xref: /petsc/src/ts/interface/ts.c (revision 0c8c14c502e79aaeb7ec26e1cd1e476322d9010e)
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)
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     PetscFunctionReturn(0);
395   }
396 
397   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
398 
399   if (ts->rhsjacobian.reuse) {
400     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
401     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
402     if (A != B) {
403       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
404       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
405     }
406     ts->rhsjacobian.shift = 0;
407     ts->rhsjacobian.scale = 1.;
408   }
409 
410   if (rhsjacobianfunc) {
411     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
412     PetscStackPush("TS user Jacobian function");
413     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
414     PetscStackPop;
415     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
416     /* make sure user returned a correct Jacobian and preconditioner */
417     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
418     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
419   } else {
420     ierr = MatZeroEntries(A);CHKERRQ(ierr);
421     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
422   }
423   ts->rhsjacobian.time       = t;
424   ts->rhsjacobian.X          = U;
425   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
426   PetscFunctionReturn(0);
427 }
428 
429 #undef __FUNCT__
430 #define __FUNCT__ "TSComputeRHSFunction"
431 /*@
432    TSComputeRHSFunction - Evaluates the right-hand-side function.
433 
434    Collective on TS and Vec
435 
436    Input Parameters:
437 +  ts - the TS context
438 .  t - current time
439 -  U - state vector
440 
441    Output Parameter:
442 .  y - right hand side
443 
444    Note:
445    Most users should not need to explicitly call this routine, as it
446    is used internally within the nonlinear solvers.
447 
448    Level: developer
449 
450 .keywords: TS, compute
451 
452 .seealso: TSSetRHSFunction(), TSComputeIFunction()
453 @*/
454 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
455 {
456   PetscErrorCode ierr;
457   TSRHSFunction  rhsfunction;
458   TSIFunction    ifunction;
459   void           *ctx;
460   DM             dm;
461 
462   PetscFunctionBegin;
463   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
464   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
465   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
466   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
467   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
468   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
469 
470   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
471 
472   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
473   if (rhsfunction) {
474     PetscStackPush("TS user right-hand-side function");
475     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
476     PetscStackPop;
477   } else {
478     ierr = VecZeroEntries(y);CHKERRQ(ierr);
479   }
480 
481   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
482   PetscFunctionReturn(0);
483 }
484 
485 #undef __FUNCT__
486 #define __FUNCT__ "TSComputeSolutionFunction"
487 /*@
488    TSComputeSolutionFunction - Evaluates the solution function.
489 
490    Collective on TS and Vec
491 
492    Input Parameters:
493 +  ts - the TS context
494 -  t - current time
495 
496    Output Parameter:
497 .  U - the solution
498 
499    Note:
500    Most users should not need to explicitly call this routine, as it
501    is used internally within the nonlinear solvers.
502 
503    Level: developer
504 
505 .keywords: TS, compute
506 
507 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
508 @*/
509 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
510 {
511   PetscErrorCode     ierr;
512   TSSolutionFunction solutionfunction;
513   void               *ctx;
514   DM                 dm;
515 
516   PetscFunctionBegin;
517   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
518   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
519   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
520   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
521 
522   if (solutionfunction) {
523     PetscStackPush("TS user solution function");
524     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
525     PetscStackPop;
526   }
527   PetscFunctionReturn(0);
528 }
529 #undef __FUNCT__
530 #define __FUNCT__ "TSComputeForcingFunction"
531 /*@
532    TSComputeForcingFunction - Evaluates the forcing function.
533 
534    Collective on TS and Vec
535 
536    Input Parameters:
537 +  ts - the TS context
538 -  t - current time
539 
540    Output Parameter:
541 .  U - the function value
542 
543    Note:
544    Most users should not need to explicitly call this routine, as it
545    is used internally within the nonlinear solvers.
546 
547    Level: developer
548 
549 .keywords: TS, compute
550 
551 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
552 @*/
553 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
554 {
555   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
556   void               *ctx;
557   DM                 dm;
558 
559   PetscFunctionBegin;
560   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
561   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
562   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
563   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
564 
565   if (forcing) {
566     PetscStackPush("TS user forcing function");
567     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
568     PetscStackPop;
569   }
570   PetscFunctionReturn(0);
571 }
572 
573 #undef __FUNCT__
574 #define __FUNCT__ "TSGetRHSVec_Private"
575 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
576 {
577   Vec            F;
578   PetscErrorCode ierr;
579 
580   PetscFunctionBegin;
581   *Frhs = NULL;
582   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
583   if (!ts->Frhs) {
584     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
585   }
586   *Frhs = ts->Frhs;
587   PetscFunctionReturn(0);
588 }
589 
590 #undef __FUNCT__
591 #define __FUNCT__ "TSGetRHSMats_Private"
592 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
593 {
594   Mat            A,B;
595   PetscErrorCode ierr;
596 
597   PetscFunctionBegin;
598   if (Arhs) *Arhs = NULL;
599   if (Brhs) *Brhs = NULL;
600   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
601   if (Arhs) {
602     if (!ts->Arhs) {
603       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
604     }
605     *Arhs = ts->Arhs;
606   }
607   if (Brhs) {
608     if (!ts->Brhs) {
609       if (A != B) {
610         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
611       } else {
612         ts->Brhs = ts->Arhs;
613         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
614       }
615     }
616     *Brhs = ts->Brhs;
617   }
618   PetscFunctionReturn(0);
619 }
620 
621 #undef __FUNCT__
622 #define __FUNCT__ "TSComputeIFunction"
623 /*@
624    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
625 
626    Collective on TS and Vec
627 
628    Input Parameters:
629 +  ts - the TS context
630 .  t - current time
631 .  U - state vector
632 .  Udot - time derivative of state vector
633 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
634 
635    Output Parameter:
636 .  Y - right hand side
637 
638    Note:
639    Most users should not need to explicitly call this routine, as it
640    is used internally within the nonlinear solvers.
641 
642    If the user did did not write their equations in implicit form, this
643    function recasts them in implicit form.
644 
645    Level: developer
646 
647 .keywords: TS, compute
648 
649 .seealso: TSSetIFunction(), TSComputeRHSFunction()
650 @*/
651 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
652 {
653   PetscErrorCode ierr;
654   TSIFunction    ifunction;
655   TSRHSFunction  rhsfunction;
656   void           *ctx;
657   DM             dm;
658 
659   PetscFunctionBegin;
660   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
661   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
662   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
663   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
664 
665   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
666   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
667   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
668 
669   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
670 
671   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
672   if (ifunction) {
673     PetscStackPush("TS user implicit function");
674     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
675     PetscStackPop;
676   }
677   if (imex) {
678     if (!ifunction) {
679       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
680     }
681   } else if (rhsfunction) {
682     if (ifunction) {
683       Vec Frhs;
684       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
685       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
686       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
687     } else {
688       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
689       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
690     }
691   }
692   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
693   PetscFunctionReturn(0);
694 }
695 
696 #undef __FUNCT__
697 #define __FUNCT__ "TSComputeIJacobian"
698 /*@
699    TSComputeIJacobian - Evaluates the Jacobian of the DAE
700 
701    Collective on TS and Vec
702 
703    Input
704       Input Parameters:
705 +  ts - the TS context
706 .  t - current timestep
707 .  U - state vector
708 .  Udot - time derivative of state vector
709 .  shift - shift to apply, see note below
710 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
711 
712    Output Parameters:
713 +  A - Jacobian matrix
714 .  B - optional preconditioning matrix
715 -  flag - flag indicating matrix structure
716 
717    Notes:
718    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
719 
720    dF/dU + shift*dF/dUdot
721 
722    Most users should not need to explicitly call this routine, as it
723    is used internally within the nonlinear solvers.
724 
725    Level: developer
726 
727 .keywords: TS, compute, Jacobian, matrix
728 
729 .seealso:  TSSetIJacobian()
730 @*/
731 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
732 {
733   PetscErrorCode ierr;
734   TSIJacobian    ijacobian;
735   TSRHSJacobian  rhsjacobian;
736   DM             dm;
737   void           *ctx;
738 
739   PetscFunctionBegin;
740   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
741   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
742   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
743   PetscValidPointer(A,6);
744   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
745   PetscValidPointer(B,7);
746   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
747 
748   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
749   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
750   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
751 
752   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
753 
754   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
755   if (ijacobian) {
756     PetscStackPush("TS user implicit Jacobian");
757     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
758     PetscStackPop;
759     /* make sure user returned a correct Jacobian and preconditioner */
760     PetscValidHeaderSpecific(A,MAT_CLASSID,4);
761     PetscValidHeaderSpecific(B,MAT_CLASSID,5);
762   }
763   if (imex) {
764     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
765       ierr = MatZeroEntries(A);CHKERRQ(ierr);
766       ierr = MatShift(A,shift);CHKERRQ(ierr);
767       if (A != B) {
768         ierr = MatZeroEntries(B);CHKERRQ(ierr);
769         ierr = MatShift(B,shift);CHKERRQ(ierr);
770       }
771     }
772   } else {
773     Mat Arhs = NULL,Brhs = NULL;
774     if (rhsjacobian) {
775       if (ijacobian) {
776         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
777       } else {
778         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
779       }
780       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
781     }
782     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
783       ts->rhsjacobian.scale = -1;
784       ts->rhsjacobian.shift = shift;
785       ierr = MatScale(A,-1);CHKERRQ(ierr);
786       ierr = MatShift(A,shift);CHKERRQ(ierr);
787       if (A != B) {
788         ierr = MatScale(B,-1);CHKERRQ(ierr);
789         ierr = MatShift(B,shift);CHKERRQ(ierr);
790       }
791     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
792       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
793       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
794         ierr = MatZeroEntries(A);CHKERRQ(ierr);
795         ierr = MatShift(A,shift);CHKERRQ(ierr);
796         if (A != B) {
797           ierr = MatZeroEntries(B);CHKERRQ(ierr);
798           ierr = MatShift(B,shift);CHKERRQ(ierr);
799         }
800       }
801       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
802       if (A != B) {
803         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
804       }
805     }
806   }
807   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
808   PetscFunctionReturn(0);
809 }
810 
811 #undef __FUNCT__
812 #define __FUNCT__ "TSSetRHSFunction"
813 /*@C
814     TSSetRHSFunction - Sets the routine for evaluating the function,
815     where U_t = G(t,u).
816 
817     Logically Collective on TS
818 
819     Input Parameters:
820 +   ts - the TS context obtained from TSCreate()
821 .   r - vector to put the computed right hand side (or NULL to have it created)
822 .   f - routine for evaluating the right-hand-side function
823 -   ctx - [optional] user-defined context for private data for the
824           function evaluation routine (may be NULL)
825 
826     Calling sequence of func:
827 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
828 
829 +   t - current timestep
830 .   u - input vector
831 .   F - function vector
832 -   ctx - [optional] user-defined function context
833 
834     Level: beginner
835 
836 .keywords: TS, timestep, set, right-hand-side, function
837 
838 .seealso: TSSetRHSJacobian(), TSSetIJacobian()
839 @*/
840 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
841 {
842   PetscErrorCode ierr;
843   SNES           snes;
844   Vec            ralloc = NULL;
845   DM             dm;
846 
847   PetscFunctionBegin;
848   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
849   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
850 
851   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
852   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
853   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
854   if (!r && !ts->dm && ts->vec_sol) {
855     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
856     r    = ralloc;
857   }
858   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
859   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
860   PetscFunctionReturn(0);
861 }
862 
863 #undef __FUNCT__
864 #define __FUNCT__ "TSSetSolutionFunction"
865 /*@C
866     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
867 
868     Logically Collective on TS
869 
870     Input Parameters:
871 +   ts - the TS context obtained from TSCreate()
872 .   f - routine for evaluating the solution
873 -   ctx - [optional] user-defined context for private data for the
874           function evaluation routine (may be NULL)
875 
876     Calling sequence of func:
877 $     func (TS ts,PetscReal t,Vec u,void *ctx);
878 
879 +   t - current timestep
880 .   u - output vector
881 -   ctx - [optional] user-defined function context
882 
883     Notes:
884     This routine is used for testing accuracy of time integration schemes when you already know the solution.
885     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
886     create closed-form solutions with non-physical forcing terms.
887 
888     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
889 
890     Level: beginner
891 
892 .keywords: TS, timestep, set, right-hand-side, function
893 
894 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
895 @*/
896 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
897 {
898   PetscErrorCode ierr;
899   DM             dm;
900 
901   PetscFunctionBegin;
902   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
903   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
904   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
905   PetscFunctionReturn(0);
906 }
907 
908 #undef __FUNCT__
909 #define __FUNCT__ "TSSetForcingFunction"
910 /*@C
911     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
912 
913     Logically Collective on TS
914 
915     Input Parameters:
916 +   ts - the TS context obtained from TSCreate()
917 .   f - routine for evaluating the forcing function
918 -   ctx - [optional] user-defined context for private data for the
919           function evaluation routine (may be NULL)
920 
921     Calling sequence of func:
922 $     func (TS ts,PetscReal t,Vec u,void *ctx);
923 
924 +   t - current timestep
925 .   u - output vector
926 -   ctx - [optional] user-defined function context
927 
928     Notes:
929     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
930     create closed-form solutions with a non-physical forcing term.
931 
932     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
933 
934     Level: beginner
935 
936 .keywords: TS, timestep, set, right-hand-side, function
937 
938 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
939 @*/
940 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
941 {
942   PetscErrorCode ierr;
943   DM             dm;
944 
945   PetscFunctionBegin;
946   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
947   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
948   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
949   PetscFunctionReturn(0);
950 }
951 
952 #undef __FUNCT__
953 #define __FUNCT__ "TSSetRHSJacobian"
954 /*@C
955    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
956    where U_t = G(U,t), as well as the location to store the matrix.
957 
958    Logically Collective on TS
959 
960    Input Parameters:
961 +  ts  - the TS context obtained from TSCreate()
962 .  Amat - (approximate) Jacobian matrix
963 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
964 .  f   - the Jacobian evaluation routine
965 -  ctx - [optional] user-defined context for private data for the
966          Jacobian evaluation routine (may be NULL)
967 
968    Calling sequence of func:
969 $     func (TS ts,PetscReal t,Vec u,Mat *A,Mat *B,MatStructure *flag,void *ctx);
970 
971 +  t - current timestep
972 .  u - input vector
973 .  Amat - (approximate) Jacobian matrix
974 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
975 .  flag - flag indicating information about the preconditioner matrix
976           structure (same as flag in KSPSetOperators())
977 -  ctx - [optional] user-defined context for matrix evaluation routine
978 
979    Notes:
980    See KSPSetOperators() for important information about setting the flag
981    output parameter in the routine func().  Be sure to read this information!
982 
983    The routine func() takes Mat * as the matrix arguments rather than Mat.
984    This allows the matrix evaluation routine to replace A and/or B with a
985    completely new matrix structure (not just different matrix elements)
986    when appropriate, for instance, if the nonzero structure is changing
987    throughout the global iterations.
988 
989    Level: beginner
990 
991 .keywords: TS, timestep, set, right-hand-side, Jacobian
992 
993 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse()
994 
995 @*/
996 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
997 {
998   PetscErrorCode ierr;
999   SNES           snes;
1000   DM             dm;
1001   TSIJacobian    ijacobian;
1002 
1003   PetscFunctionBegin;
1004   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1005   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1006   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1007   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1008   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1009 
1010   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1011   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1012   if (f == TSComputeRHSJacobianConstant) {
1013     /* Handle this case automatically for the user; otherwise user should call themselves. */
1014     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1015   }
1016   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1017   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1018   if (!ijacobian) {
1019     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1020   }
1021   if (Amat) {
1022     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1023     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1024 
1025     ts->Arhs = Amat;
1026   }
1027   if (Pmat) {
1028     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1029     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1030 
1031     ts->Brhs = Pmat;
1032   }
1033   PetscFunctionReturn(0);
1034 }
1035 
1036 
1037 #undef __FUNCT__
1038 #define __FUNCT__ "TSSetIFunction"
1039 /*@C
1040    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1041 
1042    Logically Collective on TS
1043 
1044    Input Parameters:
1045 +  ts  - the TS context obtained from TSCreate()
1046 .  r   - vector to hold the residual (or NULL to have it created internally)
1047 .  f   - the function evaluation routine
1048 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1049 
1050    Calling sequence of f:
1051 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1052 
1053 +  t   - time at step/stage being solved
1054 .  u   - state vector
1055 .  u_t - time derivative of state vector
1056 .  F   - function vector
1057 -  ctx - [optional] user-defined context for matrix evaluation routine
1058 
1059    Important:
1060    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1061 
1062    Level: beginner
1063 
1064 .keywords: TS, timestep, set, DAE, Jacobian
1065 
1066 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1067 @*/
1068 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1069 {
1070   PetscErrorCode ierr;
1071   SNES           snes;
1072   Vec            resalloc = NULL;
1073   DM             dm;
1074 
1075   PetscFunctionBegin;
1076   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1077   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1078 
1079   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1080   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1081 
1082   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1083   if (!res && !ts->dm && ts->vec_sol) {
1084     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1085     res  = resalloc;
1086   }
1087   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1088   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1089   PetscFunctionReturn(0);
1090 }
1091 
1092 #undef __FUNCT__
1093 #define __FUNCT__ "TSGetIFunction"
1094 /*@C
1095    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1096 
1097    Not Collective
1098 
1099    Input Parameter:
1100 .  ts - the TS context
1101 
1102    Output Parameter:
1103 +  r - vector to hold residual (or NULL)
1104 .  func - the function to compute residual (or NULL)
1105 -  ctx - the function context (or NULL)
1106 
1107    Level: advanced
1108 
1109 .keywords: TS, nonlinear, get, function
1110 
1111 .seealso: TSSetIFunction(), SNESGetFunction()
1112 @*/
1113 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1114 {
1115   PetscErrorCode ierr;
1116   SNES           snes;
1117   DM             dm;
1118 
1119   PetscFunctionBegin;
1120   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1121   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1122   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1123   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1124   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1125   PetscFunctionReturn(0);
1126 }
1127 
1128 #undef __FUNCT__
1129 #define __FUNCT__ "TSGetRHSFunction"
1130 /*@C
1131    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1132 
1133    Not Collective
1134 
1135    Input Parameter:
1136 .  ts - the TS context
1137 
1138    Output Parameter:
1139 +  r - vector to hold computed right hand side (or NULL)
1140 .  func - the function to compute right hand side (or NULL)
1141 -  ctx - the function context (or NULL)
1142 
1143    Level: advanced
1144 
1145 .keywords: TS, nonlinear, get, function
1146 
1147 .seealso: TSSetRhsfunction(), SNESGetFunction()
1148 @*/
1149 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1150 {
1151   PetscErrorCode ierr;
1152   SNES           snes;
1153   DM             dm;
1154 
1155   PetscFunctionBegin;
1156   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1157   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1158   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1159   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1160   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1161   PetscFunctionReturn(0);
1162 }
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "TSSetIJacobian"
1166 /*@C
1167    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1168         you provided with TSSetIFunction().
1169 
1170    Logically Collective on TS
1171 
1172    Input Parameters:
1173 +  ts  - the TS context obtained from TSCreate()
1174 .  Amat - (approximate) Jacobian matrix
1175 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1176 .  f   - the Jacobian evaluation routine
1177 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1178 
1179    Calling sequence of f:
1180 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat *Amat,Mat *Pmat,MatStructure *flag,void *ctx);
1181 
1182 +  t    - time at step/stage being solved
1183 .  U    - state vector
1184 .  U_t  - time derivative of state vector
1185 .  a    - shift
1186 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1187 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1188 .  flag - flag indicating information about the preconditioner matrix
1189           structure (same as flag in KSPSetOperators())
1190 -  ctx  - [optional] user-defined context for matrix evaluation routine
1191 
1192    Notes:
1193    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1194 
1195    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1196    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1197    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1198    a and vector W depend on the integration method, step size, and past states. For example with
1199    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1200    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1201 
1202    Level: beginner
1203 
1204 .keywords: TS, timestep, DAE, Jacobian
1205 
1206 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault()
1207 
1208 @*/
1209 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1210 {
1211   PetscErrorCode ierr;
1212   SNES           snes;
1213   DM             dm;
1214 
1215   PetscFunctionBegin;
1216   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1217   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1218   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1219   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1220   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1221 
1222   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1223   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1224 
1225   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1226   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1227   PetscFunctionReturn(0);
1228 }
1229 
1230 #undef __FUNCT__
1231 #define __FUNCT__ "TSRHSJacobianSetReuse"
1232 /*@
1233    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1234    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1235    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1236    not been changed by the TS.
1237 
1238    Logically Collective
1239 
1240    Input Arguments:
1241 +  ts - TS context obtained from TSCreate()
1242 -  reuse - PETSC_TRUE if the RHS Jacobian
1243 
1244    Level: intermediate
1245 
1246 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1247 @*/
1248 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1249 {
1250   PetscFunctionBegin;
1251   ts->rhsjacobian.reuse = reuse;
1252   PetscFunctionReturn(0);
1253 }
1254 
1255 #undef __FUNCT__
1256 #define __FUNCT__ "TSLoad"
1257 /*@C
1258   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1259 
1260   Collective on PetscViewer
1261 
1262   Input Parameters:
1263 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1264            some related function before a call to TSLoad().
1265 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1266 
1267    Level: intermediate
1268 
1269   Notes:
1270    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1271 
1272   Notes for advanced users:
1273   Most users should not need to know the details of the binary storage
1274   format, since TSLoad() and TSView() completely hide these details.
1275   But for anyone who's interested, the standard binary matrix storage
1276   format is
1277 .vb
1278      has not yet been determined
1279 .ve
1280 
1281 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1282 @*/
1283 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1284 {
1285   PetscErrorCode ierr;
1286   PetscBool      isbinary;
1287   PetscInt       classid;
1288   char           type[256];
1289   DMTS           sdm;
1290   DM             dm;
1291 
1292   PetscFunctionBegin;
1293   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1294   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1295   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1296   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1297 
1298   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1299   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1300   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1301   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1302   if (ts->ops->load) {
1303     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1304   }
1305   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1306   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1307   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1308   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1309   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1310   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1311   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1312   PetscFunctionReturn(0);
1313 }
1314 
1315 #include <petscdraw.h>
1316 #if defined(PETSC_HAVE_SAWS)
1317 #include <petscviewersaws.h>
1318 #endif
1319 #undef __FUNCT__
1320 #define __FUNCT__ "TSView"
1321 /*@C
1322     TSView - Prints the TS data structure.
1323 
1324     Collective on TS
1325 
1326     Input Parameters:
1327 +   ts - the TS context obtained from TSCreate()
1328 -   viewer - visualization context
1329 
1330     Options Database Key:
1331 .   -ts_view - calls TSView() at end of TSStep()
1332 
1333     Notes:
1334     The available visualization contexts include
1335 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1336 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1337          output where only the first processor opens
1338          the file.  All other processors send their
1339          data to the first processor to print.
1340 
1341     The user can open an alternative visualization context with
1342     PetscViewerASCIIOpen() - output to a specified file.
1343 
1344     Level: beginner
1345 
1346 .keywords: TS, timestep, view
1347 
1348 .seealso: PetscViewerASCIIOpen()
1349 @*/
1350 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1351 {
1352   PetscErrorCode ierr;
1353   TSType         type;
1354   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1355   DMTS           sdm;
1356 #if defined(PETSC_HAVE_SAWS)
1357   PetscBool      isams;
1358 #endif
1359 
1360   PetscFunctionBegin;
1361   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1362   if (!viewer) {
1363     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1364   }
1365   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1366   PetscCheckSameComm(ts,1,viewer,2);
1367 
1368   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1369   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1370   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1371   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1372 #if defined(PETSC_HAVE_SAWS)
1373   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&isams);CHKERRQ(ierr);
1374 #endif
1375   if (iascii) {
1376     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1377     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1378     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1379     if (ts->problem_type == TS_NONLINEAR) {
1380       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1381       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1382     }
1383     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1384     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1385     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1386     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1387     if (ts->ops->view) {
1388       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1389       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1390       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1391     }
1392   } else if (isstring) {
1393     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1394     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1395   } else if (isbinary) {
1396     PetscInt    classid = TS_FILE_CLASSID;
1397     MPI_Comm    comm;
1398     PetscMPIInt rank;
1399     char        type[256];
1400 
1401     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1402     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1403     if (!rank) {
1404       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1405       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1406       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1407     }
1408     if (ts->ops->view) {
1409       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1410     }
1411     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1412     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1413     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1414     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1415   } else if (isdraw) {
1416     PetscDraw draw;
1417     char      str[36];
1418     PetscReal x,y,bottom,h;
1419 
1420     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1421     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1422     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1423     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1424     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1425     bottom = y - h;
1426     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1427     if (ts->ops->view) {
1428       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1429     }
1430     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1431 #if defined(PETSC_HAVE_SAWS)
1432   } else if (isams) {
1433     PetscMPIInt rank;
1434     const char  *name;
1435 
1436     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1437     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1438     if (!((PetscObject)ts)->amsmem && !rank) {
1439       char       dir[1024];
1440 
1441       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1442       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1443       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1444       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1445       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1446     }
1447     if (ts->ops->view) {
1448       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1449     }
1450 #endif
1451   }
1452 
1453   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1454   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1455   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1456   PetscFunctionReturn(0);
1457 }
1458 
1459 
1460 #undef __FUNCT__
1461 #define __FUNCT__ "TSSetApplicationContext"
1462 /*@
1463    TSSetApplicationContext - Sets an optional user-defined context for
1464    the timesteppers.
1465 
1466    Logically Collective on TS
1467 
1468    Input Parameters:
1469 +  ts - the TS context obtained from TSCreate()
1470 -  usrP - optional user context
1471 
1472    Level: intermediate
1473 
1474 .keywords: TS, timestep, set, application, context
1475 
1476 .seealso: TSGetApplicationContext()
1477 @*/
1478 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1479 {
1480   PetscFunctionBegin;
1481   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1482   ts->user = usrP;
1483   PetscFunctionReturn(0);
1484 }
1485 
1486 #undef __FUNCT__
1487 #define __FUNCT__ "TSGetApplicationContext"
1488 /*@
1489     TSGetApplicationContext - Gets the user-defined context for the
1490     timestepper.
1491 
1492     Not Collective
1493 
1494     Input Parameter:
1495 .   ts - the TS context obtained from TSCreate()
1496 
1497     Output Parameter:
1498 .   usrP - user context
1499 
1500     Level: intermediate
1501 
1502 .keywords: TS, timestep, get, application, context
1503 
1504 .seealso: TSSetApplicationContext()
1505 @*/
1506 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1507 {
1508   PetscFunctionBegin;
1509   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1510   *(void**)usrP = ts->user;
1511   PetscFunctionReturn(0);
1512 }
1513 
1514 #undef __FUNCT__
1515 #define __FUNCT__ "TSGetTimeStepNumber"
1516 /*@
1517    TSGetTimeStepNumber - Gets the number of time steps completed.
1518 
1519    Not Collective
1520 
1521    Input Parameter:
1522 .  ts - the TS context obtained from TSCreate()
1523 
1524    Output Parameter:
1525 .  iter - number of steps completed so far
1526 
1527    Level: intermediate
1528 
1529 .keywords: TS, timestep, get, iteration, number
1530 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1531 @*/
1532 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1533 {
1534   PetscFunctionBegin;
1535   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1536   PetscValidIntPointer(iter,2);
1537   *iter = ts->steps;
1538   PetscFunctionReturn(0);
1539 }
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "TSSetInitialTimeStep"
1543 /*@
1544    TSSetInitialTimeStep - Sets the initial timestep to be used,
1545    as well as the initial time.
1546 
1547    Logically Collective on TS
1548 
1549    Input Parameters:
1550 +  ts - the TS context obtained from TSCreate()
1551 .  initial_time - the initial time
1552 -  time_step - the size of the timestep
1553 
1554    Level: intermediate
1555 
1556 .seealso: TSSetTimeStep(), TSGetTimeStep()
1557 
1558 .keywords: TS, set, initial, timestep
1559 @*/
1560 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1561 {
1562   PetscErrorCode ierr;
1563 
1564   PetscFunctionBegin;
1565   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1566   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1567   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1568   PetscFunctionReturn(0);
1569 }
1570 
1571 #undef __FUNCT__
1572 #define __FUNCT__ "TSSetTimeStep"
1573 /*@
1574    TSSetTimeStep - Allows one to reset the timestep at any time,
1575    useful for simple pseudo-timestepping codes.
1576 
1577    Logically Collective on TS
1578 
1579    Input Parameters:
1580 +  ts - the TS context obtained from TSCreate()
1581 -  time_step - the size of the timestep
1582 
1583    Level: intermediate
1584 
1585 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1586 
1587 .keywords: TS, set, timestep
1588 @*/
1589 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1590 {
1591   PetscFunctionBegin;
1592   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1593   PetscValidLogicalCollectiveReal(ts,time_step,2);
1594   ts->time_step      = time_step;
1595   ts->time_step_orig = time_step;
1596   PetscFunctionReturn(0);
1597 }
1598 
1599 #undef __FUNCT__
1600 #define __FUNCT__ "TSSetExactFinalTime"
1601 /*@
1602    TSSetExactFinalTime - Determines whether to adapt the final time step to
1603      match the exact final time, interpolate solution to the exact final time,
1604      or just return at the final time TS computed.
1605 
1606   Logically Collective on TS
1607 
1608    Input Parameter:
1609 +   ts - the time-step context
1610 -   eftopt - exact final time option
1611 
1612    Level: beginner
1613 
1614 .seealso: TSExactFinalTimeOption
1615 @*/
1616 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1617 {
1618   PetscFunctionBegin;
1619   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1620   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1621   ts->exact_final_time = eftopt;
1622   PetscFunctionReturn(0);
1623 }
1624 
1625 #undef __FUNCT__
1626 #define __FUNCT__ "TSGetTimeStep"
1627 /*@
1628    TSGetTimeStep - Gets the current timestep size.
1629 
1630    Not Collective
1631 
1632    Input Parameter:
1633 .  ts - the TS context obtained from TSCreate()
1634 
1635    Output Parameter:
1636 .  dt - the current timestep size
1637 
1638    Level: intermediate
1639 
1640 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1641 
1642 .keywords: TS, get, timestep
1643 @*/
1644 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1645 {
1646   PetscFunctionBegin;
1647   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1648   PetscValidRealPointer(dt,2);
1649   *dt = ts->time_step;
1650   PetscFunctionReturn(0);
1651 }
1652 
1653 #undef __FUNCT__
1654 #define __FUNCT__ "TSGetSolution"
1655 /*@
1656    TSGetSolution - Returns the solution at the present timestep. It
1657    is valid to call this routine inside the function that you are evaluating
1658    in order to move to the new timestep. This vector not changed until
1659    the solution at the next timestep has been calculated.
1660 
1661    Not Collective, but Vec returned is parallel if TS is parallel
1662 
1663    Input Parameter:
1664 .  ts - the TS context obtained from TSCreate()
1665 
1666    Output Parameter:
1667 .  v - the vector containing the solution
1668 
1669    Level: intermediate
1670 
1671 .seealso: TSGetTimeStep()
1672 
1673 .keywords: TS, timestep, get, solution
1674 @*/
1675 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1676 {
1677   PetscFunctionBegin;
1678   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1679   PetscValidPointer(v,2);
1680   *v = ts->vec_sol;
1681   PetscFunctionReturn(0);
1682 }
1683 
1684 /* ----- Routines to initialize and destroy a timestepper ---- */
1685 #undef __FUNCT__
1686 #define __FUNCT__ "TSSetProblemType"
1687 /*@
1688   TSSetProblemType - Sets the type of problem to be solved.
1689 
1690   Not collective
1691 
1692   Input Parameters:
1693 + ts   - The TS
1694 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1695 .vb
1696          U_t - A U = 0      (linear)
1697          U_t - A(t) U = 0   (linear)
1698          F(t,U,U_t) = 0     (nonlinear)
1699 .ve
1700 
1701    Level: beginner
1702 
1703 .keywords: TS, problem type
1704 .seealso: TSSetUp(), TSProblemType, TS
1705 @*/
1706 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1707 {
1708   PetscErrorCode ierr;
1709 
1710   PetscFunctionBegin;
1711   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1712   ts->problem_type = type;
1713   if (type == TS_LINEAR) {
1714     SNES snes;
1715     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1716     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1717   }
1718   PetscFunctionReturn(0);
1719 }
1720 
1721 #undef __FUNCT__
1722 #define __FUNCT__ "TSGetProblemType"
1723 /*@C
1724   TSGetProblemType - Gets the type of problem to be solved.
1725 
1726   Not collective
1727 
1728   Input Parameter:
1729 . ts   - The TS
1730 
1731   Output Parameter:
1732 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1733 .vb
1734          M U_t = A U
1735          M(t) U_t = A(t) U
1736          F(t,U,U_t)
1737 .ve
1738 
1739    Level: beginner
1740 
1741 .keywords: TS, problem type
1742 .seealso: TSSetUp(), TSProblemType, TS
1743 @*/
1744 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1745 {
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1748   PetscValidIntPointer(type,2);
1749   *type = ts->problem_type;
1750   PetscFunctionReturn(0);
1751 }
1752 
1753 #undef __FUNCT__
1754 #define __FUNCT__ "TSSetUp"
1755 /*@
1756    TSSetUp - Sets up the internal data structures for the later use
1757    of a timestepper.
1758 
1759    Collective on TS
1760 
1761    Input Parameter:
1762 .  ts - the TS context obtained from TSCreate()
1763 
1764    Notes:
1765    For basic use of the TS solvers the user need not explicitly call
1766    TSSetUp(), since these actions will automatically occur during
1767    the call to TSStep().  However, if one wishes to control this
1768    phase separately, TSSetUp() should be called after TSCreate()
1769    and optional routines of the form TSSetXXX(), but before TSStep().
1770 
1771    Level: advanced
1772 
1773 .keywords: TS, timestep, setup
1774 
1775 .seealso: TSCreate(), TSStep(), TSDestroy()
1776 @*/
1777 PetscErrorCode  TSSetUp(TS ts)
1778 {
1779   PetscErrorCode ierr;
1780   DM             dm;
1781   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1782   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1783   TSIJacobian    ijac;
1784   TSRHSJacobian  rhsjac;
1785 
1786   PetscFunctionBegin;
1787   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1788   if (ts->setupcalled) PetscFunctionReturn(0);
1789 
1790   if (!((PetscObject)ts)->type_name) {
1791     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1792   }
1793 
1794   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1795 
1796   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1797 
1798   if (ts->rhsjacobian.reuse) {
1799     Mat Amat,Pmat;
1800     SNES snes;
1801     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1802     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1803     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1804      * have displaced the RHS matrix */
1805     if (Amat == ts->Arhs) {
1806       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1807       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1808       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1809     }
1810     if (Pmat == ts->Brhs) {
1811       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1812       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1813       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1814     }
1815   }
1816 
1817   if (ts->ops->setup) {
1818     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1819   }
1820 
1821   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1822    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1823    */
1824   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1825   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1826   if (!func) {
1827     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1828   }
1829   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1830      Otherwise, the SNES will use coloring internally to form the Jacobian.
1831    */
1832   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1833   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1834   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1835   if (!jac && (ijac || rhsjac)) {
1836     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1837   }
1838   ts->setupcalled = PETSC_TRUE;
1839   PetscFunctionReturn(0);
1840 }
1841 
1842 #undef __FUNCT__
1843 #define __FUNCT__ "TSReset"
1844 /*@
1845    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1846 
1847    Collective on TS
1848 
1849    Input Parameter:
1850 .  ts - the TS context obtained from TSCreate()
1851 
1852    Level: beginner
1853 
1854 .keywords: TS, timestep, reset
1855 
1856 .seealso: TSCreate(), TSSetup(), TSDestroy()
1857 @*/
1858 PetscErrorCode  TSReset(TS ts)
1859 {
1860   PetscErrorCode ierr;
1861 
1862   PetscFunctionBegin;
1863   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1864   if (ts->ops->reset) {
1865     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1866   }
1867   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1868 
1869   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1870   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1871   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1872   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1873   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1874   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1875   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1876 
1877   ts->setupcalled = PETSC_FALSE;
1878   PetscFunctionReturn(0);
1879 }
1880 
1881 #undef __FUNCT__
1882 #define __FUNCT__ "TSDestroy"
1883 /*@
1884    TSDestroy - Destroys the timestepper context that was created
1885    with TSCreate().
1886 
1887    Collective on TS
1888 
1889    Input Parameter:
1890 .  ts - the TS context obtained from TSCreate()
1891 
1892    Level: beginner
1893 
1894 .keywords: TS, timestepper, destroy
1895 
1896 .seealso: TSCreate(), TSSetUp(), TSSolve()
1897 @*/
1898 PetscErrorCode  TSDestroy(TS *ts)
1899 {
1900   PetscErrorCode ierr;
1901 
1902   PetscFunctionBegin;
1903   if (!*ts) PetscFunctionReturn(0);
1904   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1905   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1906 
1907   ierr = TSReset((*ts));CHKERRQ(ierr);
1908 
1909   /* if memory was published with SAWs then destroy it */
1910   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
1911   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1912 
1913   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
1914   if ((*ts)->event) {
1915     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
1916   }
1917   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
1918   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
1919   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
1920 
1921   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
1922   PetscFunctionReturn(0);
1923 }
1924 
1925 #undef __FUNCT__
1926 #define __FUNCT__ "TSGetSNES"
1927 /*@
1928    TSGetSNES - Returns the SNES (nonlinear solver) associated with
1929    a TS (timestepper) context. Valid only for nonlinear problems.
1930 
1931    Not Collective, but SNES is parallel if TS is parallel
1932 
1933    Input Parameter:
1934 .  ts - the TS context obtained from TSCreate()
1935 
1936    Output Parameter:
1937 .  snes - the nonlinear solver context
1938 
1939    Notes:
1940    The user can then directly manipulate the SNES context to set various
1941    options, etc.  Likewise, the user can then extract and manipulate the
1942    KSP, KSP, and PC contexts as well.
1943 
1944    TSGetSNES() does not work for integrators that do not use SNES; in
1945    this case TSGetSNES() returns NULL in snes.
1946 
1947    Level: beginner
1948 
1949 .keywords: timestep, get, SNES
1950 @*/
1951 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
1952 {
1953   PetscErrorCode ierr;
1954 
1955   PetscFunctionBegin;
1956   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1957   PetscValidPointer(snes,2);
1958   if (!ts->snes) {
1959     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
1960     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
1961     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
1962     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
1963     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
1964     if (ts->problem_type == TS_LINEAR) {
1965       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
1966     }
1967   }
1968   *snes = ts->snes;
1969   PetscFunctionReturn(0);
1970 }
1971 
1972 #undef __FUNCT__
1973 #define __FUNCT__ "TSSetSNES"
1974 /*@
1975    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
1976 
1977    Collective
1978 
1979    Input Parameter:
1980 +  ts - the TS context obtained from TSCreate()
1981 -  snes - the nonlinear solver context
1982 
1983    Notes:
1984    Most users should have the TS created by calling TSGetSNES()
1985 
1986    Level: developer
1987 
1988 .keywords: timestep, set, SNES
1989 @*/
1990 PetscErrorCode TSSetSNES(TS ts,SNES snes)
1991 {
1992   PetscErrorCode ierr;
1993   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
1994 
1995   PetscFunctionBegin;
1996   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1997   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
1998   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
1999   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2000 
2001   ts->snes = snes;
2002 
2003   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2004   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2005   if (func == SNESTSFormJacobian) {
2006     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2007   }
2008   PetscFunctionReturn(0);
2009 }
2010 
2011 #undef __FUNCT__
2012 #define __FUNCT__ "TSGetKSP"
2013 /*@
2014    TSGetKSP - Returns the KSP (linear solver) associated with
2015    a TS (timestepper) context.
2016 
2017    Not Collective, but KSP is parallel if TS is parallel
2018 
2019    Input Parameter:
2020 .  ts - the TS context obtained from TSCreate()
2021 
2022    Output Parameter:
2023 .  ksp - the nonlinear solver context
2024 
2025    Notes:
2026    The user can then directly manipulate the KSP context to set various
2027    options, etc.  Likewise, the user can then extract and manipulate the
2028    KSP and PC contexts as well.
2029 
2030    TSGetKSP() does not work for integrators that do not use KSP;
2031    in this case TSGetKSP() returns NULL in ksp.
2032 
2033    Level: beginner
2034 
2035 .keywords: timestep, get, KSP
2036 @*/
2037 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2038 {
2039   PetscErrorCode ierr;
2040   SNES           snes;
2041 
2042   PetscFunctionBegin;
2043   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2044   PetscValidPointer(ksp,2);
2045   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2046   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2047   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2048   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2049   PetscFunctionReturn(0);
2050 }
2051 
2052 /* ----------- Routines to set solver parameters ---------- */
2053 
2054 #undef __FUNCT__
2055 #define __FUNCT__ "TSGetDuration"
2056 /*@
2057    TSGetDuration - Gets the maximum number of timesteps to use and
2058    maximum time for iteration.
2059 
2060    Not Collective
2061 
2062    Input Parameters:
2063 +  ts       - the TS context obtained from TSCreate()
2064 .  maxsteps - maximum number of iterations to use, or NULL
2065 -  maxtime  - final time to iterate to, or NULL
2066 
2067    Level: intermediate
2068 
2069 .keywords: TS, timestep, get, maximum, iterations, time
2070 @*/
2071 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2072 {
2073   PetscFunctionBegin;
2074   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2075   if (maxsteps) {
2076     PetscValidIntPointer(maxsteps,2);
2077     *maxsteps = ts->max_steps;
2078   }
2079   if (maxtime) {
2080     PetscValidScalarPointer(maxtime,3);
2081     *maxtime = ts->max_time;
2082   }
2083   PetscFunctionReturn(0);
2084 }
2085 
2086 #undef __FUNCT__
2087 #define __FUNCT__ "TSSetDuration"
2088 /*@
2089    TSSetDuration - Sets the maximum number of timesteps to use and
2090    maximum time for iteration.
2091 
2092    Logically Collective on TS
2093 
2094    Input Parameters:
2095 +  ts - the TS context obtained from TSCreate()
2096 .  maxsteps - maximum number of iterations to use
2097 -  maxtime - final time to iterate to
2098 
2099    Options Database Keys:
2100 .  -ts_max_steps <maxsteps> - Sets maxsteps
2101 .  -ts_final_time <maxtime> - Sets maxtime
2102 
2103    Notes:
2104    The default maximum number of iterations is 5000. Default time is 5.0
2105 
2106    Level: intermediate
2107 
2108 .keywords: TS, timestep, set, maximum, iterations
2109 
2110 .seealso: TSSetExactFinalTime()
2111 @*/
2112 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2113 {
2114   PetscFunctionBegin;
2115   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2116   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2117   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2118   if (maxsteps >= 0) ts->max_steps = maxsteps;
2119   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "TSSetSolution"
2125 /*@
2126    TSSetSolution - Sets the initial solution vector
2127    for use by the TS routines.
2128 
2129    Logically Collective on TS and Vec
2130 
2131    Input Parameters:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  u - the solution vector
2134 
2135    Level: beginner
2136 
2137 .keywords: TS, timestep, set, solution, initial conditions
2138 @*/
2139 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2140 {
2141   PetscErrorCode ierr;
2142   DM             dm;
2143 
2144   PetscFunctionBegin;
2145   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2146   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2147   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2148   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2149 
2150   ts->vec_sol = u;
2151 
2152   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2153   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2154   PetscFunctionReturn(0);
2155 }
2156 
2157 #undef __FUNCT__
2158 #define __FUNCT__ "TSSetPreStep"
2159 /*@C
2160   TSSetPreStep - Sets the general-purpose function
2161   called once at the beginning of each time step.
2162 
2163   Logically Collective on TS
2164 
2165   Input Parameters:
2166 + ts   - The TS context obtained from TSCreate()
2167 - func - The function
2168 
2169   Calling sequence of func:
2170 . func (TS ts);
2171 
2172   Level: intermediate
2173 
2174   Note:
2175   If a step is rejected, TSStep() will call this routine again before each attempt.
2176   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2177   size of the step being attempted can be obtained using TSGetTimeStep().
2178 
2179 .keywords: TS, timestep
2180 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2181 @*/
2182 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2183 {
2184   PetscFunctionBegin;
2185   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2186   ts->prestep = func;
2187   PetscFunctionReturn(0);
2188 }
2189 
2190 #undef __FUNCT__
2191 #define __FUNCT__ "TSPreStep"
2192 /*@
2193   TSPreStep - Runs the user-defined pre-step function.
2194 
2195   Collective on TS
2196 
2197   Input Parameters:
2198 . ts   - The TS context obtained from TSCreate()
2199 
2200   Notes:
2201   TSPreStep() is typically used within time stepping implementations,
2202   so most users would not generally call this routine themselves.
2203 
2204   Level: developer
2205 
2206 .keywords: TS, timestep
2207 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2208 @*/
2209 PetscErrorCode  TSPreStep(TS ts)
2210 {
2211   PetscErrorCode ierr;
2212 
2213   PetscFunctionBegin;
2214   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2215   if (ts->prestep) {
2216     PetscStackCallStandard((*ts->prestep),(ts));
2217   }
2218   PetscFunctionReturn(0);
2219 }
2220 
2221 #undef __FUNCT__
2222 #define __FUNCT__ "TSSetPreStage"
2223 /*@C
2224   TSSetPreStage - Sets the general-purpose function
2225   called once at the beginning of each stage.
2226 
2227   Logically Collective on TS
2228 
2229   Input Parameters:
2230 + ts   - The TS context obtained from TSCreate()
2231 - func - The function
2232 
2233   Calling sequence of func:
2234 . PetscErrorCode func(TS ts, PetscReal stagetime);
2235 
2236   Level: intermediate
2237 
2238   Note:
2239   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2240   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2241   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2242 
2243 .keywords: TS, timestep
2244 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2245 @*/
2246 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2247 {
2248   PetscFunctionBegin;
2249   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2250   ts->prestage = func;
2251   PetscFunctionReturn(0);
2252 }
2253 
2254 #undef __FUNCT__
2255 #define __FUNCT__ "TSSetPostStage"
2256 /*@C
2257   TSSetPostStage - Sets the general-purpose function
2258   called once at the end of each stage.
2259 
2260   Logically Collective on TS
2261 
2262   Input Parameters:
2263 + ts   - The TS context obtained from TSCreate()
2264 - func - The function
2265 
2266   Calling sequence of func:
2267 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2268 
2269   Level: intermediate
2270 
2271   Note:
2272   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2273   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2274   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2275 
2276 .keywords: TS, timestep
2277 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2278 @*/
2279 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2280 {
2281   PetscFunctionBegin;
2282   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2283   ts->poststage = func;
2284   PetscFunctionReturn(0);
2285 }
2286 
2287 #undef __FUNCT__
2288 #define __FUNCT__ "TSPreStage"
2289 /*@
2290   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2291 
2292   Collective on TS
2293 
2294   Input Parameters:
2295 . ts          - The TS context obtained from TSCreate()
2296   stagetime   - The absolute time of the current stage
2297 
2298   Notes:
2299   TSPreStage() is typically used within time stepping implementations,
2300   most users would not generally call this routine themselves.
2301 
2302   Level: developer
2303 
2304 .keywords: TS, timestep
2305 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2306 @*/
2307 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2308 {
2309   PetscErrorCode ierr;
2310 
2311   PetscFunctionBegin;
2312   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2313   if (ts->prestage) {
2314     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2315   }
2316   PetscFunctionReturn(0);
2317 }
2318 
2319 #undef __FUNCT__
2320 #define __FUNCT__ "TSPostStage"
2321 /*@
2322   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2323 
2324   Collective on TS
2325 
2326   Input Parameters:
2327 . ts          - The TS context obtained from TSCreate()
2328   stagetime   - The absolute time of the current stage
2329   stageindex  - Stage number
2330   Y           - Array of vectors (of size = total number
2331                 of stages) with the stage solutions
2332 
2333   Notes:
2334   TSPostStage() is typically used within time stepping implementations,
2335   most users would not generally call this routine themselves.
2336 
2337   Level: developer
2338 
2339 .keywords: TS, timestep
2340 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2341 @*/
2342 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2343 {
2344   PetscErrorCode ierr;
2345 
2346   PetscFunctionBegin;
2347   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2348   if (ts->prestage) {
2349     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2350   }
2351   PetscFunctionReturn(0);
2352 }
2353 
2354 #undef __FUNCT__
2355 #define __FUNCT__ "TSSetPostStep"
2356 /*@C
2357   TSSetPostStep - Sets the general-purpose function
2358   called once at the end of each time step.
2359 
2360   Logically Collective on TS
2361 
2362   Input Parameters:
2363 + ts   - The TS context obtained from TSCreate()
2364 - func - The function
2365 
2366   Calling sequence of func:
2367 $ func (TS ts);
2368 
2369   Level: intermediate
2370 
2371 .keywords: TS, timestep
2372 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2373 @*/
2374 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2375 {
2376   PetscFunctionBegin;
2377   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2378   ts->poststep = func;
2379   PetscFunctionReturn(0);
2380 }
2381 
2382 #undef __FUNCT__
2383 #define __FUNCT__ "TSPostStep"
2384 /*@
2385   TSPostStep - Runs the user-defined post-step function.
2386 
2387   Collective on TS
2388 
2389   Input Parameters:
2390 . ts   - The TS context obtained from TSCreate()
2391 
2392   Notes:
2393   TSPostStep() is typically used within time stepping implementations,
2394   so most users would not generally call this routine themselves.
2395 
2396   Level: developer
2397 
2398 .keywords: TS, timestep
2399 @*/
2400 PetscErrorCode  TSPostStep(TS ts)
2401 {
2402   PetscErrorCode ierr;
2403 
2404   PetscFunctionBegin;
2405   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2406   if (ts->poststep) {
2407     PetscStackCallStandard((*ts->poststep),(ts));
2408   }
2409   PetscFunctionReturn(0);
2410 }
2411 
2412 /* ------------ Routines to set performance monitoring options ----------- */
2413 
2414 #undef __FUNCT__
2415 #define __FUNCT__ "TSMonitorSet"
2416 /*@C
2417    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2418    timestep to display the iteration's  progress.
2419 
2420    Logically Collective on TS
2421 
2422    Input Parameters:
2423 +  ts - the TS context obtained from TSCreate()
2424 .  monitor - monitoring routine
2425 .  mctx - [optional] user-defined context for private data for the
2426              monitor routine (use NULL if no context is desired)
2427 -  monitordestroy - [optional] routine that frees monitor context
2428           (may be NULL)
2429 
2430    Calling sequence of monitor:
2431 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2432 
2433 +    ts - the TS context
2434 .    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
2435                                been interpolated to)
2436 .    time - current time
2437 .    u - current iterate
2438 -    mctx - [optional] monitoring context
2439 
2440    Notes:
2441    This routine adds an additional monitor to the list of monitors that
2442    already has been loaded.
2443 
2444    Fortran notes: Only a single monitor function can be set for each TS object
2445 
2446    Level: intermediate
2447 
2448 .keywords: TS, timestep, set, monitor
2449 
2450 .seealso: TSMonitorDefault(), TSMonitorCancel()
2451 @*/
2452 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2453 {
2454   PetscFunctionBegin;
2455   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2456   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2457   ts->monitor[ts->numbermonitors]          = monitor;
2458   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2459   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2460   PetscFunctionReturn(0);
2461 }
2462 
2463 #undef __FUNCT__
2464 #define __FUNCT__ "TSMonitorCancel"
2465 /*@C
2466    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2467 
2468    Logically Collective on TS
2469 
2470    Input Parameters:
2471 .  ts - the TS context obtained from TSCreate()
2472 
2473    Notes:
2474    There is no way to remove a single, specific monitor.
2475 
2476    Level: intermediate
2477 
2478 .keywords: TS, timestep, set, monitor
2479 
2480 .seealso: TSMonitorDefault(), TSMonitorSet()
2481 @*/
2482 PetscErrorCode  TSMonitorCancel(TS ts)
2483 {
2484   PetscErrorCode ierr;
2485   PetscInt       i;
2486 
2487   PetscFunctionBegin;
2488   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2489   for (i=0; i<ts->numbermonitors; i++) {
2490     if (ts->monitordestroy[i]) {
2491       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2492     }
2493   }
2494   ts->numbermonitors = 0;
2495   PetscFunctionReturn(0);
2496 }
2497 
2498 #undef __FUNCT__
2499 #define __FUNCT__ "TSMonitorDefault"
2500 /*@
2501    TSMonitorDefault - Sets the Default monitor
2502 
2503    Level: intermediate
2504 
2505 .keywords: TS, set, monitor
2506 
2507 .seealso: TSMonitorDefault(), TSMonitorSet()
2508 @*/
2509 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2510 {
2511   PetscErrorCode ierr;
2512   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2513 
2514   PetscFunctionBegin;
2515   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2516   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2517   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2518   PetscFunctionReturn(0);
2519 }
2520 
2521 #undef __FUNCT__
2522 #define __FUNCT__ "TSSetRetainStages"
2523 /*@
2524    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2525 
2526    Logically Collective on TS
2527 
2528    Input Argument:
2529 .  ts - time stepping context
2530 
2531    Output Argument:
2532 .  flg - PETSC_TRUE or PETSC_FALSE
2533 
2534    Level: intermediate
2535 
2536 .keywords: TS, set
2537 
2538 .seealso: TSInterpolate(), TSSetPostStep()
2539 @*/
2540 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2541 {
2542   PetscFunctionBegin;
2543   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2544   ts->retain_stages = flg;
2545   PetscFunctionReturn(0);
2546 }
2547 
2548 #undef __FUNCT__
2549 #define __FUNCT__ "TSInterpolate"
2550 /*@
2551    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2552 
2553    Collective on TS
2554 
2555    Input Argument:
2556 +  ts - time stepping context
2557 -  t - time to interpolate to
2558 
2559    Output Argument:
2560 .  U - state at given time
2561 
2562    Notes:
2563    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2564 
2565    Level: intermediate
2566 
2567    Developer Notes:
2568    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2569 
2570 .keywords: TS, set
2571 
2572 .seealso: TSSetRetainStages(), TSSetPostStep()
2573 @*/
2574 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2575 {
2576   PetscErrorCode ierr;
2577 
2578   PetscFunctionBegin;
2579   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2580   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2581   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);
2582   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
2583   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
2584   PetscFunctionReturn(0);
2585 }
2586 
2587 #undef __FUNCT__
2588 #define __FUNCT__ "TSStep"
2589 /*@
2590    TSStep - Steps one time step
2591 
2592    Collective on TS
2593 
2594    Input Parameter:
2595 .  ts - the TS context obtained from TSCreate()
2596 
2597    Level: intermediate
2598 
2599    Notes:
2600    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
2601    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
2602 
2603    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
2604    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
2605 
2606 .keywords: TS, timestep, solve
2607 
2608 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
2609 @*/
2610 PetscErrorCode  TSStep(TS ts)
2611 {
2612   DM               dm;
2613   PetscErrorCode   ierr;
2614   static PetscBool cite = PETSC_FALSE;
2615 
2616   PetscFunctionBegin;
2617   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2618   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
2619                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
2620                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
2621                                 "  type        = {Preprint},\n"
2622                                 "  number      = {ANL/MCS-P5061-0114},\n"
2623                                 "  institution = {Argonne National Laboratory},\n"
2624                                 "  year        = {2014}\n}\n",&cite);
2625 
2626   ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
2627   ierr = TSSetUp(ts);CHKERRQ(ierr);
2628 
2629   ts->reason = TS_CONVERGED_ITERATING;
2630   ts->ptime_prev = ts->ptime;
2631   ierr = DMSetOutputSequenceNumber(dm, ts->steps);CHKERRQ(ierr);
2632   ierr = VecViewFromOptions(ts->vec_sol, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
2633 
2634   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2635   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
2636   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2637 
2638   ts->time_step_prev = ts->ptime - ts->ptime_prev;
2639   ierr = DMSetOutputSequenceNumber(dm, ts->steps);CHKERRQ(ierr);
2640 
2641   if (ts->reason < 0) {
2642     if (ts->errorifstepfailed) {
2643       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
2644         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]);
2645       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
2646     }
2647   } else if (!ts->reason) {
2648     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2649     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2650   }
2651   PetscFunctionReturn(0);
2652 }
2653 
2654 #undef __FUNCT__
2655 #define __FUNCT__ "TSEvaluateStep"
2656 /*@
2657    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
2658 
2659    Collective on TS
2660 
2661    Input Arguments:
2662 +  ts - time stepping context
2663 .  order - desired order of accuracy
2664 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
2665 
2666    Output Arguments:
2667 .  U - state at the end of the current step
2668 
2669    Level: advanced
2670 
2671    Notes:
2672    This function cannot be called until all stages have been evaluated.
2673    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.
2674 
2675 .seealso: TSStep(), TSAdapt
2676 @*/
2677 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
2678 {
2679   PetscErrorCode ierr;
2680 
2681   PetscFunctionBegin;
2682   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2683   PetscValidType(ts,1);
2684   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2685   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2686   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
2687   PetscFunctionReturn(0);
2688 }
2689 
2690 #undef __FUNCT__
2691 #define __FUNCT__ "TSSolve"
2692 /*@
2693    TSSolve - Steps the requested number of timesteps.
2694 
2695    Collective on TS
2696 
2697    Input Parameter:
2698 +  ts - the TS context obtained from TSCreate()
2699 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
2700 
2701    Level: beginner
2702 
2703    Notes:
2704    The final time returned by this function may be different from the time of the internally
2705    held state accessible by TSGetSolution() and TSGetTime() because the method may have
2706    stepped over the final time.
2707 
2708 .keywords: TS, timestep, solve
2709 
2710 .seealso: TSCreate(), TSSetSolution(), TSStep()
2711 @*/
2712 PetscErrorCode TSSolve(TS ts,Vec u)
2713 {
2714   Vec               solution;
2715   PetscErrorCode    ierr;
2716 
2717   PetscFunctionBegin;
2718   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2719   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2720   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 */
2721     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2722     if (!ts->vec_sol || u == ts->vec_sol) {
2723       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
2724       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
2725       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
2726     }
2727     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
2728   } else if (u) {
2729     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
2730   }
2731   ierr = TSSetUp(ts);CHKERRQ(ierr);
2732   /* reset time step and iteration counters */
2733   ts->steps             = 0;
2734   ts->ksp_its           = 0;
2735   ts->snes_its          = 0;
2736   ts->num_snes_failures = 0;
2737   ts->reject            = 0;
2738   ts->reason            = TS_CONVERGED_ITERATING;
2739 
2740   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
2741 
2742   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
2743     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
2744     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
2745     ts->solvetime = ts->ptime;
2746   } else {
2747     /* steps the requested number of timesteps. */
2748     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2749     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2750     while (!ts->reason) {
2751       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
2752       ierr = TSStep(ts);CHKERRQ(ierr);
2753       ierr = TSPostStep(ts);CHKERRQ(ierr);
2754       if (ts->event) {
2755 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
2756       }
2757     }
2758     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
2759       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
2760       ts->solvetime = ts->max_time;
2761       solution = u;
2762     } else {
2763       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
2764       ts->solvetime = ts->ptime;
2765       solution = ts->vec_sol;
2766     }
2767     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
2768     ierr = VecViewFromOptions(u, ((PetscObject) ts)->prefix, "-ts_view_solution");CHKERRQ(ierr);
2769   }
2770   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
2771   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
2772   PetscFunctionReturn(0);
2773 }
2774 
2775 #undef __FUNCT__
2776 #define __FUNCT__ "TSMonitor"
2777 /*@
2778    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
2779 
2780    Collective on TS
2781 
2782    Input Parameters:
2783 +  ts - time stepping context obtained from TSCreate()
2784 .  step - step number that has just completed
2785 .  ptime - model time of the state
2786 -  u - state at the current model time
2787 
2788    Notes:
2789    TSMonitor() is typically used within the time stepping implementations.
2790    Users might call this function when using the TSStep() interface instead of TSSolve().
2791 
2792    Level: advanced
2793 
2794 .keywords: TS, timestep
2795 @*/
2796 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
2797 {
2798   PetscErrorCode ierr;
2799   PetscInt       i,n = ts->numbermonitors;
2800 
2801   PetscFunctionBegin;
2802   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2803   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
2804   for (i=0; i<n; i++) {
2805     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
2806   }
2807   PetscFunctionReturn(0);
2808 }
2809 
2810 /* ------------------------------------------------------------------------*/
2811 #undef __FUNCT__
2812 #define __FUNCT__ "TSMonitorLGCtxCreate"
2813 /*@C
2814    TSMonitorLGCtxCreate - Creates a line graph context for use with
2815    TS to monitor the solution process graphically in various ways
2816 
2817    Collective on TS
2818 
2819    Input Parameters:
2820 +  host - the X display to open, or null for the local machine
2821 .  label - the title to put in the title bar
2822 .  x, y - the screen coordinates of the upper left coordinate of the window
2823 .  m, n - the screen width and height in pixels
2824 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
2825 
2826    Output Parameter:
2827 .  ctx - the context
2828 
2829    Options Database Key:
2830 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
2831 .  -ts_monitor_lg_solution -
2832 .  -ts_monitor_lg_error -
2833 .  -ts_monitor_lg_ksp_iterations -
2834 .  -ts_monitor_lg_snes_iterations -
2835 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
2836 
2837    Notes:
2838    Use TSMonitorLGCtxDestroy() to destroy.
2839 
2840    Level: intermediate
2841 
2842 .keywords: TS, monitor, line graph, residual, seealso
2843 
2844 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
2845 
2846 @*/
2847 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
2848 {
2849   PetscDraw      win;
2850   PetscErrorCode ierr;
2851 
2852   PetscFunctionBegin;
2853   ierr = PetscNew(ctx);CHKERRQ(ierr);
2854   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
2855   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
2856   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
2857   ierr = PetscLogObjectParent((PetscObject)(*ctx)->lg,(PetscObject)win);CHKERRQ(ierr);
2858   ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg,PETSC_TRUE);CHKERRQ(ierr);
2859   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
2860   (*ctx)->howoften = howoften;
2861   PetscFunctionReturn(0);
2862 }
2863 
2864 #undef __FUNCT__
2865 #define __FUNCT__ "TSMonitorLGTimeStep"
2866 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
2867 {
2868   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
2869   PetscReal      x   = ptime,y;
2870   PetscErrorCode ierr;
2871 
2872   PetscFunctionBegin;
2873   if (!step) {
2874     PetscDrawAxis axis;
2875     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
2876     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
2877     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
2878     ierr = PetscDrawLGIndicateDataPoints(ctx->lg,PETSC_TRUE);CHKERRQ(ierr);
2879   }
2880   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
2881   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
2882   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
2883     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
2884   }
2885   PetscFunctionReturn(0);
2886 }
2887 
2888 #undef __FUNCT__
2889 #define __FUNCT__ "TSMonitorLGCtxDestroy"
2890 /*@C
2891    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
2892    with TSMonitorLGCtxCreate().
2893 
2894    Collective on TSMonitorLGCtx
2895 
2896    Input Parameter:
2897 .  ctx - the monitor context
2898 
2899    Level: intermediate
2900 
2901 .keywords: TS, monitor, line graph, destroy
2902 
2903 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
2904 @*/
2905 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
2906 {
2907   PetscDraw      draw;
2908   PetscErrorCode ierr;
2909 
2910   PetscFunctionBegin;
2911   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
2912   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
2913   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
2914   ierr = PetscFree(*ctx);CHKERRQ(ierr);
2915   PetscFunctionReturn(0);
2916 }
2917 
2918 #undef __FUNCT__
2919 #define __FUNCT__ "TSGetTime"
2920 /*@
2921    TSGetTime - Gets the time of the most recently completed step.
2922 
2923    Not Collective
2924 
2925    Input Parameter:
2926 .  ts - the TS context obtained from TSCreate()
2927 
2928    Output Parameter:
2929 .  t  - the current time
2930 
2931    Level: beginner
2932 
2933    Note:
2934    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
2935    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
2936 
2937 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2938 
2939 .keywords: TS, get, time
2940 @*/
2941 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
2942 {
2943   PetscFunctionBegin;
2944   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2945   PetscValidRealPointer(t,2);
2946   *t = ts->ptime;
2947   PetscFunctionReturn(0);
2948 }
2949 
2950 #undef __FUNCT__
2951 #define __FUNCT__ "TSSetTime"
2952 /*@
2953    TSSetTime - Allows one to reset the time.
2954 
2955    Logically Collective on TS
2956 
2957    Input Parameters:
2958 +  ts - the TS context obtained from TSCreate()
2959 -  time - the time
2960 
2961    Level: intermediate
2962 
2963 .seealso: TSGetTime(), TSSetDuration()
2964 
2965 .keywords: TS, set, time
2966 @*/
2967 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
2968 {
2969   PetscFunctionBegin;
2970   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2971   PetscValidLogicalCollectiveReal(ts,t,2);
2972   ts->ptime = t;
2973   PetscFunctionReturn(0);
2974 }
2975 
2976 #undef __FUNCT__
2977 #define __FUNCT__ "TSSetOptionsPrefix"
2978 /*@C
2979    TSSetOptionsPrefix - Sets the prefix used for searching for all
2980    TS options in the database.
2981 
2982    Logically Collective on TS
2983 
2984    Input Parameter:
2985 +  ts     - The TS context
2986 -  prefix - The prefix to prepend to all option names
2987 
2988    Notes:
2989    A hyphen (-) must NOT be given at the beginning of the prefix name.
2990    The first character of all runtime options is AUTOMATICALLY the
2991    hyphen.
2992 
2993    Level: advanced
2994 
2995 .keywords: TS, set, options, prefix, database
2996 
2997 .seealso: TSSetFromOptions()
2998 
2999 @*/
3000 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
3001 {
3002   PetscErrorCode ierr;
3003   SNES           snes;
3004 
3005   PetscFunctionBegin;
3006   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3007   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3008   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3009   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3010   PetscFunctionReturn(0);
3011 }
3012 
3013 
3014 #undef __FUNCT__
3015 #define __FUNCT__ "TSAppendOptionsPrefix"
3016 /*@C
3017    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
3018    TS options in the database.
3019 
3020    Logically Collective on TS
3021 
3022    Input Parameter:
3023 +  ts     - The TS context
3024 -  prefix - The prefix to prepend to all option names
3025 
3026    Notes:
3027    A hyphen (-) must NOT be given at the beginning of the prefix name.
3028    The first character of all runtime options is AUTOMATICALLY the
3029    hyphen.
3030 
3031    Level: advanced
3032 
3033 .keywords: TS, append, options, prefix, database
3034 
3035 .seealso: TSGetOptionsPrefix()
3036 
3037 @*/
3038 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
3039 {
3040   PetscErrorCode ierr;
3041   SNES           snes;
3042 
3043   PetscFunctionBegin;
3044   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3045   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3046   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3047   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
3048   PetscFunctionReturn(0);
3049 }
3050 
3051 #undef __FUNCT__
3052 #define __FUNCT__ "TSGetOptionsPrefix"
3053 /*@C
3054    TSGetOptionsPrefix - Sets the prefix used for searching for all
3055    TS options in the database.
3056 
3057    Not Collective
3058 
3059    Input Parameter:
3060 .  ts - The TS context
3061 
3062    Output Parameter:
3063 .  prefix - A pointer to the prefix string used
3064 
3065    Notes: On the fortran side, the user should pass in a string 'prifix' of
3066    sufficient length to hold the prefix.
3067 
3068    Level: intermediate
3069 
3070 .keywords: TS, get, options, prefix, database
3071 
3072 .seealso: TSAppendOptionsPrefix()
3073 @*/
3074 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
3075 {
3076   PetscErrorCode ierr;
3077 
3078   PetscFunctionBegin;
3079   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3080   PetscValidPointer(prefix,2);
3081   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 #undef __FUNCT__
3086 #define __FUNCT__ "TSGetRHSJacobian"
3087 /*@C
3088    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
3089 
3090    Not Collective, but parallel objects are returned if TS is parallel
3091 
3092    Input Parameter:
3093 .  ts  - The TS context obtained from TSCreate()
3094 
3095    Output Parameters:
3096 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
3097 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
3098 .  func - Function to compute the Jacobian of the RHS  (or NULL)
3099 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
3100 
3101    Notes: You can pass in NULL for any return argument you do not need.
3102 
3103    Level: intermediate
3104 
3105 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3106 
3107 .keywords: TS, timestep, get, matrix, Jacobian
3108 @*/
3109 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3110 {
3111   PetscErrorCode ierr;
3112   SNES           snes;
3113   DM             dm;
3114 
3115   PetscFunctionBegin;
3116   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3117   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3118   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3119   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3120   PetscFunctionReturn(0);
3121 }
3122 
3123 #undef __FUNCT__
3124 #define __FUNCT__ "TSGetIJacobian"
3125 /*@C
3126    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3127 
3128    Not Collective, but parallel objects are returned if TS is parallel
3129 
3130    Input Parameter:
3131 .  ts  - The TS context obtained from TSCreate()
3132 
3133    Output Parameters:
3134 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3135 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3136 .  f   - The function to compute the matrices
3137 - ctx - User-defined context for Jacobian evaluation routine
3138 
3139    Notes: You can pass in NULL for any return argument you do not need.
3140 
3141    Level: advanced
3142 
3143 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3144 
3145 .keywords: TS, timestep, get, matrix, Jacobian
3146 @*/
3147 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3148 {
3149   PetscErrorCode ierr;
3150   SNES           snes;
3151   DM             dm;
3152 
3153   PetscFunctionBegin;
3154   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3155   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3156   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3157   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3158   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3159   PetscFunctionReturn(0);
3160 }
3161 
3162 
3163 #undef __FUNCT__
3164 #define __FUNCT__ "TSMonitorDrawSolution"
3165 /*@C
3166    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3167    VecView() for the solution at each timestep
3168 
3169    Collective on TS
3170 
3171    Input Parameters:
3172 +  ts - the TS context
3173 .  step - current time-step
3174 .  ptime - current time
3175 -  dummy - either a viewer or NULL
3176 
3177    Options Database:
3178 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3179 
3180    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3181        will look bad
3182 
3183    Level: intermediate
3184 
3185 .keywords: TS,  vector, monitor, view
3186 
3187 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3188 @*/
3189 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3190 {
3191   PetscErrorCode   ierr;
3192   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3193   PetscDraw        draw;
3194 
3195   PetscFunctionBegin;
3196   if (!step && ictx->showinitial) {
3197     if (!ictx->initialsolution) {
3198       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3199     }
3200     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3201   }
3202   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3203 
3204   if (ictx->showinitial) {
3205     PetscReal pause;
3206     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3207     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3208     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3209     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3210     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3211   }
3212   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3213   if (ictx->showtimestepandtime) {
3214     PetscReal xl,yl,xr,yr,tw,w,h;
3215     char      time[32];
3216     size_t    len;
3217 
3218     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3219     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3220     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3221     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3222     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3223     w    = xl + .5*(xr - xl) - .5*len*tw;
3224     h    = yl + .95*(yr - yl);
3225     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3226     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3227   }
3228 
3229   if (ictx->showinitial) {
3230     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3231   }
3232   PetscFunctionReturn(0);
3233 }
3234 
3235 #undef __FUNCT__
3236 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3237 /*@C
3238    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3239 
3240    Collective on TS
3241 
3242    Input Parameters:
3243 +  ts - the TS context
3244 .  step - current time-step
3245 .  ptime - current time
3246 -  dummy - either a viewer or NULL
3247 
3248    Level: intermediate
3249 
3250 .keywords: TS,  vector, monitor, view
3251 
3252 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3253 @*/
3254 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3255 {
3256   PetscErrorCode    ierr;
3257   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3258   PetscDraw         draw;
3259   MPI_Comm          comm;
3260   PetscInt          n;
3261   PetscMPIInt       size;
3262   PetscReal         xl,yl,xr,yr,tw,w,h;
3263   char              time[32];
3264   size_t            len;
3265   const PetscScalar *U;
3266 
3267   PetscFunctionBegin;
3268   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3269   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3270   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3271   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3272   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3273 
3274   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3275 
3276   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3277   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3278   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3279       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3280       PetscFunctionReturn(0);
3281   }
3282   if (!step) ictx->color++;
3283   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3284   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3285 
3286   if (ictx->showtimestepandtime) {
3287     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3288     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3289     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3290     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3291     w    = xl + .5*(xr - xl) - .5*len*tw;
3292     h    = yl + .95*(yr - yl);
3293     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3294   }
3295   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3296   PetscFunctionReturn(0);
3297 }
3298 
3299 
3300 #undef __FUNCT__
3301 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3302 /*@C
3303    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3304 
3305    Collective on TS
3306 
3307    Input Parameters:
3308 .    ctx - the monitor context
3309 
3310    Level: intermediate
3311 
3312 .keywords: TS,  vector, monitor, view
3313 
3314 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3315 @*/
3316 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3317 {
3318   PetscErrorCode ierr;
3319 
3320   PetscFunctionBegin;
3321   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3322   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3323   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3324   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3325   PetscFunctionReturn(0);
3326 }
3327 
3328 #undef __FUNCT__
3329 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3330 /*@C
3331    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3332 
3333    Collective on TS
3334 
3335    Input Parameter:
3336 .    ts - time-step context
3337 
3338    Output Patameter:
3339 .    ctx - the monitor context
3340 
3341    Options Database:
3342 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3343 
3344    Level: intermediate
3345 
3346 .keywords: TS,  vector, monitor, view
3347 
3348 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3349 @*/
3350 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3351 {
3352   PetscErrorCode   ierr;
3353 
3354   PetscFunctionBegin;
3355   ierr = PetscNew(ctx);CHKERRQ(ierr);
3356   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3357   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3358 
3359   (*ctx)->howoften    = howoften;
3360   (*ctx)->showinitial = PETSC_FALSE;
3361   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3362 
3363   (*ctx)->showtimestepandtime = PETSC_FALSE;
3364   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3365   (*ctx)->color = PETSC_DRAW_WHITE;
3366   PetscFunctionReturn(0);
3367 }
3368 
3369 #undef __FUNCT__
3370 #define __FUNCT__ "TSMonitorDrawError"
3371 /*@C
3372    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3373    VecView() for the error at each timestep
3374 
3375    Collective on TS
3376 
3377    Input Parameters:
3378 +  ts - the TS context
3379 .  step - current time-step
3380 .  ptime - current time
3381 -  dummy - either a viewer or NULL
3382 
3383    Level: intermediate
3384 
3385 .keywords: TS,  vector, monitor, view
3386 
3387 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3388 @*/
3389 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3390 {
3391   PetscErrorCode   ierr;
3392   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3393   PetscViewer      viewer = ctx->viewer;
3394   Vec              work;
3395 
3396   PetscFunctionBegin;
3397   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3398   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3399   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3400   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3401   ierr = VecView(work,viewer);CHKERRQ(ierr);
3402   ierr = VecDestroy(&work);CHKERRQ(ierr);
3403   PetscFunctionReturn(0);
3404 }
3405 
3406 #include <petsc-private/dmimpl.h>
3407 #undef __FUNCT__
3408 #define __FUNCT__ "TSSetDM"
3409 /*@
3410    TSSetDM - Sets the DM that may be used by some preconditioners
3411 
3412    Logically Collective on TS and DM
3413 
3414    Input Parameters:
3415 +  ts - the preconditioner context
3416 -  dm - the dm
3417 
3418    Level: intermediate
3419 
3420 
3421 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3422 @*/
3423 PetscErrorCode  TSSetDM(TS ts,DM dm)
3424 {
3425   PetscErrorCode ierr;
3426   SNES           snes;
3427   DMTS           tsdm;
3428 
3429   PetscFunctionBegin;
3430   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3431   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3432   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3433     if (ts->dm->dmts && !dm->dmts) {
3434       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
3435       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
3436       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
3437         tsdm->originaldm = dm;
3438       }
3439     }
3440     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
3441   }
3442   ts->dm = dm;
3443 
3444   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3445   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
3446   PetscFunctionReturn(0);
3447 }
3448 
3449 #undef __FUNCT__
3450 #define __FUNCT__ "TSGetDM"
3451 /*@
3452    TSGetDM - Gets the DM that may be used by some preconditioners
3453 
3454    Not Collective
3455 
3456    Input Parameter:
3457 . ts - the preconditioner context
3458 
3459    Output Parameter:
3460 .  dm - the dm
3461 
3462    Level: intermediate
3463 
3464 
3465 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
3466 @*/
3467 PetscErrorCode  TSGetDM(TS ts,DM *dm)
3468 {
3469   PetscErrorCode ierr;
3470 
3471   PetscFunctionBegin;
3472   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3473   if (!ts->dm) {
3474     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
3475     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
3476   }
3477   *dm = ts->dm;
3478   PetscFunctionReturn(0);
3479 }
3480 
3481 #undef __FUNCT__
3482 #define __FUNCT__ "SNESTSFormFunction"
3483 /*@
3484    SNESTSFormFunction - Function to evaluate nonlinear residual
3485 
3486    Logically Collective on SNES
3487 
3488    Input Parameter:
3489 + snes - nonlinear solver
3490 . U - the current state at which to evaluate the residual
3491 - ctx - user context, must be a TS
3492 
3493    Output Parameter:
3494 . F - the nonlinear residual
3495 
3496    Notes:
3497    This function is not normally called by users and is automatically registered with the SNES used by TS.
3498    It is most frequently passed to MatFDColoringSetFunction().
3499 
3500    Level: advanced
3501 
3502 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
3503 @*/
3504 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
3505 {
3506   TS             ts = (TS)ctx;
3507   PetscErrorCode ierr;
3508 
3509   PetscFunctionBegin;
3510   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3511   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3512   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
3513   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
3514   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
3515   PetscFunctionReturn(0);
3516 }
3517 
3518 #undef __FUNCT__
3519 #define __FUNCT__ "SNESTSFormJacobian"
3520 /*@
3521    SNESTSFormJacobian - Function to evaluate the Jacobian
3522 
3523    Collective on SNES
3524 
3525    Input Parameter:
3526 + snes - nonlinear solver
3527 . U - the current state at which to evaluate the residual
3528 - ctx - user context, must be a TS
3529 
3530    Output Parameter:
3531 + A - the Jacobian
3532 . B - the preconditioning matrix (may be the same as A)
3533 - flag - indicates any structure change in the matrix
3534 
3535    Notes:
3536    This function is not normally called by users and is automatically registered with the SNES used by TS.
3537 
3538    Level: developer
3539 
3540 .seealso: SNESSetJacobian()
3541 @*/
3542 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
3543 {
3544   TS             ts = (TS)ctx;
3545   PetscErrorCode ierr;
3546 
3547   PetscFunctionBegin;
3548   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3549   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3550   PetscValidPointer(A,3);
3551   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
3552   PetscValidPointer(B,4);
3553   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
3554   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
3555   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
3556   PetscFunctionReturn(0);
3557 }
3558 
3559 #undef __FUNCT__
3560 #define __FUNCT__ "TSComputeRHSFunctionLinear"
3561 /*@C
3562    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
3563 
3564    Collective on TS
3565 
3566    Input Arguments:
3567 +  ts - time stepping context
3568 .  t - time at which to evaluate
3569 .  U - state at which to evaluate
3570 -  ctx - context
3571 
3572    Output Arguments:
3573 .  F - right hand side
3574 
3575    Level: intermediate
3576 
3577    Notes:
3578    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
3579    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
3580 
3581 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
3582 @*/
3583 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
3584 {
3585   PetscErrorCode ierr;
3586   Mat            Arhs,Brhs;
3587 
3588   PetscFunctionBegin;
3589   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
3590   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
3591   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
3592   PetscFunctionReturn(0);
3593 }
3594 
3595 #undef __FUNCT__
3596 #define __FUNCT__ "TSComputeRHSJacobianConstant"
3597 /*@C
3598    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
3599 
3600    Collective on TS
3601 
3602    Input Arguments:
3603 +  ts - time stepping context
3604 .  t - time at which to evaluate
3605 .  U - state at which to evaluate
3606 -  ctx - context
3607 
3608    Output Arguments:
3609 +  A - pointer to operator
3610 .  B - pointer to preconditioning matrix
3611 -  flg - matrix structure flag
3612 
3613    Level: intermediate
3614 
3615    Notes:
3616    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
3617 
3618 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
3619 @*/
3620 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
3621 {
3622   PetscFunctionBegin;
3623   PetscFunctionReturn(0);
3624 }
3625 
3626 #undef __FUNCT__
3627 #define __FUNCT__ "TSComputeIFunctionLinear"
3628 /*@C
3629    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
3630 
3631    Collective on TS
3632 
3633    Input Arguments:
3634 +  ts - time stepping context
3635 .  t - time at which to evaluate
3636 .  U - state at which to evaluate
3637 .  Udot - time derivative of state vector
3638 -  ctx - context
3639 
3640    Output Arguments:
3641 .  F - left hand side
3642 
3643    Level: intermediate
3644 
3645    Notes:
3646    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
3647    user is required to write their own TSComputeIFunction.
3648    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
3649    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
3650 
3651 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
3652 @*/
3653 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
3654 {
3655   PetscErrorCode ierr;
3656   Mat            A,B;
3657 
3658   PetscFunctionBegin;
3659   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
3660   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
3661   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
3662   PetscFunctionReturn(0);
3663 }
3664 
3665 #undef __FUNCT__
3666 #define __FUNCT__ "TSComputeIJacobianConstant"
3667 /*@C
3668    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
3669 
3670    Collective on TS
3671 
3672    Input Arguments:
3673 +  ts - time stepping context
3674 .  t - time at which to evaluate
3675 .  U - state at which to evaluate
3676 .  Udot - time derivative of state vector
3677 .  shift - shift to apply
3678 -  ctx - context
3679 
3680    Output Arguments:
3681 +  A - pointer to operator
3682 .  B - pointer to preconditioning matrix
3683 -  flg - matrix structure flag
3684 
3685    Level: advanced
3686 
3687    Notes:
3688    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
3689 
3690    It is only appropriate for problems of the form
3691 
3692 $     M Udot = F(U,t)
3693 
3694   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
3695   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
3696   an implicit operator of the form
3697 
3698 $    shift*M + J
3699 
3700   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
3701   a copy of M or reassemble it when requested.
3702 
3703 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
3704 @*/
3705 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
3706 {
3707   PetscErrorCode ierr;
3708 
3709   PetscFunctionBegin;
3710   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
3711   ts->ijacobian.shift = shift;
3712   PetscFunctionReturn(0);
3713 }
3714 
3715 #undef __FUNCT__
3716 #define __FUNCT__ "TSGetEquationType"
3717 /*@
3718    TSGetEquationType - Gets the type of the equation that TS is solving.
3719 
3720    Not Collective
3721 
3722    Input Parameter:
3723 .  ts - the TS context
3724 
3725    Output Parameter:
3726 .  equation_type - see TSEquationType
3727 
3728    Level: beginner
3729 
3730 .keywords: TS, equation type
3731 
3732 .seealso: TSSetEquationType(), TSEquationType
3733 @*/
3734 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
3735 {
3736   PetscFunctionBegin;
3737   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3738   PetscValidPointer(equation_type,2);
3739   *equation_type = ts->equation_type;
3740   PetscFunctionReturn(0);
3741 }
3742 
3743 #undef __FUNCT__
3744 #define __FUNCT__ "TSSetEquationType"
3745 /*@
3746    TSSetEquationType - Sets the type of the equation that TS is solving.
3747 
3748    Not Collective
3749 
3750    Input Parameter:
3751 +  ts - the TS context
3752 .  equation_type - see TSEquationType
3753 
3754    Level: advanced
3755 
3756 .keywords: TS, equation type
3757 
3758 .seealso: TSGetEquationType(), TSEquationType
3759 @*/
3760 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
3761 {
3762   PetscFunctionBegin;
3763   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3764   ts->equation_type = equation_type;
3765   PetscFunctionReturn(0);
3766 }
3767 
3768 #undef __FUNCT__
3769 #define __FUNCT__ "TSGetConvergedReason"
3770 /*@
3771    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
3772 
3773    Not Collective
3774 
3775    Input Parameter:
3776 .  ts - the TS context
3777 
3778    Output Parameter:
3779 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3780             manual pages for the individual convergence tests for complete lists
3781 
3782    Level: beginner
3783 
3784    Notes:
3785    Can only be called after the call to TSSolve() is complete.
3786 
3787 .keywords: TS, nonlinear, set, convergence, test
3788 
3789 .seealso: TSSetConvergenceTest(), TSConvergedReason
3790 @*/
3791 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
3792 {
3793   PetscFunctionBegin;
3794   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3795   PetscValidPointer(reason,2);
3796   *reason = ts->reason;
3797   PetscFunctionReturn(0);
3798 }
3799 
3800 #undef __FUNCT__
3801 #define __FUNCT__ "TSSetConvergedReason"
3802 /*@
3803    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
3804 
3805    Not Collective
3806 
3807    Input Parameter:
3808 +  ts - the TS context
3809 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3810             manual pages for the individual convergence tests for complete lists
3811 
3812    Level: advanced
3813 
3814    Notes:
3815    Can only be called during TSSolve() is active.
3816 
3817 .keywords: TS, nonlinear, set, convergence, test
3818 
3819 .seealso: TSConvergedReason
3820 @*/
3821 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
3822 {
3823   PetscFunctionBegin;
3824   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3825   ts->reason = reason;
3826   PetscFunctionReturn(0);
3827 }
3828 
3829 #undef __FUNCT__
3830 #define __FUNCT__ "TSGetSolveTime"
3831 /*@
3832    TSGetSolveTime - Gets the time after a call to TSSolve()
3833 
3834    Not Collective
3835 
3836    Input Parameter:
3837 .  ts - the TS context
3838 
3839    Output Parameter:
3840 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
3841 
3842    Level: beginner
3843 
3844    Notes:
3845    Can only be called after the call to TSSolve() is complete.
3846 
3847 .keywords: TS, nonlinear, set, convergence, test
3848 
3849 .seealso: TSSetConvergenceTest(), TSConvergedReason
3850 @*/
3851 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
3852 {
3853   PetscFunctionBegin;
3854   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3855   PetscValidPointer(ftime,2);
3856   *ftime = ts->solvetime;
3857   PetscFunctionReturn(0);
3858 }
3859 
3860 #undef __FUNCT__
3861 #define __FUNCT__ "TSGetSNESIterations"
3862 /*@
3863    TSGetSNESIterations - Gets the total number of nonlinear iterations
3864    used by the time integrator.
3865 
3866    Not Collective
3867 
3868    Input Parameter:
3869 .  ts - TS context
3870 
3871    Output Parameter:
3872 .  nits - number of nonlinear iterations
3873 
3874    Notes:
3875    This counter is reset to zero for each successive call to TSSolve().
3876 
3877    Level: intermediate
3878 
3879 .keywords: TS, get, number, nonlinear, iterations
3880 
3881 .seealso:  TSGetKSPIterations()
3882 @*/
3883 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
3884 {
3885   PetscFunctionBegin;
3886   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3887   PetscValidIntPointer(nits,2);
3888   *nits = ts->snes_its;
3889   PetscFunctionReturn(0);
3890 }
3891 
3892 #undef __FUNCT__
3893 #define __FUNCT__ "TSGetKSPIterations"
3894 /*@
3895    TSGetKSPIterations - Gets the total number of linear iterations
3896    used by the time integrator.
3897 
3898    Not Collective
3899 
3900    Input Parameter:
3901 .  ts - TS context
3902 
3903    Output Parameter:
3904 .  lits - number of linear iterations
3905 
3906    Notes:
3907    This counter is reset to zero for each successive call to TSSolve().
3908 
3909    Level: intermediate
3910 
3911 .keywords: TS, get, number, linear, iterations
3912 
3913 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
3914 @*/
3915 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
3916 {
3917   PetscFunctionBegin;
3918   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3919   PetscValidIntPointer(lits,2);
3920   *lits = ts->ksp_its;
3921   PetscFunctionReturn(0);
3922 }
3923 
3924 #undef __FUNCT__
3925 #define __FUNCT__ "TSGetStepRejections"
3926 /*@
3927    TSGetStepRejections - Gets the total number of rejected steps.
3928 
3929    Not Collective
3930 
3931    Input Parameter:
3932 .  ts - TS context
3933 
3934    Output Parameter:
3935 .  rejects - number of steps rejected
3936 
3937    Notes:
3938    This counter is reset to zero for each successive call to TSSolve().
3939 
3940    Level: intermediate
3941 
3942 .keywords: TS, get, number
3943 
3944 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
3945 @*/
3946 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
3947 {
3948   PetscFunctionBegin;
3949   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3950   PetscValidIntPointer(rejects,2);
3951   *rejects = ts->reject;
3952   PetscFunctionReturn(0);
3953 }
3954 
3955 #undef __FUNCT__
3956 #define __FUNCT__ "TSGetSNESFailures"
3957 /*@
3958    TSGetSNESFailures - Gets the total number of failed SNES solves
3959 
3960    Not Collective
3961 
3962    Input Parameter:
3963 .  ts - TS context
3964 
3965    Output Parameter:
3966 .  fails - number of failed nonlinear solves
3967 
3968    Notes:
3969    This counter is reset to zero for each successive call to TSSolve().
3970 
3971    Level: intermediate
3972 
3973 .keywords: TS, get, number
3974 
3975 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
3976 @*/
3977 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
3978 {
3979   PetscFunctionBegin;
3980   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3981   PetscValidIntPointer(fails,2);
3982   *fails = ts->num_snes_failures;
3983   PetscFunctionReturn(0);
3984 }
3985 
3986 #undef __FUNCT__
3987 #define __FUNCT__ "TSSetMaxStepRejections"
3988 /*@
3989    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
3990 
3991    Not Collective
3992 
3993    Input Parameter:
3994 +  ts - TS context
3995 -  rejects - maximum number of rejected steps, pass -1 for unlimited
3996 
3997    Notes:
3998    The counter is reset to zero for each step
3999 
4000    Options Database Key:
4001  .  -ts_max_reject - Maximum number of step rejections before a step fails
4002 
4003    Level: intermediate
4004 
4005 .keywords: TS, set, maximum, number
4006 
4007 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4008 @*/
4009 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
4010 {
4011   PetscFunctionBegin;
4012   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4013   ts->max_reject = rejects;
4014   PetscFunctionReturn(0);
4015 }
4016 
4017 #undef __FUNCT__
4018 #define __FUNCT__ "TSSetMaxSNESFailures"
4019 /*@
4020    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
4021 
4022    Not Collective
4023 
4024    Input Parameter:
4025 +  ts - TS context
4026 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
4027 
4028    Notes:
4029    The counter is reset to zero for each successive call to TSSolve().
4030 
4031    Options Database Key:
4032  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
4033 
4034    Level: intermediate
4035 
4036 .keywords: TS, set, maximum, number
4037 
4038 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
4039 @*/
4040 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
4041 {
4042   PetscFunctionBegin;
4043   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4044   ts->max_snes_failures = fails;
4045   PetscFunctionReturn(0);
4046 }
4047 
4048 #undef __FUNCT__
4049 #define __FUNCT__ "TSSetErrorIfStepFails"
4050 /*@
4051    TSSetErrorIfStepFails - Error if no step succeeds
4052 
4053    Not Collective
4054 
4055    Input Parameter:
4056 +  ts - TS context
4057 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
4058 
4059    Options Database Key:
4060  .  -ts_error_if_step_fails - Error if no step succeeds
4061 
4062    Level: intermediate
4063 
4064 .keywords: TS, set, error
4065 
4066 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
4067 @*/
4068 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
4069 {
4070   PetscFunctionBegin;
4071   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4072   ts->errorifstepfailed = err;
4073   PetscFunctionReturn(0);
4074 }
4075 
4076 #undef __FUNCT__
4077 #define __FUNCT__ "TSMonitorSolutionBinary"
4078 /*@C
4079    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
4080 
4081    Collective on TS
4082 
4083    Input Parameters:
4084 +  ts - the TS context
4085 .  step - current time-step
4086 .  ptime - current time
4087 .  u - current state
4088 -  viewer - binary viewer
4089 
4090    Level: intermediate
4091 
4092 .keywords: TS,  vector, monitor, view
4093 
4094 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4095 @*/
4096 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
4097 {
4098   PetscErrorCode ierr;
4099   PetscViewer    v = (PetscViewer)viewer;
4100 
4101   PetscFunctionBegin;
4102   ierr = VecView(u,v);CHKERRQ(ierr);
4103   PetscFunctionReturn(0);
4104 }
4105 
4106 #undef __FUNCT__
4107 #define __FUNCT__ "TSMonitorSolutionVTK"
4108 /*@C
4109    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4110 
4111    Collective on TS
4112 
4113    Input Parameters:
4114 +  ts - the TS context
4115 .  step - current time-step
4116 .  ptime - current time
4117 .  u - current state
4118 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4119 
4120    Level: intermediate
4121 
4122    Notes:
4123    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.
4124    These are named according to the file name template.
4125 
4126    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4127 
4128 .keywords: TS,  vector, monitor, view
4129 
4130 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4131 @*/
4132 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4133 {
4134   PetscErrorCode ierr;
4135   char           filename[PETSC_MAX_PATH_LEN];
4136   PetscViewer    viewer;
4137 
4138   PetscFunctionBegin;
4139   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4140   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4141   ierr = VecView(u,viewer);CHKERRQ(ierr);
4142   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4143   PetscFunctionReturn(0);
4144 }
4145 
4146 #undef __FUNCT__
4147 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4148 /*@C
4149    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4150 
4151    Collective on TS
4152 
4153    Input Parameters:
4154 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4155 
4156    Level: intermediate
4157 
4158    Note:
4159    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4160 
4161 .keywords: TS,  vector, monitor, view
4162 
4163 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4164 @*/
4165 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4166 {
4167   PetscErrorCode ierr;
4168 
4169   PetscFunctionBegin;
4170   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4171   PetscFunctionReturn(0);
4172 }
4173 
4174 #undef __FUNCT__
4175 #define __FUNCT__ "TSGetAdapt"
4176 /*@
4177    TSGetAdapt - Get the adaptive controller context for the current method
4178 
4179    Collective on TS if controller has not been created yet
4180 
4181    Input Arguments:
4182 .  ts - time stepping context
4183 
4184    Output Arguments:
4185 .  adapt - adaptive controller
4186 
4187    Level: intermediate
4188 
4189 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4190 @*/
4191 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4192 {
4193   PetscErrorCode ierr;
4194 
4195   PetscFunctionBegin;
4196   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4197   PetscValidPointer(adapt,2);
4198   if (!ts->adapt) {
4199     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4200     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
4201     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4202   }
4203   *adapt = ts->adapt;
4204   PetscFunctionReturn(0);
4205 }
4206 
4207 #undef __FUNCT__
4208 #define __FUNCT__ "TSSetTolerances"
4209 /*@
4210    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4211 
4212    Logically Collective
4213 
4214    Input Arguments:
4215 +  ts - time integration context
4216 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4217 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4218 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4219 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4220 
4221    Level: beginner
4222 
4223 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4224 @*/
4225 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4226 {
4227   PetscErrorCode ierr;
4228 
4229   PetscFunctionBegin;
4230   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4231   if (vatol) {
4232     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4233     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4234 
4235     ts->vatol = vatol;
4236   }
4237   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4238   if (vrtol) {
4239     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4240     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4241 
4242     ts->vrtol = vrtol;
4243   }
4244   PetscFunctionReturn(0);
4245 }
4246 
4247 #undef __FUNCT__
4248 #define __FUNCT__ "TSGetTolerances"
4249 /*@
4250    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4251 
4252    Logically Collective
4253 
4254    Input Arguments:
4255 .  ts - time integration context
4256 
4257    Output Arguments:
4258 +  atol - scalar absolute tolerances, NULL to ignore
4259 .  vatol - vector of absolute tolerances, NULL to ignore
4260 .  rtol - scalar relative tolerances, NULL to ignore
4261 -  vrtol - vector of relative tolerances, NULL to ignore
4262 
4263    Level: beginner
4264 
4265 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4266 @*/
4267 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4268 {
4269   PetscFunctionBegin;
4270   if (atol)  *atol  = ts->atol;
4271   if (vatol) *vatol = ts->vatol;
4272   if (rtol)  *rtol  = ts->rtol;
4273   if (vrtol) *vrtol = ts->vrtol;
4274   PetscFunctionReturn(0);
4275 }
4276 
4277 #undef __FUNCT__
4278 #define __FUNCT__ "TSErrorNormWRMS"
4279 /*@
4280    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4281 
4282    Collective on TS
4283 
4284    Input Arguments:
4285 +  ts - time stepping context
4286 -  Y - state vector to be compared to ts->vec_sol
4287 
4288    Output Arguments:
4289 .  norm - weighted norm, a value of 1.0 is considered small
4290 
4291    Level: developer
4292 
4293 .seealso: TSSetTolerances()
4294 @*/
4295 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4296 {
4297   PetscErrorCode    ierr;
4298   PetscInt          i,n,N;
4299   const PetscScalar *u,*y;
4300   Vec               U;
4301   PetscReal         sum,gsum;
4302 
4303   PetscFunctionBegin;
4304   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4305   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4306   PetscValidPointer(norm,3);
4307   U = ts->vec_sol;
4308   PetscCheckSameTypeAndComm(U,1,Y,2);
4309   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4310 
4311   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4312   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4313   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4314   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4315   sum  = 0.;
4316   if (ts->vatol && ts->vrtol) {
4317     const PetscScalar *atol,*rtol;
4318     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4319     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4320     for (i=0; i<n; i++) {
4321       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4322       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4323     }
4324     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4325     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4326   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4327     const PetscScalar *atol;
4328     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4329     for (i=0; i<n; i++) {
4330       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4331       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4332     }
4333     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4334   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4335     const PetscScalar *rtol;
4336     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4337     for (i=0; i<n; i++) {
4338       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4339       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4340     }
4341     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4342   } else {                      /* scalar atol, scalar rtol */
4343     for (i=0; i<n; i++) {
4344       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4345       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4346     }
4347   }
4348   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4349   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4350 
4351   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4352   *norm = PetscSqrtReal(gsum / N);
4353   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4354   PetscFunctionReturn(0);
4355 }
4356 
4357 #undef __FUNCT__
4358 #define __FUNCT__ "TSSetCFLTimeLocal"
4359 /*@
4360    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4361 
4362    Logically Collective on TS
4363 
4364    Input Arguments:
4365 +  ts - time stepping context
4366 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4367 
4368    Note:
4369    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4370 
4371    Level: intermediate
4372 
4373 .seealso: TSGetCFLTime(), TSADAPTCFL
4374 @*/
4375 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4376 {
4377   PetscFunctionBegin;
4378   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4379   ts->cfltime_local = cfltime;
4380   ts->cfltime       = -1.;
4381   PetscFunctionReturn(0);
4382 }
4383 
4384 #undef __FUNCT__
4385 #define __FUNCT__ "TSGetCFLTime"
4386 /*@
4387    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4388 
4389    Collective on TS
4390 
4391    Input Arguments:
4392 .  ts - time stepping context
4393 
4394    Output Arguments:
4395 .  cfltime - maximum stable time step for forward Euler
4396 
4397    Level: advanced
4398 
4399 .seealso: TSSetCFLTimeLocal()
4400 @*/
4401 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4402 {
4403   PetscErrorCode ierr;
4404 
4405   PetscFunctionBegin;
4406   if (ts->cfltime < 0) {
4407     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4408   }
4409   *cfltime = ts->cfltime;
4410   PetscFunctionReturn(0);
4411 }
4412 
4413 #undef __FUNCT__
4414 #define __FUNCT__ "TSVISetVariableBounds"
4415 /*@
4416    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4417 
4418    Input Parameters:
4419 .  ts   - the TS context.
4420 .  xl   - lower bound.
4421 .  xu   - upper bound.
4422 
4423    Notes:
4424    If this routine is not called then the lower and upper bounds are set to
4425    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
4426 
4427    Level: advanced
4428 
4429 @*/
4430 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
4431 {
4432   PetscErrorCode ierr;
4433   SNES           snes;
4434 
4435   PetscFunctionBegin;
4436   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4437   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
4438   PetscFunctionReturn(0);
4439 }
4440 
4441 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4442 #include <mex.h>
4443 
4444 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
4445 
4446 #undef __FUNCT__
4447 #define __FUNCT__ "TSComputeFunction_Matlab"
4448 /*
4449    TSComputeFunction_Matlab - Calls the function that has been set with
4450                          TSSetFunctionMatlab().
4451 
4452    Collective on TS
4453 
4454    Input Parameters:
4455 +  snes - the TS context
4456 -  u - input vector
4457 
4458    Output Parameter:
4459 .  y - function vector, as set by TSSetFunction()
4460 
4461    Notes:
4462    TSComputeFunction() is typically used within nonlinear solvers
4463    implementations, so most users would not generally call this routine
4464    themselves.
4465 
4466    Level: developer
4467 
4468 .keywords: TS, nonlinear, compute, function
4469 
4470 .seealso: TSSetFunction(), TSGetFunction()
4471 */
4472 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
4473 {
4474   PetscErrorCode  ierr;
4475   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4476   int             nlhs  = 1,nrhs = 7;
4477   mxArray         *plhs[1],*prhs[7];
4478   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
4479 
4480   PetscFunctionBegin;
4481   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
4482   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4483   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
4484   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
4485   PetscCheckSameComm(snes,1,u,3);
4486   PetscCheckSameComm(snes,1,y,5);
4487 
4488   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4489   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4490   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
4491   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
4492 
4493   prhs[0] =  mxCreateDoubleScalar((double)ls);
4494   prhs[1] =  mxCreateDoubleScalar(time);
4495   prhs[2] =  mxCreateDoubleScalar((double)lx);
4496   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4497   prhs[4] =  mxCreateDoubleScalar((double)ly);
4498   prhs[5] =  mxCreateString(sctx->funcname);
4499   prhs[6] =  sctx->ctx;
4500   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
4501   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4502   mxDestroyArray(prhs[0]);
4503   mxDestroyArray(prhs[1]);
4504   mxDestroyArray(prhs[2]);
4505   mxDestroyArray(prhs[3]);
4506   mxDestroyArray(prhs[4]);
4507   mxDestroyArray(prhs[5]);
4508   mxDestroyArray(plhs[0]);
4509   PetscFunctionReturn(0);
4510 }
4511 
4512 
4513 #undef __FUNCT__
4514 #define __FUNCT__ "TSSetFunctionMatlab"
4515 /*
4516    TSSetFunctionMatlab - Sets the function evaluation routine and function
4517    vector for use by the TS routines in solving ODEs
4518    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4519 
4520    Logically Collective on TS
4521 
4522    Input Parameters:
4523 +  ts - the TS context
4524 -  func - function evaluation routine
4525 
4526    Calling sequence of func:
4527 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
4528 
4529    Level: beginner
4530 
4531 .keywords: TS, nonlinear, set, function
4532 
4533 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4534 */
4535 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
4536 {
4537   PetscErrorCode  ierr;
4538   TSMatlabContext *sctx;
4539 
4540   PetscFunctionBegin;
4541   /* currently sctx is memory bleed */
4542   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4543   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4544   /*
4545      This should work, but it doesn't
4546   sctx->ctx = ctx;
4547   mexMakeArrayPersistent(sctx->ctx);
4548   */
4549   sctx->ctx = mxDuplicateArray(ctx);
4550 
4551   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4552   PetscFunctionReturn(0);
4553 }
4554 
4555 #undef __FUNCT__
4556 #define __FUNCT__ "TSComputeJacobian_Matlab"
4557 /*
4558    TSComputeJacobian_Matlab - Calls the function that has been set with
4559                          TSSetJacobianMatlab().
4560 
4561    Collective on TS
4562 
4563    Input Parameters:
4564 +  ts - the TS context
4565 .  u - input vector
4566 .  A, B - the matrices
4567 -  ctx - user context
4568 
4569    Output Parameter:
4570 .  flag - structure of the matrix
4571 
4572    Level: developer
4573 
4574 .keywords: TS, nonlinear, compute, function
4575 
4576 .seealso: TSSetFunction(), TSGetFunction()
4577 @*/
4578 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flag, void *ctx)
4579 {
4580   PetscErrorCode  ierr;
4581   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4582   int             nlhs  = 2,nrhs = 9;
4583   mxArray         *plhs[2],*prhs[9];
4584   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
4585 
4586   PetscFunctionBegin;
4587   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4588   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4589 
4590   /* call Matlab function in ctx with arguments u and y */
4591 
4592   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4593   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4594   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
4595   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
4596   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
4597 
4598   prhs[0] =  mxCreateDoubleScalar((double)ls);
4599   prhs[1] =  mxCreateDoubleScalar((double)time);
4600   prhs[2] =  mxCreateDoubleScalar((double)lx);
4601   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4602   prhs[4] =  mxCreateDoubleScalar((double)shift);
4603   prhs[5] =  mxCreateDoubleScalar((double)lA);
4604   prhs[6] =  mxCreateDoubleScalar((double)lB);
4605   prhs[7] =  mxCreateString(sctx->funcname);
4606   prhs[8] =  sctx->ctx;
4607   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
4608   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4609   *flag   =  (MatStructure) mxGetScalar(plhs[1]);CHKERRQ(ierr);
4610   mxDestroyArray(prhs[0]);
4611   mxDestroyArray(prhs[1]);
4612   mxDestroyArray(prhs[2]);
4613   mxDestroyArray(prhs[3]);
4614   mxDestroyArray(prhs[4]);
4615   mxDestroyArray(prhs[5]);
4616   mxDestroyArray(prhs[6]);
4617   mxDestroyArray(prhs[7]);
4618   mxDestroyArray(plhs[0]);
4619   mxDestroyArray(plhs[1]);
4620   PetscFunctionReturn(0);
4621 }
4622 
4623 
4624 #undef __FUNCT__
4625 #define __FUNCT__ "TSSetJacobianMatlab"
4626 /*
4627    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4628    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
4629 
4630    Logically Collective on TS
4631 
4632    Input Parameters:
4633 +  ts - the TS context
4634 .  A,B - Jacobian matrices
4635 .  func - function evaluation routine
4636 -  ctx - user context
4637 
4638    Calling sequence of func:
4639 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
4640 
4641 
4642    Level: developer
4643 
4644 .keywords: TS, nonlinear, set, function
4645 
4646 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4647 */
4648 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
4649 {
4650   PetscErrorCode  ierr;
4651   TSMatlabContext *sctx;
4652 
4653   PetscFunctionBegin;
4654   /* currently sctx is memory bleed */
4655   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4656   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4657   /*
4658      This should work, but it doesn't
4659   sctx->ctx = ctx;
4660   mexMakeArrayPersistent(sctx->ctx);
4661   */
4662   sctx->ctx = mxDuplicateArray(ctx);
4663 
4664   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4665   PetscFunctionReturn(0);
4666 }
4667 
4668 #undef __FUNCT__
4669 #define __FUNCT__ "TSMonitor_Matlab"
4670 /*
4671    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
4672 
4673    Collective on TS
4674 
4675 .seealso: TSSetFunction(), TSGetFunction()
4676 @*/
4677 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
4678 {
4679   PetscErrorCode  ierr;
4680   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4681   int             nlhs  = 1,nrhs = 6;
4682   mxArray         *plhs[1],*prhs[6];
4683   long long int   lx = 0,ls = 0;
4684 
4685   PetscFunctionBegin;
4686   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4687   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4688 
4689   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4690   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4691 
4692   prhs[0] =  mxCreateDoubleScalar((double)ls);
4693   prhs[1] =  mxCreateDoubleScalar((double)it);
4694   prhs[2] =  mxCreateDoubleScalar((double)time);
4695   prhs[3] =  mxCreateDoubleScalar((double)lx);
4696   prhs[4] =  mxCreateString(sctx->funcname);
4697   prhs[5] =  sctx->ctx;
4698   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
4699   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4700   mxDestroyArray(prhs[0]);
4701   mxDestroyArray(prhs[1]);
4702   mxDestroyArray(prhs[2]);
4703   mxDestroyArray(prhs[3]);
4704   mxDestroyArray(prhs[4]);
4705   mxDestroyArray(plhs[0]);
4706   PetscFunctionReturn(0);
4707 }
4708 
4709 
4710 #undef __FUNCT__
4711 #define __FUNCT__ "TSMonitorSetMatlab"
4712 /*
4713    TSMonitorSetMatlab - Sets the monitor function from Matlab
4714 
4715    Level: developer
4716 
4717 .keywords: TS, nonlinear, set, function
4718 
4719 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4720 */
4721 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
4722 {
4723   PetscErrorCode  ierr;
4724   TSMatlabContext *sctx;
4725 
4726   PetscFunctionBegin;
4727   /* currently sctx is memory bleed */
4728   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4729   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4730   /*
4731      This should work, but it doesn't
4732   sctx->ctx = ctx;
4733   mexMakeArrayPersistent(sctx->ctx);
4734   */
4735   sctx->ctx = mxDuplicateArray(ctx);
4736 
4737   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
4738   PetscFunctionReturn(0);
4739 }
4740 #endif
4741 
4742 
4743 
4744 #undef __FUNCT__
4745 #define __FUNCT__ "TSMonitorLGSolution"
4746 /*@C
4747    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
4748        in a time based line graph
4749 
4750    Collective on TS
4751 
4752    Input Parameters:
4753 +  ts - the TS context
4754 .  step - current time-step
4755 .  ptime - current time
4756 -  lg - a line graph object
4757 
4758    Level: intermediate
4759 
4760     Notes: each process in a parallel run displays its component solutions in a separate window
4761 
4762 .keywords: TS,  vector, monitor, view
4763 
4764 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4765 @*/
4766 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4767 {
4768   PetscErrorCode    ierr;
4769   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4770   const PetscScalar *yy;
4771   PetscInt          dim;
4772 
4773   PetscFunctionBegin;
4774   if (!step) {
4775     PetscDrawAxis axis;
4776     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4777     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
4778     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4779     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4780     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4781   }
4782   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
4783 #if defined(PETSC_USE_COMPLEX)
4784   {
4785     PetscReal *yreal;
4786     PetscInt  i,n;
4787     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
4788     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4789     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4790     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4791     ierr = PetscFree(yreal);CHKERRQ(ierr);
4792   }
4793 #else
4794   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4795 #endif
4796   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
4797   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4798     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4799   }
4800   PetscFunctionReturn(0);
4801 }
4802 
4803 #undef __FUNCT__
4804 #define __FUNCT__ "TSMonitorLGError"
4805 /*@C
4806    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
4807        in a time based line graph
4808 
4809    Collective on TS
4810 
4811    Input Parameters:
4812 +  ts - the TS context
4813 .  step - current time-step
4814 .  ptime - current time
4815 -  lg - a line graph object
4816 
4817    Level: intermediate
4818 
4819    Notes:
4820    Only for sequential solves.
4821 
4822    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
4823 
4824    Options Database Keys:
4825 .  -ts_monitor_lg_error - create a graphical monitor of error history
4826 
4827 .keywords: TS,  vector, monitor, view
4828 
4829 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
4830 @*/
4831 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4832 {
4833   PetscErrorCode    ierr;
4834   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4835   const PetscScalar *yy;
4836   Vec               y;
4837   PetscInt          dim;
4838 
4839   PetscFunctionBegin;
4840   if (!step) {
4841     PetscDrawAxis axis;
4842     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4843     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
4844     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4845     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4846     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4847   }
4848   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
4849   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
4850   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
4851   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
4852 #if defined(PETSC_USE_COMPLEX)
4853   {
4854     PetscReal *yreal;
4855     PetscInt  i,n;
4856     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
4857     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
4858     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4859     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4860     ierr = PetscFree(yreal);CHKERRQ(ierr);
4861   }
4862 #else
4863   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4864 #endif
4865   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
4866   ierr = VecDestroy(&y);CHKERRQ(ierr);
4867   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4868     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4869   }
4870   PetscFunctionReturn(0);
4871 }
4872 
4873 #undef __FUNCT__
4874 #define __FUNCT__ "TSMonitorLGSNESIterations"
4875 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4876 {
4877   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4878   PetscReal      x   = ptime,y;
4879   PetscErrorCode ierr;
4880   PetscInt       its;
4881 
4882   PetscFunctionBegin;
4883   if (!n) {
4884     PetscDrawAxis axis;
4885 
4886     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4887     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
4888     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4889 
4890     ctx->snes_its = 0;
4891   }
4892   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
4893   y    = its - ctx->snes_its;
4894   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4895   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4896     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4897   }
4898   ctx->snes_its = its;
4899   PetscFunctionReturn(0);
4900 }
4901 
4902 #undef __FUNCT__
4903 #define __FUNCT__ "TSMonitorLGKSPIterations"
4904 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4905 {
4906   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4907   PetscReal      x   = ptime,y;
4908   PetscErrorCode ierr;
4909   PetscInt       its;
4910 
4911   PetscFunctionBegin;
4912   if (!n) {
4913     PetscDrawAxis axis;
4914 
4915     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4916     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
4917     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4918 
4919     ctx->ksp_its = 0;
4920   }
4921   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
4922   y    = its - ctx->ksp_its;
4923   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4924   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4925     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4926   }
4927   ctx->ksp_its = its;
4928   PetscFunctionReturn(0);
4929 }
4930 
4931 #undef __FUNCT__
4932 #define __FUNCT__ "TSComputeLinearStability"
4933 /*@
4934    TSComputeLinearStability - computes the linear stability function at a point
4935 
4936    Collective on TS and Vec
4937 
4938    Input Parameters:
4939 +  ts - the TS context
4940 -  xr,xi - real and imaginary part of input arguments
4941 
4942    Output Parameters:
4943 .  yr,yi - real and imaginary part of function value
4944 
4945    Level: developer
4946 
4947 .keywords: TS, compute
4948 
4949 .seealso: TSSetRHSFunction(), TSComputeIFunction()
4950 @*/
4951 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
4952 {
4953   PetscErrorCode ierr;
4954 
4955   PetscFunctionBegin;
4956   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4957   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
4958   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
4959   PetscFunctionReturn(0);
4960 }
4961 
4962 #undef __FUNCT__
4963 #define __FUNCT__ "TSRollBack"
4964 /*@
4965    TSRollBack - Rolls back one time step
4966 
4967    Collective on TS
4968 
4969    Input Parameter:
4970 .  ts - the TS context obtained from TSCreate()
4971 
4972    Level: advanced
4973 
4974 .keywords: TS, timestep, rollback
4975 
4976 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
4977 @*/
4978 PetscErrorCode  TSRollBack(TS ts)
4979 {
4980   PetscErrorCode ierr;
4981 
4982   PetscFunctionBegin;
4983   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
4984 
4985   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
4986   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
4987   ts->time_step = ts->ptime - ts->ptime_prev;
4988   ts->ptime = ts->ptime_prev;
4989   PetscFunctionReturn(0);
4990 }
4991 
4992