xref: /petsc/src/ts/interface/ts.c (revision 7dd42bbaa135494ed32e16fd8b2ca0023653500d)
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_AdjointStep, TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"UNSPECIFIED","STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   Vec           initialsolution;
17   PetscBool     showinitial;
18   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
19   PetscBool     showtimestepandtime;
20 };
21 
22 #undef __FUNCT__
23 #define __FUNCT__ "TSMonitorSetFromOptions"
24 /*@C
25    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
26 
27    Collective on TS
28 
29    Input Parameters:
30 +  ts - TS object you wish to monitor
31 .  name - the monitor type one is seeking
32 .  help - message indicating what monitoring is done
33 .  manual - manual page for the monitor
34 .  monitor - the monitor function
35 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
36 
37    Level: developer
38 
39 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
40           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
41           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
42           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
43           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
44           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
45           PetscOptionsFList(), PetscOptionsEList()
46 @*/
47 PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
48 {
49   PetscErrorCode    ierr;
50   PetscViewer       viewer;
51   PetscViewerFormat format;
52   PetscBool         flg;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
56   if (flg) {
57     PetscViewerAndFormat *vf;
58     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
59     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
60     if (monitorsetup) {
61       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
62     }
63     ierr = TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
64   }
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "TSAdjointMonitorSetFromOptions"
70 /*@C
71    TSAdjointMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
72 
73    Collective on TS
74 
75    Input Parameters:
76 +  ts - TS object you wish to monitor
77 .  name - the monitor type one is seeking
78 .  help - message indicating what monitoring is done
79 .  manual - manual page for the monitor
80 .  monitor - the monitor function
81 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
82 
83    Level: developer
84 
85 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
86           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
87           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
88           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
89           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
90           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
91           PetscOptionsFList(), PetscOptionsEList()
92 @*/
93 PetscErrorCode  TSAdjointMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
94 {
95   PetscErrorCode    ierr;
96   PetscViewer       viewer;
97   PetscViewerFormat format;
98   PetscBool         flg;
99 
100   PetscFunctionBegin;
101   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
102   if (flg) {
103     PetscViewerAndFormat *vf;
104     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
105     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
106     if (monitorsetup) {
107       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
108     }
109     ierr = TSAdjointMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
110   }
111   PetscFunctionReturn(0);
112 }
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "TSSetFromOptions"
116 /*@
117    TSSetFromOptions - Sets various TS parameters from user options.
118 
119    Collective on TS
120 
121    Input Parameter:
122 .  ts - the TS context obtained from TSCreate()
123 
124    Options Database Keys:
125 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSALPHA, TSGL, TSSSP
126 .  -ts_save_trajectory - checkpoint the solution at each time-step
127 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
128 .  -ts_final_time <time> - maximum time to compute to
129 .  -ts_dt <dt> - initial time step
130 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
131 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
132 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
133 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
134 .  -ts_rtol <rtol> - relative tolerance for local truncation error
135 .  -ts_atol <atol> Absolute tolerance for local truncation error
136 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
137 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
138 .  -ts_monitor - print information at each timestep
139 .  -ts_monitor_lg_solution - Monitor solution graphically
140 .  -ts_monitor_lg_error - Monitor error graphically
141 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
142 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
143 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
144 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
145 .  -ts_monitor_draw_solution - Monitor solution graphically
146 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
147 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
148 .  -ts_monitor_solution [ascii binary draw][:filename][:viewerformat] - monitors the solution at each timestep
149 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
150 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
151 .  -ts_adjoint_monitor - print information at each adjoint time step
152 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
153 
154    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
155 
156    Level: beginner
157 
158 .keywords: TS, timestep, set, options, database
159 
160 .seealso: TSGetType()
161 @*/
162 PetscErrorCode  TSSetFromOptions(TS ts)
163 {
164   PetscBool              opt,flg,tflg;
165   PetscErrorCode         ierr;
166   char                   monfilename[PETSC_MAX_PATH_LEN];
167   PetscReal              time_step;
168   TSExactFinalTimeOption eftopt;
169   char                   dir[16];
170   TSIFunction            ifun;
171   const char             *defaultType;
172   char                   typeName[256];
173 
174   PetscFunctionBegin;
175   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
176 
177   ierr = TSRegisterAll();CHKERRQ(ierr);
178   ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
179 
180   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
181   if (((PetscObject)ts)->type_name)
182     defaultType = ((PetscObject)ts)->type_name;
183   else
184     defaultType = ifun ? TSBEULER : TSEULER;
185   ierr = PetscOptionsFList("-ts_type","TS method","TSSetType",TSList,defaultType,typeName,256,&opt);CHKERRQ(ierr);
186   if (opt) {
187     ierr = TSSetType(ts,typeName);CHKERRQ(ierr);
188   } else {
189     ierr = TSSetType(ts,defaultType);CHKERRQ(ierr);
190   }
191 
192   /* Handle generic TS options */
193   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
194   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
195   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
196   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
197   if (flg) {ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);}
198   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);
199   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
200   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
201   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
202   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
203   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
204   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
205 
206 #if defined(PETSC_HAVE_SAWS)
207   {
208   PetscBool set;
209   flg  = PETSC_FALSE;
210   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
211   if (set) {
212     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
213   }
214   }
215 #endif
216 
217   /* Monitor options */
218   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor","Monitor time and timestep size","TSMonitorDefault",TSMonitorDefault,NULL);CHKERRQ(ierr);
219   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor_solution","View the solution at each timestep","TSMonitorSolution",TSMonitorSolution,NULL);CHKERRQ(ierr);
220   ierr = TSAdjointMonitorSetFromOptions(ts,"-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault",TSAdjointMonitorDefault,NULL);CHKERRQ(ierr);
221 
222   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
223   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
224 
225   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
226   if (opt) {
227     TSMonitorLGCtx ctx;
228     PetscInt       howoften = 1;
229 
230     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
231     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
232     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
233   }
234 
235   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorLGCtx ctx;
238     PetscInt       howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
243   }
244 
245   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
246   if (opt) {
247     TSMonitorLGCtx ctx;
248     PetscInt       howoften = 1;
249 
250     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
251     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
252     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
253   }
254   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
255   if (opt) {
256     TSMonitorLGCtx ctx;
257     PetscInt       howoften = 1;
258 
259     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
260     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
261     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
262   }
263   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
264   if (opt) {
265     TSMonitorLGCtx ctx;
266     PetscInt       howoften = 1;
267 
268     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
269     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
270     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
271   }
272   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
273   if (opt) {
274     TSMonitorSPEigCtx ctx;
275     PetscInt          howoften = 1;
276 
277     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
278     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
280   }
281   opt  = PETSC_FALSE;
282   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
283   if (opt) {
284     TSMonitorDrawCtx ctx;
285     PetscInt         howoften = 1;
286 
287     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
288     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
289     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
290   }
291   opt  = PETSC_FALSE;
292   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
293   if (opt) {
294     TSMonitorDrawCtx ctx;
295     PetscInt         howoften = 1;
296 
297     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
298     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
299     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
300   }
301   opt  = PETSC_FALSE;
302   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
303   if (opt) {
304     TSMonitorDrawCtx ctx;
305     PetscReal        bounds[4];
306     PetscInt         n = 4;
307     PetscDraw        draw;
308     PetscDrawAxis    axis;
309 
310     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
311     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
312     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,1,&ctx);CHKERRQ(ierr);
313     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
314     ierr = PetscViewerDrawGetDrawAxis(ctx->viewer,0,&axis);CHKERRQ(ierr);
315     ierr = PetscDrawAxisSetLimits(axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
316     ierr = PetscDrawAxisSetLabels(axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
317     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
318   }
319   opt  = PETSC_FALSE;
320   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
321   if (opt) {
322     TSMonitorDrawCtx ctx;
323     PetscInt         howoften = 1;
324 
325     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
326     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
327     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
328   }
329 
330   opt  = PETSC_FALSE;
331   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);
332   if (flg) {
333     const char *ptr,*ptr2;
334     char       *filetemplate;
335     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
336     /* Do some cursory validation of the input. */
337     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
338     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
339     for (ptr++; ptr && *ptr; ptr++) {
340       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
341       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");
342       if (ptr2) break;
343     }
344     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
345     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
346   }
347 
348   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
349   if (flg) {
350     TSMonitorDMDARayCtx *rayctx;
351     int                  ray = 0;
352     DMDADirection        ddir;
353     DM                   da;
354     PetscMPIInt          rank;
355 
356     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
357     if (dir[0] == 'x') ddir = DMDA_X;
358     else if (dir[0] == 'y') ddir = DMDA_Y;
359     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
360     sscanf(dir+2,"%d",&ray);
361 
362     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
363     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
364     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
365     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
366     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
367     if (!rank) {
368       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
369     }
370     rayctx->lgctx = NULL;
371     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
372   }
373   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
374   if (flg) {
375     TSMonitorDMDARayCtx *rayctx;
376     int                 ray = 0;
377     DMDADirection       ddir;
378     DM                  da;
379     PetscInt            howoften = 1;
380 
381     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
382     if      (dir[0] == 'x') ddir = DMDA_X;
383     else if (dir[0] == 'y') ddir = DMDA_Y;
384     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
385     sscanf(dir+2, "%d", &ray);
386 
387     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
388     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
389     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
390     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
391     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
392     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
393   }
394 
395   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
396   if (opt) {
397     TSMonitorEnvelopeCtx ctx;
398 
399     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
400     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
401   }
402 
403   flg  = PETSC_FALSE;
404   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
405   if (flg) {
406     DM   dm;
407     DMTS tdm;
408 
409     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
410     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
411     tdm->ijacobianctx = NULL;
412     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
413     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
414   }
415 
416   if (ts->adapt) {
417     ierr = TSAdaptSetFromOptions(PetscOptionsObject,ts->adapt);CHKERRQ(ierr);
418   }
419 
420   /* Handle specific TS options */
421   if (ts->ops->setfromoptions) {
422     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
423   }
424 
425   /* TS trajectory must be set after TS, since it may use some TS options above */
426   tflg = ts->trajectory ? PETSC_TRUE : PETSC_FALSE;
427   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
428   if (tflg) {
429     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
430   }
431   tflg = ts->adjoint_solve ? PETSC_TRUE : PETSC_FALSE;
432   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
433   if (flg) {
434     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
435     ts->adjoint_solve = tflg;
436   }
437 
438   /* process any options handlers added with PetscObjectAddOptionsHandler() */
439   ierr = PetscObjectProcessOptionsHandlers(PetscOptionsObject,(PetscObject)ts);CHKERRQ(ierr);
440   ierr = PetscOptionsEnd();CHKERRQ(ierr);
441 
442   if (ts->trajectory) {
443     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
444   }
445 
446   ierr = TSGetSNES(ts,&ts->snes);CHKERRQ(ierr);
447   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);}
448   ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSSetSaveTrajectory"
454 /*@
455    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
456 
457    Collective on TS
458 
459    Input Parameters:
460 .  ts - the TS context obtained from TSCreate()
461 
462 Note: This routine should be called after all TS options have been set
463 
464    Level: intermediate
465 
466 .seealso: TSGetTrajectory(), TSAdjointSolve()
467 
468 .keywords: TS, set, checkpoint,
469 @*/
470 PetscErrorCode  TSSetSaveTrajectory(TS ts)
471 {
472   PetscErrorCode ierr;
473 
474   PetscFunctionBegin;
475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
476   if (!ts->trajectory) {
477     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
478     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "TSComputeRHSJacobian"
485 /*@
486    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
487       set with TSSetRHSJacobian().
488 
489    Collective on TS and Vec
490 
491    Input Parameters:
492 +  ts - the TS context
493 .  t - current timestep
494 -  U - input vector
495 
496    Output Parameters:
497 +  A - Jacobian matrix
498 .  B - optional preconditioning matrix
499 -  flag - flag indicating matrix structure
500 
501    Notes:
502    Most users should not need to explicitly call this routine, as it
503    is used internally within the nonlinear solvers.
504 
505    See KSPSetOperators() for important information about setting the
506    flag parameter.
507 
508    Level: developer
509 
510 .keywords: SNES, compute, Jacobian, matrix
511 
512 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
513 @*/
514 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
515 {
516   PetscErrorCode ierr;
517   PetscObjectState Ustate;
518   DM             dm;
519   DMTS           tsdm;
520   TSRHSJacobian  rhsjacobianfunc;
521   void           *ctx;
522   TSIJacobian    ijacobianfunc;
523   TSRHSFunction  rhsfunction;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
527   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
528   PetscCheckSameComm(ts,1,U,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
531   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
532   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
533   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
534   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
535   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
536     PetscFunctionReturn(0);
537   }
538 
539   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
540 
541   if (ts->rhsjacobian.reuse) {
542     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
543     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
544     if (A != B) {
545       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
546       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
547     }
548     ts->rhsjacobian.shift = 0;
549     ts->rhsjacobian.scale = 1.;
550   }
551 
552   if (rhsjacobianfunc) {
553     PetscBool missing;
554     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
555     PetscStackPush("TS user Jacobian function");
556     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
557     PetscStackPop;
558     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
559     if (A) {
560       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
561       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
562     }
563     if (B && B != A) {
564       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
565       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
566     }
567   } else {
568     ierr = MatZeroEntries(A);CHKERRQ(ierr);
569     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
570   }
571   ts->rhsjacobian.time       = t;
572   ts->rhsjacobian.X          = U;
573   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSComputeRHSFunction"
579 /*@
580    TSComputeRHSFunction - Evaluates the right-hand-side function.
581 
582    Collective on TS and Vec
583 
584    Input Parameters:
585 +  ts - the TS context
586 .  t - current time
587 -  U - state vector
588 
589    Output Parameter:
590 .  y - right hand side
591 
592    Note:
593    Most users should not need to explicitly call this routine, as it
594    is used internally within the nonlinear solvers.
595 
596    Level: developer
597 
598 .keywords: TS, compute
599 
600 .seealso: TSSetRHSFunction(), TSComputeIFunction()
601 @*/
602 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
603 {
604   PetscErrorCode ierr;
605   TSRHSFunction  rhsfunction;
606   TSIFunction    ifunction;
607   void           *ctx;
608   DM             dm;
609 
610   PetscFunctionBegin;
611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
612   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
613   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
614   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
615   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
616   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
617 
618   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
619 
620   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
621   if (rhsfunction) {
622     PetscStackPush("TS user right-hand-side function");
623     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
624     PetscStackPop;
625   } else {
626     ierr = VecZeroEntries(y);CHKERRQ(ierr);
627   }
628 
629   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "TSComputeSolutionFunction"
635 /*@
636    TSComputeSolutionFunction - Evaluates the solution function.
637 
638    Collective on TS and Vec
639 
640    Input Parameters:
641 +  ts - the TS context
642 -  t - current time
643 
644    Output Parameter:
645 .  U - the solution
646 
647    Note:
648    Most users should not need to explicitly call this routine, as it
649    is used internally within the nonlinear solvers.
650 
651    Level: developer
652 
653 .keywords: TS, compute
654 
655 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
656 @*/
657 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
658 {
659   PetscErrorCode     ierr;
660   TSSolutionFunction solutionfunction;
661   void               *ctx;
662   DM                 dm;
663 
664   PetscFunctionBegin;
665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
666   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
669 
670   if (solutionfunction) {
671     PetscStackPush("TS user solution function");
672     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
673     PetscStackPop;
674   }
675   PetscFunctionReturn(0);
676 }
677 #undef __FUNCT__
678 #define __FUNCT__ "TSComputeForcingFunction"
679 /*@
680    TSComputeForcingFunction - Evaluates the forcing function.
681 
682    Collective on TS and Vec
683 
684    Input Parameters:
685 +  ts - the TS context
686 -  t - current time
687 
688    Output Parameter:
689 .  U - the function value
690 
691    Note:
692    Most users should not need to explicitly call this routine, as it
693    is used internally within the nonlinear solvers.
694 
695    Level: developer
696 
697 .keywords: TS, compute
698 
699 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
700 @*/
701 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
702 {
703   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
704   void               *ctx;
705   DM                 dm;
706 
707   PetscFunctionBegin;
708   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
709   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
711   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
712 
713   if (forcing) {
714     PetscStackPush("TS user forcing function");
715     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
716     PetscStackPop;
717   }
718   PetscFunctionReturn(0);
719 }
720 
721 #undef __FUNCT__
722 #define __FUNCT__ "TSGetRHSVec_Private"
723 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
724 {
725   Vec            F;
726   PetscErrorCode ierr;
727 
728   PetscFunctionBegin;
729   *Frhs = NULL;
730   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
731   if (!ts->Frhs) {
732     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
733   }
734   *Frhs = ts->Frhs;
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "TSGetRHSMats_Private"
740 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
741 {
742   Mat            A,B;
743   PetscErrorCode ierr;
744 
745   PetscFunctionBegin;
746   if (Arhs) *Arhs = NULL;
747   if (Brhs) *Brhs = NULL;
748   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
749   if (Arhs) {
750     if (!ts->Arhs) {
751       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
752     }
753     *Arhs = ts->Arhs;
754   }
755   if (Brhs) {
756     if (!ts->Brhs) {
757       if (A != B) {
758         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
759       } else {
760         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
761         ts->Brhs = ts->Arhs;
762       }
763     }
764     *Brhs = ts->Brhs;
765   }
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIFunction"
771 /*@
772    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
773 
774    Collective on TS and Vec
775 
776    Input Parameters:
777 +  ts - the TS context
778 .  t - current time
779 .  U - state vector
780 .  Udot - time derivative of state vector
781 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
782 
783    Output Parameter:
784 .  Y - right hand side
785 
786    Note:
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    If the user did did not write their equations in implicit form, this
791    function recasts them in implicit form.
792 
793    Level: developer
794 
795 .keywords: TS, compute
796 
797 .seealso: TSSetIFunction(), TSComputeRHSFunction()
798 @*/
799 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
800 {
801   PetscErrorCode ierr;
802   TSIFunction    ifunction;
803   TSRHSFunction  rhsfunction;
804   void           *ctx;
805   DM             dm;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
809   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
810   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
811   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
816 
817   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
818 
819   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
820   if (ifunction) {
821     PetscStackPush("TS user implicit function");
822     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824   }
825   if (imex) {
826     if (!ifunction) {
827       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
828     }
829   } else if (rhsfunction) {
830     if (ifunction) {
831       Vec Frhs;
832       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
833       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
834       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
835     } else {
836       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
837       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
838     }
839   }
840   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
841   PetscFunctionReturn(0);
842 }
843 
844 #undef __FUNCT__
845 #define __FUNCT__ "TSComputeIJacobian"
846 /*@
847    TSComputeIJacobian - Evaluates the Jacobian of the DAE
848 
849    Collective on TS and Vec
850 
851    Input
852       Input Parameters:
853 +  ts - the TS context
854 .  t - current timestep
855 .  U - state vector
856 .  Udot - time derivative of state vector
857 .  shift - shift to apply, see note below
858 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
859 
860    Output Parameters:
861 +  A - Jacobian matrix
862 .  B - optional preconditioning matrix
863 -  flag - flag indicating matrix structure
864 
865    Notes:
866    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
867 
868    dF/dU + shift*dF/dUdot
869 
870    Most users should not need to explicitly call this routine, as it
871    is used internally within the nonlinear solvers.
872 
873    Level: developer
874 
875 .keywords: TS, compute, Jacobian, matrix
876 
877 .seealso:  TSSetIJacobian()
878 @*/
879 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
880 {
881   PetscErrorCode ierr;
882   TSIJacobian    ijacobian;
883   TSRHSJacobian  rhsjacobian;
884   DM             dm;
885   void           *ctx;
886 
887   PetscFunctionBegin;
888   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
889   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
890   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
891   PetscValidPointer(A,6);
892   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
893   PetscValidPointer(B,7);
894   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
895 
896   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
897   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
898   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
899 
900   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
901 
902   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
903   if (ijacobian) {
904     PetscBool missing;
905     PetscStackPush("TS user implicit Jacobian");
906     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
907     PetscStackPop;
908     if (A) {
909       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
910       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
911     }
912     if (B && B != A) {
913       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
914       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
915     }
916   }
917   if (imex) {
918     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
919       ierr = MatZeroEntries(A);CHKERRQ(ierr);
920       ierr = MatShift(A,shift);CHKERRQ(ierr);
921       if (A != B) {
922         ierr = MatZeroEntries(B);CHKERRQ(ierr);
923         ierr = MatShift(B,shift);CHKERRQ(ierr);
924       }
925     }
926   } else {
927     Mat Arhs = NULL,Brhs = NULL;
928     if (rhsjacobian) {
929       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
930       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
931     }
932     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
933       ts->rhsjacobian.scale = -1;
934       ts->rhsjacobian.shift = shift;
935       ierr = MatScale(A,-1);CHKERRQ(ierr);
936       ierr = MatShift(A,shift);CHKERRQ(ierr);
937       if (A != B) {
938         ierr = MatScale(B,-1);CHKERRQ(ierr);
939         ierr = MatShift(B,shift);CHKERRQ(ierr);
940       }
941     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
942       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
943       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
944         ierr = MatZeroEntries(A);CHKERRQ(ierr);
945         ierr = MatShift(A,shift);CHKERRQ(ierr);
946         if (A != B) {
947           ierr = MatZeroEntries(B);CHKERRQ(ierr);
948           ierr = MatShift(B,shift);CHKERRQ(ierr);
949         }
950       }
951       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
952       if (A != B) {
953         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
954       }
955     }
956   }
957   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 #undef __FUNCT__
962 #define __FUNCT__ "TSSetRHSFunction"
963 /*@C
964     TSSetRHSFunction - Sets the routine for evaluating the function,
965     where U_t = G(t,u).
966 
967     Logically Collective on TS
968 
969     Input Parameters:
970 +   ts - the TS context obtained from TSCreate()
971 .   r - vector to put the computed right hand side (or NULL to have it created)
972 .   f - routine for evaluating the right-hand-side function
973 -   ctx - [optional] user-defined context for private data for the
974           function evaluation routine (may be NULL)
975 
976     Calling sequence of func:
977 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
978 
979 +   t - current timestep
980 .   u - input vector
981 .   F - function vector
982 -   ctx - [optional] user-defined function context
983 
984     Level: beginner
985 
986     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
987 
988 .keywords: TS, timestep, set, right-hand-side, function
989 
990 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
991 @*/
992 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
993 {
994   PetscErrorCode ierr;
995   SNES           snes;
996   Vec            ralloc = NULL;
997   DM             dm;
998 
999   PetscFunctionBegin;
1000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1001   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1002 
1003   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1004   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
1005   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1006   if (!r && !ts->dm && ts->vec_sol) {
1007     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1008     r = ralloc;
1009   }
1010   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1011   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1012   PetscFunctionReturn(0);
1013 }
1014 
1015 #undef __FUNCT__
1016 #define __FUNCT__ "TSSetSolutionFunction"
1017 /*@C
1018     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
1019 
1020     Logically Collective on TS
1021 
1022     Input Parameters:
1023 +   ts - the TS context obtained from TSCreate()
1024 .   f - routine for evaluating the solution
1025 -   ctx - [optional] user-defined context for private data for the
1026           function evaluation routine (may be NULL)
1027 
1028     Calling sequence of func:
1029 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1030 
1031 +   t - current timestep
1032 .   u - output vector
1033 -   ctx - [optional] user-defined function context
1034 
1035     Notes:
1036     This routine is used for testing accuracy of time integration schemes when you already know the solution.
1037     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
1038     create closed-form solutions with non-physical forcing terms.
1039 
1040     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1041 
1042     Level: beginner
1043 
1044 .keywords: TS, timestep, set, right-hand-side, function
1045 
1046 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
1047 @*/
1048 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1049 {
1050   PetscErrorCode ierr;
1051   DM             dm;
1052 
1053   PetscFunctionBegin;
1054   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1055   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1056   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #undef __FUNCT__
1061 #define __FUNCT__ "TSSetForcingFunction"
1062 /*@C
1063     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
1064 
1065     Logically Collective on TS
1066 
1067     Input Parameters:
1068 +   ts - the TS context obtained from TSCreate()
1069 .   f - routine for evaluating the forcing function
1070 -   ctx - [optional] user-defined context for private data for the
1071           function evaluation routine (may be NULL)
1072 
1073     Calling sequence of func:
1074 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1075 
1076 +   t - current timestep
1077 .   u - output vector
1078 -   ctx - [optional] user-defined function context
1079 
1080     Notes:
1081     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1082     create closed-form solutions with a non-physical forcing term.
1083 
1084     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1085 
1086     Level: beginner
1087 
1088 .keywords: TS, timestep, set, right-hand-side, function
1089 
1090 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1091 @*/
1092 PetscErrorCode  TSSetForcingFunction(TS ts,TSForcingFunction f,void *ctx)
1093 {
1094   PetscErrorCode ierr;
1095   DM             dm;
1096 
1097   PetscFunctionBegin;
1098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1099   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1100   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "TSSetRHSJacobian"
1106 /*@C
1107    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1108    where U_t = G(U,t), as well as the location to store the matrix.
1109 
1110    Logically Collective on TS
1111 
1112    Input Parameters:
1113 +  ts  - the TS context obtained from TSCreate()
1114 .  Amat - (approximate) Jacobian matrix
1115 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1116 .  f   - the Jacobian evaluation routine
1117 -  ctx - [optional] user-defined context for private data for the
1118          Jacobian evaluation routine (may be NULL)
1119 
1120    Calling sequence of f:
1121 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1122 
1123 +  t - current timestep
1124 .  u - input vector
1125 .  Amat - (approximate) Jacobian matrix
1126 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1127 -  ctx - [optional] user-defined context for matrix evaluation routine
1128 
1129    Notes:
1130    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1131 
1132    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1133    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1134 
1135    Level: beginner
1136 
1137 .keywords: TS, timestep, set, right-hand-side, Jacobian
1138 
1139 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1140 
1141 @*/
1142 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1143 {
1144   PetscErrorCode ierr;
1145   SNES           snes;
1146   DM             dm;
1147   TSIJacobian    ijacobian;
1148 
1149   PetscFunctionBegin;
1150   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1151   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1152   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1153   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1154   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1155 
1156   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1157   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1158   if (f == TSComputeRHSJacobianConstant) {
1159     /* Handle this case automatically for the user; otherwise user should call themselves. */
1160     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1161   }
1162   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1163   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1164   if (!ijacobian) {
1165     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1166   }
1167   if (Amat) {
1168     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1169     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1170     ts->Arhs = Amat;
1171   }
1172   if (Pmat) {
1173     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1174     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1175     ts->Brhs = Pmat;
1176   }
1177   PetscFunctionReturn(0);
1178 }
1179 
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "TSSetIFunction"
1183 /*@C
1184    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1185 
1186    Logically Collective on TS
1187 
1188    Input Parameters:
1189 +  ts  - the TS context obtained from TSCreate()
1190 .  r   - vector to hold the residual (or NULL to have it created internally)
1191 .  f   - the function evaluation routine
1192 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1193 
1194    Calling sequence of f:
1195 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1196 
1197 +  t   - time at step/stage being solved
1198 .  u   - state vector
1199 .  u_t - time derivative of state vector
1200 .  F   - function vector
1201 -  ctx - [optional] user-defined context for matrix evaluation routine
1202 
1203    Important:
1204    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1205 
1206    Level: beginner
1207 
1208 .keywords: TS, timestep, set, DAE, Jacobian
1209 
1210 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1211 @*/
1212 PetscErrorCode  TSSetIFunction(TS ts,Vec r,TSIFunction f,void *ctx)
1213 {
1214   PetscErrorCode ierr;
1215   SNES           snes;
1216   Vec            ralloc = NULL;
1217   DM             dm;
1218 
1219   PetscFunctionBegin;
1220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1221   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1222 
1223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1224   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1225 
1226   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1227   if (!r && !ts->dm && ts->vec_sol) {
1228     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1229     r  = ralloc;
1230   }
1231   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1232   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "TSGetIFunction"
1238 /*@C
1239    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1240 
1241    Not Collective
1242 
1243    Input Parameter:
1244 .  ts - the TS context
1245 
1246    Output Parameter:
1247 +  r - vector to hold residual (or NULL)
1248 .  func - the function to compute residual (or NULL)
1249 -  ctx - the function context (or NULL)
1250 
1251    Level: advanced
1252 
1253 .keywords: TS, nonlinear, get, function
1254 
1255 .seealso: TSSetIFunction(), SNESGetFunction()
1256 @*/
1257 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1258 {
1259   PetscErrorCode ierr;
1260   SNES           snes;
1261   DM             dm;
1262 
1263   PetscFunctionBegin;
1264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1265   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1266   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1267   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1268   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "TSGetRHSFunction"
1274 /*@C
1275    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1276 
1277    Not Collective
1278 
1279    Input Parameter:
1280 .  ts - the TS context
1281 
1282    Output Parameter:
1283 +  r - vector to hold computed right hand side (or NULL)
1284 .  func - the function to compute right hand side (or NULL)
1285 -  ctx - the function context (or NULL)
1286 
1287    Level: advanced
1288 
1289 .keywords: TS, nonlinear, get, function
1290 
1291 .seealso: TSSetRHSFunction(), SNESGetFunction()
1292 @*/
1293 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1294 {
1295   PetscErrorCode ierr;
1296   SNES           snes;
1297   DM             dm;
1298 
1299   PetscFunctionBegin;
1300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1301   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1302   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1303   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1304   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1305   PetscFunctionReturn(0);
1306 }
1307 
1308 #undef __FUNCT__
1309 #define __FUNCT__ "TSSetIJacobian"
1310 /*@C
1311    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1312         provided with TSSetIFunction().
1313 
1314    Logically Collective on TS
1315 
1316    Input Parameters:
1317 +  ts  - the TS context obtained from TSCreate()
1318 .  Amat - (approximate) Jacobian matrix
1319 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1320 .  f   - the Jacobian evaluation routine
1321 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1322 
1323    Calling sequence of f:
1324 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1325 
1326 +  t    - time at step/stage being solved
1327 .  U    - state vector
1328 .  U_t  - time derivative of state vector
1329 .  a    - shift
1330 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1331 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1332 -  ctx  - [optional] user-defined context for matrix evaluation routine
1333 
1334    Notes:
1335    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1336 
1337    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1338    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1339 
1340    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1341    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1342    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1343    a and vector W depend on the integration method, step size, and past states. For example with
1344    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1345    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1346 
1347    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1348 
1349    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1350    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1351 
1352    Level: beginner
1353 
1354 .keywords: TS, timestep, DAE, Jacobian
1355 
1356 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1357 
1358 @*/
1359 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1360 {
1361   PetscErrorCode ierr;
1362   SNES           snes;
1363   DM             dm;
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1368   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1369   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1370   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1371 
1372   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1373   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1374 
1375   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1376   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "TSRHSJacobianSetReuse"
1382 /*@
1383    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1384    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1385    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1386    not been changed by the TS.
1387 
1388    Logically Collective
1389 
1390    Input Arguments:
1391 +  ts - TS context obtained from TSCreate()
1392 -  reuse - PETSC_TRUE if the RHS Jacobian
1393 
1394    Level: intermediate
1395 
1396 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1397 @*/
1398 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1399 {
1400   PetscFunctionBegin;
1401   ts->rhsjacobian.reuse = reuse;
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "TSSetI2Function"
1407 /*@C
1408    TSSetI2Function - Set the function to compute F(t,U,U_t,U_tt) where F = 0 is the DAE to be solved.
1409 
1410    Logically Collective on TS
1411 
1412    Input Parameters:
1413 +  ts  - the TS context obtained from TSCreate()
1414 .  F   - vector to hold the residual (or NULL to have it created internally)
1415 .  fun - the function evaluation routine
1416 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1417 
1418    Calling sequence of fun:
1419 $  fun(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,Vec F,ctx);
1420 
1421 +  t    - time at step/stage being solved
1422 .  U    - state vector
1423 .  U_t  - time derivative of state vector
1424 .  U_tt - second time derivative of state vector
1425 .  F    - function vector
1426 -  ctx  - [optional] user-defined context for matrix evaluation routine (may be NULL)
1427 
1428    Level: beginner
1429 
1430 .keywords: TS, timestep, set, ODE, DAE, Function
1431 
1432 .seealso: TSSetI2Jacobian()
1433 @*/
1434 PetscErrorCode TSSetI2Function(TS ts,Vec F,TSI2Function fun,void *ctx)
1435 {
1436   DM             dm;
1437   PetscErrorCode ierr;
1438 
1439   PetscFunctionBegin;
1440   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1441   if (F) PetscValidHeaderSpecific(F,VEC_CLASSID,2);
1442   ierr = TSSetIFunction(ts,F,NULL,NULL);CHKERRQ(ierr);
1443   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1444   ierr = DMTSSetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1445   PetscFunctionReturn(0);
1446 }
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "TSGetI2Function"
1450 /*@C
1451   TSGetI2Function - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1452 
1453   Not Collective
1454 
1455   Input Parameter:
1456 . ts - the TS context
1457 
1458   Output Parameter:
1459 + r - vector to hold residual (or NULL)
1460 . fun - the function to compute residual (or NULL)
1461 - ctx - the function context (or NULL)
1462 
1463   Level: advanced
1464 
1465 .keywords: TS, nonlinear, get, function
1466 
1467 .seealso: TSSetI2Function(), SNESGetFunction()
1468 @*/
1469 PetscErrorCode TSGetI2Function(TS ts,Vec *r,TSI2Function *fun,void **ctx)
1470 {
1471   PetscErrorCode ierr;
1472   SNES           snes;
1473   DM             dm;
1474 
1475   PetscFunctionBegin;
1476   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1477   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1478   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1479   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1480   ierr = DMTSGetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1481   PetscFunctionReturn(0);
1482 }
1483 
1484 #undef __FUNCT__
1485 #define __FUNCT__ "TSSetI2Jacobian"
1486 /*@C
1487    TSSetI2Jacobian - Set the function to compute the matrix dF/dU + v*dF/dU_t  + a*dF/dU_tt
1488         where F(t,U,U_t,U_tt) is the function you provided with TSSetI2Function().
1489 
1490    Logically Collective on TS
1491 
1492    Input Parameters:
1493 +  ts  - the TS context obtained from TSCreate()
1494 .  J   - Jacobian matrix
1495 .  P   - preconditioning matrix for J (may be same as J)
1496 .  jac - the Jacobian evaluation routine
1497 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1498 
1499    Calling sequence of jac:
1500 $  jac(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,PetscReal v,PetscReal a,Mat J,Mat P,void *ctx);
1501 
1502 +  t    - time at step/stage being solved
1503 .  U    - state vector
1504 .  U_t  - time derivative of state vector
1505 .  U_tt - second time derivative of state vector
1506 .  v    - shift for U_t
1507 .  a    - shift for U_tt
1508 .  J    - Jacobian of G(U) = F(t,U,W+v*U,W'+a*U), equivalent to dF/dU + v*dF/dU_t  + a*dF/dU_tt
1509 .  P    - preconditioning matrix for J, may be same as J
1510 -  ctx  - [optional] user-defined context for matrix evaluation routine
1511 
1512    Notes:
1513    The matrices J and P are exactly the matrices that are used by SNES for the nonlinear solve.
1514 
1515    The matrix dF/dU + v*dF/dU_t + a*dF/dU_tt you provide turns out to be
1516    the Jacobian of G(U) = F(t,U,W+v*U,W'+a*U) where F(t,U,U_t,U_tt) = 0 is the DAE to be solved.
1517    The time integrator internally approximates U_t by W+v*U and U_tt by W'+a*U  where the positive "shift"
1518    parameters 'v' and 'a' and vectors W, W' depend on the integration method, step size, and past states.
1519 
1520    Level: beginner
1521 
1522 .keywords: TS, timestep, set, ODE, DAE, Jacobian
1523 
1524 .seealso: TSSetI2Function()
1525 @*/
1526 PetscErrorCode TSSetI2Jacobian(TS ts,Mat J,Mat P,TSI2Jacobian jac,void *ctx)
1527 {
1528   DM             dm;
1529   PetscErrorCode ierr;
1530 
1531   PetscFunctionBegin;
1532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1533   if (J) PetscValidHeaderSpecific(J,MAT_CLASSID,2);
1534   if (P) PetscValidHeaderSpecific(P,MAT_CLASSID,3);
1535   ierr = TSSetIJacobian(ts,J,P,NULL,NULL);CHKERRQ(ierr);
1536   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1537   ierr = DMTSSetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1538   PetscFunctionReturn(0);
1539 }
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "TSGetI2Jacobian"
1543 /*@C
1544   TSGetI2Jacobian - Returns the implicit Jacobian at the present timestep.
1545 
1546   Not Collective, but parallel objects are returned if TS is parallel
1547 
1548   Input Parameter:
1549 . ts  - The TS context obtained from TSCreate()
1550 
1551   Output Parameters:
1552 + J  - The (approximate) Jacobian of F(t,U,U_t,U_tt)
1553 . P - The matrix from which the preconditioner is constructed, often the same as J
1554 . jac - The function to compute the Jacobian matrices
1555 - ctx - User-defined context for Jacobian evaluation routine
1556 
1557   Notes: You can pass in NULL for any return argument you do not need.
1558 
1559   Level: advanced
1560 
1561 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
1562 
1563 .keywords: TS, timestep, get, matrix, Jacobian
1564 @*/
1565 PetscErrorCode  TSGetI2Jacobian(TS ts,Mat *J,Mat *P,TSI2Jacobian *jac,void **ctx)
1566 {
1567   PetscErrorCode ierr;
1568   SNES           snes;
1569   DM             dm;
1570 
1571   PetscFunctionBegin;
1572   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1573   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
1574   ierr = SNESGetJacobian(snes,J,P,NULL,NULL);CHKERRQ(ierr);
1575   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1576   ierr = DMTSGetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1577   PetscFunctionReturn(0);
1578 }
1579 
1580 #undef __FUNCT__
1581 #define __FUNCT__ "TSComputeI2Function"
1582 /*@
1583   TSComputeI2Function - Evaluates the DAE residual written in implicit form F(t,U,U_t,U_tt) = 0
1584 
1585   Collective on TS and Vec
1586 
1587   Input Parameters:
1588 + ts - the TS context
1589 . t - current time
1590 . U - state vector
1591 . V - time derivative of state vector (U_t)
1592 - A - second time derivative of state vector (U_tt)
1593 
1594   Output Parameter:
1595 . F - the residual vector
1596 
1597   Note:
1598   Most users should not need to explicitly call this routine, as it
1599   is used internally within the nonlinear solvers.
1600 
1601   Level: developer
1602 
1603 .keywords: TS, compute, function, vector
1604 
1605 .seealso: TSSetI2Function()
1606 @*/
1607 PetscErrorCode TSComputeI2Function(TS ts,PetscReal t,Vec U,Vec V,Vec A,Vec F)
1608 {
1609   DM             dm;
1610   TSI2Function   I2Function;
1611   void           *ctx;
1612   TSRHSFunction  rhsfunction;
1613   PetscErrorCode ierr;
1614 
1615   PetscFunctionBegin;
1616   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1617   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1618   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1619   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1620   PetscValidHeaderSpecific(F,VEC_CLASSID,6);
1621 
1622   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1623   ierr = DMTSGetI2Function(dm,&I2Function,&ctx);CHKERRQ(ierr);
1624   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
1625 
1626   if (!I2Function) {
1627     ierr = TSComputeIFunction(ts,t,U,A,F,PETSC_FALSE);CHKERRQ(ierr);
1628     PetscFunctionReturn(0);
1629   }
1630 
1631   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1632 
1633   PetscStackPush("TS user implicit function");
1634   ierr = I2Function(ts,t,U,V,A,F,ctx);CHKERRQ(ierr);
1635   PetscStackPop;
1636 
1637   if (rhsfunction) {
1638     Vec Frhs;
1639     ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
1640     ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
1641     ierr = VecAXPY(F,-1,Frhs);CHKERRQ(ierr);
1642   }
1643 
1644   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1645   PetscFunctionReturn(0);
1646 }
1647 
1648 #undef __FUNCT__
1649 #define __FUNCT__ "TSComputeI2Jacobian"
1650 /*@
1651   TSComputeI2Jacobian - Evaluates the Jacobian of the DAE
1652 
1653   Collective on TS and Vec
1654 
1655   Input Parameters:
1656 + ts - the TS context
1657 . t - current timestep
1658 . U - state vector
1659 . V - time derivative of state vector
1660 . A - second time derivative of state vector
1661 . shiftV - shift to apply, see note below
1662 - shiftA - shift to apply, see note below
1663 
1664   Output Parameters:
1665 + J - Jacobian matrix
1666 - P - optional preconditioning matrix
1667 
1668   Notes:
1669   If F(t,U,V,A)=0 is the DAE, the required Jacobian is
1670 
1671   dF/dU + shiftV*dF/dV + shiftA*dF/dA
1672 
1673   Most users should not need to explicitly call this routine, as it
1674   is used internally within the nonlinear solvers.
1675 
1676   Level: developer
1677 
1678 .keywords: TS, compute, Jacobian, matrix
1679 
1680 .seealso:  TSSetI2Jacobian()
1681 @*/
1682 PetscErrorCode TSComputeI2Jacobian(TS ts,PetscReal t,Vec U,Vec V,Vec A,PetscReal shiftV,PetscReal shiftA,Mat J,Mat P)
1683 {
1684   DM             dm;
1685   TSI2Jacobian   I2Jacobian;
1686   void           *ctx;
1687   TSRHSJacobian  rhsjacobian;
1688   PetscErrorCode ierr;
1689 
1690   PetscFunctionBegin;
1691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1692   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1693   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1694   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1695   PetscValidHeaderSpecific(J,MAT_CLASSID,8);
1696   PetscValidHeaderSpecific(P,MAT_CLASSID,9);
1697 
1698   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1699   ierr = DMTSGetI2Jacobian(dm,&I2Jacobian,&ctx);CHKERRQ(ierr);
1700   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
1701 
1702   if (!I2Jacobian) {
1703     ierr = TSComputeIJacobian(ts,t,U,A,shiftA,J,P,PETSC_FALSE);CHKERRQ(ierr);
1704     PetscFunctionReturn(0);
1705   }
1706 
1707   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1708 
1709   PetscStackPush("TS user implicit Jacobian");
1710   ierr = I2Jacobian(ts,t,U,V,A,shiftV,shiftA,J,P,ctx);CHKERRQ(ierr);
1711   PetscStackPop;
1712 
1713   if (rhsjacobian) {
1714     Mat Jrhs,Prhs; MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
1715     ierr = TSGetRHSMats_Private(ts,&Jrhs,&Prhs);CHKERRQ(ierr);
1716     ierr = TSComputeRHSJacobian(ts,t,U,Jrhs,Prhs);CHKERRQ(ierr);
1717     ierr = MatAXPY(J,-1,Jrhs,axpy);CHKERRQ(ierr);
1718     if (P != J) {ierr = MatAXPY(P,-1,Prhs,axpy);CHKERRQ(ierr);}
1719   }
1720 
1721   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1722   PetscFunctionReturn(0);
1723 }
1724 
1725 #undef __FUNCT__
1726 #define __FUNCT__ "TS2SetSolution"
1727 /*@
1728    TS2SetSolution - Sets the initial solution and time derivative vectors
1729    for use by the TS routines handling second order equations.
1730 
1731    Logically Collective on TS and Vec
1732 
1733    Input Parameters:
1734 +  ts - the TS context obtained from TSCreate()
1735 .  u - the solution vector
1736 -  v - the time derivative vector
1737 
1738    Level: beginner
1739 
1740 .keywords: TS, timestep, set, solution, initial conditions
1741 @*/
1742 PetscErrorCode  TS2SetSolution(TS ts,Vec u,Vec v)
1743 {
1744   PetscErrorCode ierr;
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1748   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
1749   PetscValidHeaderSpecific(v,VEC_CLASSID,3);
1750   ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
1751   ierr = PetscObjectReference((PetscObject)v);CHKERRQ(ierr);
1752   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
1753   ts->vec_dot = v;
1754   PetscFunctionReturn(0);
1755 }
1756 
1757 #undef __FUNCT__
1758 #define __FUNCT__ "TS2GetSolution"
1759 /*@
1760    TS2GetSolution - Returns the solution and time derivative at the present timestep
1761    for second order equations. It is valid to call this routine inside the function
1762    that you are evaluating in order to move to the new timestep. This vector not
1763    changed until the solution at the next timestep has been calculated.
1764 
1765    Not Collective, but Vec returned is parallel if TS is parallel
1766 
1767    Input Parameter:
1768 .  ts - the TS context obtained from TSCreate()
1769 
1770    Output Parameter:
1771 +  u - the vector containing the solution
1772 -  v - the vector containing the time derivative
1773 
1774    Level: intermediate
1775 
1776 .seealso: TS2SetSolution(), TSGetTimeStep(), TSGetTime()
1777 
1778 .keywords: TS, timestep, get, solution
1779 @*/
1780 PetscErrorCode  TS2GetSolution(TS ts,Vec *u,Vec *v)
1781 {
1782   PetscFunctionBegin;
1783   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1784   if (u) PetscValidPointer(u,2);
1785   if (v) PetscValidPointer(v,3);
1786   if (u) *u = ts->vec_sol;
1787   if (v) *v = ts->vec_dot;
1788   PetscFunctionReturn(0);
1789 }
1790 
1791 #undef __FUNCT__
1792 #define __FUNCT__ "TSLoad"
1793 /*@C
1794   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1795 
1796   Collective on PetscViewer
1797 
1798   Input Parameters:
1799 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1800            some related function before a call to TSLoad().
1801 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1802 
1803    Level: intermediate
1804 
1805   Notes:
1806    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1807 
1808   Notes for advanced users:
1809   Most users should not need to know the details of the binary storage
1810   format, since TSLoad() and TSView() completely hide these details.
1811   But for anyone who's interested, the standard binary matrix storage
1812   format is
1813 .vb
1814      has not yet been determined
1815 .ve
1816 
1817 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1818 @*/
1819 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1820 {
1821   PetscErrorCode ierr;
1822   PetscBool      isbinary;
1823   PetscInt       classid;
1824   char           type[256];
1825   DMTS           sdm;
1826   DM             dm;
1827 
1828   PetscFunctionBegin;
1829   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1830   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1831   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1832   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1833 
1834   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1835   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1836   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1837   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1838   if (ts->ops->load) {
1839     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1840   }
1841   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1842   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1843   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1844   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1845   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1846   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1847   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 #include <petscdraw.h>
1852 #if defined(PETSC_HAVE_SAWS)
1853 #include <petscviewersaws.h>
1854 #endif
1855 #undef __FUNCT__
1856 #define __FUNCT__ "TSView"
1857 /*@C
1858     TSView - Prints the TS data structure.
1859 
1860     Collective on TS
1861 
1862     Input Parameters:
1863 +   ts - the TS context obtained from TSCreate()
1864 -   viewer - visualization context
1865 
1866     Options Database Key:
1867 .   -ts_view - calls TSView() at end of TSStep()
1868 
1869     Notes:
1870     The available visualization contexts include
1871 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1872 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1873          output where only the first processor opens
1874          the file.  All other processors send their
1875          data to the first processor to print.
1876 
1877     The user can open an alternative visualization context with
1878     PetscViewerASCIIOpen() - output to a specified file.
1879 
1880     Level: beginner
1881 
1882 .keywords: TS, timestep, view
1883 
1884 .seealso: PetscViewerASCIIOpen()
1885 @*/
1886 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1887 {
1888   PetscErrorCode ierr;
1889   TSType         type;
1890   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1891   DMTS           sdm;
1892 #if defined(PETSC_HAVE_SAWS)
1893   PetscBool      issaws;
1894 #endif
1895 
1896   PetscFunctionBegin;
1897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1898   if (!viewer) {
1899     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1900   }
1901   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1902   PetscCheckSameComm(ts,1,viewer,2);
1903 
1904   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1905   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1906   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1907   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1908 #if defined(PETSC_HAVE_SAWS)
1909   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1910 #endif
1911   if (iascii) {
1912     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1913     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1914     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1915     if (ts->problem_type == TS_NONLINEAR) {
1916       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1917       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1918     }
1919     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1920     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1921     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1922     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1923     if (ts->ops->view) {
1924       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1925       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1926       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1927     }
1928   } else if (isstring) {
1929     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1930     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1931   } else if (isbinary) {
1932     PetscInt    classid = TS_FILE_CLASSID;
1933     MPI_Comm    comm;
1934     PetscMPIInt rank;
1935     char        type[256];
1936 
1937     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1938     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1939     if (!rank) {
1940       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1941       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1942       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1943     }
1944     if (ts->ops->view) {
1945       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1946     }
1947     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1948     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1949     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1950     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1951   } else if (isdraw) {
1952     PetscDraw draw;
1953     char      str[36];
1954     PetscReal x,y,bottom,h;
1955 
1956     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1957     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1958     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1959     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1960     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1961     bottom = y - h;
1962     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1963     if (ts->ops->view) {
1964       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1965     }
1966     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1967 #if defined(PETSC_HAVE_SAWS)
1968   } else if (issaws) {
1969     PetscMPIInt rank;
1970     const char  *name;
1971 
1972     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1973     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1974     if (!((PetscObject)ts)->amsmem && !rank) {
1975       char       dir[1024];
1976 
1977       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1978       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1979       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1980       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1981       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1982     }
1983     if (ts->ops->view) {
1984       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1985     }
1986 #endif
1987   }
1988 
1989   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1990   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1991   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1992   PetscFunctionReturn(0);
1993 }
1994 
1995 
1996 #undef __FUNCT__
1997 #define __FUNCT__ "TSSetApplicationContext"
1998 /*@
1999    TSSetApplicationContext - Sets an optional user-defined context for
2000    the timesteppers.
2001 
2002    Logically Collective on TS
2003 
2004    Input Parameters:
2005 +  ts - the TS context obtained from TSCreate()
2006 -  usrP - optional user context
2007 
2008    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2009     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2010 
2011    Level: intermediate
2012 
2013 .keywords: TS, timestep, set, application, context
2014 
2015 .seealso: TSGetApplicationContext()
2016 @*/
2017 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
2018 {
2019   PetscFunctionBegin;
2020   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2021   ts->user = usrP;
2022   PetscFunctionReturn(0);
2023 }
2024 
2025 #undef __FUNCT__
2026 #define __FUNCT__ "TSGetApplicationContext"
2027 /*@
2028     TSGetApplicationContext - Gets the user-defined context for the
2029     timestepper.
2030 
2031     Not Collective
2032 
2033     Input Parameter:
2034 .   ts - the TS context obtained from TSCreate()
2035 
2036     Output Parameter:
2037 .   usrP - user context
2038 
2039    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2040     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2041 
2042     Level: intermediate
2043 
2044 .keywords: TS, timestep, get, application, context
2045 
2046 .seealso: TSSetApplicationContext()
2047 @*/
2048 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
2049 {
2050   PetscFunctionBegin;
2051   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2052   *(void**)usrP = ts->user;
2053   PetscFunctionReturn(0);
2054 }
2055 
2056 #undef __FUNCT__
2057 #define __FUNCT__ "TSGetTimeStepNumber"
2058 /*@
2059    TSGetTimeStepNumber - Gets the number of time steps completed.
2060 
2061    Not Collective
2062 
2063    Input Parameter:
2064 .  ts - the TS context obtained from TSCreate()
2065 
2066    Output Parameter:
2067 .  iter - number of steps completed so far
2068 
2069    Level: intermediate
2070 
2071 .keywords: TS, timestep, get, iteration, number
2072 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
2073 @*/
2074 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
2075 {
2076   PetscFunctionBegin;
2077   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2078   PetscValidIntPointer(iter,2);
2079   *iter = ts->steps;
2080   PetscFunctionReturn(0);
2081 }
2082 
2083 #undef __FUNCT__
2084 #define __FUNCT__ "TSSetInitialTimeStep"
2085 /*@
2086    TSSetInitialTimeStep - Sets the initial timestep to be used,
2087    as well as the initial time.
2088 
2089    Logically Collective on TS
2090 
2091    Input Parameters:
2092 +  ts - the TS context obtained from TSCreate()
2093 .  initial_time - the initial time
2094 -  time_step - the size of the timestep
2095 
2096    Level: intermediate
2097 
2098 .seealso: TSSetTimeStep(), TSGetTimeStep()
2099 
2100 .keywords: TS, set, initial, timestep
2101 @*/
2102 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
2103 {
2104   PetscErrorCode ierr;
2105 
2106   PetscFunctionBegin;
2107   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2108   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
2109   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
2110   PetscFunctionReturn(0);
2111 }
2112 
2113 #undef __FUNCT__
2114 #define __FUNCT__ "TSSetTimeStep"
2115 /*@
2116    TSSetTimeStep - Allows one to reset the timestep at any time,
2117    useful for simple pseudo-timestepping codes.
2118 
2119    Logically Collective on TS
2120 
2121    Input Parameters:
2122 +  ts - the TS context obtained from TSCreate()
2123 -  time_step - the size of the timestep
2124 
2125    Level: intermediate
2126 
2127 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2128 
2129 .keywords: TS, set, timestep
2130 @*/
2131 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
2132 {
2133   PetscFunctionBegin;
2134   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2135   PetscValidLogicalCollectiveReal(ts,time_step,2);
2136   ts->time_step = time_step;
2137   PetscFunctionReturn(0);
2138 }
2139 
2140 #undef __FUNCT__
2141 #define __FUNCT__ "TSSetExactFinalTime"
2142 /*@
2143    TSSetExactFinalTime - Determines whether to adapt the final time step to
2144      match the exact final time, interpolate solution to the exact final time,
2145      or just return at the final time TS computed.
2146 
2147   Logically Collective on TS
2148 
2149    Input Parameter:
2150 +   ts - the time-step context
2151 -   eftopt - exact final time option
2152 
2153 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
2154 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
2155 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
2156 
2157    Options Database:
2158 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
2159 
2160    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
2161     then the final time you selected.
2162 
2163    Level: beginner
2164 
2165 .seealso: TSExactFinalTimeOption
2166 @*/
2167 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
2168 {
2169   PetscFunctionBegin;
2170   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2171   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
2172   ts->exact_final_time = eftopt;
2173   PetscFunctionReturn(0);
2174 }
2175 
2176 #undef __FUNCT__
2177 #define __FUNCT__ "TSGetTimeStep"
2178 /*@
2179    TSGetTimeStep - Gets the current timestep size.
2180 
2181    Not Collective
2182 
2183    Input Parameter:
2184 .  ts - the TS context obtained from TSCreate()
2185 
2186    Output Parameter:
2187 .  dt - the current timestep size
2188 
2189    Level: intermediate
2190 
2191 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2192 
2193 .keywords: TS, get, timestep
2194 @*/
2195 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
2196 {
2197   PetscFunctionBegin;
2198   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2199   PetscValidRealPointer(dt,2);
2200   *dt = ts->time_step;
2201   PetscFunctionReturn(0);
2202 }
2203 
2204 #undef __FUNCT__
2205 #define __FUNCT__ "TSGetSolution"
2206 /*@
2207    TSGetSolution - Returns the solution at the present timestep. It
2208    is valid to call this routine inside the function that you are evaluating
2209    in order to move to the new timestep. This vector not changed until
2210    the solution at the next timestep has been calculated.
2211 
2212    Not Collective, but Vec returned is parallel if TS is parallel
2213 
2214    Input Parameter:
2215 .  ts - the TS context obtained from TSCreate()
2216 
2217    Output Parameter:
2218 .  v - the vector containing the solution
2219 
2220    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
2221    final time. It returns the solution at the next timestep.
2222 
2223    Level: intermediate
2224 
2225 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime()
2226 
2227 .keywords: TS, timestep, get, solution
2228 @*/
2229 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
2230 {
2231   PetscFunctionBegin;
2232   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2233   PetscValidPointer(v,2);
2234   *v = ts->vec_sol;
2235   PetscFunctionReturn(0);
2236 }
2237 
2238 #undef __FUNCT__
2239 #define __FUNCT__ "TSGetCostGradients"
2240 /*@
2241    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2242 
2243    Not Collective, but Vec returned is parallel if TS is parallel
2244 
2245    Input Parameter:
2246 .  ts - the TS context obtained from TSCreate()
2247 
2248    Output Parameter:
2249 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2250 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2251 
2252    Level: intermediate
2253 
2254 .seealso: TSGetTimeStep()
2255 
2256 .keywords: TS, timestep, get, sensitivity
2257 @*/
2258 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2259 {
2260   PetscFunctionBegin;
2261   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2262   if (numcost) *numcost = ts->numcost;
2263   if (lambda)  *lambda  = ts->vecs_sensi;
2264   if (mu)      *mu      = ts->vecs_sensip;
2265   PetscFunctionReturn(0);
2266 }
2267 
2268 /* ----- Routines to initialize and destroy a timestepper ---- */
2269 #undef __FUNCT__
2270 #define __FUNCT__ "TSSetProblemType"
2271 /*@
2272   TSSetProblemType - Sets the type of problem to be solved.
2273 
2274   Not collective
2275 
2276   Input Parameters:
2277 + ts   - The TS
2278 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2279 .vb
2280          U_t - A U = 0      (linear)
2281          U_t - A(t) U = 0   (linear)
2282          F(t,U,U_t) = 0     (nonlinear)
2283 .ve
2284 
2285    Level: beginner
2286 
2287 .keywords: TS, problem type
2288 .seealso: TSSetUp(), TSProblemType, TS
2289 @*/
2290 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2291 {
2292   PetscErrorCode ierr;
2293 
2294   PetscFunctionBegin;
2295   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2296   ts->problem_type = type;
2297   if (type == TS_LINEAR) {
2298     SNES snes;
2299     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2300     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2301   }
2302   PetscFunctionReturn(0);
2303 }
2304 
2305 #undef __FUNCT__
2306 #define __FUNCT__ "TSGetProblemType"
2307 /*@C
2308   TSGetProblemType - Gets the type of problem to be solved.
2309 
2310   Not collective
2311 
2312   Input Parameter:
2313 . ts   - The TS
2314 
2315   Output Parameter:
2316 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2317 .vb
2318          M U_t = A U
2319          M(t) U_t = A(t) U
2320          F(t,U,U_t)
2321 .ve
2322 
2323    Level: beginner
2324 
2325 .keywords: TS, problem type
2326 .seealso: TSSetUp(), TSProblemType, TS
2327 @*/
2328 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2329 {
2330   PetscFunctionBegin;
2331   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2332   PetscValidIntPointer(type,2);
2333   *type = ts->problem_type;
2334   PetscFunctionReturn(0);
2335 }
2336 
2337 #undef __FUNCT__
2338 #define __FUNCT__ "TSSetUp"
2339 /*@
2340    TSSetUp - Sets up the internal data structures for the later use
2341    of a timestepper.
2342 
2343    Collective on TS
2344 
2345    Input Parameter:
2346 .  ts - the TS context obtained from TSCreate()
2347 
2348    Notes:
2349    For basic use of the TS solvers the user need not explicitly call
2350    TSSetUp(), since these actions will automatically occur during
2351    the call to TSStep().  However, if one wishes to control this
2352    phase separately, TSSetUp() should be called after TSCreate()
2353    and optional routines of the form TSSetXXX(), but before TSStep().
2354 
2355    Level: advanced
2356 
2357 .keywords: TS, timestep, setup
2358 
2359 .seealso: TSCreate(), TSStep(), TSDestroy()
2360 @*/
2361 PetscErrorCode  TSSetUp(TS ts)
2362 {
2363   PetscErrorCode ierr;
2364   DM             dm;
2365   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2366   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2367   TSIFunction    ifun;
2368   TSIJacobian    ijac;
2369   TSI2Jacobian   i2jac;
2370   TSRHSJacobian  rhsjac;
2371 
2372   PetscFunctionBegin;
2373   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2374   if (ts->setupcalled) PetscFunctionReturn(0);
2375 
2376   ts->total_steps = 0;
2377   if (!((PetscObject)ts)->type_name) {
2378     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2379     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2380   }
2381 
2382   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2383 
2384   if (ts->rhsjacobian.reuse) {
2385     Mat Amat,Pmat;
2386     SNES snes;
2387     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2388     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2389     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2390      * have displaced the RHS matrix */
2391     if (Amat == ts->Arhs) {
2392       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2393       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2394       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2395     }
2396     if (Pmat == ts->Brhs) {
2397       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2398       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2399       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2400     }
2401   }
2402   if (ts->ops->setup) {
2403     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2404   }
2405 
2406   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2407      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2408    */
2409   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2410   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2411   if (!func) {
2412     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2413   }
2414   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2415      Otherwise, the SNES will use coloring internally to form the Jacobian.
2416    */
2417   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2418   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2419   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2420   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2421   if (!jac && (ijac || i2jac || rhsjac)) {
2422     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2423   }
2424   ts->setupcalled = PETSC_TRUE;
2425   PetscFunctionReturn(0);
2426 }
2427 
2428 #undef __FUNCT__
2429 #define __FUNCT__ "TSAdjointSetUp"
2430 /*@
2431    TSAdjointSetUp - Sets up the internal data structures for the later use
2432    of an adjoint solver
2433 
2434    Collective on TS
2435 
2436    Input Parameter:
2437 .  ts - the TS context obtained from TSCreate()
2438 
2439    Level: advanced
2440 
2441 .keywords: TS, timestep, setup
2442 
2443 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2444 @*/
2445 PetscErrorCode  TSAdjointSetUp(TS ts)
2446 {
2447   PetscErrorCode ierr;
2448 
2449   PetscFunctionBegin;
2450   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2451   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2452   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2453 
2454   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2455     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2456     if (ts->vecs_sensip){
2457       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2458     }
2459   }
2460 
2461   if (ts->ops->adjointsetup) {
2462     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2463   }
2464   ts->adjointsetupcalled = PETSC_TRUE;
2465   PetscFunctionReturn(0);
2466 }
2467 
2468 #undef __FUNCT__
2469 #define __FUNCT__ "TSReset"
2470 /*@
2471    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2472 
2473    Collective on TS
2474 
2475    Input Parameter:
2476 .  ts - the TS context obtained from TSCreate()
2477 
2478    Level: beginner
2479 
2480 .keywords: TS, timestep, reset
2481 
2482 .seealso: TSCreate(), TSSetup(), TSDestroy()
2483 @*/
2484 PetscErrorCode  TSReset(TS ts)
2485 {
2486   PetscErrorCode ierr;
2487 
2488   PetscFunctionBegin;
2489   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2490 
2491   if (ts->ops->reset) {
2492     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2493   }
2494   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2495   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2496 
2497   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2498   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2499   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2500   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2501   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2502   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2503   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2504   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2505 
2506  if (ts->vec_costintegral) {
2507     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2508     if (ts->vecs_drdp){
2509       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2510     }
2511   }
2512   ts->vecs_sensi  = NULL;
2513   ts->vecs_sensip = NULL;
2514   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2515   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2516   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2517   ts->setupcalled = PETSC_FALSE;
2518   PetscFunctionReturn(0);
2519 }
2520 
2521 #undef __FUNCT__
2522 #define __FUNCT__ "TSDestroy"
2523 /*@
2524    TSDestroy - Destroys the timestepper context that was created
2525    with TSCreate().
2526 
2527    Collective on TS
2528 
2529    Input Parameter:
2530 .  ts - the TS context obtained from TSCreate()
2531 
2532    Level: beginner
2533 
2534 .keywords: TS, timestepper, destroy
2535 
2536 .seealso: TSCreate(), TSSetUp(), TSSolve()
2537 @*/
2538 PetscErrorCode  TSDestroy(TS *ts)
2539 {
2540   PetscErrorCode ierr;
2541 
2542   PetscFunctionBegin;
2543   if (!*ts) PetscFunctionReturn(0);
2544   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2545   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2546 
2547   ierr = TSReset((*ts));CHKERRQ(ierr);
2548 
2549   /* if memory was published with SAWs then destroy it */
2550   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2551   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2552 
2553   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2554 
2555   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2556   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2557 
2558   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2559   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2560   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2561   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2562 
2563   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2564   PetscFunctionReturn(0);
2565 }
2566 
2567 #undef __FUNCT__
2568 #define __FUNCT__ "TSGetSNES"
2569 /*@
2570    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2571    a TS (timestepper) context. Valid only for nonlinear problems.
2572 
2573    Not Collective, but SNES is parallel if TS is parallel
2574 
2575    Input Parameter:
2576 .  ts - the TS context obtained from TSCreate()
2577 
2578    Output Parameter:
2579 .  snes - the nonlinear solver context
2580 
2581    Notes:
2582    The user can then directly manipulate the SNES context to set various
2583    options, etc.  Likewise, the user can then extract and manipulate the
2584    KSP, KSP, and PC contexts as well.
2585 
2586    TSGetSNES() does not work for integrators that do not use SNES; in
2587    this case TSGetSNES() returns NULL in snes.
2588 
2589    Level: beginner
2590 
2591 .keywords: timestep, get, SNES
2592 @*/
2593 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2594 {
2595   PetscErrorCode ierr;
2596 
2597   PetscFunctionBegin;
2598   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2599   PetscValidPointer(snes,2);
2600   if (!ts->snes) {
2601     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2602     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2603     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2604     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2605     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2606     if (ts->problem_type == TS_LINEAR) {
2607       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2608     }
2609   }
2610   *snes = ts->snes;
2611   PetscFunctionReturn(0);
2612 }
2613 
2614 #undef __FUNCT__
2615 #define __FUNCT__ "TSSetSNES"
2616 /*@
2617    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2618 
2619    Collective
2620 
2621    Input Parameter:
2622 +  ts - the TS context obtained from TSCreate()
2623 -  snes - the nonlinear solver context
2624 
2625    Notes:
2626    Most users should have the TS created by calling TSGetSNES()
2627 
2628    Level: developer
2629 
2630 .keywords: timestep, set, SNES
2631 @*/
2632 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2633 {
2634   PetscErrorCode ierr;
2635   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2636 
2637   PetscFunctionBegin;
2638   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2639   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2640   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2641   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2642 
2643   ts->snes = snes;
2644 
2645   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2646   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2647   if (func == SNESTSFormJacobian) {
2648     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2649   }
2650   PetscFunctionReturn(0);
2651 }
2652 
2653 #undef __FUNCT__
2654 #define __FUNCT__ "TSGetKSP"
2655 /*@
2656    TSGetKSP - Returns the KSP (linear solver) associated with
2657    a TS (timestepper) context.
2658 
2659    Not Collective, but KSP is parallel if TS is parallel
2660 
2661    Input Parameter:
2662 .  ts - the TS context obtained from TSCreate()
2663 
2664    Output Parameter:
2665 .  ksp - the nonlinear solver context
2666 
2667    Notes:
2668    The user can then directly manipulate the KSP context to set various
2669    options, etc.  Likewise, the user can then extract and manipulate the
2670    KSP and PC contexts as well.
2671 
2672    TSGetKSP() does not work for integrators that do not use KSP;
2673    in this case TSGetKSP() returns NULL in ksp.
2674 
2675    Level: beginner
2676 
2677 .keywords: timestep, get, KSP
2678 @*/
2679 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2680 {
2681   PetscErrorCode ierr;
2682   SNES           snes;
2683 
2684   PetscFunctionBegin;
2685   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2686   PetscValidPointer(ksp,2);
2687   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2688   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2689   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2690   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2691   PetscFunctionReturn(0);
2692 }
2693 
2694 /* ----------- Routines to set solver parameters ---------- */
2695 
2696 #undef __FUNCT__
2697 #define __FUNCT__ "TSGetDuration"
2698 /*@
2699    TSGetDuration - Gets the maximum number of timesteps to use and
2700    maximum time for iteration.
2701 
2702    Not Collective
2703 
2704    Input Parameters:
2705 +  ts       - the TS context obtained from TSCreate()
2706 .  maxsteps - maximum number of iterations to use, or NULL
2707 -  maxtime  - final time to iterate to, or NULL
2708 
2709    Level: intermediate
2710 
2711 .keywords: TS, timestep, get, maximum, iterations, time
2712 @*/
2713 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2714 {
2715   PetscFunctionBegin;
2716   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2717   if (maxsteps) {
2718     PetscValidIntPointer(maxsteps,2);
2719     *maxsteps = ts->max_steps;
2720   }
2721   if (maxtime) {
2722     PetscValidScalarPointer(maxtime,3);
2723     *maxtime = ts->max_time;
2724   }
2725   PetscFunctionReturn(0);
2726 }
2727 
2728 #undef __FUNCT__
2729 #define __FUNCT__ "TSSetDuration"
2730 /*@
2731    TSSetDuration - Sets the maximum number of timesteps to use and
2732    maximum time for iteration.
2733 
2734    Logically Collective on TS
2735 
2736    Input Parameters:
2737 +  ts - the TS context obtained from TSCreate()
2738 .  maxsteps - maximum number of iterations to use
2739 -  maxtime - final time to iterate to
2740 
2741    Options Database Keys:
2742 .  -ts_max_steps <maxsteps> - Sets maxsteps
2743 .  -ts_final_time <maxtime> - Sets maxtime
2744 
2745    Notes:
2746    The default maximum number of iterations is 5000. Default time is 5.0
2747 
2748    Level: intermediate
2749 
2750 .keywords: TS, timestep, set, maximum, iterations
2751 
2752 .seealso: TSSetExactFinalTime()
2753 @*/
2754 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2755 {
2756   PetscFunctionBegin;
2757   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2758   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2759   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2760   if (maxsteps >= 0) ts->max_steps = maxsteps;
2761   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2762   PetscFunctionReturn(0);
2763 }
2764 
2765 #undef __FUNCT__
2766 #define __FUNCT__ "TSSetSolution"
2767 /*@
2768    TSSetSolution - Sets the initial solution vector
2769    for use by the TS routines.
2770 
2771    Logically Collective on TS and Vec
2772 
2773    Input Parameters:
2774 +  ts - the TS context obtained from TSCreate()
2775 -  u - the solution vector
2776 
2777    Level: beginner
2778 
2779 .keywords: TS, timestep, set, solution, initial conditions
2780 @*/
2781 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2782 {
2783   PetscErrorCode ierr;
2784   DM             dm;
2785 
2786   PetscFunctionBegin;
2787   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2788   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2789   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2790   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2791   ts->vec_sol = u;
2792 
2793   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2794   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2795   PetscFunctionReturn(0);
2796 }
2797 
2798 #undef __FUNCT__
2799 #define __FUNCT__ "TSAdjointSetSteps"
2800 /*@
2801    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2802 
2803    Logically Collective on TS
2804 
2805    Input Parameters:
2806 +  ts - the TS context obtained from TSCreate()
2807 .  steps - number of steps to use
2808 
2809    Level: intermediate
2810 
2811    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2812           so as to integrate back to less than the original timestep
2813 
2814 .keywords: TS, timestep, set, maximum, iterations
2815 
2816 .seealso: TSSetExactFinalTime()
2817 @*/
2818 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2819 {
2820   PetscFunctionBegin;
2821   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2822   PetscValidLogicalCollectiveInt(ts,steps,2);
2823   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2824   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2825   ts->adjoint_max_steps = steps;
2826   PetscFunctionReturn(0);
2827 }
2828 
2829 #undef __FUNCT__
2830 #define __FUNCT__ "TSSetCostGradients"
2831 /*@
2832    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2833       for use by the TSAdjoint routines.
2834 
2835    Logically Collective on TS and Vec
2836 
2837    Input Parameters:
2838 +  ts - the TS context obtained from TSCreate()
2839 .  lambda - gradients with respect to the initial condition variables, the dimension and parallel layout of these vectors is the same as the ODE solution vector
2840 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2841 
2842    Level: beginner
2843 
2844    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2845 
2846 .keywords: TS, timestep, set, sensitivity, initial conditions
2847 @*/
2848 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2849 {
2850   PetscFunctionBegin;
2851   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2852   PetscValidPointer(lambda,2);
2853   ts->vecs_sensi  = lambda;
2854   ts->vecs_sensip = mu;
2855   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostIntegrand");
2856   ts->numcost  = numcost;
2857   PetscFunctionReturn(0);
2858 }
2859 
2860 #undef __FUNCT__
2861 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2862 /*@C
2863   TSAdjointSetRHSJacobian - Sets the function that computes the Jacobian of G w.r.t. the parameters p where y_t = G(y,p,t), as well as the location to store the matrix.
2864 
2865   Logically Collective on TS
2866 
2867   Input Parameters:
2868 + ts   - The TS context obtained from TSCreate()
2869 - func - The function
2870 
2871   Calling sequence of func:
2872 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2873 +   t - current timestep
2874 .   y - input vector (current ODE solution)
2875 .   A - output matrix
2876 -   ctx - [optional] user-defined function context
2877 
2878   Level: intermediate
2879 
2880   Notes: Amat has the same number of rows and the same row parallel layout as u, Amat has the same number of columns and parallel layout as p
2881 
2882 .keywords: TS, sensitivity
2883 .seealso:
2884 @*/
2885 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2886 {
2887   PetscErrorCode ierr;
2888 
2889   PetscFunctionBegin;
2890   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2891   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2892 
2893   ts->rhsjacobianp    = func;
2894   ts->rhsjacobianpctx = ctx;
2895   if(Amat) {
2896     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2897     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2898     ts->Jacp = Amat;
2899   }
2900   PetscFunctionReturn(0);
2901 }
2902 
2903 #undef __FUNCT__
2904 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2905 /*@C
2906   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2907 
2908   Collective on TS
2909 
2910   Input Parameters:
2911 . ts   - The TS context obtained from TSCreate()
2912 
2913   Level: developer
2914 
2915 .keywords: TS, sensitivity
2916 .seealso: TSAdjointSetRHSJacobian()
2917 @*/
2918 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2919 {
2920   PetscErrorCode ierr;
2921 
2922   PetscFunctionBegin;
2923   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2924   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2925   PetscValidPointer(Amat,4);
2926 
2927   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2928   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2929   PetscStackPop;
2930   PetscFunctionReturn(0);
2931 }
2932 
2933 #undef __FUNCT__
2934 #define __FUNCT__ "TSSetCostIntegrand"
2935 /*@C
2936     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2937 
2938     Logically Collective on TS
2939 
2940     Input Parameters:
2941 +   ts - the TS context obtained from TSCreate()
2942 .   numcost - number of gradients to be computed, this is the number of cost functions
2943 .   rf - routine for evaluating the integrand function
2944 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2945 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2946 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
2947 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2948 
2949     Calling sequence of rf:
2950 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2951 
2952 +   t - current timestep
2953 .   y - input vector
2954 .   f - function result; one vector entry for each cost function
2955 -   ctx - [optional] user-defined function context
2956 
2957    Calling sequence of drdyf:
2958 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2959 
2960    Calling sequence of drdpf:
2961 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2962 
2963     Level: intermediate
2964 
2965     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2966 
2967 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2968 
2969 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2970 @*/
2971 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2972                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2973                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
2974                                                           PetscBool fwd,void *ctx)
2975 {
2976   PetscErrorCode ierr;
2977 
2978   PetscFunctionBegin;
2979   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2980   if (ts->numcost && ts->numcost!=numcost) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"The number of cost functions (2rd parameter of TSSetCostIntegrand()) is inconsistent with the one set by TSSetCostGradients()");
2981   if (!ts->numcost) ts->numcost=numcost;
2982 
2983   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
2984   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2985   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2986   ts->costintegrand    = rf;
2987   ts->costintegrandctx = ctx;
2988   ts->drdyfunction     = drdyf;
2989   ts->drdpfunction     = drdpf;
2990   PetscFunctionReturn(0);
2991 }
2992 
2993 #undef __FUNCT__
2994 #define __FUNCT__ "TSGetCostIntegral"
2995 /*@
2996    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
2997    It is valid to call the routine after a backward run.
2998 
2999    Not Collective
3000 
3001    Input Parameter:
3002 .  ts - the TS context obtained from TSCreate()
3003 
3004    Output Parameter:
3005 .  v - the vector containing the integrals for each cost function
3006 
3007    Level: intermediate
3008 
3009 .seealso: TSSetCostIntegrand()
3010 
3011 .keywords: TS, sensitivity analysis
3012 @*/
3013 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3014 {
3015   PetscFunctionBegin;
3016   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3017   PetscValidPointer(v,2);
3018   *v = ts->vec_costintegral;
3019   PetscFunctionReturn(0);
3020 }
3021 
3022 #undef __FUNCT__
3023 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3024 /*@
3025    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3026 
3027    Input Parameters:
3028 +  ts - the TS context
3029 .  t - current time
3030 -  y - state vector, i.e. current solution
3031 
3032    Output Parameter:
3033 .  q - vector of size numcost to hold the outputs
3034 
3035    Note:
3036    Most users should not need to explicitly call this routine, as it
3037    is used internally within the sensitivity analysis context.
3038 
3039    Level: developer
3040 
3041 .keywords: TS, compute
3042 
3043 .seealso: TSSetCostIntegrand()
3044 @*/
3045 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3046 {
3047   PetscErrorCode ierr;
3048 
3049   PetscFunctionBegin;
3050   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3051   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3052   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3053 
3054   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3055   if (ts->costintegrand) {
3056     PetscStackPush("TS user integrand in the cost function");
3057     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3058     PetscStackPop;
3059   } else {
3060     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3061   }
3062 
3063   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3064   PetscFunctionReturn(0);
3065 }
3066 
3067 #undef __FUNCT__
3068 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3069 /*@
3070   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3071 
3072   Collective on TS
3073 
3074   Input Parameters:
3075 . ts   - The TS context obtained from TSCreate()
3076 
3077   Notes:
3078   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3079   so most users would not generally call this routine themselves.
3080 
3081   Level: developer
3082 
3083 .keywords: TS, sensitivity
3084 .seealso: TSAdjointComputeDRDYFunction()
3085 @*/
3086 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3087 {
3088   PetscErrorCode ierr;
3089 
3090   PetscFunctionBegin;
3091   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3092   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3093 
3094   PetscStackPush("TS user DRDY function for sensitivity analysis");
3095   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3096   PetscStackPop;
3097   PetscFunctionReturn(0);
3098 }
3099 
3100 #undef __FUNCT__
3101 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3102 /*@
3103   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3104 
3105   Collective on TS
3106 
3107   Input Parameters:
3108 . ts   - The TS context obtained from TSCreate()
3109 
3110   Notes:
3111   TSDRDPFunction() is typically used for sensitivity implementation,
3112   so most users would not generally call this routine themselves.
3113 
3114   Level: developer
3115 
3116 .keywords: TS, sensitivity
3117 .seealso: TSAdjointSetDRDPFunction()
3118 @*/
3119 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3120 {
3121   PetscErrorCode ierr;
3122 
3123   PetscFunctionBegin;
3124   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3125   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3126 
3127   PetscStackPush("TS user DRDP function for sensitivity analysis");
3128   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3129   PetscStackPop;
3130   PetscFunctionReturn(0);
3131 }
3132 
3133 #undef __FUNCT__
3134 #define __FUNCT__ "TSSetPreStep"
3135 /*@C
3136   TSSetPreStep - Sets the general-purpose function
3137   called once at the beginning of each time step.
3138 
3139   Logically Collective on TS
3140 
3141   Input Parameters:
3142 + ts   - The TS context obtained from TSCreate()
3143 - func - The function
3144 
3145   Calling sequence of func:
3146 . func (TS ts);
3147 
3148   Level: intermediate
3149 
3150   Note:
3151   If a step is rejected, TSStep() will call this routine again before each attempt.
3152   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3153   size of the step being attempted can be obtained using TSGetTimeStep().
3154 
3155 .keywords: TS, timestep
3156 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3157 @*/
3158 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3159 {
3160   PetscFunctionBegin;
3161   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3162   ts->prestep = func;
3163   PetscFunctionReturn(0);
3164 }
3165 
3166 #undef __FUNCT__
3167 #define __FUNCT__ "TSPreStep"
3168 /*@
3169   TSPreStep - Runs the user-defined pre-step function.
3170 
3171   Collective on TS
3172 
3173   Input Parameters:
3174 . ts   - The TS context obtained from TSCreate()
3175 
3176   Notes:
3177   TSPreStep() is typically used within time stepping implementations,
3178   so most users would not generally call this routine themselves.
3179 
3180   Level: developer
3181 
3182 .keywords: TS, timestep
3183 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3184 @*/
3185 PetscErrorCode  TSPreStep(TS ts)
3186 {
3187   PetscErrorCode ierr;
3188 
3189   PetscFunctionBegin;
3190   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3191   if (ts->prestep) {
3192     PetscStackCallStandard((*ts->prestep),(ts));
3193   }
3194   PetscFunctionReturn(0);
3195 }
3196 
3197 #undef __FUNCT__
3198 #define __FUNCT__ "TSSetPreStage"
3199 /*@C
3200   TSSetPreStage - Sets the general-purpose function
3201   called once at the beginning of each stage.
3202 
3203   Logically Collective on TS
3204 
3205   Input Parameters:
3206 + ts   - The TS context obtained from TSCreate()
3207 - func - The function
3208 
3209   Calling sequence of func:
3210 . PetscErrorCode func(TS ts, PetscReal stagetime);
3211 
3212   Level: intermediate
3213 
3214   Note:
3215   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3216   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3217   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3218 
3219 .keywords: TS, timestep
3220 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3221 @*/
3222 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3223 {
3224   PetscFunctionBegin;
3225   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3226   ts->prestage = func;
3227   PetscFunctionReturn(0);
3228 }
3229 
3230 #undef __FUNCT__
3231 #define __FUNCT__ "TSSetPostStage"
3232 /*@C
3233   TSSetPostStage - Sets the general-purpose function
3234   called once at the end of each stage.
3235 
3236   Logically Collective on TS
3237 
3238   Input Parameters:
3239 + ts   - The TS context obtained from TSCreate()
3240 - func - The function
3241 
3242   Calling sequence of func:
3243 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3244 
3245   Level: intermediate
3246 
3247   Note:
3248   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3249   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3250   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3251 
3252 .keywords: TS, timestep
3253 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3254 @*/
3255 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3256 {
3257   PetscFunctionBegin;
3258   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3259   ts->poststage = func;
3260   PetscFunctionReturn(0);
3261 }
3262 
3263 #undef __FUNCT__
3264 #define __FUNCT__ "TSPreStage"
3265 /*@
3266   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3267 
3268   Collective on TS
3269 
3270   Input Parameters:
3271 . ts          - The TS context obtained from TSCreate()
3272   stagetime   - The absolute time of the current stage
3273 
3274   Notes:
3275   TSPreStage() is typically used within time stepping implementations,
3276   most users would not generally call this routine themselves.
3277 
3278   Level: developer
3279 
3280 .keywords: TS, timestep
3281 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3282 @*/
3283 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3284 {
3285   PetscErrorCode ierr;
3286 
3287   PetscFunctionBegin;
3288   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3289   if (ts->prestage) {
3290     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3291   }
3292   PetscFunctionReturn(0);
3293 }
3294 
3295 #undef __FUNCT__
3296 #define __FUNCT__ "TSPostStage"
3297 /*@
3298   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3299 
3300   Collective on TS
3301 
3302   Input Parameters:
3303 . ts          - The TS context obtained from TSCreate()
3304   stagetime   - The absolute time of the current stage
3305   stageindex  - Stage number
3306   Y           - Array of vectors (of size = total number
3307                 of stages) with the stage solutions
3308 
3309   Notes:
3310   TSPostStage() is typically used within time stepping implementations,
3311   most users would not generally call this routine themselves.
3312 
3313   Level: developer
3314 
3315 .keywords: TS, timestep
3316 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3317 @*/
3318 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3319 {
3320   PetscErrorCode ierr;
3321 
3322   PetscFunctionBegin;
3323   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3324   if (ts->poststage) {
3325     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3326   }
3327   PetscFunctionReturn(0);
3328 }
3329 
3330 #undef __FUNCT__
3331 #define __FUNCT__ "TSSetPostStep"
3332 /*@C
3333   TSSetPostStep - Sets the general-purpose function
3334   called once at the end of each time step.
3335 
3336   Logically Collective on TS
3337 
3338   Input Parameters:
3339 + ts   - The TS context obtained from TSCreate()
3340 - func - The function
3341 
3342   Calling sequence of func:
3343 $ func (TS ts);
3344 
3345   Level: intermediate
3346 
3347 .keywords: TS, timestep
3348 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3349 @*/
3350 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3351 {
3352   PetscFunctionBegin;
3353   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3354   ts->poststep = func;
3355   PetscFunctionReturn(0);
3356 }
3357 
3358 #undef __FUNCT__
3359 #define __FUNCT__ "TSPostStep"
3360 /*@
3361   TSPostStep - Runs the user-defined post-step function.
3362 
3363   Collective on TS
3364 
3365   Input Parameters:
3366 . ts   - The TS context obtained from TSCreate()
3367 
3368   Notes:
3369   TSPostStep() is typically used within time stepping implementations,
3370   so most users would not generally call this routine themselves.
3371 
3372   Level: developer
3373 
3374 .keywords: TS, timestep
3375 @*/
3376 PetscErrorCode  TSPostStep(TS ts)
3377 {
3378   PetscErrorCode ierr;
3379 
3380   PetscFunctionBegin;
3381   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3382   if (ts->poststep) {
3383     PetscStackCallStandard((*ts->poststep),(ts));
3384   }
3385   PetscFunctionReturn(0);
3386 }
3387 
3388 /* ------------ Routines to set performance monitoring options ----------- */
3389 
3390 #undef __FUNCT__
3391 #define __FUNCT__ "TSMonitorSet"
3392 /*@C
3393    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3394    timestep to display the iteration's  progress.
3395 
3396    Logically Collective on TS
3397 
3398    Input Parameters:
3399 +  ts - the TS context obtained from TSCreate()
3400 .  monitor - monitoring routine
3401 .  mctx - [optional] user-defined context for private data for the
3402              monitor routine (use NULL if no context is desired)
3403 -  monitordestroy - [optional] routine that frees monitor context
3404           (may be NULL)
3405 
3406    Calling sequence of monitor:
3407 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3408 
3409 +    ts - the TS context
3410 .    steps - iteration number (after the final time step the monitor routine may be called with a step of -1, this indicates the solution has been interpolated to this time)
3411 .    time - current time
3412 .    u - current iterate
3413 -    mctx - [optional] monitoring context
3414 
3415    Notes:
3416    This routine adds an additional monitor to the list of monitors that
3417    already has been loaded.
3418 
3419    Fortran notes: Only a single monitor function can be set for each TS object
3420 
3421    Level: intermediate
3422 
3423 .keywords: TS, timestep, set, monitor
3424 
3425 .seealso: TSMonitorDefault(), TSMonitorCancel()
3426 @*/
3427 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3428 {
3429   PetscErrorCode ierr;
3430   PetscInt       i;
3431   PetscBool      identical;
3432 
3433   PetscFunctionBegin;
3434   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3435   for (i=0; i<ts->numbermonitors;i++) {
3436     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3437     if (identical) PetscFunctionReturn(0);
3438   }
3439   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3440   ts->monitor[ts->numbermonitors]          = monitor;
3441   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3442   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3443   PetscFunctionReturn(0);
3444 }
3445 
3446 #undef __FUNCT__
3447 #define __FUNCT__ "TSMonitorCancel"
3448 /*@C
3449    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3450 
3451    Logically Collective on TS
3452 
3453    Input Parameters:
3454 .  ts - the TS context obtained from TSCreate()
3455 
3456    Notes:
3457    There is no way to remove a single, specific monitor.
3458 
3459    Level: intermediate
3460 
3461 .keywords: TS, timestep, set, monitor
3462 
3463 .seealso: TSMonitorDefault(), TSMonitorSet()
3464 @*/
3465 PetscErrorCode  TSMonitorCancel(TS ts)
3466 {
3467   PetscErrorCode ierr;
3468   PetscInt       i;
3469 
3470   PetscFunctionBegin;
3471   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3472   for (i=0; i<ts->numbermonitors; i++) {
3473     if (ts->monitordestroy[i]) {
3474       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3475     }
3476   }
3477   ts->numbermonitors = 0;
3478   PetscFunctionReturn(0);
3479 }
3480 
3481 #undef __FUNCT__
3482 #define __FUNCT__ "TSMonitorDefault"
3483 /*@C
3484    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3485 
3486    Level: intermediate
3487 
3488 .keywords: TS, set, monitor
3489 
3490 .seealso:  TSMonitorSet()
3491 @*/
3492 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3493 {
3494   PetscErrorCode ierr;
3495   PetscViewer    viewer =  vf->viewer;
3496   PetscBool      iascii,ibinary;
3497 
3498   PetscFunctionBegin;
3499   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3500   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3501   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3502   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3503   if (iascii) {
3504     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3505     if (step == -1){ /* this indicates it is an interpolated solution */
3506       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3507     } else {
3508       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3509     }
3510     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3511   } else if (ibinary) {
3512     PetscMPIInt rank;
3513     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3514     if (!rank) {
3515       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3516     } else {
3517       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3518     }
3519   }
3520   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3521   PetscFunctionReturn(0);
3522 }
3523 
3524 #undef __FUNCT__
3525 #define __FUNCT__ "TSAdjointMonitorSet"
3526 /*@C
3527    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3528    timestep to display the iteration's  progress.
3529 
3530    Logically Collective on TS
3531 
3532    Input Parameters:
3533 +  ts - the TS context obtained from TSCreate()
3534 .  adjointmonitor - monitoring routine
3535 .  adjointmctx - [optional] user-defined context for private data for the
3536              monitor routine (use NULL if no context is desired)
3537 -  adjointmonitordestroy - [optional] routine that frees monitor context
3538           (may be NULL)
3539 
3540    Calling sequence of monitor:
3541 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3542 
3543 +    ts - the TS context
3544 .    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
3545                                been interpolated to)
3546 .    time - current time
3547 .    u - current iterate
3548 .    numcost - number of cost functionos
3549 .    lambda - sensitivities to initial conditions
3550 .    mu - sensitivities to parameters
3551 -    adjointmctx - [optional] adjoint monitoring context
3552 
3553    Notes:
3554    This routine adds an additional monitor to the list of monitors that
3555    already has been loaded.
3556 
3557    Fortran notes: Only a single monitor function can be set for each TS object
3558 
3559    Level: intermediate
3560 
3561 .keywords: TS, timestep, set, adjoint, monitor
3562 
3563 .seealso: TSAdjointMonitorCancel()
3564 @*/
3565 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3566 {
3567   PetscErrorCode ierr;
3568   PetscInt       i;
3569   PetscBool      identical;
3570 
3571   PetscFunctionBegin;
3572   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3573   for (i=0; i<ts->numbermonitors;i++) {
3574     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3575     if (identical) PetscFunctionReturn(0);
3576   }
3577   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3578   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3579   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3580   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3581   PetscFunctionReturn(0);
3582 }
3583 
3584 #undef __FUNCT__
3585 #define __FUNCT__ "TSAdjointMonitorCancel"
3586 /*@C
3587    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3588 
3589    Logically Collective on TS
3590 
3591    Input Parameters:
3592 .  ts - the TS context obtained from TSCreate()
3593 
3594    Notes:
3595    There is no way to remove a single, specific monitor.
3596 
3597    Level: intermediate
3598 
3599 .keywords: TS, timestep, set, adjoint, monitor
3600 
3601 .seealso: TSAdjointMonitorSet()
3602 @*/
3603 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3604 {
3605   PetscErrorCode ierr;
3606   PetscInt       i;
3607 
3608   PetscFunctionBegin;
3609   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3610   for (i=0; i<ts->numberadjointmonitors; i++) {
3611     if (ts->adjointmonitordestroy[i]) {
3612       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3613     }
3614   }
3615   ts->numberadjointmonitors = 0;
3616   PetscFunctionReturn(0);
3617 }
3618 
3619 #undef __FUNCT__
3620 #define __FUNCT__ "TSAdjointMonitorDefault"
3621 /*@C
3622    TSAdjointMonitorDefault - the default monitor of adjoint computations
3623 
3624    Level: intermediate
3625 
3626 .keywords: TS, set, monitor
3627 
3628 .seealso: TSAdjointMonitorSet()
3629 @*/
3630 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3631 {
3632   PetscErrorCode ierr;
3633   PetscViewer    viewer = vf->viewer;
3634 
3635   PetscFunctionBegin;
3636   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3637   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3638   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3639   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3640   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3641   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3642   PetscFunctionReturn(0);
3643 }
3644 
3645 #undef __FUNCT__
3646 #define __FUNCT__ "TSInterpolate"
3647 /*@
3648    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3649 
3650    Collective on TS
3651 
3652    Input Argument:
3653 +  ts - time stepping context
3654 -  t - time to interpolate to
3655 
3656    Output Argument:
3657 .  U - state at given time
3658 
3659    Level: intermediate
3660 
3661    Developer Notes:
3662    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3663 
3664 .keywords: TS, set
3665 
3666 .seealso: TSSetExactFinalTime(), TSSolve()
3667 @*/
3668 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3669 {
3670   PetscErrorCode ierr;
3671 
3672   PetscFunctionBegin;
3673   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3674   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3675   if (t < ts->ptime_prev || t > ts->ptime) SETERRQ3(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Requested time %g not in last time steps [%g,%g]",t,(double)ts->ptime_prev,(double)ts->ptime);
3676   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3677   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3678   PetscFunctionReturn(0);
3679 }
3680 
3681 #undef __FUNCT__
3682 #define __FUNCT__ "TSStep"
3683 /*@
3684    TSStep - Steps one time step
3685 
3686    Collective on TS
3687 
3688    Input Parameter:
3689 .  ts - the TS context obtained from TSCreate()
3690 
3691    Level: developer
3692 
3693    Notes:
3694    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3695 
3696    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3697    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3698 
3699    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3700    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3701 
3702 .keywords: TS, timestep, solve
3703 
3704 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3705 @*/
3706 PetscErrorCode  TSStep(TS ts)
3707 {
3708   PetscErrorCode   ierr;
3709   static PetscBool cite = PETSC_FALSE;
3710   PetscReal        ptime;
3711 
3712   PetscFunctionBegin;
3713   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3714   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3715                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3716                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3717                                 "  type        = {Preprint},\n"
3718                                 "  number      = {ANL/MCS-P5061-0114},\n"
3719                                 "  institution = {Argonne National Laboratory},\n"
3720                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3721 
3722   ierr = TSSetUp(ts);CHKERRQ(ierr);
3723   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3724 
3725   if (ts->exact_final_time == TS_EXACTFINALTIME_UNSPECIFIED) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"You must call TSSetExactFinalTime() or use -ts_exact_final_time <stepover,interpolate,matchstep> before calling TSStep()");
3726   if (ts->exact_final_time == TS_EXACTFINALTIME_MATCHSTEP && !ts->adapt) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Since TS is not adaptive you cannot use TS_EXACTFINALTIME_MATCHSTEP, suggest TS_EXACTFINALTIME_INTERPOLATE");
3727 
3728   if (!ts->steps) ts->ptime_prev = ts->ptime;
3729   ts->reason = TS_CONVERGED_ITERATING;
3730   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3731   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3732   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3733   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3734   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3735   ts->ptime_prev = ptime;
3736   ts->steps++; ts->total_steps++;
3737   ts->steprollback = PETSC_FALSE;
3738   ts->steprestart  = PETSC_FALSE;
3739 
3740   if (ts->reason < 0) {
3741     if (ts->errorifstepfailed) {
3742       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) 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]);
3743       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3744     }
3745   } else if (!ts->reason) {
3746     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3747     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3748   }
3749   PetscFunctionReturn(0);
3750 }
3751 
3752 #undef __FUNCT__
3753 #define __FUNCT__ "TSAdjointStep"
3754 /*@
3755    TSAdjointStep - Steps one time step backward in the adjoint run
3756 
3757    Collective on TS
3758 
3759    Input Parameter:
3760 .  ts - the TS context obtained from TSCreate()
3761 
3762    Level: intermediate
3763 
3764 .keywords: TS, adjoint, step
3765 
3766 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3767 @*/
3768 PetscErrorCode  TSAdjointStep(TS ts)
3769 {
3770   DM               dm;
3771   PetscErrorCode   ierr;
3772 
3773   PetscFunctionBegin;
3774   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3775   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3776   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3777 
3778   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3779 
3780   ts->reason = TS_CONVERGED_ITERATING;
3781   ts->ptime_prev = ts->ptime;
3782   if (!ts->ops->adjointstep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed because the adjoint of  %s has not been implemented, try other time stepping methods for adjoint sensitivity analysis",((PetscObject)ts)->type_name);
3783   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3784   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3785   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3786   ts->steps++; ts->total_steps--;
3787 
3788   if (ts->reason < 0) {
3789     if (ts->errorifstepfailed) {
3790       if (ts->reason == TS_DIVERGED_NONLINEAR_SOLVE) 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]);
3791       else if (ts->reason == TS_DIVERGED_STEP_REJECTED) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s, increase -ts_max_reject or make negative to attempt recovery",TSConvergedReasons[ts->reason]);
3792       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3793     }
3794   } else if (!ts->reason) {
3795     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3796   }
3797   PetscFunctionReturn(0);
3798 }
3799 
3800 #undef __FUNCT__
3801 #define __FUNCT__ "TSEvaluateWLTE"
3802 /*@
3803    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3804    at the end of a time step with a given order of accuracy.
3805 
3806    Collective on TS
3807 
3808    Input Arguments:
3809 +  ts - time stepping context
3810 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3811 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3812 
3813    Output Arguments:
3814 +  order - optional, the actual order of the error evaluation
3815 -  wlte - the weighted local truncation error norm
3816 
3817    Level: advanced
3818 
3819    Notes:
3820    If the timestepper cannot evaluate the error in a particular step
3821    (eg. in the first step or restart steps after event handling),
3822    this routine returns wlte=-1.0 .
3823 
3824 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3825 @*/
3826 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3827 {
3828   PetscErrorCode ierr;
3829 
3830   PetscFunctionBegin;
3831   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3832   PetscValidType(ts,1);
3833   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3834   if (order) PetscValidIntPointer(order,3);
3835   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3836   PetscValidRealPointer(wlte,4);
3837   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3838   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3839   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3840   PetscFunctionReturn(0);
3841 }
3842 
3843 #undef __FUNCT__
3844 #define __FUNCT__ "TSEvaluateStep"
3845 /*@
3846    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3847 
3848    Collective on TS
3849 
3850    Input Arguments:
3851 +  ts - time stepping context
3852 .  order - desired order of accuracy
3853 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3854 
3855    Output Arguments:
3856 .  U - state at the end of the current step
3857 
3858    Level: advanced
3859 
3860    Notes:
3861    This function cannot be called until all stages have been evaluated.
3862    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.
3863 
3864 .seealso: TSStep(), TSAdapt
3865 @*/
3866 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3867 {
3868   PetscErrorCode ierr;
3869 
3870   PetscFunctionBegin;
3871   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3872   PetscValidType(ts,1);
3873   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3874   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3875   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3876   PetscFunctionReturn(0);
3877 }
3878 
3879 #undef __FUNCT__
3880 #define __FUNCT__ "TSForwardCostIntegral"
3881 /*@
3882  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3883 
3884  Collective on TS
3885 
3886  Input Arguments:
3887  .  ts - time stepping context
3888 
3889  Level: advanced
3890 
3891  Notes:
3892  This function cannot be called until TSStep() has been completed.
3893 
3894  .seealso: TSSolve(), TSAdjointCostIntegral()
3895  @*/
3896 PetscErrorCode TSForwardCostIntegral(TS ts)
3897 {
3898     PetscErrorCode ierr;
3899     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3900     if (!ts->ops->forwardintegral) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide integral evaluation in the forward run",((PetscObject)ts)->type_name);
3901     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3902     PetscFunctionReturn(0);
3903 }
3904 
3905 #undef __FUNCT__
3906 #define __FUNCT__ "TSSolve"
3907 /*@
3908    TSSolve - Steps the requested number of timesteps.
3909 
3910    Collective on TS
3911 
3912    Input Parameter:
3913 +  ts - the TS context obtained from TSCreate()
3914 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
3915                              otherwise must contain the initial conditions and will contain the solution at the final requested time
3916 
3917    Level: beginner
3918 
3919    Notes:
3920    The final time returned by this function may be different from the time of the internally
3921    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3922    stepped over the final time.
3923 
3924 .keywords: TS, timestep, solve
3925 
3926 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
3927 @*/
3928 PetscErrorCode TSSolve(TS ts,Vec u)
3929 {
3930   Vec               solution;
3931   PetscErrorCode    ierr;
3932 
3933   PetscFunctionBegin;
3934   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3935   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3936 
3937   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 */
3938     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3939     if (!ts->vec_sol || u == ts->vec_sol) {
3940       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3941       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3942       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3943     }
3944     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3945   } else if (u) {
3946     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3947   }
3948   ierr = TSSetUp(ts);CHKERRQ(ierr);
3949   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3950 
3951   if (ts->exact_final_time == TS_EXACTFINALTIME_UNSPECIFIED) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"You must call TSSetExactFinalTime() or use -ts_exact_final_time <stepover,interpolate,matchstep> before calling TSSolve()");
3952   if (ts->exact_final_time == TS_EXACTFINALTIME_MATCHSTEP && !ts->adapt) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Since TS is not adaptive you cannot use TS_EXACTFINALTIME_MATCHSTEP, suggest TS_EXACTFINALTIME_INTERPOLATE");
3953 
3954   /* reset time step and iteration counters */
3955   ts->steps             = 0;
3956   ts->ksp_its           = 0;
3957   ts->snes_its          = 0;
3958   ts->num_snes_failures = 0;
3959   ts->reject            = 0;
3960   ts->reason            = TS_CONVERGED_ITERATING;
3961 
3962   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3963 
3964   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
3965     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3966     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3967     ts->solvetime = ts->ptime;
3968     solution = ts->vec_sol;
3969   } else { /* Step the requested number of timesteps. */
3970     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3971     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3972     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3973     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3974     ts->steprollback = PETSC_FALSE;
3975     ts->steprestart  = PETSC_TRUE;
3976 
3977     while (!ts->reason) {
3978       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3979       if (!ts->steprollback) {
3980         ierr = TSPreStep(ts);CHKERRQ(ierr);
3981       }
3982       ierr = TSStep(ts);CHKERRQ(ierr);
3983       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
3984         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
3985       }
3986       ierr = TSEventHandler(ts);CHKERRQ(ierr); /* The right-hand side may be changed due to event. Be careful with Any computation using the RHS information after this point. */
3987       if (!ts->steprollback) {
3988         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3989         ierr = TSPostStep(ts);CHKERRQ(ierr);
3990       }
3991     }
3992     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3993 
3994     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3995       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3996       ts->solvetime = ts->max_time;
3997       solution = u;
3998       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
3999     } else {
4000       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4001       ts->solvetime = ts->ptime;
4002       solution = ts->vec_sol;
4003     }
4004   }
4005 
4006   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4007   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4008   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4009   if (ts->adjoint_solve) {
4010     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4011   }
4012   PetscFunctionReturn(0);
4013 }
4014 
4015 #undef __FUNCT__
4016 #define __FUNCT__ "TSAdjointCostIntegral"
4017 /*@
4018  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4019 
4020  Collective on TS
4021 
4022  Input Arguments:
4023  .  ts - time stepping context
4024 
4025  Level: advanced
4026 
4027  Notes:
4028  This function cannot be called until TSAdjointStep() has been completed.
4029 
4030  .seealso: TSAdjointSolve(), TSAdjointStep
4031  @*/
4032 PetscErrorCode TSAdjointCostIntegral(TS ts)
4033 {
4034     PetscErrorCode ierr;
4035     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4036     if (!ts->ops->adjointintegral) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide integral evaluation in the adjoint run",((PetscObject)ts)->type_name);
4037     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4038     PetscFunctionReturn(0);
4039 }
4040 
4041 #undef __FUNCT__
4042 #define __FUNCT__ "TSAdjointSolve"
4043 /*@
4044    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4045 
4046    Collective on TS
4047 
4048    Input Parameter:
4049 .  ts - the TS context obtained from TSCreate()
4050 
4051    Options Database:
4052 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4053 
4054    Level: intermediate
4055 
4056    Notes:
4057    This must be called after a call to TSSolve() that solves the forward problem
4058 
4059    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4060 
4061 .keywords: TS, timestep, solve
4062 
4063 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4064 @*/
4065 PetscErrorCode TSAdjointSolve(TS ts)
4066 {
4067   PetscErrorCode    ierr;
4068 
4069   PetscFunctionBegin;
4070   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4071   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4072 
4073   /* reset time step and iteration counters */
4074   ts->steps             = 0;
4075   ts->ksp_its           = 0;
4076   ts->snes_its          = 0;
4077   ts->num_snes_failures = 0;
4078   ts->reject            = 0;
4079   ts->reason            = TS_CONVERGED_ITERATING;
4080 
4081   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4082 
4083   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4084   while (!ts->reason) {
4085     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4086     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4087     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4088     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4089     if (ts->vec_costintegral && !ts->costintegralfwd) {
4090       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4091     }
4092   }
4093   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4094   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4095   ts->solvetime = ts->ptime;
4096   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4097   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4098   PetscFunctionReturn(0);
4099 }
4100 
4101 #undef __FUNCT__
4102 #define __FUNCT__ "TSMonitor"
4103 /*@C
4104    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4105 
4106    Collective on TS
4107 
4108    Input Parameters:
4109 +  ts - time stepping context obtained from TSCreate()
4110 .  step - step number that has just completed
4111 .  ptime - model time of the state
4112 -  u - state at the current model time
4113 
4114    Notes:
4115    TSMonitor() is typically used automatically within the time stepping implementations.
4116    Users would almost never call this routine directly.
4117 
4118    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4119 
4120    Level: developer
4121 
4122 .keywords: TS, timestep
4123 @*/
4124 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4125 {
4126   DM             dm;
4127   PetscInt       i,n = ts->numbermonitors;
4128   PetscErrorCode ierr;
4129 
4130   PetscFunctionBegin;
4131   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4132   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4133 
4134   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4135   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4136 
4137   ierr = VecLockPush(u);CHKERRQ(ierr);
4138   for (i=0; i<n; i++) {
4139     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4140   }
4141   ierr = VecLockPop(u);CHKERRQ(ierr);
4142   PetscFunctionReturn(0);
4143 }
4144 
4145 #undef __FUNCT__
4146 #define __FUNCT__ "TSAdjointMonitor"
4147 /*@C
4148    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4149 
4150    Collective on TS
4151 
4152    Input Parameters:
4153 +  ts - time stepping context obtained from TSCreate()
4154 .  step - step number that has just completed
4155 .  ptime - model time of the state
4156 .  u - state at the current model time
4157 .  numcost - number of cost functions (dimension of lambda  or mu)
4158 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4159 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4160 
4161    Notes:
4162    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4163    Users would almost never call this routine directly.
4164 
4165    Level: developer
4166 
4167 .keywords: TS, timestep
4168 @*/
4169 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4170 {
4171   PetscErrorCode ierr;
4172   PetscInt       i,n = ts->numberadjointmonitors;
4173 
4174   PetscFunctionBegin;
4175   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4176   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4177   ierr = VecLockPush(u);CHKERRQ(ierr);
4178   for (i=0; i<n; i++) {
4179     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4180   }
4181   ierr = VecLockPop(u);CHKERRQ(ierr);
4182   PetscFunctionReturn(0);
4183 }
4184 
4185 /* ------------------------------------------------------------------------*/
4186 #undef __FUNCT__
4187 #define __FUNCT__ "TSMonitorLGCtxCreate"
4188 /*@C
4189    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4190    TS to monitor the solution process graphically in various ways
4191 
4192    Collective on TS
4193 
4194    Input Parameters:
4195 +  host - the X display to open, or null for the local machine
4196 .  label - the title to put in the title bar
4197 .  x, y - the screen coordinates of the upper left coordinate of the window
4198 .  m, n - the screen width and height in pixels
4199 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4200 
4201    Output Parameter:
4202 .  ctx - the context
4203 
4204    Options Database Key:
4205 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4206 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4207 .  -ts_monitor_lg_error -  monitor the error
4208 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4209 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4210 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4211 
4212    Notes:
4213    Use TSMonitorLGCtxDestroy() to destroy.
4214 
4215    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4216 
4217    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4218    first argument (if that TS object does not have a TSMonitorLGCtx associated with it the function call is ignored) and the second takes a TSMonitorLGCtx object
4219    as the first argument.
4220 
4221    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4222 
4223 
4224    Level: intermediate
4225 
4226 .keywords: TS, monitor, line graph, residual
4227 
4228 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4229            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4230            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4231            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4232            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4233 
4234 @*/
4235 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4236 {
4237   PetscDraw      draw;
4238   PetscErrorCode ierr;
4239 
4240   PetscFunctionBegin;
4241   ierr = PetscNew(ctx);CHKERRQ(ierr);
4242   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4243   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4244   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4245   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4246   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4247   (*ctx)->howoften = howoften;
4248   PetscFunctionReturn(0);
4249 }
4250 
4251 #undef __FUNCT__
4252 #define __FUNCT__ "TSMonitorLGTimeStep"
4253 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4254 {
4255   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4256   PetscReal      x   = ptime,y;
4257   PetscErrorCode ierr;
4258 
4259   PetscFunctionBegin;
4260   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4261   if (!step) {
4262     PetscDrawAxis axis;
4263     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4264     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4265     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4266   }
4267   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4268   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4269   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4270     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4271     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4272   }
4273   PetscFunctionReturn(0);
4274 }
4275 
4276 #undef __FUNCT__
4277 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4278 /*@C
4279    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4280    with TSMonitorLGCtxCreate().
4281 
4282    Collective on TSMonitorLGCtx
4283 
4284    Input Parameter:
4285 .  ctx - the monitor context
4286 
4287    Level: intermediate
4288 
4289 .keywords: TS, monitor, line graph, destroy
4290 
4291 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4292 @*/
4293 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4294 {
4295   PetscErrorCode ierr;
4296 
4297   PetscFunctionBegin;
4298   if ((*ctx)->transformdestroy) {
4299     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4300   }
4301   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4302   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4303   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4304   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4305   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4306   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4307   PetscFunctionReturn(0);
4308 }
4309 
4310 #undef __FUNCT__
4311 #define __FUNCT__ "TSGetTime"
4312 /*@
4313    TSGetTime - Gets the time of the most recently completed step.
4314 
4315    Not Collective
4316 
4317    Input Parameter:
4318 .  ts - the TS context obtained from TSCreate()
4319 
4320    Output Parameter:
4321 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4322 
4323    Level: beginner
4324 
4325    Note:
4326    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4327    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4328 
4329 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4330 
4331 .keywords: TS, get, time
4332 @*/
4333 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4334 {
4335   PetscFunctionBegin;
4336   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4337   PetscValidRealPointer(t,2);
4338   *t = ts->ptime;
4339   PetscFunctionReturn(0);
4340 }
4341 
4342 #undef __FUNCT__
4343 #define __FUNCT__ "TSGetPrevTime"
4344 /*@
4345    TSGetPrevTime - Gets the starting time of the previously completed step.
4346 
4347    Not Collective
4348 
4349    Input Parameter:
4350 .  ts - the TS context obtained from TSCreate()
4351 
4352    Output Parameter:
4353 .  t  - the previous time
4354 
4355    Level: beginner
4356 
4357 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4358 
4359 .keywords: TS, get, time
4360 @*/
4361 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4362 {
4363   PetscFunctionBegin;
4364   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4365   PetscValidRealPointer(t,2);
4366   *t = ts->ptime_prev;
4367   PetscFunctionReturn(0);
4368 }
4369 
4370 #undef __FUNCT__
4371 #define __FUNCT__ "TSSetTime"
4372 /*@
4373    TSSetTime - Allows one to reset the time.
4374 
4375    Logically Collective on TS
4376 
4377    Input Parameters:
4378 +  ts - the TS context obtained from TSCreate()
4379 -  time - the time
4380 
4381    Level: intermediate
4382 
4383 .seealso: TSGetTime(), TSSetDuration()
4384 
4385 .keywords: TS, set, time
4386 @*/
4387 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4388 {
4389   PetscFunctionBegin;
4390   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4391   PetscValidLogicalCollectiveReal(ts,t,2);
4392   ts->ptime = t;
4393   PetscFunctionReturn(0);
4394 }
4395 
4396 #undef __FUNCT__
4397 #define __FUNCT__ "TSSetOptionsPrefix"
4398 /*@C
4399    TSSetOptionsPrefix - Sets the prefix used for searching for all
4400    TS options in the database.
4401 
4402    Logically Collective on TS
4403 
4404    Input Parameter:
4405 +  ts     - The TS context
4406 -  prefix - The prefix to prepend to all option names
4407 
4408    Notes:
4409    A hyphen (-) must NOT be given at the beginning of the prefix name.
4410    The first character of all runtime options is AUTOMATICALLY the
4411    hyphen.
4412 
4413    Level: advanced
4414 
4415 .keywords: TS, set, options, prefix, database
4416 
4417 .seealso: TSSetFromOptions()
4418 
4419 @*/
4420 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4421 {
4422   PetscErrorCode ierr;
4423   SNES           snes;
4424 
4425   PetscFunctionBegin;
4426   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4427   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4428   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4429   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4430   PetscFunctionReturn(0);
4431 }
4432 
4433 
4434 #undef __FUNCT__
4435 #define __FUNCT__ "TSAppendOptionsPrefix"
4436 /*@C
4437    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4438    TS options in the database.
4439 
4440    Logically Collective on TS
4441 
4442    Input Parameter:
4443 +  ts     - The TS context
4444 -  prefix - The prefix to prepend to all option names
4445 
4446    Notes:
4447    A hyphen (-) must NOT be given at the beginning of the prefix name.
4448    The first character of all runtime options is AUTOMATICALLY the
4449    hyphen.
4450 
4451    Level: advanced
4452 
4453 .keywords: TS, append, options, prefix, database
4454 
4455 .seealso: TSGetOptionsPrefix()
4456 
4457 @*/
4458 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4459 {
4460   PetscErrorCode ierr;
4461   SNES           snes;
4462 
4463   PetscFunctionBegin;
4464   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4465   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4466   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4467   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4468   PetscFunctionReturn(0);
4469 }
4470 
4471 #undef __FUNCT__
4472 #define __FUNCT__ "TSGetOptionsPrefix"
4473 /*@C
4474    TSGetOptionsPrefix - Sets the prefix used for searching for all
4475    TS options in the database.
4476 
4477    Not Collective
4478 
4479    Input Parameter:
4480 .  ts - The TS context
4481 
4482    Output Parameter:
4483 .  prefix - A pointer to the prefix string used
4484 
4485    Notes: On the fortran side, the user should pass in a string 'prifix' of
4486    sufficient length to hold the prefix.
4487 
4488    Level: intermediate
4489 
4490 .keywords: TS, get, options, prefix, database
4491 
4492 .seealso: TSAppendOptionsPrefix()
4493 @*/
4494 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4495 {
4496   PetscErrorCode ierr;
4497 
4498   PetscFunctionBegin;
4499   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4500   PetscValidPointer(prefix,2);
4501   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4502   PetscFunctionReturn(0);
4503 }
4504 
4505 #undef __FUNCT__
4506 #define __FUNCT__ "TSGetRHSJacobian"
4507 /*@C
4508    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4509 
4510    Not Collective, but parallel objects are returned if TS is parallel
4511 
4512    Input Parameter:
4513 .  ts  - The TS context obtained from TSCreate()
4514 
4515    Output Parameters:
4516 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4517 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4518 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4519 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4520 
4521    Notes: You can pass in NULL for any return argument you do not need.
4522 
4523    Level: intermediate
4524 
4525 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4526 
4527 .keywords: TS, timestep, get, matrix, Jacobian
4528 @*/
4529 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4530 {
4531   PetscErrorCode ierr;
4532   SNES           snes;
4533   DM             dm;
4534 
4535   PetscFunctionBegin;
4536   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4537   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4538   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4539   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4540   PetscFunctionReturn(0);
4541 }
4542 
4543 #undef __FUNCT__
4544 #define __FUNCT__ "TSGetIJacobian"
4545 /*@C
4546    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4547 
4548    Not Collective, but parallel objects are returned if TS is parallel
4549 
4550    Input Parameter:
4551 .  ts  - The TS context obtained from TSCreate()
4552 
4553    Output Parameters:
4554 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4555 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4556 .  f   - The function to compute the matrices
4557 - ctx - User-defined context for Jacobian evaluation routine
4558 
4559    Notes: You can pass in NULL for any return argument you do not need.
4560 
4561    Level: advanced
4562 
4563 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4564 
4565 .keywords: TS, timestep, get, matrix, Jacobian
4566 @*/
4567 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4568 {
4569   PetscErrorCode ierr;
4570   SNES           snes;
4571   DM             dm;
4572 
4573   PetscFunctionBegin;
4574   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4575   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4576   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4577   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4578   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4579   PetscFunctionReturn(0);
4580 }
4581 
4582 
4583 #undef __FUNCT__
4584 #define __FUNCT__ "TSMonitorDrawSolution"
4585 /*@C
4586    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4587    VecView() for the solution at each timestep
4588 
4589    Collective on TS
4590 
4591    Input Parameters:
4592 +  ts - the TS context
4593 .  step - current time-step
4594 .  ptime - current time
4595 -  dummy - either a viewer or NULL
4596 
4597    Options Database:
4598 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4599 
4600    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4601        will look bad
4602 
4603    Level: intermediate
4604 
4605 .keywords: TS,  vector, monitor, view
4606 
4607 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4608 @*/
4609 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4610 {
4611   PetscErrorCode   ierr;
4612   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4613   PetscDraw        draw;
4614 
4615   PetscFunctionBegin;
4616   if (!step && ictx->showinitial) {
4617     if (!ictx->initialsolution) {
4618       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4619     }
4620     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4621   }
4622   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4623 
4624   if (ictx->showinitial) {
4625     PetscReal pause;
4626     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4627     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4628     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4629     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4630     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4631   }
4632   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4633   if (ictx->showtimestepandtime) {
4634     PetscReal xl,yl,xr,yr,h;
4635     char      time[32];
4636 
4637     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4638     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4639     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4640     h    = yl + .95*(yr - yl);
4641     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4642     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4643   }
4644 
4645   if (ictx->showinitial) {
4646     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4647   }
4648   PetscFunctionReturn(0);
4649 }
4650 
4651 #undef __FUNCT__
4652 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4653 /*@C
4654    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4655    VecView() for the sensitivities to initial states at each timestep
4656 
4657    Collective on TS
4658 
4659    Input Parameters:
4660 +  ts - the TS context
4661 .  step - current time-step
4662 .  ptime - current time
4663 .  u - current state
4664 .  numcost - number of cost functions
4665 .  lambda - sensitivities to initial conditions
4666 .  mu - sensitivities to parameters
4667 -  dummy - either a viewer or NULL
4668 
4669    Level: intermediate
4670 
4671 .keywords: TS,  vector, adjoint, monitor, view
4672 
4673 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4674 @*/
4675 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4676 {
4677   PetscErrorCode   ierr;
4678   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4679   PetscDraw        draw;
4680   PetscReal        xl,yl,xr,yr,h;
4681   char             time[32];
4682 
4683   PetscFunctionBegin;
4684   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4685 
4686   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4687   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4688   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4689   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4690   h    = yl + .95*(yr - yl);
4691   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4692   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4693   PetscFunctionReturn(0);
4694 }
4695 
4696 #undef __FUNCT__
4697 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4698 /*@C
4699    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4700 
4701    Collective on TS
4702 
4703    Input Parameters:
4704 +  ts - the TS context
4705 .  step - current time-step
4706 .  ptime - current time
4707 -  dummy - either a viewer or NULL
4708 
4709    Level: intermediate
4710 
4711 .keywords: TS,  vector, monitor, view
4712 
4713 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4714 @*/
4715 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4716 {
4717   PetscErrorCode    ierr;
4718   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4719   PetscDraw         draw;
4720   PetscDrawAxis     axis;
4721   PetscInt          n;
4722   PetscMPIInt       size;
4723   PetscReal         U0,U1,xl,yl,xr,yr,h;
4724   char              time[32];
4725   const PetscScalar *U;
4726 
4727   PetscFunctionBegin;
4728   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4729   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4730   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4731   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4732 
4733   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4734   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4735   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4736   if (!step) {
4737     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4738     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4739   }
4740 
4741   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4742   U0 = PetscRealPart(U[0]);
4743   U1 = PetscRealPart(U[1]);
4744   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4745   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4746 
4747   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4748   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4749   if (ictx->showtimestepandtime) {
4750     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4751     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4752     h    = yl + .95*(yr - yl);
4753     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4754   }
4755   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4756   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4757   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4758   PetscFunctionReturn(0);
4759 }
4760 
4761 
4762 #undef __FUNCT__
4763 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4764 /*@C
4765    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4766 
4767    Collective on TS
4768 
4769    Input Parameters:
4770 .    ctx - the monitor context
4771 
4772    Level: intermediate
4773 
4774 .keywords: TS,  vector, monitor, view
4775 
4776 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4777 @*/
4778 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4779 {
4780   PetscErrorCode ierr;
4781 
4782   PetscFunctionBegin;
4783   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4784   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4785   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4786   PetscFunctionReturn(0);
4787 }
4788 
4789 #undef __FUNCT__
4790 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4791 /*@C
4792    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4793 
4794    Collective on TS
4795 
4796    Input Parameter:
4797 .    ts - time-step context
4798 
4799    Output Patameter:
4800 .    ctx - the monitor context
4801 
4802    Options Database:
4803 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4804 
4805    Level: intermediate
4806 
4807 .keywords: TS,  vector, monitor, view
4808 
4809 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4810 @*/
4811 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4812 {
4813   PetscErrorCode   ierr;
4814 
4815   PetscFunctionBegin;
4816   ierr = PetscNew(ctx);CHKERRQ(ierr);
4817   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4818   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4819 
4820   (*ctx)->howoften    = howoften;
4821   (*ctx)->showinitial = PETSC_FALSE;
4822   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4823 
4824   (*ctx)->showtimestepandtime = PETSC_FALSE;
4825   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4826   PetscFunctionReturn(0);
4827 }
4828 
4829 #undef __FUNCT__
4830 #define __FUNCT__ "TSMonitorDrawError"
4831 /*@C
4832    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4833    VecView() for the error at each timestep
4834 
4835    Collective on TS
4836 
4837    Input Parameters:
4838 +  ts - the TS context
4839 .  step - current time-step
4840 .  ptime - current time
4841 -  dummy - either a viewer or NULL
4842 
4843    Level: intermediate
4844 
4845 .keywords: TS,  vector, monitor, view
4846 
4847 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4848 @*/
4849 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4850 {
4851   PetscErrorCode   ierr;
4852   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4853   PetscViewer      viewer = ctx->viewer;
4854   Vec              work;
4855 
4856   PetscFunctionBegin;
4857   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4858   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4859   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4860   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4861   ierr = VecView(work,viewer);CHKERRQ(ierr);
4862   ierr = VecDestroy(&work);CHKERRQ(ierr);
4863   PetscFunctionReturn(0);
4864 }
4865 
4866 #include <petsc/private/dmimpl.h>
4867 #undef __FUNCT__
4868 #define __FUNCT__ "TSSetDM"
4869 /*@
4870    TSSetDM - Sets the DM that may be used by some preconditioners
4871 
4872    Logically Collective on TS and DM
4873 
4874    Input Parameters:
4875 +  ts - the preconditioner context
4876 -  dm - the dm
4877 
4878    Level: intermediate
4879 
4880 
4881 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4882 @*/
4883 PetscErrorCode  TSSetDM(TS ts,DM dm)
4884 {
4885   PetscErrorCode ierr;
4886   SNES           snes;
4887   DMTS           tsdm;
4888 
4889   PetscFunctionBegin;
4890   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4891   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4892   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4893     if (ts->dm->dmts && !dm->dmts) {
4894       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4895       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4896       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4897         tsdm->originaldm = dm;
4898       }
4899     }
4900     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4901   }
4902   ts->dm = dm;
4903 
4904   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4905   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4906   PetscFunctionReturn(0);
4907 }
4908 
4909 #undef __FUNCT__
4910 #define __FUNCT__ "TSGetDM"
4911 /*@
4912    TSGetDM - Gets the DM that may be used by some preconditioners
4913 
4914    Not Collective
4915 
4916    Input Parameter:
4917 . ts - the preconditioner context
4918 
4919    Output Parameter:
4920 .  dm - the dm
4921 
4922    Level: intermediate
4923 
4924 
4925 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4926 @*/
4927 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4928 {
4929   PetscErrorCode ierr;
4930 
4931   PetscFunctionBegin;
4932   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4933   if (!ts->dm) {
4934     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4935     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4936   }
4937   *dm = ts->dm;
4938   PetscFunctionReturn(0);
4939 }
4940 
4941 #undef __FUNCT__
4942 #define __FUNCT__ "SNESTSFormFunction"
4943 /*@
4944    SNESTSFormFunction - Function to evaluate nonlinear residual
4945 
4946    Logically Collective on SNES
4947 
4948    Input Parameter:
4949 + snes - nonlinear solver
4950 . U - the current state at which to evaluate the residual
4951 - ctx - user context, must be a TS
4952 
4953    Output Parameter:
4954 . F - the nonlinear residual
4955 
4956    Notes:
4957    This function is not normally called by users and is automatically registered with the SNES used by TS.
4958    It is most frequently passed to MatFDColoringSetFunction().
4959 
4960    Level: advanced
4961 
4962 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4963 @*/
4964 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4965 {
4966   TS             ts = (TS)ctx;
4967   PetscErrorCode ierr;
4968 
4969   PetscFunctionBegin;
4970   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4971   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4972   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4973   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4974   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4975   PetscFunctionReturn(0);
4976 }
4977 
4978 #undef __FUNCT__
4979 #define __FUNCT__ "SNESTSFormJacobian"
4980 /*@
4981    SNESTSFormJacobian - Function to evaluate the Jacobian
4982 
4983    Collective on SNES
4984 
4985    Input Parameter:
4986 + snes - nonlinear solver
4987 . U - the current state at which to evaluate the residual
4988 - ctx - user context, must be a TS
4989 
4990    Output Parameter:
4991 + A - the Jacobian
4992 . B - the preconditioning matrix (may be the same as A)
4993 - flag - indicates any structure change in the matrix
4994 
4995    Notes:
4996    This function is not normally called by users and is automatically registered with the SNES used by TS.
4997 
4998    Level: developer
4999 
5000 .seealso: SNESSetJacobian()
5001 @*/
5002 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5003 {
5004   TS             ts = (TS)ctx;
5005   PetscErrorCode ierr;
5006 
5007   PetscFunctionBegin;
5008   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5009   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5010   PetscValidPointer(A,3);
5011   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5012   PetscValidPointer(B,4);
5013   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5014   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5015   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5016   PetscFunctionReturn(0);
5017 }
5018 
5019 #undef __FUNCT__
5020 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5021 /*@C
5022    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5023 
5024    Collective on TS
5025 
5026    Input Arguments:
5027 +  ts - time stepping context
5028 .  t - time at which to evaluate
5029 .  U - state at which to evaluate
5030 -  ctx - context
5031 
5032    Output Arguments:
5033 .  F - right hand side
5034 
5035    Level: intermediate
5036 
5037    Notes:
5038    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5039    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5040 
5041 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5042 @*/
5043 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5044 {
5045   PetscErrorCode ierr;
5046   Mat            Arhs,Brhs;
5047 
5048   PetscFunctionBegin;
5049   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5050   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5051   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5052   PetscFunctionReturn(0);
5053 }
5054 
5055 #undef __FUNCT__
5056 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5057 /*@C
5058    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5059 
5060    Collective on TS
5061 
5062    Input Arguments:
5063 +  ts - time stepping context
5064 .  t - time at which to evaluate
5065 .  U - state at which to evaluate
5066 -  ctx - context
5067 
5068    Output Arguments:
5069 +  A - pointer to operator
5070 .  B - pointer to preconditioning matrix
5071 -  flg - matrix structure flag
5072 
5073    Level: intermediate
5074 
5075    Notes:
5076    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5077 
5078 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5079 @*/
5080 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5081 {
5082   PetscFunctionBegin;
5083   PetscFunctionReturn(0);
5084 }
5085 
5086 #undef __FUNCT__
5087 #define __FUNCT__ "TSComputeIFunctionLinear"
5088 /*@C
5089    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5090 
5091    Collective on TS
5092 
5093    Input Arguments:
5094 +  ts - time stepping context
5095 .  t - time at which to evaluate
5096 .  U - state at which to evaluate
5097 .  Udot - time derivative of state vector
5098 -  ctx - context
5099 
5100    Output Arguments:
5101 .  F - left hand side
5102 
5103    Level: intermediate
5104 
5105    Notes:
5106    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
5107    user is required to write their own TSComputeIFunction.
5108    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5109    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5110 
5111    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5112 
5113 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5114 @*/
5115 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5116 {
5117   PetscErrorCode ierr;
5118   Mat            A,B;
5119 
5120   PetscFunctionBegin;
5121   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5122   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5123   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5124   PetscFunctionReturn(0);
5125 }
5126 
5127 #undef __FUNCT__
5128 #define __FUNCT__ "TSComputeIJacobianConstant"
5129 /*@C
5130    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5131 
5132    Collective on TS
5133 
5134    Input Arguments:
5135 +  ts - time stepping context
5136 .  t - time at which to evaluate
5137 .  U - state at which to evaluate
5138 .  Udot - time derivative of state vector
5139 .  shift - shift to apply
5140 -  ctx - context
5141 
5142    Output Arguments:
5143 +  A - pointer to operator
5144 .  B - pointer to preconditioning matrix
5145 -  flg - matrix structure flag
5146 
5147    Level: advanced
5148 
5149    Notes:
5150    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5151 
5152    It is only appropriate for problems of the form
5153 
5154 $     M Udot = F(U,t)
5155 
5156   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5157   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5158   an implicit operator of the form
5159 
5160 $    shift*M + J
5161 
5162   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
5163   a copy of M or reassemble it when requested.
5164 
5165 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5166 @*/
5167 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5168 {
5169   PetscErrorCode ierr;
5170 
5171   PetscFunctionBegin;
5172   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5173   ts->ijacobian.shift = shift;
5174   PetscFunctionReturn(0);
5175 }
5176 
5177 #undef __FUNCT__
5178 #define __FUNCT__ "TSGetEquationType"
5179 /*@
5180    TSGetEquationType - Gets the type of the equation that TS is solving.
5181 
5182    Not Collective
5183 
5184    Input Parameter:
5185 .  ts - the TS context
5186 
5187    Output Parameter:
5188 .  equation_type - see TSEquationType
5189 
5190    Level: beginner
5191 
5192 .keywords: TS, equation type
5193 
5194 .seealso: TSSetEquationType(), TSEquationType
5195 @*/
5196 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5197 {
5198   PetscFunctionBegin;
5199   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5200   PetscValidPointer(equation_type,2);
5201   *equation_type = ts->equation_type;
5202   PetscFunctionReturn(0);
5203 }
5204 
5205 #undef __FUNCT__
5206 #define __FUNCT__ "TSSetEquationType"
5207 /*@
5208    TSSetEquationType - Sets the type of the equation that TS is solving.
5209 
5210    Not Collective
5211 
5212    Input Parameter:
5213 +  ts - the TS context
5214 -  equation_type - see TSEquationType
5215 
5216    Level: advanced
5217 
5218 .keywords: TS, equation type
5219 
5220 .seealso: TSGetEquationType(), TSEquationType
5221 @*/
5222 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5223 {
5224   PetscFunctionBegin;
5225   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5226   ts->equation_type = equation_type;
5227   PetscFunctionReturn(0);
5228 }
5229 
5230 #undef __FUNCT__
5231 #define __FUNCT__ "TSGetConvergedReason"
5232 /*@
5233    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5234 
5235    Not Collective
5236 
5237    Input Parameter:
5238 .  ts - the TS context
5239 
5240    Output Parameter:
5241 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5242             manual pages for the individual convergence tests for complete lists
5243 
5244    Level: beginner
5245 
5246    Notes:
5247    Can only be called after the call to TSSolve() is complete.
5248 
5249 .keywords: TS, nonlinear, set, convergence, test
5250 
5251 .seealso: TSSetConvergenceTest(), TSConvergedReason
5252 @*/
5253 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5254 {
5255   PetscFunctionBegin;
5256   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5257   PetscValidPointer(reason,2);
5258   *reason = ts->reason;
5259   PetscFunctionReturn(0);
5260 }
5261 
5262 #undef __FUNCT__
5263 #define __FUNCT__ "TSSetConvergedReason"
5264 /*@
5265    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5266 
5267    Not Collective
5268 
5269    Input Parameter:
5270 +  ts - the TS context
5271 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5272             manual pages for the individual convergence tests for complete lists
5273 
5274    Level: advanced
5275 
5276    Notes:
5277    Can only be called during TSSolve() is active.
5278 
5279 .keywords: TS, nonlinear, set, convergence, test
5280 
5281 .seealso: TSConvergedReason
5282 @*/
5283 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5284 {
5285   PetscFunctionBegin;
5286   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5287   ts->reason = reason;
5288   PetscFunctionReturn(0);
5289 }
5290 
5291 #undef __FUNCT__
5292 #define __FUNCT__ "TSGetSolveTime"
5293 /*@
5294    TSGetSolveTime - Gets the time after a call to TSSolve()
5295 
5296    Not Collective
5297 
5298    Input Parameter:
5299 .  ts - the TS context
5300 
5301    Output Parameter:
5302 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5303 
5304    Level: beginner
5305 
5306    Notes:
5307    Can only be called after the call to TSSolve() is complete.
5308 
5309 .keywords: TS, nonlinear, set, convergence, test
5310 
5311 .seealso: TSSetConvergenceTest(), TSConvergedReason
5312 @*/
5313 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5314 {
5315   PetscFunctionBegin;
5316   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5317   PetscValidPointer(ftime,2);
5318   *ftime = ts->solvetime;
5319   PetscFunctionReturn(0);
5320 }
5321 
5322 #undef __FUNCT__
5323 #define __FUNCT__ "TSGetTotalSteps"
5324 /*@
5325    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5326 
5327    Not Collective
5328 
5329    Input Parameter:
5330 .  ts - the TS context
5331 
5332    Output Parameter:
5333 .  steps - the number of steps
5334 
5335    Level: beginner
5336 
5337    Notes:
5338    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5339 
5340 .keywords: TS, nonlinear, set, convergence, test
5341 
5342 .seealso: TSSetConvergenceTest(), TSConvergedReason
5343 @*/
5344 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5345 {
5346   PetscFunctionBegin;
5347   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5348   PetscValidPointer(steps,2);
5349   *steps = ts->total_steps;
5350   PetscFunctionReturn(0);
5351 }
5352 
5353 #undef __FUNCT__
5354 #define __FUNCT__ "TSGetSNESIterations"
5355 /*@
5356    TSGetSNESIterations - Gets the total number of nonlinear iterations
5357    used by the time integrator.
5358 
5359    Not Collective
5360 
5361    Input Parameter:
5362 .  ts - TS context
5363 
5364    Output Parameter:
5365 .  nits - number of nonlinear iterations
5366 
5367    Notes:
5368    This counter is reset to zero for each successive call to TSSolve().
5369 
5370    Level: intermediate
5371 
5372 .keywords: TS, get, number, nonlinear, iterations
5373 
5374 .seealso:  TSGetKSPIterations()
5375 @*/
5376 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5377 {
5378   PetscFunctionBegin;
5379   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5380   PetscValidIntPointer(nits,2);
5381   *nits = ts->snes_its;
5382   PetscFunctionReturn(0);
5383 }
5384 
5385 #undef __FUNCT__
5386 #define __FUNCT__ "TSGetKSPIterations"
5387 /*@
5388    TSGetKSPIterations - Gets the total number of linear iterations
5389    used by the time integrator.
5390 
5391    Not Collective
5392 
5393    Input Parameter:
5394 .  ts - TS context
5395 
5396    Output Parameter:
5397 .  lits - number of linear iterations
5398 
5399    Notes:
5400    This counter is reset to zero for each successive call to TSSolve().
5401 
5402    Level: intermediate
5403 
5404 .keywords: TS, get, number, linear, iterations
5405 
5406 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5407 @*/
5408 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5409 {
5410   PetscFunctionBegin;
5411   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5412   PetscValidIntPointer(lits,2);
5413   *lits = ts->ksp_its;
5414   PetscFunctionReturn(0);
5415 }
5416 
5417 #undef __FUNCT__
5418 #define __FUNCT__ "TSGetStepRejections"
5419 /*@
5420    TSGetStepRejections - Gets the total number of rejected steps.
5421 
5422    Not Collective
5423 
5424    Input Parameter:
5425 .  ts - TS context
5426 
5427    Output Parameter:
5428 .  rejects - number of steps rejected
5429 
5430    Notes:
5431    This counter is reset to zero for each successive call to TSSolve().
5432 
5433    Level: intermediate
5434 
5435 .keywords: TS, get, number
5436 
5437 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5438 @*/
5439 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5440 {
5441   PetscFunctionBegin;
5442   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5443   PetscValidIntPointer(rejects,2);
5444   *rejects = ts->reject;
5445   PetscFunctionReturn(0);
5446 }
5447 
5448 #undef __FUNCT__
5449 #define __FUNCT__ "TSGetSNESFailures"
5450 /*@
5451    TSGetSNESFailures - Gets the total number of failed SNES solves
5452 
5453    Not Collective
5454 
5455    Input Parameter:
5456 .  ts - TS context
5457 
5458    Output Parameter:
5459 .  fails - number of failed nonlinear solves
5460 
5461    Notes:
5462    This counter is reset to zero for each successive call to TSSolve().
5463 
5464    Level: intermediate
5465 
5466 .keywords: TS, get, number
5467 
5468 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5469 @*/
5470 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5471 {
5472   PetscFunctionBegin;
5473   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5474   PetscValidIntPointer(fails,2);
5475   *fails = ts->num_snes_failures;
5476   PetscFunctionReturn(0);
5477 }
5478 
5479 #undef __FUNCT__
5480 #define __FUNCT__ "TSSetMaxStepRejections"
5481 /*@
5482    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5483 
5484    Not Collective
5485 
5486    Input Parameter:
5487 +  ts - TS context
5488 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5489 
5490    Notes:
5491    The counter is reset to zero for each step
5492 
5493    Options Database Key:
5494  .  -ts_max_reject - Maximum number of step rejections before a step fails
5495 
5496    Level: intermediate
5497 
5498 .keywords: TS, set, maximum, number
5499 
5500 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5501 @*/
5502 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5503 {
5504   PetscFunctionBegin;
5505   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5506   ts->max_reject = rejects;
5507   PetscFunctionReturn(0);
5508 }
5509 
5510 #undef __FUNCT__
5511 #define __FUNCT__ "TSSetMaxSNESFailures"
5512 /*@
5513    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5514 
5515    Not Collective
5516 
5517    Input Parameter:
5518 +  ts - TS context
5519 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5520 
5521    Notes:
5522    The counter is reset to zero for each successive call to TSSolve().
5523 
5524    Options Database Key:
5525  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5526 
5527    Level: intermediate
5528 
5529 .keywords: TS, set, maximum, number
5530 
5531 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5532 @*/
5533 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5534 {
5535   PetscFunctionBegin;
5536   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5537   ts->max_snes_failures = fails;
5538   PetscFunctionReturn(0);
5539 }
5540 
5541 #undef __FUNCT__
5542 #define __FUNCT__ "TSSetErrorIfStepFails"
5543 /*@
5544    TSSetErrorIfStepFails - Error if no step succeeds
5545 
5546    Not Collective
5547 
5548    Input Parameter:
5549 +  ts - TS context
5550 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5551 
5552    Options Database Key:
5553  .  -ts_error_if_step_fails - Error if no step succeeds
5554 
5555    Level: intermediate
5556 
5557 .keywords: TS, set, error
5558 
5559 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5560 @*/
5561 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5562 {
5563   PetscFunctionBegin;
5564   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5565   ts->errorifstepfailed = err;
5566   PetscFunctionReturn(0);
5567 }
5568 
5569 #undef __FUNCT__
5570 #define __FUNCT__ "TSMonitorSolution"
5571 /*@C
5572    TSMonitorSolution - Monitors progress of the TS solvers by VecView() for the solution at each timestep. Normally the viewer is a binary file or a PetscDraw object
5573 
5574    Collective on TS
5575 
5576    Input Parameters:
5577 +  ts - the TS context
5578 .  step - current time-step
5579 .  ptime - current time
5580 .  u - current state
5581 -  vf - viewer and its format
5582 
5583    Level: intermediate
5584 
5585 .keywords: TS,  vector, monitor, view
5586 
5587 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5588 @*/
5589 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5590 {
5591   PetscErrorCode ierr;
5592 
5593   PetscFunctionBegin;
5594   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5595   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5596   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5597   PetscFunctionReturn(0);
5598 }
5599 
5600 #undef __FUNCT__
5601 #define __FUNCT__ "TSMonitorSolutionVTK"
5602 /*@C
5603    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5604 
5605    Collective on TS
5606 
5607    Input Parameters:
5608 +  ts - the TS context
5609 .  step - current time-step
5610 .  ptime - current time
5611 .  u - current state
5612 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5613 
5614    Level: intermediate
5615 
5616    Notes:
5617    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.
5618    These are named according to the file name template.
5619 
5620    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5621 
5622 .keywords: TS,  vector, monitor, view
5623 
5624 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5625 @*/
5626 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5627 {
5628   PetscErrorCode ierr;
5629   char           filename[PETSC_MAX_PATH_LEN];
5630   PetscViewer    viewer;
5631 
5632   PetscFunctionBegin;
5633   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5634   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5635   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5636   ierr = VecView(u,viewer);CHKERRQ(ierr);
5637   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5638   PetscFunctionReturn(0);
5639 }
5640 
5641 #undef __FUNCT__
5642 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5643 /*@C
5644    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5645 
5646    Collective on TS
5647 
5648    Input Parameters:
5649 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5650 
5651    Level: intermediate
5652 
5653    Note:
5654    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5655 
5656 .keywords: TS,  vector, monitor, view
5657 
5658 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5659 @*/
5660 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5661 {
5662   PetscErrorCode ierr;
5663 
5664   PetscFunctionBegin;
5665   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5666   PetscFunctionReturn(0);
5667 }
5668 
5669 #undef __FUNCT__
5670 #define __FUNCT__ "TSGetAdapt"
5671 /*@
5672    TSGetAdapt - Get the adaptive controller context for the current method
5673 
5674    Collective on TS if controller has not been created yet
5675 
5676    Input Arguments:
5677 .  ts - time stepping context
5678 
5679    Output Arguments:
5680 .  adapt - adaptive controller
5681 
5682    Level: intermediate
5683 
5684 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5685 @*/
5686 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5687 {
5688   PetscErrorCode ierr;
5689 
5690   PetscFunctionBegin;
5691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5692   PetscValidPointer(adapt,2);
5693   if (!ts->adapt) {
5694     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5695     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5696     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5697   }
5698   *adapt = ts->adapt;
5699   PetscFunctionReturn(0);
5700 }
5701 
5702 #undef __FUNCT__
5703 #define __FUNCT__ "TSSetTolerances"
5704 /*@
5705    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5706 
5707    Logically Collective
5708 
5709    Input Arguments:
5710 +  ts - time integration context
5711 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5712 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5713 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5714 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5715 
5716    Options Database keys:
5717 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5718 -  -ts_atol <atol> Absolute tolerance for local truncation error
5719 
5720    Notes:
5721    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5722    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5723    computed only for the differential or the algebraic part then this can be done using the vector of
5724    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5725    differential part and infinity for the algebraic part, the LTE calculation will include only the
5726    differential variables.
5727 
5728    Level: beginner
5729 
5730 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5731 @*/
5732 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5733 {
5734   PetscErrorCode ierr;
5735 
5736   PetscFunctionBegin;
5737   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5738   if (vatol) {
5739     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5740     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5741     ts->vatol = vatol;
5742   }
5743   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5744   if (vrtol) {
5745     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5746     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5747     ts->vrtol = vrtol;
5748   }
5749   PetscFunctionReturn(0);
5750 }
5751 
5752 #undef __FUNCT__
5753 #define __FUNCT__ "TSGetTolerances"
5754 /*@
5755    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5756 
5757    Logically Collective
5758 
5759    Input Arguments:
5760 .  ts - time integration context
5761 
5762    Output Arguments:
5763 +  atol - scalar absolute tolerances, NULL to ignore
5764 .  vatol - vector of absolute tolerances, NULL to ignore
5765 .  rtol - scalar relative tolerances, NULL to ignore
5766 -  vrtol - vector of relative tolerances, NULL to ignore
5767 
5768    Level: beginner
5769 
5770 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5771 @*/
5772 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5773 {
5774   PetscFunctionBegin;
5775   if (atol)  *atol  = ts->atol;
5776   if (vatol) *vatol = ts->vatol;
5777   if (rtol)  *rtol  = ts->rtol;
5778   if (vrtol) *vrtol = ts->vrtol;
5779   PetscFunctionReturn(0);
5780 }
5781 
5782 #undef __FUNCT__
5783 #define __FUNCT__ "TSErrorWeightedNorm2"
5784 /*@
5785    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5786 
5787    Collective on TS
5788 
5789    Input Arguments:
5790 +  ts - time stepping context
5791 .  U - state vector, usually ts->vec_sol
5792 -  Y - state vector to be compared to U
5793 
5794    Output Arguments:
5795 .  norm - weighted norm, a value of 1.0 is considered small
5796 
5797    Level: developer
5798 
5799 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5800 @*/
5801 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5802 {
5803   PetscErrorCode    ierr;
5804   PetscInt          i,n,N,rstart;
5805   const PetscScalar *u,*y;
5806   PetscReal         sum,gsum;
5807   PetscReal         tol;
5808 
5809   PetscFunctionBegin;
5810   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5811   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5812   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5813   PetscValidType(U,2);
5814   PetscValidType(Y,3);
5815   PetscCheckSameComm(U,2,Y,3);
5816   PetscValidPointer(norm,4);
5817   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5818 
5819   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5820   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5821   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5822   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5823   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5824   sum  = 0.;
5825   if (ts->vatol && ts->vrtol) {
5826     const PetscScalar *atol,*rtol;
5827     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5828     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5829     for (i=0; i<n; i++) {
5830       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5831       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5832     }
5833     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5834     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5835   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5836     const PetscScalar *atol;
5837     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5838     for (i=0; i<n; i++) {
5839       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5840       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5841     }
5842     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5843   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5844     const PetscScalar *rtol;
5845     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5846     for (i=0; i<n; i++) {
5847       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5848       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5849     }
5850     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5851   } else {                      /* scalar atol, scalar rtol */
5852     for (i=0; i<n; i++) {
5853       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5854       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5855     }
5856   }
5857   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5858   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5859 
5860   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5861   *norm = PetscSqrtReal(gsum / N);
5862 
5863   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5864   PetscFunctionReturn(0);
5865 }
5866 
5867 #undef __FUNCT__
5868 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5869 /*@
5870    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5871 
5872    Collective on TS
5873 
5874    Input Arguments:
5875 +  ts - time stepping context
5876 .  U - state vector, usually ts->vec_sol
5877 -  Y - state vector to be compared to U
5878 
5879    Output Arguments:
5880 .  norm - weighted norm, a value of 1.0 is considered small
5881 
5882    Level: developer
5883 
5884 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5885 @*/
5886 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5887 {
5888   PetscErrorCode    ierr;
5889   PetscInt          i,n,N,rstart,k;
5890   const PetscScalar *u,*y;
5891   PetscReal         max,gmax;
5892   PetscReal         tol;
5893 
5894   PetscFunctionBegin;
5895   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5896   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5897   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5898   PetscValidType(U,2);
5899   PetscValidType(Y,3);
5900   PetscCheckSameComm(U,2,Y,3);
5901   PetscValidPointer(norm,4);
5902   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5903 
5904   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5905   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5906   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5907   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5908   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5909   if (ts->vatol && ts->vrtol) {
5910     const PetscScalar *atol,*rtol;
5911     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5912     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5913     k = 0;
5914     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5915     max = PetscAbsScalar(y[k] - u[k]) / tol;
5916     for (i=1; i<n; i++) {
5917       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5918       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5919     }
5920     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5921     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5922   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5923     const PetscScalar *atol;
5924     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5925     k = 0;
5926     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5927     max = PetscAbsScalar(y[k] - u[k]) / tol;
5928     for (i=1; i<n; i++) {
5929       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5930       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5931     }
5932     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5933   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5934     const PetscScalar *rtol;
5935     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5936     k = 0;
5937     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5938     max = PetscAbsScalar(y[k] - u[k]) / tol;
5939     for (i=1; i<n; i++) {
5940       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5941       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5942     }
5943     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5944   } else {                      /* scalar atol, scalar rtol */
5945     k = 0;
5946     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5947     max = PetscAbsScalar(y[k] - u[k]) / tol;
5948     for (i=1; i<n; i++) {
5949       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5950       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5951     }
5952   }
5953   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5954   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5955 
5956   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5957   *norm = gmax;
5958 
5959   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5960   PetscFunctionReturn(0);
5961 }
5962 
5963 #undef __FUNCT__
5964 #define __FUNCT__ "TSErrorWeightedNorm"
5965 /*@
5966    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
5967 
5968    Collective on TS
5969 
5970    Input Arguments:
5971 +  ts - time stepping context
5972 .  U - state vector, usually ts->vec_sol
5973 .  Y - state vector to be compared to U
5974 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
5975 
5976    Output Arguments:
5977 .  norm - weighted norm, a value of 1.0 is considered small
5978 
5979 
5980    Options Database Keys:
5981 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
5982 
5983    Level: developer
5984 
5985 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
5986 @*/
5987 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
5988 {
5989   PetscErrorCode ierr;
5990 
5991   PetscFunctionBegin;
5992   if (wnormtype == NORM_2) {
5993     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
5994   } else if(wnormtype == NORM_INFINITY) {
5995     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
5996   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
5997   PetscFunctionReturn(0);
5998 }
5999 
6000 #undef __FUNCT__
6001 #define __FUNCT__ "TSSetCFLTimeLocal"
6002 /*@
6003    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6004 
6005    Logically Collective on TS
6006 
6007    Input Arguments:
6008 +  ts - time stepping context
6009 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6010 
6011    Note:
6012    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6013 
6014    Level: intermediate
6015 
6016 .seealso: TSGetCFLTime(), TSADAPTCFL
6017 @*/
6018 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6019 {
6020   PetscFunctionBegin;
6021   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6022   ts->cfltime_local = cfltime;
6023   ts->cfltime       = -1.;
6024   PetscFunctionReturn(0);
6025 }
6026 
6027 #undef __FUNCT__
6028 #define __FUNCT__ "TSGetCFLTime"
6029 /*@
6030    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6031 
6032    Collective on TS
6033 
6034    Input Arguments:
6035 .  ts - time stepping context
6036 
6037    Output Arguments:
6038 .  cfltime - maximum stable time step for forward Euler
6039 
6040    Level: advanced
6041 
6042 .seealso: TSSetCFLTimeLocal()
6043 @*/
6044 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6045 {
6046   PetscErrorCode ierr;
6047 
6048   PetscFunctionBegin;
6049   if (ts->cfltime < 0) {
6050     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6051   }
6052   *cfltime = ts->cfltime;
6053   PetscFunctionReturn(0);
6054 }
6055 
6056 #undef __FUNCT__
6057 #define __FUNCT__ "TSVISetVariableBounds"
6058 /*@
6059    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6060 
6061    Input Parameters:
6062 .  ts   - the TS context.
6063 .  xl   - lower bound.
6064 .  xu   - upper bound.
6065 
6066    Notes:
6067    If this routine is not called then the lower and upper bounds are set to
6068    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6069 
6070    Level: advanced
6071 
6072 @*/
6073 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6074 {
6075   PetscErrorCode ierr;
6076   SNES           snes;
6077 
6078   PetscFunctionBegin;
6079   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6080   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6081   PetscFunctionReturn(0);
6082 }
6083 
6084 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6085 #include <mex.h>
6086 
6087 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6088 
6089 #undef __FUNCT__
6090 #define __FUNCT__ "TSComputeFunction_Matlab"
6091 /*
6092    TSComputeFunction_Matlab - Calls the function that has been set with
6093                          TSSetFunctionMatlab().
6094 
6095    Collective on TS
6096 
6097    Input Parameters:
6098 +  snes - the TS context
6099 -  u - input vector
6100 
6101    Output Parameter:
6102 .  y - function vector, as set by TSSetFunction()
6103 
6104    Notes:
6105    TSComputeFunction() is typically used within nonlinear solvers
6106    implementations, so most users would not generally call this routine
6107    themselves.
6108 
6109    Level: developer
6110 
6111 .keywords: TS, nonlinear, compute, function
6112 
6113 .seealso: TSSetFunction(), TSGetFunction()
6114 */
6115 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6116 {
6117   PetscErrorCode  ierr;
6118   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6119   int             nlhs  = 1,nrhs = 7;
6120   mxArray         *plhs[1],*prhs[7];
6121   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6122 
6123   PetscFunctionBegin;
6124   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6125   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6126   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6127   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6128   PetscCheckSameComm(snes,1,u,3);
6129   PetscCheckSameComm(snes,1,y,5);
6130 
6131   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6132   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6133   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6134   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6135 
6136   prhs[0] =  mxCreateDoubleScalar((double)ls);
6137   prhs[1] =  mxCreateDoubleScalar(time);
6138   prhs[2] =  mxCreateDoubleScalar((double)lx);
6139   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6140   prhs[4] =  mxCreateDoubleScalar((double)ly);
6141   prhs[5] =  mxCreateString(sctx->funcname);
6142   prhs[6] =  sctx->ctx;
6143   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6144   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6145   mxDestroyArray(prhs[0]);
6146   mxDestroyArray(prhs[1]);
6147   mxDestroyArray(prhs[2]);
6148   mxDestroyArray(prhs[3]);
6149   mxDestroyArray(prhs[4]);
6150   mxDestroyArray(prhs[5]);
6151   mxDestroyArray(plhs[0]);
6152   PetscFunctionReturn(0);
6153 }
6154 
6155 
6156 #undef __FUNCT__
6157 #define __FUNCT__ "TSSetFunctionMatlab"
6158 /*
6159    TSSetFunctionMatlab - Sets the function evaluation routine and function
6160    vector for use by the TS routines in solving ODEs
6161    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6162 
6163    Logically Collective on TS
6164 
6165    Input Parameters:
6166 +  ts - the TS context
6167 -  func - function evaluation routine
6168 
6169    Calling sequence of func:
6170 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6171 
6172    Level: beginner
6173 
6174 .keywords: TS, nonlinear, set, function
6175 
6176 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6177 */
6178 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6179 {
6180   PetscErrorCode  ierr;
6181   TSMatlabContext *sctx;
6182 
6183   PetscFunctionBegin;
6184   /* currently sctx is memory bleed */
6185   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
6186   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6187   /*
6188      This should work, but it doesn't
6189   sctx->ctx = ctx;
6190   mexMakeArrayPersistent(sctx->ctx);
6191   */
6192   sctx->ctx = mxDuplicateArray(ctx);
6193 
6194   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6195   PetscFunctionReturn(0);
6196 }
6197 
6198 #undef __FUNCT__
6199 #define __FUNCT__ "TSComputeJacobian_Matlab"
6200 /*
6201    TSComputeJacobian_Matlab - Calls the function that has been set with
6202                          TSSetJacobianMatlab().
6203 
6204    Collective on TS
6205 
6206    Input Parameters:
6207 +  ts - the TS context
6208 .  u - input vector
6209 .  A, B - the matrices
6210 -  ctx - user context
6211 
6212    Level: developer
6213 
6214 .keywords: TS, nonlinear, compute, function
6215 
6216 .seealso: TSSetFunction(), TSGetFunction()
6217 @*/
6218 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6219 {
6220   PetscErrorCode  ierr;
6221   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6222   int             nlhs  = 2,nrhs = 9;
6223   mxArray         *plhs[2],*prhs[9];
6224   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6225 
6226   PetscFunctionBegin;
6227   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6228   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6229 
6230   /* call Matlab function in ctx with arguments u and y */
6231 
6232   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6233   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6234   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6235   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6236   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6237 
6238   prhs[0] =  mxCreateDoubleScalar((double)ls);
6239   prhs[1] =  mxCreateDoubleScalar((double)time);
6240   prhs[2] =  mxCreateDoubleScalar((double)lx);
6241   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6242   prhs[4] =  mxCreateDoubleScalar((double)shift);
6243   prhs[5] =  mxCreateDoubleScalar((double)lA);
6244   prhs[6] =  mxCreateDoubleScalar((double)lB);
6245   prhs[7] =  mxCreateString(sctx->funcname);
6246   prhs[8] =  sctx->ctx;
6247   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6248   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6249   mxDestroyArray(prhs[0]);
6250   mxDestroyArray(prhs[1]);
6251   mxDestroyArray(prhs[2]);
6252   mxDestroyArray(prhs[3]);
6253   mxDestroyArray(prhs[4]);
6254   mxDestroyArray(prhs[5]);
6255   mxDestroyArray(prhs[6]);
6256   mxDestroyArray(prhs[7]);
6257   mxDestroyArray(plhs[0]);
6258   mxDestroyArray(plhs[1]);
6259   PetscFunctionReturn(0);
6260 }
6261 
6262 
6263 #undef __FUNCT__
6264 #define __FUNCT__ "TSSetJacobianMatlab"
6265 /*
6266    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6267    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
6268 
6269    Logically Collective on TS
6270 
6271    Input Parameters:
6272 +  ts - the TS context
6273 .  A,B - Jacobian matrices
6274 .  func - function evaluation routine
6275 -  ctx - user context
6276 
6277    Calling sequence of func:
6278 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6279 
6280 
6281    Level: developer
6282 
6283 .keywords: TS, nonlinear, set, function
6284 
6285 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6286 */
6287 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6288 {
6289   PetscErrorCode  ierr;
6290   TSMatlabContext *sctx;
6291 
6292   PetscFunctionBegin;
6293   /* currently sctx is memory bleed */
6294   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
6295   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6296   /*
6297      This should work, but it doesn't
6298   sctx->ctx = ctx;
6299   mexMakeArrayPersistent(sctx->ctx);
6300   */
6301   sctx->ctx = mxDuplicateArray(ctx);
6302 
6303   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6304   PetscFunctionReturn(0);
6305 }
6306 
6307 #undef __FUNCT__
6308 #define __FUNCT__ "TSMonitor_Matlab"
6309 /*
6310    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6311 
6312    Collective on TS
6313 
6314 .seealso: TSSetFunction(), TSGetFunction()
6315 @*/
6316 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6317 {
6318   PetscErrorCode  ierr;
6319   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6320   int             nlhs  = 1,nrhs = 6;
6321   mxArray         *plhs[1],*prhs[6];
6322   long long int   lx = 0,ls = 0;
6323 
6324   PetscFunctionBegin;
6325   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6326   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6327 
6328   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6329   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6330 
6331   prhs[0] =  mxCreateDoubleScalar((double)ls);
6332   prhs[1] =  mxCreateDoubleScalar((double)it);
6333   prhs[2] =  mxCreateDoubleScalar((double)time);
6334   prhs[3] =  mxCreateDoubleScalar((double)lx);
6335   prhs[4] =  mxCreateString(sctx->funcname);
6336   prhs[5] =  sctx->ctx;
6337   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6338   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6339   mxDestroyArray(prhs[0]);
6340   mxDestroyArray(prhs[1]);
6341   mxDestroyArray(prhs[2]);
6342   mxDestroyArray(prhs[3]);
6343   mxDestroyArray(prhs[4]);
6344   mxDestroyArray(plhs[0]);
6345   PetscFunctionReturn(0);
6346 }
6347 
6348 
6349 #undef __FUNCT__
6350 #define __FUNCT__ "TSMonitorSetMatlab"
6351 /*
6352    TSMonitorSetMatlab - Sets the monitor function from Matlab
6353 
6354    Level: developer
6355 
6356 .keywords: TS, nonlinear, set, function
6357 
6358 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6359 */
6360 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6361 {
6362   PetscErrorCode  ierr;
6363   TSMatlabContext *sctx;
6364 
6365   PetscFunctionBegin;
6366   /* currently sctx is memory bleed */
6367   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
6368   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6369   /*
6370      This should work, but it doesn't
6371   sctx->ctx = ctx;
6372   mexMakeArrayPersistent(sctx->ctx);
6373   */
6374   sctx->ctx = mxDuplicateArray(ctx);
6375 
6376   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6377   PetscFunctionReturn(0);
6378 }
6379 #endif
6380 
6381 #undef __FUNCT__
6382 #define __FUNCT__ "TSMonitorLGSolution"
6383 /*@C
6384    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6385        in a time based line graph
6386 
6387    Collective on TS
6388 
6389    Input Parameters:
6390 +  ts - the TS context
6391 .  step - current time-step
6392 .  ptime - current time
6393 .  u - current solution
6394 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6395 
6396    Options Database:
6397 .   -ts_monitor_lg_solution_variables
6398 
6399    Level: intermediate
6400 
6401    Notes: Each process in a parallel run displays its component solutions in a separate window
6402 
6403 .keywords: TS,  vector, monitor, view
6404 
6405 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6406            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6407            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6408            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6409 @*/
6410 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6411 {
6412   PetscErrorCode    ierr;
6413   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6414   const PetscScalar *yy;
6415   Vec               v;
6416 
6417   PetscFunctionBegin;
6418   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6419   if (!step) {
6420     PetscDrawAxis axis;
6421     PetscInt      dim;
6422     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6423     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6424     if (ctx->names && !ctx->displaynames) {
6425       char      **displaynames;
6426       PetscBool flg;
6427       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6428       ierr = PetscMalloc((dim+1)*sizeof(char*),&displaynames);CHKERRQ(ierr);
6429       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6430       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6431       if (flg) {
6432         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6433       }
6434       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6435     }
6436     if (ctx->displaynames) {
6437       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6438       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6439     } else if (ctx->names) {
6440       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6441       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6442       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6443     } else {
6444       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6445       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6446     }
6447     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6448   }
6449 
6450   if (!ctx->transform) v = u;
6451   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6452   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6453   if (ctx->displaynames) {
6454     PetscInt i;
6455     for (i=0; i<ctx->ndisplayvariables; i++)
6456       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6457     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6458   } else {
6459 #if defined(PETSC_USE_COMPLEX)
6460     PetscInt  i,n;
6461     PetscReal *yreal;
6462     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6463     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6464     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6465     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6466     ierr = PetscFree(yreal);CHKERRQ(ierr);
6467 #else
6468     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6469 #endif
6470   }
6471   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6472   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6473 
6474   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6475     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6476     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6477   }
6478   PetscFunctionReturn(0);
6479 }
6480 
6481 
6482 #undef __FUNCT__
6483 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6484 /*@C
6485    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6486 
6487    Collective on TS
6488 
6489    Input Parameters:
6490 +  ts - the TS context
6491 -  names - the names of the components, final string must be NULL
6492 
6493    Level: intermediate
6494 
6495    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6496 
6497 .keywords: TS,  vector, monitor, view
6498 
6499 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6500 @*/
6501 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6502 {
6503   PetscErrorCode    ierr;
6504   PetscInt          i;
6505 
6506   PetscFunctionBegin;
6507   for (i=0; i<ts->numbermonitors; i++) {
6508     if (ts->monitor[i] == TSMonitorLGSolution) {
6509       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6510       break;
6511     }
6512   }
6513   PetscFunctionReturn(0);
6514 }
6515 
6516 #undef __FUNCT__
6517 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6518 /*@C
6519    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6520 
6521    Collective on TS
6522 
6523    Input Parameters:
6524 +  ts - the TS context
6525 -  names - the names of the components, final string must be NULL
6526 
6527    Level: intermediate
6528 
6529 .keywords: TS,  vector, monitor, view
6530 
6531 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6532 @*/
6533 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6534 {
6535   PetscErrorCode    ierr;
6536 
6537   PetscFunctionBegin;
6538   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6539   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6540   PetscFunctionReturn(0);
6541 }
6542 
6543 #undef __FUNCT__
6544 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6545 /*@C
6546    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6547 
6548    Collective on TS
6549 
6550    Input Parameter:
6551 .  ts - the TS context
6552 
6553    Output Parameter:
6554 .  names - the names of the components, final string must be NULL
6555 
6556    Level: intermediate
6557 
6558    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6559 
6560 .keywords: TS,  vector, monitor, view
6561 
6562 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6563 @*/
6564 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6565 {
6566   PetscInt       i;
6567 
6568   PetscFunctionBegin;
6569   *names = NULL;
6570   for (i=0; i<ts->numbermonitors; i++) {
6571     if (ts->monitor[i] == TSMonitorLGSolution) {
6572       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6573       *names = (const char *const *)ctx->names;
6574       break;
6575     }
6576   }
6577   PetscFunctionReturn(0);
6578 }
6579 
6580 #undef __FUNCT__
6581 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6582 /*@C
6583    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6584 
6585    Collective on TS
6586 
6587    Input Parameters:
6588 +  ctx - the TSMonitorLG context
6589 .  displaynames - the names of the components, final string must be NULL
6590 
6591    Level: intermediate
6592 
6593 .keywords: TS,  vector, monitor, view
6594 
6595 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6596 @*/
6597 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6598 {
6599   PetscInt          j = 0,k;
6600   PetscErrorCode    ierr;
6601 
6602   PetscFunctionBegin;
6603   if (!ctx->names) PetscFunctionReturn(0);
6604   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6605   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6606   while (displaynames[j]) j++;
6607   ctx->ndisplayvariables = j;
6608   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6609   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6610   j = 0;
6611   while (displaynames[j]) {
6612     k = 0;
6613     while (ctx->names[k]) {
6614       PetscBool flg;
6615       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6616       if (flg) {
6617         ctx->displayvariables[j] = k;
6618         break;
6619       }
6620       k++;
6621     }
6622     j++;
6623   }
6624   PetscFunctionReturn(0);
6625 }
6626 
6627 
6628 #undef __FUNCT__
6629 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6630 /*@C
6631    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6632 
6633    Collective on TS
6634 
6635    Input Parameters:
6636 +  ts - the TS context
6637 .  displaynames - the names of the components, final string must be NULL
6638 
6639    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6640 
6641    Level: intermediate
6642 
6643 .keywords: TS,  vector, monitor, view
6644 
6645 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6646 @*/
6647 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6648 {
6649   PetscInt          i;
6650   PetscErrorCode    ierr;
6651 
6652   PetscFunctionBegin;
6653   for (i=0; i<ts->numbermonitors; i++) {
6654     if (ts->monitor[i] == TSMonitorLGSolution) {
6655       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6656       break;
6657     }
6658   }
6659   PetscFunctionReturn(0);
6660 }
6661 
6662 #undef __FUNCT__
6663 #define __FUNCT__ "TSMonitorLGSetTransform"
6664 /*@C
6665    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6666 
6667    Collective on TS
6668 
6669    Input Parameters:
6670 +  ts - the TS context
6671 .  transform - the transform function
6672 .  destroy - function to destroy the optional context
6673 -  ctx - optional context used by transform function
6674 
6675    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6676 
6677    Level: intermediate
6678 
6679 .keywords: TS,  vector, monitor, view
6680 
6681 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6682 @*/
6683 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6684 {
6685   PetscInt          i;
6686   PetscErrorCode    ierr;
6687 
6688   PetscFunctionBegin;
6689   for (i=0; i<ts->numbermonitors; i++) {
6690     if (ts->monitor[i] == TSMonitorLGSolution) {
6691       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6692     }
6693   }
6694   PetscFunctionReturn(0);
6695 }
6696 
6697 #undef __FUNCT__
6698 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6699 /*@C
6700    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6701 
6702    Collective on TSLGCtx
6703 
6704    Input Parameters:
6705 +  ts - the TS context
6706 .  transform - the transform function
6707 .  destroy - function to destroy the optional context
6708 -  ctx - optional context used by transform function
6709 
6710    Level: intermediate
6711 
6712 .keywords: TS,  vector, monitor, view
6713 
6714 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6715 @*/
6716 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6717 {
6718   PetscFunctionBegin;
6719   ctx->transform    = transform;
6720   ctx->transformdestroy = destroy;
6721   ctx->transformctx = tctx;
6722   PetscFunctionReturn(0);
6723 }
6724 
6725 #undef __FUNCT__
6726 #define __FUNCT__ "TSMonitorLGError"
6727 /*@C
6728    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6729        in a time based line graph
6730 
6731    Collective on TS
6732 
6733    Input Parameters:
6734 +  ts - the TS context
6735 .  step - current time-step
6736 .  ptime - current time
6737 .  u - current solution
6738 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6739 
6740    Level: intermediate
6741 
6742    Notes: Each process in a parallel run displays its component errors in a separate window
6743 
6744    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6745 
6746    Options Database Keys:
6747 .  -ts_monitor_lg_error - create a graphical monitor of error history
6748 
6749 .keywords: TS,  vector, monitor, view
6750 
6751 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6752 @*/
6753 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6754 {
6755   PetscErrorCode    ierr;
6756   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6757   const PetscScalar *yy;
6758   Vec               y;
6759 
6760   PetscFunctionBegin;
6761   if (!step) {
6762     PetscDrawAxis axis;
6763     PetscInt      dim;
6764     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6765     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6766     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6767     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6768     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6769   }
6770   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6771   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6772   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6773   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6774 #if defined(PETSC_USE_COMPLEX)
6775   {
6776     PetscReal *yreal;
6777     PetscInt  i,n;
6778     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6779     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6780     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6781     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6782     ierr = PetscFree(yreal);CHKERRQ(ierr);
6783   }
6784 #else
6785   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6786 #endif
6787   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6788   ierr = VecDestroy(&y);CHKERRQ(ierr);
6789   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6790     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6791     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6792   }
6793   PetscFunctionReturn(0);
6794 }
6795 
6796 #undef __FUNCT__
6797 #define __FUNCT__ "TSMonitorLGSNESIterations"
6798 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6799 {
6800   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6801   PetscReal      x   = ptime,y;
6802   PetscErrorCode ierr;
6803   PetscInt       its;
6804 
6805   PetscFunctionBegin;
6806   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6807   if (!n) {
6808     PetscDrawAxis axis;
6809     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6810     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6811     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6812     ctx->snes_its = 0;
6813   }
6814   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6815   y    = its - ctx->snes_its;
6816   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6817   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6818     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6819     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6820   }
6821   ctx->snes_its = its;
6822   PetscFunctionReturn(0);
6823 }
6824 
6825 #undef __FUNCT__
6826 #define __FUNCT__ "TSMonitorLGKSPIterations"
6827 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6828 {
6829   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6830   PetscReal      x   = ptime,y;
6831   PetscErrorCode ierr;
6832   PetscInt       its;
6833 
6834   PetscFunctionBegin;
6835   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6836   if (!n) {
6837     PetscDrawAxis axis;
6838     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6839     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6840     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6841     ctx->ksp_its = 0;
6842   }
6843   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6844   y    = its - ctx->ksp_its;
6845   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6846   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6847     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6848     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6849   }
6850   ctx->ksp_its = its;
6851   PetscFunctionReturn(0);
6852 }
6853 
6854 #undef __FUNCT__
6855 #define __FUNCT__ "TSComputeLinearStability"
6856 /*@
6857    TSComputeLinearStability - computes the linear stability function at a point
6858 
6859    Collective on TS and Vec
6860 
6861    Input Parameters:
6862 +  ts - the TS context
6863 -  xr,xi - real and imaginary part of input arguments
6864 
6865    Output Parameters:
6866 .  yr,yi - real and imaginary part of function value
6867 
6868    Level: developer
6869 
6870 .keywords: TS, compute
6871 
6872 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6873 @*/
6874 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6875 {
6876   PetscErrorCode ierr;
6877 
6878   PetscFunctionBegin;
6879   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6880   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6881   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6882   PetscFunctionReturn(0);
6883 }
6884 
6885 /* ------------------------------------------------------------------------*/
6886 #undef __FUNCT__
6887 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6888 /*@C
6889    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6890 
6891    Collective on TS
6892 
6893    Input Parameters:
6894 .  ts  - the ODE solver object
6895 
6896    Output Parameter:
6897 .  ctx - the context
6898 
6899    Level: intermediate
6900 
6901 .keywords: TS, monitor, line graph, residual, seealso
6902 
6903 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
6904 
6905 @*/
6906 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
6907 {
6908   PetscErrorCode ierr;
6909 
6910   PetscFunctionBegin;
6911   ierr = PetscNew(ctx);CHKERRQ(ierr);
6912   PetscFunctionReturn(0);
6913 }
6914 
6915 #undef __FUNCT__
6916 #define __FUNCT__ "TSMonitorEnvelope"
6917 /*@C
6918    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
6919 
6920    Collective on TS
6921 
6922    Input Parameters:
6923 +  ts - the TS context
6924 .  step - current time-step
6925 .  ptime - current time
6926 .  u  - current solution
6927 -  dctx - the envelope context
6928 
6929    Options Database:
6930 .  -ts_monitor_envelope
6931 
6932    Level: intermediate
6933 
6934    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
6935 
6936 .keywords: TS,  vector, monitor, view
6937 
6938 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
6939 @*/
6940 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6941 {
6942   PetscErrorCode       ierr;
6943   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
6944 
6945   PetscFunctionBegin;
6946   if (!ctx->max) {
6947     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
6948     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
6949     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
6950     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
6951   } else {
6952     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
6953     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
6954   }
6955   PetscFunctionReturn(0);
6956 }
6957 
6958 
6959 #undef __FUNCT__
6960 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
6961 /*@C
6962    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
6963 
6964    Collective on TS
6965 
6966    Input Parameter:
6967 .  ts - the TS context
6968 
6969    Output Parameter:
6970 +  max - the maximum values
6971 -  min - the minimum values
6972 
6973    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
6974 
6975    Level: intermediate
6976 
6977 .keywords: TS,  vector, monitor, view
6978 
6979 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6980 @*/
6981 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
6982 {
6983   PetscInt i;
6984 
6985   PetscFunctionBegin;
6986   if (max) *max = NULL;
6987   if (min) *min = NULL;
6988   for (i=0; i<ts->numbermonitors; i++) {
6989     if (ts->monitor[i] == TSMonitorEnvelope) {
6990       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
6991       if (max) *max = ctx->max;
6992       if (min) *min = ctx->min;
6993       break;
6994     }
6995   }
6996   PetscFunctionReturn(0);
6997 }
6998 
6999 #undef __FUNCT__
7000 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7001 /*@C
7002    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7003 
7004    Collective on TSMonitorEnvelopeCtx
7005 
7006    Input Parameter:
7007 .  ctx - the monitor context
7008 
7009    Level: intermediate
7010 
7011 .keywords: TS, monitor, line graph, destroy
7012 
7013 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7014 @*/
7015 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7016 {
7017   PetscErrorCode ierr;
7018 
7019   PetscFunctionBegin;
7020   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7021   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7022   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7023   PetscFunctionReturn(0);
7024 }
7025 
7026 #undef __FUNCT__
7027 #define __FUNCT__ "TSRollBack"
7028 /*@
7029    TSRollBack - Rolls back one time step
7030 
7031    Collective on TS
7032 
7033    Input Parameter:
7034 .  ts - the TS context obtained from TSCreate()
7035 
7036    Level: advanced
7037 
7038 .keywords: TS, timestep, rollback
7039 
7040 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7041 @*/
7042 PetscErrorCode  TSRollBack(TS ts)
7043 {
7044   PetscErrorCode ierr;
7045 
7046   PetscFunctionBegin;
7047   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7048   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7049   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7050   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7051   ts->time_step = ts->ptime - ts->ptime_prev;
7052   ts->ptime = ts->ptime_prev;
7053   ts->ptime_prev = ts->ptime_prev_rollback;
7054   ts->steps--; ts->total_steps--;
7055   ts->steprollback = PETSC_TRUE;
7056   PetscFunctionReturn(0);
7057 }
7058 
7059 #undef __FUNCT__
7060 #define __FUNCT__ "TSGetStages"
7061 /*@
7062    TSGetStages - Get the number of stages and stage values
7063 
7064    Input Parameter:
7065 .  ts - the TS context obtained from TSCreate()
7066 
7067    Level: advanced
7068 
7069 .keywords: TS, getstages
7070 
7071 .seealso: TSCreate()
7072 @*/
7073 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7074 {
7075   PetscErrorCode ierr;
7076 
7077   PetscFunctionBegin;
7078   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7079   PetscValidPointer(ns,2);
7080 
7081   if (!ts->ops->getstages) *ns=0;
7082   else {
7083     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7084   }
7085   PetscFunctionReturn(0);
7086 }
7087 
7088 #undef __FUNCT__
7089 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7090 /*@C
7091   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7092 
7093   Collective on SNES
7094 
7095   Input Parameters:
7096 + ts - the TS context
7097 . t - current timestep
7098 . U - state vector
7099 . Udot - time derivative of state vector
7100 . shift - shift to apply, see note below
7101 - ctx - an optional user context
7102 
7103   Output Parameters:
7104 + J - Jacobian matrix (not altered in this routine)
7105 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7106 
7107   Level: intermediate
7108 
7109   Notes:
7110   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7111 
7112   dF/dU + shift*dF/dUdot
7113 
7114   Most users should not need to explicitly call this routine, as it
7115   is used internally within the nonlinear solvers.
7116 
7117   This will first try to get the coloring from the DM.  If the DM type has no coloring
7118   routine, then it will try to get the coloring from the matrix.  This requires that the
7119   matrix have nonzero entries precomputed.
7120 
7121 .keywords: TS, finite differences, Jacobian, coloring, sparse
7122 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7123 @*/
7124 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7125 {
7126   SNES           snes;
7127   MatFDColoring  color;
7128   PetscBool      hascolor, matcolor = PETSC_FALSE;
7129   PetscErrorCode ierr;
7130 
7131   PetscFunctionBegin;
7132   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7133   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7134   if (!color) {
7135     DM         dm;
7136     ISColoring iscoloring;
7137 
7138     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7139     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7140     if (hascolor && !matcolor) {
7141       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7142       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7143       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7144       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7145       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7146       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7147     } else {
7148       MatColoring mc;
7149 
7150       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7151       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7152       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7153       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7154       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7155       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7156       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7157       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7158       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7159       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7160       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7161     }
7162     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7163     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7164   }
7165   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7166   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7167   if (J != B) {
7168     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7169     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7170   }
7171   PetscFunctionReturn(0);
7172 }
7173 
7174 #undef __FUNCT__
7175 #define __FUNCT__ "TSSetFunctionDomainError"
7176 /*@
7177     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7178 
7179     Input Parameters:
7180     ts - the TS context
7181     func - function called within TSFunctionDomainError
7182 
7183     Level: intermediate
7184 
7185 .keywords: TS, state, domain
7186 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7187 @*/
7188 
7189 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7190 {
7191   PetscFunctionBegin;
7192   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7193   ts->functiondomainerror = func;
7194   PetscFunctionReturn(0);
7195 }
7196 
7197 #undef __FUNCT__
7198 #define __FUNCT__ "TSFunctionDomainError"
7199 /*@
7200     TSFunctionDomainError - Check if the current state is valid
7201 
7202     Input Parameters:
7203     ts - the TS context
7204     stagetime - time of the simulation
7205     Y - state vector to check.
7206 
7207     Output Parameter:
7208     accept - Set to PETSC_FALSE if the current state vector is valid.
7209 
7210     Note:
7211     This function should be used to ensure the state is in a valid part of the space.
7212     For example, one can ensure here all values are positive.
7213 
7214     Level: advanced
7215 @*/
7216 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7217 {
7218   PetscErrorCode ierr;
7219 
7220   PetscFunctionBegin;
7221 
7222   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7223   *accept = PETSC_TRUE;
7224   if (ts->functiondomainerror) {
7225     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7226   }
7227   PetscFunctionReturn(0);
7228 }
7229 
7230 #undef  __FUNCT__
7231 #define __FUNCT__ "TSClone"
7232 /*@C
7233   TSClone - This function clones a time step object.
7234 
7235   Collective on MPI_Comm
7236 
7237   Input Parameter:
7238 . tsin    - The input TS
7239 
7240   Output Parameter:
7241 . tsout   - The output TS (cloned)
7242 
7243   Notes:
7244   This function is used to create a clone of a TS object. It is used in ARKIMEX for initializing the slope for first stage explicit methods. It will likely be replaced in the future with a mechanism of switching methods on the fly.
7245 
7246   When using TSDestroy() on a clone the user has to first reset the correct TS reference in the embedded SNES object: e.g.: by running SNES snes_dup=NULL; TSGetSNES(ts,&snes_dup); ierr = TSSetSNES(ts,snes_dup);
7247 
7248   Level: developer
7249 
7250 .keywords: TS, clone
7251 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7252 @*/
7253 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7254 {
7255   TS             t;
7256   PetscErrorCode ierr;
7257   SNES           snes_start;
7258   DM             dm;
7259   TSType         type;
7260 
7261   PetscFunctionBegin;
7262   PetscValidPointer(tsin,1);
7263   *tsout = NULL;
7264 
7265   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7266 
7267   /* General TS description */
7268   t->numbermonitors    = 0;
7269   t->setupcalled       = 0;
7270   t->ksp_its           = 0;
7271   t->snes_its          = 0;
7272   t->nwork             = 0;
7273   t->rhsjacobian.time  = -1e20;
7274   t->rhsjacobian.scale = 1.;
7275   t->ijacobian.shift   = 1.;
7276 
7277   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7278   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7279 
7280   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7281   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7282 
7283   t->adapt = tsin->adapt;
7284   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7285 
7286   t->problem_type      = tsin->problem_type;
7287   t->ptime             = tsin->ptime;
7288   t->time_step         = tsin->time_step;
7289   t->max_time          = tsin->max_time;
7290   t->steps             = tsin->steps;
7291   t->max_steps         = tsin->max_steps;
7292   t->equation_type     = tsin->equation_type;
7293   t->atol              = tsin->atol;
7294   t->rtol              = tsin->rtol;
7295   t->max_snes_failures = tsin->max_snes_failures;
7296   t->max_reject        = tsin->max_reject;
7297   t->errorifstepfailed = tsin->errorifstepfailed;
7298 
7299   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7300   ierr = TSSetType(t,type);CHKERRQ(ierr);
7301 
7302   t->vec_sol           = NULL;
7303 
7304   t->cfltime          = tsin->cfltime;
7305   t->cfltime_local    = tsin->cfltime_local;
7306   t->exact_final_time = tsin->exact_final_time;
7307 
7308   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7309 
7310   if (((PetscObject)tsin)->fortran_func_pointers) {
7311     PetscInt i;
7312     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7313     for (i=0; i<10; i++) {
7314       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7315     }
7316   }
7317   *tsout = t;
7318   PetscFunctionReturn(0);
7319 }
7320