xref: /petsc/src/ts/interface/ts.c (revision 70baa948e42e6bb1660071283af10f413c9269b6)
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     if (ts->vrtol) {
1922       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of relative error tolerances, ");CHKERRQ(ierr);
1923     } else {
1924       ierr = PetscViewerASCIIPrintf(viewer,"  using relative error tolerance of %g, ",(double)ts->rtol);CHKERRQ(ierr);
1925     }
1926     if (ts->vatol) {
1927       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of absolute error tolerances\n");CHKERRQ(ierr);
1928     } else {
1929       ierr = PetscViewerASCIIPrintf(viewer,"  using absolute error tolerance of %g\n",(double)ts->atol);CHKERRQ(ierr);
1930     }
1931     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1932     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1933     if (ts->ops->view) {
1934       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1935       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1936       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1937     }
1938   } else if (isstring) {
1939     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1940     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1941   } else if (isbinary) {
1942     PetscInt    classid = TS_FILE_CLASSID;
1943     MPI_Comm    comm;
1944     PetscMPIInt rank;
1945     char        type[256];
1946 
1947     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1948     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1949     if (!rank) {
1950       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1951       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1952       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1953     }
1954     if (ts->ops->view) {
1955       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1956     }
1957     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1958     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1959     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1960     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1961   } else if (isdraw) {
1962     PetscDraw draw;
1963     char      str[36];
1964     PetscReal x,y,bottom,h;
1965 
1966     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1967     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1968     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1969     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1970     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1971     bottom = y - h;
1972     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1973     if (ts->ops->view) {
1974       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1975     }
1976     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1977 #if defined(PETSC_HAVE_SAWS)
1978   } else if (issaws) {
1979     PetscMPIInt rank;
1980     const char  *name;
1981 
1982     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1983     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1984     if (!((PetscObject)ts)->amsmem && !rank) {
1985       char       dir[1024];
1986 
1987       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1988       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1989       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1990       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1991       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1992     }
1993     if (ts->ops->view) {
1994       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1995     }
1996 #endif
1997   }
1998 
1999   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
2000   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
2001   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
2002   PetscFunctionReturn(0);
2003 }
2004 
2005 
2006 #undef __FUNCT__
2007 #define __FUNCT__ "TSSetApplicationContext"
2008 /*@
2009    TSSetApplicationContext - Sets an optional user-defined context for
2010    the timesteppers.
2011 
2012    Logically Collective on TS
2013 
2014    Input Parameters:
2015 +  ts - the TS context obtained from TSCreate()
2016 -  usrP - optional user context
2017 
2018    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2019     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2020 
2021    Level: intermediate
2022 
2023 .keywords: TS, timestep, set, application, context
2024 
2025 .seealso: TSGetApplicationContext()
2026 @*/
2027 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
2028 {
2029   PetscFunctionBegin;
2030   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2031   ts->user = usrP;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "TSGetApplicationContext"
2037 /*@
2038     TSGetApplicationContext - Gets the user-defined context for the
2039     timestepper.
2040 
2041     Not Collective
2042 
2043     Input Parameter:
2044 .   ts - the TS context obtained from TSCreate()
2045 
2046     Output Parameter:
2047 .   usrP - user context
2048 
2049    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2050     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2051 
2052     Level: intermediate
2053 
2054 .keywords: TS, timestep, get, application, context
2055 
2056 .seealso: TSSetApplicationContext()
2057 @*/
2058 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
2059 {
2060   PetscFunctionBegin;
2061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2062   *(void**)usrP = ts->user;
2063   PetscFunctionReturn(0);
2064 }
2065 
2066 #undef __FUNCT__
2067 #define __FUNCT__ "TSGetTimeStepNumber"
2068 /*@
2069    TSGetTimeStepNumber - Gets the number of time steps completed.
2070 
2071    Not Collective
2072 
2073    Input Parameter:
2074 .  ts - the TS context obtained from TSCreate()
2075 
2076    Output Parameter:
2077 .  iter - number of steps completed so far
2078 
2079    Level: intermediate
2080 
2081 .keywords: TS, timestep, get, iteration, number
2082 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
2083 @*/
2084 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
2085 {
2086   PetscFunctionBegin;
2087   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2088   PetscValidIntPointer(iter,2);
2089   *iter = ts->steps;
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "TSSetInitialTimeStep"
2095 /*@
2096    TSSetInitialTimeStep - Sets the initial timestep to be used,
2097    as well as the initial time.
2098 
2099    Logically Collective on TS
2100 
2101    Input Parameters:
2102 +  ts - the TS context obtained from TSCreate()
2103 .  initial_time - the initial time
2104 -  time_step - the size of the timestep
2105 
2106    Level: intermediate
2107 
2108 .seealso: TSSetTimeStep(), TSGetTimeStep()
2109 
2110 .keywords: TS, set, initial, timestep
2111 @*/
2112 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
2113 {
2114   PetscErrorCode ierr;
2115 
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
2119   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "TSSetTimeStep"
2125 /*@
2126    TSSetTimeStep - Allows one to reset the timestep at any time,
2127    useful for simple pseudo-timestepping codes.
2128 
2129    Logically Collective on TS
2130 
2131    Input Parameters:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  time_step - the size of the timestep
2134 
2135    Level: intermediate
2136 
2137 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2138 
2139 .keywords: TS, set, timestep
2140 @*/
2141 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
2142 {
2143   PetscFunctionBegin;
2144   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2145   PetscValidLogicalCollectiveReal(ts,time_step,2);
2146   ts->time_step = time_step;
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "TSSetExactFinalTime"
2152 /*@
2153    TSSetExactFinalTime - Determines whether to adapt the final time step to
2154      match the exact final time, interpolate solution to the exact final time,
2155      or just return at the final time TS computed.
2156 
2157   Logically Collective on TS
2158 
2159    Input Parameter:
2160 +   ts - the time-step context
2161 -   eftopt - exact final time option
2162 
2163 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
2164 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
2165 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
2166 
2167    Options Database:
2168 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
2169 
2170    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
2171     then the final time you selected.
2172 
2173    Level: beginner
2174 
2175 .seealso: TSExactFinalTimeOption
2176 @*/
2177 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
2178 {
2179   PetscFunctionBegin;
2180   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2181   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
2182   ts->exact_final_time = eftopt;
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "TSGetTimeStep"
2188 /*@
2189    TSGetTimeStep - Gets the current timestep size.
2190 
2191    Not Collective
2192 
2193    Input Parameter:
2194 .  ts - the TS context obtained from TSCreate()
2195 
2196    Output Parameter:
2197 .  dt - the current timestep size
2198 
2199    Level: intermediate
2200 
2201 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2202 
2203 .keywords: TS, get, timestep
2204 @*/
2205 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
2206 {
2207   PetscFunctionBegin;
2208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2209   PetscValidRealPointer(dt,2);
2210   *dt = ts->time_step;
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "TSGetSolution"
2216 /*@
2217    TSGetSolution - Returns the solution at the present timestep. It
2218    is valid to call this routine inside the function that you are evaluating
2219    in order to move to the new timestep. This vector not changed until
2220    the solution at the next timestep has been calculated.
2221 
2222    Not Collective, but Vec returned is parallel if TS is parallel
2223 
2224    Input Parameter:
2225 .  ts - the TS context obtained from TSCreate()
2226 
2227    Output Parameter:
2228 .  v - the vector containing the solution
2229 
2230    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
2231    final time. It returns the solution at the next timestep.
2232 
2233    Level: intermediate
2234 
2235 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime()
2236 
2237 .keywords: TS, timestep, get, solution
2238 @*/
2239 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
2240 {
2241   PetscFunctionBegin;
2242   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2243   PetscValidPointer(v,2);
2244   *v = ts->vec_sol;
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 #undef __FUNCT__
2249 #define __FUNCT__ "TSGetCostGradients"
2250 /*@
2251    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2252 
2253    Not Collective, but Vec returned is parallel if TS is parallel
2254 
2255    Input Parameter:
2256 .  ts - the TS context obtained from TSCreate()
2257 
2258    Output Parameter:
2259 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2260 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2261 
2262    Level: intermediate
2263 
2264 .seealso: TSGetTimeStep()
2265 
2266 .keywords: TS, timestep, get, sensitivity
2267 @*/
2268 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2269 {
2270   PetscFunctionBegin;
2271   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2272   if (numcost) *numcost = ts->numcost;
2273   if (lambda)  *lambda  = ts->vecs_sensi;
2274   if (mu)      *mu      = ts->vecs_sensip;
2275   PetscFunctionReturn(0);
2276 }
2277 
2278 /* ----- Routines to initialize and destroy a timestepper ---- */
2279 #undef __FUNCT__
2280 #define __FUNCT__ "TSSetProblemType"
2281 /*@
2282   TSSetProblemType - Sets the type of problem to be solved.
2283 
2284   Not collective
2285 
2286   Input Parameters:
2287 + ts   - The TS
2288 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2289 .vb
2290          U_t - A U = 0      (linear)
2291          U_t - A(t) U = 0   (linear)
2292          F(t,U,U_t) = 0     (nonlinear)
2293 .ve
2294 
2295    Level: beginner
2296 
2297 .keywords: TS, problem type
2298 .seealso: TSSetUp(), TSProblemType, TS
2299 @*/
2300 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2301 {
2302   PetscErrorCode ierr;
2303 
2304   PetscFunctionBegin;
2305   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2306   ts->problem_type = type;
2307   if (type == TS_LINEAR) {
2308     SNES snes;
2309     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2310     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2311   }
2312   PetscFunctionReturn(0);
2313 }
2314 
2315 #undef __FUNCT__
2316 #define __FUNCT__ "TSGetProblemType"
2317 /*@C
2318   TSGetProblemType - Gets the type of problem to be solved.
2319 
2320   Not collective
2321 
2322   Input Parameter:
2323 . ts   - The TS
2324 
2325   Output Parameter:
2326 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2327 .vb
2328          M U_t = A U
2329          M(t) U_t = A(t) U
2330          F(t,U,U_t)
2331 .ve
2332 
2333    Level: beginner
2334 
2335 .keywords: TS, problem type
2336 .seealso: TSSetUp(), TSProblemType, TS
2337 @*/
2338 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2339 {
2340   PetscFunctionBegin;
2341   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2342   PetscValidIntPointer(type,2);
2343   *type = ts->problem_type;
2344   PetscFunctionReturn(0);
2345 }
2346 
2347 #undef __FUNCT__
2348 #define __FUNCT__ "TSSetUp"
2349 /*@
2350    TSSetUp - Sets up the internal data structures for the later use
2351    of a timestepper.
2352 
2353    Collective on TS
2354 
2355    Input Parameter:
2356 .  ts - the TS context obtained from TSCreate()
2357 
2358    Notes:
2359    For basic use of the TS solvers the user need not explicitly call
2360    TSSetUp(), since these actions will automatically occur during
2361    the call to TSStep().  However, if one wishes to control this
2362    phase separately, TSSetUp() should be called after TSCreate()
2363    and optional routines of the form TSSetXXX(), but before TSStep().
2364 
2365    Level: advanced
2366 
2367 .keywords: TS, timestep, setup
2368 
2369 .seealso: TSCreate(), TSStep(), TSDestroy()
2370 @*/
2371 PetscErrorCode  TSSetUp(TS ts)
2372 {
2373   PetscErrorCode ierr;
2374   DM             dm;
2375   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2376   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2377   TSIFunction    ifun;
2378   TSIJacobian    ijac;
2379   TSI2Jacobian   i2jac;
2380   TSRHSJacobian  rhsjac;
2381 
2382   PetscFunctionBegin;
2383   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2384   if (ts->setupcalled) PetscFunctionReturn(0);
2385 
2386   ts->total_steps = 0;
2387   if (!((PetscObject)ts)->type_name) {
2388     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2389     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2390   }
2391 
2392   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2393 
2394   if (ts->rhsjacobian.reuse) {
2395     Mat Amat,Pmat;
2396     SNES snes;
2397     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2398     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2399     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2400      * have displaced the RHS matrix */
2401     if (Amat == ts->Arhs) {
2402       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2403       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2404       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2405     }
2406     if (Pmat == ts->Brhs) {
2407       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2408       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2409       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2410     }
2411   }
2412   if (ts->ops->setup) {
2413     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2414   }
2415 
2416   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2417      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2418    */
2419   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2420   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2421   if (!func) {
2422     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2423   }
2424   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2425      Otherwise, the SNES will use coloring internally to form the Jacobian.
2426    */
2427   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2428   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2429   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2430   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2431   if (!jac && (ijac || i2jac || rhsjac)) {
2432     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2433   }
2434   ts->setupcalled = PETSC_TRUE;
2435   PetscFunctionReturn(0);
2436 }
2437 
2438 #undef __FUNCT__
2439 #define __FUNCT__ "TSAdjointSetUp"
2440 /*@
2441    TSAdjointSetUp - Sets up the internal data structures for the later use
2442    of an adjoint solver
2443 
2444    Collective on TS
2445 
2446    Input Parameter:
2447 .  ts - the TS context obtained from TSCreate()
2448 
2449    Level: advanced
2450 
2451 .keywords: TS, timestep, setup
2452 
2453 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2454 @*/
2455 PetscErrorCode  TSAdjointSetUp(TS ts)
2456 {
2457   PetscErrorCode ierr;
2458 
2459   PetscFunctionBegin;
2460   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2461   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2462   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2463 
2464   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2465     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2466     if (ts->vecs_sensip){
2467       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2468     }
2469   }
2470 
2471   if (ts->ops->adjointsetup) {
2472     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2473   }
2474   ts->adjointsetupcalled = PETSC_TRUE;
2475   PetscFunctionReturn(0);
2476 }
2477 
2478 #undef __FUNCT__
2479 #define __FUNCT__ "TSReset"
2480 /*@
2481    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2482 
2483    Collective on TS
2484 
2485    Input Parameter:
2486 .  ts - the TS context obtained from TSCreate()
2487 
2488    Level: beginner
2489 
2490 .keywords: TS, timestep, reset
2491 
2492 .seealso: TSCreate(), TSSetup(), TSDestroy()
2493 @*/
2494 PetscErrorCode  TSReset(TS ts)
2495 {
2496   PetscErrorCode ierr;
2497 
2498   PetscFunctionBegin;
2499   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2500 
2501   if (ts->ops->reset) {
2502     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2503   }
2504   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2505   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2506 
2507   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2508   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2509   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2510   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2511   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2512   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2513   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2514   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2515 
2516  if (ts->vec_costintegral) {
2517     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2518     if (ts->vecs_drdp){
2519       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2520     }
2521   }
2522   ts->vecs_sensi  = NULL;
2523   ts->vecs_sensip = NULL;
2524   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2525   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2526   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2527   ts->setupcalled = PETSC_FALSE;
2528   PetscFunctionReturn(0);
2529 }
2530 
2531 #undef __FUNCT__
2532 #define __FUNCT__ "TSDestroy"
2533 /*@
2534    TSDestroy - Destroys the timestepper context that was created
2535    with TSCreate().
2536 
2537    Collective on TS
2538 
2539    Input Parameter:
2540 .  ts - the TS context obtained from TSCreate()
2541 
2542    Level: beginner
2543 
2544 .keywords: TS, timestepper, destroy
2545 
2546 .seealso: TSCreate(), TSSetUp(), TSSolve()
2547 @*/
2548 PetscErrorCode  TSDestroy(TS *ts)
2549 {
2550   PetscErrorCode ierr;
2551 
2552   PetscFunctionBegin;
2553   if (!*ts) PetscFunctionReturn(0);
2554   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2555   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2556 
2557   ierr = TSReset((*ts));CHKERRQ(ierr);
2558 
2559   /* if memory was published with SAWs then destroy it */
2560   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2561   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2562 
2563   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2564 
2565   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2566   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2567 
2568   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2569   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2570   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2571   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2572 
2573   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2574   PetscFunctionReturn(0);
2575 }
2576 
2577 #undef __FUNCT__
2578 #define __FUNCT__ "TSGetSNES"
2579 /*@
2580    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2581    a TS (timestepper) context. Valid only for nonlinear problems.
2582 
2583    Not Collective, but SNES is parallel if TS is parallel
2584 
2585    Input Parameter:
2586 .  ts - the TS context obtained from TSCreate()
2587 
2588    Output Parameter:
2589 .  snes - the nonlinear solver context
2590 
2591    Notes:
2592    The user can then directly manipulate the SNES context to set various
2593    options, etc.  Likewise, the user can then extract and manipulate the
2594    KSP, KSP, and PC contexts as well.
2595 
2596    TSGetSNES() does not work for integrators that do not use SNES; in
2597    this case TSGetSNES() returns NULL in snes.
2598 
2599    Level: beginner
2600 
2601 .keywords: timestep, get, SNES
2602 @*/
2603 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2604 {
2605   PetscErrorCode ierr;
2606 
2607   PetscFunctionBegin;
2608   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2609   PetscValidPointer(snes,2);
2610   if (!ts->snes) {
2611     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2612     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2613     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2614     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2615     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2616     if (ts->problem_type == TS_LINEAR) {
2617       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2618     }
2619   }
2620   *snes = ts->snes;
2621   PetscFunctionReturn(0);
2622 }
2623 
2624 #undef __FUNCT__
2625 #define __FUNCT__ "TSSetSNES"
2626 /*@
2627    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2628 
2629    Collective
2630 
2631    Input Parameter:
2632 +  ts - the TS context obtained from TSCreate()
2633 -  snes - the nonlinear solver context
2634 
2635    Notes:
2636    Most users should have the TS created by calling TSGetSNES()
2637 
2638    Level: developer
2639 
2640 .keywords: timestep, set, SNES
2641 @*/
2642 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2643 {
2644   PetscErrorCode ierr;
2645   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2646 
2647   PetscFunctionBegin;
2648   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2649   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2650   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2651   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2652 
2653   ts->snes = snes;
2654 
2655   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2656   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2657   if (func == SNESTSFormJacobian) {
2658     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2659   }
2660   PetscFunctionReturn(0);
2661 }
2662 
2663 #undef __FUNCT__
2664 #define __FUNCT__ "TSGetKSP"
2665 /*@
2666    TSGetKSP - Returns the KSP (linear solver) associated with
2667    a TS (timestepper) context.
2668 
2669    Not Collective, but KSP is parallel if TS is parallel
2670 
2671    Input Parameter:
2672 .  ts - the TS context obtained from TSCreate()
2673 
2674    Output Parameter:
2675 .  ksp - the nonlinear solver context
2676 
2677    Notes:
2678    The user can then directly manipulate the KSP context to set various
2679    options, etc.  Likewise, the user can then extract and manipulate the
2680    KSP and PC contexts as well.
2681 
2682    TSGetKSP() does not work for integrators that do not use KSP;
2683    in this case TSGetKSP() returns NULL in ksp.
2684 
2685    Level: beginner
2686 
2687 .keywords: timestep, get, KSP
2688 @*/
2689 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2690 {
2691   PetscErrorCode ierr;
2692   SNES           snes;
2693 
2694   PetscFunctionBegin;
2695   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2696   PetscValidPointer(ksp,2);
2697   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2698   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2699   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2700   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2701   PetscFunctionReturn(0);
2702 }
2703 
2704 /* ----------- Routines to set solver parameters ---------- */
2705 
2706 #undef __FUNCT__
2707 #define __FUNCT__ "TSGetDuration"
2708 /*@
2709    TSGetDuration - Gets the maximum number of timesteps to use and
2710    maximum time for iteration.
2711 
2712    Not Collective
2713 
2714    Input Parameters:
2715 +  ts       - the TS context obtained from TSCreate()
2716 .  maxsteps - maximum number of iterations to use, or NULL
2717 -  maxtime  - final time to iterate to, or NULL
2718 
2719    Level: intermediate
2720 
2721 .keywords: TS, timestep, get, maximum, iterations, time
2722 @*/
2723 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2724 {
2725   PetscFunctionBegin;
2726   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2727   if (maxsteps) {
2728     PetscValidIntPointer(maxsteps,2);
2729     *maxsteps = ts->max_steps;
2730   }
2731   if (maxtime) {
2732     PetscValidScalarPointer(maxtime,3);
2733     *maxtime = ts->max_time;
2734   }
2735   PetscFunctionReturn(0);
2736 }
2737 
2738 #undef __FUNCT__
2739 #define __FUNCT__ "TSSetDuration"
2740 /*@
2741    TSSetDuration - Sets the maximum number of timesteps to use and
2742    maximum time for iteration.
2743 
2744    Logically Collective on TS
2745 
2746    Input Parameters:
2747 +  ts - the TS context obtained from TSCreate()
2748 .  maxsteps - maximum number of iterations to use
2749 -  maxtime - final time to iterate to
2750 
2751    Options Database Keys:
2752 .  -ts_max_steps <maxsteps> - Sets maxsteps
2753 .  -ts_final_time <maxtime> - Sets maxtime
2754 
2755    Notes:
2756    The default maximum number of iterations is 5000. Default time is 5.0
2757 
2758    Level: intermediate
2759 
2760 .keywords: TS, timestep, set, maximum, iterations
2761 
2762 .seealso: TSSetExactFinalTime()
2763 @*/
2764 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2765 {
2766   PetscFunctionBegin;
2767   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2768   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2769   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2770   if (maxsteps >= 0) ts->max_steps = maxsteps;
2771   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2772   PetscFunctionReturn(0);
2773 }
2774 
2775 #undef __FUNCT__
2776 #define __FUNCT__ "TSSetSolution"
2777 /*@
2778    TSSetSolution - Sets the initial solution vector
2779    for use by the TS routines.
2780 
2781    Logically Collective on TS and Vec
2782 
2783    Input Parameters:
2784 +  ts - the TS context obtained from TSCreate()
2785 -  u - the solution vector
2786 
2787    Level: beginner
2788 
2789 .keywords: TS, timestep, set, solution, initial conditions
2790 @*/
2791 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2792 {
2793   PetscErrorCode ierr;
2794   DM             dm;
2795 
2796   PetscFunctionBegin;
2797   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2798   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2799   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2800   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2801   ts->vec_sol = u;
2802 
2803   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2804   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2805   PetscFunctionReturn(0);
2806 }
2807 
2808 #undef __FUNCT__
2809 #define __FUNCT__ "TSAdjointSetSteps"
2810 /*@
2811    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2812 
2813    Logically Collective on TS
2814 
2815    Input Parameters:
2816 +  ts - the TS context obtained from TSCreate()
2817 .  steps - number of steps to use
2818 
2819    Level: intermediate
2820 
2821    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2822           so as to integrate back to less than the original timestep
2823 
2824 .keywords: TS, timestep, set, maximum, iterations
2825 
2826 .seealso: TSSetExactFinalTime()
2827 @*/
2828 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2829 {
2830   PetscFunctionBegin;
2831   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2832   PetscValidLogicalCollectiveInt(ts,steps,2);
2833   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2834   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2835   ts->adjoint_max_steps = steps;
2836   PetscFunctionReturn(0);
2837 }
2838 
2839 #undef __FUNCT__
2840 #define __FUNCT__ "TSSetCostGradients"
2841 /*@
2842    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2843       for use by the TSAdjoint routines.
2844 
2845    Logically Collective on TS and Vec
2846 
2847    Input Parameters:
2848 +  ts - the TS context obtained from TSCreate()
2849 .  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
2850 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2851 
2852    Level: beginner
2853 
2854    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2855 
2856 .keywords: TS, timestep, set, sensitivity, initial conditions
2857 @*/
2858 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2859 {
2860   PetscFunctionBegin;
2861   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2862   PetscValidPointer(lambda,2);
2863   ts->vecs_sensi  = lambda;
2864   ts->vecs_sensip = mu;
2865   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");
2866   ts->numcost  = numcost;
2867   PetscFunctionReturn(0);
2868 }
2869 
2870 #undef __FUNCT__
2871 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2872 /*@C
2873   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.
2874 
2875   Logically Collective on TS
2876 
2877   Input Parameters:
2878 + ts   - The TS context obtained from TSCreate()
2879 - func - The function
2880 
2881   Calling sequence of func:
2882 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2883 +   t - current timestep
2884 .   y - input vector (current ODE solution)
2885 .   A - output matrix
2886 -   ctx - [optional] user-defined function context
2887 
2888   Level: intermediate
2889 
2890   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
2891 
2892 .keywords: TS, sensitivity
2893 .seealso:
2894 @*/
2895 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2896 {
2897   PetscErrorCode ierr;
2898 
2899   PetscFunctionBegin;
2900   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2901   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2902 
2903   ts->rhsjacobianp    = func;
2904   ts->rhsjacobianpctx = ctx;
2905   if(Amat) {
2906     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2907     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2908     ts->Jacp = Amat;
2909   }
2910   PetscFunctionReturn(0);
2911 }
2912 
2913 #undef __FUNCT__
2914 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2915 /*@C
2916   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2917 
2918   Collective on TS
2919 
2920   Input Parameters:
2921 . ts   - The TS context obtained from TSCreate()
2922 
2923   Level: developer
2924 
2925 .keywords: TS, sensitivity
2926 .seealso: TSAdjointSetRHSJacobian()
2927 @*/
2928 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2929 {
2930   PetscErrorCode ierr;
2931 
2932   PetscFunctionBegin;
2933   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2934   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2935   PetscValidPointer(Amat,4);
2936 
2937   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2938   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2939   PetscStackPop;
2940   PetscFunctionReturn(0);
2941 }
2942 
2943 #undef __FUNCT__
2944 #define __FUNCT__ "TSSetCostIntegrand"
2945 /*@C
2946     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2947 
2948     Logically Collective on TS
2949 
2950     Input Parameters:
2951 +   ts - the TS context obtained from TSCreate()
2952 .   numcost - number of gradients to be computed, this is the number of cost functions
2953 .   rf - routine for evaluating the integrand function
2954 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2955 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2956 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
2957 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2958 
2959     Calling sequence of rf:
2960 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2961 
2962 +   t - current timestep
2963 .   y - input vector
2964 .   f - function result; one vector entry for each cost function
2965 -   ctx - [optional] user-defined function context
2966 
2967    Calling sequence of drdyf:
2968 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2969 
2970    Calling sequence of drdpf:
2971 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2972 
2973     Level: intermediate
2974 
2975     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2976 
2977 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2978 
2979 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2980 @*/
2981 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2982                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2983                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
2984                                                           PetscBool fwd,void *ctx)
2985 {
2986   PetscErrorCode ierr;
2987 
2988   PetscFunctionBegin;
2989   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2990   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()");
2991   if (!ts->numcost) ts->numcost=numcost;
2992 
2993   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
2994   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2995   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2996   ts->costintegrand    = rf;
2997   ts->costintegrandctx = ctx;
2998   ts->drdyfunction     = drdyf;
2999   ts->drdpfunction     = drdpf;
3000   PetscFunctionReturn(0);
3001 }
3002 
3003 #undef __FUNCT__
3004 #define __FUNCT__ "TSGetCostIntegral"
3005 /*@
3006    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
3007    It is valid to call the routine after a backward run.
3008 
3009    Not Collective
3010 
3011    Input Parameter:
3012 .  ts - the TS context obtained from TSCreate()
3013 
3014    Output Parameter:
3015 .  v - the vector containing the integrals for each cost function
3016 
3017    Level: intermediate
3018 
3019 .seealso: TSSetCostIntegrand()
3020 
3021 .keywords: TS, sensitivity analysis
3022 @*/
3023 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3024 {
3025   PetscFunctionBegin;
3026   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3027   PetscValidPointer(v,2);
3028   *v = ts->vec_costintegral;
3029   PetscFunctionReturn(0);
3030 }
3031 
3032 #undef __FUNCT__
3033 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3034 /*@
3035    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3036 
3037    Input Parameters:
3038 +  ts - the TS context
3039 .  t - current time
3040 -  y - state vector, i.e. current solution
3041 
3042    Output Parameter:
3043 .  q - vector of size numcost to hold the outputs
3044 
3045    Note:
3046    Most users should not need to explicitly call this routine, as it
3047    is used internally within the sensitivity analysis context.
3048 
3049    Level: developer
3050 
3051 .keywords: TS, compute
3052 
3053 .seealso: TSSetCostIntegrand()
3054 @*/
3055 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3056 {
3057   PetscErrorCode ierr;
3058 
3059   PetscFunctionBegin;
3060   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3061   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3062   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3063 
3064   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3065   if (ts->costintegrand) {
3066     PetscStackPush("TS user integrand in the cost function");
3067     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3068     PetscStackPop;
3069   } else {
3070     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3071   }
3072 
3073   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3074   PetscFunctionReturn(0);
3075 }
3076 
3077 #undef __FUNCT__
3078 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3079 /*@
3080   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3081 
3082   Collective on TS
3083 
3084   Input Parameters:
3085 . ts   - The TS context obtained from TSCreate()
3086 
3087   Notes:
3088   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3089   so most users would not generally call this routine themselves.
3090 
3091   Level: developer
3092 
3093 .keywords: TS, sensitivity
3094 .seealso: TSAdjointComputeDRDYFunction()
3095 @*/
3096 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3097 {
3098   PetscErrorCode ierr;
3099 
3100   PetscFunctionBegin;
3101   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3102   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3103 
3104   PetscStackPush("TS user DRDY function for sensitivity analysis");
3105   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3106   PetscStackPop;
3107   PetscFunctionReturn(0);
3108 }
3109 
3110 #undef __FUNCT__
3111 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3112 /*@
3113   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3114 
3115   Collective on TS
3116 
3117   Input Parameters:
3118 . ts   - The TS context obtained from TSCreate()
3119 
3120   Notes:
3121   TSDRDPFunction() is typically used for sensitivity implementation,
3122   so most users would not generally call this routine themselves.
3123 
3124   Level: developer
3125 
3126 .keywords: TS, sensitivity
3127 .seealso: TSAdjointSetDRDPFunction()
3128 @*/
3129 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3130 {
3131   PetscErrorCode ierr;
3132 
3133   PetscFunctionBegin;
3134   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3135   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3136 
3137   PetscStackPush("TS user DRDP function for sensitivity analysis");
3138   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3139   PetscStackPop;
3140   PetscFunctionReturn(0);
3141 }
3142 
3143 #undef __FUNCT__
3144 #define __FUNCT__ "TSSetPreStep"
3145 /*@C
3146   TSSetPreStep - Sets the general-purpose function
3147   called once at the beginning of each time step.
3148 
3149   Logically Collective on TS
3150 
3151   Input Parameters:
3152 + ts   - The TS context obtained from TSCreate()
3153 - func - The function
3154 
3155   Calling sequence of func:
3156 . func (TS ts);
3157 
3158   Level: intermediate
3159 
3160   Note:
3161   If a step is rejected, TSStep() will call this routine again before each attempt.
3162   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3163   size of the step being attempted can be obtained using TSGetTimeStep().
3164 
3165 .keywords: TS, timestep
3166 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3167 @*/
3168 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3169 {
3170   PetscFunctionBegin;
3171   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3172   ts->prestep = func;
3173   PetscFunctionReturn(0);
3174 }
3175 
3176 #undef __FUNCT__
3177 #define __FUNCT__ "TSPreStep"
3178 /*@
3179   TSPreStep - Runs the user-defined pre-step function.
3180 
3181   Collective on TS
3182 
3183   Input Parameters:
3184 . ts   - The TS context obtained from TSCreate()
3185 
3186   Notes:
3187   TSPreStep() is typically used within time stepping implementations,
3188   so most users would not generally call this routine themselves.
3189 
3190   Level: developer
3191 
3192 .keywords: TS, timestep
3193 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3194 @*/
3195 PetscErrorCode  TSPreStep(TS ts)
3196 {
3197   PetscErrorCode ierr;
3198 
3199   PetscFunctionBegin;
3200   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3201   if (ts->prestep) {
3202     PetscStackCallStandard((*ts->prestep),(ts));
3203   }
3204   PetscFunctionReturn(0);
3205 }
3206 
3207 #undef __FUNCT__
3208 #define __FUNCT__ "TSSetPreStage"
3209 /*@C
3210   TSSetPreStage - Sets the general-purpose function
3211   called once at the beginning of each stage.
3212 
3213   Logically Collective on TS
3214 
3215   Input Parameters:
3216 + ts   - The TS context obtained from TSCreate()
3217 - func - The function
3218 
3219   Calling sequence of func:
3220 . PetscErrorCode func(TS ts, PetscReal stagetime);
3221 
3222   Level: intermediate
3223 
3224   Note:
3225   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3226   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3227   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3228 
3229 .keywords: TS, timestep
3230 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3231 @*/
3232 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3233 {
3234   PetscFunctionBegin;
3235   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3236   ts->prestage = func;
3237   PetscFunctionReturn(0);
3238 }
3239 
3240 #undef __FUNCT__
3241 #define __FUNCT__ "TSSetPostStage"
3242 /*@C
3243   TSSetPostStage - Sets the general-purpose function
3244   called once at the end of each stage.
3245 
3246   Logically Collective on TS
3247 
3248   Input Parameters:
3249 + ts   - The TS context obtained from TSCreate()
3250 - func - The function
3251 
3252   Calling sequence of func:
3253 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3254 
3255   Level: intermediate
3256 
3257   Note:
3258   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3259   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3260   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3261 
3262 .keywords: TS, timestep
3263 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3264 @*/
3265 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3266 {
3267   PetscFunctionBegin;
3268   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3269   ts->poststage = func;
3270   PetscFunctionReturn(0);
3271 }
3272 
3273 #undef __FUNCT__
3274 #define __FUNCT__ "TSSetPostEvaluate"
3275 /*@C
3276   TSSetPostEvaluate - Sets the general-purpose function
3277   called once at the end of each step evaluation.
3278 
3279   Logically Collective on TS
3280 
3281   Input Parameters:
3282 + ts   - The TS context obtained from TSCreate()
3283 - func - The function
3284 
3285   Calling sequence of func:
3286 . PetscErrorCode func(TS ts);
3287 
3288   Level: intermediate
3289 
3290   Note:
3291   Semantically, TSSetPostEvaluate() differs from TSSetPostStep() since the function it sets is called before event-handling
3292   thus guaranteeing the same solution (computed by the time-stepper) will be passed to it. On the other hand, TSPostStep()
3293   may be passed a different solution, possibly changed by the event handler. TSPostEvaluate() is called after the next step
3294   solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step
3295   with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3296 
3297 .keywords: TS, timestep
3298 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3299 @*/
3300 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3301 {
3302   PetscFunctionBegin;
3303   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3304   ts->postevaluate = func;
3305   PetscFunctionReturn(0);
3306 }
3307 
3308 #undef __FUNCT__
3309 #define __FUNCT__ "TSPreStage"
3310 /*@
3311   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3312 
3313   Collective on TS
3314 
3315   Input Parameters:
3316 . ts          - The TS context obtained from TSCreate()
3317   stagetime   - The absolute time of the current stage
3318 
3319   Notes:
3320   TSPreStage() is typically used within time stepping implementations,
3321   most users would not generally call this routine themselves.
3322 
3323   Level: developer
3324 
3325 .keywords: TS, timestep
3326 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3327 @*/
3328 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3329 {
3330   PetscErrorCode ierr;
3331 
3332   PetscFunctionBegin;
3333   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3334   if (ts->prestage) {
3335     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3336   }
3337   PetscFunctionReturn(0);
3338 }
3339 
3340 #undef __FUNCT__
3341 #define __FUNCT__ "TSPostStage"
3342 /*@
3343   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3344 
3345   Collective on TS
3346 
3347   Input Parameters:
3348 . ts          - The TS context obtained from TSCreate()
3349   stagetime   - The absolute time of the current stage
3350   stageindex  - Stage number
3351   Y           - Array of vectors (of size = total number
3352                 of stages) with the stage solutions
3353 
3354   Notes:
3355   TSPostStage() is typically used within time stepping implementations,
3356   most users would not generally call this routine themselves.
3357 
3358   Level: developer
3359 
3360 .keywords: TS, timestep
3361 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3362 @*/
3363 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3364 {
3365   PetscErrorCode ierr;
3366 
3367   PetscFunctionBegin;
3368   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3369   if (ts->poststage) {
3370     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3371   }
3372   PetscFunctionReturn(0);
3373 }
3374 
3375 #undef __FUNCT__
3376 #define __FUNCT__ "TSPostEvaluate"
3377 /*@
3378   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3379 
3380   Collective on TS
3381 
3382   Input Parameters:
3383 . ts          - The TS context obtained from TSCreate()
3384 
3385   Notes:
3386   TSPostEvaluate() is typically used within time stepping implementations,
3387   most users would not generally call this routine themselves.
3388 
3389   Level: developer
3390 
3391 .keywords: TS, timestep
3392 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3393 @*/
3394 PetscErrorCode  TSPostEvaluate(TS ts)
3395 {
3396   PetscErrorCode ierr;
3397 
3398   PetscFunctionBegin;
3399   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3400   if (ts->postevaluate) {
3401     PetscStackCallStandard((*ts->postevaluate),(ts));
3402   }
3403   PetscFunctionReturn(0);
3404 }
3405 
3406 #undef __FUNCT__
3407 #define __FUNCT__ "TSSetPostStep"
3408 /*@C
3409   TSSetPostStep - Sets the general-purpose function
3410   called once at the end of each time step.
3411 
3412   Logically Collective on TS
3413 
3414   Input Parameters:
3415 + ts   - The TS context obtained from TSCreate()
3416 - func - The function
3417 
3418   Calling sequence of func:
3419 $ func (TS ts);
3420 
3421   Notes:
3422   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3423   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3424   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3425 
3426   Level: intermediate
3427 
3428 .keywords: TS, timestep
3429 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3430 @*/
3431 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3432 {
3433   PetscFunctionBegin;
3434   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3435   ts->poststep = func;
3436   PetscFunctionReturn(0);
3437 }
3438 
3439 #undef __FUNCT__
3440 #define __FUNCT__ "TSPostStep"
3441 /*@
3442   TSPostStep - Runs the user-defined post-step function.
3443 
3444   Collective on TS
3445 
3446   Input Parameters:
3447 . ts   - The TS context obtained from TSCreate()
3448 
3449   Notes:
3450   TSPostStep() is typically used within time stepping implementations,
3451   so most users would not generally call this routine themselves.
3452 
3453   Level: developer
3454 
3455 .keywords: TS, timestep
3456 @*/
3457 PetscErrorCode  TSPostStep(TS ts)
3458 {
3459   PetscErrorCode ierr;
3460 
3461   PetscFunctionBegin;
3462   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3463   if (ts->poststep) {
3464     PetscStackCallStandard((*ts->poststep),(ts));
3465   }
3466   PetscFunctionReturn(0);
3467 }
3468 
3469 /* ------------ Routines to set performance monitoring options ----------- */
3470 
3471 #undef __FUNCT__
3472 #define __FUNCT__ "TSMonitorSet"
3473 /*@C
3474    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3475    timestep to display the iteration's  progress.
3476 
3477    Logically Collective on TS
3478 
3479    Input Parameters:
3480 +  ts - the TS context obtained from TSCreate()
3481 .  monitor - monitoring routine
3482 .  mctx - [optional] user-defined context for private data for the
3483              monitor routine (use NULL if no context is desired)
3484 -  monitordestroy - [optional] routine that frees monitor context
3485           (may be NULL)
3486 
3487    Calling sequence of monitor:
3488 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3489 
3490 +    ts - the TS context
3491 .    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)
3492 .    time - current time
3493 .    u - current iterate
3494 -    mctx - [optional] monitoring context
3495 
3496    Notes:
3497    This routine adds an additional monitor to the list of monitors that
3498    already has been loaded.
3499 
3500    Fortran notes: Only a single monitor function can be set for each TS object
3501 
3502    Level: intermediate
3503 
3504 .keywords: TS, timestep, set, monitor
3505 
3506 .seealso: TSMonitorDefault(), TSMonitorCancel()
3507 @*/
3508 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3509 {
3510   PetscErrorCode ierr;
3511   PetscInt       i;
3512   PetscBool      identical;
3513 
3514   PetscFunctionBegin;
3515   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3516   for (i=0; i<ts->numbermonitors;i++) {
3517     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3518     if (identical) PetscFunctionReturn(0);
3519   }
3520   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3521   ts->monitor[ts->numbermonitors]          = monitor;
3522   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3523   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3524   PetscFunctionReturn(0);
3525 }
3526 
3527 #undef __FUNCT__
3528 #define __FUNCT__ "TSMonitorCancel"
3529 /*@C
3530    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3531 
3532    Logically Collective on TS
3533 
3534    Input Parameters:
3535 .  ts - the TS context obtained from TSCreate()
3536 
3537    Notes:
3538    There is no way to remove a single, specific monitor.
3539 
3540    Level: intermediate
3541 
3542 .keywords: TS, timestep, set, monitor
3543 
3544 .seealso: TSMonitorDefault(), TSMonitorSet()
3545 @*/
3546 PetscErrorCode  TSMonitorCancel(TS ts)
3547 {
3548   PetscErrorCode ierr;
3549   PetscInt       i;
3550 
3551   PetscFunctionBegin;
3552   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3553   for (i=0; i<ts->numbermonitors; i++) {
3554     if (ts->monitordestroy[i]) {
3555       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3556     }
3557   }
3558   ts->numbermonitors = 0;
3559   PetscFunctionReturn(0);
3560 }
3561 
3562 #undef __FUNCT__
3563 #define __FUNCT__ "TSMonitorDefault"
3564 /*@C
3565    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3566 
3567    Level: intermediate
3568 
3569 .keywords: TS, set, monitor
3570 
3571 .seealso:  TSMonitorSet()
3572 @*/
3573 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3574 {
3575   PetscErrorCode ierr;
3576   PetscViewer    viewer =  vf->viewer;
3577   PetscBool      iascii,ibinary;
3578 
3579   PetscFunctionBegin;
3580   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3581   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3582   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3583   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3584   if (iascii) {
3585     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3586     if (step == -1){ /* this indicates it is an interpolated solution */
3587       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3588     } else {
3589       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3590     }
3591     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3592   } else if (ibinary) {
3593     PetscMPIInt rank;
3594     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3595     if (!rank) {
3596       PetscBool skipHeader;
3597       PetscInt  classid = REAL_FILE_CLASSID;
3598 
3599       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3600       if (!skipHeader) {
3601          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3602        }
3603       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3604     } else {
3605       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3606     }
3607   }
3608   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3609   PetscFunctionReturn(0);
3610 }
3611 
3612 #undef __FUNCT__
3613 #define __FUNCT__ "TSAdjointMonitorSet"
3614 /*@C
3615    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3616    timestep to display the iteration's  progress.
3617 
3618    Logically Collective on TS
3619 
3620    Input Parameters:
3621 +  ts - the TS context obtained from TSCreate()
3622 .  adjointmonitor - monitoring routine
3623 .  adjointmctx - [optional] user-defined context for private data for the
3624              monitor routine (use NULL if no context is desired)
3625 -  adjointmonitordestroy - [optional] routine that frees monitor context
3626           (may be NULL)
3627 
3628    Calling sequence of monitor:
3629 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3630 
3631 +    ts - the TS context
3632 .    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
3633                                been interpolated to)
3634 .    time - current time
3635 .    u - current iterate
3636 .    numcost - number of cost functionos
3637 .    lambda - sensitivities to initial conditions
3638 .    mu - sensitivities to parameters
3639 -    adjointmctx - [optional] adjoint monitoring context
3640 
3641    Notes:
3642    This routine adds an additional monitor to the list of monitors that
3643    already has been loaded.
3644 
3645    Fortran notes: Only a single monitor function can be set for each TS object
3646 
3647    Level: intermediate
3648 
3649 .keywords: TS, timestep, set, adjoint, monitor
3650 
3651 .seealso: TSAdjointMonitorCancel()
3652 @*/
3653 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3654 {
3655   PetscErrorCode ierr;
3656   PetscInt       i;
3657   PetscBool      identical;
3658 
3659   PetscFunctionBegin;
3660   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3661   for (i=0; i<ts->numbermonitors;i++) {
3662     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3663     if (identical) PetscFunctionReturn(0);
3664   }
3665   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3666   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3667   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3668   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3669   PetscFunctionReturn(0);
3670 }
3671 
3672 #undef __FUNCT__
3673 #define __FUNCT__ "TSAdjointMonitorCancel"
3674 /*@C
3675    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3676 
3677    Logically Collective on TS
3678 
3679    Input Parameters:
3680 .  ts - the TS context obtained from TSCreate()
3681 
3682    Notes:
3683    There is no way to remove a single, specific monitor.
3684 
3685    Level: intermediate
3686 
3687 .keywords: TS, timestep, set, adjoint, monitor
3688 
3689 .seealso: TSAdjointMonitorSet()
3690 @*/
3691 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3692 {
3693   PetscErrorCode ierr;
3694   PetscInt       i;
3695 
3696   PetscFunctionBegin;
3697   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3698   for (i=0; i<ts->numberadjointmonitors; i++) {
3699     if (ts->adjointmonitordestroy[i]) {
3700       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3701     }
3702   }
3703   ts->numberadjointmonitors = 0;
3704   PetscFunctionReturn(0);
3705 }
3706 
3707 #undef __FUNCT__
3708 #define __FUNCT__ "TSAdjointMonitorDefault"
3709 /*@C
3710    TSAdjointMonitorDefault - the default monitor of adjoint computations
3711 
3712    Level: intermediate
3713 
3714 .keywords: TS, set, monitor
3715 
3716 .seealso: TSAdjointMonitorSet()
3717 @*/
3718 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3719 {
3720   PetscErrorCode ierr;
3721   PetscViewer    viewer = vf->viewer;
3722 
3723   PetscFunctionBegin;
3724   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3725   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3726   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3727   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3728   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3729   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3730   PetscFunctionReturn(0);
3731 }
3732 
3733 #undef __FUNCT__
3734 #define __FUNCT__ "TSInterpolate"
3735 /*@
3736    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3737 
3738    Collective on TS
3739 
3740    Input Argument:
3741 +  ts - time stepping context
3742 -  t - time to interpolate to
3743 
3744    Output Argument:
3745 .  U - state at given time
3746 
3747    Level: intermediate
3748 
3749    Developer Notes:
3750    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3751 
3752 .keywords: TS, set
3753 
3754 .seealso: TSSetExactFinalTime(), TSSolve()
3755 @*/
3756 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3757 {
3758   PetscErrorCode ierr;
3759 
3760   PetscFunctionBegin;
3761   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3762   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3763   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);
3764   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3765   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3766   PetscFunctionReturn(0);
3767 }
3768 
3769 #undef __FUNCT__
3770 #define __FUNCT__ "TSStep"
3771 /*@
3772    TSStep - Steps one time step
3773 
3774    Collective on TS
3775 
3776    Input Parameter:
3777 .  ts - the TS context obtained from TSCreate()
3778 
3779    Level: developer
3780 
3781    Notes:
3782    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3783 
3784    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3785    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3786 
3787    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3788    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3789 
3790 .keywords: TS, timestep, solve
3791 
3792 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3793 @*/
3794 PetscErrorCode  TSStep(TS ts)
3795 {
3796   PetscErrorCode   ierr;
3797   static PetscBool cite = PETSC_FALSE;
3798   PetscReal        ptime;
3799 
3800   PetscFunctionBegin;
3801   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3802   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3803                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3804                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3805                                 "  type        = {Preprint},\n"
3806                                 "  number      = {ANL/MCS-P5061-0114},\n"
3807                                 "  institution = {Argonne National Laboratory},\n"
3808                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3809 
3810   ierr = TSSetUp(ts);CHKERRQ(ierr);
3811   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3812 
3813   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()");
3814   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");
3815 
3816   if (!ts->steps) ts->ptime_prev = ts->ptime;
3817   ts->reason = TS_CONVERGED_ITERATING;
3818   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3819   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3820   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3821   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3822   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3823   ts->ptime_prev = ptime;
3824   ts->steps++; ts->total_steps++;
3825   ts->steprollback = PETSC_FALSE;
3826   ts->steprestart  = PETSC_FALSE;
3827 
3828   if (ts->reason < 0) {
3829     if (ts->errorifstepfailed) {
3830       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]);
3831       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3832     }
3833   } else if (!ts->reason) {
3834     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3835     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3836   }
3837   PetscFunctionReturn(0);
3838 }
3839 
3840 #undef __FUNCT__
3841 #define __FUNCT__ "TSAdjointStep"
3842 /*@
3843    TSAdjointStep - Steps one time step backward in the adjoint run
3844 
3845    Collective on TS
3846 
3847    Input Parameter:
3848 .  ts - the TS context obtained from TSCreate()
3849 
3850    Level: intermediate
3851 
3852 .keywords: TS, adjoint, step
3853 
3854 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3855 @*/
3856 PetscErrorCode  TSAdjointStep(TS ts)
3857 {
3858   DM               dm;
3859   PetscErrorCode   ierr;
3860 
3861   PetscFunctionBegin;
3862   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3863   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3864   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3865 
3866   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3867 
3868   ts->reason = TS_CONVERGED_ITERATING;
3869   ts->ptime_prev = ts->ptime;
3870   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);
3871   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3872   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3873   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3874   ts->steps++; ts->total_steps--;
3875 
3876   if (ts->reason < 0) {
3877     if (ts->errorifstepfailed) {
3878       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]);
3879       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]);
3880       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3881     }
3882   } else if (!ts->reason) {
3883     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3884   }
3885   PetscFunctionReturn(0);
3886 }
3887 
3888 #undef __FUNCT__
3889 #define __FUNCT__ "TSEvaluateWLTE"
3890 /*@
3891    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3892    at the end of a time step with a given order of accuracy.
3893 
3894    Collective on TS
3895 
3896    Input Arguments:
3897 +  ts - time stepping context
3898 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3899 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3900 
3901    Output Arguments:
3902 +  order - optional, the actual order of the error evaluation
3903 -  wlte - the weighted local truncation error norm
3904 
3905    Level: advanced
3906 
3907    Notes:
3908    If the timestepper cannot evaluate the error in a particular step
3909    (eg. in the first step or restart steps after event handling),
3910    this routine returns wlte=-1.0 .
3911 
3912 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3913 @*/
3914 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3915 {
3916   PetscErrorCode ierr;
3917 
3918   PetscFunctionBegin;
3919   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3920   PetscValidType(ts,1);
3921   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3922   if (order) PetscValidIntPointer(order,3);
3923   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3924   PetscValidRealPointer(wlte,4);
3925   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3926   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3927   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3928   PetscFunctionReturn(0);
3929 }
3930 
3931 #undef __FUNCT__
3932 #define __FUNCT__ "TSEvaluateStep"
3933 /*@
3934    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3935 
3936    Collective on TS
3937 
3938    Input Arguments:
3939 +  ts - time stepping context
3940 .  order - desired order of accuracy
3941 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3942 
3943    Output Arguments:
3944 .  U - state at the end of the current step
3945 
3946    Level: advanced
3947 
3948    Notes:
3949    This function cannot be called until all stages have been evaluated.
3950    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.
3951 
3952 .seealso: TSStep(), TSAdapt
3953 @*/
3954 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3955 {
3956   PetscErrorCode ierr;
3957 
3958   PetscFunctionBegin;
3959   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3960   PetscValidType(ts,1);
3961   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3962   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3963   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3964   PetscFunctionReturn(0);
3965 }
3966 
3967 #undef __FUNCT__
3968 #define __FUNCT__ "TSForwardCostIntegral"
3969 /*@
3970  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3971 
3972  Collective on TS
3973 
3974  Input Arguments:
3975  .  ts - time stepping context
3976 
3977  Level: advanced
3978 
3979  Notes:
3980  This function cannot be called until TSStep() has been completed.
3981 
3982  .seealso: TSSolve(), TSAdjointCostIntegral()
3983  @*/
3984 PetscErrorCode TSForwardCostIntegral(TS ts)
3985 {
3986     PetscErrorCode ierr;
3987     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3988     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);
3989     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3990     PetscFunctionReturn(0);
3991 }
3992 
3993 #undef __FUNCT__
3994 #define __FUNCT__ "TSSolve"
3995 /*@
3996    TSSolve - Steps the requested number of timesteps.
3997 
3998    Collective on TS
3999 
4000    Input Parameter:
4001 +  ts - the TS context obtained from TSCreate()
4002 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4003                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4004 
4005    Level: beginner
4006 
4007    Notes:
4008    The final time returned by this function may be different from the time of the internally
4009    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4010    stepped over the final time.
4011 
4012 .keywords: TS, timestep, solve
4013 
4014 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4015 @*/
4016 PetscErrorCode TSSolve(TS ts,Vec u)
4017 {
4018   Vec               solution;
4019   PetscErrorCode    ierr;
4020 
4021   PetscFunctionBegin;
4022   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4023   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4024 
4025   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 */
4026     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4027     if (!ts->vec_sol || u == ts->vec_sol) {
4028       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4029       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4030       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4031     }
4032     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4033   } else if (u) {
4034     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4035   }
4036   ierr = TSSetUp(ts);CHKERRQ(ierr);
4037   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4038 
4039   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()");
4040   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");
4041 
4042   /* reset time step and iteration counters */
4043   ts->steps             = 0;
4044   ts->ksp_its           = 0;
4045   ts->snes_its          = 0;
4046   ts->num_snes_failures = 0;
4047   ts->reject            = 0;
4048   ts->reason            = TS_CONVERGED_ITERATING;
4049 
4050   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4051 
4052   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4053     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4054     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4055     ts->solvetime = ts->ptime;
4056     solution = ts->vec_sol;
4057   } else { /* Step the requested number of timesteps. */
4058     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4059     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4060     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4061     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4062     ts->steprollback = PETSC_FALSE;
4063     ts->steprestart  = PETSC_TRUE;
4064 
4065     while (!ts->reason) {
4066       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4067       if (!ts->steprollback) {
4068         ierr = TSPreStep(ts);CHKERRQ(ierr);
4069       }
4070       ierr = TSStep(ts);CHKERRQ(ierr);
4071       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4072         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4073       }
4074       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. */
4075       if (!ts->steprollback) {
4076         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4077         ierr = TSPostStep(ts);CHKERRQ(ierr);
4078       }
4079     }
4080     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4081 
4082     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4083       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4084       ts->solvetime = ts->max_time;
4085       solution = u;
4086       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4087     } else {
4088       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4089       ts->solvetime = ts->ptime;
4090       solution = ts->vec_sol;
4091     }
4092   }
4093 
4094   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4095   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4096   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4097   if (ts->adjoint_solve) {
4098     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4099   }
4100   PetscFunctionReturn(0);
4101 }
4102 
4103 #undef __FUNCT__
4104 #define __FUNCT__ "TSAdjointCostIntegral"
4105 /*@
4106  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4107 
4108  Collective on TS
4109 
4110  Input Arguments:
4111  .  ts - time stepping context
4112 
4113  Level: advanced
4114 
4115  Notes:
4116  This function cannot be called until TSAdjointStep() has been completed.
4117 
4118  .seealso: TSAdjointSolve(), TSAdjointStep
4119  @*/
4120 PetscErrorCode TSAdjointCostIntegral(TS ts)
4121 {
4122     PetscErrorCode ierr;
4123     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4124     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);
4125     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4126     PetscFunctionReturn(0);
4127 }
4128 
4129 #undef __FUNCT__
4130 #define __FUNCT__ "TSAdjointSolve"
4131 /*@
4132    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4133 
4134    Collective on TS
4135 
4136    Input Parameter:
4137 .  ts - the TS context obtained from TSCreate()
4138 
4139    Options Database:
4140 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4141 
4142    Level: intermediate
4143 
4144    Notes:
4145    This must be called after a call to TSSolve() that solves the forward problem
4146 
4147    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4148 
4149 .keywords: TS, timestep, solve
4150 
4151 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4152 @*/
4153 PetscErrorCode TSAdjointSolve(TS ts)
4154 {
4155   PetscErrorCode    ierr;
4156 
4157   PetscFunctionBegin;
4158   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4159   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4160 
4161   /* reset time step and iteration counters */
4162   ts->steps             = 0;
4163   ts->ksp_its           = 0;
4164   ts->snes_its          = 0;
4165   ts->num_snes_failures = 0;
4166   ts->reject            = 0;
4167   ts->reason            = TS_CONVERGED_ITERATING;
4168 
4169   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4170 
4171   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4172   while (!ts->reason) {
4173     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4174     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4175     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4176     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4177     if (ts->vec_costintegral && !ts->costintegralfwd) {
4178       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4179     }
4180   }
4181   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4182   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4183   ts->solvetime = ts->ptime;
4184   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4185   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4186   PetscFunctionReturn(0);
4187 }
4188 
4189 #undef __FUNCT__
4190 #define __FUNCT__ "TSMonitor"
4191 /*@C
4192    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4193 
4194    Collective on TS
4195 
4196    Input Parameters:
4197 +  ts - time stepping context obtained from TSCreate()
4198 .  step - step number that has just completed
4199 .  ptime - model time of the state
4200 -  u - state at the current model time
4201 
4202    Notes:
4203    TSMonitor() is typically used automatically within the time stepping implementations.
4204    Users would almost never call this routine directly.
4205 
4206    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4207 
4208    Level: developer
4209 
4210 .keywords: TS, timestep
4211 @*/
4212 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4213 {
4214   DM             dm;
4215   PetscInt       i,n = ts->numbermonitors;
4216   PetscErrorCode ierr;
4217 
4218   PetscFunctionBegin;
4219   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4220   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4221 
4222   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4223   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4224 
4225   ierr = VecLockPush(u);CHKERRQ(ierr);
4226   for (i=0; i<n; i++) {
4227     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4228   }
4229   ierr = VecLockPop(u);CHKERRQ(ierr);
4230   PetscFunctionReturn(0);
4231 }
4232 
4233 #undef __FUNCT__
4234 #define __FUNCT__ "TSAdjointMonitor"
4235 /*@C
4236    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4237 
4238    Collective on TS
4239 
4240    Input Parameters:
4241 +  ts - time stepping context obtained from TSCreate()
4242 .  step - step number that has just completed
4243 .  ptime - model time of the state
4244 .  u - state at the current model time
4245 .  numcost - number of cost functions (dimension of lambda  or mu)
4246 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4247 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4248 
4249    Notes:
4250    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4251    Users would almost never call this routine directly.
4252 
4253    Level: developer
4254 
4255 .keywords: TS, timestep
4256 @*/
4257 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4258 {
4259   PetscErrorCode ierr;
4260   PetscInt       i,n = ts->numberadjointmonitors;
4261 
4262   PetscFunctionBegin;
4263   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4264   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4265   ierr = VecLockPush(u);CHKERRQ(ierr);
4266   for (i=0; i<n; i++) {
4267     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4268   }
4269   ierr = VecLockPop(u);CHKERRQ(ierr);
4270   PetscFunctionReturn(0);
4271 }
4272 
4273 /* ------------------------------------------------------------------------*/
4274 #undef __FUNCT__
4275 #define __FUNCT__ "TSMonitorLGCtxCreate"
4276 /*@C
4277    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4278    TS to monitor the solution process graphically in various ways
4279 
4280    Collective on TS
4281 
4282    Input Parameters:
4283 +  host - the X display to open, or null for the local machine
4284 .  label - the title to put in the title bar
4285 .  x, y - the screen coordinates of the upper left coordinate of the window
4286 .  m, n - the screen width and height in pixels
4287 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4288 
4289    Output Parameter:
4290 .  ctx - the context
4291 
4292    Options Database Key:
4293 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4294 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4295 .  -ts_monitor_lg_error -  monitor the error
4296 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4297 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4298 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4299 
4300    Notes:
4301    Use TSMonitorLGCtxDestroy() to destroy.
4302 
4303    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4304 
4305    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4306    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
4307    as the first argument.
4308 
4309    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4310 
4311 
4312    Level: intermediate
4313 
4314 .keywords: TS, monitor, line graph, residual
4315 
4316 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4317            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4318            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4319            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4320            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4321 
4322 @*/
4323 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4324 {
4325   PetscDraw      draw;
4326   PetscErrorCode ierr;
4327 
4328   PetscFunctionBegin;
4329   ierr = PetscNew(ctx);CHKERRQ(ierr);
4330   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4331   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4332   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4333   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4334   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4335   (*ctx)->howoften = howoften;
4336   PetscFunctionReturn(0);
4337 }
4338 
4339 #undef __FUNCT__
4340 #define __FUNCT__ "TSMonitorLGTimeStep"
4341 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4342 {
4343   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4344   PetscReal      x   = ptime,y;
4345   PetscErrorCode ierr;
4346 
4347   PetscFunctionBegin;
4348   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4349   if (!step) {
4350     PetscDrawAxis axis;
4351     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4352     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4353     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4354   }
4355   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4356   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4357   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4358     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4359     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4360   }
4361   PetscFunctionReturn(0);
4362 }
4363 
4364 #undef __FUNCT__
4365 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4366 /*@C
4367    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4368    with TSMonitorLGCtxCreate().
4369 
4370    Collective on TSMonitorLGCtx
4371 
4372    Input Parameter:
4373 .  ctx - the monitor context
4374 
4375    Level: intermediate
4376 
4377 .keywords: TS, monitor, line graph, destroy
4378 
4379 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4380 @*/
4381 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4382 {
4383   PetscErrorCode ierr;
4384 
4385   PetscFunctionBegin;
4386   if ((*ctx)->transformdestroy) {
4387     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4388   }
4389   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4390   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4391   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4392   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4393   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4394   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4395   PetscFunctionReturn(0);
4396 }
4397 
4398 #undef __FUNCT__
4399 #define __FUNCT__ "TSGetTime"
4400 /*@
4401    TSGetTime - Gets the time of the most recently completed step.
4402 
4403    Not Collective
4404 
4405    Input Parameter:
4406 .  ts - the TS context obtained from TSCreate()
4407 
4408    Output Parameter:
4409 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4410 
4411    Level: beginner
4412 
4413    Note:
4414    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4415    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4416 
4417 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4418 
4419 .keywords: TS, get, time
4420 @*/
4421 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4422 {
4423   PetscFunctionBegin;
4424   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4425   PetscValidRealPointer(t,2);
4426   *t = ts->ptime;
4427   PetscFunctionReturn(0);
4428 }
4429 
4430 #undef __FUNCT__
4431 #define __FUNCT__ "TSGetPrevTime"
4432 /*@
4433    TSGetPrevTime - Gets the starting time of the previously completed step.
4434 
4435    Not Collective
4436 
4437    Input Parameter:
4438 .  ts - the TS context obtained from TSCreate()
4439 
4440    Output Parameter:
4441 .  t  - the previous time
4442 
4443    Level: beginner
4444 
4445 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4446 
4447 .keywords: TS, get, time
4448 @*/
4449 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4450 {
4451   PetscFunctionBegin;
4452   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4453   PetscValidRealPointer(t,2);
4454   *t = ts->ptime_prev;
4455   PetscFunctionReturn(0);
4456 }
4457 
4458 #undef __FUNCT__
4459 #define __FUNCT__ "TSSetTime"
4460 /*@
4461    TSSetTime - Allows one to reset the time.
4462 
4463    Logically Collective on TS
4464 
4465    Input Parameters:
4466 +  ts - the TS context obtained from TSCreate()
4467 -  time - the time
4468 
4469    Level: intermediate
4470 
4471 .seealso: TSGetTime(), TSSetDuration()
4472 
4473 .keywords: TS, set, time
4474 @*/
4475 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4476 {
4477   PetscFunctionBegin;
4478   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4479   PetscValidLogicalCollectiveReal(ts,t,2);
4480   ts->ptime = t;
4481   PetscFunctionReturn(0);
4482 }
4483 
4484 #undef __FUNCT__
4485 #define __FUNCT__ "TSSetOptionsPrefix"
4486 /*@C
4487    TSSetOptionsPrefix - Sets the prefix used for searching for all
4488    TS options in the database.
4489 
4490    Logically Collective on TS
4491 
4492    Input Parameter:
4493 +  ts     - The TS context
4494 -  prefix - The prefix to prepend to all option names
4495 
4496    Notes:
4497    A hyphen (-) must NOT be given at the beginning of the prefix name.
4498    The first character of all runtime options is AUTOMATICALLY the
4499    hyphen.
4500 
4501    Level: advanced
4502 
4503 .keywords: TS, set, options, prefix, database
4504 
4505 .seealso: TSSetFromOptions()
4506 
4507 @*/
4508 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4509 {
4510   PetscErrorCode ierr;
4511   SNES           snes;
4512 
4513   PetscFunctionBegin;
4514   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4515   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4516   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4517   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4518   PetscFunctionReturn(0);
4519 }
4520 
4521 
4522 #undef __FUNCT__
4523 #define __FUNCT__ "TSAppendOptionsPrefix"
4524 /*@C
4525    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4526    TS options in the database.
4527 
4528    Logically Collective on TS
4529 
4530    Input Parameter:
4531 +  ts     - The TS context
4532 -  prefix - The prefix to prepend to all option names
4533 
4534    Notes:
4535    A hyphen (-) must NOT be given at the beginning of the prefix name.
4536    The first character of all runtime options is AUTOMATICALLY the
4537    hyphen.
4538 
4539    Level: advanced
4540 
4541 .keywords: TS, append, options, prefix, database
4542 
4543 .seealso: TSGetOptionsPrefix()
4544 
4545 @*/
4546 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4547 {
4548   PetscErrorCode ierr;
4549   SNES           snes;
4550 
4551   PetscFunctionBegin;
4552   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4553   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4554   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4555   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4556   PetscFunctionReturn(0);
4557 }
4558 
4559 #undef __FUNCT__
4560 #define __FUNCT__ "TSGetOptionsPrefix"
4561 /*@C
4562    TSGetOptionsPrefix - Sets the prefix used for searching for all
4563    TS options in the database.
4564 
4565    Not Collective
4566 
4567    Input Parameter:
4568 .  ts - The TS context
4569 
4570    Output Parameter:
4571 .  prefix - A pointer to the prefix string used
4572 
4573    Notes: On the fortran side, the user should pass in a string 'prifix' of
4574    sufficient length to hold the prefix.
4575 
4576    Level: intermediate
4577 
4578 .keywords: TS, get, options, prefix, database
4579 
4580 .seealso: TSAppendOptionsPrefix()
4581 @*/
4582 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4583 {
4584   PetscErrorCode ierr;
4585 
4586   PetscFunctionBegin;
4587   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4588   PetscValidPointer(prefix,2);
4589   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4590   PetscFunctionReturn(0);
4591 }
4592 
4593 #undef __FUNCT__
4594 #define __FUNCT__ "TSGetRHSJacobian"
4595 /*@C
4596    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4597 
4598    Not Collective, but parallel objects are returned if TS is parallel
4599 
4600    Input Parameter:
4601 .  ts  - The TS context obtained from TSCreate()
4602 
4603    Output Parameters:
4604 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4605 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4606 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4607 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4608 
4609    Notes: You can pass in NULL for any return argument you do not need.
4610 
4611    Level: intermediate
4612 
4613 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4614 
4615 .keywords: TS, timestep, get, matrix, Jacobian
4616 @*/
4617 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4618 {
4619   PetscErrorCode ierr;
4620   SNES           snes;
4621   DM             dm;
4622 
4623   PetscFunctionBegin;
4624   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4625   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4626   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4627   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4628   PetscFunctionReturn(0);
4629 }
4630 
4631 #undef __FUNCT__
4632 #define __FUNCT__ "TSGetIJacobian"
4633 /*@C
4634    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4635 
4636    Not Collective, but parallel objects are returned if TS is parallel
4637 
4638    Input Parameter:
4639 .  ts  - The TS context obtained from TSCreate()
4640 
4641    Output Parameters:
4642 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4643 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4644 .  f   - The function to compute the matrices
4645 - ctx - User-defined context for Jacobian evaluation routine
4646 
4647    Notes: You can pass in NULL for any return argument you do not need.
4648 
4649    Level: advanced
4650 
4651 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4652 
4653 .keywords: TS, timestep, get, matrix, Jacobian
4654 @*/
4655 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4656 {
4657   PetscErrorCode ierr;
4658   SNES           snes;
4659   DM             dm;
4660 
4661   PetscFunctionBegin;
4662   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4663   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4664   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4665   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4666   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4667   PetscFunctionReturn(0);
4668 }
4669 
4670 
4671 #undef __FUNCT__
4672 #define __FUNCT__ "TSMonitorDrawSolution"
4673 /*@C
4674    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4675    VecView() for the solution at each timestep
4676 
4677    Collective on TS
4678 
4679    Input Parameters:
4680 +  ts - the TS context
4681 .  step - current time-step
4682 .  ptime - current time
4683 -  dummy - either a viewer or NULL
4684 
4685    Options Database:
4686 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4687 
4688    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4689        will look bad
4690 
4691    Level: intermediate
4692 
4693 .keywords: TS,  vector, monitor, view
4694 
4695 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4696 @*/
4697 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4698 {
4699   PetscErrorCode   ierr;
4700   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4701   PetscDraw        draw;
4702 
4703   PetscFunctionBegin;
4704   if (!step && ictx->showinitial) {
4705     if (!ictx->initialsolution) {
4706       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4707     }
4708     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4709   }
4710   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4711 
4712   if (ictx->showinitial) {
4713     PetscReal pause;
4714     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4715     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4716     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4717     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4718     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4719   }
4720   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4721   if (ictx->showtimestepandtime) {
4722     PetscReal xl,yl,xr,yr,h;
4723     char      time[32];
4724 
4725     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4726     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4727     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4728     h    = yl + .95*(yr - yl);
4729     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4730     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4731   }
4732 
4733   if (ictx->showinitial) {
4734     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4735   }
4736   PetscFunctionReturn(0);
4737 }
4738 
4739 #undef __FUNCT__
4740 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4741 /*@C
4742    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4743    VecView() for the sensitivities to initial states at each timestep
4744 
4745    Collective on TS
4746 
4747    Input Parameters:
4748 +  ts - the TS context
4749 .  step - current time-step
4750 .  ptime - current time
4751 .  u - current state
4752 .  numcost - number of cost functions
4753 .  lambda - sensitivities to initial conditions
4754 .  mu - sensitivities to parameters
4755 -  dummy - either a viewer or NULL
4756 
4757    Level: intermediate
4758 
4759 .keywords: TS,  vector, adjoint, monitor, view
4760 
4761 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4762 @*/
4763 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4764 {
4765   PetscErrorCode   ierr;
4766   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4767   PetscDraw        draw;
4768   PetscReal        xl,yl,xr,yr,h;
4769   char             time[32];
4770 
4771   PetscFunctionBegin;
4772   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4773 
4774   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4775   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4776   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4777   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4778   h    = yl + .95*(yr - yl);
4779   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4780   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4781   PetscFunctionReturn(0);
4782 }
4783 
4784 #undef __FUNCT__
4785 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4786 /*@C
4787    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4788 
4789    Collective on TS
4790 
4791    Input Parameters:
4792 +  ts - the TS context
4793 .  step - current time-step
4794 .  ptime - current time
4795 -  dummy - either a viewer or NULL
4796 
4797    Level: intermediate
4798 
4799 .keywords: TS,  vector, monitor, view
4800 
4801 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4802 @*/
4803 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4804 {
4805   PetscErrorCode    ierr;
4806   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4807   PetscDraw         draw;
4808   PetscDrawAxis     axis;
4809   PetscInt          n;
4810   PetscMPIInt       size;
4811   PetscReal         U0,U1,xl,yl,xr,yr,h;
4812   char              time[32];
4813   const PetscScalar *U;
4814 
4815   PetscFunctionBegin;
4816   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4817   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4818   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4819   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4820 
4821   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4822   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4823   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4824   if (!step) {
4825     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4826     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4827   }
4828 
4829   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4830   U0 = PetscRealPart(U[0]);
4831   U1 = PetscRealPart(U[1]);
4832   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4833   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4834 
4835   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4836   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4837   if (ictx->showtimestepandtime) {
4838     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4839     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4840     h    = yl + .95*(yr - yl);
4841     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4842   }
4843   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4844   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4845   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4846   PetscFunctionReturn(0);
4847 }
4848 
4849 
4850 #undef __FUNCT__
4851 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4852 /*@C
4853    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4854 
4855    Collective on TS
4856 
4857    Input Parameters:
4858 .    ctx - the monitor context
4859 
4860    Level: intermediate
4861 
4862 .keywords: TS,  vector, monitor, view
4863 
4864 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4865 @*/
4866 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4867 {
4868   PetscErrorCode ierr;
4869 
4870   PetscFunctionBegin;
4871   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4872   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4873   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4874   PetscFunctionReturn(0);
4875 }
4876 
4877 #undef __FUNCT__
4878 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4879 /*@C
4880    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4881 
4882    Collective on TS
4883 
4884    Input Parameter:
4885 .    ts - time-step context
4886 
4887    Output Patameter:
4888 .    ctx - the monitor context
4889 
4890    Options Database:
4891 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4892 
4893    Level: intermediate
4894 
4895 .keywords: TS,  vector, monitor, view
4896 
4897 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4898 @*/
4899 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4900 {
4901   PetscErrorCode   ierr;
4902 
4903   PetscFunctionBegin;
4904   ierr = PetscNew(ctx);CHKERRQ(ierr);
4905   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4906   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4907 
4908   (*ctx)->howoften    = howoften;
4909   (*ctx)->showinitial = PETSC_FALSE;
4910   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4911 
4912   (*ctx)->showtimestepandtime = PETSC_FALSE;
4913   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4914   PetscFunctionReturn(0);
4915 }
4916 
4917 #undef __FUNCT__
4918 #define __FUNCT__ "TSMonitorDrawError"
4919 /*@C
4920    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4921    VecView() for the error at each timestep
4922 
4923    Collective on TS
4924 
4925    Input Parameters:
4926 +  ts - the TS context
4927 .  step - current time-step
4928 .  ptime - current time
4929 -  dummy - either a viewer or NULL
4930 
4931    Level: intermediate
4932 
4933 .keywords: TS,  vector, monitor, view
4934 
4935 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4936 @*/
4937 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4938 {
4939   PetscErrorCode   ierr;
4940   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4941   PetscViewer      viewer = ctx->viewer;
4942   Vec              work;
4943 
4944   PetscFunctionBegin;
4945   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4946   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4947   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4948   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4949   ierr = VecView(work,viewer);CHKERRQ(ierr);
4950   ierr = VecDestroy(&work);CHKERRQ(ierr);
4951   PetscFunctionReturn(0);
4952 }
4953 
4954 #include <petsc/private/dmimpl.h>
4955 #undef __FUNCT__
4956 #define __FUNCT__ "TSSetDM"
4957 /*@
4958    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4959 
4960    Logically Collective on TS and DM
4961 
4962    Input Parameters:
4963 +  ts - the ODE integrator object
4964 -  dm - the dm, cannot be NULL
4965 
4966    Level: intermediate
4967 
4968 
4969 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4970 @*/
4971 PetscErrorCode  TSSetDM(TS ts,DM dm)
4972 {
4973   PetscErrorCode ierr;
4974   SNES           snes;
4975   DMTS           tsdm;
4976 
4977   PetscFunctionBegin;
4978   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4979   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
4980   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4981   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4982     if (ts->dm->dmts && !dm->dmts) {
4983       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4984       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4985       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4986         tsdm->originaldm = dm;
4987       }
4988     }
4989     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4990   }
4991   ts->dm = dm;
4992 
4993   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4994   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4995   PetscFunctionReturn(0);
4996 }
4997 
4998 #undef __FUNCT__
4999 #define __FUNCT__ "TSGetDM"
5000 /*@
5001    TSGetDM - Gets the DM that may be used by some preconditioners
5002 
5003    Not Collective
5004 
5005    Input Parameter:
5006 . ts - the preconditioner context
5007 
5008    Output Parameter:
5009 .  dm - the dm
5010 
5011    Level: intermediate
5012 
5013 
5014 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5015 @*/
5016 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5017 {
5018   PetscErrorCode ierr;
5019 
5020   PetscFunctionBegin;
5021   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5022   if (!ts->dm) {
5023     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5024     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5025   }
5026   *dm = ts->dm;
5027   PetscFunctionReturn(0);
5028 }
5029 
5030 #undef __FUNCT__
5031 #define __FUNCT__ "SNESTSFormFunction"
5032 /*@
5033    SNESTSFormFunction - Function to evaluate nonlinear residual
5034 
5035    Logically Collective on SNES
5036 
5037    Input Parameter:
5038 + snes - nonlinear solver
5039 . U - the current state at which to evaluate the residual
5040 - ctx - user context, must be a TS
5041 
5042    Output Parameter:
5043 . F - the nonlinear residual
5044 
5045    Notes:
5046    This function is not normally called by users and is automatically registered with the SNES used by TS.
5047    It is most frequently passed to MatFDColoringSetFunction().
5048 
5049    Level: advanced
5050 
5051 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5052 @*/
5053 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5054 {
5055   TS             ts = (TS)ctx;
5056   PetscErrorCode ierr;
5057 
5058   PetscFunctionBegin;
5059   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5060   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5061   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5062   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5063   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5064   PetscFunctionReturn(0);
5065 }
5066 
5067 #undef __FUNCT__
5068 #define __FUNCT__ "SNESTSFormJacobian"
5069 /*@
5070    SNESTSFormJacobian - Function to evaluate the Jacobian
5071 
5072    Collective on SNES
5073 
5074    Input Parameter:
5075 + snes - nonlinear solver
5076 . U - the current state at which to evaluate the residual
5077 - ctx - user context, must be a TS
5078 
5079    Output Parameter:
5080 + A - the Jacobian
5081 . B - the preconditioning matrix (may be the same as A)
5082 - flag - indicates any structure change in the matrix
5083 
5084    Notes:
5085    This function is not normally called by users and is automatically registered with the SNES used by TS.
5086 
5087    Level: developer
5088 
5089 .seealso: SNESSetJacobian()
5090 @*/
5091 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5092 {
5093   TS             ts = (TS)ctx;
5094   PetscErrorCode ierr;
5095 
5096   PetscFunctionBegin;
5097   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5098   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5099   PetscValidPointer(A,3);
5100   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5101   PetscValidPointer(B,4);
5102   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5103   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5104   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5105   PetscFunctionReturn(0);
5106 }
5107 
5108 #undef __FUNCT__
5109 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5110 /*@C
5111    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5112 
5113    Collective on TS
5114 
5115    Input Arguments:
5116 +  ts - time stepping context
5117 .  t - time at which to evaluate
5118 .  U - state at which to evaluate
5119 -  ctx - context
5120 
5121    Output Arguments:
5122 .  F - right hand side
5123 
5124    Level: intermediate
5125 
5126    Notes:
5127    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5128    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5129 
5130 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5131 @*/
5132 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5133 {
5134   PetscErrorCode ierr;
5135   Mat            Arhs,Brhs;
5136 
5137   PetscFunctionBegin;
5138   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5139   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5140   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5141   PetscFunctionReturn(0);
5142 }
5143 
5144 #undef __FUNCT__
5145 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5146 /*@C
5147    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5148 
5149    Collective on TS
5150 
5151    Input Arguments:
5152 +  ts - time stepping context
5153 .  t - time at which to evaluate
5154 .  U - state at which to evaluate
5155 -  ctx - context
5156 
5157    Output Arguments:
5158 +  A - pointer to operator
5159 .  B - pointer to preconditioning matrix
5160 -  flg - matrix structure flag
5161 
5162    Level: intermediate
5163 
5164    Notes:
5165    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5166 
5167 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5168 @*/
5169 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5170 {
5171   PetscFunctionBegin;
5172   PetscFunctionReturn(0);
5173 }
5174 
5175 #undef __FUNCT__
5176 #define __FUNCT__ "TSComputeIFunctionLinear"
5177 /*@C
5178    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5179 
5180    Collective on TS
5181 
5182    Input Arguments:
5183 +  ts - time stepping context
5184 .  t - time at which to evaluate
5185 .  U - state at which to evaluate
5186 .  Udot - time derivative of state vector
5187 -  ctx - context
5188 
5189    Output Arguments:
5190 .  F - left hand side
5191 
5192    Level: intermediate
5193 
5194    Notes:
5195    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
5196    user is required to write their own TSComputeIFunction.
5197    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5198    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5199 
5200    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5201 
5202 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5203 @*/
5204 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5205 {
5206   PetscErrorCode ierr;
5207   Mat            A,B;
5208 
5209   PetscFunctionBegin;
5210   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5211   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5212   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5213   PetscFunctionReturn(0);
5214 }
5215 
5216 #undef __FUNCT__
5217 #define __FUNCT__ "TSComputeIJacobianConstant"
5218 /*@C
5219    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5220 
5221    Collective on TS
5222 
5223    Input Arguments:
5224 +  ts - time stepping context
5225 .  t - time at which to evaluate
5226 .  U - state at which to evaluate
5227 .  Udot - time derivative of state vector
5228 .  shift - shift to apply
5229 -  ctx - context
5230 
5231    Output Arguments:
5232 +  A - pointer to operator
5233 .  B - pointer to preconditioning matrix
5234 -  flg - matrix structure flag
5235 
5236    Level: advanced
5237 
5238    Notes:
5239    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5240 
5241    It is only appropriate for problems of the form
5242 
5243 $     M Udot = F(U,t)
5244 
5245   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5246   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5247   an implicit operator of the form
5248 
5249 $    shift*M + J
5250 
5251   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
5252   a copy of M or reassemble it when requested.
5253 
5254 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5255 @*/
5256 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5257 {
5258   PetscErrorCode ierr;
5259 
5260   PetscFunctionBegin;
5261   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5262   ts->ijacobian.shift = shift;
5263   PetscFunctionReturn(0);
5264 }
5265 
5266 #undef __FUNCT__
5267 #define __FUNCT__ "TSGetEquationType"
5268 /*@
5269    TSGetEquationType - Gets the type of the equation that TS is solving.
5270 
5271    Not Collective
5272 
5273    Input Parameter:
5274 .  ts - the TS context
5275 
5276    Output Parameter:
5277 .  equation_type - see TSEquationType
5278 
5279    Level: beginner
5280 
5281 .keywords: TS, equation type
5282 
5283 .seealso: TSSetEquationType(), TSEquationType
5284 @*/
5285 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5286 {
5287   PetscFunctionBegin;
5288   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5289   PetscValidPointer(equation_type,2);
5290   *equation_type = ts->equation_type;
5291   PetscFunctionReturn(0);
5292 }
5293 
5294 #undef __FUNCT__
5295 #define __FUNCT__ "TSSetEquationType"
5296 /*@
5297    TSSetEquationType - Sets the type of the equation that TS is solving.
5298 
5299    Not Collective
5300 
5301    Input Parameter:
5302 +  ts - the TS context
5303 -  equation_type - see TSEquationType
5304 
5305    Level: advanced
5306 
5307 .keywords: TS, equation type
5308 
5309 .seealso: TSGetEquationType(), TSEquationType
5310 @*/
5311 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5312 {
5313   PetscFunctionBegin;
5314   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5315   ts->equation_type = equation_type;
5316   PetscFunctionReturn(0);
5317 }
5318 
5319 #undef __FUNCT__
5320 #define __FUNCT__ "TSGetConvergedReason"
5321 /*@
5322    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5323 
5324    Not Collective
5325 
5326    Input Parameter:
5327 .  ts - the TS context
5328 
5329    Output Parameter:
5330 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5331             manual pages for the individual convergence tests for complete lists
5332 
5333    Level: beginner
5334 
5335    Notes:
5336    Can only be called after the call to TSSolve() is complete.
5337 
5338 .keywords: TS, nonlinear, set, convergence, test
5339 
5340 .seealso: TSSetConvergenceTest(), TSConvergedReason
5341 @*/
5342 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5343 {
5344   PetscFunctionBegin;
5345   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5346   PetscValidPointer(reason,2);
5347   *reason = ts->reason;
5348   PetscFunctionReturn(0);
5349 }
5350 
5351 #undef __FUNCT__
5352 #define __FUNCT__ "TSSetConvergedReason"
5353 /*@
5354    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5355 
5356    Not Collective
5357 
5358    Input Parameter:
5359 +  ts - the TS context
5360 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5361             manual pages for the individual convergence tests for complete lists
5362 
5363    Level: advanced
5364 
5365    Notes:
5366    Can only be called during TSSolve() is active.
5367 
5368 .keywords: TS, nonlinear, set, convergence, test
5369 
5370 .seealso: TSConvergedReason
5371 @*/
5372 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5373 {
5374   PetscFunctionBegin;
5375   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5376   ts->reason = reason;
5377   PetscFunctionReturn(0);
5378 }
5379 
5380 #undef __FUNCT__
5381 #define __FUNCT__ "TSGetSolveTime"
5382 /*@
5383    TSGetSolveTime - Gets the time after a call to TSSolve()
5384 
5385    Not Collective
5386 
5387    Input Parameter:
5388 .  ts - the TS context
5389 
5390    Output Parameter:
5391 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5392 
5393    Level: beginner
5394 
5395    Notes:
5396    Can only be called after the call to TSSolve() is complete.
5397 
5398 .keywords: TS, nonlinear, set, convergence, test
5399 
5400 .seealso: TSSetConvergenceTest(), TSConvergedReason
5401 @*/
5402 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5403 {
5404   PetscFunctionBegin;
5405   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5406   PetscValidPointer(ftime,2);
5407   *ftime = ts->solvetime;
5408   PetscFunctionReturn(0);
5409 }
5410 
5411 #undef __FUNCT__
5412 #define __FUNCT__ "TSGetTotalSteps"
5413 /*@
5414    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5415 
5416    Not Collective
5417 
5418    Input Parameter:
5419 .  ts - the TS context
5420 
5421    Output Parameter:
5422 .  steps - the number of steps
5423 
5424    Level: beginner
5425 
5426    Notes:
5427    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5428 
5429 .keywords: TS, nonlinear, set, convergence, test
5430 
5431 .seealso: TSSetConvergenceTest(), TSConvergedReason
5432 @*/
5433 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5434 {
5435   PetscFunctionBegin;
5436   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5437   PetscValidPointer(steps,2);
5438   *steps = ts->total_steps;
5439   PetscFunctionReturn(0);
5440 }
5441 
5442 #undef __FUNCT__
5443 #define __FUNCT__ "TSGetSNESIterations"
5444 /*@
5445    TSGetSNESIterations - Gets the total number of nonlinear iterations
5446    used by the time integrator.
5447 
5448    Not Collective
5449 
5450    Input Parameter:
5451 .  ts - TS context
5452 
5453    Output Parameter:
5454 .  nits - number of nonlinear iterations
5455 
5456    Notes:
5457    This counter is reset to zero for each successive call to TSSolve().
5458 
5459    Level: intermediate
5460 
5461 .keywords: TS, get, number, nonlinear, iterations
5462 
5463 .seealso:  TSGetKSPIterations()
5464 @*/
5465 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5466 {
5467   PetscFunctionBegin;
5468   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5469   PetscValidIntPointer(nits,2);
5470   *nits = ts->snes_its;
5471   PetscFunctionReturn(0);
5472 }
5473 
5474 #undef __FUNCT__
5475 #define __FUNCT__ "TSGetKSPIterations"
5476 /*@
5477    TSGetKSPIterations - Gets the total number of linear iterations
5478    used by the time integrator.
5479 
5480    Not Collective
5481 
5482    Input Parameter:
5483 .  ts - TS context
5484 
5485    Output Parameter:
5486 .  lits - number of linear iterations
5487 
5488    Notes:
5489    This counter is reset to zero for each successive call to TSSolve().
5490 
5491    Level: intermediate
5492 
5493 .keywords: TS, get, number, linear, iterations
5494 
5495 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5496 @*/
5497 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5498 {
5499   PetscFunctionBegin;
5500   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5501   PetscValidIntPointer(lits,2);
5502   *lits = ts->ksp_its;
5503   PetscFunctionReturn(0);
5504 }
5505 
5506 #undef __FUNCT__
5507 #define __FUNCT__ "TSGetStepRejections"
5508 /*@
5509    TSGetStepRejections - Gets the total number of rejected steps.
5510 
5511    Not Collective
5512 
5513    Input Parameter:
5514 .  ts - TS context
5515 
5516    Output Parameter:
5517 .  rejects - number of steps rejected
5518 
5519    Notes:
5520    This counter is reset to zero for each successive call to TSSolve().
5521 
5522    Level: intermediate
5523 
5524 .keywords: TS, get, number
5525 
5526 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5527 @*/
5528 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5529 {
5530   PetscFunctionBegin;
5531   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5532   PetscValidIntPointer(rejects,2);
5533   *rejects = ts->reject;
5534   PetscFunctionReturn(0);
5535 }
5536 
5537 #undef __FUNCT__
5538 #define __FUNCT__ "TSGetSNESFailures"
5539 /*@
5540    TSGetSNESFailures - Gets the total number of failed SNES solves
5541 
5542    Not Collective
5543 
5544    Input Parameter:
5545 .  ts - TS context
5546 
5547    Output Parameter:
5548 .  fails - number of failed nonlinear solves
5549 
5550    Notes:
5551    This counter is reset to zero for each successive call to TSSolve().
5552 
5553    Level: intermediate
5554 
5555 .keywords: TS, get, number
5556 
5557 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5558 @*/
5559 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5560 {
5561   PetscFunctionBegin;
5562   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5563   PetscValidIntPointer(fails,2);
5564   *fails = ts->num_snes_failures;
5565   PetscFunctionReturn(0);
5566 }
5567 
5568 #undef __FUNCT__
5569 #define __FUNCT__ "TSSetMaxStepRejections"
5570 /*@
5571    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5572 
5573    Not Collective
5574 
5575    Input Parameter:
5576 +  ts - TS context
5577 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5578 
5579    Notes:
5580    The counter is reset to zero for each step
5581 
5582    Options Database Key:
5583  .  -ts_max_reject - Maximum number of step rejections before a step fails
5584 
5585    Level: intermediate
5586 
5587 .keywords: TS, set, maximum, number
5588 
5589 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5590 @*/
5591 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5592 {
5593   PetscFunctionBegin;
5594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5595   ts->max_reject = rejects;
5596   PetscFunctionReturn(0);
5597 }
5598 
5599 #undef __FUNCT__
5600 #define __FUNCT__ "TSSetMaxSNESFailures"
5601 /*@
5602    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5603 
5604    Not Collective
5605 
5606    Input Parameter:
5607 +  ts - TS context
5608 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5609 
5610    Notes:
5611    The counter is reset to zero for each successive call to TSSolve().
5612 
5613    Options Database Key:
5614  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5615 
5616    Level: intermediate
5617 
5618 .keywords: TS, set, maximum, number
5619 
5620 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5621 @*/
5622 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5623 {
5624   PetscFunctionBegin;
5625   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5626   ts->max_snes_failures = fails;
5627   PetscFunctionReturn(0);
5628 }
5629 
5630 #undef __FUNCT__
5631 #define __FUNCT__ "TSSetErrorIfStepFails"
5632 /*@
5633    TSSetErrorIfStepFails - Error if no step succeeds
5634 
5635    Not Collective
5636 
5637    Input Parameter:
5638 +  ts - TS context
5639 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5640 
5641    Options Database Key:
5642  .  -ts_error_if_step_fails - Error if no step succeeds
5643 
5644    Level: intermediate
5645 
5646 .keywords: TS, set, error
5647 
5648 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5649 @*/
5650 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5651 {
5652   PetscFunctionBegin;
5653   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5654   ts->errorifstepfailed = err;
5655   PetscFunctionReturn(0);
5656 }
5657 
5658 #undef __FUNCT__
5659 #define __FUNCT__ "TSMonitorSolution"
5660 /*@C
5661    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
5662 
5663    Collective on TS
5664 
5665    Input Parameters:
5666 +  ts - the TS context
5667 .  step - current time-step
5668 .  ptime - current time
5669 .  u - current state
5670 -  vf - viewer and its format
5671 
5672    Level: intermediate
5673 
5674 .keywords: TS,  vector, monitor, view
5675 
5676 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5677 @*/
5678 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5679 {
5680   PetscErrorCode ierr;
5681 
5682   PetscFunctionBegin;
5683   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5684   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5685   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5686   PetscFunctionReturn(0);
5687 }
5688 
5689 #undef __FUNCT__
5690 #define __FUNCT__ "TSMonitorSolutionVTK"
5691 /*@C
5692    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5693 
5694    Collective on TS
5695 
5696    Input Parameters:
5697 +  ts - the TS context
5698 .  step - current time-step
5699 .  ptime - current time
5700 .  u - current state
5701 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5702 
5703    Level: intermediate
5704 
5705    Notes:
5706    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.
5707    These are named according to the file name template.
5708 
5709    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5710 
5711 .keywords: TS,  vector, monitor, view
5712 
5713 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5714 @*/
5715 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5716 {
5717   PetscErrorCode ierr;
5718   char           filename[PETSC_MAX_PATH_LEN];
5719   PetscViewer    viewer;
5720 
5721   PetscFunctionBegin;
5722   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5723   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5724   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5725   ierr = VecView(u,viewer);CHKERRQ(ierr);
5726   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5727   PetscFunctionReturn(0);
5728 }
5729 
5730 #undef __FUNCT__
5731 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5732 /*@C
5733    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5734 
5735    Collective on TS
5736 
5737    Input Parameters:
5738 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5739 
5740    Level: intermediate
5741 
5742    Note:
5743    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5744 
5745 .keywords: TS,  vector, monitor, view
5746 
5747 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5748 @*/
5749 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5750 {
5751   PetscErrorCode ierr;
5752 
5753   PetscFunctionBegin;
5754   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5755   PetscFunctionReturn(0);
5756 }
5757 
5758 #undef __FUNCT__
5759 #define __FUNCT__ "TSGetAdapt"
5760 /*@
5761    TSGetAdapt - Get the adaptive controller context for the current method
5762 
5763    Collective on TS if controller has not been created yet
5764 
5765    Input Arguments:
5766 .  ts - time stepping context
5767 
5768    Output Arguments:
5769 .  adapt - adaptive controller
5770 
5771    Level: intermediate
5772 
5773 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5774 @*/
5775 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5776 {
5777   PetscErrorCode ierr;
5778 
5779   PetscFunctionBegin;
5780   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5781   PetscValidPointer(adapt,2);
5782   if (!ts->adapt) {
5783     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5784     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5785     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5786   }
5787   *adapt = ts->adapt;
5788   PetscFunctionReturn(0);
5789 }
5790 
5791 #undef __FUNCT__
5792 #define __FUNCT__ "TSSetTolerances"
5793 /*@
5794    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5795 
5796    Logically Collective
5797 
5798    Input Arguments:
5799 +  ts - time integration context
5800 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5801 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5802 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5803 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5804 
5805    Options Database keys:
5806 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5807 -  -ts_atol <atol> Absolute tolerance for local truncation error
5808 
5809    Notes:
5810    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5811    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5812    computed only for the differential or the algebraic part then this can be done using the vector of
5813    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5814    differential part and infinity for the algebraic part, the LTE calculation will include only the
5815    differential variables.
5816 
5817    Level: beginner
5818 
5819 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5820 @*/
5821 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5822 {
5823   PetscErrorCode ierr;
5824 
5825   PetscFunctionBegin;
5826   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5827   if (vatol) {
5828     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5829     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5830     ts->vatol = vatol;
5831   }
5832   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5833   if (vrtol) {
5834     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5835     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5836     ts->vrtol = vrtol;
5837   }
5838   PetscFunctionReturn(0);
5839 }
5840 
5841 #undef __FUNCT__
5842 #define __FUNCT__ "TSGetTolerances"
5843 /*@
5844    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5845 
5846    Logically Collective
5847 
5848    Input Arguments:
5849 .  ts - time integration context
5850 
5851    Output Arguments:
5852 +  atol - scalar absolute tolerances, NULL to ignore
5853 .  vatol - vector of absolute tolerances, NULL to ignore
5854 .  rtol - scalar relative tolerances, NULL to ignore
5855 -  vrtol - vector of relative tolerances, NULL to ignore
5856 
5857    Level: beginner
5858 
5859 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5860 @*/
5861 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5862 {
5863   PetscFunctionBegin;
5864   if (atol)  *atol  = ts->atol;
5865   if (vatol) *vatol = ts->vatol;
5866   if (rtol)  *rtol  = ts->rtol;
5867   if (vrtol) *vrtol = ts->vrtol;
5868   PetscFunctionReturn(0);
5869 }
5870 
5871 #undef __FUNCT__
5872 #define __FUNCT__ "TSErrorWeightedNorm2"
5873 /*@
5874    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5875 
5876    Collective on TS
5877 
5878    Input Arguments:
5879 +  ts - time stepping context
5880 .  U - state vector, usually ts->vec_sol
5881 -  Y - state vector to be compared to U
5882 
5883    Output Arguments:
5884 .  norm - weighted norm, a value of 1.0 is considered small
5885 
5886    Level: developer
5887 
5888 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5889 @*/
5890 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5891 {
5892   PetscErrorCode    ierr;
5893   PetscInt          i,n,N,rstart;
5894   const PetscScalar *u,*y;
5895   PetscReal         sum,gsum;
5896   PetscReal         tol;
5897 
5898   PetscFunctionBegin;
5899   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5900   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5901   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5902   PetscValidType(U,2);
5903   PetscValidType(Y,3);
5904   PetscCheckSameComm(U,2,Y,3);
5905   PetscValidPointer(norm,4);
5906   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5907 
5908   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5909   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5910   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5911   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5912   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5913   sum  = 0.;
5914   if (ts->vatol && ts->vrtol) {
5915     const PetscScalar *atol,*rtol;
5916     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5917     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5918     for (i=0; i<n; i++) {
5919       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5920       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5921     }
5922     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5923     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5924   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5925     const PetscScalar *atol;
5926     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5927     for (i=0; i<n; i++) {
5928       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5929       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5930     }
5931     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5932   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5933     const PetscScalar *rtol;
5934     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5935     for (i=0; i<n; i++) {
5936       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5937       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5938     }
5939     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5940   } else {                      /* scalar atol, scalar rtol */
5941     for (i=0; i<n; i++) {
5942       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5943       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5944     }
5945   }
5946   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5947   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5948 
5949   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5950   *norm = PetscSqrtReal(gsum / N);
5951 
5952   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5953   PetscFunctionReturn(0);
5954 }
5955 
5956 #undef __FUNCT__
5957 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5958 /*@
5959    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5960 
5961    Collective on TS
5962 
5963    Input Arguments:
5964 +  ts - time stepping context
5965 .  U - state vector, usually ts->vec_sol
5966 -  Y - state vector to be compared to U
5967 
5968    Output Arguments:
5969 .  norm - weighted norm, a value of 1.0 is considered small
5970 
5971    Level: developer
5972 
5973 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5974 @*/
5975 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5976 {
5977   PetscErrorCode    ierr;
5978   PetscInt          i,n,N,rstart,k;
5979   const PetscScalar *u,*y;
5980   PetscReal         max,gmax;
5981   PetscReal         tol;
5982 
5983   PetscFunctionBegin;
5984   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5985   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5986   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5987   PetscValidType(U,2);
5988   PetscValidType(Y,3);
5989   PetscCheckSameComm(U,2,Y,3);
5990   PetscValidPointer(norm,4);
5991   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5992 
5993   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5994   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5995   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5996   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5997   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5998   if (ts->vatol && ts->vrtol) {
5999     const PetscScalar *atol,*rtol;
6000     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6001     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6002     k = 0;
6003     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6004     max = PetscAbsScalar(y[k] - u[k]) / tol;
6005     for (i=1; i<n; i++) {
6006       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6007       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6008     }
6009     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6010     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6011   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6012     const PetscScalar *atol;
6013     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6014     k = 0;
6015     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6016     max = PetscAbsScalar(y[k] - u[k]) / tol;
6017     for (i=1; i<n; i++) {
6018       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6019       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6020     }
6021     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6022   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6023     const PetscScalar *rtol;
6024     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6025     k = 0;
6026     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6027     max = PetscAbsScalar(y[k] - u[k]) / tol;
6028     for (i=1; i<n; i++) {
6029       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6030       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6031     }
6032     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6033   } else {                      /* scalar atol, scalar rtol */
6034     k = 0;
6035     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6036     max = PetscAbsScalar(y[k] - u[k]) / tol;
6037     for (i=1; i<n; i++) {
6038       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6039       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6040     }
6041   }
6042   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6043   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6044 
6045   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6046   *norm = gmax;
6047 
6048   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6049   PetscFunctionReturn(0);
6050 }
6051 
6052 #undef __FUNCT__
6053 #define __FUNCT__ "TSErrorWeightedNorm"
6054 /*@
6055    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6056 
6057    Collective on TS
6058 
6059    Input Arguments:
6060 +  ts - time stepping context
6061 .  U - state vector, usually ts->vec_sol
6062 .  Y - state vector to be compared to U
6063 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6064 
6065    Output Arguments:
6066 .  norm - weighted norm, a value of 1.0 is considered small
6067 
6068 
6069    Options Database Keys:
6070 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6071 
6072    Level: developer
6073 
6074 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6075 @*/
6076 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6077 {
6078   PetscErrorCode ierr;
6079 
6080   PetscFunctionBegin;
6081   if (wnormtype == NORM_2) {
6082     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6083   } else if(wnormtype == NORM_INFINITY) {
6084     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6085   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6086   PetscFunctionReturn(0);
6087 }
6088 
6089 #undef __FUNCT__
6090 #define __FUNCT__ "TSSetCFLTimeLocal"
6091 /*@
6092    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6093 
6094    Logically Collective on TS
6095 
6096    Input Arguments:
6097 +  ts - time stepping context
6098 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6099 
6100    Note:
6101    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6102 
6103    Level: intermediate
6104 
6105 .seealso: TSGetCFLTime(), TSADAPTCFL
6106 @*/
6107 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6108 {
6109   PetscFunctionBegin;
6110   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6111   ts->cfltime_local = cfltime;
6112   ts->cfltime       = -1.;
6113   PetscFunctionReturn(0);
6114 }
6115 
6116 #undef __FUNCT__
6117 #define __FUNCT__ "TSGetCFLTime"
6118 /*@
6119    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6120 
6121    Collective on TS
6122 
6123    Input Arguments:
6124 .  ts - time stepping context
6125 
6126    Output Arguments:
6127 .  cfltime - maximum stable time step for forward Euler
6128 
6129    Level: advanced
6130 
6131 .seealso: TSSetCFLTimeLocal()
6132 @*/
6133 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6134 {
6135   PetscErrorCode ierr;
6136 
6137   PetscFunctionBegin;
6138   if (ts->cfltime < 0) {
6139     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6140   }
6141   *cfltime = ts->cfltime;
6142   PetscFunctionReturn(0);
6143 }
6144 
6145 #undef __FUNCT__
6146 #define __FUNCT__ "TSVISetVariableBounds"
6147 /*@
6148    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6149 
6150    Input Parameters:
6151 .  ts   - the TS context.
6152 .  xl   - lower bound.
6153 .  xu   - upper bound.
6154 
6155    Notes:
6156    If this routine is not called then the lower and upper bounds are set to
6157    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6158 
6159    Level: advanced
6160 
6161 @*/
6162 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6163 {
6164   PetscErrorCode ierr;
6165   SNES           snes;
6166 
6167   PetscFunctionBegin;
6168   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6169   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6170   PetscFunctionReturn(0);
6171 }
6172 
6173 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6174 #include <mex.h>
6175 
6176 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6177 
6178 #undef __FUNCT__
6179 #define __FUNCT__ "TSComputeFunction_Matlab"
6180 /*
6181    TSComputeFunction_Matlab - Calls the function that has been set with
6182                          TSSetFunctionMatlab().
6183 
6184    Collective on TS
6185 
6186    Input Parameters:
6187 +  snes - the TS context
6188 -  u - input vector
6189 
6190    Output Parameter:
6191 .  y - function vector, as set by TSSetFunction()
6192 
6193    Notes:
6194    TSComputeFunction() is typically used within nonlinear solvers
6195    implementations, so most users would not generally call this routine
6196    themselves.
6197 
6198    Level: developer
6199 
6200 .keywords: TS, nonlinear, compute, function
6201 
6202 .seealso: TSSetFunction(), TSGetFunction()
6203 */
6204 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6205 {
6206   PetscErrorCode  ierr;
6207   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6208   int             nlhs  = 1,nrhs = 7;
6209   mxArray         *plhs[1],*prhs[7];
6210   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6211 
6212   PetscFunctionBegin;
6213   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6214   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6215   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6216   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6217   PetscCheckSameComm(snes,1,u,3);
6218   PetscCheckSameComm(snes,1,y,5);
6219 
6220   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6221   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6222   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6223   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6224 
6225   prhs[0] =  mxCreateDoubleScalar((double)ls);
6226   prhs[1] =  mxCreateDoubleScalar(time);
6227   prhs[2] =  mxCreateDoubleScalar((double)lx);
6228   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6229   prhs[4] =  mxCreateDoubleScalar((double)ly);
6230   prhs[5] =  mxCreateString(sctx->funcname);
6231   prhs[6] =  sctx->ctx;
6232   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6233   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6234   mxDestroyArray(prhs[0]);
6235   mxDestroyArray(prhs[1]);
6236   mxDestroyArray(prhs[2]);
6237   mxDestroyArray(prhs[3]);
6238   mxDestroyArray(prhs[4]);
6239   mxDestroyArray(prhs[5]);
6240   mxDestroyArray(plhs[0]);
6241   PetscFunctionReturn(0);
6242 }
6243 
6244 
6245 #undef __FUNCT__
6246 #define __FUNCT__ "TSSetFunctionMatlab"
6247 /*
6248    TSSetFunctionMatlab - Sets the function evaluation routine and function
6249    vector for use by the TS routines in solving ODEs
6250    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6251 
6252    Logically Collective on TS
6253 
6254    Input Parameters:
6255 +  ts - the TS context
6256 -  func - function evaluation routine
6257 
6258    Calling sequence of func:
6259 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6260 
6261    Level: beginner
6262 
6263 .keywords: TS, nonlinear, set, function
6264 
6265 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6266 */
6267 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6268 {
6269   PetscErrorCode  ierr;
6270   TSMatlabContext *sctx;
6271 
6272   PetscFunctionBegin;
6273   /* currently sctx is memory bleed */
6274   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6275   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6276   /*
6277      This should work, but it doesn't
6278   sctx->ctx = ctx;
6279   mexMakeArrayPersistent(sctx->ctx);
6280   */
6281   sctx->ctx = mxDuplicateArray(ctx);
6282 
6283   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6284   PetscFunctionReturn(0);
6285 }
6286 
6287 #undef __FUNCT__
6288 #define __FUNCT__ "TSComputeJacobian_Matlab"
6289 /*
6290    TSComputeJacobian_Matlab - Calls the function that has been set with
6291                          TSSetJacobianMatlab().
6292 
6293    Collective on TS
6294 
6295    Input Parameters:
6296 +  ts - the TS context
6297 .  u - input vector
6298 .  A, B - the matrices
6299 -  ctx - user context
6300 
6301    Level: developer
6302 
6303 .keywords: TS, nonlinear, compute, function
6304 
6305 .seealso: TSSetFunction(), TSGetFunction()
6306 @*/
6307 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6308 {
6309   PetscErrorCode  ierr;
6310   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6311   int             nlhs  = 2,nrhs = 9;
6312   mxArray         *plhs[2],*prhs[9];
6313   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6314 
6315   PetscFunctionBegin;
6316   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6317   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6318 
6319   /* call Matlab function in ctx with arguments u and y */
6320 
6321   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6322   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6323   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6324   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6325   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6326 
6327   prhs[0] =  mxCreateDoubleScalar((double)ls);
6328   prhs[1] =  mxCreateDoubleScalar((double)time);
6329   prhs[2] =  mxCreateDoubleScalar((double)lx);
6330   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6331   prhs[4] =  mxCreateDoubleScalar((double)shift);
6332   prhs[5] =  mxCreateDoubleScalar((double)lA);
6333   prhs[6] =  mxCreateDoubleScalar((double)lB);
6334   prhs[7] =  mxCreateString(sctx->funcname);
6335   prhs[8] =  sctx->ctx;
6336   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6337   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6338   mxDestroyArray(prhs[0]);
6339   mxDestroyArray(prhs[1]);
6340   mxDestroyArray(prhs[2]);
6341   mxDestroyArray(prhs[3]);
6342   mxDestroyArray(prhs[4]);
6343   mxDestroyArray(prhs[5]);
6344   mxDestroyArray(prhs[6]);
6345   mxDestroyArray(prhs[7]);
6346   mxDestroyArray(plhs[0]);
6347   mxDestroyArray(plhs[1]);
6348   PetscFunctionReturn(0);
6349 }
6350 
6351 
6352 #undef __FUNCT__
6353 #define __FUNCT__ "TSSetJacobianMatlab"
6354 /*
6355    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6356    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
6357 
6358    Logically Collective on TS
6359 
6360    Input Parameters:
6361 +  ts - the TS context
6362 .  A,B - Jacobian matrices
6363 .  func - function evaluation routine
6364 -  ctx - user context
6365 
6366    Calling sequence of func:
6367 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6368 
6369 
6370    Level: developer
6371 
6372 .keywords: TS, nonlinear, set, function
6373 
6374 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6375 */
6376 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6377 {
6378   PetscErrorCode  ierr;
6379   TSMatlabContext *sctx;
6380 
6381   PetscFunctionBegin;
6382   /* currently sctx is memory bleed */
6383   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6384   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6385   /*
6386      This should work, but it doesn't
6387   sctx->ctx = ctx;
6388   mexMakeArrayPersistent(sctx->ctx);
6389   */
6390   sctx->ctx = mxDuplicateArray(ctx);
6391 
6392   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6393   PetscFunctionReturn(0);
6394 }
6395 
6396 #undef __FUNCT__
6397 #define __FUNCT__ "TSMonitor_Matlab"
6398 /*
6399    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6400 
6401    Collective on TS
6402 
6403 .seealso: TSSetFunction(), TSGetFunction()
6404 @*/
6405 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6406 {
6407   PetscErrorCode  ierr;
6408   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6409   int             nlhs  = 1,nrhs = 6;
6410   mxArray         *plhs[1],*prhs[6];
6411   long long int   lx = 0,ls = 0;
6412 
6413   PetscFunctionBegin;
6414   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6415   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6416 
6417   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6418   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6419 
6420   prhs[0] =  mxCreateDoubleScalar((double)ls);
6421   prhs[1] =  mxCreateDoubleScalar((double)it);
6422   prhs[2] =  mxCreateDoubleScalar((double)time);
6423   prhs[3] =  mxCreateDoubleScalar((double)lx);
6424   prhs[4] =  mxCreateString(sctx->funcname);
6425   prhs[5] =  sctx->ctx;
6426   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6427   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6428   mxDestroyArray(prhs[0]);
6429   mxDestroyArray(prhs[1]);
6430   mxDestroyArray(prhs[2]);
6431   mxDestroyArray(prhs[3]);
6432   mxDestroyArray(prhs[4]);
6433   mxDestroyArray(plhs[0]);
6434   PetscFunctionReturn(0);
6435 }
6436 
6437 
6438 #undef __FUNCT__
6439 #define __FUNCT__ "TSMonitorSetMatlab"
6440 /*
6441    TSMonitorSetMatlab - Sets the monitor function from Matlab
6442 
6443    Level: developer
6444 
6445 .keywords: TS, nonlinear, set, function
6446 
6447 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6448 */
6449 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6450 {
6451   PetscErrorCode  ierr;
6452   TSMatlabContext *sctx;
6453 
6454   PetscFunctionBegin;
6455   /* currently sctx is memory bleed */
6456   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6457   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6458   /*
6459      This should work, but it doesn't
6460   sctx->ctx = ctx;
6461   mexMakeArrayPersistent(sctx->ctx);
6462   */
6463   sctx->ctx = mxDuplicateArray(ctx);
6464 
6465   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6466   PetscFunctionReturn(0);
6467 }
6468 #endif
6469 
6470 #undef __FUNCT__
6471 #define __FUNCT__ "TSMonitorLGSolution"
6472 /*@C
6473    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6474        in a time based line graph
6475 
6476    Collective on TS
6477 
6478    Input Parameters:
6479 +  ts - the TS context
6480 .  step - current time-step
6481 .  ptime - current time
6482 .  u - current solution
6483 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6484 
6485    Options Database:
6486 .   -ts_monitor_lg_solution_variables
6487 
6488    Level: intermediate
6489 
6490    Notes: Each process in a parallel run displays its component solutions in a separate window
6491 
6492 .keywords: TS,  vector, monitor, view
6493 
6494 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6495            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6496            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6497            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6498 @*/
6499 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6500 {
6501   PetscErrorCode    ierr;
6502   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6503   const PetscScalar *yy;
6504   Vec               v;
6505 
6506   PetscFunctionBegin;
6507   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6508   if (!step) {
6509     PetscDrawAxis axis;
6510     PetscInt      dim;
6511     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6512     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6513     if (!ctx->names) {
6514       PetscBool flg;
6515       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6516       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6517       if (flg) {
6518         PetscInt i,n;
6519         char     **names;
6520         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6521         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6522         for (i=0; i<n; i++) {
6523           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6524           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6525         }
6526         names[n] = NULL;
6527         ctx->names = names;
6528       }
6529     }
6530     if (ctx->names && !ctx->displaynames) {
6531       char      **displaynames;
6532       PetscBool flg;
6533       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6534       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6535       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6536       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6537       if (flg) {
6538         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6539       }
6540       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6541     }
6542     if (ctx->displaynames) {
6543       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6544       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6545     } else if (ctx->names) {
6546       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6547       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6548       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6549     } else {
6550       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6551       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6552     }
6553     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6554   }
6555 
6556   if (!ctx->transform) v = u;
6557   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6558   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6559   if (ctx->displaynames) {
6560     PetscInt i;
6561     for (i=0; i<ctx->ndisplayvariables; i++)
6562       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6563     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6564   } else {
6565 #if defined(PETSC_USE_COMPLEX)
6566     PetscInt  i,n;
6567     PetscReal *yreal;
6568     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6569     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6570     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6571     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6572     ierr = PetscFree(yreal);CHKERRQ(ierr);
6573 #else
6574     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6575 #endif
6576   }
6577   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6578   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6579 
6580   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6581     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6582     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6583   }
6584   PetscFunctionReturn(0);
6585 }
6586 
6587 
6588 #undef __FUNCT__
6589 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6590 /*@C
6591    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6592 
6593    Collective on TS
6594 
6595    Input Parameters:
6596 +  ts - the TS context
6597 -  names - the names of the components, final string must be NULL
6598 
6599    Level: intermediate
6600 
6601    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6602 
6603 .keywords: TS,  vector, monitor, view
6604 
6605 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6606 @*/
6607 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6608 {
6609   PetscErrorCode    ierr;
6610   PetscInt          i;
6611 
6612   PetscFunctionBegin;
6613   for (i=0; i<ts->numbermonitors; i++) {
6614     if (ts->monitor[i] == TSMonitorLGSolution) {
6615       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6616       break;
6617     }
6618   }
6619   PetscFunctionReturn(0);
6620 }
6621 
6622 #undef __FUNCT__
6623 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6624 /*@C
6625    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6626 
6627    Collective on TS
6628 
6629    Input Parameters:
6630 +  ts - the TS context
6631 -  names - the names of the components, final string must be NULL
6632 
6633    Level: intermediate
6634 
6635 .keywords: TS,  vector, monitor, view
6636 
6637 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6638 @*/
6639 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6640 {
6641   PetscErrorCode    ierr;
6642 
6643   PetscFunctionBegin;
6644   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6645   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6646   PetscFunctionReturn(0);
6647 }
6648 
6649 #undef __FUNCT__
6650 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6651 /*@C
6652    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6653 
6654    Collective on TS
6655 
6656    Input Parameter:
6657 .  ts - the TS context
6658 
6659    Output Parameter:
6660 .  names - the names of the components, final string must be NULL
6661 
6662    Level: intermediate
6663 
6664    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6665 
6666 .keywords: TS,  vector, monitor, view
6667 
6668 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6669 @*/
6670 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6671 {
6672   PetscInt       i;
6673 
6674   PetscFunctionBegin;
6675   *names = NULL;
6676   for (i=0; i<ts->numbermonitors; i++) {
6677     if (ts->monitor[i] == TSMonitorLGSolution) {
6678       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6679       *names = (const char *const *)ctx->names;
6680       break;
6681     }
6682   }
6683   PetscFunctionReturn(0);
6684 }
6685 
6686 #undef __FUNCT__
6687 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6688 /*@C
6689    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6690 
6691    Collective on TS
6692 
6693    Input Parameters:
6694 +  ctx - the TSMonitorLG context
6695 .  displaynames - the names of the components, final string must be NULL
6696 
6697    Level: intermediate
6698 
6699 .keywords: TS,  vector, monitor, view
6700 
6701 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6702 @*/
6703 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6704 {
6705   PetscInt          j = 0,k;
6706   PetscErrorCode    ierr;
6707 
6708   PetscFunctionBegin;
6709   if (!ctx->names) PetscFunctionReturn(0);
6710   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6711   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6712   while (displaynames[j]) j++;
6713   ctx->ndisplayvariables = j;
6714   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6715   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6716   j = 0;
6717   while (displaynames[j]) {
6718     k = 0;
6719     while (ctx->names[k]) {
6720       PetscBool flg;
6721       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6722       if (flg) {
6723         ctx->displayvariables[j] = k;
6724         break;
6725       }
6726       k++;
6727     }
6728     j++;
6729   }
6730   PetscFunctionReturn(0);
6731 }
6732 
6733 
6734 #undef __FUNCT__
6735 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6736 /*@C
6737    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6738 
6739    Collective on TS
6740 
6741    Input Parameters:
6742 +  ts - the TS context
6743 .  displaynames - the names of the components, final string must be NULL
6744 
6745    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6746 
6747    Level: intermediate
6748 
6749 .keywords: TS,  vector, monitor, view
6750 
6751 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6752 @*/
6753 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6754 {
6755   PetscInt          i;
6756   PetscErrorCode    ierr;
6757 
6758   PetscFunctionBegin;
6759   for (i=0; i<ts->numbermonitors; i++) {
6760     if (ts->monitor[i] == TSMonitorLGSolution) {
6761       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6762       break;
6763     }
6764   }
6765   PetscFunctionReturn(0);
6766 }
6767 
6768 #undef __FUNCT__
6769 #define __FUNCT__ "TSMonitorLGSetTransform"
6770 /*@C
6771    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6772 
6773    Collective on TS
6774 
6775    Input Parameters:
6776 +  ts - the TS context
6777 .  transform - the transform function
6778 .  destroy - function to destroy the optional context
6779 -  ctx - optional context used by transform function
6780 
6781    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6782 
6783    Level: intermediate
6784 
6785 .keywords: TS,  vector, monitor, view
6786 
6787 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6788 @*/
6789 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6790 {
6791   PetscInt          i;
6792   PetscErrorCode    ierr;
6793 
6794   PetscFunctionBegin;
6795   for (i=0; i<ts->numbermonitors; i++) {
6796     if (ts->monitor[i] == TSMonitorLGSolution) {
6797       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6798     }
6799   }
6800   PetscFunctionReturn(0);
6801 }
6802 
6803 #undef __FUNCT__
6804 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6805 /*@C
6806    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6807 
6808    Collective on TSLGCtx
6809 
6810    Input Parameters:
6811 +  ts - the TS context
6812 .  transform - the transform function
6813 .  destroy - function to destroy the optional context
6814 -  ctx - optional context used by transform function
6815 
6816    Level: intermediate
6817 
6818 .keywords: TS,  vector, monitor, view
6819 
6820 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6821 @*/
6822 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6823 {
6824   PetscFunctionBegin;
6825   ctx->transform    = transform;
6826   ctx->transformdestroy = destroy;
6827   ctx->transformctx = tctx;
6828   PetscFunctionReturn(0);
6829 }
6830 
6831 #undef __FUNCT__
6832 #define __FUNCT__ "TSMonitorLGError"
6833 /*@C
6834    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6835        in a time based line graph
6836 
6837    Collective on TS
6838 
6839    Input Parameters:
6840 +  ts - the TS context
6841 .  step - current time-step
6842 .  ptime - current time
6843 .  u - current solution
6844 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6845 
6846    Level: intermediate
6847 
6848    Notes: Each process in a parallel run displays its component errors in a separate window
6849 
6850    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6851 
6852    Options Database Keys:
6853 .  -ts_monitor_lg_error - create a graphical monitor of error history
6854 
6855 .keywords: TS,  vector, monitor, view
6856 
6857 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6858 @*/
6859 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6860 {
6861   PetscErrorCode    ierr;
6862   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6863   const PetscScalar *yy;
6864   Vec               y;
6865 
6866   PetscFunctionBegin;
6867   if (!step) {
6868     PetscDrawAxis axis;
6869     PetscInt      dim;
6870     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6871     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6872     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6873     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6874     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6875   }
6876   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6877   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6878   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6879   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6880 #if defined(PETSC_USE_COMPLEX)
6881   {
6882     PetscReal *yreal;
6883     PetscInt  i,n;
6884     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6885     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6886     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6887     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6888     ierr = PetscFree(yreal);CHKERRQ(ierr);
6889   }
6890 #else
6891   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6892 #endif
6893   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6894   ierr = VecDestroy(&y);CHKERRQ(ierr);
6895   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6896     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6897     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6898   }
6899   PetscFunctionReturn(0);
6900 }
6901 
6902 #undef __FUNCT__
6903 #define __FUNCT__ "TSMonitorLGSNESIterations"
6904 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6905 {
6906   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6907   PetscReal      x   = ptime,y;
6908   PetscErrorCode ierr;
6909   PetscInt       its;
6910 
6911   PetscFunctionBegin;
6912   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6913   if (!n) {
6914     PetscDrawAxis axis;
6915     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6916     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6917     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6918     ctx->snes_its = 0;
6919   }
6920   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6921   y    = its - ctx->snes_its;
6922   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6923   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6924     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6925     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6926   }
6927   ctx->snes_its = its;
6928   PetscFunctionReturn(0);
6929 }
6930 
6931 #undef __FUNCT__
6932 #define __FUNCT__ "TSMonitorLGKSPIterations"
6933 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6934 {
6935   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6936   PetscReal      x   = ptime,y;
6937   PetscErrorCode ierr;
6938   PetscInt       its;
6939 
6940   PetscFunctionBegin;
6941   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6942   if (!n) {
6943     PetscDrawAxis axis;
6944     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6945     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6946     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6947     ctx->ksp_its = 0;
6948   }
6949   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6950   y    = its - ctx->ksp_its;
6951   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6952   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6953     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6954     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6955   }
6956   ctx->ksp_its = its;
6957   PetscFunctionReturn(0);
6958 }
6959 
6960 #undef __FUNCT__
6961 #define __FUNCT__ "TSComputeLinearStability"
6962 /*@
6963    TSComputeLinearStability - computes the linear stability function at a point
6964 
6965    Collective on TS and Vec
6966 
6967    Input Parameters:
6968 +  ts - the TS context
6969 -  xr,xi - real and imaginary part of input arguments
6970 
6971    Output Parameters:
6972 .  yr,yi - real and imaginary part of function value
6973 
6974    Level: developer
6975 
6976 .keywords: TS, compute
6977 
6978 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6979 @*/
6980 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6981 {
6982   PetscErrorCode ierr;
6983 
6984   PetscFunctionBegin;
6985   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6986   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6987   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6988   PetscFunctionReturn(0);
6989 }
6990 
6991 /* ------------------------------------------------------------------------*/
6992 #undef __FUNCT__
6993 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6994 /*@C
6995    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6996 
6997    Collective on TS
6998 
6999    Input Parameters:
7000 .  ts  - the ODE solver object
7001 
7002    Output Parameter:
7003 .  ctx - the context
7004 
7005    Level: intermediate
7006 
7007 .keywords: TS, monitor, line graph, residual, seealso
7008 
7009 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7010 
7011 @*/
7012 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7013 {
7014   PetscErrorCode ierr;
7015 
7016   PetscFunctionBegin;
7017   ierr = PetscNew(ctx);CHKERRQ(ierr);
7018   PetscFunctionReturn(0);
7019 }
7020 
7021 #undef __FUNCT__
7022 #define __FUNCT__ "TSMonitorEnvelope"
7023 /*@C
7024    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7025 
7026    Collective on TS
7027 
7028    Input Parameters:
7029 +  ts - the TS context
7030 .  step - current time-step
7031 .  ptime - current time
7032 .  u  - current solution
7033 -  dctx - the envelope context
7034 
7035    Options Database:
7036 .  -ts_monitor_envelope
7037 
7038    Level: intermediate
7039 
7040    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7041 
7042 .keywords: TS,  vector, monitor, view
7043 
7044 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7045 @*/
7046 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7047 {
7048   PetscErrorCode       ierr;
7049   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7050 
7051   PetscFunctionBegin;
7052   if (!ctx->max) {
7053     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7054     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7055     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7056     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7057   } else {
7058     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7059     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7060   }
7061   PetscFunctionReturn(0);
7062 }
7063 
7064 
7065 #undef __FUNCT__
7066 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7067 /*@C
7068    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7069 
7070    Collective on TS
7071 
7072    Input Parameter:
7073 .  ts - the TS context
7074 
7075    Output Parameter:
7076 +  max - the maximum values
7077 -  min - the minimum values
7078 
7079    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7080 
7081    Level: intermediate
7082 
7083 .keywords: TS,  vector, monitor, view
7084 
7085 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7086 @*/
7087 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7088 {
7089   PetscInt i;
7090 
7091   PetscFunctionBegin;
7092   if (max) *max = NULL;
7093   if (min) *min = NULL;
7094   for (i=0; i<ts->numbermonitors; i++) {
7095     if (ts->monitor[i] == TSMonitorEnvelope) {
7096       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7097       if (max) *max = ctx->max;
7098       if (min) *min = ctx->min;
7099       break;
7100     }
7101   }
7102   PetscFunctionReturn(0);
7103 }
7104 
7105 #undef __FUNCT__
7106 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7107 /*@C
7108    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7109 
7110    Collective on TSMonitorEnvelopeCtx
7111 
7112    Input Parameter:
7113 .  ctx - the monitor context
7114 
7115    Level: intermediate
7116 
7117 .keywords: TS, monitor, line graph, destroy
7118 
7119 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7120 @*/
7121 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7122 {
7123   PetscErrorCode ierr;
7124 
7125   PetscFunctionBegin;
7126   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7127   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7128   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7129   PetscFunctionReturn(0);
7130 }
7131 
7132 #undef __FUNCT__
7133 #define __FUNCT__ "TSRollBack"
7134 /*@
7135    TSRollBack - Rolls back one time step
7136 
7137    Collective on TS
7138 
7139    Input Parameter:
7140 .  ts - the TS context obtained from TSCreate()
7141 
7142    Level: advanced
7143 
7144 .keywords: TS, timestep, rollback
7145 
7146 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7147 @*/
7148 PetscErrorCode  TSRollBack(TS ts)
7149 {
7150   PetscErrorCode ierr;
7151 
7152   PetscFunctionBegin;
7153   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7154   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7155   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7156   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7157   ts->time_step = ts->ptime - ts->ptime_prev;
7158   ts->ptime = ts->ptime_prev;
7159   ts->ptime_prev = ts->ptime_prev_rollback;
7160   ts->steps--; ts->total_steps--;
7161   ts->steprollback = PETSC_TRUE;
7162   PetscFunctionReturn(0);
7163 }
7164 
7165 #undef __FUNCT__
7166 #define __FUNCT__ "TSGetStages"
7167 /*@
7168    TSGetStages - Get the number of stages and stage values
7169 
7170    Input Parameter:
7171 .  ts - the TS context obtained from TSCreate()
7172 
7173    Level: advanced
7174 
7175 .keywords: TS, getstages
7176 
7177 .seealso: TSCreate()
7178 @*/
7179 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7180 {
7181   PetscErrorCode ierr;
7182 
7183   PetscFunctionBegin;
7184   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7185   PetscValidPointer(ns,2);
7186 
7187   if (!ts->ops->getstages) *ns=0;
7188   else {
7189     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7190   }
7191   PetscFunctionReturn(0);
7192 }
7193 
7194 #undef __FUNCT__
7195 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7196 /*@C
7197   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7198 
7199   Collective on SNES
7200 
7201   Input Parameters:
7202 + ts - the TS context
7203 . t - current timestep
7204 . U - state vector
7205 . Udot - time derivative of state vector
7206 . shift - shift to apply, see note below
7207 - ctx - an optional user context
7208 
7209   Output Parameters:
7210 + J - Jacobian matrix (not altered in this routine)
7211 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7212 
7213   Level: intermediate
7214 
7215   Notes:
7216   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7217 
7218   dF/dU + shift*dF/dUdot
7219 
7220   Most users should not need to explicitly call this routine, as it
7221   is used internally within the nonlinear solvers.
7222 
7223   This will first try to get the coloring from the DM.  If the DM type has no coloring
7224   routine, then it will try to get the coloring from the matrix.  This requires that the
7225   matrix have nonzero entries precomputed.
7226 
7227 .keywords: TS, finite differences, Jacobian, coloring, sparse
7228 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7229 @*/
7230 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7231 {
7232   SNES           snes;
7233   MatFDColoring  color;
7234   PetscBool      hascolor, matcolor = PETSC_FALSE;
7235   PetscErrorCode ierr;
7236 
7237   PetscFunctionBegin;
7238   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7239   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7240   if (!color) {
7241     DM         dm;
7242     ISColoring iscoloring;
7243 
7244     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7245     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7246     if (hascolor && !matcolor) {
7247       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7248       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7249       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7250       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7251       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7252       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7253     } else {
7254       MatColoring mc;
7255 
7256       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7257       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7258       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7259       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7260       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7261       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7262       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7263       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7264       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7265       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7266       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7267     }
7268     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7269     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7270   }
7271   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7272   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7273   if (J != B) {
7274     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7275     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7276   }
7277   PetscFunctionReturn(0);
7278 }
7279 
7280 #undef __FUNCT__
7281 #define __FUNCT__ "TSSetFunctionDomainError"
7282 /*@
7283     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7284 
7285     Input Parameters:
7286     ts - the TS context
7287     func - function called within TSFunctionDomainError
7288 
7289     Level: intermediate
7290 
7291 .keywords: TS, state, domain
7292 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7293 @*/
7294 
7295 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7296 {
7297   PetscFunctionBegin;
7298   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7299   ts->functiondomainerror = func;
7300   PetscFunctionReturn(0);
7301 }
7302 
7303 #undef __FUNCT__
7304 #define __FUNCT__ "TSFunctionDomainError"
7305 /*@
7306     TSFunctionDomainError - Check if the current state is valid
7307 
7308     Input Parameters:
7309     ts - the TS context
7310     stagetime - time of the simulation
7311     Y - state vector to check.
7312 
7313     Output Parameter:
7314     accept - Set to PETSC_FALSE if the current state vector is valid.
7315 
7316     Note:
7317     This function should be used to ensure the state is in a valid part of the space.
7318     For example, one can ensure here all values are positive.
7319 
7320     Level: advanced
7321 @*/
7322 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7323 {
7324   PetscErrorCode ierr;
7325 
7326   PetscFunctionBegin;
7327 
7328   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7329   *accept = PETSC_TRUE;
7330   if (ts->functiondomainerror) {
7331     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7332   }
7333   PetscFunctionReturn(0);
7334 }
7335 
7336 #undef  __FUNCT__
7337 #define __FUNCT__ "TSClone"
7338 /*@C
7339   TSClone - This function clones a time step object.
7340 
7341   Collective on MPI_Comm
7342 
7343   Input Parameter:
7344 . tsin    - The input TS
7345 
7346   Output Parameter:
7347 . tsout   - The output TS (cloned)
7348 
7349   Notes:
7350   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.
7351 
7352   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);
7353 
7354   Level: developer
7355 
7356 .keywords: TS, clone
7357 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7358 @*/
7359 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7360 {
7361   TS             t;
7362   PetscErrorCode ierr;
7363   SNES           snes_start;
7364   DM             dm;
7365   TSType         type;
7366 
7367   PetscFunctionBegin;
7368   PetscValidPointer(tsin,1);
7369   *tsout = NULL;
7370 
7371   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7372 
7373   /* General TS description */
7374   t->numbermonitors    = 0;
7375   t->setupcalled       = 0;
7376   t->ksp_its           = 0;
7377   t->snes_its          = 0;
7378   t->nwork             = 0;
7379   t->rhsjacobian.time  = -1e20;
7380   t->rhsjacobian.scale = 1.;
7381   t->ijacobian.shift   = 1.;
7382 
7383   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7384   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7385 
7386   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7387   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7388 
7389   t->adapt = tsin->adapt;
7390   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7391 
7392   t->problem_type      = tsin->problem_type;
7393   t->ptime             = tsin->ptime;
7394   t->time_step         = tsin->time_step;
7395   t->max_time          = tsin->max_time;
7396   t->steps             = tsin->steps;
7397   t->max_steps         = tsin->max_steps;
7398   t->equation_type     = tsin->equation_type;
7399   t->atol              = tsin->atol;
7400   t->rtol              = tsin->rtol;
7401   t->max_snes_failures = tsin->max_snes_failures;
7402   t->max_reject        = tsin->max_reject;
7403   t->errorifstepfailed = tsin->errorifstepfailed;
7404 
7405   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7406   ierr = TSSetType(t,type);CHKERRQ(ierr);
7407 
7408   t->vec_sol           = NULL;
7409 
7410   t->cfltime          = tsin->cfltime;
7411   t->cfltime_local    = tsin->cfltime_local;
7412   t->exact_final_time = tsin->exact_final_time;
7413 
7414   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7415 
7416   if (((PetscObject)tsin)->fortran_func_pointers) {
7417     PetscInt i;
7418     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7419     for (i=0; i<10; i++) {
7420       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7421     }
7422   }
7423   *tsout = t;
7424   PetscFunctionReturn(0);
7425 }
7426