835 {
3836   TS             ts = (TS)ctx;
3837   PetscErrorCode ierr;
3838 
3839   PetscFunctionBegin;
3840   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3841   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3842   PetscValidPointer(A,3);
3843   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
3844   PetscValidPointer(B,4);
3845   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
3846   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
3847   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
3848   PetscFunctionReturn(0);
3849 }
3850 
3851 #undef __FUNCT__
3852 #define __FUNCT__ "TSComputeRHSFunctionLinear"
3853 /*@C
3854    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
3855 
3856    Collective on TS
3857 
3858    Input Arguments:
3859 +  ts - time stepping context
3860 .  t - time at which to evaluate
3861 .  U - state at which to evaluate
3862 -  ctx - context
3863 
3864    Output Arguments:
3865 .  F - right hand side
3866 
3867    Level: intermediate
3868 
3869    Notes:
3870    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
3871    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
3872 
3873 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
3874 @*/
3875 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
3876 {
3877   PetscErrorCode ierr;
3878   Mat            Arhs,Brhs;
3879 
3880   PetscFunctionBegin;
3881   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
3882   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
3883   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
3884   PetscFunctionReturn(0);
3885 }
3886 
3887 #undef __FUNCT__
3888 #define __FUNCT__ "TSComputeRHSJacobianConstant"
3889 /*@C
3890    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
3891 
3892    Collective on TS
3893 
3894    Input Arguments:
3895 +  ts - time stepping context
3896 .  t - time at which to evaluate
3897 .  U - state at which to evaluate
3898 -  ctx - context
3899 
3900    Output Arguments:
3901 +  A - pointer to operator
3902 .  B - pointer to preconditioning matrix
3903 -  flg - matrix structure flag
3904 
3905    Level: intermediate
3906 
3907    Notes:
3908    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
3909 
3910 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
3911 @*/
3912 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
3913 {
3914   PetscFunctionBegin;
3915   PetscFunctionReturn(0);
3916 }
3917 
3918 #undef __FUNCT__
3919 #define __FUNCT__ "TSComputeIFunctionLinear"
3920 /*@C
3921    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
3922 
3923    Collective on TS
3924 
3925    Input Arguments:
3926 +  ts - time stepping context
3927 .  t - time at which to evaluate
3928 .  U - state at which to evaluate
3929 .  Udot - time derivative of state vector
3930 -  ctx - context
3931 
3932    Output Arguments:
3933 .  F - left hand side
3934 
3935    Level: intermediate
3936 
3937    Notes:
3938    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
3939    user is required to write their own TSComputeIFunction.
3940    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
3941    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
3942 
3943 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
3944 @*/
3945 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
3946 {
3947   PetscErrorCode ierr;
3948   Mat            A,B;
3949 
3950   PetscFunctionBegin;
3951   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
3952   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
3953   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
3954   PetscFunctionReturn(0);
3955 }
3956 
3957 #undef __FUNCT__
3958 #define __FUNCT__ "TSComputeIJacobianConstant"
3959 /*@C
3960    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
3961 
3962    Collective on TS
3963 
3964    Input Arguments:
3965 +  ts - time stepping context
3966 .  t - time at which to evaluate
3967 .  U - state at which to evaluate
3968 .  Udot - time derivative of state vector
3969 .  shift - shift to apply
3970 -  ctx - context
3971 
3972    Output Arguments:
3973 +  A - pointer to operator
3974 .  B - pointer to preconditioning matrix
3975 -  flg - matrix structure flag
3976 
3977    Level: advanced
3978 
3979    Notes:
3980    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
3981 
3982    It is only appropriate for problems of the form
3983 
3984 $     M Udot = F(U,t)
3985 
3986   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
3987   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
3988   an implicit operator of the form
3989 
3990 $    shift*M + J
3991 
3992   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
3993   a copy of M or reassemble it when requested.
3994 
3995 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
3996 @*/
3997 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
3998 {
3999   PetscErrorCode ierr;
4000 
4001   PetscFunctionBegin;
4002   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4003   ts->ijacobian.shift = shift;
4004   PetscFunctionReturn(0);
4005 }
4006 
4007 #undef __FUNCT__
4008 #define __FUNCT__ "TSGetEquationType"
4009 /*@
4010    TSGetEquationType - Gets the type of the equation that TS is solving.
4011 
4012    Not Collective
4013 
4014    Input Parameter:
4015 .  ts - the TS context
4016 
4017    Output Parameter:
4018 .  equation_type - see TSEquationType
4019 
4020    Level: beginner
4021 
4022 .keywords: TS, equation type
4023 
4024 .seealso: TSSetEquationType(), TSEquationType
4025 @*/
4026 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4027 {
4028   PetscFunctionBegin;
4029   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4030   PetscValidPointer(equation_type,2);
4031   *equation_type = ts->equation_type;
4032   PetscFunctionReturn(0);
4033 }
4034 
4035 #undef __FUNCT__
4036 #define __FUNCT__ "TSSetEquationType"
4037 /*@
4038    TSSetEquationType - Sets the type of the equation that TS is solving.
4039 
4040    Not Collective
4041 
4042    Input Parameter:
4043 +  ts - the TS context
4044 .  equation_type - see TSEquationType
4045 
4046    Level: advanced
4047 
4048 .keywords: TS, equation type
4049 
4050 .seealso: TSGetEquationType(), TSEquationType
4051 @*/
4052 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4053 {
4054   PetscFunctionBegin;
4055   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4056   ts->equation_type = equation_type;
4057   PetscFunctionReturn(0);
4058 }
4059 
4060 #undef __FUNCT__
4061 #define __FUNCT__ "TSGetConvergedReason"
4062 /*@
4063    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4064 
4065    Not Collective
4066 
4067    Input Parameter:
4068 .  ts - the TS context
4069 
4070    Output Parameter:
4071 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4072             manual pages for the individual convergence tests for complete lists
4073 
4074    Level: beginner
4075 
4076    Notes:
4077    Can only be called after the call to TSSolve() is complete.
4078 
4079 .keywords: TS, nonlinear, set, convergence, test
4080 
4081 .seealso: TSSetConvergenceTest(), TSConvergedReason
4082 @*/
4083 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4084 {
4085   PetscFunctionBegin;
4086   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4087   PetscValidPointer(reason,2);
4088   *reason = ts->reason;
4089   PetscFunctionReturn(0);
4090 }
4091 
4092 #undef __FUNCT__
4093 #define __FUNCT__ "TSSetConvergedReason"
4094 /*@
4095    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4096 
4097    Not Collective
4098 
4099    Input Parameter:
4100 +  ts - the TS context
4101 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4102             manual pages for the individual convergence tests for complete lists
4103 
4104    Level: advanced
4105 
4106    Notes:
4107    Can only be called during TSSolve() is active.
4108 
4109 .keywords: TS, nonlinear, set, convergence, test
4110 
4111 .seealso: TSConvergedReason
4112 @*/
4113 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4114 {
4115   PetscFunctionBegin;
4116   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4117   ts->reason = reason;
4118   PetscFunctionReturn(0);
4119 }
4120 
4121 #undef __FUNCT__
4122 #define __FUNCT__ "TSGetSolveTime"
4123 /*@
4124    TSGetSolveTime - Gets the time after a call to TSSolve()
4125 
4126    Not Collective
4127 
4128    Input Parameter:
4129 .  ts - the TS context
4130 
4131    Output Parameter:
4132 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4133 
4134    Level: beginner
4135 
4136    Notes:
4137    Can only be called after the call to TSSolve() is complete.
4138 
4139 .keywords: TS, nonlinear, set, convergence, test
4140 
4141 .seealso: TSSetConvergenceTest(), TSConvergedReason
4142 @*/
4143 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4144 {
4145   PetscFunctionBegin;
4146   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4147   PetscValidPointer(ftime,2);
4148   *ftime = ts->solvetime;
4149   PetscFunctionReturn(0);
4150 }
4151 
4152 #undef __FUNCT__
4153 #define __FUNCT__ "TSGetSNESIterations"
4154 /*@
4155    TSGetSNESIterations - Gets the total number of nonlinear iterations
4156    used by the time integrator.
4157 
4158    Not Collective
4159 
4160    Input Parameter:
4161 .  ts - TS context
4162 
4163    Output Parameter:
4164 .  nits - number of nonlinear iterations
4165 
4166    Notes:
4167    This counter is reset to zero for each successive call to TSSolve().
4168 
4169    Level: intermediate
4170 
4171 .keywords: TS, get, number, nonlinear, iterations
4172 
4173 .seealso:  TSGetKSPIterations()
4174 @*/
4175 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4176 {
4177   PetscFunctionBegin;
4178   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4179   PetscValidIntPointer(nits,2);
4180   *nits = ts->snes_its;
4181   PetscFunctionReturn(0);
4182 }
4183 
4184 #undef __FUNCT__
4185 #define __FUNCT__ "TSGetKSPIterations"
4186 /*@
4187    TSGetKSPIterations - Gets the total number of linear iterations
4188    used by the time integrator.
4189 
4190    Not Collective
4191 
4192    Input Parameter:
4193 .  ts - TS context
4194 
4195    Output Parameter:
4196 .  lits - number of linear iterations
4197 
4198    Notes:
4199    This counter is reset to zero for each successive call to TSSolve().
4200 
4201    Level: intermediate
4202 
4203 .keywords: TS, get, number, linear, iterations
4204 
4205 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4206 @*/
4207 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4208 {
4209   PetscFunctionBegin;
4210   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4211   PetscValidIntPointer(lits,2);
4212   *lits = ts->ksp_its;
4213   PetscFunctionReturn(0);
4214 }
4215 
4216 #undef __FUNCT__
4217 #define __FUNCT__ "TSGetStepRejections"
4218 /*@
4219    TSGetStepRejections - Gets the total number of rejected steps.
4220 
4221    Not Collective
4222 
4223    Input Parameter:
4224 .  ts - TS context
4225 
4226    Output Parameter:
4227 .  rejects - number of steps rejected
4228 
4229    Notes:
4230    This counter is reset to zero for each successive call to TSSolve().
4231 
4232    Level: intermediate
4233 
4234 .keywords: TS, get, number
4235 
4236 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4237 @*/
4238 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4239 {
4240   PetscFunctionBegin;
4241   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4242   PetscValidIntPointer(rejects,2);
4243   *rejects = ts->reject;
4244   PetscFunctionReturn(0);
4245 }
4246 
4247 #undef __FUNCT__
4248 #define __FUNCT__ "TSGetSNESFailures"
4249 /*@
4250    TSGetSNESFailures - Gets the total number of failed SNES solves
4251 
4252    Not Collective
4253 
4254    Input Parameter:
4255 .  ts - TS context
4256 
4257    Output Parameter:
4258 .  fails - number of failed nonlinear solves
4259 
4260    Notes:
4261    This counter is reset to zero for each successive call to TSSolve().
4262 
4263    Level: intermediate
4264 
4265 .keywords: TS, get, number
4266 
4267 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4268 @*/
4269 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4270 {
4271   PetscFunctionBegin;
4272   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4273   PetscValidIntPointer(fails,2);
4274   *fails = ts->num_snes_failures;
4275   PetscFunctionReturn(0);
4276 }
4277 
4278 #undef __FUNCT__
4279 #define __FUNCT__ "TSSetMaxStepRejections"
4280 /*@
4281    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4282 
4283    Not Collective
4284 
4285    Input Parameter:
4286 +  ts - TS context
4287 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4288 
4289    Notes:
4290    The counter is reset to zero for each step
4291 
4292    Options Database Key:
4293  .  -ts_max_reject - Maximum number of step rejections before a step fails
4294 
4295    Level: intermediate
4296 
4297 .keywords: TS, set, maximum, number
4298 
4299 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4300 @*/
4301 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4302 {
4303   PetscFunctionBegin;
4304   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4305   ts->max_reject = rejects;
4306   PetscFunctionReturn(0);
4307 }
4308 
4309 #undef __FUNCT__
4310 #define __FUNCT__ "TSSetMaxSNESFailures"
4311 /*@
4312    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4313 
4314    Not Collective
4315 
4316    Input Parameter:
4317 +  ts - TS context
4318 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4319 
4320    Notes:
4321    The counter is reset to zero for each successive call to TSSolve().
4322 
4323    Options Database Key:
4324  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4325 
4326    Level: intermediate
4327 
4328 .keywords: TS, set, maximum, number
4329 
4330 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4331 @*/
4332 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4333 {
4334   PetscFunctionBegin;
4335   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4336   ts->max_snes_failures = fails;
4337   PetscFunctionReturn(0);
4338 }
4339 
4340 #undef __FUNCT__
4341 #define __FUNCT__ "TSSetErrorIfStepFails"
4342 /*@
4343    TSSetErrorIfStepFails - Error if no step succeeds
4344 
4345    Not Collective
4346 
4347    Input Parameter:
4348 +  ts - TS context
4349 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4350 
4351    Options Database Key:
4352  .  -ts_error_if_step_fails - Error if no step succeeds
4353 
4354    Level: intermediate
4355 
4356 .keywords: TS, set, error
4357 
4358 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4359 @*/
4360 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4361 {
4362   PetscFunctionBegin;
4363   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4364   ts->errorifstepfailed = err;
4365   PetscFunctionReturn(0);
4366 }
4367 
4368 #undef __FUNCT__
4369 #define __FUNCT__ "TSMonitorSolutionBinary"
4370 /*@C
4371    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4372 
4373    Collective on TS
4374 
4375    Input Parameters:
4376 +  ts - the TS context
4377 .  step - current time-step
4378 .  ptime - current time
4379 .  u - current state
4380 -  viewer - binary viewer
4381 
4382    Level: intermediate
4383 
4384 .keywords: TS,  vector, monitor, view
4385 
4386 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4387 @*/
4388 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4389 {
4390   PetscErrorCode ierr;
4391   PetscViewer    v = (PetscViewer)viewer;
4392 
4393   PetscFunctionBegin;
4394   ierr = VecView(u,v);CHKERRQ(ierr);
4395   PetscFunctionReturn(0);
4396 }
4397 
4398 #undef __FUNCT__
4399 #define __FUNCT__ "TSMonitorSolutionVTK"
4400 /*@C
4401    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4402 
4403    Collective on TS
4404 
4405    Input Parameters:
4406 +  ts - the TS context
4407 .  step - current time-step
4408 .  ptime - current time
4409 .  u - current state
4410 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4411 
4412    Level: intermediate
4413 
4414    Notes:
4415    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.
4416    These are named according to the file name template.
4417 
4418    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4419 
4420 .keywords: TS,  vector, monitor, view
4421 
4422 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4423 @*/
4424 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4425 {
4426   PetscErrorCode ierr;
4427   char           filename[PETSC_MAX_PATH_LEN];
4428   PetscViewer    viewer;
4429 
4430   PetscFunctionBegin;
4431   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4432   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4433   ierr = VecView(u,viewer);CHKERRQ(ierr);
4434   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4435   PetscFunctionReturn(0);
4436 }
4437 
4438 #undef __FUNCT__
4439 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4440 /*@C
4441    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4442 
4443    Collective on TS
4444 
4445    Input Parameters:
4446 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4447 
4448    Level: intermediate
4449 
4450    Note:
4451    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4452 
4453 .keywords: TS,  vector, monitor, view
4454 
4455 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4456 @*/
4457 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4458 {
4459   PetscErrorCode ierr;
4460 
4461   PetscFunctionBegin;
4462   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4463   PetscFunctionReturn(0);
4464 }
4465 
4466 #undef __FUNCT__
4467 #define __FUNCT__ "TSGetAdapt"
4468 /*@
4469    TSGetAdapt - Get the adaptive controller context for the current method
4470 
4471    Collective on TS if controller has not been created yet
4472 
4473    Input Arguments:
4474 .  ts - time stepping context
4475 
4476    Output Arguments:
4477 .  adapt - adaptive controller
4478 
4479    Level: intermediate
4480 
4481 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4482 @*/
4483 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4484 {
4485   PetscErrorCode ierr;
4486 
4487   PetscFunctionBegin;
4488   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4489   PetscValidPointer(adapt,2);
4490   if (!ts->adapt) {
4491     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4492     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4493     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4494   }
4495   *adapt = ts->adapt;
4496   PetscFunctionReturn(0);
4497 }
4498 
4499 #undef __FUNCT__
4500 #define __FUNCT__ "TSSetTolerances"
4501 /*@
4502    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4503 
4504    Logically Collective
4505 
4506    Input Arguments:
4507 +  ts - time integration context
4508 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4509 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4510 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4511 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4512 
4513    Options Database keys:
4514 +  -ts_rtol <rtol> - relative tolerance for local truncation error
4515 -  -ts_atol <atol> Absolute tolerance for local truncation error
4516 
4517    Level: beginner
4518 
4519 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4520 @*/
4521 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4522 {
4523   PetscErrorCode ierr;
4524 
4525   PetscFunctionBegin;
4526   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4527   if (vatol) {
4528     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4529     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4530 
4531     ts->vatol = vatol;
4532   }
4533   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4534   if (vrtol) {
4535     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4536     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4537 
4538     ts->vrtol = vrtol;
4539   }
4540   PetscFunctionReturn(0);
4541 }
4542 
4543 #undef __FUNCT__
4544 #define __FUNCT__ "TSGetTolerances"
4545 /*@
4546    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4547 
4548    Logically Collective
4549 
4550    Input Arguments:
4551 .  ts - time integration context
4552 
4553    Output Arguments:
4554 +  atol - scalar absolute tolerances, NULL to ignore
4555 .  vatol - vector of absolute tolerances, NULL to ignore
4556 .  rtol - scalar relative tolerances, NULL to ignore
4557 -  vrtol - vector of relative tolerances, NULL to ignore
4558 
4559    Level: beginner
4560 
4561 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4562 @*/
4563 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4564 {
4565   PetscFunctionBegin;
4566   if (atol)  *atol  = ts->atol;
4567   if (vatol) *vatol = ts->vatol;
4568   if (rtol)  *rtol  = ts->rtol;
4569   if (vrtol) *vrtol = ts->vrtol;
4570   PetscFunctionReturn(0);
4571 }
4572 
4573 #undef __FUNCT__
4574 #define __FUNCT__ "TSErrorNormWRMS"
4575 /*@
4576    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4577 
4578    Collective on TS
4579 
4580    Input Arguments:
4581 +  ts - time stepping context
4582 -  Y - state vector to be compared to ts->vec_sol
4583 
4584    Output Arguments:
4585 .  norm - weighted norm, a value of 1.0 is considered small
4586 
4587    Level: developer
4588 
4589 .seealso: TSSetTolerances()
4590 @*/
4591 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4592 {
4593   PetscErrorCode    ierr;
4594   PetscInt          i,n,N;
4595   const PetscScalar *u,*y;
4596   Vec               U;
4597   PetscReal         sum,gsum;
4598 
4599   PetscFunctionBegin;
4600   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4601   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4602   PetscValidPointer(norm,3);
4603   U = ts->vec_sol;
4604   PetscCheckSameTypeAndComm(U,1,Y,2);
4605   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4606 
4607   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4608   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4609   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4610   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4611   sum  = 0.;
4612   if (ts->vatol && ts->vrtol) {
4613     const PetscScalar *atol,*rtol;
4614     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4615     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4616     for (i=0; i<n; i++) {
4617       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4618       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4619     }
4620     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4621     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4622   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4623     const PetscScalar *atol;
4624     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4625     for (i=0; i<n; i++) {
4626       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4627       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4628     }
4629     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4630   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4631     const PetscScalar *rtol;
4632     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4633     for (i=0; i<n; i++) {
4634       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4635       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4636     }
4637     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4638   } else {                      /* scalar atol, scalar rtol */
4639     for (i=0; i<n; i++) {
4640       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4641       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4642     }
4643   }
4644   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4645   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4646 
4647   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4648   *norm = PetscSqrtReal(gsum / N);
4649   if (PetscIsInfOrNanReal(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4650   PetscFunctionReturn(0);
4651 }
4652 
4653 #undef __FUNCT__
4654 #define __FUNCT__ "TSSetCFLTimeLocal"
4655 /*@
4656    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4657 
4658    Logically Collective on TS
4659 
4660    Input Arguments:
4661 +  ts - time stepping context
4662 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4663 
4664    Note:
4665    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4666 
4667    Level: intermediate
4668 
4669 .seealso: TSGetCFLTime(), TSADAPTCFL
4670 @*/
4671 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4672 {
4673   PetscFunctionBegin;
4674   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4675   ts->cfltime_local = cfltime;
4676   ts->cfltime       = -1.;
4677   PetscFunctionReturn(0);
4678 }
4679 
4680 #undef __FUNCT__
4681 #define __FUNCT__ "TSGetCFLTime"
4682 /*@
4683    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4684 
4685    Collective on TS
4686 
4687    Input Arguments:
4688 .  ts - time stepping context
4689 
4690    Output Arguments:
4691 .  cfltime - maximum stable time step for forward Euler
4692 
4693    Level: advanced
4694 
4695 .seealso: TSSetCFLTimeLocal()
4696 @*/
4697 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4698 {
4699   PetscErrorCode ierr;
4700 
4701   PetscFunctionBegin;
4702   if (ts->cfltime < 0) {
4703     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4704   }
4705   *cfltime = ts->cfltime;
4706   PetscFunctionReturn(0);
4707 }
4708 
4709 #undef __FUNCT__
4710 #define __FUNCT__ "TSVISetVariableBounds"
4711 /*@
4712    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4713 
4714    Input Parameters:
4715 .  ts   - the TS context.
4716 .  xl   - lower bound.
4717 .  xu   - upper bound.
4718 
4719    Notes:
4720    If this routine is not called then the lower and upper bounds are set to
4721    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
4722 
4723    Level: advanced
4724 
4725 @*/
4726 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
4727 {
4728   PetscErrorCode ierr;
4729   SNES           snes;
4730 
4731   PetscFunctionBegin;
4732   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4733   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
4734   PetscFunctionReturn(0);
4735 }
4736 
4737 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4738 #include <mex.h>
4739 
4740 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
4741 
4742 #undef __FUNCT__
4743 #define __FUNCT__ "TSComputeFunction_Matlab"
4744 /*
4745    TSComputeFunction_Matlab - Calls the function that has been set with
4746                          TSSetFunctionMatlab().
4747 
4748    Collective on TS
4749 
4750    Input Parameters:
4751 +  snes - the TS context
4752 -  u - input vector
4753 
4754    Output Parameter:
4755 .  y - function vector, as set by TSSetFunction()
4756 
4757    Notes:
4758    TSComputeFunction() is typically used within nonlinear solvers
4759    implementations, so most users would not generally call this routine
4760    themselves.
4761 
4762    Level: developer
4763 
4764 .keywords: TS, nonlinear, compute, function
4765 
4766 .seealso: TSSetFunction(), TSGetFunction()
4767 */
4768 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
4769 {
4770   PetscErrorCode  ierr;
4771   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4772   int             nlhs  = 1,nrhs = 7;
4773   mxArray         *plhs[1],*prhs[7];
4774   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
4775 
4776   PetscFunctionBegin;
4777   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
4778   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4779   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
4780   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
4781   PetscCheckSameComm(snes,1,u,3);
4782   PetscCheckSameComm(snes,1,y,5);
4783 
4784   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4785   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4786   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
4787   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
4788 
4789   prhs[0] =  mxCreateDoubleScalar((double)ls);
4790   prhs[1] =  mxCreateDoubleScalar(time);
4791   prhs[2] =  mxCreateDoubleScalar((double)lx);
4792   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4793   prhs[4] =  mxCreateDoubleScalar((double)ly);
4794   prhs[5] =  mxCreateString(sctx->funcname);
4795   prhs[6] =  sctx->ctx;
4796   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
4797   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4798   mxDestroyArray(prhs[0]);
4799   mxDestroyArray(prhs[1]);
4800   mxDestroyArray(prhs[2]);
4801   mxDestroyArray(prhs[3]);
4802   mxDestroyArray(prhs[4]);
4803   mxDestroyArray(prhs[5]);
4804   mxDestroyArray(plhs[0]);
4805   PetscFunctionReturn(0);
4806 }
4807 
4808 
4809 #undef __FUNCT__
4810 #define __FUNCT__ "TSSetFunctionMatlab"
4811 /*
4812    TSSetFunctionMatlab - Sets the function evaluation routine and function
4813    vector for use by the TS routines in solving ODEs
4814    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4815 
4816    Logically Collective on TS
4817 
4818    Input Parameters:
4819 +  ts - the TS context
4820 -  func - function evaluation routine
4821 
4822    Calling sequence of func:
4823 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
4824 
4825    Level: beginner
4826 
4827 .keywords: TS, nonlinear, set, function
4828 
4829 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4830 */
4831 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
4832 {
4833   PetscErrorCode  ierr;
4834   TSMatlabContext *sctx;
4835 
4836   PetscFunctionBegin;
4837   /* currently sctx is memory bleed */
4838   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4839   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4840   /*
4841      This should work, but it doesn't
4842   sctx->ctx = ctx;
4843   mexMakeArrayPersistent(sctx->ctx);
4844   */
4845   sctx->ctx = mxDuplicateArray(ctx);
4846 
4847   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4848   PetscFunctionReturn(0);
4849 }
4850 
4851 #undef __FUNCT__
4852 #define __FUNCT__ "TSComputeJacobian_Matlab"
4853 /*
4854    TSComputeJacobian_Matlab - Calls the function that has been set with
4855                          TSSetJacobianMatlab().
4856 
4857    Collective on TS
4858 
4859    Input Parameters:
4860 +  ts - the TS context
4861 .  u - input vector
4862 .  A, B - the matrices
4863 -  ctx - user context
4864 
4865    Level: developer
4866 
4867 .keywords: TS, nonlinear, compute, function
4868 
4869 .seealso: TSSetFunction(), TSGetFunction()
4870 @*/
4871 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
4872 {
4873   PetscErrorCode  ierr;
4874   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4875   int             nlhs  = 2,nrhs = 9;
4876   mxArray         *plhs[2],*prhs[9];
4877   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
4878 
4879   PetscFunctionBegin;
4880   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4881   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4882 
4883   /* call Matlab function in ctx with arguments u and y */
4884 
4885   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4886   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4887   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
4888   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
4889   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
4890 
4891   prhs[0] =  mxCreateDoubleScalar((double)ls);
4892   prhs[1] =  mxCreateDoubleScalar((double)time);
4893   prhs[2] =  mxCreateDoubleScalar((double)lx);
4894   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4895   prhs[4] =  mxCreateDoubleScalar((double)shift);
4896   prhs[5] =  mxCreateDoubleScalar((double)lA);
4897   prhs[6] =  mxCreateDoubleScalar((double)lB);
4898   prhs[7] =  mxCreateString(sctx->funcname);
4899   prhs[8] =  sctx->ctx;
4900   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
4901   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4902   mxDestroyArray(prhs[0]);
4903   mxDestroyArray(prhs[1]);
4904   mxDestroyArray(prhs[2]);
4905   mxDestroyArray(prhs[3]);
4906   mxDestroyArray(prhs[4]);
4907   mxDestroyArray(prhs[5]);
4908   mxDestroyArray(prhs[6]);
4909   mxDestroyArray(prhs[7]);
4910   mxDestroyArray(plhs[0]);
4911   mxDestroyArray(plhs[1]);
4912   PetscFunctionReturn(0);
4913 }
4914 
4915 
4916 #undef __FUNCT__
4917 #define __FUNCT__ "TSSetJacobianMatlab"
4918 /*
4919    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4920    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
4921 
4922    Logically Collective on TS
4923 
4924    Input Parameters:
4925 +  ts - the TS context
4926 .  A,B - Jacobian matrices
4927 .  func - function evaluation routine
4928 -  ctx - user context
4929 
4930    Calling sequence of func:
4931 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
4932 
4933 
4934    Level: developer
4935 
4936 .keywords: TS, nonlinear, set, function
4937 
4938 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4939 */
4940 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
4941 {
4942   PetscErrorCode  ierr;
4943   TSMatlabContext *sctx;
4944 
4945   PetscFunctionBegin;
4946   /* currently sctx is memory bleed */
4947   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4948   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4949   /*
4950      This should work, but it doesn't
4951   sctx->ctx = ctx;
4952   mexMakeArrayPersistent(sctx->ctx);
4953   */
4954   sctx->ctx = mxDuplicateArray(ctx);
4955 
4956   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4957   PetscFunctionReturn(0);
4958 }
4959 
4960 #undef __FUNCT__
4961 #define __FUNCT__ "TSMonitor_Matlab"
4962 /*
4963    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
4964 
4965    Collective on TS
4966 
4967 .seealso: TSSetFunction(), TSGetFunction()
4968 @*/
4969 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
4970 {
4971   PetscErrorCode  ierr;
4972   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4973   int             nlhs  = 1,nrhs = 6;
4974   mxArray         *plhs[1],*prhs[6];
4975   long long int   lx = 0,ls = 0;
4976 
4977   PetscFunctionBegin;
4978   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4979   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4980 
4981   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4982   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4983 
4984   prhs[0] =  mxCreateDoubleScalar((double)ls);
4985   prhs[1] =  mxCreateDoubleScalar((double)it);
4986   prhs[2] =  mxCreateDoubleScalar((double)time);
4987   prhs[3] =  mxCreateDoubleScalar((double)lx);
4988   prhs[4] =  mxCreateString(sctx->funcname);
4989   prhs[5] =  sctx->ctx;
4990   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
4991   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4992   mxDestroyArray(prhs[0]);
4993   mxDestroyArray(prhs[1]);
4994   mxDestroyArray(prhs[2]);
4995   mxDestroyArray(prhs[3]);
4996   mxDestroyArray(prhs[4]);
4997   mxDestroyArray(plhs[0]);
4998   PetscFunctionReturn(0);
4999 }
5000 
5001 
5002 #undef __FUNCT__
5003 #define __FUNCT__ "TSMonitorSetMatlab"
5004 /*
5005    TSMonitorSetMatlab - Sets the monitor function from Matlab
5006 
5007    Level: developer
5008 
5009 .keywords: TS, nonlinear, set, function
5010 
5011 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5012 */
5013 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5014 {
5015   PetscErrorCode  ierr;
5016   TSMatlabContext *sctx;
5017 
5018   PetscFunctionBegin;
5019   /* currently sctx is memory bleed */
5020   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5021   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5022   /*
5023      This should work, but it doesn't
5024   sctx->ctx = ctx;
5025   mexMakeArrayPersistent(sctx->ctx);
5026   */
5027   sctx->ctx = mxDuplicateArray(ctx);
5028 
5029   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5030   PetscFunctionReturn(0);
5031 }
5032 #endif
5033 
5034 
5035 
5036 #undef __FUNCT__
5037 #define __FUNCT__ "TSMonitorLGSolution"
5038 /*@C
5039    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5040        in a time based line graph
5041 
5042    Collective on TS
5043 
5044    Input Parameters:
5045 +  ts - the TS context
5046 .  step - current time-step
5047 .  ptime - current time
5048 -  lg - a line graph object
5049 
5050    Level: intermediate
5051 
5052     Notes: each process in a parallel run displays its component solutions in a separate window
5053 
5054 .keywords: TS,  vector, monitor, view
5055 
5056 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5057 @*/
5058 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5059 {
5060   PetscErrorCode    ierr;
5061   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5062   const PetscScalar *yy;
5063   PetscInt          dim;
5064 
5065   PetscFunctionBegin;
5066   if (!step) {
5067     PetscDrawAxis axis;
5068     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5069     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5070     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5071     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5072     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5073   }
5074   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
5075 #if defined(PETSC_USE_COMPLEX)
5076   {
5077     PetscReal *yreal;
5078     PetscInt  i,n;
5079     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
5080     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5081     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5082     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5083     ierr = PetscFree(yreal);CHKERRQ(ierr);
5084   }
5085 #else
5086   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5087 #endif
5088   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
5089   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5090     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5091   }
5092   PetscFunctionReturn(0);
5093 }
5094 
5095 #undef __FUNCT__
5096 #define __FUNCT__ "TSMonitorLGError"
5097 /*@C
5098    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
5099        in a time based line graph
5100 
5101    Collective on TS
5102 
5103    Input Parameters:
5104 +  ts - the TS context
5105 .  step - current time-step
5106 .  ptime - current time
5107 -  lg - a line graph object
5108 
5109    Level: intermediate
5110 
5111    Notes:
5112    Only for sequential solves.
5113 
5114    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
5115 
5116    Options Database Keys:
5117 .  -ts_monitor_lg_error - create a graphical monitor of error history
5118 
5119 .keywords: TS,  vector, monitor, view
5120 
5121 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
5122 @*/
5123 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5124 {
5125   PetscErrorCode    ierr;
5126   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5127   const PetscScalar *yy;
5128   Vec               y;
5129   PetscInt          dim;
5130 
5131   PetscFunctionBegin;
5132   if (!step) {
5133     PetscDrawAxis axis;
5134     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5135     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
5136     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5137     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5138     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5139   }
5140   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
5141   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
5142   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
5143   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
5144 #if defined(PETSC_USE_COMPLEX)
5145   {
5146     PetscReal *yreal;
5147     PetscInt  i,n;
5148     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
5149     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5150     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5151     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5152     ierr = PetscFree(yreal);CHKERRQ(ierr);
5153   }
5154 #else
5155   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5156 #endif
5157   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
5158   ierr = VecDestroy(&y);CHKERRQ(ierr);
5159   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5160     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5161   }
5162   PetscFunctionReturn(0);
5163 }
5164 
5165 #undef __FUNCT__
5166 #define __FUNCT__ "TSMonitorLGSNESIterations"
5167 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5168 {
5169   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5170   PetscReal      x   = ptime,y;
5171   PetscErrorCode ierr;
5172   PetscInt       its;
5173 
5174   PetscFunctionBegin;
5175   if (!n) {
5176     PetscDrawAxis axis;
5177 
5178     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5179     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
5180     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5181 
5182     ctx->snes_its = 0;
5183   }
5184   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
5185   y    = its - ctx->snes_its;
5186   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5187   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5188     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5189   }
5190   ctx->snes_its = its;
5191   PetscFunctionReturn(0);
5192 }
5193 
5194 #undef __FUNCT__
5195 #define __FUNCT__ "TSMonitorLGKSPIterations"
5196 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5197 {
5198   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5199   PetscReal      x   = ptime,y;
5200   PetscErrorCode ierr;
5201   PetscInt       its;
5202 
5203   PetscFunctionBegin;
5204   if (!n) {
5205     PetscDrawAxis axis;
5206 
5207     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5208     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
5209     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5210 
5211     ctx->ksp_its = 0;
5212   }
5213   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
5214   y    = its - ctx->ksp_its;
5215   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5216   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5217     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5218   }
5219   ctx->ksp_its = its;
5220   PetscFunctionReturn(0);
5221 }
5222 
5223 #undef __FUNCT__
5224 #define __FUNCT__ "TSComputeLinearStability"
5225 /*@
5226    TSComputeLinearStability - computes the linear stability function at a point
5227 
5228    Collective on TS and Vec
5229 
5230    Input Parameters:
5231 +  ts - the TS context
5232 -  xr,xi - real and imaginary part of input arguments
5233 
5234    Output Parameters:
5235 .  yr,yi - real and imaginary part of function value
5236 
5237    Level: developer
5238 
5239 .keywords: TS, compute
5240 
5241 .seealso: TSSetRHSFunction(), TSComputeIFunction()
5242 @*/
5243 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
5244 {
5245   PetscErrorCode ierr;
5246 
5247   PetscFunctionBegin;
5248   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5249   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
5250   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
5251   PetscFunctionReturn(0);
5252 }
5253 
5254 #undef __FUNCT__
5255 #define __FUNCT__ "TSRollBack"
5256 /*@
5257    TSRollBack - Rolls back one time step
5258 
5259    Collective on TS
5260 
5261    Input Parameter:
5262 .  ts - the TS context obtained from TSCreate()
5263 
5264    Level: advanced
5265 
5266 .keywords: TS, timestep, rollback
5267 
5268 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
5269 @*/
5270 PetscErrorCode  TSRollBack(TS ts)
5271 {
5272   PetscErrorCode ierr;
5273 
5274   PetscFunctionBegin;
5275   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5276 
5277   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
5278   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
5279   ts->time_step = ts->ptime - ts->ptime_prev;
5280   ts->ptime = ts->ptime_prev;
5281   PetscFunctionReturn(0);
5282 }
5283 
5284 #undef __FUNCT__
5285 #define __FUNCT__ "TSGetStages"
5286 /*@
5287    TSGetStages - Get the number of stages and stage values
5288 
5289    Input Parameter:
5290 .  ts - the TS context obtained from TSCreate()
5291 
5292    Level: advanced
5293 
5294 .keywords: TS, getstages
5295 
5296 .seealso: TSCreate()
5297 @*/
5298 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
5299 {
5300   PetscErrorCode ierr;
5301 
5302   PetscFunctionBegin;
5303   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5304   PetscValidPointer(ns,2);
5305 
5306   if (!ts->ops->getstages) *ns=0;
5307   else {
5308     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
5309   }
5310   PetscFunctionReturn(0);
5311 }
5312 
5313 
5314 
5315