xref: /petsc/src/ts/interface/ts.c (revision 7453f77509fc006cbcc7de2dd772f60dc49feac5)
1 
2 #include <petsc/private/tsimpl.h>        /*I "petscts.h"  I*/
3 #include <petscdmshell.h>
4 #include <petscdmda.h>
5 #include <petscviewer.h>
6 #include <petscdraw.h>
7 
8 /* Logging support */
9 PetscClassId  TS_CLASSID, DMTS_CLASSID;
10 PetscLogEvent TS_AdjointStep, TS_Step, TS_PseudoComputeTimeStep, TS_FunctionEval, TS_JacobianEval;
11 
12 const char *const TSExactFinalTimeOptions[] = {"UNSPECIFIED","STEPOVER","INTERPOLATE","MATCHSTEP","TSExactFinalTimeOption","TS_EXACTFINALTIME_",0};
13 
14 struct _n_TSMonitorDrawCtx {
15   PetscViewer   viewer;
16   Vec           initialsolution;
17   PetscBool     showinitial;
18   PetscInt      howoften;  /* when > 0 uses step % howoften, when negative only final solution plotted */
19   PetscBool     showtimestepandtime;
20 };
21 
22 #undef __FUNCT__
23 #define __FUNCT__ "TSMonitorSetFromOptions"
24 /*@C
25    TSMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
26 
27    Collective on TS
28 
29    Input Parameters:
30 +  ts - TS object you wish to monitor
31 .  name - the monitor type one is seeking
32 .  help - message indicating what monitoring is done
33 .  manual - manual page for the monitor
34 .  monitor - the monitor function
35 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
36 
37    Level: developer
38 
39 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
40           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
41           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
42           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
43           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
44           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
45           PetscOptionsFList(), PetscOptionsEList()
46 @*/
47 PetscErrorCode  TSMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
48 {
49   PetscErrorCode    ierr;
50   PetscViewer       viewer;
51   PetscViewerFormat format;
52   PetscBool         flg;
53 
54   PetscFunctionBegin;
55   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
56   if (flg) {
57     PetscViewerAndFormat *vf;
58     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
59     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
60     if (monitorsetup) {
61       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
62     }
63     ierr = TSMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
64   }
65   PetscFunctionReturn(0);
66 }
67 
68 #undef __FUNCT__
69 #define __FUNCT__ "TSAdjointMonitorSetFromOptions"
70 /*@C
71    TSAdjointMonitorSetFromOptions - Sets a monitor function and viewer appropriate for the type indicated by the user
72 
73    Collective on TS
74 
75    Input Parameters:
76 +  ts - TS object you wish to monitor
77 .  name - the monitor type one is seeking
78 .  help - message indicating what monitoring is done
79 .  manual - manual page for the monitor
80 .  monitor - the monitor function
81 -  monitorsetup - a function that is called once ONLY if the user selected this monitor that may set additional features of the TS or PetscViewer objects
82 
83    Level: developer
84 
85 .seealso: PetscOptionsGetViewer(), PetscOptionsGetReal(), PetscOptionsHasName(), PetscOptionsGetString(),
86           PetscOptionsGetIntArray(), PetscOptionsGetRealArray(), PetscOptionsBool()
87           PetscOptionsInt(), PetscOptionsString(), PetscOptionsReal(), PetscOptionsBool(),
88           PetscOptionsName(), PetscOptionsBegin(), PetscOptionsEnd(), PetscOptionsHead(),
89           PetscOptionsStringArray(),PetscOptionsRealArray(), PetscOptionsScalar(),
90           PetscOptionsBoolGroupBegin(), PetscOptionsBoolGroup(), PetscOptionsBoolGroupEnd(),
91           PetscOptionsFList(), PetscOptionsEList()
92 @*/
93 PetscErrorCode  TSAdjointMonitorSetFromOptions(TS ts,const char name[],const char help[], const char manual[],PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,PetscViewerAndFormat*),PetscErrorCode (*monitorsetup)(TS,PetscViewerAndFormat*))
94 {
95   PetscErrorCode    ierr;
96   PetscViewer       viewer;
97   PetscViewerFormat format;
98   PetscBool         flg;
99 
100   PetscFunctionBegin;
101   ierr = PetscOptionsGetViewer(PetscObjectComm((PetscObject)ts),((PetscObject)ts)->prefix,name,&viewer,&format,&flg);CHKERRQ(ierr);
102   if (flg) {
103     PetscViewerAndFormat *vf;
104     ierr = PetscViewerAndFormatCreate(viewer,format,&vf);CHKERRQ(ierr);
105     ierr = PetscObjectDereference((PetscObject)viewer);CHKERRQ(ierr);
106     if (monitorsetup) {
107       ierr = (*monitorsetup)(ts,vf);CHKERRQ(ierr);
108     }
109     ierr = TSAdjointMonitorSet(ts,(PetscErrorCode (*)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*))monitor,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);CHKERRQ(ierr);
110   }
111   PetscFunctionReturn(0);
112 }
113 
114 #undef __FUNCT__
115 #define __FUNCT__ "TSSetFromOptions"
116 /*@
117    TSSetFromOptions - Sets various TS parameters from user options.
118 
119    Collective on TS
120 
121    Input Parameter:
122 .  ts - the TS context obtained from TSCreate()
123 
124    Options Database Keys:
125 +  -ts_type <type> - TSEULER, TSBEULER, TSSUNDIALS, TSPSEUDO, TSCN, TSRK, TSTHETA, TSALPHA, TSGLLE, TSSSP, TSGLEE
126 .  -ts_save_trajectory - checkpoint the solution at each time-step
127 .  -ts_max_steps <maxsteps> - maximum number of time-steps to take
128 .  -ts_final_time <time> - maximum time to compute to
129 .  -ts_dt <dt> - initial time step
130 .  -ts_exact_final_time <stepover,interpolate,matchstep> whether to stop at the exact given final time and how to compute the solution at that ti,e
131 .  -ts_max_snes_failures <maxfailures> - Maximum number of nonlinear solve failures allowed
132 .  -ts_max_reject <maxrejects> - Maximum number of step rejections before step fails
133 .  -ts_error_if_step_fails <true,false> - Error if no step succeeds
134 .  -ts_rtol <rtol> - relative tolerance for local truncation error
135 .  -ts_atol <atol> Absolute tolerance for local truncation error
136 .  -ts_adjoint_solve <yes,no> After solving the ODE/DAE solve the adjoint problem (requires -ts_save_trajectory)
137 .  -ts_fd_color - Use finite differences with coloring to compute IJacobian
138 .  -ts_monitor - print information at each timestep
139 .  -ts_monitor_lg_solution - Monitor solution graphically
140 .  -ts_monitor_lg_error - Monitor error graphically
141 .  -ts_monitor_lg_timestep - Monitor timestep size graphically
142 .  -ts_monitor_lg_snes_iterations - Monitor number nonlinear iterations for each timestep graphically
143 .  -ts_monitor_lg_ksp_iterations - Monitor number nonlinear iterations for each timestep graphically
144 .  -ts_monitor_sp_eig - Monitor eigenvalues of linearized operator graphically
145 .  -ts_monitor_draw_solution - Monitor solution graphically
146 .  -ts_monitor_draw_solution_phase  <xleft,yleft,xright,yright> - Monitor solution graphically with phase diagram, requires problem with exactly 2 degrees of freedom
147 .  -ts_monitor_draw_error - Monitor error graphically, requires use to have provided TSSetSolutionFunction()
148 .  -ts_monitor_solution [ascii binary draw][:filename][:viewerformat] - monitors the solution at each timestep
149 .  -ts_monitor_solution_vtk <filename.vts> - Save each time step to a binary file, use filename-%%03D.vts
150 .  -ts_monitor_envelope - determine maximum and minimum value of each component of the solution over the solution time
151 .  -ts_adjoint_monitor - print information at each adjoint time step
152 -  -ts_adjoint_monitor_draw_sensi - monitor the sensitivity of the first cost function wrt initial conditions (lambda[0]) graphically
153 
154    Developer Note: We should unify all the -ts_monitor options in the way that -xxx_view has been unified
155 
156    Level: beginner
157 
158 .keywords: TS, timestep, set, options, database
159 
160 .seealso: TSGetType()
161 @*/
162 PetscErrorCode  TSSetFromOptions(TS ts)
163 {
164   PetscBool              opt,flg,tflg;
165   PetscErrorCode         ierr;
166   char                   monfilename[PETSC_MAX_PATH_LEN];
167   PetscReal              time_step;
168   TSExactFinalTimeOption eftopt;
169   char                   dir[16];
170   TSIFunction            ifun;
171   const char             *defaultType;
172   char                   typeName[256];
173 
174   PetscFunctionBegin;
175   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
176 
177   ierr = TSRegisterAll();CHKERRQ(ierr);
178   ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
179 
180   ierr = PetscObjectOptionsBegin((PetscObject)ts);CHKERRQ(ierr);
181   if (((PetscObject)ts)->type_name)
182     defaultType = ((PetscObject)ts)->type_name;
183   else
184     defaultType = ifun ? TSBEULER : TSEULER;
185   ierr = PetscOptionsFList("-ts_type","TS method","TSSetType",TSList,defaultType,typeName,256,&opt);CHKERRQ(ierr);
186   if (opt) {
187     ierr = TSSetType(ts,typeName);CHKERRQ(ierr);
188   } else {
189     ierr = TSSetType(ts,defaultType);CHKERRQ(ierr);
190   }
191 
192   /* Handle generic TS options */
193   ierr = PetscOptionsInt("-ts_max_steps","Maximum number of time steps","TSSetDuration",ts->max_steps,&ts->max_steps,NULL);CHKERRQ(ierr);
194   ierr = PetscOptionsReal("-ts_final_time","Time to run to","TSSetDuration",ts->max_time,&ts->max_time,NULL);CHKERRQ(ierr);
195   ierr = PetscOptionsReal("-ts_init_time","Initial time","TSSetTime",ts->ptime,&ts->ptime,NULL);CHKERRQ(ierr);
196   ierr = PetscOptionsReal("-ts_dt","Initial time step","TSSetTimeStep",ts->time_step,&time_step,&flg);CHKERRQ(ierr);
197   if (flg) {ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);}
198   ierr = PetscOptionsEnum("-ts_exact_final_time","Option for handling of final time step","TSSetExactFinalTime",TSExactFinalTimeOptions,(PetscEnum)ts->exact_final_time,(PetscEnum*)&eftopt,&flg);CHKERRQ(ierr);
199   if (flg) {ierr = TSSetExactFinalTime(ts,eftopt);CHKERRQ(ierr);}
200   ierr = PetscOptionsInt("-ts_max_snes_failures","Maximum number of nonlinear solve failures","TSSetMaxSNESFailures",ts->max_snes_failures,&ts->max_snes_failures,NULL);CHKERRQ(ierr);
201   ierr = PetscOptionsInt("-ts_max_reject","Maximum number of step rejections before step fails","TSSetMaxStepRejections",ts->max_reject,&ts->max_reject,NULL);CHKERRQ(ierr);
202   ierr = PetscOptionsBool("-ts_error_if_step_fails","Error if no step succeeds","TSSetErrorIfStepFails",ts->errorifstepfailed,&ts->errorifstepfailed,NULL);CHKERRQ(ierr);
203   ierr = PetscOptionsReal("-ts_rtol","Relative tolerance for local truncation error","TSSetTolerances",ts->rtol,&ts->rtol,NULL);CHKERRQ(ierr);
204   ierr = PetscOptionsReal("-ts_atol","Absolute tolerance for local truncation error","TSSetTolerances",ts->atol,&ts->atol,NULL);CHKERRQ(ierr);
205 
206 #if defined(PETSC_HAVE_SAWS)
207   {
208   PetscBool set;
209   flg  = PETSC_FALSE;
210   ierr = PetscOptionsBool("-ts_saws_block","Block for SAWs memory snooper at end of TSSolve","PetscObjectSAWsBlock",((PetscObject)ts)->amspublishblock,&flg,&set);CHKERRQ(ierr);
211   if (set) {
212     ierr = PetscObjectSAWsSetBlock((PetscObject)ts,flg);CHKERRQ(ierr);
213   }
214   }
215 #endif
216 
217   /* Monitor options */
218   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor","Monitor time and timestep size","TSMonitorDefault",TSMonitorDefault,NULL);CHKERRQ(ierr);
219   ierr = TSMonitorSetFromOptions(ts,"-ts_monitor_solution","View the solution at each timestep","TSMonitorSolution",TSMonitorSolution,NULL);CHKERRQ(ierr);
220   ierr = TSAdjointMonitorSetFromOptions(ts,"-ts_adjoint_monitor","Monitor adjoint timestep size","TSAdjointMonitorDefault",TSAdjointMonitorDefault,NULL);CHKERRQ(ierr);
221 
222   ierr = PetscOptionsString("-ts_monitor_python","Use Python function","TSMonitorSet",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
223   if (flg) {ierr = PetscPythonMonitorSet((PetscObject)ts,monfilename);CHKERRQ(ierr);}
224 
225   ierr = PetscOptionsName("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",&opt);CHKERRQ(ierr);
226   if (opt) {
227     TSMonitorLGCtx ctx;
228     PetscInt       howoften = 1;
229 
230     ierr = PetscOptionsInt("-ts_monitor_lg_solution","Monitor solution graphically","TSMonitorLGSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
231     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
232     ierr = TSMonitorSet(ts,TSMonitorLGSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
233   }
234 
235   ierr = PetscOptionsName("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",&opt);CHKERRQ(ierr);
236   if (opt) {
237     TSMonitorLGCtx ctx;
238     PetscInt       howoften = 1;
239 
240     ierr = PetscOptionsInt("-ts_monitor_lg_error","Monitor error graphically","TSMonitorLGError",howoften,&howoften,NULL);CHKERRQ(ierr);
241     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
242     ierr = TSMonitorSet(ts,TSMonitorLGError,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
243   }
244 
245   ierr = PetscOptionsName("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",&opt);CHKERRQ(ierr);
246   if (opt) {
247     TSMonitorLGCtx ctx;
248     PetscInt       howoften = 1;
249 
250     ierr = PetscOptionsInt("-ts_monitor_lg_timestep","Monitor timestep size graphically","TSMonitorLGTimeStep",howoften,&howoften,NULL);CHKERRQ(ierr);
251     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
252     ierr = TSMonitorSet(ts,TSMonitorLGTimeStep,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
253   }
254   ierr = PetscOptionsName("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",&opt);CHKERRQ(ierr);
255   if (opt) {
256     TSMonitorLGCtx ctx;
257     PetscInt       howoften = 1;
258 
259     ierr = PetscOptionsInt("-ts_monitor_lg_snes_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGSNESIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
260     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
261     ierr = TSMonitorSet(ts,TSMonitorLGSNESIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
262   }
263   ierr = PetscOptionsName("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",&opt);CHKERRQ(ierr);
264   if (opt) {
265     TSMonitorLGCtx ctx;
266     PetscInt       howoften = 1;
267 
268     ierr = PetscOptionsInt("-ts_monitor_lg_ksp_iterations","Monitor number nonlinear iterations for each timestep graphically","TSMonitorLGKSPIterations",howoften,&howoften,NULL);CHKERRQ(ierr);
269     ierr = TSMonitorLGCtxCreate(PetscObjectComm((PetscObject)ts),NULL,NULL,PETSC_DECIDE,PETSC_DECIDE,400,300,howoften,&ctx);CHKERRQ(ierr);
270     ierr = TSMonitorSet(ts,TSMonitorLGKSPIterations,ctx,(PetscErrorCode (*)(void**))TSMonitorLGCtxDestroy);CHKERRQ(ierr);
271   }
272   ierr = PetscOptionsName("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",&opt);CHKERRQ(ierr);
273   if (opt) {
274     TSMonitorSPEigCtx ctx;
275     PetscInt          howoften = 1;
276 
277     ierr = PetscOptionsInt("-ts_monitor_sp_eig","Monitor eigenvalues of linearized operator graphically","TSMonitorSPEig",howoften,&howoften,NULL);CHKERRQ(ierr);
278     ierr = TSMonitorSPEigCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
279     ierr = TSMonitorSet(ts,TSMonitorSPEig,ctx,(PetscErrorCode (*)(void**))TSMonitorSPEigCtxDestroy);CHKERRQ(ierr);
280   }
281   opt  = PETSC_FALSE;
282   ierr = PetscOptionsName("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",&opt);CHKERRQ(ierr);
283   if (opt) {
284     TSMonitorDrawCtx ctx;
285     PetscInt         howoften = 1;
286 
287     ierr = PetscOptionsInt("-ts_monitor_draw_solution","Monitor solution graphically","TSMonitorDrawSolution",howoften,&howoften,NULL);CHKERRQ(ierr);
288     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
289     ierr = TSMonitorSet(ts,TSMonitorDrawSolution,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
290   }
291   opt  = PETSC_FALSE;
292   ierr = PetscOptionsName("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",&opt);CHKERRQ(ierr);
293   if (opt) {
294     TSMonitorDrawCtx ctx;
295     PetscInt         howoften = 1;
296 
297     ierr = PetscOptionsInt("-ts_adjoint_monitor_draw_sensi","Monitor adjoint sensitivities (lambda only) graphically","TSAdjointMonitorDrawSensi",howoften,&howoften,NULL);CHKERRQ(ierr);
298     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
299     ierr = TSAdjointMonitorSet(ts,TSAdjointMonitorDrawSensi,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
300   }
301   opt  = PETSC_FALSE;
302   ierr = PetscOptionsName("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",&opt);CHKERRQ(ierr);
303   if (opt) {
304     TSMonitorDrawCtx ctx;
305     PetscReal        bounds[4];
306     PetscInt         n = 4;
307     PetscDraw        draw;
308     PetscDrawAxis    axis;
309 
310     ierr = PetscOptionsRealArray("-ts_monitor_draw_solution_phase","Monitor solution graphically","TSMonitorDrawSolutionPhase",bounds,&n,NULL);CHKERRQ(ierr);
311     if (n != 4) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Must provide bounding box of phase field");
312     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,1,&ctx);CHKERRQ(ierr);
313     ierr = PetscViewerDrawGetDraw(ctx->viewer,0,&draw);CHKERRQ(ierr);
314     ierr = PetscViewerDrawGetDrawAxis(ctx->viewer,0,&axis);CHKERRQ(ierr);
315     ierr = PetscDrawAxisSetLimits(axis,bounds[0],bounds[2],bounds[1],bounds[3]);CHKERRQ(ierr);
316     ierr = PetscDrawAxisSetLabels(axis,"Phase Diagram","Variable 1","Variable 2");CHKERRQ(ierr);
317     ierr = TSMonitorSet(ts,TSMonitorDrawSolutionPhase,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
318   }
319   opt  = PETSC_FALSE;
320   ierr = PetscOptionsName("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",&opt);CHKERRQ(ierr);
321   if (opt) {
322     TSMonitorDrawCtx ctx;
323     PetscInt         howoften = 1;
324 
325     ierr = PetscOptionsInt("-ts_monitor_draw_error","Monitor error graphically","TSMonitorDrawError",howoften,&howoften,NULL);CHKERRQ(ierr);
326     ierr = TSMonitorDrawCtxCreate(PetscObjectComm((PetscObject)ts),0,0,PETSC_DECIDE,PETSC_DECIDE,300,300,howoften,&ctx);CHKERRQ(ierr);
327     ierr = TSMonitorSet(ts,TSMonitorDrawError,ctx,(PetscErrorCode (*)(void**))TSMonitorDrawCtxDestroy);CHKERRQ(ierr);
328   }
329 
330   opt  = PETSC_FALSE;
331   ierr = PetscOptionsString("-ts_monitor_solution_vtk","Save each time step to a binary file, use filename-%%03D.vts","TSMonitorSolutionVTK",0,monfilename,PETSC_MAX_PATH_LEN,&flg);CHKERRQ(ierr);
332   if (flg) {
333     const char *ptr,*ptr2;
334     char       *filetemplate;
335     if (!monfilename[0]) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
336     /* Do some cursory validation of the input. */
337     ierr = PetscStrstr(monfilename,"%",(char**)&ptr);CHKERRQ(ierr);
338     if (!ptr) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"-ts_monitor_solution_vtk requires a file template, e.g. filename-%%03D.vts");
339     for (ptr++; ptr && *ptr; ptr++) {
340       ierr = PetscStrchr("DdiouxX",*ptr,(char**)&ptr2);CHKERRQ(ierr);
341       if (!ptr2 && (*ptr < '0' || '9' < *ptr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Invalid file template argument to -ts_monitor_solution_vtk, should look like filename-%%03D.vts");
342       if (ptr2) break;
343     }
344     ierr = PetscStrallocpy(monfilename,&filetemplate);CHKERRQ(ierr);
345     ierr = TSMonitorSet(ts,TSMonitorSolutionVTK,filetemplate,(PetscErrorCode (*)(void**))TSMonitorSolutionVTKDestroy);CHKERRQ(ierr);
346   }
347 
348   ierr = PetscOptionsString("-ts_monitor_dmda_ray","Display a ray of the solution","None","y=0",dir,16,&flg);CHKERRQ(ierr);
349   if (flg) {
350     TSMonitorDMDARayCtx *rayctx;
351     int                  ray = 0;
352     DMDADirection        ddir;
353     DM                   da;
354     PetscMPIInt          rank;
355 
356     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
357     if (dir[0] == 'x') ddir = DMDA_X;
358     else if (dir[0] == 'y') ddir = DMDA_Y;
359     else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Unknown ray %s",dir);
360     sscanf(dir+2,"%d",&ray);
361 
362     ierr = PetscInfo2(((PetscObject)ts),"Displaying DMDA ray %c = %D\n",dir[0],ray);CHKERRQ(ierr);
363     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
364     ierr = TSGetDM(ts,&da);CHKERRQ(ierr);
365     ierr = DMDAGetRay(da,ddir,ray,&rayctx->ray,&rayctx->scatter);CHKERRQ(ierr);
366     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)ts),&rank);CHKERRQ(ierr);
367     if (!rank) {
368       ierr = PetscViewerDrawOpen(PETSC_COMM_SELF,0,0,0,0,600,300,&rayctx->viewer);CHKERRQ(ierr);
369     }
370     rayctx->lgctx = NULL;
371     ierr = TSMonitorSet(ts,TSMonitorDMDARay,rayctx,TSMonitorDMDARayDestroy);CHKERRQ(ierr);
372   }
373   ierr = PetscOptionsString("-ts_monitor_lg_dmda_ray","Display a ray of the solution","None","x=0",dir,16,&flg);CHKERRQ(ierr);
374   if (flg) {
375     TSMonitorDMDARayCtx *rayctx;
376     int                 ray = 0;
377     DMDADirection       ddir;
378     DM                  da;
379     PetscInt            howoften = 1;
380 
381     if (dir[1] != '=') SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Malformed ray %s", dir);
382     if      (dir[0] == 'x') ddir = DMDA_X;
383     else if (dir[0] == 'y') ddir = DMDA_Y;
384     else SETERRQ1(PetscObjectComm((PetscObject) ts), PETSC_ERR_ARG_WRONG, "Unknown ray direction %s", dir);
385     sscanf(dir+2, "%d", &ray);
386 
387     ierr = PetscInfo2(((PetscObject) ts),"Displaying LG DMDA ray %c = %D\n", dir[0], ray);CHKERRQ(ierr);
388     ierr = PetscNew(&rayctx);CHKERRQ(ierr);
389     ierr = TSGetDM(ts, &da);CHKERRQ(ierr);
390     ierr = DMDAGetRay(da, ddir, ray, &rayctx->ray, &rayctx->scatter);CHKERRQ(ierr);
391     ierr = TSMonitorLGCtxCreate(PETSC_COMM_SELF,0,0,PETSC_DECIDE,PETSC_DECIDE,600,400,howoften,&rayctx->lgctx);CHKERRQ(ierr);
392     ierr = TSMonitorSet(ts, TSMonitorLGDMDARay, rayctx, TSMonitorDMDARayDestroy);CHKERRQ(ierr);
393   }
394 
395   ierr = PetscOptionsName("-ts_monitor_envelope","Monitor maximum and minimum value of each component of the solution","TSMonitorEnvelope",&opt);CHKERRQ(ierr);
396   if (opt) {
397     TSMonitorEnvelopeCtx ctx;
398 
399     ierr = TSMonitorEnvelopeCtxCreate(ts,&ctx);CHKERRQ(ierr);
400     ierr = TSMonitorSet(ts,TSMonitorEnvelope,ctx,(PetscErrorCode (*)(void**))TSMonitorEnvelopeCtxDestroy);CHKERRQ(ierr);
401   }
402 
403   flg  = PETSC_FALSE;
404   ierr = PetscOptionsBool("-ts_fd_color", "Use finite differences with coloring to compute IJacobian", "TSComputeJacobianDefaultColor", flg, &flg, NULL);CHKERRQ(ierr);
405   if (flg) {
406     DM   dm;
407     DMTS tdm;
408 
409     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
410     ierr = DMGetDMTS(dm, &tdm);CHKERRQ(ierr);
411     tdm->ijacobianctx = NULL;
412     ierr = TSSetIJacobian(ts, NULL, NULL, TSComputeIJacobianDefaultColor, 0);CHKERRQ(ierr);
413     ierr = PetscInfo(ts, "Setting default finite difference coloring Jacobian matrix\n");CHKERRQ(ierr);
414   }
415 
416   if (ts->adapt) {
417     ierr = TSAdaptSetFromOptions(PetscOptionsObject,ts->adapt);CHKERRQ(ierr);
418   }
419 
420   /* Handle specific TS options */
421   if (ts->ops->setfromoptions) {
422     ierr = (*ts->ops->setfromoptions)(PetscOptionsObject,ts);CHKERRQ(ierr);
423   }
424 
425   /* TS trajectory must be set after TS, since it may use some TS options above */
426   tflg = ts->trajectory ? PETSC_TRUE : PETSC_FALSE;
427   ierr = PetscOptionsBool("-ts_save_trajectory","Save the solution at each timestep","TSSetSaveTrajectory",tflg,&tflg,NULL);CHKERRQ(ierr);
428   if (tflg) {
429     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
430   }
431   tflg = ts->adjoint_solve ? PETSC_TRUE : PETSC_FALSE;
432   ierr = PetscOptionsBool("-ts_adjoint_solve","Solve the adjoint problem immediately after solving the forward problem","",tflg,&tflg,&flg);CHKERRQ(ierr);
433   if (flg) {
434     ierr = TSSetSaveTrajectory(ts);CHKERRQ(ierr);
435     ts->adjoint_solve = tflg;
436   }
437 
438   /* process any options handlers added with PetscObjectAddOptionsHandler() */
439   ierr = PetscObjectProcessOptionsHandlers(PetscOptionsObject,(PetscObject)ts);CHKERRQ(ierr);
440   ierr = PetscOptionsEnd();CHKERRQ(ierr);
441 
442   if (ts->trajectory) {
443     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
444   }
445 
446   ierr = TSGetSNES(ts,&ts->snes);CHKERRQ(ierr);
447   if (ts->problem_type == TS_LINEAR) {ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);}
448   ierr = SNESSetFromOptions(ts->snes);CHKERRQ(ierr);
449   PetscFunctionReturn(0);
450 }
451 
452 #undef __FUNCT__
453 #define __FUNCT__ "TSSetSaveTrajectory"
454 /*@
455    TSSetSaveTrajectory - Causes the TS to save its solutions as it iterates forward in time in a TSTrajectory object
456 
457    Collective on TS
458 
459    Input Parameters:
460 .  ts - the TS context obtained from TSCreate()
461 
462 Note: This routine should be called after all TS options have been set
463 
464    Level: intermediate
465 
466 .seealso: TSGetTrajectory(), TSAdjointSolve()
467 
468 .keywords: TS, set, checkpoint,
469 @*/
470 PetscErrorCode  TSSetSaveTrajectory(TS ts)
471 {
472   PetscErrorCode ierr;
473 
474   PetscFunctionBegin;
475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
476   if (!ts->trajectory) {
477     ierr = TSTrajectoryCreate(PetscObjectComm((PetscObject)ts),&ts->trajectory);CHKERRQ(ierr);
478     ierr = TSTrajectorySetFromOptions(ts->trajectory,ts);CHKERRQ(ierr);
479   }
480   PetscFunctionReturn(0);
481 }
482 
483 #undef __FUNCT__
484 #define __FUNCT__ "TSComputeRHSJacobian"
485 /*@
486    TSComputeRHSJacobian - Computes the Jacobian matrix that has been
487       set with TSSetRHSJacobian().
488 
489    Collective on TS and Vec
490 
491    Input Parameters:
492 +  ts - the TS context
493 .  t - current timestep
494 -  U - input vector
495 
496    Output Parameters:
497 +  A - Jacobian matrix
498 .  B - optional preconditioning matrix
499 -  flag - flag indicating matrix structure
500 
501    Notes:
502    Most users should not need to explicitly call this routine, as it
503    is used internally within the nonlinear solvers.
504 
505    See KSPSetOperators() for important information about setting the
506    flag parameter.
507 
508    Level: developer
509 
510 .keywords: SNES, compute, Jacobian, matrix
511 
512 .seealso:  TSSetRHSJacobian(), KSPSetOperators()
513 @*/
514 PetscErrorCode  TSComputeRHSJacobian(TS ts,PetscReal t,Vec U,Mat A,Mat B)
515 {
516   PetscErrorCode ierr;
517   PetscObjectState Ustate;
518   DM             dm;
519   DMTS           tsdm;
520   TSRHSJacobian  rhsjacobianfunc;
521   void           *ctx;
522   TSIJacobian    ijacobianfunc;
523   TSRHSFunction  rhsfunction;
524 
525   PetscFunctionBegin;
526   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
527   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
528   PetscCheckSameComm(ts,1,U,3);
529   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
530   ierr = DMGetDMTS(dm,&tsdm);CHKERRQ(ierr);
531   ierr = DMTSGetRHSJacobian(dm,&rhsjacobianfunc,&ctx);CHKERRQ(ierr);
532   ierr = DMTSGetIJacobian(dm,&ijacobianfunc,NULL);CHKERRQ(ierr);
533   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
534   ierr = PetscObjectStateGet((PetscObject)U,&Ustate);CHKERRQ(ierr);
535   if (ts->rhsjacobian.time == t && (ts->problem_type == TS_LINEAR || (ts->rhsjacobian.X == U && ts->rhsjacobian.Xstate == Ustate)) && (rhsfunction != TSComputeRHSFunctionLinear)) {
536     PetscFunctionReturn(0);
537   }
538 
539   if (!rhsjacobianfunc && !ijacobianfunc) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
540 
541   if (ts->rhsjacobian.reuse) {
542     ierr = MatShift(A,-ts->rhsjacobian.shift);CHKERRQ(ierr);
543     ierr = MatScale(A,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
544     if (A != B) {
545       ierr = MatShift(B,-ts->rhsjacobian.shift);CHKERRQ(ierr);
546       ierr = MatScale(B,1./ts->rhsjacobian.scale);CHKERRQ(ierr);
547     }
548     ts->rhsjacobian.shift = 0;
549     ts->rhsjacobian.scale = 1.;
550   }
551 
552   if (rhsjacobianfunc) {
553     PetscBool missing;
554     ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
555     PetscStackPush("TS user Jacobian function");
556     ierr = (*rhsjacobianfunc)(ts,t,U,A,B,ctx);CHKERRQ(ierr);
557     PetscStackPop;
558     ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
559     if (A) {
560       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
561       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
562     }
563     if (B && B != A) {
564       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
565       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetRHSJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
566     }
567   } else {
568     ierr = MatZeroEntries(A);CHKERRQ(ierr);
569     if (A != B) {ierr = MatZeroEntries(B);CHKERRQ(ierr);}
570   }
571   ts->rhsjacobian.time       = t;
572   ts->rhsjacobian.X          = U;
573   ierr                       = PetscObjectStateGet((PetscObject)U,&ts->rhsjacobian.Xstate);CHKERRQ(ierr);
574   PetscFunctionReturn(0);
575 }
576 
577 #undef __FUNCT__
578 #define __FUNCT__ "TSComputeRHSFunction"
579 /*@
580    TSComputeRHSFunction - Evaluates the right-hand-side function.
581 
582    Collective on TS and Vec
583 
584    Input Parameters:
585 +  ts - the TS context
586 .  t - current time
587 -  U - state vector
588 
589    Output Parameter:
590 .  y - right hand side
591 
592    Note:
593    Most users should not need to explicitly call this routine, as it
594    is used internally within the nonlinear solvers.
595 
596    Level: developer
597 
598 .keywords: TS, compute
599 
600 .seealso: TSSetRHSFunction(), TSComputeIFunction()
601 @*/
602 PetscErrorCode TSComputeRHSFunction(TS ts,PetscReal t,Vec U,Vec y)
603 {
604   PetscErrorCode ierr;
605   TSRHSFunction  rhsfunction;
606   TSIFunction    ifunction;
607   void           *ctx;
608   DM             dm;
609 
610   PetscFunctionBegin;
611   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
612   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
613   PetscValidHeaderSpecific(y,VEC_CLASSID,4);
614   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
615   ierr = DMTSGetRHSFunction(dm,&rhsfunction,&ctx);CHKERRQ(ierr);
616   ierr = DMTSGetIFunction(dm,&ifunction,NULL);CHKERRQ(ierr);
617 
618   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
619 
620   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
621   if (rhsfunction) {
622     PetscStackPush("TS user right-hand-side function");
623     ierr = (*rhsfunction)(ts,t,U,y,ctx);CHKERRQ(ierr);
624     PetscStackPop;
625   } else {
626     ierr = VecZeroEntries(y);CHKERRQ(ierr);
627   }
628 
629   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,y,0);CHKERRQ(ierr);
630   PetscFunctionReturn(0);
631 }
632 
633 #undef __FUNCT__
634 #define __FUNCT__ "TSComputeSolutionFunction"
635 /*@
636    TSComputeSolutionFunction - Evaluates the solution function.
637 
638    Collective on TS and Vec
639 
640    Input Parameters:
641 +  ts - the TS context
642 -  t - current time
643 
644    Output Parameter:
645 .  U - the solution
646 
647    Note:
648    Most users should not need to explicitly call this routine, as it
649    is used internally within the nonlinear solvers.
650 
651    Level: developer
652 
653 .keywords: TS, compute
654 
655 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
656 @*/
657 PetscErrorCode TSComputeSolutionFunction(TS ts,PetscReal t,Vec U)
658 {
659   PetscErrorCode     ierr;
660   TSSolutionFunction solutionfunction;
661   void               *ctx;
662   DM                 dm;
663 
664   PetscFunctionBegin;
665   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
666   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
667   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
668   ierr = DMTSGetSolutionFunction(dm,&solutionfunction,&ctx);CHKERRQ(ierr);
669 
670   if (solutionfunction) {
671     PetscStackPush("TS user solution function");
672     ierr = (*solutionfunction)(ts,t,U,ctx);CHKERRQ(ierr);
673     PetscStackPop;
674   }
675   PetscFunctionReturn(0);
676 }
677 #undef __FUNCT__
678 #define __FUNCT__ "TSComputeForcingFunction"
679 /*@
680    TSComputeForcingFunction - Evaluates the forcing function.
681 
682    Collective on TS and Vec
683 
684    Input Parameters:
685 +  ts - the TS context
686 -  t - current time
687 
688    Output Parameter:
689 .  U - the function value
690 
691    Note:
692    Most users should not need to explicitly call this routine, as it
693    is used internally within the nonlinear solvers.
694 
695    Level: developer
696 
697 .keywords: TS, compute
698 
699 .seealso: TSSetSolutionFunction(), TSSetRHSFunction(), TSComputeIFunction()
700 @*/
701 PetscErrorCode TSComputeForcingFunction(TS ts,PetscReal t,Vec U)
702 {
703   PetscErrorCode     ierr, (*forcing)(TS,PetscReal,Vec,void*);
704   void               *ctx;
705   DM                 dm;
706 
707   PetscFunctionBegin;
708   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
709   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
710   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
711   ierr = DMTSGetForcingFunction(dm,&forcing,&ctx);CHKERRQ(ierr);
712 
713   if (forcing) {
714     PetscStackPush("TS user forcing function");
715     ierr = (*forcing)(ts,t,U,ctx);CHKERRQ(ierr);
716     PetscStackPop;
717   }
718   PetscFunctionReturn(0);
719 }
720 
721 #undef __FUNCT__
722 #define __FUNCT__ "TSGetRHSVec_Private"
723 static PetscErrorCode TSGetRHSVec_Private(TS ts,Vec *Frhs)
724 {
725   Vec            F;
726   PetscErrorCode ierr;
727 
728   PetscFunctionBegin;
729   *Frhs = NULL;
730   ierr  = TSGetIFunction(ts,&F,NULL,NULL);CHKERRQ(ierr);
731   if (!ts->Frhs) {
732     ierr = VecDuplicate(F,&ts->Frhs);CHKERRQ(ierr);
733   }
734   *Frhs = ts->Frhs;
735   PetscFunctionReturn(0);
736 }
737 
738 #undef __FUNCT__
739 #define __FUNCT__ "TSGetRHSMats_Private"
740 static PetscErrorCode TSGetRHSMats_Private(TS ts,Mat *Arhs,Mat *Brhs)
741 {
742   Mat            A,B;
743   PetscErrorCode ierr;
744 
745   PetscFunctionBegin;
746   if (Arhs) *Arhs = NULL;
747   if (Brhs) *Brhs = NULL;
748   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
749   if (Arhs) {
750     if (!ts->Arhs) {
751       ierr = MatDuplicate(A,MAT_DO_NOT_COPY_VALUES,&ts->Arhs);CHKERRQ(ierr);
752     }
753     *Arhs = ts->Arhs;
754   }
755   if (Brhs) {
756     if (!ts->Brhs) {
757       if (A != B) {
758         ierr = MatDuplicate(B,MAT_DO_NOT_COPY_VALUES,&ts->Brhs);CHKERRQ(ierr);
759       } else {
760         ierr = PetscObjectReference((PetscObject)ts->Arhs);CHKERRQ(ierr);
761         ts->Brhs = ts->Arhs;
762       }
763     }
764     *Brhs = ts->Brhs;
765   }
766   PetscFunctionReturn(0);
767 }
768 
769 #undef __FUNCT__
770 #define __FUNCT__ "TSComputeIFunction"
771 /*@
772    TSComputeIFunction - Evaluates the DAE residual written in implicit form F(t,U,Udot)=0
773 
774    Collective on TS and Vec
775 
776    Input Parameters:
777 +  ts - the TS context
778 .  t - current time
779 .  U - state vector
780 .  Udot - time derivative of state vector
781 -  imex - flag indicates if the method is IMEX so that the RHSFunction should be kept separate
782 
783    Output Parameter:
784 .  Y - right hand side
785 
786    Note:
787    Most users should not need to explicitly call this routine, as it
788    is used internally within the nonlinear solvers.
789 
790    If the user did did not write their equations in implicit form, this
791    function recasts them in implicit form.
792 
793    Level: developer
794 
795 .keywords: TS, compute
796 
797 .seealso: TSSetIFunction(), TSComputeRHSFunction()
798 @*/
799 PetscErrorCode TSComputeIFunction(TS ts,PetscReal t,Vec U,Vec Udot,Vec Y,PetscBool imex)
800 {
801   PetscErrorCode ierr;
802   TSIFunction    ifunction;
803   TSRHSFunction  rhsfunction;
804   void           *ctx;
805   DM             dm;
806 
807   PetscFunctionBegin;
808   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
809   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
810   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
811   PetscValidHeaderSpecific(Y,VEC_CLASSID,5);
812 
813   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
814   ierr = DMTSGetIFunction(dm,&ifunction,&ctx);CHKERRQ(ierr);
815   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
816 
817   if (!rhsfunction && !ifunction) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSFunction() and / or TSSetIFunction()");
818 
819   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
820   if (ifunction) {
821     PetscStackPush("TS user implicit function");
822     ierr = (*ifunction)(ts,t,U,Udot,Y,ctx);CHKERRQ(ierr);
823     PetscStackPop;
824   }
825   if (imex) {
826     if (!ifunction) {
827       ierr = VecCopy(Udot,Y);CHKERRQ(ierr);
828     }
829   } else if (rhsfunction) {
830     if (ifunction) {
831       Vec Frhs;
832       ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
833       ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
834       ierr = VecAXPY(Y,-1,Frhs);CHKERRQ(ierr);
835     } else {
836       ierr = TSComputeRHSFunction(ts,t,U,Y);CHKERRQ(ierr);
837       ierr = VecAYPX(Y,-1,Udot);CHKERRQ(ierr);
838     }
839   }
840   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,Udot,Y);CHKERRQ(ierr);
841   PetscFunctionReturn(0);
842 }
843 
844 #undef __FUNCT__
845 #define __FUNCT__ "TSComputeIJacobian"
846 /*@
847    TSComputeIJacobian - Evaluates the Jacobian of the DAE
848 
849    Collective on TS and Vec
850 
851    Input
852       Input Parameters:
853 +  ts - the TS context
854 .  t - current timestep
855 .  U - state vector
856 .  Udot - time derivative of state vector
857 .  shift - shift to apply, see note below
858 -  imex - flag indicates if the method is IMEX so that the RHSJacobian should be kept separate
859 
860    Output Parameters:
861 +  A - Jacobian matrix
862 .  B - optional preconditioning matrix
863 -  flag - flag indicating matrix structure
864 
865    Notes:
866    If F(t,U,Udot)=0 is the DAE, the required Jacobian is
867 
868    dF/dU + shift*dF/dUdot
869 
870    Most users should not need to explicitly call this routine, as it
871    is used internally within the nonlinear solvers.
872 
873    Level: developer
874 
875 .keywords: TS, compute, Jacobian, matrix
876 
877 .seealso:  TSSetIJacobian()
878 @*/
879 PetscErrorCode TSComputeIJacobian(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,PetscBool imex)
880 {
881   PetscErrorCode ierr;
882   TSIJacobian    ijacobian;
883   TSRHSJacobian  rhsjacobian;
884   DM             dm;
885   void           *ctx;
886 
887   PetscFunctionBegin;
888   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
889   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
890   PetscValidHeaderSpecific(Udot,VEC_CLASSID,4);
891   PetscValidPointer(A,6);
892   PetscValidHeaderSpecific(A,MAT_CLASSID,6);
893   PetscValidPointer(B,7);
894   PetscValidHeaderSpecific(B,MAT_CLASSID,7);
895 
896   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
897   ierr = DMTSGetIJacobian(dm,&ijacobian,&ctx);CHKERRQ(ierr);
898   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
899 
900   if (!rhsjacobian && !ijacobian) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_USER,"Must call TSSetRHSJacobian() and / or TSSetIJacobian()");
901 
902   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
903   if (ijacobian) {
904     PetscBool missing;
905     PetscStackPush("TS user implicit Jacobian");
906     ierr = (*ijacobian)(ts,t,U,Udot,shift,A,B,ctx);CHKERRQ(ierr);
907     PetscStackPop;
908     if (A) {
909       ierr = MatMissingDiagonal(A,&missing,NULL);CHKERRQ(ierr);
910       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Amat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
911     }
912     if (B && B != A) {
913       ierr = MatMissingDiagonal(B,&missing,NULL);CHKERRQ(ierr);
914       if (missing) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Bmat passed to TSSetIJacobian() must have all diagonal entries set, if they are zero you must still set them with a zero value");
915     }
916   }
917   if (imex) {
918     if (!ijacobian) {  /* system was written as Udot = G(t,U) */
919       ierr = MatZeroEntries(A);CHKERRQ(ierr);
920       ierr = MatShift(A,shift);CHKERRQ(ierr);
921       if (A != B) {
922         ierr = MatZeroEntries(B);CHKERRQ(ierr);
923         ierr = MatShift(B,shift);CHKERRQ(ierr);
924       }
925     }
926   } else {
927     Mat Arhs = NULL,Brhs = NULL;
928     if (rhsjacobian) {
929       ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
930       ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
931     }
932     if (Arhs == A) {           /* No IJacobian, so we only have the RHS matrix */
933       ts->rhsjacobian.scale = -1;
934       ts->rhsjacobian.shift = shift;
935       ierr = MatScale(A,-1);CHKERRQ(ierr);
936       ierr = MatShift(A,shift);CHKERRQ(ierr);
937       if (A != B) {
938         ierr = MatScale(B,-1);CHKERRQ(ierr);
939         ierr = MatShift(B,shift);CHKERRQ(ierr);
940       }
941     } else if (Arhs) {          /* Both IJacobian and RHSJacobian */
942       MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
943       if (!ijacobian) {         /* No IJacobian provided, but we have a separate RHS matrix */
944         ierr = MatZeroEntries(A);CHKERRQ(ierr);
945         ierr = MatShift(A,shift);CHKERRQ(ierr);
946         if (A != B) {
947           ierr = MatZeroEntries(B);CHKERRQ(ierr);
948           ierr = MatShift(B,shift);CHKERRQ(ierr);
949         }
950       }
951       ierr = MatAXPY(A,-1,Arhs,axpy);CHKERRQ(ierr);
952       if (A != B) {
953         ierr = MatAXPY(B,-1,Brhs,axpy);CHKERRQ(ierr);
954       }
955     }
956   }
957   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,A,B);CHKERRQ(ierr);
958   PetscFunctionReturn(0);
959 }
960 
961 #undef __FUNCT__
962 #define __FUNCT__ "TSSetRHSFunction"
963 /*@C
964     TSSetRHSFunction - Sets the routine for evaluating the function,
965     where U_t = G(t,u).
966 
967     Logically Collective on TS
968 
969     Input Parameters:
970 +   ts - the TS context obtained from TSCreate()
971 .   r - vector to put the computed right hand side (or NULL to have it created)
972 .   f - routine for evaluating the right-hand-side function
973 -   ctx - [optional] user-defined context for private data for the
974           function evaluation routine (may be NULL)
975 
976     Calling sequence of func:
977 $     func (TS ts,PetscReal t,Vec u,Vec F,void *ctx);
978 
979 +   t - current timestep
980 .   u - input vector
981 .   F - function vector
982 -   ctx - [optional] user-defined function context
983 
984     Level: beginner
985 
986     Notes: You must call this function or TSSetIFunction() to define your ODE. You cannot use this function when solving a DAE.
987 
988 .keywords: TS, timestep, set, right-hand-side, function
989 
990 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSSetIFunction()
991 @*/
992 PetscErrorCode  TSSetRHSFunction(TS ts,Vec r,PetscErrorCode (*f)(TS,PetscReal,Vec,Vec,void*),void *ctx)
993 {
994   PetscErrorCode ierr;
995   SNES           snes;
996   Vec            ralloc = NULL;
997   DM             dm;
998 
999   PetscFunctionBegin;
1000   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1001   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1002 
1003   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1004   ierr = DMTSSetRHSFunction(dm,f,ctx);CHKERRQ(ierr);
1005   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1006   if (!r && !ts->dm && ts->vec_sol) {
1007     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1008     r = ralloc;
1009   }
1010   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1011   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1012   PetscFunctionReturn(0);
1013 }
1014 
1015 #undef __FUNCT__
1016 #define __FUNCT__ "TSSetSolutionFunction"
1017 /*@C
1018     TSSetSolutionFunction - Provide a function that computes the solution of the ODE or DAE
1019 
1020     Logically Collective on TS
1021 
1022     Input Parameters:
1023 +   ts - the TS context obtained from TSCreate()
1024 .   f - routine for evaluating the solution
1025 -   ctx - [optional] user-defined context for private data for the
1026           function evaluation routine (may be NULL)
1027 
1028     Calling sequence of func:
1029 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1030 
1031 +   t - current timestep
1032 .   u - output vector
1033 -   ctx - [optional] user-defined function context
1034 
1035     Notes:
1036     This routine is used for testing accuracy of time integration schemes when you already know the solution.
1037     If analytic solutions are not known for your system, consider using the Method of Manufactured Solutions to
1038     create closed-form solutions with non-physical forcing terms.
1039 
1040     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1041 
1042     Level: beginner
1043 
1044 .keywords: TS, timestep, set, right-hand-side, function
1045 
1046 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetForcingFunction()
1047 @*/
1048 PetscErrorCode  TSSetSolutionFunction(TS ts,PetscErrorCode (*f)(TS,PetscReal,Vec,void*),void *ctx)
1049 {
1050   PetscErrorCode ierr;
1051   DM             dm;
1052 
1053   PetscFunctionBegin;
1054   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1055   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1056   ierr = DMTSSetSolutionFunction(dm,f,ctx);CHKERRQ(ierr);
1057   PetscFunctionReturn(0);
1058 }
1059 
1060 #undef __FUNCT__
1061 #define __FUNCT__ "TSSetForcingFunction"
1062 /*@C
1063     TSSetForcingFunction - Provide a function that computes a forcing term for a ODE or PDE
1064 
1065     Logically Collective on TS
1066 
1067     Input Parameters:
1068 +   ts - the TS context obtained from TSCreate()
1069 .   f - routine for evaluating the forcing function
1070 -   ctx - [optional] user-defined context for private data for the
1071           function evaluation routine (may be NULL)
1072 
1073     Calling sequence of func:
1074 $     func (TS ts,PetscReal t,Vec u,void *ctx);
1075 
1076 +   t - current timestep
1077 .   u - output vector
1078 -   ctx - [optional] user-defined function context
1079 
1080     Notes:
1081     This routine is useful for testing accuracy of time integration schemes when using the Method of Manufactured Solutions to
1082     create closed-form solutions with a non-physical forcing term.
1083 
1084     For low-dimensional problems solved in serial, such as small discrete systems, TSMonitorLGError() can be used to monitor the error history.
1085 
1086     Level: beginner
1087 
1088 .keywords: TS, timestep, set, right-hand-side, function
1089 
1090 .seealso: TSSetRHSJacobian(), TSSetIJacobian(), TSComputeSolutionFunction(), TSSetSolutionFunction()
1091 @*/
1092 PetscErrorCode  TSSetForcingFunction(TS ts,TSForcingFunction f,void *ctx)
1093 {
1094   PetscErrorCode ierr;
1095   DM             dm;
1096 
1097   PetscFunctionBegin;
1098   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1099   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1100   ierr = DMTSSetForcingFunction(dm,f,ctx);CHKERRQ(ierr);
1101   PetscFunctionReturn(0);
1102 }
1103 
1104 #undef __FUNCT__
1105 #define __FUNCT__ "TSSetRHSJacobian"
1106 /*@C
1107    TSSetRHSJacobian - Sets the function to compute the Jacobian of G,
1108    where U_t = G(U,t), as well as the location to store the matrix.
1109 
1110    Logically Collective on TS
1111 
1112    Input Parameters:
1113 +  ts  - the TS context obtained from TSCreate()
1114 .  Amat - (approximate) Jacobian matrix
1115 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1116 .  f   - the Jacobian evaluation routine
1117 -  ctx - [optional] user-defined context for private data for the
1118          Jacobian evaluation routine (may be NULL)
1119 
1120    Calling sequence of f:
1121 $     func (TS ts,PetscReal t,Vec u,Mat A,Mat B,void *ctx);
1122 
1123 +  t - current timestep
1124 .  u - input vector
1125 .  Amat - (approximate) Jacobian matrix
1126 .  Pmat - matrix from which preconditioner is to be constructed (usually the same as Amat)
1127 -  ctx - [optional] user-defined context for matrix evaluation routine
1128 
1129    Notes:
1130    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1131 
1132    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1133    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1134 
1135    Level: beginner
1136 
1137 .keywords: TS, timestep, set, right-hand-side, Jacobian
1138 
1139 .seealso: SNESComputeJacobianDefaultColor(), TSSetRHSFunction(), TSRHSJacobianSetReuse(), TSSetIJacobian()
1140 
1141 @*/
1142 PetscErrorCode  TSSetRHSJacobian(TS ts,Mat Amat,Mat Pmat,TSRHSJacobian f,void *ctx)
1143 {
1144   PetscErrorCode ierr;
1145   SNES           snes;
1146   DM             dm;
1147   TSIJacobian    ijacobian;
1148 
1149   PetscFunctionBegin;
1150   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1151   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1152   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1153   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1154   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1155 
1156   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1157   ierr = DMTSSetRHSJacobian(dm,f,ctx);CHKERRQ(ierr);
1158   if (f == TSComputeRHSJacobianConstant) {
1159     /* Handle this case automatically for the user; otherwise user should call themselves. */
1160     ierr = TSRHSJacobianSetReuse(ts,PETSC_TRUE);CHKERRQ(ierr);
1161   }
1162   ierr = DMTSGetIJacobian(dm,&ijacobian,NULL);CHKERRQ(ierr);
1163   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1164   if (!ijacobian) {
1165     ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1166   }
1167   if (Amat) {
1168     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
1169     ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
1170     ts->Arhs = Amat;
1171   }
1172   if (Pmat) {
1173     ierr = PetscObjectReference((PetscObject)Pmat);CHKERRQ(ierr);
1174     ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
1175     ts->Brhs = Pmat;
1176   }
1177   PetscFunctionReturn(0);
1178 }
1179 
1180 
1181 #undef __FUNCT__
1182 #define __FUNCT__ "TSSetIFunction"
1183 /*@C
1184    TSSetIFunction - Set the function to compute F(t,U,U_t) where F() = 0 is the DAE to be solved.
1185 
1186    Logically Collective on TS
1187 
1188    Input Parameters:
1189 +  ts  - the TS context obtained from TSCreate()
1190 .  r   - vector to hold the residual (or NULL to have it created internally)
1191 .  f   - the function evaluation routine
1192 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1193 
1194    Calling sequence of f:
1195 $  f(TS ts,PetscReal t,Vec u,Vec u_t,Vec F,ctx);
1196 
1197 +  t   - time at step/stage being solved
1198 .  u   - state vector
1199 .  u_t - time derivative of state vector
1200 .  F   - function vector
1201 -  ctx - [optional] user-defined context for matrix evaluation routine
1202 
1203    Important:
1204    The user MUST call either this routine or TSSetRHSFunction() to define the ODE.  When solving DAEs you must use this function.
1205 
1206    Level: beginner
1207 
1208 .keywords: TS, timestep, set, DAE, Jacobian
1209 
1210 .seealso: TSSetRHSJacobian(), TSSetRHSFunction(), TSSetIJacobian()
1211 @*/
1212 PetscErrorCode  TSSetIFunction(TS ts,Vec r,TSIFunction f,void *ctx)
1213 {
1214   PetscErrorCode ierr;
1215   SNES           snes;
1216   Vec            ralloc = NULL;
1217   DM             dm;
1218 
1219   PetscFunctionBegin;
1220   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1221   if (r) PetscValidHeaderSpecific(r,VEC_CLASSID,2);
1222 
1223   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1224   ierr = DMTSSetIFunction(dm,f,ctx);CHKERRQ(ierr);
1225 
1226   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1227   if (!r && !ts->dm && ts->vec_sol) {
1228     ierr = VecDuplicate(ts->vec_sol,&ralloc);CHKERRQ(ierr);
1229     r  = ralloc;
1230   }
1231   ierr = SNESSetFunction(snes,r,SNESTSFormFunction,ts);CHKERRQ(ierr);
1232   ierr = VecDestroy(&ralloc);CHKERRQ(ierr);
1233   PetscFunctionReturn(0);
1234 }
1235 
1236 #undef __FUNCT__
1237 #define __FUNCT__ "TSGetIFunction"
1238 /*@C
1239    TSGetIFunction - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1240 
1241    Not Collective
1242 
1243    Input Parameter:
1244 .  ts - the TS context
1245 
1246    Output Parameter:
1247 +  r - vector to hold residual (or NULL)
1248 .  func - the function to compute residual (or NULL)
1249 -  ctx - the function context (or NULL)
1250 
1251    Level: advanced
1252 
1253 .keywords: TS, nonlinear, get, function
1254 
1255 .seealso: TSSetIFunction(), SNESGetFunction()
1256 @*/
1257 PetscErrorCode TSGetIFunction(TS ts,Vec *r,TSIFunction *func,void **ctx)
1258 {
1259   PetscErrorCode ierr;
1260   SNES           snes;
1261   DM             dm;
1262 
1263   PetscFunctionBegin;
1264   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1265   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1266   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1267   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1268   ierr = DMTSGetIFunction(dm,func,ctx);CHKERRQ(ierr);
1269   PetscFunctionReturn(0);
1270 }
1271 
1272 #undef __FUNCT__
1273 #define __FUNCT__ "TSGetRHSFunction"
1274 /*@C
1275    TSGetRHSFunction - Returns the vector where the right hand side is stored and the function/context to compute it.
1276 
1277    Not Collective
1278 
1279    Input Parameter:
1280 .  ts - the TS context
1281 
1282    Output Parameter:
1283 +  r - vector to hold computed right hand side (or NULL)
1284 .  func - the function to compute right hand side (or NULL)
1285 -  ctx - the function context (or NULL)
1286 
1287    Level: advanced
1288 
1289 .keywords: TS, nonlinear, get, function
1290 
1291 .seealso: TSSetRHSFunction(), SNESGetFunction()
1292 @*/
1293 PetscErrorCode TSGetRHSFunction(TS ts,Vec *r,TSRHSFunction *func,void **ctx)
1294 {
1295   PetscErrorCode ierr;
1296   SNES           snes;
1297   DM             dm;
1298 
1299   PetscFunctionBegin;
1300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1301   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1302   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1303   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1304   ierr = DMTSGetRHSFunction(dm,func,ctx);CHKERRQ(ierr);
1305   PetscFunctionReturn(0);
1306 }
1307 
1308 #undef __FUNCT__
1309 #define __FUNCT__ "TSSetIJacobian"
1310 /*@C
1311    TSSetIJacobian - Set the function to compute the matrix dF/dU + a*dF/dU_t where F(t,U,U_t) is the function
1312         provided with TSSetIFunction().
1313 
1314    Logically Collective on TS
1315 
1316    Input Parameters:
1317 +  ts  - the TS context obtained from TSCreate()
1318 .  Amat - (approximate) Jacobian matrix
1319 .  Pmat - matrix used to compute preconditioner (usually the same as Amat)
1320 .  f   - the Jacobian evaluation routine
1321 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1322 
1323    Calling sequence of f:
1324 $  f(TS ts,PetscReal t,Vec U,Vec U_t,PetscReal a,Mat Amat,Mat Pmat,void *ctx);
1325 
1326 +  t    - time at step/stage being solved
1327 .  U    - state vector
1328 .  U_t  - time derivative of state vector
1329 .  a    - shift
1330 .  Amat - (approximate) Jacobian of F(t,U,W+a*U), equivalent to dF/dU + a*dF/dU_t
1331 .  Pmat - matrix used for constructing preconditioner, usually the same as Amat
1332 -  ctx  - [optional] user-defined context for matrix evaluation routine
1333 
1334    Notes:
1335    The matrices Amat and Pmat are exactly the matrices that are used by SNES for the nonlinear solve.
1336 
1337    If you know the operator Amat has a null space you can use MatSetNullSpace() and MatSetTransposeNullSpace() to supply the null
1338    space to Amat and the KSP solvers will automatically use that null space as needed during the solution process.
1339 
1340    The matrix dF/dU + a*dF/dU_t you provide turns out to be
1341    the Jacobian of F(t,U,W+a*U) where F(t,U,U_t) = 0 is the DAE to be solved.
1342    The time integrator internally approximates U_t by W+a*U where the positive "shift"
1343    a and vector W depend on the integration method, step size, and past states. For example with
1344    the backward Euler method a = 1/dt and W = -a*U(previous timestep) so
1345    W + a*U = a*(U - U(previous timestep)) = (U - U(previous timestep))/dt
1346 
1347    You must set all the diagonal entries of the matrices, if they are zero you must still set them with a zero value
1348 
1349    The TS solver may modify the nonzero structure and the entries of the matrices Amat and Pmat between the calls to f()
1350    You should not assume the values are the same in the next call to f() as you set them in the previous call.
1351 
1352    Level: beginner
1353 
1354 .keywords: TS, timestep, DAE, Jacobian
1355 
1356 .seealso: TSSetIFunction(), TSSetRHSJacobian(), SNESComputeJacobianDefaultColor(), SNESComputeJacobianDefault(), TSSetRHSFunction()
1357 
1358 @*/
1359 PetscErrorCode  TSSetIJacobian(TS ts,Mat Amat,Mat Pmat,TSIJacobian f,void *ctx)
1360 {
1361   PetscErrorCode ierr;
1362   SNES           snes;
1363   DM             dm;
1364 
1365   PetscFunctionBegin;
1366   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1367   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
1368   if (Pmat) PetscValidHeaderSpecific(Pmat,MAT_CLASSID,3);
1369   if (Amat) PetscCheckSameComm(ts,1,Amat,2);
1370   if (Pmat) PetscCheckSameComm(ts,1,Pmat,3);
1371 
1372   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1373   ierr = DMTSSetIJacobian(dm,f,ctx);CHKERRQ(ierr);
1374 
1375   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1376   ierr = SNESSetJacobian(snes,Amat,Pmat,SNESTSFormJacobian,ts);CHKERRQ(ierr);
1377   PetscFunctionReturn(0);
1378 }
1379 
1380 #undef __FUNCT__
1381 #define __FUNCT__ "TSRHSJacobianSetReuse"
1382 /*@
1383    TSRHSJacobianSetReuse - restore RHS Jacobian before re-evaluating.  Without this flag, TS will change the sign and
1384    shift the RHS Jacobian for a finite-time-step implicit solve, in which case the user function will need to recompute
1385    the entire Jacobian.  The reuse flag must be set if the evaluation function will assume that the matrix entries have
1386    not been changed by the TS.
1387 
1388    Logically Collective
1389 
1390    Input Arguments:
1391 +  ts - TS context obtained from TSCreate()
1392 -  reuse - PETSC_TRUE if the RHS Jacobian
1393 
1394    Level: intermediate
1395 
1396 .seealso: TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
1397 @*/
1398 PetscErrorCode TSRHSJacobianSetReuse(TS ts,PetscBool reuse)
1399 {
1400   PetscFunctionBegin;
1401   ts->rhsjacobian.reuse = reuse;
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "TSSetI2Function"
1407 /*@C
1408    TSSetI2Function - Set the function to compute F(t,U,U_t,U_tt) where F = 0 is the DAE to be solved.
1409 
1410    Logically Collective on TS
1411 
1412    Input Parameters:
1413 +  ts  - the TS context obtained from TSCreate()
1414 .  F   - vector to hold the residual (or NULL to have it created internally)
1415 .  fun - the function evaluation routine
1416 -  ctx - user-defined context for private data for the function evaluation routine (may be NULL)
1417 
1418    Calling sequence of fun:
1419 $  fun(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,Vec F,ctx);
1420 
1421 +  t    - time at step/stage being solved
1422 .  U    - state vector
1423 .  U_t  - time derivative of state vector
1424 .  U_tt - second time derivative of state vector
1425 .  F    - function vector
1426 -  ctx  - [optional] user-defined context for matrix evaluation routine (may be NULL)
1427 
1428    Level: beginner
1429 
1430 .keywords: TS, timestep, set, ODE, DAE, Function
1431 
1432 .seealso: TSSetI2Jacobian()
1433 @*/
1434 PetscErrorCode TSSetI2Function(TS ts,Vec F,TSI2Function fun,void *ctx)
1435 {
1436   DM             dm;
1437   PetscErrorCode ierr;
1438 
1439   PetscFunctionBegin;
1440   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1441   if (F) PetscValidHeaderSpecific(F,VEC_CLASSID,2);
1442   ierr = TSSetIFunction(ts,F,NULL,NULL);CHKERRQ(ierr);
1443   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1444   ierr = DMTSSetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1445   PetscFunctionReturn(0);
1446 }
1447 
1448 #undef __FUNCT__
1449 #define __FUNCT__ "TSGetI2Function"
1450 /*@C
1451   TSGetI2Function - Returns the vector where the implicit residual is stored and the function/contex to compute it.
1452 
1453   Not Collective
1454 
1455   Input Parameter:
1456 . ts - the TS context
1457 
1458   Output Parameter:
1459 + r - vector to hold residual (or NULL)
1460 . fun - the function to compute residual (or NULL)
1461 - ctx - the function context (or NULL)
1462 
1463   Level: advanced
1464 
1465 .keywords: TS, nonlinear, get, function
1466 
1467 .seealso: TSSetI2Function(), SNESGetFunction()
1468 @*/
1469 PetscErrorCode TSGetI2Function(TS ts,Vec *r,TSI2Function *fun,void **ctx)
1470 {
1471   PetscErrorCode ierr;
1472   SNES           snes;
1473   DM             dm;
1474 
1475   PetscFunctionBegin;
1476   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1477   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1478   ierr = SNESGetFunction(snes,r,NULL,NULL);CHKERRQ(ierr);
1479   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1480   ierr = DMTSGetI2Function(dm,fun,ctx);CHKERRQ(ierr);
1481   PetscFunctionReturn(0);
1482 }
1483 
1484 #undef __FUNCT__
1485 #define __FUNCT__ "TSSetI2Jacobian"
1486 /*@C
1487    TSSetI2Jacobian - Set the function to compute the matrix dF/dU + v*dF/dU_t  + a*dF/dU_tt
1488         where F(t,U,U_t,U_tt) is the function you provided with TSSetI2Function().
1489 
1490    Logically Collective on TS
1491 
1492    Input Parameters:
1493 +  ts  - the TS context obtained from TSCreate()
1494 .  J   - Jacobian matrix
1495 .  P   - preconditioning matrix for J (may be same as J)
1496 .  jac - the Jacobian evaluation routine
1497 -  ctx - user-defined context for private data for the Jacobian evaluation routine (may be NULL)
1498 
1499    Calling sequence of jac:
1500 $  jac(TS ts,PetscReal t,Vec U,Vec U_t,Vec U_tt,PetscReal v,PetscReal a,Mat J,Mat P,void *ctx);
1501 
1502 +  t    - time at step/stage being solved
1503 .  U    - state vector
1504 .  U_t  - time derivative of state vector
1505 .  U_tt - second time derivative of state vector
1506 .  v    - shift for U_t
1507 .  a    - shift for U_tt
1508 .  J    - Jacobian of G(U) = F(t,U,W+v*U,W'+a*U), equivalent to dF/dU + v*dF/dU_t  + a*dF/dU_tt
1509 .  P    - preconditioning matrix for J, may be same as J
1510 -  ctx  - [optional] user-defined context for matrix evaluation routine
1511 
1512    Notes:
1513    The matrices J and P are exactly the matrices that are used by SNES for the nonlinear solve.
1514 
1515    The matrix dF/dU + v*dF/dU_t + a*dF/dU_tt you provide turns out to be
1516    the Jacobian of G(U) = F(t,U,W+v*U,W'+a*U) where F(t,U,U_t,U_tt) = 0 is the DAE to be solved.
1517    The time integrator internally approximates U_t by W+v*U and U_tt by W'+a*U  where the positive "shift"
1518    parameters 'v' and 'a' and vectors W, W' depend on the integration method, step size, and past states.
1519 
1520    Level: beginner
1521 
1522 .keywords: TS, timestep, set, ODE, DAE, Jacobian
1523 
1524 .seealso: TSSetI2Function()
1525 @*/
1526 PetscErrorCode TSSetI2Jacobian(TS ts,Mat J,Mat P,TSI2Jacobian jac,void *ctx)
1527 {
1528   DM             dm;
1529   PetscErrorCode ierr;
1530 
1531   PetscFunctionBegin;
1532   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1533   if (J) PetscValidHeaderSpecific(J,MAT_CLASSID,2);
1534   if (P) PetscValidHeaderSpecific(P,MAT_CLASSID,3);
1535   ierr = TSSetIJacobian(ts,J,P,NULL,NULL);CHKERRQ(ierr);
1536   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1537   ierr = DMTSSetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1538   PetscFunctionReturn(0);
1539 }
1540 
1541 #undef __FUNCT__
1542 #define __FUNCT__ "TSGetI2Jacobian"
1543 /*@C
1544   TSGetI2Jacobian - Returns the implicit Jacobian at the present timestep.
1545 
1546   Not Collective, but parallel objects are returned if TS is parallel
1547 
1548   Input Parameter:
1549 . ts  - The TS context obtained from TSCreate()
1550 
1551   Output Parameters:
1552 + J  - The (approximate) Jacobian of F(t,U,U_t,U_tt)
1553 . P - The matrix from which the preconditioner is constructed, often the same as J
1554 . jac - The function to compute the Jacobian matrices
1555 - ctx - User-defined context for Jacobian evaluation routine
1556 
1557   Notes: You can pass in NULL for any return argument you do not need.
1558 
1559   Level: advanced
1560 
1561 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
1562 
1563 .keywords: TS, timestep, get, matrix, Jacobian
1564 @*/
1565 PetscErrorCode  TSGetI2Jacobian(TS ts,Mat *J,Mat *P,TSI2Jacobian *jac,void **ctx)
1566 {
1567   PetscErrorCode ierr;
1568   SNES           snes;
1569   DM             dm;
1570 
1571   PetscFunctionBegin;
1572   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
1573   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
1574   ierr = SNESGetJacobian(snes,J,P,NULL,NULL);CHKERRQ(ierr);
1575   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1576   ierr = DMTSGetI2Jacobian(dm,jac,ctx);CHKERRQ(ierr);
1577   PetscFunctionReturn(0);
1578 }
1579 
1580 #undef __FUNCT__
1581 #define __FUNCT__ "TSComputeI2Function"
1582 /*@
1583   TSComputeI2Function - Evaluates the DAE residual written in implicit form F(t,U,U_t,U_tt) = 0
1584 
1585   Collective on TS and Vec
1586 
1587   Input Parameters:
1588 + ts - the TS context
1589 . t - current time
1590 . U - state vector
1591 . V - time derivative of state vector (U_t)
1592 - A - second time derivative of state vector (U_tt)
1593 
1594   Output Parameter:
1595 . F - the residual vector
1596 
1597   Note:
1598   Most users should not need to explicitly call this routine, as it
1599   is used internally within the nonlinear solvers.
1600 
1601   Level: developer
1602 
1603 .keywords: TS, compute, function, vector
1604 
1605 .seealso: TSSetI2Function()
1606 @*/
1607 PetscErrorCode TSComputeI2Function(TS ts,PetscReal t,Vec U,Vec V,Vec A,Vec F)
1608 {
1609   DM             dm;
1610   TSI2Function   I2Function;
1611   void           *ctx;
1612   TSRHSFunction  rhsfunction;
1613   PetscErrorCode ierr;
1614 
1615   PetscFunctionBegin;
1616   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1617   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1618   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1619   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1620   PetscValidHeaderSpecific(F,VEC_CLASSID,6);
1621 
1622   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1623   ierr = DMTSGetI2Function(dm,&I2Function,&ctx);CHKERRQ(ierr);
1624   ierr = DMTSGetRHSFunction(dm,&rhsfunction,NULL);CHKERRQ(ierr);
1625 
1626   if (!I2Function) {
1627     ierr = TSComputeIFunction(ts,t,U,A,F,PETSC_FALSE);CHKERRQ(ierr);
1628     PetscFunctionReturn(0);
1629   }
1630 
1631   ierr = PetscLogEventBegin(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1632 
1633   PetscStackPush("TS user implicit function");
1634   ierr = I2Function(ts,t,U,V,A,F,ctx);CHKERRQ(ierr);
1635   PetscStackPop;
1636 
1637   if (rhsfunction) {
1638     Vec Frhs;
1639     ierr = TSGetRHSVec_Private(ts,&Frhs);CHKERRQ(ierr);
1640     ierr = TSComputeRHSFunction(ts,t,U,Frhs);CHKERRQ(ierr);
1641     ierr = VecAXPY(F,-1,Frhs);CHKERRQ(ierr);
1642   }
1643 
1644   ierr = PetscLogEventEnd(TS_FunctionEval,ts,U,V,F);CHKERRQ(ierr);
1645   PetscFunctionReturn(0);
1646 }
1647 
1648 #undef __FUNCT__
1649 #define __FUNCT__ "TSComputeI2Jacobian"
1650 /*@
1651   TSComputeI2Jacobian - Evaluates the Jacobian of the DAE
1652 
1653   Collective on TS and Vec
1654 
1655   Input Parameters:
1656 + ts - the TS context
1657 . t - current timestep
1658 . U - state vector
1659 . V - time derivative of state vector
1660 . A - second time derivative of state vector
1661 . shiftV - shift to apply, see note below
1662 - shiftA - shift to apply, see note below
1663 
1664   Output Parameters:
1665 + J - Jacobian matrix
1666 - P - optional preconditioning matrix
1667 
1668   Notes:
1669   If F(t,U,V,A)=0 is the DAE, the required Jacobian is
1670 
1671   dF/dU + shiftV*dF/dV + shiftA*dF/dA
1672 
1673   Most users should not need to explicitly call this routine, as it
1674   is used internally within the nonlinear solvers.
1675 
1676   Level: developer
1677 
1678 .keywords: TS, compute, Jacobian, matrix
1679 
1680 .seealso:  TSSetI2Jacobian()
1681 @*/
1682 PetscErrorCode TSComputeI2Jacobian(TS ts,PetscReal t,Vec U,Vec V,Vec A,PetscReal shiftV,PetscReal shiftA,Mat J,Mat P)
1683 {
1684   DM             dm;
1685   TSI2Jacobian   I2Jacobian;
1686   void           *ctx;
1687   TSRHSJacobian  rhsjacobian;
1688   PetscErrorCode ierr;
1689 
1690   PetscFunctionBegin;
1691   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1692   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
1693   PetscValidHeaderSpecific(V,VEC_CLASSID,4);
1694   PetscValidHeaderSpecific(A,VEC_CLASSID,5);
1695   PetscValidHeaderSpecific(J,MAT_CLASSID,8);
1696   PetscValidHeaderSpecific(P,MAT_CLASSID,9);
1697 
1698   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
1699   ierr = DMTSGetI2Jacobian(dm,&I2Jacobian,&ctx);CHKERRQ(ierr);
1700   ierr = DMTSGetRHSJacobian(dm,&rhsjacobian,NULL);CHKERRQ(ierr);
1701 
1702   if (!I2Jacobian) {
1703     ierr = TSComputeIJacobian(ts,t,U,A,shiftA,J,P,PETSC_FALSE);CHKERRQ(ierr);
1704     PetscFunctionReturn(0);
1705   }
1706 
1707   ierr = PetscLogEventBegin(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1708 
1709   PetscStackPush("TS user implicit Jacobian");
1710   ierr = I2Jacobian(ts,t,U,V,A,shiftV,shiftA,J,P,ctx);CHKERRQ(ierr);
1711   PetscStackPop;
1712 
1713   if (rhsjacobian) {
1714     Mat Jrhs,Prhs; MatStructure axpy = DIFFERENT_NONZERO_PATTERN;
1715     ierr = TSGetRHSMats_Private(ts,&Jrhs,&Prhs);CHKERRQ(ierr);
1716     ierr = TSComputeRHSJacobian(ts,t,U,Jrhs,Prhs);CHKERRQ(ierr);
1717     ierr = MatAXPY(J,-1,Jrhs,axpy);CHKERRQ(ierr);
1718     if (P != J) {ierr = MatAXPY(P,-1,Prhs,axpy);CHKERRQ(ierr);}
1719   }
1720 
1721   ierr = PetscLogEventEnd(TS_JacobianEval,ts,U,J,P);CHKERRQ(ierr);
1722   PetscFunctionReturn(0);
1723 }
1724 
1725 #undef __FUNCT__
1726 #define __FUNCT__ "TS2SetSolution"
1727 /*@
1728    TS2SetSolution - Sets the initial solution and time derivative vectors
1729    for use by the TS routines handling second order equations.
1730 
1731    Logically Collective on TS and Vec
1732 
1733    Input Parameters:
1734 +  ts - the TS context obtained from TSCreate()
1735 .  u - the solution vector
1736 -  v - the time derivative vector
1737 
1738    Level: beginner
1739 
1740 .keywords: TS, timestep, set, solution, initial conditions
1741 @*/
1742 PetscErrorCode  TS2SetSolution(TS ts,Vec u,Vec v)
1743 {
1744   PetscErrorCode ierr;
1745 
1746   PetscFunctionBegin;
1747   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1748   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
1749   PetscValidHeaderSpecific(v,VEC_CLASSID,3);
1750   ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
1751   ierr = PetscObjectReference((PetscObject)v);CHKERRQ(ierr);
1752   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
1753   ts->vec_dot = v;
1754   PetscFunctionReturn(0);
1755 }
1756 
1757 #undef __FUNCT__
1758 #define __FUNCT__ "TS2GetSolution"
1759 /*@
1760    TS2GetSolution - Returns the solution and time derivative at the present timestep
1761    for second order equations. It is valid to call this routine inside the function
1762    that you are evaluating in order to move to the new timestep. This vector not
1763    changed until the solution at the next timestep has been calculated.
1764 
1765    Not Collective, but Vec returned is parallel if TS is parallel
1766 
1767    Input Parameter:
1768 .  ts - the TS context obtained from TSCreate()
1769 
1770    Output Parameter:
1771 +  u - the vector containing the solution
1772 -  v - the vector containing the time derivative
1773 
1774    Level: intermediate
1775 
1776 .seealso: TS2SetSolution(), TSGetTimeStep(), TSGetTime()
1777 
1778 .keywords: TS, timestep, get, solution
1779 @*/
1780 PetscErrorCode  TS2GetSolution(TS ts,Vec *u,Vec *v)
1781 {
1782   PetscFunctionBegin;
1783   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1784   if (u) PetscValidPointer(u,2);
1785   if (v) PetscValidPointer(v,3);
1786   if (u) *u = ts->vec_sol;
1787   if (v) *v = ts->vec_dot;
1788   PetscFunctionReturn(0);
1789 }
1790 
1791 #undef __FUNCT__
1792 #define __FUNCT__ "TSLoad"
1793 /*@C
1794   TSLoad - Loads a KSP that has been stored in binary  with KSPView().
1795 
1796   Collective on PetscViewer
1797 
1798   Input Parameters:
1799 + newdm - the newly loaded TS, this needs to have been created with TSCreate() or
1800            some related function before a call to TSLoad().
1801 - viewer - binary file viewer, obtained from PetscViewerBinaryOpen()
1802 
1803    Level: intermediate
1804 
1805   Notes:
1806    The type is determined by the data in the file, any type set into the TS before this call is ignored.
1807 
1808   Notes for advanced users:
1809   Most users should not need to know the details of the binary storage
1810   format, since TSLoad() and TSView() completely hide these details.
1811   But for anyone who's interested, the standard binary matrix storage
1812   format is
1813 .vb
1814      has not yet been determined
1815 .ve
1816 
1817 .seealso: PetscViewerBinaryOpen(), TSView(), MatLoad(), VecLoad()
1818 @*/
1819 PetscErrorCode  TSLoad(TS ts, PetscViewer viewer)
1820 {
1821   PetscErrorCode ierr;
1822   PetscBool      isbinary;
1823   PetscInt       classid;
1824   char           type[256];
1825   DMTS           sdm;
1826   DM             dm;
1827 
1828   PetscFunctionBegin;
1829   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1830   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1831   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1832   if (!isbinary) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Invalid viewer; open viewer with PetscViewerBinaryOpen()");
1833 
1834   ierr = PetscViewerBinaryRead(viewer,&classid,1,NULL,PETSC_INT);CHKERRQ(ierr);
1835   if (classid != TS_FILE_CLASSID) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONG,"Not TS next in file");
1836   ierr = PetscViewerBinaryRead(viewer,type,256,NULL,PETSC_CHAR);CHKERRQ(ierr);
1837   ierr = TSSetType(ts, type);CHKERRQ(ierr);
1838   if (ts->ops->load) {
1839     ierr = (*ts->ops->load)(ts,viewer);CHKERRQ(ierr);
1840   }
1841   ierr = DMCreate(PetscObjectComm((PetscObject)ts),&dm);CHKERRQ(ierr);
1842   ierr = DMLoad(dm,viewer);CHKERRQ(ierr);
1843   ierr = TSSetDM(ts,dm);CHKERRQ(ierr);
1844   ierr = DMCreateGlobalVector(ts->dm,&ts->vec_sol);CHKERRQ(ierr);
1845   ierr = VecLoad(ts->vec_sol,viewer);CHKERRQ(ierr);
1846   ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1847   ierr = DMTSLoad(sdm,viewer);CHKERRQ(ierr);
1848   PetscFunctionReturn(0);
1849 }
1850 
1851 #include <petscdraw.h>
1852 #if defined(PETSC_HAVE_SAWS)
1853 #include <petscviewersaws.h>
1854 #endif
1855 #undef __FUNCT__
1856 #define __FUNCT__ "TSView"
1857 /*@C
1858     TSView - Prints the TS data structure.
1859 
1860     Collective on TS
1861 
1862     Input Parameters:
1863 +   ts - the TS context obtained from TSCreate()
1864 -   viewer - visualization context
1865 
1866     Options Database Key:
1867 .   -ts_view - calls TSView() at end of TSStep()
1868 
1869     Notes:
1870     The available visualization contexts include
1871 +     PETSC_VIEWER_STDOUT_SELF - standard output (default)
1872 -     PETSC_VIEWER_STDOUT_WORLD - synchronized standard
1873          output where only the first processor opens
1874          the file.  All other processors send their
1875          data to the first processor to print.
1876 
1877     The user can open an alternative visualization context with
1878     PetscViewerASCIIOpen() - output to a specified file.
1879 
1880     Level: beginner
1881 
1882 .keywords: TS, timestep, view
1883 
1884 .seealso: PetscViewerASCIIOpen()
1885 @*/
1886 PetscErrorCode  TSView(TS ts,PetscViewer viewer)
1887 {
1888   PetscErrorCode ierr;
1889   TSType         type;
1890   PetscBool      iascii,isstring,isundials,isbinary,isdraw;
1891   DMTS           sdm;
1892 #if defined(PETSC_HAVE_SAWS)
1893   PetscBool      issaws;
1894 #endif
1895 
1896   PetscFunctionBegin;
1897   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
1898   if (!viewer) {
1899     ierr = PetscViewerASCIIGetStdout(PetscObjectComm((PetscObject)ts),&viewer);CHKERRQ(ierr);
1900   }
1901   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,2);
1902   PetscCheckSameComm(ts,1,viewer,2);
1903 
1904   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
1905   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSTRING,&isstring);CHKERRQ(ierr);
1906   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);CHKERRQ(ierr);
1907   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);CHKERRQ(ierr);
1908 #if defined(PETSC_HAVE_SAWS)
1909   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERSAWS,&issaws);CHKERRQ(ierr);
1910 #endif
1911   if (iascii) {
1912     ierr = PetscObjectPrintClassNamePrefixType((PetscObject)ts,viewer);CHKERRQ(ierr);
1913     ierr = PetscViewerASCIIPrintf(viewer,"  maximum steps=%D\n",ts->max_steps);CHKERRQ(ierr);
1914     ierr = PetscViewerASCIIPrintf(viewer,"  maximum time=%g\n",(double)ts->max_time);CHKERRQ(ierr);
1915     if (ts->problem_type == TS_NONLINEAR) {
1916       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solver iterations=%D\n",ts->snes_its);CHKERRQ(ierr);
1917       ierr = PetscViewerASCIIPrintf(viewer,"  total number of nonlinear solve failures=%D\n",ts->num_snes_failures);CHKERRQ(ierr);
1918     }
1919     ierr = PetscViewerASCIIPrintf(viewer,"  total number of linear solver iterations=%D\n",ts->ksp_its);CHKERRQ(ierr);
1920     ierr = PetscViewerASCIIPrintf(viewer,"  total number of rejected steps=%D\n",ts->reject);CHKERRQ(ierr);
1921     if (ts->vrtol) {
1922       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of relative error tolerances, ");CHKERRQ(ierr);
1923     } else {
1924       ierr = PetscViewerASCIIPrintf(viewer,"  using relative error tolerance of %g, ",(double)ts->rtol);CHKERRQ(ierr);
1925     }
1926     if (ts->vatol) {
1927       ierr = PetscViewerASCIIPrintf(viewer,"  using vector of absolute error tolerances\n");CHKERRQ(ierr);
1928     } else {
1929       ierr = PetscViewerASCIIPrintf(viewer,"  using absolute error tolerance of %g\n",(double)ts->atol);CHKERRQ(ierr);
1930     }
1931     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1932     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1933     if (ts->ops->view) {
1934       ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
1935       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1936       ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
1937     }
1938   } else if (isstring) {
1939     ierr = TSGetType(ts,&type);CHKERRQ(ierr);
1940     ierr = PetscViewerStringSPrintf(viewer," %-7.7s",type);CHKERRQ(ierr);
1941   } else if (isbinary) {
1942     PetscInt    classid = TS_FILE_CLASSID;
1943     MPI_Comm    comm;
1944     PetscMPIInt rank;
1945     char        type[256];
1946 
1947     ierr = PetscObjectGetComm((PetscObject)ts,&comm);CHKERRQ(ierr);
1948     ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr);
1949     if (!rank) {
1950       ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1951       ierr = PetscStrncpy(type,((PetscObject)ts)->type_name,256);CHKERRQ(ierr);
1952       ierr = PetscViewerBinaryWrite(viewer,type,256,PETSC_CHAR,PETSC_FALSE);CHKERRQ(ierr);
1953     }
1954     if (ts->ops->view) {
1955       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1956     }
1957     ierr = DMView(ts->dm,viewer);CHKERRQ(ierr);
1958     ierr = VecView(ts->vec_sol,viewer);CHKERRQ(ierr);
1959     ierr = DMGetDMTS(ts->dm,&sdm);CHKERRQ(ierr);
1960     ierr = DMTSView(sdm,viewer);CHKERRQ(ierr);
1961   } else if (isdraw) {
1962     PetscDraw draw;
1963     char      str[36];
1964     PetscReal x,y,bottom,h;
1965 
1966     ierr   = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1967     ierr   = PetscDrawGetCurrentPoint(draw,&x,&y);CHKERRQ(ierr);
1968     ierr   = PetscStrcpy(str,"TS: ");CHKERRQ(ierr);
1969     ierr   = PetscStrcat(str,((PetscObject)ts)->type_name);CHKERRQ(ierr);
1970     ierr   = PetscDrawStringBoxed(draw,x,y,PETSC_DRAW_BLACK,PETSC_DRAW_BLACK,str,NULL,&h);CHKERRQ(ierr);
1971     bottom = y - h;
1972     ierr   = PetscDrawPushCurrentPoint(draw,x,bottom);CHKERRQ(ierr);
1973     if (ts->ops->view) {
1974       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1975     }
1976     ierr = PetscDrawPopCurrentPoint(draw);CHKERRQ(ierr);
1977 #if defined(PETSC_HAVE_SAWS)
1978   } else if (issaws) {
1979     PetscMPIInt rank;
1980     const char  *name;
1981 
1982     ierr = PetscObjectGetName((PetscObject)ts,&name);CHKERRQ(ierr);
1983     ierr = MPI_Comm_rank(PETSC_COMM_WORLD,&rank);CHKERRQ(ierr);
1984     if (!((PetscObject)ts)->amsmem && !rank) {
1985       char       dir[1024];
1986 
1987       ierr = PetscObjectViewSAWs((PetscObject)ts,viewer);CHKERRQ(ierr);
1988       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time_step",name);CHKERRQ(ierr);
1989       PetscStackCallSAWs(SAWs_Register,(dir,&ts->steps,1,SAWs_READ,SAWs_INT));
1990       ierr = PetscSNPrintf(dir,1024,"/PETSc/Objects/%s/time",name);CHKERRQ(ierr);
1991       PetscStackCallSAWs(SAWs_Register,(dir,&ts->ptime,1,SAWs_READ,SAWs_DOUBLE));
1992     }
1993     if (ts->ops->view) {
1994       ierr = (*ts->ops->view)(ts,viewer);CHKERRQ(ierr);
1995     }
1996 #endif
1997   }
1998 
1999   ierr = PetscViewerASCIIPushTab(viewer);CHKERRQ(ierr);
2000   ierr = PetscObjectTypeCompare((PetscObject)ts,TSSUNDIALS,&isundials);CHKERRQ(ierr);
2001   ierr = PetscViewerASCIIPopTab(viewer);CHKERRQ(ierr);
2002   PetscFunctionReturn(0);
2003 }
2004 
2005 
2006 #undef __FUNCT__
2007 #define __FUNCT__ "TSSetApplicationContext"
2008 /*@
2009    TSSetApplicationContext - Sets an optional user-defined context for
2010    the timesteppers.
2011 
2012    Logically Collective on TS
2013 
2014    Input Parameters:
2015 +  ts - the TS context obtained from TSCreate()
2016 -  usrP - optional user context
2017 
2018    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2019     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2020 
2021    Level: intermediate
2022 
2023 .keywords: TS, timestep, set, application, context
2024 
2025 .seealso: TSGetApplicationContext()
2026 @*/
2027 PetscErrorCode  TSSetApplicationContext(TS ts,void *usrP)
2028 {
2029   PetscFunctionBegin;
2030   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2031   ts->user = usrP;
2032   PetscFunctionReturn(0);
2033 }
2034 
2035 #undef __FUNCT__
2036 #define __FUNCT__ "TSGetApplicationContext"
2037 /*@
2038     TSGetApplicationContext - Gets the user-defined context for the
2039     timestepper.
2040 
2041     Not Collective
2042 
2043     Input Parameter:
2044 .   ts - the TS context obtained from TSCreate()
2045 
2046     Output Parameter:
2047 .   usrP - user context
2048 
2049    Fortran Notes: To use this from Fortran you must write a Fortran interface definition for this
2050     function that tells Fortran the Fortran derived data type that you are passing in as the ctx argument.
2051 
2052     Level: intermediate
2053 
2054 .keywords: TS, timestep, get, application, context
2055 
2056 .seealso: TSSetApplicationContext()
2057 @*/
2058 PetscErrorCode  TSGetApplicationContext(TS ts,void *usrP)
2059 {
2060   PetscFunctionBegin;
2061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2062   *(void**)usrP = ts->user;
2063   PetscFunctionReturn(0);
2064 }
2065 
2066 #undef __FUNCT__
2067 #define __FUNCT__ "TSGetTimeStepNumber"
2068 /*@
2069    TSGetTimeStepNumber - Gets the number of time steps completed.
2070 
2071    Not Collective
2072 
2073    Input Parameter:
2074 .  ts - the TS context obtained from TSCreate()
2075 
2076    Output Parameter:
2077 .  iter - number of steps completed so far
2078 
2079    Level: intermediate
2080 
2081 .keywords: TS, timestep, get, iteration, number
2082 .seealso: TSGetTime(), TSGetTimeStep(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSSetPostStep()
2083 @*/
2084 PetscErrorCode  TSGetTimeStepNumber(TS ts,PetscInt *iter)
2085 {
2086   PetscFunctionBegin;
2087   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2088   PetscValidIntPointer(iter,2);
2089   *iter = ts->steps;
2090   PetscFunctionReturn(0);
2091 }
2092 
2093 #undef __FUNCT__
2094 #define __FUNCT__ "TSSetInitialTimeStep"
2095 /*@
2096    TSSetInitialTimeStep - Sets the initial timestep to be used,
2097    as well as the initial time.
2098 
2099    Logically Collective on TS
2100 
2101    Input Parameters:
2102 +  ts - the TS context obtained from TSCreate()
2103 .  initial_time - the initial time
2104 -  time_step - the size of the timestep
2105 
2106    Level: intermediate
2107 
2108 .seealso: TSSetTimeStep(), TSGetTimeStep()
2109 
2110 .keywords: TS, set, initial, timestep
2111 @*/
2112 PetscErrorCode  TSSetInitialTimeStep(TS ts,PetscReal initial_time,PetscReal time_step)
2113 {
2114   PetscErrorCode ierr;
2115 
2116   PetscFunctionBegin;
2117   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2118   ierr = TSSetTimeStep(ts,time_step);CHKERRQ(ierr);
2119   ierr = TSSetTime(ts,initial_time);CHKERRQ(ierr);
2120   PetscFunctionReturn(0);
2121 }
2122 
2123 #undef __FUNCT__
2124 #define __FUNCT__ "TSSetTimeStep"
2125 /*@
2126    TSSetTimeStep - Allows one to reset the timestep at any time,
2127    useful for simple pseudo-timestepping codes.
2128 
2129    Logically Collective on TS
2130 
2131    Input Parameters:
2132 +  ts - the TS context obtained from TSCreate()
2133 -  time_step - the size of the timestep
2134 
2135    Level: intermediate
2136 
2137 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2138 
2139 .keywords: TS, set, timestep
2140 @*/
2141 PetscErrorCode  TSSetTimeStep(TS ts,PetscReal time_step)
2142 {
2143   PetscFunctionBegin;
2144   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2145   PetscValidLogicalCollectiveReal(ts,time_step,2);
2146   ts->time_step = time_step;
2147   PetscFunctionReturn(0);
2148 }
2149 
2150 #undef __FUNCT__
2151 #define __FUNCT__ "TSSetExactFinalTime"
2152 /*@
2153    TSSetExactFinalTime - Determines whether to adapt the final time step to
2154      match the exact final time, interpolate solution to the exact final time,
2155      or just return at the final time TS computed.
2156 
2157   Logically Collective on TS
2158 
2159    Input Parameter:
2160 +   ts - the time-step context
2161 -   eftopt - exact final time option
2162 
2163 $  TS_EXACTFINALTIME_STEPOVER    - Don't do anything if final time is exceeded
2164 $  TS_EXACTFINALTIME_INTERPOLATE - Interpolate back to final time
2165 $  TS_EXACTFINALTIME_MATCHSTEP - Adapt final time step to match the final time
2166 
2167    Options Database:
2168 .   -ts_exact_final_time <stepover,interpolate,matchstep> - select the final step at runtime
2169 
2170    Warning: If you use the option TS_EXACTFINALTIME_STEPOVER the solution may be at a very different time
2171     then the final time you selected.
2172 
2173    Level: beginner
2174 
2175 .seealso: TSExactFinalTimeOption
2176 @*/
2177 PetscErrorCode  TSSetExactFinalTime(TS ts,TSExactFinalTimeOption eftopt)
2178 {
2179   PetscFunctionBegin;
2180   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2181   PetscValidLogicalCollectiveEnum(ts,eftopt,2);
2182   ts->exact_final_time = eftopt;
2183   PetscFunctionReturn(0);
2184 }
2185 
2186 #undef __FUNCT__
2187 #define __FUNCT__ "TSGetTimeStep"
2188 /*@
2189    TSGetTimeStep - Gets the current timestep size.
2190 
2191    Not Collective
2192 
2193    Input Parameter:
2194 .  ts - the TS context obtained from TSCreate()
2195 
2196    Output Parameter:
2197 .  dt - the current timestep size
2198 
2199    Level: intermediate
2200 
2201 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
2202 
2203 .keywords: TS, get, timestep
2204 @*/
2205 PetscErrorCode  TSGetTimeStep(TS ts,PetscReal *dt)
2206 {
2207   PetscFunctionBegin;
2208   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2209   PetscValidRealPointer(dt,2);
2210   *dt = ts->time_step;
2211   PetscFunctionReturn(0);
2212 }
2213 
2214 #undef __FUNCT__
2215 #define __FUNCT__ "TSGetSolution"
2216 /*@
2217    TSGetSolution - Returns the solution at the present timestep. It
2218    is valid to call this routine inside the function that you are evaluating
2219    in order to move to the new timestep. This vector not changed until
2220    the solution at the next timestep has been calculated.
2221 
2222    Not Collective, but Vec returned is parallel if TS is parallel
2223 
2224    Input Parameter:
2225 .  ts - the TS context obtained from TSCreate()
2226 
2227    Output Parameter:
2228 .  v - the vector containing the solution
2229 
2230    Note: If you used TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP); this does not return the solution at the requested
2231    final time. It returns the solution at the next timestep.
2232 
2233    Level: intermediate
2234 
2235 .seealso: TSGetTimeStep(), TSGetTime(), TSGetSolveTime(), TSGetSolutionComponents()
2236 
2237 .keywords: TS, timestep, get, solution
2238 @*/
2239 PetscErrorCode  TSGetSolution(TS ts,Vec *v)
2240 {
2241   PetscFunctionBegin;
2242   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2243   PetscValidPointer(v,2);
2244   *v = ts->vec_sol;
2245   PetscFunctionReturn(0);
2246 }
2247 
2248 #undef __FUNCT__
2249 #define __FUNCT__ "TSGetSolutionComponents"
2250 /*@
2251    TSGetSolutionComponents - Returns any solution components at the present
2252    timestep, if available for the time integration method being used.
2253    Solution components are quantities that share the same size and
2254    structure as the solution vector.
2255 
2256    Not Collective, but Vec returned is parallel if TS is parallel
2257 
2258    Parameters :
2259 .  ts - the TS context obtained from TSCreate() (input parameter).
2260 .  n - If v is PETSC_NULL, then the number of solution components is
2261        returned through n, else the n-th solution component is
2262        returned in v.
2263 .  v - the vector containing the n-th solution component
2264        (may be PETSC_NULL to use this function to find out
2265         the number of solutions components).
2266 
2267    Level: advanced
2268 
2269 .seealso: TSGetSolution()
2270 
2271 .keywords: TS, timestep, get, solution
2272 @*/
2273 PetscErrorCode  TSGetSolutionComponents(TS ts,PetscInt *n,Vec *v)
2274 {
2275   PetscErrorCode ierr;
2276 
2277   PetscFunctionBegin;
2278   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2279   if (!ts->ops->getsolutioncomponents) *n = 0;
2280   else {
2281     ierr = (*ts->ops->getsolutioncomponents)(ts,n,v);CHKERRQ(ierr);
2282   }
2283   PetscFunctionReturn(0);
2284 }
2285 
2286 #undef __FUNCT__
2287 #define __FUNCT__ "TSGetAuxSolution"
2288 /*@
2289    TSGetAuxSolution - Returns an auxiliary solution at the present
2290    timestep, if available for the time integration method being used.
2291 
2292    Not Collective, but Vec returned is parallel if TS is parallel
2293 
2294    Parameters :
2295 .  ts - the TS context obtained from TSCreate() (input parameter).
2296 .  v - the vector containing the auxiliary solution
2297 
2298    Level: intermediate
2299 
2300 .seealso: TSGetSolution()
2301 
2302 .keywords: TS, timestep, get, solution
2303 @*/
2304 PetscErrorCode  TSGetAuxSolution(TS ts,Vec *v)
2305 {
2306   PetscErrorCode ierr;
2307 
2308   PetscFunctionBegin;
2309   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2310   if (ts->ops->getauxsolution) {
2311     ierr = (*ts->ops->getauxsolution)(ts,v);CHKERRQ(ierr);
2312   } else {
2313     ierr = VecZeroEntries(*v); CHKERRQ(ierr);
2314   }
2315   PetscFunctionReturn(0);
2316 }
2317 
2318 #undef __FUNCT__
2319 #define __FUNCT__ "TSGetTimeError"
2320 /*@
2321    TSGetTimeError - Returns the estimated error vector, if the chosen
2322    TSType has an error estimation functionality.
2323 
2324    Not Collective, but Vec returned is parallel if TS is parallel
2325 
2326    Note: MUST call after TSSetUp()
2327 
2328    Parameters :
2329 .  ts - the TS context obtained from TSCreate() (input parameter).
2330 .  v - the vector containing the error (same size as the solution).
2331 
2332    Level: intermediate
2333 
2334 .seealso: TSGetSolution(), TSSetTimeError()
2335 
2336 .keywords: TS, timestep, get, error
2337 @*/
2338 PetscErrorCode  TSGetTimeError(TS ts,Vec *v)
2339 {
2340   PetscErrorCode ierr;
2341 
2342   PetscFunctionBegin;
2343   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2344   if (ts->ops->gettimeerror) {
2345     ierr = (*ts->ops->gettimeerror)(ts,v);CHKERRQ(ierr);
2346   } else {
2347     ierr = VecZeroEntries(*v);CHKERRQ(ierr);
2348   }
2349   PetscFunctionReturn(0);
2350 }
2351 
2352 #undef __FUNCT__
2353 #define __FUNCT__ "TSSetTimeError"
2354 /*@
2355    TSSetTimeError - Sets the estimated error vector, if the chosen
2356    TSType has an error estimation functionality. This can be used
2357    to restart such a time integrator with a given error vector.
2358 
2359    Not Collective, but Vec returned is parallel if TS is parallel
2360 
2361    Parameters :
2362 .  ts - the TS context obtained from TSCreate() (input parameter).
2363 .  v - the vector containing the error (same size as the solution).
2364 
2365    Level: intermediate
2366 
2367 .seealso: TSSetSolution(), TSGetTimeError)
2368 
2369 .keywords: TS, timestep, get, error
2370 @*/
2371 PetscErrorCode  TSSetTimeError(TS ts,Vec v)
2372 {
2373   PetscErrorCode ierr;
2374 
2375   PetscFunctionBegin;
2376   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2377   if (!ts->setupcalled) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetUp() first");
2378   if (ts->ops->settimeerror) {
2379     ierr = (*ts->ops->settimeerror)(ts,v);CHKERRQ(ierr);
2380   }
2381   PetscFunctionReturn(0);
2382 }
2383 
2384 #undef __FUNCT__
2385 #define __FUNCT__ "TSGetCostGradients"
2386 /*@
2387    TSGetCostGradients - Returns the gradients from the TSAdjointSolve()
2388 
2389    Not Collective, but Vec returned is parallel if TS is parallel
2390 
2391    Input Parameter:
2392 .  ts - the TS context obtained from TSCreate()
2393 
2394    Output Parameter:
2395 +  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
2396 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
2397 
2398    Level: intermediate
2399 
2400 .seealso: TSGetTimeStep()
2401 
2402 .keywords: TS, timestep, get, sensitivity
2403 @*/
2404 PetscErrorCode  TSGetCostGradients(TS ts,PetscInt *numcost,Vec **lambda,Vec **mu)
2405 {
2406   PetscFunctionBegin;
2407   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2408   if (numcost) *numcost = ts->numcost;
2409   if (lambda)  *lambda  = ts->vecs_sensi;
2410   if (mu)      *mu      = ts->vecs_sensip;
2411   PetscFunctionReturn(0);
2412 }
2413 
2414 /* ----- Routines to initialize and destroy a timestepper ---- */
2415 #undef __FUNCT__
2416 #define __FUNCT__ "TSSetProblemType"
2417 /*@
2418   TSSetProblemType - Sets the type of problem to be solved.
2419 
2420   Not collective
2421 
2422   Input Parameters:
2423 + ts   - The TS
2424 - type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2425 .vb
2426          U_t - A U = 0      (linear)
2427          U_t - A(t) U = 0   (linear)
2428          F(t,U,U_t) = 0     (nonlinear)
2429 .ve
2430 
2431    Level: beginner
2432 
2433 .keywords: TS, problem type
2434 .seealso: TSSetUp(), TSProblemType, TS
2435 @*/
2436 PetscErrorCode  TSSetProblemType(TS ts, TSProblemType type)
2437 {
2438   PetscErrorCode ierr;
2439 
2440   PetscFunctionBegin;
2441   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2442   ts->problem_type = type;
2443   if (type == TS_LINEAR) {
2444     SNES snes;
2445     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2446     ierr = SNESSetType(snes,SNESKSPONLY);CHKERRQ(ierr);
2447   }
2448   PetscFunctionReturn(0);
2449 }
2450 
2451 #undef __FUNCT__
2452 #define __FUNCT__ "TSGetProblemType"
2453 /*@C
2454   TSGetProblemType - Gets the type of problem to be solved.
2455 
2456   Not collective
2457 
2458   Input Parameter:
2459 . ts   - The TS
2460 
2461   Output Parameter:
2462 . type - One of TS_LINEAR, TS_NONLINEAR where these types refer to problems of the forms
2463 .vb
2464          M U_t = A U
2465          M(t) U_t = A(t) U
2466          F(t,U,U_t)
2467 .ve
2468 
2469    Level: beginner
2470 
2471 .keywords: TS, problem type
2472 .seealso: TSSetUp(), TSProblemType, TS
2473 @*/
2474 PetscErrorCode  TSGetProblemType(TS ts, TSProblemType *type)
2475 {
2476   PetscFunctionBegin;
2477   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2478   PetscValidIntPointer(type,2);
2479   *type = ts->problem_type;
2480   PetscFunctionReturn(0);
2481 }
2482 
2483 #undef __FUNCT__
2484 #define __FUNCT__ "TSSetUp"
2485 /*@
2486    TSSetUp - Sets up the internal data structures for the later use
2487    of a timestepper.
2488 
2489    Collective on TS
2490 
2491    Input Parameter:
2492 .  ts - the TS context obtained from TSCreate()
2493 
2494    Notes:
2495    For basic use of the TS solvers the user need not explicitly call
2496    TSSetUp(), since these actions will automatically occur during
2497    the call to TSStep().  However, if one wishes to control this
2498    phase separately, TSSetUp() should be called after TSCreate()
2499    and optional routines of the form TSSetXXX(), but before TSStep().
2500 
2501    Level: advanced
2502 
2503 .keywords: TS, timestep, setup
2504 
2505 .seealso: TSCreate(), TSStep(), TSDestroy()
2506 @*/
2507 PetscErrorCode  TSSetUp(TS ts)
2508 {
2509   PetscErrorCode ierr;
2510   DM             dm;
2511   PetscErrorCode (*func)(SNES,Vec,Vec,void*);
2512   PetscErrorCode (*jac)(SNES,Vec,Mat,Mat,void*);
2513   TSIFunction    ifun;
2514   TSIJacobian    ijac;
2515   TSI2Jacobian   i2jac;
2516   TSRHSJacobian  rhsjac;
2517 
2518   PetscFunctionBegin;
2519   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2520   if (ts->setupcalled) PetscFunctionReturn(0);
2521 
2522   ts->total_steps = 0;
2523   if (!((PetscObject)ts)->type_name) {
2524     ierr = TSGetIFunction(ts,NULL,&ifun,NULL);CHKERRQ(ierr);
2525     ierr = TSSetType(ts,ifun ? TSBEULER : TSEULER);CHKERRQ(ierr);
2526   }
2527 
2528   if (!ts->vec_sol) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetSolution() first");
2529 
2530   if (ts->rhsjacobian.reuse) {
2531     Mat Amat,Pmat;
2532     SNES snes;
2533     ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2534     ierr = SNESGetJacobian(snes,&Amat,&Pmat,NULL,NULL);CHKERRQ(ierr);
2535     /* Matching matrices implies that an IJacobian is NOT set, because if it had been set, the IJacobian's matrix would
2536      * have displaced the RHS matrix */
2537     if (Amat == ts->Arhs) {
2538       ierr = MatDuplicate(ts->Arhs,MAT_DO_NOT_COPY_VALUES,&Amat);CHKERRQ(ierr);
2539       ierr = SNESSetJacobian(snes,Amat,NULL,NULL,NULL);CHKERRQ(ierr);
2540       ierr = MatDestroy(&Amat);CHKERRQ(ierr);
2541     }
2542     if (Pmat == ts->Brhs) {
2543       ierr = MatDuplicate(ts->Brhs,MAT_DO_NOT_COPY_VALUES,&Pmat);CHKERRQ(ierr);
2544       ierr = SNESSetJacobian(snes,NULL,Pmat,NULL,NULL);CHKERRQ(ierr);
2545       ierr = MatDestroy(&Pmat);CHKERRQ(ierr);
2546     }
2547   }
2548   if (ts->ops->setup) {
2549     ierr = (*ts->ops->setup)(ts);CHKERRQ(ierr);
2550   }
2551 
2552   /* In the case where we've set a DMTSFunction or what have you, we need the default SNESFunction
2553      to be set right but can't do it elsewhere due to the overreliance on ctx=ts.
2554    */
2555   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2556   ierr = DMSNESGetFunction(dm,&func,NULL);CHKERRQ(ierr);
2557   if (!func) {
2558     ierr = DMSNESSetFunction(dm,SNESTSFormFunction,ts);CHKERRQ(ierr);
2559   }
2560   /* If the SNES doesn't have a jacobian set and the TS has an ijacobian or rhsjacobian set, set the SNES to use it.
2561      Otherwise, the SNES will use coloring internally to form the Jacobian.
2562    */
2563   ierr = DMSNESGetJacobian(dm,&jac,NULL);CHKERRQ(ierr);
2564   ierr = DMTSGetIJacobian(dm,&ijac,NULL);CHKERRQ(ierr);
2565   ierr = DMTSGetI2Jacobian(dm,&i2jac,NULL);CHKERRQ(ierr);
2566   ierr = DMTSGetRHSJacobian(dm,&rhsjac,NULL);CHKERRQ(ierr);
2567   if (!jac && (ijac || i2jac || rhsjac)) {
2568     ierr = DMSNESSetJacobian(dm,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2569   }
2570 
2571   /* if time integration scheme has a starting method, call it */
2572   if (ts->ops->startingmethod) {
2573     ierr = (*ts->ops->startingmethod)(ts);CHKERRQ(ierr);
2574   }
2575 
2576   ts->setupcalled = PETSC_TRUE;
2577   PetscFunctionReturn(0);
2578 }
2579 
2580 #undef __FUNCT__
2581 #define __FUNCT__ "TSAdjointSetUp"
2582 /*@
2583    TSAdjointSetUp - Sets up the internal data structures for the later use
2584    of an adjoint solver
2585 
2586    Collective on TS
2587 
2588    Input Parameter:
2589 .  ts - the TS context obtained from TSCreate()
2590 
2591    Level: advanced
2592 
2593 .keywords: TS, timestep, setup
2594 
2595 .seealso: TSCreate(), TSAdjointStep(), TSSetCostGradients()
2596 @*/
2597 PetscErrorCode  TSAdjointSetUp(TS ts)
2598 {
2599   PetscErrorCode ierr;
2600 
2601   PetscFunctionBegin;
2602   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2603   if (ts->adjointsetupcalled) PetscFunctionReturn(0);
2604   if (!ts->vecs_sensi) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Must call TSSetCostGradients() first");
2605 
2606   if (ts->vec_costintegral) { /* if there is integral in the cost function*/
2607     ierr = VecDuplicateVecs(ts->vecs_sensi[0],ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2608     if (ts->vecs_sensip){
2609       ierr = VecDuplicateVecs(ts->vecs_sensip[0],ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2610     }
2611   }
2612 
2613   if (ts->ops->adjointsetup) {
2614     ierr = (*ts->ops->adjointsetup)(ts);CHKERRQ(ierr);
2615   }
2616   ts->adjointsetupcalled = PETSC_TRUE;
2617   PetscFunctionReturn(0);
2618 }
2619 
2620 #undef __FUNCT__
2621 #define __FUNCT__ "TSReset"
2622 /*@
2623    TSReset - Resets a TS context and removes any allocated Vecs and Mats.
2624 
2625    Collective on TS
2626 
2627    Input Parameter:
2628 .  ts - the TS context obtained from TSCreate()
2629 
2630    Level: beginner
2631 
2632 .keywords: TS, timestep, reset
2633 
2634 .seealso: TSCreate(), TSSetup(), TSDestroy()
2635 @*/
2636 PetscErrorCode  TSReset(TS ts)
2637 {
2638   PetscErrorCode ierr;
2639 
2640   PetscFunctionBegin;
2641   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2642 
2643   if (ts->ops->reset) {
2644     ierr = (*ts->ops->reset)(ts);CHKERRQ(ierr);
2645   }
2646   if (ts->snes) {ierr = SNESReset(ts->snes);CHKERRQ(ierr);}
2647   if (ts->adapt) {ierr = TSAdaptReset(ts->adapt);CHKERRQ(ierr);}
2648 
2649   ierr = MatDestroy(&ts->Arhs);CHKERRQ(ierr);
2650   ierr = MatDestroy(&ts->Brhs);CHKERRQ(ierr);
2651   ierr = VecDestroy(&ts->Frhs);CHKERRQ(ierr);
2652   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2653   ierr = VecDestroy(&ts->vec_dot);CHKERRQ(ierr);
2654   ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
2655   ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
2656   ierr = VecDestroyVecs(ts->nwork,&ts->work);CHKERRQ(ierr);
2657 
2658  if (ts->vec_costintegral) {
2659     ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdy);CHKERRQ(ierr);
2660     if (ts->vecs_drdp){
2661       ierr = VecDestroyVecs(ts->numcost,&ts->vecs_drdp);CHKERRQ(ierr);
2662     }
2663   }
2664   ts->vecs_sensi  = NULL;
2665   ts->vecs_sensip = NULL;
2666   ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
2667   ierr = VecDestroy(&ts->vec_costintegral);CHKERRQ(ierr);
2668   ierr = VecDestroy(&ts->vec_costintegrand);CHKERRQ(ierr);
2669   ts->setupcalled = PETSC_FALSE;
2670   PetscFunctionReturn(0);
2671 }
2672 
2673 #undef __FUNCT__
2674 #define __FUNCT__ "TSDestroy"
2675 /*@
2676    TSDestroy - Destroys the timestepper context that was created
2677    with TSCreate().
2678 
2679    Collective on TS
2680 
2681    Input Parameter:
2682 .  ts - the TS context obtained from TSCreate()
2683 
2684    Level: beginner
2685 
2686 .keywords: TS, timestepper, destroy
2687 
2688 .seealso: TSCreate(), TSSetUp(), TSSolve()
2689 @*/
2690 PetscErrorCode  TSDestroy(TS *ts)
2691 {
2692   PetscErrorCode ierr;
2693 
2694   PetscFunctionBegin;
2695   if (!*ts) PetscFunctionReturn(0);
2696   PetscValidHeaderSpecific((*ts),TS_CLASSID,1);
2697   if (--((PetscObject)(*ts))->refct > 0) {*ts = 0; PetscFunctionReturn(0);}
2698 
2699   ierr = TSReset((*ts));CHKERRQ(ierr);
2700 
2701   /* if memory was published with SAWs then destroy it */
2702   ierr = PetscObjectSAWsViewOff((PetscObject)*ts);CHKERRQ(ierr);
2703   if ((*ts)->ops->destroy) {ierr = (*(*ts)->ops->destroy)((*ts));CHKERRQ(ierr);}
2704 
2705   ierr = TSTrajectoryDestroy(&(*ts)->trajectory);CHKERRQ(ierr);
2706 
2707   ierr = TSAdaptDestroy(&(*ts)->adapt);CHKERRQ(ierr);
2708   ierr = TSEventDestroy(&(*ts)->event);CHKERRQ(ierr);
2709 
2710   ierr = SNESDestroy(&(*ts)->snes);CHKERRQ(ierr);
2711   ierr = DMDestroy(&(*ts)->dm);CHKERRQ(ierr);
2712   ierr = TSMonitorCancel((*ts));CHKERRQ(ierr);
2713   ierr = TSAdjointMonitorCancel((*ts));CHKERRQ(ierr);
2714 
2715   ierr = PetscHeaderDestroy(ts);CHKERRQ(ierr);
2716   PetscFunctionReturn(0);
2717 }
2718 
2719 #undef __FUNCT__
2720 #define __FUNCT__ "TSGetSNES"
2721 /*@
2722    TSGetSNES - Returns the SNES (nonlinear solver) associated with
2723    a TS (timestepper) context. Valid only for nonlinear problems.
2724 
2725    Not Collective, but SNES is parallel if TS is parallel
2726 
2727    Input Parameter:
2728 .  ts - the TS context obtained from TSCreate()
2729 
2730    Output Parameter:
2731 .  snes - the nonlinear solver context
2732 
2733    Notes:
2734    The user can then directly manipulate the SNES context to set various
2735    options, etc.  Likewise, the user can then extract and manipulate the
2736    KSP, KSP, and PC contexts as well.
2737 
2738    TSGetSNES() does not work for integrators that do not use SNES; in
2739    this case TSGetSNES() returns NULL in snes.
2740 
2741    Level: beginner
2742 
2743 .keywords: timestep, get, SNES
2744 @*/
2745 PetscErrorCode  TSGetSNES(TS ts,SNES *snes)
2746 {
2747   PetscErrorCode ierr;
2748 
2749   PetscFunctionBegin;
2750   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2751   PetscValidPointer(snes,2);
2752   if (!ts->snes) {
2753     ierr = SNESCreate(PetscObjectComm((PetscObject)ts),&ts->snes);CHKERRQ(ierr);
2754     ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2755     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->snes);CHKERRQ(ierr);
2756     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->snes,(PetscObject)ts,1);CHKERRQ(ierr);
2757     if (ts->dm) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
2758     if (ts->problem_type == TS_LINEAR) {
2759       ierr = SNESSetType(ts->snes,SNESKSPONLY);CHKERRQ(ierr);
2760     }
2761   }
2762   *snes = ts->snes;
2763   PetscFunctionReturn(0);
2764 }
2765 
2766 #undef __FUNCT__
2767 #define __FUNCT__ "TSSetSNES"
2768 /*@
2769    TSSetSNES - Set the SNES (nonlinear solver) to be used by the timestepping context
2770 
2771    Collective
2772 
2773    Input Parameter:
2774 +  ts - the TS context obtained from TSCreate()
2775 -  snes - the nonlinear solver context
2776 
2777    Notes:
2778    Most users should have the TS created by calling TSGetSNES()
2779 
2780    Level: developer
2781 
2782 .keywords: timestep, set, SNES
2783 @*/
2784 PetscErrorCode TSSetSNES(TS ts,SNES snes)
2785 {
2786   PetscErrorCode ierr;
2787   PetscErrorCode (*func)(SNES,Vec,Mat,Mat,void*);
2788 
2789   PetscFunctionBegin;
2790   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2791   PetscValidHeaderSpecific(snes,SNES_CLASSID,2);
2792   ierr = PetscObjectReference((PetscObject)snes);CHKERRQ(ierr);
2793   ierr = SNESDestroy(&ts->snes);CHKERRQ(ierr);
2794 
2795   ts->snes = snes;
2796 
2797   ierr = SNESSetFunction(ts->snes,NULL,SNESTSFormFunction,ts);CHKERRQ(ierr);
2798   ierr = SNESGetJacobian(ts->snes,NULL,NULL,&func,NULL);CHKERRQ(ierr);
2799   if (func == SNESTSFormJacobian) {
2800     ierr = SNESSetJacobian(ts->snes,NULL,NULL,SNESTSFormJacobian,ts);CHKERRQ(ierr);
2801   }
2802   PetscFunctionReturn(0);
2803 }
2804 
2805 #undef __FUNCT__
2806 #define __FUNCT__ "TSGetKSP"
2807 /*@
2808    TSGetKSP - Returns the KSP (linear solver) associated with
2809    a TS (timestepper) context.
2810 
2811    Not Collective, but KSP is parallel if TS is parallel
2812 
2813    Input Parameter:
2814 .  ts - the TS context obtained from TSCreate()
2815 
2816    Output Parameter:
2817 .  ksp - the nonlinear solver context
2818 
2819    Notes:
2820    The user can then directly manipulate the KSP context to set various
2821    options, etc.  Likewise, the user can then extract and manipulate the
2822    KSP and PC contexts as well.
2823 
2824    TSGetKSP() does not work for integrators that do not use KSP;
2825    in this case TSGetKSP() returns NULL in ksp.
2826 
2827    Level: beginner
2828 
2829 .keywords: timestep, get, KSP
2830 @*/
2831 PetscErrorCode  TSGetKSP(TS ts,KSP *ksp)
2832 {
2833   PetscErrorCode ierr;
2834   SNES           snes;
2835 
2836   PetscFunctionBegin;
2837   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2838   PetscValidPointer(ksp,2);
2839   if (!((PetscObject)ts)->type_name) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_NULL,"KSP is not created yet. Call TSSetType() first");
2840   if (ts->problem_type != TS_LINEAR) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Linear only; use TSGetSNES()");
2841   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
2842   ierr = SNESGetKSP(snes,ksp);CHKERRQ(ierr);
2843   PetscFunctionReturn(0);
2844 }
2845 
2846 /* ----------- Routines to set solver parameters ---------- */
2847 
2848 #undef __FUNCT__
2849 #define __FUNCT__ "TSGetDuration"
2850 /*@
2851    TSGetDuration - Gets the maximum number of timesteps to use and
2852    maximum time for iteration.
2853 
2854    Not Collective
2855 
2856    Input Parameters:
2857 +  ts       - the TS context obtained from TSCreate()
2858 .  maxsteps - maximum number of iterations to use, or NULL
2859 -  maxtime  - final time to iterate to, or NULL
2860 
2861    Level: intermediate
2862 
2863 .keywords: TS, timestep, get, maximum, iterations, time
2864 @*/
2865 PetscErrorCode  TSGetDuration(TS ts, PetscInt *maxsteps, PetscReal *maxtime)
2866 {
2867   PetscFunctionBegin;
2868   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
2869   if (maxsteps) {
2870     PetscValidIntPointer(maxsteps,2);
2871     *maxsteps = ts->max_steps;
2872   }
2873   if (maxtime) {
2874     PetscValidScalarPointer(maxtime,3);
2875     *maxtime = ts->max_time;
2876   }
2877   PetscFunctionReturn(0);
2878 }
2879 
2880 #undef __FUNCT__
2881 #define __FUNCT__ "TSSetDuration"
2882 /*@
2883    TSSetDuration - Sets the maximum number of timesteps to use and
2884    maximum time for iteration.
2885 
2886    Logically Collective on TS
2887 
2888    Input Parameters:
2889 +  ts - the TS context obtained from TSCreate()
2890 .  maxsteps - maximum number of iterations to use
2891 -  maxtime - final time to iterate to
2892 
2893    Options Database Keys:
2894 .  -ts_max_steps <maxsteps> - Sets maxsteps
2895 .  -ts_final_time <maxtime> - Sets maxtime
2896 
2897    Notes:
2898    The default maximum number of iterations is 5000. Default time is 5.0
2899 
2900    Level: intermediate
2901 
2902 .keywords: TS, timestep, set, maximum, iterations
2903 
2904 .seealso: TSSetExactFinalTime()
2905 @*/
2906 PetscErrorCode  TSSetDuration(TS ts,PetscInt maxsteps,PetscReal maxtime)
2907 {
2908   PetscFunctionBegin;
2909   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2910   PetscValidLogicalCollectiveInt(ts,maxsteps,2);
2911   PetscValidLogicalCollectiveReal(ts,maxtime,2);
2912   if (maxsteps >= 0) ts->max_steps = maxsteps;
2913   if (maxtime != PETSC_DEFAULT) ts->max_time = maxtime;
2914   PetscFunctionReturn(0);
2915 }
2916 
2917 #undef __FUNCT__
2918 #define __FUNCT__ "TSSetSolution"
2919 /*@
2920    TSSetSolution - Sets the initial solution vector
2921    for use by the TS routines.
2922 
2923    Logically Collective on TS and Vec
2924 
2925    Input Parameters:
2926 +  ts - the TS context obtained from TSCreate()
2927 -  u - the solution vector
2928 
2929    Level: beginner
2930 
2931 .keywords: TS, timestep, set, solution, initial conditions
2932 @*/
2933 PetscErrorCode  TSSetSolution(TS ts,Vec u)
2934 {
2935   PetscErrorCode ierr;
2936   DM             dm;
2937 
2938   PetscFunctionBegin;
2939   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2940   PetscValidHeaderSpecific(u,VEC_CLASSID,2);
2941   ierr = PetscObjectReference((PetscObject)u);CHKERRQ(ierr);
2942   ierr = VecDestroy(&ts->vec_sol);CHKERRQ(ierr);
2943   ts->vec_sol = u;
2944 
2945   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
2946   ierr = DMShellSetGlobalVector(dm,u);CHKERRQ(ierr);
2947   PetscFunctionReturn(0);
2948 }
2949 
2950 #undef __FUNCT__
2951 #define __FUNCT__ "TSAdjointSetSteps"
2952 /*@
2953    TSAdjointSetSteps - Sets the number of steps the adjoint solver should take backward in time
2954 
2955    Logically Collective on TS
2956 
2957    Input Parameters:
2958 +  ts - the TS context obtained from TSCreate()
2959 .  steps - number of steps to use
2960 
2961    Level: intermediate
2962 
2963    Notes: Normally one does not call this and TSAdjointSolve() integrates back to the original timestep. One can call this
2964           so as to integrate back to less than the original timestep
2965 
2966 .keywords: TS, timestep, set, maximum, iterations
2967 
2968 .seealso: TSSetExactFinalTime()
2969 @*/
2970 PetscErrorCode  TSAdjointSetSteps(TS ts,PetscInt steps)
2971 {
2972   PetscFunctionBegin;
2973   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
2974   PetscValidLogicalCollectiveInt(ts,steps,2);
2975   if (steps < 0) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back a negative number of steps");
2976   if (steps > ts->total_steps) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_OUTOFRANGE,"Cannot step back more than the total number of forward steps");
2977   ts->adjoint_max_steps = steps;
2978   PetscFunctionReturn(0);
2979 }
2980 
2981 #undef __FUNCT__
2982 #define __FUNCT__ "TSSetCostGradients"
2983 /*@
2984    TSSetCostGradients - Sets the initial value of the gradients of the cost function w.r.t. initial conditions and w.r.t. the problem parameters
2985       for use by the TSAdjoint routines.
2986 
2987    Logically Collective on TS and Vec
2988 
2989    Input Parameters:
2990 +  ts - the TS context obtained from TSCreate()
2991 .  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
2992 -  mu - gradients with respect to the parameters, the number of entries in these vectors is the same as the number of parameters
2993 
2994    Level: beginner
2995 
2996    Notes: the entries in these vectors must be correctly initialized with the values lamda_i = df/dy|finaltime  mu_i = df/dp|finaltime
2997 
2998 .keywords: TS, timestep, set, sensitivity, initial conditions
2999 @*/
3000 PetscErrorCode  TSSetCostGradients(TS ts,PetscInt numcost,Vec *lambda,Vec *mu)
3001 {
3002   PetscFunctionBegin;
3003   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3004   PetscValidPointer(lambda,2);
3005   ts->vecs_sensi  = lambda;
3006   ts->vecs_sensip = mu;
3007   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");
3008   ts->numcost  = numcost;
3009   PetscFunctionReturn(0);
3010 }
3011 
3012 #undef __FUNCT__
3013 #define __FUNCT__ "TSAdjointSetRHSJacobian"
3014 /*@C
3015   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.
3016 
3017   Logically Collective on TS
3018 
3019   Input Parameters:
3020 + ts   - The TS context obtained from TSCreate()
3021 - func - The function
3022 
3023   Calling sequence of func:
3024 $ func (TS ts,PetscReal t,Vec y,Mat A,void *ctx);
3025 +   t - current timestep
3026 .   y - input vector (current ODE solution)
3027 .   A - output matrix
3028 -   ctx - [optional] user-defined function context
3029 
3030   Level: intermediate
3031 
3032   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
3033 
3034 .keywords: TS, sensitivity
3035 .seealso:
3036 @*/
3037 PetscErrorCode  TSAdjointSetRHSJacobian(TS ts,Mat Amat,PetscErrorCode (*func)(TS,PetscReal,Vec,Mat,void*),void *ctx)
3038 {
3039   PetscErrorCode ierr;
3040 
3041   PetscFunctionBegin;
3042   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3043   if (Amat) PetscValidHeaderSpecific(Amat,MAT_CLASSID,2);
3044 
3045   ts->rhsjacobianp    = func;
3046   ts->rhsjacobianpctx = ctx;
3047   if(Amat) {
3048     ierr = PetscObjectReference((PetscObject)Amat);CHKERRQ(ierr);
3049     ierr = MatDestroy(&ts->Jacp);CHKERRQ(ierr);
3050     ts->Jacp = Amat;
3051   }
3052   PetscFunctionReturn(0);
3053 }
3054 
3055 #undef __FUNCT__
3056 #define __FUNCT__ "TSAdjointComputeRHSJacobian"
3057 /*@C
3058   TSAdjointComputeRHSJacobian - Runs the user-defined Jacobian function.
3059 
3060   Collective on TS
3061 
3062   Input Parameters:
3063 . ts   - The TS context obtained from TSCreate()
3064 
3065   Level: developer
3066 
3067 .keywords: TS, sensitivity
3068 .seealso: TSAdjointSetRHSJacobian()
3069 @*/
3070 PetscErrorCode  TSAdjointComputeRHSJacobian(TS ts,PetscReal t,Vec X,Mat Amat)
3071 {
3072   PetscErrorCode ierr;
3073 
3074   PetscFunctionBegin;
3075   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3076   PetscValidHeaderSpecific(X,VEC_CLASSID,3);
3077   PetscValidPointer(Amat,4);
3078 
3079   PetscStackPush("TS user JacobianP function for sensitivity analysis");
3080   ierr = (*ts->rhsjacobianp)(ts,t,X,Amat,ts->rhsjacobianpctx); CHKERRQ(ierr);
3081   PetscStackPop;
3082   PetscFunctionReturn(0);
3083 }
3084 
3085 #undef __FUNCT__
3086 #define __FUNCT__ "TSSetCostIntegrand"
3087 /*@C
3088     TSSetCostIntegrand - Sets the routine for evaluating the integral term in one or more cost functions
3089 
3090     Logically Collective on TS
3091 
3092     Input Parameters:
3093 +   ts - the TS context obtained from TSCreate()
3094 .   numcost - number of gradients to be computed, this is the number of cost functions
3095 .   rf - routine for evaluating the integrand function
3096 .   drdyf - function that computes the gradients of the r's with respect to y,NULL if not a function y
3097 .   drdpf - function that computes the gradients of the r's with respect to p, NULL if not a function of p
3098 .   fwd - flag indicating whether to evaluate cost integral in the forward run or the adjoint run
3099 -   ctx - [optional] user-defined context for private data for the function evaluation routine (may be NULL)
3100 
3101     Calling sequence of rf:
3102 $     rf(TS ts,PetscReal t,Vec y,Vec f[],void *ctx);
3103 
3104 +   t - current timestep
3105 .   y - input vector
3106 .   f - function result; one vector entry for each cost function
3107 -   ctx - [optional] user-defined function context
3108 
3109    Calling sequence of drdyf:
3110 $    PetscErroCode drdyf(TS ts,PetscReal t,Vec y,Vec *drdy,void *ctx);
3111 
3112    Calling sequence of drdpf:
3113 $    PetscErroCode drdpf(TS ts,PetscReal t,Vec y,Vec *drdp,void *ctx);
3114 
3115     Level: intermediate
3116 
3117     Notes: For optimization there is generally a single cost function, numcost = 1. For sensitivities there may be multiple cost functions
3118 
3119 .keywords: TS, sensitivity analysis, timestep, set, quadrature, function
3120 
3121 .seealso: TSAdjointSetRHSJacobian(),TSGetCostGradients(), TSSetCostGradients()
3122 @*/
3123 PetscErrorCode  TSSetCostIntegrand(TS ts,PetscInt numcost,PetscErrorCode (*rf)(TS,PetscReal,Vec,Vec,void*),
3124                                                           PetscErrorCode (*drdyf)(TS,PetscReal,Vec,Vec*,void*),
3125                                                           PetscErrorCode (*drdpf)(TS,PetscReal,Vec,Vec*,void*),
3126                                                           PetscBool fwd,void *ctx)
3127 {
3128   PetscErrorCode ierr;
3129 
3130   PetscFunctionBegin;
3131   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3132   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()");
3133   if (!ts->numcost) ts->numcost=numcost;
3134 
3135   ts->costintegralfwd  = fwd; /* Evaluate the cost integral in forward run if fwd is true */
3136   ierr                 = VecCreateSeq(PETSC_COMM_SELF,numcost,&ts->vec_costintegral);CHKERRQ(ierr);
3137   ierr                 = VecDuplicate(ts->vec_costintegral,&ts->vec_costintegrand);CHKERRQ(ierr);
3138   ts->costintegrand    = rf;
3139   ts->costintegrandctx = ctx;
3140   ts->drdyfunction     = drdyf;
3141   ts->drdpfunction     = drdpf;
3142   PetscFunctionReturn(0);
3143 }
3144 
3145 #undef __FUNCT__
3146 #define __FUNCT__ "TSGetCostIntegral"
3147 /*@
3148    TSGetCostIntegral - Returns the values of the integral term in the cost functions.
3149    It is valid to call the routine after a backward run.
3150 
3151    Not Collective
3152 
3153    Input Parameter:
3154 .  ts - the TS context obtained from TSCreate()
3155 
3156    Output Parameter:
3157 .  v - the vector containing the integrals for each cost function
3158 
3159    Level: intermediate
3160 
3161 .seealso: TSSetCostIntegrand()
3162 
3163 .keywords: TS, sensitivity analysis
3164 @*/
3165 PetscErrorCode  TSGetCostIntegral(TS ts,Vec *v)
3166 {
3167   PetscFunctionBegin;
3168   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3169   PetscValidPointer(v,2);
3170   *v = ts->vec_costintegral;
3171   PetscFunctionReturn(0);
3172 }
3173 
3174 #undef __FUNCT__
3175 #define __FUNCT__ "TSAdjointComputeCostIntegrand"
3176 /*@
3177    TSAdjointComputeCostIntegrand - Evaluates the integral function in the cost functions.
3178 
3179    Input Parameters:
3180 +  ts - the TS context
3181 .  t - current time
3182 -  y - state vector, i.e. current solution
3183 
3184    Output Parameter:
3185 .  q - vector of size numcost to hold the outputs
3186 
3187    Note:
3188    Most users should not need to explicitly call this routine, as it
3189    is used internally within the sensitivity analysis context.
3190 
3191    Level: developer
3192 
3193 .keywords: TS, compute
3194 
3195 .seealso: TSSetCostIntegrand()
3196 @*/
3197 PetscErrorCode TSAdjointComputeCostIntegrand(TS ts,PetscReal t,Vec y,Vec q)
3198 {
3199   PetscErrorCode ierr;
3200 
3201   PetscFunctionBegin;
3202   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3203   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3204   PetscValidHeaderSpecific(q,VEC_CLASSID,4);
3205 
3206   ierr = PetscLogEventBegin(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3207   if (ts->costintegrand) {
3208     PetscStackPush("TS user integrand in the cost function");
3209     ierr = (*ts->costintegrand)(ts,t,y,q,ts->costintegrandctx);CHKERRQ(ierr);
3210     PetscStackPop;
3211   } else {
3212     ierr = VecZeroEntries(q);CHKERRQ(ierr);
3213   }
3214 
3215   ierr = PetscLogEventEnd(TS_FunctionEval,ts,y,q,0);CHKERRQ(ierr);
3216   PetscFunctionReturn(0);
3217 }
3218 
3219 #undef __FUNCT__
3220 #define __FUNCT__ "TSAdjointComputeDRDYFunction"
3221 /*@
3222   TSAdjointComputeDRDYFunction - Runs the user-defined DRDY function.
3223 
3224   Collective on TS
3225 
3226   Input Parameters:
3227 . ts   - The TS context obtained from TSCreate()
3228 
3229   Notes:
3230   TSAdjointComputeDRDYFunction() is typically used for sensitivity implementation,
3231   so most users would not generally call this routine themselves.
3232 
3233   Level: developer
3234 
3235 .keywords: TS, sensitivity
3236 .seealso: TSAdjointComputeDRDYFunction()
3237 @*/
3238 PetscErrorCode  TSAdjointComputeDRDYFunction(TS ts,PetscReal t,Vec y,Vec *drdy)
3239 {
3240   PetscErrorCode ierr;
3241 
3242   PetscFunctionBegin;
3243   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3244   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3245 
3246   PetscStackPush("TS user DRDY function for sensitivity analysis");
3247   ierr = (*ts->drdyfunction)(ts,t,y,drdy,ts->costintegrandctx); CHKERRQ(ierr);
3248   PetscStackPop;
3249   PetscFunctionReturn(0);
3250 }
3251 
3252 #undef __FUNCT__
3253 #define __FUNCT__ "TSAdjointComputeDRDPFunction"
3254 /*@
3255   TSAdjointComputeDRDPFunction - Runs the user-defined DRDP function.
3256 
3257   Collective on TS
3258 
3259   Input Parameters:
3260 . ts   - The TS context obtained from TSCreate()
3261 
3262   Notes:
3263   TSDRDPFunction() is typically used for sensitivity implementation,
3264   so most users would not generally call this routine themselves.
3265 
3266   Level: developer
3267 
3268 .keywords: TS, sensitivity
3269 .seealso: TSAdjointSetDRDPFunction()
3270 @*/
3271 PetscErrorCode  TSAdjointComputeDRDPFunction(TS ts,PetscReal t,Vec y,Vec *drdp)
3272 {
3273   PetscErrorCode ierr;
3274 
3275   PetscFunctionBegin;
3276   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3277   PetscValidHeaderSpecific(y,VEC_CLASSID,3);
3278 
3279   PetscStackPush("TS user DRDP function for sensitivity analysis");
3280   ierr = (*ts->drdpfunction)(ts,t,y,drdp,ts->costintegrandctx); CHKERRQ(ierr);
3281   PetscStackPop;
3282   PetscFunctionReturn(0);
3283 }
3284 
3285 #undef __FUNCT__
3286 #define __FUNCT__ "TSSetPreStep"
3287 /*@C
3288   TSSetPreStep - Sets the general-purpose function
3289   called once at the beginning of each time step.
3290 
3291   Logically Collective on TS
3292 
3293   Input Parameters:
3294 + ts   - The TS context obtained from TSCreate()
3295 - func - The function
3296 
3297   Calling sequence of func:
3298 . func (TS ts);
3299 
3300   Level: intermediate
3301 
3302   Note:
3303   If a step is rejected, TSStep() will call this routine again before each attempt.
3304   The last completed time step number can be queried using TSGetTimeStepNumber(), the
3305   size of the step being attempted can be obtained using TSGetTimeStep().
3306 
3307 .keywords: TS, timestep
3308 .seealso: TSSetPreStage(), TSSetPostStage(), TSSetPostStep(), TSStep()
3309 @*/
3310 PetscErrorCode  TSSetPreStep(TS ts, PetscErrorCode (*func)(TS))
3311 {
3312   PetscFunctionBegin;
3313   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3314   ts->prestep = func;
3315   PetscFunctionReturn(0);
3316 }
3317 
3318 #undef __FUNCT__
3319 #define __FUNCT__ "TSPreStep"
3320 /*@
3321   TSPreStep - Runs the user-defined pre-step function.
3322 
3323   Collective on TS
3324 
3325   Input Parameters:
3326 . ts   - The TS context obtained from TSCreate()
3327 
3328   Notes:
3329   TSPreStep() is typically used within time stepping implementations,
3330   so most users would not generally call this routine themselves.
3331 
3332   Level: developer
3333 
3334 .keywords: TS, timestep
3335 .seealso: TSSetPreStep(), TSPreStage(), TSPostStage(), TSPostStep()
3336 @*/
3337 PetscErrorCode  TSPreStep(TS ts)
3338 {
3339   PetscErrorCode ierr;
3340 
3341   PetscFunctionBegin;
3342   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3343   if (ts->prestep) {
3344     PetscStackCallStandard((*ts->prestep),(ts));
3345   }
3346   PetscFunctionReturn(0);
3347 }
3348 
3349 #undef __FUNCT__
3350 #define __FUNCT__ "TSSetPreStage"
3351 /*@C
3352   TSSetPreStage - Sets the general-purpose function
3353   called once at the beginning of each stage.
3354 
3355   Logically Collective on TS
3356 
3357   Input Parameters:
3358 + ts   - The TS context obtained from TSCreate()
3359 - func - The function
3360 
3361   Calling sequence of func:
3362 . PetscErrorCode func(TS ts, PetscReal stagetime);
3363 
3364   Level: intermediate
3365 
3366   Note:
3367   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3368   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3369   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3370 
3371 .keywords: TS, timestep
3372 .seealso: TSSetPostStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3373 @*/
3374 PetscErrorCode  TSSetPreStage(TS ts, PetscErrorCode (*func)(TS,PetscReal))
3375 {
3376   PetscFunctionBegin;
3377   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3378   ts->prestage = func;
3379   PetscFunctionReturn(0);
3380 }
3381 
3382 #undef __FUNCT__
3383 #define __FUNCT__ "TSSetPostStage"
3384 /*@C
3385   TSSetPostStage - Sets the general-purpose function
3386   called once at the end of each stage.
3387 
3388   Logically Collective on TS
3389 
3390   Input Parameters:
3391 + ts   - The TS context obtained from TSCreate()
3392 - func - The function
3393 
3394   Calling sequence of func:
3395 . PetscErrorCode func(TS ts, PetscReal stagetime, PetscInt stageindex, Vec* Y);
3396 
3397   Level: intermediate
3398 
3399   Note:
3400   There may be several stages per time step. If the solve for a given stage fails, the step may be rejected and retried.
3401   The time step number being computed can be queried using TSGetTimeStepNumber() and the total size of the step being
3402   attempted can be obtained using TSGetTimeStep(). The time at the start of the step is available via TSGetTime().
3403 
3404 .keywords: TS, timestep
3405 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3406 @*/
3407 PetscErrorCode  TSSetPostStage(TS ts, PetscErrorCode (*func)(TS,PetscReal,PetscInt,Vec*))
3408 {
3409   PetscFunctionBegin;
3410   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3411   ts->poststage = func;
3412   PetscFunctionReturn(0);
3413 }
3414 
3415 #undef __FUNCT__
3416 #define __FUNCT__ "TSSetPostEvaluate"
3417 /*@C
3418   TSSetPostEvaluate - Sets the general-purpose function
3419   called once at the end of each step evaluation.
3420 
3421   Logically Collective on TS
3422 
3423   Input Parameters:
3424 + ts   - The TS context obtained from TSCreate()
3425 - func - The function
3426 
3427   Calling sequence of func:
3428 . PetscErrorCode func(TS ts);
3429 
3430   Level: intermediate
3431 
3432   Note:
3433   Semantically, TSSetPostEvaluate() differs from TSSetPostStep() since the function it sets is called before event-handling
3434   thus guaranteeing the same solution (computed by the time-stepper) will be passed to it. On the other hand, TSPostStep()
3435   may be passed a different solution, possibly changed by the event handler. TSPostEvaluate() is called after the next step
3436   solution is evaluated allowing to modify it, if need be. The solution can be obtained with TSGetSolution(), the time step
3437   with TSGetTimeStep(), and the time at the start of the step is available via TSGetTime()
3438 
3439 .keywords: TS, timestep
3440 .seealso: TSSetPreStage(), TSSetPreStep(), TSSetPostStep(), TSGetApplicationContext()
3441 @*/
3442 PetscErrorCode  TSSetPostEvaluate(TS ts, PetscErrorCode (*func)(TS))
3443 {
3444   PetscFunctionBegin;
3445   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3446   ts->postevaluate = func;
3447   PetscFunctionReturn(0);
3448 }
3449 
3450 #undef __FUNCT__
3451 #define __FUNCT__ "TSPreStage"
3452 /*@
3453   TSPreStage - Runs the user-defined pre-stage function set using TSSetPreStage()
3454 
3455   Collective on TS
3456 
3457   Input Parameters:
3458 . ts          - The TS context obtained from TSCreate()
3459   stagetime   - The absolute time of the current stage
3460 
3461   Notes:
3462   TSPreStage() is typically used within time stepping implementations,
3463   most users would not generally call this routine themselves.
3464 
3465   Level: developer
3466 
3467 .keywords: TS, timestep
3468 .seealso: TSPostStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3469 @*/
3470 PetscErrorCode  TSPreStage(TS ts, PetscReal stagetime)
3471 {
3472   PetscErrorCode ierr;
3473 
3474   PetscFunctionBegin;
3475   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3476   if (ts->prestage) {
3477     PetscStackCallStandard((*ts->prestage),(ts,stagetime));
3478   }
3479   PetscFunctionReturn(0);
3480 }
3481 
3482 #undef __FUNCT__
3483 #define __FUNCT__ "TSPostStage"
3484 /*@
3485   TSPostStage - Runs the user-defined post-stage function set using TSSetPostStage()
3486 
3487   Collective on TS
3488 
3489   Input Parameters:
3490 . ts          - The TS context obtained from TSCreate()
3491   stagetime   - The absolute time of the current stage
3492   stageindex  - Stage number
3493   Y           - Array of vectors (of size = total number
3494                 of stages) with the stage solutions
3495 
3496   Notes:
3497   TSPostStage() is typically used within time stepping implementations,
3498   most users would not generally call this routine themselves.
3499 
3500   Level: developer
3501 
3502 .keywords: TS, timestep
3503 .seealso: TSPreStage(), TSSetPreStep(), TSPreStep(), TSPostStep()
3504 @*/
3505 PetscErrorCode  TSPostStage(TS ts, PetscReal stagetime, PetscInt stageindex, Vec *Y)
3506 {
3507   PetscErrorCode ierr;
3508 
3509   PetscFunctionBegin;
3510   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3511   if (ts->poststage) {
3512     PetscStackCallStandard((*ts->poststage),(ts,stagetime,stageindex,Y));
3513   }
3514   PetscFunctionReturn(0);
3515 }
3516 
3517 #undef __FUNCT__
3518 #define __FUNCT__ "TSPostEvaluate"
3519 /*@
3520   TSPostEvaluate - Runs the user-defined post-evaluate function set using TSSetPostEvaluate()
3521 
3522   Collective on TS
3523 
3524   Input Parameters:
3525 . ts          - The TS context obtained from TSCreate()
3526 
3527   Notes:
3528   TSPostEvaluate() is typically used within time stepping implementations,
3529   most users would not generally call this routine themselves.
3530 
3531   Level: developer
3532 
3533 .keywords: TS, timestep
3534 .seealso: TSSetPostEvaluate(), TSSetPreStep(), TSPreStep(), TSPostStep()
3535 @*/
3536 PetscErrorCode  TSPostEvaluate(TS ts)
3537 {
3538   PetscErrorCode ierr;
3539 
3540   PetscFunctionBegin;
3541   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3542   if (ts->postevaluate) {
3543     PetscStackCallStandard((*ts->postevaluate),(ts));
3544   }
3545   PetscFunctionReturn(0);
3546 }
3547 
3548 #undef __FUNCT__
3549 #define __FUNCT__ "TSSetPostStep"
3550 /*@C
3551   TSSetPostStep - Sets the general-purpose function
3552   called once at the end of each time step.
3553 
3554   Logically Collective on TS
3555 
3556   Input Parameters:
3557 + ts   - The TS context obtained from TSCreate()
3558 - func - The function
3559 
3560   Calling sequence of func:
3561 $ func (TS ts);
3562 
3563   Notes:
3564   The function set by TSSetPostStep() is called after each successful step. The solution vector X
3565   obtained by TSGetSolution() may be different than that computed at the step end if the event handler
3566   locates an event and TSPostEvent() modifies it. Use TSSetPostEvaluate() if an unmodified solution is needed instead.
3567 
3568   Level: intermediate
3569 
3570 .keywords: TS, timestep
3571 .seealso: TSSetPreStep(), TSSetPreStage(), TSSetPostEvaluate(), TSGetTimeStep(), TSGetTimeStepNumber(), TSGetTime()
3572 @*/
3573 PetscErrorCode  TSSetPostStep(TS ts, PetscErrorCode (*func)(TS))
3574 {
3575   PetscFunctionBegin;
3576   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
3577   ts->poststep = func;
3578   PetscFunctionReturn(0);
3579 }
3580 
3581 #undef __FUNCT__
3582 #define __FUNCT__ "TSPostStep"
3583 /*@
3584   TSPostStep - Runs the user-defined post-step function.
3585 
3586   Collective on TS
3587 
3588   Input Parameters:
3589 . ts   - The TS context obtained from TSCreate()
3590 
3591   Notes:
3592   TSPostStep() is typically used within time stepping implementations,
3593   so most users would not generally call this routine themselves.
3594 
3595   Level: developer
3596 
3597 .keywords: TS, timestep
3598 @*/
3599 PetscErrorCode  TSPostStep(TS ts)
3600 {
3601   PetscErrorCode ierr;
3602 
3603   PetscFunctionBegin;
3604   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3605   if (ts->poststep) {
3606     PetscStackCallStandard((*ts->poststep),(ts));
3607   }
3608   PetscFunctionReturn(0);
3609 }
3610 
3611 /* ------------ Routines to set performance monitoring options ----------- */
3612 
3613 #undef __FUNCT__
3614 #define __FUNCT__ "TSMonitorSet"
3615 /*@C
3616    TSMonitorSet - Sets an ADDITIONAL function that is to be used at every
3617    timestep to display the iteration's  progress.
3618 
3619    Logically Collective on TS
3620 
3621    Input Parameters:
3622 +  ts - the TS context obtained from TSCreate()
3623 .  monitor - monitoring routine
3624 .  mctx - [optional] user-defined context for private data for the
3625              monitor routine (use NULL if no context is desired)
3626 -  monitordestroy - [optional] routine that frees monitor context
3627           (may be NULL)
3628 
3629    Calling sequence of monitor:
3630 $    int monitor(TS ts,PetscInt steps,PetscReal time,Vec u,void *mctx)
3631 
3632 +    ts - the TS context
3633 .    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)
3634 .    time - current time
3635 .    u - current iterate
3636 -    mctx - [optional] monitoring context
3637 
3638    Notes:
3639    This routine adds an additional monitor to the list of monitors that
3640    already has been loaded.
3641 
3642    Fortran notes: Only a single monitor function can be set for each TS object
3643 
3644    Level: intermediate
3645 
3646 .keywords: TS, timestep, set, monitor
3647 
3648 .seealso: TSMonitorDefault(), TSMonitorCancel()
3649 @*/
3650 PetscErrorCode  TSMonitorSet(TS ts,PetscErrorCode (*monitor)(TS,PetscInt,PetscReal,Vec,void*),void *mctx,PetscErrorCode (*mdestroy)(void**))
3651 {
3652   PetscErrorCode ierr;
3653   PetscInt       i;
3654   PetscBool      identical;
3655 
3656   PetscFunctionBegin;
3657   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3658   for (i=0; i<ts->numbermonitors;i++) {
3659     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))monitor,mctx,mdestroy,(PetscErrorCode (*)(void))ts->monitor[i],ts->monitorcontext[i],ts->monitordestroy[i],&identical);CHKERRQ(ierr);
3660     if (identical) PetscFunctionReturn(0);
3661   }
3662   if (ts->numbermonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many monitors set");
3663   ts->monitor[ts->numbermonitors]          = monitor;
3664   ts->monitordestroy[ts->numbermonitors]   = mdestroy;
3665   ts->monitorcontext[ts->numbermonitors++] = (void*)mctx;
3666   PetscFunctionReturn(0);
3667 }
3668 
3669 #undef __FUNCT__
3670 #define __FUNCT__ "TSMonitorCancel"
3671 /*@C
3672    TSMonitorCancel - Clears all the monitors that have been set on a time-step object.
3673 
3674    Logically Collective on TS
3675 
3676    Input Parameters:
3677 .  ts - the TS context obtained from TSCreate()
3678 
3679    Notes:
3680    There is no way to remove a single, specific monitor.
3681 
3682    Level: intermediate
3683 
3684 .keywords: TS, timestep, set, monitor
3685 
3686 .seealso: TSMonitorDefault(), TSMonitorSet()
3687 @*/
3688 PetscErrorCode  TSMonitorCancel(TS ts)
3689 {
3690   PetscErrorCode ierr;
3691   PetscInt       i;
3692 
3693   PetscFunctionBegin;
3694   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3695   for (i=0; i<ts->numbermonitors; i++) {
3696     if (ts->monitordestroy[i]) {
3697       ierr = (*ts->monitordestroy[i])(&ts->monitorcontext[i]);CHKERRQ(ierr);
3698     }
3699   }
3700   ts->numbermonitors = 0;
3701   PetscFunctionReturn(0);
3702 }
3703 
3704 #undef __FUNCT__
3705 #define __FUNCT__ "TSMonitorDefault"
3706 /*@C
3707    TSMonitorDefault - The Default monitor, prints the timestep and time for each step
3708 
3709    Level: intermediate
3710 
3711 .keywords: TS, set, monitor
3712 
3713 .seealso:  TSMonitorSet()
3714 @*/
3715 PetscErrorCode TSMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscViewerAndFormat *vf)
3716 {
3717   PetscErrorCode ierr;
3718   PetscViewer    viewer =  vf->viewer;
3719   PetscBool      iascii,ibinary;
3720 
3721   PetscFunctionBegin;
3722   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3723   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr);
3724   ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&ibinary);CHKERRQ(ierr);
3725   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3726   if (iascii) {
3727     ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3728     if (step == -1){ /* this indicates it is an interpolated solution */
3729       ierr = PetscViewerASCIIPrintf(viewer,"Interpolated solution at time %g between steps %D and %D\n",(double)ptime,ts->steps-1,ts->steps);CHKERRQ(ierr);
3730     } else {
3731       ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3732     }
3733     ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3734   } else if (ibinary) {
3735     PetscMPIInt rank;
3736     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)viewer),&rank);CHKERRQ(ierr);
3737     if (!rank) {
3738       PetscBool skipHeader;
3739       PetscInt  classid = REAL_FILE_CLASSID;
3740 
3741       ierr = PetscViewerBinaryGetSkipHeader(viewer,&skipHeader);CHKERRQ(ierr);
3742       if (!skipHeader) {
3743          ierr = PetscViewerBinaryWrite(viewer,&classid,1,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
3744        }
3745       ierr = PetscRealView(1,&ptime,viewer);CHKERRQ(ierr);
3746     } else {
3747       ierr = PetscRealView(0,&ptime,viewer);CHKERRQ(ierr);
3748     }
3749   }
3750   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3751   PetscFunctionReturn(0);
3752 }
3753 
3754 #undef __FUNCT__
3755 #define __FUNCT__ "TSAdjointMonitorSet"
3756 /*@C
3757    TSAdjointMonitorSet - Sets an ADDITIONAL function that is to be used at every
3758    timestep to display the iteration's  progress.
3759 
3760    Logically Collective on TS
3761 
3762    Input Parameters:
3763 +  ts - the TS context obtained from TSCreate()
3764 .  adjointmonitor - monitoring routine
3765 .  adjointmctx - [optional] user-defined context for private data for the
3766              monitor routine (use NULL if no context is desired)
3767 -  adjointmonitordestroy - [optional] routine that frees monitor context
3768           (may be NULL)
3769 
3770    Calling sequence of monitor:
3771 $    int adjointmonitor(TS ts,PetscInt steps,PetscReal time,Vec u,PetscInt numcost,Vec *lambda, Vec *mu,void *adjointmctx)
3772 
3773 +    ts - the TS context
3774 .    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
3775                                been interpolated to)
3776 .    time - current time
3777 .    u - current iterate
3778 .    numcost - number of cost functionos
3779 .    lambda - sensitivities to initial conditions
3780 .    mu - sensitivities to parameters
3781 -    adjointmctx - [optional] adjoint monitoring context
3782 
3783    Notes:
3784    This routine adds an additional monitor to the list of monitors that
3785    already has been loaded.
3786 
3787    Fortran notes: Only a single monitor function can be set for each TS object
3788 
3789    Level: intermediate
3790 
3791 .keywords: TS, timestep, set, adjoint, monitor
3792 
3793 .seealso: TSAdjointMonitorCancel()
3794 @*/
3795 PetscErrorCode  TSAdjointMonitorSet(TS ts,PetscErrorCode (*adjointmonitor)(TS,PetscInt,PetscReal,Vec,PetscInt,Vec*,Vec*,void*),void *adjointmctx,PetscErrorCode (*adjointmdestroy)(void**))
3796 {
3797   PetscErrorCode ierr;
3798   PetscInt       i;
3799   PetscBool      identical;
3800 
3801   PetscFunctionBegin;
3802   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3803   for (i=0; i<ts->numbermonitors;i++) {
3804     ierr = PetscMonitorCompare((PetscErrorCode (*)(void))adjointmonitor,adjointmctx,adjointmdestroy,(PetscErrorCode (*)(void))ts->adjointmonitor[i],ts->adjointmonitorcontext[i],ts->adjointmonitordestroy[i],&identical);CHKERRQ(ierr);
3805     if (identical) PetscFunctionReturn(0);
3806   }
3807   if (ts->numberadjointmonitors >= MAXTSMONITORS) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Too many adjoint monitors set");
3808   ts->adjointmonitor[ts->numberadjointmonitors]          = adjointmonitor;
3809   ts->adjointmonitordestroy[ts->numberadjointmonitors]   = adjointmdestroy;
3810   ts->adjointmonitorcontext[ts->numberadjointmonitors++] = (void*)adjointmctx;
3811   PetscFunctionReturn(0);
3812 }
3813 
3814 #undef __FUNCT__
3815 #define __FUNCT__ "TSAdjointMonitorCancel"
3816 /*@C
3817    TSAdjointMonitorCancel - Clears all the adjoint monitors that have been set on a time-step object.
3818 
3819    Logically Collective on TS
3820 
3821    Input Parameters:
3822 .  ts - the TS context obtained from TSCreate()
3823 
3824    Notes:
3825    There is no way to remove a single, specific monitor.
3826 
3827    Level: intermediate
3828 
3829 .keywords: TS, timestep, set, adjoint, monitor
3830 
3831 .seealso: TSAdjointMonitorSet()
3832 @*/
3833 PetscErrorCode  TSAdjointMonitorCancel(TS ts)
3834 {
3835   PetscErrorCode ierr;
3836   PetscInt       i;
3837 
3838   PetscFunctionBegin;
3839   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3840   for (i=0; i<ts->numberadjointmonitors; i++) {
3841     if (ts->adjointmonitordestroy[i]) {
3842       ierr = (*ts->adjointmonitordestroy[i])(&ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
3843     }
3844   }
3845   ts->numberadjointmonitors = 0;
3846   PetscFunctionReturn(0);
3847 }
3848 
3849 #undef __FUNCT__
3850 #define __FUNCT__ "TSAdjointMonitorDefault"
3851 /*@C
3852    TSAdjointMonitorDefault - the default monitor of adjoint computations
3853 
3854    Level: intermediate
3855 
3856 .keywords: TS, set, monitor
3857 
3858 .seealso: TSAdjointMonitorSet()
3859 @*/
3860 PetscErrorCode TSAdjointMonitorDefault(TS ts,PetscInt step,PetscReal ptime,Vec v,PetscInt numcost,Vec *lambda,Vec *mu,PetscViewerAndFormat *vf)
3861 {
3862   PetscErrorCode ierr;
3863   PetscViewer    viewer = vf->viewer;
3864 
3865   PetscFunctionBegin;
3866   PetscValidHeaderSpecific(viewer,PETSC_VIEWER_CLASSID,4);
3867   ierr = PetscViewerPushFormat(viewer,vf->format);CHKERRQ(ierr);
3868   ierr = PetscViewerASCIIAddTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3869   ierr = PetscViewerASCIIPrintf(viewer,"%D TS dt %g time %g%s",step,(double)ts->time_step,(double)ptime,ts->steprollback ? " (r)\n" : "\n");CHKERRQ(ierr);
3870   ierr = PetscViewerASCIISubtractTab(viewer,((PetscObject)ts)->tablevel);CHKERRQ(ierr);
3871   ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr);
3872   PetscFunctionReturn(0);
3873 }
3874 
3875 #undef __FUNCT__
3876 #define __FUNCT__ "TSInterpolate"
3877 /*@
3878    TSInterpolate - Interpolate the solution computed during the previous step to an arbitrary location in the interval
3879 
3880    Collective on TS
3881 
3882    Input Argument:
3883 +  ts - time stepping context
3884 -  t - time to interpolate to
3885 
3886    Output Argument:
3887 .  U - state at given time
3888 
3889    Level: intermediate
3890 
3891    Developer Notes:
3892    TSInterpolate() and the storing of previous steps/stages should be generalized to support delay differential equations and continuous adjoints.
3893 
3894 .keywords: TS, set
3895 
3896 .seealso: TSSetExactFinalTime(), TSSolve()
3897 @*/
3898 PetscErrorCode TSInterpolate(TS ts,PetscReal t,Vec U)
3899 {
3900   PetscErrorCode ierr;
3901 
3902   PetscFunctionBegin;
3903   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3904   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
3905   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);
3906   if (!ts->ops->interpolate) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"%s does not provide interpolation",((PetscObject)ts)->type_name);
3907   ierr = (*ts->ops->interpolate)(ts,t,U);CHKERRQ(ierr);
3908   PetscFunctionReturn(0);
3909 }
3910 
3911 #undef __FUNCT__
3912 #define __FUNCT__ "TSStep"
3913 /*@
3914    TSStep - Steps one time step
3915 
3916    Collective on TS
3917 
3918    Input Parameter:
3919 .  ts - the TS context obtained from TSCreate()
3920 
3921    Level: developer
3922 
3923    Notes:
3924    The public interface for the ODE/DAE solvers is TSSolve(), you should almost for sure be using that routine and not this routine.
3925 
3926    The hook set using TSSetPreStep() is called before each attempt to take the step. In general, the time step size may
3927    be changed due to adaptive error controller or solve failures. Note that steps may contain multiple stages.
3928 
3929    This may over-step the final time provided in TSSetDuration() depending on the time-step used. TSSolve() interpolates to exactly the
3930    time provided in TSSetDuration(). One can use TSInterpolate() to determine an interpolated solution within the final timestep.
3931 
3932 .keywords: TS, timestep, solve
3933 
3934 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSSetPostStage(), TSInterpolate()
3935 @*/
3936 PetscErrorCode  TSStep(TS ts)
3937 {
3938   PetscErrorCode   ierr;
3939   static PetscBool cite = PETSC_FALSE;
3940   PetscReal        ptime;
3941 
3942   PetscFunctionBegin;
3943   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
3944   ierr = PetscCitationsRegister("@techreport{tspaper,\n"
3945                                 "  title       = {{PETSc/TS}: A Modern Scalable {DAE/ODE} Solver Library},\n"
3946                                 "  author      = {Shrirang Abhyankar and Jed Brown and Emil Constantinescu and Debojyoti Ghosh and Barry F. Smith},\n"
3947                                 "  type        = {Preprint},\n"
3948                                 "  number      = {ANL/MCS-P5061-0114},\n"
3949                                 "  institution = {Argonne National Laboratory},\n"
3950                                 "  year        = {2014}\n}\n",&cite);CHKERRQ(ierr);
3951 
3952   ierr = TSSetUp(ts);CHKERRQ(ierr);
3953   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
3954 
3955   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()");
3956   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");
3957 
3958   if (!ts->steps) ts->ptime_prev = ts->ptime;
3959   ts->reason = TS_CONVERGED_ITERATING;
3960   ptime = ts->ptime; ts->ptime_prev_rollback = ts->ptime_prev;
3961   if (!ts->ops->step) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSStep not implemented for type '%s'",((PetscObject)ts)->type_name);
3962   ierr = PetscLogEventBegin(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3963   ierr = (*ts->ops->step)(ts);CHKERRQ(ierr);
3964   ierr = PetscLogEventEnd(TS_Step,ts,0,0,0);CHKERRQ(ierr);
3965   ts->ptime_prev = ptime;
3966   ts->steps++; ts->total_steps++;
3967   ts->steprollback = PETSC_FALSE;
3968   ts->steprestart  = PETSC_FALSE;
3969 
3970   if (ts->reason < 0) {
3971     if (ts->errorifstepfailed) {
3972       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]);
3973       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
3974     }
3975   } else if (!ts->reason) {
3976     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
3977     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
3978   }
3979   PetscFunctionReturn(0);
3980 }
3981 
3982 #undef __FUNCT__
3983 #define __FUNCT__ "TSAdjointStep"
3984 /*@
3985    TSAdjointStep - Steps one time step backward in the adjoint run
3986 
3987    Collective on TS
3988 
3989    Input Parameter:
3990 .  ts - the TS context obtained from TSCreate()
3991 
3992    Level: intermediate
3993 
3994 .keywords: TS, adjoint, step
3995 
3996 .seealso: TSAdjointSetUp(), TSAdjointSolve()
3997 @*/
3998 PetscErrorCode  TSAdjointStep(TS ts)
3999 {
4000   DM               dm;
4001   PetscErrorCode   ierr;
4002 
4003   PetscFunctionBegin;
4004   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4005   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4006   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4007 
4008   ierr = VecViewFromOptions(ts->vec_sol,(PetscObject)ts,"-ts_view_solution");CHKERRQ(ierr);
4009 
4010   ts->reason = TS_CONVERGED_ITERATING;
4011   ts->ptime_prev = ts->ptime;
4012   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);
4013   ierr = PetscLogEventBegin(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
4014   ierr = (*ts->ops->adjointstep)(ts);CHKERRQ(ierr);
4015   ierr = PetscLogEventEnd(TS_AdjointStep,ts,0,0,0);CHKERRQ(ierr);
4016   ts->steps++; ts->total_steps--;
4017 
4018   if (ts->reason < 0) {
4019     if (ts->errorifstepfailed) {
4020       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]);
4021       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]);
4022       else SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_NOT_CONVERGED,"TSStep has failed due to %s",TSConvergedReasons[ts->reason]);
4023     }
4024   } else if (!ts->reason) {
4025     if (ts->steps >= ts->adjoint_max_steps) ts->reason = TS_CONVERGED_ITS;
4026   }
4027   PetscFunctionReturn(0);
4028 }
4029 
4030 #undef __FUNCT__
4031 #define __FUNCT__ "TSEvaluateWLTE"
4032 /*@
4033    TSEvaluateWLTE - Evaluate the weighted local truncation error norm
4034    at the end of a time step with a given order of accuracy.
4035 
4036    Collective on TS
4037 
4038    Input Arguments:
4039 +  ts - time stepping context
4040 .  wnormtype - norm type, either NORM_2 or NORM_INFINITY
4041 -  order - optional, desired order for the error evaluation or PETSC_DECIDE
4042 
4043    Output Arguments:
4044 +  order - optional, the actual order of the error evaluation
4045 -  wlte - the weighted local truncation error norm
4046 
4047    Level: advanced
4048 
4049    Notes:
4050    If the timestepper cannot evaluate the error in a particular step
4051    (eg. in the first step or restart steps after event handling),
4052    this routine returns wlte=-1.0 .
4053 
4054 .seealso: TSStep(), TSAdapt, TSErrorWeightedNorm()
4055 @*/
4056 PetscErrorCode TSEvaluateWLTE(TS ts,NormType wnormtype,PetscInt *order,PetscReal *wlte)
4057 {
4058   PetscErrorCode ierr;
4059 
4060   PetscFunctionBegin;
4061   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4062   PetscValidType(ts,1);
4063   PetscValidLogicalCollectiveEnum(ts,wnormtype,4);
4064   if (order) PetscValidIntPointer(order,3);
4065   if (order) PetscValidLogicalCollectiveInt(ts,*order,3);
4066   PetscValidRealPointer(wlte,4);
4067   if (wnormtype != NORM_2 && wnormtype != NORM_INFINITY) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
4068   if (!ts->ops->evaluatewlte) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateWLTE not implemented for type '%s'",((PetscObject)ts)->type_name);
4069   ierr = (*ts->ops->evaluatewlte)(ts,wnormtype,order,wlte);CHKERRQ(ierr);
4070   PetscFunctionReturn(0);
4071 }
4072 
4073 #undef __FUNCT__
4074 #define __FUNCT__ "TSEvaluateStep"
4075 /*@
4076    TSEvaluateStep - Evaluate the solution at the end of a time step with a given order of accuracy.
4077 
4078    Collective on TS
4079 
4080    Input Arguments:
4081 +  ts - time stepping context
4082 .  order - desired order of accuracy
4083 -  done - whether the step was evaluated at this order (pass NULL to generate an error if not available)
4084 
4085    Output Arguments:
4086 .  U - state at the end of the current step
4087 
4088    Level: advanced
4089 
4090    Notes:
4091    This function cannot be called until all stages have been evaluated.
4092    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.
4093 
4094 .seealso: TSStep(), TSAdapt
4095 @*/
4096 PetscErrorCode TSEvaluateStep(TS ts,PetscInt order,Vec U,PetscBool *done)
4097 {
4098   PetscErrorCode ierr;
4099 
4100   PetscFunctionBegin;
4101   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4102   PetscValidType(ts,1);
4103   PetscValidHeaderSpecific(U,VEC_CLASSID,3);
4104   if (!ts->ops->evaluatestep) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSEvaluateStep not implemented for type '%s'",((PetscObject)ts)->type_name);
4105   ierr = (*ts->ops->evaluatestep)(ts,order,U,done);CHKERRQ(ierr);
4106   PetscFunctionReturn(0);
4107 }
4108 
4109 #undef __FUNCT__
4110 #define __FUNCT__ "TSForwardCostIntegral"
4111 /*@
4112  TSForwardCostIntegral - Evaluate the cost integral in the forward run.
4113 
4114  Collective on TS
4115 
4116  Input Arguments:
4117  .  ts - time stepping context
4118 
4119  Level: advanced
4120 
4121  Notes:
4122  This function cannot be called until TSStep() has been completed.
4123 
4124  .seealso: TSSolve(), TSAdjointCostIntegral()
4125  @*/
4126 PetscErrorCode TSForwardCostIntegral(TS ts)
4127 {
4128     PetscErrorCode ierr;
4129     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4130     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);
4131     ierr = (*ts->ops->forwardintegral)(ts);CHKERRQ(ierr);
4132     PetscFunctionReturn(0);
4133 }
4134 
4135 #undef __FUNCT__
4136 #define __FUNCT__ "TSSolve"
4137 /*@
4138    TSSolve - Steps the requested number of timesteps.
4139 
4140    Collective on TS
4141 
4142    Input Parameter:
4143 +  ts - the TS context obtained from TSCreate()
4144 -  u - the solution vector  (can be null if TSSetSolution() was used and TSSetExactFinalTime(ts,TS_EXACTFINALTIME_MATCHSTEP) was not used,
4145                              otherwise must contain the initial conditions and will contain the solution at the final requested time
4146 
4147    Level: beginner
4148 
4149    Notes:
4150    The final time returned by this function may be different from the time of the internally
4151    held state accessible by TSGetSolution() and TSGetTime() because the method may have
4152    stepped over the final time.
4153 
4154 .keywords: TS, timestep, solve
4155 
4156 .seealso: TSCreate(), TSSetSolution(), TSStep(), TSGetTime(), TSGetSolveTime()
4157 @*/
4158 PetscErrorCode TSSolve(TS ts,Vec u)
4159 {
4160   Vec               solution;
4161   PetscErrorCode    ierr;
4162 
4163   PetscFunctionBegin;
4164   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4165   if (u) PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4166 
4167   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 */
4168     PetscValidHeaderSpecific(u,VEC_CLASSID,2);
4169     if (!ts->vec_sol || u == ts->vec_sol) {
4170       ierr = VecDuplicate(u,&solution);CHKERRQ(ierr);
4171       ierr = TSSetSolution(ts,solution);CHKERRQ(ierr);
4172       ierr = VecDestroy(&solution);CHKERRQ(ierr); /* grant ownership */
4173     }
4174     ierr = VecCopy(u,ts->vec_sol);CHKERRQ(ierr);
4175   } else if (u) {
4176     ierr = TSSetSolution(ts,u);CHKERRQ(ierr);
4177   }
4178   ierr = TSSetUp(ts);CHKERRQ(ierr);
4179   ierr = TSTrajectorySetUp(ts->trajectory,ts);CHKERRQ(ierr);
4180 
4181   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()");
4182   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");
4183 
4184   /* reset time step and iteration counters */
4185   ts->steps             = 0;
4186   ts->ksp_its           = 0;
4187   ts->snes_its          = 0;
4188   ts->num_snes_failures = 0;
4189   ts->reject            = 0;
4190   ts->reason            = TS_CONVERGED_ITERATING;
4191 
4192   ierr = TSViewFromOptions(ts,NULL,"-ts_view_pre");CHKERRQ(ierr);
4193 
4194   if (ts->ops->solve) { /* This private interface is transitional and should be removed when all implementations are updated. */
4195     ierr = (*ts->ops->solve)(ts);CHKERRQ(ierr);
4196     if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4197     ts->solvetime = ts->ptime;
4198     solution = ts->vec_sol;
4199   } else { /* Step the requested number of timesteps. */
4200     if (ts->steps >= ts->max_steps)     ts->reason = TS_CONVERGED_ITS;
4201     else if (ts->ptime >= ts->max_time) ts->reason = TS_CONVERGED_TIME;
4202     ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4203     ierr = TSEventInitialize(ts->event,ts,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4204     ts->steprollback = PETSC_FALSE;
4205     ts->steprestart  = PETSC_TRUE;
4206 
4207     while (!ts->reason) {
4208       ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4209       if (!ts->steprollback) {
4210         ierr = TSPreStep(ts);CHKERRQ(ierr);
4211       }
4212       ierr = TSStep(ts);CHKERRQ(ierr);
4213       if (ts->vec_costintegral && ts->costintegralfwd) { /* Must evaluate the cost integral before event is handled. The cost integral value can also be rolled back. */
4214         ierr = TSForwardCostIntegral(ts);CHKERRQ(ierr);
4215       }
4216       ierr = TSEventHandler(ts);CHKERRQ(ierr); /* The right-hand side may be changed due to event. Be careful with Any computation using the RHS information after this point. */
4217       if (!ts->steprollback) {
4218         ierr = TSTrajectorySet(ts->trajectory,ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4219         ierr = TSPostStep(ts);CHKERRQ(ierr);
4220       }
4221     }
4222     ierr = TSMonitor(ts,ts->steps,ts->ptime,ts->vec_sol);CHKERRQ(ierr);
4223 
4224     if (ts->exact_final_time == TS_EXACTFINALTIME_INTERPOLATE && ts->ptime > ts->max_time) {
4225       ierr = TSInterpolate(ts,ts->max_time,u);CHKERRQ(ierr);
4226       ts->solvetime = ts->max_time;
4227       solution = u;
4228       ierr = TSMonitor(ts,-1,ts->solvetime,solution);CHKERRQ(ierr);
4229     } else {
4230       if (u) {ierr = VecCopy(ts->vec_sol,u);CHKERRQ(ierr);}
4231       ts->solvetime = ts->ptime;
4232       solution = ts->vec_sol;
4233     }
4234   }
4235 
4236   ierr = TSViewFromOptions(ts,NULL,"-ts_view");CHKERRQ(ierr);
4237   ierr = VecViewFromOptions(solution,NULL,"-ts_view_solution");CHKERRQ(ierr);
4238   ierr = PetscObjectSAWsBlock((PetscObject)ts);CHKERRQ(ierr);
4239   if (ts->adjoint_solve) {
4240     ierr = TSAdjointSolve(ts);CHKERRQ(ierr);
4241   }
4242   PetscFunctionReturn(0);
4243 }
4244 
4245 #undef __FUNCT__
4246 #define __FUNCT__ "TSAdjointCostIntegral"
4247 /*@
4248  TSAdjointCostIntegral - Evaluate the cost integral in the adjoint run.
4249 
4250  Collective on TS
4251 
4252  Input Arguments:
4253  .  ts - time stepping context
4254 
4255  Level: advanced
4256 
4257  Notes:
4258  This function cannot be called until TSAdjointStep() has been completed.
4259 
4260  .seealso: TSAdjointSolve(), TSAdjointStep
4261  @*/
4262 PetscErrorCode TSAdjointCostIntegral(TS ts)
4263 {
4264     PetscErrorCode ierr;
4265     PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4266     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);
4267     ierr = (*ts->ops->adjointintegral)(ts);CHKERRQ(ierr);
4268     PetscFunctionReturn(0);
4269 }
4270 
4271 #undef __FUNCT__
4272 #define __FUNCT__ "TSAdjointSolve"
4273 /*@
4274    TSAdjointSolve - Solves the discrete ajoint problem for an ODE/DAE
4275 
4276    Collective on TS
4277 
4278    Input Parameter:
4279 .  ts - the TS context obtained from TSCreate()
4280 
4281    Options Database:
4282 . -ts_adjoint_view_solution <viewerinfo> - views the first gradient with respect to the initial conditions
4283 
4284    Level: intermediate
4285 
4286    Notes:
4287    This must be called after a call to TSSolve() that solves the forward problem
4288 
4289    By default this will integrate back to the initial time, one can use TSAdjointSetSteps() to step back to a later time
4290 
4291 .keywords: TS, timestep, solve
4292 
4293 .seealso: TSCreate(), TSSetCostGradients(), TSSetSolution(), TSAdjointStep()
4294 @*/
4295 PetscErrorCode TSAdjointSolve(TS ts)
4296 {
4297   PetscErrorCode    ierr;
4298 
4299   PetscFunctionBegin;
4300   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4301   ierr = TSAdjointSetUp(ts);CHKERRQ(ierr);
4302 
4303   /* reset time step and iteration counters */
4304   ts->steps             = 0;
4305   ts->ksp_its           = 0;
4306   ts->snes_its          = 0;
4307   ts->num_snes_failures = 0;
4308   ts->reject            = 0;
4309   ts->reason            = TS_CONVERGED_ITERATING;
4310 
4311   if (!ts->adjoint_max_steps) ts->adjoint_max_steps = ts->total_steps;
4312 
4313   if (ts->steps >= ts->adjoint_max_steps)     ts->reason = TS_CONVERGED_ITS;
4314   while (!ts->reason) {
4315     ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4316     ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4317     ierr = TSAdjointEventHandler(ts);CHKERRQ(ierr);
4318     ierr = TSAdjointStep(ts);CHKERRQ(ierr);
4319     if (ts->vec_costintegral && !ts->costintegralfwd) {
4320       ierr = TSAdjointCostIntegral(ts);CHKERRQ(ierr);
4321     }
4322   }
4323   ierr = TSTrajectoryGet(ts->trajectory,ts,ts->total_steps,&ts->ptime);CHKERRQ(ierr);
4324   ierr = TSAdjointMonitor(ts,ts->total_steps,ts->ptime,ts->vec_sol,ts->numcost,ts->vecs_sensi,ts->vecs_sensip);CHKERRQ(ierr);
4325   ts->solvetime = ts->ptime;
4326   ierr = TSTrajectoryViewFromOptions(ts->trajectory,NULL,"-ts_trajectory_view");CHKERRQ(ierr);
4327   ierr = VecViewFromOptions(ts->vecs_sensi[0],(PetscObject) ts, "-ts_adjoint_view_solution");CHKERRQ(ierr);
4328   PetscFunctionReturn(0);
4329 }
4330 
4331 #undef __FUNCT__
4332 #define __FUNCT__ "TSMonitor"
4333 /*@C
4334    TSMonitor - Runs all user-provided monitor routines set using TSMonitorSet()
4335 
4336    Collective on TS
4337 
4338    Input Parameters:
4339 +  ts - time stepping context obtained from TSCreate()
4340 .  step - step number that has just completed
4341 .  ptime - model time of the state
4342 -  u - state at the current model time
4343 
4344    Notes:
4345    TSMonitor() is typically used automatically within the time stepping implementations.
4346    Users would almost never call this routine directly.
4347 
4348    A step of -1 indicates that the monitor is being called on a solution obtained by interpolating from computed solutions
4349 
4350    Level: developer
4351 
4352 .keywords: TS, timestep
4353 @*/
4354 PetscErrorCode TSMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u)
4355 {
4356   DM             dm;
4357   PetscInt       i,n = ts->numbermonitors;
4358   PetscErrorCode ierr;
4359 
4360   PetscFunctionBegin;
4361   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4362   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4363 
4364   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4365   ierr = DMSetOutputSequenceNumber(dm,step,ptime);CHKERRQ(ierr);
4366 
4367   ierr = VecLockPush(u);CHKERRQ(ierr);
4368   for (i=0; i<n; i++) {
4369     ierr = (*ts->monitor[i])(ts,step,ptime,u,ts->monitorcontext[i]);CHKERRQ(ierr);
4370   }
4371   ierr = VecLockPop(u);CHKERRQ(ierr);
4372   PetscFunctionReturn(0);
4373 }
4374 
4375 #undef __FUNCT__
4376 #define __FUNCT__ "TSAdjointMonitor"
4377 /*@C
4378    TSAdjointMonitor - Runs all user-provided adjoint monitor routines set using TSAdjointMonitorSet()
4379 
4380    Collective on TS
4381 
4382    Input Parameters:
4383 +  ts - time stepping context obtained from TSCreate()
4384 .  step - step number that has just completed
4385 .  ptime - model time of the state
4386 .  u - state at the current model time
4387 .  numcost - number of cost functions (dimension of lambda  or mu)
4388 .  lambda - vectors containing the gradients of the cost functions with respect to the ODE/DAE solution variables
4389 -  mu - vectors containing the gradients of the cost functions with respect to the problem parameters
4390 
4391    Notes:
4392    TSAdjointMonitor() is typically used automatically within the time stepping implementations.
4393    Users would almost never call this routine directly.
4394 
4395    Level: developer
4396 
4397 .keywords: TS, timestep
4398 @*/
4399 PetscErrorCode TSAdjointMonitor(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda, Vec *mu)
4400 {
4401   PetscErrorCode ierr;
4402   PetscInt       i,n = ts->numberadjointmonitors;
4403 
4404   PetscFunctionBegin;
4405   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4406   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
4407   ierr = VecLockPush(u);CHKERRQ(ierr);
4408   for (i=0; i<n; i++) {
4409     ierr = (*ts->adjointmonitor[i])(ts,step,ptime,u,numcost,lambda,mu,ts->adjointmonitorcontext[i]);CHKERRQ(ierr);
4410   }
4411   ierr = VecLockPop(u);CHKERRQ(ierr);
4412   PetscFunctionReturn(0);
4413 }
4414 
4415 /* ------------------------------------------------------------------------*/
4416 #undef __FUNCT__
4417 #define __FUNCT__ "TSMonitorLGCtxCreate"
4418 /*@C
4419    TSMonitorLGCtxCreate - Creates a TSMonitorLGCtx context for use with
4420    TS to monitor the solution process graphically in various ways
4421 
4422    Collective on TS
4423 
4424    Input Parameters:
4425 +  host - the X display to open, or null for the local machine
4426 .  label - the title to put in the title bar
4427 .  x, y - the screen coordinates of the upper left coordinate of the window
4428 .  m, n - the screen width and height in pixels
4429 -  howoften - if positive then determines the frequency of the plotting, if -1 then only at the final time
4430 
4431    Output Parameter:
4432 .  ctx - the context
4433 
4434    Options Database Key:
4435 +  -ts_monitor_lg_timestep - automatically sets line graph monitor
4436 .  -ts_monitor_lg_solution - monitor the solution (or certain values of the solution by calling TSMonitorLGSetDisplayVariables() or TSMonitorLGCtxSetDisplayVariables())
4437 .  -ts_monitor_lg_error -  monitor the error
4438 .  -ts_monitor_lg_ksp_iterations - monitor the number of KSP iterations needed for each timestep
4439 .  -ts_monitor_lg_snes_iterations - monitor the number of SNES iterations needed for each timestep
4440 -  -lg_use_markers <true,false> - mark the data points (at each time step) on the plot; default is true
4441 
4442    Notes:
4443    Use TSMonitorLGCtxDestroy() to destroy.
4444 
4445    One can provide a function that transforms the solution before plotting it with TSMonitorLGCtxSetTransform() or TSMonitorLGSetTransform()
4446 
4447    Many of the functions that control the monitoring have two forms: TSMonitorLGSet/GetXXXX() and TSMonitorLGCtxSet/GetXXXX() the first take a TS object as the
4448    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
4449    as the first argument.
4450 
4451    One can control the names displayed for each solution or error variable with TSMonitorLGCtxSetVariableNames() or TSMonitorLGSetVariableNames()
4452 
4453 
4454    Level: intermediate
4455 
4456 .keywords: TS, monitor, line graph, residual
4457 
4458 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError(), TSMonitorDefault(), VecView(),
4459            TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
4460            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
4461            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
4462            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
4463 
4464 @*/
4465 PetscErrorCode  TSMonitorLGCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorLGCtx *ctx)
4466 {
4467   PetscDraw      draw;
4468   PetscErrorCode ierr;
4469 
4470   PetscFunctionBegin;
4471   ierr = PetscNew(ctx);CHKERRQ(ierr);
4472   ierr = PetscDrawCreate(comm,host,label,x,y,m,n,&draw);CHKERRQ(ierr);
4473   ierr = PetscDrawSetFromOptions(draw);CHKERRQ(ierr);
4474   ierr = PetscDrawLGCreate(draw,1,&(*ctx)->lg);CHKERRQ(ierr);
4475   ierr = PetscDrawLGSetFromOptions((*ctx)->lg);CHKERRQ(ierr);
4476   ierr = PetscDrawDestroy(&draw);CHKERRQ(ierr);
4477   (*ctx)->howoften = howoften;
4478   PetscFunctionReturn(0);
4479 }
4480 
4481 #undef __FUNCT__
4482 #define __FUNCT__ "TSMonitorLGTimeStep"
4483 PetscErrorCode TSMonitorLGTimeStep(TS ts,PetscInt step,PetscReal ptime,Vec v,void *monctx)
4484 {
4485   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
4486   PetscReal      x   = ptime,y;
4487   PetscErrorCode ierr;
4488 
4489   PetscFunctionBegin;
4490   if (step < 0) PetscFunctionReturn(0); /* -1 indicates an interpolated solution */
4491   if (!step) {
4492     PetscDrawAxis axis;
4493     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
4494     ierr = PetscDrawAxisSetLabels(axis,"Timestep as function of time","Time","Time Step");CHKERRQ(ierr);
4495     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
4496   }
4497   ierr = TSGetTimeStep(ts,&y);CHKERRQ(ierr);
4498   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
4499   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
4500     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
4501     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
4502   }
4503   PetscFunctionReturn(0);
4504 }
4505 
4506 #undef __FUNCT__
4507 #define __FUNCT__ "TSMonitorLGCtxDestroy"
4508 /*@C
4509    TSMonitorLGCtxDestroy - Destroys a line graph context that was created
4510    with TSMonitorLGCtxCreate().
4511 
4512    Collective on TSMonitorLGCtx
4513 
4514    Input Parameter:
4515 .  ctx - the monitor context
4516 
4517    Level: intermediate
4518 
4519 .keywords: TS, monitor, line graph, destroy
4520 
4521 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep();
4522 @*/
4523 PetscErrorCode  TSMonitorLGCtxDestroy(TSMonitorLGCtx *ctx)
4524 {
4525   PetscErrorCode ierr;
4526 
4527   PetscFunctionBegin;
4528   if ((*ctx)->transformdestroy) {
4529     ierr = ((*ctx)->transformdestroy)((*ctx)->transformctx);CHKERRQ(ierr);
4530   }
4531   ierr = PetscDrawLGDestroy(&(*ctx)->lg);CHKERRQ(ierr);
4532   ierr = PetscStrArrayDestroy(&(*ctx)->names);CHKERRQ(ierr);
4533   ierr = PetscStrArrayDestroy(&(*ctx)->displaynames);CHKERRQ(ierr);
4534   ierr = PetscFree((*ctx)->displayvariables);CHKERRQ(ierr);
4535   ierr = PetscFree((*ctx)->displayvalues);CHKERRQ(ierr);
4536   ierr = PetscFree(*ctx);CHKERRQ(ierr);
4537   PetscFunctionReturn(0);
4538 }
4539 
4540 #undef __FUNCT__
4541 #define __FUNCT__ "TSGetTime"
4542 /*@
4543    TSGetTime - Gets the time of the most recently completed step.
4544 
4545    Not Collective
4546 
4547    Input Parameter:
4548 .  ts - the TS context obtained from TSCreate()
4549 
4550    Output Parameter:
4551 .  t  - the current time. This time may not corresponds to the final time set with TSSetDuration(), use TSGetSolveTime().
4552 
4553    Level: beginner
4554 
4555    Note:
4556    When called during time step evaluation (e.g. during residual evaluation or via hooks set using TSSetPreStep(),
4557    TSSetPreStage(), TSSetPostStage(), or TSSetPostStep()), the time is the time at the start of the step being evaluated.
4558 
4559 .seealso: TSSetInitialTimeStep(), TSGetTimeStep(), TSGetSolveTime()
4560 
4561 .keywords: TS, get, time
4562 @*/
4563 PetscErrorCode  TSGetTime(TS ts,PetscReal *t)
4564 {
4565   PetscFunctionBegin;
4566   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4567   PetscValidRealPointer(t,2);
4568   *t = ts->ptime;
4569   PetscFunctionReturn(0);
4570 }
4571 
4572 #undef __FUNCT__
4573 #define __FUNCT__ "TSGetPrevTime"
4574 /*@
4575    TSGetPrevTime - Gets the starting time of the previously completed step.
4576 
4577    Not Collective
4578 
4579    Input Parameter:
4580 .  ts - the TS context obtained from TSCreate()
4581 
4582    Output Parameter:
4583 .  t  - the previous time
4584 
4585    Level: beginner
4586 
4587 .seealso: TSSetInitialTimeStep(), TSGetTimeStep()
4588 
4589 .keywords: TS, get, time
4590 @*/
4591 PetscErrorCode  TSGetPrevTime(TS ts,PetscReal *t)
4592 {
4593   PetscFunctionBegin;
4594   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4595   PetscValidRealPointer(t,2);
4596   *t = ts->ptime_prev;
4597   PetscFunctionReturn(0);
4598 }
4599 
4600 #undef __FUNCT__
4601 #define __FUNCT__ "TSSetTime"
4602 /*@
4603    TSSetTime - Allows one to reset the time.
4604 
4605    Logically Collective on TS
4606 
4607    Input Parameters:
4608 +  ts - the TS context obtained from TSCreate()
4609 -  time - the time
4610 
4611    Level: intermediate
4612 
4613 .seealso: TSGetTime(), TSSetDuration()
4614 
4615 .keywords: TS, set, time
4616 @*/
4617 PetscErrorCode  TSSetTime(TS ts, PetscReal t)
4618 {
4619   PetscFunctionBegin;
4620   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4621   PetscValidLogicalCollectiveReal(ts,t,2);
4622   ts->ptime = t;
4623   PetscFunctionReturn(0);
4624 }
4625 
4626 #undef __FUNCT__
4627 #define __FUNCT__ "TSSetOptionsPrefix"
4628 /*@C
4629    TSSetOptionsPrefix - Sets the prefix used for searching for all
4630    TS options in the database.
4631 
4632    Logically Collective on TS
4633 
4634    Input Parameter:
4635 +  ts     - The TS context
4636 -  prefix - The prefix to prepend to all option names
4637 
4638    Notes:
4639    A hyphen (-) must NOT be given at the beginning of the prefix name.
4640    The first character of all runtime options is AUTOMATICALLY the
4641    hyphen.
4642 
4643    Level: advanced
4644 
4645 .keywords: TS, set, options, prefix, database
4646 
4647 .seealso: TSSetFromOptions()
4648 
4649 @*/
4650 PetscErrorCode  TSSetOptionsPrefix(TS ts,const char prefix[])
4651 {
4652   PetscErrorCode ierr;
4653   SNES           snes;
4654 
4655   PetscFunctionBegin;
4656   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4657   ierr = PetscObjectSetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4658   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4659   ierr = SNESSetOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4660   PetscFunctionReturn(0);
4661 }
4662 
4663 
4664 #undef __FUNCT__
4665 #define __FUNCT__ "TSAppendOptionsPrefix"
4666 /*@C
4667    TSAppendOptionsPrefix - Appends to the prefix used for searching for all
4668    TS options in the database.
4669 
4670    Logically Collective on TS
4671 
4672    Input Parameter:
4673 +  ts     - The TS context
4674 -  prefix - The prefix to prepend to all option names
4675 
4676    Notes:
4677    A hyphen (-) must NOT be given at the beginning of the prefix name.
4678    The first character of all runtime options is AUTOMATICALLY the
4679    hyphen.
4680 
4681    Level: advanced
4682 
4683 .keywords: TS, append, options, prefix, database
4684 
4685 .seealso: TSGetOptionsPrefix()
4686 
4687 @*/
4688 PetscErrorCode  TSAppendOptionsPrefix(TS ts,const char prefix[])
4689 {
4690   PetscErrorCode ierr;
4691   SNES           snes;
4692 
4693   PetscFunctionBegin;
4694   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4695   ierr = PetscObjectAppendOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4696   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4697   ierr = SNESAppendOptionsPrefix(snes,prefix);CHKERRQ(ierr);
4698   PetscFunctionReturn(0);
4699 }
4700 
4701 #undef __FUNCT__
4702 #define __FUNCT__ "TSGetOptionsPrefix"
4703 /*@C
4704    TSGetOptionsPrefix - Sets the prefix used for searching for all
4705    TS options in the database.
4706 
4707    Not Collective
4708 
4709    Input Parameter:
4710 .  ts - The TS context
4711 
4712    Output Parameter:
4713 .  prefix - A pointer to the prefix string used
4714 
4715    Notes: On the fortran side, the user should pass in a string 'prifix' of
4716    sufficient length to hold the prefix.
4717 
4718    Level: intermediate
4719 
4720 .keywords: TS, get, options, prefix, database
4721 
4722 .seealso: TSAppendOptionsPrefix()
4723 @*/
4724 PetscErrorCode  TSGetOptionsPrefix(TS ts,const char *prefix[])
4725 {
4726   PetscErrorCode ierr;
4727 
4728   PetscFunctionBegin;
4729   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
4730   PetscValidPointer(prefix,2);
4731   ierr = PetscObjectGetOptionsPrefix((PetscObject)ts,prefix);CHKERRQ(ierr);
4732   PetscFunctionReturn(0);
4733 }
4734 
4735 #undef __FUNCT__
4736 #define __FUNCT__ "TSGetRHSJacobian"
4737 /*@C
4738    TSGetRHSJacobian - Returns the Jacobian J at the present timestep.
4739 
4740    Not Collective, but parallel objects are returned if TS is parallel
4741 
4742    Input Parameter:
4743 .  ts  - The TS context obtained from TSCreate()
4744 
4745    Output Parameters:
4746 +  Amat - The (approximate) Jacobian J of G, where U_t = G(U,t)  (or NULL)
4747 .  Pmat - The matrix from which the preconditioner is constructed, usually the same as Amat  (or NULL)
4748 .  func - Function to compute the Jacobian of the RHS  (or NULL)
4749 -  ctx - User-defined context for Jacobian evaluation routine  (or NULL)
4750 
4751    Notes: You can pass in NULL for any return argument you do not need.
4752 
4753    Level: intermediate
4754 
4755 .seealso: TSGetTimeStep(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4756 
4757 .keywords: TS, timestep, get, matrix, Jacobian
4758 @*/
4759 PetscErrorCode  TSGetRHSJacobian(TS ts,Mat *Amat,Mat *Pmat,TSRHSJacobian *func,void **ctx)
4760 {
4761   PetscErrorCode ierr;
4762   SNES           snes;
4763   DM             dm;
4764 
4765   PetscFunctionBegin;
4766   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4767   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4768   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4769   ierr = DMTSGetRHSJacobian(dm,func,ctx);CHKERRQ(ierr);
4770   PetscFunctionReturn(0);
4771 }
4772 
4773 #undef __FUNCT__
4774 #define __FUNCT__ "TSGetIJacobian"
4775 /*@C
4776    TSGetIJacobian - Returns the implicit Jacobian at the present timestep.
4777 
4778    Not Collective, but parallel objects are returned if TS is parallel
4779 
4780    Input Parameter:
4781 .  ts  - The TS context obtained from TSCreate()
4782 
4783    Output Parameters:
4784 +  Amat  - The (approximate) Jacobian of F(t,U,U_t)
4785 .  Pmat - The matrix from which the preconditioner is constructed, often the same as Amat
4786 .  f   - The function to compute the matrices
4787 - ctx - User-defined context for Jacobian evaluation routine
4788 
4789    Notes: You can pass in NULL for any return argument you do not need.
4790 
4791    Level: advanced
4792 
4793 .seealso: TSGetTimeStep(), TSGetRHSJacobian(), TSGetMatrices(), TSGetTime(), TSGetTimeStepNumber()
4794 
4795 .keywords: TS, timestep, get, matrix, Jacobian
4796 @*/
4797 PetscErrorCode  TSGetIJacobian(TS ts,Mat *Amat,Mat *Pmat,TSIJacobian *f,void **ctx)
4798 {
4799   PetscErrorCode ierr;
4800   SNES           snes;
4801   DM             dm;
4802 
4803   PetscFunctionBegin;
4804   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
4805   ierr = SNESSetUpMatrices(snes);CHKERRQ(ierr);
4806   ierr = SNESGetJacobian(snes,Amat,Pmat,NULL,NULL);CHKERRQ(ierr);
4807   ierr = TSGetDM(ts,&dm);CHKERRQ(ierr);
4808   ierr = DMTSGetIJacobian(dm,f,ctx);CHKERRQ(ierr);
4809   PetscFunctionReturn(0);
4810 }
4811 
4812 
4813 #undef __FUNCT__
4814 #define __FUNCT__ "TSMonitorDrawSolution"
4815 /*@C
4816    TSMonitorDrawSolution - Monitors progress of the TS solvers by calling
4817    VecView() for the solution at each timestep
4818 
4819    Collective on TS
4820 
4821    Input Parameters:
4822 +  ts - the TS context
4823 .  step - current time-step
4824 .  ptime - current time
4825 -  dummy - either a viewer or NULL
4826 
4827    Options Database:
4828 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
4829 
4830    Notes: the initial solution and current solution are not display with a common axis scaling so generally the option -ts_monitor_draw_solution_initial
4831        will look bad
4832 
4833    Level: intermediate
4834 
4835 .keywords: TS,  vector, monitor, view
4836 
4837 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4838 @*/
4839 PetscErrorCode  TSMonitorDrawSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4840 {
4841   PetscErrorCode   ierr;
4842   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4843   PetscDraw        draw;
4844 
4845   PetscFunctionBegin;
4846   if (!step && ictx->showinitial) {
4847     if (!ictx->initialsolution) {
4848       ierr = VecDuplicate(u,&ictx->initialsolution);CHKERRQ(ierr);
4849     }
4850     ierr = VecCopy(u,ictx->initialsolution);CHKERRQ(ierr);
4851   }
4852   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4853 
4854   if (ictx->showinitial) {
4855     PetscReal pause;
4856     ierr = PetscViewerDrawGetPause(ictx->viewer,&pause);CHKERRQ(ierr);
4857     ierr = PetscViewerDrawSetPause(ictx->viewer,0.0);CHKERRQ(ierr);
4858     ierr = VecView(ictx->initialsolution,ictx->viewer);CHKERRQ(ierr);
4859     ierr = PetscViewerDrawSetPause(ictx->viewer,pause);CHKERRQ(ierr);
4860     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_TRUE);CHKERRQ(ierr);
4861   }
4862   ierr = VecView(u,ictx->viewer);CHKERRQ(ierr);
4863   if (ictx->showtimestepandtime) {
4864     PetscReal xl,yl,xr,yr,h;
4865     char      time[32];
4866 
4867     ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4868     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4869     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4870     h    = yl + .95*(yr - yl);
4871     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4872     ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4873   }
4874 
4875   if (ictx->showinitial) {
4876     ierr = PetscViewerDrawSetHold(ictx->viewer,PETSC_FALSE);CHKERRQ(ierr);
4877   }
4878   PetscFunctionReturn(0);
4879 }
4880 
4881 #undef __FUNCT__
4882 #define __FUNCT__ "TSAdjointMonitorDrawSensi"
4883 /*@C
4884    TSAdjointMonitorDrawSensi - Monitors progress of the adjoint TS solvers by calling
4885    VecView() for the sensitivities to initial states at each timestep
4886 
4887    Collective on TS
4888 
4889    Input Parameters:
4890 +  ts - the TS context
4891 .  step - current time-step
4892 .  ptime - current time
4893 .  u - current state
4894 .  numcost - number of cost functions
4895 .  lambda - sensitivities to initial conditions
4896 .  mu - sensitivities to parameters
4897 -  dummy - either a viewer or NULL
4898 
4899    Level: intermediate
4900 
4901 .keywords: TS,  vector, adjoint, monitor, view
4902 
4903 .seealso: TSAdjointMonitorSet(), TSAdjointMonitorDefault(), VecView()
4904 @*/
4905 PetscErrorCode  TSAdjointMonitorDrawSensi(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscInt numcost,Vec *lambda,Vec *mu,void *dummy)
4906 {
4907   PetscErrorCode   ierr;
4908   TSMonitorDrawCtx ictx = (TSMonitorDrawCtx)dummy;
4909   PetscDraw        draw;
4910   PetscReal        xl,yl,xr,yr,h;
4911   char             time[32];
4912 
4913   PetscFunctionBegin;
4914   if (!(((ictx->howoften > 0) && (!(step % ictx->howoften))) || ((ictx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
4915 
4916   ierr = VecView(lambda[0],ictx->viewer);CHKERRQ(ierr);
4917   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4918   ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4919   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4920   h    = yl + .95*(yr - yl);
4921   ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4922   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4923   PetscFunctionReturn(0);
4924 }
4925 
4926 #undef __FUNCT__
4927 #define __FUNCT__ "TSMonitorDrawSolutionPhase"
4928 /*@C
4929    TSMonitorDrawSolutionPhase - Monitors progress of the TS solvers by plotting the solution as a phase diagram
4930 
4931    Collective on TS
4932 
4933    Input Parameters:
4934 +  ts - the TS context
4935 .  step - current time-step
4936 .  ptime - current time
4937 -  dummy - either a viewer or NULL
4938 
4939    Level: intermediate
4940 
4941 .keywords: TS,  vector, monitor, view
4942 
4943 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
4944 @*/
4945 PetscErrorCode  TSMonitorDrawSolutionPhase(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
4946 {
4947   PetscErrorCode    ierr;
4948   TSMonitorDrawCtx  ictx = (TSMonitorDrawCtx)dummy;
4949   PetscDraw         draw;
4950   PetscDrawAxis     axis;
4951   PetscInt          n;
4952   PetscMPIInt       size;
4953   PetscReal         U0,U1,xl,yl,xr,yr,h;
4954   char              time[32];
4955   const PetscScalar *U;
4956 
4957   PetscFunctionBegin;
4958   ierr = MPI_Comm_size(PetscObjectComm((PetscObject)ts),&size);CHKERRQ(ierr);
4959   if (size != 1) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only allowed for sequential runs");
4960   ierr = VecGetSize(u,&n);CHKERRQ(ierr);
4961   if (n != 2) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Only for ODEs with two unknowns");
4962 
4963   ierr = PetscViewerDrawGetDraw(ictx->viewer,0,&draw);CHKERRQ(ierr);
4964   ierr = PetscViewerDrawGetDrawAxis(ictx->viewer,0,&axis);CHKERRQ(ierr);
4965   ierr = PetscDrawAxisGetLimits(axis,&xl,&xr,&yl,&yr);CHKERRQ(ierr);
4966   if (!step) {
4967     ierr = PetscDrawClear(draw);CHKERRQ(ierr);
4968     ierr = PetscDrawAxisDraw(axis);CHKERRQ(ierr);
4969   }
4970 
4971   ierr = VecGetArrayRead(u,&U);CHKERRQ(ierr);
4972   U0 = PetscRealPart(U[0]);
4973   U1 = PetscRealPart(U[1]);
4974   ierr = VecRestoreArrayRead(u,&U);CHKERRQ(ierr);
4975   if ((U0 < xl) || (U1 < yl) || (U0 > xr) || (U1 > yr)) PetscFunctionReturn(0);
4976 
4977   ierr = PetscDrawCollectiveBegin(draw);CHKERRQ(ierr);
4978   ierr = PetscDrawPoint(draw,U0,U1,PETSC_DRAW_BLACK);CHKERRQ(ierr);
4979   if (ictx->showtimestepandtime) {
4980     ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
4981     ierr = PetscSNPrintf(time,32,"Timestep %d Time %g",(int)step,(double)ptime);CHKERRQ(ierr);
4982     h    = yl + .95*(yr - yl);
4983     ierr = PetscDrawStringCentered(draw,.5*(xl+xr),h,PETSC_DRAW_BLACK,time);CHKERRQ(ierr);
4984   }
4985   ierr = PetscDrawCollectiveEnd(draw);CHKERRQ(ierr);
4986   ierr = PetscDrawFlush(draw);CHKERRQ(ierr);
4987   ierr = PetscDrawSave(draw);CHKERRQ(ierr);
4988   PetscFunctionReturn(0);
4989 }
4990 
4991 
4992 #undef __FUNCT__
4993 #define __FUNCT__ "TSMonitorDrawCtxDestroy"
4994 /*@C
4995    TSMonitorDrawCtxDestroy - Destroys the monitor context for TSMonitorDrawSolution()
4996 
4997    Collective on TS
4998 
4999    Input Parameters:
5000 .    ctx - the monitor context
5001 
5002    Level: intermediate
5003 
5004 .keywords: TS,  vector, monitor, view
5005 
5006 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawSolution(), TSMonitorDrawError()
5007 @*/
5008 PetscErrorCode  TSMonitorDrawCtxDestroy(TSMonitorDrawCtx *ictx)
5009 {
5010   PetscErrorCode ierr;
5011 
5012   PetscFunctionBegin;
5013   ierr = PetscViewerDestroy(&(*ictx)->viewer);CHKERRQ(ierr);
5014   ierr = VecDestroy(&(*ictx)->initialsolution);CHKERRQ(ierr);
5015   ierr = PetscFree(*ictx);CHKERRQ(ierr);
5016   PetscFunctionReturn(0);
5017 }
5018 
5019 #undef __FUNCT__
5020 #define __FUNCT__ "TSMonitorDrawCtxCreate"
5021 /*@C
5022    TSMonitorDrawCtxCreate - Creates the monitor context for TSMonitorDrawCtx
5023 
5024    Collective on TS
5025 
5026    Input Parameter:
5027 .    ts - time-step context
5028 
5029    Output Patameter:
5030 .    ctx - the monitor context
5031 
5032    Options Database:
5033 .   -ts_monitor_draw_solution_initial - show initial solution as well as current solution
5034 
5035    Level: intermediate
5036 
5037 .keywords: TS,  vector, monitor, view
5038 
5039 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorDrawCtx()
5040 @*/
5041 PetscErrorCode  TSMonitorDrawCtxCreate(MPI_Comm comm,const char host[],const char label[],int x,int y,int m,int n,PetscInt howoften,TSMonitorDrawCtx *ctx)
5042 {
5043   PetscErrorCode   ierr;
5044 
5045   PetscFunctionBegin;
5046   ierr = PetscNew(ctx);CHKERRQ(ierr);
5047   ierr = PetscViewerDrawOpen(comm,host,label,x,y,m,n,&(*ctx)->viewer);CHKERRQ(ierr);
5048   ierr = PetscViewerSetFromOptions((*ctx)->viewer);CHKERRQ(ierr);
5049 
5050   (*ctx)->howoften    = howoften;
5051   (*ctx)->showinitial = PETSC_FALSE;
5052   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_initial",&(*ctx)->showinitial,NULL);CHKERRQ(ierr);
5053 
5054   (*ctx)->showtimestepandtime = PETSC_FALSE;
5055   ierr = PetscOptionsGetBool(NULL,NULL,"-ts_monitor_draw_solution_show_time",&(*ctx)->showtimestepandtime,NULL);CHKERRQ(ierr);
5056   PetscFunctionReturn(0);
5057 }
5058 
5059 #undef __FUNCT__
5060 #define __FUNCT__ "TSMonitorDrawError"
5061 /*@C
5062    TSMonitorDrawError - Monitors progress of the TS solvers by calling
5063    VecView() for the error at each timestep
5064 
5065    Collective on TS
5066 
5067    Input Parameters:
5068 +  ts - the TS context
5069 .  step - current time-step
5070 .  ptime - current time
5071 -  dummy - either a viewer or NULL
5072 
5073    Level: intermediate
5074 
5075 .keywords: TS,  vector, monitor, view
5076 
5077 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5078 @*/
5079 PetscErrorCode  TSMonitorDrawError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
5080 {
5081   PetscErrorCode   ierr;
5082   TSMonitorDrawCtx ctx    = (TSMonitorDrawCtx)dummy;
5083   PetscViewer      viewer = ctx->viewer;
5084   Vec              work;
5085 
5086   PetscFunctionBegin;
5087   if (!(((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason))) PetscFunctionReturn(0);
5088   ierr = VecDuplicate(u,&work);CHKERRQ(ierr);
5089   ierr = TSComputeSolutionFunction(ts,ptime,work);CHKERRQ(ierr);
5090   ierr = VecAXPY(work,-1.0,u);CHKERRQ(ierr);
5091   ierr = VecView(work,viewer);CHKERRQ(ierr);
5092   ierr = VecDestroy(&work);CHKERRQ(ierr);
5093   PetscFunctionReturn(0);
5094 }
5095 
5096 #include <petsc/private/dmimpl.h>
5097 #undef __FUNCT__
5098 #define __FUNCT__ "TSSetDM"
5099 /*@
5100    TSSetDM - Sets the DM that may be used by some nonlinear solvers or preconditioners under the TS
5101 
5102    Logically Collective on TS and DM
5103 
5104    Input Parameters:
5105 +  ts - the ODE integrator object
5106 -  dm - the dm, cannot be NULL
5107 
5108    Level: intermediate
5109 
5110 
5111 .seealso: TSGetDM(), SNESSetDM(), SNESGetDM()
5112 @*/
5113 PetscErrorCode  TSSetDM(TS ts,DM dm)
5114 {
5115   PetscErrorCode ierr;
5116   SNES           snes;
5117   DMTS           tsdm;
5118 
5119   PetscFunctionBegin;
5120   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5121   PetscValidHeaderSpecific(dm,DM_CLASSID,2);
5122   ierr = PetscObjectReference((PetscObject)dm);CHKERRQ(ierr);
5123   if (ts->dm) {               /* Move the DMTS context over to the new DM unless the new DM already has one */
5124     if (ts->dm->dmts && !dm->dmts) {
5125       ierr = DMCopyDMTS(ts->dm,dm);CHKERRQ(ierr);
5126       ierr = DMGetDMTS(ts->dm,&tsdm);CHKERRQ(ierr);
5127       if (tsdm->originaldm == ts->dm) { /* Grant write privileges to the replacement DM */
5128         tsdm->originaldm = dm;
5129       }
5130     }
5131     ierr = DMDestroy(&ts->dm);CHKERRQ(ierr);
5132   }
5133   ts->dm = dm;
5134 
5135   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
5136   ierr = SNESSetDM(snes,dm);CHKERRQ(ierr);
5137   PetscFunctionReturn(0);
5138 }
5139 
5140 #undef __FUNCT__
5141 #define __FUNCT__ "TSGetDM"
5142 /*@
5143    TSGetDM - Gets the DM that may be used by some preconditioners
5144 
5145    Not Collective
5146 
5147    Input Parameter:
5148 . ts - the preconditioner context
5149 
5150    Output Parameter:
5151 .  dm - the dm
5152 
5153    Level: intermediate
5154 
5155 
5156 .seealso: TSSetDM(), SNESSetDM(), SNESGetDM()
5157 @*/
5158 PetscErrorCode  TSGetDM(TS ts,DM *dm)
5159 {
5160   PetscErrorCode ierr;
5161 
5162   PetscFunctionBegin;
5163   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5164   if (!ts->dm) {
5165     ierr = DMShellCreate(PetscObjectComm((PetscObject)ts),&ts->dm);CHKERRQ(ierr);
5166     if (ts->snes) {ierr = SNESSetDM(ts->snes,ts->dm);CHKERRQ(ierr);}
5167   }
5168   *dm = ts->dm;
5169   PetscFunctionReturn(0);
5170 }
5171 
5172 #undef __FUNCT__
5173 #define __FUNCT__ "SNESTSFormFunction"
5174 /*@
5175    SNESTSFormFunction - Function to evaluate nonlinear residual
5176 
5177    Logically Collective on SNES
5178 
5179    Input Parameter:
5180 + snes - nonlinear solver
5181 . U - the current state at which to evaluate the residual
5182 - ctx - user context, must be a TS
5183 
5184    Output Parameter:
5185 . F - the nonlinear residual
5186 
5187    Notes:
5188    This function is not normally called by users and is automatically registered with the SNES used by TS.
5189    It is most frequently passed to MatFDColoringSetFunction().
5190 
5191    Level: advanced
5192 
5193 .seealso: SNESSetFunction(), MatFDColoringSetFunction()
5194 @*/
5195 PetscErrorCode  SNESTSFormFunction(SNES snes,Vec U,Vec F,void *ctx)
5196 {
5197   TS             ts = (TS)ctx;
5198   PetscErrorCode ierr;
5199 
5200   PetscFunctionBegin;
5201   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5202   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5203   PetscValidHeaderSpecific(F,VEC_CLASSID,3);
5204   PetscValidHeaderSpecific(ts,TS_CLASSID,4);
5205   ierr = (ts->ops->snesfunction)(snes,U,F,ts);CHKERRQ(ierr);
5206   PetscFunctionReturn(0);
5207 }
5208 
5209 #undef __FUNCT__
5210 #define __FUNCT__ "SNESTSFormJacobian"
5211 /*@
5212    SNESTSFormJacobian - Function to evaluate the Jacobian
5213 
5214    Collective on SNES
5215 
5216    Input Parameter:
5217 + snes - nonlinear solver
5218 . U - the current state at which to evaluate the residual
5219 - ctx - user context, must be a TS
5220 
5221    Output Parameter:
5222 + A - the Jacobian
5223 . B - the preconditioning matrix (may be the same as A)
5224 - flag - indicates any structure change in the matrix
5225 
5226    Notes:
5227    This function is not normally called by users and is automatically registered with the SNES used by TS.
5228 
5229    Level: developer
5230 
5231 .seealso: SNESSetJacobian()
5232 @*/
5233 PetscErrorCode  SNESTSFormJacobian(SNES snes,Vec U,Mat A,Mat B,void *ctx)
5234 {
5235   TS             ts = (TS)ctx;
5236   PetscErrorCode ierr;
5237 
5238   PetscFunctionBegin;
5239   PetscValidHeaderSpecific(snes,SNES_CLASSID,1);
5240   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
5241   PetscValidPointer(A,3);
5242   PetscValidHeaderSpecific(A,MAT_CLASSID,3);
5243   PetscValidPointer(B,4);
5244   PetscValidHeaderSpecific(B,MAT_CLASSID,4);
5245   PetscValidHeaderSpecific(ts,TS_CLASSID,6);
5246   ierr = (ts->ops->snesjacobian)(snes,U,A,B,ts);CHKERRQ(ierr);
5247   PetscFunctionReturn(0);
5248 }
5249 
5250 #undef __FUNCT__
5251 #define __FUNCT__ "TSComputeRHSFunctionLinear"
5252 /*@C
5253    TSComputeRHSFunctionLinear - Evaluate the right hand side via the user-provided Jacobian, for linear problems Udot = A U only
5254 
5255    Collective on TS
5256 
5257    Input Arguments:
5258 +  ts - time stepping context
5259 .  t - time at which to evaluate
5260 .  U - state at which to evaluate
5261 -  ctx - context
5262 
5263    Output Arguments:
5264 .  F - right hand side
5265 
5266    Level: intermediate
5267 
5268    Notes:
5269    This function is intended to be passed to TSSetRHSFunction() to evaluate the right hand side for linear problems.
5270    The matrix (and optionally the evaluation context) should be passed to TSSetRHSJacobian().
5271 
5272 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSJacobianConstant()
5273 @*/
5274 PetscErrorCode TSComputeRHSFunctionLinear(TS ts,PetscReal t,Vec U,Vec F,void *ctx)
5275 {
5276   PetscErrorCode ierr;
5277   Mat            Arhs,Brhs;
5278 
5279   PetscFunctionBegin;
5280   ierr = TSGetRHSMats_Private(ts,&Arhs,&Brhs);CHKERRQ(ierr);
5281   ierr = TSComputeRHSJacobian(ts,t,U,Arhs,Brhs);CHKERRQ(ierr);
5282   ierr = MatMult(Arhs,U,F);CHKERRQ(ierr);
5283   PetscFunctionReturn(0);
5284 }
5285 
5286 #undef __FUNCT__
5287 #define __FUNCT__ "TSComputeRHSJacobianConstant"
5288 /*@C
5289    TSComputeRHSJacobianConstant - Reuses a Jacobian that is time-independent.
5290 
5291    Collective on TS
5292 
5293    Input Arguments:
5294 +  ts - time stepping context
5295 .  t - time at which to evaluate
5296 .  U - state at which to evaluate
5297 -  ctx - context
5298 
5299    Output Arguments:
5300 +  A - pointer to operator
5301 .  B - pointer to preconditioning matrix
5302 -  flg - matrix structure flag
5303 
5304    Level: intermediate
5305 
5306    Notes:
5307    This function is intended to be passed to TSSetRHSJacobian() to evaluate the Jacobian for linear time-independent problems.
5308 
5309 .seealso: TSSetRHSFunction(), TSSetRHSJacobian(), TSComputeRHSFunctionLinear()
5310 @*/
5311 PetscErrorCode TSComputeRHSJacobianConstant(TS ts,PetscReal t,Vec U,Mat A,Mat B,void *ctx)
5312 {
5313   PetscFunctionBegin;
5314   PetscFunctionReturn(0);
5315 }
5316 
5317 #undef __FUNCT__
5318 #define __FUNCT__ "TSComputeIFunctionLinear"
5319 /*@C
5320    TSComputeIFunctionLinear - Evaluate the left hand side via the user-provided Jacobian, for linear problems only
5321 
5322    Collective on TS
5323 
5324    Input Arguments:
5325 +  ts - time stepping context
5326 .  t - time at which to evaluate
5327 .  U - state at which to evaluate
5328 .  Udot - time derivative of state vector
5329 -  ctx - context
5330 
5331    Output Arguments:
5332 .  F - left hand side
5333 
5334    Level: intermediate
5335 
5336    Notes:
5337    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
5338    user is required to write their own TSComputeIFunction.
5339    This function is intended to be passed to TSSetIFunction() to evaluate the left hand side for linear problems.
5340    The matrix (and optionally the evaluation context) should be passed to TSSetIJacobian().
5341 
5342    Note that using this function is NOT equivalent to using TSComputeRHSFunctionLinear() since that solves Udot = A U
5343 
5344 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIJacobianConstant(), TSComputeRHSFunctionLinear()
5345 @*/
5346 PetscErrorCode TSComputeIFunctionLinear(TS ts,PetscReal t,Vec U,Vec Udot,Vec F,void *ctx)
5347 {
5348   PetscErrorCode ierr;
5349   Mat            A,B;
5350 
5351   PetscFunctionBegin;
5352   ierr = TSGetIJacobian(ts,&A,&B,NULL,NULL);CHKERRQ(ierr);
5353   ierr = TSComputeIJacobian(ts,t,U,Udot,1.0,A,B,PETSC_TRUE);CHKERRQ(ierr);
5354   ierr = MatMult(A,Udot,F);CHKERRQ(ierr);
5355   PetscFunctionReturn(0);
5356 }
5357 
5358 #undef __FUNCT__
5359 #define __FUNCT__ "TSComputeIJacobianConstant"
5360 /*@C
5361    TSComputeIJacobianConstant - Reuses a time-independent for a semi-implicit DAE or ODE
5362 
5363    Collective on TS
5364 
5365    Input Arguments:
5366 +  ts - time stepping context
5367 .  t - time at which to evaluate
5368 .  U - state at which to evaluate
5369 .  Udot - time derivative of state vector
5370 .  shift - shift to apply
5371 -  ctx - context
5372 
5373    Output Arguments:
5374 +  A - pointer to operator
5375 .  B - pointer to preconditioning matrix
5376 -  flg - matrix structure flag
5377 
5378    Level: advanced
5379 
5380    Notes:
5381    This function is intended to be passed to TSSetIJacobian() to evaluate the Jacobian for linear time-independent problems.
5382 
5383    It is only appropriate for problems of the form
5384 
5385 $     M Udot = F(U,t)
5386 
5387   where M is constant and F is non-stiff.  The user must pass M to TSSetIJacobian().  The current implementation only
5388   works with IMEX time integration methods such as TSROSW and TSARKIMEX, since there is no support for de-constructing
5389   an implicit operator of the form
5390 
5391 $    shift*M + J
5392 
5393   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
5394   a copy of M or reassemble it when requested.
5395 
5396 .seealso: TSSetIFunction(), TSSetIJacobian(), TSComputeIFunctionLinear()
5397 @*/
5398 PetscErrorCode TSComputeIJacobianConstant(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat A,Mat B,void *ctx)
5399 {
5400   PetscErrorCode ierr;
5401 
5402   PetscFunctionBegin;
5403   ierr = MatScale(A, shift / ts->ijacobian.shift);CHKERRQ(ierr);
5404   ts->ijacobian.shift = shift;
5405   PetscFunctionReturn(0);
5406 }
5407 
5408 #undef __FUNCT__
5409 #define __FUNCT__ "TSGetEquationType"
5410 /*@
5411    TSGetEquationType - Gets the type of the equation that TS is solving.
5412 
5413    Not Collective
5414 
5415    Input Parameter:
5416 .  ts - the TS context
5417 
5418    Output Parameter:
5419 .  equation_type - see TSEquationType
5420 
5421    Level: beginner
5422 
5423 .keywords: TS, equation type
5424 
5425 .seealso: TSSetEquationType(), TSEquationType
5426 @*/
5427 PetscErrorCode  TSGetEquationType(TS ts,TSEquationType *equation_type)
5428 {
5429   PetscFunctionBegin;
5430   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5431   PetscValidPointer(equation_type,2);
5432   *equation_type = ts->equation_type;
5433   PetscFunctionReturn(0);
5434 }
5435 
5436 #undef __FUNCT__
5437 #define __FUNCT__ "TSSetEquationType"
5438 /*@
5439    TSSetEquationType - Sets the type of the equation that TS is solving.
5440 
5441    Not Collective
5442 
5443    Input Parameter:
5444 +  ts - the TS context
5445 -  equation_type - see TSEquationType
5446 
5447    Level: advanced
5448 
5449 .keywords: TS, equation type
5450 
5451 .seealso: TSGetEquationType(), TSEquationType
5452 @*/
5453 PetscErrorCode  TSSetEquationType(TS ts,TSEquationType equation_type)
5454 {
5455   PetscFunctionBegin;
5456   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5457   ts->equation_type = equation_type;
5458   PetscFunctionReturn(0);
5459 }
5460 
5461 #undef __FUNCT__
5462 #define __FUNCT__ "TSGetConvergedReason"
5463 /*@
5464    TSGetConvergedReason - Gets the reason the TS iteration was stopped.
5465 
5466    Not Collective
5467 
5468    Input Parameter:
5469 .  ts - the TS context
5470 
5471    Output Parameter:
5472 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5473             manual pages for the individual convergence tests for complete lists
5474 
5475    Level: beginner
5476 
5477    Notes:
5478    Can only be called after the call to TSSolve() is complete.
5479 
5480 .keywords: TS, nonlinear, set, convergence, test
5481 
5482 .seealso: TSSetConvergenceTest(), TSConvergedReason
5483 @*/
5484 PetscErrorCode  TSGetConvergedReason(TS ts,TSConvergedReason *reason)
5485 {
5486   PetscFunctionBegin;
5487   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5488   PetscValidPointer(reason,2);
5489   *reason = ts->reason;
5490   PetscFunctionReturn(0);
5491 }
5492 
5493 #undef __FUNCT__
5494 #define __FUNCT__ "TSSetConvergedReason"
5495 /*@
5496    TSSetConvergedReason - Sets the reason for handling the convergence of TSSolve.
5497 
5498    Not Collective
5499 
5500    Input Parameter:
5501 +  ts - the TS context
5502 .  reason - negative value indicates diverged, positive value converged, see TSConvergedReason or the
5503             manual pages for the individual convergence tests for complete lists
5504 
5505    Level: advanced
5506 
5507    Notes:
5508    Can only be called during TSSolve() is active.
5509 
5510 .keywords: TS, nonlinear, set, convergence, test
5511 
5512 .seealso: TSConvergedReason
5513 @*/
5514 PetscErrorCode  TSSetConvergedReason(TS ts,TSConvergedReason reason)
5515 {
5516   PetscFunctionBegin;
5517   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5518   ts->reason = reason;
5519   PetscFunctionReturn(0);
5520 }
5521 
5522 #undef __FUNCT__
5523 #define __FUNCT__ "TSGetSolveTime"
5524 /*@
5525    TSGetSolveTime - Gets the time after a call to TSSolve()
5526 
5527    Not Collective
5528 
5529    Input Parameter:
5530 .  ts - the TS context
5531 
5532    Output Parameter:
5533 .  ftime - the final time. This time corresponds to the final time set with TSSetDuration()
5534 
5535    Level: beginner
5536 
5537    Notes:
5538    Can only be called after the call to TSSolve() is complete.
5539 
5540 .keywords: TS, nonlinear, set, convergence, test
5541 
5542 .seealso: TSSetConvergenceTest(), TSConvergedReason
5543 @*/
5544 PetscErrorCode  TSGetSolveTime(TS ts,PetscReal *ftime)
5545 {
5546   PetscFunctionBegin;
5547   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5548   PetscValidPointer(ftime,2);
5549   *ftime = ts->solvetime;
5550   PetscFunctionReturn(0);
5551 }
5552 
5553 #undef __FUNCT__
5554 #define __FUNCT__ "TSGetTotalSteps"
5555 /*@
5556    TSGetTotalSteps - Gets the total number of steps done since the last call to TSSetUp() or TSCreate()
5557 
5558    Not Collective
5559 
5560    Input Parameter:
5561 .  ts - the TS context
5562 
5563    Output Parameter:
5564 .  steps - the number of steps
5565 
5566    Level: beginner
5567 
5568    Notes:
5569    Includes the number of steps for all calls to TSSolve() since TSSetUp() was called
5570 
5571 .keywords: TS, nonlinear, set, convergence, test
5572 
5573 .seealso: TSSetConvergenceTest(), TSConvergedReason
5574 @*/
5575 PetscErrorCode  TSGetTotalSteps(TS ts,PetscInt *steps)
5576 {
5577   PetscFunctionBegin;
5578   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5579   PetscValidPointer(steps,2);
5580   *steps = ts->total_steps;
5581   PetscFunctionReturn(0);
5582 }
5583 
5584 #undef __FUNCT__
5585 #define __FUNCT__ "TSGetSNESIterations"
5586 /*@
5587    TSGetSNESIterations - Gets the total number of nonlinear iterations
5588    used by the time integrator.
5589 
5590    Not Collective
5591 
5592    Input Parameter:
5593 .  ts - TS context
5594 
5595    Output Parameter:
5596 .  nits - number of nonlinear iterations
5597 
5598    Notes:
5599    This counter is reset to zero for each successive call to TSSolve().
5600 
5601    Level: intermediate
5602 
5603 .keywords: TS, get, number, nonlinear, iterations
5604 
5605 .seealso:  TSGetKSPIterations()
5606 @*/
5607 PetscErrorCode TSGetSNESIterations(TS ts,PetscInt *nits)
5608 {
5609   PetscFunctionBegin;
5610   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5611   PetscValidIntPointer(nits,2);
5612   *nits = ts->snes_its;
5613   PetscFunctionReturn(0);
5614 }
5615 
5616 #undef __FUNCT__
5617 #define __FUNCT__ "TSGetKSPIterations"
5618 /*@
5619    TSGetKSPIterations - Gets the total number of linear iterations
5620    used by the time integrator.
5621 
5622    Not Collective
5623 
5624    Input Parameter:
5625 .  ts - TS context
5626 
5627    Output Parameter:
5628 .  lits - number of linear iterations
5629 
5630    Notes:
5631    This counter is reset to zero for each successive call to TSSolve().
5632 
5633    Level: intermediate
5634 
5635 .keywords: TS, get, number, linear, iterations
5636 
5637 .seealso:  TSGetSNESIterations(), SNESGetKSPIterations()
5638 @*/
5639 PetscErrorCode TSGetKSPIterations(TS ts,PetscInt *lits)
5640 {
5641   PetscFunctionBegin;
5642   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5643   PetscValidIntPointer(lits,2);
5644   *lits = ts->ksp_its;
5645   PetscFunctionReturn(0);
5646 }
5647 
5648 #undef __FUNCT__
5649 #define __FUNCT__ "TSGetStepRejections"
5650 /*@
5651    TSGetStepRejections - Gets the total number of rejected steps.
5652 
5653    Not Collective
5654 
5655    Input Parameter:
5656 .  ts - TS context
5657 
5658    Output Parameter:
5659 .  rejects - number of steps rejected
5660 
5661    Notes:
5662    This counter is reset to zero for each successive call to TSSolve().
5663 
5664    Level: intermediate
5665 
5666 .keywords: TS, get, number
5667 
5668 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetSNESFailures(), TSSetMaxSNESFailures(), TSSetErrorIfStepFails()
5669 @*/
5670 PetscErrorCode TSGetStepRejections(TS ts,PetscInt *rejects)
5671 {
5672   PetscFunctionBegin;
5673   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5674   PetscValidIntPointer(rejects,2);
5675   *rejects = ts->reject;
5676   PetscFunctionReturn(0);
5677 }
5678 
5679 #undef __FUNCT__
5680 #define __FUNCT__ "TSGetSNESFailures"
5681 /*@
5682    TSGetSNESFailures - Gets the total number of failed SNES solves
5683 
5684    Not Collective
5685 
5686    Input Parameter:
5687 .  ts - TS context
5688 
5689    Output Parameter:
5690 .  fails - number of failed nonlinear solves
5691 
5692    Notes:
5693    This counter is reset to zero for each successive call to TSSolve().
5694 
5695    Level: intermediate
5696 
5697 .keywords: TS, get, number
5698 
5699 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSSetMaxSNESFailures()
5700 @*/
5701 PetscErrorCode TSGetSNESFailures(TS ts,PetscInt *fails)
5702 {
5703   PetscFunctionBegin;
5704   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5705   PetscValidIntPointer(fails,2);
5706   *fails = ts->num_snes_failures;
5707   PetscFunctionReturn(0);
5708 }
5709 
5710 #undef __FUNCT__
5711 #define __FUNCT__ "TSSetMaxStepRejections"
5712 /*@
5713    TSSetMaxStepRejections - Sets the maximum number of step rejections before a step fails
5714 
5715    Not Collective
5716 
5717    Input Parameter:
5718 +  ts - TS context
5719 -  rejects - maximum number of rejected steps, pass -1 for unlimited
5720 
5721    Notes:
5722    The counter is reset to zero for each step
5723 
5724    Options Database Key:
5725  .  -ts_max_reject - Maximum number of step rejections before a step fails
5726 
5727    Level: intermediate
5728 
5729 .keywords: TS, set, maximum, number
5730 
5731 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxSNESFailures(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5732 @*/
5733 PetscErrorCode TSSetMaxStepRejections(TS ts,PetscInt rejects)
5734 {
5735   PetscFunctionBegin;
5736   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5737   ts->max_reject = rejects;
5738   PetscFunctionReturn(0);
5739 }
5740 
5741 #undef __FUNCT__
5742 #define __FUNCT__ "TSSetMaxSNESFailures"
5743 /*@
5744    TSSetMaxSNESFailures - Sets the maximum number of failed SNES solves
5745 
5746    Not Collective
5747 
5748    Input Parameter:
5749 +  ts - TS context
5750 -  fails - maximum number of failed nonlinear solves, pass -1 for unlimited
5751 
5752    Notes:
5753    The counter is reset to zero for each successive call to TSSolve().
5754 
5755    Options Database Key:
5756  .  -ts_max_snes_failures - Maximum number of nonlinear solve failures
5757 
5758    Level: intermediate
5759 
5760 .keywords: TS, set, maximum, number
5761 
5762 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), SNESGetConvergedReason(), TSGetConvergedReason()
5763 @*/
5764 PetscErrorCode TSSetMaxSNESFailures(TS ts,PetscInt fails)
5765 {
5766   PetscFunctionBegin;
5767   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5768   ts->max_snes_failures = fails;
5769   PetscFunctionReturn(0);
5770 }
5771 
5772 #undef __FUNCT__
5773 #define __FUNCT__ "TSSetErrorIfStepFails"
5774 /*@
5775    TSSetErrorIfStepFails - Error if no step succeeds
5776 
5777    Not Collective
5778 
5779    Input Parameter:
5780 +  ts - TS context
5781 -  err - PETSC_TRUE to error if no step succeeds, PETSC_FALSE to return without failure
5782 
5783    Options Database Key:
5784  .  -ts_error_if_step_fails - Error if no step succeeds
5785 
5786    Level: intermediate
5787 
5788 .keywords: TS, set, error
5789 
5790 .seealso:  TSGetSNESIterations(), TSGetKSPIterations(), TSSetMaxStepRejections(), TSGetStepRejections(), TSGetSNESFailures(), TSSetErrorIfStepFails(), TSGetConvergedReason()
5791 @*/
5792 PetscErrorCode TSSetErrorIfStepFails(TS ts,PetscBool err)
5793 {
5794   PetscFunctionBegin;
5795   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5796   ts->errorifstepfailed = err;
5797   PetscFunctionReturn(0);
5798 }
5799 
5800 #undef __FUNCT__
5801 #define __FUNCT__ "TSMonitorSolution"
5802 /*@C
5803    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
5804 
5805    Collective on TS
5806 
5807    Input Parameters:
5808 +  ts - the TS context
5809 .  step - current time-step
5810 .  ptime - current time
5811 .  u - current state
5812 -  vf - viewer and its format
5813 
5814    Level: intermediate
5815 
5816 .keywords: TS,  vector, monitor, view
5817 
5818 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5819 @*/
5820 PetscErrorCode  TSMonitorSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,PetscViewerAndFormat *vf)
5821 {
5822   PetscErrorCode ierr;
5823 
5824   PetscFunctionBegin;
5825   ierr = PetscViewerPushFormat(vf->viewer,vf->format);CHKERRQ(ierr);
5826   ierr = VecView(u,vf->viewer);CHKERRQ(ierr);
5827   ierr = PetscViewerPopFormat(vf->viewer);CHKERRQ(ierr);
5828   PetscFunctionReturn(0);
5829 }
5830 
5831 #undef __FUNCT__
5832 #define __FUNCT__ "TSMonitorSolutionVTK"
5833 /*@C
5834    TSMonitorSolutionVTK - Monitors progress of the TS solvers by VecView() for the solution at each timestep.
5835 
5836    Collective on TS
5837 
5838    Input Parameters:
5839 +  ts - the TS context
5840 .  step - current time-step
5841 .  ptime - current time
5842 .  u - current state
5843 -  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5844 
5845    Level: intermediate
5846 
5847    Notes:
5848    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.
5849    These are named according to the file name template.
5850 
5851    This function is normally passed as an argument to TSMonitorSet() along with TSMonitorSolutionVTKDestroy().
5852 
5853 .keywords: TS,  vector, monitor, view
5854 
5855 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView()
5856 @*/
5857 PetscErrorCode TSMonitorSolutionVTK(TS ts,PetscInt step,PetscReal ptime,Vec u,void *filenametemplate)
5858 {
5859   PetscErrorCode ierr;
5860   char           filename[PETSC_MAX_PATH_LEN];
5861   PetscViewer    viewer;
5862 
5863   PetscFunctionBegin;
5864   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
5865   ierr = PetscSNPrintf(filename,sizeof(filename),(const char*)filenametemplate,step);CHKERRQ(ierr);
5866   ierr = PetscViewerVTKOpen(PetscObjectComm((PetscObject)ts),filename,FILE_MODE_WRITE,&viewer);CHKERRQ(ierr);
5867   ierr = VecView(u,viewer);CHKERRQ(ierr);
5868   ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr);
5869   PetscFunctionReturn(0);
5870 }
5871 
5872 #undef __FUNCT__
5873 #define __FUNCT__ "TSMonitorSolutionVTKDestroy"
5874 /*@C
5875    TSMonitorSolutionVTKDestroy - Destroy context for monitoring
5876 
5877    Collective on TS
5878 
5879    Input Parameters:
5880 .  filenametemplate - string containing a format specifier for the integer time step (e.g. %03D)
5881 
5882    Level: intermediate
5883 
5884    Note:
5885    This function is normally passed to TSMonitorSet() along with TSMonitorSolutionVTK().
5886 
5887 .keywords: TS,  vector, monitor, view
5888 
5889 .seealso: TSMonitorSet(), TSMonitorSolutionVTK()
5890 @*/
5891 PetscErrorCode TSMonitorSolutionVTKDestroy(void *filenametemplate)
5892 {
5893   PetscErrorCode ierr;
5894 
5895   PetscFunctionBegin;
5896   ierr = PetscFree(*(char**)filenametemplate);CHKERRQ(ierr);
5897   PetscFunctionReturn(0);
5898 }
5899 
5900 #undef __FUNCT__
5901 #define __FUNCT__ "TSGetAdapt"
5902 /*@
5903    TSGetAdapt - Get the adaptive controller context for the current method
5904 
5905    Collective on TS if controller has not been created yet
5906 
5907    Input Arguments:
5908 .  ts - time stepping context
5909 
5910    Output Arguments:
5911 .  adapt - adaptive controller
5912 
5913    Level: intermediate
5914 
5915 .seealso: TSAdapt, TSAdaptSetType(), TSAdaptChoose()
5916 @*/
5917 PetscErrorCode TSGetAdapt(TS ts,TSAdapt *adapt)
5918 {
5919   PetscErrorCode ierr;
5920 
5921   PetscFunctionBegin;
5922   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
5923   PetscValidPointer(adapt,2);
5924   if (!ts->adapt) {
5925     ierr = TSAdaptCreate(PetscObjectComm((PetscObject)ts),&ts->adapt);CHKERRQ(ierr);
5926     ierr = PetscLogObjectParent((PetscObject)ts,(PetscObject)ts->adapt);CHKERRQ(ierr);
5927     ierr = PetscObjectIncrementTabLevel((PetscObject)ts->adapt,(PetscObject)ts,1);CHKERRQ(ierr);
5928   }
5929   *adapt = ts->adapt;
5930   PetscFunctionReturn(0);
5931 }
5932 
5933 #undef __FUNCT__
5934 #define __FUNCT__ "TSSetTolerances"
5935 /*@
5936    TSSetTolerances - Set tolerances for local truncation error when using adaptive controller
5937 
5938    Logically Collective
5939 
5940    Input Arguments:
5941 +  ts - time integration context
5942 .  atol - scalar absolute tolerances, PETSC_DECIDE to leave current value
5943 .  vatol - vector of absolute tolerances or NULL, used in preference to atol if present
5944 .  rtol - scalar relative tolerances, PETSC_DECIDE to leave current value
5945 -  vrtol - vector of relative tolerances or NULL, used in preference to atol if present
5946 
5947    Options Database keys:
5948 +  -ts_rtol <rtol> - relative tolerance for local truncation error
5949 -  -ts_atol <atol> Absolute tolerance for local truncation error
5950 
5951    Notes:
5952    With PETSc's implicit schemes for DAE problems, the calculation of the local truncation error
5953    (LTE) includes both the differential and the algebraic variables. If one wants the LTE to be
5954    computed only for the differential or the algebraic part then this can be done using the vector of
5955    tolerances vatol. For example, by setting the tolerance vector with the desired tolerance for the
5956    differential part and infinity for the algebraic part, the LTE calculation will include only the
5957    differential variables.
5958 
5959    Level: beginner
5960 
5961 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSGetTolerances()
5962 @*/
5963 PetscErrorCode TSSetTolerances(TS ts,PetscReal atol,Vec vatol,PetscReal rtol,Vec vrtol)
5964 {
5965   PetscErrorCode ierr;
5966 
5967   PetscFunctionBegin;
5968   if (atol != PETSC_DECIDE && atol != PETSC_DEFAULT) ts->atol = atol;
5969   if (vatol) {
5970     ierr = PetscObjectReference((PetscObject)vatol);CHKERRQ(ierr);
5971     ierr = VecDestroy(&ts->vatol);CHKERRQ(ierr);
5972     ts->vatol = vatol;
5973   }
5974   if (rtol != PETSC_DECIDE && rtol != PETSC_DEFAULT) ts->rtol = rtol;
5975   if (vrtol) {
5976     ierr = PetscObjectReference((PetscObject)vrtol);CHKERRQ(ierr);
5977     ierr = VecDestroy(&ts->vrtol);CHKERRQ(ierr);
5978     ts->vrtol = vrtol;
5979   }
5980   PetscFunctionReturn(0);
5981 }
5982 
5983 #undef __FUNCT__
5984 #define __FUNCT__ "TSGetTolerances"
5985 /*@
5986    TSGetTolerances - Get tolerances for local truncation error when using adaptive controller
5987 
5988    Logically Collective
5989 
5990    Input Arguments:
5991 .  ts - time integration context
5992 
5993    Output Arguments:
5994 +  atol - scalar absolute tolerances, NULL to ignore
5995 .  vatol - vector of absolute tolerances, NULL to ignore
5996 .  rtol - scalar relative tolerances, NULL to ignore
5997 -  vrtol - vector of relative tolerances, NULL to ignore
5998 
5999    Level: beginner
6000 
6001 .seealso: TS, TSAdapt, TSVecNormWRMS(), TSSetTolerances()
6002 @*/
6003 PetscErrorCode TSGetTolerances(TS ts,PetscReal *atol,Vec *vatol,PetscReal *rtol,Vec *vrtol)
6004 {
6005   PetscFunctionBegin;
6006   if (atol)  *atol  = ts->atol;
6007   if (vatol) *vatol = ts->vatol;
6008   if (rtol)  *rtol  = ts->rtol;
6009   if (vrtol) *vrtol = ts->vrtol;
6010   PetscFunctionReturn(0);
6011 }
6012 
6013 #undef __FUNCT__
6014 #define __FUNCT__ "TSErrorWeightedNorm2"
6015 /*@
6016    TSErrorWeightedNorm2 - compute a weighted 2-norm of the difference between two state vectors
6017 
6018    Collective on TS
6019 
6020    Input Arguments:
6021 +  ts - time stepping context
6022 .  U - state vector, usually ts->vec_sol
6023 -  Y - state vector to be compared to U
6024 
6025    Output Arguments:
6026 .  norm - weighted norm, a value of 1.0 means that the error matches the tolerances
6027 .  norma - weighted norm based on the absolute tolerance, a value of 1.0 means that the error matches the tolerances
6028 .  normr - weighted norm based on the relative tolerance, a value of 1.0 means that the error matches the tolerances
6029 
6030    Level: developer
6031 
6032 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNormInfinity()
6033 @*/
6034 PetscErrorCode TSErrorWeightedNorm2(TS ts,Vec U,Vec Y,PetscReal *norm,PetscReal *norma,PetscReal *normr)
6035 {
6036   PetscErrorCode    ierr;
6037   PetscInt          i,n,N,rstart;
6038   PetscInt          n_loc,na_loc,nr_loc;
6039   PetscReal         n_glb,na_glb,nr_glb;
6040   const PetscScalar *u,*y;
6041   PetscReal         sum,suma,sumr,gsum,gsuma,gsumr,diff;
6042   PetscReal         tol,tola,tolr;
6043   PetscReal         err_loc[6],err_glb[6];
6044 
6045   PetscFunctionBegin;
6046   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6047   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
6048   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
6049   PetscValidType(U,2);
6050   PetscValidType(Y,3);
6051   PetscCheckSameComm(U,2,Y,3);
6052   PetscValidPointer(norm,4);
6053   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
6054 
6055   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
6056   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
6057   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
6058   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
6059   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
6060   sum  = 0.; n_loc  = 0;
6061   suma = 0.; na_loc = 0;
6062   sumr = 0.; nr_loc = 0;
6063   if (ts->vatol && ts->vrtol) {
6064     const PetscScalar *atol,*rtol;
6065     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6066     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6067     for (i=0; i<n; i++) {
6068       diff = PetscAbsScalar(y[i] - u[i]);
6069       tola = PetscRealPart(atol[i]);
6070       if(tola>0.){
6071         suma  += PetscSqr(diff/tola);
6072         na_loc++;
6073       }
6074       tolr = PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6075       if(tolr>0.){
6076         sumr  += PetscSqr(diff/tolr);
6077         nr_loc++;
6078       }
6079       tol=tola+tolr;
6080       if(tol>0.){
6081         sum  += PetscSqr(diff/tol);
6082         n_loc++;
6083       }
6084     }
6085     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6086     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6087   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6088     const PetscScalar *atol;
6089     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6090     for (i=0; i<n; i++) {
6091       diff = PetscAbsScalar(y[i] - u[i]);
6092       tola = PetscRealPart(atol[i]);
6093       if(tola>0.){
6094         suma  += PetscSqr(diff/tola);
6095         na_loc++;
6096       }
6097       tolr = ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6098       if(tolr>0.){
6099         sumr  += PetscSqr(diff/tolr);
6100         nr_loc++;
6101       }
6102       tol=tola+tolr;
6103       if(tol>0.){
6104         sum  += PetscSqr(diff/tol);
6105         n_loc++;
6106       }
6107     }
6108     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6109   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6110     const PetscScalar *rtol;
6111     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6112     for (i=0; i<n; i++) {
6113       diff = PetscAbsScalar(y[i] - u[i]);
6114       tola = ts->atol;
6115       if(tola>0.){
6116         suma  += PetscSqr(diff/tola);
6117         na_loc++;
6118       }
6119       tolr = PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6120       if(tolr>0.){
6121         sumr  += PetscSqr(diff/tolr);
6122         nr_loc++;
6123       }
6124       tol=tola+tolr;
6125       if(tol>0.){
6126         sum  += PetscSqr(diff/tol);
6127         n_loc++;
6128       }
6129     }
6130     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6131   } else {                      /* scalar atol, scalar rtol */
6132     for (i=0; i<n; i++) {
6133       diff = PetscAbsScalar(y[i] - u[i]);
6134      tola = ts->atol;
6135       if(tola>0.){
6136         suma  += PetscSqr(diff/tola);
6137         na_loc++;
6138       }
6139       tolr = ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6140       if(tolr>0.){
6141         sumr  += PetscSqr(diff/tolr);
6142         nr_loc++;
6143       }
6144       tol=tola+tolr;
6145       if(tol>0.){
6146         sum  += PetscSqr(diff/tol);
6147         n_loc++;
6148       }
6149     }
6150   }
6151   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6152   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6153 
6154   err_loc[0] = sum;
6155   err_loc[1] = suma;
6156   err_loc[2] = sumr;
6157   err_loc[3] = (PetscReal)n_loc;
6158   err_loc[4] = (PetscReal)na_loc;
6159   err_loc[5] = (PetscReal)nr_loc;
6160 
6161   ierr = MPIU_Allreduce(&err_loc,&err_glb,6,MPIU_REAL,MPIU_SUM,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6162 
6163   gsum   = err_glb[0];
6164   gsuma  = err_glb[1];
6165   gsumr  = err_glb[2];
6166   n_glb  = err_glb[3];
6167   na_glb = err_glb[4];
6168   nr_glb = err_glb[5];
6169 
6170   *norm  = PetscSqrtReal(gsum  / n_glb );
6171   *norma = PetscSqrtReal(gsuma / na_glb);
6172   *normr = PetscSqrtReal(gsumr / nr_glb);
6173 
6174   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6175   if (PetscIsInfOrNanScalar(*norma)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norma");
6176   if (PetscIsInfOrNanScalar(*normr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in normr");
6177   PetscFunctionReturn(0);
6178 }
6179 
6180 #undef __FUNCT__
6181 #define __FUNCT__ "TSErrorWeightedNormInfinity"
6182 /*@
6183    TSErrorWeightedNormInfinity - compute a weighted infinity-norm of the difference between two state vectors
6184 
6185    Collective on TS
6186 
6187    Input Arguments:
6188 +  ts - time stepping context
6189 .  U - state vector, usually ts->vec_sol
6190 -  Y - state vector to be compared to U
6191 
6192    Output Arguments:
6193 .  norm - weighted norm, a value of 1.0 means that the error matches the tolerances
6194 .  norma - weighted norm based on the absolute tolerance, a value of 1.0 means that the error matches the tolerances
6195 .  normr - weighted norm based on the relative tolerance, a value of 1.0 means that the error matches the tolerances
6196 
6197    Level: developer
6198 
6199 .seealso: TSErrorWeightedNorm(), TSErrorWeightedNorm2()
6200 @*/
6201 PetscErrorCode TSErrorWeightedNormInfinity(TS ts,Vec U,Vec Y,PetscReal *norm,PetscReal *norma,PetscReal *normr)
6202 {
6203   PetscErrorCode    ierr;
6204   PetscInt          i,n,N,rstart;
6205   const PetscScalar *u,*y;
6206   PetscReal         max,gmax,maxa,gmaxa,maxr,gmaxr;
6207   PetscReal         tol,tola,tolr,diff;
6208   PetscReal         err_loc[3],err_glb[3];
6209 
6210   PetscFunctionBegin;
6211   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6212   PetscValidHeaderSpecific(U,VEC_CLASSID,2);
6213   PetscValidHeaderSpecific(Y,VEC_CLASSID,3);
6214   PetscValidType(U,2);
6215   PetscValidType(Y,3);
6216   PetscCheckSameComm(U,2,Y,3);
6217   PetscValidPointer(norm,4);
6218   if (U == Y) SETERRQ(PetscObjectComm((PetscObject)U),PETSC_ERR_ARG_IDN,"U and Y cannot be the same vector");
6219 
6220   ierr = VecGetSize(U,&N);CHKERRQ(ierr);
6221   ierr = VecGetLocalSize(U,&n);CHKERRQ(ierr);
6222   ierr = VecGetOwnershipRange(U,&rstart,NULL);CHKERRQ(ierr);
6223   ierr = VecGetArrayRead(U,&u);CHKERRQ(ierr);
6224   ierr = VecGetArrayRead(Y,&y);CHKERRQ(ierr);
6225 
6226   max=0.;
6227   maxa=0.;
6228   maxr=0.;
6229 
6230   if (ts->vatol && ts->vrtol) {     /* vector atol, vector rtol */
6231     const PetscScalar *atol,*rtol;
6232     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6233     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6234 
6235     for (i=0; i<n; i++) {
6236       diff = PetscAbsScalar(y[i] - u[i]);
6237       tola = PetscRealPart(atol[i]);
6238       tolr = PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6239       tol  = tola+tolr;
6240       if(tola>0.){
6241         maxa = PetscMax(maxa,diff / tola);
6242       }
6243       if(tolr>0.){
6244         maxr = PetscMax(maxr,diff / tolr);
6245       }
6246       if(tol>0.){
6247         max = PetscMax(max,diff / tol);
6248       }
6249     }
6250     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6251     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6252   } else if (ts->vatol) {       /* vector atol, scalar rtol */
6253     const PetscScalar *atol;
6254     ierr = VecGetArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6255     for (i=0; i<n; i++) {
6256       diff = PetscAbsScalar(y[i] - u[i]);
6257       tola = PetscRealPart(atol[i]);
6258       tolr = ts->rtol  * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6259       tol  = tola+tolr;
6260       if(tola>0.){
6261         maxa = PetscMax(maxa,diff / tola);
6262       }
6263       if(tolr>0.){
6264         maxr = PetscMax(maxr,diff / tolr);
6265       }
6266       if(tol>0.){
6267         max = PetscMax(max,diff / tol);
6268       }
6269     }
6270     ierr = VecRestoreArrayRead(ts->vatol,&atol);CHKERRQ(ierr);
6271   } else if (ts->vrtol) {       /* scalar atol, vector rtol */
6272     const PetscScalar *rtol;
6273     ierr = VecGetArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6274 
6275     for (i=0; i<n; i++) {
6276       diff = PetscAbsScalar(y[i] - u[i]);
6277       tola = ts->atol;
6278       tolr = PetscRealPart(rtol[i]) * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6279       tol  = tola+tolr;
6280       if(tola>0.){
6281         maxa = PetscMax(maxa,diff / tola);
6282       }
6283       if(tolr>0.){
6284         maxr = PetscMax(maxr,diff / tolr);
6285       }
6286       if(tol>0.){
6287         max = PetscMax(max,diff / tol);
6288       }
6289     }
6290     ierr = VecRestoreArrayRead(ts->vrtol,&rtol);CHKERRQ(ierr);
6291   } else {                      /* scalar atol, scalar rtol */
6292 
6293     for (i=0; i<n; i++) {
6294       diff = PetscAbsScalar(y[i] - u[i]);
6295       tola = ts->atol;
6296       tolr = ts->rtol * PetscMax(PetscAbsScalar(u[i]),PetscAbsScalar(y[i]));
6297       tol  = tola+tolr;
6298       if(tola>0.){
6299         maxa = PetscMax(maxa,diff / tola);
6300       }
6301       if(tolr>0.){
6302         maxr = PetscMax(maxr,diff / tolr);
6303       }
6304       if(tol>0.){
6305         max = PetscMax(max,diff / tol);
6306       }
6307     }
6308   }
6309   ierr = VecRestoreArrayRead(U,&u);CHKERRQ(ierr);
6310   ierr = VecRestoreArrayRead(Y,&y);CHKERRQ(ierr);
6311   err_loc[0] = max;
6312   err_loc[1] = maxa;
6313   err_loc[2] = maxr;
6314   ierr  = MPIU_Allreduce(&err_loc,&err_glb,3,MPIU_REAL,MPIU_MAX,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6315   gmax   = err_glb[0];
6316   gmaxa  = err_glb[1];
6317   gmaxr  = err_glb[2];
6318 
6319   *norm = gmax;
6320   *norma = gmaxa;
6321   *normr = gmaxr;
6322   if (PetscIsInfOrNanScalar(*norm)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norm");
6323     if (PetscIsInfOrNanScalar(*norma)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in norma");
6324     if (PetscIsInfOrNanScalar(*normr)) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_FP,"Infinite or not-a-number generated in normr");
6325   PetscFunctionReturn(0);
6326 }
6327 
6328 #undef __FUNCT__
6329 #define __FUNCT__ "TSErrorWeightedNorm"
6330 /*@
6331    TSErrorWeightedNorm - compute a weighted norm of the difference between two state vectors
6332 
6333    Collective on TS
6334 
6335    Input Arguments:
6336 +  ts - time stepping context
6337 .  U - state vector, usually ts->vec_sol
6338 .  Y - state vector to be compared to U
6339 -  wnormtype - norm type, either NORM_2 or NORM_INFINITY
6340 
6341    Output Arguments:
6342 .  norm - weighted norm, a value of 1.0 is considered small
6343 
6344 
6345    Options Database Keys:
6346 .  -ts_adapt_wnormtype <wnormtype> - 2, INFINITY
6347 
6348    Level: developer
6349 
6350 .seealso: TSErrorWeightedNormInfinity(), TSErrorWeightedNorm2()
6351 @*/
6352 PetscErrorCode TSErrorWeightedNorm(TS ts,Vec U,Vec Y,NormType wnormtype,PetscReal *norm,PetscReal *norma,PetscReal *normr)
6353 {
6354   PetscErrorCode ierr;
6355 
6356   PetscFunctionBegin;
6357   if (wnormtype == NORM_2) {
6358     ierr = TSErrorWeightedNorm2(ts,U,Y,norm,norma,normr);CHKERRQ(ierr);
6359   } else if(wnormtype == NORM_INFINITY) {
6360     ierr = TSErrorWeightedNormInfinity(ts,U,Y,norm,norma,normr);CHKERRQ(ierr);
6361   } else SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for norm type %s",NormTypes[wnormtype]);
6362   PetscFunctionReturn(0);
6363 }
6364 
6365 #undef __FUNCT__
6366 #define __FUNCT__ "TSSetCFLTimeLocal"
6367 /*@
6368    TSSetCFLTimeLocal - Set the local CFL constraint relative to forward Euler
6369 
6370    Logically Collective on TS
6371 
6372    Input Arguments:
6373 +  ts - time stepping context
6374 -  cfltime - maximum stable time step if using forward Euler (value can be different on each process)
6375 
6376    Note:
6377    After calling this function, the global CFL time can be obtained by calling TSGetCFLTime()
6378 
6379    Level: intermediate
6380 
6381 .seealso: TSGetCFLTime(), TSADAPTCFL
6382 @*/
6383 PetscErrorCode TSSetCFLTimeLocal(TS ts,PetscReal cfltime)
6384 {
6385   PetscFunctionBegin;
6386   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6387   ts->cfltime_local = cfltime;
6388   ts->cfltime       = -1.;
6389   PetscFunctionReturn(0);
6390 }
6391 
6392 #undef __FUNCT__
6393 #define __FUNCT__ "TSGetCFLTime"
6394 /*@
6395    TSGetCFLTime - Get the maximum stable time step according to CFL criteria applied to forward Euler
6396 
6397    Collective on TS
6398 
6399    Input Arguments:
6400 .  ts - time stepping context
6401 
6402    Output Arguments:
6403 .  cfltime - maximum stable time step for forward Euler
6404 
6405    Level: advanced
6406 
6407 .seealso: TSSetCFLTimeLocal()
6408 @*/
6409 PetscErrorCode TSGetCFLTime(TS ts,PetscReal *cfltime)
6410 {
6411   PetscErrorCode ierr;
6412 
6413   PetscFunctionBegin;
6414   if (ts->cfltime < 0) {
6415     ierr = MPIU_Allreduce(&ts->cfltime_local,&ts->cfltime,1,MPIU_REAL,MPIU_MIN,PetscObjectComm((PetscObject)ts));CHKERRQ(ierr);
6416   }
6417   *cfltime = ts->cfltime;
6418   PetscFunctionReturn(0);
6419 }
6420 
6421 #undef __FUNCT__
6422 #define __FUNCT__ "TSVISetVariableBounds"
6423 /*@
6424    TSVISetVariableBounds - Sets the lower and upper bounds for the solution vector. xl <= x <= xu
6425 
6426    Input Parameters:
6427 .  ts   - the TS context.
6428 .  xl   - lower bound.
6429 .  xu   - upper bound.
6430 
6431    Notes:
6432    If this routine is not called then the lower and upper bounds are set to
6433    PETSC_NINFINITY and PETSC_INFINITY respectively during SNESSetUp().
6434 
6435    Level: advanced
6436 
6437 @*/
6438 PetscErrorCode TSVISetVariableBounds(TS ts, Vec xl, Vec xu)
6439 {
6440   PetscErrorCode ierr;
6441   SNES           snes;
6442 
6443   PetscFunctionBegin;
6444   ierr = TSGetSNES(ts,&snes);CHKERRQ(ierr);
6445   ierr = SNESVISetVariableBounds(snes,xl,xu);CHKERRQ(ierr);
6446   PetscFunctionReturn(0);
6447 }
6448 
6449 #if defined(PETSC_HAVE_MATLAB_ENGINE)
6450 #include <mex.h>
6451 
6452 typedef struct {char *funcname; mxArray *ctx;} TSMatlabContext;
6453 
6454 #undef __FUNCT__
6455 #define __FUNCT__ "TSComputeFunction_Matlab"
6456 /*
6457    TSComputeFunction_Matlab - Calls the function that has been set with
6458                          TSSetFunctionMatlab().
6459 
6460    Collective on TS
6461 
6462    Input Parameters:
6463 +  snes - the TS context
6464 -  u - input vector
6465 
6466    Output Parameter:
6467 .  y - function vector, as set by TSSetFunction()
6468 
6469    Notes:
6470    TSComputeFunction() is typically used within nonlinear solvers
6471    implementations, so most users would not generally call this routine
6472    themselves.
6473 
6474    Level: developer
6475 
6476 .keywords: TS, nonlinear, compute, function
6477 
6478 .seealso: TSSetFunction(), TSGetFunction()
6479 */
6480 PetscErrorCode  TSComputeFunction_Matlab(TS snes,PetscReal time,Vec u,Vec udot,Vec y, void *ctx)
6481 {
6482   PetscErrorCode  ierr;
6483   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6484   int             nlhs  = 1,nrhs = 7;
6485   mxArray         *plhs[1],*prhs[7];
6486   long long int   lx = 0,lxdot = 0,ly = 0,ls = 0;
6487 
6488   PetscFunctionBegin;
6489   PetscValidHeaderSpecific(snes,TS_CLASSID,1);
6490   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6491   PetscValidHeaderSpecific(udot,VEC_CLASSID,4);
6492   PetscValidHeaderSpecific(y,VEC_CLASSID,5);
6493   PetscCheckSameComm(snes,1,u,3);
6494   PetscCheckSameComm(snes,1,y,5);
6495 
6496   ierr = PetscMemcpy(&ls,&snes,sizeof(snes));CHKERRQ(ierr);
6497   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6498   ierr = PetscMemcpy(&lxdot,&udot,sizeof(udot));CHKERRQ(ierr);
6499   ierr = PetscMemcpy(&ly,&y,sizeof(u));CHKERRQ(ierr);
6500 
6501   prhs[0] =  mxCreateDoubleScalar((double)ls);
6502   prhs[1] =  mxCreateDoubleScalar(time);
6503   prhs[2] =  mxCreateDoubleScalar((double)lx);
6504   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6505   prhs[4] =  mxCreateDoubleScalar((double)ly);
6506   prhs[5] =  mxCreateString(sctx->funcname);
6507   prhs[6] =  sctx->ctx;
6508   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeFunctionInternal");CHKERRQ(ierr);
6509   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6510   mxDestroyArray(prhs[0]);
6511   mxDestroyArray(prhs[1]);
6512   mxDestroyArray(prhs[2]);
6513   mxDestroyArray(prhs[3]);
6514   mxDestroyArray(prhs[4]);
6515   mxDestroyArray(prhs[5]);
6516   mxDestroyArray(plhs[0]);
6517   PetscFunctionReturn(0);
6518 }
6519 
6520 
6521 #undef __FUNCT__
6522 #define __FUNCT__ "TSSetFunctionMatlab"
6523 /*
6524    TSSetFunctionMatlab - Sets the function evaluation routine and function
6525    vector for use by the TS routines in solving ODEs
6526    equations from MATLAB. Here the function is a string containing the name of a MATLAB function
6527 
6528    Logically Collective on TS
6529 
6530    Input Parameters:
6531 +  ts - the TS context
6532 -  func - function evaluation routine
6533 
6534    Calling sequence of func:
6535 $    func (TS ts,PetscReal time,Vec u,Vec udot,Vec f,void *ctx);
6536 
6537    Level: beginner
6538 
6539 .keywords: TS, nonlinear, set, function
6540 
6541 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6542 */
6543 PetscErrorCode  TSSetFunctionMatlab(TS ts,const char *func,mxArray *ctx)
6544 {
6545   PetscErrorCode  ierr;
6546   TSMatlabContext *sctx;
6547 
6548   PetscFunctionBegin;
6549   /* currently sctx is memory bleed */
6550   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6551   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6552   /*
6553      This should work, but it doesn't
6554   sctx->ctx = ctx;
6555   mexMakeArrayPersistent(sctx->ctx);
6556   */
6557   sctx->ctx = mxDuplicateArray(ctx);
6558 
6559   ierr = TSSetIFunction(ts,NULL,TSComputeFunction_Matlab,sctx);CHKERRQ(ierr);
6560   PetscFunctionReturn(0);
6561 }
6562 
6563 #undef __FUNCT__
6564 #define __FUNCT__ "TSComputeJacobian_Matlab"
6565 /*
6566    TSComputeJacobian_Matlab - Calls the function that has been set with
6567                          TSSetJacobianMatlab().
6568 
6569    Collective on TS
6570 
6571    Input Parameters:
6572 +  ts - the TS context
6573 .  u - input vector
6574 .  A, B - the matrices
6575 -  ctx - user context
6576 
6577    Level: developer
6578 
6579 .keywords: TS, nonlinear, compute, function
6580 
6581 .seealso: TSSetFunction(), TSGetFunction()
6582 @*/
6583 PetscErrorCode  TSComputeJacobian_Matlab(TS ts,PetscReal time,Vec u,Vec udot,PetscReal shift,Mat A,Mat B,void *ctx)
6584 {
6585   PetscErrorCode  ierr;
6586   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6587   int             nlhs  = 2,nrhs = 9;
6588   mxArray         *plhs[2],*prhs[9];
6589   long long int   lx = 0,lxdot = 0,lA = 0,ls = 0, lB = 0;
6590 
6591   PetscFunctionBegin;
6592   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6593   PetscValidHeaderSpecific(u,VEC_CLASSID,3);
6594 
6595   /* call Matlab function in ctx with arguments u and y */
6596 
6597   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6598   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6599   ierr = PetscMemcpy(&lxdot,&udot,sizeof(u));CHKERRQ(ierr);
6600   ierr = PetscMemcpy(&lA,A,sizeof(u));CHKERRQ(ierr);
6601   ierr = PetscMemcpy(&lB,B,sizeof(u));CHKERRQ(ierr);
6602 
6603   prhs[0] =  mxCreateDoubleScalar((double)ls);
6604   prhs[1] =  mxCreateDoubleScalar((double)time);
6605   prhs[2] =  mxCreateDoubleScalar((double)lx);
6606   prhs[3] =  mxCreateDoubleScalar((double)lxdot);
6607   prhs[4] =  mxCreateDoubleScalar((double)shift);
6608   prhs[5] =  mxCreateDoubleScalar((double)lA);
6609   prhs[6] =  mxCreateDoubleScalar((double)lB);
6610   prhs[7] =  mxCreateString(sctx->funcname);
6611   prhs[8] =  sctx->ctx;
6612   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSComputeJacobianInternal");CHKERRQ(ierr);
6613   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6614   mxDestroyArray(prhs[0]);
6615   mxDestroyArray(prhs[1]);
6616   mxDestroyArray(prhs[2]);
6617   mxDestroyArray(prhs[3]);
6618   mxDestroyArray(prhs[4]);
6619   mxDestroyArray(prhs[5]);
6620   mxDestroyArray(prhs[6]);
6621   mxDestroyArray(prhs[7]);
6622   mxDestroyArray(plhs[0]);
6623   mxDestroyArray(plhs[1]);
6624   PetscFunctionReturn(0);
6625 }
6626 
6627 
6628 #undef __FUNCT__
6629 #define __FUNCT__ "TSSetJacobianMatlab"
6630 /*
6631    TSSetJacobianMatlab - Sets the Jacobian function evaluation routine and two empty Jacobian matrices
6632    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
6633 
6634    Logically Collective on TS
6635 
6636    Input Parameters:
6637 +  ts - the TS context
6638 .  A,B - Jacobian matrices
6639 .  func - function evaluation routine
6640 -  ctx - user context
6641 
6642    Calling sequence of func:
6643 $    flag = func (TS ts,PetscReal time,Vec u,Vec udot,Mat A,Mat B,void *ctx);
6644 
6645 
6646    Level: developer
6647 
6648 .keywords: TS, nonlinear, set, function
6649 
6650 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6651 */
6652 PetscErrorCode  TSSetJacobianMatlab(TS ts,Mat A,Mat B,const char *func,mxArray *ctx)
6653 {
6654   PetscErrorCode  ierr;
6655   TSMatlabContext *sctx;
6656 
6657   PetscFunctionBegin;
6658   /* currently sctx is memory bleed */
6659   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6660   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6661   /*
6662      This should work, but it doesn't
6663   sctx->ctx = ctx;
6664   mexMakeArrayPersistent(sctx->ctx);
6665   */
6666   sctx->ctx = mxDuplicateArray(ctx);
6667 
6668   ierr = TSSetIJacobian(ts,A,B,TSComputeJacobian_Matlab,sctx);CHKERRQ(ierr);
6669   PetscFunctionReturn(0);
6670 }
6671 
6672 #undef __FUNCT__
6673 #define __FUNCT__ "TSMonitor_Matlab"
6674 /*
6675    TSMonitor_Matlab - Calls the function that has been set with TSMonitorSetMatlab().
6676 
6677    Collective on TS
6678 
6679 .seealso: TSSetFunction(), TSGetFunction()
6680 @*/
6681 PetscErrorCode  TSMonitor_Matlab(TS ts,PetscInt it, PetscReal time,Vec u, void *ctx)
6682 {
6683   PetscErrorCode  ierr;
6684   TSMatlabContext *sctx = (TSMatlabContext*)ctx;
6685   int             nlhs  = 1,nrhs = 6;
6686   mxArray         *plhs[1],*prhs[6];
6687   long long int   lx = 0,ls = 0;
6688 
6689   PetscFunctionBegin;
6690   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
6691   PetscValidHeaderSpecific(u,VEC_CLASSID,4);
6692 
6693   ierr = PetscMemcpy(&ls,&ts,sizeof(ts));CHKERRQ(ierr);
6694   ierr = PetscMemcpy(&lx,&u,sizeof(u));CHKERRQ(ierr);
6695 
6696   prhs[0] =  mxCreateDoubleScalar((double)ls);
6697   prhs[1] =  mxCreateDoubleScalar((double)it);
6698   prhs[2] =  mxCreateDoubleScalar((double)time);
6699   prhs[3] =  mxCreateDoubleScalar((double)lx);
6700   prhs[4] =  mxCreateString(sctx->funcname);
6701   prhs[5] =  sctx->ctx;
6702   ierr    =  mexCallMATLAB(nlhs,plhs,nrhs,prhs,"PetscTSMonitorInternal");CHKERRQ(ierr);
6703   ierr    =  mxGetScalar(plhs[0]);CHKERRQ(ierr);
6704   mxDestroyArray(prhs[0]);
6705   mxDestroyArray(prhs[1]);
6706   mxDestroyArray(prhs[2]);
6707   mxDestroyArray(prhs[3]);
6708   mxDestroyArray(prhs[4]);
6709   mxDestroyArray(plhs[0]);
6710   PetscFunctionReturn(0);
6711 }
6712 
6713 
6714 #undef __FUNCT__
6715 #define __FUNCT__ "TSMonitorSetMatlab"
6716 /*
6717    TSMonitorSetMatlab - Sets the monitor function from Matlab
6718 
6719    Level: developer
6720 
6721 .keywords: TS, nonlinear, set, function
6722 
6723 .seealso: TSGetFunction(), TSComputeFunction(), TSSetJacobian(), TSSetFunction()
6724 */
6725 PetscErrorCode  TSMonitorSetMatlab(TS ts,const char *func,mxArray *ctx)
6726 {
6727   PetscErrorCode  ierr;
6728   TSMatlabContext *sctx;
6729 
6730   PetscFunctionBegin;
6731   /* currently sctx is memory bleed */
6732   ierr = PetscNew(&sctx);CHKERRQ(ierr);
6733   ierr = PetscStrallocpy(func,&sctx->funcname);CHKERRQ(ierr);
6734   /*
6735      This should work, but it doesn't
6736   sctx->ctx = ctx;
6737   mexMakeArrayPersistent(sctx->ctx);
6738   */
6739   sctx->ctx = mxDuplicateArray(ctx);
6740 
6741   ierr = TSMonitorSet(ts,TSMonitor_Matlab,sctx,NULL);CHKERRQ(ierr);
6742   PetscFunctionReturn(0);
6743 }
6744 #endif
6745 
6746 #undef __FUNCT__
6747 #define __FUNCT__ "TSMonitorLGSolution"
6748 /*@C
6749    TSMonitorLGSolution - Monitors progress of the TS solvers by plotting each component of the solution vector
6750        in a time based line graph
6751 
6752    Collective on TS
6753 
6754    Input Parameters:
6755 +  ts - the TS context
6756 .  step - current time-step
6757 .  ptime - current time
6758 .  u - current solution
6759 -  dctx - the TSMonitorLGCtx object that contains all the options for the monitoring, this is created with TSMonitorLGCtxCreate()
6760 
6761    Options Database:
6762 .   -ts_monitor_lg_solution_variables
6763 
6764    Level: intermediate
6765 
6766    Notes: Each process in a parallel run displays its component solutions in a separate window
6767 
6768 .keywords: TS,  vector, monitor, view
6769 
6770 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGCtxCreate(), TSMonitorLGCtxSetVariableNames(), TSMonitorLGCtxGetVariableNames(),
6771            TSMonitorLGSetVariableNames(), TSMonitorLGGetVariableNames(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetDisplayVariables(),
6772            TSMonitorLGCtxSetTransform(), TSMonitorLGSetTransform(), TSMonitorLGError(), TSMonitorLGSNESIterations(), TSMonitorLGKSPIterations(),
6773            TSMonitorEnvelopeCtxCreate(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxDestroy(), TSMonitorEnvelop()
6774 @*/
6775 PetscErrorCode  TSMonitorLGSolution(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
6776 {
6777   PetscErrorCode    ierr;
6778   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dctx;
6779   const PetscScalar *yy;
6780   Vec               v;
6781 
6782   PetscFunctionBegin;
6783   if (step < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
6784   if (!step) {
6785     PetscDrawAxis axis;
6786     PetscInt      dim;
6787     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
6788     ierr = PetscDrawAxisSetLabels(axis,"Solution as function of time","Time","Solution");CHKERRQ(ierr);
6789     if (!ctx->names) {
6790       PetscBool flg;
6791       /* user provides names of variables to plot but no names has been set so assume names are integer values */
6792       ierr = PetscOptionsHasName(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",&flg);CHKERRQ(ierr);
6793       if (flg) {
6794         PetscInt i,n;
6795         char     **names;
6796         ierr = VecGetSize(u,&n);CHKERRQ(ierr);
6797         ierr = PetscMalloc1(n+1,&names);CHKERRQ(ierr);
6798         for (i=0; i<n; i++) {
6799           ierr = PetscMalloc1(5,&names[i]);CHKERRQ(ierr);
6800           ierr = PetscSNPrintf(names[i],5,"%D",i);CHKERRQ(ierr);
6801         }
6802         names[n] = NULL;
6803         ctx->names = names;
6804       }
6805     }
6806     if (ctx->names && !ctx->displaynames) {
6807       char      **displaynames;
6808       PetscBool flg;
6809       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6810       ierr = PetscMalloc1(dim+1,&displaynames);CHKERRQ(ierr);
6811       ierr = PetscMemzero(displaynames,(dim+1)*sizeof(char*));CHKERRQ(ierr);
6812       ierr = PetscOptionsGetStringArray(((PetscObject)ts)->options,((PetscObject)ts)->prefix,"-ts_monitor_lg_solution_variables",displaynames,&dim,&flg);CHKERRQ(ierr);
6813       if (flg) {
6814         ierr = TSMonitorLGCtxSetDisplayVariables(ctx,(const char *const *)displaynames);CHKERRQ(ierr);
6815       }
6816       ierr = PetscStrArrayDestroy(&displaynames);CHKERRQ(ierr);
6817     }
6818     if (ctx->displaynames) {
6819       ierr = PetscDrawLGSetDimension(ctx->lg,ctx->ndisplayvariables);CHKERRQ(ierr);
6820       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->displaynames);CHKERRQ(ierr);
6821     } else if (ctx->names) {
6822       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6823       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6824       ierr = PetscDrawLGSetLegend(ctx->lg,(const char *const *)ctx->names);CHKERRQ(ierr);
6825     } else {
6826       ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
6827       ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
6828     }
6829     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
6830   }
6831 
6832   if (!ctx->transform) v = u;
6833   else {ierr = (*ctx->transform)(ctx->transformctx,u,&v);CHKERRQ(ierr);}
6834   ierr = VecGetArrayRead(v,&yy);CHKERRQ(ierr);
6835   if (ctx->displaynames) {
6836     PetscInt i;
6837     for (i=0; i<ctx->ndisplayvariables; i++)
6838       ctx->displayvalues[i] = PetscRealPart(yy[ctx->displayvariables[i]]);
6839     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,ctx->displayvalues);CHKERRQ(ierr);
6840   } else {
6841 #if defined(PETSC_USE_COMPLEX)
6842     PetscInt  i,n;
6843     PetscReal *yreal;
6844     ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
6845     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
6846     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
6847     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
6848     ierr = PetscFree(yreal);CHKERRQ(ierr);
6849 #else
6850     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
6851 #endif
6852   }
6853   ierr = VecRestoreArrayRead(v,&yy);CHKERRQ(ierr);
6854   if (ctx->transform) {ierr = VecDestroy(&v);CHKERRQ(ierr);}
6855 
6856   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
6857     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
6858     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
6859   }
6860   PetscFunctionReturn(0);
6861 }
6862 
6863 
6864 #undef __FUNCT__
6865 #define __FUNCT__ "TSMonitorLGSetVariableNames"
6866 /*@C
6867    TSMonitorLGSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6868 
6869    Collective on TS
6870 
6871    Input Parameters:
6872 +  ts - the TS context
6873 -  names - the names of the components, final string must be NULL
6874 
6875    Level: intermediate
6876 
6877    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6878 
6879 .keywords: TS,  vector, monitor, view
6880 
6881 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGCtxSetVariableNames()
6882 @*/
6883 PetscErrorCode  TSMonitorLGSetVariableNames(TS ts,const char * const *names)
6884 {
6885   PetscErrorCode    ierr;
6886   PetscInt          i;
6887 
6888   PetscFunctionBegin;
6889   for (i=0; i<ts->numbermonitors; i++) {
6890     if (ts->monitor[i] == TSMonitorLGSolution) {
6891       ierr = TSMonitorLGCtxSetVariableNames((TSMonitorLGCtx)ts->monitorcontext[i],names);CHKERRQ(ierr);
6892       break;
6893     }
6894   }
6895   PetscFunctionReturn(0);
6896 }
6897 
6898 #undef __FUNCT__
6899 #define __FUNCT__ "TSMonitorLGCtxSetVariableNames"
6900 /*@C
6901    TSMonitorLGCtxSetVariableNames - Sets the name of each component in the solution vector so that it may be displayed in the plot
6902 
6903    Collective on TS
6904 
6905    Input Parameters:
6906 +  ts - the TS context
6907 -  names - the names of the components, final string must be NULL
6908 
6909    Level: intermediate
6910 
6911 .keywords: TS,  vector, monitor, view
6912 
6913 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables(), TSMonitorLGSetVariableNames()
6914 @*/
6915 PetscErrorCode  TSMonitorLGCtxSetVariableNames(TSMonitorLGCtx ctx,const char * const *names)
6916 {
6917   PetscErrorCode    ierr;
6918 
6919   PetscFunctionBegin;
6920   ierr = PetscStrArrayDestroy(&ctx->names);CHKERRQ(ierr);
6921   ierr = PetscStrArrayallocpy(names,&ctx->names);CHKERRQ(ierr);
6922   PetscFunctionReturn(0);
6923 }
6924 
6925 #undef __FUNCT__
6926 #define __FUNCT__ "TSMonitorLGGetVariableNames"
6927 /*@C
6928    TSMonitorLGGetVariableNames - Gets the name of each component in the solution vector so that it may be displayed in the plot
6929 
6930    Collective on TS
6931 
6932    Input Parameter:
6933 .  ts - the TS context
6934 
6935    Output Parameter:
6936 .  names - the names of the components, final string must be NULL
6937 
6938    Level: intermediate
6939 
6940    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
6941 
6942 .keywords: TS,  vector, monitor, view
6943 
6944 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
6945 @*/
6946 PetscErrorCode  TSMonitorLGGetVariableNames(TS ts,const char *const **names)
6947 {
6948   PetscInt       i;
6949 
6950   PetscFunctionBegin;
6951   *names = NULL;
6952   for (i=0; i<ts->numbermonitors; i++) {
6953     if (ts->monitor[i] == TSMonitorLGSolution) {
6954       TSMonitorLGCtx  ctx = (TSMonitorLGCtx) ts->monitorcontext[i];
6955       *names = (const char *const *)ctx->names;
6956       break;
6957     }
6958   }
6959   PetscFunctionReturn(0);
6960 }
6961 
6962 #undef __FUNCT__
6963 #define __FUNCT__ "TSMonitorLGCtxSetDisplayVariables"
6964 /*@C
6965    TSMonitorLGCtxSetDisplayVariables - Sets the variables that are to be display in the monitor
6966 
6967    Collective on TS
6968 
6969    Input Parameters:
6970 +  ctx - the TSMonitorLG context
6971 .  displaynames - the names of the components, final string must be NULL
6972 
6973    Level: intermediate
6974 
6975 .keywords: TS,  vector, monitor, view
6976 
6977 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
6978 @*/
6979 PetscErrorCode  TSMonitorLGCtxSetDisplayVariables(TSMonitorLGCtx ctx,const char * const *displaynames)
6980 {
6981   PetscInt          j = 0,k;
6982   PetscErrorCode    ierr;
6983 
6984   PetscFunctionBegin;
6985   if (!ctx->names) PetscFunctionReturn(0);
6986   ierr = PetscStrArrayDestroy(&ctx->displaynames);CHKERRQ(ierr);
6987   ierr = PetscStrArrayallocpy(displaynames,&ctx->displaynames);CHKERRQ(ierr);
6988   while (displaynames[j]) j++;
6989   ctx->ndisplayvariables = j;
6990   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvariables);CHKERRQ(ierr);
6991   ierr = PetscMalloc1(ctx->ndisplayvariables,&ctx->displayvalues);CHKERRQ(ierr);
6992   j = 0;
6993   while (displaynames[j]) {
6994     k = 0;
6995     while (ctx->names[k]) {
6996       PetscBool flg;
6997       ierr = PetscStrcmp(displaynames[j],ctx->names[k],&flg);CHKERRQ(ierr);
6998       if (flg) {
6999         ctx->displayvariables[j] = k;
7000         break;
7001       }
7002       k++;
7003     }
7004     j++;
7005   }
7006   PetscFunctionReturn(0);
7007 }
7008 
7009 
7010 #undef __FUNCT__
7011 #define __FUNCT__ "TSMonitorLGSetDisplayVariables"
7012 /*@C
7013    TSMonitorLGSetDisplayVariables - Sets the variables that are to be display in the monitor
7014 
7015    Collective on TS
7016 
7017    Input Parameters:
7018 +  ts - the TS context
7019 .  displaynames - the names of the components, final string must be NULL
7020 
7021    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
7022 
7023    Level: intermediate
7024 
7025 .keywords: TS,  vector, monitor, view
7026 
7027 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames()
7028 @*/
7029 PetscErrorCode  TSMonitorLGSetDisplayVariables(TS ts,const char * const *displaynames)
7030 {
7031   PetscInt          i;
7032   PetscErrorCode    ierr;
7033 
7034   PetscFunctionBegin;
7035   for (i=0; i<ts->numbermonitors; i++) {
7036     if (ts->monitor[i] == TSMonitorLGSolution) {
7037       ierr = TSMonitorLGCtxSetDisplayVariables((TSMonitorLGCtx)ts->monitorcontext[i],displaynames);CHKERRQ(ierr);
7038       break;
7039     }
7040   }
7041   PetscFunctionReturn(0);
7042 }
7043 
7044 #undef __FUNCT__
7045 #define __FUNCT__ "TSMonitorLGSetTransform"
7046 /*@C
7047    TSMonitorLGSetTransform - Solution vector will be transformed by provided function before being displayed
7048 
7049    Collective on TS
7050 
7051    Input Parameters:
7052 +  ts - the TS context
7053 .  transform - the transform function
7054 .  destroy - function to destroy the optional context
7055 -  ctx - optional context used by transform function
7056 
7057    Notes: If the TS object does not have a TSMonitorLGCtx associated with it then this function is ignored
7058 
7059    Level: intermediate
7060 
7061 .keywords: TS,  vector, monitor, view
7062 
7063 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGCtxSetTransform()
7064 @*/
7065 PetscErrorCode  TSMonitorLGSetTransform(TS ts,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
7066 {
7067   PetscInt          i;
7068   PetscErrorCode    ierr;
7069 
7070   PetscFunctionBegin;
7071   for (i=0; i<ts->numbermonitors; i++) {
7072     if (ts->monitor[i] == TSMonitorLGSolution) {
7073       ierr = TSMonitorLGCtxSetTransform((TSMonitorLGCtx)ts->monitorcontext[i],transform,destroy,tctx);CHKERRQ(ierr);
7074     }
7075   }
7076   PetscFunctionReturn(0);
7077 }
7078 
7079 #undef __FUNCT__
7080 #define __FUNCT__ "TSMonitorLGCtxSetTransform"
7081 /*@C
7082    TSMonitorLGCtxSetTransform - Solution vector will be transformed by provided function before being displayed
7083 
7084    Collective on TSLGCtx
7085 
7086    Input Parameters:
7087 +  ts - the TS context
7088 .  transform - the transform function
7089 .  destroy - function to destroy the optional context
7090 -  ctx - optional context used by transform function
7091 
7092    Level: intermediate
7093 
7094 .keywords: TS,  vector, monitor, view
7095 
7096 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetVariableNames(), TSMonitorLGSetTransform()
7097 @*/
7098 PetscErrorCode  TSMonitorLGCtxSetTransform(TSMonitorLGCtx ctx,PetscErrorCode (*transform)(void*,Vec,Vec*),PetscErrorCode (*destroy)(void*),void *tctx)
7099 {
7100   PetscFunctionBegin;
7101   ctx->transform    = transform;
7102   ctx->transformdestroy = destroy;
7103   ctx->transformctx = tctx;
7104   PetscFunctionReturn(0);
7105 }
7106 
7107 #undef __FUNCT__
7108 #define __FUNCT__ "TSMonitorLGError"
7109 /*@C
7110    TSMonitorLGError - Monitors progress of the TS solvers by plotting each component of the solution vector
7111        in a time based line graph
7112 
7113    Collective on TS
7114 
7115    Input Parameters:
7116 +  ts - the TS context
7117 .  step - current time-step
7118 .  ptime - current time
7119 .  u - current solution
7120 -  dctx - TSMonitorLGCtx object created with TSMonitorLGCtxCreate()
7121 
7122    Level: intermediate
7123 
7124    Notes: Each process in a parallel run displays its component errors in a separate window
7125 
7126    The user must provide the solution using TSSetSolutionFunction() to use this monitor.
7127 
7128    Options Database Keys:
7129 .  -ts_monitor_lg_error - create a graphical monitor of error history
7130 
7131 .keywords: TS,  vector, monitor, view
7132 
7133 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSSetSolutionFunction()
7134 @*/
7135 PetscErrorCode  TSMonitorLGError(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dummy)
7136 {
7137   PetscErrorCode    ierr;
7138   TSMonitorLGCtx    ctx = (TSMonitorLGCtx)dummy;
7139   const PetscScalar *yy;
7140   Vec               y;
7141 
7142   PetscFunctionBegin;
7143   if (!step) {
7144     PetscDrawAxis axis;
7145     PetscInt      dim;
7146     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7147     ierr = PetscDrawAxisSetLabels(axis,"Error in solution as function of time","Time","Solution");CHKERRQ(ierr);
7148     ierr = VecGetLocalSize(u,&dim);CHKERRQ(ierr);
7149     ierr = PetscDrawLGSetDimension(ctx->lg,dim);CHKERRQ(ierr);
7150     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7151   }
7152   ierr = VecDuplicate(u,&y);CHKERRQ(ierr);
7153   ierr = TSComputeSolutionFunction(ts,ptime,y);CHKERRQ(ierr);
7154   ierr = VecAXPY(y,-1.0,u);CHKERRQ(ierr);
7155   ierr = VecGetArrayRead(y,&yy);CHKERRQ(ierr);
7156 #if defined(PETSC_USE_COMPLEX)
7157   {
7158     PetscReal *yreal;
7159     PetscInt  i,n;
7160     ierr = VecGetLocalSize(y,&n);CHKERRQ(ierr);
7161     ierr = PetscMalloc1(n,&yreal);CHKERRQ(ierr);
7162     for (i=0; i<n; i++) yreal[i] = PetscRealPart(yy[i]);
7163     ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yreal);CHKERRQ(ierr);
7164     ierr = PetscFree(yreal);CHKERRQ(ierr);
7165   }
7166 #else
7167   ierr = PetscDrawLGAddCommonPoint(ctx->lg,ptime,yy);CHKERRQ(ierr);
7168 #endif
7169   ierr = VecRestoreArrayRead(y,&yy);CHKERRQ(ierr);
7170   ierr = VecDestroy(&y);CHKERRQ(ierr);
7171   if (((ctx->howoften > 0) && (!(step % ctx->howoften))) || ((ctx->howoften == -1) && ts->reason)) {
7172     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7173     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7174   }
7175   PetscFunctionReturn(0);
7176 }
7177 
7178 #undef __FUNCT__
7179 #define __FUNCT__ "TSMonitorLGSNESIterations"
7180 PetscErrorCode TSMonitorLGSNESIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
7181 {
7182   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
7183   PetscReal      x   = ptime,y;
7184   PetscErrorCode ierr;
7185   PetscInt       its;
7186 
7187   PetscFunctionBegin;
7188   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
7189   if (!n) {
7190     PetscDrawAxis axis;
7191     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7192     ierr = PetscDrawAxisSetLabels(axis,"Nonlinear iterations as function of time","Time","SNES Iterations");CHKERRQ(ierr);
7193     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7194     ctx->snes_its = 0;
7195   }
7196   ierr = TSGetSNESIterations(ts,&its);CHKERRQ(ierr);
7197   y    = its - ctx->snes_its;
7198   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
7199   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
7200     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7201     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7202   }
7203   ctx->snes_its = its;
7204   PetscFunctionReturn(0);
7205 }
7206 
7207 #undef __FUNCT__
7208 #define __FUNCT__ "TSMonitorLGKSPIterations"
7209 PetscErrorCode TSMonitorLGKSPIterations(TS ts,PetscInt n,PetscReal ptime,Vec v,void *monctx)
7210 {
7211   TSMonitorLGCtx ctx = (TSMonitorLGCtx) monctx;
7212   PetscReal      x   = ptime,y;
7213   PetscErrorCode ierr;
7214   PetscInt       its;
7215 
7216   PetscFunctionBegin;
7217   if (n < 0) PetscFunctionReturn(0); /* -1 indicates interpolated solution */
7218   if (!n) {
7219     PetscDrawAxis axis;
7220     ierr = PetscDrawLGGetAxis(ctx->lg,&axis);CHKERRQ(ierr);
7221     ierr = PetscDrawAxisSetLabels(axis,"Linear iterations as function of time","Time","KSP Iterations");CHKERRQ(ierr);
7222     ierr = PetscDrawLGReset(ctx->lg);CHKERRQ(ierr);
7223     ctx->ksp_its = 0;
7224   }
7225   ierr = TSGetKSPIterations(ts,&its);CHKERRQ(ierr);
7226   y    = its - ctx->ksp_its;
7227   ierr = PetscDrawLGAddPoint(ctx->lg,&x,&y);CHKERRQ(ierr);
7228   if (((ctx->howoften > 0) && (!(n % ctx->howoften)) && (n > -1)) || ((ctx->howoften == -1) && (n == -1))) {
7229     ierr = PetscDrawLGDraw(ctx->lg);CHKERRQ(ierr);
7230     ierr = PetscDrawLGSave(ctx->lg);CHKERRQ(ierr);
7231   }
7232   ctx->ksp_its = its;
7233   PetscFunctionReturn(0);
7234 }
7235 
7236 #undef __FUNCT__
7237 #define __FUNCT__ "TSComputeLinearStability"
7238 /*@
7239    TSComputeLinearStability - computes the linear stability function at a point
7240 
7241    Collective on TS and Vec
7242 
7243    Input Parameters:
7244 +  ts - the TS context
7245 -  xr,xi - real and imaginary part of input arguments
7246 
7247    Output Parameters:
7248 .  yr,yi - real and imaginary part of function value
7249 
7250    Level: developer
7251 
7252 .keywords: TS, compute
7253 
7254 .seealso: TSSetRHSFunction(), TSComputeIFunction()
7255 @*/
7256 PetscErrorCode TSComputeLinearStability(TS ts,PetscReal xr,PetscReal xi,PetscReal *yr,PetscReal *yi)
7257 {
7258   PetscErrorCode ierr;
7259 
7260   PetscFunctionBegin;
7261   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7262   if (!ts->ops->linearstability) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"Linearized stability function not provided for this method");
7263   ierr = (*ts->ops->linearstability)(ts,xr,xi,yr,yi);CHKERRQ(ierr);
7264   PetscFunctionReturn(0);
7265 }
7266 
7267 /* ------------------------------------------------------------------------*/
7268 #undef __FUNCT__
7269 #define __FUNCT__ "TSMonitorEnvelopeCtxCreate"
7270 /*@C
7271    TSMonitorEnvelopeCtxCreate - Creates a context for use with TSMonitorEnvelope()
7272 
7273    Collective on TS
7274 
7275    Input Parameters:
7276 .  ts  - the ODE solver object
7277 
7278    Output Parameter:
7279 .  ctx - the context
7280 
7281    Level: intermediate
7282 
7283 .keywords: TS, monitor, line graph, residual, seealso
7284 
7285 .seealso: TSMonitorLGTimeStep(), TSMonitorSet(), TSMonitorLGSolution(), TSMonitorLGError()
7286 
7287 @*/
7288 PetscErrorCode  TSMonitorEnvelopeCtxCreate(TS ts,TSMonitorEnvelopeCtx *ctx)
7289 {
7290   PetscErrorCode ierr;
7291 
7292   PetscFunctionBegin;
7293   ierr = PetscNew(ctx);CHKERRQ(ierr);
7294   PetscFunctionReturn(0);
7295 }
7296 
7297 #undef __FUNCT__
7298 #define __FUNCT__ "TSMonitorEnvelope"
7299 /*@C
7300    TSMonitorEnvelope - Monitors the maximum and minimum value of each component of the solution
7301 
7302    Collective on TS
7303 
7304    Input Parameters:
7305 +  ts - the TS context
7306 .  step - current time-step
7307 .  ptime - current time
7308 .  u  - current solution
7309 -  dctx - the envelope context
7310 
7311    Options Database:
7312 .  -ts_monitor_envelope
7313 
7314    Level: intermediate
7315 
7316    Notes: after a solve you can use TSMonitorEnvelopeGetBounds() to access the envelope
7317 
7318 .keywords: TS,  vector, monitor, view
7319 
7320 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorEnvelopeGetBounds(), TSMonitorEnvelopeCtxCreate()
7321 @*/
7322 PetscErrorCode  TSMonitorEnvelope(TS ts,PetscInt step,PetscReal ptime,Vec u,void *dctx)
7323 {
7324   PetscErrorCode       ierr;
7325   TSMonitorEnvelopeCtx ctx = (TSMonitorEnvelopeCtx)dctx;
7326 
7327   PetscFunctionBegin;
7328   if (!ctx->max) {
7329     ierr = VecDuplicate(u,&ctx->max);CHKERRQ(ierr);
7330     ierr = VecDuplicate(u,&ctx->min);CHKERRQ(ierr);
7331     ierr = VecCopy(u,ctx->max);CHKERRQ(ierr);
7332     ierr = VecCopy(u,ctx->min);CHKERRQ(ierr);
7333   } else {
7334     ierr = VecPointwiseMax(ctx->max,u,ctx->max);CHKERRQ(ierr);
7335     ierr = VecPointwiseMin(ctx->min,u,ctx->min);CHKERRQ(ierr);
7336   }
7337   PetscFunctionReturn(0);
7338 }
7339 
7340 
7341 #undef __FUNCT__
7342 #define __FUNCT__ "TSMonitorEnvelopeGetBounds"
7343 /*@C
7344    TSMonitorEnvelopeGetBounds - Gets the bounds for the components of the solution
7345 
7346    Collective on TS
7347 
7348    Input Parameter:
7349 .  ts - the TS context
7350 
7351    Output Parameter:
7352 +  max - the maximum values
7353 -  min - the minimum values
7354 
7355    Notes: If the TS does not have a TSMonitorEnvelopeCtx associated with it then this function is ignored
7356 
7357    Level: intermediate
7358 
7359 .keywords: TS,  vector, monitor, view
7360 
7361 .seealso: TSMonitorSet(), TSMonitorDefault(), VecView(), TSMonitorLGSetDisplayVariables()
7362 @*/
7363 PetscErrorCode  TSMonitorEnvelopeGetBounds(TS ts,Vec *max,Vec *min)
7364 {
7365   PetscInt i;
7366 
7367   PetscFunctionBegin;
7368   if (max) *max = NULL;
7369   if (min) *min = NULL;
7370   for (i=0; i<ts->numbermonitors; i++) {
7371     if (ts->monitor[i] == TSMonitorEnvelope) {
7372       TSMonitorEnvelopeCtx  ctx = (TSMonitorEnvelopeCtx) ts->monitorcontext[i];
7373       if (max) *max = ctx->max;
7374       if (min) *min = ctx->min;
7375       break;
7376     }
7377   }
7378   PetscFunctionReturn(0);
7379 }
7380 
7381 #undef __FUNCT__
7382 #define __FUNCT__ "TSMonitorEnvelopeCtxDestroy"
7383 /*@C
7384    TSMonitorEnvelopeCtxDestroy - Destroys a context that was created  with TSMonitorEnvelopeCtxCreate().
7385 
7386    Collective on TSMonitorEnvelopeCtx
7387 
7388    Input Parameter:
7389 .  ctx - the monitor context
7390 
7391    Level: intermediate
7392 
7393 .keywords: TS, monitor, line graph, destroy
7394 
7395 .seealso: TSMonitorLGCtxCreate(),  TSMonitorSet(), TSMonitorLGTimeStep()
7396 @*/
7397 PetscErrorCode  TSMonitorEnvelopeCtxDestroy(TSMonitorEnvelopeCtx *ctx)
7398 {
7399   PetscErrorCode ierr;
7400 
7401   PetscFunctionBegin;
7402   ierr = VecDestroy(&(*ctx)->min);CHKERRQ(ierr);
7403   ierr = VecDestroy(&(*ctx)->max);CHKERRQ(ierr);
7404   ierr = PetscFree(*ctx);CHKERRQ(ierr);
7405   PetscFunctionReturn(0);
7406 }
7407 
7408 #undef __FUNCT__
7409 #define __FUNCT__ "TSRollBack"
7410 /*@
7411    TSRollBack - Rolls back one time step
7412 
7413    Collective on TS
7414 
7415    Input Parameter:
7416 .  ts - the TS context obtained from TSCreate()
7417 
7418    Level: advanced
7419 
7420 .keywords: TS, timestep, rollback
7421 
7422 .seealso: TSCreate(), TSSetUp(), TSDestroy(), TSSolve(), TSSetPreStep(), TSSetPreStage(), TSInterpolate()
7423 @*/
7424 PetscErrorCode  TSRollBack(TS ts)
7425 {
7426   PetscErrorCode ierr;
7427 
7428   PetscFunctionBegin;
7429   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7430   if (ts->steprollback) SETERRQ(PetscObjectComm((PetscObject)ts),PETSC_ERR_ARG_WRONGSTATE,"TSRollBack already called");
7431   if (!ts->ops->rollback) SETERRQ1(PetscObjectComm((PetscObject)ts),PETSC_ERR_SUP,"TSRollBack not implemented for type '%s'",((PetscObject)ts)->type_name);
7432   ierr = (*ts->ops->rollback)(ts);CHKERRQ(ierr);
7433   ts->time_step = ts->ptime - ts->ptime_prev;
7434   ts->ptime = ts->ptime_prev;
7435   ts->ptime_prev = ts->ptime_prev_rollback;
7436   ts->steps--; ts->total_steps--;
7437   ts->steprollback = PETSC_TRUE;
7438   PetscFunctionReturn(0);
7439 }
7440 
7441 #undef __FUNCT__
7442 #define __FUNCT__ "TSGetStages"
7443 /*@
7444    TSGetStages - Get the number of stages and stage values
7445 
7446    Input Parameter:
7447 .  ts - the TS context obtained from TSCreate()
7448 
7449    Level: advanced
7450 
7451 .keywords: TS, getstages
7452 
7453 .seealso: TSCreate()
7454 @*/
7455 PetscErrorCode  TSGetStages(TS ts,PetscInt *ns,Vec **Y)
7456 {
7457   PetscErrorCode ierr;
7458 
7459   PetscFunctionBegin;
7460   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7461   PetscValidPointer(ns,2);
7462 
7463   if (!ts->ops->getstages) *ns=0;
7464   else {
7465     ierr = (*ts->ops->getstages)(ts,ns,Y);CHKERRQ(ierr);
7466   }
7467   PetscFunctionReturn(0);
7468 }
7469 
7470 #undef __FUNCT__
7471 #define __FUNCT__ "TSComputeIJacobianDefaultColor"
7472 /*@C
7473   TSComputeIJacobianDefaultColor - Computes the Jacobian using finite differences and coloring to exploit matrix sparsity.
7474 
7475   Collective on SNES
7476 
7477   Input Parameters:
7478 + ts - the TS context
7479 . t - current timestep
7480 . U - state vector
7481 . Udot - time derivative of state vector
7482 . shift - shift to apply, see note below
7483 - ctx - an optional user context
7484 
7485   Output Parameters:
7486 + J - Jacobian matrix (not altered in this routine)
7487 - B - newly computed Jacobian matrix to use with preconditioner (generally the same as J)
7488 
7489   Level: intermediate
7490 
7491   Notes:
7492   If F(t,U,Udot)=0 is the DAE, the required Jacobian is
7493 
7494   dF/dU + shift*dF/dUdot
7495 
7496   Most users should not need to explicitly call this routine, as it
7497   is used internally within the nonlinear solvers.
7498 
7499   This will first try to get the coloring from the DM.  If the DM type has no coloring
7500   routine, then it will try to get the coloring from the matrix.  This requires that the
7501   matrix have nonzero entries precomputed.
7502 
7503 .keywords: TS, finite differences, Jacobian, coloring, sparse
7504 .seealso: TSSetIJacobian(), MatFDColoringCreate(), MatFDColoringSetFunction()
7505 @*/
7506 PetscErrorCode TSComputeIJacobianDefaultColor(TS ts,PetscReal t,Vec U,Vec Udot,PetscReal shift,Mat J,Mat B,void *ctx)
7507 {
7508   SNES           snes;
7509   MatFDColoring  color;
7510   PetscBool      hascolor, matcolor = PETSC_FALSE;
7511   PetscErrorCode ierr;
7512 
7513   PetscFunctionBegin;
7514   ierr = PetscOptionsGetBool(((PetscObject)ts)->options,((PetscObject) ts)->prefix, "-ts_fd_color_use_mat", &matcolor, NULL);CHKERRQ(ierr);
7515   ierr = PetscObjectQuery((PetscObject) B, "TSMatFDColoring", (PetscObject *) &color);CHKERRQ(ierr);
7516   if (!color) {
7517     DM         dm;
7518     ISColoring iscoloring;
7519 
7520     ierr = TSGetDM(ts, &dm);CHKERRQ(ierr);
7521     ierr = DMHasColoring(dm, &hascolor);CHKERRQ(ierr);
7522     if (hascolor && !matcolor) {
7523       ierr = DMCreateColoring(dm, IS_COLORING_GLOBAL, &iscoloring);CHKERRQ(ierr);
7524       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7525       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7526       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7527       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7528       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7529     } else {
7530       MatColoring mc;
7531 
7532       ierr = MatColoringCreate(B, &mc);CHKERRQ(ierr);
7533       ierr = MatColoringSetDistance(mc, 2);CHKERRQ(ierr);
7534       ierr = MatColoringSetType(mc, MATCOLORINGSL);CHKERRQ(ierr);
7535       ierr = MatColoringSetFromOptions(mc);CHKERRQ(ierr);
7536       ierr = MatColoringApply(mc, &iscoloring);CHKERRQ(ierr);
7537       ierr = MatColoringDestroy(&mc);CHKERRQ(ierr);
7538       ierr = MatFDColoringCreate(B, iscoloring, &color);CHKERRQ(ierr);
7539       ierr = MatFDColoringSetFunction(color, (PetscErrorCode (*)(void)) SNESTSFormFunction, (void *) ts);CHKERRQ(ierr);
7540       ierr = MatFDColoringSetFromOptions(color);CHKERRQ(ierr);
7541       ierr = MatFDColoringSetUp(B, iscoloring, color);CHKERRQ(ierr);
7542       ierr = ISColoringDestroy(&iscoloring);CHKERRQ(ierr);
7543     }
7544     ierr = PetscObjectCompose((PetscObject) B, "TSMatFDColoring", (PetscObject) color);CHKERRQ(ierr);
7545     ierr = PetscObjectDereference((PetscObject) color);CHKERRQ(ierr);
7546   }
7547   ierr = TSGetSNES(ts, &snes);CHKERRQ(ierr);
7548   ierr = MatFDColoringApply(B, color, U, snes);CHKERRQ(ierr);
7549   if (J != B) {
7550     ierr = MatAssemblyBegin(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7551     ierr = MatAssemblyEnd(J, MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
7552   }
7553   PetscFunctionReturn(0);
7554 }
7555 
7556 #undef __FUNCT__
7557 #define __FUNCT__ "TSSetFunctionDomainError"
7558 /*@
7559     TSSetFunctionDomainError - Set the function testing if the current state vector is valid
7560 
7561     Input Parameters:
7562     ts - the TS context
7563     func - function called within TSFunctionDomainError
7564 
7565     Level: intermediate
7566 
7567 .keywords: TS, state, domain
7568 .seealso: TSAdaptCheckStage(), TSFunctionDomainError()
7569 @*/
7570 
7571 PetscErrorCode TSSetFunctionDomainError(TS ts, PetscErrorCode (*func)(TS,PetscReal,Vec,PetscBool*))
7572 {
7573   PetscFunctionBegin;
7574   PetscValidHeaderSpecific(ts, TS_CLASSID,1);
7575   ts->functiondomainerror = func;
7576   PetscFunctionReturn(0);
7577 }
7578 
7579 #undef __FUNCT__
7580 #define __FUNCT__ "TSFunctionDomainError"
7581 /*@
7582     TSFunctionDomainError - Check if the current state is valid
7583 
7584     Input Parameters:
7585     ts - the TS context
7586     stagetime - time of the simulation
7587     Y - state vector to check.
7588 
7589     Output Parameter:
7590     accept - Set to PETSC_FALSE if the current state vector is valid.
7591 
7592     Note:
7593     This function should be used to ensure the state is in a valid part of the space.
7594     For example, one can ensure here all values are positive.
7595 
7596     Level: advanced
7597 @*/
7598 PetscErrorCode TSFunctionDomainError(TS ts,PetscReal stagetime,Vec Y,PetscBool* accept)
7599 {
7600   PetscErrorCode ierr;
7601 
7602   PetscFunctionBegin;
7603 
7604   PetscValidHeaderSpecific(ts,TS_CLASSID,1);
7605   *accept = PETSC_TRUE;
7606   if (ts->functiondomainerror) {
7607     PetscStackCallStandard((*ts->functiondomainerror),(ts,stagetime,Y,accept));
7608   }
7609   PetscFunctionReturn(0);
7610 }
7611 
7612 #undef  __FUNCT__
7613 #define __FUNCT__ "TSClone"
7614 /*@C
7615   TSClone - This function clones a time step object.
7616 
7617   Collective on MPI_Comm
7618 
7619   Input Parameter:
7620 . tsin    - The input TS
7621 
7622   Output Parameter:
7623 . tsout   - The output TS (cloned)
7624 
7625   Notes:
7626   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.
7627 
7628   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);
7629 
7630   Level: developer
7631 
7632 .keywords: TS, clone
7633 .seealso: TSCreate(), TSSetType(), TSSetUp(), TSDestroy(), TSSetProblemType()
7634 @*/
7635 PetscErrorCode  TSClone(TS tsin, TS *tsout)
7636 {
7637   TS             t;
7638   PetscErrorCode ierr;
7639   SNES           snes_start;
7640   DM             dm;
7641   TSType         type;
7642 
7643   PetscFunctionBegin;
7644   PetscValidPointer(tsin,1);
7645   *tsout = NULL;
7646 
7647   ierr = PetscHeaderCreate(t, TS_CLASSID, "TS", "Time stepping", "TS", PetscObjectComm((PetscObject)tsin), TSDestroy, TSView);CHKERRQ(ierr);
7648 
7649   /* General TS description */
7650   t->numbermonitors    = 0;
7651   t->setupcalled       = 0;
7652   t->ksp_its           = 0;
7653   t->snes_its          = 0;
7654   t->nwork             = 0;
7655   t->rhsjacobian.time  = -1e20;
7656   t->rhsjacobian.scale = 1.;
7657   t->ijacobian.shift   = 1.;
7658 
7659   ierr = TSGetSNES(tsin,&snes_start);CHKERRQ(ierr);
7660   ierr = TSSetSNES(t,snes_start);CHKERRQ(ierr);
7661 
7662   ierr = TSGetDM(tsin,&dm);CHKERRQ(ierr);
7663   ierr = TSSetDM(t,dm);CHKERRQ(ierr);
7664 
7665   t->adapt = tsin->adapt;
7666   ierr = PetscObjectReference((PetscObject)t->adapt);CHKERRQ(ierr);
7667 
7668   t->problem_type      = tsin->problem_type;
7669   t->ptime             = tsin->ptime;
7670   t->time_step         = tsin->time_step;
7671   t->max_time          = tsin->max_time;
7672   t->steps             = tsin->steps;
7673   t->max_steps         = tsin->max_steps;
7674   t->equation_type     = tsin->equation_type;
7675   t->atol              = tsin->atol;
7676   t->rtol              = tsin->rtol;
7677   t->max_snes_failures = tsin->max_snes_failures;
7678   t->max_reject        = tsin->max_reject;
7679   t->errorifstepfailed = tsin->errorifstepfailed;
7680 
7681   ierr = TSGetType(tsin,&type);CHKERRQ(ierr);
7682   ierr = TSSetType(t,type);CHKERRQ(ierr);
7683 
7684   t->vec_sol           = NULL;
7685 
7686   t->cfltime          = tsin->cfltime;
7687   t->cfltime_local    = tsin->cfltime_local;
7688   t->exact_final_time = tsin->exact_final_time;
7689 
7690   ierr = PetscMemcpy(t->ops,tsin->ops,sizeof(struct _TSOps));CHKERRQ(ierr);
7691 
7692   if (((PetscObject)tsin)->fortran_func_pointers) {
7693     PetscInt i;
7694     ierr = PetscMalloc((10)*sizeof(void(*)(void)),&((PetscObject)t)->fortran_func_pointers);CHKERRQ(ierr);
7695     for (i=0; i<10; i++) {
7696       ((PetscObject)t)->fortran_func_pointers[i] = ((PetscObject)tsin)->fortran_func_pointers[i];
7697     }
7698   }
7699   *tsout = t;
7700   PetscFunctionReturn(0);
7701 }
7702