xref: /petsc/src/ts/interface/ts.c (revision 89d949e22d93de971d3ed7d7fdc00f23508da20b)
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"
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(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_max_steps maxsteps - maximum number of time-steps to take
73 .  -ts_final_time time - maximum time to compute to
74 .  -ts_dt dt - initial time step
75 .  -ts_monitor - print information at each timestep
76 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
77 .  -ts_monitor_lg_solution - Monitor solution graphically
78 .  -ts_monitor_lg_error - Monitor error graphically
79 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
80 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
81 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
82 .  -ts_monitor_draw_solution - Monitor solution graphically
83 .  -ts_monitor_draw_solution_phase - Monitor solution graphically with phase diagram
84 .  -ts_monitor_draw_error - Monitor error graphically
85 .  -ts_monitor_solution_binary <filename> - Save each solution to a binary file
86 -  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
87 
88    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
89 
90    Level: beginner
91 
92 .keywords: TS, timestep, set, options, database
93 
94 .seealso: TSGetType()
95 @*/
96 PetscErrorCode  TSSetFromOptions(TS ts)
97 {
98   PetscBool              opt,flg;
99   PetscErrorCode         ierr;
100   PetscViewer            monviewer;
101   char                   monfilename[PETSC_MAX_PATH_LEN];
102   SNES                   snes;
103   TSAdapt                adapt;
104   PetscReal              time_step;
105   TSExactFinalTimeOption eftopt;
106   char                   dir[16];
107 
108   PetscFunctionBegin;
109   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
110   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
111   /* Handle TS type options */
112   ierr = TSSetTypeFromOptions(ts);CHKERRQ(ierr);
113 
114   /* Handle generic TS options */
115   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
116   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
117   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
118   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
119   if (flg) {
120     ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
121   }
122   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);
123   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
124   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
125   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
126   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
127   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
128   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
129 
130 #if defined(PETSC_HAVE_SAWS)
131   {
132   PetscBool set;
133   flg  = PETSC_FALSE;
134   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
135   if (set) {
136     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
137   }
138   }
139 #endif
140 
141   /* Monitor options */
142   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
143   if (flg) {
144     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
145     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
146   }
147   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
148   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
149 
150   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
151   if (opt) {
152     TSMonitorLGCtx ctx;
153     PetscInt       howoften = 1;
154 
155     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
156     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
157     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
158   }
159   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
160   if (opt) {
161     TSMonitorLGCtx ctx;
162     PetscInt       howoften = 1;
163 
164     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
165     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
166     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
167   }
168   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
169   if (opt) {
170     TSMonitorLGCtx ctx;
171     PetscInt       howoften = 1;
172 
173     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
174     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
175     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
176   }
177   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
178   if (opt) {
179     TSMonitorLGCtx ctx;
180     PetscInt       howoften = 1;
181 
182     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
183     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
184     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
185   }
186   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
187   if (opt) {
188     TSMonitorLGCtx ctx;
189     PetscInt       howoften = 1;
190 
191     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
192     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
193     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
194   }
195   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
196   if (opt) {
197     TSMonitorSPEigCtx ctx;
198     PetscInt          howoften = 1;
199 
200     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
201     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
202     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
203   }
204   opt  = PETSC_FALSE;
205   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
206   if (opt) {
207     TSMonitorDrawCtx ctx;
208     PetscInt         howoften = 1;
209 
210     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
211     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
212     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
213   }
214   opt  = PETSC_FALSE;
215   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
216   if (opt) {
217     TSMonitorDrawCtx ctx;
218     PetscReal        bounds[4];
219     PetscInt         n = 4;
220     PetscDraw        draw;
221 
222     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
223     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
224     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
225     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
226     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
227     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
228     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
229     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
230     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
231     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
232     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
233   }
234   opt  = PETSC_FALSE;
235   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorDrawCtx ctx;
238     PetscInt         howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
243   }
244   opt  = PETSC_FALSE;
245   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
246   if (flg) {
247     PetscViewer ctx;
248     if (monfilename[0]) {
249       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
250       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
251     } else {
252       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
253       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
254     }
255   }
256   opt  = PETSC_FALSE;
257   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);
258   if (flg) {
259     const char *ptr,*ptr2;
260     char       *filetemplate;
261     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
262     /* Do some cursory validation of the input. */
263     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
264     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
265     for (ptr++; ptr && *ptr; ptr++) {
266       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
267       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");
268       if (ptr2) break;
269     }
270     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
271     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
272   }
273 
274   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
275   if (flg) {
276     TSMonitorDMDARayCtx *rayctx;
277     int                  ray = 0;
278     DMDADirection        ddir;
279     DM                   da;
280     PetscMPIInt          rank;
281 
282     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
283     if (dir[0] == 'x') ddir = DMDA_X;
284     else if (dir[0] == 'y') ddir = DMDA_Y;
285     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
286     sscanf(dir+2,"%d",&ray);
287 
288     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
289     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
290     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
291     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
292     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
293     if (!rank) {
294       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
295     }
296     rayctx->lgctx = NULL;
297     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
298   }
299   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
300   if (flg) {
301     TSMonitorDMDARayCtx *rayctx;
302     int                 ray = 0;
303     DMDADirection       ddir;
304     DM                  da;
305     PetscInt            howoften = 1;
306 
307     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
308     if      (dir[0] == 'x') ddir = DMDA_X;
309     else if (dir[0] == 'y') ddir = DMDA_Y;
310     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
311     sscanf(dir+2, "%d", &ray);
312 
313     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
314     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
315     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
316     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
317     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
318     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
319   }
320 
321   /*
322      This code is all wrong. One is creating objects inside the TSSetFromOptions() so if run with the options gui
323      will bleed memory. Also one is using a PetscOptionsBegin() inside a PetscOptionsBegin()
324   */
325   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
326   ierr = TSAdaptSetFromOptions(adapt);CHKERRQ(ierr);
327 
328   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
329   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
330 
331   /* Handle specific TS options */
332   if (ts->ops->setfromoptions) {
333     ierr = (*ts->ops->setfromoptions)(ts);CHKERRQ(ierr);
334   }
335 
336   /* process any options handlers added with PetscObjectAddOptionsHandler() */
337   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
338   ierr = PetscOptionsEnd();CHKERRQ(ierr);
339   PetscFunctionReturn(0);
340 }
341 
342 #undef __FUNCT__
343 #undef __FUNCT__
344 #define __FUNCT__ "TSComputeRHSJacobian"
345 /*@
346    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
347       set with TSSetRHSJacobian().
348 
349    Collective on TS and Vec
350 
351    Input Parameters:
352 +  ts - the TS context
353 .  t - current timestep
354 -  U - input vector
355 
356    Output Parameters:
357 +  A - Jacobian matrix
358 .  B - optional preconditioning matrix
359 -  flag - flag indicating matrix structure
360 
361    Notes:
362    Most users should not need to explicitly call this routine, as it
363    is used internally within the nonlinear solvers.
364 
365    See KSPSetOperators() for important information about setting the
366    flag parameter.
367 
368    Level: developer
369 
370 .keywords: SNES, compute, Jacobian, matrix
371 
372 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
373 @*/
374 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg)
375 {
376   PetscErrorCode ierr;
377   PetscObjectState Ustate;
378   DM             dm;
379   DMTS           tsdm;
380   TSRHSJacobian  rhsjacobianfunc;
381   void           *ctx;
382   TSIJacobian    ijacobianfunc;
383 
384   PetscFunctionBegin;
385   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
386   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
387   PetscCheckSameComm(ts,1,U,3);
388   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
389   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
390   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
391   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
392   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
393   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
394     *flg = ts->rhsjacobian.mstructure;
395     PetscFunctionReturn(0);
396   }
397 
398   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
399 
400   if (ts->rhsjacobian.reuse) {
401     ierr = MatShift(*A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
402     ierr = MatScale(*A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
403     if (*A != *B) {
404       ierr = MatShift(*B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
405       ierr = MatScale(*B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
406     }
407     ts->rhsjacobian.shift = 0;
408     ts->rhsjacobian.scale = 1.;
409   }
410 
411   if (rhsjacobianfunc) {
412     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
413     *flg = DIFFERENT_NONZERO_PATTERN;
414     PetscStackPush("TS user Jacobian function");
415     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,flg,ctx);CHKERRQ(ierr);
416     PetscStackPop;
417     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
418     /* make sure user returned a correct Jacobian and preconditioner */
419     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
420     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
421   } else {
422     ierr = MatZeroEntries(*A);CHKERRQ(ierr);
423     if (*A != *B) {ierr = MatZeroEntries(*B);CHKERRQ(ierr);}
424     *flg = SAME_NONZERO_PATTERN;
425   }
426   ts->rhsjacobian.time       = t;
427   ts->rhsjacobian.X          = U;
428   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
429   ts->rhsjacobian.mstructure = *flg;
430   PetscFunctionReturn(0);
431 }
432 
433 #undef __FUNCT__
434 #define __FUNCT__ "TSComputeRHSFunction"
435 /*@
436    TSComputeRHSFunction - Evaluates the right-hand-side function.
437 
438    Collective on TS and Vec
439 
440    Input Parameters:
441 +  ts - the TS context
442 .  t - current time
443 -  U - state vector
444 
445    Output Parameter:
446 .  y - right hand side
447 
448    Note:
449    Most users should not need to explicitly call this routine, as it
450    is used internally within the nonlinear solvers.
451 
452    Level: developer
453 
454 .keywords: TS, compute
455 
456 .seealso: TSSetRHSFunction(), TSComputeIFunction()
457 @*/
458 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
459 {
460   PetscErrorCode ierr;
461   TSRHSFunction  rhsfunction;
462   TSIFunction    ifunction;
463   void           *ctx;
464   DM             dm;
465 
466   PetscFunctionBegin;
467   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
468   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
469   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
470   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
471   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
472   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
473 
474   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
475 
476   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
477   if (rhsfunction) {
478     PetscStackPush("TS user right-hand-side function");
479     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
480     PetscStackPop;
481   } else {
482     ierr = VecZeroEntries(y);CHKERRQ(ierr);
483   }
484 
485   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
486   PetscFunctionReturn(0);
487 }
488 
489 #undef __FUNCT__
490 #define __FUNCT__ "TSComputeSolutionFunction"
491 /*@
492    TSComputeSolutionFunction - Evaluates the solution function.
493 
494    Collective on TS and Vec
495 
496    Input Parameters:
497 +  ts - the TS context
498 -  t - current time
499 
500    Output Parameter:
501 .  U - the solution
502 
503    Note:
504    Most users should not need to explicitly call this routine, as it
505    is used internally within the nonlinear solvers.
506 
507    Level: developer
508 
509 .keywords: TS, compute
510 
511 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
512 @*/
513 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
514 {
515   PetscErrorCode     ierr;
516   TSSolutionFunction solutionfunction;
517   void               *ctx;
518   DM                 dm;
519 
520   PetscFunctionBegin;
521   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
522   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
523   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
524   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
525 
526   if (solutionfunction) {
527     PetscStackPush("TS user solution function");
528     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
529     PetscStackPop;
530   }
531   PetscFunctionReturn(0);
532 }
533 #undef __FUNCT__
534 #define __FUNCT__ "TSComputeForcingFunction"
535 /*@
536    TSComputeForcingFunction - Evaluates the forcing function.
537 
538    Collective on TS and Vec
539 
540    Input Parameters:
541 +  ts - the TS context
542 -  t - current time
543 
544    Output Parameter:
545 .  U - the function value
546 
547    Note:
548    Most users should not need to explicitly call this routine, as it
549    is used internally within the nonlinear solvers.
550 
551    Level: developer
552 
553 .keywords: TS, compute
554 
555 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
556 @*/
557 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
558 {
559   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
560   void               *ctx;
561   DM                 dm;
562 
563   PetscFunctionBegin;
564   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
565   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
566   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
567   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
568 
569   if (forcing) {
570     PetscStackPush("TS user forcing function");
571     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
572     PetscStackPop;
573   }
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSGetRHSVec_Private"
579 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
580 {
581   Vec            F;
582   PetscErrorCode ierr;
583 
584   PetscFunctionBegin;
585   *Frhs = NULL;
586   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
587   if (!ts->Frhs) {
588     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
589   }
590   *Frhs = ts->Frhs;
591   PetscFunctionReturn(0);
592 }
593 
594 #undef __FUNCT__
595 #define __FUNCT__ "TSGetRHSMats_Private"
596 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
597 {
598   Mat            A,B;
599   PetscErrorCode ierr;
600 
601   PetscFunctionBegin;
602   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
603   if (Arhs) {
604     if (!ts->Arhs) {
605       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
606     }
607     *Arhs = ts->Arhs;
608   }
609   if (Brhs) {
610     if (!ts->Brhs) {
611       if (A != B) {
612         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
613       } else {
614         ts->Brhs = ts->Arhs;
615         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
616       }
617     }
618     *Brhs = ts->Brhs;
619   }
620   PetscFunctionReturn(0);
621 }
622 
623 #undef __FUNCT__
624 #define __FUNCT__ "TSComputeIFunction"
625 /*@
626    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
627 
628    Collective on TS and Vec
629 
630    Input Parameters:
631 +  ts - the TS context
632 .  t - current time
633 .  U - state vector
634 .  Udot - time derivative of state vector
635 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
636 
637    Output Parameter:
638 .  Y - right hand side
639 
640    Note:
641    Most users should not need to explicitly call this routine, as it
642    is used internally within the nonlinear solvers.
643 
644    If the user did did not write their equations in implicit form, this
645    function recasts them in implicit form.
646 
647    Level: developer
648 
649 .keywords: TS, compute
650 
651 .seealso: TSSetIFunction(), TSComputeRHSFunction()
652 @*/
653 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
654 {
655   PetscErrorCode ierr;
656   TSIFunction    ifunction;
657   TSRHSFunction  rhsfunction;
658   void           *ctx;
659   DM             dm;
660 
661   PetscFunctionBegin;
662   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
663   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
664   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
665   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
666 
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
669   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
670 
671   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
672 
673   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
674   if (ifunction) {
675     PetscStackPush("TS user implicit function");
676     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
677     PetscStackPop;
678   }
679   if (imex) {
680     if (!ifunction) {
681       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
682     }
683   } else if (rhsfunction) {
684     if (ifunction) {
685       Vec Frhs;
686       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
687       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
688       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
689     } else {
690       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
691       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
692     }
693   }
694   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
695   PetscFunctionReturn(0);
696 }
697 
698 #undef __FUNCT__
699 #define __FUNCT__ "TSComputeIJacobian"
700 /*@
701    TSComputeIJacobian - Evaluates the Jacobian of the DAE
702 
703    Collective on TS and Vec
704 
705    Input
706       Input Parameters:
707 +  ts - the TS context
708 .  t - current timestep
709 .  U - state vector
710 .  Udot - time derivative of state vector
711 .  shift - shift to apply, see note below
712 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
713 
714    Output Parameters:
715 +  A - Jacobian matrix
716 .  B - optional preconditioning matrix
717 -  flag - flag indicating matrix structure
718 
719    Notes:
720    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
721 
722    dF/dU + shift*dF/dUdot
723 
724    Most users should not need to explicitly call this routine, as it
725    is used internally within the nonlinear solvers.
726 
727    Level: developer
728 
729 .keywords: TS, compute, Jacobian, matrix
730 
731 .seealso:  TSSetIJacobian()
732 @*/
733 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,PetscBool imex)
734 {
735   PetscErrorCode ierr;
736   TSIJacobian    ijacobian;
737   TSRHSJacobian  rhsjacobian;
738   DM             dm;
739   void           *ctx;
740 
741   PetscFunctionBegin;
742   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
743   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
744   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
745   PetscValidPointer(A,6);
746   PetscValidHeaderSpecific(*A,MAT_CLASSID,6);
747   PetscValidPointer(B,7);
748   PetscValidHeaderSpecific(*B,MAT_CLASSID,7);
749   PetscValidPointer(flg,8);
750 
751   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
752   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
753   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
754 
755   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
756 
757   *flg = SAME_NONZERO_PATTERN;  /* In case we're solving a linear problem in which case it wouldn't get initialized below. */
758   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
759   if (ijacobian) {
760     *flg = DIFFERENT_NONZERO_PATTERN;
761     PetscStackPush("TS user implicit Jacobian");
762     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,flg,ctx);CHKERRQ(ierr);
763     PetscStackPop;
764     /* make sure user returned a correct Jacobian and preconditioner */
765     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
766     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
767   }
768   if (imex) {
769     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
770       ierr = MatZeroEntries(*A);CHKERRQ(ierr);
771       ierr = MatShift(*A,shift);CHKERRQ(ierr);
772       if (*A != *B) {
773         ierr = MatZeroEntries(*B);CHKERRQ(ierr);
774         ierr = MatShift(*B,shift);CHKERRQ(ierr);
775       }
776       *flg = SAME_PRECONDITIONER;
777     }
778   } else {
779     Mat Arhs = NULL,Brhs = NULL;
780     MatStructure flg2;
781     if (rhsjacobian) {
782       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
783       ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
784     }
785     if (Arhs == *A) {           /* No IJacobian, so we only have the RHS matrix */
786       ts->rhsjacobian.scale = -1;
787       ts->rhsjacobian.shift = shift;
788       ierr = MatScale(*A,-1);CHKERRQ(ierr);
789       ierr = MatShift(*A,shift);CHKERRQ(ierr);
790       if (*A != *B) {
791         ierr = MatScale(*B,-1);CHKERRQ(ierr);
792         ierr = MatShift(*B,shift);CHKERRQ(ierr);
793       }
794     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
795       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
796       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
797         ierr = MatZeroEntries(*A);CHKERRQ(ierr);
798         ierr = MatShift(*A,shift);CHKERRQ(ierr);
799         if (*A != *B) {
800           ierr = MatZeroEntries(*B);CHKERRQ(ierr);
801           ierr = MatShift(*B,shift);CHKERRQ(ierr);
802         }
803       }
804       ierr = MatAXPY(*A,-1,Arhs,axpy);CHKERRQ(ierr);
805       if (*A != *B) {
806         ierr = MatAXPY(*B,-1,Brhs,axpy);CHKERRQ(ierr);
807       }
808       *flg = PetscMin(*flg,flg2);
809     }
810   }
811 
812   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
813   PetscFunctionReturn(0);
814 }
815 
816 #undef __FUNCT__
817 #define __FUNCT__ "TSSetRHSFunction"
818 /*@C
819     TSSetRHSFunction - Sets the routine for evaluating the function,
820     where U_t = G(t,u).
821 
822     Logically Collective on TS
823 
824     Input Parameters:
825 +   ts - the TS context obtained from TSCreate()
826 .   r - vector to put the computed right hand side (or NULL to have it created)
827 .   f - routine for evaluating the right-hand-side function
828 -   ctx - [optional] user-defined context for private data for the
829           function evaluation routine (may be NULL)
830 
831     Calling sequence of func:
832 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
833 
834 +   t - current timestep
835 .   u - input vector
836 .   F - function vector
837 -   ctx - [optional] user-defined function context
838 
839     Level: beginner
840 
841 .keywords: TS, timestep, set, right-hand-side, function
842 
843 .seealso: TSSetRHSJacobian(), TSSetIJacobian()
844 @*/
845 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
846 {
847   PetscErrorCode ierr;
848   SNES           snes;
849   Vec            ralloc = NULL;
850   DM             dm;
851 
852   PetscFunctionBegin;
853   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
854   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
855 
856   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
857   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
858   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
859   if (!r && !ts->dm && ts->vec_sol) {
860     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
861     r    = ralloc;
862   }
863   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
864   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
865   PetscFunctionReturn(0);
866 }
867 
868 #undef __FUNCT__
869 #define __FUNCT__ "TSSetSolutionFunction"
870 /*@C
871     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
872 
873     Logically Collective on TS
874 
875     Input Parameters:
876 +   ts - the TS context obtained from TSCreate()
877 .   f - routine for evaluating the solution
878 -   ctx - [optional] user-defined context for private data for the
879           function evaluation routine (may be NULL)
880 
881     Calling sequence of func:
882 $     func (TS ts,PetscReal t,Vec u,void *ctx);
883 
884 +   t - current timestep
885 .   u - output vector
886 -   ctx - [optional] user-defined function context
887 
888     Notes:
889     This routine is used for testing accuracy of time integration schemes when you already know the solution.
890     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
891     create closed-form solutions with non-physical forcing terms.
892 
893     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
894 
895     Level: beginner
896 
897 .keywords: TS, timestep, set, right-hand-side, function
898 
899 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
900 @*/
901 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
902 {
903   PetscErrorCode ierr;
904   DM             dm;
905 
906   PetscFunctionBegin;
907   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
908   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
909   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
910   PetscFunctionReturn(0);
911 }
912 
913 #undef __FUNCT__
914 #define __FUNCT__ "TSSetForcingFunction"
915 /*@C
916     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
917 
918     Logically Collective on TS
919 
920     Input Parameters:
921 +   ts - the TS context obtained from TSCreate()
922 .   f - routine for evaluating the forcing function
923 -   ctx - [optional] user-defined context for private data for the
924           function evaluation routine (may be NULL)
925 
926     Calling sequence of func:
927 $     func (TS ts,PetscReal t,Vec u,void *ctx);
928 
929 +   t - current timestep
930 .   u - output vector
931 -   ctx - [optional] user-defined function context
932 
933     Notes:
934     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
935     create closed-form solutions with a non-physical forcing term.
936 
937     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
938 
939     Level: beginner
940 
941 .keywords: TS, timestep, set, right-hand-side, function
942 
943 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
944 @*/
945 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
946 {
947   PetscErrorCode ierr;
948   DM             dm;
949 
950   PetscFunctionBegin;
951   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
952   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
953   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
954   PetscFunctionReturn(0);
955 }
956 
957 #undef __FUNCT__
958 #define __FUNCT__ "TSSetRHSJacobian"
959 /*@C
960    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
961    where U_t = G(U,t), as well as the location to store the matrix.
962 
963    Logically Collective on TS
964 
965    Input Parameters:
966 +  ts  - the TS context obtained from TSCreate()
967 .  Amat - (approximate) Jacobian matrix
968 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
969 .  f   - the Jacobian evaluation routine
970 -  ctx - [optional] user-defined context for private data for the
971          Jacobian evaluation routine (may be NULL)
972 
973    Calling sequence of func:
974 $     func (TS ts,PetscReal t,Vec u,Mat *A,Mat *B,MatStructure *flag,void *ctx);
975 
976 +  t - current timestep
977 .  u - input vector
978 .  Amat - (approximate) Jacobian matrix
979 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
980 .  flag - flag indicating information about the preconditioner matrix
981           structure (same as flag in KSPSetOperators())
982 -  ctx - [optional] user-defined context for matrix evaluation routine
983 
984    Notes:
985    See KSPSetOperators() for important information about setting the flag
986    output parameter in the routine func().  Be sure to read this information!
987 
988    The routine func() takes Mat * as the matrix arguments rather than Mat.
989    This allows the matrix evaluation routine to replace A and/or B with a
990    completely new matrix structure (not just different matrix elements)
991    when appropriate, for instance, if the nonzero structure is changing
992    throughout the global iterations.
993 
994    Level: beginner
995 
996 .keywords: TS, timestep, set, right-hand-side, Jacobian
997 
998 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse()
999 
1000 @*/
1001 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1002 {
1003   PetscErrorCode ierr;
1004   SNES           snes;
1005   DM             dm;
1006   TSIJacobian    ijacobian;
1007 
1008   PetscFunctionBegin;
1009   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1010   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1011   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1012   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1013   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1014 
1015   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1016   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1017   if (f == TSComputeRHSJacobianConstant) {
1018     /* Handle this case automatically for the user; otherwise user should call themselves. */
1019     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1020   }
1021   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1022   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1023   if (!ijacobian) {
1024     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1025   }
1026   if (Amat) {
1027     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1028     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1029 
1030     ts->Arhs = Amat;
1031   }
1032   if (Pmat) {
1033     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1034     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1035 
1036     ts->Brhs = Pmat;
1037   }
1038   PetscFunctionReturn(0);
1039 }
1040 
1041 
1042 #undef __FUNCT__
1043 #define __FUNCT__ "TSSetIFunction"
1044 /*@C
1045    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1046 
1047    Logically Collective on TS
1048 
1049    Input Parameters:
1050 +  ts  - the TS context obtained from TSCreate()
1051 .  r   - vector to hold the residual (or NULL to have it created internally)
1052 .  f   - the function evaluation routine
1053 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1054 
1055    Calling sequence of f:
1056 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1057 
1058 +  t   - time at step/stage being solved
1059 .  u   - state vector
1060 .  u_t - time derivative of state vector
1061 .  F   - function vector
1062 -  ctx - [optional] user-defined context for matrix evaluation routine
1063 
1064    Important:
1065    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1066 
1067    Level: beginner
1068 
1069 .keywords: TS, timestep, set, DAE, Jacobian
1070 
1071 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1072 @*/
1073 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1074 {
1075   PetscErrorCode ierr;
1076   SNES           snes;
1077   Vec            resalloc = NULL;
1078   DM             dm;
1079 
1080   PetscFunctionBegin;
1081   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1082   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1083 
1084   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1085   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1086 
1087   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1088   if (!res && !ts->dm && ts->vec_sol) {
1089     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1090     res  = resalloc;
1091   }
1092   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1093   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1094   PetscFunctionReturn(0);
1095 }
1096 
1097 #undef __FUNCT__
1098 #define __FUNCT__ "TSGetIFunction"
1099 /*@C
1100    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1101 
1102    Not Collective
1103 
1104    Input Parameter:
1105 .  ts - the TS context
1106 
1107    Output Parameter:
1108 +  r - vector to hold residual (or NULL)
1109 .  func - the function to compute residual (or NULL)
1110 -  ctx - the function context (or NULL)
1111 
1112    Level: advanced
1113 
1114 .keywords: TS, nonlinear, get, function
1115 
1116 .seealso: TSSetIFunction(), SNESGetFunction()
1117 @*/
1118 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1119 {
1120   PetscErrorCode ierr;
1121   SNES           snes;
1122   DM             dm;
1123 
1124   PetscFunctionBegin;
1125   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1126   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1127   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1128   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1129   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1130   PetscFunctionReturn(0);
1131 }
1132 
1133 #undef __FUNCT__
1134 #define __FUNCT__ "TSGetRHSFunction"
1135 /*@C
1136    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1137 
1138    Not Collective
1139 
1140    Input Parameter:
1141 .  ts - the TS context
1142 
1143    Output Parameter:
1144 +  r - vector to hold computed right hand side (or NULL)
1145 .  func - the function to compute right hand side (or NULL)
1146 -  ctx - the function context (or NULL)
1147 
1148    Level: advanced
1149 
1150 .keywords: TS, nonlinear, get, function
1151 
1152 .seealso: TSSetRhsfunction(), SNESGetFunction()
1153 @*/
1154 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1155 {
1156   PetscErrorCode ierr;
1157   SNES           snes;
1158   DM             dm;
1159 
1160   PetscFunctionBegin;
1161   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1162   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1163   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1164   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1165   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1166   PetscFunctionReturn(0);
1167 }
1168 
1169 #undef __FUNCT__
1170 #define __FUNCT__ "TSSetIJacobian"
1171 /*@C
1172    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1173         you provided with TSSetIFunction().
1174 
1175    Logically Collective on TS
1176 
1177    Input Parameters:
1178 +  ts  - the TS context obtained from TSCreate()
1179 .  Amat - (approximate) Jacobian matrix
1180 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1181 .  f   - the Jacobian evaluation routine
1182 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1183 
1184    Calling sequence of f:
1185 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat *Amat,Mat *Pmat,MatStructure *flag,void *ctx);
1186 
1187 +  t    - time at step/stage being solved
1188 .  U    - state vector
1189 .  U_t  - time derivative of state vector
1190 .  a    - shift
1191 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1192 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1193 .  flag - flag indicating information about the preconditioner matrix
1194           structure (same as flag in KSPSetOperators())
1195 -  ctx  - [optional] user-defined context for matrix evaluation routine
1196 
1197    Notes:
1198    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1199 
1200    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1201    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1202    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1203    a and vector W depend on the integration method, step size, and past states. For example with
1204    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1205    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1206 
1207    Level: beginner
1208 
1209 .keywords: TS, timestep, DAE, Jacobian
1210 
1211 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault()
1212 
1213 @*/
1214 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1215 {
1216   PetscErrorCode ierr;
1217   SNES           snes;
1218   DM             dm;
1219 
1220   PetscFunctionBegin;
1221   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1222   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1223   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1224   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1225   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1226 
1227   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1228   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1229 
1230   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1231   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "TSRHSJacobianSetReuse"
1237 /*@
1238    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1239    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1240    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1241    not been changed by the TS.
1242 
1243    Logically Collective
1244 
1245    Input Arguments:
1246 +  ts - TS context obtained from TSCreate()
1247 -  reuse - PETSC_TRUE if the RHS Jacobian
1248 
1249    Level: intermediate
1250 
1251 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1252 @*/
1253 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1254 {
1255   PetscFunctionBegin;
1256   ts->rhsjacobian.reuse = reuse;
1257   PetscFunctionReturn(0);
1258 }
1259 
1260 #undef __FUNCT__
1261 #define __FUNCT__ "TSLoad"
1262 /*@C
1263   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1264 
1265   Collective on PetscViewer
1266 
1267   Input Parameters:
1268 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1269            some related function before a call to TSLoad().
1270 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1271 
1272    Level: intermediate
1273 
1274   Notes:
1275    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1276 
1277   Notes for advanced users:
1278   Most users should not need to know the details of the binary storage
1279   format, since TSLoad() and TSView() completely hide these details.
1280   But for anyone who's interested, the standard binary matrix storage
1281   format is
1282 .vb
1283      has not yet been determined
1284 .ve
1285 
1286 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1287 @*/
1288 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1289 {
1290   PetscErrorCode ierr;
1291   PetscBool      isbinary;
1292   PetscInt       classid;
1293   char           type[256];
1294   DMTS           sdm;
1295   DM             dm;
1296 
1297   PetscFunctionBegin;
1298   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1299   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1300   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1301   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1302 
1303   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1304   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1305   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1306   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1307   if (ts->ops->load) {
1308     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1309   }
1310   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1311   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1312   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1313   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1314   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1315   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1316   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1317   PetscFunctionReturn(0);
1318 }
1319 
1320 #include <petscdraw.h>
1321 #if defined(PETSC_HAVE_SAWS)
1322 #include <petscviewersaws.h>
1323 #endif
1324 #undef __FUNCT__
1325 #define __FUNCT__ "TSView"
1326 /*@C
1327     TSView - Prints the TS data structure.
1328 
1329     Collective on TS
1330 
1331     Input Parameters:
1332 +   ts - the TS context obtained from TSCreate()
1333 -   viewer - visualization context
1334 
1335     Options Database Key:
1336 .   -ts_view - calls TSView() at end of TSStep()
1337 
1338     Notes:
1339     The available visualization contexts include
1340 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1341 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1342          output where only the first processor opens
1343          the file.  All other processors send their
1344          data to the first processor to print.
1345 
1346     The user can open an alternative visualization context with
1347     PetscViewerASCIIOpen() - output to a specified file.
1348 
1349     Level: beginner
1350 
1351 .keywords: TS, timestep, view
1352 
1353 .seealso: PetscViewerASCIIOpen()
1354 @*/
1355 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1356 {
1357   PetscErrorCode ierr;
1358   TSType         type;
1359   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1360   DMTS           sdm;
1361 #if defined(PETSC_HAVE_SAWS)
1362   PetscBool      isams;
1363 #endif
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (!viewer) {
1368     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1369   }
1370   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1371   PetscCheckSameComm(ts,1,viewer,2);
1372 
1373   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1374   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1375   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1376   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1377 #if defined(PETSC_HAVE_SAWS)
1378   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&isams);CHKERRQ(ierr);
1379 #endif
1380   if (iascii) {
1381     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1382     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1383     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1384     if (ts->problem_type == TS_NONLINEAR) {
1385       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1386       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1387     }
1388     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1389     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1390     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1391     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1392     if (ts->ops->view) {
1393       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1394       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1395       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1396     }
1397   } else if (isstring) {
1398     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1399     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1400   } else if (isbinary) {
1401     PetscInt    classid = TS_FILE_CLASSID;
1402     MPI_Comm    comm;
1403     PetscMPIInt rank;
1404     char        type[256];
1405 
1406     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1407     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1408     if (!rank) {
1409       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1410       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1411       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1412     }
1413     if (ts->ops->view) {
1414       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1415     }
1416     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1417     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1418     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1419     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1420   } else if (isdraw) {
1421     PetscDraw draw;
1422     char      str[36];
1423     PetscReal x,y,bottom,h;
1424 
1425     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1426     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1427     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1428     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1429     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1430     bottom = y - h;
1431     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1432     if (ts->ops->view) {
1433       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1434     }
1435     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1436 #if defined(PETSC_HAVE_SAWS)
1437   } else if (isams) {
1438     PetscMPIInt rank;
1439     const char  *name;
1440 
1441     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1442     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1443     if (!((PetscObject)ts)->amsmem && !rank) {
1444       char       dir[1024];
1445 
1446       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1447       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1448       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1449       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1450       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1451     }
1452     if (ts->ops->view) {
1453       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1454     }
1455 #endif
1456   }
1457 
1458   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1459   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1460   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1461   PetscFunctionReturn(0);
1462 }
1463 
1464 
1465 #undef __FUNCT__
1466 #define __FUNCT__ "TSSetApplicationContext"
1467 /*@
1468    TSSetApplicationContext - Sets an optional user-defined context for
1469    the timesteppers.
1470 
1471    Logically Collective on TS
1472 
1473    Input Parameters:
1474 +  ts - the TS context obtained from TSCreate()
1475 -  usrP - optional user context
1476 
1477    Level: intermediate
1478 
1479 .keywords: TS, timestep, set, application, context
1480 
1481 .seealso: TSGetApplicationContext()
1482 @*/
1483 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1484 {
1485   PetscFunctionBegin;
1486   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1487   ts->user = usrP;
1488   PetscFunctionReturn(0);
1489 }
1490 
1491 #undef __FUNCT__
1492 #define __FUNCT__ "TSGetApplicationContext"
1493 /*@
1494     TSGetApplicationContext - Gets the user-defined context for the
1495     timestepper.
1496 
1497     Not Collective
1498 
1499     Input Parameter:
1500 .   ts - the TS context obtained from TSCreate()
1501 
1502     Output Parameter:
1503 .   usrP - user context
1504 
1505     Level: intermediate
1506 
1507 .keywords: TS, timestep, get, application, context
1508 
1509 .seealso: TSSetApplicationContext()
1510 @*/
1511 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1512 {
1513   PetscFunctionBegin;
1514   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1515   *(void**)usrP = ts->user;
1516   PetscFunctionReturn(0);
1517 }
1518 
1519 #undef __FUNCT__
1520 #define __FUNCT__ "TSGetTimeStepNumber"
1521 /*@
1522    TSGetTimeStepNumber - Gets the number of time steps completed.
1523 
1524    Not Collective
1525 
1526    Input Parameter:
1527 .  ts - the TS context obtained from TSCreate()
1528 
1529    Output Parameter:
1530 .  iter - number of steps completed so far
1531 
1532    Level: intermediate
1533 
1534 .keywords: TS, timestep, get, iteration, number
1535 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1536 @*/
1537 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1538 {
1539   PetscFunctionBegin;
1540   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1541   PetscValidIntPointer(iter,2);
1542   *iter = ts->steps;
1543   PetscFunctionReturn(0);
1544 }
1545 
1546 #undef __FUNCT__
1547 #define __FUNCT__ "TSSetInitialTimeStep"
1548 /*@
1549    TSSetInitialTimeStep - Sets the initial timestep to be used,
1550    as well as the initial time.
1551 
1552    Logically Collective on TS
1553 
1554    Input Parameters:
1555 +  ts - the TS context obtained from TSCreate()
1556 .  initial_time - the initial time
1557 -  time_step - the size of the timestep
1558 
1559    Level: intermediate
1560 
1561 .seealso: TSSetTimeStep(), TSGetTimeStep()
1562 
1563 .keywords: TS, set, initial, timestep
1564 @*/
1565 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1566 {
1567   PetscErrorCode ierr;
1568 
1569   PetscFunctionBegin;
1570   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1571   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1572   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1573   PetscFunctionReturn(0);
1574 }
1575 
1576 #undef __FUNCT__
1577 #define __FUNCT__ "TSSetTimeStep"
1578 /*@
1579    TSSetTimeStep - Allows one to reset the timestep at any time,
1580    useful for simple pseudo-timestepping codes.
1581 
1582    Logically Collective on TS
1583 
1584    Input Parameters:
1585 +  ts - the TS context obtained from TSCreate()
1586 -  time_step - the size of the timestep
1587 
1588    Level: intermediate
1589 
1590 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1591 
1592 .keywords: TS, set, timestep
1593 @*/
1594 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1595 {
1596   PetscFunctionBegin;
1597   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1598   PetscValidLogicalCollectiveReal(ts,time_step,2);
1599   ts->time_step      = time_step;
1600   ts->time_step_orig = time_step;
1601   PetscFunctionReturn(0);
1602 }
1603 
1604 #undef __FUNCT__
1605 #define __FUNCT__ "TSSetExactFinalTime"
1606 /*@
1607    TSSetExactFinalTime - Determines whether to adapt the final time step to
1608      match the exact final time, interpolate solution to the exact final time,
1609      or just return at the final time TS computed.
1610 
1611   Logically Collective on TS
1612 
1613    Input Parameter:
1614 +   ts - the time-step context
1615 -   eftopt - exact final time option
1616 
1617    Level: beginner
1618 
1619 .seealso: TSExactFinalTimeOption
1620 @*/
1621 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1622 {
1623   PetscFunctionBegin;
1624   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1625   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1626   ts->exact_final_time = eftopt;
1627   PetscFunctionReturn(0);
1628 }
1629 
1630 #undef __FUNCT__
1631 #define __FUNCT__ "TSGetTimeStep"
1632 /*@
1633    TSGetTimeStep - Gets the current timestep size.
1634 
1635    Not Collective
1636 
1637    Input Parameter:
1638 .  ts - the TS context obtained from TSCreate()
1639 
1640    Output Parameter:
1641 .  dt - the current timestep size
1642 
1643    Level: intermediate
1644 
1645 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1646 
1647 .keywords: TS, get, timestep
1648 @*/
1649 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1650 {
1651   PetscFunctionBegin;
1652   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1653   PetscValidRealPointer(dt,2);
1654   *dt = ts->time_step;
1655   PetscFunctionReturn(0);
1656 }
1657 
1658 #undef __FUNCT__
1659 #define __FUNCT__ "TSGetSolution"
1660 /*@
1661    TSGetSolution - Returns the solution at the present timestep. It
1662    is valid to call this routine inside the function that you are evaluating
1663    in order to move to the new timestep. This vector not changed until
1664    the solution at the next timestep has been calculated.
1665 
1666    Not Collective, but Vec returned is parallel if TS is parallel
1667 
1668    Input Parameter:
1669 .  ts - the TS context obtained from TSCreate()
1670 
1671    Output Parameter:
1672 .  v - the vector containing the solution
1673 
1674    Level: intermediate
1675 
1676 .seealso: TSGetTimeStep()
1677 
1678 .keywords: TS, timestep, get, solution
1679 @*/
1680 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1681 {
1682   PetscFunctionBegin;
1683   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1684   PetscValidPointer(v,2);
1685   *v = ts->vec_sol;
1686   PetscFunctionReturn(0);
1687 }
1688 
1689 /* ----- Routines to initialize and destroy a timestepper ---- */
1690 #undef __FUNCT__
1691 #define __FUNCT__ "TSSetProblemType"
1692 /*@
1693   TSSetProblemType - Sets the type of problem to be solved.
1694 
1695   Not collective
1696 
1697   Input Parameters:
1698 + ts   - The TS
1699 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1700 .vb
1701          U_t - A U = 0      (linear)
1702          U_t - A(t) U = 0   (linear)
1703          F(t,U,U_t) = 0     (nonlinear)
1704 .ve
1705 
1706    Level: beginner
1707 
1708 .keywords: TS, problem type
1709 .seealso: TSSetUp(), TSProblemType, TS
1710 @*/
1711 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1712 {
1713   PetscErrorCode ierr;
1714 
1715   PetscFunctionBegin;
1716   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1717   ts->problem_type = type;
1718   if (type == TS_LINEAR) {
1719     SNES snes;
1720     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1721     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1722   }
1723   PetscFunctionReturn(0);
1724 }
1725 
1726 #undef __FUNCT__
1727 #define __FUNCT__ "TSGetProblemType"
1728 /*@C
1729   TSGetProblemType - Gets the type of problem to be solved.
1730 
1731   Not collective
1732 
1733   Input Parameter:
1734 . ts   - The TS
1735 
1736   Output Parameter:
1737 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1738 .vb
1739          M U_t = A U
1740          M(t) U_t = A(t) U
1741          F(t,U,U_t)
1742 .ve
1743 
1744    Level: beginner
1745 
1746 .keywords: TS, problem type
1747 .seealso: TSSetUp(), TSProblemType, TS
1748 @*/
1749 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1750 {
1751   PetscFunctionBegin;
1752   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1753   PetscValidIntPointer(type,2);
1754   *type = ts->problem_type;
1755   PetscFunctionReturn(0);
1756 }
1757 
1758 #undef __FUNCT__
1759 #define __FUNCT__ "TSSetUp"
1760 /*@
1761    TSSetUp - Sets up the internal data structures for the later use
1762    of a timestepper.
1763 
1764    Collective on TS
1765 
1766    Input Parameter:
1767 .  ts - the TS context obtained from TSCreate()
1768 
1769    Notes:
1770    For basic use of the TS solvers the user need not explicitly call
1771    TSSetUp(), since these actions will automatically occur during
1772    the call to TSStep().  However, if one wishes to control this
1773    phase separately, TSSetUp() should be called after TSCreate()
1774    and optional routines of the form TSSetXXX(), but before TSStep().
1775 
1776    Level: advanced
1777 
1778 .keywords: TS, timestep, setup
1779 
1780 .seealso: TSCreate(), TSStep(), TSDestroy()
1781 @*/
1782 PetscErrorCode  TSSetUp(TS ts)
1783 {
1784   PetscErrorCode ierr;
1785   DM             dm;
1786   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1787   PetscErrorCode (*jac)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1788   TSIJacobian    ijac;
1789   TSRHSJacobian  rhsjac;
1790 
1791   PetscFunctionBegin;
1792   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1793   if (ts->setupcalled) PetscFunctionReturn(0);
1794 
1795   if (!((PetscObject)ts)->type_name) {
1796     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1797   }
1798 
1799   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1800 
1801   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1802 
1803   if (ts->rhsjacobian.reuse) {
1804     Mat Amat,Pmat;
1805     SNES snes;
1806     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1807     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1808     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1809      * have displaced the RHS matrix */
1810     if (Amat == ts->Arhs) {
1811       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1812       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1813       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1814     }
1815     if (Pmat == ts->Brhs) {
1816       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1817       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1818       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1819     }
1820   }
1821 
1822   if (ts->ops->setup) {
1823     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1824   }
1825 
1826   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1827    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1828    */
1829   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1830   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1831   if (!func) {
1832     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1833   }
1834   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1835      Otherwise, the SNES will use coloring internally to form the Jacobian.
1836    */
1837   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1838   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1839   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1840   if (!jac && (ijac || rhsjac)) {
1841     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1842   }
1843   ts->setupcalled = PETSC_TRUE;
1844   PetscFunctionReturn(0);
1845 }
1846 
1847 #undef __FUNCT__
1848 #define __FUNCT__ "TSReset"
1849 /*@
1850    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1851 
1852    Collective on TS
1853 
1854    Input Parameter:
1855 .  ts - the TS context obtained from TSCreate()
1856 
1857    Level: beginner
1858 
1859 .keywords: TS, timestep, reset
1860 
1861 .seealso: TSCreate(), TSSetup(), TSDestroy()
1862 @*/
1863 PetscErrorCode  TSReset(TS ts)
1864 {
1865   PetscErrorCode ierr;
1866 
1867   PetscFunctionBegin;
1868   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1869   if (ts->ops->reset) {
1870     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1871   }
1872   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1873 
1874   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1875   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1876   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1877   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1878   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1879   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1880   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1881 
1882   ts->setupcalled = PETSC_FALSE;
1883   PetscFunctionReturn(0);
1884 }
1885 
1886 #undef __FUNCT__
1887 #define __FUNCT__ "TSDestroy"
1888 /*@
1889    TSDestroy - Destroys the timestepper context that was created
1890    with TSCreate().
1891 
1892    Collective on TS
1893 
1894    Input Parameter:
1895 .  ts - the TS context obtained from TSCreate()
1896 
1897    Level: beginner
1898 
1899 .keywords: TS, timestepper, destroy
1900 
1901 .seealso: TSCreate(), TSSetUp(), TSSolve()
1902 @*/
1903 PetscErrorCode  TSDestroy(TS *ts)
1904 {
1905   PetscErrorCode ierr;
1906 
1907   PetscFunctionBegin;
1908   if (!*ts) PetscFunctionReturn(0);
1909   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1910   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1911 
1912   ierr = TSReset((*ts));CHKERRQ(ierr);
1913 
1914   /* if memory was published with SAWs then destroy it */
1915   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
1916   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1917 
1918   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
1919   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
1920   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
1921   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
1922 
1923   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
1924   PetscFunctionReturn(0);
1925 }
1926 
1927 #undef __FUNCT__
1928 #define __FUNCT__ "TSGetSNES"
1929 /*@
1930    TSGetSNES - Returns the SNES (nonlinear solver) associated with
1931    a TS (timestepper) context. Valid only for nonlinear problems.
1932 
1933    Not Collective, but SNES is parallel if TS is parallel
1934 
1935    Input Parameter:
1936 .  ts - the TS context obtained from TSCreate()
1937 
1938    Output Parameter:
1939 .  snes - the nonlinear solver context
1940 
1941    Notes:
1942    The user can then directly manipulate the SNES context to set various
1943    options, etc.  Likewise, the user can then extract and manipulate the
1944    KSP, KSP, and PC contexts as well.
1945 
1946    TSGetSNES() does not work for integrators that do not use SNES; in
1947    this case TSGetSNES() returns NULL in snes.
1948 
1949    Level: beginner
1950 
1951 .keywords: timestep, get, SNES
1952 @*/
1953 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
1954 {
1955   PetscErrorCode ierr;
1956 
1957   PetscFunctionBegin;
1958   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1959   PetscValidPointer(snes,2);
1960   if (!ts->snes) {
1961     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
1962     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
1963     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
1964     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
1965     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
1966     if (ts->problem_type == TS_LINEAR) {
1967       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
1968     }
1969   }
1970   *snes = ts->snes;
1971   PetscFunctionReturn(0);
1972 }
1973 
1974 #undef __FUNCT__
1975 #define __FUNCT__ "TSSetSNES"
1976 /*@
1977    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
1978 
1979    Collective
1980 
1981    Input Parameter:
1982 +  ts - the TS context obtained from TSCreate()
1983 -  snes - the nonlinear solver context
1984 
1985    Notes:
1986    Most users should have the TS created by calling TSGetSNES()
1987 
1988    Level: developer
1989 
1990 .keywords: timestep, set, SNES
1991 @*/
1992 PetscErrorCode TSSetSNES(TS ts,SNES snes)
1993 {
1994   PetscErrorCode ierr;
1995   PetscErrorCode (*func)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1996 
1997   PetscFunctionBegin;
1998   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1999   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2000   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2001   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2002 
2003   ts->snes = snes;
2004 
2005   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2006   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2007   if (func == SNESTSFormJacobian) {
2008     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2009   }
2010   PetscFunctionReturn(0);
2011 }
2012 
2013 #undef __FUNCT__
2014 #define __FUNCT__ "TSGetKSP"
2015 /*@
2016    TSGetKSP - Returns the KSP (linear solver) associated with
2017    a TS (timestepper) context.
2018 
2019    Not Collective, but KSP is parallel if TS is parallel
2020 
2021    Input Parameter:
2022 .  ts - the TS context obtained from TSCreate()
2023 
2024    Output Parameter:
2025 .  ksp - the nonlinear solver context
2026 
2027    Notes:
2028    The user can then directly manipulate the KSP context to set various
2029    options, etc.  Likewise, the user can then extract and manipulate the
2030    KSP and PC contexts as well.
2031 
2032    TSGetKSP() does not work for integrators that do not use KSP;
2033    in this case TSGetKSP() returns NULL in ksp.
2034 
2035    Level: beginner
2036 
2037 .keywords: timestep, get, KSP
2038 @*/
2039 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2040 {
2041   PetscErrorCode ierr;
2042   SNES           snes;
2043 
2044   PetscFunctionBegin;
2045   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2046   PetscValidPointer(ksp,2);
2047   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2048   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2049   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2050   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2051   PetscFunctionReturn(0);
2052 }
2053 
2054 /* ----------- Routines to set solver parameters ---------- */
2055 
2056 #undef __FUNCT__
2057 #define __FUNCT__ "TSGetDuration"
2058 /*@
2059    TSGetDuration - Gets the maximum number of timesteps to use and
2060    maximum time for iteration.
2061 
2062    Not Collective
2063 
2064    Input Parameters:
2065 +  ts       - the TS context obtained from TSCreate()
2066 .  maxsteps - maximum number of iterations to use, or NULL
2067 -  maxtime  - final time to iterate to, or NULL
2068 
2069    Level: intermediate
2070 
2071 .keywords: TS, timestep, get, maximum, iterations, time
2072 @*/
2073 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2074 {
2075   PetscFunctionBegin;
2076   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2077   if (maxsteps) {
2078     PetscValidIntPointer(maxsteps,2);
2079     *maxsteps = ts->max_steps;
2080   }
2081   if (maxtime) {
2082     PetscValidScalarPointer(maxtime,3);
2083     *maxtime = ts->max_time;
2084   }
2085   PetscFunctionReturn(0);
2086 }
2087 
2088 #undef __FUNCT__
2089 #define __FUNCT__ "TSSetDuration"
2090 /*@
2091    TSSetDuration - Sets the maximum number of timesteps to use and
2092    maximum time for iteration.
2093 
2094    Logically Collective on TS
2095 
2096    Input Parameters:
2097 +  ts - the TS context obtained from TSCreate()
2098 .  maxsteps - maximum number of iterations to use
2099 -  maxtime - final time to iterate to
2100 
2101    Options Database Keys:
2102 .  -ts_max_steps <maxsteps> - Sets maxsteps
2103 .  -ts_final_time <maxtime> - Sets maxtime
2104 
2105    Notes:
2106    The default maximum number of iterations is 5000. Default time is 5.0
2107 
2108    Level: intermediate
2109 
2110 .keywords: TS, timestep, set, maximum, iterations
2111 
2112 .seealso: TSSetExactFinalTime()
2113 @*/
2114 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2115 {
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2119   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2120   if (maxsteps >= 0) ts->max_steps = maxsteps;
2121   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2122   PetscFunctionReturn(0);
2123 }
2124 
2125 #undef __FUNCT__
2126 #define __FUNCT__ "TSSetSolution"
2127 /*@
2128    TSSetSolution - Sets the initial solution vector
2129    for use by the TS routines.
2130 
2131    Logically Collective on TS and Vec
2132 
2133    Input Parameters:
2134 +  ts - the TS context obtained from TSCreate()
2135 -  u - the solution vector
2136 
2137    Level: beginner
2138 
2139 .keywords: TS, timestep, set, solution, initial conditions
2140 @*/
2141 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2142 {
2143   PetscErrorCode ierr;
2144   DM             dm;
2145 
2146   PetscFunctionBegin;
2147   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2148   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2149   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2150   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2151 
2152   ts->vec_sol = u;
2153 
2154   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2155   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2156   PetscFunctionReturn(0);
2157 }
2158 
2159 #undef __FUNCT__
2160 #define __FUNCT__ "TSSetPreStep"
2161 /*@C
2162   TSSetPreStep - Sets the general-purpose function
2163   called once at the beginning of each time step.
2164 
2165   Logically Collective on TS
2166 
2167   Input Parameters:
2168 + ts   - The TS context obtained from TSCreate()
2169 - func - The function
2170 
2171   Calling sequence of func:
2172 . func (TS ts);
2173 
2174   Level: intermediate
2175 
2176   Note:
2177   If a step is rejected, TSStep() will call this routine again before each attempt.
2178   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2179   size of the step being attempted can be obtained using TSGetTimeStep().
2180 
2181 .keywords: TS, timestep
2182 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2183 @*/
2184 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2185 {
2186   PetscFunctionBegin;
2187   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2188   ts->prestep = func;
2189   PetscFunctionReturn(0);
2190 }
2191 
2192 #undef __FUNCT__
2193 #define __FUNCT__ "TSPreStep"
2194 /*@
2195   TSPreStep - Runs the user-defined pre-step function.
2196 
2197   Collective on TS
2198 
2199   Input Parameters:
2200 . ts   - The TS context obtained from TSCreate()
2201 
2202   Notes:
2203   TSPreStep() is typically used within time stepping implementations,
2204   so most users would not generally call this routine themselves.
2205 
2206   Level: developer
2207 
2208 .keywords: TS, timestep
2209 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2210 @*/
2211 PetscErrorCode  TSPreStep(TS ts)
2212 {
2213   PetscErrorCode ierr;
2214 
2215   PetscFunctionBegin;
2216   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2217   if (ts->prestep) {
2218     PetscStackCallStandard((*ts->prestep),(ts));
2219   }
2220   PetscFunctionReturn(0);
2221 }
2222 
2223 #undef __FUNCT__
2224 #define __FUNCT__ "TSSetPreStage"
2225 /*@C
2226   TSSetPreStage - Sets the general-purpose function
2227   called once at the beginning of each stage.
2228 
2229   Logically Collective on TS
2230 
2231   Input Parameters:
2232 + ts   - The TS context obtained from TSCreate()
2233 - func - The function
2234 
2235   Calling sequence of func:
2236 . PetscErrorCode func(TS ts, PetscReal stagetime);
2237 
2238   Level: intermediate
2239 
2240   Note:
2241   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2242   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2243   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2244 
2245 .keywords: TS, timestep
2246 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2247 @*/
2248 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2249 {
2250   PetscFunctionBegin;
2251   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2252   ts->prestage = func;
2253   PetscFunctionReturn(0);
2254 }
2255 
2256 #undef __FUNCT__
2257 #define __FUNCT__ "TSSetPostStage"
2258 /*@C
2259   TSSetPostStage - Sets the general-purpose function
2260   called once at the end of each stage.
2261 
2262   Logically Collective on TS
2263 
2264   Input Parameters:
2265 + ts   - The TS context obtained from TSCreate()
2266 - func - The function
2267 
2268   Calling sequence of func:
2269 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2270 
2271   Level: intermediate
2272 
2273   Note:
2274   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2275   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2276   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2277 
2278 .keywords: TS, timestep
2279 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2280 @*/
2281 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2282 {
2283   PetscFunctionBegin;
2284   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2285   ts->poststage = func;
2286   PetscFunctionReturn(0);
2287 }
2288 
2289 #undef __FUNCT__
2290 #define __FUNCT__ "TSPreStage"
2291 /*@
2292   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2293 
2294   Collective on TS
2295 
2296   Input Parameters:
2297 . ts          - The TS context obtained from TSCreate()
2298   stagetime   - The absolute time of the current stage
2299 
2300   Notes:
2301   TSPreStage() is typically used within time stepping implementations,
2302   most users would not generally call this routine themselves.
2303 
2304   Level: developer
2305 
2306 .keywords: TS, timestep
2307 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2308 @*/
2309 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2310 {
2311   PetscErrorCode ierr;
2312 
2313   PetscFunctionBegin;
2314   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2315   if (ts->prestage) {
2316     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2317   }
2318   PetscFunctionReturn(0);
2319 }
2320 
2321 #undef __FUNCT__
2322 #define __FUNCT__ "TSPostStage"
2323 /*@
2324   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2325 
2326   Collective on TS
2327 
2328   Input Parameters:
2329 . ts          - The TS context obtained from TSCreate()
2330   stagetime   - The absolute time of the current stage
2331   stageindex  - Stage number
2332   Y           - Array of vectors (of size = total number
2333                 of stages) with the stage solutions
2334 
2335   Notes:
2336   TSPostStage() is typically used within time stepping implementations,
2337   most users would not generally call this routine themselves.
2338 
2339   Level: developer
2340 
2341 .keywords: TS, timestep
2342 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2343 @*/
2344 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2345 {
2346   PetscErrorCode ierr;
2347 
2348   PetscFunctionBegin;
2349   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2350   if (ts->prestage) {
2351     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2352   }
2353   PetscFunctionReturn(0);
2354 }
2355 
2356 #undef __FUNCT__
2357 #define __FUNCT__ "TSSetPostStep"
2358 /*@C
2359   TSSetPostStep - Sets the general-purpose function
2360   called once at the end of each time step.
2361 
2362   Logically Collective on TS
2363 
2364   Input Parameters:
2365 + ts   - The TS context obtained from TSCreate()
2366 - func - The function
2367 
2368   Calling sequence of func:
2369 $ func (TS ts);
2370 
2371   Level: intermediate
2372 
2373 .keywords: TS, timestep
2374 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2375 @*/
2376 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2377 {
2378   PetscFunctionBegin;
2379   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2380   ts->poststep = func;
2381   PetscFunctionReturn(0);
2382 }
2383 
2384 #undef __FUNCT__
2385 #define __FUNCT__ "TSPostStep"
2386 /*@
2387   TSPostStep - Runs the user-defined post-step function.
2388 
2389   Collective on TS
2390 
2391   Input Parameters:
2392 . ts   - The TS context obtained from TSCreate()
2393 
2394   Notes:
2395   TSPostStep() is typically used within time stepping implementations,
2396   so most users would not generally call this routine themselves.
2397 
2398   Level: developer
2399 
2400 .keywords: TS, timestep
2401 @*/
2402 PetscErrorCode  TSPostStep(TS ts)
2403 {
2404   PetscErrorCode ierr;
2405 
2406   PetscFunctionBegin;
2407   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2408   if (ts->poststep) {
2409     PetscStackCallStandard((*ts->poststep),(ts));
2410   }
2411   PetscFunctionReturn(0);
2412 }
2413 
2414 /* ------------ Routines to set performance monitoring options ----------- */
2415 
2416 #undef __FUNCT__
2417 #define __FUNCT__ "TSMonitorSet"
2418 /*@C
2419    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2420    timestep to display the iteration's  progress.
2421 
2422    Logically Collective on TS
2423 
2424    Input Parameters:
2425 +  ts - the TS context obtained from TSCreate()
2426 .  monitor - monitoring routine
2427 .  mctx - [optional] user-defined context for private data for the
2428              monitor routine (use NULL if no context is desired)
2429 -  monitordestroy - [optional] routine that frees monitor context
2430           (may be NULL)
2431 
2432    Calling sequence of monitor:
2433 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2434 
2435 +    ts - the TS context
2436 .    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
2437                                been interpolated to)
2438 .    time - current time
2439 .    u - current iterate
2440 -    mctx - [optional] monitoring context
2441 
2442    Notes:
2443    This routine adds an additional monitor to the list of monitors that
2444    already has been loaded.
2445 
2446    Fortran notes: Only a single monitor function can be set for each TS object
2447 
2448    Level: intermediate
2449 
2450 .keywords: TS, timestep, set, monitor
2451 
2452 .seealso: TSMonitorDefault(), TSMonitorCancel()
2453 @*/
2454 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2455 {
2456   PetscFunctionBegin;
2457   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2458   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2459   ts->monitor[ts->numbermonitors]          = monitor;
2460   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2461   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2462   PetscFunctionReturn(0);
2463 }
2464 
2465 #undef __FUNCT__
2466 #define __FUNCT__ "TSMonitorCancel"
2467 /*@C
2468    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2469 
2470    Logically Collective on TS
2471 
2472    Input Parameters:
2473 .  ts - the TS context obtained from TSCreate()
2474 
2475    Notes:
2476    There is no way to remove a single, specific monitor.
2477 
2478    Level: intermediate
2479 
2480 .keywords: TS, timestep, set, monitor
2481 
2482 .seealso: TSMonitorDefault(), TSMonitorSet()
2483 @*/
2484 PetscErrorCode  TSMonitorCancel(TS ts)
2485 {
2486   PetscErrorCode ierr;
2487   PetscInt       i;
2488 
2489   PetscFunctionBegin;
2490   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2491   for (i=0; i<ts->numbermonitors; i++) {
2492     if (ts->monitordestroy[i]) {
2493       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2494     }
2495   }
2496   ts->numbermonitors = 0;
2497   PetscFunctionReturn(0);
2498 }
2499 
2500 #undef __FUNCT__
2501 #define __FUNCT__ "TSMonitorDefault"
2502 /*@
2503    TSMonitorDefault - Sets the Default monitor
2504 
2505    Level: intermediate
2506 
2507 .keywords: TS, set, monitor
2508 
2509 .seealso: TSMonitorDefault(), TSMonitorSet()
2510 @*/
2511 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2512 {
2513   PetscErrorCode ierr;
2514   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2515 
2516   PetscFunctionBegin;
2517   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2518   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2519   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2520   PetscFunctionReturn(0);
2521 }
2522 
2523 #undef __FUNCT__
2524 #define __FUNCT__ "TSSetRetainStages"
2525 /*@
2526    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2527 
2528    Logically Collective on TS
2529 
2530    Input Argument:
2531 .  ts - time stepping context
2532 
2533    Output Argument:
2534 .  flg - PETSC_TRUE or PETSC_FALSE
2535 
2536    Level: intermediate
2537 
2538 .keywords: TS, set
2539 
2540 .seealso: TSInterpolate(), TSSetPostStep()
2541 @*/
2542 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2543 {
2544   PetscFunctionBegin;
2545   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2546   ts->retain_stages = flg;
2547   PetscFunctionReturn(0);
2548 }
2549 
2550 #undef __FUNCT__
2551 #define __FUNCT__ "TSInterpolate"
2552 /*@
2553    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2554 
2555    Collective on TS
2556 
2557    Input Argument:
2558 +  ts - time stepping context
2559 -  t - time to interpolate to
2560 
2561    Output Argument:
2562 .  U - state at given time
2563 
2564    Notes:
2565    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2566 
2567    Level: intermediate
2568 
2569    Developer Notes:
2570    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2571 
2572 .keywords: TS, set
2573 
2574 .seealso: TSSetRetainStages(), TSSetPostStep()
2575 @*/
2576 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2577 {
2578   PetscErrorCode ierr;
2579 
2580   PetscFunctionBegin;
2581   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2582   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2583   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);
2584   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
2585   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
2586   PetscFunctionReturn(0);
2587 }
2588 
2589 #undef __FUNCT__
2590 #define __FUNCT__ "TSStep"
2591 /*@
2592    TSStep - Steps one time step
2593 
2594    Collective on TS
2595 
2596    Input Parameter:
2597 .  ts - the TS context obtained from TSCreate()
2598 
2599    Level: intermediate
2600 
2601    Notes:
2602    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
2603    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
2604 
2605    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
2606    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
2607 
2608 .keywords: TS, timestep, solve
2609 
2610 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
2611 @*/
2612 PetscErrorCode  TSStep(TS ts)
2613 {
2614   PetscReal        ptime_prev;
2615   PetscErrorCode   ierr;
2616   static PetscBool cite = PETSC_FALSE;
2617 
2618   PetscFunctionBegin;
2619   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2620   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
2621                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
2622                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
2623                                 "  type        = {Preprint},\n"
2624                                 "  number      = {ANL/MCS-P5061-0114},\n"
2625                                 "  institution = {Argonne National Laboratory},\n"
2626                                 "  year        = {2014}\n}\n",&cite);
2627 
2628   ierr = TSSetUp(ts);CHKERRQ(ierr);
2629 
2630   ts->reason = TS_CONVERGED_ITERATING;
2631   ptime_prev = ts->ptime;
2632 
2633   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2634   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
2635   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2636 
2637   ts->time_step_prev = ts->ptime - ptime_prev;
2638 
2639   if (ts->reason < 0) {
2640     if (ts->errorifstepfailed) {
2641       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
2642         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]);
2643       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
2644     }
2645   } else if (!ts->reason) {
2646     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2647     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2648   }
2649   PetscFunctionReturn(0);
2650 }
2651 
2652 #undef __FUNCT__
2653 #define __FUNCT__ "TSEvaluateStep"
2654 /*@
2655    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
2656 
2657    Collective on TS
2658 
2659    Input Arguments:
2660 +  ts - time stepping context
2661 .  order - desired order of accuracy
2662 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
2663 
2664    Output Arguments:
2665 .  U - state at the end of the current step
2666 
2667    Level: advanced
2668 
2669    Notes:
2670    This function cannot be called until all stages have been evaluated.
2671    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.
2672 
2673 .seealso: TSStep(), TSAdapt
2674 @*/
2675 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
2676 {
2677   PetscErrorCode ierr;
2678 
2679   PetscFunctionBegin;
2680   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2681   PetscValidType(ts,1);
2682   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2683   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2684   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
2685   PetscFunctionReturn(0);
2686 }
2687 
2688 #undef __FUNCT__
2689 #define __FUNCT__ "TSSolve"
2690 /*@
2691    TSSolve - Steps the requested number of timesteps.
2692 
2693    Collective on TS
2694 
2695    Input Parameter:
2696 +  ts - the TS context obtained from TSCreate()
2697 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
2698 
2699    Level: beginner
2700 
2701    Notes:
2702    The final time returned by this function may be different from the time of the internally
2703    held state accessible by TSGetSolution() and TSGetTime() because the method may have
2704    stepped over the final time.
2705 
2706 .keywords: TS, timestep, solve
2707 
2708 .seealso: TSCreate(), TSSetSolution(), TSStep()
2709 @*/
2710 PetscErrorCode TSSolve(TS ts,Vec u)
2711 {
2712   Vec               solution;
2713   PetscErrorCode    ierr;
2714 
2715   PetscFunctionBegin;
2716   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2717   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2718   if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE) {   /* Need ts->vec_sol to be distinct so it is not overwritten when we interpolate at the end */
2719     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2720     if (!ts->vec_sol || u == ts->vec_sol) {
2721       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
2722       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
2723       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
2724     }
2725     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
2726   } else if (u) {
2727     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
2728   }
2729   ierr = TSSetUp(ts);CHKERRQ(ierr);
2730   /* reset time step and iteration counters */
2731   ts->steps             = 0;
2732   ts->ksp_its           = 0;
2733   ts->snes_its          = 0;
2734   ts->num_snes_failures = 0;
2735   ts->reject            = 0;
2736   ts->reason            = TS_CONVERGED_ITERATING;
2737 
2738   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
2739 
2740   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
2741     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
2742     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
2743     ts->solvetime = ts->ptime;
2744   } else {
2745     /* steps the requested number of timesteps. */
2746     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2747     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2748     while (!ts->reason) {
2749       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
2750       ierr = TSStep(ts);CHKERRQ(ierr);
2751       ierr = TSPostStep(ts);CHKERRQ(ierr);
2752     }
2753     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
2754       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
2755       ts->solvetime = ts->max_time;
2756       solution = u;
2757     } else {
2758       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
2759       ts->solvetime = ts->ptime;
2760       solution = ts->vec_sol;
2761     }
2762     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
2763   }
2764   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
2765   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
2766   PetscFunctionReturn(0);
2767 }
2768 
2769 #undef __FUNCT__
2770 #define __FUNCT__ "TSMonitor"
2771 /*@
2772    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
2773 
2774    Collective on TS
2775 
2776    Input Parameters:
2777 +  ts - time stepping context obtained from TSCreate()
2778 .  step - step number that has just completed
2779 .  ptime - model time of the state
2780 -  u - state at the current model time
2781 
2782    Notes:
2783    TSMonitor() is typically used within the time stepping implementations.
2784    Users might call this function when using the TSStep() interface instead of TSSolve().
2785 
2786    Level: advanced
2787 
2788 .keywords: TS, timestep
2789 @*/
2790 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
2791 {
2792   PetscErrorCode ierr;
2793   PetscInt       i,n = ts->numbermonitors;
2794 
2795   PetscFunctionBegin;
2796   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2797   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
2798   for (i=0; i<n; i++) {
2799     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
2800   }
2801   PetscFunctionReturn(0);
2802 }
2803 
2804 /* ------------------------------------------------------------------------*/
2805 #undef __FUNCT__
2806 #define __FUNCT__ "TSMonitorLGCtxCreate"
2807 /*@C
2808    TSMonitorLGCtxCreate - Creates a line graph context for use with
2809    TS to monitor the solution process graphically in various ways
2810 
2811    Collective on TS
2812 
2813    Input Parameters:
2814 +  host - the X display to open, or null for the local machine
2815 .  label - the title to put in the title bar
2816 .  x, y - the screen coordinates of the upper left coordinate of the window
2817 .  m, n - the screen width and height in pixels
2818 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
2819 
2820    Output Parameter:
2821 .  ctx - the context
2822 
2823    Options Database Key:
2824 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
2825 .  -ts_monitor_lg_solution -
2826 .  -ts_monitor_lg_error -
2827 .  -ts_monitor_lg_ksp_iterations -
2828 .  -ts_monitor_lg_snes_iterations -
2829 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
2830 
2831    Notes:
2832    Use TSMonitorLGCtxDestroy() to destroy.
2833 
2834    Level: intermediate
2835 
2836 .keywords: TS, monitor, line graph, residual, seealso
2837 
2838 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
2839 
2840 @*/
2841 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
2842 {
2843   PetscDraw      win;
2844   PetscErrorCode ierr;
2845 
2846   PetscFunctionBegin;
2847   ierr = PetscNew(ctx);CHKERRQ(ierr);
2848   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
2849   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
2850   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
2851   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
2852   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
2853   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
2854   (*ctx)->howoften = howoften;
2855   PetscFunctionReturn(0);
2856 }
2857 
2858 #undef __FUNCT__
2859 #define __FUNCT__ "TSMonitorLGTimeStep"
2860 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
2861 {
2862   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
2863   PetscReal      x   = ptime,y;
2864   PetscErrorCode ierr;
2865 
2866   PetscFunctionBegin;
2867   if (!step) {
2868     PetscDrawAxis axis;
2869     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
2870     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
2871     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
2872     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
2873   }
2874   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
2875   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
2876   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
2877     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
2878   }
2879   PetscFunctionReturn(0);
2880 }
2881 
2882 #undef __FUNCT__
2883 #define __FUNCT__ "TSMonitorLGCtxDestroy"
2884 /*@C
2885    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
2886    with TSMonitorLGCtxCreate().
2887 
2888    Collective on TSMonitorLGCtx
2889 
2890    Input Parameter:
2891 .  ctx - the monitor context
2892 
2893    Level: intermediate
2894 
2895 .keywords: TS, monitor, line graph, destroy
2896 
2897 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
2898 @*/
2899 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
2900 {
2901   PetscDraw      draw;
2902   PetscErrorCode ierr;
2903 
2904   PetscFunctionBegin;
2905   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
2906   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
2907   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
2908   ierr = PetscFree(*ctx);CHKERRQ(ierr);
2909   PetscFunctionReturn(0);
2910 }
2911 
2912 #undef __FUNCT__
2913 #define __FUNCT__ "TSGetTime"
2914 /*@
2915    TSGetTime - Gets the time of the most recently completed step.
2916 
2917    Not Collective
2918 
2919    Input Parameter:
2920 .  ts - the TS context obtained from TSCreate()
2921 
2922    Output Parameter:
2923 .  t  - the current time
2924 
2925    Level: beginner
2926 
2927    Note:
2928    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
2929    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
2930 
2931 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2932 
2933 .keywords: TS, get, time
2934 @*/
2935 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
2936 {
2937   PetscFunctionBegin;
2938   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2939   PetscValidRealPointer(t,2);
2940   *t = ts->ptime;
2941   PetscFunctionReturn(0);
2942 }
2943 
2944 #undef __FUNCT__
2945 #define __FUNCT__ "TSSetTime"
2946 /*@
2947    TSSetTime - Allows one to reset the time.
2948 
2949    Logically Collective on TS
2950 
2951    Input Parameters:
2952 +  ts - the TS context obtained from TSCreate()
2953 -  time - the time
2954 
2955    Level: intermediate
2956 
2957 .seealso: TSGetTime(), TSSetDuration()
2958 
2959 .keywords: TS, set, time
2960 @*/
2961 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
2962 {
2963   PetscFunctionBegin;
2964   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2965   PetscValidLogicalCollectiveReal(ts,t,2);
2966   ts->ptime = t;
2967   PetscFunctionReturn(0);
2968 }
2969 
2970 #undef __FUNCT__
2971 #define __FUNCT__ "TSSetOptionsPrefix"
2972 /*@C
2973    TSSetOptionsPrefix - Sets the prefix used for searching for all
2974    TS options in the database.
2975 
2976    Logically Collective on TS
2977 
2978    Input Parameter:
2979 +  ts     - The TS context
2980 -  prefix - The prefix to prepend to all option names
2981 
2982    Notes:
2983    A hyphen (-) must NOT be given at the beginning of the prefix name.
2984    The first character of all runtime options is AUTOMATICALLY the
2985    hyphen.
2986 
2987    Level: advanced
2988 
2989 .keywords: TS, set, options, prefix, database
2990 
2991 .seealso: TSSetFromOptions()
2992 
2993 @*/
2994 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
2995 {
2996   PetscErrorCode ierr;
2997   SNES           snes;
2998 
2999   PetscFunctionBegin;
3000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3001   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3002   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3003   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3004   PetscFunctionReturn(0);
3005 }
3006 
3007 
3008 #undef __FUNCT__
3009 #define __FUNCT__ "TSAppendOptionsPrefix"
3010 /*@C
3011    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3012    TS options in the database.
3013 
3014    Logically Collective on TS
3015 
3016    Input Parameter:
3017 +  ts     - The TS context
3018 -  prefix - The prefix to prepend to all option names
3019 
3020    Notes:
3021    A hyphen (-) must NOT be given at the beginning of the prefix name.
3022    The first character of all runtime options is AUTOMATICALLY the
3023    hyphen.
3024 
3025    Level: advanced
3026 
3027 .keywords: TS, append, options, prefix, database
3028 
3029 .seealso: TSGetOptionsPrefix()
3030 
3031 @*/
3032 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3033 {
3034   PetscErrorCode ierr;
3035   SNES           snes;
3036 
3037   PetscFunctionBegin;
3038   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3039   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3040   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3041   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3042   PetscFunctionReturn(0);
3043 }
3044 
3045 #undef __FUNCT__
3046 #define __FUNCT__ "TSGetOptionsPrefix"
3047 /*@C
3048    TSGetOptionsPrefix - Sets the prefix used for searching for all
3049    TS options in the database.
3050 
3051    Not Collective
3052 
3053    Input Parameter:
3054 .  ts - The TS context
3055 
3056    Output Parameter:
3057 .  prefix - A pointer to the prefix string used
3058 
3059    Notes: On the fortran side, the user should pass in a string 'prifix' of
3060    sufficient length to hold the prefix.
3061 
3062    Level: intermediate
3063 
3064 .keywords: TS, get, options, prefix, database
3065 
3066 .seealso: TSAppendOptionsPrefix()
3067 @*/
3068 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3069 {
3070   PetscErrorCode ierr;
3071 
3072   PetscFunctionBegin;
3073   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3074   PetscValidPointer(prefix,2);
3075   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3076   PetscFunctionReturn(0);
3077 }
3078 
3079 #undef __FUNCT__
3080 #define __FUNCT__ "TSGetRHSJacobian"
3081 /*@C
3082    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3083 
3084    Not Collective, but parallel objects are returned if TS is parallel
3085 
3086    Input Parameter:
3087 .  ts  - The TS context obtained from TSCreate()
3088 
3089    Output Parameters:
3090 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3091 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3092 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3093 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3094 
3095    Notes: You can pass in NULL for any return argument you do not need.
3096 
3097    Level: intermediate
3098 
3099 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3100 
3101 .keywords: TS, timestep, get, matrix, Jacobian
3102 @*/
3103 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3104 {
3105   PetscErrorCode ierr;
3106   SNES           snes;
3107   DM             dm;
3108 
3109   PetscFunctionBegin;
3110   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3111   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3112   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3113   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3114   PetscFunctionReturn(0);
3115 }
3116 
3117 #undef __FUNCT__
3118 #define __FUNCT__ "TSGetIJacobian"
3119 /*@C
3120    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3121 
3122    Not Collective, but parallel objects are returned if TS is parallel
3123 
3124    Input Parameter:
3125 .  ts  - The TS context obtained from TSCreate()
3126 
3127    Output Parameters:
3128 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3129 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3130 .  f   - The function to compute the matrices
3131 - ctx - User-defined context for Jacobian evaluation routine
3132 
3133    Notes: You can pass in NULL for any return argument you do not need.
3134 
3135    Level: advanced
3136 
3137 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3138 
3139 .keywords: TS, timestep, get, matrix, Jacobian
3140 @*/
3141 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3142 {
3143   PetscErrorCode ierr;
3144   SNES           snes;
3145   DM             dm;
3146 
3147   PetscFunctionBegin;
3148   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3149   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3150   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3151   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3152   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3153   PetscFunctionReturn(0);
3154 }
3155 
3156 
3157 #undef __FUNCT__
3158 #define __FUNCT__ "TSMonitorDrawSolution"
3159 /*@C
3160    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3161    VecView() for the solution at each timestep
3162 
3163    Collective on TS
3164 
3165    Input Parameters:
3166 +  ts - the TS context
3167 .  step - current time-step
3168 .  ptime - current time
3169 -  dummy - either a viewer or NULL
3170 
3171    Options Database:
3172 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3173 
3174    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3175        will look bad
3176 
3177    Level: intermediate
3178 
3179 .keywords: TS,  vector, monitor, view
3180 
3181 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3182 @*/
3183 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3184 {
3185   PetscErrorCode   ierr;
3186   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3187   PetscDraw        draw;
3188 
3189   PetscFunctionBegin;
3190   if (!step && ictx->showinitial) {
3191     if (!ictx->initialsolution) {
3192       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3193     }
3194     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3195   }
3196   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3197 
3198   if (ictx->showinitial) {
3199     PetscReal pause;
3200     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3201     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3202     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3203     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3204     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3205   }
3206   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3207   if (ictx->showtimestepandtime) {
3208     PetscReal xl,yl,xr,yr,tw,w,h;
3209     char      time[32];
3210     size_t    len;
3211 
3212     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3213     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3214     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3215     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3216     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3217     w    = xl + .5*(xr - xl) - .5*len*tw;
3218     h    = yl + .95*(yr - yl);
3219     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3220     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3221   }
3222 
3223   if (ictx->showinitial) {
3224     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3225   }
3226   PetscFunctionReturn(0);
3227 }
3228 
3229 #undef __FUNCT__
3230 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3231 /*@C
3232    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3233 
3234    Collective on TS
3235 
3236    Input Parameters:
3237 +  ts - the TS context
3238 .  step - current time-step
3239 .  ptime - current time
3240 -  dummy - either a viewer or NULL
3241 
3242    Level: intermediate
3243 
3244 .keywords: TS,  vector, monitor, view
3245 
3246 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3247 @*/
3248 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3249 {
3250   PetscErrorCode    ierr;
3251   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3252   PetscDraw         draw;
3253   MPI_Comm          comm;
3254   PetscInt          n;
3255   PetscMPIInt       size;
3256   PetscReal         xl,yl,xr,yr,tw,w,h;
3257   char              time[32];
3258   size_t            len;
3259   const PetscScalar *U;
3260 
3261   PetscFunctionBegin;
3262   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3263   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3264   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3265   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3266   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3267 
3268   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3269 
3270   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3271   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3272   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3273       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3274       PetscFunctionReturn(0);
3275   }
3276   if (!step) ictx->color++;
3277   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3278   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3279 
3280   if (ictx->showtimestepandtime) {
3281     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3282     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3283     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3284     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3285     w    = xl + .5*(xr - xl) - .5*len*tw;
3286     h    = yl + .95*(yr - yl);
3287     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3288   }
3289   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3290   PetscFunctionReturn(0);
3291 }
3292 
3293 
3294 #undef __FUNCT__
3295 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3296 /*@C
3297    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3298 
3299    Collective on TS
3300 
3301    Input Parameters:
3302 .    ctx - the monitor context
3303 
3304    Level: intermediate
3305 
3306 .keywords: TS,  vector, monitor, view
3307 
3308 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3309 @*/
3310 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3311 {
3312   PetscErrorCode ierr;
3313 
3314   PetscFunctionBegin;
3315   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3316   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3317   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3318   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3319   PetscFunctionReturn(0);
3320 }
3321 
3322 #undef __FUNCT__
3323 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3324 /*@C
3325    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3326 
3327    Collective on TS
3328 
3329    Input Parameter:
3330 .    ts - time-step context
3331 
3332    Output Patameter:
3333 .    ctx - the monitor context
3334 
3335    Options Database:
3336 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3337 
3338    Level: intermediate
3339 
3340 .keywords: TS,  vector, monitor, view
3341 
3342 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3343 @*/
3344 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3345 {
3346   PetscErrorCode   ierr;
3347 
3348   PetscFunctionBegin;
3349   ierr = PetscNew(ctx);CHKERRQ(ierr);
3350   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3351   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3352 
3353   (*ctx)->howoften    = howoften;
3354   (*ctx)->showinitial = PETSC_FALSE;
3355   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3356 
3357   (*ctx)->showtimestepandtime = PETSC_FALSE;
3358   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3359   (*ctx)->color = PETSC_DRAW_WHITE;
3360   PetscFunctionReturn(0);
3361 }
3362 
3363 #undef __FUNCT__
3364 #define __FUNCT__ "TSMonitorDrawError"
3365 /*@C
3366    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3367    VecView() for the error at each timestep
3368 
3369    Collective on TS
3370 
3371    Input Parameters:
3372 +  ts - the TS context
3373 .  step - current time-step
3374 .  ptime - current time
3375 -  dummy - either a viewer or NULL
3376 
3377    Level: intermediate
3378 
3379 .keywords: TS,  vector, monitor, view
3380 
3381 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3382 @*/
3383 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3384 {
3385   PetscErrorCode   ierr;
3386   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3387   PetscViewer      viewer = ctx->viewer;
3388   Vec              work;
3389 
3390   PetscFunctionBegin;
3391   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3392   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3393   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3394   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3395   ierr = VecView(work,viewer);CHKERRQ(ierr);
3396   ierr = VecDestroy(&work);CHKERRQ(ierr);
3397   PetscFunctionReturn(0);
3398 }
3399 
3400 #include <petsc-private/dmimpl.h>
3401 #undef __FUNCT__
3402 #define __FUNCT__ "TSSetDM"
3403 /*@
3404    TSSetDM - Sets the DM that may be used by some preconditioners
3405 
3406    Logically Collective on TS and DM
3407 
3408    Input Parameters:
3409 +  ts - the preconditioner context
3410 -  dm - the dm
3411 
3412    Level: intermediate
3413 
3414 
3415 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3416 @*/
3417 PetscErrorCode  TSSetDM(TS ts,DM dm)
3418 {
3419   PetscErrorCode ierr;
3420   SNES           snes;
3421   DMTS           tsdm;
3422 
3423   PetscFunctionBegin;
3424   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3425   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3426   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3427     if (ts->dm->dmts && !dm->dmts) {
3428       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
3429       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
3430       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
3431         tsdm->originaldm = dm;
3432       }
3433     }
3434     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
3435   }
3436   ts->dm = dm;
3437 
3438   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3439   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
3440   PetscFunctionReturn(0);
3441 }
3442 
3443 #undef __FUNCT__
3444 #define __FUNCT__ "TSGetDM"
3445 /*@
3446    TSGetDM - Gets the DM that may be used by some preconditioners
3447 
3448    Not Collective
3449 
3450    Input Parameter:
3451 . ts - the preconditioner context
3452 
3453    Output Parameter:
3454 .  dm - the dm
3455 
3456    Level: intermediate
3457 
3458 
3459 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
3460 @*/
3461 PetscErrorCode  TSGetDM(TS ts,DM *dm)
3462 {
3463   PetscErrorCode ierr;
3464 
3465   PetscFunctionBegin;
3466   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3467   if (!ts->dm) {
3468     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
3469     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
3470   }
3471   *dm = ts->dm;
3472   PetscFunctionReturn(0);
3473 }
3474 
3475 #undef __FUNCT__
3476 #define __FUNCT__ "SNESTSFormFunction"
3477 /*@
3478    SNESTSFormFunction - Function to evaluate nonlinear residual
3479 
3480    Logically Collective on SNES
3481 
3482    Input Parameter:
3483 + snes - nonlinear solver
3484 . U - the current state at which to evaluate the residual
3485 - ctx - user context, must be a TS
3486 
3487    Output Parameter:
3488 . F - the nonlinear residual
3489 
3490    Notes:
3491    This function is not normally called by users and is automatically registered with the SNES used by TS.
3492    It is most frequently passed to MatFDColoringSetFunction().
3493 
3494    Level: advanced
3495 
3496 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
3497 @*/
3498 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
3499 {
3500   TS             ts = (TS)ctx;
3501   PetscErrorCode ierr;
3502 
3503   PetscFunctionBegin;
3504   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3505   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3506   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
3507   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
3508   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
3509   PetscFunctionReturn(0);
3510 }
3511 
3512 #undef __FUNCT__
3513 #define __FUNCT__ "SNESTSFormJacobian"
3514 /*@
3515    SNESTSFormJacobian - Function to evaluate the Jacobian
3516 
3517    Collective on SNES
3518 
3519    Input Parameter:
3520 + snes - nonlinear solver
3521 . U - the current state at which to evaluate the residual
3522 - ctx - user context, must be a TS
3523 
3524    Output Parameter:
3525 + A - the Jacobian
3526 . B - the preconditioning matrix (may be the same as A)
3527 - flag - indicates any structure change in the matrix
3528 
3529    Notes:
3530    This function is not normally called by users and is automatically registered with the SNES used by TS.
3531 
3532    Level: developer
3533 
3534 .seealso: SNESSetJacobian()
3535 @*/
3536 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat *A,Mat *B,MatStructure *flag,void *ctx)
3537 {
3538   TS             ts = (TS)ctx;
3539   PetscErrorCode ierr;
3540 
3541   PetscFunctionBegin;
3542   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3543   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3544   PetscValidPointer(A,3);
3545   PetscValidHeaderSpecific(*A,MAT_CLASSID,3);
3546   PetscValidPointer(B,4);
3547   PetscValidHeaderSpecific(*B,MAT_CLASSID,4);
3548   PetscValidPointer(flag,5);
3549   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
3550   ierr = (ts->ops->snesjacobian)(snes,U,A,B,flag,ts);CHKERRQ(ierr);
3551   PetscFunctionReturn(0);
3552 }
3553 
3554 #undef __FUNCT__
3555 #define __FUNCT__ "TSComputeRHSFunctionLinear"
3556 /*@C
3557    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
3558 
3559    Collective on TS
3560 
3561    Input Arguments:
3562 +  ts - time stepping context
3563 .  t - time at which to evaluate
3564 .  U - state at which to evaluate
3565 -  ctx - context
3566 
3567    Output Arguments:
3568 .  F - right hand side
3569 
3570    Level: intermediate
3571 
3572    Notes:
3573    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
3574    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
3575 
3576 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
3577 @*/
3578 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
3579 {
3580   PetscErrorCode ierr;
3581   Mat            Arhs,Brhs;
3582   MatStructure   flg2;
3583 
3584   PetscFunctionBegin;
3585   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
3586   ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
3587   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
3588   PetscFunctionReturn(0);
3589 }
3590 
3591 #undef __FUNCT__
3592 #define __FUNCT__ "TSComputeRHSJacobianConstant"
3593 /*@C
3594    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
3595 
3596    Collective on TS
3597 
3598    Input Arguments:
3599 +  ts - time stepping context
3600 .  t - time at which to evaluate
3601 .  U - state at which to evaluate
3602 -  ctx - context
3603 
3604    Output Arguments:
3605 +  A - pointer to operator
3606 .  B - pointer to preconditioning matrix
3607 -  flg - matrix structure flag
3608 
3609    Level: intermediate
3610 
3611    Notes:
3612    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
3613 
3614 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
3615 @*/
3616 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3617 {
3618   PetscFunctionBegin;
3619   *flg = SAME_PRECONDITIONER;
3620   PetscFunctionReturn(0);
3621 }
3622 
3623 #undef __FUNCT__
3624 #define __FUNCT__ "TSComputeIFunctionLinear"
3625 /*@C
3626    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
3627 
3628    Collective on TS
3629 
3630    Input Arguments:
3631 +  ts - time stepping context
3632 .  t - time at which to evaluate
3633 .  U - state at which to evaluate
3634 .  Udot - time derivative of state vector
3635 -  ctx - context
3636 
3637    Output Arguments:
3638 .  F - left hand side
3639 
3640    Level: intermediate
3641 
3642    Notes:
3643    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
3644    user is required to write their own TSComputeIFunction.
3645    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
3646    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
3647 
3648 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
3649 @*/
3650 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
3651 {
3652   PetscErrorCode ierr;
3653   Mat            A,B;
3654   MatStructure   flg2;
3655 
3656   PetscFunctionBegin;
3657   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
3658   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,&A,&B,&flg2,PETSC_TRUE);CHKERRQ(ierr);
3659   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
3660   PetscFunctionReturn(0);
3661 }
3662 
3663 #undef __FUNCT__
3664 #define __FUNCT__ "TSComputeIJacobianConstant"
3665 /*@C
3666    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
3667 
3668    Collective on TS
3669 
3670    Input Arguments:
3671 +  ts - time stepping context
3672 .  t - time at which to evaluate
3673 .  U - state at which to evaluate
3674 .  Udot - time derivative of state vector
3675 .  shift - shift to apply
3676 -  ctx - context
3677 
3678    Output Arguments:
3679 +  A - pointer to operator
3680 .  B - pointer to preconditioning matrix
3681 -  flg - matrix structure flag
3682 
3683    Level: advanced
3684 
3685    Notes:
3686    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
3687 
3688    It is only appropriate for problems of the form
3689 
3690 $     M Udot = F(U,t)
3691 
3692   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
3693   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
3694   an implicit operator of the form
3695 
3696 $    shift*M + J
3697 
3698   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
3699   a copy of M or reassemble it when requested.
3700 
3701 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
3702 @*/
3703 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3704 {
3705   PetscErrorCode ierr;
3706 
3707   PetscFunctionBegin;
3708   ierr = MatScale(*A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
3709   ts->ijacobian.shift = shift;
3710   *flg = SAME_PRECONDITIONER;
3711   PetscFunctionReturn(0);
3712 }
3713 
3714 #undef __FUNCT__
3715 #define __FUNCT__ "TSGetEquationType"
3716 /*@
3717    TSGetEquationType - Gets the type of the equation that TS is solving.
3718 
3719    Not Collective
3720 
3721    Input Parameter:
3722 .  ts - the TS context
3723 
3724    Output Parameter:
3725 .  equation_type - see TSEquationType
3726 
3727    Level: beginner
3728 
3729 .keywords: TS, equation type
3730 
3731 .seealso: TSSetEquationType(), TSEquationType
3732 @*/
3733 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
3734 {
3735   PetscFunctionBegin;
3736   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3737   PetscValidPointer(equation_type,2);
3738   *equation_type = ts->equation_type;
3739   PetscFunctionReturn(0);
3740 }
3741 
3742 #undef __FUNCT__
3743 #define __FUNCT__ "TSSetEquationType"
3744 /*@
3745    TSSetEquationType - Sets the type of the equation that TS is solving.
3746 
3747    Not Collective
3748 
3749    Input Parameter:
3750 +  ts - the TS context
3751 .  equation_type - see TSEquationType
3752 
3753    Level: advanced
3754 
3755 .keywords: TS, equation type
3756 
3757 .seealso: TSGetEquationType(), TSEquationType
3758 @*/
3759 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
3760 {
3761   PetscFunctionBegin;
3762   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3763   ts->equation_type = equation_type;
3764   PetscFunctionReturn(0);
3765 }
3766 
3767 #undef __FUNCT__
3768 #define __FUNCT__ "TSGetConvergedReason"
3769 /*@
3770    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
3771 
3772    Not Collective
3773 
3774    Input Parameter:
3775 .  ts - the TS context
3776 
3777    Output Parameter:
3778 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3779             manual pages for the individual convergence tests for complete lists
3780 
3781    Level: beginner
3782 
3783    Notes:
3784    Can only be called after the call to TSSolve() is complete.
3785 
3786 .keywords: TS, nonlinear, set, convergence, test
3787 
3788 .seealso: TSSetConvergenceTest(), TSConvergedReason
3789 @*/
3790 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
3791 {
3792   PetscFunctionBegin;
3793   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3794   PetscValidPointer(reason,2);
3795   *reason = ts->reason;
3796   PetscFunctionReturn(0);
3797 }
3798 
3799 #undef __FUNCT__
3800 #define __FUNCT__ "TSSetConvergedReason"
3801 /*@
3802    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
3803 
3804    Not Collective
3805 
3806    Input Parameter:
3807 +  ts - the TS context
3808 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3809             manual pages for the individual convergence tests for complete lists
3810 
3811    Level: advanced
3812 
3813    Notes:
3814    Can only be called during TSSolve() is active.
3815 
3816 .keywords: TS, nonlinear, set, convergence, test
3817 
3818 .seealso: TSConvergedReason
3819 @*/
3820 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
3821 {
3822   PetscFunctionBegin;
3823   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3824   ts->reason = reason;
3825   PetscFunctionReturn(0);
3826 }
3827 
3828 #undef __FUNCT__
3829 #define __FUNCT__ "TSGetSolveTime"
3830 /*@
3831    TSGetSolveTime - Gets the time after a call to TSSolve()
3832 
3833    Not Collective
3834 
3835    Input Parameter:
3836 .  ts - the TS context
3837 
3838    Output Parameter:
3839 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
3840 
3841    Level: beginner
3842 
3843    Notes:
3844    Can only be called after the call to TSSolve() is complete.
3845 
3846 .keywords: TS, nonlinear, set, convergence, test
3847 
3848 .seealso: TSSetConvergenceTest(), TSConvergedReason
3849 @*/
3850 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
3851 {
3852   PetscFunctionBegin;
3853   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3854   PetscValidPointer(ftime,2);
3855   *ftime = ts->solvetime;
3856   PetscFunctionReturn(0);
3857 }
3858 
3859 #undef __FUNCT__
3860 #define __FUNCT__ "TSGetSNESIterations"
3861 /*@
3862    TSGetSNESIterations - Gets the total number of nonlinear iterations
3863    used by the time integrator.
3864 
3865    Not Collective
3866 
3867    Input Parameter:
3868 .  ts - TS context
3869 
3870    Output Parameter:
3871 .  nits - number of nonlinear iterations
3872 
3873    Notes:
3874    This counter is reset to zero for each successive call to TSSolve().
3875 
3876    Level: intermediate
3877 
3878 .keywords: TS, get, number, nonlinear, iterations
3879 
3880 .seealso:  TSGetKSPIterations()
3881 @*/
3882 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
3883 {
3884   PetscFunctionBegin;
3885   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3886   PetscValidIntPointer(nits,2);
3887   *nits = ts->snes_its;
3888   PetscFunctionReturn(0);
3889 }
3890 
3891 #undef __FUNCT__
3892 #define __FUNCT__ "TSGetKSPIterations"
3893 /*@
3894    TSGetKSPIterations - Gets the total number of linear iterations
3895    used by the time integrator.
3896 
3897    Not Collective
3898 
3899    Input Parameter:
3900 .  ts - TS context
3901 
3902    Output Parameter:
3903 .  lits - number of linear iterations
3904 
3905    Notes:
3906    This counter is reset to zero for each successive call to TSSolve().
3907 
3908    Level: intermediate
3909 
3910 .keywords: TS, get, number, linear, iterations
3911 
3912 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
3913 @*/
3914 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
3915 {
3916   PetscFunctionBegin;
3917   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3918   PetscValidIntPointer(lits,2);
3919   *lits = ts->ksp_its;
3920   PetscFunctionReturn(0);
3921 }
3922 
3923 #undef __FUNCT__
3924 #define __FUNCT__ "TSGetStepRejections"
3925 /*@
3926    TSGetStepRejections - Gets the total number of rejected steps.
3927 
3928    Not Collective
3929 
3930    Input Parameter:
3931 .  ts - TS context
3932 
3933    Output Parameter:
3934 .  rejects - number of steps rejected
3935 
3936    Notes:
3937    This counter is reset to zero for each successive call to TSSolve().
3938 
3939    Level: intermediate
3940 
3941 .keywords: TS, get, number
3942 
3943 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
3944 @*/
3945 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
3946 {
3947   PetscFunctionBegin;
3948   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3949   PetscValidIntPointer(rejects,2);
3950   *rejects = ts->reject;
3951   PetscFunctionReturn(0);
3952 }
3953 
3954 #undef __FUNCT__
3955 #define __FUNCT__ "TSGetSNESFailures"
3956 /*@
3957    TSGetSNESFailures - Gets the total number of failed SNES solves
3958 
3959    Not Collective
3960 
3961    Input Parameter:
3962 .  ts - TS context
3963 
3964    Output Parameter:
3965 .  fails - number of failed nonlinear solves
3966 
3967    Notes:
3968    This counter is reset to zero for each successive call to TSSolve().
3969 
3970    Level: intermediate
3971 
3972 .keywords: TS, get, number
3973 
3974 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
3975 @*/
3976 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
3977 {
3978   PetscFunctionBegin;
3979   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3980   PetscValidIntPointer(fails,2);
3981   *fails = ts->num_snes_failures;
3982   PetscFunctionReturn(0);
3983 }
3984 
3985 #undef __FUNCT__
3986 #define __FUNCT__ "TSSetMaxStepRejections"
3987 /*@
3988    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
3989 
3990    Not Collective
3991 
3992    Input Parameter:
3993 +  ts - TS context
3994 -  rejects - maximum number of rejected steps, pass -1 for unlimited
3995 
3996    Notes:
3997    The counter is reset to zero for each step
3998 
3999    Options Database Key:
4000  .  -ts_max_reject - Maximum number of step rejections before a step fails
4001 
4002    Level: intermediate
4003 
4004 .keywords: TS, set, maximum, number
4005 
4006 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4007 @*/
4008 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4009 {
4010   PetscFunctionBegin;
4011   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4012   ts->max_reject = rejects;
4013   PetscFunctionReturn(0);
4014 }
4015 
4016 #undef __FUNCT__
4017 #define __FUNCT__ "TSSetMaxSNESFailures"
4018 /*@
4019    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4020 
4021    Not Collective
4022 
4023    Input Parameter:
4024 +  ts - TS context
4025 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4026 
4027    Notes:
4028    The counter is reset to zero for each successive call to TSSolve().
4029 
4030    Options Database Key:
4031  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4032 
4033    Level: intermediate
4034 
4035 .keywords: TS, set, maximum, number
4036 
4037 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4038 @*/
4039 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4040 {
4041   PetscFunctionBegin;
4042   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4043   ts->max_snes_failures = fails;
4044   PetscFunctionReturn(0);
4045 }
4046 
4047 #undef __FUNCT__
4048 #define __FUNCT__ "TSSetErrorIfStepFails"
4049 /*@
4050    TSSetErrorIfStepFails - Error if no step succeeds
4051 
4052    Not Collective
4053 
4054    Input Parameter:
4055 +  ts - TS context
4056 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4057 
4058    Options Database Key:
4059  .  -ts_error_if_step_fails - Error if no step succeeds
4060 
4061    Level: intermediate
4062 
4063 .keywords: TS, set, error
4064 
4065 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4066 @*/
4067 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4068 {
4069   PetscFunctionBegin;
4070   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4071   ts->errorifstepfailed = err;
4072   PetscFunctionReturn(0);
4073 }
4074 
4075 #undef __FUNCT__
4076 #define __FUNCT__ "TSMonitorSolutionBinary"
4077 /*@C
4078    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4079 
4080    Collective on TS
4081 
4082    Input Parameters:
4083 +  ts - the TS context
4084 .  step - current time-step
4085 .  ptime - current time
4086 .  u - current state
4087 -  viewer - binary viewer
4088 
4089    Level: intermediate
4090 
4091 .keywords: TS,  vector, monitor, view
4092 
4093 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4094 @*/
4095 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4096 {
4097   PetscErrorCode ierr;
4098   PetscViewer    v = (PetscViewer)viewer;
4099 
4100   PetscFunctionBegin;
4101   ierr = VecView(u,v);CHKERRQ(ierr);
4102   PetscFunctionReturn(0);
4103 }
4104 
4105 #undef __FUNCT__
4106 #define __FUNCT__ "TSMonitorSolutionVTK"
4107 /*@C
4108    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4109 
4110    Collective on TS
4111 
4112    Input Parameters:
4113 +  ts - the TS context
4114 .  step - current time-step
4115 .  ptime - current time
4116 .  u - current state
4117 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4118 
4119    Level: intermediate
4120 
4121    Notes:
4122    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.
4123    These are named according to the file name template.
4124 
4125    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4126 
4127 .keywords: TS,  vector, monitor, view
4128 
4129 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4130 @*/
4131 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4132 {
4133   PetscErrorCode ierr;
4134   char           filename[PETSC_MAX_PATH_LEN];
4135   PetscViewer    viewer;
4136 
4137   PetscFunctionBegin;
4138   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4139   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4140   ierr = VecView(u,viewer);CHKERRQ(ierr);
4141   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4142   PetscFunctionReturn(0);
4143 }
4144 
4145 #undef __FUNCT__
4146 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4147 /*@C
4148    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4149 
4150    Collective on TS
4151 
4152    Input Parameters:
4153 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4154 
4155    Level: intermediate
4156 
4157    Note:
4158    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4159 
4160 .keywords: TS,  vector, monitor, view
4161 
4162 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4163 @*/
4164 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4165 {
4166   PetscErrorCode ierr;
4167 
4168   PetscFunctionBegin;
4169   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4170   PetscFunctionReturn(0);
4171 }
4172 
4173 #undef __FUNCT__
4174 #define __FUNCT__ "TSGetAdapt"
4175 /*@
4176    TSGetAdapt - Get the adaptive controller context for the current method
4177 
4178    Collective on TS if controller has not been created yet
4179 
4180    Input Arguments:
4181 .  ts - time stepping context
4182 
4183    Output Arguments:
4184 .  adapt - adaptive controller
4185 
4186    Level: intermediate
4187 
4188 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4189 @*/
4190 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4191 {
4192   PetscErrorCode ierr;
4193 
4194   PetscFunctionBegin;
4195   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4196   PetscValidPointer(adapt,2);
4197   if (!ts->adapt) {
4198     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4199     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4200     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4201   }
4202   *adapt = ts->adapt;
4203   PetscFunctionReturn(0);
4204 }
4205 
4206 #undef __FUNCT__
4207 #define __FUNCT__ "TSSetTolerances"
4208 /*@
4209    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4210 
4211    Logically Collective
4212 
4213    Input Arguments:
4214 +  ts - time integration context
4215 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4216 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4217 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4218 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4219 
4220    Level: beginner
4221 
4222 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4223 @*/
4224 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4225 {
4226   PetscErrorCode ierr;
4227 
4228   PetscFunctionBegin;
4229   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4230   if (vatol) {
4231     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4232     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4233 
4234     ts->vatol = vatol;
4235   }
4236   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4237   if (vrtol) {
4238     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4239     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4240 
4241     ts->vrtol = vrtol;
4242   }
4243   PetscFunctionReturn(0);
4244 }
4245 
4246 #undef __FUNCT__
4247 #define __FUNCT__ "TSGetTolerances"
4248 /*@
4249    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4250 
4251    Logically Collective
4252 
4253    Input Arguments:
4254 .  ts - time integration context
4255 
4256    Output Arguments:
4257 +  atol - scalar absolute tolerances, NULL to ignore
4258 .  vatol - vector of absolute tolerances, NULL to ignore
4259 .  rtol - scalar relative tolerances, NULL to ignore
4260 -  vrtol - vector of relative tolerances, NULL to ignore
4261 
4262    Level: beginner
4263 
4264 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4265 @*/
4266 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4267 {
4268   PetscFunctionBegin;
4269   if (atol)  *atol  = ts->atol;
4270   if (vatol) *vatol = ts->vatol;
4271   if (rtol)  *rtol  = ts->rtol;
4272   if (vrtol) *vrtol = ts->vrtol;
4273   PetscFunctionReturn(0);
4274 }
4275 
4276 #undef __FUNCT__
4277 #define __FUNCT__ "TSErrorNormWRMS"
4278 /*@
4279    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4280 
4281    Collective on TS
4282 
4283    Input Arguments:
4284 +  ts - time stepping context
4285 -  Y - state vector to be compared to ts->vec_sol
4286 
4287    Output Arguments:
4288 .  norm - weighted norm, a value of 1.0 is considered small
4289 
4290    Level: developer
4291 
4292 .seealso: TSSetTolerances()
4293 @*/
4294 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4295 {
4296   PetscErrorCode    ierr;
4297   PetscInt          i,n,N;
4298   const PetscScalar *u,*y;
4299   Vec               U;
4300   PetscReal         sum,gsum;
4301 
4302   PetscFunctionBegin;
4303   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4304   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4305   PetscValidPointer(norm,3);
4306   U = ts->vec_sol;
4307   PetscCheckSameTypeAndComm(U,1,Y,2);
4308   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4309 
4310   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4311   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4312   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4313   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4314   sum  = 0.;
4315   if (ts->vatol && ts->vrtol) {
4316     const PetscScalar *atol,*rtol;
4317     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4318     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4319     for (i=0; i<n; i++) {
4320       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4321       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4322     }
4323     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4324     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4325   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4326     const PetscScalar *atol;
4327     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4328     for (i=0; i<n; i++) {
4329       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4330       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4331     }
4332     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4333   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4334     const PetscScalar *rtol;
4335     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4336     for (i=0; i<n; i++) {
4337       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4338       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4339     }
4340     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4341   } else {                      /* scalar atol, scalar rtol */
4342     for (i=0; i<n; i++) {
4343       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4344       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4345     }
4346   }
4347   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4348   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4349 
4350   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4351   *norm = PetscSqrtReal(gsum / N);
4352   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4353   PetscFunctionReturn(0);
4354 }
4355 
4356 #undef __FUNCT__
4357 #define __FUNCT__ "TSSetCFLTimeLocal"
4358 /*@
4359    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4360 
4361    Logically Collective on TS
4362 
4363    Input Arguments:
4364 +  ts - time stepping context
4365 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4366 
4367    Note:
4368    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4369 
4370    Level: intermediate
4371 
4372 .seealso: TSGetCFLTime(), TSADAPTCFL
4373 @*/
4374 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4375 {
4376   PetscFunctionBegin;
4377   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4378   ts->cfltime_local = cfltime;
4379   ts->cfltime       = -1.;
4380   PetscFunctionReturn(0);
4381 }
4382 
4383 #undef __FUNCT__
4384 #define __FUNCT__ "TSGetCFLTime"
4385 /*@
4386    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4387 
4388    Collective on TS
4389 
4390    Input Arguments:
4391 .  ts - time stepping context
4392 
4393    Output Arguments:
4394 .  cfltime - maximum stable time step for forward Euler
4395 
4396    Level: advanced
4397 
4398 .seealso: TSSetCFLTimeLocal()
4399 @*/
4400 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4401 {
4402   PetscErrorCode ierr;
4403 
4404   PetscFunctionBegin;
4405   if (ts->cfltime < 0) {
4406     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4407   }
4408   *cfltime = ts->cfltime;
4409   PetscFunctionReturn(0);
4410 }
4411 
4412 #undef __FUNCT__
4413 #define __FUNCT__ "TSVISetVariableBounds"
4414 /*@
4415    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4416 
4417    Input Parameters:
4418 .  ts   - the TS context.
4419 .  xl   - lower bound.
4420 .  xu   - upper bound.
4421 
4422    Notes:
4423    If this routine is not called then the lower and upper bounds are set to
4424    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
4425 
4426    Level: advanced
4427 
4428 @*/
4429 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
4430 {
4431   PetscErrorCode ierr;
4432   SNES           snes;
4433 
4434   PetscFunctionBegin;
4435   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4436   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
4437   PetscFunctionReturn(0);
4438 }
4439 
4440 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4441 #include <mex.h>
4442 
4443 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
4444 
4445 #undef __FUNCT__
4446 #define __FUNCT__ "TSComputeFunction_Matlab"
4447 /*
4448    TSComputeFunction_Matlab - Calls the function that has been set with
4449                          TSSetFunctionMatlab().
4450 
4451    Collective on TS
4452 
4453    Input Parameters:
4454 +  snes - the TS context
4455 -  u - input vector
4456 
4457    Output Parameter:
4458 .  y - function vector, as set by TSSetFunction()
4459 
4460    Notes:
4461    TSComputeFunction() is typically used within nonlinear solvers
4462    implementations, so most users would not generally call this routine
4463    themselves.
4464 
4465    Level: developer
4466 
4467 .keywords: TS, nonlinear, compute, function
4468 
4469 .seealso: TSSetFunction(), TSGetFunction()
4470 */
4471 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
4472 {
4473   PetscErrorCode  ierr;
4474   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4475   int             nlhs  = 1,nrhs = 7;
4476   mxArray         *plhs[1],*prhs[7];
4477   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
4478 
4479   PetscFunctionBegin;
4480   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
4481   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4482   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
4483   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
4484   PetscCheckSameComm(snes,1,u,3);
4485   PetscCheckSameComm(snes,1,y,5);
4486 
4487   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4488   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4489   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
4490   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
4491 
4492   prhs[0] =  mxCreateDoubleScalar((double)ls);
4493   prhs[1] =  mxCreateDoubleScalar(time);
4494   prhs[2] =  mxCreateDoubleScalar((double)lx);
4495   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4496   prhs[4] =  mxCreateDoubleScalar((double)ly);
4497   prhs[5] =  mxCreateString(sctx->funcname);
4498   prhs[6] =  sctx->ctx;
4499   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
4500   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4501   mxDestroyArray(prhs[0]);
4502   mxDestroyArray(prhs[1]);
4503   mxDestroyArray(prhs[2]);
4504   mxDestroyArray(prhs[3]);
4505   mxDestroyArray(prhs[4]);
4506   mxDestroyArray(prhs[5]);
4507   mxDestroyArray(plhs[0]);
4508   PetscFunctionReturn(0);
4509 }
4510 
4511 
4512 #undef __FUNCT__
4513 #define __FUNCT__ "TSSetFunctionMatlab"
4514 /*
4515    TSSetFunctionMatlab - Sets the function evaluation routine and function
4516    vector for use by the TS routines in solving ODEs
4517    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4518 
4519    Logically Collective on TS
4520 
4521    Input Parameters:
4522 +  ts - the TS context
4523 -  func - function evaluation routine
4524 
4525    Calling sequence of func:
4526 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
4527 
4528    Level: beginner
4529 
4530 .keywords: TS, nonlinear, set, function
4531 
4532 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4533 */
4534 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
4535 {
4536   PetscErrorCode  ierr;
4537   TSMatlabContext *sctx;
4538 
4539   PetscFunctionBegin;
4540   /* currently sctx is memory bleed */
4541   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4542   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4543   /*
4544      This should work, but it doesn't
4545   sctx->ctx = ctx;
4546   mexMakeArrayPersistent(sctx->ctx);
4547   */
4548   sctx->ctx = mxDuplicateArray(ctx);
4549 
4550   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4551   PetscFunctionReturn(0);
4552 }
4553 
4554 #undef __FUNCT__
4555 #define __FUNCT__ "TSComputeJacobian_Matlab"
4556 /*
4557    TSComputeJacobian_Matlab - Calls the function that has been set with
4558                          TSSetJacobianMatlab().
4559 
4560    Collective on TS
4561 
4562    Input Parameters:
4563 +  ts - the TS context
4564 .  u - input vector
4565 .  A, B - the matrices
4566 -  ctx - user context
4567 
4568    Output Parameter:
4569 .  flag - structure of the matrix
4570 
4571    Level: developer
4572 
4573 .keywords: TS, nonlinear, compute, function
4574 
4575 .seealso: TSSetFunction(), TSGetFunction()
4576 @*/
4577 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flag, void *ctx)
4578 {
4579   PetscErrorCode  ierr;
4580   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4581   int             nlhs  = 2,nrhs = 9;
4582   mxArray         *plhs[2],*prhs[9];
4583   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
4584 
4585   PetscFunctionBegin;
4586   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4587   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4588 
4589   /* call Matlab function in ctx with arguments u and y */
4590 
4591   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4592   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4593   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
4594   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
4595   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
4596 
4597   prhs[0] =  mxCreateDoubleScalar((double)ls);
4598   prhs[1] =  mxCreateDoubleScalar((double)time);
4599   prhs[2] =  mxCreateDoubleScalar((double)lx);
4600   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4601   prhs[4] =  mxCreateDoubleScalar((double)shift);
4602   prhs[5] =  mxCreateDoubleScalar((double)lA);
4603   prhs[6] =  mxCreateDoubleScalar((double)lB);
4604   prhs[7] =  mxCreateString(sctx->funcname);
4605   prhs[8] =  sctx->ctx;
4606   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
4607   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4608   *flag   =  (MatStructure) mxGetScalar(plhs[1]);CHKERRQ(ierr);
4609   mxDestroyArray(prhs[0]);
4610   mxDestroyArray(prhs[1]);
4611   mxDestroyArray(prhs[2]);
4612   mxDestroyArray(prhs[3]);
4613   mxDestroyArray(prhs[4]);
4614   mxDestroyArray(prhs[5]);
4615   mxDestroyArray(prhs[6]);
4616   mxDestroyArray(prhs[7]);
4617   mxDestroyArray(plhs[0]);
4618   mxDestroyArray(plhs[1]);
4619   PetscFunctionReturn(0);
4620 }
4621 
4622 
4623 #undef __FUNCT__
4624 #define __FUNCT__ "TSSetJacobianMatlab"
4625 /*
4626    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4627    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
4628 
4629    Logically Collective on TS
4630 
4631    Input Parameters:
4632 +  ts - the TS context
4633 .  A,B - Jacobian matrices
4634 .  func - function evaluation routine
4635 -  ctx - user context
4636 
4637    Calling sequence of func:
4638 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
4639 
4640 
4641    Level: developer
4642 
4643 .keywords: TS, nonlinear, set, function
4644 
4645 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4646 */
4647 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
4648 {
4649   PetscErrorCode  ierr;
4650   TSMatlabContext *sctx;
4651 
4652   PetscFunctionBegin;
4653   /* currently sctx is memory bleed */
4654   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4655   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4656   /*
4657      This should work, but it doesn't
4658   sctx->ctx = ctx;
4659   mexMakeArrayPersistent(sctx->ctx);
4660   */
4661   sctx->ctx = mxDuplicateArray(ctx);
4662 
4663   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4664   PetscFunctionReturn(0);
4665 }
4666 
4667 #undef __FUNCT__
4668 #define __FUNCT__ "TSMonitor_Matlab"
4669 /*
4670    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
4671 
4672    Collective on TS
4673 
4674 .seealso: TSSetFunction(), TSGetFunction()
4675 @*/
4676 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
4677 {
4678   PetscErrorCode  ierr;
4679   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4680   int             nlhs  = 1,nrhs = 6;
4681   mxArray         *plhs[1],*prhs[6];
4682   long long int   lx = 0,ls = 0;
4683 
4684   PetscFunctionBegin;
4685   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4686   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4687 
4688   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4689   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4690 
4691   prhs[0] =  mxCreateDoubleScalar((double)ls);
4692   prhs[1] =  mxCreateDoubleScalar((double)it);
4693   prhs[2] =  mxCreateDoubleScalar((double)time);
4694   prhs[3] =  mxCreateDoubleScalar((double)lx);
4695   prhs[4] =  mxCreateString(sctx->funcname);
4696   prhs[5] =  sctx->ctx;
4697   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
4698   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4699   mxDestroyArray(prhs[0]);
4700   mxDestroyArray(prhs[1]);
4701   mxDestroyArray(prhs[2]);
4702   mxDestroyArray(prhs[3]);
4703   mxDestroyArray(prhs[4]);
4704   mxDestroyArray(plhs[0]);
4705   PetscFunctionReturn(0);
4706 }
4707 
4708 
4709 #undef __FUNCT__
4710 #define __FUNCT__ "TSMonitorSetMatlab"
4711 /*
4712    TSMonitorSetMatlab - Sets the monitor function from Matlab
4713 
4714    Level: developer
4715 
4716 .keywords: TS, nonlinear, set, function
4717 
4718 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4719 */
4720 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
4721 {
4722   PetscErrorCode  ierr;
4723   TSMatlabContext *sctx;
4724 
4725   PetscFunctionBegin;
4726   /* currently sctx is memory bleed */
4727   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4728   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4729   /*
4730      This should work, but it doesn't
4731   sctx->ctx = ctx;
4732   mexMakeArrayPersistent(sctx->ctx);
4733   */
4734   sctx->ctx = mxDuplicateArray(ctx);
4735 
4736   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
4737   PetscFunctionReturn(0);
4738 }
4739 #endif
4740 
4741 
4742 
4743 #undef __FUNCT__
4744 #define __FUNCT__ "TSMonitorLGSolution"
4745 /*@C
4746    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
4747        in a time based line graph
4748 
4749    Collective on TS
4750 
4751    Input Parameters:
4752 +  ts - the TS context
4753 .  step - current time-step
4754 .  ptime - current time
4755 -  lg - a line graph object
4756 
4757    Level: intermediate
4758 
4759     Notes: each process in a parallel run displays its component solutions in a separate window
4760 
4761 .keywords: TS,  vector, monitor, view
4762 
4763 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4764 @*/
4765 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4766 {
4767   PetscErrorCode    ierr;
4768   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4769   const PetscScalar *yy;
4770   PetscInt          dim;
4771 
4772   PetscFunctionBegin;
4773   if (!step) {
4774     PetscDrawAxis axis;
4775     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4776     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
4777     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4778     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4779     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4780   }
4781   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
4782 #if defined(PETSC_USE_COMPLEX)
4783   {
4784     PetscReal *yreal;
4785     PetscInt  i,n;
4786     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
4787     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4788     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4789     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4790     ierr = PetscFree(yreal);CHKERRQ(ierr);
4791   }
4792 #else
4793   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4794 #endif
4795   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
4796   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4797     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4798   }
4799   PetscFunctionReturn(0);
4800 }
4801 
4802 #undef __FUNCT__
4803 #define __FUNCT__ "TSMonitorLGError"
4804 /*@C
4805    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
4806        in a time based line graph
4807 
4808    Collective on TS
4809 
4810    Input Parameters:
4811 +  ts - the TS context
4812 .  step - current time-step
4813 .  ptime - current time
4814 -  lg - a line graph object
4815 
4816    Level: intermediate
4817 
4818    Notes:
4819    Only for sequential solves.
4820 
4821    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
4822 
4823    Options Database Keys:
4824 .  -ts_monitor_lg_error - create a graphical monitor of error history
4825 
4826 .keywords: TS,  vector, monitor, view
4827 
4828 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
4829 @*/
4830 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4831 {
4832   PetscErrorCode    ierr;
4833   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4834   const PetscScalar *yy;
4835   Vec               y;
4836   PetscInt          dim;
4837 
4838   PetscFunctionBegin;
4839   if (!step) {
4840     PetscDrawAxis axis;
4841     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4842     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
4843     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4844     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4845     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4846   }
4847   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
4848   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
4849   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
4850   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
4851 #if defined(PETSC_USE_COMPLEX)
4852   {
4853     PetscReal *yreal;
4854     PetscInt  i,n;
4855     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
4856     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4857     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4858     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4859     ierr = PetscFree(yreal);CHKERRQ(ierr);
4860   }
4861 #else
4862   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4863 #endif
4864   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
4865   ierr = VecDestroy(&y);CHKERRQ(ierr);
4866   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4867     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4868   }
4869   PetscFunctionReturn(0);
4870 }
4871 
4872 #undef __FUNCT__
4873 #define __FUNCT__ "TSMonitorLGSNESIterations"
4874 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4875 {
4876   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4877   PetscReal      x   = ptime,y;
4878   PetscErrorCode ierr;
4879   PetscInt       its;
4880 
4881   PetscFunctionBegin;
4882   if (!n) {
4883     PetscDrawAxis axis;
4884 
4885     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4886     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
4887     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4888 
4889     ctx->snes_its = 0;
4890   }
4891   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
4892   y    = its - ctx->snes_its;
4893   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4894   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4895     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4896   }
4897   ctx->snes_its = its;
4898   PetscFunctionReturn(0);
4899 }
4900 
4901 #undef __FUNCT__
4902 #define __FUNCT__ "TSMonitorLGKSPIterations"
4903 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4904 {
4905   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4906   PetscReal      x   = ptime,y;
4907   PetscErrorCode ierr;
4908   PetscInt       its;
4909 
4910   PetscFunctionBegin;
4911   if (!n) {
4912     PetscDrawAxis axis;
4913 
4914     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4915     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
4916     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4917 
4918     ctx->ksp_its = 0;
4919   }
4920   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
4921   y    = its - ctx->ksp_its;
4922   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4923   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4924     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4925   }
4926   ctx->ksp_its = its;
4927   PetscFunctionReturn(0);
4928 }
4929 
4930 #undef __FUNCT__
4931 #define __FUNCT__ "TSComputeLinearStability"
4932 /*@
4933    TSComputeLinearStability - computes the linear stability function at a point
4934 
4935    Collective on TS and Vec
4936 
4937    Input Parameters:
4938 +  ts - the TS context
4939 -  xr,xi - real and imaginary part of input arguments
4940 
4941    Output Parameters:
4942 .  yr,yi - real and imaginary part of function value
4943 
4944    Level: developer
4945 
4946 .keywords: TS, compute
4947 
4948 .seealso: TSSetRHSFunction(), TSComputeIFunction()
4949 @*/
4950 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
4951 {
4952   PetscErrorCode ierr;
4953 
4954   PetscFunctionBegin;
4955   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4956   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
4957   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
4958   PetscFunctionReturn(0);
4959 }
4960