xref: /petsc/src/ts/interface/ts.c (revision 1a2443445f10a6cdb92f6af2ca31cdcaa5f5151b)
1 
2 #include <petsc/private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_AdjointStep, TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"UNSPECIFIED","STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   Vec           initialsolution;
17   PetscBool     showinitial;
18   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
19   PetscBool     showtimestepandtime;
20 };
21 
22 #undef __FUNCT__
23 #define __FUNCT__ "TSMonitorSetFromOptions"
24 /*@C
25    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
26 
27    Collective on TS
28 
29    Input Parameters:
30 +  ts - TS object you wish to monitor
31 .  name - the monitor type one is seeking
32 .  help - message indicating what monitoring is done
33 .  manual - manual page for the monitor
34 .  monitor - the monitor function
35 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
36 
37    Level: developer
38 
39 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
40           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
41           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
42           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
43           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
44           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
45           PetscOptionsFList(), PetscOptionsEList()
46 @*/
47 PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
48 {
49   PetscErrorCode    ierr;
50   PetscViewer       viewer;
51   PetscViewerFormat format;
52   PetscBool         flg;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
56   if (flg) {
57     PetscViewerAndFormat *vf;
58     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
59     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
60     if (monitorsetup) {
61       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
62     }
63     ierr = TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
64   }
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "TSAdjointMonitorSetFromOptions"
70 /*@C
71    TSAdjointMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
72 
73    Collective on TS
74 
75    Input Parameters:
76 +  ts - TS object you wish to monitor
77 .  name - the monitor type one is seeking
78 .  help - message indicating what monitoring is done
79 .  manual - manual page for the monitor
80 .  monitor - the monitor function
81 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
82 
83    Level: developer
84 
85 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
86           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
87           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
88           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
89           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
90           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
91           PetscOptionsFList(), PetscOptionsEList()
92 @*/
93 PetscErrorCode  TSAdjointMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
94 {
95   PetscErrorCode    ierr;
96   PetscViewer       viewer;
97   PetscViewerFormat format;
98   PetscBool         flg;
99 
100   PetscFunctionBegin;
101   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
102   if (flg) {
103     PetscViewerAndFormat *vf;
104     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
105     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
106     if (monitorsetup) {
107       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
108     }
109     ierr = TSAdjointMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
110   }
111   PetscFunctionReturn(0);
112 }
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "TSSetFromOptions"
116 /*@
117    TSSetFromOptions - Sets various TS parameters from user options.
118 
119    Collective on TS
120 
121    Input Parameter:
122 .  ts - the TS context obtained from TSCreate()
123 
124    Options Database Keys:
125 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSALPHA, TSGL, TSSSP
126 .  -ts_save_trajectory - checkpoint the solution at each time-step
127 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
128 .  -ts_final_time <time> - maximum time to compute to
129 .  -ts_dt <dt> - initial time step
130 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
131 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
132 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
133 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
134 .  -ts_rtol <rtol> - relative tolerance for local truncation error
135 .  -ts_atol <atol> Absolute tolerance for local truncation error
136 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
137 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
138 .  -ts_monitor - print information at each timestep
139 .  -ts_monitor_lg_solution - Monitor solution graphically
140 .  -ts_monitor_lg_error - Monitor error graphically
141 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
142 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
143 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
144 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
145 .  -ts_monitor_draw_solution - Monitor solution graphically
146 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
147 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
148 .  -ts_monitor_solution [ascii binary draw][:filename][:viewerformat] - monitors the solution at each timestep
149 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
150 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
151 .  -ts_adjoint_monitor - print information at each adjoint time step
152 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
153 
154    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
155 
156    Level: beginner
157 
158 .keywords: TS, timestep, set, options, database
159 
160 .seealso: TSGetType()
161 @*/
162 PetscErrorCode  TSSetFromOptions(TS ts)
163 {
164   PetscBool              opt,flg,tflg;
165   PetscErrorCode         ierr;
166   char                   monfilename[PETSC_MAX_PATH_LEN];
167   PetscReal              time_step;
168   TSExactFinalTimeOption eftopt;
169   char                   dir[16];
170   TSIFunction            ifun;
171   const char             *defaultType;
172   char                   typeName[256];
173 
174   PetscFunctionBegin;
175   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
176 
177   ierr = TSRegisterAll();CHKERRQ(ierr);
178   ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
179 
180   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
181   if (((PetscObject)ts)->type_name)
182     defaultType = ((PetscObject)ts)->type_name;
183   else
184     defaultType = ifun ? TSBEULER : TSEULER;
185   ierr = PetscOptionsFList("-ts_type","TS method","TSSetType",TSList,defaultType,typeName,256,&opt);CHKERRQ(ierr);
186   if (opt) {
187     ierr = TSSetType(ts,typeName);CHKERRQ(ierr);
188   } else {
189     ierr = TSSetType(ts,defaultType);CHKERRQ(ierr);
190   }
191 
192   /* Handle generic TS options */
193   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
194   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
195   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
196   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
197   if (flg) {ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);}
198   ierr = PetscOptionsEnum("-ts_exact_final_time","Option for handling of final time step","TSSetExactFinalTime",TSExactFinalTimeOptions,(PetscEnum)ts->exact_final_time,(PetscEnum*)&eftopt,&flg);CHKERRQ(ierr);
199   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
200   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
201   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
202   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
203   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
204   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
205 
206 #if defined(PETSC_HAVE_SAWS)
207   {
208   PetscBool set;
209   flg  = PETSC_FALSE;
210   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
211   if (set) {
212     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
213   }
214   }
215 #endif
216 
217   /* Monitor options */
218   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor","Monitor time and timestep size","TSMonitorDefault",TSMonitorDefault,NULL);CHKERRQ(ierr);
219   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor_solution","View the solution at each timestep","TSMonitorSolution",TSMonitorSolution,NULL);CHKERRQ(ierr);
220   ierr = TSAdjointMonitorSetFromOptions(ts,"-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault",TSAdjointMonitorDefault,NULL);CHKERRQ(ierr);
221 
222   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
223   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
224 
225   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
226   if (opt) {
227     TSMonitorLGCtx ctx;
228     PetscInt       howoften = 1;
229 
230     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
231     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
232     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
233   }
234 
235   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorLGCtx ctx;
238     PetscInt       howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
243   }
244 
245   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
246   if (opt) {
247     TSMonitorLGCtx ctx;
248     PetscInt       howoften = 1;
249 
250     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
251     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
252     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
253   }
254   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
255   if (opt) {
256     TSMonitorLGCtx ctx;
257     PetscInt       howoften = 1;
258 
259     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
260     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
261     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
262   }
263   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
264   if (opt) {
265     TSMonitorLGCtx ctx;
266     PetscInt       howoften = 1;
267 
268     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
269     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
270     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
271   }
272   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
273   if (opt) {
274     TSMonitorSPEigCtx ctx;
275     PetscInt          howoften = 1;
276 
277     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
278     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
280   }
281   opt  = PETSC_FALSE;
282   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
283   if (opt) {
284     TSMonitorDrawCtx ctx;
285     PetscInt         howoften = 1;
286 
287     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
288     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
289     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
290   }
291   opt  = PETSC_FALSE;
292   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
293   if (opt) {
294     TSMonitorDrawCtx ctx;
295     PetscInt         howoften = 1;
296 
297     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
298     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
299     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
300   }
301   opt  = PETSC_FALSE;
302   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
303   if (opt) {
304     TSMonitorDrawCtx ctx;
305     PetscReal        bounds[4];
306     PetscInt         n = 4;
307     PetscDraw        draw;
308     PetscDrawAxis    axis;
309 
310     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
311     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
312     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,1,&ctx);CHKERRQ(ierr);
313     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
314     ierr = PetscViewerDrawGetDrawAxis(ctx->viewer,0,&axis);CHKERRQ(ierr);
315     ierr = PetscDrawAxisSetLimits(axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
316     ierr = PetscDrawAxisSetLabels(axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
317     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
318   }
319   opt  = PETSC_FALSE;
320   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
321   if (opt) {
322     TSMonitorDrawCtx ctx;
323     PetscInt         howoften = 1;
324 
325     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
326     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
327     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
328   }
329 
330   opt  = PETSC_FALSE;
331   ierr = PetscOptionsString("-ts_monitor_solution_vtk","Save each time step to a binary file, use filename-%%03D.vts","TSMonitorSolutionVTK",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
332   if (flg) {
333     const char *ptr,*ptr2;
334     char       *filetemplate;
335     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
336     /* Do some cursory validation of the input. */
337     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
338     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
339     for (ptr++; ptr && *ptr; ptr++) {
340       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
341       if (!ptr2 && (*ptr < '0' || '9' < *ptr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03D.vts");
342       if (ptr2) break;
343     }
344     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
345     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
346   }
347 
348   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
349   if (flg) {
350     TSMonitorDMDARayCtx *rayctx;
351     int                  ray = 0;
352     DMDADirection        ddir;
353     DM                   da;
354     PetscMPIInt          rank;
355 
356     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
357     if (dir[0] == 'x') ddir = DMDA_X;
358     else if (dir[0] == 'y') ddir = DMDA_Y;
359     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
360     sscanf(dir+2,"%d",&ray);
361 
362     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
363     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
364     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
365     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
366     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
367     if (!rank) {
368       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
369     }
370     rayctx->lgctx = NULL;
371     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
372   }
373   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
374   if (flg) {
375     TSMonitorDMDARayCtx *rayctx;
376     int                 ray = 0;
377     DMDADirection       ddir;
378     DM                  da;
379     PetscInt            howoften = 1;
380 
381     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
382     if      (dir[0] == 'x') ddir = DMDA_X;
383     else if (dir[0] == 'y') ddir = DMDA_Y;
384     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
385     sscanf(dir+2, "%d", &ray);
386 
387     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
388     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
389     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
390     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
391     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
392     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
393   }
394 
395   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
396   if (opt) {
397     TSMonitorEnvelopeCtx ctx;
398 
399     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
400     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
401   }
402 
403   flg  = PETSC_FALSE;
404   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
405   if (flg) {
406     DM   dm;
407     DMTS tdm;
408 
409     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
410     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
411     tdm->ijacobianctx = NULL;
412     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
413     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
414   }
415 
416   if (ts->adapt) {
417     ierr = TSAdaptSetFromOptions(PetscOptionsObject,ts->adapt);CHKERRQ(ierr);
418   }
419 
420   /* Handle specific TS options */
421   if (ts->ops->setfromoptions) {
422     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
423   }
424 
425   /* TS trajectory must be set after TS, since it may use some TS options above */
426   tflg = ts->trajectory ? PETSC_TRUE : PETSC_FALSE;
427   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
428   if (tflg) {
429     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
430   }
431   tflg = ts->adjoint_solve ? PETSC_TRUE : PETSC_FALSE;
432   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
433   if (flg) {
434     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
435     ts->adjoint_solve = tflg;
436   }
437 
438   /* process any options handlers added with PetscObjectAddOptionsHandler() */
439   ierr = PetscObjectProcessOptionsHandlers(PetscOptionsObject,(PetscObject)ts);CHKERRQ(ierr);
440   ierr = PetscOptionsEnd();CHKERRQ(ierr);
441 
442   if (ts->trajectory) {
443     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
444   }
445 
446   ierr = TSGetSNES(ts,&ts->snes);CHKERRQ(ierr);
447   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);}
448   ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSSetSaveTrajectory"
454 /*@
455    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
456 
457    Collective on TS
458 
459    Input Parameters:
460 .  ts - the TS context obtained from TSCreate()
461 
462 Note: This routine should be called after all TS options have been set
463 
464    Level: intermediate
465 
466 .seealso: TSGetTrajectory(), TSAdjointSolve()
467 
468 .keywords: TS, set, checkpoint,
469 @*/
470 PetscErrorCode  TSSetSaveTrajectory(TS ts)
471 {
472   PetscErrorCode ierr;
473 
474   PetscFunctionBegin;
475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
476   if (!ts->trajectory) {
477     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
478     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "TSComputeRHSJacobian"
485 /*@
486    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
487       set with TSSetRHSJacobian().
488 
489    Collective on TS and Vec
490 
491    Input Parameters:
492 +  ts - the TS context
493 .  t - current timestep
494 -  U - input vector
495 
496    Output Parameters:
497 +  A - Jacobian matrix
498 .  B - optional preconditioning matrix
499 -  flag - flag indicating matrix structure
500 
501    Notes:
502    Most users should not need to explicitly call this routine, as it
503    is used internally within the nonlinear solvers.
504 
505    See KSPSetOperators() for important information about setting the
506    flag parameter.
507 
508    Level: developer
509 
510 .keywords: SNES, compute, Jacobian, matrix
511 
512 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
513 @*/
514 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
515 {
516   PetscErrorCode ierr;
517   PetscObjectState Ustate;
518   DM             dm;
519   DMTS           tsdm;
520   TSRHSJacobian  rhsjacobianfunc;
521   void           *ctx;
522   TSIJacobian    ijacobianfunc;
523   TSRHSFunction  rhsfunction;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
527   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
528   PetscCheckSameComm(ts,1,U,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
531   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
532   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
533   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
534   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
535   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
536     PetscFunctionReturn(0);
537   }
538 
539   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
540 
541   if (ts->rhsjacobian.reuse) {
542     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
543     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
544     if (A != B) {
545       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
546       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
547     }
548     ts->rhsjacobian.shift = 0;
549     ts->rhsjacobian.scale = 1.;
550   }
551 
552   if (rhsjacobianfunc) {
553     PetscBool missing;
554     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
555     PetscStackPush("TS user Jacobian function");
556     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
557     PetscStackPop;
558     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
559     if (A) {
560       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
561       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
562     }
563     if (B && B != A) {
564       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
565       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
566     }
567   } else {
568     ierr = MatZeroEntries(A);CHKERRQ(ierr);
569     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
570   }
571   ts->rhsjacobian.time       = t;
572   ts->rhsjacobian.X          = U;
573   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSComputeRHSFunction"
579 /*@
580    TSComputeRHSFunction - Evaluates the right-hand-side function.
581 
582    Collective on TS and Vec
583 
584    Input Parameters:
585 +  ts - the TS context
586 .  t - current time
587 -  U - state vector
588 
589    Output Parameter:
590 .  y - right hand side
591 
592    Note:
593    Most users should not need to explicitly call this routine, as it
594    is used internally within the nonlinear solvers.
595 
596    Level: developer
597 
598 .keywords: TS, compute
599 
600 .seealso: TSSetRHSFunction(), TSComputeIFunction()
601 @*/
602 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
603 {
604   PetscErrorCode ierr;
605   TSRHSFunction  rhsfunction;
606   TSIFunction    ifunction;
607   void           *ctx;
608   DM             dm;
609 
610   PetscFunctionBegin;
611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
612   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
613   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
614   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
615   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
616   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
617 
618   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
619 
620   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
621   if (rhsfunction) {
622     PetscStackPush("TS user right-hand-side function");
623     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
624     PetscStackPop;
625   } else {
626     ierr = VecZeroEntries(y);CHKERRQ(ierr);
627   }
628 
629   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "TSComputeSolutionFunction"
635 /*@
636    TSComputeSolutionFunction - Evaluates the solution function.
637 
638    Collective on TS and Vec
639 
640    Input Parameters:
641 +  ts - the TS context
642 -  t - current time
643 
644    Output Parameter:
645 .  U - the solution
646 
647    Note:
648    Most users should not need to explicitly call this routine, as it
649    is used internally within the nonlinear solvers.
650 
651    Level: developer
652 
653 .keywords: TS, compute
654 
655 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
656 @*/
657 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
658 {
659   PetscErrorCode     ierr;
660   TSSolutionFunction solutionfunction;
661   void               *ctx;
662   DM                 dm;
663 
664   PetscFunctionBegin;
665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
666   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
669 
670   if (solutionfunction) {
671     PetscStackPush("TS user solution function");
672     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
673     PetscStackPop;
674   }
675   PetscFunctionReturn(0);
676 }
677 #undef __FUNCT__
678 #define __FUNCT__ "TSComputeForcingFunction"
679 /*@
680    TSComputeForcingFunction - Evaluates the forcing function.
681 
682    Collective on TS and Vec
683 
684    Input Parameters:
685 +  ts - the TS context
686 -  t - current time
687 
688    Output Parameter:
689 .  U - the function value
690 
691    Note:
692    Most users should not need to explicitly call this routine, as it
693    is used internally within the nonlinear solvers.
694 
695    Level: developer
696 
697 .keywords: TS, compute
698 
699 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
700 @*/
701 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
702 {
703   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
704   void               *ctx;
705   DM                 dm;
706 
707   PetscFunctionBegin;
708   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
709   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
711   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
712 
713   if (forcing) {
714     PetscStackPush("TS user forcing function");
715     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
716     PetscStackPop;
717   }
718   PetscFunctionReturn(0);
719 }
720 
721 #undef __FUNCT__
722 #define __FUNCT__ "TSGetRHSVec_Private"
723 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
724 {
725   Vec            F;
726   PetscErrorCode ierr;
727 
728   PetscFunctionBegin;
729   *Frhs = NULL;
730   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
731   if (!ts->Frhs) {
732     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
733   }
734   *Frhs = ts->Frhs;
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "TSGetRHSMats_Private"
740 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
741 {
742   Mat            A,B;
743   PetscErrorCode ierr;
744 
745   PetscFunctionBegin;
746   if (Arhs) *Arhs = NULL;
747   if (Brhs) *Brhs = NULL;
748   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
749   if (Arhs) {
750     if (!ts->Arhs) {
751       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
752     }
753     *Arhs = ts->Arhs;
754   }
755   if (Brhs) {
756     if (!ts->Brhs) {
757       if (A != B) {
758         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
759       } else {
760         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
761         ts->Brhs = ts->Arhs;
762       }
763     }
764     *Brhs = ts->Brhs;
765   }
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIFunction"
771 /*@
772    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
773 
774    Collective on TS and Vec
775 
776    Input Parameters:
777 +  ts - the TS context
778 .  t - current time
779 .  U - state vector
780 .  Udot - time derivative of state vector
781 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
782 
783    Output Parameter:
784 .  Y - right hand side
785 
786    Note:
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    If the user did did not write their equations in implicit form, this
791    function recasts them in implicit form.
792 
793    Level: developer
794 
795 .keywords: TS, compute
796 
797 .seealso: TSSetIFunction(), TSComputeRHSFunction()
798 @*/
799 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
800 {
801   PetscErrorCode ierr;
802   TSIFunction    ifunction;
803   TSRHSFunction  rhsfunction;
804   void           *ctx;
805   DM             dm;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
809   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
810   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
811   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
816 
817   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
818 
819   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
820   if (ifunction) {
821     PetscStackPush("TS user implicit function");
822     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824   }
825   if (imex) {
826     if (!ifunction) {
827       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
828     }
829   } else if (rhsfunction) {
830     if (ifunction) {
831       Vec Frhs;
832       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
833       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
834       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
835     } else {
836       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
837       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
838     }
839   }
840   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
841   PetscFunctionReturn(0);
842 }
843 
844 #undef __FUNCT__
845 #define __FUNCT__ "TSComputeIJacobian"
846 /*@
847    TSComputeIJacobian - Evaluates the Jacobian of the DAE
848 
849    Collective on TS and Vec
850 
851    Input
852       Input Parameters:
853 +  ts - the TS context
854 .  t - current timestep
855 .  U - state vector
856 .  Udot - time derivative of state vector
857 .  shift - shift to apply, see note below
858 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
859 
860    Output Parameters:
861 +  A - Jacobian matrix
862 .  B - optional preconditioning matrix
863 -  flag - flag indicating matrix structure
864 
865    Notes:
866    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
867 
868    dF/dU + shift*dF/dUdot
869 
870    Most users should not need to explicitly call this routine, as it
871    is used internally within the nonlinear solvers.
872 
873    Level: developer
874 
875 .keywords: TS, compute, Jacobian, matrix
876 
877 .seealso:  TSSetIJacobian()
878 @*/
879 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
880 {
881   PetscErrorCode ierr;
882   TSIJacobian    ijacobian;
883   TSRHSJacobian  rhsjacobian;
884   DM             dm;
885   void           *ctx;
886 
887   PetscFunctionBegin;
888   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
889   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
890   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
891   PetscValidPointer(A,6);
892   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
893   PetscValidPointer(B,7);
894   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
895 
896   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
897   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
898   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
899 
900   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
901 
902   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
903   if (ijacobian) {
904     PetscBool missing;
905     PetscStackPush("TS user implicit Jacobian");
906     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
907     PetscStackPop;
908     if (A) {
909       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
910       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
911     }
912     if (B && B != A) {
913       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
914       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
915     }
916   }
917   if (imex) {
918     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
919       ierr = MatZeroEntries(A);CHKERRQ(ierr);
920       ierr = MatShift(A,shift);CHKERRQ(ierr);
921       if (A != B) {
922         ierr = MatZeroEntries(B);CHKERRQ(ierr);
923         ierr = MatShift(B,shift);CHKERRQ(ierr);
924       }
925     }
926   } else {
927     Mat Arhs = NULL,Brhs = NULL;
928     if (rhsjacobian) {
929       if (ijacobian) {
930         ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
931       } else {
932         ierr = TSGetIJacobian(ts,&Arhs,&Brhs,NULL,NULL);CHKERRQ(ierr);
933       }
934       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
935     }
936     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
937       ts->rhsjacobian.scale = -1;
938       ts->rhsjacobian.shift = shift;
939       ierr = MatScale(A,-1);CHKERRQ(ierr);
940       ierr = MatShift(A,shift);CHKERRQ(ierr);
941       if (A != B) {
942         ierr = MatScale(B,-1);CHKERRQ(ierr);
943         ierr = MatShift(B,shift);CHKERRQ(ierr);
944       }
945     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
946       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
947       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
948         ierr = MatZeroEntries(A);CHKERRQ(ierr);
949         ierr = MatShift(A,shift);CHKERRQ(ierr);
950         if (A != B) {
951           ierr = MatZeroEntries(B);CHKERRQ(ierr);
952           ierr = MatShift(B,shift);CHKERRQ(ierr);
953         }
954       }
955       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
956       if (A != B) {
957         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
958       }
959     }
960   }
961   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
962   PetscFunctionReturn(0);
963 }
964 
965 #undef __FUNCT__
966 #define __FUNCT__ "TSSetRHSFunction"
967 /*@C
968     TSSetRHSFunction - Sets the routine for evaluating the function,
969     where U_t = G(t,u).
970 
971     Logically Collective on TS
972 
973     Input Parameters:
974 +   ts - the TS context obtained from TSCreate()
975 .   r - vector to put the computed right hand side (or NULL to have it created)
976 .   f - routine for evaluating the right-hand-side function
977 -   ctx - [optional] user-defined context for private data for the
978           function evaluation routine (may be NULL)
979 
980     Calling sequence of func:
981 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
982 
983 +   t - current timestep
984 .   u - input vector
985 .   F - function vector
986 -   ctx - [optional] user-defined function context
987 
988     Level: beginner
989 
990     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
991 
992 .keywords: TS, timestep, set, right-hand-side, function
993 
994 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
995 @*/
996 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
997 {
998   PetscErrorCode ierr;
999   SNES           snes;
1000   Vec            ralloc = NULL;
1001   DM             dm;
1002 
1003   PetscFunctionBegin;
1004   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1005   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1006 
1007   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1008   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
1009   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1010   if (!r && !ts->dm && ts->vec_sol) {
1011     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1012     r = ralloc;
1013   }
1014   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1015   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1016   PetscFunctionReturn(0);
1017 }
1018 
1019 #undef __FUNCT__
1020 #define __FUNCT__ "TSSetSolutionFunction"
1021 /*@C
1022     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
1023 
1024     Logically Collective on TS
1025 
1026     Input Parameters:
1027 +   ts - the TS context obtained from TSCreate()
1028 .   f - routine for evaluating the solution
1029 -   ctx - [optional] user-defined context for private data for the
1030           function evaluation routine (may be NULL)
1031 
1032     Calling sequence of func:
1033 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1034 
1035 +   t - current timestep
1036 .   u - output vector
1037 -   ctx - [optional] user-defined function context
1038 
1039     Notes:
1040     This routine is used for testing accuracy of time integration schemes when you already know the solution.
1041     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
1042     create closed-form solutions with non-physical forcing terms.
1043 
1044     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1045 
1046     Level: beginner
1047 
1048 .keywords: TS, timestep, set, right-hand-side, function
1049 
1050 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
1051 @*/
1052 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1053 {
1054   PetscErrorCode ierr;
1055   DM             dm;
1056 
1057   PetscFunctionBegin;
1058   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1059   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1060   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
1061   PetscFunctionReturn(0);
1062 }
1063 
1064 #undef __FUNCT__
1065 #define __FUNCT__ "TSSetForcingFunction"
1066 /*@C
1067     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
1068 
1069     Logically Collective on TS
1070 
1071     Input Parameters:
1072 +   ts - the TS context obtained from TSCreate()
1073 .   f - routine for evaluating the forcing function
1074 -   ctx - [optional] user-defined context for private data for the
1075           function evaluation routine (may be NULL)
1076 
1077     Calling sequence of func:
1078 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1079 
1080 +   t - current timestep
1081 .   u - output vector
1082 -   ctx - [optional] user-defined function context
1083 
1084     Notes:
1085     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1086     create closed-form solutions with a non-physical forcing term.
1087 
1088     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1089 
1090     Level: beginner
1091 
1092 .keywords: TS, timestep, set, right-hand-side, function
1093 
1094 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1095 @*/
1096 PetscErrorCode  TSSetForcingFunction(TS ts,TSForcingFunction f,void *ctx)
1097 {
1098   PetscErrorCode ierr;
1099   DM             dm;
1100 
1101   PetscFunctionBegin;
1102   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1103   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1104   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1105   PetscFunctionReturn(0);
1106 }
1107 
1108 #undef __FUNCT__
1109 #define __FUNCT__ "TSSetRHSJacobian"
1110 /*@C
1111    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1112    where U_t = G(U,t), as well as the location to store the matrix.
1113 
1114    Logically Collective on TS
1115 
1116    Input Parameters:
1117 +  ts  - the TS context obtained from TSCreate()
1118 .  Amat - (approximate) Jacobian matrix
1119 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1120 .  f   - the Jacobian evaluation routine
1121 -  ctx - [optional] user-defined context for private data for the
1122          Jacobian evaluation routine (may be NULL)
1123 
1124    Calling sequence of f:
1125 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1126 
1127 +  t - current timestep
1128 .  u - input vector
1129 .  Amat - (approximate) Jacobian matrix
1130 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1131 -  ctx - [optional] user-defined context for matrix evaluation routine
1132 
1133    Notes:
1134    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1135 
1136    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1137    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1138 
1139    Level: beginner
1140 
1141 .keywords: TS, timestep, set, right-hand-side, Jacobian
1142 
1143 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1144 
1145 @*/
1146 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1147 {
1148   PetscErrorCode ierr;
1149   SNES           snes;
1150   DM             dm;
1151   TSIJacobian    ijacobian;
1152 
1153   PetscFunctionBegin;
1154   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1155   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1156   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1157   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1158   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1159 
1160   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1161   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1162   if (f == TSComputeRHSJacobianConstant) {
1163     /* Handle this case automatically for the user; otherwise user should call themselves. */
1164     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1165   }
1166   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1167   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1168   if (!ijacobian) {
1169     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1170   }
1171   if (Amat) {
1172     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1173     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1174     ts->Arhs = Amat;
1175   }
1176   if (Pmat) {
1177     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1178     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1179     ts->Brhs = Pmat;
1180   }
1181   PetscFunctionReturn(0);
1182 }
1183 
1184 
1185 #undef __FUNCT__
1186 #define __FUNCT__ "TSSetIFunction"
1187 /*@C
1188    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1189 
1190    Logically Collective on TS
1191 
1192    Input Parameters:
1193 +  ts  - the TS context obtained from TSCreate()
1194 .  r   - vector to hold the residual (or NULL to have it created internally)
1195 .  f   - the function evaluation routine
1196 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1197 
1198    Calling sequence of f:
1199 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1200 
1201 +  t   - time at step/stage being solved
1202 .  u   - state vector
1203 .  u_t - time derivative of state vector
1204 .  F   - function vector
1205 -  ctx - [optional] user-defined context for matrix evaluation routine
1206 
1207    Important:
1208    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1209 
1210    Level: beginner
1211 
1212 .keywords: TS, timestep, set, DAE, Jacobian
1213 
1214 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1215 @*/
1216 PetscErrorCode  TSSetIFunction(TS ts,Vec r,TSIFunction f,void *ctx)
1217 {
1218   PetscErrorCode ierr;
1219   SNES           snes;
1220   Vec            ralloc = NULL;
1221   DM             dm;
1222 
1223   PetscFunctionBegin;
1224   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1225   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1226 
1227   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1228   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1229 
1230   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1231   if (!r && !ts->dm && ts->vec_sol) {
1232     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1233     r  = ralloc;
1234   }
1235   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1236   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1237   PetscFunctionReturn(0);
1238 }
1239 
1240 #undef __FUNCT__
1241 #define __FUNCT__ "TSGetIFunction"
1242 /*@C
1243    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1244 
1245    Not Collective
1246 
1247    Input Parameter:
1248 .  ts - the TS context
1249 
1250    Output Parameter:
1251 +  r - vector to hold residual (or NULL)
1252 .  func - the function to compute residual (or NULL)
1253 -  ctx - the function context (or NULL)
1254 
1255    Level: advanced
1256 
1257 .keywords: TS, nonlinear, get, function
1258 
1259 .seealso: TSSetIFunction(), SNESGetFunction()
1260 @*/
1261 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1262 {
1263   PetscErrorCode ierr;
1264   SNES           snes;
1265   DM             dm;
1266 
1267   PetscFunctionBegin;
1268   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1269   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1270   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1271   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1272   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1273   PetscFunctionReturn(0);
1274 }
1275 
1276 #undef __FUNCT__
1277 #define __FUNCT__ "TSGetRHSFunction"
1278 /*@C
1279    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1280 
1281    Not Collective
1282 
1283    Input Parameter:
1284 .  ts - the TS context
1285 
1286    Output Parameter:
1287 +  r - vector to hold computed right hand side (or NULL)
1288 .  func - the function to compute right hand side (or NULL)
1289 -  ctx - the function context (or NULL)
1290 
1291    Level: advanced
1292 
1293 .keywords: TS, nonlinear, get, function
1294 
1295 .seealso: TSSetRHSFunction(), SNESGetFunction()
1296 @*/
1297 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1298 {
1299   PetscErrorCode ierr;
1300   SNES           snes;
1301   DM             dm;
1302 
1303   PetscFunctionBegin;
1304   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1305   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1306   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1307   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1308   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1309   PetscFunctionReturn(0);
1310 }
1311 
1312 #undef __FUNCT__
1313 #define __FUNCT__ "TSSetIJacobian"
1314 /*@C
1315    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1316         provided with TSSetIFunction().
1317 
1318    Logically Collective on TS
1319 
1320    Input Parameters:
1321 +  ts  - the TS context obtained from TSCreate()
1322 .  Amat - (approximate) Jacobian matrix
1323 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1324 .  f   - the Jacobian evaluation routine
1325 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1326 
1327    Calling sequence of f:
1328 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1329 
1330 +  t    - time at step/stage being solved
1331 .  U    - state vector
1332 .  U_t  - time derivative of state vector
1333 .  a    - shift
1334 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1335 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1336 -  ctx  - [optional] user-defined context for matrix evaluation routine
1337 
1338    Notes:
1339    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1340 
1341    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1342    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1343 
1344    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1345    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1346    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1347    a and vector W depend on the integration method, step size, and past states. For example with
1348    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1349    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1350 
1351    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1352 
1353    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1354    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1355 
1356    Level: beginner
1357 
1358 .keywords: TS, timestep, DAE, Jacobian
1359 
1360 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1361 
1362 @*/
1363 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1364 {
1365   PetscErrorCode ierr;
1366   SNES           snes;
1367   DM             dm;
1368 
1369   PetscFunctionBegin;
1370   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1371   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1372   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1373   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1374   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1375 
1376   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1377   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1378 
1379   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1380   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1381   PetscFunctionReturn(0);
1382 }
1383 
1384 #undef __FUNCT__
1385 #define __FUNCT__ "TSRHSJacobianSetReuse"
1386 /*@
1387    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1388    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1389    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1390    not been changed by the TS.
1391 
1392    Logically Collective
1393 
1394    Input Arguments:
1395 +  ts - TS context obtained from TSCreate()
1396 -  reuse - PETSC_TRUE if the RHS Jacobian
1397 
1398    Level: intermediate
1399 
1400 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1401 @*/
1402 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1403 {
1404   PetscFunctionBegin;
1405   ts->rhsjacobian.reuse = reuse;
1406   PetscFunctionReturn(0);
1407 }
1408 
1409 #undef __FUNCT__
1410 #define __FUNCT__ "TSLoad"
1411 /*@C
1412   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1413 
1414   Collective on PetscViewer
1415 
1416   Input Parameters:
1417 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1418            some related function before a call to TSLoad().
1419 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1420 
1421    Level: intermediate
1422 
1423   Notes:
1424    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1425 
1426   Notes for advanced users:
1427   Most users should not need to know the details of the binary storage
1428   format, since TSLoad() and TSView() completely hide these details.
1429   But for anyone who's interested, the standard binary matrix storage
1430   format is
1431 .vb
1432      has not yet been determined
1433 .ve
1434 
1435 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1436 @*/
1437 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1438 {
1439   PetscErrorCode ierr;
1440   PetscBool      isbinary;
1441   PetscInt       classid;
1442   char           type[256];
1443   DMTS           sdm;
1444   DM             dm;
1445 
1446   PetscFunctionBegin;
1447   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1448   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1449   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1450   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1451 
1452   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1453   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1454   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1455   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1456   if (ts->ops->load) {
1457     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1458   }
1459   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1460   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1461   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1462   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1463   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1464   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1465   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1466   PetscFunctionReturn(0);
1467 }
1468 
1469 #include <petscdraw.h>
1470 #if defined(PETSC_HAVE_SAWS)
1471 #include <petscviewersaws.h>
1472 #endif
1473 #undef __FUNCT__
1474 #define __FUNCT__ "TSView"
1475 /*@C
1476     TSView - Prints the TS data structure.
1477 
1478     Collective on TS
1479 
1480     Input Parameters:
1481 +   ts - the TS context obtained from TSCreate()
1482 -   viewer - visualization context
1483 
1484     Options Database Key:
1485 .   -ts_view - calls TSView() at end of TSStep()
1486 
1487     Notes:
1488     The available visualization contexts include
1489 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1490 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1491          output where only the first processor opens
1492          the file.  All other processors send their
1493          data to the first processor to print.
1494 
1495     The user can open an alternative visualization context with
1496     PetscViewerASCIIOpen() - output to a specified file.
1497 
1498     Level: beginner
1499 
1500 .keywords: TS, timestep, view
1501 
1502 .seealso: PetscViewerASCIIOpen()
1503 @*/
1504 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1505 {
1506   PetscErrorCode ierr;
1507   TSType         type;
1508   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1509   DMTS           sdm;
1510 #if defined(PETSC_HAVE_SAWS)
1511   PetscBool      issaws;
1512 #endif
1513 
1514   PetscFunctionBegin;
1515   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1516   if (!viewer) {
1517     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1518   }
1519   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1520   PetscCheckSameComm(ts,1,viewer,2);
1521 
1522   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1523   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1524   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1525   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1526 #if defined(PETSC_HAVE_SAWS)
1527   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1528 #endif
1529   if (iascii) {
1530     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1531     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1532     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1533     if (ts->problem_type == TS_NONLINEAR) {
1534       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1535       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1536     }
1537     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1538     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1539     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1540     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1541     if (ts->ops->view) {
1542       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1543       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1544       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1545     }
1546   } else if (isstring) {
1547     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1548     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1549   } else if (isbinary) {
1550     PetscInt    classid = TS_FILE_CLASSID;
1551     MPI_Comm    comm;
1552     PetscMPIInt rank;
1553     char        type[256];
1554 
1555     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1556     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1557     if (!rank) {
1558       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1559       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1560       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1561     }
1562     if (ts->ops->view) {
1563       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1564     }
1565     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1566     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1567     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1568     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1569   } else if (isdraw) {
1570     PetscDraw draw;
1571     char      str[36];
1572     PetscReal x,y,bottom,h;
1573 
1574     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1575     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1576     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1577     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1578     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1579     bottom = y - h;
1580     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1581     if (ts->ops->view) {
1582       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1583     }
1584     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1585 #if defined(PETSC_HAVE_SAWS)
1586   } else if (issaws) {
1587     PetscMPIInt rank;
1588     const char  *name;
1589 
1590     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1591     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1592     if (!((PetscObject)ts)->amsmem && !rank) {
1593       char       dir[1024];
1594 
1595       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1596       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1597       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1598       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1599       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1600     }
1601     if (ts->ops->view) {
1602       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1603     }
1604 #endif
1605   }
1606 
1607   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1608   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
1609   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1610   PetscFunctionReturn(0);
1611 }
1612 
1613 
1614 #undef __FUNCT__
1615 #define __FUNCT__ "TSSetApplicationContext"
1616 /*@
1617    TSSetApplicationContext - Sets an optional user-defined context for
1618    the timesteppers.
1619 
1620    Logically Collective on TS
1621 
1622    Input Parameters:
1623 +  ts - the TS context obtained from TSCreate()
1624 -  usrP - optional user context
1625 
1626    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
1627     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
1628 
1629    Level: intermediate
1630 
1631 .keywords: TS, timestep, set, application, context
1632 
1633 .seealso: TSGetApplicationContext()
1634 @*/
1635 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
1636 {
1637   PetscFunctionBegin;
1638   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1639   ts->user = usrP;
1640   PetscFunctionReturn(0);
1641 }
1642 
1643 #undef __FUNCT__
1644 #define __FUNCT__ "TSGetApplicationContext"
1645 /*@
1646     TSGetApplicationContext - Gets the user-defined context for the
1647     timestepper.
1648 
1649     Not Collective
1650 
1651     Input Parameter:
1652 .   ts - the TS context obtained from TSCreate()
1653 
1654     Output Parameter:
1655 .   usrP - user context
1656 
1657    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
1658     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
1659 
1660     Level: intermediate
1661 
1662 .keywords: TS, timestep, get, application, context
1663 
1664 .seealso: TSSetApplicationContext()
1665 @*/
1666 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
1667 {
1668   PetscFunctionBegin;
1669   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1670   *(void**)usrP = ts->user;
1671   PetscFunctionReturn(0);
1672 }
1673 
1674 #undef __FUNCT__
1675 #define __FUNCT__ "TSGetTimeStepNumber"
1676 /*@
1677    TSGetTimeStepNumber - Gets the number of time steps completed.
1678 
1679    Not Collective
1680 
1681    Input Parameter:
1682 .  ts - the TS context obtained from TSCreate()
1683 
1684    Output Parameter:
1685 .  iter - number of steps completed so far
1686 
1687    Level: intermediate
1688 
1689 .keywords: TS, timestep, get, iteration, number
1690 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
1691 @*/
1692 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
1693 {
1694   PetscFunctionBegin;
1695   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1696   PetscValidIntPointer(iter,2);
1697   *iter = ts->steps;
1698   PetscFunctionReturn(0);
1699 }
1700 
1701 #undef __FUNCT__
1702 #define __FUNCT__ "TSSetInitialTimeStep"
1703 /*@
1704    TSSetInitialTimeStep - Sets the initial timestep to be used,
1705    as well as the initial time.
1706 
1707    Logically Collective on TS
1708 
1709    Input Parameters:
1710 +  ts - the TS context obtained from TSCreate()
1711 .  initial_time - the initial time
1712 -  time_step - the size of the timestep
1713 
1714    Level: intermediate
1715 
1716 .seealso: TSSetTimeStep(), TSGetTimeStep()
1717 
1718 .keywords: TS, set, initial, timestep
1719 @*/
1720 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
1721 {
1722   PetscErrorCode ierr;
1723 
1724   PetscFunctionBegin;
1725   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1726   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
1727   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
1728   PetscFunctionReturn(0);
1729 }
1730 
1731 #undef __FUNCT__
1732 #define __FUNCT__ "TSSetTimeStep"
1733 /*@
1734    TSSetTimeStep - Allows one to reset the timestep at any time,
1735    useful for simple pseudo-timestepping codes.
1736 
1737    Logically Collective on TS
1738 
1739    Input Parameters:
1740 +  ts - the TS context obtained from TSCreate()
1741 -  time_step - the size of the timestep
1742 
1743    Level: intermediate
1744 
1745 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1746 
1747 .keywords: TS, set, timestep
1748 @*/
1749 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
1750 {
1751   PetscFunctionBegin;
1752   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1753   PetscValidLogicalCollectiveReal(ts,time_step,2);
1754   ts->time_step = time_step;
1755   PetscFunctionReturn(0);
1756 }
1757 
1758 #undef __FUNCT__
1759 #define __FUNCT__ "TSSetExactFinalTime"
1760 /*@
1761    TSSetExactFinalTime - Determines whether to adapt the final time step to
1762      match the exact final time, interpolate solution to the exact final time,
1763      or just return at the final time TS computed.
1764 
1765   Logically Collective on TS
1766 
1767    Input Parameter:
1768 +   ts - the time-step context
1769 -   eftopt - exact final time option
1770 
1771 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
1772 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
1773 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
1774 
1775    Options Database:
1776 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
1777 
1778    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
1779     then the final time you selected.
1780 
1781    Level: beginner
1782 
1783 .seealso: TSExactFinalTimeOption
1784 @*/
1785 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
1786 {
1787   PetscFunctionBegin;
1788   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1789   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
1790   ts->exact_final_time = eftopt;
1791   PetscFunctionReturn(0);
1792 }
1793 
1794 #undef __FUNCT__
1795 #define __FUNCT__ "TSGetTimeStep"
1796 /*@
1797    TSGetTimeStep - Gets the current timestep size.
1798 
1799    Not Collective
1800 
1801    Input Parameter:
1802 .  ts - the TS context obtained from TSCreate()
1803 
1804    Output Parameter:
1805 .  dt - the current timestep size
1806 
1807    Level: intermediate
1808 
1809 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
1810 
1811 .keywords: TS, get, timestep
1812 @*/
1813 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
1814 {
1815   PetscFunctionBegin;
1816   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1817   PetscValidRealPointer(dt,2);
1818   *dt = ts->time_step;
1819   PetscFunctionReturn(0);
1820 }
1821 
1822 #undef __FUNCT__
1823 #define __FUNCT__ "TSGetSolution"
1824 /*@
1825    TSGetSolution - Returns the solution at the present timestep. It
1826    is valid to call this routine inside the function that you are evaluating
1827    in order to move to the new timestep. This vector not changed until
1828    the solution at the next timestep has been calculated.
1829 
1830    Not Collective, but Vec returned is parallel if TS is parallel
1831 
1832    Input Parameter:
1833 .  ts - the TS context obtained from TSCreate()
1834 
1835    Output Parameter:
1836 .  v - the vector containing the solution
1837 
1838    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
1839    final time. It returns the solution at the next timestep.
1840 
1841    Level: intermediate
1842 
1843 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime()
1844 
1845 .keywords: TS, timestep, get, solution
1846 @*/
1847 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
1848 {
1849   PetscFunctionBegin;
1850   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1851   PetscValidPointer(v,2);
1852   *v = ts->vec_sol;
1853   PetscFunctionReturn(0);
1854 }
1855 
1856 #undef __FUNCT__
1857 #define __FUNCT__ "TSGetCostGradients"
1858 /*@
1859    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
1860 
1861    Not Collective, but Vec returned is parallel if TS is parallel
1862 
1863    Input Parameter:
1864 .  ts - the TS context obtained from TSCreate()
1865 
1866    Output Parameter:
1867 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
1868 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
1869 
1870    Level: intermediate
1871 
1872 .seealso: TSGetTimeStep()
1873 
1874 .keywords: TS, timestep, get, sensitivity
1875 @*/
1876 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
1877 {
1878   PetscFunctionBegin;
1879   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1880   if (numcost) *numcost = ts->numcost;
1881   if (lambda)  *lambda  = ts->vecs_sensi;
1882   if (mu)      *mu      = ts->vecs_sensip;
1883   PetscFunctionReturn(0);
1884 }
1885 
1886 /* ----- Routines to initialize and destroy a timestepper ---- */
1887 #undef __FUNCT__
1888 #define __FUNCT__ "TSSetProblemType"
1889 /*@
1890   TSSetProblemType - Sets the type of problem to be solved.
1891 
1892   Not collective
1893 
1894   Input Parameters:
1895 + ts   - The TS
1896 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1897 .vb
1898          U_t - A U = 0      (linear)
1899          U_t - A(t) U = 0   (linear)
1900          F(t,U,U_t) = 0     (nonlinear)
1901 .ve
1902 
1903    Level: beginner
1904 
1905 .keywords: TS, problem type
1906 .seealso: TSSetUp(), TSProblemType, TS
1907 @*/
1908 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
1909 {
1910   PetscErrorCode ierr;
1911 
1912   PetscFunctionBegin;
1913   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1914   ts->problem_type = type;
1915   if (type == TS_LINEAR) {
1916     SNES snes;
1917     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1918     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
1919   }
1920   PetscFunctionReturn(0);
1921 }
1922 
1923 #undef __FUNCT__
1924 #define __FUNCT__ "TSGetProblemType"
1925 /*@C
1926   TSGetProblemType - Gets the type of problem to be solved.
1927 
1928   Not collective
1929 
1930   Input Parameter:
1931 . ts   - The TS
1932 
1933   Output Parameter:
1934 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
1935 .vb
1936          M U_t = A U
1937          M(t) U_t = A(t) U
1938          F(t,U,U_t)
1939 .ve
1940 
1941    Level: beginner
1942 
1943 .keywords: TS, problem type
1944 .seealso: TSSetUp(), TSProblemType, TS
1945 @*/
1946 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
1947 {
1948   PetscFunctionBegin;
1949   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
1950   PetscValidIntPointer(type,2);
1951   *type = ts->problem_type;
1952   PetscFunctionReturn(0);
1953 }
1954 
1955 #undef __FUNCT__
1956 #define __FUNCT__ "TSSetUp"
1957 /*@
1958    TSSetUp - Sets up the internal data structures for the later use
1959    of a timestepper.
1960 
1961    Collective on TS
1962 
1963    Input Parameter:
1964 .  ts - the TS context obtained from TSCreate()
1965 
1966    Notes:
1967    For basic use of the TS solvers the user need not explicitly call
1968    TSSetUp(), since these actions will automatically occur during
1969    the call to TSStep().  However, if one wishes to control this
1970    phase separately, TSSetUp() should be called after TSCreate()
1971    and optional routines of the form TSSetXXX(), but before TSStep().
1972 
1973    Level: advanced
1974 
1975 .keywords: TS, timestep, setup
1976 
1977 .seealso: TSCreate(), TSStep(), TSDestroy()
1978 @*/
1979 PetscErrorCode  TSSetUp(TS ts)
1980 {
1981   PetscErrorCode ierr;
1982   DM             dm;
1983   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
1984   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
1985   TSIFunction    ifun;
1986   TSIJacobian    ijac;
1987   TSRHSJacobian  rhsjac;
1988 
1989   PetscFunctionBegin;
1990   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1991   if (ts->setupcalled) PetscFunctionReturn(0);
1992 
1993   ts->total_steps = 0;
1994   if (!((PetscObject)ts)->type_name) {
1995     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
1996     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
1997   }
1998 
1999   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2000 
2001   if (ts->rhsjacobian.reuse) {
2002     Mat Amat,Pmat;
2003     SNES snes;
2004     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2005     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2006     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2007      * have displaced the RHS matrix */
2008     if (Amat == ts->Arhs) {
2009       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2010       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2011       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2012     }
2013     if (Pmat == ts->Brhs) {
2014       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2015       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2016       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2017     }
2018   }
2019   if (ts->ops->setup) {
2020     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2021   }
2022 
2023   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2024      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2025    */
2026   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2027   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2028   if (!func) {
2029     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2030   }
2031   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2032      Otherwise, the SNES will use coloring internally to form the Jacobian.
2033    */
2034   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2035   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2036   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2037   if (!jac && (ijac || rhsjac)) {
2038     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2039   }
2040   ts->setupcalled = PETSC_TRUE;
2041   PetscFunctionReturn(0);
2042 }
2043 
2044 #undef __FUNCT__
2045 #define __FUNCT__ "TSAdjointSetUp"
2046 /*@
2047    TSAdjointSetUp - Sets up the internal data structures for the later use
2048    of an adjoint solver
2049 
2050    Collective on TS
2051 
2052    Input Parameter:
2053 .  ts - the TS context obtained from TSCreate()
2054 
2055    Level: advanced
2056 
2057 .keywords: TS, timestep, setup
2058 
2059 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2060 @*/
2061 PetscErrorCode  TSAdjointSetUp(TS ts)
2062 {
2063   PetscErrorCode ierr;
2064 
2065   PetscFunctionBegin;
2066   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2067   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2068   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2069 
2070   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2071     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2072     if (ts->vecs_sensip){
2073       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2074     }
2075   }
2076 
2077   if (ts->ops->adjointsetup) {
2078     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2079   }
2080   ts->adjointsetupcalled = PETSC_TRUE;
2081   PetscFunctionReturn(0);
2082 }
2083 
2084 #undef __FUNCT__
2085 #define __FUNCT__ "TSReset"
2086 /*@
2087    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2088 
2089    Collective on TS
2090 
2091    Input Parameter:
2092 .  ts - the TS context obtained from TSCreate()
2093 
2094    Level: beginner
2095 
2096 .keywords: TS, timestep, reset
2097 
2098 .seealso: TSCreate(), TSSetup(), TSDestroy()
2099 @*/
2100 PetscErrorCode  TSReset(TS ts)
2101 {
2102   PetscErrorCode ierr;
2103 
2104   PetscFunctionBegin;
2105   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2106 
2107   if (ts->ops->reset) {
2108     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2109   }
2110   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2111   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2112 
2113   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2114   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2115   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2116   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2117   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2118   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2119   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2120 
2121  if (ts->vec_costintegral) {
2122     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2123     if (ts->vecs_drdp){
2124       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2125     }
2126   }
2127   ts->vecs_sensi  = NULL;
2128   ts->vecs_sensip = NULL;
2129   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2130   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2131   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2132   ts->setupcalled = PETSC_FALSE;
2133   PetscFunctionReturn(0);
2134 }
2135 
2136 #undef __FUNCT__
2137 #define __FUNCT__ "TSDestroy"
2138 /*@
2139    TSDestroy - Destroys the timestepper context that was created
2140    with TSCreate().
2141 
2142    Collective on TS
2143 
2144    Input Parameter:
2145 .  ts - the TS context obtained from TSCreate()
2146 
2147    Level: beginner
2148 
2149 .keywords: TS, timestepper, destroy
2150 
2151 .seealso: TSCreate(), TSSetUp(), TSSolve()
2152 @*/
2153 PetscErrorCode  TSDestroy(TS *ts)
2154 {
2155   PetscErrorCode ierr;
2156 
2157   PetscFunctionBegin;
2158   if (!*ts) PetscFunctionReturn(0);
2159   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2160   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2161 
2162   ierr = TSReset((*ts));CHKERRQ(ierr);
2163 
2164   /* if memory was published with SAWs then destroy it */
2165   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2166   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2167 
2168   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2169 
2170   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2171   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2172 
2173   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2174   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2175   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2176   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2177 
2178   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2179   PetscFunctionReturn(0);
2180 }
2181 
2182 #undef __FUNCT__
2183 #define __FUNCT__ "TSGetSNES"
2184 /*@
2185    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2186    a TS (timestepper) context. Valid only for nonlinear problems.
2187 
2188    Not Collective, but SNES is parallel if TS is parallel
2189 
2190    Input Parameter:
2191 .  ts - the TS context obtained from TSCreate()
2192 
2193    Output Parameter:
2194 .  snes - the nonlinear solver context
2195 
2196    Notes:
2197    The user can then directly manipulate the SNES context to set various
2198    options, etc.  Likewise, the user can then extract and manipulate the
2199    KSP, KSP, and PC contexts as well.
2200 
2201    TSGetSNES() does not work for integrators that do not use SNES; in
2202    this case TSGetSNES() returns NULL in snes.
2203 
2204    Level: beginner
2205 
2206 .keywords: timestep, get, SNES
2207 @*/
2208 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2209 {
2210   PetscErrorCode ierr;
2211 
2212   PetscFunctionBegin;
2213   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2214   PetscValidPointer(snes,2);
2215   if (!ts->snes) {
2216     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2217     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2218     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2219     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2220     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2221     if (ts->problem_type == TS_LINEAR) {
2222       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2223     }
2224   }
2225   *snes = ts->snes;
2226   PetscFunctionReturn(0);
2227 }
2228 
2229 #undef __FUNCT__
2230 #define __FUNCT__ "TSSetSNES"
2231 /*@
2232    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2233 
2234    Collective
2235 
2236    Input Parameter:
2237 +  ts - the TS context obtained from TSCreate()
2238 -  snes - the nonlinear solver context
2239 
2240    Notes:
2241    Most users should have the TS created by calling TSGetSNES()
2242 
2243    Level: developer
2244 
2245 .keywords: timestep, set, SNES
2246 @*/
2247 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2248 {
2249   PetscErrorCode ierr;
2250   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2251 
2252   PetscFunctionBegin;
2253   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2254   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2255   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2256   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2257 
2258   ts->snes = snes;
2259 
2260   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2261   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2262   if (func == SNESTSFormJacobian) {
2263     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2264   }
2265   PetscFunctionReturn(0);
2266 }
2267 
2268 #undef __FUNCT__
2269 #define __FUNCT__ "TSGetKSP"
2270 /*@
2271    TSGetKSP - Returns the KSP (linear solver) associated with
2272    a TS (timestepper) context.
2273 
2274    Not Collective, but KSP is parallel if TS is parallel
2275 
2276    Input Parameter:
2277 .  ts - the TS context obtained from TSCreate()
2278 
2279    Output Parameter:
2280 .  ksp - the nonlinear solver context
2281 
2282    Notes:
2283    The user can then directly manipulate the KSP context to set various
2284    options, etc.  Likewise, the user can then extract and manipulate the
2285    KSP and PC contexts as well.
2286 
2287    TSGetKSP() does not work for integrators that do not use KSP;
2288    in this case TSGetKSP() returns NULL in ksp.
2289 
2290    Level: beginner
2291 
2292 .keywords: timestep, get, KSP
2293 @*/
2294 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2295 {
2296   PetscErrorCode ierr;
2297   SNES           snes;
2298 
2299   PetscFunctionBegin;
2300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2301   PetscValidPointer(ksp,2);
2302   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2303   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2304   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2305   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2306   PetscFunctionReturn(0);
2307 }
2308 
2309 /* ----------- Routines to set solver parameters ---------- */
2310 
2311 #undef __FUNCT__
2312 #define __FUNCT__ "TSGetDuration"
2313 /*@
2314    TSGetDuration - Gets the maximum number of timesteps to use and
2315    maximum time for iteration.
2316 
2317    Not Collective
2318 
2319    Input Parameters:
2320 +  ts       - the TS context obtained from TSCreate()
2321 .  maxsteps - maximum number of iterations to use, or NULL
2322 -  maxtime  - final time to iterate to, or NULL
2323 
2324    Level: intermediate
2325 
2326 .keywords: TS, timestep, get, maximum, iterations, time
2327 @*/
2328 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2329 {
2330   PetscFunctionBegin;
2331   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2332   if (maxsteps) {
2333     PetscValidIntPointer(maxsteps,2);
2334     *maxsteps = ts->max_steps;
2335   }
2336   if (maxtime) {
2337     PetscValidScalarPointer(maxtime,3);
2338     *maxtime = ts->max_time;
2339   }
2340   PetscFunctionReturn(0);
2341 }
2342 
2343 #undef __FUNCT__
2344 #define __FUNCT__ "TSSetDuration"
2345 /*@
2346    TSSetDuration - Sets the maximum number of timesteps to use and
2347    maximum time for iteration.
2348 
2349    Logically Collective on TS
2350 
2351    Input Parameters:
2352 +  ts - the TS context obtained from TSCreate()
2353 .  maxsteps - maximum number of iterations to use
2354 -  maxtime - final time to iterate to
2355 
2356    Options Database Keys:
2357 .  -ts_max_steps <maxsteps> - Sets maxsteps
2358 .  -ts_final_time <maxtime> - Sets maxtime
2359 
2360    Notes:
2361    The default maximum number of iterations is 5000. Default time is 5.0
2362 
2363    Level: intermediate
2364 
2365 .keywords: TS, timestep, set, maximum, iterations
2366 
2367 .seealso: TSSetExactFinalTime()
2368 @*/
2369 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2370 {
2371   PetscFunctionBegin;
2372   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2373   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2374   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2375   if (maxsteps >= 0) ts->max_steps = maxsteps;
2376   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2377   PetscFunctionReturn(0);
2378 }
2379 
2380 #undef __FUNCT__
2381 #define __FUNCT__ "TSSetSolution"
2382 /*@
2383    TSSetSolution - Sets the initial solution vector
2384    for use by the TS routines.
2385 
2386    Logically Collective on TS and Vec
2387 
2388    Input Parameters:
2389 +  ts - the TS context obtained from TSCreate()
2390 -  u - the solution vector
2391 
2392    Level: beginner
2393 
2394 .keywords: TS, timestep, set, solution, initial conditions
2395 @*/
2396 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2397 {
2398   PetscErrorCode ierr;
2399   DM             dm;
2400 
2401   PetscFunctionBegin;
2402   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2403   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2404   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2405   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2406   ts->vec_sol = u;
2407 
2408   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2409   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2410   PetscFunctionReturn(0);
2411 }
2412 
2413 #undef __FUNCT__
2414 #define __FUNCT__ "TSAdjointSetSteps"
2415 /*@
2416    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2417 
2418    Logically Collective on TS
2419 
2420    Input Parameters:
2421 +  ts - the TS context obtained from TSCreate()
2422 .  steps - number of steps to use
2423 
2424    Level: intermediate
2425 
2426    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2427           so as to integrate back to less than the original timestep
2428 
2429 .keywords: TS, timestep, set, maximum, iterations
2430 
2431 .seealso: TSSetExactFinalTime()
2432 @*/
2433 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2434 {
2435   PetscFunctionBegin;
2436   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2437   PetscValidLogicalCollectiveInt(ts,steps,2);
2438   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2439   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2440   ts->adjoint_max_steps = steps;
2441   PetscFunctionReturn(0);
2442 }
2443 
2444 #undef __FUNCT__
2445 #define __FUNCT__ "TSSetCostGradients"
2446 /*@
2447    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2448       for use by the TSAdjoint routines.
2449 
2450    Logically Collective on TS and Vec
2451 
2452    Input Parameters:
2453 +  ts - the TS context obtained from TSCreate()
2454 .  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
2455 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2456 
2457    Level: beginner
2458 
2459    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2460 
2461 .keywords: TS, timestep, set, sensitivity, initial conditions
2462 @*/
2463 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
2464 {
2465   PetscFunctionBegin;
2466   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2467   PetscValidPointer(lambda,2);
2468   ts->vecs_sensi  = lambda;
2469   ts->vecs_sensip = mu;
2470   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");
2471   ts->numcost  = numcost;
2472   PetscFunctionReturn(0);
2473 }
2474 
2475 #undef __FUNCT__
2476 #define __FUNCT__ "TSAdjointSetRHSJacobian"
2477 /*@C
2478   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.
2479 
2480   Logically Collective on TS
2481 
2482   Input Parameters:
2483 + ts   - The TS context obtained from TSCreate()
2484 - func - The function
2485 
2486   Calling sequence of func:
2487 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
2488 +   t - current timestep
2489 .   y - input vector (current ODE solution)
2490 .   A - output matrix
2491 -   ctx - [optional] user-defined function context
2492 
2493   Level: intermediate
2494 
2495   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
2496 
2497 .keywords: TS, sensitivity
2498 .seealso:
2499 @*/
2500 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
2501 {
2502   PetscErrorCode ierr;
2503 
2504   PetscFunctionBegin;
2505   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2506   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
2507 
2508   ts->rhsjacobianp    = func;
2509   ts->rhsjacobianpctx = ctx;
2510   if(Amat) {
2511     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
2512     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2513     ts->Jacp = Amat;
2514   }
2515   PetscFunctionReturn(0);
2516 }
2517 
2518 #undef __FUNCT__
2519 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
2520 /*@C
2521   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
2522 
2523   Collective on TS
2524 
2525   Input Parameters:
2526 . ts   - The TS context obtained from TSCreate()
2527 
2528   Level: developer
2529 
2530 .keywords: TS, sensitivity
2531 .seealso: TSAdjointSetRHSJacobian()
2532 @*/
2533 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
2534 {
2535   PetscErrorCode ierr;
2536 
2537   PetscFunctionBegin;
2538   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2539   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
2540   PetscValidPointer(Amat,4);
2541 
2542   PetscStackPush("TS user JacobianP function for sensitivity analysis");
2543   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
2544   PetscStackPop;
2545   PetscFunctionReturn(0);
2546 }
2547 
2548 #undef __FUNCT__
2549 #define __FUNCT__ "TSSetCostIntegrand"
2550 /*@C
2551     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
2552 
2553     Logically Collective on TS
2554 
2555     Input Parameters:
2556 +   ts - the TS context obtained from TSCreate()
2557 .   numcost - number of gradients to be computed, this is the number of cost functions
2558 .   rf - routine for evaluating the integrand function
2559 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
2560 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
2561 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
2562 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
2563 
2564     Calling sequence of rf:
2565 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
2566 
2567 +   t - current timestep
2568 .   y - input vector
2569 .   f - function result; one vector entry for each cost function
2570 -   ctx - [optional] user-defined function context
2571 
2572    Calling sequence of drdyf:
2573 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
2574 
2575    Calling sequence of drdpf:
2576 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
2577 
2578     Level: intermediate
2579 
2580     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
2581 
2582 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
2583 
2584 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
2585 @*/
2586 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
2587                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
2588                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
2589                                                           PetscBool fwd,void *ctx)
2590 {
2591   PetscErrorCode ierr;
2592 
2593   PetscFunctionBegin;
2594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2595   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()");
2596   if (!ts->numcost) ts->numcost=numcost;
2597 
2598   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
2599   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
2600   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
2601   ts->costintegrand    = rf;
2602   ts->costintegrandctx = ctx;
2603   ts->drdyfunction     = drdyf;
2604   ts->drdpfunction     = drdpf;
2605   PetscFunctionReturn(0);
2606 }
2607 
2608 #undef __FUNCT__
2609 #define __FUNCT__ "TSGetCostIntegral"
2610 /*@
2611    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
2612    It is valid to call the routine after a backward run.
2613 
2614    Not Collective
2615 
2616    Input Parameter:
2617 .  ts - the TS context obtained from TSCreate()
2618 
2619    Output Parameter:
2620 .  v - the vector containing the integrals for each cost function
2621 
2622    Level: intermediate
2623 
2624 .seealso: TSSetCostIntegrand()
2625 
2626 .keywords: TS, sensitivity analysis
2627 @*/
2628 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
2629 {
2630   PetscFunctionBegin;
2631   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2632   PetscValidPointer(v,2);
2633   *v = ts->vec_costintegral;
2634   PetscFunctionReturn(0);
2635 }
2636 
2637 #undef __FUNCT__
2638 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
2639 /*@
2640    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
2641 
2642    Input Parameters:
2643 +  ts - the TS context
2644 .  t - current time
2645 -  y - state vector, i.e. current solution
2646 
2647    Output Parameter:
2648 .  q - vector of size numcost to hold the outputs
2649 
2650    Note:
2651    Most users should not need to explicitly call this routine, as it
2652    is used internally within the sensitivity analysis context.
2653 
2654    Level: developer
2655 
2656 .keywords: TS, compute
2657 
2658 .seealso: TSSetCostIntegrand()
2659 @*/
2660 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
2661 {
2662   PetscErrorCode ierr;
2663 
2664   PetscFunctionBegin;
2665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2666   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2667   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
2668 
2669   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2670   if (ts->costintegrand) {
2671     PetscStackPush("TS user integrand in the cost function");
2672     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
2673     PetscStackPop;
2674   } else {
2675     ierr = VecZeroEntries(q);CHKERRQ(ierr);
2676   }
2677 
2678   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
2679   PetscFunctionReturn(0);
2680 }
2681 
2682 #undef __FUNCT__
2683 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
2684 /*@
2685   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
2686 
2687   Collective on TS
2688 
2689   Input Parameters:
2690 . ts   - The TS context obtained from TSCreate()
2691 
2692   Notes:
2693   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
2694   so most users would not generally call this routine themselves.
2695 
2696   Level: developer
2697 
2698 .keywords: TS, sensitivity
2699 .seealso: TSAdjointComputeDRDYFunction()
2700 @*/
2701 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
2702 {
2703   PetscErrorCode ierr;
2704 
2705   PetscFunctionBegin;
2706   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2707   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2708 
2709   PetscStackPush("TS user DRDY function for sensitivity analysis");
2710   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
2711   PetscStackPop;
2712   PetscFunctionReturn(0);
2713 }
2714 
2715 #undef __FUNCT__
2716 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
2717 /*@
2718   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
2719 
2720   Collective on TS
2721 
2722   Input Parameters:
2723 . ts   - The TS context obtained from TSCreate()
2724 
2725   Notes:
2726   TSDRDPFunction() is typically used for sensitivity implementation,
2727   so most users would not generally call this routine themselves.
2728 
2729   Level: developer
2730 
2731 .keywords: TS, sensitivity
2732 .seealso: TSAdjointSetDRDPFunction()
2733 @*/
2734 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
2735 {
2736   PetscErrorCode ierr;
2737 
2738   PetscFunctionBegin;
2739   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2740   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
2741 
2742   PetscStackPush("TS user DRDP function for sensitivity analysis");
2743   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
2744   PetscStackPop;
2745   PetscFunctionReturn(0);
2746 }
2747 
2748 #undef __FUNCT__
2749 #define __FUNCT__ "TSSetPreStep"
2750 /*@C
2751   TSSetPreStep - Sets the general-purpose function
2752   called once at the beginning of each time step.
2753 
2754   Logically Collective on TS
2755 
2756   Input Parameters:
2757 + ts   - The TS context obtained from TSCreate()
2758 - func - The function
2759 
2760   Calling sequence of func:
2761 . func (TS ts);
2762 
2763   Level: intermediate
2764 
2765   Note:
2766   If a step is rejected, TSStep() will call this routine again before each attempt.
2767   The last completed time step number can be queried using TSGetTimeStepNumber(), the
2768   size of the step being attempted can be obtained using TSGetTimeStep().
2769 
2770 .keywords: TS, timestep
2771 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
2772 @*/
2773 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
2774 {
2775   PetscFunctionBegin;
2776   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2777   ts->prestep = func;
2778   PetscFunctionReturn(0);
2779 }
2780 
2781 #undef __FUNCT__
2782 #define __FUNCT__ "TSPreStep"
2783 /*@
2784   TSPreStep - Runs the user-defined pre-step function.
2785 
2786   Collective on TS
2787 
2788   Input Parameters:
2789 . ts   - The TS context obtained from TSCreate()
2790 
2791   Notes:
2792   TSPreStep() is typically used within time stepping implementations,
2793   so most users would not generally call this routine themselves.
2794 
2795   Level: developer
2796 
2797 .keywords: TS, timestep
2798 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
2799 @*/
2800 PetscErrorCode  TSPreStep(TS ts)
2801 {
2802   PetscErrorCode ierr;
2803 
2804   PetscFunctionBegin;
2805   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2806   if (ts->prestep) {
2807     PetscStackCallStandard((*ts->prestep),(ts));
2808   }
2809   PetscFunctionReturn(0);
2810 }
2811 
2812 #undef __FUNCT__
2813 #define __FUNCT__ "TSSetPreStage"
2814 /*@C
2815   TSSetPreStage - Sets the general-purpose function
2816   called once at the beginning of each stage.
2817 
2818   Logically Collective on TS
2819 
2820   Input Parameters:
2821 + ts   - The TS context obtained from TSCreate()
2822 - func - The function
2823 
2824   Calling sequence of func:
2825 . PetscErrorCode func(TS ts, PetscReal stagetime);
2826 
2827   Level: intermediate
2828 
2829   Note:
2830   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2831   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2832   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2833 
2834 .keywords: TS, timestep
2835 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2836 @*/
2837 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
2838 {
2839   PetscFunctionBegin;
2840   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2841   ts->prestage = func;
2842   PetscFunctionReturn(0);
2843 }
2844 
2845 #undef __FUNCT__
2846 #define __FUNCT__ "TSSetPostStage"
2847 /*@C
2848   TSSetPostStage - Sets the general-purpose function
2849   called once at the end of each stage.
2850 
2851   Logically Collective on TS
2852 
2853   Input Parameters:
2854 + ts   - The TS context obtained from TSCreate()
2855 - func - The function
2856 
2857   Calling sequence of func:
2858 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
2859 
2860   Level: intermediate
2861 
2862   Note:
2863   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
2864   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
2865   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
2866 
2867 .keywords: TS, timestep
2868 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
2869 @*/
2870 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
2871 {
2872   PetscFunctionBegin;
2873   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2874   ts->poststage = func;
2875   PetscFunctionReturn(0);
2876 }
2877 
2878 #undef __FUNCT__
2879 #define __FUNCT__ "TSPreStage"
2880 /*@
2881   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
2882 
2883   Collective on TS
2884 
2885   Input Parameters:
2886 . ts          - The TS context obtained from TSCreate()
2887   stagetime   - The absolute time of the current stage
2888 
2889   Notes:
2890   TSPreStage() is typically used within time stepping implementations,
2891   most users would not generally call this routine themselves.
2892 
2893   Level: developer
2894 
2895 .keywords: TS, timestep
2896 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2897 @*/
2898 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
2899 {
2900   PetscErrorCode ierr;
2901 
2902   PetscFunctionBegin;
2903   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2904   if (ts->prestage) {
2905     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
2906   }
2907   PetscFunctionReturn(0);
2908 }
2909 
2910 #undef __FUNCT__
2911 #define __FUNCT__ "TSPostStage"
2912 /*@
2913   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
2914 
2915   Collective on TS
2916 
2917   Input Parameters:
2918 . ts          - The TS context obtained from TSCreate()
2919   stagetime   - The absolute time of the current stage
2920   stageindex  - Stage number
2921   Y           - Array of vectors (of size = total number
2922                 of stages) with the stage solutions
2923 
2924   Notes:
2925   TSPostStage() is typically used within time stepping implementations,
2926   most users would not generally call this routine themselves.
2927 
2928   Level: developer
2929 
2930 .keywords: TS, timestep
2931 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
2932 @*/
2933 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
2934 {
2935   PetscErrorCode ierr;
2936 
2937   PetscFunctionBegin;
2938   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2939   if (ts->poststage) {
2940     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
2941   }
2942   PetscFunctionReturn(0);
2943 }
2944 
2945 #undef __FUNCT__
2946 #define __FUNCT__ "TSSetPostStep"
2947 /*@C
2948   TSSetPostStep - Sets the general-purpose function
2949   called once at the end of each time step.
2950 
2951   Logically Collective on TS
2952 
2953   Input Parameters:
2954 + ts   - The TS context obtained from TSCreate()
2955 - func - The function
2956 
2957   Calling sequence of func:
2958 $ func (TS ts);
2959 
2960   Level: intermediate
2961 
2962 .keywords: TS, timestep
2963 .seealso: TSSetPreStep(), TSSetPreStage(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
2964 @*/
2965 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
2966 {
2967   PetscFunctionBegin;
2968   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2969   ts->poststep = func;
2970   PetscFunctionReturn(0);
2971 }
2972 
2973 #undef __FUNCT__
2974 #define __FUNCT__ "TSPostStep"
2975 /*@
2976   TSPostStep - Runs the user-defined post-step function.
2977 
2978   Collective on TS
2979 
2980   Input Parameters:
2981 . ts   - The TS context obtained from TSCreate()
2982 
2983   Notes:
2984   TSPostStep() is typically used within time stepping implementations,
2985   so most users would not generally call this routine themselves.
2986 
2987   Level: developer
2988 
2989 .keywords: TS, timestep
2990 @*/
2991 PetscErrorCode  TSPostStep(TS ts)
2992 {
2993   PetscErrorCode ierr;
2994 
2995   PetscFunctionBegin;
2996   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2997   if (ts->poststep) {
2998     PetscStackCallStandard((*ts->poststep),(ts));
2999   }
3000   PetscFunctionReturn(0);
3001 }
3002 
3003 /* ------------ Routines to set performance monitoring options ----------- */
3004 
3005 #undef __FUNCT__
3006 #define __FUNCT__ "TSMonitorSet"
3007 /*@C
3008    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3009    timestep to display the iteration's  progress.
3010 
3011    Logically Collective on TS
3012 
3013    Input Parameters:
3014 +  ts - the TS context obtained from TSCreate()
3015 .  monitor - monitoring routine
3016 .  mctx - [optional] user-defined context for private data for the
3017              monitor routine (use NULL if no context is desired)
3018 -  monitordestroy - [optional] routine that frees monitor context
3019           (may be NULL)
3020 
3021    Calling sequence of monitor:
3022 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3023 
3024 +    ts - the TS context
3025 .    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)
3026 .    time - current time
3027 .    u - current iterate
3028 -    mctx - [optional] monitoring context
3029 
3030    Notes:
3031    This routine adds an additional monitor to the list of monitors that
3032    already has been loaded.
3033 
3034    Fortran notes: Only a single monitor function can be set for each TS object
3035 
3036    Level: intermediate
3037 
3038 .keywords: TS, timestep, set, monitor
3039 
3040 .seealso: TSMonitorDefault(), TSMonitorCancel()
3041 @*/
3042 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3043 {
3044   PetscFunctionBegin;
3045   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3046   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3047   ts->monitor[ts->numbermonitors]          = monitor;
3048   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3049   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3050   PetscFunctionReturn(0);
3051 }
3052 
3053 #undef __FUNCT__
3054 #define __FUNCT__ "TSMonitorCancel"
3055 /*@C
3056    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3057 
3058    Logically Collective on TS
3059 
3060    Input Parameters:
3061 .  ts - the TS context obtained from TSCreate()
3062 
3063    Notes:
3064    There is no way to remove a single, specific monitor.
3065 
3066    Level: intermediate
3067 
3068 .keywords: TS, timestep, set, monitor
3069 
3070 .seealso: TSMonitorDefault(), TSMonitorSet()
3071 @*/
3072 PetscErrorCode  TSMonitorCancel(TS ts)
3073 {
3074   PetscErrorCode ierr;
3075   PetscInt       i;
3076 
3077   PetscFunctionBegin;
3078   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3079   for (i=0; i<ts->numbermonitors; i++) {
3080     if (ts->monitordestroy[i]) {
3081       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3082     }
3083   }
3084   ts->numbermonitors = 0;
3085   PetscFunctionReturn(0);
3086 }
3087 
3088 #undef __FUNCT__
3089 #define __FUNCT__ "TSMonitorDefault"
3090 /*@C
3091    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3092 
3093    Level: intermediate
3094 
3095 .keywords: TS, set, monitor
3096 
3097 .seealso:  TSMonitorSet()
3098 @*/
3099 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3100 {
3101   PetscErrorCode ierr;
3102   PetscViewer    viewer =  vf->viewer;
3103   PetscBool      iascii,ibinary;
3104 
3105   PetscFunctionBegin;
3106   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3107   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3108   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3109   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3110   if (iascii) {
3111     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3112     if (step == -1){ /* this indicates it is an interpolated solution */
3113       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3114     } else {
3115       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3116     }
3117     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3118   } else if (ibinary) {
3119     PetscMPIInt rank;
3120     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3121     if (!rank) {
3122       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3123     } else {
3124       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3125     }
3126   }
3127   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3128   PetscFunctionReturn(0);
3129 }
3130 
3131 #undef __FUNCT__
3132 #define __FUNCT__ "TSAdjointMonitorSet"
3133 /*@C
3134    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3135    timestep to display the iteration's  progress.
3136 
3137    Logically Collective on TS
3138 
3139    Input Parameters:
3140 +  ts - the TS context obtained from TSCreate()
3141 .  adjointmonitor - monitoring routine
3142 .  adjointmctx - [optional] user-defined context for private data for the
3143              monitor routine (use NULL if no context is desired)
3144 -  adjointmonitordestroy - [optional] routine that frees monitor context
3145           (may be NULL)
3146 
3147    Calling sequence of monitor:
3148 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3149 
3150 +    ts - the TS context
3151 .    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
3152                                been interpolated to)
3153 .    time - current time
3154 .    u - current iterate
3155 .    numcost - number of cost functionos
3156 .    lambda - sensitivities to initial conditions
3157 .    mu - sensitivities to parameters
3158 -    adjointmctx - [optional] adjoint monitoring context
3159 
3160    Notes:
3161    This routine adds an additional monitor to the list of monitors that
3162    already has been loaded.
3163 
3164    Fortran notes: Only a single monitor function can be set for each TS object
3165 
3166    Level: intermediate
3167 
3168 .keywords: TS, timestep, set, adjoint, monitor
3169 
3170 .seealso: TSAdjointMonitorCancel()
3171 @*/
3172 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3173 {
3174   PetscFunctionBegin;
3175   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3176   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3177   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3178   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3179   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3180   PetscFunctionReturn(0);
3181 }
3182 
3183 #undef __FUNCT__
3184 #define __FUNCT__ "TSAdjointMonitorCancel"
3185 /*@C
3186    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3187 
3188    Logically Collective on TS
3189 
3190    Input Parameters:
3191 .  ts - the TS context obtained from TSCreate()
3192 
3193    Notes:
3194    There is no way to remove a single, specific monitor.
3195 
3196    Level: intermediate
3197 
3198 .keywords: TS, timestep, set, adjoint, monitor
3199 
3200 .seealso: TSAdjointMonitorSet()
3201 @*/
3202 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3203 {
3204   PetscErrorCode ierr;
3205   PetscInt       i;
3206 
3207   PetscFunctionBegin;
3208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3209   for (i=0; i<ts->numberadjointmonitors; i++) {
3210     if (ts->adjointmonitordestroy[i]) {
3211       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3212     }
3213   }
3214   ts->numberadjointmonitors = 0;
3215   PetscFunctionReturn(0);
3216 }
3217 
3218 #undef __FUNCT__
3219 #define __FUNCT__ "TSAdjointMonitorDefault"
3220 /*@C
3221    TSAdjointMonitorDefault - the default monitor of adjoint computations
3222 
3223    Level: intermediate
3224 
3225 .keywords: TS, set, monitor
3226 
3227 .seealso: TSAdjointMonitorSet()
3228 @*/
3229 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3230 {
3231   PetscErrorCode ierr;
3232   PetscViewer    viewer = vf->viewer;
3233 
3234   PetscFunctionBegin;
3235   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3236   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3237   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3238   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3239   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3240   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3241   PetscFunctionReturn(0);
3242 }
3243 
3244 #undef __FUNCT__
3245 #define __FUNCT__ "TSInterpolate"
3246 /*@
3247    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3248 
3249    Collective on TS
3250 
3251    Input Argument:
3252 +  ts - time stepping context
3253 -  t - time to interpolate to
3254 
3255    Output Argument:
3256 .  U - state at given time
3257 
3258    Level: intermediate
3259 
3260    Developer Notes:
3261    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3262 
3263 .keywords: TS, set
3264 
3265 .seealso: TSSetExactFinalTime(), TSSolve()
3266 @*/
3267 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3268 {
3269   PetscErrorCode ierr;
3270 
3271   PetscFunctionBegin;
3272   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3273   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3274   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);
3275   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3276   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3277   PetscFunctionReturn(0);
3278 }
3279 
3280 #undef __FUNCT__
3281 #define __FUNCT__ "TSStep"
3282 /*@
3283    TSStep - Steps one time step
3284 
3285    Collective on TS
3286 
3287    Input Parameter:
3288 .  ts - the TS context obtained from TSCreate()
3289 
3290    Level: developer
3291 
3292    Notes:
3293    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3294 
3295    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3296    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3297 
3298    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3299    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3300 
3301 .keywords: TS, timestep, solve
3302 
3303 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3304 @*/
3305 PetscErrorCode  TSStep(TS ts)
3306 {
3307   PetscErrorCode   ierr;
3308   static PetscBool cite = PETSC_FALSE;
3309   PetscReal        ptime;
3310 
3311   PetscFunctionBegin;
3312   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3313   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3314                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3315                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3316                                 "  type        = {Preprint},\n"
3317                                 "  number      = {ANL/MCS-P5061-0114},\n"
3318                                 "  institution = {Argonne National Laboratory},\n"
3319                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3320 
3321   ierr = TSSetUp(ts);CHKERRQ(ierr);
3322   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3323 
3324   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()");
3325   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");
3326 
3327   if (!ts->steps) ts->ptime_prev = ts->ptime;
3328   ts->reason = TS_CONVERGED_ITERATING;
3329   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3330   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3331   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3332   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3333   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3334   ts->ptime_prev = ptime;
3335   ts->steps++; ts->total_steps++;
3336   ts->steprollback = PETSC_FALSE;
3337   ts->steprestart  = PETSC_FALSE;
3338 
3339   if (ts->reason < 0) {
3340     if (ts->errorifstepfailed) {
3341       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]);
3342       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3343     }
3344   } else if (!ts->reason) {
3345     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3346     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3347   }
3348   PetscFunctionReturn(0);
3349 }
3350 
3351 #undef __FUNCT__
3352 #define __FUNCT__ "TSAdjointStep"
3353 /*@
3354    TSAdjointStep - Steps one time step backward in the adjoint run
3355 
3356    Collective on TS
3357 
3358    Input Parameter:
3359 .  ts - the TS context obtained from TSCreate()
3360 
3361    Level: intermediate
3362 
3363 .keywords: TS, adjoint, step
3364 
3365 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3366 @*/
3367 PetscErrorCode  TSAdjointStep(TS ts)
3368 {
3369   DM               dm;
3370   PetscErrorCode   ierr;
3371 
3372   PetscFunctionBegin;
3373   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3374   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3375   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3376 
3377   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
3378 
3379   ts->reason = TS_CONVERGED_ITERATING;
3380   ts->ptime_prev = ts->ptime;
3381   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);
3382   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3383   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
3384   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
3385   ts->steps++; ts->total_steps--;
3386 
3387   if (ts->reason < 0) {
3388     if (ts->errorifstepfailed) {
3389       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]);
3390       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]);
3391       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3392     }
3393   } else if (!ts->reason) {
3394     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
3395   }
3396   PetscFunctionReturn(0);
3397 }
3398 
3399 #undef __FUNCT__
3400 #define __FUNCT__ "TSEvaluateWLTE"
3401 /*@
3402    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
3403    at the end of a time step with a given order of accuracy.
3404 
3405    Collective on TS
3406 
3407    Input Arguments:
3408 +  ts - time stepping context
3409 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
3410 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
3411 
3412    Output Arguments:
3413 +  order - optional, the actual order of the error evaluation
3414 -  wlte - the weighted local truncation error norm
3415 
3416    Level: advanced
3417 
3418    Notes:
3419    If the timestepper cannot evaluate the error in a particular step
3420    (eg. in the first step or restart steps after event handling),
3421    this routine returns wlte=-1.0 .
3422 
3423 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
3424 @*/
3425 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
3426 {
3427   PetscErrorCode ierr;
3428 
3429   PetscFunctionBegin;
3430   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3431   PetscValidType(ts,1);
3432   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
3433   if (order) PetscValidIntPointer(order,3);
3434   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
3435   PetscValidRealPointer(wlte,4);
3436   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
3437   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
3438   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
3439   PetscFunctionReturn(0);
3440 }
3441 
3442 #undef __FUNCT__
3443 #define __FUNCT__ "TSEvaluateStep"
3444 /*@
3445    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
3446 
3447    Collective on TS
3448 
3449    Input Arguments:
3450 +  ts - time stepping context
3451 .  order - desired order of accuracy
3452 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
3453 
3454    Output Arguments:
3455 .  U - state at the end of the current step
3456 
3457    Level: advanced
3458 
3459    Notes:
3460    This function cannot be called until all stages have been evaluated.
3461    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.
3462 
3463 .seealso: TSStep(), TSAdapt
3464 @*/
3465 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
3466 {
3467   PetscErrorCode ierr;
3468 
3469   PetscFunctionBegin;
3470   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3471   PetscValidType(ts,1);
3472   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3473   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3474   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
3475   PetscFunctionReturn(0);
3476 }
3477 
3478 #undef __FUNCT__
3479 #define __FUNCT__ "TSForwardCostIntegral"
3480 /*@
3481  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
3482 
3483  Collective on TS
3484 
3485  Input Arguments:
3486  .  ts - time stepping context
3487 
3488  Level: advanced
3489 
3490  Notes:
3491  This function cannot be called until TSStep() has been completed.
3492 
3493  .seealso: TSSolve(), TSAdjointCostIntegral()
3494  @*/
3495 PetscErrorCode TSForwardCostIntegral(TS ts)
3496 {
3497     PetscErrorCode ierr;
3498     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3499     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);
3500     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
3501     PetscFunctionReturn(0);
3502 }
3503 
3504 #undef __FUNCT__
3505 #define __FUNCT__ "TSSolve"
3506 /*@
3507    TSSolve - Steps the requested number of timesteps.
3508 
3509    Collective on TS
3510 
3511    Input Parameter:
3512 +  ts - the TS context obtained from TSCreate()
3513 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
3514                              otherwise must contain the initial conditions and will contain the solution at the final requested time
3515 
3516    Level: beginner
3517 
3518    Notes:
3519    The final time returned by this function may be different from the time of the internally
3520    held state accessible by TSGetSolution() and TSGetTime() because the method may have
3521    stepped over the final time.
3522 
3523 .keywords: TS, timestep, solve
3524 
3525 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
3526 @*/
3527 PetscErrorCode TSSolve(TS ts,Vec u)
3528 {
3529   Vec               solution;
3530   PetscErrorCode    ierr;
3531 
3532   PetscFunctionBegin;
3533   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3534   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3535 
3536   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 */
3537     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
3538     if (!ts->vec_sol || u == ts->vec_sol) {
3539       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
3540       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
3541       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
3542     }
3543     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
3544   } else if (u) {
3545     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
3546   }
3547   ierr = TSSetUp(ts);CHKERRQ(ierr);
3548   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3549 
3550   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()");
3551   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");
3552 
3553   /* reset time step and iteration counters */
3554   ts->steps             = 0;
3555   ts->ksp_its           = 0;
3556   ts->snes_its          = 0;
3557   ts->num_snes_failures = 0;
3558   ts->reject            = 0;
3559   ts->reason            = TS_CONVERGED_ITERATING;
3560 
3561   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
3562 
3563   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
3564     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
3565     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3566     ts->solvetime = ts->ptime;
3567     solution = ts->vec_sol;
3568   } else { /* Step the requested number of timesteps. */
3569     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3570     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3571     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3572     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3573     ts->steprollback = PETSC_FALSE;
3574     ts->steprestart  = PETSC_TRUE;
3575 
3576     while (!ts->reason) {
3577       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3578       if (!ts->steprollback) {
3579         ierr = TSPreStep(ts);CHKERRQ(ierr);
3580       }
3581       ierr = TSStep(ts);CHKERRQ(ierr);
3582       ierr = TSEventHandler(ts);CHKERRQ(ierr);
3583       if (!ts->steprollback) {
3584         if (ts->vec_costintegral && ts->costintegralfwd) {
3585           ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
3586         }
3587         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3588         ierr = TSPostStep(ts);CHKERRQ(ierr);
3589       }
3590     }
3591     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
3592 
3593     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
3594       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
3595       ts->solvetime = ts->max_time;
3596       solution = u;
3597       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
3598     } else {
3599       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
3600       ts->solvetime = ts->ptime;
3601       solution = ts->vec_sol;
3602     }
3603   }
3604 
3605   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
3606   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
3607   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
3608   if (ts->adjoint_solve) {
3609     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
3610   }
3611   PetscFunctionReturn(0);
3612 }
3613 
3614 #undef __FUNCT__
3615 #define __FUNCT__ "TSAdjointCostIntegral"
3616 /*@
3617  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
3618 
3619  Collective on TS
3620 
3621  Input Arguments:
3622  .  ts - time stepping context
3623 
3624  Level: advanced
3625 
3626  Notes:
3627  This function cannot be called until TSAdjointStep() has been completed.
3628 
3629  .seealso: TSAdjointSolve(), TSAdjointStep
3630  @*/
3631 PetscErrorCode TSAdjointCostIntegral(TS ts)
3632 {
3633     PetscErrorCode ierr;
3634     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3635     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);
3636     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
3637     PetscFunctionReturn(0);
3638 }
3639 
3640 #undef __FUNCT__
3641 #define __FUNCT__ "TSAdjointSolve"
3642 /*@
3643    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
3644 
3645    Collective on TS
3646 
3647    Input Parameter:
3648 .  ts - the TS context obtained from TSCreate()
3649 
3650    Options Database:
3651 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
3652 
3653    Level: intermediate
3654 
3655    Notes:
3656    This must be called after a call to TSSolve() that solves the forward problem
3657 
3658    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
3659 
3660 .keywords: TS, timestep, solve
3661 
3662 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
3663 @*/
3664 PetscErrorCode TSAdjointSolve(TS ts)
3665 {
3666   PetscErrorCode    ierr;
3667 
3668   PetscFunctionBegin;
3669   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3670   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
3671 
3672   /* reset time step and iteration counters */
3673   ts->steps             = 0;
3674   ts->ksp_its           = 0;
3675   ts->snes_its          = 0;
3676   ts->num_snes_failures = 0;
3677   ts->reject            = 0;
3678   ts->reason            = TS_CONVERGED_ITERATING;
3679 
3680   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
3681 
3682   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
3683   while (!ts->reason) {
3684     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3685     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3686     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
3687     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
3688     if (ts->vec_costintegral && !ts->costintegralfwd) {
3689       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
3690     }
3691   }
3692   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
3693   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
3694   ts->solvetime = ts->ptime;
3695   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
3696   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
3697   PetscFunctionReturn(0);
3698 }
3699 
3700 #undef __FUNCT__
3701 #define __FUNCT__ "TSMonitor"
3702 /*@C
3703    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
3704 
3705    Collective on TS
3706 
3707    Input Parameters:
3708 +  ts - time stepping context obtained from TSCreate()
3709 .  step - step number that has just completed
3710 .  ptime - model time of the state
3711 -  u - state at the current model time
3712 
3713    Notes:
3714    TSMonitor() is typically used automatically within the time stepping implementations.
3715    Users would almost never call this routine directly.
3716 
3717    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
3718 
3719    Level: developer
3720 
3721 .keywords: TS, timestep
3722 @*/
3723 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
3724 {
3725   DM             dm;
3726   PetscInt       i,n = ts->numbermonitors;
3727   PetscErrorCode ierr;
3728 
3729   PetscFunctionBegin;
3730   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3731   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3732 
3733   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
3734   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
3735 
3736   ierr = VecLockPush(u);CHKERRQ(ierr);
3737   for (i=0; i<n; i++) {
3738     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
3739   }
3740   ierr = VecLockPop(u);CHKERRQ(ierr);
3741   PetscFunctionReturn(0);
3742 }
3743 
3744 #undef __FUNCT__
3745 #define __FUNCT__ "TSAdjointMonitor"
3746 /*@C
3747    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
3748 
3749    Collective on TS
3750 
3751    Input Parameters:
3752 +  ts - time stepping context obtained from TSCreate()
3753 .  step - step number that has just completed
3754 .  ptime - model time of the state
3755 .  u - state at the current model time
3756 .  numcost - number of cost functions (dimension of lambda  or mu)
3757 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
3758 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
3759 
3760    Notes:
3761    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
3762    Users would almost never call this routine directly.
3763 
3764    Level: developer
3765 
3766 .keywords: TS, timestep
3767 @*/
3768 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
3769 {
3770   PetscErrorCode ierr;
3771   PetscInt       i,n = ts->numberadjointmonitors;
3772 
3773   PetscFunctionBegin;
3774   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3775   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
3776   ierr = VecLockPush(u);CHKERRQ(ierr);
3777   for (i=0; i<n; i++) {
3778     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3779   }
3780   ierr = VecLockPop(u);CHKERRQ(ierr);
3781   PetscFunctionReturn(0);
3782 }
3783 
3784 /* ------------------------------------------------------------------------*/
3785 #undef __FUNCT__
3786 #define __FUNCT__ "TSMonitorLGCtxCreate"
3787 /*@C
3788    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
3789    TS to monitor the solution process graphically in various ways
3790 
3791    Collective on TS
3792 
3793    Input Parameters:
3794 +  host - the X display to open, or null for the local machine
3795 .  label - the title to put in the title bar
3796 .  x, y - the screen coordinates of the upper left coordinate of the window
3797 .  m, n - the screen width and height in pixels
3798 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
3799 
3800    Output Parameter:
3801 .  ctx - the context
3802 
3803    Options Database Key:
3804 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
3805 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
3806 .  -ts_monitor_lg_error -  monitor the error
3807 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
3808 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
3809 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
3810 
3811    Notes:
3812    Use TSMonitorLGCtxDestroy() to destroy.
3813 
3814    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
3815 
3816    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
3817    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
3818    as the first argument.
3819 
3820    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
3821 
3822 
3823    Level: intermediate
3824 
3825 .keywords: TS, monitor, line graph, residual
3826 
3827 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
3828            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
3829            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
3830            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
3831            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
3832 
3833 @*/
3834 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
3835 {
3836   PetscDraw      draw;
3837   PetscErrorCode ierr;
3838 
3839   PetscFunctionBegin;
3840   ierr = PetscNew(ctx);CHKERRQ(ierr);
3841   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
3842   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
3843   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
3844   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
3845   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
3846   (*ctx)->howoften = howoften;
3847   PetscFunctionReturn(0);
3848 }
3849 
3850 #undef __FUNCT__
3851 #define __FUNCT__ "TSMonitorLGTimeStep"
3852 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
3853 {
3854   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
3855   PetscReal      x   = ptime,y;
3856   PetscErrorCode ierr;
3857 
3858   PetscFunctionBegin;
3859   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
3860   if (!step) {
3861     PetscDrawAxis axis;
3862     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
3863     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
3864     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
3865   }
3866   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
3867   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
3868   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
3869     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
3870     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
3871   }
3872   PetscFunctionReturn(0);
3873 }
3874 
3875 #undef __FUNCT__
3876 #define __FUNCT__ "TSMonitorLGCtxDestroy"
3877 /*@C
3878    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
3879    with TSMonitorLGCtxCreate().
3880 
3881    Collective on TSMonitorLGCtx
3882 
3883    Input Parameter:
3884 .  ctx - the monitor context
3885 
3886    Level: intermediate
3887 
3888 .keywords: TS, monitor, line graph, destroy
3889 
3890 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
3891 @*/
3892 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
3893 {
3894   PetscErrorCode ierr;
3895 
3896   PetscFunctionBegin;
3897   if ((*ctx)->transformdestroy) {
3898     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
3899   }
3900   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
3901   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
3902   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
3903   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
3904   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
3905   ierr = PetscFree(*ctx);CHKERRQ(ierr);
3906   PetscFunctionReturn(0);
3907 }
3908 
3909 #undef __FUNCT__
3910 #define __FUNCT__ "TSGetTime"
3911 /*@
3912    TSGetTime - Gets the time of the most recently completed step.
3913 
3914    Not Collective
3915 
3916    Input Parameter:
3917 .  ts - the TS context obtained from TSCreate()
3918 
3919    Output Parameter:
3920 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
3921 
3922    Level: beginner
3923 
3924    Note:
3925    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
3926    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
3927 
3928 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
3929 
3930 .keywords: TS, get, time
3931 @*/
3932 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
3933 {
3934   PetscFunctionBegin;
3935   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3936   PetscValidRealPointer(t,2);
3937   *t = ts->ptime;
3938   PetscFunctionReturn(0);
3939 }
3940 
3941 #undef __FUNCT__
3942 #define __FUNCT__ "TSGetPrevTime"
3943 /*@
3944    TSGetPrevTime - Gets the starting time of the previously completed step.
3945 
3946    Not Collective
3947 
3948    Input Parameter:
3949 .  ts - the TS context obtained from TSCreate()
3950 
3951    Output Parameter:
3952 .  t  - the previous time
3953 
3954    Level: beginner
3955 
3956 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
3957 
3958 .keywords: TS, get, time
3959 @*/
3960 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
3961 {
3962   PetscFunctionBegin;
3963   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3964   PetscValidRealPointer(t,2);
3965   *t = ts->ptime_prev;
3966   PetscFunctionReturn(0);
3967 }
3968 
3969 #undef __FUNCT__
3970 #define __FUNCT__ "TSSetTime"
3971 /*@
3972    TSSetTime - Allows one to reset the time.
3973 
3974    Logically Collective on TS
3975 
3976    Input Parameters:
3977 +  ts - the TS context obtained from TSCreate()
3978 -  time - the time
3979 
3980    Level: intermediate
3981 
3982 .seealso: TSGetTime(), TSSetDuration()
3983 
3984 .keywords: TS, set, time
3985 @*/
3986 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
3987 {
3988   PetscFunctionBegin;
3989   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3990   PetscValidLogicalCollectiveReal(ts,t,2);
3991   ts->ptime = t;
3992   PetscFunctionReturn(0);
3993 }
3994 
3995 #undef __FUNCT__
3996 #define __FUNCT__ "TSSetOptionsPrefix"
3997 /*@C
3998    TSSetOptionsPrefix - Sets the prefix used for searching for all
3999    TS options in the database.
4000 
4001    Logically Collective on TS
4002 
4003    Input Parameter:
4004 +  ts     - The TS context
4005 -  prefix - The prefix to prepend to all option names
4006 
4007    Notes:
4008    A hyphen (-) must NOT be given at the beginning of the prefix name.
4009    The first character of all runtime options is AUTOMATICALLY the
4010    hyphen.
4011 
4012    Level: advanced
4013 
4014 .keywords: TS, set, options, prefix, database
4015 
4016 .seealso: TSSetFromOptions()
4017 
4018 @*/
4019 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4020 {
4021   PetscErrorCode ierr;
4022   SNES           snes;
4023 
4024   PetscFunctionBegin;
4025   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4026   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4027   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4028   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4029   PetscFunctionReturn(0);
4030 }
4031 
4032 
4033 #undef __FUNCT__
4034 #define __FUNCT__ "TSAppendOptionsPrefix"
4035 /*@C
4036    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4037    TS options in the database.
4038 
4039    Logically Collective on TS
4040 
4041    Input Parameter:
4042 +  ts     - The TS context
4043 -  prefix - The prefix to prepend to all option names
4044 
4045    Notes:
4046    A hyphen (-) must NOT be given at the beginning of the prefix name.
4047    The first character of all runtime options is AUTOMATICALLY the
4048    hyphen.
4049 
4050    Level: advanced
4051 
4052 .keywords: TS, append, options, prefix, database
4053 
4054 .seealso: TSGetOptionsPrefix()
4055 
4056 @*/
4057 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4058 {
4059   PetscErrorCode ierr;
4060   SNES           snes;
4061 
4062   PetscFunctionBegin;
4063   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4064   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4065   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4066   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4067   PetscFunctionReturn(0);
4068 }
4069 
4070 #undef __FUNCT__
4071 #define __FUNCT__ "TSGetOptionsPrefix"
4072 /*@C
4073    TSGetOptionsPrefix - Sets the prefix used for searching for all
4074    TS options in the database.
4075 
4076    Not Collective
4077 
4078    Input Parameter:
4079 .  ts - The TS context
4080 
4081    Output Parameter:
4082 .  prefix - A pointer to the prefix string used
4083 
4084    Notes: On the fortran side, the user should pass in a string 'prifix' of
4085    sufficient length to hold the prefix.
4086 
4087    Level: intermediate
4088 
4089 .keywords: TS, get, options, prefix, database
4090 
4091 .seealso: TSAppendOptionsPrefix()
4092 @*/
4093 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4094 {
4095   PetscErrorCode ierr;
4096 
4097   PetscFunctionBegin;
4098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4099   PetscValidPointer(prefix,2);
4100   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4101   PetscFunctionReturn(0);
4102 }
4103 
4104 #undef __FUNCT__
4105 #define __FUNCT__ "TSGetRHSJacobian"
4106 /*@C
4107    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4108 
4109    Not Collective, but parallel objects are returned if TS is parallel
4110 
4111    Input Parameter:
4112 .  ts  - The TS context obtained from TSCreate()
4113 
4114    Output Parameters:
4115 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4116 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4117 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4118 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4119 
4120    Notes: You can pass in NULL for any return argument you do not need.
4121 
4122    Level: intermediate
4123 
4124 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4125 
4126 .keywords: TS, timestep, get, matrix, Jacobian
4127 @*/
4128 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4129 {
4130   PetscErrorCode ierr;
4131   SNES           snes;
4132   DM             dm;
4133 
4134   PetscFunctionBegin;
4135   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4136   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4137   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4138   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4139   PetscFunctionReturn(0);
4140 }
4141 
4142 #undef __FUNCT__
4143 #define __FUNCT__ "TSGetIJacobian"
4144 /*@C
4145    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4146 
4147    Not Collective, but parallel objects are returned if TS is parallel
4148 
4149    Input Parameter:
4150 .  ts  - The TS context obtained from TSCreate()
4151 
4152    Output Parameters:
4153 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4154 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4155 .  f   - The function to compute the matrices
4156 - ctx - User-defined context for Jacobian evaluation routine
4157 
4158    Notes: You can pass in NULL for any return argument you do not need.
4159 
4160    Level: advanced
4161 
4162 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4163 
4164 .keywords: TS, timestep, get, matrix, Jacobian
4165 @*/
4166 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4167 {
4168   PetscErrorCode ierr;
4169   SNES           snes;
4170   DM             dm;
4171 
4172   PetscFunctionBegin;
4173   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4174   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4175   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4176   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4177   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4178   PetscFunctionReturn(0);
4179 }
4180 
4181 
4182 #undef __FUNCT__
4183 #define __FUNCT__ "TSMonitorDrawSolution"
4184 /*@C
4185    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4186    VecView() for the solution at each timestep
4187 
4188    Collective on TS
4189 
4190    Input Parameters:
4191 +  ts - the TS context
4192 .  step - current time-step
4193 .  ptime - current time
4194 -  dummy - either a viewer or NULL
4195 
4196    Options Database:
4197 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4198 
4199    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4200        will look bad
4201 
4202    Level: intermediate
4203 
4204 .keywords: TS,  vector, monitor, view
4205 
4206 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4207 @*/
4208 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4209 {
4210   PetscErrorCode   ierr;
4211   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4212   PetscDraw        draw;
4213 
4214   PetscFunctionBegin;
4215   if (!step && ictx->showinitial) {
4216     if (!ictx->initialsolution) {
4217       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4218     }
4219     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4220   }
4221   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4222 
4223   if (ictx->showinitial) {
4224     PetscReal pause;
4225     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4226     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4227     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4228     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4229     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4230   }
4231   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4232   if (ictx->showtimestepandtime) {
4233     PetscReal xl,yl,xr,yr,h;
4234     char      time[32];
4235 
4236     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4237     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4238     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4239     h    = yl + .95*(yr - yl);
4240     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4241     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4242   }
4243 
4244   if (ictx->showinitial) {
4245     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4246   }
4247   PetscFunctionReturn(0);
4248 }
4249 
4250 #undef __FUNCT__
4251 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4252 /*@C
4253    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4254    VecView() for the sensitivities to initial states at each timestep
4255 
4256    Collective on TS
4257 
4258    Input Parameters:
4259 +  ts - the TS context
4260 .  step - current time-step
4261 .  ptime - current time
4262 .  u - current state
4263 .  numcost - number of cost functions
4264 .  lambda - sensitivities to initial conditions
4265 .  mu - sensitivities to parameters
4266 -  dummy - either a viewer or NULL
4267 
4268    Level: intermediate
4269 
4270 .keywords: TS,  vector, adjoint, monitor, view
4271 
4272 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4273 @*/
4274 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4275 {
4276   PetscErrorCode   ierr;
4277   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4278   PetscDraw        draw;
4279   PetscReal        xl,yl,xr,yr,h;
4280   char             time[32];
4281 
4282   PetscFunctionBegin;
4283   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4284 
4285   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4286   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4287   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4288   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4289   h    = yl + .95*(yr - yl);
4290   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4291   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4292   PetscFunctionReturn(0);
4293 }
4294 
4295 #undef __FUNCT__
4296 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4297 /*@C
4298    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4299 
4300    Collective on TS
4301 
4302    Input Parameters:
4303 +  ts - the TS context
4304 .  step - current time-step
4305 .  ptime - current time
4306 -  dummy - either a viewer or NULL
4307 
4308    Level: intermediate
4309 
4310 .keywords: TS,  vector, monitor, view
4311 
4312 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4313 @*/
4314 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4315 {
4316   PetscErrorCode    ierr;
4317   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4318   PetscDraw         draw;
4319   PetscDrawAxis     axis;
4320   PetscInt          n;
4321   PetscMPIInt       size;
4322   PetscReal         U0,U1,xl,yl,xr,yr,h;
4323   char              time[32];
4324   const PetscScalar *U;
4325 
4326   PetscFunctionBegin;
4327   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4328   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4329   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4330   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4331 
4332   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4333   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4334   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4335   if (!step) {
4336     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4337     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4338   }
4339 
4340   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4341   U0 = PetscRealPart(U[0]);
4342   U1 = PetscRealPart(U[1]);
4343   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4344   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4345 
4346   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4347   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4348   if (ictx->showtimestepandtime) {
4349     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4350     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4351     h    = yl + .95*(yr - yl);
4352     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4353   }
4354   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4355   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4356   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4357   PetscFunctionReturn(0);
4358 }
4359 
4360 
4361 #undef __FUNCT__
4362 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4363 /*@C
4364    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4365 
4366    Collective on TS
4367 
4368    Input Parameters:
4369 .    ctx - the monitor context
4370 
4371    Level: intermediate
4372 
4373 .keywords: TS,  vector, monitor, view
4374 
4375 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
4376 @*/
4377 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
4378 {
4379   PetscErrorCode ierr;
4380 
4381   PetscFunctionBegin;
4382   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
4383   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
4384   ierr = PetscFree(*ictx);CHKERRQ(ierr);
4385   PetscFunctionReturn(0);
4386 }
4387 
4388 #undef __FUNCT__
4389 #define __FUNCT__ "TSMonitorDrawCtxCreate"
4390 /*@C
4391    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
4392 
4393    Collective on TS
4394 
4395    Input Parameter:
4396 .    ts - time-step context
4397 
4398    Output Patameter:
4399 .    ctx - the monitor context
4400 
4401    Options Database:
4402 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4403 
4404    Level: intermediate
4405 
4406 .keywords: TS,  vector, monitor, view
4407 
4408 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
4409 @*/
4410 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
4411 {
4412   PetscErrorCode   ierr;
4413 
4414   PetscFunctionBegin;
4415   ierr = PetscNew(ctx);CHKERRQ(ierr);
4416   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
4417   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
4418 
4419   (*ctx)->howoften    = howoften;
4420   (*ctx)->showinitial = PETSC_FALSE;
4421   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
4422 
4423   (*ctx)->showtimestepandtime = PETSC_FALSE;
4424   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
4425   PetscFunctionReturn(0);
4426 }
4427 
4428 #undef __FUNCT__
4429 #define __FUNCT__ "TSMonitorDrawError"
4430 /*@C
4431    TSMonitorDrawError - Monitors progress of the TS solvers by calling
4432    VecView() for the error at each timestep
4433 
4434    Collective on TS
4435 
4436    Input Parameters:
4437 +  ts - the TS context
4438 .  step - current time-step
4439 .  ptime - current time
4440 -  dummy - either a viewer or NULL
4441 
4442    Level: intermediate
4443 
4444 .keywords: TS,  vector, monitor, view
4445 
4446 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4447 @*/
4448 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4449 {
4450   PetscErrorCode   ierr;
4451   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
4452   PetscViewer      viewer = ctx->viewer;
4453   Vec              work;
4454 
4455   PetscFunctionBegin;
4456   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4457   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
4458   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
4459   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
4460   ierr = VecView(work,viewer);CHKERRQ(ierr);
4461   ierr = VecDestroy(&work);CHKERRQ(ierr);
4462   PetscFunctionReturn(0);
4463 }
4464 
4465 #include <petsc/private/dmimpl.h>
4466 #undef __FUNCT__
4467 #define __FUNCT__ "TSSetDM"
4468 /*@
4469    TSSetDM - Sets the DM that may be used by some preconditioners
4470 
4471    Logically Collective on TS and DM
4472 
4473    Input Parameters:
4474 +  ts - the preconditioner context
4475 -  dm - the dm
4476 
4477    Level: intermediate
4478 
4479 
4480 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
4481 @*/
4482 PetscErrorCode  TSSetDM(TS ts,DM dm)
4483 {
4484   PetscErrorCode ierr;
4485   SNES           snes;
4486   DMTS           tsdm;
4487 
4488   PetscFunctionBegin;
4489   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4490   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
4491   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
4492     if (ts->dm->dmts && !dm->dmts) {
4493       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
4494       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
4495       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
4496         tsdm->originaldm = dm;
4497       }
4498     }
4499     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
4500   }
4501   ts->dm = dm;
4502 
4503   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4504   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
4505   PetscFunctionReturn(0);
4506 }
4507 
4508 #undef __FUNCT__
4509 #define __FUNCT__ "TSGetDM"
4510 /*@
4511    TSGetDM - Gets the DM that may be used by some preconditioners
4512 
4513    Not Collective
4514 
4515    Input Parameter:
4516 . ts - the preconditioner context
4517 
4518    Output Parameter:
4519 .  dm - the dm
4520 
4521    Level: intermediate
4522 
4523 
4524 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
4525 @*/
4526 PetscErrorCode  TSGetDM(TS ts,DM *dm)
4527 {
4528   PetscErrorCode ierr;
4529 
4530   PetscFunctionBegin;
4531   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4532   if (!ts->dm) {
4533     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
4534     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
4535   }
4536   *dm = ts->dm;
4537   PetscFunctionReturn(0);
4538 }
4539 
4540 #undef __FUNCT__
4541 #define __FUNCT__ "SNESTSFormFunction"
4542 /*@
4543    SNESTSFormFunction - Function to evaluate nonlinear residual
4544 
4545    Logically Collective on SNES
4546 
4547    Input Parameter:
4548 + snes - nonlinear solver
4549 . U - the current state at which to evaluate the residual
4550 - ctx - user context, must be a TS
4551 
4552    Output Parameter:
4553 . F - the nonlinear residual
4554 
4555    Notes:
4556    This function is not normally called by users and is automatically registered with the SNES used by TS.
4557    It is most frequently passed to MatFDColoringSetFunction().
4558 
4559    Level: advanced
4560 
4561 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
4562 @*/
4563 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
4564 {
4565   TS             ts = (TS)ctx;
4566   PetscErrorCode ierr;
4567 
4568   PetscFunctionBegin;
4569   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4570   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4571   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
4572   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
4573   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
4574   PetscFunctionReturn(0);
4575 }
4576 
4577 #undef __FUNCT__
4578 #define __FUNCT__ "SNESTSFormJacobian"
4579 /*@
4580    SNESTSFormJacobian - Function to evaluate the Jacobian
4581 
4582    Collective on SNES
4583 
4584    Input Parameter:
4585 + snes - nonlinear solver
4586 . U - the current state at which to evaluate the residual
4587 - ctx - user context, must be a TS
4588 
4589    Output Parameter:
4590 + A - the Jacobian
4591 . B - the preconditioning matrix (may be the same as A)
4592 - flag - indicates any structure change in the matrix
4593 
4594    Notes:
4595    This function is not normally called by users and is automatically registered with the SNES used by TS.
4596 
4597    Level: developer
4598 
4599 .seealso: SNESSetJacobian()
4600 @*/
4601 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
4602 {
4603   TS             ts = (TS)ctx;
4604   PetscErrorCode ierr;
4605 
4606   PetscFunctionBegin;
4607   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
4608   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
4609   PetscValidPointer(A,3);
4610   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
4611   PetscValidPointer(B,4);
4612   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
4613   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
4614   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
4615   PetscFunctionReturn(0);
4616 }
4617 
4618 #undef __FUNCT__
4619 #define __FUNCT__ "TSComputeRHSFunctionLinear"
4620 /*@C
4621    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
4622 
4623    Collective on TS
4624 
4625    Input Arguments:
4626 +  ts - time stepping context
4627 .  t - time at which to evaluate
4628 .  U - state at which to evaluate
4629 -  ctx - context
4630 
4631    Output Arguments:
4632 .  F - right hand side
4633 
4634    Level: intermediate
4635 
4636    Notes:
4637    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
4638    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
4639 
4640 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
4641 @*/
4642 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
4643 {
4644   PetscErrorCode ierr;
4645   Mat            Arhs,Brhs;
4646 
4647   PetscFunctionBegin;
4648   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
4649   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
4650   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
4651   PetscFunctionReturn(0);
4652 }
4653 
4654 #undef __FUNCT__
4655 #define __FUNCT__ "TSComputeRHSJacobianConstant"
4656 /*@C
4657    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
4658 
4659    Collective on TS
4660 
4661    Input Arguments:
4662 +  ts - time stepping context
4663 .  t - time at which to evaluate
4664 .  U - state at which to evaluate
4665 -  ctx - context
4666 
4667    Output Arguments:
4668 +  A - pointer to operator
4669 .  B - pointer to preconditioning matrix
4670 -  flg - matrix structure flag
4671 
4672    Level: intermediate
4673 
4674    Notes:
4675    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
4676 
4677 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
4678 @*/
4679 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
4680 {
4681   PetscFunctionBegin;
4682   PetscFunctionReturn(0);
4683 }
4684 
4685 #undef __FUNCT__
4686 #define __FUNCT__ "TSComputeIFunctionLinear"
4687 /*@C
4688    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
4689 
4690    Collective on TS
4691 
4692    Input Arguments:
4693 +  ts - time stepping context
4694 .  t - time at which to evaluate
4695 .  U - state at which to evaluate
4696 .  Udot - time derivative of state vector
4697 -  ctx - context
4698 
4699    Output Arguments:
4700 .  F - left hand side
4701 
4702    Level: intermediate
4703 
4704    Notes:
4705    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
4706    user is required to write their own TSComputeIFunction.
4707    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
4708    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
4709 
4710    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
4711 
4712 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
4713 @*/
4714 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
4715 {
4716   PetscErrorCode ierr;
4717   Mat            A,B;
4718 
4719   PetscFunctionBegin;
4720   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
4721   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
4722   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
4723   PetscFunctionReturn(0);
4724 }
4725 
4726 #undef __FUNCT__
4727 #define __FUNCT__ "TSComputeIJacobianConstant"
4728 /*@C
4729    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
4730 
4731    Collective on TS
4732 
4733    Input Arguments:
4734 +  ts - time stepping context
4735 .  t - time at which to evaluate
4736 .  U - state at which to evaluate
4737 .  Udot - time derivative of state vector
4738 .  shift - shift to apply
4739 -  ctx - context
4740 
4741    Output Arguments:
4742 +  A - pointer to operator
4743 .  B - pointer to preconditioning matrix
4744 -  flg - matrix structure flag
4745 
4746    Level: advanced
4747 
4748    Notes:
4749    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
4750 
4751    It is only appropriate for problems of the form
4752 
4753 $     M Udot = F(U,t)
4754 
4755   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
4756   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
4757   an implicit operator of the form
4758 
4759 $    shift*M + J
4760 
4761   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
4762   a copy of M or reassemble it when requested.
4763 
4764 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
4765 @*/
4766 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
4767 {
4768   PetscErrorCode ierr;
4769 
4770   PetscFunctionBegin;
4771   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
4772   ts->ijacobian.shift = shift;
4773   PetscFunctionReturn(0);
4774 }
4775 
4776 #undef __FUNCT__
4777 #define __FUNCT__ "TSGetEquationType"
4778 /*@
4779    TSGetEquationType - Gets the type of the equation that TS is solving.
4780 
4781    Not Collective
4782 
4783    Input Parameter:
4784 .  ts - the TS context
4785 
4786    Output Parameter:
4787 .  equation_type - see TSEquationType
4788 
4789    Level: beginner
4790 
4791 .keywords: TS, equation type
4792 
4793 .seealso: TSSetEquationType(), TSEquationType
4794 @*/
4795 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
4796 {
4797   PetscFunctionBegin;
4798   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4799   PetscValidPointer(equation_type,2);
4800   *equation_type = ts->equation_type;
4801   PetscFunctionReturn(0);
4802 }
4803 
4804 #undef __FUNCT__
4805 #define __FUNCT__ "TSSetEquationType"
4806 /*@
4807    TSSetEquationType - Sets the type of the equation that TS is solving.
4808 
4809    Not Collective
4810 
4811    Input Parameter:
4812 +  ts - the TS context
4813 -  equation_type - see TSEquationType
4814 
4815    Level: advanced
4816 
4817 .keywords: TS, equation type
4818 
4819 .seealso: TSGetEquationType(), TSEquationType
4820 @*/
4821 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
4822 {
4823   PetscFunctionBegin;
4824   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4825   ts->equation_type = equation_type;
4826   PetscFunctionReturn(0);
4827 }
4828 
4829 #undef __FUNCT__
4830 #define __FUNCT__ "TSGetConvergedReason"
4831 /*@
4832    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
4833 
4834    Not Collective
4835 
4836    Input Parameter:
4837 .  ts - the TS context
4838 
4839    Output Parameter:
4840 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4841             manual pages for the individual convergence tests for complete lists
4842 
4843    Level: beginner
4844 
4845    Notes:
4846    Can only be called after the call to TSSolve() is complete.
4847 
4848 .keywords: TS, nonlinear, set, convergence, test
4849 
4850 .seealso: TSSetConvergenceTest(), TSConvergedReason
4851 @*/
4852 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
4853 {
4854   PetscFunctionBegin;
4855   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4856   PetscValidPointer(reason,2);
4857   *reason = ts->reason;
4858   PetscFunctionReturn(0);
4859 }
4860 
4861 #undef __FUNCT__
4862 #define __FUNCT__ "TSSetConvergedReason"
4863 /*@
4864    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
4865 
4866    Not Collective
4867 
4868    Input Parameter:
4869 +  ts - the TS context
4870 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
4871             manual pages for the individual convergence tests for complete lists
4872 
4873    Level: advanced
4874 
4875    Notes:
4876    Can only be called during TSSolve() is active.
4877 
4878 .keywords: TS, nonlinear, set, convergence, test
4879 
4880 .seealso: TSConvergedReason
4881 @*/
4882 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
4883 {
4884   PetscFunctionBegin;
4885   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4886   ts->reason = reason;
4887   PetscFunctionReturn(0);
4888 }
4889 
4890 #undef __FUNCT__
4891 #define __FUNCT__ "TSGetSolveTime"
4892 /*@
4893    TSGetSolveTime - Gets the time after a call to TSSolve()
4894 
4895    Not Collective
4896 
4897    Input Parameter:
4898 .  ts - the TS context
4899 
4900    Output Parameter:
4901 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
4902 
4903    Level: beginner
4904 
4905    Notes:
4906    Can only be called after the call to TSSolve() is complete.
4907 
4908 .keywords: TS, nonlinear, set, convergence, test
4909 
4910 .seealso: TSSetConvergenceTest(), TSConvergedReason
4911 @*/
4912 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
4913 {
4914   PetscFunctionBegin;
4915   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4916   PetscValidPointer(ftime,2);
4917   *ftime = ts->solvetime;
4918   PetscFunctionReturn(0);
4919 }
4920 
4921 #undef __FUNCT__
4922 #define __FUNCT__ "TSGetTotalSteps"
4923 /*@
4924    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
4925 
4926    Not Collective
4927 
4928    Input Parameter:
4929 .  ts - the TS context
4930 
4931    Output Parameter:
4932 .  steps - the number of steps
4933 
4934    Level: beginner
4935 
4936    Notes:
4937    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
4938 
4939 .keywords: TS, nonlinear, set, convergence, test
4940 
4941 .seealso: TSSetConvergenceTest(), TSConvergedReason
4942 @*/
4943 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
4944 {
4945   PetscFunctionBegin;
4946   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4947   PetscValidPointer(steps,2);
4948   *steps = ts->total_steps;
4949   PetscFunctionReturn(0);
4950 }
4951 
4952 #undef __FUNCT__
4953 #define __FUNCT__ "TSGetSNESIterations"
4954 /*@
4955    TSGetSNESIterations - Gets the total number of nonlinear iterations
4956    used by the time integrator.
4957 
4958    Not Collective
4959 
4960    Input Parameter:
4961 .  ts - TS context
4962 
4963    Output Parameter:
4964 .  nits - number of nonlinear iterations
4965 
4966    Notes:
4967    This counter is reset to zero for each successive call to TSSolve().
4968 
4969    Level: intermediate
4970 
4971 .keywords: TS, get, number, nonlinear, iterations
4972 
4973 .seealso:  TSGetKSPIterations()
4974 @*/
4975 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
4976 {
4977   PetscFunctionBegin;
4978   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4979   PetscValidIntPointer(nits,2);
4980   *nits = ts->snes_its;
4981   PetscFunctionReturn(0);
4982 }
4983 
4984 #undef __FUNCT__
4985 #define __FUNCT__ "TSGetKSPIterations"
4986 /*@
4987    TSGetKSPIterations - Gets the total number of linear iterations
4988    used by the time integrator.
4989 
4990    Not Collective
4991 
4992    Input Parameter:
4993 .  ts - TS context
4994 
4995    Output Parameter:
4996 .  lits - number of linear iterations
4997 
4998    Notes:
4999    This counter is reset to zero for each successive call to TSSolve().
5000 
5001    Level: intermediate
5002 
5003 .keywords: TS, get, number, linear, iterations
5004 
5005 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5006 @*/
5007 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5008 {
5009   PetscFunctionBegin;
5010   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5011   PetscValidIntPointer(lits,2);
5012   *lits = ts->ksp_its;
5013   PetscFunctionReturn(0);
5014 }
5015 
5016 #undef __FUNCT__
5017 #define __FUNCT__ "TSGetStepRejections"
5018 /*@
5019    TSGetStepRejections - Gets the total number of rejected steps.
5020 
5021    Not Collective
5022 
5023    Input Parameter:
5024 .  ts - TS context
5025 
5026    Output Parameter:
5027 .  rejects - number of steps rejected
5028 
5029    Notes:
5030    This counter is reset to zero for each successive call to TSSolve().
5031 
5032    Level: intermediate
5033 
5034 .keywords: TS, get, number
5035 
5036 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5037 @*/
5038 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5039 {
5040   PetscFunctionBegin;
5041   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5042   PetscValidIntPointer(rejects,2);
5043   *rejects = ts->reject;
5044   PetscFunctionReturn(0);
5045 }
5046 
5047 #undef __FUNCT__
5048 #define __FUNCT__ "TSGetSNESFailures"
5049 /*@
5050    TSGetSNESFailures - Gets the total number of failed SNES solves
5051 
5052    Not Collective
5053 
5054    Input Parameter:
5055 .  ts - TS context
5056 
5057    Output Parameter:
5058 .  fails - number of failed nonlinear solves
5059 
5060    Notes:
5061    This counter is reset to zero for each successive call to TSSolve().
5062 
5063    Level: intermediate
5064 
5065 .keywords: TS, get, number
5066 
5067 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5068 @*/
5069 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5070 {
5071   PetscFunctionBegin;
5072   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5073   PetscValidIntPointer(fails,2);
5074   *fails = ts->num_snes_failures;
5075   PetscFunctionReturn(0);
5076 }
5077 
5078 #undef __FUNCT__
5079 #define __FUNCT__ "TSSetMaxStepRejections"
5080 /*@
5081    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5082 
5083    Not Collective
5084 
5085    Input Parameter:
5086 +  ts - TS context
5087 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5088 
5089    Notes:
5090    The counter is reset to zero for each step
5091 
5092    Options Database Key:
5093  .  -ts_max_reject - Maximum number of step rejections before a step fails
5094 
5095    Level: intermediate
5096 
5097 .keywords: TS, set, maximum, number
5098 
5099 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5100 @*/
5101 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5102 {
5103   PetscFunctionBegin;
5104   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5105   ts->max_reject = rejects;
5106   PetscFunctionReturn(0);
5107 }
5108 
5109 #undef __FUNCT__
5110 #define __FUNCT__ "TSSetMaxSNESFailures"
5111 /*@
5112    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5113 
5114    Not Collective
5115 
5116    Input Parameter:
5117 +  ts - TS context
5118 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5119 
5120    Notes:
5121    The counter is reset to zero for each successive call to TSSolve().
5122 
5123    Options Database Key:
5124  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5125 
5126    Level: intermediate
5127 
5128 .keywords: TS, set, maximum, number
5129 
5130 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5131 @*/
5132 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5133 {
5134   PetscFunctionBegin;
5135   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5136   ts->max_snes_failures = fails;
5137   PetscFunctionReturn(0);
5138 }
5139 
5140 #undef __FUNCT__
5141 #define __FUNCT__ "TSSetErrorIfStepFails"
5142 /*@
5143    TSSetErrorIfStepFails - Error if no step succeeds
5144 
5145    Not Collective
5146 
5147    Input Parameter:
5148 +  ts - TS context
5149 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5150 
5151    Options Database Key:
5152  .  -ts_error_if_step_fails - Error if no step succeeds
5153 
5154    Level: intermediate
5155 
5156 .keywords: TS, set, error
5157 
5158 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5159 @*/
5160 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5161 {
5162   PetscFunctionBegin;
5163   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5164   ts->errorifstepfailed = err;
5165   PetscFunctionReturn(0);
5166 }
5167 
5168 #undef __FUNCT__
5169 #define __FUNCT__ "TSMonitorSolution"
5170 /*@C
5171    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
5172 
5173    Collective on TS
5174 
5175    Input Parameters:
5176 +  ts - the TS context
5177 .  step - current time-step
5178 .  ptime - current time
5179 .  u - current state
5180 -  vf - viewer and its format
5181 
5182    Level: intermediate
5183 
5184 .keywords: TS,  vector, monitor, view
5185 
5186 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5187 @*/
5188 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5189 {
5190   PetscErrorCode ierr;
5191 
5192   PetscFunctionBegin;
5193   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5194   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5195   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5196   PetscFunctionReturn(0);
5197 }
5198 
5199 #undef __FUNCT__
5200 #define __FUNCT__ "TSMonitorSolutionVTK"
5201 /*@C
5202    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5203 
5204    Collective on TS
5205 
5206    Input Parameters:
5207 +  ts - the TS context
5208 .  step - current time-step
5209 .  ptime - current time
5210 .  u - current state
5211 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5212 
5213    Level: intermediate
5214 
5215    Notes:
5216    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.
5217    These are named according to the file name template.
5218 
5219    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5220 
5221 .keywords: TS,  vector, monitor, view
5222 
5223 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5224 @*/
5225 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5226 {
5227   PetscErrorCode ierr;
5228   char           filename[PETSC_MAX_PATH_LEN];
5229   PetscViewer    viewer;
5230 
5231   PetscFunctionBegin;
5232   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5233   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5234   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5235   ierr = VecView(u,viewer);CHKERRQ(ierr);
5236   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5237   PetscFunctionReturn(0);
5238 }
5239 
5240 #undef __FUNCT__
5241 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5242 /*@C
5243    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5244 
5245    Collective on TS
5246 
5247    Input Parameters:
5248 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5249 
5250    Level: intermediate
5251 
5252    Note:
5253    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5254 
5255 .keywords: TS,  vector, monitor, view
5256 
5257 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5258 @*/
5259 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5260 {
5261   PetscErrorCode ierr;
5262 
5263   PetscFunctionBegin;
5264   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5265   PetscFunctionReturn(0);
5266 }
5267 
5268 #undef __FUNCT__
5269 #define __FUNCT__ "TSGetAdapt"
5270 /*@
5271    TSGetAdapt - Get the adaptive controller context for the current method
5272 
5273    Collective on TS if controller has not been created yet
5274 
5275    Input Arguments:
5276 .  ts - time stepping context
5277 
5278    Output Arguments:
5279 .  adapt - adaptive controller
5280 
5281    Level: intermediate
5282 
5283 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5284 @*/
5285 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5286 {
5287   PetscErrorCode ierr;
5288 
5289   PetscFunctionBegin;
5290   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5291   PetscValidPointer(adapt,2);
5292   if (!ts->adapt) {
5293     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5294     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5295     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5296   }
5297   *adapt = ts->adapt;
5298   PetscFunctionReturn(0);
5299 }
5300 
5301 #undef __FUNCT__
5302 #define __FUNCT__ "TSSetTolerances"
5303 /*@
5304    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5305 
5306    Logically Collective
5307 
5308    Input Arguments:
5309 +  ts - time integration context
5310 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5311 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5312 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5313 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5314 
5315    Options Database keys:
5316 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5317 -  -ts_atol <atol> Absolute tolerance for local truncation error
5318 
5319    Notes:
5320    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5321    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5322    computed only for the differential or the algebraic part then this can be done using the vector of
5323    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5324    differential part and infinity for the algebraic part, the LTE calculation will include only the
5325    differential variables.
5326 
5327    Level: beginner
5328 
5329 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5330 @*/
5331 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5332 {
5333   PetscErrorCode ierr;
5334 
5335   PetscFunctionBegin;
5336   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5337   if (vatol) {
5338     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5339     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5340     ts->vatol = vatol;
5341   }
5342   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5343   if (vrtol) {
5344     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5345     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5346     ts->vrtol = vrtol;
5347   }
5348   PetscFunctionReturn(0);
5349 }
5350 
5351 #undef __FUNCT__
5352 #define __FUNCT__ "TSGetTolerances"
5353 /*@
5354    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5355 
5356    Logically Collective
5357 
5358    Input Arguments:
5359 .  ts - time integration context
5360 
5361    Output Arguments:
5362 +  atol - scalar absolute tolerances, NULL to ignore
5363 .  vatol - vector of absolute tolerances, NULL to ignore
5364 .  rtol - scalar relative tolerances, NULL to ignore
5365 -  vrtol - vector of relative tolerances, NULL to ignore
5366 
5367    Level: beginner
5368 
5369 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
5370 @*/
5371 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
5372 {
5373   PetscFunctionBegin;
5374   if (atol)  *atol  = ts->atol;
5375   if (vatol) *vatol = ts->vatol;
5376   if (rtol)  *rtol  = ts->rtol;
5377   if (vrtol) *vrtol = ts->vrtol;
5378   PetscFunctionReturn(0);
5379 }
5380 
5381 #undef __FUNCT__
5382 #define __FUNCT__ "TSErrorWeightedNorm2"
5383 /*@
5384    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
5385 
5386    Collective on TS
5387 
5388    Input Arguments:
5389 +  ts - time stepping context
5390 .  U - state vector, usually ts->vec_sol
5391 -  Y - state vector to be compared to U
5392 
5393    Output Arguments:
5394 .  norm - weighted norm, a value of 1.0 is considered small
5395 
5396    Level: developer
5397 
5398 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
5399 @*/
5400 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm)
5401 {
5402   PetscErrorCode    ierr;
5403   PetscInt          i,n,N,rstart;
5404   const PetscScalar *u,*y;
5405   PetscReal         sum,gsum;
5406   PetscReal         tol;
5407 
5408   PetscFunctionBegin;
5409   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5410   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5411   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5412   PetscValidType(U,2);
5413   PetscValidType(Y,3);
5414   PetscCheckSameComm(U,2,Y,3);
5415   PetscValidPointer(norm,4);
5416   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5417 
5418   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5419   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5420   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5421   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5422   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5423   sum  = 0.;
5424   if (ts->vatol && ts->vrtol) {
5425     const PetscScalar *atol,*rtol;
5426     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5427     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5428     for (i=0; i<n; i++) {
5429       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5430       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5431     }
5432     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5433     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5434   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5435     const PetscScalar *atol;
5436     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5437     for (i=0; i<n; i++) {
5438       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5439       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5440     }
5441     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5442   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5443     const PetscScalar *rtol;
5444     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5445     for (i=0; i<n; i++) {
5446       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5447       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5448     }
5449     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5450   } else {                      /* scalar atol, scalar rtol */
5451     for (i=0; i<n; i++) {
5452       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5453       sum += PetscSqr(PetscAbsScalar(y[i] - u[i]) / tol);
5454     }
5455   }
5456   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5457   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5458 
5459   ierr  = MPIU_Allreduce(&sum,&gsum,1,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5460   *norm = PetscSqrtReal(gsum / N);
5461 
5462   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5463   PetscFunctionReturn(0);
5464 }
5465 
5466 #undef __FUNCT__
5467 #define __FUNCT__ "TSErrorWeightedNormInfinity"
5468 /*@
5469    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
5470 
5471    Collective on TS
5472 
5473    Input Arguments:
5474 +  ts - time stepping context
5475 .  U - state vector, usually ts->vec_sol
5476 -  Y - state vector to be compared to U
5477 
5478    Output Arguments:
5479 .  norm - weighted norm, a value of 1.0 is considered small
5480 
5481    Level: developer
5482 
5483 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
5484 @*/
5485 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm)
5486 {
5487   PetscErrorCode    ierr;
5488   PetscInt          i,n,N,rstart,k;
5489   const PetscScalar *u,*y;
5490   PetscReal         max,gmax;
5491   PetscReal         tol;
5492 
5493   PetscFunctionBegin;
5494   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5495   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5496   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
5497   PetscValidType(U,2);
5498   PetscValidType(Y,3);
5499   PetscCheckSameComm(U,2,Y,3);
5500   PetscValidPointer(norm,4);
5501   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
5502 
5503   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
5504   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
5505   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
5506   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
5507   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
5508   if (ts->vatol && ts->vrtol) {
5509     const PetscScalar *atol,*rtol;
5510     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5511     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5512     k = 0;
5513     tol = PetscRealPart(atol[k]) + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5514     max = PetscAbsScalar(y[k] - u[k]) / tol;
5515     for (i=1; i<n; i++) {
5516       tol = PetscRealPart(atol[i]) + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5517       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5518     }
5519     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5520     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5521   } else if (ts->vatol) {       /* vector atol, scalar rtol */
5522     const PetscScalar *atol;
5523     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5524     k = 0;
5525     tol = PetscRealPart(atol[k]) + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5526     max = PetscAbsScalar(y[k] - u[k]) / tol;
5527     for (i=1; i<n; i++) {
5528       tol = PetscRealPart(atol[i]) + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5529       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5530     }
5531     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
5532   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
5533     const PetscScalar *rtol;
5534     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5535     k = 0;
5536     tol = ts->atol + PetscRealPart(rtol[k]) * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5537     max = PetscAbsScalar(y[k] - u[k]) / tol;
5538     for (i=1; i<n; i++) {
5539       tol = ts->atol + PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5540       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5541     }
5542     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
5543   } else {                      /* scalar atol, scalar rtol */
5544     k = 0;
5545     tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[k]),PetscAbsScalar(y[k]));
5546     max = PetscAbsScalar(y[k] - u[k]) / tol;
5547     for (i=1; i<n; i++) {
5548       tol = ts->atol + ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
5549       max = PetscMax(max,PetscAbsScalar(y[i] - u[i]) / tol);
5550     }
5551   }
5552   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
5553   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
5554 
5555   ierr  = MPIU_Allreduce(&max,&gmax,1,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5556   *norm = gmax;
5557 
5558   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
5559   PetscFunctionReturn(0);
5560 }
5561 
5562 #undef __FUNCT__
5563 #define __FUNCT__ "TSErrorWeightedNorm"
5564 /*@
5565    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
5566 
5567    Collective on TS
5568 
5569    Input Arguments:
5570 +  ts - time stepping context
5571 .  U - state vector, usually ts->vec_sol
5572 .  Y - state vector to be compared to U
5573 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
5574 
5575    Output Arguments:
5576 .  norm - weighted norm, a value of 1.0 is considered small
5577 
5578 
5579    Options Database Keys:
5580 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
5581 
5582    Level: developer
5583 
5584 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
5585 @*/
5586 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm)
5587 {
5588   PetscErrorCode ierr;
5589 
5590   PetscFunctionBegin;
5591   if (wnormtype == NORM_2) {
5592     ierr = TSErrorWeightedNorm2(ts,U,Y,norm);CHKERRQ(ierr);
5593   } else if(wnormtype == NORM_INFINITY) {
5594     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm);CHKERRQ(ierr);
5595   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
5596   PetscFunctionReturn(0);
5597 }
5598 
5599 #undef __FUNCT__
5600 #define __FUNCT__ "TSSetCFLTimeLocal"
5601 /*@
5602    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
5603 
5604    Logically Collective on TS
5605 
5606    Input Arguments:
5607 +  ts - time stepping context
5608 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
5609 
5610    Note:
5611    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
5612 
5613    Level: intermediate
5614 
5615 .seealso: TSGetCFLTime(), TSADAPTCFL
5616 @*/
5617 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
5618 {
5619   PetscFunctionBegin;
5620   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5621   ts->cfltime_local = cfltime;
5622   ts->cfltime       = -1.;
5623   PetscFunctionReturn(0);
5624 }
5625 
5626 #undef __FUNCT__
5627 #define __FUNCT__ "TSGetCFLTime"
5628 /*@
5629    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
5630 
5631    Collective on TS
5632 
5633    Input Arguments:
5634 .  ts - time stepping context
5635 
5636    Output Arguments:
5637 .  cfltime - maximum stable time step for forward Euler
5638 
5639    Level: advanced
5640 
5641 .seealso: TSSetCFLTimeLocal()
5642 @*/
5643 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
5644 {
5645   PetscErrorCode ierr;
5646 
5647   PetscFunctionBegin;
5648   if (ts->cfltime < 0) {
5649     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
5650   }
5651   *cfltime = ts->cfltime;
5652   PetscFunctionReturn(0);
5653 }
5654 
5655 #undef __FUNCT__
5656 #define __FUNCT__ "TSVISetVariableBounds"
5657 /*@
5658    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
5659 
5660    Input Parameters:
5661 .  ts   - the TS context.
5662 .  xl   - lower bound.
5663 .  xu   - upper bound.
5664 
5665    Notes:
5666    If this routine is not called then the lower and upper bounds are set to
5667    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
5668 
5669    Level: advanced
5670 
5671 @*/
5672 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
5673 {
5674   PetscErrorCode ierr;
5675   SNES           snes;
5676 
5677   PetscFunctionBegin;
5678   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5679   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
5680   PetscFunctionReturn(0);
5681 }
5682 
5683 #if defined(PETSC_HAVE_MATLAB_ENGINE)
5684 #include <mex.h>
5685 
5686 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
5687 
5688 #undef __FUNCT__
5689 #define __FUNCT__ "TSComputeFunction_Matlab"
5690 /*
5691    TSComputeFunction_Matlab - Calls the function that has been set with
5692                          TSSetFunctionMatlab().
5693 
5694    Collective on TS
5695 
5696    Input Parameters:
5697 +  snes - the TS context
5698 -  u - input vector
5699 
5700    Output Parameter:
5701 .  y - function vector, as set by TSSetFunction()
5702 
5703    Notes:
5704    TSComputeFunction() is typically used within nonlinear solvers
5705    implementations, so most users would not generally call this routine
5706    themselves.
5707 
5708    Level: developer
5709 
5710 .keywords: TS, nonlinear, compute, function
5711 
5712 .seealso: TSSetFunction(), TSGetFunction()
5713 */
5714 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
5715 {
5716   PetscErrorCode  ierr;
5717   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5718   int             nlhs  = 1,nrhs = 7;
5719   mxArray         *plhs[1],*prhs[7];
5720   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
5721 
5722   PetscFunctionBegin;
5723   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
5724   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5725   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
5726   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
5727   PetscCheckSameComm(snes,1,u,3);
5728   PetscCheckSameComm(snes,1,y,5);
5729 
5730   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
5731   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5732   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
5733   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
5734 
5735   prhs[0] =  mxCreateDoubleScalar((double)ls);
5736   prhs[1] =  mxCreateDoubleScalar(time);
5737   prhs[2] =  mxCreateDoubleScalar((double)lx);
5738   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5739   prhs[4] =  mxCreateDoubleScalar((double)ly);
5740   prhs[5] =  mxCreateString(sctx->funcname);
5741   prhs[6] =  sctx->ctx;
5742   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
5743   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5744   mxDestroyArray(prhs[0]);
5745   mxDestroyArray(prhs[1]);
5746   mxDestroyArray(prhs[2]);
5747   mxDestroyArray(prhs[3]);
5748   mxDestroyArray(prhs[4]);
5749   mxDestroyArray(prhs[5]);
5750   mxDestroyArray(plhs[0]);
5751   PetscFunctionReturn(0);
5752 }
5753 
5754 
5755 #undef __FUNCT__
5756 #define __FUNCT__ "TSSetFunctionMatlab"
5757 /*
5758    TSSetFunctionMatlab - Sets the function evaluation routine and function
5759    vector for use by the TS routines in solving ODEs
5760    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
5761 
5762    Logically Collective on TS
5763 
5764    Input Parameters:
5765 +  ts - the TS context
5766 -  func - function evaluation routine
5767 
5768    Calling sequence of func:
5769 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
5770 
5771    Level: beginner
5772 
5773 .keywords: TS, nonlinear, set, function
5774 
5775 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5776 */
5777 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
5778 {
5779   PetscErrorCode  ierr;
5780   TSMatlabContext *sctx;
5781 
5782   PetscFunctionBegin;
5783   /* currently sctx is memory bleed */
5784   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5785   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5786   /*
5787      This should work, but it doesn't
5788   sctx->ctx = ctx;
5789   mexMakeArrayPersistent(sctx->ctx);
5790   */
5791   sctx->ctx = mxDuplicateArray(ctx);
5792 
5793   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
5794   PetscFunctionReturn(0);
5795 }
5796 
5797 #undef __FUNCT__
5798 #define __FUNCT__ "TSComputeJacobian_Matlab"
5799 /*
5800    TSComputeJacobian_Matlab - Calls the function that has been set with
5801                          TSSetJacobianMatlab().
5802 
5803    Collective on TS
5804 
5805    Input Parameters:
5806 +  ts - the TS context
5807 .  u - input vector
5808 .  A, B - the matrices
5809 -  ctx - user context
5810 
5811    Level: developer
5812 
5813 .keywords: TS, nonlinear, compute, function
5814 
5815 .seealso: TSSetFunction(), TSGetFunction()
5816 @*/
5817 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
5818 {
5819   PetscErrorCode  ierr;
5820   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5821   int             nlhs  = 2,nrhs = 9;
5822   mxArray         *plhs[2],*prhs[9];
5823   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
5824 
5825   PetscFunctionBegin;
5826   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5827   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
5828 
5829   /* call Matlab function in ctx with arguments u and y */
5830 
5831   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5832   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5833   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
5834   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
5835   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
5836 
5837   prhs[0] =  mxCreateDoubleScalar((double)ls);
5838   prhs[1] =  mxCreateDoubleScalar((double)time);
5839   prhs[2] =  mxCreateDoubleScalar((double)lx);
5840   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
5841   prhs[4] =  mxCreateDoubleScalar((double)shift);
5842   prhs[5] =  mxCreateDoubleScalar((double)lA);
5843   prhs[6] =  mxCreateDoubleScalar((double)lB);
5844   prhs[7] =  mxCreateString(sctx->funcname);
5845   prhs[8] =  sctx->ctx;
5846   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
5847   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5848   mxDestroyArray(prhs[0]);
5849   mxDestroyArray(prhs[1]);
5850   mxDestroyArray(prhs[2]);
5851   mxDestroyArray(prhs[3]);
5852   mxDestroyArray(prhs[4]);
5853   mxDestroyArray(prhs[5]);
5854   mxDestroyArray(prhs[6]);
5855   mxDestroyArray(prhs[7]);
5856   mxDestroyArray(plhs[0]);
5857   mxDestroyArray(plhs[1]);
5858   PetscFunctionReturn(0);
5859 }
5860 
5861 
5862 #undef __FUNCT__
5863 #define __FUNCT__ "TSSetJacobianMatlab"
5864 /*
5865    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
5866    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
5867 
5868    Logically Collective on TS
5869 
5870    Input Parameters:
5871 +  ts - the TS context
5872 .  A,B - Jacobian matrices
5873 .  func - function evaluation routine
5874 -  ctx - user context
5875 
5876    Calling sequence of func:
5877 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
5878 
5879 
5880    Level: developer
5881 
5882 .keywords: TS, nonlinear, set, function
5883 
5884 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5885 */
5886 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
5887 {
5888   PetscErrorCode  ierr;
5889   TSMatlabContext *sctx;
5890 
5891   PetscFunctionBegin;
5892   /* currently sctx is memory bleed */
5893   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5894   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5895   /*
5896      This should work, but it doesn't
5897   sctx->ctx = ctx;
5898   mexMakeArrayPersistent(sctx->ctx);
5899   */
5900   sctx->ctx = mxDuplicateArray(ctx);
5901 
5902   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
5903   PetscFunctionReturn(0);
5904 }
5905 
5906 #undef __FUNCT__
5907 #define __FUNCT__ "TSMonitor_Matlab"
5908 /*
5909    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
5910 
5911    Collective on TS
5912 
5913 .seealso: TSSetFunction(), TSGetFunction()
5914 @*/
5915 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
5916 {
5917   PetscErrorCode  ierr;
5918   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
5919   int             nlhs  = 1,nrhs = 6;
5920   mxArray         *plhs[1],*prhs[6];
5921   long long int   lx = 0,ls = 0;
5922 
5923   PetscFunctionBegin;
5924   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5925   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
5926 
5927   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
5928   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
5929 
5930   prhs[0] =  mxCreateDoubleScalar((double)ls);
5931   prhs[1] =  mxCreateDoubleScalar((double)it);
5932   prhs[2] =  mxCreateDoubleScalar((double)time);
5933   prhs[3] =  mxCreateDoubleScalar((double)lx);
5934   prhs[4] =  mxCreateString(sctx->funcname);
5935   prhs[5] =  sctx->ctx;
5936   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
5937   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
5938   mxDestroyArray(prhs[0]);
5939   mxDestroyArray(prhs[1]);
5940   mxDestroyArray(prhs[2]);
5941   mxDestroyArray(prhs[3]);
5942   mxDestroyArray(prhs[4]);
5943   mxDestroyArray(plhs[0]);
5944   PetscFunctionReturn(0);
5945 }
5946 
5947 
5948 #undef __FUNCT__
5949 #define __FUNCT__ "TSMonitorSetMatlab"
5950 /*
5951    TSMonitorSetMatlab - Sets the monitor function from Matlab
5952 
5953    Level: developer
5954 
5955 .keywords: TS, nonlinear, set, function
5956 
5957 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
5958 */
5959 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
5960 {
5961   PetscErrorCode  ierr;
5962   TSMatlabContext *sctx;
5963 
5964   PetscFunctionBegin;
5965   /* currently sctx is memory bleed */
5966   ierr = PetscMalloc(sizeof(TSMatlabContext),&sctx);CHKERRQ(ierr);
5967   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
5968   /*
5969      This should work, but it doesn't
5970   sctx->ctx = ctx;
5971   mexMakeArrayPersistent(sctx->ctx);
5972   */
5973   sctx->ctx = mxDuplicateArray(ctx);
5974 
5975   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
5976   PetscFunctionReturn(0);
5977 }
5978 #endif
5979 
5980 #undef __FUNCT__
5981 #define __FUNCT__ "TSMonitorLGSolution"
5982 /*@C
5983    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
5984        in a time based line graph
5985 
5986    Collective on TS
5987 
5988    Input Parameters:
5989 +  ts - the TS context
5990 .  step - current time-step
5991 .  ptime - current time
5992 .  u - current solution
5993 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
5994 
5995    Options Database:
5996 .   -ts_monitor_lg_solution_variables
5997 
5998    Level: intermediate
5999 
6000    Notes: Each process in a parallel run displays its component solutions in a separate window
6001 
6002 .keywords: TS,  vector, monitor, view
6003 
6004 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6005            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6006            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6007            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6008 @*/
6009 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6010 {
6011   PetscErrorCode    ierr;
6012   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6013   const PetscScalar *yy;
6014   Vec               v;
6015 
6016   PetscFunctionBegin;
6017   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6018   if (!step) {
6019     PetscDrawAxis axis;
6020     PetscInt      dim;
6021     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6022     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6023     if (ctx->names && !ctx->displaynames) {
6024       char      **displaynames;
6025       PetscBool flg;
6026       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6027       ierr = PetscMalloc((dim+1)*sizeof(char*),&displaynames);CHKERRQ(ierr);
6028       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6029       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6030       if (flg) {
6031         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6032       }
6033       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6034     }
6035     if (ctx->displaynames) {
6036       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6037       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6038     } else if (ctx->names) {
6039       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6040       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6041       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6042     } else {
6043       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6044       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6045     }
6046     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6047   }
6048 
6049   if (!ctx->transform) v = u;
6050   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6051   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6052   if (ctx->displaynames) {
6053     PetscInt i;
6054     for (i=0; i<ctx->ndisplayvariables; i++)
6055       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6056     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6057   } else {
6058 #if defined(PETSC_USE_COMPLEX)
6059     PetscInt  i,n;
6060     PetscReal *yreal;
6061     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6062     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6063     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6064     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6065     ierr = PetscFree(yreal);CHKERRQ(ierr);
6066 #else
6067     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6068 #endif
6069   }
6070   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6071   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6072 
6073   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6074     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6075     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6076   }
6077   PetscFunctionReturn(0);
6078 }
6079 
6080 
6081 #undef __FUNCT__
6082 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6083 /*@C
6084    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6085 
6086    Collective on TS
6087 
6088    Input Parameters:
6089 +  ts - the TS context
6090 -  names - the names of the components, final string must be NULL
6091 
6092    Level: intermediate
6093 
6094    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6095 
6096 .keywords: TS,  vector, monitor, view
6097 
6098 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6099 @*/
6100 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6101 {
6102   PetscErrorCode    ierr;
6103   PetscInt          i;
6104 
6105   PetscFunctionBegin;
6106   for (i=0; i<ts->numbermonitors; i++) {
6107     if (ts->monitor[i] == TSMonitorLGSolution) {
6108       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6109       break;
6110     }
6111   }
6112   PetscFunctionReturn(0);
6113 }
6114 
6115 #undef __FUNCT__
6116 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6117 /*@C
6118    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6119 
6120    Collective on TS
6121 
6122    Input Parameters:
6123 +  ts - the TS context
6124 -  names - the names of the components, final string must be NULL
6125 
6126    Level: intermediate
6127 
6128 .keywords: TS,  vector, monitor, view
6129 
6130 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6131 @*/
6132 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6133 {
6134   PetscErrorCode    ierr;
6135 
6136   PetscFunctionBegin;
6137   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6138   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6139   PetscFunctionReturn(0);
6140 }
6141 
6142 #undef __FUNCT__
6143 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6144 /*@C
6145    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6146 
6147    Collective on TS
6148 
6149    Input Parameter:
6150 .  ts - the TS context
6151 
6152    Output Parameter:
6153 .  names - the names of the components, final string must be NULL
6154 
6155    Level: intermediate
6156 
6157    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6158 
6159 .keywords: TS,  vector, monitor, view
6160 
6161 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6162 @*/
6163 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6164 {
6165   PetscInt       i;
6166 
6167   PetscFunctionBegin;
6168   *names = NULL;
6169   for (i=0; i<ts->numbermonitors; i++) {
6170     if (ts->monitor[i] == TSMonitorLGSolution) {
6171       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6172       *names = (const char *const *)ctx->names;
6173       break;
6174     }
6175   }
6176   PetscFunctionReturn(0);
6177 }
6178 
6179 #undef __FUNCT__
6180 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6181 /*@C
6182    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6183 
6184    Collective on TS
6185 
6186    Input Parameters:
6187 +  ctx - the TSMonitorLG context
6188 .  displaynames - the names of the components, final string must be NULL
6189 
6190    Level: intermediate
6191 
6192 .keywords: TS,  vector, monitor, view
6193 
6194 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6195 @*/
6196 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6197 {
6198   PetscInt          j = 0,k;
6199   PetscErrorCode    ierr;
6200 
6201   PetscFunctionBegin;
6202   if (!ctx->names) PetscFunctionReturn(0);
6203   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6204   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6205   while (displaynames[j]) j++;
6206   ctx->ndisplayvariables = j;
6207   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6208   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6209   j = 0;
6210   while (displaynames[j]) {
6211     k = 0;
6212     while (ctx->names[k]) {
6213       PetscBool flg;
6214       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6215       if (flg) {
6216         ctx->displayvariables[j] = k;
6217         break;
6218       }
6219       k++;
6220     }
6221     j++;
6222   }
6223   PetscFunctionReturn(0);
6224 }
6225 
6226 
6227 #undef __FUNCT__
6228 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
6229 /*@C
6230    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
6231 
6232    Collective on TS
6233 
6234    Input Parameters:
6235 +  ts - the TS context
6236 .  displaynames - the names of the components, final string must be NULL
6237 
6238    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6239 
6240    Level: intermediate
6241 
6242 .keywords: TS,  vector, monitor, view
6243 
6244 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6245 @*/
6246 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
6247 {
6248   PetscInt          i;
6249   PetscErrorCode    ierr;
6250 
6251   PetscFunctionBegin;
6252   for (i=0; i<ts->numbermonitors; i++) {
6253     if (ts->monitor[i] == TSMonitorLGSolution) {
6254       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
6255       break;
6256     }
6257   }
6258   PetscFunctionReturn(0);
6259 }
6260 
6261 #undef __FUNCT__
6262 #define __FUNCT__ "TSMonitorLGSetTransform"
6263 /*@C
6264    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
6265 
6266    Collective on TS
6267 
6268    Input Parameters:
6269 +  ts - the TS context
6270 .  transform - the transform function
6271 .  destroy - function to destroy the optional context
6272 -  ctx - optional context used by transform function
6273 
6274    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6275 
6276    Level: intermediate
6277 
6278 .keywords: TS,  vector, monitor, view
6279 
6280 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
6281 @*/
6282 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6283 {
6284   PetscInt          i;
6285   PetscErrorCode    ierr;
6286 
6287   PetscFunctionBegin;
6288   for (i=0; i<ts->numbermonitors; i++) {
6289     if (ts->monitor[i] == TSMonitorLGSolution) {
6290       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
6291     }
6292   }
6293   PetscFunctionReturn(0);
6294 }
6295 
6296 #undef __FUNCT__
6297 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
6298 /*@C
6299    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
6300 
6301    Collective on TSLGCtx
6302 
6303    Input Parameters:
6304 +  ts - the TS context
6305 .  transform - the transform function
6306 .  destroy - function to destroy the optional context
6307 -  ctx - optional context used by transform function
6308 
6309    Level: intermediate
6310 
6311 .keywords: TS,  vector, monitor, view
6312 
6313 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
6314 @*/
6315 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
6316 {
6317   PetscFunctionBegin;
6318   ctx->transform    = transform;
6319   ctx->transformdestroy = destroy;
6320   ctx->transformctx = tctx;
6321   PetscFunctionReturn(0);
6322 }
6323 
6324 #undef __FUNCT__
6325 #define __FUNCT__ "TSMonitorLGError"
6326 /*@C
6327    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
6328        in a time based line graph
6329 
6330    Collective on TS
6331 
6332    Input Parameters:
6333 +  ts - the TS context
6334 .  step - current time-step
6335 .  ptime - current time
6336 .  u - current solution
6337 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
6338 
6339    Level: intermediate
6340 
6341    Notes: Each process in a parallel run displays its component errors in a separate window
6342 
6343    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
6344 
6345    Options Database Keys:
6346 .  -ts_monitor_lg_error - create a graphical monitor of error history
6347 
6348 .keywords: TS,  vector, monitor, view
6349 
6350 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
6351 @*/
6352 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
6353 {
6354   PetscErrorCode    ierr;
6355   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
6356   const PetscScalar *yy;
6357   Vec               y;
6358 
6359   PetscFunctionBegin;
6360   if (!step) {
6361     PetscDrawAxis axis;
6362     PetscInt      dim;
6363     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6364     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
6365     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6366     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6367     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6368   }
6369   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
6370   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
6371   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
6372   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
6373 #if defined(PETSC_USE_COMPLEX)
6374   {
6375     PetscReal *yreal;
6376     PetscInt  i,n;
6377     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
6378     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6379     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6380     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6381     ierr = PetscFree(yreal);CHKERRQ(ierr);
6382   }
6383 #else
6384   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6385 #endif
6386   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
6387   ierr = VecDestroy(&y);CHKERRQ(ierr);
6388   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6389     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6390     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6391   }
6392   PetscFunctionReturn(0);
6393 }
6394 
6395 #undef __FUNCT__
6396 #define __FUNCT__ "TSMonitorLGSNESIterations"
6397 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6398 {
6399   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6400   PetscReal      x   = ptime,y;
6401   PetscErrorCode ierr;
6402   PetscInt       its;
6403 
6404   PetscFunctionBegin;
6405   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6406   if (!n) {
6407     PetscDrawAxis axis;
6408     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6409     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
6410     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6411     ctx->snes_its = 0;
6412   }
6413   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
6414   y    = its - ctx->snes_its;
6415   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6416   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6417     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6418     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6419   }
6420   ctx->snes_its = its;
6421   PetscFunctionReturn(0);
6422 }
6423 
6424 #undef __FUNCT__
6425 #define __FUNCT__ "TSMonitorLGKSPIterations"
6426 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
6427 {
6428   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
6429   PetscReal      x   = ptime,y;
6430   PetscErrorCode ierr;
6431   PetscInt       its;
6432 
6433   PetscFunctionBegin;
6434   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6435   if (!n) {
6436     PetscDrawAxis axis;
6437     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6438     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
6439     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6440     ctx->ksp_its = 0;
6441   }
6442   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
6443   y    = its - ctx->ksp_its;
6444   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
6445   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
6446     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6447     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6448   }
6449   ctx->ksp_its = its;
6450   PetscFunctionReturn(0);
6451 }
6452 
6453 #undef __FUNCT__
6454 #define __FUNCT__ "TSComputeLinearStability"
6455 /*@
6456    TSComputeLinearStability - computes the linear stability function at a point
6457 
6458    Collective on TS and Vec
6459 
6460    Input Parameters:
6461 +  ts - the TS context
6462 -  xr,xi - real and imaginary part of input arguments
6463 
6464    Output Parameters:
6465 .  yr,yi - real and imaginary part of function value
6466 
6467    Level: developer
6468 
6469 .keywords: TS, compute
6470 
6471 .seealso: TSSetRHSFunction(), TSComputeIFunction()
6472 @*/
6473 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
6474 {
6475   PetscErrorCode ierr;
6476 
6477   PetscFunctionBegin;
6478   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6479   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
6480   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
6481   PetscFunctionReturn(0);
6482 }
6483 
6484 /* ------------------------------------------------------------------------*/
6485 #undef __FUNCT__
6486 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
6487 /*@C
6488    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
6489 
6490    Collective on TS
6491 
6492    Input Parameters:
6493 .  ts  - the ODE solver object
6494 
6495    Output Parameter:
6496 .  ctx - the context
6497 
6498    Level: intermediate
6499 
6500 .keywords: TS, monitor, line graph, residual, seealso
6501 
6502 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
6503 
6504 @*/
6505 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
6506 {
6507   PetscErrorCode ierr;
6508 
6509   PetscFunctionBegin;
6510   ierr = PetscNew(ctx);CHKERRQ(ierr);
6511   PetscFunctionReturn(0);
6512 }
6513 
6514 #undef __FUNCT__
6515 #define __FUNCT__ "TSMonitorEnvelope"
6516 /*@C
6517    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
6518 
6519    Collective on TS
6520 
6521    Input Parameters:
6522 +  ts - the TS context
6523 .  step - current time-step
6524 .  ptime - current time
6525 .  u  - current solution
6526 -  dctx - the envelope context
6527 
6528    Options Database:
6529 .  -ts_monitor_envelope
6530 
6531    Level: intermediate
6532 
6533    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
6534 
6535 .keywords: TS,  vector, monitor, view
6536 
6537 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
6538 @*/
6539 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6540 {
6541   PetscErrorCode       ierr;
6542   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
6543 
6544   PetscFunctionBegin;
6545   if (!ctx->max) {
6546     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
6547     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
6548     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
6549     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
6550   } else {
6551     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
6552     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
6553   }
6554   PetscFunctionReturn(0);
6555 }
6556 
6557 
6558 #undef __FUNCT__
6559 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
6560 /*@C
6561    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
6562 
6563    Collective on TS
6564 
6565    Input Parameter:
6566 .  ts - the TS context
6567 
6568    Output Parameter:
6569 +  max - the maximum values
6570 -  min - the minimum values
6571 
6572    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
6573 
6574    Level: intermediate
6575 
6576 .keywords: TS,  vector, monitor, view
6577 
6578 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6579 @*/
6580 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
6581 {
6582   PetscInt i;
6583 
6584   PetscFunctionBegin;
6585   if (max) *max = NULL;
6586   if (min) *min = NULL;
6587   for (i=0; i<ts->numbermonitors; i++) {
6588     if (ts->monitor[i] == TSMonitorEnvelope) {
6589       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
6590       if (max) *max = ctx->max;
6591       if (min) *min = ctx->min;
6592       break;
6593     }
6594   }
6595   PetscFunctionReturn(0);
6596 }
6597 
6598 #undef __FUNCT__
6599 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
6600 /*@C
6601    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
6602 
6603    Collective on TSMonitorEnvelopeCtx
6604 
6605    Input Parameter:
6606 .  ctx - the monitor context
6607 
6608    Level: intermediate
6609 
6610 .keywords: TS, monitor, line graph, destroy
6611 
6612 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
6613 @*/
6614 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
6615 {
6616   PetscErrorCode ierr;
6617 
6618   PetscFunctionBegin;
6619   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
6620   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
6621   ierr = PetscFree(*ctx);CHKERRQ(ierr);
6622   PetscFunctionReturn(0);
6623 }
6624 
6625 #undef __FUNCT__
6626 #define __FUNCT__ "TSRollBack"
6627 /*@
6628    TSRollBack - Rolls back one time step
6629 
6630    Collective on TS
6631 
6632    Input Parameter:
6633 .  ts - the TS context obtained from TSCreate()
6634 
6635    Level: advanced
6636 
6637 .keywords: TS, timestep, rollback
6638 
6639 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
6640 @*/
6641 PetscErrorCode  TSRollBack(TS ts)
6642 {
6643   PetscErrorCode ierr;
6644 
6645   PetscFunctionBegin;
6646   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6647   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
6648   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
6649   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
6650   ts->time_step = ts->ptime - ts->ptime_prev;
6651   ts->ptime = ts->ptime_prev;
6652   ts->ptime_prev = ts->ptime_prev_rollback;
6653   ts->steps--; ts->total_steps--;
6654   ts->steprollback = PETSC_TRUE;
6655   PetscFunctionReturn(0);
6656 }
6657 
6658 #undef __FUNCT__
6659 #define __FUNCT__ "TSGetStages"
6660 /*@
6661    TSGetStages - Get the number of stages and stage values
6662 
6663    Input Parameter:
6664 .  ts - the TS context obtained from TSCreate()
6665 
6666    Level: advanced
6667 
6668 .keywords: TS, getstages
6669 
6670 .seealso: TSCreate()
6671 @*/
6672 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
6673 {
6674   PetscErrorCode ierr;
6675 
6676   PetscFunctionBegin;
6677   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6678   PetscValidPointer(ns,2);
6679 
6680   if (!ts->ops->getstages) *ns=0;
6681   else {
6682     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
6683   }
6684   PetscFunctionReturn(0);
6685 }
6686 
6687 #undef __FUNCT__
6688 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
6689 /*@C
6690   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
6691 
6692   Collective on SNES
6693 
6694   Input Parameters:
6695 + ts - the TS context
6696 . t - current timestep
6697 . U - state vector
6698 . Udot - time derivative of state vector
6699 . shift - shift to apply, see note below
6700 - ctx - an optional user context
6701 
6702   Output Parameters:
6703 + J - Jacobian matrix (not altered in this routine)
6704 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
6705 
6706   Level: intermediate
6707 
6708   Notes:
6709   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
6710 
6711   dF/dU + shift*dF/dUdot
6712 
6713   Most users should not need to explicitly call this routine, as it
6714   is used internally within the nonlinear solvers.
6715 
6716   This will first try to get the coloring from the DM.  If the DM type has no coloring
6717   routine, then it will try to get the coloring from the matrix.  This requires that the
6718   matrix have nonzero entries precomputed.
6719 
6720 .keywords: TS, finite differences, Jacobian, coloring, sparse
6721 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
6722 @*/
6723 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
6724 {
6725   SNES           snes;
6726   MatFDColoring  color;
6727   PetscBool      hascolor, matcolor = PETSC_FALSE;
6728   PetscErrorCode ierr;
6729 
6730   PetscFunctionBegin;
6731   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
6732   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
6733   if (!color) {
6734     DM         dm;
6735     ISColoring iscoloring;
6736 
6737     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
6738     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
6739     if (hascolor && !matcolor) {
6740       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
6741       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6742       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6743       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6744       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6745       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6746     } else {
6747       MatColoring mc;
6748 
6749       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
6750       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
6751       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
6752       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
6753       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
6754       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
6755       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
6756       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
6757       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
6758       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
6759       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
6760     }
6761     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
6762     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
6763   }
6764   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
6765   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
6766   if (J != B) {
6767     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6768     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
6769   }
6770   PetscFunctionReturn(0);
6771 }
6772 
6773 #undef __FUNCT__
6774 #define __FUNCT__ "TSSetFunctionDomainError"
6775 /*@
6776     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
6777 
6778     Input Parameters:
6779     ts - the TS context
6780     func - function called within TSFunctionDomainError
6781 
6782     Level: intermediate
6783 
6784 .keywords: TS, state, domain
6785 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
6786 @*/
6787 
6788 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
6789 {
6790   PetscFunctionBegin;
6791   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
6792   ts->functiondomainerror = func;
6793   PetscFunctionReturn(0);
6794 }
6795 
6796 #undef __FUNCT__
6797 #define __FUNCT__ "TSFunctionDomainError"
6798 /*@
6799     TSFunctionDomainError - Check if the current state is valid
6800 
6801     Input Parameters:
6802     ts - the TS context
6803     stagetime - time of the simulation
6804     Y - state vector to check.
6805 
6806     Output Parameter:
6807     accept - Set to PETSC_FALSE if the current state vector is valid.
6808 
6809     Note:
6810     This function should be used to ensure the state is in a valid part of the space.
6811     For example, one can ensure here all values are positive.
6812 
6813     Level: advanced
6814 @*/
6815 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
6816 {
6817   PetscErrorCode ierr;
6818 
6819   PetscFunctionBegin;
6820 
6821   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6822   *accept = PETSC_TRUE;
6823   if (ts->functiondomainerror) {
6824     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
6825   }
6826   PetscFunctionReturn(0);
6827 }
6828 
6829 #undef  __FUNCT__
6830 #define __FUNCT__ "TSClone"
6831 /*@C
6832   TSClone - This function clones a time step object.
6833 
6834   Collective on MPI_Comm
6835 
6836   Input Parameter:
6837 . tsin    - The input TS
6838 
6839   Output Parameter:
6840 . tsout   - The output TS (cloned)
6841 
6842   Notes:
6843   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.
6844 
6845   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);
6846 
6847   Level: developer
6848 
6849 .keywords: TS, clone
6850 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
6851 @*/
6852 PetscErrorCode  TSClone(TS tsin, TS *tsout)
6853 {
6854   TS             t;
6855   PetscErrorCode ierr;
6856   SNES           snes_start;
6857   DM             dm;
6858   TSType         type;
6859 
6860   PetscFunctionBegin;
6861   PetscValidPointer(tsin,1);
6862   *tsout = NULL;
6863 
6864   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
6865 
6866   /* General TS description */
6867   t->numbermonitors    = 0;
6868   t->setupcalled       = 0;
6869   t->ksp_its           = 0;
6870   t->snes_its          = 0;
6871   t->nwork             = 0;
6872   t->rhsjacobian.time  = -1e20;
6873   t->rhsjacobian.scale = 1.;
6874   t->ijacobian.shift   = 1.;
6875 
6876   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
6877   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
6878 
6879   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
6880   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
6881 
6882   t->adapt = tsin->adapt;
6883   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
6884 
6885   t->problem_type      = tsin->problem_type;
6886   t->ptime             = tsin->ptime;
6887   t->time_step         = tsin->time_step;
6888   t->max_time          = tsin->max_time;
6889   t->steps             = tsin->steps;
6890   t->max_steps         = tsin->max_steps;
6891   t->equation_type     = tsin->equation_type;
6892   t->atol              = tsin->atol;
6893   t->rtol              = tsin->rtol;
6894   t->max_snes_failures = tsin->max_snes_failures;
6895   t->max_reject        = tsin->max_reject;
6896   t->errorifstepfailed = tsin->errorifstepfailed;
6897 
6898   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
6899   ierr = TSSetType(t,type);CHKERRQ(ierr);
6900 
6901   t->vec_sol           = NULL;
6902 
6903   t->cfltime          = tsin->cfltime;
6904   t->cfltime_local    = tsin->cfltime_local;
6905   t->exact_final_time = tsin->exact_final_time;
6906 
6907   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
6908 
6909   if (((PetscObject)tsin)->fortran_func_pointers) {
6910     PetscInt i;
6911     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
6912     for (i=0; i<10; i++) {
6913       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
6914     }
6915   }
6916   *tsout = t;
6917   PetscFunctionReturn(0);
6918 }
6919