xref: /petsc/src/ts/interface/ts.c (revision c688d0420b4e513ff34944d1e1ad7d4e50aafa8d)
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   This is called after the next step solution is evaluated allowing to modify it, if need be. The solution can be obtained
3292   with TSGetSolution(), the time step with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3293 
3294 .keywords: TS, timestep
3295 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3296 @*/
3297 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3298 {
3299   PetscFunctionBegin;
3300   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3301   ts->postevaluate = func;
3302   PetscFunctionReturn(0);
3303 }
3304 
3305 #undef __FUNCT__
3306 #define __FUNCT__ "TSPreStage"
3307 /*@
3308   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3309 
3310   Collective on TS
3311 
3312   Input Parameters:
3313 . ts          - The TS context obtained from TSCreate()
3314   stagetime   - The absolute time of the current stage
3315 
3316   Notes:
3317   TSPreStage() is typically used within time stepping implementations,
3318   most users would not generally call this routine themselves.
3319 
3320   Level: developer
3321 
3322 .keywords: TS, timestep
3323 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3324 @*/
3325 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3326 {
3327   PetscErrorCode ierr;
3328 
3329   PetscFunctionBegin;
3330   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3331   if (ts->prestage) {
3332     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3333   }
3334   PetscFunctionReturn(0);
3335 }
3336 
3337 #undef __FUNCT__
3338 #define __FUNCT__ "TSPostStage"
3339 /*@
3340   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3341 
3342   Collective on TS
3343 
3344   Input Parameters:
3345 . ts          - The TS context obtained from TSCreate()
3346   stagetime   - The absolute time of the current stage
3347   stageindex  - Stage number
3348   Y           - Array of vectors (of size = total number
3349                 of stages) with the stage solutions
3350 
3351   Notes:
3352   TSPostStage() is typically used within time stepping implementations,
3353   most users would not generally call this routine themselves.
3354 
3355   Level: developer
3356 
3357 .keywords: TS, timestep
3358 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3359 @*/
3360 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3361 {
3362   PetscErrorCode ierr;
3363 
3364   PetscFunctionBegin;
3365   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3366   if (ts->poststage) {
3367     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3368   }
3369   PetscFunctionReturn(0);
3370 }
3371 
3372 #undef __FUNCT__
3373 #define __FUNCT__ "TSPostEvaluate"
3374 /*@
3375   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3376 
3377   Collective on TS
3378 
3379   Input Parameters:
3380 . ts          - The TS context obtained from TSCreate()
3381 
3382   Notes:
3383   TSPostEvaluate() is typically used within time stepping implementations,
3384   most users would not generally call this routine themselves.
3385 
3386   Level: developer
3387 
3388 .keywords: TS, timestep
3389 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3390 @*/
3391 PetscErrorCode  TSPostEvaluate(TS ts)
3392 {
3393   PetscErrorCode ierr;
3394 
3395   PetscFunctionBegin;
3396   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3397   if (ts->postevaluate) {
3398     PetscStackCallStandard((*ts->postevaluate),(ts));
3399   }
3400   PetscFunctionReturn(0);
3401 }
3402 
3403 #undef __FUNCT__
3404 #define __FUNCT__ "TSSetPostStep"
3405 /*@C
3406   TSSetPostStep - Sets the general-purpose function
3407   called once at the end of each time step.
3408 
3409   Logically Collective on TS
3410 
3411   Input Parameters:
3412 + ts   - The TS context obtained from TSCreate()
3413 - func - The function
3414 
3415   Calling sequence of func:
3416 $ func (TS ts);
3417 
3418   Level: intermediate
3419 
3420 .keywords: TS, timestep
3421 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3422 @*/
3423 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3424 {
3425   PetscFunctionBegin;
3426   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3427   ts->poststep = func;
3428   PetscFunctionReturn(0);
3429 }
3430 
3431 #undef __FUNCT__
3432 #define __FUNCT__ "TSPostStep"
3433 /*@
3434   TSPostStep - Runs the user-defined post-step function.
3435 
3436   Collective on TS
3437 
3438   Input Parameters:
3439 . ts   - The TS context obtained from TSCreate()
3440 
3441   Notes:
3442   TSPostStep() is typically used within time stepping implementations,
3443   so most users would not generally call this routine themselves.
3444 
3445   Level: developer
3446 
3447 .keywords: TS, timestep
3448 @*/
3449 PetscErrorCode  TSPostStep(TS ts)
3450 {
3451   PetscErrorCode ierr;
3452 
3453   PetscFunctionBegin;
3454   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3455   if (ts->poststep) {
3456     PetscStackCallStandard((*ts->poststep),(ts));
3457   }
3458   PetscFunctionReturn(0);
3459 }
3460 
3461 /* ------------ Routines to set performance monitoring options ----------- */
3462 
3463 #undef __FUNCT__
3464 #define __FUNCT__ "TSMonitorSet"
3465 /*@C
3466    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3467    timestep to display the iteration's  progress.
3468 
3469    Logically Collective on TS
3470 
3471    Input Parameters:
3472 +  ts - the TS context obtained from TSCreate()
3473 .  monitor - monitoring routine
3474 .  mctx - [optional] user-defined context for private data for the
3475              monitor routine (use NULL if no context is desired)
3476 -  monitordestroy - [optional] routine that frees monitor context
3477           (may be NULL)
3478 
3479    Calling sequence of monitor:
3480 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3481 
3482 +    ts - the TS context
3483 .    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)
3484 .    time - current time
3485 .    u - current iterate
3486 -    mctx - [optional] monitoring context
3487 
3488    Notes:
3489    This routine adds an additional monitor to the list of monitors that
3490    already has been loaded.
3491 
3492    Fortran notes: Only a single monitor function can be set for each TS object
3493 
3494    Level: intermediate
3495 
3496 .keywords: TS, timestep, set, monitor
3497 
3498 .seealso: TSMonitorDefault(), TSMonitorCancel()
3499 @*/
3500 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3501 {
3502   PetscErrorCode ierr;
3503   PetscInt       i;
3504   PetscBool      identical;
3505 
3506   PetscFunctionBegin;
3507   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3508   for (i=0; i<ts->numbermonitors;i++) {
3509     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3510     if (identical) PetscFunctionReturn(0);
3511   }
3512   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3513   ts->monitor[ts->numbermonitors]          = monitor;
3514   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3515   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3516   PetscFunctionReturn(0);
3517 }
3518 
3519 #undef __FUNCT__
3520 #define __FUNCT__ "TSMonitorCancel"
3521 /*@C
3522    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3523 
3524    Logically Collective on TS
3525 
3526    Input Parameters:
3527 .  ts - the TS context obtained from TSCreate()
3528 
3529    Notes:
3530    There is no way to remove a single, specific monitor.
3531 
3532    Level: intermediate
3533 
3534 .keywords: TS, timestep, set, monitor
3535 
3536 .seealso: TSMonitorDefault(), TSMonitorSet()
3537 @*/
3538 PetscErrorCode  TSMonitorCancel(TS ts)
3539 {
3540   PetscErrorCode ierr;
3541   PetscInt       i;
3542 
3543   PetscFunctionBegin;
3544   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3545   for (i=0; i<ts->numbermonitors; i++) {
3546     if (ts->monitordestroy[i]) {
3547       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3548     }
3549   }
3550   ts->numbermonitors = 0;
3551   PetscFunctionReturn(0);
3552 }
3553 
3554 #undef __FUNCT__
3555 #define __FUNCT__ "TSMonitorDefault"
3556 /*@C
3557    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3558 
3559    Level: intermediate
3560 
3561 .keywords: TS, set, monitor
3562 
3563 .seealso:  TSMonitorSet()
3564 @*/
3565 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3566 {
3567   PetscErrorCode ierr;
3568   PetscViewer    viewer =  vf->viewer;
3569   PetscBool      iascii,ibinary;
3570 
3571   PetscFunctionBegin;
3572   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3573   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3574   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3575   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3576   if (iascii) {
3577     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3578     if (step == -1){ /* this indicates it is an interpolated solution */
3579       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3580     } else {
3581       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3582     }
3583     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3584   } else if (ibinary) {
3585     PetscMPIInt rank;
3586     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3587     if (!rank) {
3588       PetscBool skipHeader;
3589       PetscInt  classid = REAL_FILE_CLASSID;
3590 
3591       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3592       if (!skipHeader) {
3593          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3594        }
3595       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3596     } else {
3597       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3598     }
3599   }
3600   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3601   PetscFunctionReturn(0);
3602 }
3603 
3604 #undef __FUNCT__
3605 #define __FUNCT__ "TSAdjointMonitorSet"
3606 /*@C
3607    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3608    timestep to display the iteration's  progress.
3609 
3610    Logically Collective on TS
3611 
3612    Input Parameters:
3613 +  ts - the TS context obtained from TSCreate()
3614 .  adjointmonitor - monitoring routine
3615 .  adjointmctx - [optional] user-defined context for private data for the
3616              monitor routine (use NULL if no context is desired)
3617 -  adjointmonitordestroy - [optional] routine that frees monitor context
3618           (may be NULL)
3619 
3620    Calling sequence of monitor:
3621 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3622 
3623 +    ts - the TS context
3624 .    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
3625                                been interpolated to)
3626 .    time - current time
3627 .    u - current iterate
3628 .    numcost - number of cost functionos
3629 .    lambda - sensitivities to initial conditions
3630 .    mu - sensitivities to parameters
3631 -    adjointmctx - [optional] adjoint monitoring context
3632 
3633    Notes:
3634    This routine adds an additional monitor to the list of monitors that
3635    already has been loaded.
3636 
3637    Fortran notes: Only a single monitor function can be set for each TS object
3638 
3639    Level: intermediate
3640 
3641 .keywords: TS, timestep, set, adjoint, monitor
3642 
3643 .seealso: TSAdjointMonitorCancel()
3644 @*/
3645 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3646 {
3647   PetscErrorCode ierr;
3648   PetscInt       i;
3649   PetscBool      identical;
3650 
3651   PetscFunctionBegin;
3652   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3653   for (i=0; i<ts->numbermonitors;i++) {
3654     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3655     if (identical) PetscFunctionReturn(0);
3656   }
3657   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3658   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3659   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3660   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3661   PetscFunctionReturn(0);
3662 }
3663 
3664 #undef __FUNCT__
3665 #define __FUNCT__ "TSAdjointMonitorCancel"
3666 /*@C
3667    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3668 
3669    Logically Collective on TS
3670 
3671    Input Parameters:
3672 .  ts - the TS context obtained from TSCreate()
3673 
3674    Notes:
3675    There is no way to remove a single, specific monitor.
3676 
3677    Level: intermediate
3678 
3679 .keywords: TS, timestep, set, adjoint, monitor
3680 
3681 .seealso: TSAdjointMonitorSet()
3682 @*/
3683 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3684 {
3685   PetscErrorCode ierr;
3686   PetscInt       i;
3687 
3688   PetscFunctionBegin;
3689   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3690   for (i=0; i<ts->numberadjointmonitors; i++) {
3691     if (ts->adjointmonitordestroy[i]) {
3692       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3693     }
3694   }
3695   ts->numberadjointmonitors = 0;
3696   PetscFunctionReturn(0);
3697 }
3698 
3699 #undef __FUNCT__
3700 #define __FUNCT__ "TSAdjointMonitorDefault"
3701 /*@C
3702    TSAdjointMonitorDefault - the default monitor of adjoint computations
3703 
3704    Level: intermediate
3705 
3706 .keywords: TS, set, monitor
3707 
3708 .seealso: TSAdjointMonitorSet()
3709 @*/
3710 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3711 {
3712   PetscErrorCode ierr;
3713   PetscViewer    viewer = vf->viewer;
3714 
3715   PetscFunctionBegin;
3716   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3717   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3718   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3719   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3720   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3721   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3722   PetscFunctionReturn(0);
3723 }
3724 
3725 #undef __FUNCT__
3726 #define __FUNCT__ "TSInterpolate"
3727 /*@
3728    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3729 
3730    Collective on TS
3731 
3732    Input Argument:
3733 +  ts - time stepping context
3734 -  t - time to interpolate to
3735 
3736    Output Argument:
3737 .  U - state at given time
3738 
3739    Level: intermediate
3740 
3741    Developer Notes:
3742    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3743 
3744 .keywords: TS, set
3745 
3746 .seealso: TSSetExactFinalTime(), TSSolve()
3747 @*/
3748 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3749 {
3750   PetscErrorCode ierr;
3751 
3752   PetscFunctionBegin;
3753   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3754   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3755   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);
3756   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3757   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3758   PetscFunctionReturn(0);
3759 }
3760 
3761 #undef __FUNCT__
3762 #define __FUNCT__ "TSStep"
3763 /*@
3764    TSStep - Steps one time step
3765 
3766    Collective on TS
3767 
3768    Input Parameter:
3769 .  ts - the TS context obtained from TSCreate()
3770 
3771    Level: developer
3772 
3773    Notes:
3774    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3775 
3776    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3777    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3778 
3779    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3780    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3781 
3782 .keywords: TS, timestep, solve
3783 
3784 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3785 @*/
3786 PetscErrorCode  TSStep(TS ts)
3787 {
3788   PetscErrorCode   ierr;
3789   static PetscBool cite = PETSC_FALSE;
3790   PetscReal        ptime;
3791 
3792   PetscFunctionBegin;
3793   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3794   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3795                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3796                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3797                                 "  type        = {Preprint},\n"
3798                                 "  number      = {ANL/MCS-P5061-0114},\n"
3799                                 "  institution = {Argonne National Laboratory},\n"
3800                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3801 
3802   ierr = TSSetUp(ts);CHKERRQ(ierr);
3803   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3804 
3805   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()");
3806   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");
3807 
3808   if (!ts->steps) ts->ptime_prev = ts->ptime;
3809   ts->reason = TS_CONVERGED_ITERATING;
3810   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3811   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3812   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3813   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3814   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3815   ts->ptime_prev = ptime;
3816   ts->steps++; ts->total_steps++;
3817   ts->steprollback = PETSC_FALSE;
3818   ts->steprestart  = PETSC_FALSE;
3819 
3820   if (ts->reason < 0) {
3821     if (ts->errorifstepfailed) {
3822       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]);
3823       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3824     }
3825   } else if (!ts->reason) {
3826     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3827     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3828   }
3829   PetscFunctionReturn(0);
3830 }
3831 
3832 #undef __FUNCT__
3833 #define __FUNCT__ "TSAdjointStep"
3834 /*@
3835    TSAdjointStep - Steps one time step backward in the adjoint run
3836 
3837    Collective on TS
3838 
3839    Input Parameter:
3840 .  ts - the TS context obtained from TSCreate()
3841 
3842    Level: intermediate
3843 
3844 .keywords: TS, adjoint, step
3845 
3846 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3847 @*/
3848 PetscErrorCode  TSAdjointStep(TS ts)
3849 {
3850   DM               dm;
3851   PetscErrorCode   ierr;
3852 
3853   PetscFunctionBegin;
3854   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3855   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3856   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3857 
3858   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3859 
3860   ts->reason = TS_CONVERGED_ITERATING;
3861   ts->ptime_prev = ts->ptime;
3862   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);
3863   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3864   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3865   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3866   ts->steps++; ts->total_steps--;
3867 
3868   if (ts->reason < 0) {
3869     if (ts->errorifstepfailed) {
3870       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]);
3871       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]);
3872       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3873     }
3874   } else if (!ts->reason) {
3875     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3876   }
3877   PetscFunctionReturn(0);
3878 }
3879 
3880 #undef __FUNCT__
3881 #define __FUNCT__ "TSEvaluateWLTE"
3882 /*@
3883    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3884    at the end of a time step with a given order of accuracy.
3885 
3886    Collective on TS
3887 
3888    Input Arguments:
3889 +  ts - time stepping context
3890 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3891 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3892 
3893    Output Arguments:
3894 +  order - optional, the actual order of the error evaluation
3895 -  wlte - the weighted local truncation error norm
3896 
3897    Level: advanced
3898 
3899    Notes:
3900    If the timestepper cannot evaluate the error in a particular step
3901    (eg. in the first step or restart steps after event handling),
3902    this routine returns wlte=-1.0 .
3903 
3904 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3905 @*/
3906 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3907 {
3908   PetscErrorCode ierr;
3909 
3910   PetscFunctionBegin;
3911   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3912   PetscValidType(ts,1);
3913   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3914   if (order) PetscValidIntPointer(order,3);
3915   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3916   PetscValidRealPointer(wlte,4);
3917   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3918   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3919   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3920   PetscFunctionReturn(0);
3921 }
3922 
3923 #undef __FUNCT__
3924 #define __FUNCT__ "TSEvaluateStep"
3925 /*@
3926    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3927 
3928    Collective on TS
3929 
3930    Input Arguments:
3931 +  ts - time stepping context
3932 .  order - desired order of accuracy
3933 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3934 
3935    Output Arguments:
3936 .  U - state at the end of the current step
3937 
3938    Level: advanced
3939 
3940    Notes:
3941    This function cannot be called until all stages have been evaluated.
3942    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.
3943 
3944 .seealso: TSStep(), TSAdapt
3945 @*/
3946 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3947 {
3948   PetscErrorCode ierr;
3949 
3950   PetscFunctionBegin;
3951   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3952   PetscValidType(ts,1);
3953   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3954   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3955   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3956   PetscFunctionReturn(0);
3957 }
3958 
3959 #undef __FUNCT__
3960 #define __FUNCT__ "TSForwardCostIntegral"
3961 /*@
3962  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3963 
3964  Collective on TS
3965 
3966  Input Arguments:
3967  .  ts - time stepping context
3968 
3969  Level: advanced
3970 
3971  Notes:
3972  This function cannot be called until TSStep() has been completed.
3973 
3974  .seealso: TSSolve(), TSAdjointCostIntegral()
3975  @*/
3976 PetscErrorCode TSForwardCostIntegral(TS ts)
3977 {
3978     PetscErrorCode ierr;
3979     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3980     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);
3981     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3982     PetscFunctionReturn(0);
3983 }
3984 
3985 #undef __FUNCT__
3986 #define __FUNCT__ "TSSolve"
3987 /*@
3988    TSSolve - Steps the requested number of timesteps.
3989 
3990    Collective on TS
3991 
3992    Input Parameter:
3993 +  ts - the TS context obtained from TSCreate()
3994 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
3995                              otherwise must contain the initial conditions and will contain the solution at the final requested time
3996 
3997    Level: beginner
3998 
3999    Notes:
4000    The final time returned by this function may be different from the time of the internally
4001    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4002    stepped over the final time.
4003 
4004 .keywords: TS, timestep, solve
4005 
4006 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4007 @*/
4008 PetscErrorCode TSSolve(TS ts,Vec u)
4009 {
4010   Vec               solution;
4011   PetscErrorCode    ierr;
4012 
4013   PetscFunctionBegin;
4014   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4015   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4016 
4017   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 */
4018     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4019     if (!ts->vec_sol || u == ts->vec_sol) {
4020       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4021       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4022       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4023     }
4024     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4025   } else if (u) {
4026     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4027   }
4028   ierr = TSSetUp(ts);CHKERRQ(ierr);
4029   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4030 
4031   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()");
4032   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");
4033 
4034   /* reset time step and iteration counters */
4035   ts->steps             = 0;
4036   ts->ksp_its           = 0;
4037   ts->snes_its          = 0;
4038   ts->num_snes_failures = 0;
4039   ts->reject            = 0;
4040   ts->reason            = TS_CONVERGED_ITERATING;
4041 
4042   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4043 
4044   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4045     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4046     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4047     ts->solvetime = ts->ptime;
4048     solution = ts->vec_sol;
4049   } else { /* Step the requested number of timesteps. */
4050     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4051     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4052     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4053     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4054     ts->steprollback = PETSC_FALSE;
4055     ts->steprestart  = PETSC_TRUE;
4056 
4057     while (!ts->reason) {
4058       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4059       if (!ts->steprollback) {
4060         ierr = TSPreStep(ts);CHKERRQ(ierr);
4061       }
4062       ierr = TSStep(ts);CHKERRQ(ierr);
4063       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4064         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4065       }
4066       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. */
4067       if (!ts->steprollback) {
4068         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4069         ierr = TSPostStep(ts);CHKERRQ(ierr);
4070       }
4071     }
4072     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4073 
4074     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4075       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4076       ts->solvetime = ts->max_time;
4077       solution = u;
4078       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4079     } else {
4080       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4081       ts->solvetime = ts->ptime;
4082       solution = ts->vec_sol;
4083     }
4084   }
4085 
4086   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4087   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4088   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4089   if (ts->adjoint_solve) {
4090     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4091   }
4092   PetscFunctionReturn(0);
4093 }
4094 
4095 #undef __FUNCT__
4096 #define __FUNCT__ "TSAdjointCostIntegral"
4097 /*@
4098  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4099 
4100  Collective on TS
4101 
4102  Input Arguments:
4103  .  ts - time stepping context
4104 
4105  Level: advanced
4106 
4107  Notes:
4108  This function cannot be called until TSAdjointStep() has been completed.
4109 
4110  .seealso: TSAdjointSolve(), TSAdjointStep
4111  @*/
4112 PetscErrorCode TSAdjointCostIntegral(TS ts)
4113 {
4114     PetscErrorCode ierr;
4115     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4116     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);
4117     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4118     PetscFunctionReturn(0);
4119 }
4120 
4121 #undef __FUNCT__
4122 #define __FUNCT__ "TSAdjointSolve"
4123 /*@
4124    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4125 
4126    Collective on TS
4127 
4128    Input Parameter:
4129 .  ts - the TS context obtained from TSCreate()
4130 
4131    Options Database:
4132 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4133 
4134    Level: intermediate
4135 
4136    Notes:
4137    This must be called after a call to TSSolve() that solves the forward problem
4138 
4139    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4140 
4141 .keywords: TS, timestep, solve
4142 
4143 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4144 @*/
4145 PetscErrorCode TSAdjointSolve(TS ts)
4146 {
4147   PetscErrorCode    ierr;
4148 
4149   PetscFunctionBegin;
4150   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4151   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4152 
4153   /* reset time step and iteration counters */
4154   ts->steps             = 0;
4155   ts->ksp_its           = 0;
4156   ts->snes_its          = 0;
4157   ts->num_snes_failures = 0;
4158   ts->reject            = 0;
4159   ts->reason            = TS_CONVERGED_ITERATING;
4160 
4161   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4162 
4163   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4164   while (!ts->reason) {
4165     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4166     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4167     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4168     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4169     if (ts->vec_costintegral && !ts->costintegralfwd) {
4170       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4171     }
4172   }
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   ts->solvetime = ts->ptime;
4176   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4177   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4178   PetscFunctionReturn(0);
4179 }
4180 
4181 #undef __FUNCT__
4182 #define __FUNCT__ "TSMonitor"
4183 /*@C
4184    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4185 
4186    Collective on TS
4187 
4188    Input Parameters:
4189 +  ts - time stepping context obtained from TSCreate()
4190 .  step - step number that has just completed
4191 .  ptime - model time of the state
4192 -  u - state at the current model time
4193 
4194    Notes:
4195    TSMonitor() is typically used automatically within the time stepping implementations.
4196    Users would almost never call this routine directly.
4197 
4198    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4199 
4200    Level: developer
4201 
4202 .keywords: TS, timestep
4203 @*/
4204 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4205 {
4206   DM             dm;
4207   PetscInt       i,n = ts->numbermonitors;
4208   PetscErrorCode ierr;
4209 
4210   PetscFunctionBegin;
4211   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4212   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4213 
4214   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4215   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4216 
4217   ierr = VecLockPush(u);CHKERRQ(ierr);
4218   for (i=0; i<n; i++) {
4219     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4220   }
4221   ierr = VecLockPop(u);CHKERRQ(ierr);
4222   PetscFunctionReturn(0);
4223 }
4224 
4225 #undef __FUNCT__
4226 #define __FUNCT__ "TSAdjointMonitor"
4227 /*@C
4228    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4229 
4230    Collective on TS
4231 
4232    Input Parameters:
4233 +  ts - time stepping context obtained from TSCreate()
4234 .  step - step number that has just completed
4235 .  ptime - model time of the state
4236 .  u - state at the current model time
4237 .  numcost - number of cost functions (dimension of lambda  or mu)
4238 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4239 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4240 
4241    Notes:
4242    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4243    Users would almost never call this routine directly.
4244 
4245    Level: developer
4246 
4247 .keywords: TS, timestep
4248 @*/
4249 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4250 {
4251   PetscErrorCode ierr;
4252   PetscInt       i,n = ts->numberadjointmonitors;
4253 
4254   PetscFunctionBegin;
4255   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4256   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4257   ierr = VecLockPush(u);CHKERRQ(ierr);
4258   for (i=0; i<n; i++) {
4259     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4260   }
4261   ierr = VecLockPop(u);CHKERRQ(ierr);
4262   PetscFunctionReturn(0);
4263 }
4264 
4265 /* ------------------------------------------------------------------------*/
4266 #undef __FUNCT__
4267 #define __FUNCT__ "TSMonitorLGCtxCreate"
4268 /*@C
4269    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4270    TS to monitor the solution process graphically in various ways
4271 
4272    Collective on TS
4273 
4274    Input Parameters:
4275 +  host - the X display to open, or null for the local machine
4276 .  label - the title to put in the title bar
4277 .  x, y - the screen coordinates of the upper left coordinate of the window
4278 .  m, n - the screen width and height in pixels
4279 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4280 
4281    Output Parameter:
4282 .  ctx - the context
4283 
4284    Options Database Key:
4285 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4286 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4287 .  -ts_monitor_lg_error -  monitor the error
4288 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4289 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4290 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4291 
4292    Notes:
4293    Use TSMonitorLGCtxDestroy() to destroy.
4294 
4295    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4296 
4297    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4298    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
4299    as the first argument.
4300 
4301    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4302 
4303 
4304    Level: intermediate
4305 
4306 .keywords: TS, monitor, line graph, residual
4307 
4308 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4309            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4310            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4311            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4312            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4313 
4314 @*/
4315 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4316 {
4317   PetscDraw      draw;
4318   PetscErrorCode ierr;
4319 
4320   PetscFunctionBegin;
4321   ierr = PetscNew(ctx);CHKERRQ(ierr);
4322   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4323   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4324   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4325   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4326   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4327   (*ctx)->howoften = howoften;
4328   PetscFunctionReturn(0);
4329 }
4330 
4331 #undef __FUNCT__
4332 #define __FUNCT__ "TSMonitorLGTimeStep"
4333 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4334 {
4335   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4336   PetscReal      x   = ptime,y;
4337   PetscErrorCode ierr;
4338 
4339   PetscFunctionBegin;
4340   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4341   if (!step) {
4342     PetscDrawAxis axis;
4343     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4344     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4345     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4346   }
4347   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4348   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4349   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4350     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4351     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4352   }
4353   PetscFunctionReturn(0);
4354 }
4355 
4356 #undef __FUNCT__
4357 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4358 /*@C
4359    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4360    with TSMonitorLGCtxCreate().
4361 
4362    Collective on TSMonitorLGCtx
4363 
4364    Input Parameter:
4365 .  ctx - the monitor context
4366 
4367    Level: intermediate
4368 
4369 .keywords: TS, monitor, line graph, destroy
4370 
4371 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4372 @*/
4373 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4374 {
4375   PetscErrorCode ierr;
4376 
4377   PetscFunctionBegin;
4378   if ((*ctx)->transformdestroy) {
4379     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4380   }
4381   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4382   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4383   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4384   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4385   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4386   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4387   PetscFunctionReturn(0);
4388 }
4389 
4390 #undef __FUNCT__
4391 #define __FUNCT__ "TSGetTime"
4392 /*@
4393    TSGetTime - Gets the time of the most recently completed step.
4394 
4395    Not Collective
4396 
4397    Input Parameter:
4398 .  ts - the TS context obtained from TSCreate()
4399 
4400    Output Parameter:
4401 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4402 
4403    Level: beginner
4404 
4405    Note:
4406    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4407    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4408 
4409 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4410 
4411 .keywords: TS, get, time
4412 @*/
4413 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4414 {
4415   PetscFunctionBegin;
4416   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4417   PetscValidRealPointer(t,2);
4418   *t = ts->ptime;
4419   PetscFunctionReturn(0);
4420 }
4421 
4422 #undef __FUNCT__
4423 #define __FUNCT__ "TSGetPrevTime"
4424 /*@
4425    TSGetPrevTime - Gets the starting time of the previously completed step.
4426 
4427    Not Collective
4428 
4429    Input Parameter:
4430 .  ts - the TS context obtained from TSCreate()
4431 
4432    Output Parameter:
4433 .  t  - the previous time
4434 
4435    Level: beginner
4436 
4437 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4438 
4439 .keywords: TS, get, time
4440 @*/
4441 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4442 {
4443   PetscFunctionBegin;
4444   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4445   PetscValidRealPointer(t,2);
4446   *t = ts->ptime_prev;
4447   PetscFunctionReturn(0);
4448 }
4449 
4450 #undef __FUNCT__
4451 #define __FUNCT__ "TSSetTime"
4452 /*@
4453    TSSetTime - Allows one to reset the time.
4454 
4455    Logically Collective on TS
4456 
4457    Input Parameters:
4458 +  ts - the TS context obtained from TSCreate()
4459 -  time - the time
4460 
4461    Level: intermediate
4462 
4463 .seealso: TSGetTime(), TSSetDuration()
4464 
4465 .keywords: TS, set, time
4466 @*/
4467 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4468 {
4469   PetscFunctionBegin;
4470   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4471   PetscValidLogicalCollectiveReal(ts,t,2);
4472   ts->ptime = t;
4473   PetscFunctionReturn(0);
4474 }
4475 
4476 #undef __FUNCT__
4477 #define __FUNCT__ "TSSetOptionsPrefix"
4478 /*@C
4479    TSSetOptionsPrefix - Sets the prefix used for searching for all
4480    TS options in the database.
4481 
4482    Logically Collective on TS
4483 
4484    Input Parameter:
4485 +  ts     - The TS context
4486 -  prefix - The prefix to prepend to all option names
4487 
4488    Notes:
4489    A hyphen (-) must NOT be given at the beginning of the prefix name.
4490    The first character of all runtime options is AUTOMATICALLY the
4491    hyphen.
4492 
4493    Level: advanced
4494 
4495 .keywords: TS, set, options, prefix, database
4496 
4497 .seealso: TSSetFromOptions()
4498 
4499 @*/
4500 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4501 {
4502   PetscErrorCode ierr;
4503   SNES           snes;
4504 
4505   PetscFunctionBegin;
4506   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4507   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4508   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4509   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4510   PetscFunctionReturn(0);
4511 }
4512 
4513 
4514 #undef __FUNCT__
4515 #define __FUNCT__ "TSAppendOptionsPrefix"
4516 /*@C
4517    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4518    TS options in the database.
4519 
4520    Logically Collective on TS
4521 
4522    Input Parameter:
4523 +  ts     - The TS context
4524 -  prefix - The prefix to prepend to all option names
4525 
4526    Notes:
4527    A hyphen (-) must NOT be given at the beginning of the prefix name.
4528    The first character of all runtime options is AUTOMATICALLY the
4529    hyphen.
4530 
4531    Level: advanced
4532 
4533 .keywords: TS, append, options, prefix, database
4534 
4535 .seealso: TSGetOptionsPrefix()
4536 
4537 @*/
4538 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4539 {
4540   PetscErrorCode ierr;
4541   SNES           snes;
4542 
4543   PetscFunctionBegin;
4544   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4545   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4546   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4547   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4548   PetscFunctionReturn(0);
4549 }
4550 
4551 #undef __FUNCT__
4552 #define __FUNCT__ "TSGetOptionsPrefix"
4553 /*@C
4554    TSGetOptionsPrefix - Sets the prefix used for searching for all
4555    TS options in the database.
4556 
4557    Not Collective
4558 
4559    Input Parameter:
4560 .  ts - The TS context
4561 
4562    Output Parameter:
4563 .  prefix - A pointer to the prefix string used
4564 
4565    Notes: On the fortran side, the user should pass in a string 'prifix' of
4566    sufficient length to hold the prefix.
4567 
4568    Level: intermediate
4569 
4570 .keywords: TS, get, options, prefix, database
4571 
4572 .seealso: TSAppendOptionsPrefix()
4573 @*/
4574 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4575 {
4576   PetscErrorCode ierr;
4577 
4578   PetscFunctionBegin;
4579   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4580   PetscValidPointer(prefix,2);
4581   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4582   PetscFunctionReturn(0);
4583 }
4584 
4585 #undef __FUNCT__
4586 #define __FUNCT__ "TSGetRHSJacobian"
4587 /*@C
4588    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4589 
4590    Not Collective, but parallel objects are returned if TS is parallel
4591 
4592    Input Parameter:
4593 .  ts  - The TS context obtained from TSCreate()
4594 
4595    Output Parameters:
4596 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4597 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4598 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4599 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4600 
4601    Notes: You can pass in NULL for any return argument you do not need.
4602 
4603    Level: intermediate
4604 
4605 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4606 
4607 .keywords: TS, timestep, get, matrix, Jacobian
4608 @*/
4609 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4610 {
4611   PetscErrorCode ierr;
4612   SNES           snes;
4613   DM             dm;
4614 
4615   PetscFunctionBegin;
4616   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4617   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4618   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4619   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4620   PetscFunctionReturn(0);
4621 }
4622 
4623 #undef __FUNCT__
4624 #define __FUNCT__ "TSGetIJacobian"
4625 /*@C
4626    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4627 
4628    Not Collective, but parallel objects are returned if TS is parallel
4629 
4630    Input Parameter:
4631 .  ts  - The TS context obtained from TSCreate()
4632 
4633    Output Parameters:
4634 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4635 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4636 .  f   - The function to compute the matrices
4637 - ctx - User-defined context for Jacobian evaluation routine
4638 
4639    Notes: You can pass in NULL for any return argument you do not need.
4640 
4641    Level: advanced
4642 
4643 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4644 
4645 .keywords: TS, timestep, get, matrix, Jacobian
4646 @*/
4647 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4648 {
4649   PetscErrorCode ierr;
4650   SNES           snes;
4651   DM             dm;
4652 
4653   PetscFunctionBegin;
4654   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4655   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4656   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4657   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4658   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4659   PetscFunctionReturn(0);
4660 }
4661 
4662 
4663 #undef __FUNCT__
4664 #define __FUNCT__ "TSMonitorDrawSolution"
4665 /*@C
4666    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4667    VecView() for the solution at each timestep
4668 
4669    Collective on TS
4670 
4671    Input Parameters:
4672 +  ts - the TS context
4673 .  step - current time-step
4674 .  ptime - current time
4675 -  dummy - either a viewer or NULL
4676 
4677    Options Database:
4678 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4679 
4680    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4681        will look bad
4682 
4683    Level: intermediate
4684 
4685 .keywords: TS,  vector, monitor, view
4686 
4687 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4688 @*/
4689 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4690 {
4691   PetscErrorCode   ierr;
4692   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4693   PetscDraw        draw;
4694 
4695   PetscFunctionBegin;
4696   if (!step && ictx->showinitial) {
4697     if (!ictx->initialsolution) {
4698       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4699     }
4700     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4701   }
4702   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4703 
4704   if (ictx->showinitial) {
4705     PetscReal pause;
4706     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4707     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4708     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4709     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4710     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4711   }
4712   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4713   if (ictx->showtimestepandtime) {
4714     PetscReal xl,yl,xr,yr,h;
4715     char      time[32];
4716 
4717     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4718     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4719     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4720     h    = yl + .95*(yr - yl);
4721     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4722     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4723   }
4724 
4725   if (ictx->showinitial) {
4726     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4727   }
4728   PetscFunctionReturn(0);
4729 }
4730 
4731 #undef __FUNCT__
4732 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4733 /*@C
4734    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4735    VecView() for the sensitivities to initial states at each timestep
4736 
4737    Collective on TS
4738 
4739    Input Parameters:
4740 +  ts - the TS context
4741 .  step - current time-step
4742 .  ptime - current time
4743 .  u - current state
4744 .  numcost - number of cost functions
4745 .  lambda - sensitivities to initial conditions
4746 .  mu - sensitivities to parameters
4747 -  dummy - either a viewer or NULL
4748 
4749    Level: intermediate
4750 
4751 .keywords: TS,  vector, adjoint, monitor, view
4752 
4753 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4754 @*/
4755 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4756 {
4757   PetscErrorCode   ierr;
4758   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4759   PetscDraw        draw;
4760   PetscReal        xl,yl,xr,yr,h;
4761   char             time[32];
4762 
4763   PetscFunctionBegin;
4764   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4765 
4766   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4767   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4768   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4769   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4770   h    = yl + .95*(yr - yl);
4771   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4772   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4773   PetscFunctionReturn(0);
4774 }
4775 
4776 #undef __FUNCT__
4777 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4778 /*@C
4779    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4780 
4781    Collective on TS
4782 
4783    Input Parameters:
4784 +  ts - the TS context
4785 .  step - current time-step
4786 .  ptime - current time
4787 -  dummy - either a viewer or NULL
4788 
4789    Level: intermediate
4790 
4791 .keywords: TS,  vector, monitor, view
4792 
4793 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4794 @*/
4795 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4796 {
4797   PetscErrorCode    ierr;
4798   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4799   PetscDraw         draw;
4800   PetscDrawAxis     axis;
4801   PetscInt          n;
4802   PetscMPIInt       size;
4803   PetscReal         U0,U1,xl,yl,xr,yr,h;
4804   char              time[32];
4805   const PetscScalar *U;
4806 
4807   PetscFunctionBegin;
4808   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4809   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4810   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4811   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4812 
4813   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4814   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4815   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4816   if (!step) {
4817     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4818     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4819   }
4820 
4821   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4822   U0 = PetscRealPart(U[0]);
4823   U1 = PetscRealPart(U[1]);
4824   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4825   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4826 
4827   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4828   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4829   if (ictx->showtimestepandtime) {
4830     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4831     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4832     h    = yl + .95*(yr - yl);
4833     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4834   }
4835   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4836   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4837   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4838   PetscFunctionReturn(0);
4839 }
4840 
4841 
4842 #undef __FUNCT__
4843 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4844 /*@C
4845    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4846 
4847    Collective on TS
4848 
4849    Input Parameters:
4850 .    ctx - the monitor context
4851 
4852    Level: intermediate
4853 
4854 .keywords: TS,  vector, monitor, view
4855 
4856 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4857 @*/
4858 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4859 {
4860   PetscErrorCode ierr;
4861 
4862   PetscFunctionBegin;
4863   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4864   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4865   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4866   PetscFunctionReturn(0);
4867 }
4868 
4869 #undef __FUNCT__
4870 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4871 /*@C
4872    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4873 
4874    Collective on TS
4875 
4876    Input Parameter:
4877 .    ts - time-step context
4878 
4879    Output Patameter:
4880 .    ctx - the monitor context
4881 
4882    Options Database:
4883 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4884 
4885    Level: intermediate
4886 
4887 .keywords: TS,  vector, monitor, view
4888 
4889 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4890 @*/
4891 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4892 {
4893   PetscErrorCode   ierr;
4894 
4895   PetscFunctionBegin;
4896   ierr = PetscNew(ctx);CHKERRQ(ierr);
4897   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4898   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4899 
4900   (*ctx)->howoften    = howoften;
4901   (*ctx)->showinitial = PETSC_FALSE;
4902   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4903 
4904   (*ctx)->showtimestepandtime = PETSC_FALSE;
4905   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4906   PetscFunctionReturn(0);
4907 }
4908 
4909 #undef __FUNCT__
4910 #define __FUNCT__ "TSMonitorDrawError"
4911 /*@C
4912    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4913    VecView() for the error at each timestep
4914 
4915    Collective on TS
4916 
4917    Input Parameters:
4918 +  ts - the TS context
4919 .  step - current time-step
4920 .  ptime - current time
4921 -  dummy - either a viewer or NULL
4922 
4923    Level: intermediate
4924 
4925 .keywords: TS,  vector, monitor, view
4926 
4927 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4928 @*/
4929 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4930 {
4931   PetscErrorCode   ierr;
4932   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4933   PetscViewer      viewer = ctx->viewer;
4934   Vec              work;
4935 
4936   PetscFunctionBegin;
4937   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4938   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4939   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4940   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4941   ierr = VecView(work,viewer);CHKERRQ(ierr);
4942   ierr = VecDestroy(&work);CHKERRQ(ierr);
4943   PetscFunctionReturn(0);
4944 }
4945 
4946 #include <petsc/private/dmimpl.h>
4947 #undef __FUNCT__
4948 #define __FUNCT__ "TSSetDM"
4949 /*@
4950    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
4951 
4952    Logically Collective on TS and DM
4953 
4954    Input Parameters:
4955 +  ts - the ODE integrator object
4956 -  dm - the dm, cannot be NULL
4957 
4958    Level: intermediate
4959 
4960 
4961 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4962 @*/
4963 PetscErrorCode  TSSetDM(TS ts,DM dm)
4964 {
4965   PetscErrorCode ierr;
4966   SNES           snes;
4967   DMTS           tsdm;
4968 
4969   PetscFunctionBegin;
4970   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4971   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
4972   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4973   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4974     if (ts->dm->dmts && !dm->dmts) {
4975       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4976       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4977       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4978         tsdm->originaldm = dm;
4979       }
4980     }
4981     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4982   }
4983   ts->dm = dm;
4984 
4985   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4986   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4987   PetscFunctionReturn(0);
4988 }
4989 
4990 #undef __FUNCT__
4991 #define __FUNCT__ "TSGetDM"
4992 /*@
4993    TSGetDM - Gets the DM that may be used by some preconditioners
4994 
4995    Not Collective
4996 
4997    Input Parameter:
4998 . ts - the preconditioner context
4999 
5000    Output Parameter:
5001 .  dm - the dm
5002 
5003    Level: intermediate
5004 
5005 
5006 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5007 @*/
5008 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5009 {
5010   PetscErrorCode ierr;
5011 
5012   PetscFunctionBegin;
5013   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5014   if (!ts->dm) {
5015     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5016     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5017   }
5018   *dm = ts->dm;
5019   PetscFunctionReturn(0);
5020 }
5021 
5022 #undef __FUNCT__
5023 #define __FUNCT__ "SNESTSFormFunction"
5024 /*@
5025    SNESTSFormFunction - Function to evaluate nonlinear residual
5026 
5027    Logically Collective on SNES
5028 
5029    Input Parameter:
5030 + snes - nonlinear solver
5031 . U - the current state at which to evaluate the residual
5032 - ctx - user context, must be a TS
5033 
5034    Output Parameter:
5035 . F - the nonlinear residual
5036 
5037    Notes:
5038    This function is not normally called by users and is automatically registered with the SNES used by TS.
5039    It is most frequently passed to MatFDColoringSetFunction().
5040 
5041    Level: advanced
5042 
5043 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5044 @*/
5045 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5046 {
5047   TS             ts = (TS)ctx;
5048   PetscErrorCode ierr;
5049 
5050   PetscFunctionBegin;
5051   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5052   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5053   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5054   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5055   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5056   PetscFunctionReturn(0);
5057 }
5058 
5059 #undef __FUNCT__
5060 #define __FUNCT__ "SNESTSFormJacobian"
5061 /*@
5062    SNESTSFormJacobian - Function to evaluate the Jacobian
5063 
5064    Collective on SNES
5065 
5066    Input Parameter:
5067 + snes - nonlinear solver
5068 . U - the current state at which to evaluate the residual
5069 - ctx - user context, must be a TS
5070 
5071    Output Parameter:
5072 + A - the Jacobian
5073 . B - the preconditioning matrix (may be the same as A)
5074 - flag - indicates any structure change in the matrix
5075 
5076    Notes:
5077    This function is not normally called by users and is automatically registered with the SNES used by TS.
5078 
5079    Level: developer
5080 
5081 .seealso: SNESSetJacobian()
5082 @*/
5083 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5084 {
5085   TS             ts = (TS)ctx;
5086   PetscErrorCode ierr;
5087 
5088   PetscFunctionBegin;
5089   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5090   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5091   PetscValidPointer(A,3);
5092   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5093   PetscValidPointer(B,4);
5094   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5095   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5096   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5097   PetscFunctionReturn(0);
5098 }
5099 
5100 #undef __FUNCT__
5101 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5102 /*@C
5103    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5104 
5105    Collective on TS
5106 
5107    Input Arguments:
5108 +  ts - time stepping context
5109 .  t - time at which to evaluate
5110 .  U - state at which to evaluate
5111 -  ctx - context
5112 
5113    Output Arguments:
5114 .  F - right hand side
5115 
5116    Level: intermediate
5117 
5118    Notes:
5119    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5120    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5121 
5122 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5123 @*/
5124 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5125 {
5126   PetscErrorCode ierr;
5127   Mat            Arhs,Brhs;
5128 
5129   PetscFunctionBegin;
5130   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5131   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5132   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5133   PetscFunctionReturn(0);
5134 }
5135 
5136 #undef __FUNCT__
5137 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5138 /*@C
5139    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5140 
5141    Collective on TS
5142 
5143    Input Arguments:
5144 +  ts - time stepping context
5145 .  t - time at which to evaluate
5146 .  U - state at which to evaluate
5147 -  ctx - context
5148 
5149    Output Arguments:
5150 +  A - pointer to operator
5151 .  B - pointer to preconditioning matrix
5152 -  flg - matrix structure flag
5153 
5154    Level: intermediate
5155 
5156    Notes:
5157    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5158 
5159 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5160 @*/
5161 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5162 {
5163   PetscFunctionBegin;
5164   PetscFunctionReturn(0);
5165 }
5166 
5167 #undef __FUNCT__
5168 #define __FUNCT__ "TSComputeIFunctionLinear"
5169 /*@C
5170    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5171 
5172    Collective on TS
5173 
5174    Input Arguments:
5175 +  ts - time stepping context
5176 .  t - time at which to evaluate
5177 .  U - state at which to evaluate
5178 .  Udot - time derivative of state vector
5179 -  ctx - context
5180 
5181    Output Arguments:
5182 .  F - left hand side
5183 
5184    Level: intermediate
5185 
5186    Notes:
5187    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
5188    user is required to write their own TSComputeIFunction.
5189    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5190    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5191 
5192    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5193 
5194 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5195 @*/
5196 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5197 {
5198   PetscErrorCode ierr;
5199   Mat            A,B;
5200 
5201   PetscFunctionBegin;
5202   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5203   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5204   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5205   PetscFunctionReturn(0);
5206 }
5207 
5208 #undef __FUNCT__
5209 #define __FUNCT__ "TSComputeIJacobianConstant"
5210 /*@C
5211    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5212 
5213    Collective on TS
5214 
5215    Input Arguments:
5216 +  ts - time stepping context
5217 .  t - time at which to evaluate
5218 .  U - state at which to evaluate
5219 .  Udot - time derivative of state vector
5220 .  shift - shift to apply
5221 -  ctx - context
5222 
5223    Output Arguments:
5224 +  A - pointer to operator
5225 .  B - pointer to preconditioning matrix
5226 -  flg - matrix structure flag
5227 
5228    Level: advanced
5229 
5230    Notes:
5231    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5232 
5233    It is only appropriate for problems of the form
5234 
5235 $     M Udot = F(U,t)
5236 
5237   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5238   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5239   an implicit operator of the form
5240 
5241 $    shift*M + J
5242 
5243   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
5244   a copy of M or reassemble it when requested.
5245 
5246 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5247 @*/
5248 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5249 {
5250   PetscErrorCode ierr;
5251 
5252   PetscFunctionBegin;
5253   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5254   ts->ijacobian.shift = shift;
5255   PetscFunctionReturn(0);
5256 }
5257 
5258 #undef __FUNCT__
5259 #define __FUNCT__ "TSGetEquationType"
5260 /*@
5261    TSGetEquationType - Gets the type of the equation that TS is solving.
5262 
5263    Not Collective
5264 
5265    Input Parameter:
5266 .  ts - the TS context
5267 
5268    Output Parameter:
5269 .  equation_type - see TSEquationType
5270 
5271    Level: beginner
5272 
5273 .keywords: TS, equation type
5274 
5275 .seealso: TSSetEquationType(), TSEquationType
5276 @*/
5277 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5278 {
5279   PetscFunctionBegin;
5280   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5281   PetscValidPointer(equation_type,2);
5282   *equation_type = ts->equation_type;
5283   PetscFunctionReturn(0);
5284 }
5285 
5286 #undef __FUNCT__
5287 #define __FUNCT__ "TSSetEquationType"
5288 /*@
5289    TSSetEquationType - Sets the type of the equation that TS is solving.
5290 
5291    Not Collective
5292 
5293    Input Parameter:
5294 +  ts - the TS context
5295 -  equation_type - see TSEquationType
5296 
5297    Level: advanced
5298 
5299 .keywords: TS, equation type
5300 
5301 .seealso: TSGetEquationType(), TSEquationType
5302 @*/
5303 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5304 {
5305   PetscFunctionBegin;
5306   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5307   ts->equation_type = equation_type;
5308   PetscFunctionReturn(0);
5309 }
5310 
5311 #undef __FUNCT__
5312 #define __FUNCT__ "TSGetConvergedReason"
5313 /*@
5314    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5315 
5316    Not Collective
5317 
5318    Input Parameter:
5319 .  ts - the TS context
5320 
5321    Output Parameter:
5322 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5323             manual pages for the individual convergence tests for complete lists
5324 
5325    Level: beginner
5326 
5327    Notes:
5328    Can only be called after the call to TSSolve() is complete.
5329 
5330 .keywords: TS, nonlinear, set, convergence, test
5331 
5332 .seealso: TSSetConvergenceTest(), TSConvergedReason
5333 @*/
5334 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5335 {
5336   PetscFunctionBegin;
5337   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5338   PetscValidPointer(reason,2);
5339   *reason = ts->reason;
5340   PetscFunctionReturn(0);
5341 }
5342 
5343 #undef __FUNCT__
5344 #define __FUNCT__ "TSSetConvergedReason"
5345 /*@
5346    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5347 
5348    Not Collective
5349 
5350    Input Parameter:
5351 +  ts - the TS context
5352 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5353             manual pages for the individual convergence tests for complete lists
5354 
5355    Level: advanced
5356 
5357    Notes:
5358    Can only be called during TSSolve() is active.
5359 
5360 .keywords: TS, nonlinear, set, convergence, test
5361 
5362 .seealso: TSConvergedReason
5363 @*/
5364 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5365 {
5366   PetscFunctionBegin;
5367   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5368   ts->reason = reason;
5369   PetscFunctionReturn(0);
5370 }
5371 
5372 #undef __FUNCT__
5373 #define __FUNCT__ "TSGetSolveTime"
5374 /*@
5375    TSGetSolveTime - Gets the time after a call to TSSolve()
5376 
5377    Not Collective
5378 
5379    Input Parameter:
5380 .  ts - the TS context
5381 
5382    Output Parameter:
5383 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5384 
5385    Level: beginner
5386 
5387    Notes:
5388    Can only be called after the call to TSSolve() is complete.
5389 
5390 .keywords: TS, nonlinear, set, convergence, test
5391 
5392 .seealso: TSSetConvergenceTest(), TSConvergedReason
5393 @*/
5394 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5395 {
5396   PetscFunctionBegin;
5397   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5398   PetscValidPointer(ftime,2);
5399   *ftime = ts->solvetime;
5400   PetscFunctionReturn(0);
5401 }
5402 
5403 #undef __FUNCT__
5404 #define __FUNCT__ "TSGetTotalSteps"
5405 /*@
5406    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5407 
5408    Not Collective
5409 
5410    Input Parameter:
5411 .  ts - the TS context
5412 
5413    Output Parameter:
5414 .  steps - the number of steps
5415 
5416    Level: beginner
5417 
5418    Notes:
5419    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5420 
5421 .keywords: TS, nonlinear, set, convergence, test
5422 
5423 .seealso: TSSetConvergenceTest(), TSConvergedReason
5424 @*/
5425 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5426 {
5427   PetscFunctionBegin;
5428   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5429   PetscValidPointer(steps,2);
5430   *steps = ts->total_steps;
5431   PetscFunctionReturn(0);
5432 }
5433 
5434 #undef __FUNCT__
5435 #define __FUNCT__ "TSGetSNESIterations"
5436 /*@
5437    TSGetSNESIterations - Gets the total number of nonlinear iterations
5438    used by the time integrator.
5439 
5440    Not Collective
5441 
5442    Input Parameter:
5443 .  ts - TS context
5444 
5445    Output Parameter:
5446 .  nits - number of nonlinear iterations
5447 
5448    Notes:
5449    This counter is reset to zero for each successive call to TSSolve().
5450 
5451    Level: intermediate
5452 
5453 .keywords: TS, get, number, nonlinear, iterations
5454 
5455 .seealso:  TSGetKSPIterations()
5456 @*/
5457 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5458 {
5459   PetscFunctionBegin;
5460   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5461   PetscValidIntPointer(nits,2);
5462   *nits = ts->snes_its;
5463   PetscFunctionReturn(0);
5464 }
5465 
5466 #undef __FUNCT__
5467 #define __FUNCT__ "TSGetKSPIterations"
5468 /*@
5469    TSGetKSPIterations - Gets the total number of linear iterations
5470    used by the time integrator.
5471 
5472    Not Collective
5473 
5474    Input Parameter:
5475 .  ts - TS context
5476 
5477    Output Parameter:
5478 .  lits - number of linear iterations
5479 
5480    Notes:
5481    This counter is reset to zero for each successive call to TSSolve().
5482 
5483    Level: intermediate
5484 
5485 .keywords: TS, get, number, linear, iterations
5486 
5487 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5488 @*/
5489 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5490 {
5491   PetscFunctionBegin;
5492   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5493   PetscValidIntPointer(lits,2);
5494   *lits = ts->ksp_its;
5495   PetscFunctionReturn(0);
5496 }
5497 
5498 #undef __FUNCT__
5499 #define __FUNCT__ "TSGetStepRejections"
5500 /*@
5501    TSGetStepRejections - Gets the total number of rejected steps.
5502 
5503    Not Collective
5504 
5505    Input Parameter:
5506 .  ts - TS context
5507 
5508    Output Parameter:
5509 .  rejects - number of steps rejected
5510 
5511    Notes:
5512    This counter is reset to zero for each successive call to TSSolve().
5513 
5514    Level: intermediate
5515 
5516 .keywords: TS, get, number
5517 
5518 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5519 @*/
5520 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5521 {
5522   PetscFunctionBegin;
5523   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5524   PetscValidIntPointer(rejects,2);
5525   *rejects = ts->reject;
5526   PetscFunctionReturn(0);
5527 }
5528 
5529 #undef __FUNCT__
5530 #define __FUNCT__ "TSGetSNESFailures"
5531 /*@
5532    TSGetSNESFailures - Gets the total number of failed SNES solves
5533 
5534    Not Collective
5535 
5536    Input Parameter:
5537 .  ts - TS context
5538 
5539    Output Parameter:
5540 .  fails - number of failed nonlinear solves
5541 
5542    Notes:
5543    This counter is reset to zero for each successive call to TSSolve().
5544 
5545    Level: intermediate
5546 
5547 .keywords: TS, get, number
5548 
5549 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5550 @*/
5551 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5552 {
5553   PetscFunctionBegin;
5554   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5555   PetscValidIntPointer(fails,2);
5556   *fails = ts->num_snes_failures;
5557   PetscFunctionReturn(0);
5558 }
5559 
5560 #undef __FUNCT__
5561 #define __FUNCT__ "TSSetMaxStepRejections"
5562 /*@
5563    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5564 
5565    Not Collective
5566 
5567    Input Parameter:
5568 +  ts - TS context
5569 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5570 
5571    Notes:
5572    The counter is reset to zero for each step
5573 
5574    Options Database Key:
5575  .  -ts_max_reject - Maximum number of step rejections before a step fails
5576 
5577    Level: intermediate
5578 
5579 .keywords: TS, set, maximum, number
5580 
5581 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5582 @*/
5583 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5584 {
5585   PetscFunctionBegin;
5586   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5587   ts->max_reject = rejects;
5588   PetscFunctionReturn(0);
5589 }
5590 
5591 #undef __FUNCT__
5592 #define __FUNCT__ "TSSetMaxSNESFailures"
5593 /*@
5594    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5595 
5596    Not Collective
5597 
5598    Input Parameter:
5599 +  ts - TS context
5600 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5601 
5602    Notes:
5603    The counter is reset to zero for each successive call to TSSolve().
5604 
5605    Options Database Key:
5606  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5607 
5608    Level: intermediate
5609 
5610 .keywords: TS, set, maximum, number
5611 
5612 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5613 @*/
5614 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5615 {
5616   PetscFunctionBegin;
5617   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5618   ts->max_snes_failures = fails;
5619   PetscFunctionReturn(0);
5620 }
5621 
5622 #undef __FUNCT__
5623 #define __FUNCT__ "TSSetErrorIfStepFails"
5624 /*@
5625    TSSetErrorIfStepFails - Error if no step succeeds
5626 
5627    Not Collective
5628 
5629    Input Parameter:
5630 +  ts - TS context
5631 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5632 
5633    Options Database Key:
5634  .  -ts_error_if_step_fails - Error if no step succeeds
5635 
5636    Level: intermediate
5637 
5638 .keywords: TS, set, error
5639 
5640 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5641 @*/
5642 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5643 {
5644   PetscFunctionBegin;
5645   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5646   ts->errorifstepfailed = err;
5647   PetscFunctionReturn(0);
5648 }
5649 
5650 #undef __FUNCT__
5651 #define __FUNCT__ "TSMonitorSolution"
5652 /*@C
5653    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
5654 
5655    Collective on TS
5656 
5657    Input Parameters:
5658 +  ts - the TS context
5659 .  step - current time-step
5660 .  ptime - current time
5661 .  u - current state
5662 -  vf - viewer and its format
5663 
5664    Level: intermediate
5665 
5666 .keywords: TS,  vector, monitor, view
5667 
5668 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5669 @*/
5670 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5671 {
5672   PetscErrorCode ierr;
5673 
5674   PetscFunctionBegin;
5675   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5676   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5677   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5678   PetscFunctionReturn(0);
5679 }
5680 
5681 #undef __FUNCT__
5682 #define __FUNCT__ "TSMonitorSolutionVTK"
5683 /*@C
5684    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5685 
5686    Collective on TS
5687 
5688    Input Parameters:
5689 +  ts - the TS context
5690 .  step - current time-step
5691 .  ptime - current time
5692 .  u - current state
5693 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5694 
5695    Level: intermediate
5696 
5697    Notes:
5698    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.
5699    These are named according to the file name template.
5700 
5701    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5702 
5703 .keywords: TS,  vector, monitor, view
5704 
5705 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5706 @*/
5707 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5708 {
5709   PetscErrorCode ierr;
5710   char           filename[PETSC_MAX_PATH_LEN];
5711   PetscViewer    viewer;
5712 
5713   PetscFunctionBegin;
5714   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5715   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5716   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5717   ierr = VecView(u,viewer);CHKERRQ(ierr);
5718   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5719   PetscFunctionReturn(0);
5720 }
5721 
5722 #undef __FUNCT__
5723 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5724 /*@C
5725    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5726 
5727    Collective on TS
5728 
5729    Input Parameters:
5730 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5731 
5732    Level: intermediate
5733 
5734    Note:
5735    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5736 
5737 .keywords: TS,  vector, monitor, view
5738 
5739 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5740 @*/
5741 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5742 {
5743   PetscErrorCode ierr;
5744 
5745   PetscFunctionBegin;
5746   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5747   PetscFunctionReturn(0);
5748 }
5749 
5750 #undef __FUNCT__
5751 #define __FUNCT__ "TSGetAdapt"
5752 /*@
5753    TSGetAdapt - Get the adaptive controller context for the current method
5754 
5755    Collective on TS if controller has not been created yet
5756 
5757    Input Arguments:
5758 .  ts - time stepping context
5759 
5760    Output Arguments:
5761 .  adapt - adaptive controller
5762 
5763    Level: intermediate
5764 
5765 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5766 @*/
5767 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5768 {
5769   PetscErrorCode ierr;
5770 
5771   PetscFunctionBegin;
5772   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5773   PetscValidPointer(adapt,2);
5774   if (!ts->adapt) {
5775     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5776     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5777     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5778   }
5779   *adapt = ts->adapt;
5780   PetscFunctionReturn(0);
5781 }
5782 
5783 #undef __FUNCT__
5784 #define __FUNCT__ "TSSetTolerances"
5785 /*@
5786    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5787 
5788    Logically Collective
5789 
5790    Input Arguments:
5791 +  ts - time integration context
5792 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5793 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5794 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5795 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5796 
5797    Options Database keys:
5798 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5799 -  -ts_atol <atol> Absolute tolerance for local truncation error
5800 
5801    Notes:
5802    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5803    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5804    computed only for the differential or the algebraic part then this can be done using the vector of
5805    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5806    differential part and infinity for the algebraic part, the LTE calculation will include only the
5807    differential variables.
5808 
5809    Level: beginner
5810 
5811 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5812 @*/
5813 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5814 {
5815   PetscErrorCode ierr;
5816 
5817   PetscFunctionBegin;
5818   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5819   if (vatol) {
5820     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5821     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5822     ts->vatol = vatol;
5823   }
5824   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5825   if (vrtol) {
5826     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5827     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5828     ts->vrtol = vrtol;
5829   }
5830   PetscFunctionReturn(0);
5831 }
5832 
5833 #undef __FUNCT__
5834 #define __FUNCT__ "TSGetTolerances"
5835 /*@
5836    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5837 
5838    Logically Collective
5839 
5840    Input Arguments:
5841 .  ts - time integration context
5842 
5843    Output Arguments:
5844 +  atol - scalar absolute tolerances, NULL to ignore
5845 .  vatol - vector of absolute tolerances, NULL to ignore
5846 .  rtol - scalar relative tolerances, NULL to ignore
5847 -  vrtol - vector of relative tolerances, NULL to ignore
5848 
5849    Level: beginner
5850 
5851 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5852 @*/
5853 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5854 {
5855   PetscFunctionBegin;
5856   if (atol)  *atol  = ts->atol;
5857   if (vatol) *vatol = ts->vatol;
5858   if (rtol)  *rtol  = ts->rtol;
5859   if (vrtol) *vrtol = ts->vrtol;
5860   PetscFunctionReturn(0);
5861 }
5862 
5863 #undef __FUNCT__
5864 #define __FUNCT__ "TSErrorWeightedNorm2"
5865 /*@
5866    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5867 
5868    Collective on TS
5869 
5870    Input Arguments:
5871 +  ts - time stepping context
5872 .  U - state vector, usually ts->vec_sol
5873 -  Y - state vector to be compared to U
5874 
5875    Output Arguments:
5876 .  norm - weighted norm, a value of 1.0 is considered small
5877 
5878    Level: developer
5879 
5880 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5881 @*/
5882 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5883 {
5884   PetscErrorCode    ierr;
5885   PetscInt          i,n,N,rstart;
5886   const PetscScalar *u,*y;
5887   PetscReal         sum,gsum;
5888   PetscReal         tol;
5889 
5890   PetscFunctionBegin;
5891   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5892   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5893   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5894   PetscValidType(U,2);
5895   PetscValidType(Y,3);
5896   PetscCheckSameComm(U,2,Y,3);
5897   PetscValidPointer(norm,4);
5898   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5899 
5900   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5901   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5902   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5903   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5904   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5905   sum  = 0.;
5906   if (ts->vatol && ts->vrtol) {
5907     const PetscScalar *atol,*rtol;
5908     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5909     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5910     for (i=0; i<n; i++) {
5911       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5912       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5913     }
5914     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5915     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5916   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5917     const PetscScalar *atol;
5918     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5919     for (i=0; i<n; i++) {
5920       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5921       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5922     }
5923     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5924   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5925     const PetscScalar *rtol;
5926     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5927     for (i=0; i<n; i++) {
5928       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5929       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5930     }
5931     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5932   } else {                      /* scalar atol, scalar rtol */
5933     for (i=0; i<n; i++) {
5934       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5935       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5936     }
5937   }
5938   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5939   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5940 
5941   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5942   *norm = PetscSqrtReal(gsum / N);
5943 
5944   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5945   PetscFunctionReturn(0);
5946 }
5947 
5948 #undef __FUNCT__
5949 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5950 /*@
5951    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5952 
5953    Collective on TS
5954 
5955    Input Arguments:
5956 +  ts - time stepping context
5957 .  U - state vector, usually ts->vec_sol
5958 -  Y - state vector to be compared to U
5959 
5960    Output Arguments:
5961 .  norm - weighted norm, a value of 1.0 is considered small
5962 
5963    Level: developer
5964 
5965 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5966 @*/
5967 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5968 {
5969   PetscErrorCode    ierr;
5970   PetscInt          i,n,N,rstart,k;
5971   const PetscScalar *u,*y;
5972   PetscReal         max,gmax;
5973   PetscReal         tol;
5974 
5975   PetscFunctionBegin;
5976   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5977   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5978   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5979   PetscValidType(U,2);
5980   PetscValidType(Y,3);
5981   PetscCheckSameComm(U,2,Y,3);
5982   PetscValidPointer(norm,4);
5983   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5984 
5985   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5986   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5987   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5988   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5989   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5990   if (ts->vatol && ts->vrtol) {
5991     const PetscScalar *atol,*rtol;
5992     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5993     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5994     k = 0;
5995     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5996     max = PetscAbsScalar(y[k] - u[k]) / tol;
5997     for (i=1; i<n; i++) {
5998       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5999       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6000     }
6001     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6002     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6003   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6004     const PetscScalar *atol;
6005     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6006     k = 0;
6007     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6008     max = PetscAbsScalar(y[k] - u[k]) / tol;
6009     for (i=1; i<n; i++) {
6010       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6011       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6012     }
6013     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6014   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6015     const PetscScalar *rtol;
6016     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6017     k = 0;
6018     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6019     max = PetscAbsScalar(y[k] - u[k]) / tol;
6020     for (i=1; i<n; i++) {
6021       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6022       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6023     }
6024     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6025   } else {                      /* scalar atol, scalar rtol */
6026     k = 0;
6027     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
6028     max = PetscAbsScalar(y[k] - u[k]) / tol;
6029     for (i=1; i<n; i++) {
6030       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6031       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
6032     }
6033   }
6034   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6035   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6036 
6037   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6038   *norm = gmax;
6039 
6040   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6041   PetscFunctionReturn(0);
6042 }
6043 
6044 #undef __FUNCT__
6045 #define __FUNCT__ "TSErrorWeightedNorm"
6046 /*@
6047    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6048 
6049    Collective on TS
6050 
6051    Input Arguments:
6052 +  ts - time stepping context
6053 .  U - state vector, usually ts->vec_sol
6054 .  Y - state vector to be compared to U
6055 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6056 
6057    Output Arguments:
6058 .  norm - weighted norm, a value of 1.0 is considered small
6059 
6060 
6061    Options Database Keys:
6062 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6063 
6064    Level: developer
6065 
6066 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6067 @*/
6068 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
6069 {
6070   PetscErrorCode ierr;
6071 
6072   PetscFunctionBegin;
6073   if (wnormtype == NORM_2) {
6074     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
6075   } else if(wnormtype == NORM_INFINITY) {
6076     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
6077   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6078   PetscFunctionReturn(0);
6079 }
6080 
6081 #undef __FUNCT__
6082 #define __FUNCT__ "TSSetCFLTimeLocal"
6083 /*@
6084    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6085 
6086    Logically Collective on TS
6087 
6088    Input Arguments:
6089 +  ts - time stepping context
6090 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6091 
6092    Note:
6093    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6094 
6095    Level: intermediate
6096 
6097 .seealso: TSGetCFLTime(), TSADAPTCFL
6098 @*/
6099 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6100 {
6101   PetscFunctionBegin;
6102   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6103   ts->cfltime_local = cfltime;
6104   ts->cfltime       = -1.;
6105   PetscFunctionReturn(0);
6106 }
6107 
6108 #undef __FUNCT__
6109 #define __FUNCT__ "TSGetCFLTime"
6110 /*@
6111    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6112 
6113    Collective on TS
6114 
6115    Input Arguments:
6116 .  ts - time stepping context
6117 
6118    Output Arguments:
6119 .  cfltime - maximum stable time step for forward Euler
6120 
6121    Level: advanced
6122 
6123 .seealso: TSSetCFLTimeLocal()
6124 @*/
6125 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6126 {
6127   PetscErrorCode ierr;
6128 
6129   PetscFunctionBegin;
6130   if (ts->cfltime < 0) {
6131     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6132   }
6133   *cfltime = ts->cfltime;
6134   PetscFunctionReturn(0);
6135 }
6136 
6137 #undef __FUNCT__
6138 #define __FUNCT__ "TSVISetVariableBounds"
6139 /*@
6140    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6141 
6142    Input Parameters:
6143 .  ts   - the TS context.
6144 .  xl   - lower bound.
6145 .  xu   - upper bound.
6146 
6147    Notes:
6148    If this routine is not called then the lower and upper bounds are set to
6149    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6150 
6151    Level: advanced
6152 
6153 @*/
6154 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6155 {
6156   PetscErrorCode ierr;
6157   SNES           snes;
6158 
6159   PetscFunctionBegin;
6160   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6161   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6162   PetscFunctionReturn(0);
6163 }
6164 
6165 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6166 #include <mex.h>
6167 
6168 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6169 
6170 #undef __FUNCT__
6171 #define __FUNCT__ "TSComputeFunction_Matlab"
6172 /*
6173    TSComputeFunction_Matlab - Calls the function that has been set with
6174                          TSSetFunctionMatlab().
6175 
6176    Collective on TS
6177 
6178    Input Parameters:
6179 +  snes - the TS context
6180 -  u - input vector
6181 
6182    Output Parameter:
6183 .  y - function vector, as set by TSSetFunction()
6184 
6185    Notes:
6186    TSComputeFunction() is typically used within nonlinear solvers
6187    implementations, so most users would not generally call this routine
6188    themselves.
6189 
6190    Level: developer
6191 
6192 .keywords: TS, nonlinear, compute, function
6193 
6194 .seealso: TSSetFunction(), TSGetFunction()
6195 */
6196 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6197 {
6198   PetscErrorCode  ierr;
6199   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6200   int             nlhs  = 1,nrhs = 7;
6201   mxArray         *plhs[1],*prhs[7];
6202   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6203 
6204   PetscFunctionBegin;
6205   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6206   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6207   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6208   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6209   PetscCheckSameComm(snes,1,u,3);
6210   PetscCheckSameComm(snes,1,y,5);
6211 
6212   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6213   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6214   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6215   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6216 
6217   prhs[0] =  mxCreateDoubleScalar((double)ls);
6218   prhs[1] =  mxCreateDoubleScalar(time);
6219   prhs[2] =  mxCreateDoubleScalar((double)lx);
6220   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6221   prhs[4] =  mxCreateDoubleScalar((double)ly);
6222   prhs[5] =  mxCreateString(sctx->funcname);
6223   prhs[6] =  sctx->ctx;
6224   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6225   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6226   mxDestroyArray(prhs[0]);
6227   mxDestroyArray(prhs[1]);
6228   mxDestroyArray(prhs[2]);
6229   mxDestroyArray(prhs[3]);
6230   mxDestroyArray(prhs[4]);
6231   mxDestroyArray(prhs[5]);
6232   mxDestroyArray(plhs[0]);
6233   PetscFunctionReturn(0);
6234 }
6235 
6236 
6237 #undef __FUNCT__
6238 #define __FUNCT__ "TSSetFunctionMatlab"
6239 /*
6240    TSSetFunctionMatlab - Sets the function evaluation routine and function
6241    vector for use by the TS routines in solving ODEs
6242    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6243 
6244    Logically Collective on TS
6245 
6246    Input Parameters:
6247 +  ts - the TS context
6248 -  func - function evaluation routine
6249 
6250    Calling sequence of func:
6251 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6252 
6253    Level: beginner
6254 
6255 .keywords: TS, nonlinear, set, function
6256 
6257 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6258 */
6259 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6260 {
6261   PetscErrorCode  ierr;
6262   TSMatlabContext *sctx;
6263 
6264   PetscFunctionBegin;
6265   /* currently sctx is memory bleed */
6266   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6267   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6268   /*
6269      This should work, but it doesn't
6270   sctx->ctx = ctx;
6271   mexMakeArrayPersistent(sctx->ctx);
6272   */
6273   sctx->ctx = mxDuplicateArray(ctx);
6274 
6275   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6276   PetscFunctionReturn(0);
6277 }
6278 
6279 #undef __FUNCT__
6280 #define __FUNCT__ "TSComputeJacobian_Matlab"
6281 /*
6282    TSComputeJacobian_Matlab - Calls the function that has been set with
6283                          TSSetJacobianMatlab().
6284 
6285    Collective on TS
6286 
6287    Input Parameters:
6288 +  ts - the TS context
6289 .  u - input vector
6290 .  A, B - the matrices
6291 -  ctx - user context
6292 
6293    Level: developer
6294 
6295 .keywords: TS, nonlinear, compute, function
6296 
6297 .seealso: TSSetFunction(), TSGetFunction()
6298 @*/
6299 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6300 {
6301   PetscErrorCode  ierr;
6302   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6303   int             nlhs  = 2,nrhs = 9;
6304   mxArray         *plhs[2],*prhs[9];
6305   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6306 
6307   PetscFunctionBegin;
6308   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6309   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6310 
6311   /* call Matlab function in ctx with arguments u and y */
6312 
6313   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6314   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6315   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6316   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6317   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6318 
6319   prhs[0] =  mxCreateDoubleScalar((double)ls);
6320   prhs[1] =  mxCreateDoubleScalar((double)time);
6321   prhs[2] =  mxCreateDoubleScalar((double)lx);
6322   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6323   prhs[4] =  mxCreateDoubleScalar((double)shift);
6324   prhs[5] =  mxCreateDoubleScalar((double)lA);
6325   prhs[6] =  mxCreateDoubleScalar((double)lB);
6326   prhs[7] =  mxCreateString(sctx->funcname);
6327   prhs[8] =  sctx->ctx;
6328   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6329   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6330   mxDestroyArray(prhs[0]);
6331   mxDestroyArray(prhs[1]);
6332   mxDestroyArray(prhs[2]);
6333   mxDestroyArray(prhs[3]);
6334   mxDestroyArray(prhs[4]);
6335   mxDestroyArray(prhs[5]);
6336   mxDestroyArray(prhs[6]);
6337   mxDestroyArray(prhs[7]);
6338   mxDestroyArray(plhs[0]);
6339   mxDestroyArray(plhs[1]);
6340   PetscFunctionReturn(0);
6341 }
6342 
6343 
6344 #undef __FUNCT__
6345 #define __FUNCT__ "TSSetJacobianMatlab"
6346 /*
6347    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6348    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
6349 
6350    Logically Collective on TS
6351 
6352    Input Parameters:
6353 +  ts - the TS context
6354 .  A,B - Jacobian matrices
6355 .  func - function evaluation routine
6356 -  ctx - user context
6357 
6358    Calling sequence of func:
6359 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6360 
6361 
6362    Level: developer
6363 
6364 .keywords: TS, nonlinear, set, function
6365 
6366 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6367 */
6368 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6369 {
6370   PetscErrorCode  ierr;
6371   TSMatlabContext *sctx;
6372 
6373   PetscFunctionBegin;
6374   /* currently sctx is memory bleed */
6375   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6376   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6377   /*
6378      This should work, but it doesn't
6379   sctx->ctx = ctx;
6380   mexMakeArrayPersistent(sctx->ctx);
6381   */
6382   sctx->ctx = mxDuplicateArray(ctx);
6383 
6384   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6385   PetscFunctionReturn(0);
6386 }
6387 
6388 #undef __FUNCT__
6389 #define __FUNCT__ "TSMonitor_Matlab"
6390 /*
6391    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6392 
6393    Collective on TS
6394 
6395 .seealso: TSSetFunction(), TSGetFunction()
6396 @*/
6397 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6398 {
6399   PetscErrorCode  ierr;
6400   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6401   int             nlhs  = 1,nrhs = 6;
6402   mxArray         *plhs[1],*prhs[6];
6403   long long int   lx = 0,ls = 0;
6404 
6405   PetscFunctionBegin;
6406   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6407   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6408 
6409   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6410   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6411 
6412   prhs[0] =  mxCreateDoubleScalar((double)ls);
6413   prhs[1] =  mxCreateDoubleScalar((double)it);
6414   prhs[2] =  mxCreateDoubleScalar((double)time);
6415   prhs[3] =  mxCreateDoubleScalar((double)lx);
6416   prhs[4] =  mxCreateString(sctx->funcname);
6417   prhs[5] =  sctx->ctx;
6418   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6419   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6420   mxDestroyArray(prhs[0]);
6421   mxDestroyArray(prhs[1]);
6422   mxDestroyArray(prhs[2]);
6423   mxDestroyArray(prhs[3]);
6424   mxDestroyArray(prhs[4]);
6425   mxDestroyArray(plhs[0]);
6426   PetscFunctionReturn(0);
6427 }
6428 
6429 
6430 #undef __FUNCT__
6431 #define __FUNCT__ "TSMonitorSetMatlab"
6432 /*
6433    TSMonitorSetMatlab - Sets the monitor function from Matlab
6434 
6435    Level: developer
6436 
6437 .keywords: TS, nonlinear, set, function
6438 
6439 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6440 */
6441 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6442 {
6443   PetscErrorCode  ierr;
6444   TSMatlabContext *sctx;
6445 
6446   PetscFunctionBegin;
6447   /* currently sctx is memory bleed */
6448   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6449   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6450   /*
6451      This should work, but it doesn't
6452   sctx->ctx = ctx;
6453   mexMakeArrayPersistent(sctx->ctx);
6454   */
6455   sctx->ctx = mxDuplicateArray(ctx);
6456 
6457   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6458   PetscFunctionReturn(0);
6459 }
6460 #endif
6461 
6462 #undef __FUNCT__
6463 #define __FUNCT__ "TSMonitorLGSolution"
6464 /*@C
6465    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6466        in a time based line graph
6467 
6468    Collective on TS
6469 
6470    Input Parameters:
6471 +  ts - the TS context
6472 .  step - current time-step
6473 .  ptime - current time
6474 .  u - current solution
6475 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6476 
6477    Options Database:
6478 .   -ts_monitor_lg_solution_variables
6479 
6480    Level: intermediate
6481 
6482    Notes: Each process in a parallel run displays its component solutions in a separate window
6483 
6484 .keywords: TS,  vector, monitor, view
6485 
6486 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6487            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6488            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6489            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6490 @*/
6491 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6492 {
6493   PetscErrorCode    ierr;
6494   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6495   const PetscScalar *yy;
6496   Vec               v;
6497 
6498   PetscFunctionBegin;
6499   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6500   if (!step) {
6501     PetscDrawAxis axis;
6502     PetscInt      dim;
6503     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6504     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6505     if (!ctx->names) {
6506       PetscBool flg;
6507       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6508       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6509       if (flg) {
6510         PetscInt i,n;
6511         char     **names;
6512         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6513         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6514         for (i=0; i<n; i++) {
6515           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6516           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6517         }
6518         names[n] = NULL;
6519         ctx->names = names;
6520       }
6521     }
6522     if (ctx->names && !ctx->displaynames) {
6523       char      **displaynames;
6524       PetscBool flg;
6525       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6526       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6527       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6528       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6529       if (flg) {
6530         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6531       }
6532       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6533     }
6534     if (ctx->displaynames) {
6535       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6536       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6537     } else if (ctx->names) {
6538       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6539       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6540       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6541     } else {
6542       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6543       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6544     }
6545     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6546   }
6547 
6548   if (!ctx->transform) v = u;
6549   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6550   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6551   if (ctx->displaynames) {
6552     PetscInt i;
6553     for (i=0; i<ctx->ndisplayvariables; i++)
6554       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6555     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6556   } else {
6557 #if defined(PETSC_USE_COMPLEX)
6558     PetscInt  i,n;
6559     PetscReal *yreal;
6560     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6561     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6562     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6563     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6564     ierr = PetscFree(yreal);CHKERRQ(ierr);
6565 #else
6566     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6567 #endif
6568   }
6569   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6570   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6571 
6572   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6573     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6574     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6575   }
6576   PetscFunctionReturn(0);
6577 }
6578 
6579 
6580 #undef __FUNCT__
6581 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6582 /*@C
6583    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6584 
6585    Collective on TS
6586 
6587    Input Parameters:
6588 +  ts - the TS context
6589 -  names - the names of the components, final string must be NULL
6590 
6591    Level: intermediate
6592 
6593    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6594 
6595 .keywords: TS,  vector, monitor, view
6596 
6597 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6598 @*/
6599 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6600 {
6601   PetscErrorCode    ierr;
6602   PetscInt          i;
6603 
6604   PetscFunctionBegin;
6605   for (i=0; i<ts->numbermonitors; i++) {
6606     if (ts->monitor[i] == TSMonitorLGSolution) {
6607       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6608       break;
6609     }
6610   }
6611   PetscFunctionReturn(0);
6612 }
6613 
6614 #undef __FUNCT__
6615 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6616 /*@C
6617    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6618 
6619    Collective on TS
6620 
6621    Input Parameters:
6622 +  ts - the TS context
6623 -  names - the names of the components, final string must be NULL
6624 
6625    Level: intermediate
6626 
6627 .keywords: TS,  vector, monitor, view
6628 
6629 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6630 @*/
6631 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6632 {
6633   PetscErrorCode    ierr;
6634 
6635   PetscFunctionBegin;
6636   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6637   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6638   PetscFunctionReturn(0);
6639 }
6640 
6641 #undef __FUNCT__
6642 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6643 /*@C
6644    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6645 
6646    Collective on TS
6647 
6648    Input Parameter:
6649 .  ts - the TS context
6650 
6651    Output Parameter:
6652 .  names - the names of the components, final string must be NULL
6653 
6654    Level: intermediate
6655 
6656    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6657 
6658 .keywords: TS,  vector, monitor, view
6659 
6660 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6661 @*/
6662 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6663 {
6664   PetscInt       i;
6665 
6666   PetscFunctionBegin;
6667   *names = NULL;
6668   for (i=0; i<ts->numbermonitors; i++) {
6669     if (ts->monitor[i] == TSMonitorLGSolution) {
6670       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6671       *names = (const char *const *)ctx->names;
6672       break;
6673     }
6674   }
6675   PetscFunctionReturn(0);
6676 }
6677 
6678 #undef __FUNCT__
6679 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6680 /*@C
6681    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6682 
6683    Collective on TS
6684 
6685    Input Parameters:
6686 +  ctx - the TSMonitorLG context
6687 .  displaynames - the names of the components, final string must be NULL
6688 
6689    Level: intermediate
6690 
6691 .keywords: TS,  vector, monitor, view
6692 
6693 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6694 @*/
6695 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6696 {
6697   PetscInt          j = 0,k;
6698   PetscErrorCode    ierr;
6699 
6700   PetscFunctionBegin;
6701   if (!ctx->names) PetscFunctionReturn(0);
6702   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6703   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6704   while (displaynames[j]) j++;
6705   ctx->ndisplayvariables = j;
6706   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6707   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6708   j = 0;
6709   while (displaynames[j]) {
6710     k = 0;
6711     while (ctx->names[k]) {
6712       PetscBool flg;
6713       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6714       if (flg) {
6715         ctx->displayvariables[j] = k;
6716         break;
6717       }
6718       k++;
6719     }
6720     j++;
6721   }
6722   PetscFunctionReturn(0);
6723 }
6724 
6725 
6726 #undef __FUNCT__
6727 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6728 /*@C
6729    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6730 
6731    Collective on TS
6732 
6733    Input Parameters:
6734 +  ts - the TS context
6735 .  displaynames - the names of the components, final string must be NULL
6736 
6737    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6738 
6739    Level: intermediate
6740 
6741 .keywords: TS,  vector, monitor, view
6742 
6743 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6744 @*/
6745 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6746 {
6747   PetscInt          i;
6748   PetscErrorCode    ierr;
6749 
6750   PetscFunctionBegin;
6751   for (i=0; i<ts->numbermonitors; i++) {
6752     if (ts->monitor[i] == TSMonitorLGSolution) {
6753       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6754       break;
6755     }
6756   }
6757   PetscFunctionReturn(0);
6758 }
6759 
6760 #undef __FUNCT__
6761 #define __FUNCT__ "TSMonitorLGSetTransform"
6762 /*@C
6763    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6764 
6765    Collective on TS
6766 
6767    Input Parameters:
6768 +  ts - the TS context
6769 .  transform - the transform function
6770 .  destroy - function to destroy the optional context
6771 -  ctx - optional context used by transform function
6772 
6773    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6774 
6775    Level: intermediate
6776 
6777 .keywords: TS,  vector, monitor, view
6778 
6779 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6780 @*/
6781 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6782 {
6783   PetscInt          i;
6784   PetscErrorCode    ierr;
6785 
6786   PetscFunctionBegin;
6787   for (i=0; i<ts->numbermonitors; i++) {
6788     if (ts->monitor[i] == TSMonitorLGSolution) {
6789       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6790     }
6791   }
6792   PetscFunctionReturn(0);
6793 }
6794 
6795 #undef __FUNCT__
6796 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6797 /*@C
6798    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6799 
6800    Collective on TSLGCtx
6801 
6802    Input Parameters:
6803 +  ts - the TS context
6804 .  transform - the transform function
6805 .  destroy - function to destroy the optional context
6806 -  ctx - optional context used by transform function
6807 
6808    Level: intermediate
6809 
6810 .keywords: TS,  vector, monitor, view
6811 
6812 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6813 @*/
6814 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6815 {
6816   PetscFunctionBegin;
6817   ctx->transform    = transform;
6818   ctx->transformdestroy = destroy;
6819   ctx->transformctx = tctx;
6820   PetscFunctionReturn(0);
6821 }
6822 
6823 #undef __FUNCT__
6824 #define __FUNCT__ "TSMonitorLGError"
6825 /*@C
6826    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6827        in a time based line graph
6828 
6829    Collective on TS
6830 
6831    Input Parameters:
6832 +  ts - the TS context
6833 .  step - current time-step
6834 .  ptime - current time
6835 .  u - current solution
6836 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6837 
6838    Level: intermediate
6839 
6840    Notes: Each process in a parallel run displays its component errors in a separate window
6841 
6842    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6843 
6844    Options Database Keys:
6845 .  -ts_monitor_lg_error - create a graphical monitor of error history
6846 
6847 .keywords: TS,  vector, monitor, view
6848 
6849 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6850 @*/
6851 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6852 {
6853   PetscErrorCode    ierr;
6854   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6855   const PetscScalar *yy;
6856   Vec               y;
6857 
6858   PetscFunctionBegin;
6859   if (!step) {
6860     PetscDrawAxis axis;
6861     PetscInt      dim;
6862     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6863     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6864     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6865     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6866     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6867   }
6868   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6869   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6870   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6871   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6872 #if defined(PETSC_USE_COMPLEX)
6873   {
6874     PetscReal *yreal;
6875     PetscInt  i,n;
6876     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6877     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6878     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6879     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6880     ierr = PetscFree(yreal);CHKERRQ(ierr);
6881   }
6882 #else
6883   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6884 #endif
6885   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6886   ierr = VecDestroy(&y);CHKERRQ(ierr);
6887   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6888     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6889     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6890   }
6891   PetscFunctionReturn(0);
6892 }
6893 
6894 #undef __FUNCT__
6895 #define __FUNCT__ "TSMonitorLGSNESIterations"
6896 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6897 {
6898   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6899   PetscReal      x   = ptime,y;
6900   PetscErrorCode ierr;
6901   PetscInt       its;
6902 
6903   PetscFunctionBegin;
6904   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6905   if (!n) {
6906     PetscDrawAxis axis;
6907     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6908     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6909     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6910     ctx->snes_its = 0;
6911   }
6912   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6913   y    = its - ctx->snes_its;
6914   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6915   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6916     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6917     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6918   }
6919   ctx->snes_its = its;
6920   PetscFunctionReturn(0);
6921 }
6922 
6923 #undef __FUNCT__
6924 #define __FUNCT__ "TSMonitorLGKSPIterations"
6925 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6926 {
6927   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6928   PetscReal      x   = ptime,y;
6929   PetscErrorCode ierr;
6930   PetscInt       its;
6931 
6932   PetscFunctionBegin;
6933   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6934   if (!n) {
6935     PetscDrawAxis axis;
6936     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6937     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6938     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6939     ctx->ksp_its = 0;
6940   }
6941   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6942   y    = its - ctx->ksp_its;
6943   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6944   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6945     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6946     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6947   }
6948   ctx->ksp_its = its;
6949   PetscFunctionReturn(0);
6950 }
6951 
6952 #undef __FUNCT__
6953 #define __FUNCT__ "TSComputeLinearStability"
6954 /*@
6955    TSComputeLinearStability - computes the linear stability function at a point
6956 
6957    Collective on TS and Vec
6958 
6959    Input Parameters:
6960 +  ts - the TS context
6961 -  xr,xi - real and imaginary part of input arguments
6962 
6963    Output Parameters:
6964 .  yr,yi - real and imaginary part of function value
6965 
6966    Level: developer
6967 
6968 .keywords: TS, compute
6969 
6970 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6971 @*/
6972 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6973 {
6974   PetscErrorCode ierr;
6975 
6976   PetscFunctionBegin;
6977   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6978   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6979   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6980   PetscFunctionReturn(0);
6981 }
6982 
6983 /* ------------------------------------------------------------------------*/
6984 #undef __FUNCT__
6985 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6986 /*@C
6987    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6988 
6989    Collective on TS
6990 
6991    Input Parameters:
6992 .  ts  - the ODE solver object
6993 
6994    Output Parameter:
6995 .  ctx - the context
6996 
6997    Level: intermediate
6998 
6999 .keywords: TS, monitor, line graph, residual, seealso
7000 
7001 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7002 
7003 @*/
7004 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7005 {
7006   PetscErrorCode ierr;
7007 
7008   PetscFunctionBegin;
7009   ierr = PetscNew(ctx);CHKERRQ(ierr);
7010   PetscFunctionReturn(0);
7011 }
7012 
7013 #undef __FUNCT__
7014 #define __FUNCT__ "TSMonitorEnvelope"
7015 /*@C
7016    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7017 
7018    Collective on TS
7019 
7020    Input Parameters:
7021 +  ts - the TS context
7022 .  step - current time-step
7023 .  ptime - current time
7024 .  u  - current solution
7025 -  dctx - the envelope context
7026 
7027    Options Database:
7028 .  -ts_monitor_envelope
7029 
7030    Level: intermediate
7031 
7032    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7033 
7034 .keywords: TS,  vector, monitor, view
7035 
7036 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7037 @*/
7038 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7039 {
7040   PetscErrorCode       ierr;
7041   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7042 
7043   PetscFunctionBegin;
7044   if (!ctx->max) {
7045     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7046     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7047     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7048     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7049   } else {
7050     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7051     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7052   }
7053   PetscFunctionReturn(0);
7054 }
7055 
7056 
7057 #undef __FUNCT__
7058 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7059 /*@C
7060    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7061 
7062    Collective on TS
7063 
7064    Input Parameter:
7065 .  ts - the TS context
7066 
7067    Output Parameter:
7068 +  max - the maximum values
7069 -  min - the minimum values
7070 
7071    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7072 
7073    Level: intermediate
7074 
7075 .keywords: TS,  vector, monitor, view
7076 
7077 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7078 @*/
7079 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7080 {
7081   PetscInt i;
7082 
7083   PetscFunctionBegin;
7084   if (max) *max = NULL;
7085   if (min) *min = NULL;
7086   for (i=0; i<ts->numbermonitors; i++) {
7087     if (ts->monitor[i] == TSMonitorEnvelope) {
7088       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7089       if (max) *max = ctx->max;
7090       if (min) *min = ctx->min;
7091       break;
7092     }
7093   }
7094   PetscFunctionReturn(0);
7095 }
7096 
7097 #undef __FUNCT__
7098 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7099 /*@C
7100    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7101 
7102    Collective on TSMonitorEnvelopeCtx
7103 
7104    Input Parameter:
7105 .  ctx - the monitor context
7106 
7107    Level: intermediate
7108 
7109 .keywords: TS, monitor, line graph, destroy
7110 
7111 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7112 @*/
7113 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7114 {
7115   PetscErrorCode ierr;
7116 
7117   PetscFunctionBegin;
7118   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7119   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7120   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7121   PetscFunctionReturn(0);
7122 }
7123 
7124 #undef __FUNCT__
7125 #define __FUNCT__ "TSRollBack"
7126 /*@
7127    TSRollBack - Rolls back one time step
7128 
7129    Collective on TS
7130 
7131    Input Parameter:
7132 .  ts - the TS context obtained from TSCreate()
7133 
7134    Level: advanced
7135 
7136 .keywords: TS, timestep, rollback
7137 
7138 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7139 @*/
7140 PetscErrorCode  TSRollBack(TS ts)
7141 {
7142   PetscErrorCode ierr;
7143 
7144   PetscFunctionBegin;
7145   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7146   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7147   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7148   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7149   ts->time_step = ts->ptime - ts->ptime_prev;
7150   ts->ptime = ts->ptime_prev;
7151   ts->ptime_prev = ts->ptime_prev_rollback;
7152   ts->steps--; ts->total_steps--;
7153   ts->steprollback = PETSC_TRUE;
7154   PetscFunctionReturn(0);
7155 }
7156 
7157 #undef __FUNCT__
7158 #define __FUNCT__ "TSGetStages"
7159 /*@
7160    TSGetStages - Get the number of stages and stage values
7161 
7162    Input Parameter:
7163 .  ts - the TS context obtained from TSCreate()
7164 
7165    Level: advanced
7166 
7167 .keywords: TS, getstages
7168 
7169 .seealso: TSCreate()
7170 @*/
7171 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7172 {
7173   PetscErrorCode ierr;
7174 
7175   PetscFunctionBegin;
7176   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7177   PetscValidPointer(ns,2);
7178 
7179   if (!ts->ops->getstages) *ns=0;
7180   else {
7181     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7182   }
7183   PetscFunctionReturn(0);
7184 }
7185 
7186 #undef __FUNCT__
7187 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7188 /*@C
7189   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7190 
7191   Collective on SNES
7192 
7193   Input Parameters:
7194 + ts - the TS context
7195 . t - current timestep
7196 . U - state vector
7197 . Udot - time derivative of state vector
7198 . shift - shift to apply, see note below
7199 - ctx - an optional user context
7200 
7201   Output Parameters:
7202 + J - Jacobian matrix (not altered in this routine)
7203 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7204 
7205   Level: intermediate
7206 
7207   Notes:
7208   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7209 
7210   dF/dU + shift*dF/dUdot
7211 
7212   Most users should not need to explicitly call this routine, as it
7213   is used internally within the nonlinear solvers.
7214 
7215   This will first try to get the coloring from the DM.  If the DM type has no coloring
7216   routine, then it will try to get the coloring from the matrix.  This requires that the
7217   matrix have nonzero entries precomputed.
7218 
7219 .keywords: TS, finite differences, Jacobian, coloring, sparse
7220 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7221 @*/
7222 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7223 {
7224   SNES           snes;
7225   MatFDColoring  color;
7226   PetscBool      hascolor, matcolor = PETSC_FALSE;
7227   PetscErrorCode ierr;
7228 
7229   PetscFunctionBegin;
7230   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7231   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7232   if (!color) {
7233     DM         dm;
7234     ISColoring iscoloring;
7235 
7236     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7237     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7238     if (hascolor && !matcolor) {
7239       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7240       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7241       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7242       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7243       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7244       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7245     } else {
7246       MatColoring mc;
7247 
7248       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7249       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7250       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7251       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7252       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7253       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7254       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7255       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7256       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7257       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7258       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7259     }
7260     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7261     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7262   }
7263   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7264   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7265   if (J != B) {
7266     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7267     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7268   }
7269   PetscFunctionReturn(0);
7270 }
7271 
7272 #undef __FUNCT__
7273 #define __FUNCT__ "TSSetFunctionDomainError"
7274 /*@
7275     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7276 
7277     Input Parameters:
7278     ts - the TS context
7279     func - function called within TSFunctionDomainError
7280 
7281     Level: intermediate
7282 
7283 .keywords: TS, state, domain
7284 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7285 @*/
7286 
7287 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7288 {
7289   PetscFunctionBegin;
7290   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7291   ts->functiondomainerror = func;
7292   PetscFunctionReturn(0);
7293 }
7294 
7295 #undef __FUNCT__
7296 #define __FUNCT__ "TSFunctionDomainError"
7297 /*@
7298     TSFunctionDomainError - Check if the current state is valid
7299 
7300     Input Parameters:
7301     ts - the TS context
7302     stagetime - time of the simulation
7303     Y - state vector to check.
7304 
7305     Output Parameter:
7306     accept - Set to PETSC_FALSE if the current state vector is valid.
7307 
7308     Note:
7309     This function should be used to ensure the state is in a valid part of the space.
7310     For example, one can ensure here all values are positive.
7311 
7312     Level: advanced
7313 @*/
7314 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7315 {
7316   PetscErrorCode ierr;
7317 
7318   PetscFunctionBegin;
7319 
7320   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7321   *accept = PETSC_TRUE;
7322   if (ts->functiondomainerror) {
7323     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7324   }
7325   PetscFunctionReturn(0);
7326 }
7327 
7328 #undef  __FUNCT__
7329 #define __FUNCT__ "TSClone"
7330 /*@C
7331   TSClone - This function clones a time step object.
7332 
7333   Collective on MPI_Comm
7334 
7335   Input Parameter:
7336 . tsin    - The input TS
7337 
7338   Output Parameter:
7339 . tsout   - The output TS (cloned)
7340 
7341   Notes:
7342   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.
7343 
7344   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);
7345 
7346   Level: developer
7347 
7348 .keywords: TS, clone
7349 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7350 @*/
7351 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7352 {
7353   TS             t;
7354   PetscErrorCode ierr;
7355   SNES           snes_start;
7356   DM             dm;
7357   TSType         type;
7358 
7359   PetscFunctionBegin;
7360   PetscValidPointer(tsin,1);
7361   *tsout = NULL;
7362 
7363   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7364 
7365   /* General TS description */
7366   t->numbermonitors    = 0;
7367   t->setupcalled       = 0;
7368   t->ksp_its           = 0;
7369   t->snes_its          = 0;
7370   t->nwork             = 0;
7371   t->rhsjacobian.time  = -1e20;
7372   t->rhsjacobian.scale = 1.;
7373   t->ijacobian.shift   = 1.;
7374 
7375   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7376   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7377 
7378   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7379   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7380 
7381   t->adapt = tsin->adapt;
7382   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7383 
7384   t->problem_type      = tsin->problem_type;
7385   t->ptime             = tsin->ptime;
7386   t->time_step         = tsin->time_step;
7387   t->max_time          = tsin->max_time;
7388   t->steps             = tsin->steps;
7389   t->max_steps         = tsin->max_steps;
7390   t->equation_type     = tsin->equation_type;
7391   t->atol              = tsin->atol;
7392   t->rtol              = tsin->rtol;
7393   t->max_snes_failures = tsin->max_snes_failures;
7394   t->max_reject        = tsin->max_reject;
7395   t->errorifstepfailed = tsin->errorifstepfailed;
7396 
7397   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7398   ierr = TSSetType(t,type);CHKERRQ(ierr);
7399 
7400   t->vec_sol           = NULL;
7401 
7402   t->cfltime          = tsin->cfltime;
7403   t->cfltime_local    = tsin->cfltime_local;
7404   t->exact_final_time = tsin->exact_final_time;
7405 
7406   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7407 
7408   if (((PetscObject)tsin)->fortran_func_pointers) {
7409     PetscInt i;
7410     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7411     for (i=0; i<10; i++) {
7412       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7413     }
7414   }
7415   *tsout = t;
7416   PetscFunctionReturn(0);
7417 }
7418