xref: /petsc/src/ts/interface/ts.c (revision ea73f9d272377cf48e653e196e120b5857de3c28)
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, TSGLLE, 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       PetscBool skipHeader;
3516       PetscInt  classid = REAL_FILE_CLASSID;
3517 
3518       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3519       if (!skipHeader) {
3520          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3521        }
3522       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3523     } else {
3524       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3525     }
3526   }
3527   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3528   PetscFunctionReturn(0);
3529 }
3530 
3531 #undef __FUNCT__
3532 #define __FUNCT__ "TSAdjointMonitorSet"
3533 /*@C
3534    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3535    timestep to display the iteration's  progress.
3536 
3537    Logically Collective on TS
3538 
3539    Input Parameters:
3540 +  ts - the TS context obtained from TSCreate()
3541 .  adjointmonitor - monitoring routine
3542 .  adjointmctx - [optional] user-defined context for private data for the
3543              monitor routine (use NULL if no context is desired)
3544 -  adjointmonitordestroy - [optional] routine that frees monitor context
3545           (may be NULL)
3546 
3547    Calling sequence of monitor:
3548 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3549 
3550 +    ts - the TS context
3551 .    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
3552                                been interpolated to)
3553 .    time - current time
3554 .    u - current iterate
3555 .    numcost - number of cost functionos
3556 .    lambda - sensitivities to initial conditions
3557 .    mu - sensitivities to parameters
3558 -    adjointmctx - [optional] adjoint monitoring context
3559 
3560    Notes:
3561    This routine adds an additional monitor to the list of monitors that
3562    already has been loaded.
3563 
3564    Fortran notes: Only a single monitor function can be set for each TS object
3565 
3566    Level: intermediate
3567 
3568 .keywords: TS, timestep, set, adjoint, monitor
3569 
3570 .seealso: TSAdjointMonitorCancel()
3571 @*/
3572 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3573 {
3574   PetscErrorCode ierr;
3575   PetscInt       i;
3576   PetscBool      identical;
3577 
3578   PetscFunctionBegin;
3579   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3580   for (i=0; i<ts->numbermonitors;i++) {
3581     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3582     if (identical) PetscFunctionReturn(0);
3583   }
3584   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3585   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3586   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3587   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3588   PetscFunctionReturn(0);
3589 }
3590 
3591 #undef __FUNCT__
3592 #define __FUNCT__ "TSAdjointMonitorCancel"
3593 /*@C
3594    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3595 
3596    Logically Collective on TS
3597 
3598    Input Parameters:
3599 .  ts - the TS context obtained from TSCreate()
3600 
3601    Notes:
3602    There is no way to remove a single, specific monitor.
3603 
3604    Level: intermediate
3605 
3606 .keywords: TS, timestep, set, adjoint, monitor
3607 
3608 .seealso: TSAdjointMonitorSet()
3609 @*/
3610 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3611 {
3612   PetscErrorCode ierr;
3613   PetscInt       i;
3614 
3615   PetscFunctionBegin;
3616   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3617   for (i=0; i<ts->numberadjointmonitors; i++) {
3618     if (ts->adjointmonitordestroy[i]) {
3619       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3620     }
3621   }
3622   ts->numberadjointmonitors = 0;
3623   PetscFunctionReturn(0);
3624 }
3625 
3626 #undef __FUNCT__
3627 #define __FUNCT__ "TSAdjointMonitorDefault"
3628 /*@C
3629    TSAdjointMonitorDefault - the default monitor of adjoint computations
3630 
3631    Level: intermediate
3632 
3633 .keywords: TS, set, monitor
3634 
3635 .seealso: TSAdjointMonitorSet()
3636 @*/
3637 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3638 {
3639   PetscErrorCode ierr;
3640   PetscViewer    viewer = vf->viewer;
3641 
3642   PetscFunctionBegin;
3643   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3644   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3645   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3646   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3647   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3648   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3649   PetscFunctionReturn(0);
3650 }
3651 
3652 #undef __FUNCT__
3653 #define __FUNCT__ "TSInterpolate"
3654 /*@
3655    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3656 
3657    Collective on TS
3658 
3659    Input Argument:
3660 +  ts - time stepping context
3661 -  t - time to interpolate to
3662 
3663    Output Argument:
3664 .  U - state at given time
3665 
3666    Level: intermediate
3667 
3668    Developer Notes:
3669    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3670 
3671 .keywords: TS, set
3672 
3673 .seealso: TSSetExactFinalTime(), TSSolve()
3674 @*/
3675 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3676 {
3677   PetscErrorCode ierr;
3678 
3679   PetscFunctionBegin;
3680   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3681   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3682   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);
3683   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3684   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3685   PetscFunctionReturn(0);
3686 }
3687 
3688 #undef __FUNCT__
3689 #define __FUNCT__ "TSStep"
3690 /*@
3691    TSStep - Steps one time step
3692 
3693    Collective on TS
3694 
3695    Input Parameter:
3696 .  ts - the TS context obtained from TSCreate()
3697 
3698    Level: developer
3699 
3700    Notes:
3701    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3702 
3703    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3704    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3705 
3706    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3707    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3708 
3709 .keywords: TS, timestep, solve
3710 
3711 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3712 @*/
3713 PetscErrorCode  TSStep(TS ts)
3714 {
3715   PetscErrorCode   ierr;
3716   static PetscBool cite = PETSC_FALSE;
3717   PetscReal        ptime;
3718 
3719   PetscFunctionBegin;
3720   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3721   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3722                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3723                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3724                                 "  type        = {Preprint},\n"
3725                                 "  number      = {ANL/MCS-P5061-0114},\n"
3726                                 "  institution = {Argonne National Laboratory},\n"
3727                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3728 
3729   ierr = TSSetUp(ts);CHKERRQ(ierr);
3730   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3731 
3732   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()");
3733   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");
3734 
3735   if (!ts->steps) ts->ptime_prev = ts->ptime;
3736   ts->reason = TS_CONVERGED_ITERATING;
3737   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3738   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3739   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3740   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3741   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3742   ts->ptime_prev = ptime;
3743   ts->steps++; ts->total_steps++;
3744   ts->steprollback = PETSC_FALSE;
3745   ts->steprestart  = PETSC_FALSE;
3746 
3747   if (ts->reason < 0) {
3748     if (ts->errorifstepfailed) {
3749       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]);
3750       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3751     }
3752   } else if (!ts->reason) {
3753     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3754     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3755   }
3756   PetscFunctionReturn(0);
3757 }
3758 
3759 #undef __FUNCT__
3760 #define __FUNCT__ "TSAdjointStep"
3761 /*@
3762    TSAdjointStep - Steps one time step backward in the adjoint run
3763 
3764    Collective on TS
3765 
3766    Input Parameter:
3767 .  ts - the TS context obtained from TSCreate()
3768 
3769    Level: intermediate
3770 
3771 .keywords: TS, adjoint, step
3772 
3773 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3774 @*/
3775 PetscErrorCode  TSAdjointStep(TS ts)
3776 {
3777   DM               dm;
3778   PetscErrorCode   ierr;
3779 
3780   PetscFunctionBegin;
3781   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3782   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3783   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3784 
3785   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3786 
3787   ts->reason = TS_CONVERGED_ITERATING;
3788   ts->ptime_prev = ts->ptime;
3789   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);
3790   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3791   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3792   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3793   ts->steps++; ts->total_steps--;
3794 
3795   if (ts->reason < 0) {
3796     if (ts->errorifstepfailed) {
3797       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]);
3798       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]);
3799       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3800     }
3801   } else if (!ts->reason) {
3802     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3803   }
3804   PetscFunctionReturn(0);
3805 }
3806 
3807 #undef __FUNCT__
3808 #define __FUNCT__ "TSEvaluateWLTE"
3809 /*@
3810    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3811    at the end of a time step with a given order of accuracy.
3812 
3813    Collective on TS
3814 
3815    Input Arguments:
3816 +  ts - time stepping context
3817 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3818 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3819 
3820    Output Arguments:
3821 +  order - optional, the actual order of the error evaluation
3822 -  wlte - the weighted local truncation error norm
3823 
3824    Level: advanced
3825 
3826    Notes:
3827    If the timestepper cannot evaluate the error in a particular step
3828    (eg. in the first step or restart steps after event handling),
3829    this routine returns wlte=-1.0 .
3830 
3831 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3832 @*/
3833 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3834 {
3835   PetscErrorCode ierr;
3836 
3837   PetscFunctionBegin;
3838   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3839   PetscValidType(ts,1);
3840   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3841   if (order) PetscValidIntPointer(order,3);
3842   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3843   PetscValidRealPointer(wlte,4);
3844   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3845   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3846   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 #undef __FUNCT__
3851 #define __FUNCT__ "TSEvaluateStep"
3852 /*@
3853    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3854 
3855    Collective on TS
3856 
3857    Input Arguments:
3858 +  ts - time stepping context
3859 .  order - desired order of accuracy
3860 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3861 
3862    Output Arguments:
3863 .  U - state at the end of the current step
3864 
3865    Level: advanced
3866 
3867    Notes:
3868    This function cannot be called until all stages have been evaluated.
3869    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.
3870 
3871 .seealso: TSStep(), TSAdapt
3872 @*/
3873 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3874 {
3875   PetscErrorCode ierr;
3876 
3877   PetscFunctionBegin;
3878   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3879   PetscValidType(ts,1);
3880   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3881   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3882   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3883   PetscFunctionReturn(0);
3884 }
3885 
3886 #undef __FUNCT__
3887 #define __FUNCT__ "TSForwardCostIntegral"
3888 /*@
3889  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3890 
3891  Collective on TS
3892 
3893  Input Arguments:
3894  .  ts - time stepping context
3895 
3896  Level: advanced
3897 
3898  Notes:
3899  This function cannot be called until TSStep() has been completed.
3900 
3901  .seealso: TSSolve(), TSAdjointCostIntegral()
3902  @*/
3903 PetscErrorCode TSForwardCostIntegral(TS ts)
3904 {
3905     PetscErrorCode ierr;
3906     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3907     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);
3908     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3909     PetscFunctionReturn(0);
3910 }
3911 
3912 #undef __FUNCT__
3913 #define __FUNCT__ "TSSolve"
3914 /*@
3915    TSSolve - Steps the requested number of timesteps.
3916 
3917    Collective on TS
3918 
3919    Input Parameter:
3920 +  ts - the TS context obtained from TSCreate()
3921 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
3922                              otherwise must contain the initial conditions and will contain the solution at the final requested time
3923 
3924    Level: beginner
3925 
3926    Notes:
3927    The final time returned by this function may be different from the time of the internally
3928    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3929    stepped over the final time.
3930 
3931 .keywords: TS, timestep, solve
3932 
3933 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
3934 @*/
3935 PetscErrorCode TSSolve(TS ts,Vec u)
3936 {
3937   Vec               solution;
3938   PetscErrorCode    ierr;
3939 
3940   PetscFunctionBegin;
3941   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3942   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3943 
3944   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 */
3945     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3946     if (!ts->vec_sol || u == ts->vec_sol) {
3947       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3948       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3949       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3950     }
3951     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3952   } else if (u) {
3953     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3954   }
3955   ierr = TSSetUp(ts);CHKERRQ(ierr);
3956   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3957 
3958   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()");
3959   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");
3960 
3961   /* reset time step and iteration counters */
3962   ts->steps             = 0;
3963   ts->ksp_its           = 0;
3964   ts->snes_its          = 0;
3965   ts->num_snes_failures = 0;
3966   ts->reject            = 0;
3967   ts->reason            = TS_CONVERGED_ITERATING;
3968 
3969   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3970 
3971   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
3972     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3973     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3974     ts->solvetime = ts->ptime;
3975     solution = ts->vec_sol;
3976   } else { /* Step the requested number of timesteps. */
3977     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3978     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3979     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3980     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3981     ts->steprollback = PETSC_FALSE;
3982     ts->steprestart  = PETSC_TRUE;
3983 
3984     while (!ts->reason) {
3985       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3986       if (!ts->steprollback) {
3987         ierr = TSPreStep(ts);CHKERRQ(ierr);
3988       }
3989       ierr = TSStep(ts);CHKERRQ(ierr);
3990       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
3991         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
3992       }
3993       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. */
3994       if (!ts->steprollback) {
3995         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3996         ierr = TSPostStep(ts);CHKERRQ(ierr);
3997       }
3998     }
3999     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4000 
4001     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4002       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4003       ts->solvetime = ts->max_time;
4004       solution = u;
4005       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4006     } else {
4007       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4008       ts->solvetime = ts->ptime;
4009       solution = ts->vec_sol;
4010     }
4011   }
4012 
4013   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4014   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4015   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4016   if (ts->adjoint_solve) {
4017     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4018   }
4019   PetscFunctionReturn(0);
4020 }
4021 
4022 #undef __FUNCT__
4023 #define __FUNCT__ "TSAdjointCostIntegral"
4024 /*@
4025  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4026 
4027  Collective on TS
4028 
4029  Input Arguments:
4030  .  ts - time stepping context
4031 
4032  Level: advanced
4033 
4034  Notes:
4035  This function cannot be called until TSAdjointStep() has been completed.
4036 
4037  .seealso: TSAdjointSolve(), TSAdjointStep
4038  @*/
4039 PetscErrorCode TSAdjointCostIntegral(TS ts)
4040 {
4041     PetscErrorCode ierr;
4042     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4043     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);
4044     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4045     PetscFunctionReturn(0);
4046 }
4047 
4048 #undef __FUNCT__
4049 #define __FUNCT__ "TSAdjointSolve"
4050 /*@
4051    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4052 
4053    Collective on TS
4054 
4055    Input Parameter:
4056 .  ts - the TS context obtained from TSCreate()
4057 
4058    Options Database:
4059 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4060 
4061    Level: intermediate
4062 
4063    Notes:
4064    This must be called after a call to TSSolve() that solves the forward problem
4065 
4066    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4067 
4068 .keywords: TS, timestep, solve
4069 
4070 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4071 @*/
4072 PetscErrorCode TSAdjointSolve(TS ts)
4073 {
4074   PetscErrorCode    ierr;
4075 
4076   PetscFunctionBegin;
4077   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4078   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4079 
4080   /* reset time step and iteration counters */
4081   ts->steps             = 0;
4082   ts->ksp_its           = 0;
4083   ts->snes_its          = 0;
4084   ts->num_snes_failures = 0;
4085   ts->reject            = 0;
4086   ts->reason            = TS_CONVERGED_ITERATING;
4087 
4088   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4089 
4090   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4091   while (!ts->reason) {
4092     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4093     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4094     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4095     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4096     if (ts->vec_costintegral && !ts->costintegralfwd) {
4097       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4098     }
4099   }
4100   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4101   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4102   ts->solvetime = ts->ptime;
4103   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4104   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4105   PetscFunctionReturn(0);
4106 }
4107 
4108 #undef __FUNCT__
4109 #define __FUNCT__ "TSMonitor"
4110 /*@C
4111    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4112 
4113    Collective on TS
4114 
4115    Input Parameters:
4116 +  ts - time stepping context obtained from TSCreate()
4117 .  step - step number that has just completed
4118 .  ptime - model time of the state
4119 -  u - state at the current model time
4120 
4121    Notes:
4122    TSMonitor() is typically used automatically within the time stepping implementations.
4123    Users would almost never call this routine directly.
4124 
4125    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4126 
4127    Level: developer
4128 
4129 .keywords: TS, timestep
4130 @*/
4131 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4132 {
4133   DM             dm;
4134   PetscInt       i,n = ts->numbermonitors;
4135   PetscErrorCode ierr;
4136 
4137   PetscFunctionBegin;
4138   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4139   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4140 
4141   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4142   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4143 
4144   ierr = VecLockPush(u);CHKERRQ(ierr);
4145   for (i=0; i<n; i++) {
4146     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4147   }
4148   ierr = VecLockPop(u);CHKERRQ(ierr);
4149   PetscFunctionReturn(0);
4150 }
4151 
4152 #undef __FUNCT__
4153 #define __FUNCT__ "TSAdjointMonitor"
4154 /*@C
4155    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4156 
4157    Collective on TS
4158 
4159    Input Parameters:
4160 +  ts - time stepping context obtained from TSCreate()
4161 .  step - step number that has just completed
4162 .  ptime - model time of the state
4163 .  u - state at the current model time
4164 .  numcost - number of cost functions (dimension of lambda  or mu)
4165 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4166 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4167 
4168    Notes:
4169    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4170    Users would almost never call this routine directly.
4171 
4172    Level: developer
4173 
4174 .keywords: TS, timestep
4175 @*/
4176 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4177 {
4178   PetscErrorCode ierr;
4179   PetscInt       i,n = ts->numberadjointmonitors;
4180 
4181   PetscFunctionBegin;
4182   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4183   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4184   ierr = VecLockPush(u);CHKERRQ(ierr);
4185   for (i=0; i<n; i++) {
4186     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4187   }
4188   ierr = VecLockPop(u);CHKERRQ(ierr);
4189   PetscFunctionReturn(0);
4190 }
4191 
4192 /* ------------------------------------------------------------------------*/
4193 #undef __FUNCT__
4194 #define __FUNCT__ "TSMonitorLGCtxCreate"
4195 /*@C
4196    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4197    TS to monitor the solution process graphically in various ways
4198 
4199    Collective on TS
4200 
4201    Input Parameters:
4202 +  host - the X display to open, or null for the local machine
4203 .  label - the title to put in the title bar
4204 .  x, y - the screen coordinates of the upper left coordinate of the window
4205 .  m, n - the screen width and height in pixels
4206 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4207 
4208    Output Parameter:
4209 .  ctx - the context
4210 
4211    Options Database Key:
4212 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4213 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4214 .  -ts_monitor_lg_error -  monitor the error
4215 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4216 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4217 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4218 
4219    Notes:
4220    Use TSMonitorLGCtxDestroy() to destroy.
4221 
4222    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4223 
4224    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4225    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
4226    as the first argument.
4227 
4228    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4229 
4230 
4231    Level: intermediate
4232 
4233 .keywords: TS, monitor, line graph, residual
4234 
4235 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4236            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4237            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4238            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4239            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4240 
4241 @*/
4242 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4243 {
4244   PetscDraw      draw;
4245   PetscErrorCode ierr;
4246 
4247   PetscFunctionBegin;
4248   ierr = PetscNew(ctx);CHKERRQ(ierr);
4249   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4250   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4251   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4252   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4253   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4254   (*ctx)->howoften = howoften;
4255   PetscFunctionReturn(0);
4256 }
4257 
4258 #undef __FUNCT__
4259 #define __FUNCT__ "TSMonitorLGTimeStep"
4260 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4261 {
4262   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4263   PetscReal      x   = ptime,y;
4264   PetscErrorCode ierr;
4265 
4266   PetscFunctionBegin;
4267   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4268   if (!step) {
4269     PetscDrawAxis axis;
4270     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4271     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4272     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4273   }
4274   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4275   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4276   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4277     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4278     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4279   }
4280   PetscFunctionReturn(0);
4281 }
4282 
4283 #undef __FUNCT__
4284 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4285 /*@C
4286    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4287    with TSMonitorLGCtxCreate().
4288 
4289    Collective on TSMonitorLGCtx
4290 
4291    Input Parameter:
4292 .  ctx - the monitor context
4293 
4294    Level: intermediate
4295 
4296 .keywords: TS, monitor, line graph, destroy
4297 
4298 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4299 @*/
4300 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4301 {
4302   PetscErrorCode ierr;
4303 
4304   PetscFunctionBegin;
4305   if ((*ctx)->transformdestroy) {
4306     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4307   }
4308   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4309   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4310   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4311   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4312   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4313   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4314   PetscFunctionReturn(0);
4315 }
4316 
4317 #undef __FUNCT__
4318 #define __FUNCT__ "TSGetTime"
4319 /*@
4320    TSGetTime - Gets the time of the most recently completed step.
4321 
4322    Not Collective
4323 
4324    Input Parameter:
4325 .  ts - the TS context obtained from TSCreate()
4326 
4327    Output Parameter:
4328 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4329 
4330    Level: beginner
4331 
4332    Note:
4333    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4334    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4335 
4336 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4337 
4338 .keywords: TS, get, time
4339 @*/
4340 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4341 {
4342   PetscFunctionBegin;
4343   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4344   PetscValidRealPointer(t,2);
4345   *t = ts->ptime;
4346   PetscFunctionReturn(0);
4347 }
4348 
4349 #undef __FUNCT__
4350 #define __FUNCT__ "TSGetPrevTime"
4351 /*@
4352    TSGetPrevTime - Gets the starting time of the previously completed step.
4353 
4354    Not Collective
4355 
4356    Input Parameter:
4357 .  ts - the TS context obtained from TSCreate()
4358 
4359    Output Parameter:
4360 .  t  - the previous time
4361 
4362    Level: beginner
4363 
4364 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4365 
4366 .keywords: TS, get, time
4367 @*/
4368 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4369 {
4370   PetscFunctionBegin;
4371   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4372   PetscValidRealPointer(t,2);
4373   *t = ts->ptime_prev;
4374   PetscFunctionReturn(0);
4375 }
4376 
4377 #undef __FUNCT__
4378 #define __FUNCT__ "TSSetTime"
4379 /*@
4380    TSSetTime - Allows one to reset the time.
4381 
4382    Logically Collective on TS
4383 
4384    Input Parameters:
4385 +  ts - the TS context obtained from TSCreate()
4386 -  time - the time
4387 
4388    Level: intermediate
4389 
4390 .seealso: TSGetTime(), TSSetDuration()
4391 
4392 .keywords: TS, set, time
4393 @*/
4394 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4395 {
4396   PetscFunctionBegin;
4397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4398   PetscValidLogicalCollectiveReal(ts,t,2);
4399   ts->ptime = t;
4400   PetscFunctionReturn(0);
4401 }
4402 
4403 #undef __FUNCT__
4404 #define __FUNCT__ "TSSetOptionsPrefix"
4405 /*@C
4406    TSSetOptionsPrefix - Sets the prefix used for searching for all
4407    TS options in the database.
4408 
4409    Logically Collective on TS
4410 
4411    Input Parameter:
4412 +  ts     - The TS context
4413 -  prefix - The prefix to prepend to all option names
4414 
4415    Notes:
4416    A hyphen (-) must NOT be given at the beginning of the prefix name.
4417    The first character of all runtime options is AUTOMATICALLY the
4418    hyphen.
4419 
4420    Level: advanced
4421 
4422 .keywords: TS, set, options, prefix, database
4423 
4424 .seealso: TSSetFromOptions()
4425 
4426 @*/
4427 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4428 {
4429   PetscErrorCode ierr;
4430   SNES           snes;
4431 
4432   PetscFunctionBegin;
4433   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4434   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4435   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4436   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4437   PetscFunctionReturn(0);
4438 }
4439 
4440 
4441 #undef __FUNCT__
4442 #define __FUNCT__ "TSAppendOptionsPrefix"
4443 /*@C
4444    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4445    TS options in the database.
4446 
4447    Logically Collective on TS
4448 
4449    Input Parameter:
4450 +  ts     - The TS context
4451 -  prefix - The prefix to prepend to all option names
4452 
4453    Notes:
4454    A hyphen (-) must NOT be given at the beginning of the prefix name.
4455    The first character of all runtime options is AUTOMATICALLY the
4456    hyphen.
4457 
4458    Level: advanced
4459 
4460 .keywords: TS, append, options, prefix, database
4461 
4462 .seealso: TSGetOptionsPrefix()
4463 
4464 @*/
4465 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4466 {
4467   PetscErrorCode ierr;
4468   SNES           snes;
4469 
4470   PetscFunctionBegin;
4471   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4472   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4473   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4474   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4475   PetscFunctionReturn(0);
4476 }
4477 
4478 #undef __FUNCT__
4479 #define __FUNCT__ "TSGetOptionsPrefix"
4480 /*@C
4481    TSGetOptionsPrefix - Sets the prefix used for searching for all
4482    TS options in the database.
4483 
4484    Not Collective
4485 
4486    Input Parameter:
4487 .  ts - The TS context
4488 
4489    Output Parameter:
4490 .  prefix - A pointer to the prefix string used
4491 
4492    Notes: On the fortran side, the user should pass in a string 'prifix' of
4493    sufficient length to hold the prefix.
4494 
4495    Level: intermediate
4496 
4497 .keywords: TS, get, options, prefix, database
4498 
4499 .seealso: TSAppendOptionsPrefix()
4500 @*/
4501 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4502 {
4503   PetscErrorCode ierr;
4504 
4505   PetscFunctionBegin;
4506   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4507   PetscValidPointer(prefix,2);
4508   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4509   PetscFunctionReturn(0);
4510 }
4511 
4512 #undef __FUNCT__
4513 #define __FUNCT__ "TSGetRHSJacobian"
4514 /*@C
4515    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4516 
4517    Not Collective, but parallel objects are returned if TS is parallel
4518 
4519    Input Parameter:
4520 .  ts  - The TS context obtained from TSCreate()
4521 
4522    Output Parameters:
4523 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4524 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4525 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4526 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4527 
4528    Notes: You can pass in NULL for any return argument you do not need.
4529 
4530    Level: intermediate
4531 
4532 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4533 
4534 .keywords: TS, timestep, get, matrix, Jacobian
4535 @*/
4536 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4537 {
4538   PetscErrorCode ierr;
4539   SNES           snes;
4540   DM             dm;
4541 
4542   PetscFunctionBegin;
4543   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4544   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4545   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4546   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4547   PetscFunctionReturn(0);
4548 }
4549 
4550 #undef __FUNCT__
4551 #define __FUNCT__ "TSGetIJacobian"
4552 /*@C
4553    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4554 
4555    Not Collective, but parallel objects are returned if TS is parallel
4556 
4557    Input Parameter:
4558 .  ts  - The TS context obtained from TSCreate()
4559 
4560    Output Parameters:
4561 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4562 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4563 .  f   - The function to compute the matrices
4564 - ctx - User-defined context for Jacobian evaluation routine
4565 
4566    Notes: You can pass in NULL for any return argument you do not need.
4567 
4568    Level: advanced
4569 
4570 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4571 
4572 .keywords: TS, timestep, get, matrix, Jacobian
4573 @*/
4574 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4575 {
4576   PetscErrorCode ierr;
4577   SNES           snes;
4578   DM             dm;
4579 
4580   PetscFunctionBegin;
4581   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4582   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4583   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4584   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4585   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4586   PetscFunctionReturn(0);
4587 }
4588 
4589 
4590 #undef __FUNCT__
4591 #define __FUNCT__ "TSMonitorDrawSolution"
4592 /*@C
4593    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4594    VecView() for the solution at each timestep
4595 
4596    Collective on TS
4597 
4598    Input Parameters:
4599 +  ts - the TS context
4600 .  step - current time-step
4601 .  ptime - current time
4602 -  dummy - either a viewer or NULL
4603 
4604    Options Database:
4605 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4606 
4607    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4608        will look bad
4609 
4610    Level: intermediate
4611 
4612 .keywords: TS,  vector, monitor, view
4613 
4614 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4615 @*/
4616 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4617 {
4618   PetscErrorCode   ierr;
4619   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4620   PetscDraw        draw;
4621 
4622   PetscFunctionBegin;
4623   if (!step && ictx->showinitial) {
4624     if (!ictx->initialsolution) {
4625       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4626     }
4627     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4628   }
4629   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4630 
4631   if (ictx->showinitial) {
4632     PetscReal pause;
4633     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4634     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4635     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4636     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4637     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4638   }
4639   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4640   if (ictx->showtimestepandtime) {
4641     PetscReal xl,yl,xr,yr,h;
4642     char      time[32];
4643 
4644     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4645     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4646     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4647     h    = yl + .95*(yr - yl);
4648     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4649     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4650   }
4651 
4652   if (ictx->showinitial) {
4653     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4654   }
4655   PetscFunctionReturn(0);
4656 }
4657 
4658 #undef __FUNCT__
4659 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4660 /*@C
4661    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4662    VecView() for the sensitivities to initial states at each timestep
4663 
4664    Collective on TS
4665 
4666    Input Parameters:
4667 +  ts - the TS context
4668 .  step - current time-step
4669 .  ptime - current time
4670 .  u - current state
4671 .  numcost - number of cost functions
4672 .  lambda - sensitivities to initial conditions
4673 .  mu - sensitivities to parameters
4674 -  dummy - either a viewer or NULL
4675 
4676    Level: intermediate
4677 
4678 .keywords: TS,  vector, adjoint, monitor, view
4679 
4680 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4681 @*/
4682 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4683 {
4684   PetscErrorCode   ierr;
4685   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4686   PetscDraw        draw;
4687   PetscReal        xl,yl,xr,yr,h;
4688   char             time[32];
4689 
4690   PetscFunctionBegin;
4691   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4692 
4693   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4694   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4695   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4696   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4697   h    = yl + .95*(yr - yl);
4698   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4699   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4700   PetscFunctionReturn(0);
4701 }
4702 
4703 #undef __FUNCT__
4704 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4705 /*@C
4706    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4707 
4708    Collective on TS
4709 
4710    Input Parameters:
4711 +  ts - the TS context
4712 .  step - current time-step
4713 .  ptime - current time
4714 -  dummy - either a viewer or NULL
4715 
4716    Level: intermediate
4717 
4718 .keywords: TS,  vector, monitor, view
4719 
4720 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4721 @*/
4722 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4723 {
4724   PetscErrorCode    ierr;
4725   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4726   PetscDraw         draw;
4727   PetscDrawAxis     axis;
4728   PetscInt          n;
4729   PetscMPIInt       size;
4730   PetscReal         U0,U1,xl,yl,xr,yr,h;
4731   char              time[32];
4732   const PetscScalar *U;
4733 
4734   PetscFunctionBegin;
4735   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4736   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4737   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4738   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4739 
4740   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4741   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4742   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4743   if (!step) {
4744     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4745     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4746   }
4747 
4748   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4749   U0 = PetscRealPart(U[0]);
4750   U1 = PetscRealPart(U[1]);
4751   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4752   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4753 
4754   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4755   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4756   if (ictx->showtimestepandtime) {
4757     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4758     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4759     h    = yl + .95*(yr - yl);
4760     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4761   }
4762   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4763   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4764   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4765   PetscFunctionReturn(0);
4766 }
4767 
4768 
4769 #undef __FUNCT__
4770 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4771 /*@C
4772    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4773 
4774    Collective on TS
4775 
4776    Input Parameters:
4777 .    ctx - the monitor context
4778 
4779    Level: intermediate
4780 
4781 .keywords: TS,  vector, monitor, view
4782 
4783 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4784 @*/
4785 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4786 {
4787   PetscErrorCode ierr;
4788 
4789   PetscFunctionBegin;
4790   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4791   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4792   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4793   PetscFunctionReturn(0);
4794 }
4795 
4796 #undef __FUNCT__
4797 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4798 /*@C
4799    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4800 
4801    Collective on TS
4802 
4803    Input Parameter:
4804 .    ts - time-step context
4805 
4806    Output Patameter:
4807 .    ctx - the monitor context
4808 
4809    Options Database:
4810 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4811 
4812    Level: intermediate
4813 
4814 .keywords: TS,  vector, monitor, view
4815 
4816 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4817 @*/
4818 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4819 {
4820   PetscErrorCode   ierr;
4821 
4822   PetscFunctionBegin;
4823   ierr = PetscNew(ctx);CHKERRQ(ierr);
4824   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4825   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4826 
4827   (*ctx)->howoften    = howoften;
4828   (*ctx)->showinitial = PETSC_FALSE;
4829   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4830 
4831   (*ctx)->showtimestepandtime = PETSC_FALSE;
4832   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4833   PetscFunctionReturn(0);
4834 }
4835 
4836 #undef __FUNCT__
4837 #define __FUNCT__ "TSMonitorDrawError"
4838 /*@C
4839    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4840    VecView() for the error at each timestep
4841 
4842    Collective on TS
4843 
4844    Input Parameters:
4845 +  ts - the TS context
4846 .  step - current time-step
4847 .  ptime - current time
4848 -  dummy - either a viewer or NULL
4849 
4850    Level: intermediate
4851 
4852 .keywords: TS,  vector, monitor, view
4853 
4854 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4855 @*/
4856 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4857 {
4858   PetscErrorCode   ierr;
4859   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4860   PetscViewer      viewer = ctx->viewer;
4861   Vec              work;
4862 
4863   PetscFunctionBegin;
4864   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4865   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4866   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4867   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4868   ierr = VecView(work,viewer);CHKERRQ(ierr);
4869   ierr = VecDestroy(&work);CHKERRQ(ierr);
4870   PetscFunctionReturn(0);
4871 }
4872 
4873 #include <petsc/private/dmimpl.h>
4874 #undef __FUNCT__
4875 #define __FUNCT__ "TSSetDM"
4876 /*@
4877    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4878 
4879    Logically Collective on TS and DM
4880 
4881    Input Parameters:
4882 +  ts - the ODE integrator object
4883 -  dm - the dm, cannot be NULL
4884 
4885    Level: intermediate
4886 
4887 
4888 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4889 @*/
4890 PetscErrorCode  TSSetDM(TS ts,DM dm)
4891 {
4892   PetscErrorCode ierr;
4893   SNES           snes;
4894   DMTS           tsdm;
4895 
4896   PetscFunctionBegin;
4897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4898   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
4899   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4900   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4901     if (ts->dm->dmts && !dm->dmts) {
4902       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4903       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4904       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4905         tsdm->originaldm = dm;
4906       }
4907     }
4908     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4909   }
4910   ts->dm = dm;
4911 
4912   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4913   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4914   PetscFunctionReturn(0);
4915 }
4916 
4917 #undef __FUNCT__
4918 #define __FUNCT__ "TSGetDM"
4919 /*@
4920    TSGetDM - Gets the DM that may be used by some preconditioners
4921 
4922    Not Collective
4923 
4924    Input Parameter:
4925 . ts - the preconditioner context
4926 
4927    Output Parameter:
4928 .  dm - the dm
4929 
4930    Level: intermediate
4931 
4932 
4933 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4934 @*/
4935 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4936 {
4937   PetscErrorCode ierr;
4938 
4939   PetscFunctionBegin;
4940   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4941   if (!ts->dm) {
4942     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4943     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4944   }
4945   *dm = ts->dm;
4946   PetscFunctionReturn(0);
4947 }
4948 
4949 #undef __FUNCT__
4950 #define __FUNCT__ "SNESTSFormFunction"
4951 /*@
4952    SNESTSFormFunction - Function to evaluate nonlinear residual
4953 
4954    Logically Collective on SNES
4955 
4956    Input Parameter:
4957 + snes - nonlinear solver
4958 . U - the current state at which to evaluate the residual
4959 - ctx - user context, must be a TS
4960 
4961    Output Parameter:
4962 . F - the nonlinear residual
4963 
4964    Notes:
4965    This function is not normally called by users and is automatically registered with the SNES used by TS.
4966    It is most frequently passed to MatFDColoringSetFunction().
4967 
4968    Level: advanced
4969 
4970 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4971 @*/
4972 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4973 {
4974   TS             ts = (TS)ctx;
4975   PetscErrorCode ierr;
4976 
4977   PetscFunctionBegin;
4978   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4979   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4980   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4981   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4982   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4983   PetscFunctionReturn(0);
4984 }
4985 
4986 #undef __FUNCT__
4987 #define __FUNCT__ "SNESTSFormJacobian"
4988 /*@
4989    SNESTSFormJacobian - Function to evaluate the Jacobian
4990 
4991    Collective on SNES
4992 
4993    Input Parameter:
4994 + snes - nonlinear solver
4995 . U - the current state at which to evaluate the residual
4996 - ctx - user context, must be a TS
4997 
4998    Output Parameter:
4999 + A - the Jacobian
5000 . B - the preconditioning matrix (may be the same as A)
5001 - flag - indicates any structure change in the matrix
5002 
5003    Notes:
5004    This function is not normally called by users and is automatically registered with the SNES used by TS.
5005 
5006    Level: developer
5007 
5008 .seealso: SNESSetJacobian()
5009 @*/
5010 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5011 {
5012   TS             ts = (TS)ctx;
5013   PetscErrorCode ierr;
5014 
5015   PetscFunctionBegin;
5016   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5017   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5018   PetscValidPointer(A,3);
5019   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5020   PetscValidPointer(B,4);
5021   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5022   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5023   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5024   PetscFunctionReturn(0);
5025 }
5026 
5027 #undef __FUNCT__
5028 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5029 /*@C
5030    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5031 
5032    Collective on TS
5033 
5034    Input Arguments:
5035 +  ts - time stepping context
5036 .  t - time at which to evaluate
5037 .  U - state at which to evaluate
5038 -  ctx - context
5039 
5040    Output Arguments:
5041 .  F - right hand side
5042 
5043    Level: intermediate
5044 
5045    Notes:
5046    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5047    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5048 
5049 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5050 @*/
5051 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5052 {
5053   PetscErrorCode ierr;
5054   Mat            Arhs,Brhs;
5055 
5056   PetscFunctionBegin;
5057   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5058   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5059   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5060   PetscFunctionReturn(0);
5061 }
5062 
5063 #undef __FUNCT__
5064 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5065 /*@C
5066    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5067 
5068    Collective on TS
5069 
5070    Input Arguments:
5071 +  ts - time stepping context
5072 .  t - time at which to evaluate
5073 .  U - state at which to evaluate
5074 -  ctx - context
5075 
5076    Output Arguments:
5077 +  A - pointer to operator
5078 .  B - pointer to preconditioning matrix
5079 -  flg - matrix structure flag
5080 
5081    Level: intermediate
5082 
5083    Notes:
5084    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5085 
5086 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5087 @*/
5088 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5089 {
5090   PetscFunctionBegin;
5091   PetscFunctionReturn(0);
5092 }
5093 
5094 #undef __FUNCT__
5095 #define __FUNCT__ "TSComputeIFunctionLinear"
5096 /*@C
5097    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5098 
5099    Collective on TS
5100 
5101    Input Arguments:
5102 +  ts - time stepping context
5103 .  t - time at which to evaluate
5104 .  U - state at which to evaluate
5105 .  Udot - time derivative of state vector
5106 -  ctx - context
5107 
5108    Output Arguments:
5109 .  F - left hand side
5110 
5111    Level: intermediate
5112 
5113    Notes:
5114    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
5115    user is required to write their own TSComputeIFunction.
5116    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5117    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5118 
5119    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5120 
5121 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5122 @*/
5123 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5124 {
5125   PetscErrorCode ierr;
5126   Mat            A,B;
5127 
5128   PetscFunctionBegin;
5129   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5130   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5131   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5132   PetscFunctionReturn(0);
5133 }
5134 
5135 #undef __FUNCT__
5136 #define __FUNCT__ "TSComputeIJacobianConstant"
5137 /*@C
5138    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5139 
5140    Collective on TS
5141 
5142    Input Arguments:
5143 +  ts - time stepping context
5144 .  t - time at which to evaluate
5145 .  U - state at which to evaluate
5146 .  Udot - time derivative of state vector
5147 .  shift - shift to apply
5148 -  ctx - context
5149 
5150    Output Arguments:
5151 +  A - pointer to operator
5152 .  B - pointer to preconditioning matrix
5153 -  flg - matrix structure flag
5154 
5155    Level: advanced
5156 
5157    Notes:
5158    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5159 
5160    It is only appropriate for problems of the form
5161 
5162 $     M Udot = F(U,t)
5163 
5164   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5165   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5166   an implicit operator of the form
5167 
5168 $    shift*M + J
5169 
5170   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
5171   a copy of M or reassemble it when requested.
5172 
5173 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5174 @*/
5175 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5176 {
5177   PetscErrorCode ierr;
5178 
5179   PetscFunctionBegin;
5180   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5181   ts->ijacobian.shift = shift;
5182   PetscFunctionReturn(0);
5183 }
5184 
5185 #undef __FUNCT__
5186 #define __FUNCT__ "TSGetEquationType"
5187 /*@
5188    TSGetEquationType - Gets the type of the equation that TS is solving.
5189 
5190    Not Collective
5191 
5192    Input Parameter:
5193 .  ts - the TS context
5194 
5195    Output Parameter:
5196 .  equation_type - see TSEquationType
5197 
5198    Level: beginner
5199 
5200 .keywords: TS, equation type
5201 
5202 .seealso: TSSetEquationType(), TSEquationType
5203 @*/
5204 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5205 {
5206   PetscFunctionBegin;
5207   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5208   PetscValidPointer(equation_type,2);
5209   *equation_type = ts->equation_type;
5210   PetscFunctionReturn(0);
5211 }
5212 
5213 #undef __FUNCT__
5214 #define __FUNCT__ "TSSetEquationType"
5215 /*@
5216    TSSetEquationType - Sets the type of the equation that TS is solving.
5217 
5218    Not Collective
5219 
5220    Input Parameter:
5221 +  ts - the TS context
5222 -  equation_type - see TSEquationType
5223 
5224    Level: advanced
5225 
5226 .keywords: TS, equation type
5227 
5228 .seealso: TSGetEquationType(), TSEquationType
5229 @*/
5230 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5231 {
5232   PetscFunctionBegin;
5233   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5234   ts->equation_type = equation_type;
5235   PetscFunctionReturn(0);
5236 }
5237 
5238 #undef __FUNCT__
5239 #define __FUNCT__ "TSGetConvergedReason"
5240 /*@
5241    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5242 
5243    Not Collective
5244 
5245    Input Parameter:
5246 .  ts - the TS context
5247 
5248    Output Parameter:
5249 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5250             manual pages for the individual convergence tests for complete lists
5251 
5252    Level: beginner
5253 
5254    Notes:
5255    Can only be called after the call to TSSolve() is complete.
5256 
5257 .keywords: TS, nonlinear, set, convergence, test
5258 
5259 .seealso: TSSetConvergenceTest(), TSConvergedReason
5260 @*/
5261 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5262 {
5263   PetscFunctionBegin;
5264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5265   PetscValidPointer(reason,2);
5266   *reason = ts->reason;
5267   PetscFunctionReturn(0);
5268 }
5269 
5270 #undef __FUNCT__
5271 #define __FUNCT__ "TSSetConvergedReason"
5272 /*@
5273    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5274 
5275    Not Collective
5276 
5277    Input Parameter:
5278 +  ts - the TS context
5279 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5280             manual pages for the individual convergence tests for complete lists
5281 
5282    Level: advanced
5283 
5284    Notes:
5285    Can only be called during TSSolve() is active.
5286 
5287 .keywords: TS, nonlinear, set, convergence, test
5288 
5289 .seealso: TSConvergedReason
5290 @*/
5291 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5292 {
5293   PetscFunctionBegin;
5294   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5295   ts->reason = reason;
5296   PetscFunctionReturn(0);
5297 }
5298 
5299 #undef __FUNCT__
5300 #define __FUNCT__ "TSGetSolveTime"
5301 /*@
5302    TSGetSolveTime - Gets the time after a call to TSSolve()
5303 
5304    Not Collective
5305 
5306    Input Parameter:
5307 .  ts - the TS context
5308 
5309    Output Parameter:
5310 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5311 
5312    Level: beginner
5313 
5314    Notes:
5315    Can only be called after the call to TSSolve() is complete.
5316 
5317 .keywords: TS, nonlinear, set, convergence, test
5318 
5319 .seealso: TSSetConvergenceTest(), TSConvergedReason
5320 @*/
5321 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5322 {
5323   PetscFunctionBegin;
5324   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5325   PetscValidPointer(ftime,2);
5326   *ftime = ts->solvetime;
5327   PetscFunctionReturn(0);
5328 }
5329 
5330 #undef __FUNCT__
5331 #define __FUNCT__ "TSGetTotalSteps"
5332 /*@
5333    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5334 
5335    Not Collective
5336 
5337    Input Parameter:
5338 .  ts - the TS context
5339 
5340    Output Parameter:
5341 .  steps - the number of steps
5342 
5343    Level: beginner
5344 
5345    Notes:
5346    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5347 
5348 .keywords: TS, nonlinear, set, convergence, test
5349 
5350 .seealso: TSSetConvergenceTest(), TSConvergedReason
5351 @*/
5352 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5353 {
5354   PetscFunctionBegin;
5355   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5356   PetscValidPointer(steps,2);
5357   *steps = ts->total_steps;
5358   PetscFunctionReturn(0);
5359 }
5360 
5361 #undef __FUNCT__
5362 #define __FUNCT__ "TSGetSNESIterations"
5363 /*@
5364    TSGetSNESIterations - Gets the total number of nonlinear iterations
5365    used by the time integrator.
5366 
5367    Not Collective
5368 
5369    Input Parameter:
5370 .  ts - TS context
5371 
5372    Output Parameter:
5373 .  nits - number of nonlinear iterations
5374 
5375    Notes:
5376    This counter is reset to zero for each successive call to TSSolve().
5377 
5378    Level: intermediate
5379 
5380 .keywords: TS, get, number, nonlinear, iterations
5381 
5382 .seealso:  TSGetKSPIterations()
5383 @*/
5384 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5385 {
5386   PetscFunctionBegin;
5387   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5388   PetscValidIntPointer(nits,2);
5389   *nits = ts->snes_its;
5390   PetscFunctionReturn(0);
5391 }
5392 
5393 #undef __FUNCT__
5394 #define __FUNCT__ "TSGetKSPIterations"
5395 /*@
5396    TSGetKSPIterations - Gets the total number of linear iterations
5397    used by the time integrator.
5398 
5399    Not Collective
5400 
5401    Input Parameter:
5402 .  ts - TS context
5403 
5404    Output Parameter:
5405 .  lits - number of linear iterations
5406 
5407    Notes:
5408    This counter is reset to zero for each successive call to TSSolve().
5409 
5410    Level: intermediate
5411 
5412 .keywords: TS, get, number, linear, iterations
5413 
5414 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5415 @*/
5416 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5417 {
5418   PetscFunctionBegin;
5419   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5420   PetscValidIntPointer(lits,2);
5421   *lits = ts->ksp_its;
5422   PetscFunctionReturn(0);
5423 }
5424 
5425 #undef __FUNCT__
5426 #define __FUNCT__ "TSGetStepRejections"
5427 /*@
5428    TSGetStepRejections - Gets the total number of rejected steps.
5429 
5430    Not Collective
5431 
5432    Input Parameter:
5433 .  ts - TS context
5434 
5435    Output Parameter:
5436 .  rejects - number of steps rejected
5437 
5438    Notes:
5439    This counter is reset to zero for each successive call to TSSolve().
5440 
5441    Level: intermediate
5442 
5443 .keywords: TS, get, number
5444 
5445 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5446 @*/
5447 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5448 {
5449   PetscFunctionBegin;
5450   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5451   PetscValidIntPointer(rejects,2);
5452   *rejects = ts->reject;
5453   PetscFunctionReturn(0);
5454 }
5455 
5456 #undef __FUNCT__
5457 #define __FUNCT__ "TSGetSNESFailures"
5458 /*@
5459    TSGetSNESFailures - Gets the total number of failed SNES solves
5460 
5461    Not Collective
5462 
5463    Input Parameter:
5464 .  ts - TS context
5465 
5466    Output Parameter:
5467 .  fails - number of failed nonlinear solves
5468 
5469    Notes:
5470    This counter is reset to zero for each successive call to TSSolve().
5471 
5472    Level: intermediate
5473 
5474 .keywords: TS, get, number
5475 
5476 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5477 @*/
5478 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5479 {
5480   PetscFunctionBegin;
5481   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5482   PetscValidIntPointer(fails,2);
5483   *fails = ts->num_snes_failures;
5484   PetscFunctionReturn(0);
5485 }
5486 
5487 #undef __FUNCT__
5488 #define __FUNCT__ "TSSetMaxStepRejections"
5489 /*@
5490    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5491 
5492    Not Collective
5493 
5494    Input Parameter:
5495 +  ts - TS context
5496 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5497 
5498    Notes:
5499    The counter is reset to zero for each step
5500 
5501    Options Database Key:
5502  .  -ts_max_reject - Maximum number of step rejections before a step fails
5503 
5504    Level: intermediate
5505 
5506 .keywords: TS, set, maximum, number
5507 
5508 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5509 @*/
5510 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5511 {
5512   PetscFunctionBegin;
5513   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5514   ts->max_reject = rejects;
5515   PetscFunctionReturn(0);
5516 }
5517 
5518 #undef __FUNCT__
5519 #define __FUNCT__ "TSSetMaxSNESFailures"
5520 /*@
5521    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5522 
5523    Not Collective
5524 
5525    Input Parameter:
5526 +  ts - TS context
5527 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5528 
5529    Notes:
5530    The counter is reset to zero for each successive call to TSSolve().
5531 
5532    Options Database Key:
5533  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5534 
5535    Level: intermediate
5536 
5537 .keywords: TS, set, maximum, number
5538 
5539 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5540 @*/
5541 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5542 {
5543   PetscFunctionBegin;
5544   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5545   ts->max_snes_failures = fails;
5546   PetscFunctionReturn(0);
5547 }
5548 
5549 #undef __FUNCT__
5550 #define __FUNCT__ "TSSetErrorIfStepFails"
5551 /*@
5552    TSSetErrorIfStepFails - Error if no step succeeds
5553 
5554    Not Collective
5555 
5556    Input Parameter:
5557 +  ts - TS context
5558 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5559 
5560    Options Database Key:
5561  .  -ts_error_if_step_fails - Error if no step succeeds
5562 
5563    Level: intermediate
5564 
5565 .keywords: TS, set, error
5566 
5567 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5568 @*/
5569 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5570 {
5571   PetscFunctionBegin;
5572   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5573   ts->errorifstepfailed = err;
5574   PetscFunctionReturn(0);
5575 }
5576 
5577 #undef __FUNCT__
5578 #define __FUNCT__ "TSMonitorSolution"
5579 /*@C
5580    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
5581 
5582    Collective on TS
5583 
5584    Input Parameters:
5585 +  ts - the TS context
5586 .  step - current time-step
5587 .  ptime - current time
5588 .  u - current state
5589 -  vf - viewer and its format
5590 
5591    Level: intermediate
5592 
5593 .keywords: TS,  vector, monitor, view
5594 
5595 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5596 @*/
5597 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5598 {
5599   PetscErrorCode ierr;
5600 
5601   PetscFunctionBegin;
5602   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5603   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5604   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5605   PetscFunctionReturn(0);
5606 }
5607 
5608 #undef __FUNCT__
5609 #define __FUNCT__ "TSMonitorSolutionVTK"
5610 /*@C
5611    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5612 
5613    Collective on TS
5614 
5615    Input Parameters:
5616 +  ts - the TS context
5617 .  step - current time-step
5618 .  ptime - current time
5619 .  u - current state
5620 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5621 
5622    Level: intermediate
5623 
5624    Notes:
5625    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.
5626    These are named according to the file name template.
5627 
5628    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5629 
5630 .keywords: TS,  vector, monitor, view
5631 
5632 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5633 @*/
5634 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5635 {
5636   PetscErrorCode ierr;
5637   char           filename[PETSC_MAX_PATH_LEN];
5638   PetscViewer    viewer;
5639 
5640   PetscFunctionBegin;
5641   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5642   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5643   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5644   ierr = VecView(u,viewer);CHKERRQ(ierr);
5645   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5646   PetscFunctionReturn(0);
5647 }
5648 
5649 #undef __FUNCT__
5650 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5651 /*@C
5652    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5653 
5654    Collective on TS
5655 
5656    Input Parameters:
5657 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5658 
5659    Level: intermediate
5660 
5661    Note:
5662    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5663 
5664 .keywords: TS,  vector, monitor, view
5665 
5666 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5667 @*/
5668 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5669 {
5670   PetscErrorCode ierr;
5671 
5672   PetscFunctionBegin;
5673   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5674   PetscFunctionReturn(0);
5675 }
5676 
5677 #undef __FUNCT__
5678 #define __FUNCT__ "TSGetAdapt"
5679 /*@
5680    TSGetAdapt - Get the adaptive controller context for the current method
5681 
5682    Collective on TS if controller has not been created yet
5683 
5684    Input Arguments:
5685 .  ts - time stepping context
5686 
5687    Output Arguments:
5688 .  adapt - adaptive controller
5689 
5690    Level: intermediate
5691 
5692 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5693 @*/
5694 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5695 {
5696   PetscErrorCode ierr;
5697 
5698   PetscFunctionBegin;
5699   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5700   PetscValidPointer(adapt,2);
5701   if (!ts->adapt) {
5702     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5703     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5704     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5705   }
5706   *adapt = ts->adapt;
5707   PetscFunctionReturn(0);
5708 }
5709 
5710 #undef __FUNCT__
5711 #define __FUNCT__ "TSSetTolerances"
5712 /*@
5713    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5714 
5715    Logically Collective
5716 
5717    Input Arguments:
5718 +  ts - time integration context
5719 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5720 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5721 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5722 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5723 
5724    Options Database keys:
5725 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5726 -  -ts_atol <atol> Absolute tolerance for local truncation error
5727 
5728    Notes:
5729    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5730    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5731    computed only for the differential or the algebraic part then this can be done using the vector of
5732    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5733    differential part and infinity for the algebraic part, the LTE calculation will include only the
5734    differential variables.
5735 
5736    Level: beginner
5737 
5738 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5739 @*/
5740 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5741 {
5742   PetscErrorCode ierr;
5743 
5744   PetscFunctionBegin;
5745   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5746   if (vatol) {
5747     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5748     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5749     ts->vatol = vatol;
5750   }
5751   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5752   if (vrtol) {
5753     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5754     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5755     ts->vrtol = vrtol;
5756   }
5757   PetscFunctionReturn(0);
5758 }
5759 
5760 #undef __FUNCT__
5761 #define __FUNCT__ "TSGetTolerances"
5762 /*@
5763    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5764 
5765    Logically Collective
5766 
5767    Input Arguments:
5768 .  ts - time integration context
5769 
5770    Output Arguments:
5771 +  atol - scalar absolute tolerances, NULL to ignore
5772 .  vatol - vector of absolute tolerances, NULL to ignore
5773 .  rtol - scalar relative tolerances, NULL to ignore
5774 -  vrtol - vector of relative tolerances, NULL to ignore
5775 
5776    Level: beginner
5777 
5778 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5779 @*/
5780 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5781 {
5782   PetscFunctionBegin;
5783   if (atol)  *atol  = ts->atol;
5784   if (vatol) *vatol = ts->vatol;
5785   if (rtol)  *rtol  = ts->rtol;
5786   if (vrtol) *vrtol = ts->vrtol;
5787   PetscFunctionReturn(0);
5788 }
5789 
5790 #undef __FUNCT__
5791 #define __FUNCT__ "TSErrorWeightedNorm2"
5792 /*@
5793    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5794 
5795    Collective on TS
5796 
5797    Input Arguments:
5798 +  ts - time stepping context
5799 .  U - state vector, usually ts->vec_sol
5800 -  Y - state vector to be compared to U
5801 
5802    Output Arguments:
5803 .  norm - weighted norm, a value of 1.0 is considered small
5804 
5805    Level: developer
5806 
5807 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5808 @*/
5809 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5810 {
5811   PetscErrorCode    ierr;
5812   PetscInt          i,n,N,rstart;
5813   const PetscScalar *u,*y;
5814   PetscReal         sum,gsum;
5815   PetscReal         tol;
5816 
5817   PetscFunctionBegin;
5818   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5819   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5820   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5821   PetscValidType(U,2);
5822   PetscValidType(Y,3);
5823   PetscCheckSameComm(U,2,Y,3);
5824   PetscValidPointer(norm,4);
5825   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5826 
5827   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5828   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5829   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5830   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5831   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5832   sum  = 0.;
5833   if (ts->vatol && ts->vrtol) {
5834     const PetscScalar *atol,*rtol;
5835     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5836     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5837     for (i=0; i<n; i++) {
5838       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5839       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5840     }
5841     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5842     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5843   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5844     const PetscScalar *atol;
5845     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5846     for (i=0; i<n; i++) {
5847       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5848       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5849     }
5850     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5851   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5852     const PetscScalar *rtol;
5853     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5854     for (i=0; i<n; i++) {
5855       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5856       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5857     }
5858     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5859   } else {                      /* scalar atol, scalar rtol */
5860     for (i=0; i<n; i++) {
5861       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5862       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5863     }
5864   }
5865   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5866   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5867 
5868   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5869   *norm = PetscSqrtReal(gsum / N);
5870 
5871   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5872   PetscFunctionReturn(0);
5873 }
5874 
5875 #undef __FUNCT__
5876 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5877 /*@
5878    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5879 
5880    Collective on TS
5881 
5882    Input Arguments:
5883 +  ts - time stepping context
5884 .  U - state vector, usually ts->vec_sol
5885 -  Y - state vector to be compared to U
5886 
5887    Output Arguments:
5888 .  norm - weighted norm, a value of 1.0 is considered small
5889 
5890    Level: developer
5891 
5892 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5893 @*/
5894 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5895 {
5896   PetscErrorCode    ierr;
5897   PetscInt          i,n,N,rstart,k;
5898   const PetscScalar *u,*y;
5899   PetscReal         max,gmax;
5900   PetscReal         tol;
5901 
5902   PetscFunctionBegin;
5903   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5904   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5905   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5906   PetscValidType(U,2);
5907   PetscValidType(Y,3);
5908   PetscCheckSameComm(U,2,Y,3);
5909   PetscValidPointer(norm,4);
5910   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5911 
5912   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5913   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5914   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5915   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5916   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5917   if (ts->vatol && ts->vrtol) {
5918     const PetscScalar *atol,*rtol;
5919     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5920     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5921     k = 0;
5922     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5923     max = PetscAbsScalar(y[k] - u[k]) / tol;
5924     for (i=1; i<n; i++) {
5925       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5926       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5927     }
5928     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5929     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5930   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5931     const PetscScalar *atol;
5932     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5933     k = 0;
5934     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5935     max = PetscAbsScalar(y[k] - u[k]) / tol;
5936     for (i=1; i<n; i++) {
5937       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5938       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5939     }
5940     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5941   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5942     const PetscScalar *rtol;
5943     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5944     k = 0;
5945     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5946     max = PetscAbsScalar(y[k] - u[k]) / tol;
5947     for (i=1; i<n; i++) {
5948       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5949       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5950     }
5951     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5952   } else {                      /* scalar atol, scalar rtol */
5953     k = 0;
5954     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5955     max = PetscAbsScalar(y[k] - u[k]) / tol;
5956     for (i=1; i<n; i++) {
5957       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5958       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5959     }
5960   }
5961   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5962   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5963 
5964   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5965   *norm = gmax;
5966 
5967   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5968   PetscFunctionReturn(0);
5969 }
5970 
5971 #undef __FUNCT__
5972 #define __FUNCT__ "TSErrorWeightedNorm"
5973 /*@
5974    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
5975 
5976    Collective on TS
5977 
5978    Input Arguments:
5979 +  ts - time stepping context
5980 .  U - state vector, usually ts->vec_sol
5981 .  Y - state vector to be compared to U
5982 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
5983 
5984    Output Arguments:
5985 .  norm - weighted norm, a value of 1.0 is considered small
5986 
5987 
5988    Options Database Keys:
5989 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
5990 
5991    Level: developer
5992 
5993 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
5994 @*/
5995 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
5996 {
5997   PetscErrorCode ierr;
5998 
5999   PetscFunctionBegin;
6000   if (wnormtype == NORM_2) {
6001     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6002   } else if(wnormtype == NORM_INFINITY) {
6003     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6004   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6005   PetscFunctionReturn(0);
6006 }
6007 
6008 #undef __FUNCT__
6009 #define __FUNCT__ "TSSetCFLTimeLocal"
6010 /*@
6011    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6012 
6013    Logically Collective on TS
6014 
6015    Input Arguments:
6016 +  ts - time stepping context
6017 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6018 
6019    Note:
6020    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6021 
6022    Level: intermediate
6023 
6024 .seealso: TSGetCFLTime(), TSADAPTCFL
6025 @*/
6026 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6027 {
6028   PetscFunctionBegin;
6029   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6030   ts->cfltime_local = cfltime;
6031   ts->cfltime       = -1.;
6032   PetscFunctionReturn(0);
6033 }
6034 
6035 #undef __FUNCT__
6036 #define __FUNCT__ "TSGetCFLTime"
6037 /*@
6038    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6039 
6040    Collective on TS
6041 
6042    Input Arguments:
6043 .  ts - time stepping context
6044 
6045    Output Arguments:
6046 .  cfltime - maximum stable time step for forward Euler
6047 
6048    Level: advanced
6049 
6050 .seealso: TSSetCFLTimeLocal()
6051 @*/
6052 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6053 {
6054   PetscErrorCode ierr;
6055 
6056   PetscFunctionBegin;
6057   if (ts->cfltime < 0) {
6058     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6059   }
6060   *cfltime = ts->cfltime;
6061   PetscFunctionReturn(0);
6062 }
6063 
6064 #undef __FUNCT__
6065 #define __FUNCT__ "TSVISetVariableBounds"
6066 /*@
6067    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6068 
6069    Input Parameters:
6070 .  ts   - the TS context.
6071 .  xl   - lower bound.
6072 .  xu   - upper bound.
6073 
6074    Notes:
6075    If this routine is not called then the lower and upper bounds are set to
6076    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6077 
6078    Level: advanced
6079 
6080 @*/
6081 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6082 {
6083   PetscErrorCode ierr;
6084   SNES           snes;
6085 
6086   PetscFunctionBegin;
6087   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6088   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6089   PetscFunctionReturn(0);
6090 }
6091 
6092 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6093 #include <mex.h>
6094 
6095 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6096 
6097 #undef __FUNCT__
6098 #define __FUNCT__ "TSComputeFunction_Matlab"
6099 /*
6100    TSComputeFunction_Matlab - Calls the function that has been set with
6101                          TSSetFunctionMatlab().
6102 
6103    Collective on TS
6104 
6105    Input Parameters:
6106 +  snes - the TS context
6107 -  u - input vector
6108 
6109    Output Parameter:
6110 .  y - function vector, as set by TSSetFunction()
6111 
6112    Notes:
6113    TSComputeFunction() is typically used within nonlinear solvers
6114    implementations, so most users would not generally call this routine
6115    themselves.
6116 
6117    Level: developer
6118 
6119 .keywords: TS, nonlinear, compute, function
6120 
6121 .seealso: TSSetFunction(), TSGetFunction()
6122 */
6123 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6124 {
6125   PetscErrorCode  ierr;
6126   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6127   int             nlhs  = 1,nrhs = 7;
6128   mxArray         *plhs[1],*prhs[7];
6129   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6130 
6131   PetscFunctionBegin;
6132   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6133   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6134   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6135   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6136   PetscCheckSameComm(snes,1,u,3);
6137   PetscCheckSameComm(snes,1,y,5);
6138 
6139   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6140   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6141   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6142   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6143 
6144   prhs[0] =  mxCreateDoubleScalar((double)ls);
6145   prhs[1] =  mxCreateDoubleScalar(time);
6146   prhs[2] =  mxCreateDoubleScalar((double)lx);
6147   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6148   prhs[4] =  mxCreateDoubleScalar((double)ly);
6149   prhs[5] =  mxCreateString(sctx->funcname);
6150   prhs[6] =  sctx->ctx;
6151   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6152   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6153   mxDestroyArray(prhs[0]);
6154   mxDestroyArray(prhs[1]);
6155   mxDestroyArray(prhs[2]);
6156   mxDestroyArray(prhs[3]);
6157   mxDestroyArray(prhs[4]);
6158   mxDestroyArray(prhs[5]);
6159   mxDestroyArray(plhs[0]);
6160   PetscFunctionReturn(0);
6161 }
6162 
6163 
6164 #undef __FUNCT__
6165 #define __FUNCT__ "TSSetFunctionMatlab"
6166 /*
6167    TSSetFunctionMatlab - Sets the function evaluation routine and function
6168    vector for use by the TS routines in solving ODEs
6169    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6170 
6171    Logically Collective on TS
6172 
6173    Input Parameters:
6174 +  ts - the TS context
6175 -  func - function evaluation routine
6176 
6177    Calling sequence of func:
6178 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6179 
6180    Level: beginner
6181 
6182 .keywords: TS, nonlinear, set, function
6183 
6184 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6185 */
6186 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6187 {
6188   PetscErrorCode  ierr;
6189   TSMatlabContext *sctx;
6190 
6191   PetscFunctionBegin;
6192   /* currently sctx is memory bleed */
6193   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6194   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6195   /*
6196      This should work, but it doesn't
6197   sctx->ctx = ctx;
6198   mexMakeArrayPersistent(sctx->ctx);
6199   */
6200   sctx->ctx = mxDuplicateArray(ctx);
6201 
6202   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6203   PetscFunctionReturn(0);
6204 }
6205 
6206 #undef __FUNCT__
6207 #define __FUNCT__ "TSComputeJacobian_Matlab"
6208 /*
6209    TSComputeJacobian_Matlab - Calls the function that has been set with
6210                          TSSetJacobianMatlab().
6211 
6212    Collective on TS
6213 
6214    Input Parameters:
6215 +  ts - the TS context
6216 .  u - input vector
6217 .  A, B - the matrices
6218 -  ctx - user context
6219 
6220    Level: developer
6221 
6222 .keywords: TS, nonlinear, compute, function
6223 
6224 .seealso: TSSetFunction(), TSGetFunction()
6225 @*/
6226 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6227 {
6228   PetscErrorCode  ierr;
6229   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6230   int             nlhs  = 2,nrhs = 9;
6231   mxArray         *plhs[2],*prhs[9];
6232   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6233 
6234   PetscFunctionBegin;
6235   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6236   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6237 
6238   /* call Matlab function in ctx with arguments u and y */
6239 
6240   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6241   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6242   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6243   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6244   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6245 
6246   prhs[0] =  mxCreateDoubleScalar((double)ls);
6247   prhs[1] =  mxCreateDoubleScalar((double)time);
6248   prhs[2] =  mxCreateDoubleScalar((double)lx);
6249   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6250   prhs[4] =  mxCreateDoubleScalar((double)shift);
6251   prhs[5] =  mxCreateDoubleScalar((double)lA);
6252   prhs[6] =  mxCreateDoubleScalar((double)lB);
6253   prhs[7] =  mxCreateString(sctx->funcname);
6254   prhs[8] =  sctx->ctx;
6255   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6256   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6257   mxDestroyArray(prhs[0]);
6258   mxDestroyArray(prhs[1]);
6259   mxDestroyArray(prhs[2]);
6260   mxDestroyArray(prhs[3]);
6261   mxDestroyArray(prhs[4]);
6262   mxDestroyArray(prhs[5]);
6263   mxDestroyArray(prhs[6]);
6264   mxDestroyArray(prhs[7]);
6265   mxDestroyArray(plhs[0]);
6266   mxDestroyArray(plhs[1]);
6267   PetscFunctionReturn(0);
6268 }
6269 
6270 
6271 #undef __FUNCT__
6272 #define __FUNCT__ "TSSetJacobianMatlab"
6273 /*
6274    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6275    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
6276 
6277    Logically Collective on TS
6278 
6279    Input Parameters:
6280 +  ts - the TS context
6281 .  A,B - Jacobian matrices
6282 .  func - function evaluation routine
6283 -  ctx - user context
6284 
6285    Calling sequence of func:
6286 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6287 
6288 
6289    Level: developer
6290 
6291 .keywords: TS, nonlinear, set, function
6292 
6293 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6294 */
6295 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6296 {
6297   PetscErrorCode  ierr;
6298   TSMatlabContext *sctx;
6299 
6300   PetscFunctionBegin;
6301   /* currently sctx is memory bleed */
6302   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6303   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6304   /*
6305      This should work, but it doesn't
6306   sctx->ctx = ctx;
6307   mexMakeArrayPersistent(sctx->ctx);
6308   */
6309   sctx->ctx = mxDuplicateArray(ctx);
6310 
6311   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6312   PetscFunctionReturn(0);
6313 }
6314 
6315 #undef __FUNCT__
6316 #define __FUNCT__ "TSMonitor_Matlab"
6317 /*
6318    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6319 
6320    Collective on TS
6321 
6322 .seealso: TSSetFunction(), TSGetFunction()
6323 @*/
6324 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6325 {
6326   PetscErrorCode  ierr;
6327   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6328   int             nlhs  = 1,nrhs = 6;
6329   mxArray         *plhs[1],*prhs[6];
6330   long long int   lx = 0,ls = 0;
6331 
6332   PetscFunctionBegin;
6333   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6334   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6335 
6336   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6337   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6338 
6339   prhs[0] =  mxCreateDoubleScalar((double)ls);
6340   prhs[1] =  mxCreateDoubleScalar((double)it);
6341   prhs[2] =  mxCreateDoubleScalar((double)time);
6342   prhs[3] =  mxCreateDoubleScalar((double)lx);
6343   prhs[4] =  mxCreateString(sctx->funcname);
6344   prhs[5] =  sctx->ctx;
6345   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6346   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6347   mxDestroyArray(prhs[0]);
6348   mxDestroyArray(prhs[1]);
6349   mxDestroyArray(prhs[2]);
6350   mxDestroyArray(prhs[3]);
6351   mxDestroyArray(prhs[4]);
6352   mxDestroyArray(plhs[0]);
6353   PetscFunctionReturn(0);
6354 }
6355 
6356 
6357 #undef __FUNCT__
6358 #define __FUNCT__ "TSMonitorSetMatlab"
6359 /*
6360    TSMonitorSetMatlab - Sets the monitor function from Matlab
6361 
6362    Level: developer
6363 
6364 .keywords: TS, nonlinear, set, function
6365 
6366 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6367 */
6368 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6369 {
6370   PetscErrorCode  ierr;
6371   TSMatlabContext *sctx;
6372 
6373   PetscFunctionBegin;
6374   /* currently sctx is memory bleed */
6375   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6376   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6377   /*
6378      This should work, but it doesn't
6379   sctx->ctx = ctx;
6380   mexMakeArrayPersistent(sctx->ctx);
6381   */
6382   sctx->ctx = mxDuplicateArray(ctx);
6383 
6384   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6385   PetscFunctionReturn(0);
6386 }
6387 #endif
6388 
6389 #undef __FUNCT__
6390 #define __FUNCT__ "TSMonitorLGSolution"
6391 /*@C
6392    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6393        in a time based line graph
6394 
6395    Collective on TS
6396 
6397    Input Parameters:
6398 +  ts - the TS context
6399 .  step - current time-step
6400 .  ptime - current time
6401 .  u - current solution
6402 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6403 
6404    Options Database:
6405 .   -ts_monitor_lg_solution_variables
6406 
6407    Level: intermediate
6408 
6409    Notes: Each process in a parallel run displays its component solutions in a separate window
6410 
6411 .keywords: TS,  vector, monitor, view
6412 
6413 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6414            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6415            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6416            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6417 @*/
6418 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6419 {
6420   PetscErrorCode    ierr;
6421   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6422   const PetscScalar *yy;
6423   Vec               v;
6424 
6425   PetscFunctionBegin;
6426   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6427   if (!step) {
6428     PetscDrawAxis axis;
6429     PetscInt      dim;
6430     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6431     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6432     if (!ctx->names) {
6433       PetscBool flg;
6434       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6435       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6436       if (flg) {
6437         PetscInt i,n;
6438         char     **names;
6439         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6440         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6441         for (i=0; i<n; i++) {
6442           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6443           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6444         }
6445         names[n] = NULL;
6446         ctx->names = names;
6447       }
6448     }
6449     if (ctx->names && !ctx->displaynames) {
6450       char      **displaynames;
6451       PetscBool flg;
6452       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6453       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6454       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6455       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6456       if (flg) {
6457         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6458       }
6459       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6460     }
6461     if (ctx->displaynames) {
6462       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6463       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6464     } else if (ctx->names) {
6465       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6466       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6467       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6468     } else {
6469       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6470       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6471     }
6472     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6473   }
6474 
6475   if (!ctx->transform) v = u;
6476   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6477   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6478   if (ctx->displaynames) {
6479     PetscInt i;
6480     for (i=0; i<ctx->ndisplayvariables; i++)
6481       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6482     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6483   } else {
6484 #if defined(PETSC_USE_COMPLEX)
6485     PetscInt  i,n;
6486     PetscReal *yreal;
6487     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6488     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6489     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6490     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6491     ierr = PetscFree(yreal);CHKERRQ(ierr);
6492 #else
6493     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6494 #endif
6495   }
6496   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6497   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6498 
6499   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6500     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6501     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6502   }
6503   PetscFunctionReturn(0);
6504 }
6505 
6506 
6507 #undef __FUNCT__
6508 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6509 /*@C
6510    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6511 
6512    Collective on TS
6513 
6514    Input Parameters:
6515 +  ts - the TS context
6516 -  names - the names of the components, final string must be NULL
6517 
6518    Level: intermediate
6519 
6520    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6521 
6522 .keywords: TS,  vector, monitor, view
6523 
6524 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6525 @*/
6526 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6527 {
6528   PetscErrorCode    ierr;
6529   PetscInt          i;
6530 
6531   PetscFunctionBegin;
6532   for (i=0; i<ts->numbermonitors; i++) {
6533     if (ts->monitor[i] == TSMonitorLGSolution) {
6534       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6535       break;
6536     }
6537   }
6538   PetscFunctionReturn(0);
6539 }
6540 
6541 #undef __FUNCT__
6542 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6543 /*@C
6544    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6545 
6546    Collective on TS
6547 
6548    Input Parameters:
6549 +  ts - the TS context
6550 -  names - the names of the components, final string must be NULL
6551 
6552    Level: intermediate
6553 
6554 .keywords: TS,  vector, monitor, view
6555 
6556 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6557 @*/
6558 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6559 {
6560   PetscErrorCode    ierr;
6561 
6562   PetscFunctionBegin;
6563   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6564   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6565   PetscFunctionReturn(0);
6566 }
6567 
6568 #undef __FUNCT__
6569 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6570 /*@C
6571    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6572 
6573    Collective on TS
6574 
6575    Input Parameter:
6576 .  ts - the TS context
6577 
6578    Output Parameter:
6579 .  names - the names of the components, final string must be NULL
6580 
6581    Level: intermediate
6582 
6583    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6584 
6585 .keywords: TS,  vector, monitor, view
6586 
6587 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6588 @*/
6589 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6590 {
6591   PetscInt       i;
6592 
6593   PetscFunctionBegin;
6594   *names = NULL;
6595   for (i=0; i<ts->numbermonitors; i++) {
6596     if (ts->monitor[i] == TSMonitorLGSolution) {
6597       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6598       *names = (const char *const *)ctx->names;
6599       break;
6600     }
6601   }
6602   PetscFunctionReturn(0);
6603 }
6604 
6605 #undef __FUNCT__
6606 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6607 /*@C
6608    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6609 
6610    Collective on TS
6611 
6612    Input Parameters:
6613 +  ctx - the TSMonitorLG context
6614 .  displaynames - the names of the components, final string must be NULL
6615 
6616    Level: intermediate
6617 
6618 .keywords: TS,  vector, monitor, view
6619 
6620 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6621 @*/
6622 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6623 {
6624   PetscInt          j = 0,k;
6625   PetscErrorCode    ierr;
6626 
6627   PetscFunctionBegin;
6628   if (!ctx->names) PetscFunctionReturn(0);
6629   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6630   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6631   while (displaynames[j]) j++;
6632   ctx->ndisplayvariables = j;
6633   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6634   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6635   j = 0;
6636   while (displaynames[j]) {
6637     k = 0;
6638     while (ctx->names[k]) {
6639       PetscBool flg;
6640       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6641       if (flg) {
6642         ctx->displayvariables[j] = k;
6643         break;
6644       }
6645       k++;
6646     }
6647     j++;
6648   }
6649   PetscFunctionReturn(0);
6650 }
6651 
6652 
6653 #undef __FUNCT__
6654 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6655 /*@C
6656    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6657 
6658    Collective on TS
6659 
6660    Input Parameters:
6661 +  ts - the TS context
6662 .  displaynames - the names of the components, final string must be NULL
6663 
6664    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6665 
6666    Level: intermediate
6667 
6668 .keywords: TS,  vector, monitor, view
6669 
6670 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6671 @*/
6672 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6673 {
6674   PetscInt          i;
6675   PetscErrorCode    ierr;
6676 
6677   PetscFunctionBegin;
6678   for (i=0; i<ts->numbermonitors; i++) {
6679     if (ts->monitor[i] == TSMonitorLGSolution) {
6680       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6681       break;
6682     }
6683   }
6684   PetscFunctionReturn(0);
6685 }
6686 
6687 #undef __FUNCT__
6688 #define __FUNCT__ "TSMonitorLGSetTransform"
6689 /*@C
6690    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6691 
6692    Collective on TS
6693 
6694    Input Parameters:
6695 +  ts - the TS context
6696 .  transform - the transform function
6697 .  destroy - function to destroy the optional context
6698 -  ctx - optional context used by transform function
6699 
6700    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6701 
6702    Level: intermediate
6703 
6704 .keywords: TS,  vector, monitor, view
6705 
6706 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6707 @*/
6708 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6709 {
6710   PetscInt          i;
6711   PetscErrorCode    ierr;
6712 
6713   PetscFunctionBegin;
6714   for (i=0; i<ts->numbermonitors; i++) {
6715     if (ts->monitor[i] == TSMonitorLGSolution) {
6716       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6717     }
6718   }
6719   PetscFunctionReturn(0);
6720 }
6721 
6722 #undef __FUNCT__
6723 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6724 /*@C
6725    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6726 
6727    Collective on TSLGCtx
6728 
6729    Input Parameters:
6730 +  ts - the TS context
6731 .  transform - the transform function
6732 .  destroy - function to destroy the optional context
6733 -  ctx - optional context used by transform function
6734 
6735    Level: intermediate
6736 
6737 .keywords: TS,  vector, monitor, view
6738 
6739 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6740 @*/
6741 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6742 {
6743   PetscFunctionBegin;
6744   ctx->transform    = transform;
6745   ctx->transformdestroy = destroy;
6746   ctx->transformctx = tctx;
6747   PetscFunctionReturn(0);
6748 }
6749 
6750 #undef __FUNCT__
6751 #define __FUNCT__ "TSMonitorLGError"
6752 /*@C
6753    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6754        in a time based line graph
6755 
6756    Collective on TS
6757 
6758    Input Parameters:
6759 +  ts - the TS context
6760 .  step - current time-step
6761 .  ptime - current time
6762 .  u - current solution
6763 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6764 
6765    Level: intermediate
6766 
6767    Notes: Each process in a parallel run displays its component errors in a separate window
6768 
6769    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6770 
6771    Options Database Keys:
6772 .  -ts_monitor_lg_error - create a graphical monitor of error history
6773 
6774 .keywords: TS,  vector, monitor, view
6775 
6776 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6777 @*/
6778 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6779 {
6780   PetscErrorCode    ierr;
6781   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6782   const PetscScalar *yy;
6783   Vec               y;
6784 
6785   PetscFunctionBegin;
6786   if (!step) {
6787     PetscDrawAxis axis;
6788     PetscInt      dim;
6789     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6790     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6791     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6792     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6793     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6794   }
6795   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6796   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6797   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6798   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6799 #if defined(PETSC_USE_COMPLEX)
6800   {
6801     PetscReal *yreal;
6802     PetscInt  i,n;
6803     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6804     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6805     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6806     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6807     ierr = PetscFree(yreal);CHKERRQ(ierr);
6808   }
6809 #else
6810   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6811 #endif
6812   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6813   ierr = VecDestroy(&y);CHKERRQ(ierr);
6814   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6815     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6816     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6817   }
6818   PetscFunctionReturn(0);
6819 }
6820 
6821 #undef __FUNCT__
6822 #define __FUNCT__ "TSMonitorLGSNESIterations"
6823 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6824 {
6825   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6826   PetscReal      x   = ptime,y;
6827   PetscErrorCode ierr;
6828   PetscInt       its;
6829 
6830   PetscFunctionBegin;
6831   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6832   if (!n) {
6833     PetscDrawAxis axis;
6834     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6835     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6836     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6837     ctx->snes_its = 0;
6838   }
6839   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6840   y    = its - ctx->snes_its;
6841   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6842   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6843     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6844     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6845   }
6846   ctx->snes_its = its;
6847   PetscFunctionReturn(0);
6848 }
6849 
6850 #undef __FUNCT__
6851 #define __FUNCT__ "TSMonitorLGKSPIterations"
6852 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6853 {
6854   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6855   PetscReal      x   = ptime,y;
6856   PetscErrorCode ierr;
6857   PetscInt       its;
6858 
6859   PetscFunctionBegin;
6860   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6861   if (!n) {
6862     PetscDrawAxis axis;
6863     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6864     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6865     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6866     ctx->ksp_its = 0;
6867   }
6868   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6869   y    = its - ctx->ksp_its;
6870   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6871   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6872     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6873     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6874   }
6875   ctx->ksp_its = its;
6876   PetscFunctionReturn(0);
6877 }
6878 
6879 #undef __FUNCT__
6880 #define __FUNCT__ "TSComputeLinearStability"
6881 /*@
6882    TSComputeLinearStability - computes the linear stability function at a point
6883 
6884    Collective on TS and Vec
6885 
6886    Input Parameters:
6887 +  ts - the TS context
6888 -  xr,xi - real and imaginary part of input arguments
6889 
6890    Output Parameters:
6891 .  yr,yi - real and imaginary part of function value
6892 
6893    Level: developer
6894 
6895 .keywords: TS, compute
6896 
6897 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6898 @*/
6899 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6900 {
6901   PetscErrorCode ierr;
6902 
6903   PetscFunctionBegin;
6904   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6905   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6906   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6907   PetscFunctionReturn(0);
6908 }
6909 
6910 /* ------------------------------------------------------------------------*/
6911 #undef __FUNCT__
6912 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6913 /*@C
6914    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6915 
6916    Collective on TS
6917 
6918    Input Parameters:
6919 .  ts  - the ODE solver object
6920 
6921    Output Parameter:
6922 .  ctx - the context
6923 
6924    Level: intermediate
6925 
6926 .keywords: TS, monitor, line graph, residual, seealso
6927 
6928 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
6929 
6930 @*/
6931 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
6932 {
6933   PetscErrorCode ierr;
6934 
6935   PetscFunctionBegin;
6936   ierr = PetscNew(ctx);CHKERRQ(ierr);
6937   PetscFunctionReturn(0);
6938 }
6939 
6940 #undef __FUNCT__
6941 #define __FUNCT__ "TSMonitorEnvelope"
6942 /*@C
6943    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
6944 
6945    Collective on TS
6946 
6947    Input Parameters:
6948 +  ts - the TS context
6949 .  step - current time-step
6950 .  ptime - current time
6951 .  u  - current solution
6952 -  dctx - the envelope context
6953 
6954    Options Database:
6955 .  -ts_monitor_envelope
6956 
6957    Level: intermediate
6958 
6959    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
6960 
6961 .keywords: TS,  vector, monitor, view
6962 
6963 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
6964 @*/
6965 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6966 {
6967   PetscErrorCode       ierr;
6968   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
6969 
6970   PetscFunctionBegin;
6971   if (!ctx->max) {
6972     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
6973     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
6974     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
6975     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
6976   } else {
6977     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
6978     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
6979   }
6980   PetscFunctionReturn(0);
6981 }
6982 
6983 
6984 #undef __FUNCT__
6985 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
6986 /*@C
6987    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
6988 
6989    Collective on TS
6990 
6991    Input Parameter:
6992 .  ts - the TS context
6993 
6994    Output Parameter:
6995 +  max - the maximum values
6996 -  min - the minimum values
6997 
6998    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
6999 
7000    Level: intermediate
7001 
7002 .keywords: TS,  vector, monitor, view
7003 
7004 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7005 @*/
7006 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7007 {
7008   PetscInt i;
7009 
7010   PetscFunctionBegin;
7011   if (max) *max = NULL;
7012   if (min) *min = NULL;
7013   for (i=0; i<ts->numbermonitors; i++) {
7014     if (ts->monitor[i] == TSMonitorEnvelope) {
7015       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7016       if (max) *max = ctx->max;
7017       if (min) *min = ctx->min;
7018       break;
7019     }
7020   }
7021   PetscFunctionReturn(0);
7022 }
7023 
7024 #undef __FUNCT__
7025 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7026 /*@C
7027    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7028 
7029    Collective on TSMonitorEnvelopeCtx
7030 
7031    Input Parameter:
7032 .  ctx - the monitor context
7033 
7034    Level: intermediate
7035 
7036 .keywords: TS, monitor, line graph, destroy
7037 
7038 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7039 @*/
7040 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7041 {
7042   PetscErrorCode ierr;
7043 
7044   PetscFunctionBegin;
7045   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7046   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7047   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7048   PetscFunctionReturn(0);
7049 }
7050 
7051 #undef __FUNCT__
7052 #define __FUNCT__ "TSRollBack"
7053 /*@
7054    TSRollBack - Rolls back one time step
7055 
7056    Collective on TS
7057 
7058    Input Parameter:
7059 .  ts - the TS context obtained from TSCreate()
7060 
7061    Level: advanced
7062 
7063 .keywords: TS, timestep, rollback
7064 
7065 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7066 @*/
7067 PetscErrorCode  TSRollBack(TS ts)
7068 {
7069   PetscErrorCode ierr;
7070 
7071   PetscFunctionBegin;
7072   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7073   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7074   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7075   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7076   ts->time_step = ts->ptime - ts->ptime_prev;
7077   ts->ptime = ts->ptime_prev;
7078   ts->ptime_prev = ts->ptime_prev_rollback;
7079   ts->steps--; ts->total_steps--;
7080   ts->steprollback = PETSC_TRUE;
7081   PetscFunctionReturn(0);
7082 }
7083 
7084 #undef __FUNCT__
7085 #define __FUNCT__ "TSGetStages"
7086 /*@
7087    TSGetStages - Get the number of stages and stage values
7088 
7089    Input Parameter:
7090 .  ts - the TS context obtained from TSCreate()
7091 
7092    Level: advanced
7093 
7094 .keywords: TS, getstages
7095 
7096 .seealso: TSCreate()
7097 @*/
7098 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7099 {
7100   PetscErrorCode ierr;
7101 
7102   PetscFunctionBegin;
7103   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7104   PetscValidPointer(ns,2);
7105 
7106   if (!ts->ops->getstages) *ns=0;
7107   else {
7108     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7109   }
7110   PetscFunctionReturn(0);
7111 }
7112 
7113 #undef __FUNCT__
7114 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7115 /*@C
7116   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7117 
7118   Collective on SNES
7119 
7120   Input Parameters:
7121 + ts - the TS context
7122 . t - current timestep
7123 . U - state vector
7124 . Udot - time derivative of state vector
7125 . shift - shift to apply, see note below
7126 - ctx - an optional user context
7127 
7128   Output Parameters:
7129 + J - Jacobian matrix (not altered in this routine)
7130 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7131 
7132   Level: intermediate
7133 
7134   Notes:
7135   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7136 
7137   dF/dU + shift*dF/dUdot
7138 
7139   Most users should not need to explicitly call this routine, as it
7140   is used internally within the nonlinear solvers.
7141 
7142   This will first try to get the coloring from the DM.  If the DM type has no coloring
7143   routine, then it will try to get the coloring from the matrix.  This requires that the
7144   matrix have nonzero entries precomputed.
7145 
7146 .keywords: TS, finite differences, Jacobian, coloring, sparse
7147 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7148 @*/
7149 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7150 {
7151   SNES           snes;
7152   MatFDColoring  color;
7153   PetscBool      hascolor, matcolor = PETSC_FALSE;
7154   PetscErrorCode ierr;
7155 
7156   PetscFunctionBegin;
7157   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7158   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7159   if (!color) {
7160     DM         dm;
7161     ISColoring iscoloring;
7162 
7163     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7164     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7165     if (hascolor && !matcolor) {
7166       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7167       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7168       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7169       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7170       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7171       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7172     } else {
7173       MatColoring mc;
7174 
7175       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7176       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7177       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7178       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7179       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7180       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7181       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7182       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7183       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7184       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7185       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7186     }
7187     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7188     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7189   }
7190   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7191   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7192   if (J != B) {
7193     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7194     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7195   }
7196   PetscFunctionReturn(0);
7197 }
7198 
7199 #undef __FUNCT__
7200 #define __FUNCT__ "TSSetFunctionDomainError"
7201 /*@
7202     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7203 
7204     Input Parameters:
7205     ts - the TS context
7206     func - function called within TSFunctionDomainError
7207 
7208     Level: intermediate
7209 
7210 .keywords: TS, state, domain
7211 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7212 @*/
7213 
7214 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7215 {
7216   PetscFunctionBegin;
7217   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7218   ts->functiondomainerror = func;
7219   PetscFunctionReturn(0);
7220 }
7221 
7222 #undef __FUNCT__
7223 #define __FUNCT__ "TSFunctionDomainError"
7224 /*@
7225     TSFunctionDomainError - Check if the current state is valid
7226 
7227     Input Parameters:
7228     ts - the TS context
7229     stagetime - time of the simulation
7230     Y - state vector to check.
7231 
7232     Output Parameter:
7233     accept - Set to PETSC_FALSE if the current state vector is valid.
7234 
7235     Note:
7236     This function should be used to ensure the state is in a valid part of the space.
7237     For example, one can ensure here all values are positive.
7238 
7239     Level: advanced
7240 @*/
7241 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7242 {
7243   PetscErrorCode ierr;
7244 
7245   PetscFunctionBegin;
7246 
7247   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7248   *accept = PETSC_TRUE;
7249   if (ts->functiondomainerror) {
7250     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7251   }
7252   PetscFunctionReturn(0);
7253 }
7254 
7255 #undef  __FUNCT__
7256 #define __FUNCT__ "TSClone"
7257 /*@C
7258   TSClone - This function clones a time step object.
7259 
7260   Collective on MPI_Comm
7261 
7262   Input Parameter:
7263 . tsin    - The input TS
7264 
7265   Output Parameter:
7266 . tsout   - The output TS (cloned)
7267 
7268   Notes:
7269   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.
7270 
7271   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);
7272 
7273   Level: developer
7274 
7275 .keywords: TS, clone
7276 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7277 @*/
7278 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7279 {
7280   TS             t;
7281   PetscErrorCode ierr;
7282   SNES           snes_start;
7283   DM             dm;
7284   TSType         type;
7285 
7286   PetscFunctionBegin;
7287   PetscValidPointer(tsin,1);
7288   *tsout = NULL;
7289 
7290   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7291 
7292   /* General TS description */
7293   t->numbermonitors    = 0;
7294   t->setupcalled       = 0;
7295   t->ksp_its           = 0;
7296   t->snes_its          = 0;
7297   t->nwork             = 0;
7298   t->rhsjacobian.time  = -1e20;
7299   t->rhsjacobian.scale = 1.;
7300   t->ijacobian.shift   = 1.;
7301 
7302   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7303   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7304 
7305   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7306   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7307 
7308   t->adapt = tsin->adapt;
7309   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7310 
7311   t->problem_type      = tsin->problem_type;
7312   t->ptime             = tsin->ptime;
7313   t->time_step         = tsin->time_step;
7314   t->max_time          = tsin->max_time;
7315   t->steps             = tsin->steps;
7316   t->max_steps         = tsin->max_steps;
7317   t->equation_type     = tsin->equation_type;
7318   t->atol              = tsin->atol;
7319   t->rtol              = tsin->rtol;
7320   t->max_snes_failures = tsin->max_snes_failures;
7321   t->max_reject        = tsin->max_reject;
7322   t->errorifstepfailed = tsin->errorifstepfailed;
7323 
7324   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7325   ierr = TSSetType(t,type);CHKERRQ(ierr);
7326 
7327   t->vec_sol           = NULL;
7328 
7329   t->cfltime          = tsin->cfltime;
7330   t->cfltime_local    = tsin->cfltime_local;
7331   t->exact_final_time = tsin->exact_final_time;
7332 
7333   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7334 
7335   if (((PetscObject)tsin)->fortran_func_pointers) {
7336     PetscInt i;
7337     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7338     for (i=0; i<10; i++) {
7339       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7340     }
7341   }
7342   *tsout = t;
7343   PetscFunctionReturn(0);
7344 }
7345