xref: /petsc/src/ts/interface/ts.c (revision eeae5b0c3699828540f6a0ff93e6f0217c9ca45e)
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 = PetscOptionsList("-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   /* Monitor options */
131   ierr = PetscOptionsString("-ts_monitor","Monitor timestep size","TSMonitorDefault","stdout",monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
132   if (flg) {
133     ierr = PetscViewerASCIIOpen(PetscObjectComm((PetscObject)ts),monfilename,&monviewer);CHKERRQ(ierr);
134     ierr = TSMonitorSet(ts,TSMonitorDefault,monviewer,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
135   }
136   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
137   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
138 
139   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
140   if (opt) {
141     TSMonitorLGCtx ctx;
142     PetscInt       howoften = 1;
143 
144     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
145     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
146     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
147   }
148   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
149   if (opt) {
150     TSMonitorLGCtx ctx;
151     PetscInt       howoften = 1;
152 
153     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
154     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
155     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
156   }
157   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
158   if (opt) {
159     TSMonitorLGCtx ctx;
160     PetscInt       howoften = 1;
161 
162     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
163     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
164     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
165   }
166   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
167   if (opt) {
168     TSMonitorLGCtx ctx;
169     PetscInt       howoften = 1;
170 
171     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
172     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
173     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
174   }
175   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
176   if (opt) {
177     TSMonitorLGCtx ctx;
178     PetscInt       howoften = 1;
179 
180     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
181     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
182     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
183   }
184   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
185   if (opt) {
186     TSMonitorSPEigCtx ctx;
187     PetscInt          howoften = 1;
188 
189     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
190     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
191     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
192   }
193   opt  = PETSC_FALSE;
194   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
195   if (opt) {
196     TSMonitorDrawCtx ctx;
197     PetscInt         howoften = 1;
198 
199     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
200     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
201     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
202   }
203   opt  = PETSC_FALSE;
204   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
205   if (opt) {
206     TSMonitorDrawCtx ctx;
207     PetscReal        bounds[4];
208     PetscInt         n = 4;
209     PetscDraw        draw;
210 
211     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
212     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
213     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,1,&ctx);CHKERRQ(ierr);
214     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
215     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
216     ierr = PetscDrawAxisCreate(draw,&ctx->axis);CHKERRQ(ierr);
217     ierr = PetscDrawAxisSetLimits(ctx->axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
218     ierr = PetscDrawAxisSetLabels(ctx->axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
219     ierr = PetscDrawAxisDraw(ctx->axis);CHKERRQ(ierr);
220     /* ierr = PetscDrawSetCoordinates(draw,bounds[0],bounds[1],bounds[2],bounds[3]);CHKERRQ(ierr); */
221     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
222   }
223   opt  = PETSC_FALSE;
224   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
225   if (opt) {
226     TSMonitorDrawCtx ctx;
227     PetscInt         howoften = 1;
228 
229     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
230     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&ctx);CHKERRQ(ierr);
231     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
232   }
233   opt  = PETSC_FALSE;
234   ierr = PetscOptionsString("-ts_monitor_solution_binary","Save each solution to a binary file","TSMonitorSolutionBinary",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
235   if (flg) {
236     PetscViewer ctx;
237     if (monfilename[0]) {
238       ierr = PetscViewerBinaryOpen(PetscObjectComm((PetscObject)ts),monfilename,FILE_MODE_WRITE,&ctx);CHKERRQ(ierr);
239       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))PetscViewerDestroy);CHKERRQ(ierr);
240     } else {
241       ctx = PETSC_VIEWER_BINARY_(PetscObjectComm((PetscObject)ts));
242       ierr = TSMonitorSet(ts,TSMonitorSolutionBinary,ctx,(PetscErrorCode (*)(void**))NULL);CHKERRQ(ierr);
243     }
244   }
245   opt  = PETSC_FALSE;
246   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);
247   if (flg) {
248     const char *ptr,*ptr2;
249     char       *filetemplate;
250     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
251     /* Do some cursory validation of the input. */
252     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
253     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
254     for (ptr++; ptr && *ptr; ptr++) {
255       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
256       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");
257       if (ptr2) break;
258     }
259     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
260     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
261   }
262 
263   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
264   if (flg) {
265     TSMonitorDMDARayCtx *rayctx;
266     int                 ray = 0;
267     DMDADirection       ddir;
268     DM                  da;
269     PetscMPIInt         rank;
270 
271     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
272     if (dir[0] == 'x') ddir = DMDA_X;
273     else if (dir[0] == 'y') ddir = DMDA_Y;
274     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
275     sscanf(dir+2,"%d",&ray);
276 
277     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
278     ierr = PetscNew(TSMonitorDMDARayCtx,&rayctx);CHKERRQ(ierr);
279     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
280     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
281     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
282     if (!rank) {
283       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
284     }
285     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
286   }
287 
288   ierr = TSGetAdapt(ts,&adapt);CHKERRQ(ierr);
289   ierr = TSAdaptSetFromOptions(adapt);CHKERRQ(ierr);
290 
291   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
292   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);}
293 
294   /* Handle specific TS options */
295   if (ts->ops->setfromoptions) {
296     ierr = (*ts->ops->setfromoptions)(ts);CHKERRQ(ierr);
297   }
298 
299   /* process any options handlers added with PetscObjectAddOptionsHandler() */
300   ierr = PetscObjectProcessOptionsHandlers((PetscObject)ts);CHKERRQ(ierr);
301   ierr = PetscOptionsEnd();CHKERRQ(ierr);
302   PetscFunctionReturn(0);
303 }
304 
305 #undef __FUNCT__
306 #undef __FUNCT__
307 #define __FUNCT__ "TSComputeRHSJacobian"
308 /*@
309    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
310       set with TSSetRHSJacobian().
311 
312    Collective on TS and Vec
313 
314    Input Parameters:
315 +  ts - the TS context
316 .  t - current timestep
317 -  U - input vector
318 
319    Output Parameters:
320 +  A - Jacobian matrix
321 .  B - optional preconditioning matrix
322 -  flag - flag indicating matrix structure
323 
324    Notes:
325    Most users should not need to explicitly call this routine, as it
326    is used internally within the nonlinear solvers.
327 
328    See KSPSetOperators() for important information about setting the
329    flag parameter.
330 
331    Level: developer
332 
333 .keywords: SNES, compute, Jacobian, matrix
334 
335 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
336 @*/
337 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg)
338 {
339   PetscErrorCode ierr;
340   PetscInt       Ustate;
341   DM             dm;
342   DMTS           tsdm;
343   TSRHSJacobian  rhsjacobianfunc;
344   void           *ctx;
345   TSIJacobian    ijacobianfunc;
346 
347   PetscFunctionBegin;
348   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
349   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
350   PetscCheckSameComm(ts,1,U,3);
351   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
352   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
353   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
354   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
355   ierr = PetscObjectStateQuery((PetscObject)U,&Ustate);CHKERRQ(ierr);
356   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate))) {
357     *flg = ts->rhsjacobian.mstructure;
358     PetscFunctionReturn(0);
359   }
360 
361   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
362 
363   if (ts->rhsjacobian.reuse) {
364     ierr = MatShift(*A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
365     ierr = MatScale(*A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
366     if (*A != *B) {
367       ierr = MatShift(*B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
368       ierr = MatScale(*B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
369     }
370     ts->rhsjacobian.shift = 0;
371     ts->rhsjacobian.scale = 1.;
372   }
373 
374   if (rhsjacobianfunc) {
375     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
376     *flg = DIFFERENT_NONZERO_PATTERN;
377     PetscStackPush("TS user Jacobian function");
378     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,flg,ctx);CHKERRQ(ierr);
379     PetscStackPop;
380     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
381     /* make sure user returned a correct Jacobian and preconditioner */
382     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
383     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
384   } else {
385     ierr = MatZeroEntries(*A);CHKERRQ(ierr);
386     if (*A != *B) {ierr = MatZeroEntries(*B);CHKERRQ(ierr);}
387     *flg = SAME_NONZERO_PATTERN;
388   }
389   ts->rhsjacobian.time       = t;
390   ts->rhsjacobian.X          = U;
391   ierr                       = PetscObjectStateQuery((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
392   ts->rhsjacobian.mstructure = *flg;
393   PetscFunctionReturn(0);
394 }
395 
396 #undef __FUNCT__
397 #define __FUNCT__ "TSComputeRHSFunction"
398 /*@
399    TSComputeRHSFunction - Evaluates the right-hand-side function.
400 
401    Collective on TS and Vec
402 
403    Input Parameters:
404 +  ts - the TS context
405 .  t - current time
406 -  U - state vector
407 
408    Output Parameter:
409 .  y - right hand side
410 
411    Note:
412    Most users should not need to explicitly call this routine, as it
413    is used internally within the nonlinear solvers.
414 
415    Level: developer
416 
417 .keywords: TS, compute
418 
419 .seealso: TSSetRHSFunction(), TSComputeIFunction()
420 @*/
421 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
422 {
423   PetscErrorCode ierr;
424   TSRHSFunction  rhsfunction;
425   TSIFunction    ifunction;
426   void           *ctx;
427   DM             dm;
428 
429   PetscFunctionBegin;
430   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
431   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
432   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
433   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
434   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
435   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
436 
437   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
438 
439   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
440   if (rhsfunction) {
441     PetscStackPush("TS user right-hand-side function");
442     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
443     PetscStackPop;
444   } else {
445     ierr = VecZeroEntries(y);CHKERRQ(ierr);
446   }
447 
448   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSComputeSolutionFunction"
454 /*@
455    TSComputeSolutionFunction - Evaluates the solution function.
456 
457    Collective on TS and Vec
458 
459    Input Parameters:
460 +  ts - the TS context
461 -  t - current time
462 
463    Output Parameter:
464 .  U - the solution
465 
466    Note:
467    Most users should not need to explicitly call this routine, as it
468    is used internally within the nonlinear solvers.
469 
470    Level: developer
471 
472 .keywords: TS, compute
473 
474 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
475 @*/
476 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
477 {
478   PetscErrorCode     ierr;
479   TSSolutionFunction solutionfunction;
480   void               *ctx;
481   DM                 dm;
482 
483   PetscFunctionBegin;
484   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
485   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
486   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
487   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
488 
489   if (solutionfunction) {
490     PetscStackPush("TS user solution function");
491     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
492     PetscStackPop;
493   }
494   PetscFunctionReturn(0);
495 }
496 #undef __FUNCT__
497 #define __FUNCT__ "TSComputeForcingFunction"
498 /*@
499    TSComputeForcingFunction - Evaluates the forcing function.
500 
501    Collective on TS and Vec
502 
503    Input Parameters:
504 +  ts - the TS context
505 -  t - current time
506 
507    Output Parameter:
508 .  U - the function value
509 
510    Note:
511    Most users should not need to explicitly call this routine, as it
512    is used internally within the nonlinear solvers.
513 
514    Level: developer
515 
516 .keywords: TS, compute
517 
518 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
519 @*/
520 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
521 {
522   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
523   void               *ctx;
524   DM                 dm;
525 
526   PetscFunctionBegin;
527   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
528   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
531 
532   if (forcing) {
533     PetscStackPush("TS user forcing function");
534     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
535     PetscStackPop;
536   }
537   PetscFunctionReturn(0);
538 }
539 
540 #undef __FUNCT__
541 #define __FUNCT__ "TSGetRHSVec_Private"
542 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
543 {
544   Vec            F;
545   PetscErrorCode ierr;
546 
547   PetscFunctionBegin;
548   *Frhs = NULL;
549   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
550   if (!ts->Frhs) {
551     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
552   }
553   *Frhs = ts->Frhs;
554   PetscFunctionReturn(0);
555 }
556 
557 #undef __FUNCT__
558 #define __FUNCT__ "TSGetRHSMats_Private"
559 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
560 {
561   Mat            A,B;
562   PetscErrorCode ierr;
563 
564   PetscFunctionBegin;
565   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
566   if (Arhs) {
567     if (!ts->Arhs) {
568       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
569     }
570     *Arhs = ts->Arhs;
571   }
572   if (Brhs) {
573     if (!ts->Brhs) {
574       ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
575     }
576     *Brhs = ts->Brhs;
577   }
578   PetscFunctionReturn(0);
579 }
580 
581 #undef __FUNCT__
582 #define __FUNCT__ "TSComputeIFunction"
583 /*@
584    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
585 
586    Collective on TS and Vec
587 
588    Input Parameters:
589 +  ts - the TS context
590 .  t - current time
591 .  U - state vector
592 .  Udot - time derivative of state vector
593 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
594 
595    Output Parameter:
596 .  Y - right hand side
597 
598    Note:
599    Most users should not need to explicitly call this routine, as it
600    is used internally within the nonlinear solvers.
601 
602    If the user did did not write their equations in implicit form, this
603    function recasts them in implicit form.
604 
605    Level: developer
606 
607 .keywords: TS, compute
608 
609 .seealso: TSSetIFunction(), TSComputeRHSFunction()
610 @*/
611 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
612 {
613   PetscErrorCode ierr;
614   TSIFunction    ifunction;
615   TSRHSFunction  rhsfunction;
616   void           *ctx;
617   DM             dm;
618 
619   PetscFunctionBegin;
620   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
621   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
622   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
623   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
624 
625   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
626   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
627   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
628 
629   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
630 
631   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
632   if (ifunction) {
633     PetscStackPush("TS user implicit function");
634     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
635     PetscStackPop;
636   }
637   if (imex) {
638     if (!ifunction) {
639       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
640     }
641   } else if (rhsfunction) {
642     if (ifunction) {
643       Vec Frhs;
644       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
645       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
646       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
647     } else {
648       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
649       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
650     }
651   }
652   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
653   PetscFunctionReturn(0);
654 }
655 
656 #undef __FUNCT__
657 #define __FUNCT__ "TSComputeIJacobian"
658 /*@
659    TSComputeIJacobian - Evaluates the Jacobian of the DAE
660 
661    Collective on TS and Vec
662 
663    Input
664       Input Parameters:
665 +  ts - the TS context
666 .  t - current timestep
667 .  U - state vector
668 .  Udot - time derivative of state vector
669 .  shift - shift to apply, see note below
670 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
671 
672    Output Parameters:
673 +  A - Jacobian matrix
674 .  B - optional preconditioning matrix
675 -  flag - flag indicating matrix structure
676 
677    Notes:
678    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
679 
680    dF/dU + shift*dF/dUdot
681 
682    Most users should not need to explicitly call this routine, as it
683    is used internally within the nonlinear solvers.
684 
685    Level: developer
686 
687 .keywords: TS, compute, Jacobian, matrix
688 
689 .seealso:  TSSetIJacobian()
690 @*/
691 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,PetscBool imex)
692 {
693   PetscErrorCode ierr;
694   TSIJacobian    ijacobian;
695   TSRHSJacobian  rhsjacobian;
696   DM             dm;
697   void           *ctx;
698 
699   PetscFunctionBegin;
700   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
701   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
702   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
703   PetscValidPointer(A,6);
704   PetscValidHeaderSpecific(*A,MAT_CLASSID,6);
705   PetscValidPointer(B,7);
706   PetscValidHeaderSpecific(*B,MAT_CLASSID,7);
707   PetscValidPointer(flg,8);
708 
709   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
710   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
711   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
712 
713   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
714 
715   *flg = SAME_NONZERO_PATTERN;  /* In case we're solving a linear problem in which case it wouldn't get initialized below. */
716   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
717   if (ijacobian) {
718     *flg = DIFFERENT_NONZERO_PATTERN;
719     PetscStackPush("TS user implicit Jacobian");
720     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,flg,ctx);CHKERRQ(ierr);
721     PetscStackPop;
722     /* make sure user returned a correct Jacobian and preconditioner */
723     PetscValidHeaderSpecific(*A,MAT_CLASSID,4);
724     PetscValidHeaderSpecific(*B,MAT_CLASSID,5);
725   }
726   if (imex) {
727     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
728       ierr = MatZeroEntries(*A);CHKERRQ(ierr);
729       ierr = MatShift(*A,shift);CHKERRQ(ierr);
730       if (*A != *B) {
731         ierr = MatZeroEntries(*B);CHKERRQ(ierr);
732         ierr = MatShift(*B,shift);CHKERRQ(ierr);
733       }
734       *flg = SAME_PRECONDITIONER;
735     }
736   } else {
737     Mat Arhs = NULL,Brhs = NULL;
738     MatStructure flg2;
739     if (rhsjacobian) {
740       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
741       ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
742     }
743     if (Arhs == *A) {           /* No IJacobian, so we only have the RHS matrix */
744       ts->rhsjacobian.scale = -1;
745       ts->rhsjacobian.shift = shift;
746       ierr = MatScale(*A,-1);CHKERRQ(ierr);
747       ierr = MatShift(*A,shift);CHKERRQ(ierr);
748       if (*A != *B) {
749         ierr = MatScale(*B,-1);CHKERRQ(ierr);
750         ierr = MatShift(*B,shift);CHKERRQ(ierr);
751       }
752     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
753       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
754       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
755         ierr = MatZeroEntries(*A);CHKERRQ(ierr);
756         ierr = MatShift(*A,shift);CHKERRQ(ierr);
757         if (*A != *B) {
758           ierr = MatZeroEntries(*B);CHKERRQ(ierr);
759           ierr = MatShift(*B,shift);CHKERRQ(ierr);
760         }
761       }
762       ierr = MatAXPY(*A,-1,Arhs,axpy);CHKERRQ(ierr);
763       if (*A != *B) {
764         ierr = MatAXPY(*B,-1,Brhs,axpy);CHKERRQ(ierr);
765       }
766       *flg = PetscMin(*flg,flg2);
767     }
768   }
769 
770   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,*A,*B);CHKERRQ(ierr);
771   PetscFunctionReturn(0);
772 }
773 
774 #undef __FUNCT__
775 #define __FUNCT__ "TSSetRHSFunction"
776 /*@C
777     TSSetRHSFunction - Sets the routine for evaluating the function,
778     where U_t = G(t,u).
779 
780     Logically Collective on TS
781 
782     Input Parameters:
783 +   ts - the TS context obtained from TSCreate()
784 .   r - vector to put the computed right hand side (or NULL to have it created)
785 .   f - routine for evaluating the right-hand-side function
786 -   ctx - [optional] user-defined context for private data for the
787           function evaluation routine (may be NULL)
788 
789     Calling sequence of func:
790 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
791 
792 +   t - current timestep
793 .   u - input vector
794 .   F - function vector
795 -   ctx - [optional] user-defined function context
796 
797     Level: beginner
798 
799 .keywords: TS, timestep, set, right-hand-side, function
800 
801 .seealso: TSSetRHSJacobian(), TSSetIJacobian()
802 @*/
803 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
804 {
805   PetscErrorCode ierr;
806   SNES           snes;
807   Vec            ralloc = NULL;
808   DM             dm;
809 
810   PetscFunctionBegin;
811   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
812   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
813 
814   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
815   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
816   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
817   if (!r && !ts->dm && ts->vec_sol) {
818     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
819     r    = ralloc;
820   }
821   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
822   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
823   PetscFunctionReturn(0);
824 }
825 
826 #undef __FUNCT__
827 #define __FUNCT__ "TSSetSolutionFunction"
828 /*@C
829     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
830 
831     Logically Collective on TS
832 
833     Input Parameters:
834 +   ts - the TS context obtained from TSCreate()
835 .   f - routine for evaluating the solution
836 -   ctx - [optional] user-defined context for private data for the
837           function evaluation routine (may be NULL)
838 
839     Calling sequence of func:
840 $     func (TS ts,PetscReal t,Vec u,void *ctx);
841 
842 +   t - current timestep
843 .   u - output vector
844 -   ctx - [optional] user-defined function context
845 
846     Notes:
847     This routine is used for testing accuracy of time integration schemes when you already know the solution.
848     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
849     create closed-form solutions with non-physical forcing terms.
850 
851     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
852 
853     Level: beginner
854 
855 .keywords: TS, timestep, set, right-hand-side, function
856 
857 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
858 @*/
859 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
860 {
861   PetscErrorCode ierr;
862   DM             dm;
863 
864   PetscFunctionBegin;
865   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
866   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
867   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
868   PetscFunctionReturn(0);
869 }
870 
871 #undef __FUNCT__
872 #define __FUNCT__ "TSSetForcingFunction"
873 /*@C
874     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
875 
876     Logically Collective on TS
877 
878     Input Parameters:
879 +   ts - the TS context obtained from TSCreate()
880 .   f - routine for evaluating the forcing function
881 -   ctx - [optional] user-defined context for private data for the
882           function evaluation routine (may be NULL)
883 
884     Calling sequence of func:
885 $     func (TS ts,PetscReal t,Vec u,void *ctx);
886 
887 +   t - current timestep
888 .   u - output vector
889 -   ctx - [optional] user-defined function context
890 
891     Notes:
892     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
893     create closed-form solutions with a non-physical forcing term.
894 
895     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
896 
897     Level: beginner
898 
899 .keywords: TS, timestep, set, right-hand-side, function
900 
901 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
902 @*/
903 PetscErrorCode  TSSetForcingFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
904 {
905   PetscErrorCode ierr;
906   DM             dm;
907 
908   PetscFunctionBegin;
909   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
910   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
911   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
912   PetscFunctionReturn(0);
913 }
914 
915 #undef __FUNCT__
916 #define __FUNCT__ "TSSetRHSJacobian"
917 /*@C
918    TSSetRHSJacobian - Sets the function to compute the Jacobian of F,
919    where U_t = G(U,t), as well as the location to store the matrix.
920 
921    Logically Collective on TS
922 
923    Input Parameters:
924 +  ts  - the TS context obtained from TSCreate()
925 .  Amat - (approximate) Jacobian matrix
926 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
927 .  f   - the Jacobian evaluation routine
928 -  ctx - [optional] user-defined context for private data for the
929          Jacobian evaluation routine (may be NULL)
930 
931    Calling sequence of func:
932 $     func (TS ts,PetscReal t,Vec u,Mat *A,Mat *B,MatStructure *flag,void *ctx);
933 
934 +  t - current timestep
935 .  u - input vector
936 .  Amat - (approximate) Jacobian matrix
937 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
938 .  flag - flag indicating information about the preconditioner matrix
939           structure (same as flag in KSPSetOperators())
940 -  ctx - [optional] user-defined context for matrix evaluation routine
941 
942    Notes:
943    See KSPSetOperators() for important information about setting the flag
944    output parameter in the routine func().  Be sure to read this information!
945 
946    The routine func() takes Mat * as the matrix arguments rather than Mat.
947    This allows the matrix evaluation routine to replace A and/or B with a
948    completely new matrix structure (not just different matrix elements)
949    when appropriate, for instance, if the nonzero structure is changing
950    throughout the global iterations.
951 
952    Level: beginner
953 
954 .keywords: TS, timestep, set, right-hand-side, Jacobian
955 
956 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse()
957 
958 @*/
959 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
960 {
961   PetscErrorCode ierr;
962   SNES           snes;
963   DM             dm;
964   TSIJacobian    ijacobian;
965 
966   PetscFunctionBegin;
967   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
968   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
969   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
970   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
971   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
972 
973   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
974   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
975   if (f == TSComputeRHSJacobianConstant) {
976     /* Handle this case automatically for the user; otherwise user should call themselves. */
977     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
978   }
979   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
980   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
981   if (!ijacobian) {
982     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
983   }
984   if (Amat) {
985     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
986     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
987 
988     ts->Arhs = Amat;
989   }
990   if (Pmat) {
991     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
992     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
993 
994     ts->Brhs = Pmat;
995   }
996   PetscFunctionReturn(0);
997 }
998 
999 
1000 #undef __FUNCT__
1001 #define __FUNCT__ "TSSetIFunction"
1002 /*@C
1003    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1004 
1005    Logically Collective on TS
1006 
1007    Input Parameters:
1008 +  ts  - the TS context obtained from TSCreate()
1009 .  r   - vector to hold the residual (or NULL to have it created internally)
1010 .  f   - the function evaluation routine
1011 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1012 
1013    Calling sequence of f:
1014 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1015 
1016 +  t   - time at step/stage being solved
1017 .  u   - state vector
1018 .  u_t - time derivative of state vector
1019 .  F   - function vector
1020 -  ctx - [optional] user-defined context for matrix evaluation routine
1021 
1022    Important:
1023    The user MUST call either this routine, TSSetRHSFunction().  This routine must be used when not solving an ODE, for example a DAE.
1024 
1025    Level: beginner
1026 
1027 .keywords: TS, timestep, set, DAE, Jacobian
1028 
1029 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1030 @*/
1031 PetscErrorCode  TSSetIFunction(TS ts,Vec res,TSIFunction f,void *ctx)
1032 {
1033   PetscErrorCode ierr;
1034   SNES           snes;
1035   Vec            resalloc = NULL;
1036   DM             dm;
1037 
1038   PetscFunctionBegin;
1039   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1040   if (res) PetscValidHeaderSpecific(res,VEC_CLASSID,2);
1041 
1042   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1043   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1044 
1045   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1046   if (!res && !ts->dm && ts->vec_sol) {
1047     ierr = VecDuplicate(ts->vec_sol,&resalloc);CHKERRQ(ierr);
1048     res  = resalloc;
1049   }
1050   ierr = SNESSetFunction(snes,res,SNESTSFormFunction,ts);CHKERRQ(ierr);
1051   ierr = VecDestroy(&resalloc);CHKERRQ(ierr);
1052   PetscFunctionReturn(0);
1053 }
1054 
1055 #undef __FUNCT__
1056 #define __FUNCT__ "TSGetIFunction"
1057 /*@C
1058    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1059 
1060    Not Collective
1061 
1062    Input Parameter:
1063 .  ts - the TS context
1064 
1065    Output Parameter:
1066 +  r - vector to hold residual (or NULL)
1067 .  func - the function to compute residual (or NULL)
1068 -  ctx - the function context (or NULL)
1069 
1070    Level: advanced
1071 
1072 .keywords: TS, nonlinear, get, function
1073 
1074 .seealso: TSSetIFunction(), SNESGetFunction()
1075 @*/
1076 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1077 {
1078   PetscErrorCode ierr;
1079   SNES           snes;
1080   DM             dm;
1081 
1082   PetscFunctionBegin;
1083   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1084   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1085   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1086   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1087   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1088   PetscFunctionReturn(0);
1089 }
1090 
1091 #undef __FUNCT__
1092 #define __FUNCT__ "TSGetRHSFunction"
1093 /*@C
1094    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1095 
1096    Not Collective
1097 
1098    Input Parameter:
1099 .  ts - the TS context
1100 
1101    Output Parameter:
1102 +  r - vector to hold computed right hand side (or NULL)
1103 .  func - the function to compute right hand side (or NULL)
1104 -  ctx - the function context (or NULL)
1105 
1106    Level: advanced
1107 
1108 .keywords: TS, nonlinear, get, function
1109 
1110 .seealso: TSSetRhsfunction(), SNESGetFunction()
1111 @*/
1112 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1113 {
1114   PetscErrorCode ierr;
1115   SNES           snes;
1116   DM             dm;
1117 
1118   PetscFunctionBegin;
1119   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1120   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1121   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1122   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1123   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1124   PetscFunctionReturn(0);
1125 }
1126 
1127 #undef __FUNCT__
1128 #define __FUNCT__ "TSSetIJacobian"
1129 /*@C
1130    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1131         you provided with TSSetIFunction().
1132 
1133    Logically Collective on TS
1134 
1135    Input Parameters:
1136 +  ts  - the TS context obtained from TSCreate()
1137 .  Amat - (approximate) Jacobian matrix
1138 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1139 .  f   - the Jacobian evaluation routine
1140 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1141 
1142    Calling sequence of f:
1143 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat *Amat,Mat *Pmat,MatStructure *flag,void *ctx);
1144 
1145 +  t    - time at step/stage being solved
1146 .  U    - state vector
1147 .  U_t  - time derivative of state vector
1148 .  a    - shift
1149 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1150 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1151 .  flag - flag indicating information about the preconditioner matrix
1152           structure (same as flag in KSPSetOperators())
1153 -  ctx  - [optional] user-defined context for matrix evaluation routine
1154 
1155    Notes:
1156    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1157 
1158    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1159    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1160    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1161    a and vector W depend on the integration method, step size, and past states. For example with
1162    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1163    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1164 
1165    Level: beginner
1166 
1167 .keywords: TS, timestep, DAE, Jacobian
1168 
1169 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault()
1170 
1171 @*/
1172 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1173 {
1174   PetscErrorCode ierr;
1175   SNES           snes;
1176   DM             dm;
1177 
1178   PetscFunctionBegin;
1179   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1180   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1181   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1182   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1183   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1184 
1185   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1186   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1187 
1188   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1189   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1190   PetscFunctionReturn(0);
1191 }
1192 
1193 #undef __FUNCT__
1194 #define __FUNCT__ "TSRHSJacobianSetReuse"
1195 /*@
1196    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1197    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1198    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1199    not been changed by the TS.
1200 
1201    Logically Collective
1202 
1203    Input Arguments:
1204 +  ts - TS context obtained from TSCreate()
1205 -  reuse - PETSC_TRUE if the RHS Jacobian
1206 
1207    Level: intermediate
1208 
1209 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1210 @*/
1211 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1212 {
1213   PetscFunctionBegin;
1214   ts->rhsjacobian.reuse = reuse;
1215   PetscFunctionReturn(0);
1216 }
1217 
1218 #undef __FUNCT__
1219 #define __FUNCT__ "TSLoad"
1220 /*@C
1221   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1222 
1223   Collective on PetscViewer
1224 
1225   Input Parameters:
1226 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1227            some related function before a call to TSLoad().
1228 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1229 
1230    Level: intermediate
1231 
1232   Notes:
1233    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1234 
1235   Notes for advanced users:
1236   Most users should not need to know the details of the binary storage
1237   format, since TSLoad() and TSView() completely hide these details.
1238   But for anyone who's interested, the standard binary matrix storage
1239   format is
1240 .vb
1241      has not yet been determined
1242 .ve
1243 
1244 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1245 @*/
1246 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1247 {
1248   PetscErrorCode ierr;
1249   PetscBool      isbinary;
1250   PetscInt       classid;
1251   char           type[256];
1252   DMTS           sdm;
1253   DM             dm;
1254 
1255   PetscFunctionBegin;
1256   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1257   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1258   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1259   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1260 
1261   ierr = PetscViewerBinaryRead(viewer,&classid,1,PETSC_INT);CHKERRQ(ierr);
1262   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1263   ierr = PetscViewerBinaryRead(viewer,type,256,PETSC_CHAR);CHKERRQ(ierr);
1264   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1265   if (ts->ops->load) {
1266     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1267   }
1268   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1269   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1270   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1271   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1272   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1273   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1274   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1275   PetscFunctionReturn(0);
1276 }
1277 
1278 #include <petscdraw.h>
1279 #if defined(PETSC_HAVE_AMS)
1280 #include <petscviewerams.h>
1281 #endif
1282 #undef __FUNCT__
1283 #define __FUNCT__ "TSView"
1284 /*@C
1285     TSView - Prints the TS data structure.
1286 
1287     Collective on TS
1288 
1289     Input Parameters:
1290 +   ts - the TS context obtained from TSCreate()
1291 -   viewer - visualization context
1292 
1293     Options Database Key:
1294 .   -ts_view - calls TSView() at end of TSStep()
1295 
1296     Notes:
1297     The available visualization contexts include
1298 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1299 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1300          output where only the first processor opens
1301          the file.  All other processors send their
1302          data to the first processor to print.
1303 
1304     The user can open an alternative visualization context with
1305     PetscViewerASCIIOpen() - output to a specified file.
1306 
1307     Level: beginner
1308 
1309 .keywords: TS, timestep, view
1310 
1311 .seealso: PetscViewerASCIIOpen()
1312 @*/
1313 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1314 {
1315   PetscErrorCode ierr;
1316   TSType         type;
1317   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1318   DMTS           sdm;
1319 #if defined(PETSC_HAVE_AMS)
1320   PetscBool      isams;
1321 #endif
1322 
1323   PetscFunctionBegin;
1324   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1325   if (!viewer) {
1326     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1327   }
1328   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1329   PetscCheckSameComm(ts,1,viewer,2);
1330 
1331   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1332   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1333   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1334   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1335 #if defined(PETSC_HAVE_AMS)
1336   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERAMS,&isams);CHKERRQ(ierr);
1337 #endif
1338   if (iascii) {
1339     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer,"TS Object");CHKERRQ(ierr);
1340     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1341     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%G\n",ts->max_time);CHKERRQ(ierr);
1342     if (ts->problem_type == TS_NONLINEAR) {
1343       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1344       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1345     }
1346     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1347     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1348     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1349     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1350     if (ts->ops->view) {
1351       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1352       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1353       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1354     }
1355   } else if (isstring) {
1356     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1357     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1358   } else if (isbinary) {
1359     PetscInt    classid = TS_FILE_CLASSID;
1360     MPI_Comm    comm;
1361     PetscMPIInt rank;
1362     char        type[256];
1363 
1364     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1365     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1366     if (!rank) {
1367       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1368       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1369       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1370     }
1371     if (ts->ops->view) {
1372       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1373     }
1374     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1375     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1376     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1377     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1378   } else if (isdraw) {
1379     PetscDraw draw;
1380     char      str[36];
1381     PetscReal x,y,bottom,h;
1382 
1383     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1384     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1385     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1386     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1387     ierr   = PetscDrawBoxedString(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1388     bottom = y - h;
1389     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1390     if (ts->ops->view) {
1391       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1392     }
1393     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1394 #if defined(PETSC_HAVE_AMS)
1395   } else if (isams) {
1396     if (((PetscObject)ts)->amsmem == -1) {
1397       ierr = PetscObjectViewAMS((PetscObject)ts,viewer);CHKERRQ(ierr);
1398       PetscStackCallAMS(AMS_Memory_take_access,(((PetscObject)ts)->amsmem));
1399       PetscStackCallAMS(AMS_Memory_add_field,(((PetscObject)ts)->amsmem,"time step",&ts->steps,1,AMS_INT,AMS_READ,AMS_COMMON,AMS_REDUCT_UNDEF));
1400       PetscStackCallAMS(AMS_Memory_add_field,(((PetscObject)ts)->amsmem,"time",&ts->ptime,1,AMS_DOUBLE,AMS_READ,AMS_COMMON,AMS_REDUCT_UNDEF));
1401       PetscStackCallAMS(AMS_Memory_grant_access,(((PetscObject)ts)->amsmem));
1402     }
1403     if (ts->ops->view) {
1404       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1405     }
1406 #endif
1407   }
1408 
1409   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1410   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1411   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1412   PetscFunctionReturn(0);
1413 }
1414 
1415 
1416 #undef __FUNCT__
1417 #define __FUNCT__ "TSSetApplicationContext"
1418 /*@
1419    TSSetApplicationContext - Sets an optional user-defined context for
1420    the timesteppers.
1421 
1422    Logically Collective on TS
1423 
1424    Input Parameters:
1425 +  ts - the TS context obtained from TSCreate()
1426 -  usrP - optional user context
1427 
1428    Level: intermediate
1429 
1430 .keywords: TS, timestep, set, application, context
1431 
1432 .seealso: TSGetApplicationContext()
1433 @*/
1434 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1435 {
1436   PetscFunctionBegin;
1437   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1438   ts->user = usrP;
1439   PetscFunctionReturn(0);
1440 }
1441 
1442 #undef __FUNCT__
1443 #define __FUNCT__ "TSGetApplicationContext"
1444 /*@
1445     TSGetApplicationContext - Gets the user-defined context for the
1446     timestepper.
1447 
1448     Not Collective
1449 
1450     Input Parameter:
1451 .   ts - the TS context obtained from TSCreate()
1452 
1453     Output Parameter:
1454 .   usrP - user context
1455 
1456     Level: intermediate
1457 
1458 .keywords: TS, timestep, get, application, context
1459 
1460 .seealso: TSSetApplicationContext()
1461 @*/
1462 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1463 {
1464   PetscFunctionBegin;
1465   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1466   *(void**)usrP = ts->user;
1467   PetscFunctionReturn(0);
1468 }
1469 
1470 #undef __FUNCT__
1471 #define __FUNCT__ "TSGetTimeStepNumber"
1472 /*@
1473    TSGetTimeStepNumber - Gets the number of time steps completed.
1474 
1475    Not Collective
1476 
1477    Input Parameter:
1478 .  ts - the TS context obtained from TSCreate()
1479 
1480    Output Parameter:
1481 .  iter - number of steps completed so far
1482 
1483    Level: intermediate
1484 
1485 .keywords: TS, timestep, get, iteration, number
1486 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStep()
1487 @*/
1488 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1489 {
1490   PetscFunctionBegin;
1491   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1492   PetscValidIntPointer(iter,2);
1493   *iter = ts->steps;
1494   PetscFunctionReturn(0);
1495 }
1496 
1497 #undef __FUNCT__
1498 #define __FUNCT__ "TSSetInitialTimeStep"
1499 /*@
1500    TSSetInitialTimeStep - Sets the initial timestep to be used,
1501    as well as the initial time.
1502 
1503    Logically Collective on TS
1504 
1505    Input Parameters:
1506 +  ts - the TS context obtained from TSCreate()
1507 .  initial_time - the initial time
1508 -  time_step - the size of the timestep
1509 
1510    Level: intermediate
1511 
1512 .seealso: TSSetTimeStep(), TSGetTimeStep()
1513 
1514 .keywords: TS, set, initial, timestep
1515 @*/
1516 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1517 {
1518   PetscErrorCode ierr;
1519 
1520   PetscFunctionBegin;
1521   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1522   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1523   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1524   PetscFunctionReturn(0);
1525 }
1526 
1527 #undef __FUNCT__
1528 #define __FUNCT__ "TSSetTimeStep"
1529 /*@
1530    TSSetTimeStep - Allows one to reset the timestep at any time,
1531    useful for simple pseudo-timestepping codes.
1532 
1533    Logically Collective on TS
1534 
1535    Input Parameters:
1536 +  ts - the TS context obtained from TSCreate()
1537 -  time_step - the size of the timestep
1538 
1539    Level: intermediate
1540 
1541 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1542 
1543 .keywords: TS, set, timestep
1544 @*/
1545 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1546 {
1547   PetscFunctionBegin;
1548   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1549   PetscValidLogicalCollectiveReal(ts,time_step,2);
1550   ts->time_step      = time_step;
1551   ts->time_step_orig = time_step;
1552   PetscFunctionReturn(0);
1553 }
1554 
1555 #undef __FUNCT__
1556 #define __FUNCT__ "TSSetExactFinalTime"
1557 /*@
1558    TSSetExactFinalTime - Determines whether to adapt the final time step to
1559      match the exact final time, interpolate solution to the exact final time,
1560      or just return at the final time TS computed.
1561 
1562   Logically Collective on TS
1563 
1564    Input Parameter:
1565 +   ts - the time-step context
1566 -   eftopt - exact final time option
1567 
1568    Level: beginner
1569 
1570 .seealso: TSExactFinalTimeOption
1571 @*/
1572 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1573 {
1574   PetscFunctionBegin;
1575   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1576   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1577   ts->exact_final_time = eftopt;
1578   PetscFunctionReturn(0);
1579 }
1580 
1581 #undef __FUNCT__
1582 #define __FUNCT__ "TSGetTimeStep"
1583 /*@
1584    TSGetTimeStep - Gets the current timestep size.
1585 
1586    Not Collective
1587 
1588    Input Parameter:
1589 .  ts - the TS context obtained from TSCreate()
1590 
1591    Output Parameter:
1592 .  dt - the current timestep size
1593 
1594    Level: intermediate
1595 
1596 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1597 
1598 .keywords: TS, get, timestep
1599 @*/
1600 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1601 {
1602   PetscFunctionBegin;
1603   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1604   PetscValidRealPointer(dt,2);
1605   *dt = ts->time_step;
1606   PetscFunctionReturn(0);
1607 }
1608 
1609 #undef __FUNCT__
1610 #define __FUNCT__ "TSGetSolution"
1611 /*@
1612    TSGetSolution - Returns the solution at the present timestep. It
1613    is valid to call this routine inside the function that you are evaluating
1614    in order to move to the new timestep. This vector not changed until
1615    the solution at the next timestep has been calculated.
1616 
1617    Not Collective, but Vec returned is parallel if TS is parallel
1618 
1619    Input Parameter:
1620 .  ts - the TS context obtained from TSCreate()
1621 
1622    Output Parameter:
1623 .  v - the vector containing the solution
1624 
1625    Level: intermediate
1626 
1627 .seealso: TSGetTimeStep()
1628 
1629 .keywords: TS, timestep, get, solution
1630 @*/
1631 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1632 {
1633   PetscFunctionBegin;
1634   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1635   PetscValidPointer(v,2);
1636   *v = ts->vec_sol;
1637   PetscFunctionReturn(0);
1638 }
1639 
1640 /* ----- Routines to initialize and destroy a timestepper ---- */
1641 #undef __FUNCT__
1642 #define __FUNCT__ "TSSetProblemType"
1643 /*@
1644   TSSetProblemType - Sets the type of problem to be solved.
1645 
1646   Not collective
1647 
1648   Input Parameters:
1649 + ts   - The TS
1650 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1651 .vb
1652          U_t - A U = 0      (linear)
1653          U_t - A(t) U = 0   (linear)
1654          F(t,U,U_t) = 0     (nonlinear)
1655 .ve
1656 
1657    Level: beginner
1658 
1659 .keywords: TS, problem type
1660 .seealso: TSSetUp(), TSProblemType, TS
1661 @*/
1662 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1663 {
1664   PetscErrorCode ierr;
1665 
1666   PetscFunctionBegin;
1667   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1668   ts->problem_type = type;
1669   if (type == TS_LINEAR) {
1670     SNES snes;
1671     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1672     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1673   }
1674   PetscFunctionReturn(0);
1675 }
1676 
1677 #undef __FUNCT__
1678 #define __FUNCT__ "TSGetProblemType"
1679 /*@C
1680   TSGetProblemType - Gets the type of problem to be solved.
1681 
1682   Not collective
1683 
1684   Input Parameter:
1685 . ts   - The TS
1686 
1687   Output Parameter:
1688 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1689 .vb
1690          M U_t = A U
1691          M(t) U_t = A(t) U
1692          F(t,U,U_t)
1693 .ve
1694 
1695    Level: beginner
1696 
1697 .keywords: TS, problem type
1698 .seealso: TSSetUp(), TSProblemType, TS
1699 @*/
1700 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1701 {
1702   PetscFunctionBegin;
1703   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1704   PetscValidIntPointer(type,2);
1705   *type = ts->problem_type;
1706   PetscFunctionReturn(0);
1707 }
1708 
1709 #undef __FUNCT__
1710 #define __FUNCT__ "TSSetUp"
1711 /*@
1712    TSSetUp - Sets up the internal data structures for the later use
1713    of a timestepper.
1714 
1715    Collective on TS
1716 
1717    Input Parameter:
1718 .  ts - the TS context obtained from TSCreate()
1719 
1720    Notes:
1721    For basic use of the TS solvers the user need not explicitly call
1722    TSSetUp(), since these actions will automatically occur during
1723    the call to TSStep().  However, if one wishes to control this
1724    phase separately, TSSetUp() should be called after TSCreate()
1725    and optional routines of the form TSSetXXX(), but before TSStep().
1726 
1727    Level: advanced
1728 
1729 .keywords: TS, timestep, setup
1730 
1731 .seealso: TSCreate(), TSStep(), TSDestroy()
1732 @*/
1733 PetscErrorCode  TSSetUp(TS ts)
1734 {
1735   PetscErrorCode ierr;
1736   DM             dm;
1737   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1738   PetscErrorCode (*jac)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1739   TSIJacobian    ijac;
1740   TSRHSJacobian  rhsjac;
1741 
1742   PetscFunctionBegin;
1743   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1744   if (ts->setupcalled) PetscFunctionReturn(0);
1745 
1746   if (!((PetscObject)ts)->type_name) {
1747     ierr = TSSetType(ts,TSEULER);CHKERRQ(ierr);
1748   }
1749 
1750   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
1751 
1752   ierr = TSGetAdapt(ts,&ts->adapt);CHKERRQ(ierr);
1753 
1754   if (ts->rhsjacobian.reuse) {
1755     Mat Amat,Pmat;
1756     SNES snes;
1757     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1758     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
1759     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
1760      * have displaced the RHS matrix */
1761     if (Amat == ts->Arhs) {
1762       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
1763       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
1764       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
1765     }
1766     if (Pmat == ts->Brhs) {
1767       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
1768       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
1769       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
1770     }
1771   }
1772 
1773   if (ts->ops->setup) {
1774     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
1775   }
1776 
1777   /* in the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
1778    to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
1779    */
1780   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1781   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
1782   if (!func) {
1783     ierr =DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
1784   }
1785   /* if the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
1786      Otherwise, the SNES will use coloring internally to form the Jacobian.
1787    */
1788   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
1789   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
1790   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
1791   if (!jac && (ijac || rhsjac)) {
1792     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1793   }
1794   ts->setupcalled = PETSC_TRUE;
1795   PetscFunctionReturn(0);
1796 }
1797 
1798 #undef __FUNCT__
1799 #define __FUNCT__ "TSReset"
1800 /*@
1801    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
1802 
1803    Collective on TS
1804 
1805    Input Parameter:
1806 .  ts - the TS context obtained from TSCreate()
1807 
1808    Level: beginner
1809 
1810 .keywords: TS, timestep, reset
1811 
1812 .seealso: TSCreate(), TSSetup(), TSDestroy()
1813 @*/
1814 PetscErrorCode  TSReset(TS ts)
1815 {
1816   PetscErrorCode ierr;
1817 
1818   PetscFunctionBegin;
1819   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1820   if (ts->ops->reset) {
1821     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
1822   }
1823   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
1824 
1825   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1826   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1827   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
1828   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
1829   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
1830   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
1831   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
1832 
1833   ts->setupcalled = PETSC_FALSE;
1834   PetscFunctionReturn(0);
1835 }
1836 
1837 #undef __FUNCT__
1838 #define __FUNCT__ "TSDestroy"
1839 /*@
1840    TSDestroy - Destroys the timestepper context that was created
1841    with TSCreate().
1842 
1843    Collective on TS
1844 
1845    Input Parameter:
1846 .  ts - the TS context obtained from TSCreate()
1847 
1848    Level: beginner
1849 
1850 .keywords: TS, timestepper, destroy
1851 
1852 .seealso: TSCreate(), TSSetUp(), TSSolve()
1853 @*/
1854 PetscErrorCode  TSDestroy(TS *ts)
1855 {
1856   PetscErrorCode ierr;
1857 
1858   PetscFunctionBegin;
1859   if (!*ts) PetscFunctionReturn(0);
1860   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
1861   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
1862 
1863   ierr = TSReset((*ts));CHKERRQ(ierr);
1864 
1865   /* if memory was published with AMS then destroy it */
1866   ierr = PetscObjectAMSViewOff((PetscObject)*ts);CHKERRQ(ierr);
1867   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
1868 
1869   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
1870   if ((*ts)->event) {
1871     ierr = TSEventMonitorDestroy(&(*ts)->event);CHKERRQ(ierr);
1872   }
1873   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
1874   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
1875   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
1876 
1877   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
1878   PetscFunctionReturn(0);
1879 }
1880 
1881 #undef __FUNCT__
1882 #define __FUNCT__ "TSGetSNES"
1883 /*@
1884    TSGetSNES - Returns the SNES (nonlinear solver) associated with
1885    a TS (timestepper) context. Valid only for nonlinear problems.
1886 
1887    Not Collective, but SNES is parallel if TS is parallel
1888 
1889    Input Parameter:
1890 .  ts - the TS context obtained from TSCreate()
1891 
1892    Output Parameter:
1893 .  snes - the nonlinear solver context
1894 
1895    Notes:
1896    The user can then directly manipulate the SNES context to set various
1897    options, etc.  Likewise, the user can then extract and manipulate the
1898    KSP, KSP, and PC contexts as well.
1899 
1900    TSGetSNES() does not work for integrators that do not use SNES; in
1901    this case TSGetSNES() returns NULL in snes.
1902 
1903    Level: beginner
1904 
1905 .keywords: timestep, get, SNES
1906 @*/
1907 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
1908 {
1909   PetscErrorCode ierr;
1910 
1911   PetscFunctionBegin;
1912   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1913   PetscValidPointer(snes,2);
1914   if (!ts->snes) {
1915     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
1916     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
1917     ierr = PetscLogObjectParent(ts,ts->snes);CHKERRQ(ierr);
1918     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
1919     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
1920     if (ts->problem_type == TS_LINEAR) {
1921       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
1922     }
1923   }
1924   *snes = ts->snes;
1925   PetscFunctionReturn(0);
1926 }
1927 
1928 #undef __FUNCT__
1929 #define __FUNCT__ "TSSetSNES"
1930 /*@
1931    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
1932 
1933    Collective
1934 
1935    Input Parameter:
1936 +  ts - the TS context obtained from TSCreate()
1937 -  snes - the nonlinear solver context
1938 
1939    Notes:
1940    Most users should have the TS created by calling TSGetSNES()
1941 
1942    Level: developer
1943 
1944 .keywords: timestep, set, SNES
1945 @*/
1946 PetscErrorCode TSSetSNES(TS ts,SNES snes)
1947 {
1948   PetscErrorCode ierr;
1949   PetscErrorCode (*func)(SNES,Vec,Mat*,Mat*,MatStructure*,void*);
1950 
1951   PetscFunctionBegin;
1952   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1953   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
1954   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
1955   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
1956 
1957   ts->snes = snes;
1958 
1959   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
1960   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
1961   if (func == SNESTSFormJacobian) {
1962     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1963   }
1964   PetscFunctionReturn(0);
1965 }
1966 
1967 #undef __FUNCT__
1968 #define __FUNCT__ "TSGetKSP"
1969 /*@
1970    TSGetKSP - Returns the KSP (linear solver) associated with
1971    a TS (timestepper) context.
1972 
1973    Not Collective, but KSP is parallel if TS is parallel
1974 
1975    Input Parameter:
1976 .  ts - the TS context obtained from TSCreate()
1977 
1978    Output Parameter:
1979 .  ksp - the nonlinear solver context
1980 
1981    Notes:
1982    The user can then directly manipulate the KSP context to set various
1983    options, etc.  Likewise, the user can then extract and manipulate the
1984    KSP and PC contexts as well.
1985 
1986    TSGetKSP() does not work for integrators that do not use KSP;
1987    in this case TSGetKSP() returns NULL in ksp.
1988 
1989    Level: beginner
1990 
1991 .keywords: timestep, get, KSP
1992 @*/
1993 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
1994 {
1995   PetscErrorCode ierr;
1996   SNES           snes;
1997 
1998   PetscFunctionBegin;
1999   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2000   PetscValidPointer(ksp,2);
2001   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2002   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2003   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2004   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2005   PetscFunctionReturn(0);
2006 }
2007 
2008 /* ----------- Routines to set solver parameters ---------- */
2009 
2010 #undef __FUNCT__
2011 #define __FUNCT__ "TSGetDuration"
2012 /*@
2013    TSGetDuration - Gets the maximum number of timesteps to use and
2014    maximum time for iteration.
2015 
2016    Not Collective
2017 
2018    Input Parameters:
2019 +  ts       - the TS context obtained from TSCreate()
2020 .  maxsteps - maximum number of iterations to use, or NULL
2021 -  maxtime  - final time to iterate to, or NULL
2022 
2023    Level: intermediate
2024 
2025 .keywords: TS, timestep, get, maximum, iterations, time
2026 @*/
2027 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2028 {
2029   PetscFunctionBegin;
2030   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2031   if (maxsteps) {
2032     PetscValidIntPointer(maxsteps,2);
2033     *maxsteps = ts->max_steps;
2034   }
2035   if (maxtime) {
2036     PetscValidScalarPointer(maxtime,3);
2037     *maxtime = ts->max_time;
2038   }
2039   PetscFunctionReturn(0);
2040 }
2041 
2042 #undef __FUNCT__
2043 #define __FUNCT__ "TSSetDuration"
2044 /*@
2045    TSSetDuration - Sets the maximum number of timesteps to use and
2046    maximum time for iteration.
2047 
2048    Logically Collective on TS
2049 
2050    Input Parameters:
2051 +  ts - the TS context obtained from TSCreate()
2052 .  maxsteps - maximum number of iterations to use
2053 -  maxtime - final time to iterate to
2054 
2055    Options Database Keys:
2056 .  -ts_max_steps <maxsteps> - Sets maxsteps
2057 .  -ts_final_time <maxtime> - Sets maxtime
2058 
2059    Notes:
2060    The default maximum number of iterations is 5000. Default time is 5.0
2061 
2062    Level: intermediate
2063 
2064 .keywords: TS, timestep, set, maximum, iterations
2065 
2066 .seealso: TSSetExactFinalTime()
2067 @*/
2068 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2069 {
2070   PetscFunctionBegin;
2071   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2072   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2073   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2074   if (maxsteps >= 0) ts->max_steps = maxsteps;
2075   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2076   PetscFunctionReturn(0);
2077 }
2078 
2079 #undef __FUNCT__
2080 #define __FUNCT__ "TSSetSolution"
2081 /*@
2082    TSSetSolution - Sets the initial solution vector
2083    for use by the TS routines.
2084 
2085    Logically Collective on TS and Vec
2086 
2087    Input Parameters:
2088 +  ts - the TS context obtained from TSCreate()
2089 -  u - the solution vector
2090 
2091    Level: beginner
2092 
2093 .keywords: TS, timestep, set, solution, initial conditions
2094 @*/
2095 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2096 {
2097   PetscErrorCode ierr;
2098   DM             dm;
2099 
2100   PetscFunctionBegin;
2101   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2102   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2103   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2104   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2105 
2106   ts->vec_sol = u;
2107 
2108   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2109   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2110   PetscFunctionReturn(0);
2111 }
2112 
2113 #undef __FUNCT__
2114 #define __FUNCT__ "TSSetPreStep"
2115 /*@C
2116   TSSetPreStep - Sets the general-purpose function
2117   called once at the beginning of each time step.
2118 
2119   Logically Collective on TS
2120 
2121   Input Parameters:
2122 + ts   - The TS context obtained from TSCreate()
2123 - func - The function
2124 
2125   Calling sequence of func:
2126 . func (TS ts);
2127 
2128   Level: intermediate
2129 
2130   Note:
2131   If a step is rejected, TSStep() will call this routine again before each attempt.
2132   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2133   size of the step being attempted can be obtained using TSGetTimeStep().
2134 
2135 .keywords: TS, timestep
2136 .seealso: TSSetPreStage(), TSSetPostStep(), TSStep()
2137 @*/
2138 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2139 {
2140   PetscFunctionBegin;
2141   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2142   ts->prestep = func;
2143   PetscFunctionReturn(0);
2144 }
2145 
2146 #undef __FUNCT__
2147 #define __FUNCT__ "TSPreStep"
2148 /*@
2149   TSPreStep - Runs the user-defined pre-step function.
2150 
2151   Collective on TS
2152 
2153   Input Parameters:
2154 . ts   - The TS context obtained from TSCreate()
2155 
2156   Notes:
2157   TSPreStep() is typically used within time stepping implementations,
2158   so most users would not generally call this routine themselves.
2159 
2160   Level: developer
2161 
2162 .keywords: TS, timestep
2163 .seealso: TSSetPreStep(), TSPreStage(), TSPostStep()
2164 @*/
2165 PetscErrorCode  TSPreStep(TS ts)
2166 {
2167   PetscErrorCode ierr;
2168 
2169   PetscFunctionBegin;
2170   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2171   if (ts->prestep) {
2172     PetscStackCallStandard((*ts->prestep),(ts));
2173   }
2174   PetscFunctionReturn(0);
2175 }
2176 
2177 #undef __FUNCT__
2178 #define __FUNCT__ "TSSetPreStage"
2179 /*@C
2180   TSSetPreStage - Sets the general-purpose function
2181   called once at the beginning of each stage.
2182 
2183   Logically Collective on TS
2184 
2185   Input Parameters:
2186 + ts   - The TS context obtained from TSCreate()
2187 - func - The function
2188 
2189   Calling sequence of func:
2190 . PetscErrorCode func(TS ts, PetscReal stagetime);
2191 
2192   Level: intermediate
2193 
2194   Note:
2195   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2196   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2197   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2198 
2199 .keywords: TS, timestep
2200 .seealso: TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2201 @*/
2202 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2203 {
2204   PetscFunctionBegin;
2205   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2206   ts->prestage = func;
2207   PetscFunctionReturn(0);
2208 }
2209 
2210 #undef __FUNCT__
2211 #define __FUNCT__ "TSPreStage"
2212 /*@
2213   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2214 
2215   Collective on TS
2216 
2217   Input Parameters:
2218 . ts   - The TS context obtained from TSCreate()
2219 
2220   Notes:
2221   TSPreStage() is typically used within time stepping implementations,
2222   most users would not generally call this routine themselves.
2223 
2224   Level: developer
2225 
2226 .keywords: TS, timestep
2227 .seealso: TSSetPreStep(), TSPreStep(), TSPostStep()
2228 @*/
2229 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2230 {
2231   PetscErrorCode ierr;
2232 
2233   PetscFunctionBegin;
2234   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2235   if (ts->prestage) {
2236     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2237   }
2238   PetscFunctionReturn(0);
2239 }
2240 
2241 #undef __FUNCT__
2242 #define __FUNCT__ "TSSetPostStep"
2243 /*@C
2244   TSSetPostStep - Sets the general-purpose function
2245   called once at the end of each time step.
2246 
2247   Logically Collective on TS
2248 
2249   Input Parameters:
2250 + ts   - The TS context obtained from TSCreate()
2251 - func - The function
2252 
2253   Calling sequence of func:
2254 $ func (TS ts);
2255 
2256   Level: intermediate
2257 
2258 .keywords: TS, timestep
2259 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2260 @*/
2261 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2262 {
2263   PetscFunctionBegin;
2264   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2265   ts->poststep = func;
2266   PetscFunctionReturn(0);
2267 }
2268 
2269 #undef __FUNCT__
2270 #define __FUNCT__ "TSPostStep"
2271 /*@
2272   TSPostStep - Runs the user-defined post-step function.
2273 
2274   Collective on TS
2275 
2276   Input Parameters:
2277 . ts   - The TS context obtained from TSCreate()
2278 
2279   Notes:
2280   TSPostStep() is typically used within time stepping implementations,
2281   so most users would not generally call this routine themselves.
2282 
2283   Level: developer
2284 
2285 .keywords: TS, timestep
2286 @*/
2287 PetscErrorCode  TSPostStep(TS ts)
2288 {
2289   PetscErrorCode ierr;
2290 
2291   PetscFunctionBegin;
2292   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2293   if (ts->poststep) {
2294     PetscStackCallStandard((*ts->poststep),(ts));
2295   }
2296   PetscFunctionReturn(0);
2297 }
2298 
2299 /* ------------ Routines to set performance monitoring options ----------- */
2300 
2301 #undef __FUNCT__
2302 #define __FUNCT__ "TSMonitorSet"
2303 /*@C
2304    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
2305    timestep to display the iteration's  progress.
2306 
2307    Logically Collective on TS
2308 
2309    Input Parameters:
2310 +  ts - the TS context obtained from TSCreate()
2311 .  monitor - monitoring routine
2312 .  mctx - [optional] user-defined context for private data for the
2313              monitor routine (use NULL if no context is desired)
2314 -  monitordestroy - [optional] routine that frees monitor context
2315           (may be NULL)
2316 
2317    Calling sequence of monitor:
2318 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
2319 
2320 +    ts - the TS context
2321 .    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
2322                                been interpolated to)
2323 .    time - current time
2324 .    u - current iterate
2325 -    mctx - [optional] monitoring context
2326 
2327    Notes:
2328    This routine adds an additional monitor to the list of monitors that
2329    already has been loaded.
2330 
2331    Fortran notes: Only a single monitor function can be set for each TS object
2332 
2333    Level: intermediate
2334 
2335 .keywords: TS, timestep, set, monitor
2336 
2337 .seealso: TSMonitorDefault(), TSMonitorCancel()
2338 @*/
2339 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
2340 {
2341   PetscFunctionBegin;
2342   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2343   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
2344   ts->monitor[ts->numbermonitors]          = monitor;
2345   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
2346   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
2347   PetscFunctionReturn(0);
2348 }
2349 
2350 #undef __FUNCT__
2351 #define __FUNCT__ "TSMonitorCancel"
2352 /*@C
2353    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
2354 
2355    Logically Collective on TS
2356 
2357    Input Parameters:
2358 .  ts - the TS context obtained from TSCreate()
2359 
2360    Notes:
2361    There is no way to remove a single, specific monitor.
2362 
2363    Level: intermediate
2364 
2365 .keywords: TS, timestep, set, monitor
2366 
2367 .seealso: TSMonitorDefault(), TSMonitorSet()
2368 @*/
2369 PetscErrorCode  TSMonitorCancel(TS ts)
2370 {
2371   PetscErrorCode ierr;
2372   PetscInt       i;
2373 
2374   PetscFunctionBegin;
2375   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2376   for (i=0; i<ts->numbermonitors; i++) {
2377     if (ts->monitordestroy[i]) {
2378       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
2379     }
2380   }
2381   ts->numbermonitors = 0;
2382   PetscFunctionReturn(0);
2383 }
2384 
2385 #undef __FUNCT__
2386 #define __FUNCT__ "TSMonitorDefault"
2387 /*@
2388    TSMonitorDefault - Sets the Default monitor
2389 
2390    Level: intermediate
2391 
2392 .keywords: TS, set, monitor
2393 
2394 .seealso: TSMonitorDefault(), TSMonitorSet()
2395 @*/
2396 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,void *dummy)
2397 {
2398   PetscErrorCode ierr;
2399   PetscViewer    viewer = dummy ? (PetscViewer) dummy : PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)ts));
2400 
2401   PetscFunctionBegin;
2402   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2403   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g\n",step,(double)ts->time_step,(double)ptime);CHKERRQ(ierr);
2404   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 #undef __FUNCT__
2409 #define __FUNCT__ "TSSetRetainStages"
2410 /*@
2411    TSSetRetainStages - Request that all stages in the upcoming step be stored so that interpolation will be available.
2412 
2413    Logically Collective on TS
2414 
2415    Input Argument:
2416 .  ts - time stepping context
2417 
2418    Output Argument:
2419 .  flg - PETSC_TRUE or PETSC_FALSE
2420 
2421    Level: intermediate
2422 
2423 .keywords: TS, set
2424 
2425 .seealso: TSInterpolate(), TSSetPostStep()
2426 @*/
2427 PetscErrorCode TSSetRetainStages(TS ts,PetscBool flg)
2428 {
2429   PetscFunctionBegin;
2430   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2431   ts->retain_stages = flg;
2432   PetscFunctionReturn(0);
2433 }
2434 
2435 #undef __FUNCT__
2436 #define __FUNCT__ "TSInterpolate"
2437 /*@
2438    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
2439 
2440    Collective on TS
2441 
2442    Input Argument:
2443 +  ts - time stepping context
2444 -  t - time to interpolate to
2445 
2446    Output Argument:
2447 .  U - state at given time
2448 
2449    Notes:
2450    The user should call TSSetRetainStages() before taking a step in which interpolation will be requested.
2451 
2452    Level: intermediate
2453 
2454    Developer Notes:
2455    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
2456 
2457 .keywords: TS, set
2458 
2459 .seealso: TSSetRetainStages(), TSSetPostStep()
2460 @*/
2461 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
2462 {
2463   PetscErrorCode ierr;
2464 
2465   PetscFunctionBegin;
2466   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2467   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2468   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,ts->ptime-ts->time_step_prev,ts->ptime);
2469   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
2470   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
2471   PetscFunctionReturn(0);
2472 }
2473 
2474 #undef __FUNCT__
2475 #define __FUNCT__ "TSStep"
2476 /*@
2477    TSStep - Steps one time step
2478 
2479    Collective on TS
2480 
2481    Input Parameter:
2482 .  ts - the TS context obtained from TSCreate()
2483 
2484    Level: intermediate
2485 
2486    Notes:
2487    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
2488    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
2489 
2490    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
2491    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
2492 
2493 .keywords: TS, timestep, solve
2494 
2495 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
2496 @*/
2497 PetscErrorCode  TSStep(TS ts)
2498 {
2499   PetscErrorCode ierr;
2500 
2501   PetscFunctionBegin;
2502   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2503   ierr = TSSetUp(ts);CHKERRQ(ierr);
2504 
2505   ts->reason = TS_CONVERGED_ITERATING;
2506   ts->ptime_prev = ts->ptime;
2507 
2508   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2509   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
2510   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
2511 
2512   ts->time_step_prev = ts->ptime - ts->ptime_prev;
2513 
2514   if (ts->reason < 0) {
2515     if (ts->errorifstepfailed) {
2516       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) {
2517         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]);
2518       } else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
2519     }
2520   } else if (!ts->reason) {
2521     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2522     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2523   }
2524   PetscFunctionReturn(0);
2525 }
2526 
2527 #undef __FUNCT__
2528 #define __FUNCT__ "TSEvaluateStep"
2529 /*@
2530    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
2531 
2532    Collective on TS
2533 
2534    Input Arguments:
2535 +  ts - time stepping context
2536 .  order - desired order of accuracy
2537 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
2538 
2539    Output Arguments:
2540 .  U - state at the end of the current step
2541 
2542    Level: advanced
2543 
2544    Notes:
2545    This function cannot be called until all stages have been evaluated.
2546    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.
2547 
2548 .seealso: TSStep(), TSAdapt
2549 @*/
2550 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
2551 {
2552   PetscErrorCode ierr;
2553 
2554   PetscFunctionBegin;
2555   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2556   PetscValidType(ts,1);
2557   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
2558   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
2559   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
2560   PetscFunctionReturn(0);
2561 }
2562 
2563 #undef __FUNCT__
2564 #define __FUNCT__ "TSSolve"
2565 /*@
2566    TSSolve - Steps the requested number of timesteps.
2567 
2568    Collective on TS
2569 
2570    Input Parameter:
2571 +  ts - the TS context obtained from TSCreate()
2572 -  u - the solution vector  (can be null if TSSetSolution() was used, otherwise must contain the initial conditions)
2573 
2574    Level: beginner
2575 
2576    Notes:
2577    The final time returned by this function may be different from the time of the internally
2578    held state accessible by TSGetSolution() and TSGetTime() because the method may have
2579    stepped over the final time.
2580 
2581 .keywords: TS, timestep, solve
2582 
2583 .seealso: TSCreate(), TSSetSolution(), TSStep()
2584 @*/
2585 PetscErrorCode TSSolve(TS ts,Vec u)
2586 {
2587   PetscBool         flg;
2588   PetscViewer       viewer;
2589   Vec               solution;
2590   PetscErrorCode    ierr;
2591   PetscViewerFormat format;
2592 
2593   PetscFunctionBegin;
2594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2595   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2596   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 */
2597     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2598     if (!ts->vec_sol || u == ts->vec_sol) {
2599       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
2600       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
2601       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
2602     }
2603     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
2604   } else if (u) {
2605     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
2606   }
2607   ierr = TSSetUp(ts);CHKERRQ(ierr);
2608   /* reset time step and iteration counters */
2609   ts->steps             = 0;
2610   ts->ksp_its           = 0;
2611   ts->snes_its          = 0;
2612   ts->num_snes_failures = 0;
2613   ts->reject            = 0;
2614   ts->reason            = TS_CONVERGED_ITERATING;
2615 
2616   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,"-ts_view_pre",&viewer,&format,&flg);CHKERRQ(ierr);
2617   if (flg && !PetscPreLoadingOn) {
2618     ierr = PetscViewerPushFormat(viewer,format);CHKERRQ(ierr);
2619     ierr = TSView(ts,viewer);CHKERRQ(ierr);
2620     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
2621     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
2622   }
2623 
2624   if (ts->ops->solve) {         /* This private interface is transitional and should be removed when all implementations are updated. */
2625     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
2626     ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);
2627     ts->solvetime = ts->ptime;
2628   } else {
2629     /* steps the requested number of timesteps. */
2630     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
2631     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
2632     while (!ts->reason) {
2633       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
2634       ierr = TSStep(ts);CHKERRQ(ierr);
2635       ierr = TSPostStep(ts);CHKERRQ(ierr);
2636       if (ts->event) {
2637 	ierr = TSEventMonitor(ts);CHKERRQ(ierr);
2638       }
2639     }
2640     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
2641       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
2642       ts->solvetime = ts->max_time;
2643       solution = u;
2644     } else {
2645       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
2646       ts->solvetime = ts->ptime;
2647       solution = ts->vec_sol;
2648     }
2649     ierr = TSMonitor(ts,ts->steps,ts->solvetime,solution);CHKERRQ(ierr);
2650   }
2651   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,"-ts_view",&viewer,&format,&flg);CHKERRQ(ierr);
2652   if (flg && !PetscPreLoadingOn) {
2653     ierr = PetscViewerPushFormat(viewer,format);CHKERRQ(ierr);
2654     ierr = TSView(ts,viewer);CHKERRQ(ierr);
2655     ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
2656     ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
2657   }
2658   PetscFunctionReturn(0);
2659 }
2660 
2661 #undef __FUNCT__
2662 #define __FUNCT__ "TSMonitor"
2663 /*@
2664    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
2665 
2666    Collective on TS
2667 
2668    Input Parameters:
2669 +  ts - time stepping context obtained from TSCreate()
2670 .  step - step number that has just completed
2671 .  ptime - model time of the state
2672 -  u - state at the current model time
2673 
2674    Notes:
2675    TSMonitor() is typically used within the time stepping implementations.
2676    Users might call this function when using the TSStep() interface instead of TSSolve().
2677 
2678    Level: advanced
2679 
2680 .keywords: TS, timestep
2681 @*/
2682 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
2683 {
2684   PetscErrorCode ierr;
2685   PetscInt       i,n = ts->numbermonitors;
2686 
2687   PetscFunctionBegin;
2688   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2689   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
2690   for (i=0; i<n; i++) {
2691     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
2692   }
2693   PetscFunctionReturn(0);
2694 }
2695 
2696 /* ------------------------------------------------------------------------*/
2697 struct _n_TSMonitorLGCtx {
2698   PetscDrawLG lg;
2699   PetscInt    howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
2700   PetscInt    ksp_its,snes_its;
2701 };
2702 
2703 
2704 #undef __FUNCT__
2705 #define __FUNCT__ "TSMonitorLGCtxCreate"
2706 /*@C
2707    TSMonitorLGCtxCreate - Creates a line graph context for use with
2708    TS to monitor the solution process graphically in various ways
2709 
2710    Collective on TS
2711 
2712    Input Parameters:
2713 +  host - the X display to open, or null for the local machine
2714 .  label - the title to put in the title bar
2715 .  x, y - the screen coordinates of the upper left coordinate of the window
2716 .  m, n - the screen width and height in pixels
2717 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
2718 
2719    Output Parameter:
2720 .  ctx - the context
2721 
2722    Options Database Key:
2723 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
2724 .  -ts_monitor_lg_solution -
2725 .  -ts_monitor_lg_error -
2726 .  -ts_monitor_lg_ksp_iterations -
2727 .  -ts_monitor_lg_snes_iterations -
2728 -  -lg_indicate_data_points <true,false> - indicate the data points (at each time step) on the plot; default is true
2729 
2730    Notes:
2731    Use TSMonitorLGCtxDestroy() to destroy.
2732 
2733    Level: intermediate
2734 
2735 .keywords: TS, monitor, line graph, residual, seealso
2736 
2737 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
2738 
2739 @*/
2740 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
2741 {
2742   PetscDraw      win;
2743   PetscErrorCode ierr;
2744   PetscBool      flg = PETSC_TRUE;
2745 
2746   PetscFunctionBegin;
2747   ierr = PetscNew(struct _n_TSMonitorLGCtx,ctx);CHKERRQ(ierr);
2748   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&win);CHKERRQ(ierr);
2749   ierr = PetscDrawSetFromOptions(win);CHKERRQ(ierr);
2750   ierr = PetscDrawLGCreate(win,1,&(*ctx)->lg);CHKERRQ(ierr);
2751   ierr = PetscOptionsGetBool(NULL,"-lg_indicate_data_points",&flg,NULL);CHKERRQ(ierr);
2752   if (flg) {
2753     ierr = PetscDrawLGIndicateDataPoints((*ctx)->lg);CHKERRQ(ierr);
2754   }
2755   ierr = PetscLogObjectParent((*ctx)->lg,win);CHKERRQ(ierr);
2756   (*ctx)->howoften = howoften;
2757   PetscFunctionReturn(0);
2758 }
2759 
2760 #undef __FUNCT__
2761 #define __FUNCT__ "TSMonitorLGTimeStep"
2762 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
2763 {
2764   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
2765   PetscReal      x   = ptime,y;
2766   PetscErrorCode ierr;
2767 
2768   PetscFunctionBegin;
2769   if (!step) {
2770     PetscDrawAxis axis;
2771     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
2772     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time step");CHKERRQ(ierr);
2773     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
2774   }
2775   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
2776   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
2777   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
2778     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
2779   }
2780   PetscFunctionReturn(0);
2781 }
2782 
2783 #undef __FUNCT__
2784 #define __FUNCT__ "TSMonitorLGCtxDestroy"
2785 /*@C
2786    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
2787    with TSMonitorLGCtxCreate().
2788 
2789    Collective on TSMonitorLGCtx
2790 
2791    Input Parameter:
2792 .  ctx - the monitor context
2793 
2794    Level: intermediate
2795 
2796 .keywords: TS, monitor, line graph, destroy
2797 
2798 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
2799 @*/
2800 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
2801 {
2802   PetscDraw      draw;
2803   PetscErrorCode ierr;
2804 
2805   PetscFunctionBegin;
2806   ierr = PetscDrawLGGetDraw((*ctx)->lg,&draw);CHKERRQ(ierr);
2807   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
2808   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
2809   ierr = PetscFree(*ctx);CHKERRQ(ierr);
2810   PetscFunctionReturn(0);
2811 }
2812 
2813 #undef __FUNCT__
2814 #define __FUNCT__ "TSGetTime"
2815 /*@
2816    TSGetTime - Gets the time of the most recently completed step.
2817 
2818    Not Collective
2819 
2820    Input Parameter:
2821 .  ts - the TS context obtained from TSCreate()
2822 
2823    Output Parameter:
2824 .  t  - the current time
2825 
2826    Level: beginner
2827 
2828    Note:
2829    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
2830    TSSetPreStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
2831 
2832 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2833 
2834 .keywords: TS, get, time
2835 @*/
2836 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
2837 {
2838   PetscFunctionBegin;
2839   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2840   PetscValidRealPointer(t,2);
2841   *t = ts->ptime;
2842   PetscFunctionReturn(0);
2843 }
2844 
2845 #undef __FUNCT__
2846 #define __FUNCT__ "TSSetTime"
2847 /*@
2848    TSSetTime - Allows one to reset the time.
2849 
2850    Logically Collective on TS
2851 
2852    Input Parameters:
2853 +  ts - the TS context obtained from TSCreate()
2854 -  time - the time
2855 
2856    Level: intermediate
2857 
2858 .seealso: TSGetTime(), TSSetDuration()
2859 
2860 .keywords: TS, set, time
2861 @*/
2862 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
2863 {
2864   PetscFunctionBegin;
2865   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2866   PetscValidLogicalCollectiveReal(ts,t,2);
2867   ts->ptime = t;
2868   PetscFunctionReturn(0);
2869 }
2870 
2871 #undef __FUNCT__
2872 #define __FUNCT__ "TSSetOptionsPrefix"
2873 /*@C
2874    TSSetOptionsPrefix - Sets the prefix used for searching for all
2875    TS options in the database.
2876 
2877    Logically Collective on TS
2878 
2879    Input Parameter:
2880 +  ts     - The TS context
2881 -  prefix - The prefix to prepend to all option names
2882 
2883    Notes:
2884    A hyphen (-) must NOT be given at the beginning of the prefix name.
2885    The first character of all runtime options is AUTOMATICALLY the
2886    hyphen.
2887 
2888    Level: advanced
2889 
2890 .keywords: TS, set, options, prefix, database
2891 
2892 .seealso: TSSetFromOptions()
2893 
2894 @*/
2895 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
2896 {
2897   PetscErrorCode ierr;
2898   SNES           snes;
2899 
2900   PetscFunctionBegin;
2901   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2902   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
2903   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2904   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
2905   PetscFunctionReturn(0);
2906 }
2907 
2908 
2909 #undef __FUNCT__
2910 #define __FUNCT__ "TSAppendOptionsPrefix"
2911 /*@C
2912    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
2913    TS options in the database.
2914 
2915    Logically Collective on TS
2916 
2917    Input Parameter:
2918 +  ts     - The TS context
2919 -  prefix - The prefix to prepend to all option names
2920 
2921    Notes:
2922    A hyphen (-) must NOT be given at the beginning of the prefix name.
2923    The first character of all runtime options is AUTOMATICALLY the
2924    hyphen.
2925 
2926    Level: advanced
2927 
2928 .keywords: TS, append, options, prefix, database
2929 
2930 .seealso: TSGetOptionsPrefix()
2931 
2932 @*/
2933 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
2934 {
2935   PetscErrorCode ierr;
2936   SNES           snes;
2937 
2938   PetscFunctionBegin;
2939   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2940   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
2941   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2942   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
2943   PetscFunctionReturn(0);
2944 }
2945 
2946 #undef __FUNCT__
2947 #define __FUNCT__ "TSGetOptionsPrefix"
2948 /*@C
2949    TSGetOptionsPrefix - Sets the prefix used for searching for all
2950    TS options in the database.
2951 
2952    Not Collective
2953 
2954    Input Parameter:
2955 .  ts - The TS context
2956 
2957    Output Parameter:
2958 .  prefix - A pointer to the prefix string used
2959 
2960    Notes: On the fortran side, the user should pass in a string 'prifix' of
2961    sufficient length to hold the prefix.
2962 
2963    Level: intermediate
2964 
2965 .keywords: TS, get, options, prefix, database
2966 
2967 .seealso: TSAppendOptionsPrefix()
2968 @*/
2969 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
2970 {
2971   PetscErrorCode ierr;
2972 
2973   PetscFunctionBegin;
2974   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2975   PetscValidPointer(prefix,2);
2976   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
2977   PetscFunctionReturn(0);
2978 }
2979 
2980 #undef __FUNCT__
2981 #define __FUNCT__ "TSGetRHSJacobian"
2982 /*@C
2983    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
2984 
2985    Not Collective, but parallel objects are returned if TS is parallel
2986 
2987    Input Parameter:
2988 .  ts  - The TS context obtained from TSCreate()
2989 
2990    Output Parameters:
2991 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
2992 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
2993 .  func - Function to compute the Jacobian of the RHS  (or NULL)
2994 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
2995 
2996    Notes: You can pass in NULL for any return argument you do not need.
2997 
2998    Level: intermediate
2999 
3000 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3001 
3002 .keywords: TS, timestep, get, matrix, Jacobian
3003 @*/
3004 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
3005 {
3006   PetscErrorCode ierr;
3007   SNES           snes;
3008   DM             dm;
3009 
3010   PetscFunctionBegin;
3011   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3012   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3013   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3014   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
3015   PetscFunctionReturn(0);
3016 }
3017 
3018 #undef __FUNCT__
3019 #define __FUNCT__ "TSGetIJacobian"
3020 /*@C
3021    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
3022 
3023    Not Collective, but parallel objects are returned if TS is parallel
3024 
3025    Input Parameter:
3026 .  ts  - The TS context obtained from TSCreate()
3027 
3028    Output Parameters:
3029 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
3030 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
3031 .  f   - The function to compute the matrices
3032 - ctx - User-defined context for Jacobian evaluation routine
3033 
3034    Notes: You can pass in NULL for any return argument you do not need.
3035 
3036    Level: advanced
3037 
3038 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
3039 
3040 .keywords: TS, timestep, get, matrix, Jacobian
3041 @*/
3042 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
3043 {
3044   PetscErrorCode ierr;
3045   SNES           snes;
3046   DM             dm;
3047 
3048   PetscFunctionBegin;
3049   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3050   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
3051   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
3052   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3053   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
3054   PetscFunctionReturn(0);
3055 }
3056 
3057 
3058 #undef __FUNCT__
3059 #define __FUNCT__ "TSMonitorDrawSolution"
3060 /*@C
3061    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
3062    VecView() for the solution at each timestep
3063 
3064    Collective on TS
3065 
3066    Input Parameters:
3067 +  ts - the TS context
3068 .  step - current time-step
3069 .  ptime - current time
3070 -  dummy - either a viewer or NULL
3071 
3072    Options Database:
3073 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3074 
3075    Notes: the initial solution and current solution are not displayed with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
3076        will look bad
3077 
3078    Level: intermediate
3079 
3080 .keywords: TS,  vector, monitor, view
3081 
3082 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3083 @*/
3084 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3085 {
3086   PetscErrorCode   ierr;
3087   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
3088   PetscDraw        draw;
3089 
3090   PetscFunctionBegin;
3091   if (!step && ictx->showinitial) {
3092     if (!ictx->initialsolution) {
3093       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
3094     }
3095     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
3096   }
3097   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3098 
3099   if (ictx->showinitial) {
3100     PetscReal pause;
3101     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
3102     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
3103     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
3104     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
3105     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
3106   }
3107   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
3108   if (ictx->showtimestepandtime) {
3109     PetscReal xl,yl,xr,yr,tw,w,h;
3110     char      time[32];
3111     size_t    len;
3112 
3113     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3114     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3115     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3116     ierr =  PetscStrlen(time,&len);CHKERRQ(ierr);
3117     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3118     w    = xl + .5*(xr - xl) - .5*len*tw;
3119     h    = yl + .95*(yr - yl);
3120     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3121     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3122   }
3123 
3124   if (ictx->showinitial) {
3125     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
3126   }
3127   PetscFunctionReturn(0);
3128 }
3129 
3130 #undef __FUNCT__
3131 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
3132 /*@C
3133    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
3134 
3135    Collective on TS
3136 
3137    Input Parameters:
3138 +  ts - the TS context
3139 .  step - current time-step
3140 .  ptime - current time
3141 -  dummy - either a viewer or NULL
3142 
3143    Level: intermediate
3144 
3145 .keywords: TS,  vector, monitor, view
3146 
3147 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3148 @*/
3149 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3150 {
3151   PetscErrorCode    ierr;
3152   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
3153   PetscDraw         draw;
3154   MPI_Comm          comm;
3155   PetscInt          n;
3156   PetscMPIInt       size;
3157   PetscReal         xl,yl,xr,yr,tw,w,h;
3158   char              time[32];
3159   size_t            len;
3160   const PetscScalar *U;
3161 
3162   PetscFunctionBegin;
3163   ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
3164   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3165   if (size != 1) SETERRQ(comm,PETSC_ERR_SUP,"Only allowed for sequential runs");
3166   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
3167   if (n != 2) SETERRQ(comm,PETSC_ERR_SUP,"Only for ODEs with two unknowns");
3168 
3169   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
3170 
3171   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
3172   ierr = PetscDrawAxisGetLimits(ictx->axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
3173   if ((PetscRealPart(U[0]) < xl) || (PetscRealPart(U[1]) < yl) || (PetscRealPart(U[0]) > xr) || (PetscRealPart(U[1]) > yr)) {
3174       ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3175       PetscFunctionReturn(0);
3176   }
3177   if (!step) ictx->color++;
3178   ierr = PetscDrawPoint(draw,PetscRealPart(U[0]),PetscRealPart(U[1]),ictx->color);CHKERRQ(ierr);
3179   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
3180 
3181   if (ictx->showtimestepandtime) {
3182     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
3183     ierr = PetscSNPrintf(time,32,"Timestep %d Time %f",(int)step,(double)ptime);CHKERRQ(ierr);
3184     ierr = PetscStrlen(time,&len);CHKERRQ(ierr);
3185     ierr = PetscDrawStringGetSize(draw,&tw,NULL);CHKERRQ(ierr);
3186     w    = xl + .5*(xr - xl) - .5*len*tw;
3187     h    = yl + .95*(yr - yl);
3188     ierr = PetscDrawString(draw,w,h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
3189   }
3190   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
3191   PetscFunctionReturn(0);
3192 }
3193 
3194 
3195 #undef __FUNCT__
3196 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
3197 /*@C
3198    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
3199 
3200    Collective on TS
3201 
3202    Input Parameters:
3203 .    ctx - the monitor context
3204 
3205    Level: intermediate
3206 
3207 .keywords: TS,  vector, monitor, view
3208 
3209 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
3210 @*/
3211 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
3212 {
3213   PetscErrorCode ierr;
3214 
3215   PetscFunctionBegin;
3216   ierr = PetscDrawAxisDestroy(&(*ictx)->axis);CHKERRQ(ierr);
3217   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
3218   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
3219   ierr = PetscFree(*ictx);CHKERRQ(ierr);
3220   PetscFunctionReturn(0);
3221 }
3222 
3223 #undef __FUNCT__
3224 #define __FUNCT__ "TSMonitorDrawCtxCreate"
3225 /*@C
3226    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
3227 
3228    Collective on TS
3229 
3230    Input Parameter:
3231 .    ts - time-step context
3232 
3233    Output Patameter:
3234 .    ctx - the monitor context
3235 
3236    Options Database:
3237 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
3238 
3239    Level: intermediate
3240 
3241 .keywords: TS,  vector, monitor, view
3242 
3243 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
3244 @*/
3245 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
3246 {
3247   PetscErrorCode   ierr;
3248 
3249   PetscFunctionBegin;
3250   ierr = PetscNew(struct _n_TSMonitorDrawCtx,ctx);CHKERRQ(ierr);
3251   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
3252   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
3253 
3254   (*ctx)->howoften    = howoften;
3255   (*ctx)->showinitial = PETSC_FALSE;
3256   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
3257 
3258   (*ctx)->showtimestepandtime = PETSC_FALSE;
3259   ierr = PetscOptionsGetBool(NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
3260   (*ctx)->color = PETSC_DRAW_WHITE;
3261   PetscFunctionReturn(0);
3262 }
3263 
3264 #undef __FUNCT__
3265 #define __FUNCT__ "TSMonitorDrawError"
3266 /*@C
3267    TSMonitorDrawError - Monitors progress of the TS solvers by calling
3268    VecView() for the error at each timestep
3269 
3270    Collective on TS
3271 
3272    Input Parameters:
3273 +  ts - the TS context
3274 .  step - current time-step
3275 .  ptime - current time
3276 -  dummy - either a viewer or NULL
3277 
3278    Level: intermediate
3279 
3280 .keywords: TS,  vector, monitor, view
3281 
3282 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3283 @*/
3284 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
3285 {
3286   PetscErrorCode   ierr;
3287   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
3288   PetscViewer      viewer = ctx->viewer;
3289   Vec              work;
3290 
3291   PetscFunctionBegin;
3292   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
3293   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
3294   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
3295   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
3296   ierr = VecView(work,viewer);CHKERRQ(ierr);
3297   ierr = VecDestroy(&work);CHKERRQ(ierr);
3298   PetscFunctionReturn(0);
3299 }
3300 
3301 #include <petsc-private/dmimpl.h>
3302 #undef __FUNCT__
3303 #define __FUNCT__ "TSSetDM"
3304 /*@
3305    TSSetDM - Sets the DM that may be used by some preconditioners
3306 
3307    Logically Collective on TS and DM
3308 
3309    Input Parameters:
3310 +  ts - the preconditioner context
3311 -  dm - the dm
3312 
3313    Level: intermediate
3314 
3315 
3316 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
3317 @*/
3318 PetscErrorCode  TSSetDM(TS ts,DM dm)
3319 {
3320   PetscErrorCode ierr;
3321   SNES           snes;
3322   DMTS           tsdm;
3323 
3324   PetscFunctionBegin;
3325   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3326   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
3327   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
3328     if (ts->dm->dmts && !dm->dmts) {
3329       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
3330       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
3331       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
3332         tsdm->originaldm = dm;
3333       }
3334     }
3335     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
3336   }
3337   ts->dm = dm;
3338 
3339   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
3340   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
3341   PetscFunctionReturn(0);
3342 }
3343 
3344 #undef __FUNCT__
3345 #define __FUNCT__ "TSGetDM"
3346 /*@
3347    TSGetDM - Gets the DM that may be used by some preconditioners
3348 
3349    Not Collective
3350 
3351    Input Parameter:
3352 . ts - the preconditioner context
3353 
3354    Output Parameter:
3355 .  dm - the dm
3356 
3357    Level: intermediate
3358 
3359 
3360 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
3361 @*/
3362 PetscErrorCode  TSGetDM(TS ts,DM *dm)
3363 {
3364   PetscErrorCode ierr;
3365 
3366   PetscFunctionBegin;
3367   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3368   if (!ts->dm) {
3369     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
3370     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
3371   }
3372   *dm = ts->dm;
3373   PetscFunctionReturn(0);
3374 }
3375 
3376 #undef __FUNCT__
3377 #define __FUNCT__ "SNESTSFormFunction"
3378 /*@
3379    SNESTSFormFunction - Function to evaluate nonlinear residual
3380 
3381    Logically Collective on SNES
3382 
3383    Input Parameter:
3384 + snes - nonlinear solver
3385 . U - the current state at which to evaluate the residual
3386 - ctx - user context, must be a TS
3387 
3388    Output Parameter:
3389 . F - the nonlinear residual
3390 
3391    Notes:
3392    This function is not normally called by users and is automatically registered with the SNES used by TS.
3393    It is most frequently passed to MatFDColoringSetFunction().
3394 
3395    Level: advanced
3396 
3397 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
3398 @*/
3399 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
3400 {
3401   TS             ts = (TS)ctx;
3402   PetscErrorCode ierr;
3403 
3404   PetscFunctionBegin;
3405   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3406   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3407   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
3408   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
3409   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
3410   PetscFunctionReturn(0);
3411 }
3412 
3413 #undef __FUNCT__
3414 #define __FUNCT__ "SNESTSFormJacobian"
3415 /*@
3416    SNESTSFormJacobian - Function to evaluate the Jacobian
3417 
3418    Collective on SNES
3419 
3420    Input Parameter:
3421 + snes - nonlinear solver
3422 . U - the current state at which to evaluate the residual
3423 - ctx - user context, must be a TS
3424 
3425    Output Parameter:
3426 + A - the Jacobian
3427 . B - the preconditioning matrix (may be the same as A)
3428 - flag - indicates any structure change in the matrix
3429 
3430    Notes:
3431    This function is not normally called by users and is automatically registered with the SNES used by TS.
3432 
3433    Level: developer
3434 
3435 .seealso: SNESSetJacobian()
3436 @*/
3437 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat *A,Mat *B,MatStructure *flag,void *ctx)
3438 {
3439   TS             ts = (TS)ctx;
3440   PetscErrorCode ierr;
3441 
3442   PetscFunctionBegin;
3443   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
3444   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
3445   PetscValidPointer(A,3);
3446   PetscValidHeaderSpecific(*A,MAT_CLASSID,3);
3447   PetscValidPointer(B,4);
3448   PetscValidHeaderSpecific(*B,MAT_CLASSID,4);
3449   PetscValidPointer(flag,5);
3450   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
3451   ierr = (ts->ops->snesjacobian)(snes,U,A,B,flag,ts);CHKERRQ(ierr);
3452   PetscFunctionReturn(0);
3453 }
3454 
3455 #undef __FUNCT__
3456 #define __FUNCT__ "TSComputeRHSFunctionLinear"
3457 /*@C
3458    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems only
3459 
3460    Collective on TS
3461 
3462    Input Arguments:
3463 +  ts - time stepping context
3464 .  t - time at which to evaluate
3465 .  U - state at which to evaluate
3466 -  ctx - context
3467 
3468    Output Arguments:
3469 .  F - right hand side
3470 
3471    Level: intermediate
3472 
3473    Notes:
3474    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
3475    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
3476 
3477 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
3478 @*/
3479 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
3480 {
3481   PetscErrorCode ierr;
3482   Mat            Arhs,Brhs;
3483   MatStructure   flg2;
3484 
3485   PetscFunctionBegin;
3486   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
3487   ierr = TSComputeRHSJacobian(ts,t,U,&Arhs,&Brhs,&flg2);CHKERRQ(ierr);
3488   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
3489   PetscFunctionReturn(0);
3490 }
3491 
3492 #undef __FUNCT__
3493 #define __FUNCT__ "TSComputeRHSJacobianConstant"
3494 /*@C
3495    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
3496 
3497    Collective on TS
3498 
3499    Input Arguments:
3500 +  ts - time stepping context
3501 .  t - time at which to evaluate
3502 .  U - state at which to evaluate
3503 -  ctx - context
3504 
3505    Output Arguments:
3506 +  A - pointer to operator
3507 .  B - pointer to preconditioning matrix
3508 -  flg - matrix structure flag
3509 
3510    Level: intermediate
3511 
3512    Notes:
3513    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
3514 
3515 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
3516 @*/
3517 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3518 {
3519   PetscFunctionBegin;
3520   *flg = SAME_PRECONDITIONER;
3521   PetscFunctionReturn(0);
3522 }
3523 
3524 #undef __FUNCT__
3525 #define __FUNCT__ "TSComputeIFunctionLinear"
3526 /*@C
3527    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
3528 
3529    Collective on TS
3530 
3531    Input Arguments:
3532 +  ts - time stepping context
3533 .  t - time at which to evaluate
3534 .  U - state at which to evaluate
3535 .  Udot - time derivative of state vector
3536 -  ctx - context
3537 
3538    Output Arguments:
3539 .  F - left hand side
3540 
3541    Level: intermediate
3542 
3543    Notes:
3544    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
3545    user is required to write their own TSComputeIFunction.
3546    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
3547    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
3548 
3549 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant()
3550 @*/
3551 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
3552 {
3553   PetscErrorCode ierr;
3554   Mat            A,B;
3555   MatStructure   flg2;
3556 
3557   PetscFunctionBegin;
3558   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
3559   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,&A,&B,&flg2,PETSC_TRUE);CHKERRQ(ierr);
3560   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
3561   PetscFunctionReturn(0);
3562 }
3563 
3564 #undef __FUNCT__
3565 #define __FUNCT__ "TSComputeIJacobianConstant"
3566 /*@C
3567    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
3568 
3569    Collective on TS
3570 
3571    Input Arguments:
3572 +  ts - time stepping context
3573 .  t - time at which to evaluate
3574 .  U - state at which to evaluate
3575 .  Udot - time derivative of state vector
3576 .  shift - shift to apply
3577 -  ctx - context
3578 
3579    Output Arguments:
3580 +  A - pointer to operator
3581 .  B - pointer to preconditioning matrix
3582 -  flg - matrix structure flag
3583 
3584    Level: advanced
3585 
3586    Notes:
3587    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
3588 
3589    It is only appropriate for problems of the form
3590 
3591 $     M Udot = F(U,t)
3592 
3593   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
3594   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
3595   an implicit operator of the form
3596 
3597 $    shift*M + J
3598 
3599   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
3600   a copy of M or reassemble it when requested.
3601 
3602 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
3603 @*/
3604 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flg,void *ctx)
3605 {
3606   PetscErrorCode ierr;
3607 
3608   PetscFunctionBegin;
3609   ierr = MatScale(*A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
3610   ts->ijacobian.shift = shift;
3611   *flg = SAME_PRECONDITIONER;
3612   PetscFunctionReturn(0);
3613 }
3614 
3615 #undef __FUNCT__
3616 #define __FUNCT__ "TSGetEquationType"
3617 /*@
3618    TSGetEquationType - Gets the type of the equation that TS is solving.
3619 
3620    Not Collective
3621 
3622    Input Parameter:
3623 .  ts - the TS context
3624 
3625    Output Parameter:
3626 .  equation_type - see TSEquationType
3627 
3628    Level: beginner
3629 
3630 .keywords: TS, equation type
3631 
3632 .seealso: TSSetEquationType(), TSEquationType
3633 @*/
3634 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
3635 {
3636   PetscFunctionBegin;
3637   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3638   PetscValidPointer(equation_type,2);
3639   *equation_type = ts->equation_type;
3640   PetscFunctionReturn(0);
3641 }
3642 
3643 #undef __FUNCT__
3644 #define __FUNCT__ "TSSetEquationType"
3645 /*@
3646    TSSetEquationType - Sets the type of the equation that TS is solving.
3647 
3648    Not Collective
3649 
3650    Input Parameter:
3651 +  ts - the TS context
3652 .  equation_type - see TSEquationType
3653 
3654    Level: advanced
3655 
3656 .keywords: TS, equation type
3657 
3658 .seealso: TSGetEquationType(), TSEquationType
3659 @*/
3660 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
3661 {
3662   PetscFunctionBegin;
3663   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3664   ts->equation_type = equation_type;
3665   PetscFunctionReturn(0);
3666 }
3667 
3668 #undef __FUNCT__
3669 #define __FUNCT__ "TSGetConvergedReason"
3670 /*@
3671    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
3672 
3673    Not Collective
3674 
3675    Input Parameter:
3676 .  ts - the TS context
3677 
3678    Output Parameter:
3679 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3680             manual pages for the individual convergence tests for complete lists
3681 
3682    Level: beginner
3683 
3684    Notes:
3685    Can only be called after the call to TSSolve() is complete.
3686 
3687 .keywords: TS, nonlinear, set, convergence, test
3688 
3689 .seealso: TSSetConvergenceTest(), TSConvergedReason
3690 @*/
3691 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
3692 {
3693   PetscFunctionBegin;
3694   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3695   PetscValidPointer(reason,2);
3696   *reason = ts->reason;
3697   PetscFunctionReturn(0);
3698 }
3699 
3700 #undef __FUNCT__
3701 #define __FUNCT__ "TSSetConvergedReason"
3702 /*@
3703    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
3704 
3705    Not Collective
3706 
3707    Input Parameter:
3708 +  ts - the TS context
3709 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
3710             manual pages for the individual convergence tests for complete lists
3711 
3712    Level: advanced
3713 
3714    Notes:
3715    Can only be called during TSSolve() is active.
3716 
3717 .keywords: TS, nonlinear, set, convergence, test
3718 
3719 .seealso: TSConvergedReason
3720 @*/
3721 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
3722 {
3723   PetscFunctionBegin;
3724   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3725   ts->reason = reason;
3726   PetscFunctionReturn(0);
3727 }
3728 
3729 #undef __FUNCT__
3730 #define __FUNCT__ "TSGetSolveTime"
3731 /*@
3732    TSGetSolveTime - Gets the time after a call to TSSolve()
3733 
3734    Not Collective
3735 
3736    Input Parameter:
3737 .  ts - the TS context
3738 
3739    Output Parameter:
3740 .  ftime - the final time. This time should correspond to the final time set with TSSetDuration()
3741 
3742    Level: beginner
3743 
3744    Notes:
3745    Can only be called after the call to TSSolve() is complete.
3746 
3747 .keywords: TS, nonlinear, set, convergence, test
3748 
3749 .seealso: TSSetConvergenceTest(), TSConvergedReason
3750 @*/
3751 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
3752 {
3753   PetscFunctionBegin;
3754   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3755   PetscValidPointer(ftime,2);
3756   *ftime = ts->solvetime;
3757   PetscFunctionReturn(0);
3758 }
3759 
3760 #undef __FUNCT__
3761 #define __FUNCT__ "TSGetSNESIterations"
3762 /*@
3763    TSGetSNESIterations - Gets the total number of nonlinear iterations
3764    used by the time integrator.
3765 
3766    Not Collective
3767 
3768    Input Parameter:
3769 .  ts - TS context
3770 
3771    Output Parameter:
3772 .  nits - number of nonlinear iterations
3773 
3774    Notes:
3775    This counter is reset to zero for each successive call to TSSolve().
3776 
3777    Level: intermediate
3778 
3779 .keywords: TS, get, number, nonlinear, iterations
3780 
3781 .seealso:  TSGetKSPIterations()
3782 @*/
3783 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
3784 {
3785   PetscFunctionBegin;
3786   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3787   PetscValidIntPointer(nits,2);
3788   *nits = ts->snes_its;
3789   PetscFunctionReturn(0);
3790 }
3791 
3792 #undef __FUNCT__
3793 #define __FUNCT__ "TSGetKSPIterations"
3794 /*@
3795    TSGetKSPIterations - Gets the total number of linear iterations
3796    used by the time integrator.
3797 
3798    Not Collective
3799 
3800    Input Parameter:
3801 .  ts - TS context
3802 
3803    Output Parameter:
3804 .  lits - number of linear iterations
3805 
3806    Notes:
3807    This counter is reset to zero for each successive call to TSSolve().
3808 
3809    Level: intermediate
3810 
3811 .keywords: TS, get, number, linear, iterations
3812 
3813 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
3814 @*/
3815 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
3816 {
3817   PetscFunctionBegin;
3818   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3819   PetscValidIntPointer(lits,2);
3820   *lits = ts->ksp_its;
3821   PetscFunctionReturn(0);
3822 }
3823 
3824 #undef __FUNCT__
3825 #define __FUNCT__ "TSGetStepRejections"
3826 /*@
3827    TSGetStepRejections - Gets the total number of rejected steps.
3828 
3829    Not Collective
3830 
3831    Input Parameter:
3832 .  ts - TS context
3833 
3834    Output Parameter:
3835 .  rejects - number of steps rejected
3836 
3837    Notes:
3838    This counter is reset to zero for each successive call to TSSolve().
3839 
3840    Level: intermediate
3841 
3842 .keywords: TS, get, number
3843 
3844 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
3845 @*/
3846 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
3847 {
3848   PetscFunctionBegin;
3849   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3850   PetscValidIntPointer(rejects,2);
3851   *rejects = ts->reject;
3852   PetscFunctionReturn(0);
3853 }
3854 
3855 #undef __FUNCT__
3856 #define __FUNCT__ "TSGetSNESFailures"
3857 /*@
3858    TSGetSNESFailures - Gets the total number of failed SNES solves
3859 
3860    Not Collective
3861 
3862    Input Parameter:
3863 .  ts - TS context
3864 
3865    Output Parameter:
3866 .  fails - number of failed nonlinear solves
3867 
3868    Notes:
3869    This counter is reset to zero for each successive call to TSSolve().
3870 
3871    Level: intermediate
3872 
3873 .keywords: TS, get, number
3874 
3875 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
3876 @*/
3877 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
3878 {
3879   PetscFunctionBegin;
3880   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3881   PetscValidIntPointer(fails,2);
3882   *fails = ts->num_snes_failures;
3883   PetscFunctionReturn(0);
3884 }
3885 
3886 #undef __FUNCT__
3887 #define __FUNCT__ "TSSetMaxStepRejections"
3888 /*@
3889    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
3890 
3891    Not Collective
3892 
3893    Input Parameter:
3894 +  ts - TS context
3895 -  rejects - maximum number of rejected steps, pass -1 for unlimited
3896 
3897    Notes:
3898    The counter is reset to zero for each step
3899 
3900    Options Database Key:
3901  .  -ts_max_reject - Maximum number of step rejections before a step fails
3902 
3903    Level: intermediate
3904 
3905 .keywords: TS, set, maximum, number
3906 
3907 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
3908 @*/
3909 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
3910 {
3911   PetscFunctionBegin;
3912   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3913   ts->max_reject = rejects;
3914   PetscFunctionReturn(0);
3915 }
3916 
3917 #undef __FUNCT__
3918 #define __FUNCT__ "TSSetMaxSNESFailures"
3919 /*@
3920    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
3921 
3922    Not Collective
3923 
3924    Input Parameter:
3925 +  ts - TS context
3926 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
3927 
3928    Notes:
3929    The counter is reset to zero for each successive call to TSSolve().
3930 
3931    Options Database Key:
3932  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
3933 
3934    Level: intermediate
3935 
3936 .keywords: TS, set, maximum, number
3937 
3938 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
3939 @*/
3940 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
3941 {
3942   PetscFunctionBegin;
3943   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3944   ts->max_snes_failures = fails;
3945   PetscFunctionReturn(0);
3946 }
3947 
3948 #undef __FUNCT__
3949 #define __FUNCT__ "TSSetErrorIfStepFails()"
3950 /*@
3951    TSSetErrorIfStepFails - Error if no step succeeds
3952 
3953    Not Collective
3954 
3955    Input Parameter:
3956 +  ts - TS context
3957 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
3958 
3959    Options Database Key:
3960  .  -ts_error_if_step_fails - Error if no step succeeds
3961 
3962    Level: intermediate
3963 
3964 .keywords: TS, set, error
3965 
3966 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
3967 @*/
3968 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
3969 {
3970   PetscFunctionBegin;
3971   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3972   ts->errorifstepfailed = err;
3973   PetscFunctionReturn(0);
3974 }
3975 
3976 #undef __FUNCT__
3977 #define __FUNCT__ "TSMonitorSolutionBinary"
3978 /*@C
3979    TSMonitorSolutionBinary - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file
3980 
3981    Collective on TS
3982 
3983    Input Parameters:
3984 +  ts - the TS context
3985 .  step - current time-step
3986 .  ptime - current time
3987 .  u - current state
3988 -  viewer - binary viewer
3989 
3990    Level: intermediate
3991 
3992 .keywords: TS,  vector, monitor, view
3993 
3994 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
3995 @*/
3996 PetscErrorCode  TSMonitorSolutionBinary(TS ts,PetscInt step,PetscReal ptime,Vec u,void *viewer)
3997 {
3998   PetscErrorCode ierr;
3999   PetscViewer    v = (PetscViewer)viewer;
4000 
4001   PetscFunctionBegin;
4002   ierr = VecView(u,v);CHKERRQ(ierr);
4003   PetscFunctionReturn(0);
4004 }
4005 
4006 #undef __FUNCT__
4007 #define __FUNCT__ "TSMonitorSolutionVTK"
4008 /*@C
4009    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
4010 
4011    Collective on TS
4012 
4013    Input Parameters:
4014 +  ts - the TS context
4015 .  step - current time-step
4016 .  ptime - current time
4017 .  u - current state
4018 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4019 
4020    Level: intermediate
4021 
4022    Notes:
4023    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.
4024    These are named according to the file name template.
4025 
4026    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
4027 
4028 .keywords: TS,  vector, monitor, view
4029 
4030 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4031 @*/
4032 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
4033 {
4034   PetscErrorCode ierr;
4035   char           filename[PETSC_MAX_PATH_LEN];
4036   PetscViewer    viewer;
4037 
4038   PetscFunctionBegin;
4039   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
4040   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
4041   ierr = VecView(u,viewer);CHKERRQ(ierr);
4042   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
4043   PetscFunctionReturn(0);
4044 }
4045 
4046 #undef __FUNCT__
4047 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
4048 /*@C
4049    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
4050 
4051    Collective on TS
4052 
4053    Input Parameters:
4054 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
4055 
4056    Level: intermediate
4057 
4058    Note:
4059    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
4060 
4061 .keywords: TS,  vector, monitor, view
4062 
4063 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
4064 @*/
4065 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
4066 {
4067   PetscErrorCode ierr;
4068 
4069   PetscFunctionBegin;
4070   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
4071   PetscFunctionReturn(0);
4072 }
4073 
4074 #undef __FUNCT__
4075 #define __FUNCT__ "TSGetAdapt"
4076 /*@
4077    TSGetAdapt - Get the adaptive controller context for the current method
4078 
4079    Collective on TS if controller has not been created yet
4080 
4081    Input Arguments:
4082 .  ts - time stepping context
4083 
4084    Output Arguments:
4085 .  adapt - adaptive controller
4086 
4087    Level: intermediate
4088 
4089 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
4090 @*/
4091 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
4092 {
4093   PetscErrorCode ierr;
4094 
4095   PetscFunctionBegin;
4096   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4097   PetscValidPointer(adapt,2);
4098   if (!ts->adapt) {
4099     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
4100     ierr = PetscLogObjectParent(ts,ts->adapt);CHKERRQ(ierr);
4101     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
4102   }
4103   *adapt = ts->adapt;
4104   PetscFunctionReturn(0);
4105 }
4106 
4107 #undef __FUNCT__
4108 #define __FUNCT__ "TSSetTolerances"
4109 /*@
4110    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
4111 
4112    Logically Collective
4113 
4114    Input Arguments:
4115 +  ts - time integration context
4116 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
4117 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
4118 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
4119 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
4120 
4121    Level: beginner
4122 
4123 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
4124 @*/
4125 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
4126 {
4127   PetscErrorCode ierr;
4128 
4129   PetscFunctionBegin;
4130   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
4131   if (vatol) {
4132     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
4133     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
4134 
4135     ts->vatol = vatol;
4136   }
4137   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
4138   if (vrtol) {
4139     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
4140     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
4141 
4142     ts->vrtol = vrtol;
4143   }
4144   PetscFunctionReturn(0);
4145 }
4146 
4147 #undef __FUNCT__
4148 #define __FUNCT__ "TSGetTolerances"
4149 /*@
4150    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
4151 
4152    Logically Collective
4153 
4154    Input Arguments:
4155 .  ts - time integration context
4156 
4157    Output Arguments:
4158 +  atol - scalar absolute tolerances, NULL to ignore
4159 .  vatol - vector of absolute tolerances, NULL to ignore
4160 .  rtol - scalar relative tolerances, NULL to ignore
4161 -  vrtol - vector of relative tolerances, NULL to ignore
4162 
4163    Level: beginner
4164 
4165 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
4166 @*/
4167 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
4168 {
4169   PetscFunctionBegin;
4170   if (atol)  *atol  = ts->atol;
4171   if (vatol) *vatol = ts->vatol;
4172   if (rtol)  *rtol  = ts->rtol;
4173   if (vrtol) *vrtol = ts->vrtol;
4174   PetscFunctionReturn(0);
4175 }
4176 
4177 #undef __FUNCT__
4178 #define __FUNCT__ "TSErrorNormWRMS"
4179 /*@
4180    TSErrorNormWRMS - compute a weighted norm of the difference between a vector and the current state
4181 
4182    Collective on TS
4183 
4184    Input Arguments:
4185 +  ts - time stepping context
4186 -  Y - state vector to be compared to ts->vec_sol
4187 
4188    Output Arguments:
4189 .  norm - weighted norm, a value of 1.0 is considered small
4190 
4191    Level: developer
4192 
4193 .seealso: TSSetTolerances()
4194 @*/
4195 PetscErrorCode TSErrorNormWRMS(TS ts,Vec Y,PetscReal *norm)
4196 {
4197   PetscErrorCode    ierr;
4198   PetscInt          i,n,N;
4199   const PetscScalar *u,*y;
4200   Vec               U;
4201   PetscReal         sum,gsum;
4202 
4203   PetscFunctionBegin;
4204   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4205   PetscValidHeaderSpecific(Y,VEC_CLASSID,2);
4206   PetscValidPointer(norm,3);
4207   U = ts->vec_sol;
4208   PetscCheckSameTypeAndComm(U,1,Y,2);
4209   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"Y cannot be the TS solution vector");
4210 
4211   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
4212   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
4213   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
4214   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
4215   sum  = 0.;
4216   if (ts->vatol && ts->vrtol) {
4217     const PetscScalar *atol,*rtol;
4218     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4219     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4220     for (i=0; i<n; i++) {
4221       PetscReal tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4222       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4223     }
4224     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4225     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4226   } else if (ts->vatol) {       /* vector atol, scalar rtol */
4227     const PetscScalar *atol;
4228     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4229     for (i=0; i<n; i++) {
4230       PetscReal tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4231       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4232     }
4233     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
4234   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
4235     const PetscScalar *rtol;
4236     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4237     for (i=0; i<n; i++) {
4238       PetscReal tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4239       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4240     }
4241     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
4242   } else {                      /* scalar atol, scalar rtol */
4243     for (i=0; i<n; i++) {
4244       PetscReal tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
4245       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
4246     }
4247   }
4248   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
4249   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
4250 
4251   ierr  = MPI_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4252   *norm = PetscSqrtReal(gsum / N);
4253   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
4254   PetscFunctionReturn(0);
4255 }
4256 
4257 #undef __FUNCT__
4258 #define __FUNCT__ "TSSetCFLTimeLocal"
4259 /*@
4260    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
4261 
4262    Logically Collective on TS
4263 
4264    Input Arguments:
4265 +  ts - time stepping context
4266 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
4267 
4268    Note:
4269    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
4270 
4271    Level: intermediate
4272 
4273 .seealso: TSGetCFLTime(), TSADAPTCFL
4274 @*/
4275 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
4276 {
4277   PetscFunctionBegin;
4278   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4279   ts->cfltime_local = cfltime;
4280   ts->cfltime       = -1.;
4281   PetscFunctionReturn(0);
4282 }
4283 
4284 #undef __FUNCT__
4285 #define __FUNCT__ "TSGetCFLTime"
4286 /*@
4287    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
4288 
4289    Collective on TS
4290 
4291    Input Arguments:
4292 .  ts - time stepping context
4293 
4294    Output Arguments:
4295 .  cfltime - maximum stable time step for forward Euler
4296 
4297    Level: advanced
4298 
4299 .seealso: TSSetCFLTimeLocal()
4300 @*/
4301 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
4302 {
4303   PetscErrorCode ierr;
4304 
4305   PetscFunctionBegin;
4306   if (ts->cfltime < 0) {
4307     ierr = MPI_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
4308   }
4309   *cfltime = ts->cfltime;
4310   PetscFunctionReturn(0);
4311 }
4312 
4313 #undef __FUNCT__
4314 #define __FUNCT__ "TSVISetVariableBounds"
4315 /*@
4316    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
4317 
4318    Input Parameters:
4319 .  ts   - the TS context.
4320 .  xl   - lower bound.
4321 .  xu   - upper bound.
4322 
4323    Notes:
4324    If this routine is not called then the lower and upper bounds are set to
4325    SNES_VI_NINF and SNES_VI_INF respectively during SNESSetUp().
4326 
4327    Level: advanced
4328 
4329 @*/
4330 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
4331 {
4332   PetscErrorCode ierr;
4333   SNES           snes;
4334 
4335   PetscFunctionBegin;
4336   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4337   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
4338   PetscFunctionReturn(0);
4339 }
4340 
4341 #if defined(PETSC_HAVE_MATLAB_ENGINE)
4342 #include <mex.h>
4343 
4344 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
4345 
4346 #undef __FUNCT__
4347 #define __FUNCT__ "TSComputeFunction_Matlab"
4348 /*
4349    TSComputeFunction_Matlab - Calls the function that has been set with
4350                          TSSetFunctionMatlab().
4351 
4352    Collective on TS
4353 
4354    Input Parameters:
4355 +  snes - the TS context
4356 -  u - input vector
4357 
4358    Output Parameter:
4359 .  y - function vector, as set by TSSetFunction()
4360 
4361    Notes:
4362    TSComputeFunction() is typically used within nonlinear solvers
4363    implementations, so most users would not generally call this routine
4364    themselves.
4365 
4366    Level: developer
4367 
4368 .keywords: TS, nonlinear, compute, function
4369 
4370 .seealso: TSSetFunction(), TSGetFunction()
4371 */
4372 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
4373 {
4374   PetscErrorCode  ierr;
4375   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4376   int             nlhs  = 1,nrhs = 7;
4377   mxArray         *plhs[1],*prhs[7];
4378   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
4379 
4380   PetscFunctionBegin;
4381   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
4382   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4383   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
4384   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
4385   PetscCheckSameComm(snes,1,u,3);
4386   PetscCheckSameComm(snes,1,y,5);
4387 
4388   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
4389   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4390   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
4391   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
4392 
4393   prhs[0] =  mxCreateDoubleScalar((double)ls);
4394   prhs[1] =  mxCreateDoubleScalar(time);
4395   prhs[2] =  mxCreateDoubleScalar((double)lx);
4396   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4397   prhs[4] =  mxCreateDoubleScalar((double)ly);
4398   prhs[5] =  mxCreateString(sctx->funcname);
4399   prhs[6] =  sctx->ctx;
4400   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
4401   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4402   mxDestroyArray(prhs[0]);
4403   mxDestroyArray(prhs[1]);
4404   mxDestroyArray(prhs[2]);
4405   mxDestroyArray(prhs[3]);
4406   mxDestroyArray(prhs[4]);
4407   mxDestroyArray(prhs[5]);
4408   mxDestroyArray(plhs[0]);
4409   PetscFunctionReturn(0);
4410 }
4411 
4412 
4413 #undef __FUNCT__
4414 #define __FUNCT__ "TSSetFunctionMatlab"
4415 /*
4416    TSSetFunctionMatlab - Sets the function evaluation routine and function
4417    vector for use by the TS routines in solving ODEs
4418    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
4419 
4420    Logically Collective on TS
4421 
4422    Input Parameters:
4423 +  ts - the TS context
4424 -  func - function evaluation routine
4425 
4426    Calling sequence of func:
4427 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
4428 
4429    Level: beginner
4430 
4431 .keywords: TS, nonlinear, set, function
4432 
4433 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4434 */
4435 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
4436 {
4437   PetscErrorCode  ierr;
4438   TSMatlabContext *sctx;
4439 
4440   PetscFunctionBegin;
4441   /* currently sctx is memory bleed */
4442   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4443   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4444   /*
4445      This should work, but it doesn't
4446   sctx->ctx = ctx;
4447   mexMakeArrayPersistent(sctx->ctx);
4448   */
4449   sctx->ctx = mxDuplicateArray(ctx);
4450 
4451   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
4452   PetscFunctionReturn(0);
4453 }
4454 
4455 #undef __FUNCT__
4456 #define __FUNCT__ "TSComputeJacobian_Matlab"
4457 /*
4458    TSComputeJacobian_Matlab - Calls the function that has been set with
4459                          TSSetJacobianMatlab().
4460 
4461    Collective on TS
4462 
4463    Input Parameters:
4464 +  ts - the TS context
4465 .  u - input vector
4466 .  A, B - the matrices
4467 -  ctx - user context
4468 
4469    Output Parameter:
4470 .  flag - structure of the matrix
4471 
4472    Level: developer
4473 
4474 .keywords: TS, nonlinear, compute, function
4475 
4476 .seealso: TSSetFunction(), TSGetFunction()
4477 @*/
4478 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat *A,Mat *B,MatStructure *flag, void *ctx)
4479 {
4480   PetscErrorCode  ierr;
4481   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4482   int             nlhs  = 2,nrhs = 9;
4483   mxArray         *plhs[2],*prhs[9];
4484   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
4485 
4486   PetscFunctionBegin;
4487   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4488   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
4489 
4490   /* call Matlab function in ctx with arguments u and y */
4491 
4492   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4493   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4494   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
4495   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
4496   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
4497 
4498   prhs[0] =  mxCreateDoubleScalar((double)ls);
4499   prhs[1] =  mxCreateDoubleScalar((double)time);
4500   prhs[2] =  mxCreateDoubleScalar((double)lx);
4501   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
4502   prhs[4] =  mxCreateDoubleScalar((double)shift);
4503   prhs[5] =  mxCreateDoubleScalar((double)lA);
4504   prhs[6] =  mxCreateDoubleScalar((double)lB);
4505   prhs[7] =  mxCreateString(sctx->funcname);
4506   prhs[8] =  sctx->ctx;
4507   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
4508   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4509   *flag   =  (MatStructure) mxGetScalar(plhs[1]);CHKERRQ(ierr);
4510   mxDestroyArray(prhs[0]);
4511   mxDestroyArray(prhs[1]);
4512   mxDestroyArray(prhs[2]);
4513   mxDestroyArray(prhs[3]);
4514   mxDestroyArray(prhs[4]);
4515   mxDestroyArray(prhs[5]);
4516   mxDestroyArray(prhs[6]);
4517   mxDestroyArray(prhs[7]);
4518   mxDestroyArray(plhs[0]);
4519   mxDestroyArray(plhs[1]);
4520   PetscFunctionReturn(0);
4521 }
4522 
4523 
4524 #undef __FUNCT__
4525 #define __FUNCT__ "TSSetJacobianMatlab"
4526 /*
4527    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
4528    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
4529 
4530    Logically Collective on TS
4531 
4532    Input Parameters:
4533 +  ts - the TS context
4534 .  A,B - Jacobian matrices
4535 .  func - function evaluation routine
4536 -  ctx - user context
4537 
4538    Calling sequence of func:
4539 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
4540 
4541 
4542    Level: developer
4543 
4544 .keywords: TS, nonlinear, set, function
4545 
4546 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4547 */
4548 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
4549 {
4550   PetscErrorCode  ierr;
4551   TSMatlabContext *sctx;
4552 
4553   PetscFunctionBegin;
4554   /* currently sctx is memory bleed */
4555   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4556   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4557   /*
4558      This should work, but it doesn't
4559   sctx->ctx = ctx;
4560   mexMakeArrayPersistent(sctx->ctx);
4561   */
4562   sctx->ctx = mxDuplicateArray(ctx);
4563 
4564   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
4565   PetscFunctionReturn(0);
4566 }
4567 
4568 #undef __FUNCT__
4569 #define __FUNCT__ "TSMonitor_Matlab"
4570 /*
4571    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
4572 
4573    Collective on TS
4574 
4575 .seealso: TSSetFunction(), TSGetFunction()
4576 @*/
4577 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
4578 {
4579   PetscErrorCode  ierr;
4580   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
4581   int             nlhs  = 1,nrhs = 6;
4582   mxArray         *plhs[1],*prhs[6];
4583   long long int   lx = 0,ls = 0;
4584 
4585   PetscFunctionBegin;
4586   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4587   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4588 
4589   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
4590   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
4591 
4592   prhs[0] =  mxCreateDoubleScalar((double)ls);
4593   prhs[1] =  mxCreateDoubleScalar((double)it);
4594   prhs[2] =  mxCreateDoubleScalar((double)time);
4595   prhs[3] =  mxCreateDoubleScalar((double)lx);
4596   prhs[4] =  mxCreateString(sctx->funcname);
4597   prhs[5] =  sctx->ctx;
4598   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
4599   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
4600   mxDestroyArray(prhs[0]);
4601   mxDestroyArray(prhs[1]);
4602   mxDestroyArray(prhs[2]);
4603   mxDestroyArray(prhs[3]);
4604   mxDestroyArray(prhs[4]);
4605   mxDestroyArray(plhs[0]);
4606   PetscFunctionReturn(0);
4607 }
4608 
4609 
4610 #undef __FUNCT__
4611 #define __FUNCT__ "TSMonitorSetMatlab"
4612 /*
4613    TSMonitorSetMatlab - Sets the monitor function from Matlab
4614 
4615    Level: developer
4616 
4617 .keywords: TS, nonlinear, set, function
4618 
4619 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
4620 */
4621 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
4622 {
4623   PetscErrorCode  ierr;
4624   TSMatlabContext *sctx;
4625 
4626   PetscFunctionBegin;
4627   /* currently sctx is memory bleed */
4628   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
4629   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
4630   /*
4631      This should work, but it doesn't
4632   sctx->ctx = ctx;
4633   mexMakeArrayPersistent(sctx->ctx);
4634   */
4635   sctx->ctx = mxDuplicateArray(ctx);
4636 
4637   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
4638   PetscFunctionReturn(0);
4639 }
4640 #endif
4641 
4642 
4643 
4644 #undef __FUNCT__
4645 #define __FUNCT__ "TSMonitorLGSolution"
4646 /*@C
4647    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
4648        in a time based line graph
4649 
4650    Collective on TS
4651 
4652    Input Parameters:
4653 +  ts - the TS context
4654 .  step - current time-step
4655 .  ptime - current time
4656 -  lg - a line graph object
4657 
4658    Level: intermediate
4659 
4660     Notes: each process in a parallel run displays its component solutions in a separate window
4661 
4662 .keywords: TS,  vector, monitor, view
4663 
4664 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4665 @*/
4666 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4667 {
4668   PetscErrorCode    ierr;
4669   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4670   const PetscScalar *yy;
4671   PetscInt          dim;
4672 
4673   PetscFunctionBegin;
4674   if (!step) {
4675     PetscDrawAxis axis;
4676     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4677     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
4678     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4679     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4680     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4681   }
4682   ierr = VecGetArrayRead(u,&yy);CHKERRQ(ierr);
4683 #if defined(PETSC_USE_COMPLEX)
4684   {
4685     PetscReal *yreal;
4686     PetscInt  i,n;
4687     ierr = VecGetLocalSize(u,&n);CHKERRQ(ierr);
4688     ierr = PetscMalloc(n*sizeof(PetscReal),&yreal);CHKERRQ(ierr);
4689     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4690     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4691     ierr = PetscFree(yreal);CHKERRQ(ierr);
4692   }
4693 #else
4694   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4695 #endif
4696   ierr = VecRestoreArrayRead(u,&yy);CHKERRQ(ierr);
4697   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4698     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4699   }
4700   PetscFunctionReturn(0);
4701 }
4702 
4703 #undef __FUNCT__
4704 #define __FUNCT__ "TSMonitorLGError"
4705 /*@C
4706    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
4707        in a time based line graph
4708 
4709    Collective on TS
4710 
4711    Input Parameters:
4712 +  ts - the TS context
4713 .  step - current time-step
4714 .  ptime - current time
4715 -  lg - a line graph object
4716 
4717    Level: intermediate
4718 
4719    Notes:
4720    Only for sequential solves.
4721 
4722    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
4723 
4724    Options Database Keys:
4725 .  -ts_monitor_lg_error - create a graphical monitor of error history
4726 
4727 .keywords: TS,  vector, monitor, view
4728 
4729 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
4730 @*/
4731 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4732 {
4733   PetscErrorCode    ierr;
4734   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
4735   const PetscScalar *yy;
4736   Vec               y;
4737   PetscInt          dim;
4738 
4739   PetscFunctionBegin;
4740   if (!step) {
4741     PetscDrawAxis axis;
4742     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4743     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
4744     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
4745     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
4746     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4747   }
4748   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
4749   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
4750   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
4751   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
4752 #if defined(PETSC_USE_COMPLEX)
4753   {
4754     PetscReal *yreal;
4755     PetscInt  i,n;
4756     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
4757     ierr = PetscMalloc(n*sizeof(PetscReal),&yreal);CHKERRQ(ierr);
4758     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
4759     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
4760     ierr = PetscFree(yreal);CHKERRQ(ierr);
4761   }
4762 #else
4763   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
4764 #endif
4765   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
4766   ierr = VecDestroy(&y);CHKERRQ(ierr);
4767   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4768     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4769   }
4770   PetscFunctionReturn(0);
4771 }
4772 
4773 #undef __FUNCT__
4774 #define __FUNCT__ "TSMonitorLGSNESIterations"
4775 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4776 {
4777   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4778   PetscReal      x   = ptime,y;
4779   PetscErrorCode ierr;
4780   PetscInt       its;
4781 
4782   PetscFunctionBegin;
4783   if (!n) {
4784     PetscDrawAxis axis;
4785 
4786     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4787     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
4788     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4789 
4790     ctx->snes_its = 0;
4791   }
4792   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
4793   y    = its - ctx->snes_its;
4794   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4795   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4796     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4797   }
4798   ctx->snes_its = its;
4799   PetscFunctionReturn(0);
4800 }
4801 
4802 #undef __FUNCT__
4803 #define __FUNCT__ "TSMonitorLGKSPIterations"
4804 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
4805 {
4806   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4807   PetscReal      x   = ptime,y;
4808   PetscErrorCode ierr;
4809   PetscInt       its;
4810 
4811   PetscFunctionBegin;
4812   if (!n) {
4813     PetscDrawAxis axis;
4814 
4815     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4816     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
4817     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4818 
4819     ctx->ksp_its = 0;
4820   }
4821   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
4822   y    = its - ctx->ksp_its;
4823   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4824   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
4825     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4826   }
4827   ctx->ksp_its = its;
4828   PetscFunctionReturn(0);
4829 }
4830 
4831 #undef __FUNCT__
4832 #define __FUNCT__ "TSComputeLinearStability"
4833 /*@
4834    TSComputeLinearStability - computes the linear stability function at a point
4835 
4836    Collective on TS and Vec
4837 
4838    Input Parameters:
4839 +  ts - the TS context
4840 -  xr,xi - real and imaginary part of input arguments
4841 
4842    Output Parameters:
4843 .  yr,yi - real and imaginary part of function value
4844 
4845    Level: developer
4846 
4847 .keywords: TS, compute
4848 
4849 .seealso: TSSetRHSFunction(), TSComputeIFunction()
4850 @*/
4851 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
4852 {
4853   PetscErrorCode ierr;
4854 
4855   PetscFunctionBegin;
4856   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4857   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
4858   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
4859   PetscFunctionReturn(0);
4860 }
4861 
4862 #undef __FUNCT__
4863 #define __FUNCT__ "TSRollBack"
4864 /*@
4865    TSRollBack - Rolls back one time step
4866 
4867    Collective on TS
4868 
4869    Input Parameter:
4870 .  ts - the TS context obtained from TSCreate()
4871 
4872    Level: advanced
4873 
4874 .keywords: TS, timestep, rollback
4875 
4876 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
4877 @*/
4878 PetscErrorCode  TSRollBack(TS ts)
4879 {
4880   PetscErrorCode ierr;
4881 
4882   PetscFunctionBegin;
4883   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
4884 
4885   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
4886   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
4887   ts->time_step = ts->ptime - ts->ptime_prev;
4888   ts->ptime = ts->ptime_prev;
4889   PetscFunctionReturn(0);
4890 }
4891 
4892 #undef __FUNCT__
4893 #define __FUNCT__ "TSSetEventMonitor"
4894 /*@C
4895    TSSetEventMonitor - Sets a monitoring function used for detecting events
4896 
4897    Logically Collective on TS
4898 
4899    Input Parameters:
4900 +  ts - the TS context obtained from TSCreate()
4901 .  nevents - number of events
4902 .  eventmonitor - event monitoring routine
4903 .  postevent - [optional] post-event function
4904 -  mectx - [optional] user-defined context for private data for the
4905               event monitor and post event routine (use NULL if no
4906               context is desired)
4907 
4908    Calling sequence of eventmonitor:
4909    PetscErrorCode EventMonitor(TS ts,PetscReal t,Vec U,PetscScalar *fvalue,PetscInt *direction,PetscBool *terminate,void* mectx)
4910 
4911    Input Parameters:
4912 +  ts  - the TS context
4913 .  t   - current time
4914 .  U   - current iterate
4915 -  ctx - [optional] context passed with eventmonitor
4916 
4917    Output parameters:
4918 +  fvalue    - function value of events at time t
4919 .  direction - direction of zero crossing to be detected. -1 => Zero crossing in negative direction,
4920                +1 => Zero crossing in positive direction, 0 => both ways
4921 -  terminate - terminate time stepping after event is detected.
4922 
4923    Calling sequence of postevent:
4924    PetscErrorCode PostEvent(TS ts,PetscInt nevents_zero, PetscInt events_zero, PetscReal t,Vec U,void* ctx)
4925 
4926    Input Parameters:
4927 +  ts - the TS context
4928 .  nevents_zero - number of events whose event function is zero
4929 .  events_zero  - indices of events which have reached zero
4930 .  t            - current time
4931 .  U            - current solution
4932 -  ctx          - the context passed with eventmonitor
4933 
4934    Level: intermediate
4935 
4936 .keywords: TS, event, set, monitor
4937 
4938 .seealso: TSCreate(), TSSetTimeStep(), TSSetConvergedReason()
4939 @*/
4940 PetscErrorCode TSSetEventMonitor(TS ts,PetscInt nevents,PetscErrorCode (*eventmonitor)(TS,PetscReal,Vec,PetscScalar*,PetscInt*,PetscBool*,void*),PetscErrorCode (*postevent)(TS,PetscInt,PetscInt[],PetscReal,Vec,void*),void *mectx)
4941 {
4942   PetscErrorCode ierr;
4943   PetscReal      t;
4944   Vec            U;
4945   TSEvent        event;
4946 
4947   PetscFunctionBegin;
4948   ierr = PetscNew(struct _p_TSEvent,&ts->event);CHKERRQ(ierr);
4949   event = ts->event;
4950   ierr = PetscMalloc(nevents*sizeof(PetscScalar),&event->fvalue);CHKERRQ(ierr);
4951   ierr = PetscMalloc(nevents*sizeof(PetscScalar),&event->fvalue_prev);CHKERRQ(ierr);
4952   ierr = PetscMalloc(nevents*sizeof(PetscBool),&event->terminate);CHKERRQ(ierr);
4953   ierr = PetscMalloc(nevents*sizeof(PetscInt),&event->direction);CHKERRQ(ierr);
4954   ierr = PetscMalloc(nevents*sizeof(PetscInt),&event->events_zero);CHKERRQ(ierr);
4955   event->monitor = eventmonitor;
4956   event->postevent = postevent;
4957   event->monitorcontext = (void*)mectx;
4958   event->nevents = nevents;
4959 
4960   ierr = TSGetTime(ts,&t);CHKERRQ(ierr);
4961   ierr = TSGetTimeStep(ts,&event->initial_timestep);CHKERRQ(ierr);
4962   ierr = TSGetSolution(ts,&U);CHKERRQ(ierr);
4963   event->ptime_prev = t;
4964   ierr = (*event->monitor)(ts,t,U,event->fvalue_prev,event->direction,event->terminate,mectx);CHKERRQ(ierr);
4965   ierr = PetscOptionsBegin(PETSC_COMM_WORLD,NULL,"TS Event options","");CHKERRQ(ierr);
4966   {
4967     event->tol = 1.0e-6;
4968     ierr = PetscOptionsReal("-ts_event_tol","","",event->tol,&event->tol,NULL);CHKERRQ(ierr);
4969   }
4970   ierr = PetscOptionsEnd();CHKERRQ(ierr);
4971   PetscFunctionReturn(0);
4972 }
4973 
4974 #undef __FUNCT__
4975 #define __FUNCT__ "TSPostEvent"
4976 PetscErrorCode TSPostEvent(TS ts,PetscInt nevents_zero,PetscInt events_zero[],PetscReal t,Vec U,void *ctx)
4977 {
4978   PetscErrorCode ierr;
4979   TSEvent        event=ts->event;
4980   PetscBool      terminate=PETSC_FALSE;
4981   PetscInt       i;
4982   PetscBool      ts_terminate;
4983 
4984   PetscFunctionBegin;
4985   if (event->postevent) {
4986     ierr = (*event->postevent)(ts,nevents_zero,events_zero,t,U,ctx);CHKERRQ(ierr);
4987   }
4988   for(i = 0; i < nevents_zero;i++) {
4989     terminate = terminate || event->terminate[events_zero[i]];
4990   }
4991   ierr = MPI_Allreduce(&terminate,&ts_terminate,1,MPIU_INT,MPI_MAX,((PetscObject)ts)->comm);CHKERRQ(ierr);
4992   if (terminate) {
4993     ierr = TSSetConvergedReason(ts,TS_CONVERGED_EVENT);CHKERRQ(ierr);
4994     event->status = TSEVENT_NONE;
4995   } else {
4996     event->status = TSEVENT_RESET_NEXTSTEP;
4997   }
4998   PetscFunctionReturn(0);
4999 }
5000 
5001 #undef __FUNCT__
5002 #define __FUNCT__ "TSEventMonitorDestroy"
5003 PetscErrorCode TSEventMonitorDestroy(TSEvent *event)
5004 {
5005   PetscErrorCode ierr;
5006 
5007   PetscFunctionBegin;
5008   ierr = PetscFree((*event)->fvalue);CHKERRQ(ierr);
5009   ierr = PetscFree((*event)->fvalue_prev);CHKERRQ(ierr);
5010   ierr = PetscFree((*event)->terminate);CHKERRQ(ierr);
5011   ierr = PetscFree((*event)->direction);CHKERRQ(ierr);
5012   ierr = PetscFree((*event)->events_zero);CHKERRQ(ierr);
5013   ierr = PetscFree(*event);CHKERRQ(ierr);
5014   *event = NULL;
5015   PetscFunctionReturn(0);
5016 }
5017 
5018 #undef __FUNCT__
5019 #define __FUNCT__ "TSEventMonitor"
5020 PetscErrorCode TSEventMonitor(TS ts)
5021 {
5022   PetscErrorCode ierr;
5023   TSEvent        event=ts->event;
5024   PetscReal      t;
5025   Vec            U;
5026   PetscInt       i;
5027   PetscReal      dt;
5028   PetscInt       status=event->status;
5029   PetscInt       rollback=0,in[2],out[2];
5030 
5031   PetscFunctionBegin;
5032 
5033   ierr = TSGetTime(ts,&t);CHKERRQ(ierr);
5034   ierr = TSGetSolution(ts,&U);CHKERRQ(ierr);
5035 
5036   ierr = TSGetTimeStep(ts,&dt);CHKERRQ(ierr);
5037   if (event->status == TSEVENT_RESET_NEXTSTEP) {
5038     /* Take initial time step */
5039     dt = event->initial_timestep;
5040     ts->time_step = dt;
5041     event->status = TSEVENT_NONE;
5042   }
5043 
5044   if (event->status == TSEVENT_NONE) {
5045     event->tstepend   = t;
5046   }
5047 
5048   event->nevents_zero = 0;
5049 
5050   ierr = (*event->monitor)(ts,t,U,event->fvalue,event->direction,event->terminate,event->monitorcontext);CHKERRQ(ierr);
5051   if (event->status != TSEVENT_NONE) {
5052     for (i=0; i < event->nevents; i++) {
5053       if (PetscAbs(event->fvalue[i]) < event->tol) {
5054 	event->status = TSEVENT_ZERO;
5055 	event->events_zero[event->nevents_zero++] = i;
5056       }
5057     }
5058   }
5059 
5060   status = event->status;
5061   ierr = MPI_Allreduce(&status,&event->status,1,MPIU_INT,MPI_MAX,((PetscObject)ts)->comm);CHKERRQ(ierr);
5062 
5063   if (event->status == TSEVENT_ZERO) {
5064     dt = event->tstepend-t;
5065     ts->time_step = dt;
5066     ierr = TSPostEvent(ts,event->nevents_zero,event->events_zero,t,U,event->monitorcontext);CHKERRQ(ierr);
5067     for (i = 0; i < event->nevents; i++) {
5068       event->fvalue_prev[i] = event->fvalue[i];
5069     }
5070     event->ptime_prev  = t;
5071     PetscFunctionReturn(0);
5072   }
5073 
5074   for (i = 0; i < event->nevents; i++) {
5075     if ((event->direction[i] < 0 && PetscSign(event->fvalue[i]) <= 0 && PetscSign(event->fvalue_prev[i]) >= 0) || \
5076         (event->direction[i] > 0 && PetscSign(event->fvalue[i]) >= 0 && PetscSign(event->fvalue_prev[i]) <= 0) || \
5077         (event->direction[i] == 0 && PetscSign(event->fvalue[i])*PetscSign(event->fvalue_prev[i]) <= 0)) {
5078 
5079       event->status = TSEVENT_LOCATED_INTERVAL;
5080       rollback = 1;
5081       /* Compute linearly interpolated new time step */
5082       dt = PetscMin(dt,-event->fvalue_prev[i]*(t - event->ptime_prev)/(event->fvalue[i] - event->fvalue_prev[i]));
5083     }
5084   }
5085   in[0] = event->status;
5086   in[1] = rollback;
5087   ierr = MPI_Allreduce(in,out,2,MPIU_INT,MPI_MAX,((PetscObject)ts)->comm);CHKERRQ(ierr);
5088 
5089   rollback = out[1];
5090   if (rollback) {
5091     event->status = TSEVENT_LOCATED_INTERVAL;
5092   }
5093 
5094   if (event->status == TSEVENT_LOCATED_INTERVAL) {
5095     ierr = TSRollBack(ts);CHKERRQ(ierr);
5096     event->status = TSEVENT_PROCESSING;
5097   } else {
5098     for (i = 0; i < event->nevents; i++) {
5099       event->fvalue_prev[i] = event->fvalue[i];
5100     }
5101     event->ptime_prev  = t;
5102     if (event->status == TSEVENT_PROCESSING) {
5103       dt = event->tstepend - event->ptime_prev;
5104     }
5105   }
5106   PetscReal time_step;
5107   ierr = MPI_Allreduce(&dt,&time_step,1,MPIU_REAL,MPI_MIN,((PetscObject)ts)->comm);CHKERRQ(ierr);
5108   ts->time_step = time_step;
5109   PetscFunctionReturn(0);
5110 }
5111 
5112