xref: /petsc/src/ts/interface/ts.c (revision b4dd3bf90a00423f9847735552a703ecd0e67342)
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    TSSetReverseMode - 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   PetscErrorCode ierr;
397   PetscFunctionBegin;
398   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
399   ts->reverse_mode = reverse_mode;
400   //ts->setupcalled  = PETSC_FALSE;
401   ierr = TSSetUp(ts);CHKERRQ(ierr);
402   PetscFunctionReturn(0);
403 }
404 
405 #undef __FUNCT__
406 #define __FUNCT__ "TSComputeRHSJacobian"
407 /*@
408    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
409       set with TSSetRHSJacobian().
410 
411    Collective on TS and Vec
412 
413    Input Parameters:
414 +  ts - the TS context
415 .  t - current timestep
416 -  U - input vector
417 
418    Output Parameters:
419 +  A - Jacobian matrix
420 .  B - optional preconditioning matrix
421 -  flag - flag indicating matrix structure
422 
423    Notes:
424    Most users should not need to explicitly call this routine, as it
425    is used internally within the nonlinear solvers.
426 
427    See KSPSetOperators() for important information about setting the
428    flag parameter.
429 
430    Level: developer
431 
432 .keywords: SNES, compute, Jacobian, matrix
433 
434 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
435 @*/
436 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
437 {
438   PetscErrorCode ierr;
439   PetscObjectState Ustate;
440   DM             dm;
441   DMTS           tsdm;
442   TSRHSJacobian  rhsjacobianfunc;
443   void           *ctx;
444   TSIJacobian    ijacobianfunc;
445 
446   PetscFunctionBegin;
447   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
448   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
449   PetscCheckSameComm(ts,1,U,3);
450   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
451   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
452   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
453   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
454   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
455   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
456     PetscFunctionReturn(0);
457   }
458 
459   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
460 
461   if (ts->rhsjacobian.reuse) {
462     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
463     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
464     if (A != B) {
465       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
466       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
467     }
468     ts->rhsjacobian.shift = 0;
469     ts->rhsjacobian.scale = 1.;
470   }
471 
472   if (rhsjacobianfunc) {
473     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
474     PetscStackPush("TS user Jacobian function");
475     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
476     PetscStackPop;
477     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
478     /* make sure user returned a correct Jacobian and preconditioner */
479     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
480     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
481   } else {
482     ierr = MatZeroEntries(A);CHKERRQ(ierr);
483     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
484   }
485   ts->rhsjacobian.time       = t;
486   ts->rhsjacobian.X          = U;
487   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
488   PetscFunctionReturn(0);
489 }
490 
491 #undef __FUNCT__
492 #define __FUNCT__ "TSComputeRHSFunction"
493 /*@
494    TSComputeRHSFunction - Evaluates the right-hand-side function.
495 
496    Collective on TS and Vec
497 
498    Input Parameters:
499 +  ts - the TS context
500 .  t - current time
501 -  U - state vector
502 
503    Output Parameter:
504 .  y - right hand side
505 
506    Note:
507    Most users should not need to explicitly call this routine, as it
508    is used internally within the nonlinear solvers.
509 
510    Level: developer
511 
512 .keywords: TS, compute
513 
514 .seealso: TSSetRHSFunction(), TSComputeIFunction()
515 @*/
516 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
517 {
518   PetscErrorCode ierr;
519   TSRHSFunction  rhsfunction;
520   TSIFunction    ifunction;
521   void           *ctx;
522   DM             dm;
523 
524   PetscFunctionBegin;
525   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
526   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
527   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
528   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
529   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
530   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
531 
532   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
533 
534   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
535   if (rhsfunction) {
536     PetscStackPush("TS user right-hand-side function");
537     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
538     PetscStackPop;
539   } else {
540     ierr = VecZeroEntries(y);CHKERRQ(ierr);
541   }
542 
543   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
544   PetscFunctionReturn(0);
545 }
546 
547 #undef __FUNCT__
548 #define __FUNCT__ "TSComputeSolutionFunction"
549 /*@
550    TSComputeSolutionFunction - Evaluates the solution function.
551 
552    Collective on TS and Vec
553 
554    Input Parameters:
555 +  ts - the TS context
556 -  t - current time
557 
558    Output Parameter:
559 .  U - the solution
560 
561    Note:
562    Most users should not need to explicitly call this routine, as it
563    is used internally within the nonlinear solvers.
564 
565    Level: developer
566 
567 .keywords: TS, compute
568 
569 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
570 @*/
571 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
572 {
573   PetscErrorCode     ierr;
574   TSSolutionFunction solutionfunction;
575   void               *ctx;
576   DM                 dm;
577 
578   PetscFunctionBegin;
579   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
580   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
581   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
582   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
583 
584   if (solutionfunction) {
585     PetscStackPush("TS user solution function");
586     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
587     PetscStackPop;
588   }
589   PetscFunctionReturn(0);
590 }
591 #undef __FUNCT__
592 #define __FUNCT__ "TSComputeForcingFunction"
593 /*@
594    TSComputeForcingFunction - Evaluates the forcing function.
595 
596    Collective on TS and Vec
597 
598    Input Parameters:
599 +  ts - the TS context
600 -  t - current time
601 
602    Output Parameter:
603 .  U - the function value
604 
605    Note:
606    Most users should not need to explicitly call this routine, as it
607    is used internally within the nonlinear solvers.
608 
609    Level: developer
610 
611 .keywords: TS, compute
612 
613 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
614 @*/
615 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
616 {
617   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
618   void               *ctx;
619   DM                 dm;
620 
621   PetscFunctionBegin;
622   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
623   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
624   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
625   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
626 
627   if (forcing) {
628     PetscStackPush("TS user forcing function");
629     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
630     PetscStackPop;
631   }
632   PetscFunctionReturn(0);
633 }
634 
635 #undef __FUNCT__
636 #define __FUNCT__ "TSGetRHSVec_Private"
637 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
638 {
639   Vec            F;
640   PetscErrorCode ierr;
641 
642   PetscFunctionBegin;
643   *Frhs = NULL;
644   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
645   if (!ts->Frhs) {
646     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
647   }
648   *Frhs = ts->Frhs;
649   PetscFunctionReturn(0);
650 }
651 
652 #undef __FUNCT__
653 #define __FUNCT__ "TSGetRHSMats_Private"
654 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
655 {
656   Mat            A,B;
657   PetscErrorCode ierr;
658 
659   PetscFunctionBegin;
660   if (Arhs) *Arhs = NULL;
661   if (Brhs) *Brhs = NULL;
662   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
663   if (Arhs) {
664     if (!ts->Arhs) {
665       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
666     }
667     *Arhs = ts->Arhs;
668   }
669   if (Brhs) {
670     if (!ts->Brhs) {
671       if (A != B) {
672         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
673       } else {
674         ts->Brhs = ts->Arhs;
675         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
676       }
677     }
678     *Brhs = ts->Brhs;
679   }
680   PetscFunctionReturn(0);
681 }
682 
683 #undef __FUNCT__
684 #define __FUNCT__ "TSComputeIFunction"
685 /*@
686    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
687 
688    Collective on TS and Vec
689 
690    Input Parameters:
691 +  ts - the TS context
692 .  t - current time
693 .  U - state vector
694 .  Udot - time derivative of state vector
695 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
696 
697    Output Parameter:
698 .  Y - right hand side
699 
700    Note:
701    Most users should not need to explicitly call this routine, as it
702    is used internally within the nonlinear solvers.
703 
704    If the user did did not write their equations in implicit form, this
705    function recasts them in implicit form.
706 
707    Level: developer
708 
709 .keywords: TS, compute
710 
711 .seealso: TSSetIFunction(), TSComputeRHSFunction()
712 @*/
713 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
714 {
715   PetscErrorCode ierr;
716   TSIFunction    ifunction;
717   TSRHSFunction  rhsfunction;
718   void           *ctx;
719   DM             dm;
720 
721   PetscFunctionBegin;
722   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
723   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
724   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
725   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
726 
727   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
728   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
729   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
730 
731   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
732 
733   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
734   if (ifunction) {
735     PetscStackPush("TS user implicit function");
736     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
737     PetscStackPop;
738   }
739   if (imex) {
740     if (!ifunction) {
741       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
742     }
743   } else if (rhsfunction) {
744     if (ifunction) {
745       Vec Frhs;
746       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
747       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
748       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
749     } else {
750       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
751       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
752     }
753   }
754   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
755   PetscFunctionReturn(0);
756 }
757 
758 #undef __FUNCT__
759 #define __FUNCT__ "TSComputeIJacobian"
760 /*@
761    TSComputeIJacobian - Evaluates the Jacobian of the DAE
762 
763    Collective on TS and Vec
764 
765    Input
766       Input Parameters:
767 +  ts - the TS context
768 .  t - current timestep
769 .  U - state vector
770 .  Udot - time derivative of state vector
771 .  shift - shift to apply, see note below
772 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
773 
774    Output Parameters:
775 +  A - Jacobian matrix
776 .  B - optional preconditioning matrix
777 -  flag - flag indicating matrix structure
778 
779    Notes:
780    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
781 
782    dF/dU + shift*dF/dUdot
783 
784    Most users should not need to explicitly call this routine, as it
785    is used internally within the nonlinear solvers.
786 
787    Level: developer
788 
789 .keywords: TS, compute, Jacobian, matrix
790 
791 .seealso:  TSSetIJacobian()
792 @*/
793 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
794 {
795   PetscErrorCode ierr;
796   TSIJacobian    ijacobian;
797   TSRHSJacobian  rhsjacobian;
798   DM             dm;
799   void           *ctx;
800 
801   PetscFunctionBegin;
802   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
803   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
804   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
805   PetscValidPointer(A,6);
806   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
807   PetscValidPointer(B,7);
808   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
809 
810   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
811   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
812   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
813 
814   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
815 
816   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
817   if (ijacobian) {
818     PetscStackPush("TS user implicit Jacobian");
819     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
820     PetscStackPop;
821     /* make sure user returned a correct Jacobian and preconditioner */
822     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
823     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
824   }
825   if (imex) {
826     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
827       ierr = MatZeroEntries(A);CHKERRQ(ierr);
828       ierr = MatShift(A,shift);CHKERRQ(ierr);
829       if (A != B) {
830         ierr = MatZeroEntries(B);CHKERRQ(ierr);
831         ierr = MatShift(B,shift);CHKERRQ(ierr);
832       }
833     }
834   } else {
835     Mat Arhs = NULL,Brhs = NULL;
836     if (rhsjacobian) {
837       if (ijacobian) {
838         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
839       } else {
840         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
841       }
842       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
843     }
844     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
845       ts->rhsjacobian.scale = -1;
846       ts->rhsjacobian.shift = shift;
847       ierr = MatScale(A,-1);CHKERRQ(ierr);
848       ierr = MatShift(A,shift);CHKERRQ(ierr);
849       if (A != B) {
850         ierr = MatScale(B,-1);CHKERRQ(ierr);
851         ierr = MatShift(B,shift);CHKERRQ(ierr);
852       }
853     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
854       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
855       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
856         ierr = MatZeroEntries(A);CHKERRQ(ierr);
857         ierr = MatShift(A,shift);CHKERRQ(ierr);
858         if (A != B) {
859           ierr = MatZeroEntries(B);CHKERRQ(ierr);
860           ierr = MatShift(B,shift);CHKERRQ(ierr);
861         }
862       }
863       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
864       if (A != B) {
865         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
866       }
867     }
868   }
869   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
870   PetscFunctionReturn(0);
871 }
872 
873 #undef __FUNCT__
874 #define __FUNCT__ "TSSetRHSFunction"
875 /*@C
876     TSSetRHSFunction - Sets the routine for evaluating the function,
877     where U_t = G(t,u).
878 
879     Logically Collective on TS
880 
881     Input Parameters:
882 +   ts - the TS context obtained from TSCreate()
883 .   r - vector to put the computed right hand side (or NULL to have it created)
884 .   f - routine for evaluating the right-hand-side function
885 -   ctx - [optional] user-defined context for private data for the
886           function evaluation routine (may be NULL)
887 
888     Calling sequence of func:
889 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
890 
891 +   t - current timestep
892 .   u - input vector
893 .   F - function vector
894 -   ctx - [optional] user-defined function context
895 
896     Level: beginner
897 
898 .keywords: TS, timestep, set, right-hand-side, function
899 
900 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
901 @*/
902 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
903 {
904   PetscErrorCode ierr;
905   SNES           snes;
906   Vec            ralloc = NULL;
907   DM             dm;
908 
909   PetscFunctionBegin;
910   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
911   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
912 
913   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
914   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
915   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
916   if (!r && !ts->dm && ts->vec_sol) {
917     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
918     r    = ralloc;
919   }
920   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
921   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
922   PetscFunctionReturn(0);
923 }
924 
925 #undef __FUNCT__
926 #define __FUNCT__ "TSSetSolutionFunction"
927 /*@C
928     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
929 
930     Logically Collective on TS
931 
932     Input Parameters:
933 +   ts - the TS context obtained from TSCreate()
934 .   f - routine for evaluating the solution
935 -   ctx - [optional] user-defined context for private data for the
936           function evaluation routine (may be NULL)
937 
938     Calling sequence of func:
939 $     func (TS ts,PetscReal t,Vec u,void *ctx);
940 
941 +   t - current timestep
942 .   u - output vector
943 -   ctx - [optional] user-defined function context
944 
945     Notes:
946     This routine is used for testing accuracy of time integration schemes when you already know the solution.
947     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
948     create closed-form solutions with non-physical forcing terms.
949 
950     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
951 
952     Level: beginner
953 
954 .keywords: TS, timestep, set, right-hand-side, function
955 
956 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
957 @*/
958 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
959 {
960   PetscErrorCode ierr;
961   DM             dm;
962 
963   PetscFunctionBegin;
964   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
965   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
966   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
967   PetscFunctionReturn(0);
968 }
969 
970 #undef __FUNCT__
971 #define __FUNCT__ "TSSetForcingFunction"
972 /*@C
973     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
974 
975     Logically Collective on TS
976 
977     Input Parameters:
978 +   ts - the TS context obtained from TSCreate()
979 .   f - routine for evaluating the forcing function
980 -   ctx - [optional] user-defined context for private data for the
981           function evaluation routine (may be NULL)
982 
983     Calling sequence of func:
984 $     func (TS ts,PetscReal t,Vec u,void *ctx);
985 
986 +   t - current timestep
987 .   u - output vector
988 -   ctx - [optional] user-defined function context
989 
990     Notes:
991     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
992     create closed-form solutions with a non-physical forcing term.
993 
994     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
995 
996     Level: beginner
997 
998 .keywords: TS, timestep, set, right-hand-side, function
999 
1000 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1001 @*/
1002 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1003 {
1004   PetscErrorCode ierr;
1005   DM             dm;
1006 
1007   PetscFunctionBegin;
1008   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1009   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1010   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1011   PetscFunctionReturn(0);
1012 }
1013 
1014 #undef __FUNCT__
1015 #define __FUNCT__ "TSSetRHSJacobian"
1016 /*@C
1017    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
1018    where U_t = G(U,t), as well as the location to store the matrix.
1019 
1020    Logically Collective on TS
1021 
1022    Input Parameters:
1023 +  ts  - the TS context obtained from TSCreate()
1024 .  Amat - (approximate) Jacobian matrix
1025 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1026 .  f   - the Jacobian evaluation routine
1027 -  ctx - [optional] user-defined context for private data for the
1028          Jacobian evaluation routine (may be NULL)
1029 
1030    Calling sequence of func:
1031 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1032 
1033 +  t - current timestep
1034 .  u - input vector
1035 .  Amat - (approximate) Jacobian matrix
1036 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1037 -  ctx - [optional] user-defined context for matrix evaluation routine
1038 
1039 
1040    Level: beginner
1041 
1042 .keywords: TS, timestep, set, right-hand-side, Jacobian
1043 
1044 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1045 
1046 @*/
1047 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1048 {
1049   PetscErrorCode ierr;
1050   SNES           snes;
1051   DM             dm;
1052   TSIJacobian    ijacobian;
1053 
1054   PetscFunctionBegin;
1055   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1056   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1057   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1058   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1059   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1060 
1061   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1062   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1063   if (f == TSComputeRHSJacobianConstant) {
1064     /* Handle this case automatically for the user; otherwise user should call themselves. */
1065     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1066   }
1067   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1068   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1069   if (!ijacobian) {
1070     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1071   }
1072   if (Amat) {
1073     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1074     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1075 
1076     ts->Arhs = Amat;
1077   }
1078   if (Pmat) {
1079     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1080     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1081 
1082     ts->Brhs = Pmat;
1083   }
1084   PetscFunctionReturn(0);
1085 }
1086 
1087 
1088 #undef __FUNCT__
1089 #define __FUNCT__ "TSSetIFunction"
1090 /*@C
1091    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1092 
1093    Logically Collective on TS
1094 
1095    Input Parameters:
1096 +  ts  - the TS context obtained from TSCreate()
1097 .  r   - vector to hold the residual (or NULL to have it created internally)
1098 .  f   - the function evaluation routine
1099 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1100 
1101    Calling sequence of f:
1102 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1103 
1104 +  t   - time at step/stage being solved
1105 .  u   - state vector
1106 .  u_t - time derivative of state vector
1107 .  F   - function vector
1108 -  ctx - [optional] user-defined context for matrix evaluation routine
1109 
1110    Important:
1111    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1112 
1113    Level: beginner
1114 
1115 .keywords: TS, timestep, set, DAE, Jacobian
1116 
1117 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1118 @*/
1119 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1120 {
1121   PetscErrorCode ierr;
1122   SNES           snes;
1123   Vec            resalloc = NULL;
1124   DM             dm;
1125 
1126   PetscFunctionBegin;
1127   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1128   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1129 
1130   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1131   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1132 
1133   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1134   if (!res && !ts->dm && ts->vec_sol) {
1135     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1136     res  = resalloc;
1137   }
1138   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1139   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1140   PetscFunctionReturn(0);
1141 }
1142 
1143 #undef __FUNCT__
1144 #define __FUNCT__ "TSGetIFunction"
1145 /*@C
1146    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1147 
1148    Not Collective
1149 
1150    Input Parameter:
1151 .  ts - the TS context
1152 
1153    Output Parameter:
1154 +  r - vector to hold residual (or NULL)
1155 .  func - the function to compute residual (or NULL)
1156 -  ctx - the function context (or NULL)
1157 
1158    Level: advanced
1159 
1160 .keywords: TS, nonlinear, get, function
1161 
1162 .seealso: TSSetIFunction(), SNESGetFunction()
1163 @*/
1164 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1165 {
1166   PetscErrorCode ierr;
1167   SNES           snes;
1168   DM             dm;
1169 
1170   PetscFunctionBegin;
1171   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1172   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1173   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1174   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1175   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1176   PetscFunctionReturn(0);
1177 }
1178 
1179 #undef __FUNCT__
1180 #define __FUNCT__ "TSGetRHSFunction"
1181 /*@C
1182    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1183 
1184    Not Collective
1185 
1186    Input Parameter:
1187 .  ts - the TS context
1188 
1189    Output Parameter:
1190 +  r - vector to hold computed right hand side (or NULL)
1191 .  func - the function to compute right hand side (or NULL)
1192 -  ctx - the function context (or NULL)
1193 
1194    Level: advanced
1195 
1196 .keywords: TS, nonlinear, get, function
1197 
1198 .seealso: TSSetRhsfunction(), SNESGetFunction()
1199 @*/
1200 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1201 {
1202   PetscErrorCode ierr;
1203   SNES           snes;
1204   DM             dm;
1205 
1206   PetscFunctionBegin;
1207   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1208   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1209   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1210   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1211   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1212   PetscFunctionReturn(0);
1213 }
1214 
1215 #undef __FUNCT__
1216 #define __FUNCT__ "TSSetIJacobian"
1217 /*@C
1218    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1219         provided with TSSetIFunction().
1220 
1221    Logically Collective on TS
1222 
1223    Input Parameters:
1224 +  ts  - the TS context obtained from TSCreate()
1225 .  Amat - (approximate) Jacobian matrix
1226 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1227 .  f   - the Jacobian evaluation routine
1228 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1229 
1230    Calling sequence of f:
1231 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1232 
1233 +  t    - time at step/stage being solved
1234 .  U    - state vector
1235 .  U_t  - time derivative of state vector
1236 .  a    - shift
1237 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1238 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1239 -  ctx  - [optional] user-defined context for matrix evaluation routine
1240 
1241    Notes:
1242    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1243 
1244    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1245    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1246    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1247    a and vector W depend on the integration method, step size, and past states. For example with
1248    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1249    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1250 
1251    Level: beginner
1252 
1253 .keywords: TS, timestep, DAE, Jacobian
1254 
1255 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1256 
1257 @*/
1258 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1259 {
1260   PetscErrorCode ierr;
1261   SNES           snes;
1262   DM             dm;
1263 
1264   PetscFunctionBegin;
1265   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1266   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1267   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1268   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1269   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1270 
1271   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1272   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1273 
1274   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1275   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1276   PetscFunctionReturn(0);
1277 }
1278 
1279 #undef __FUNCT__
1280 #define __FUNCT__ "TSRHSJacobianSetReuse"
1281 /*@
1282    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1283    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1284    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1285    not been changed by the TS.
1286 
1287    Logically Collective
1288 
1289    Input Arguments:
1290 +  ts - TS context obtained from TSCreate()
1291 -  reuse - PETSC_TRUE if the RHS Jacobian
1292 
1293    Level: intermediate
1294 
1295 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1296 @*/
1297 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1298 {
1299   PetscFunctionBegin;
1300   ts->rhsjacobian.reuse = reuse;
1301   PetscFunctionReturn(0);
1302 }
1303 
1304 #undef __FUNCT__
1305 #define __FUNCT__ "TSLoad"
1306 /*@C
1307   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1308 
1309   Collective on PetscViewer
1310 
1311   Input Parameters:
1312 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1313            some related function before a call to TSLoad().
1314 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1315 
1316    Level: intermediate
1317 
1318   Notes:
1319    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1320 
1321   Notes for advanced users:
1322   Most users should not need to know the details of the binary storage
1323   format, since TSLoad() and TSView() completely hide these details.
1324   But for anyone who's interested, the standard binary matrix storage
1325   format is
1326 .vb
1327      has not yet been determined
1328 .ve
1329 
1330 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1331 @*/
1332 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1333 {
1334   PetscErrorCode ierr;
1335   PetscBool      isbinary;
1336   PetscInt       classid;
1337   char           type[256];
1338   DMTS           sdm;
1339   DM             dm;
1340 
1341   PetscFunctionBegin;
1342   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1343   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1344   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1345   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1346 
1347   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1348   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1349   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1350   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1351   if (ts->ops->load) {
1352     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1353   }
1354   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1355   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1356   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1357   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1358   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1359   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1360   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1361   PetscFunctionReturn(0);
1362 }
1363 
1364 #include <petscdraw.h>
1365 #if defined(PETSC_HAVE_SAWS)
1366 #include <petscviewersaws.h>
1367 #endif
1368 #undef __FUNCT__
1369 #define __FUNCT__ "TSView"
1370 /*@C
1371     TSView - Prints the TS data structure.
1372 
1373     Collective on TS
1374 
1375     Input Parameters:
1376 +   ts - the TS context obtained from TSCreate()
1377 -   viewer - visualization context
1378 
1379     Options Database Key:
1380 .   -ts_view - calls TSView() at end of TSStep()
1381 
1382     Notes:
1383     The available visualization contexts include
1384 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1385 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1386          output where only the first processor opens
1387          the file.  All other processors send their
1388          data to the first processor to print.
1389 
1390     The user can open an alternative visualization context with
1391     PetscViewerASCIIOpen() - output to a specified file.
1392 
1393     Level: beginner
1394 
1395 .keywords: TS, timestep, view
1396 
1397 .seealso: PetscViewerASCIIOpen()
1398 @*/
1399 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1400 {
1401   PetscErrorCode ierr;
1402   TSType         type;
1403   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1404   DMTS           sdm;
1405 #if defined(PETSC_HAVE_SAWS)
1406   PetscBool      isams;
1407 #endif
1408 
1409   PetscFunctionBegin;
1410   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1411   if (!viewer) {
1412     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1413   }
1414   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1415   PetscCheckSameComm(ts,1,viewer,2);
1416 
1417   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1418   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1419   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1420   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1421 #if defined(PETSC_HAVE_SAWS)
1422   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&isams);CHKERRQ(ierr);
1423 #endif
1424   if (iascii) {
1425     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1426     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1427     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1428     if (ts->problem_type == TS_NONLINEAR) {
1429       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1430       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1431     }
1432     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1433     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1434     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1435     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1436     if (ts->ops->view) {
1437       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1438       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1439       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1440     }
1441   } else if (isstring) {
1442     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1443     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1444   } else if (isbinary) {
1445     PetscInt    classid = TS_FILE_CLASSID;
1446     MPI_Comm    comm;
1447     PetscMPIInt rank;
1448     char        type[256];
1449 
1450     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1451     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1452     if (!rank) {
1453       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1454       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1455       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1456     }
1457     if (ts->ops->view) {
1458       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1459     }
1460     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1461     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1462     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1463     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1464   } else if (isdraw) {
1465     PetscDraw draw;
1466     char      str[36];
1467     PetscReal x,y,bottom,h;
1468 
1469     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1470     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1471     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1472     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1473     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1474     bottom = y - h;
1475     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1476     if (ts->ops->view) {
1477       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1478     }
1479     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1480 #if defined(PETSC_HAVE_SAWS)
1481   } else if (isams) {
1482     PetscMPIInt rank;
1483     const char  *name;
1484 
1485     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1486     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1487     if (!((PetscObject)ts)->amsmem && !rank) {
1488       char       dir[1024];
1489 
1490       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1491       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1492       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1493       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1494       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1495     }
1496     if (ts->ops->view) {
1497       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1498     }
1499 #endif
1500   }
1501 
1502   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1503   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1504   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1505   PetscFunctionReturn(0);
1506 }
1507 
1508 
1509 #undef __FUNCT__
1510 #define __FUNCT__ "TSSetApplicationContext"
1511 /*@
1512    TSSetApplicationContext - Sets an optional user-defined context for
1513    the timesteppers.
1514 
1515    Logically Collective on TS
1516 
1517    Input Parameters:
1518 +  ts - the TS context obtained from TSCreate()
1519 -  usrP - optional user context
1520 
1521    Level: intermediate
1522 
1523 .keywords: TS, timestep, set, application, context
1524 
1525 .seealso: TSGetApplicationContext()
1526 @*/
1527 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1528 {
1529   PetscFunctionBegin;
1530   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1531   ts->user = usrP;
1532   PetscFunctionReturn(0);
1533 }
1534 
1535 #undef __FUNCT__
1536 #define __FUNCT__ "TSGetApplicationContext"
1537 /*@
1538     TSGetApplicationContext - Gets the user-defined context for the
1539     timestepper.
1540 
1541     Not Collective
1542 
1543     Input Parameter:
1544 .   ts - the TS context obtained from TSCreate()
1545 
1546     Output Parameter:
1547 .   usrP - user context
1548 
1549     Level: intermediate
1550 
1551 .keywords: TS, timestep, get, application, context
1552 
1553 .seealso: TSSetApplicationContext()
1554 @*/
1555 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1556 {
1557   PetscFunctionBegin;
1558   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1559   *(void**)usrP = ts->user;
1560   PetscFunctionReturn(0);
1561 }
1562 
1563 #undef __FUNCT__
1564 #define __FUNCT__ "TSGetTimeStepNumber"
1565 /*@
1566    TSGetTimeStepNumber - Gets the number of time steps completed.
1567 
1568    Not Collective
1569 
1570    Input Parameter:
1571 .  ts - the TS context obtained from TSCreate()
1572 
1573    Output Parameter:
1574 .  iter - number of steps completed so far
1575 
1576    Level: intermediate
1577 
1578 .keywords: TS, timestep, get, iteration, number
1579 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1580 @*/
1581 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1582 {
1583   PetscFunctionBegin;
1584   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1585   PetscValidIntPointer(iter,2);
1586   *iter = ts->steps;
1587   PetscFunctionReturn(0);
1588 }
1589 
1590 #undef __FUNCT__
1591 #define __FUNCT__ "TSSetInitialTimeStep"
1592 /*@
1593    TSSetInitialTimeStep - Sets the initial timestep to be used,
1594    as well as the initial time.
1595 
1596    Logically Collective on TS
1597 
1598    Input Parameters:
1599 +  ts - the TS context obtained from TSCreate()
1600 .  initial_time - the initial time
1601 -  time_step - the size of the timestep
1602 
1603    Level: intermediate
1604 
1605 .seealso: TSSetTimeStep(), TSGetTimeStep()
1606 
1607 .keywords: TS, set, initial, timestep
1608 @*/
1609 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1610 {
1611   PetscErrorCode ierr;
1612 
1613   PetscFunctionBegin;
1614   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1615   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1616   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1617   PetscFunctionReturn(0);
1618 }
1619 
1620 #undef __FUNCT__
1621 #define __FUNCT__ "TSSetTimeStep"
1622 /*@
1623    TSSetTimeStep - Allows one to reset the timestep at any time,
1624    useful for simple pseudo-timestepping codes.
1625 
1626    Logically Collective on TS
1627 
1628    Input Parameters:
1629 +  ts - the TS context obtained from TSCreate()
1630 -  time_step - the size of the timestep
1631 
1632    Level: intermediate
1633 
1634 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1635 
1636 .keywords: TS, set, timestep
1637 @*/
1638 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1639 {
1640   PetscFunctionBegin;
1641   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1642   PetscValidLogicalCollectiveReal(ts,time_step,2);
1643   ts->time_step      = time_step;
1644   ts->time_step_orig = time_step;
1645   PetscFunctionReturn(0);
1646 }
1647 
1648 #undef __FUNCT__
1649 #define __FUNCT__ "TSSetExactFinalTime"
1650 /*@
1651    TSSetExactFinalTime - Determines whether to adapt the final time step to
1652      match the exact final time, interpolate solution to the exact final time,
1653      or just return at the final time TS computed.
1654 
1655   Logically Collective on TS
1656 
1657    Input Parameter:
1658 +   ts - the time-step context
1659 -   eftopt - exact final time option
1660 
1661    Level: beginner
1662 
1663 .seealso: TSExactFinalTimeOption
1664 @*/
1665 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1666 {
1667   PetscFunctionBegin;
1668   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1669   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1670   ts->exact_final_time = eftopt;
1671   PetscFunctionReturn(0);
1672 }
1673 
1674 #undef __FUNCT__
1675 #define __FUNCT__ "TSGetTimeStep"
1676 /*@
1677    TSGetTimeStep - Gets the current timestep size.
1678 
1679    Not Collective
1680 
1681    Input Parameter:
1682 .  ts - the TS context obtained from TSCreate()
1683 
1684    Output Parameter:
1685 .  dt - the current timestep size
1686 
1687    Level: intermediate
1688 
1689 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1690 
1691 .keywords: TS, get, timestep
1692 @*/
1693 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1694 {
1695   PetscFunctionBegin;
1696   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1697   PetscValidRealPointer(dt,2);
1698   *dt = ts->time_step;
1699   PetscFunctionReturn(0);
1700 }
1701 
1702 #undef __FUNCT__
1703 #define __FUNCT__ "TSGetSolution"
1704 /*@
1705    TSGetSolution - Returns the solution at the present timestep. It
1706    is valid to call this routine inside the function that you are evaluating
1707    in order to move to the new timestep. This vector not changed until
1708    the solution at the next timestep has been calculated.
1709 
1710    Not Collective, but Vec returned is parallel if TS is parallel
1711 
1712    Input Parameter:
1713 .  ts - the TS context obtained from TSCreate()
1714 
1715    Output Parameter:
1716 .  v - the vector containing the solution
1717 
1718    Level: intermediate
1719 
1720 .seealso: TSGetTimeStep()
1721 
1722 .keywords: TS, timestep, get, solution
1723 @*/
1724 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1725 {
1726   PetscFunctionBegin;
1727   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1728   PetscValidPointer(v,2);
1729   *v = ts->vec_sol;
1730   PetscFunctionReturn(0);
1731 }
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "TSAdjointGetSensitivity"
1735 /*@
1736    TSAdjointGetSensitivity - Returns the sensitivity in the reverse mode.
1737 
1738    Not Collective, but Vec returned is parallel if TS is parallel
1739 
1740    Input Parameter:
1741 .  ts - the TS context obtained from TSCreate()
1742 
1743    Output Parameter:
1744 .  v - the vector containing the solution
1745 
1746    Level: intermediate
1747 
1748 .seealso: TSGetTimeStep()
1749 
1750 .keywords: TS, timestep, get, sensitivity
1751 @*/
1752 PetscErrorCode  TSAdjointGetSensitivity(TS ts,Vec **v,PetscInt *numberadjs)
1753 {
1754   PetscFunctionBegin;
1755   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1756   PetscValidPointer(v,2);
1757   *v          = ts->vecs_sensi;
1758   if(numberadjs) *numberadjs = ts->numberadjs;
1759   PetscFunctionReturn(0);
1760 }
1761 
1762 /* ----- Routines to initialize and destroy a timestepper ---- */
1763 #undef __FUNCT__
1764 #define __FUNCT__ "TSSetProblemType"
1765 /*@
1766   TSSetProblemType - Sets the type of problem to be solved.
1767 
1768   Not collective
1769 
1770   Input Parameters:
1771 + ts   - The TS
1772 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1773 .vb
1774          U_t - A U = 0      (linear)
1775          U_t - A(t) U = 0   (linear)
1776          F(t,U,U_t) = 0     (nonlinear)
1777 .ve
1778 
1779    Level: beginner
1780 
1781 .keywords: TS, problem type
1782 .seealso: TSSetUp(), TSProblemType, TS
1783 @*/
1784 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1785 {
1786   PetscErrorCode ierr;
1787 
1788   PetscFunctionBegin;
1789   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1790   ts->problem_type = type;
1791   if (type == TS_LINEAR) {
1792     SNES snes;
1793     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1794     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1795   }
1796   PetscFunctionReturn(0);
1797 }
1798 
1799 #undef __FUNCT__
1800 #define __FUNCT__ "TSGetProblemType"
1801 /*@C
1802   TSGetProblemType - Gets the type of problem to be solved.
1803 
1804   Not collective
1805 
1806   Input Parameter:
1807 . ts   - The TS
1808 
1809   Output Parameter:
1810 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1811 .vb
1812          M U_t = A U
1813          M(t) U_t = A(t) U
1814          F(t,U,U_t)
1815 .ve
1816 
1817    Level: beginner
1818 
1819 .keywords: TS, problem type
1820 .seealso: TSSetUp(), TSProblemType, TS
1821 @*/
1822 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1823 {
1824   PetscFunctionBegin;
1825   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1826   PetscValidIntPointer(type,2);
1827   *type = ts->problem_type;
1828   PetscFunctionReturn(0);
1829 }
1830 
1831 #undef __FUNCT__
1832 #define __FUNCT__ "TSSetUp"
1833 /*@
1834    TSSetUp - Sets up the internal data structures for the later use
1835    of a timestepper.
1836 
1837    Collective on TS
1838 
1839    Input Parameter:
1840 .  ts - the TS context obtained from TSCreate()
1841 
1842    Notes:
1843    For basic use of the TS solvers the user need not explicitly call
1844    TSSetUp(), since these actions will automatically occur during
1845    the call to TSStep().  However, if one wishes to control this
1846    phase separately, TSSetUp() should be called after TSCreate()
1847    and optional routines of the form TSSetXXX(), but before TSStep().
1848 
1849    Level: advanced
1850 
1851 .keywords: TS, timestep, setup
1852 
1853 .seealso: TSCreate(), TSStep(), TSDestroy()
1854 @*/
1855 PetscErrorCode  TSSetUp(TS ts)
1856 {
1857   PetscErrorCode ierr;
1858   DM             dm;
1859   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1860   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1861   TSIJacobian    ijac;
1862   TSRHSJacobian  rhsjac;
1863 
1864   PetscFunctionBegin;
1865   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1866   if (ts->setupcalled) PetscFunctionReturn(0);
1867 
1868   if (!((PetscObject)ts)->type_name) {
1869     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1870   }
1871 
1872   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1873 
1874   if (ts->reverse_mode && !ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSAdjointSetSensitivity() first");
1875 
1876   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1877 
1878   if (ts->rhsjacobian.reuse) {
1879     Mat Amat,Pmat;
1880     SNES snes;
1881     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1882     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1883     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1884      * have displaced the RHS matrix */
1885     if (Amat == ts->Arhs) {
1886       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1887       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1888       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1889     }
1890     if (Pmat == ts->Brhs) {
1891       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1892       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1893       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1894     }
1895   }
1896   if (ts->ops->setup) {
1897     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1898   }
1899 
1900   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1901    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1902    */
1903   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1904   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1905   if (!func) {
1906     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1907   }
1908   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1909      Otherwise, the SNES will use coloring internally to form the Jacobian.
1910    */
1911   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1912   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1913   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1914   if (!jac && (ijac || rhsjac)) {
1915     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1916   }
1917   ts->setupcalled = PETSC_TRUE;
1918   PetscFunctionReturn(0);
1919 }
1920 
1921 #undef __FUNCT__
1922 #define __FUNCT__ "TSAdjointSetUp"
1923 /*@
1924    TSAdjointSetUp - Sets up the internal data structures for the later use
1925    of an adjoint solver
1926 
1927    Collective on TS
1928 
1929    Input Parameter:
1930 .  ts - the TS context obtained from TSCreate()
1931 
1932    Notes:
1933    For basic use of the TS solvers the user need not explicitly call
1934    TSSetUp(), since these actions will automatically occur during
1935    the call to TSStep().  However, if one wishes to control this
1936    phase separately, TSSetUp() should be called after TSCreate()
1937    and optional routines of the form TSSetXXX(), but before TSStep().
1938 
1939    Level: advanced
1940 
1941 .keywords: TS, timestep, setup
1942 
1943 .seealso: TSCreate(), TSStep(), TSDestroy()
1944 @*/
1945 PetscErrorCode  TSAdjointSetUp(TS ts)
1946 {
1947   PetscErrorCode ierr;
1948 
1949   PetscFunctionBegin;
1950   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1951   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
1952   if (ts->ops->setupadj) {
1953     ierr = (*ts->ops->setupadj)(ts);CHKERRQ(ierr);
1954   }
1955   ts->adjointsetupcalled = PETSC_TRUE;
1956   PetscFunctionReturn(0);
1957 }
1958 
1959 #undef __FUNCT__
1960 #define __FUNCT__ "TSReset"
1961 /*@
1962    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1963 
1964    Collective on TS
1965 
1966    Input Parameter:
1967 .  ts - the TS context obtained from TSCreate()
1968 
1969    Level: beginner
1970 
1971 .keywords: TS, timestep, reset
1972 
1973 .seealso: TSCreate(), TSSetup(), TSDestroy()
1974 @*/
1975 PetscErrorCode  TSReset(TS ts)
1976 {
1977   PetscErrorCode ierr;
1978 
1979   PetscFunctionBegin;
1980   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1981 
1982   if (ts->ops->reset) {
1983     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1984   }
1985   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1986 
1987   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1988   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1989   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1990   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1991   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1992   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1993   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1994   ts->vecs_sensi = 0;
1995   ts->vecs_sensip = 0;
1996   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
1997   ierr = VecDestroy(&ts->vec_costquad);CHKERRQ(ierr);
1998   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
1999   ts->setupcalled = PETSC_FALSE;
2000   PetscFunctionReturn(0);
2001 }
2002 
2003 #undef __FUNCT__
2004 #define __FUNCT__ "TSDestroy"
2005 /*@
2006    TSDestroy - Destroys the timestepper context that was created
2007    with TSCreate().
2008 
2009    Collective on TS
2010 
2011    Input Parameter:
2012 .  ts - the TS context obtained from TSCreate()
2013 
2014    Level: beginner
2015 
2016 .keywords: TS, timestepper, destroy
2017 
2018 .seealso: TSCreate(), TSSetUp(), TSSolve()
2019 @*/
2020 PetscErrorCode  TSDestroy(TS *ts)
2021 {
2022   PetscErrorCode ierr;
2023 
2024   PetscFunctionBegin;
2025   if (!*ts) PetscFunctionReturn(0);
2026   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2027   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2028 
2029   ierr = TSReset((*ts));CHKERRQ(ierr);
2030 
2031   /* if memory was published with SAWs then destroy it */
2032   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2033   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2034 
2035   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2036   if ((*ts)->event) {
2037     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
2038   }
2039   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2040   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2041   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2042 
2043   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2044   PetscFunctionReturn(0);
2045 }
2046 
2047 #undef __FUNCT__
2048 #define __FUNCT__ "TSGetSNES"
2049 /*@
2050    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2051    a TS (timestepper) context. Valid only for nonlinear problems.
2052 
2053    Not Collective, but SNES is parallel if TS is parallel
2054 
2055    Input Parameter:
2056 .  ts - the TS context obtained from TSCreate()
2057 
2058    Output Parameter:
2059 .  snes - the nonlinear solver context
2060 
2061    Notes:
2062    The user can then directly manipulate the SNES context to set various
2063    options, etc.  Likewise, the user can then extract and manipulate the
2064    KSP, KSP, and PC contexts as well.
2065 
2066    TSGetSNES() does not work for integrators that do not use SNES; in
2067    this case TSGetSNES() returns NULL in snes.
2068 
2069    Level: beginner
2070 
2071 .keywords: timestep, get, SNES
2072 @*/
2073 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2074 {
2075   PetscErrorCode ierr;
2076 
2077   PetscFunctionBegin;
2078   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2079   PetscValidPointer(snes,2);
2080   if (!ts->snes) {
2081     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2082     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2083     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2084     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2085     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2086     if (ts->problem_type == TS_LINEAR) {
2087       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2088     }
2089   }
2090   *snes = ts->snes;
2091   PetscFunctionReturn(0);
2092 }
2093 
2094 #undef __FUNCT__
2095 #define __FUNCT__ "TSSetSNES"
2096 /*@
2097    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2098 
2099    Collective
2100 
2101    Input Parameter:
2102 +  ts - the TS context obtained from TSCreate()
2103 -  snes - the nonlinear solver context
2104 
2105    Notes:
2106    Most users should have the TS created by calling TSGetSNES()
2107 
2108    Level: developer
2109 
2110 .keywords: timestep, set, SNES
2111 @*/
2112 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2113 {
2114   PetscErrorCode ierr;
2115   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2116 
2117   PetscFunctionBegin;
2118   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2119   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2120   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2121   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2122 
2123   ts->snes = snes;
2124 
2125   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2126   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2127   if (func == SNESTSFormJacobian) {
2128     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2129   }
2130   PetscFunctionReturn(0);
2131 }
2132 
2133 #undef __FUNCT__
2134 #define __FUNCT__ "TSGetKSP"
2135 /*@
2136    TSGetKSP - Returns the KSP (linear solver) associated with
2137    a TS (timestepper) context.
2138 
2139    Not Collective, but KSP is parallel if TS is parallel
2140 
2141    Input Parameter:
2142 .  ts - the TS context obtained from TSCreate()
2143 
2144    Output Parameter:
2145 .  ksp - the nonlinear solver context
2146 
2147    Notes:
2148    The user can then directly manipulate the KSP context to set various
2149    options, etc.  Likewise, the user can then extract and manipulate the
2150    KSP and PC contexts as well.
2151 
2152    TSGetKSP() does not work for integrators that do not use KSP;
2153    in this case TSGetKSP() returns NULL in ksp.
2154 
2155    Level: beginner
2156 
2157 .keywords: timestep, get, KSP
2158 @*/
2159 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2160 {
2161   PetscErrorCode ierr;
2162   SNES           snes;
2163 
2164   PetscFunctionBegin;
2165   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2166   PetscValidPointer(ksp,2);
2167   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2168   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2169   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2170   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2171   PetscFunctionReturn(0);
2172 }
2173 
2174 /* ----------- Routines to set solver parameters ---------- */
2175 
2176 #undef __FUNCT__
2177 #define __FUNCT__ "TSGetDuration"
2178 /*@
2179    TSGetDuration - Gets the maximum number of timesteps to use and
2180    maximum time for iteration.
2181 
2182    Not Collective
2183 
2184    Input Parameters:
2185 +  ts       - the TS context obtained from TSCreate()
2186 .  maxsteps - maximum number of iterations to use, or NULL
2187 -  maxtime  - final time to iterate to, or NULL
2188 
2189    Level: intermediate
2190 
2191 .keywords: TS, timestep, get, maximum, iterations, time
2192 @*/
2193 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2194 {
2195   PetscFunctionBegin;
2196   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2197   if (maxsteps) {
2198     PetscValidIntPointer(maxsteps,2);
2199     *maxsteps = ts->max_steps;
2200   }
2201   if (maxtime) {
2202     PetscValidScalarPointer(maxtime,3);
2203     *maxtime = ts->max_time;
2204   }
2205   PetscFunctionReturn(0);
2206 }
2207 
2208 #undef __FUNCT__
2209 #define __FUNCT__ "TSSetDuration"
2210 /*@
2211    TSSetDuration - Sets the maximum number of timesteps to use and
2212    maximum time for iteration.
2213 
2214    Logically Collective on TS
2215 
2216    Input Parameters:
2217 +  ts - the TS context obtained from TSCreate()
2218 .  maxsteps - maximum number of iterations to use
2219 -  maxtime - final time to iterate to
2220 
2221    Options Database Keys:
2222 .  -ts_max_steps <maxsteps> - Sets maxsteps
2223 .  -ts_final_time <maxtime> - Sets maxtime
2224 
2225    Notes:
2226    The default maximum number of iterations is 5000. Default time is 5.0
2227 
2228    Level: intermediate
2229 
2230 .keywords: TS, timestep, set, maximum, iterations
2231 
2232 .seealso: TSSetExactFinalTime()
2233 @*/
2234 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2235 {
2236   PetscFunctionBegin;
2237   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2238   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2239   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2240   if (maxsteps >= 0) ts->max_steps = maxsteps;
2241   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2242   PetscFunctionReturn(0);
2243 }
2244 
2245 #undef __FUNCT__
2246 #define __FUNCT__ "TSSetSolution"
2247 /*@
2248    TSSetSolution - Sets the initial solution vector
2249    for use by the TS routines.
2250 
2251    Logically Collective on TS and Vec
2252 
2253    Input Parameters:
2254 +  ts - the TS context obtained from TSCreate()
2255 -  u - the solution vector
2256 
2257    Level: beginner
2258 
2259 .keywords: TS, timestep, set, solution, initial conditions
2260 @*/
2261 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2262 {
2263   PetscErrorCode ierr;
2264   DM             dm;
2265 
2266   PetscFunctionBegin;
2267   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2268   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2269   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2270   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2271 
2272   ts->vec_sol = u;
2273 
2274   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2275   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2276   PetscFunctionReturn(0);
2277 }
2278 
2279 #undef __FUNCT__
2280 #define __FUNCT__ "TSAdjointSetSensitivity"
2281 /*@
2282    TSAdjointSetSensitivity - Sets the initial value of sensitivity (w.r.t. initial conditions)
2283    for use by the TS routines.
2284 
2285    Logically Collective on TS and Vec
2286 
2287    Input Parameters:
2288 +  ts - the TS context obtained from TSCreate()
2289 -  u - the solution vector
2290 
2291    Level: beginner
2292 
2293 .keywords: TS, timestep, set, sensitivity, initial conditions
2294 @*/
2295 PetscErrorCode  TSAdjointSetSensitivity(TS ts,Vec *u,PetscInt numberadjs)
2296 {
2297   PetscFunctionBegin;
2298   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2299   PetscValidPointer(u,2);
2300   ts->vecs_sensi = u;
2301   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 TSAdjointSetSensitivityP()");
2302   ts->numberadjs = numberadjs;
2303 
2304   PetscFunctionReturn(0);
2305 }
2306 
2307 #undef __FUNCT__
2308 #define __FUNCT__ "TSAdjointSetSensitivityP"
2309 /*@
2310    TSAdjointSetSensitivityP - Sets the initial value of sensitivity (w.r.t. parameters)
2311    for use by the TS routines.
2312 
2313    Logically Collective on TS and Vec
2314 
2315    Input Parameters:
2316 +  ts - the TS context obtained from TSCreate()
2317 -  u - the solution vector
2318 
2319    Level: beginner
2320 
2321 .keywords: TS, timestep, set, sensitivity, initial conditions
2322 @*/
2323 PetscErrorCode  TSAdjointSetSensitivityP(TS ts,Vec *u,PetscInt numberadjs)
2324 {
2325   PetscFunctionBegin;
2326   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2327   PetscValidPointer(u,2);
2328   ts->vecs_sensip = u;
2329   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 TSAdjointSetSensitivity()");
2330   ts->numberadjs = numberadjs;
2331 
2332   PetscFunctionReturn(0);
2333 }
2334 
2335 #undef __FUNCT__
2336 #define __FUNCT__ "TSAdjointSetRHSJacobianP"
2337 /*@C
2338   TSAdjointSetRHSJacobianP - Sets the function that computes the Jacobian w.r.t. parameters.
2339 
2340   Logically Collective on TS
2341 
2342   Input Parameters:
2343 + ts   - The TS context obtained from TSCreate()
2344 - func - The function
2345 
2346   Calling sequence of func:
2347 $ func (TS ts,PetscReal t,Vec u,Mat A,void *ctx);
2348 +   t - current timestep
2349 .   u - input vector
2350 .   A - output matrix
2351 -   ctx - [optional] user-defined function context
2352 
2353   Level: intermediate
2354 
2355 .keywords: TS, sensitivity
2356 .seealso:
2357 @*/
2358 PetscErrorCode  TSAdjointSetRHSJacobianP(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2359 {
2360   PetscErrorCode ierr;
2361 
2362   PetscFunctionBegin;
2363   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2364   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2365 
2366   ts->rhsjacobianp    = func;
2367   ts->rhsjacobianpctx = ctx;
2368   if(Amat) {
2369     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2370     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2371 
2372     ts->Jacp = Amat;
2373   }
2374   PetscFunctionReturn(0);
2375 }
2376 
2377 #undef __FUNCT__
2378 #define __FUNCT__ "TSAdjointComputeRHSJacobianP"
2379 /*@
2380   TSAdjointComputeRHSJacobianP - Runs the user-defined JacobianP function.
2381 
2382   Collective on TS
2383 
2384   Input Parameters:
2385 . ts   - The TS context obtained from TSCreate()
2386 
2387   Level: developer
2388 
2389 .keywords: TS, sensitivity
2390 .seealso: TSAdjointSetRHSJacobianP()
2391 @*/
2392 PetscErrorCode  TSAdjointComputeRHSJacobianP(TS ts,PetscReal t,Vec X,Mat Amat)
2393 {
2394   PetscErrorCode ierr;
2395 
2396   PetscFunctionBegin;
2397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2398   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2399   PetscValidPointer(Amat,4);
2400 
2401   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2402   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2403   PetscStackPop;
2404 
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 #undef __FUNCT__
2409 #define __FUNCT__ "TSAdjointSetCostIntegrand"
2410 /*@C
2411     TSAdjointSetCostIntegrand - Sets the routine for evaluating the quadrature (or integral) term in a cost function,
2412     where Q_t = r(t,u).
2413 
2414     Logically Collective on TS
2415 
2416     Input Parameters:
2417 +   ts - the TS context obtained from TSCreate()
2418 .   q -  vector to put the computed quadrature term in the cost function (or NULL to have it created)
2419 .   fq - routine for evaluating the right-hand-side function
2420 -   ctx - [optional] user-defined context for private data for the
2421           function evaluation routine (may be NULL)
2422 
2423     Calling sequence of func:
2424 $     TSCostIntegrand(TS ts,PetscReal t,Vec u,PetscReal *f,void *ctx);
2425 
2426 +   t - current timestep
2427 .   u - input vector
2428 .   f - function vector
2429 -   ctx - [optional] user-defined function context
2430 
2431     Level: beginner
2432 
2433 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2434 
2435 .seealso: TSAdjointSetRHSJacobianP(),TSAdjointSetSensitivity(),TSAdjointSetSensitivityP()
2436 @*/
2437 PetscErrorCode  TSAdjointSetCostIntegrand(TS ts,PetscInt numberadjs,Vec q,PetscErrorCode (*fq)(TS,PetscReal,Vec,Vec,void*),void *ctx)
2438 {
2439   PetscErrorCode ierr;
2440   PetscInt size;
2441 
2442   PetscFunctionBegin;
2443   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2444   if (q) {
2445     PetscValidHeaderSpecific(q,VEC_CLASSID,2);
2446   } else {
2447     SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"TSAdjointSetCostIntegrand() requires a vector of size numberajds to hold the value of integrals as 3rd input parameter");
2448   }
2449   if (!ts->numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Call TSAdjointSetSensitivity() or TSAdjointSetSensitivityP() first so that the number of cost functions can be determined.");
2450   if (ts->numberadjs && ts->numberadjs!=numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSAdjointSetCostIntegrand()) is inconsistent with the one set by TSAdjointSetSensitivity() or TSAdjointSetSensitivityP()");
2451   ierr = VecGetSize(q,&size);CHKERRQ(ierr);
2452   ierr = VecZeroEntries(q);CHKERRQ(ierr);
2453   if (size!=numberadjs) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions is inconsistent with the number of integrals (size of the 3rd input vector of TSAdjointSetCostIntegrand()).");
2454 
2455   ierr = PetscObjectReference((PetscObject)q);CHKERRQ(ierr);
2456   ierr = VecDestroy(&ts->vec_costquad);CHKERRQ(ierr);
2457   ts->vec_costquad = q;
2458 
2459   ierr                  = VecDuplicate(ts->vec_costquad,&ts->vec_costintegrand);CHKERRQ(ierr);
2460   ts->costintegrand     = fq;
2461   ts->costintegrandctx  = ctx;
2462 
2463   PetscFunctionReturn(0);
2464 }
2465 
2466 #undef __FUNCT__
2467 #define __FUNCT__ "TSAdjointGetCostQuadrature"
2468 /*@
2469    TSAdjointGetCostQuadrature - Returns the values of the quadrature (or integral) terms in a cost function.
2470    It is valid to call the routine after a backward run.
2471 
2472    Not Collective
2473 
2474    Input Parameter:
2475 .  ts - the TS context obtained from TSCreate()
2476 
2477    Output Parameter:
2478 .  v - the vector containing the solution
2479 
2480    Level: intermediate
2481 
2482 .seealso: TSAdjointSetCostIntegrand()
2483 
2484 .keywords: TS, sensitivity analysis
2485 @*/
2486 PetscErrorCode  TSAdjointGetCostQuadrature(TS ts,Vec *v)
2487 {
2488   PetscFunctionBegin;
2489   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2490   PetscValidPointer(v,2);
2491   *v = ts->vec_costquad;
2492   PetscFunctionReturn(0);
2493 }
2494 
2495 #undef __FUNCT__
2496 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2497 /*@
2498    TSAdjointComputeCostIntegrand - Evaluates the quadrature function in the cost functions.
2499 
2500    Input Parameters:
2501 +  ts - the TS context
2502 .  t - current time
2503 -  U - state vector
2504 
2505    Output Parameter:
2506 .  q - vector of size numberadjs to hold the outputs
2507 
2508    Note:
2509    Most users should not need to explicitly call this routine, as it
2510    is used internally within the sensitivity analysis context.
2511 
2512    Level: developer
2513 
2514 .keywords: TS, compute
2515 
2516 .seealso: TSAdjointSetCostIntegrand()
2517 @*/
2518 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec U,Vec q)
2519 {
2520   PetscErrorCode ierr;
2521 
2522   PetscFunctionBegin;
2523   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2524   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2525   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2526 
2527   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,q,0);CHKERRQ(ierr);
2528   if (ts->costintegrand) {
2529     PetscStackPush("TS user integrand in the cost function");
2530     ierr = (*ts->costintegrand)(ts,t,U,q,ts->costintegrandctx);CHKERRQ(ierr);
2531     PetscStackPop;
2532   } else {
2533     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2534   }
2535 
2536   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,q,0);CHKERRQ(ierr);
2537   PetscFunctionReturn(0);
2538 }
2539 
2540 #undef __FUNCT__
2541 #define __FUNCT__ "TSAdjointSetDRDYFunction"
2542 /*@C
2543   TSAdjointSetDRDYFunction - Sets the function that computes the gradient of the CostIntegrand function r w.r.t. states y.
2544 
2545   Logically Collective on TS
2546 
2547   Input Parameters:
2548 + ts   - The TS context obtained from TSCreate()
2549 - func - The function
2550 
2551   Calling sequence of func:
2552 . PetscErroCode func(TS ts,PetscReal t,Vec U,Vec *drdy,void *ctx);
2553 
2554   Level: intermediate
2555 
2556 .keywords: TS, sensitivity
2557 .seealso:
2558 @*/
2559 PetscErrorCode  TSAdjointSetDRDYFunction(TS ts,Vec *drdy,PetscErrorCode (*func)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2560 {
2561   PetscFunctionBegin;
2562   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2563 
2564   ts->drdyfunction    = func;
2565   ts->drdyfunctionctx = ctx;
2566   ts->vecs_drdy       = drdy;
2567   PetscFunctionReturn(0);
2568 }
2569 
2570 #undef __FUNCT__
2571 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2572 /*@
2573   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2574 
2575   Collective on TS
2576 
2577   Input Parameters:
2578 . ts   - The TS context obtained from TSCreate()
2579 
2580   Notes:
2581   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2582   so most users would not generally call this routine themselves.
2583 
2584   Level: developer
2585 
2586 .keywords: TS, sensitivity
2587 .seealso: TSAdjointComputeDRDYFunction()
2588 @*/
2589 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec X,Vec *drdy)
2590 {
2591   PetscErrorCode ierr;
2592 
2593   PetscFunctionBegin;
2594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2595   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2596 
2597   PetscStackPush("TS user DRDY function for sensitivity analysis");
2598   ierr = (*ts->drdyfunction)(ts,t,X,drdy,ts->drdyfunctionctx); CHKERRQ(ierr);
2599   PetscStackPop;
2600   PetscFunctionReturn(0);
2601 }
2602 
2603 #undef __FUNCT__
2604 #define __FUNCT__ "TSAdjointSetDRDPFunction"
2605 /*@C
2606   TSAdjointSetDRDPFunction - Sets the function that computes the gradient of the CostIntegrand function w.r.t. parameters.
2607 
2608   Logically Collective on TS
2609 
2610   Input Parameters:
2611 + ts   - The TS context obtained from TSCreate()
2612 - func - The function
2613 
2614   Calling sequence of func:
2615 . func(TS ts,PetscReal t,Vec U,Vec *drdy,void *ctx);
2616 
2617   Level: intermediate
2618 
2619 .keywords: TS, sensitivity
2620 .seealso:
2621 @*/
2622 PetscErrorCode  TSAdjointSetDRDPFunction(TS ts,Vec *drdp,PetscErrorCode (*func)(TS,PetscReal,Vec,Vec*,void*),void *ctx)
2623 {
2624   PetscFunctionBegin;
2625   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2626 
2627   ts->drdpfunction    = func;
2628   ts->drdpfunctionctx = ctx;
2629   ts->vecs_drdp       = drdp;
2630 
2631   PetscFunctionReturn(0);
2632 }
2633 
2634 #undef __FUNCT__
2635 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2636 /*@
2637   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2638 
2639   Collective on TS
2640 
2641   Input Parameters:
2642 . ts   - The TS context obtained from TSCreate()
2643 
2644   Notes:
2645   TSDRDPFunction() is typically used for sensitivity implementation,
2646   so most users would not generally call this routine themselves.
2647 
2648   Level: developer
2649 
2650 .keywords: TS, sensitivity
2651 .seealso: TSAdjointSetDRDPFunction()
2652 @*/
2653 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec X,Vec *drdp)
2654 {
2655   PetscErrorCode ierr;
2656 
2657   PetscFunctionBegin;
2658   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2659   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2660 
2661   PetscStackPush("TS user DRDP function for sensitivity analysis");
2662   ierr = (*ts->drdpfunction)(ts,t,X,drdp,ts->drdpfunctionctx); CHKERRQ(ierr);
2663   PetscStackPop;
2664 
2665   PetscFunctionReturn(0);
2666 }
2667 
2668 #undef __FUNCT__
2669 #define __FUNCT__ "TSSetPreStep"
2670 /*@C
2671   TSSetPreStep - Sets the general-purpose function
2672   called once at the beginning of each time step.
2673 
2674   Logically Collective on TS
2675 
2676   Input Parameters:
2677 + ts   - The TS context obtained from TSCreate()
2678 - func - The function
2679 
2680   Calling sequence of func:
2681 . func (TS ts);
2682 
2683   Level: intermediate
2684 
2685   Note:
2686   If a step is rejected, TSStep() will call this routine again before each attempt.
2687   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2688   size of the step being attempted can be obtained using TSGetTimeStep().
2689 
2690 .keywords: TS, timestep
2691 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2692 @*/
2693 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2694 {
2695   PetscFunctionBegin;
2696   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2697   ts->prestep = func;
2698   PetscFunctionReturn(0);
2699 }
2700 
2701 #undef __FUNCT__
2702 #define __FUNCT__ "TSPreStep"
2703 /*@
2704   TSPreStep - Runs the user-defined pre-step function.
2705 
2706   Collective on TS
2707 
2708   Input Parameters:
2709 . ts   - The TS context obtained from TSCreate()
2710 
2711   Notes:
2712   TSPreStep() is typically used within time stepping implementations,
2713   so most users would not generally call this routine themselves.
2714 
2715   Level: developer
2716 
2717 .keywords: TS, timestep
2718 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2719 @*/
2720 PetscErrorCode  TSPreStep(TS ts)
2721 {
2722   PetscErrorCode ierr;
2723 
2724   PetscFunctionBegin;
2725   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2726   if (ts->prestep) {
2727     PetscStackCallStandard((*ts->prestep),(ts));
2728   }
2729   PetscFunctionReturn(0);
2730 }
2731 
2732 #undef __FUNCT__
2733 #define __FUNCT__ "TSSetPreStage"
2734 /*@C
2735   TSSetPreStage - Sets the general-purpose function
2736   called once at the beginning of each stage.
2737 
2738   Logically Collective on TS
2739 
2740   Input Parameters:
2741 + ts   - The TS context obtained from TSCreate()
2742 - func - The function
2743 
2744   Calling sequence of func:
2745 . PetscErrorCode func(TS ts, PetscReal stagetime);
2746 
2747   Level: intermediate
2748 
2749   Note:
2750   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2751   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2752   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2753 
2754 .keywords: TS, timestep
2755 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2756 @*/
2757 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2758 {
2759   PetscFunctionBegin;
2760   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2761   ts->prestage = func;
2762   PetscFunctionReturn(0);
2763 }
2764 
2765 #undef __FUNCT__
2766 #define __FUNCT__ "TSSetPostStage"
2767 /*@C
2768   TSSetPostStage - Sets the general-purpose function
2769   called once at the end of each stage.
2770 
2771   Logically Collective on TS
2772 
2773   Input Parameters:
2774 + ts   - The TS context obtained from TSCreate()
2775 - func - The function
2776 
2777   Calling sequence of func:
2778 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2779 
2780   Level: intermediate
2781 
2782   Note:
2783   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2784   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2785   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2786 
2787 .keywords: TS, timestep
2788 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2789 @*/
2790 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2791 {
2792   PetscFunctionBegin;
2793   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2794   ts->poststage = func;
2795   PetscFunctionReturn(0);
2796 }
2797 
2798 #undef __FUNCT__
2799 #define __FUNCT__ "TSPreStage"
2800 /*@
2801   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2802 
2803   Collective on TS
2804 
2805   Input Parameters:
2806 . ts          - The TS context obtained from TSCreate()
2807   stagetime   - The absolute time of the current stage
2808 
2809   Notes:
2810   TSPreStage() is typically used within time stepping implementations,
2811   most users would not generally call this routine themselves.
2812 
2813   Level: developer
2814 
2815 .keywords: TS, timestep
2816 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2817 @*/
2818 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2819 {
2820   PetscErrorCode ierr;
2821 
2822   PetscFunctionBegin;
2823   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2824   if (ts->prestage) {
2825     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2826   }
2827   PetscFunctionReturn(0);
2828 }
2829 
2830 #undef __FUNCT__
2831 #define __FUNCT__ "TSPostStage"
2832 /*@
2833   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2834 
2835   Collective on TS
2836 
2837   Input Parameters:
2838 . ts          - The TS context obtained from TSCreate()
2839   stagetime   - The absolute time of the current stage
2840   stageindex  - Stage number
2841   Y           - Array of vectors (of size = total number
2842                 of stages) with the stage solutions
2843 
2844   Notes:
2845   TSPostStage() is typically used within time stepping implementations,
2846   most users would not generally call this routine themselves.
2847 
2848   Level: developer
2849 
2850 .keywords: TS, timestep
2851 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2852 @*/
2853 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2854 {
2855   PetscErrorCode ierr;
2856 
2857   PetscFunctionBegin;
2858   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2859   if (ts->poststage) {
2860     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2861   }
2862   PetscFunctionReturn(0);
2863 }
2864 
2865 #undef __FUNCT__
2866 #define __FUNCT__ "TSSetPostStep"
2867 /*@C
2868   TSSetPostStep - Sets the general-purpose function
2869   called once at the end of each time step.
2870 
2871   Logically Collective on TS
2872 
2873   Input Parameters:
2874 + ts   - The TS context obtained from TSCreate()
2875 - func - The function
2876 
2877   Calling sequence of func:
2878 $ func (TS ts);
2879 
2880   Level: intermediate
2881 
2882 .keywords: TS, timestep
2883 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2884 @*/
2885 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2886 {
2887   PetscFunctionBegin;
2888   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2889   ts->poststep = func;
2890   PetscFunctionReturn(0);
2891 }
2892 
2893 #undef __FUNCT__
2894 #define __FUNCT__ "TSPostStep"
2895 /*@
2896   TSPostStep - Runs the user-defined post-step function.
2897 
2898   Collective on TS
2899 
2900   Input Parameters:
2901 . ts   - The TS context obtained from TSCreate()
2902 
2903   Notes:
2904   TSPostStep() is typically used within time stepping implementations,
2905   so most users would not generally call this routine themselves.
2906 
2907   Level: developer
2908 
2909 .keywords: TS, timestep
2910 @*/
2911 PetscErrorCode  TSPostStep(TS ts)
2912 {
2913   PetscErrorCode ierr;
2914 
2915   PetscFunctionBegin;
2916   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2917   if (ts->poststep) {
2918     PetscStackCallStandard((*ts->poststep),(ts));
2919   }
2920   PetscFunctionReturn(0);
2921 }
2922 
2923 /* ------------ Routines to set performance monitoring options ----------- */
2924 
2925 #undef __FUNCT__
2926 #define __FUNCT__ "TSMonitorSet"
2927 /*@C
2928    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2929    timestep to display the iteration's  progress.
2930 
2931    Logically Collective on TS
2932 
2933    Input Parameters:
2934 +  ts - the TS context obtained from TSCreate()
2935 .  monitor - monitoring routine
2936 .  mctx - [optional] user-defined context for private data for the
2937              monitor routine (use NULL if no context is desired)
2938 -  monitordestroy - [optional] routine that frees monitor context
2939           (may be NULL)
2940 
2941    Calling sequence of monitor:
2942 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2943 
2944 +    ts - the TS context
2945 .    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
2946                                been interpolated to)
2947 .    time - current time
2948 .    u - current iterate
2949 -    mctx - [optional] monitoring context
2950 
2951    Notes:
2952    This routine adds an additional monitor to the list of monitors that
2953    already has been loaded.
2954 
2955    Fortran notes: Only a single monitor function can be set for each TS object
2956 
2957    Level: intermediate
2958 
2959 .keywords: TS, timestep, set, monitor
2960 
2961 .seealso: TSMonitorDefault(), TSMonitorCancel()
2962 @*/
2963 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2964 {
2965   PetscFunctionBegin;
2966   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2967   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2968   ts->monitor[ts->numbermonitors]          = monitor;
2969   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2970   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2971   PetscFunctionReturn(0);
2972 }
2973 
2974 #undef __FUNCT__
2975 #define __FUNCT__ "TSMonitorCancel"
2976 /*@C
2977    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2978 
2979    Logically Collective on TS
2980 
2981    Input Parameters:
2982 .  ts - the TS context obtained from TSCreate()
2983 
2984    Notes:
2985    There is no way to remove a single, specific monitor.
2986 
2987    Level: intermediate
2988 
2989 .keywords: TS, timestep, set, monitor
2990 
2991 .seealso: TSMonitorDefault(), TSMonitorSet()
2992 @*/
2993 PetscErrorCode  TSMonitorCancel(TS ts)
2994 {
2995   PetscErrorCode ierr;
2996   PetscInt       i;
2997 
2998   PetscFunctionBegin;
2999   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3000   for (i=0; i<ts->numbermonitors; i++) {
3001     if (ts->monitordestroy[i]) {
3002       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3003     }
3004   }
3005   ts->numbermonitors = 0;
3006   PetscFunctionReturn(0);
3007 }
3008 
3009 #undef __FUNCT__
3010 #define __FUNCT__ "TSMonitorDefault"
3011 /*@
3012    TSMonitorDefault - Sets the Default monitor
3013 
3014    Level: intermediate
3015 
3016 .keywords: TS, set, monitor
3017 
3018 .seealso: TSMonitorDefault(), TSMonitorSet()
3019 @*/
3020 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
3021 {
3022   PetscErrorCode ierr;
3023   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
3024 
3025   PetscFunctionBegin;
3026   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3027   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
3028   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3029   PetscFunctionReturn(0);
3030 }
3031 
3032 #undef __FUNCT__
3033 #define __FUNCT__ "TSSetRetainStages"
3034 /*@
3035    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
3036 
3037    Logically Collective on TS
3038 
3039    Input Argument:
3040 .  ts - time stepping context
3041 
3042    Output Argument:
3043 .  flg - PETSC_TRUE or PETSC_FALSE
3044 
3045    Level: intermediate
3046 
3047 .keywords: TS, set
3048 
3049 .seealso: TSInterpolate(), TSSetPostStep()
3050 @*/
3051 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
3052 {
3053   PetscFunctionBegin;
3054   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3055   ts->retain_stages = flg;
3056   PetscFunctionReturn(0);
3057 }
3058 
3059 #undef __FUNCT__
3060 #define __FUNCT__ "TSInterpolate"
3061 /*@
3062    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3063 
3064    Collective on TS
3065 
3066    Input Argument:
3067 +  ts - time stepping context
3068 -  t - time to interpolate to
3069 
3070    Output Argument:
3071 .  U - state at given time
3072 
3073    Notes:
3074    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
3075 
3076    Level: intermediate
3077 
3078    Developer Notes:
3079    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3080 
3081 .keywords: TS, set
3082 
3083 .seealso: TSSetRetainStages(), TSSetPostStep()
3084 @*/
3085 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3086 {
3087   PetscErrorCode ierr;
3088 
3089   PetscFunctionBegin;
3090   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3091   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3092   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);
3093   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3094   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3095   PetscFunctionReturn(0);
3096 }
3097 
3098 #undef __FUNCT__
3099 #define __FUNCT__ "TSStep"
3100 /*@
3101    TSStep - Steps one time step
3102 
3103    Collective on TS
3104 
3105    Input Parameter:
3106 .  ts - the TS context obtained from TSCreate()
3107 
3108    Level: intermediate
3109 
3110    Notes:
3111    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3112    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3113 
3114    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3115    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3116 
3117 .keywords: TS, timestep, solve
3118 
3119 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3120 @*/
3121 PetscErrorCode  TSStep(TS ts)
3122 {
3123   DM               dm;
3124   PetscErrorCode   ierr;
3125   static PetscBool cite = PETSC_FALSE;
3126 
3127   PetscFunctionBegin;
3128   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3129   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3130                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3131                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3132                                 "  type        = {Preprint},\n"
3133                                 "  number      = {ANL/MCS-P5061-0114},\n"
3134                                 "  institution = {Argonne National Laboratory},\n"
3135                                 "  year        = {2014}\n}\n",&cite);
3136 
3137   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
3138   ierr = TSSetUp(ts);CHKERRQ(ierr);
3139   if (ts->reverse_mode) {
3140     ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3141   }
3142 
3143   ts->reason = TS_CONVERGED_ITERATING;
3144   ts->ptime_prev = ts->ptime;
3145   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3146   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3147 
3148   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3149   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3150   if(ts->reverse_mode) {
3151     if(!ts->ops->stepadj) {
3152       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);
3153     }else {
3154       ierr = (*ts->ops->stepadj)(ts);CHKERRQ(ierr);
3155     }
3156   }else {
3157     ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3158   }
3159   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3160 
3161   ts->time_step_prev = ts->ptime - ts->ptime_prev;
3162   ierr = DMSetOutputSequenceNumber(dm, ts->steps, ts->ptime);CHKERRQ(ierr);
3163 
3164   if (ts->reason < 0) {
3165     if (ts->errorifstepfailed) {
3166       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
3167         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]);
3168       } else if (ts->reason == TS_DIVERGED_STEP_REJECTED) {
3169         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]);
3170       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3171     }
3172   } else if (!ts->reason) {
3173     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3174     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3175   }
3176   PetscFunctionReturn(0);
3177 }
3178 
3179 #undef __FUNCT__
3180 #define __FUNCT__ "TSEvaluateStep"
3181 /*@
3182    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3183 
3184    Collective on TS
3185 
3186    Input Arguments:
3187 +  ts - time stepping context
3188 .  order - desired order of accuracy
3189 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3190 
3191    Output Arguments:
3192 .  U - state at the end of the current step
3193 
3194    Level: advanced
3195 
3196    Notes:
3197    This function cannot be called until all stages have been evaluated.
3198    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.
3199 
3200 .seealso: TSStep(), TSAdapt
3201 @*/
3202 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3203 {
3204   PetscErrorCode ierr;
3205 
3206   PetscFunctionBegin;
3207   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3208   PetscValidType(ts,1);
3209   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3210   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3211   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3212   PetscFunctionReturn(0);
3213 }
3214 
3215 #undef __FUNCT__
3216 #define __FUNCT__ "TSSolve"
3217 /*@
3218    TSSolve - Steps the requested number of timesteps.
3219 
3220    Collective on TS
3221 
3222    Input Parameter:
3223 +  ts - the TS context obtained from TSCreate()
3224 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
3225 
3226    Level: beginner
3227 
3228    Notes:
3229    The final time returned by this function may be different from the time of the internally
3230    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3231    stepped over the final time.
3232 
3233 .keywords: TS, timestep, solve
3234 
3235 .seealso: TSCreate(), TSSetSolution(), TSStep()
3236 @*/
3237 PetscErrorCode TSSolve(TS ts,Vec u)
3238 {
3239   Vec               solution;
3240   PetscErrorCode    ierr;
3241 
3242   PetscFunctionBegin;
3243   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3244   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3245   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 */
3246     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3247     if (!ts->vec_sol || u == ts->vec_sol) {
3248       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3249       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3250       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3251     }
3252     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3253   } else if (u) {
3254     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3255   }
3256   ierr = TSSetUp(ts);CHKERRQ(ierr); /*compute adj coefficients if the reverse mode is on*/
3257   /* reset time step and iteration counters */
3258   ts->steps             = 0;
3259   ts->ksp_its           = 0;
3260   ts->snes_its          = 0;
3261   ts->num_snes_failures = 0;
3262   ts->reject            = 0;
3263   ts->reason            = TS_CONVERGED_ITERATING;
3264 
3265   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3266 
3267   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
3268     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3269     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
3270     ts->solvetime = ts->ptime;
3271   } else {
3272     /* steps the requested number of timesteps. */
3273     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3274     else if (!ts->reverse_mode && ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3275     while (!ts->reason) {
3276       if(!ts->reverse_mode) {
3277         ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3278       }else {
3279         ierr = TSMonitor(ts,ts->max_steps-ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3280       }
3281       ierr = TSStep(ts);CHKERRQ(ierr);
3282       if (ts->event) {
3283 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
3284 	if (ts->event->status != TSEVENT_PROCESSING) {
3285 	  ierr = TSPostStep(ts);CHKERRQ(ierr);
3286 	}
3287       } else {
3288 	ierr = TSPostStep(ts);CHKERRQ(ierr);
3289       }
3290     }
3291     if (!ts->reverse_mode && ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3292       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3293       ts->solvetime = ts->max_time;
3294       solution = u;
3295     } else {
3296       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3297       ts->solvetime = ts->ptime;
3298       solution = ts->vec_sol;
3299     }
3300     if(!ts->reverse_mode) {
3301       ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
3302     }
3303     ierr = VecViewFromOptions(u, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
3304   }
3305 
3306   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3307   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3308   PetscFunctionReturn(0);
3309 }
3310 
3311 #undef __FUNCT__
3312 #define __FUNCT__ "TSMonitor"
3313 /*@
3314    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3315 
3316    Collective on TS
3317 
3318    Input Parameters:
3319 +  ts - time stepping context obtained from TSCreate()
3320 .  step - step number that has just completed
3321 .  ptime - model time of the state
3322 -  u - state at the current model time
3323 
3324    Notes:
3325    TSMonitor() is typically used within the time stepping implementations.
3326    Users might call this function when using the TSStep() interface instead of TSSolve().
3327 
3328    Level: advanced
3329 
3330 .keywords: TS, timestep
3331 @*/
3332 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3333 {
3334   PetscErrorCode ierr;
3335   PetscInt       i,n = ts->numbermonitors;
3336 
3337   PetscFunctionBegin;
3338   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3339   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3340   ierr = VecLockPush(u);CHKERRQ(ierr);
3341   for (i=0; i<n; i++) {
3342     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3343   }
3344   ierr = VecLockPop(u);CHKERRQ(ierr);
3345   PetscFunctionReturn(0);
3346 }
3347 
3348 /* ------------------------------------------------------------------------*/
3349 #undef __FUNCT__
3350 #define __FUNCT__ "TSMonitorLGCtxCreate"
3351 /*@C
3352    TSMonitorLGCtxCreate - Creates a line graph context for use with
3353    TS to monitor the solution process graphically in various ways
3354 
3355    Collective on TS
3356 
3357    Input Parameters:
3358 +  host - the X display to open, or null for the local machine
3359 .  label - the title to put in the title bar
3360 .  x, y - the screen coordinates of the upper left coordinate of the window
3361 .  m, n - the screen width and height in pixels
3362 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3363 
3364    Output Parameter:
3365 .  ctx - the context
3366 
3367    Options Database Key:
3368 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3369 .  -ts_monitor_lg_solution -
3370 .  -ts_monitor_lg_error -
3371 .  -ts_monitor_lg_ksp_iterations -
3372 .  -ts_monitor_lg_snes_iterations -
3373 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
3374 
3375    Notes:
3376    Use TSMonitorLGCtxDestroy() to destroy.
3377 
3378    Level: intermediate
3379 
3380 .keywords: TS, monitor, line graph, residual, seealso
3381 
3382 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
3383 
3384 @*/
3385 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3386 {
3387   PetscDraw      win;
3388   PetscErrorCode ierr;
3389 
3390   PetscFunctionBegin;
3391   ierr = PetscNew(ctx);CHKERRQ(ierr);
3392   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
3393   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
3394   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
3395   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
3396   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
3397   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3398   (*ctx)->howoften = howoften;
3399   PetscFunctionReturn(0);
3400 }
3401 
3402 #undef __FUNCT__
3403 #define __FUNCT__ "TSMonitorLGTimeStep"
3404 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3405 {
3406   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3407   PetscReal      x   = ptime,y;
3408   PetscErrorCode ierr;
3409 
3410   PetscFunctionBegin;
3411   if (!step) {
3412     PetscDrawAxis axis;
3413     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3414     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
3415     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3416     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
3417   }
3418   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3419   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3420   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3421     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3422   }
3423   PetscFunctionReturn(0);
3424 }
3425 
3426 #undef __FUNCT__
3427 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3428 /*@C
3429    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3430    with TSMonitorLGCtxCreate().
3431 
3432    Collective on TSMonitorLGCtx
3433 
3434    Input Parameter:
3435 .  ctx - the monitor context
3436 
3437    Level: intermediate
3438 
3439 .keywords: TS, monitor, line graph, destroy
3440 
3441 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3442 @*/
3443 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3444 {
3445   PetscDraw      draw;
3446   PetscErrorCode ierr;
3447 
3448   PetscFunctionBegin;
3449   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
3450   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3451   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3452   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3453   PetscFunctionReturn(0);
3454 }
3455 
3456 #undef __FUNCT__
3457 #define __FUNCT__ "TSGetTime"
3458 /*@
3459    TSGetTime - Gets the time of the most recently completed step.
3460 
3461    Not Collective
3462 
3463    Input Parameter:
3464 .  ts - the TS context obtained from TSCreate()
3465 
3466    Output Parameter:
3467 .  t  - the current time
3468 
3469    Level: beginner
3470 
3471    Note:
3472    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3473    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3474 
3475 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3476 
3477 .keywords: TS, get, time
3478 @*/
3479 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3480 {
3481   PetscFunctionBegin;
3482   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3483   PetscValidRealPointer(t,2);
3484   *t = ts->ptime;
3485   PetscFunctionReturn(0);
3486 }
3487 
3488 #undef __FUNCT__
3489 #define __FUNCT__ "TSGetPrevTime"
3490 /*@
3491    TSGetPrevTime - Gets the starting time of the previously completed step.
3492 
3493    Not Collective
3494 
3495    Input Parameter:
3496 .  ts - the TS context obtained from TSCreate()
3497 
3498    Output Parameter:
3499 .  t  - the previous time
3500 
3501    Level: beginner
3502 
3503 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3504 
3505 .keywords: TS, get, time
3506 @*/
3507 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3508 {
3509   PetscFunctionBegin;
3510   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3511   PetscValidRealPointer(t,2);
3512   *t = ts->ptime_prev;
3513   PetscFunctionReturn(0);
3514 }
3515 
3516 #undef __FUNCT__
3517 #define __FUNCT__ "TSSetTime"
3518 /*@
3519    TSSetTime - Allows one to reset the time.
3520 
3521    Logically Collective on TS
3522 
3523    Input Parameters:
3524 +  ts - the TS context obtained from TSCreate()
3525 -  time - the time
3526 
3527    Level: intermediate
3528 
3529 .seealso: TSGetTime(), TSSetDuration()
3530 
3531 .keywords: TS, set, time
3532 @*/
3533 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3534 {
3535   PetscFunctionBegin;
3536   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3537   PetscValidLogicalCollectiveReal(ts,t,2);
3538   ts->ptime = t;
3539   PetscFunctionReturn(0);
3540 }
3541 
3542 #undef __FUNCT__
3543 #define __FUNCT__ "TSSetOptionsPrefix"
3544 /*@C
3545    TSSetOptionsPrefix - Sets the prefix used for searching for all
3546    TS options in the database.
3547 
3548    Logically Collective on TS
3549 
3550    Input Parameter:
3551 +  ts     - The TS context
3552 -  prefix - The prefix to prepend to all option names
3553 
3554    Notes:
3555    A hyphen (-) must NOT be given at the beginning of the prefix name.
3556    The first character of all runtime options is AUTOMATICALLY the
3557    hyphen.
3558 
3559    Level: advanced
3560 
3561 .keywords: TS, set, options, prefix, database
3562 
3563 .seealso: TSSetFromOptions()
3564 
3565 @*/
3566 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3567 {
3568   PetscErrorCode ierr;
3569   SNES           snes;
3570 
3571   PetscFunctionBegin;
3572   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3573   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3574   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3575   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3576   PetscFunctionReturn(0);
3577 }
3578 
3579 
3580 #undef __FUNCT__
3581 #define __FUNCT__ "TSAppendOptionsPrefix"
3582 /*@C
3583    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3584    TS options in the database.
3585 
3586    Logically Collective on TS
3587 
3588    Input Parameter:
3589 +  ts     - The TS context
3590 -  prefix - The prefix to prepend to all option names
3591 
3592    Notes:
3593    A hyphen (-) must NOT be given at the beginning of the prefix name.
3594    The first character of all runtime options is AUTOMATICALLY the
3595    hyphen.
3596 
3597    Level: advanced
3598 
3599 .keywords: TS, append, options, prefix, database
3600 
3601 .seealso: TSGetOptionsPrefix()
3602 
3603 @*/
3604 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3605 {
3606   PetscErrorCode ierr;
3607   SNES           snes;
3608 
3609   PetscFunctionBegin;
3610   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3611   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3612   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3613   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3614   PetscFunctionReturn(0);
3615 }
3616 
3617 #undef __FUNCT__
3618 #define __FUNCT__ "TSGetOptionsPrefix"
3619 /*@C
3620    TSGetOptionsPrefix - Sets the prefix used for searching for all
3621    TS options in the database.
3622 
3623    Not Collective
3624 
3625    Input Parameter:
3626 .  ts - The TS context
3627 
3628    Output Parameter:
3629 .  prefix - A pointer to the prefix string used
3630 
3631    Notes: On the fortran side, the user should pass in a string 'prifix' of
3632    sufficient length to hold the prefix.
3633 
3634    Level: intermediate
3635 
3636 .keywords: TS, get, options, prefix, database
3637 
3638 .seealso: TSAppendOptionsPrefix()
3639 @*/
3640 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3641 {
3642   PetscErrorCode ierr;
3643 
3644   PetscFunctionBegin;
3645   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3646   PetscValidPointer(prefix,2);
3647   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3648   PetscFunctionReturn(0);
3649 }
3650 
3651 #undef __FUNCT__
3652 #define __FUNCT__ "TSGetRHSJacobian"
3653 /*@C
3654    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3655 
3656    Not Collective, but parallel objects are returned if TS is parallel
3657 
3658    Input Parameter:
3659 .  ts  - The TS context obtained from TSCreate()
3660 
3661    Output Parameters:
3662 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3663 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3664 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3665 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3666 
3667    Notes: You can pass in NULL for any return argument you do not need.
3668 
3669    Level: intermediate
3670 
3671 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3672 
3673 .keywords: TS, timestep, get, matrix, Jacobian
3674 @*/
3675 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3676 {
3677   PetscErrorCode ierr;
3678   SNES           snes;
3679   DM             dm;
3680 
3681   PetscFunctionBegin;
3682   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3683   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3684   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3685   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3686   PetscFunctionReturn(0);
3687 }
3688 
3689 #undef __FUNCT__
3690 #define __FUNCT__ "TSGetIJacobian"
3691 /*@C
3692    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3693 
3694    Not Collective, but parallel objects are returned if TS is parallel
3695 
3696    Input Parameter:
3697 .  ts  - The TS context obtained from TSCreate()
3698 
3699    Output Parameters:
3700 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3701 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3702 .  f   - The function to compute the matrices
3703 - ctx - User-defined context for Jacobian evaluation routine
3704 
3705    Notes: You can pass in NULL for any return argument you do not need.
3706 
3707    Level: advanced
3708 
3709 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3710 
3711 .keywords: TS, timestep, get, matrix, Jacobian
3712 @*/
3713 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3714 {
3715   PetscErrorCode ierr;
3716   SNES           snes;
3717   DM             dm;
3718 
3719   PetscFunctionBegin;
3720   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3721   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3722   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3723   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3724   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3725   PetscFunctionReturn(0);
3726 }
3727 
3728 
3729 #undef __FUNCT__
3730 #define __FUNCT__ "TSMonitorDrawSolution"
3731 /*@C
3732    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3733    VecView() for the solution at each timestep
3734 
3735    Collective on TS
3736 
3737    Input Parameters:
3738 +  ts - the TS context
3739 .  step - current time-step
3740 .  ptime - current time
3741 -  dummy - either a viewer or NULL
3742 
3743    Options Database:
3744 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3745 
3746    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3747        will look bad
3748 
3749    Level: intermediate
3750 
3751 .keywords: TS,  vector, monitor, view
3752 
3753 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3754 @*/
3755 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3756 {
3757   PetscErrorCode   ierr;
3758   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3759   PetscDraw        draw;
3760 
3761   PetscFunctionBegin;
3762   if (!step && ictx->showinitial) {
3763     if (!ictx->initialsolution) {
3764       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3765     }
3766     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3767   }
3768   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3769 
3770   if (ictx->showinitial) {
3771     PetscReal pause;
3772     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3773     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3774     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3775     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3776     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3777   }
3778   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3779   if (ictx->showtimestepandtime) {
3780     PetscReal xl,yl,xr,yr,tw,w,h;
3781     char      time[32];
3782     size_t    len;
3783 
3784     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3785     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3786     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3787     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3788     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3789     w    = xl + .5*(xr - xl) - .5*len*tw;
3790     h    = yl + .95*(yr - yl);
3791     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3792     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3793   }
3794 
3795   if (ictx->showinitial) {
3796     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3797   }
3798   PetscFunctionReturn(0);
3799 }
3800 
3801 #undef __FUNCT__
3802 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3803 /*@C
3804    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3805 
3806    Collective on TS
3807 
3808    Input Parameters:
3809 +  ts - the TS context
3810 .  step - current time-step
3811 .  ptime - current time
3812 -  dummy - either a viewer or NULL
3813 
3814    Level: intermediate
3815 
3816 .keywords: TS,  vector, monitor, view
3817 
3818 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3819 @*/
3820 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3821 {
3822   PetscErrorCode    ierr;
3823   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3824   PetscDraw         draw;
3825   MPI_Comm          comm;
3826   PetscInt          n;
3827   PetscMPIInt       size;
3828   PetscReal         xl,yl,xr,yr,tw,w,h;
3829   char              time[32];
3830   size_t            len;
3831   const PetscScalar *U;
3832 
3833   PetscFunctionBegin;
3834   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3835   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3836   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3837   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3838   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3839 
3840   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3841 
3842   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3843   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3844   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3845       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3846       PetscFunctionReturn(0);
3847   }
3848   if (!step) ictx->color++;
3849   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3850   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3851 
3852   if (ictx->showtimestepandtime) {
3853     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3854     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3855     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3856     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3857     w    = xl + .5*(xr - xl) - .5*len*tw;
3858     h    = yl + .95*(yr - yl);
3859     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3860   }
3861   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3862   PetscFunctionReturn(0);
3863 }
3864 
3865 
3866 #undef __FUNCT__
3867 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3868 /*@C
3869    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3870 
3871    Collective on TS
3872 
3873    Input Parameters:
3874 .    ctx - the monitor context
3875 
3876    Level: intermediate
3877 
3878 .keywords: TS,  vector, monitor, view
3879 
3880 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3881 @*/
3882 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3883 {
3884   PetscErrorCode ierr;
3885 
3886   PetscFunctionBegin;
3887   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3888   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3889   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3890   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3891   PetscFunctionReturn(0);
3892 }
3893 
3894 #undef __FUNCT__
3895 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3896 /*@C
3897    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3898 
3899    Collective on TS
3900 
3901    Input Parameter:
3902 .    ts - time-step context
3903 
3904    Output Patameter:
3905 .    ctx - the monitor context
3906 
3907    Options Database:
3908 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3909 
3910    Level: intermediate
3911 
3912 .keywords: TS,  vector, monitor, view
3913 
3914 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3915 @*/
3916 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3917 {
3918   PetscErrorCode   ierr;
3919 
3920   PetscFunctionBegin;
3921   ierr = PetscNew(ctx);CHKERRQ(ierr);
3922   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3923   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3924 
3925   (*ctx)->howoften    = howoften;
3926   (*ctx)->showinitial = PETSC_FALSE;
3927   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3928 
3929   (*ctx)->showtimestepandtime = PETSC_FALSE;
3930   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3931   (*ctx)->color = PETSC_DRAW_WHITE;
3932   PetscFunctionReturn(0);
3933 }
3934 
3935 #undef __FUNCT__
3936 #define __FUNCT__ "TSMonitorDrawError"
3937 /*@C
3938    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3939    VecView() for the error at each timestep
3940 
3941    Collective on TS
3942 
3943    Input Parameters:
3944 +  ts - the TS context
3945 .  step - current time-step
3946 .  ptime - current time
3947 -  dummy - either a viewer or NULL
3948 
3949    Level: intermediate
3950 
3951 .keywords: TS,  vector, monitor, view
3952 
3953 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3954 @*/
3955 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3956 {
3957   PetscErrorCode   ierr;
3958   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3959   PetscViewer      viewer = ctx->viewer;
3960   Vec              work;
3961 
3962   PetscFunctionBegin;
3963   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3964   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3965   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3966   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3967   ierr = VecView(work,viewer);CHKERRQ(ierr);
3968   ierr = VecDestroy(&work);CHKERRQ(ierr);
3969   PetscFunctionReturn(0);
3970 }
3971 
3972 #include <petsc-private/dmimpl.h>
3973 #undef __FUNCT__
3974 #define __FUNCT__ "TSSetDM"
3975 /*@
3976    TSSetDM - Sets the DM that may be used by some preconditioners
3977 
3978    Logically Collective on TS and DM
3979 
3980    Input Parameters:
3981 +  ts - the preconditioner context
3982 -  dm - the dm
3983 
3984    Level: intermediate
3985 
3986 
3987 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3988 @*/
3989 PetscErrorCode  TSSetDM(TS ts,DM dm)
3990 {
3991   PetscErrorCode ierr;
3992   SNES           snes;
3993   DMTS           tsdm;
3994 
3995   PetscFunctionBegin;
3996   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3997   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3998   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3999     if (ts->dm->dmts && !dm->dmts) {
4000       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4001       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4002       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4003         tsdm->originaldm = dm;
4004       }
4005     }
4006     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4007   }
4008   ts->dm = dm;
4009 
4010   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4011   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4012   PetscFunctionReturn(0);
4013 }
4014 
4015 #undef __FUNCT__
4016 #define __FUNCT__ "TSGetDM"
4017 /*@
4018    TSGetDM - Gets the DM that may be used by some preconditioners
4019 
4020    Not Collective
4021 
4022    Input Parameter:
4023 . ts - the preconditioner context
4024 
4025    Output Parameter:
4026 .  dm - the dm
4027 
4028    Level: intermediate
4029 
4030 
4031 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4032 @*/
4033 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4034 {
4035   PetscErrorCode ierr;
4036 
4037   PetscFunctionBegin;
4038   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4039   if (!ts->dm) {
4040     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4041     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4042   }
4043   *dm = ts->dm;
4044   PetscFunctionReturn(0);
4045 }
4046 
4047 #undef __FUNCT__
4048 #define __FUNCT__ "SNESTSFormFunction"
4049 /*@
4050    SNESTSFormFunction - Function to evaluate nonlinear residual
4051 
4052    Logically Collective on SNES
4053 
4054    Input Parameter:
4055 + snes - nonlinear solver
4056 . U - the current state at which to evaluate the residual
4057 - ctx - user context, must be a TS
4058 
4059    Output Parameter:
4060 . F - the nonlinear residual
4061 
4062    Notes:
4063    This function is not normally called by users and is automatically registered with the SNES used by TS.
4064    It is most frequently passed to MatFDColoringSetFunction().
4065 
4066    Level: advanced
4067 
4068 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4069 @*/
4070 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4071 {
4072   TS             ts = (TS)ctx;
4073   PetscErrorCode ierr;
4074 
4075   PetscFunctionBegin;
4076   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4077   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4078   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4079   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4080   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4081   PetscFunctionReturn(0);
4082 }
4083 
4084 #undef __FUNCT__
4085 #define __FUNCT__ "SNESTSFormJacobian"
4086 /*@
4087    SNESTSFormJacobian - Function to evaluate the Jacobian
4088 
4089    Collective on SNES
4090 
4091    Input Parameter:
4092 + snes - nonlinear solver
4093 . U - the current state at which to evaluate the residual
4094 - ctx - user context, must be a TS
4095 
4096    Output Parameter:
4097 + A - the Jacobian
4098 . B - the preconditioning matrix (may be the same as A)
4099 - flag - indicates any structure change in the matrix
4100 
4101    Notes:
4102    This function is not normally called by users and is automatically registered with the SNES used by TS.
4103 
4104    Level: developer
4105 
4106 .seealso: SNESSetJacobian()
4107 @*/
4108 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4109 {
4110   TS             ts = (TS)ctx;
4111   PetscErrorCode ierr;
4112 
4113   PetscFunctionBegin;
4114   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4115   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4116   PetscValidPointer(A,3);
4117   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4118   PetscValidPointer(B,4);
4119   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4120   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4121   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4122   PetscFunctionReturn(0);
4123 }
4124 
4125 #undef __FUNCT__
4126 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4127 /*@C
4128    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
4129 
4130    Collective on TS
4131 
4132    Input Arguments:
4133 +  ts - time stepping context
4134 .  t - time at which to evaluate
4135 .  U - state at which to evaluate
4136 -  ctx - context
4137 
4138    Output Arguments:
4139 .  F - right hand side
4140 
4141    Level: intermediate
4142 
4143    Notes:
4144    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4145    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4146 
4147 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4148 @*/
4149 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4150 {
4151   PetscErrorCode ierr;
4152   Mat            Arhs,Brhs;
4153 
4154   PetscFunctionBegin;
4155   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4156   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4157   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4158   PetscFunctionReturn(0);
4159 }
4160 
4161 #undef __FUNCT__
4162 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4163 /*@C
4164    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4165 
4166    Collective on TS
4167 
4168    Input Arguments:
4169 +  ts - time stepping context
4170 .  t - time at which to evaluate
4171 .  U - state at which to evaluate
4172 -  ctx - context
4173 
4174    Output Arguments:
4175 +  A - pointer to operator
4176 .  B - pointer to preconditioning matrix
4177 -  flg - matrix structure flag
4178 
4179    Level: intermediate
4180 
4181    Notes:
4182    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4183 
4184 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4185 @*/
4186 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4187 {
4188   PetscFunctionBegin;
4189   PetscFunctionReturn(0);
4190 }
4191 
4192 #undef __FUNCT__
4193 #define __FUNCT__ "TSComputeIFunctionLinear"
4194 /*@C
4195    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4196 
4197    Collective on TS
4198 
4199    Input Arguments:
4200 +  ts - time stepping context
4201 .  t - time at which to evaluate
4202 .  U - state at which to evaluate
4203 .  Udot - time derivative of state vector
4204 -  ctx - context
4205 
4206    Output Arguments:
4207 .  F - left hand side
4208 
4209    Level: intermediate
4210 
4211    Notes:
4212    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
4213    user is required to write their own TSComputeIFunction.
4214    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4215    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4216 
4217 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
4218 @*/
4219 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4220 {
4221   PetscErrorCode ierr;
4222   Mat            A,B;
4223 
4224   PetscFunctionBegin;
4225   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4226   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4227   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4228   PetscFunctionReturn(0);
4229 }
4230 
4231 #undef __FUNCT__
4232 #define __FUNCT__ "TSComputeIJacobianConstant"
4233 /*@C
4234    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4235 
4236    Collective on TS
4237 
4238    Input Arguments:
4239 +  ts - time stepping context
4240 .  t - time at which to evaluate
4241 .  U - state at which to evaluate
4242 .  Udot - time derivative of state vector
4243 .  shift - shift to apply
4244 -  ctx - context
4245 
4246    Output Arguments:
4247 +  A - pointer to operator
4248 .  B - pointer to preconditioning matrix
4249 -  flg - matrix structure flag
4250 
4251    Level: advanced
4252 
4253    Notes:
4254    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4255 
4256    It is only appropriate for problems of the form
4257 
4258 $     M Udot = F(U,t)
4259 
4260   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4261   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4262   an implicit operator of the form
4263 
4264 $    shift*M + J
4265 
4266   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
4267   a copy of M or reassemble it when requested.
4268 
4269 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4270 @*/
4271 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4272 {
4273   PetscErrorCode ierr;
4274 
4275   PetscFunctionBegin;
4276   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4277   ts->ijacobian.shift = shift;
4278   PetscFunctionReturn(0);
4279 }
4280 
4281 #undef __FUNCT__
4282 #define __FUNCT__ "TSGetEquationType"
4283 /*@
4284    TSGetEquationType - Gets the type of the equation that TS is solving.
4285 
4286    Not Collective
4287 
4288    Input Parameter:
4289 .  ts - the TS context
4290 
4291    Output Parameter:
4292 .  equation_type - see TSEquationType
4293 
4294    Level: beginner
4295 
4296 .keywords: TS, equation type
4297 
4298 .seealso: TSSetEquationType(), TSEquationType
4299 @*/
4300 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4301 {
4302   PetscFunctionBegin;
4303   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4304   PetscValidPointer(equation_type,2);
4305   *equation_type = ts->equation_type;
4306   PetscFunctionReturn(0);
4307 }
4308 
4309 #undef __FUNCT__
4310 #define __FUNCT__ "TSSetEquationType"
4311 /*@
4312    TSSetEquationType - Sets the type of the equation that TS is solving.
4313 
4314    Not Collective
4315 
4316    Input Parameter:
4317 +  ts - the TS context
4318 .  equation_type - see TSEquationType
4319 
4320    Level: advanced
4321 
4322 .keywords: TS, equation type
4323 
4324 .seealso: TSGetEquationType(), TSEquationType
4325 @*/
4326 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4327 {
4328   PetscFunctionBegin;
4329   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4330   ts->equation_type = equation_type;
4331   PetscFunctionReturn(0);
4332 }
4333 
4334 #undef __FUNCT__
4335 #define __FUNCT__ "TSGetConvergedReason"
4336 /*@
4337    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4338 
4339    Not Collective
4340 
4341    Input Parameter:
4342 .  ts - the TS context
4343 
4344    Output Parameter:
4345 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4346             manual pages for the individual convergence tests for complete lists
4347 
4348    Level: beginner
4349 
4350    Notes:
4351    Can only be called after the call to TSSolve() is complete.
4352 
4353 .keywords: TS, nonlinear, set, convergence, test
4354 
4355 .seealso: TSSetConvergenceTest(), TSConvergedReason
4356 @*/
4357 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4358 {
4359   PetscFunctionBegin;
4360   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4361   PetscValidPointer(reason,2);
4362   *reason = ts->reason;
4363   PetscFunctionReturn(0);
4364 }
4365 
4366 #undef __FUNCT__
4367 #define __FUNCT__ "TSSetConvergedReason"
4368 /*@
4369    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4370 
4371    Not Collective
4372 
4373    Input Parameter:
4374 +  ts - the TS context
4375 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4376             manual pages for the individual convergence tests for complete lists
4377 
4378    Level: advanced
4379 
4380    Notes:
4381    Can only be called during TSSolve() is active.
4382 
4383 .keywords: TS, nonlinear, set, convergence, test
4384 
4385 .seealso: TSConvergedReason
4386 @*/
4387 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4388 {
4389   PetscFunctionBegin;
4390   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4391   ts->reason = reason;
4392   PetscFunctionReturn(0);
4393 }
4394 
4395 #undef __FUNCT__
4396 #define __FUNCT__ "TSGetSolveTime"
4397 /*@
4398    TSGetSolveTime - Gets the time after a call to TSSolve()
4399 
4400    Not Collective
4401 
4402    Input Parameter:
4403 .  ts - the TS context
4404 
4405    Output Parameter:
4406 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
4407 
4408    Level: beginner
4409 
4410    Notes:
4411    Can only be called after the call to TSSolve() is complete.
4412 
4413 .keywords: TS, nonlinear, set, convergence, test
4414 
4415 .seealso: TSSetConvergenceTest(), TSConvergedReason
4416 @*/
4417 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4418 {
4419   PetscFunctionBegin;
4420   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4421   PetscValidPointer(ftime,2);
4422   *ftime = ts->solvetime;
4423   PetscFunctionReturn(0);
4424 }
4425 
4426 #undef __FUNCT__
4427 #define __FUNCT__ "TSGetSNESIterations"
4428 /*@
4429    TSGetSNESIterations - Gets the total number of nonlinear iterations
4430    used by the time integrator.
4431 
4432    Not Collective
4433 
4434    Input Parameter:
4435 .  ts - TS context
4436 
4437    Output Parameter:
4438 .  nits - number of nonlinear iterations
4439 
4440    Notes:
4441    This counter is reset to zero for each successive call to TSSolve().
4442 
4443    Level: intermediate
4444 
4445 .keywords: TS, get, number, nonlinear, iterations
4446 
4447 .seealso:  TSGetKSPIterations()
4448 @*/
4449 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4450 {
4451   PetscFunctionBegin;
4452   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4453   PetscValidIntPointer(nits,2);
4454   *nits = ts->snes_its;
4455   PetscFunctionReturn(0);
4456 }
4457 
4458 #undef __FUNCT__
4459 #define __FUNCT__ "TSGetKSPIterations"
4460 /*@
4461    TSGetKSPIterations - Gets the total number of linear iterations
4462    used by the time integrator.
4463 
4464    Not Collective
4465 
4466    Input Parameter:
4467 .  ts - TS context
4468 
4469    Output Parameter:
4470 .  lits - number of linear iterations
4471 
4472    Notes:
4473    This counter is reset to zero for each successive call to TSSolve().
4474 
4475    Level: intermediate
4476 
4477 .keywords: TS, get, number, linear, iterations
4478 
4479 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
4480 @*/
4481 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
4482 {
4483   PetscFunctionBegin;
4484   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4485   PetscValidIntPointer(lits,2);
4486   *lits = ts->ksp_its;
4487   PetscFunctionReturn(0);
4488 }
4489 
4490 #undef __FUNCT__
4491 #define __FUNCT__ "TSGetStepRejections"
4492 /*@
4493    TSGetStepRejections - Gets the total number of rejected steps.
4494 
4495    Not Collective
4496 
4497    Input Parameter:
4498 .  ts - TS context
4499 
4500    Output Parameter:
4501 .  rejects - number of steps rejected
4502 
4503    Notes:
4504    This counter is reset to zero for each successive call to TSSolve().
4505 
4506    Level: intermediate
4507 
4508 .keywords: TS, get, number
4509 
4510 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
4511 @*/
4512 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
4513 {
4514   PetscFunctionBegin;
4515   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4516   PetscValidIntPointer(rejects,2);
4517   *rejects = ts->reject;
4518   PetscFunctionReturn(0);
4519 }
4520 
4521 #undef __FUNCT__
4522 #define __FUNCT__ "TSGetSNESFailures"
4523 /*@
4524    TSGetSNESFailures - Gets the total number of failed SNES solves
4525 
4526    Not Collective
4527 
4528    Input Parameter:
4529 .  ts - TS context
4530 
4531    Output Parameter:
4532 .  fails - number of failed nonlinear solves
4533 
4534    Notes:
4535    This counter is reset to zero for each successive call to TSSolve().
4536 
4537    Level: intermediate
4538 
4539 .keywords: TS, get, number
4540 
4541 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
4542 @*/
4543 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
4544 {
4545   PetscFunctionBegin;
4546   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4547   PetscValidIntPointer(fails,2);
4548   *fails = ts->num_snes_failures;
4549   PetscFunctionReturn(0);
4550 }
4551 
4552 #undef __FUNCT__
4553 #define __FUNCT__ "TSSetMaxStepRejections"
4554 /*@
4555    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
4556 
4557    Not Collective
4558 
4559    Input Parameter:
4560 +  ts - TS context
4561 -  rejects - maximum number of rejected steps, pass -1 for unlimited
4562 
4563    Notes:
4564    The counter is reset to zero for each step
4565 
4566    Options Database Key:
4567  .  -ts_max_reject - Maximum number of step rejections before a step fails
4568 
4569    Level: intermediate
4570 
4571 .keywords: TS, set, maximum, number
4572 
4573 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4574 @*/
4575 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4576 {
4577   PetscFunctionBegin;
4578   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4579   ts->max_reject = rejects;
4580   PetscFunctionReturn(0);
4581 }
4582 
4583 #undef __FUNCT__
4584 #define __FUNCT__ "TSSetMaxSNESFailures"
4585 /*@
4586    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4587 
4588    Not Collective
4589 
4590    Input Parameter:
4591 +  ts - TS context
4592 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4593 
4594    Notes:
4595    The counter is reset to zero for each successive call to TSSolve().
4596 
4597    Options Database Key:
4598  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4599 
4600    Level: intermediate
4601 
4602 .keywords: TS, set, maximum, number
4603 
4604 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4605 @*/
4606 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4607 {
4608   PetscFunctionBegin;
4609   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4610   ts->max_snes_failures = fails;
4611   PetscFunctionReturn(0);
4612 }
4613 
4614 #undef __FUNCT__
4615 #define __FUNCT__ "TSSetErrorIfStepFails"
4616 /*@
4617    TSSetErrorIfStepFails - Error if no step succeeds
4618 
4619    Not Collective
4620 
4621    Input Parameter:
4622 +  ts - TS context
4623 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4624 
4625    Options Database Key:
4626  .  -ts_error_if_step_fails - Error if no step succeeds
4627 
4628    Level: intermediate
4629 
4630 .keywords: TS, set, error
4631 
4632 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4633 @*/
4634 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4635 {
4636   PetscFunctionBegin;
4637   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4638   ts->errorifstepfailed = err;
4639   PetscFunctionReturn(0);
4640 }
4641 
4642 #undef __FUNCT__
4643 #define __FUNCT__ "TSMonitorSolutionBinary"
4644 /*@C
4645    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4646 
4647    Collective on TS
4648 
4649    Input Parameters:
4650 +  ts - the TS context
4651 .  step - current time-step
4652 .  ptime - current time
4653 .  u - current state
4654 -  viewer - binary viewer
4655 
4656    Level: intermediate
4657 
4658 .keywords: TS,  vector, monitor, view
4659 
4660 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4661 @*/
4662 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4663 {
4664   PetscErrorCode ierr;
4665   PetscViewer    v = (PetscViewer)viewer;
4666 
4667   PetscFunctionBegin;
4668   ierr = VecView(u,v);CHKERRQ(ierr);
4669   PetscFunctionReturn(0);
4670 }
4671 
4672 #undef __FUNCT__
4673 #define __FUNCT__ "TSMonitorSolutionVTK"
4674 /*@C
4675    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4676 
4677    Collective on TS
4678 
4679    Input Parameters:
4680 +  ts - the TS context
4681 .  step - current time-step
4682 .  ptime - current time
4683 .  u - current state
4684 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4685 
4686    Level: intermediate
4687 
4688    Notes:
4689    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.
4690    These are named according to the file name template.
4691 
4692    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4693 
4694 .keywords: TS,  vector, monitor, view
4695 
4696 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4697 @*/
4698 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4699 {
4700   PetscErrorCode ierr;
4701   char           filename[PETSC_MAX_PATH_LEN];
4702   PetscViewer    viewer;
4703 
4704   PetscFunctionBegin;
4705   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4706   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4707   ierr = VecView(u,viewer);CHKERRQ(ierr);
4708   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4709   PetscFunctionReturn(0);
4710 }
4711 
4712 #undef __FUNCT__
4713 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4714 /*@C
4715    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4716 
4717    Collective on TS
4718 
4719    Input Parameters:
4720 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4721 
4722    Level: intermediate
4723 
4724    Note:
4725    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4726 
4727 .keywords: TS,  vector, monitor, view
4728 
4729 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4730 @*/
4731 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4732 {
4733   PetscErrorCode ierr;
4734 
4735   PetscFunctionBegin;
4736   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4737   PetscFunctionReturn(0);
4738 }
4739 
4740 #undef __FUNCT__
4741 #define __FUNCT__ "TSGetAdapt"
4742 /*@
4743    TSGetAdapt - Get the adaptive controller context for the current method
4744 
4745    Collective on TS if controller has not been created yet
4746 
4747    Input Arguments:
4748 .  ts - time stepping context
4749 
4750    Output Arguments:
4751 .  adapt - adaptive controller
4752 
4753    Level: intermediate
4754 
4755 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4756 @*/
4757 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4758 {
4759   PetscErrorCode ierr;
4760 
4761   PetscFunctionBegin;
4762   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4763   PetscValidPointer(adapt,2);
4764   if (!ts->adapt) {
4765     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4766     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4767     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4768   }
4769   *adapt = ts->adapt;
4770   PetscFunctionReturn(0);
4771 }
4772 
4773 #undef __FUNCT__
4774 #define __FUNCT__ "TSSetTolerances"
4775 /*@
4776    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4777 
4778    Logically Collective
4779 
4780    Input Arguments:
4781 +  ts - time integration context
4782 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4783 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4784 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4785 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4786 
4787    Options Database keys:
4788 +  -ts_rtol <rtol> - relative tolerance for local truncation error
4789 -  -ts_atol <atol> Absolute tolerance for local truncation error
4790 
4791    Level: beginner
4792 
4793 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4794 @*/
4795 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4796 {
4797   PetscErrorCode ierr;
4798 
4799   PetscFunctionBegin;
4800   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4801   if (vatol) {
4802     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4803     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4804 
4805     ts->vatol = vatol;
4806   }
4807   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4808   if (vrtol) {
4809     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4810     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4811 
4812     ts->vrtol = vrtol;
4813   }
4814   PetscFunctionReturn(0);
4815 }
4816 
4817 #undef __FUNCT__
4818 #define __FUNCT__ "TSGetTolerances"
4819 /*@
4820    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4821 
4822    Logically Collective
4823 
4824    Input Arguments:
4825 .  ts - time integration context
4826 
4827    Output Arguments:
4828 +  atol - scalar absolute tolerances, NULL to ignore
4829 .  vatol - vector of absolute tolerances, NULL to ignore
4830 .  rtol - scalar relative tolerances, NULL to ignore
4831 -  vrtol - vector of relative tolerances, NULL to ignore
4832 
4833    Level: beginner
4834 
4835 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4836 @*/
4837 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4838 {
4839   PetscFunctionBegin;
4840   if (atol)  *atol  = ts->atol;
4841   if (vatol) *vatol = ts->vatol;
4842   if (rtol)  *rtol  = ts->rtol;
4843   if (vrtol) *vrtol = ts->vrtol;
4844   PetscFunctionReturn(0);
4845 }
4846 
4847 #undef __FUNCT__
4848 #define __FUNCT__ "TSErrorNormWRMS"
4849 /*@
4850    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4851 
4852    Collective on TS
4853 
4854    Input Arguments:
4855 +  ts - time stepping context
4856 -  Y - state vector to be compared to ts->vec_sol
4857 
4858    Output Arguments:
4859 .  norm - weighted norm, a value of 1.0 is considered small
4860 
4861    Level: developer
4862 
4863 .seealso: TSSetTolerances()
4864 @*/
4865 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4866 {
4867   PetscErrorCode    ierr;
4868   PetscInt          i,n,N;
4869   const PetscScalar *u,*y;
4870   Vec               U;
4871   PetscReal         sum,gsum;
4872 
4873   PetscFunctionBegin;
4874   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4875   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4876   PetscValidPointer(norm,3);
4877   U = ts->vec_sol;
4878   PetscCheckSameTypeAndComm(U,1,Y,2);
4879   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4880 
4881   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4882   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4883   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4884   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4885   sum  = 0.;
4886   if (ts->vatol && ts->vrtol) {
4887     const PetscScalar *atol,*rtol;
4888     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4889     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4890     for (i=0; i<n; i++) {
4891       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4892       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4893     }
4894     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4895     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4896   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4897     const PetscScalar *atol;
4898     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4899     for (i=0; i<n; i++) {
4900       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4901       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4902     }
4903     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4904   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4905     const PetscScalar *rtol;
4906     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4907     for (i=0; i<n; i++) {
4908       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4909       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4910     }
4911     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4912   } else {                      /* scalar atol, scalar rtol */
4913     for (i=0; i<n; i++) {
4914       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4915       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4916     }
4917   }
4918   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4919   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4920 
4921   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4922   *norm = PetscSqrtReal(gsum / N);
4923   if (PetscIsInfOrNanReal(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4924   PetscFunctionReturn(0);
4925 }
4926 
4927 #undef __FUNCT__
4928 #define __FUNCT__ "TSSetCFLTimeLocal"
4929 /*@
4930    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4931 
4932    Logically Collective on TS
4933 
4934    Input Arguments:
4935 +  ts - time stepping context
4936 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4937 
4938    Note:
4939    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4940 
4941    Level: intermediate
4942 
4943 .seealso: TSGetCFLTime(), TSADAPTCFL
4944 @*/
4945 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4946 {
4947   PetscFunctionBegin;
4948   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4949   ts->cfltime_local = cfltime;
4950   ts->cfltime       = -1.;
4951   PetscFunctionReturn(0);
4952 }
4953 
4954 #undef __FUNCT__
4955 #define __FUNCT__ "TSGetCFLTime"
4956 /*@
4957    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4958 
4959    Collective on TS
4960 
4961    Input Arguments:
4962 .  ts - time stepping context
4963 
4964    Output Arguments:
4965 .  cfltime - maximum stable time step for forward Euler
4966 
4967    Level: advanced
4968 
4969 .seealso: TSSetCFLTimeLocal()
4970 @*/
4971 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4972 {
4973   PetscErrorCode ierr;
4974 
4975   PetscFunctionBegin;
4976   if (ts->cfltime < 0) {
4977     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4978   }
4979   *cfltime = ts->cfltime;
4980   PetscFunctionReturn(0);
4981 }
4982 
4983 #undef __FUNCT__
4984 #define __FUNCT__ "TSVISetVariableBounds"
4985 /*@
4986    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4987 
4988    Input Parameters:
4989 .  ts   - the TS context.
4990 .  xl   - lower bound.
4991 .  xu   - upper bound.
4992 
4993    Notes:
4994    If this routine is not called then the lower and upper bounds are set to
4995    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
4996 
4997    Level: advanced
4998 
4999 @*/
5000 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5001 {
5002   PetscErrorCode ierr;
5003   SNES           snes;
5004 
5005   PetscFunctionBegin;
5006   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5007   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5008   PetscFunctionReturn(0);
5009 }
5010 
5011 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5012 #include <mex.h>
5013 
5014 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5015 
5016 #undef __FUNCT__
5017 #define __FUNCT__ "TSComputeFunction_Matlab"
5018 /*
5019    TSComputeFunction_Matlab - Calls the function that has been set with
5020                          TSSetFunctionMatlab().
5021 
5022    Collective on TS
5023 
5024    Input Parameters:
5025 +  snes - the TS context
5026 -  u - input vector
5027 
5028    Output Parameter:
5029 .  y - function vector, as set by TSSetFunction()
5030 
5031    Notes:
5032    TSComputeFunction() is typically used within nonlinear solvers
5033    implementations, so most users would not generally call this routine
5034    themselves.
5035 
5036    Level: developer
5037 
5038 .keywords: TS, nonlinear, compute, function
5039 
5040 .seealso: TSSetFunction(), TSGetFunction()
5041 */
5042 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5043 {
5044   PetscErrorCode  ierr;
5045   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5046   int             nlhs  = 1,nrhs = 7;
5047   mxArray         *plhs[1],*prhs[7];
5048   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5049 
5050   PetscFunctionBegin;
5051   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5052   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5053   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5054   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5055   PetscCheckSameComm(snes,1,u,3);
5056   PetscCheckSameComm(snes,1,y,5);
5057 
5058   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5059   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5060   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5061   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5062 
5063   prhs[0] =  mxCreateDoubleScalar((double)ls);
5064   prhs[1] =  mxCreateDoubleScalar(time);
5065   prhs[2] =  mxCreateDoubleScalar((double)lx);
5066   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5067   prhs[4] =  mxCreateDoubleScalar((double)ly);
5068   prhs[5] =  mxCreateString(sctx->funcname);
5069   prhs[6] =  sctx->ctx;
5070   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5071   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5072   mxDestroyArray(prhs[0]);
5073   mxDestroyArray(prhs[1]);
5074   mxDestroyArray(prhs[2]);
5075   mxDestroyArray(prhs[3]);
5076   mxDestroyArray(prhs[4]);
5077   mxDestroyArray(prhs[5]);
5078   mxDestroyArray(plhs[0]);
5079   PetscFunctionReturn(0);
5080 }
5081 
5082 
5083 #undef __FUNCT__
5084 #define __FUNCT__ "TSSetFunctionMatlab"
5085 /*
5086    TSSetFunctionMatlab - Sets the function evaluation routine and function
5087    vector for use by the TS routines in solving ODEs
5088    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5089 
5090    Logically Collective on TS
5091 
5092    Input Parameters:
5093 +  ts - the TS context
5094 -  func - function evaluation routine
5095 
5096    Calling sequence of func:
5097 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5098 
5099    Level: beginner
5100 
5101 .keywords: TS, nonlinear, set, function
5102 
5103 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5104 */
5105 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5106 {
5107   PetscErrorCode  ierr;
5108   TSMatlabContext *sctx;
5109 
5110   PetscFunctionBegin;
5111   /* currently sctx is memory bleed */
5112   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5113   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5114   /*
5115      This should work, but it doesn't
5116   sctx->ctx = ctx;
5117   mexMakeArrayPersistent(sctx->ctx);
5118   */
5119   sctx->ctx = mxDuplicateArray(ctx);
5120 
5121   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5122   PetscFunctionReturn(0);
5123 }
5124 
5125 #undef __FUNCT__
5126 #define __FUNCT__ "TSComputeJacobian_Matlab"
5127 /*
5128    TSComputeJacobian_Matlab - Calls the function that has been set with
5129                          TSSetJacobianMatlab().
5130 
5131    Collective on TS
5132 
5133    Input Parameters:
5134 +  ts - the TS context
5135 .  u - input vector
5136 .  A, B - the matrices
5137 -  ctx - user context
5138 
5139    Level: developer
5140 
5141 .keywords: TS, nonlinear, compute, function
5142 
5143 .seealso: TSSetFunction(), TSGetFunction()
5144 @*/
5145 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5146 {
5147   PetscErrorCode  ierr;
5148   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5149   int             nlhs  = 2,nrhs = 9;
5150   mxArray         *plhs[2],*prhs[9];
5151   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5152 
5153   PetscFunctionBegin;
5154   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5155   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5156 
5157   /* call Matlab function in ctx with arguments u and y */
5158 
5159   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5160   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5161   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5162   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5163   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5164 
5165   prhs[0] =  mxCreateDoubleScalar((double)ls);
5166   prhs[1] =  mxCreateDoubleScalar((double)time);
5167   prhs[2] =  mxCreateDoubleScalar((double)lx);
5168   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5169   prhs[4] =  mxCreateDoubleScalar((double)shift);
5170   prhs[5] =  mxCreateDoubleScalar((double)lA);
5171   prhs[6] =  mxCreateDoubleScalar((double)lB);
5172   prhs[7] =  mxCreateString(sctx->funcname);
5173   prhs[8] =  sctx->ctx;
5174   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5175   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5176   mxDestroyArray(prhs[0]);
5177   mxDestroyArray(prhs[1]);
5178   mxDestroyArray(prhs[2]);
5179   mxDestroyArray(prhs[3]);
5180   mxDestroyArray(prhs[4]);
5181   mxDestroyArray(prhs[5]);
5182   mxDestroyArray(prhs[6]);
5183   mxDestroyArray(prhs[7]);
5184   mxDestroyArray(plhs[0]);
5185   mxDestroyArray(plhs[1]);
5186   PetscFunctionReturn(0);
5187 }
5188 
5189 
5190 #undef __FUNCT__
5191 #define __FUNCT__ "TSSetJacobianMatlab"
5192 /*
5193    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5194    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
5195 
5196    Logically Collective on TS
5197 
5198    Input Parameters:
5199 +  ts - the TS context
5200 .  A,B - Jacobian matrices
5201 .  func - function evaluation routine
5202 -  ctx - user context
5203 
5204    Calling sequence of func:
5205 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5206 
5207 
5208    Level: developer
5209 
5210 .keywords: TS, nonlinear, set, function
5211 
5212 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5213 */
5214 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5215 {
5216   PetscErrorCode  ierr;
5217   TSMatlabContext *sctx;
5218 
5219   PetscFunctionBegin;
5220   /* currently sctx is memory bleed */
5221   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5222   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5223   /*
5224      This should work, but it doesn't
5225   sctx->ctx = ctx;
5226   mexMakeArrayPersistent(sctx->ctx);
5227   */
5228   sctx->ctx = mxDuplicateArray(ctx);
5229 
5230   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5231   PetscFunctionReturn(0);
5232 }
5233 
5234 #undef __FUNCT__
5235 #define __FUNCT__ "TSMonitor_Matlab"
5236 /*
5237    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5238 
5239    Collective on TS
5240 
5241 .seealso: TSSetFunction(), TSGetFunction()
5242 @*/
5243 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5244 {
5245   PetscErrorCode  ierr;
5246   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5247   int             nlhs  = 1,nrhs = 6;
5248   mxArray         *plhs[1],*prhs[6];
5249   long long int   lx = 0,ls = 0;
5250 
5251   PetscFunctionBegin;
5252   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5253   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5254 
5255   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5256   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5257 
5258   prhs[0] =  mxCreateDoubleScalar((double)ls);
5259   prhs[1] =  mxCreateDoubleScalar((double)it);
5260   prhs[2] =  mxCreateDoubleScalar((double)time);
5261   prhs[3] =  mxCreateDoubleScalar((double)lx);
5262   prhs[4] =  mxCreateString(sctx->funcname);
5263   prhs[5] =  sctx->ctx;
5264   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5265   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5266   mxDestroyArray(prhs[0]);
5267   mxDestroyArray(prhs[1]);
5268   mxDestroyArray(prhs[2]);
5269   mxDestroyArray(prhs[3]);
5270   mxDestroyArray(prhs[4]);
5271   mxDestroyArray(plhs[0]);
5272   PetscFunctionReturn(0);
5273 }
5274 
5275 
5276 #undef __FUNCT__
5277 #define __FUNCT__ "TSMonitorSetMatlab"
5278 /*
5279    TSMonitorSetMatlab - Sets the monitor function from Matlab
5280 
5281    Level: developer
5282 
5283 .keywords: TS, nonlinear, set, function
5284 
5285 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5286 */
5287 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5288 {
5289   PetscErrorCode  ierr;
5290   TSMatlabContext *sctx;
5291 
5292   PetscFunctionBegin;
5293   /* currently sctx is memory bleed */
5294   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5295   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5296   /*
5297      This should work, but it doesn't
5298   sctx->ctx = ctx;
5299   mexMakeArrayPersistent(sctx->ctx);
5300   */
5301   sctx->ctx = mxDuplicateArray(ctx);
5302 
5303   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5304   PetscFunctionReturn(0);
5305 }
5306 #endif
5307 
5308 
5309 
5310 #undef __FUNCT__
5311 #define __FUNCT__ "TSMonitorLGSolution"
5312 /*@C
5313    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5314        in a time based line graph
5315 
5316    Collective on TS
5317 
5318    Input Parameters:
5319 +  ts - the TS context
5320 .  step - current time-step
5321 .  ptime - current time
5322 -  lg - a line graph object
5323 
5324    Level: intermediate
5325 
5326     Notes: each process in a parallel run displays its component solutions in a separate window
5327 
5328 .keywords: TS,  vector, monitor, view
5329 
5330 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5331 @*/
5332 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5333 {
5334   PetscErrorCode    ierr;
5335   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5336   const PetscScalar *yy;
5337   PetscInt          dim;
5338 
5339   PetscFunctionBegin;
5340   if (!step) {
5341     PetscDrawAxis axis;
5342     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5343     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
5344     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5345     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5346     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5347   }
5348   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
5349 #if defined(PETSC_USE_COMPLEX)
5350   {
5351     PetscReal *yreal;
5352     PetscInt  i,n;
5353     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
5354     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5355     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5356     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5357     ierr = PetscFree(yreal);CHKERRQ(ierr);
5358   }
5359 #else
5360   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5361 #endif
5362   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
5363   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5364     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5365   }
5366   PetscFunctionReturn(0);
5367 }
5368 
5369 #undef __FUNCT__
5370 #define __FUNCT__ "TSMonitorLGError"
5371 /*@C
5372    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
5373        in a time based line graph
5374 
5375    Collective on TS
5376 
5377    Input Parameters:
5378 +  ts - the TS context
5379 .  step - current time-step
5380 .  ptime - current time
5381 -  lg - a line graph object
5382 
5383    Level: intermediate
5384 
5385    Notes:
5386    Only for sequential solves.
5387 
5388    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
5389 
5390    Options Database Keys:
5391 .  -ts_monitor_lg_error - create a graphical monitor of error history
5392 
5393 .keywords: TS,  vector, monitor, view
5394 
5395 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
5396 @*/
5397 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5398 {
5399   PetscErrorCode    ierr;
5400   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
5401   const PetscScalar *yy;
5402   Vec               y;
5403   PetscInt          dim;
5404 
5405   PetscFunctionBegin;
5406   if (!step) {
5407     PetscDrawAxis axis;
5408     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5409     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
5410     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
5411     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
5412     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5413   }
5414   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
5415   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
5416   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
5417   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
5418 #if defined(PETSC_USE_COMPLEX)
5419   {
5420     PetscReal *yreal;
5421     PetscInt  i,n;
5422     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
5423     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
5424     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
5425     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
5426     ierr = PetscFree(yreal);CHKERRQ(ierr);
5427   }
5428 #else
5429   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
5430 #endif
5431   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
5432   ierr = VecDestroy(&y);CHKERRQ(ierr);
5433   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
5434     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5435   }
5436   PetscFunctionReturn(0);
5437 }
5438 
5439 #undef __FUNCT__
5440 #define __FUNCT__ "TSMonitorLGSNESIterations"
5441 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5442 {
5443   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5444   PetscReal      x   = ptime,y;
5445   PetscErrorCode ierr;
5446   PetscInt       its;
5447 
5448   PetscFunctionBegin;
5449   if (!n) {
5450     PetscDrawAxis axis;
5451 
5452     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5453     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
5454     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5455 
5456     ctx->snes_its = 0;
5457   }
5458   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
5459   y    = its - ctx->snes_its;
5460   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5461   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5462     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5463   }
5464   ctx->snes_its = its;
5465   PetscFunctionReturn(0);
5466 }
5467 
5468 #undef __FUNCT__
5469 #define __FUNCT__ "TSMonitorLGKSPIterations"
5470 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
5471 {
5472   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
5473   PetscReal      x   = ptime,y;
5474   PetscErrorCode ierr;
5475   PetscInt       its;
5476 
5477   PetscFunctionBegin;
5478   if (!n) {
5479     PetscDrawAxis axis;
5480 
5481     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
5482     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
5483     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
5484 
5485     ctx->ksp_its = 0;
5486   }
5487   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
5488   y    = its - ctx->ksp_its;
5489   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
5490   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
5491     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
5492   }
5493   ctx->ksp_its = its;
5494   PetscFunctionReturn(0);
5495 }
5496 
5497 #undef __FUNCT__
5498 #define __FUNCT__ "TSComputeLinearStability"
5499 /*@
5500    TSComputeLinearStability - computes the linear stability function at a point
5501 
5502    Collective on TS and Vec
5503 
5504    Input Parameters:
5505 +  ts - the TS context
5506 -  xr,xi - real and imaginary part of input arguments
5507 
5508    Output Parameters:
5509 .  yr,yi - real and imaginary part of function value
5510 
5511    Level: developer
5512 
5513 .keywords: TS, compute
5514 
5515 .seealso: TSSetRHSFunction(), TSComputeIFunction()
5516 @*/
5517 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
5518 {
5519   PetscErrorCode ierr;
5520 
5521   PetscFunctionBegin;
5522   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5523   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
5524   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
5525   PetscFunctionReturn(0);
5526 }
5527 
5528 #undef __FUNCT__
5529 #define __FUNCT__ "TSRollBack"
5530 /*@
5531    TSRollBack - Rolls back one time step
5532 
5533    Collective on TS
5534 
5535    Input Parameter:
5536 .  ts - the TS context obtained from TSCreate()
5537 
5538    Level: advanced
5539 
5540 .keywords: TS, timestep, rollback
5541 
5542 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
5543 @*/
5544 PetscErrorCode  TSRollBack(TS ts)
5545 {
5546   PetscErrorCode ierr;
5547 
5548   PetscFunctionBegin;
5549   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5550 
5551   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
5552   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
5553   ts->time_step = ts->ptime - ts->ptime_prev;
5554   ts->ptime = ts->ptime_prev;
5555   PetscFunctionReturn(0);
5556 }
5557 
5558 #undef __FUNCT__
5559 #define __FUNCT__ "TSGetStages"
5560 /*@
5561    TSGetStages - Get the number of stages and stage values
5562 
5563    Input Parameter:
5564 .  ts - the TS context obtained from TSCreate()
5565 
5566    Level: advanced
5567 
5568 .keywords: TS, getstages
5569 
5570 .seealso: TSCreate()
5571 @*/
5572 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns, Vec **Y)
5573 {
5574   PetscErrorCode ierr;
5575 
5576   PetscFunctionBegin;
5577   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
5578   PetscValidPointer(ns,2);
5579 
5580   if (!ts->ops->getstages) *ns=0;
5581   else {
5582     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
5583   }
5584   PetscFunctionReturn(0);
5585 }
5586 
5587 
5588 
5589