1 /* -----------------------------------------------------------------
2  * Programmer(s): Radu Serban @ LLNL
3  * -----------------------------------------------------------------
4  * SUNDIALS Copyright Start
5  * Copyright (c) 2002-2020, Lawrence Livermore National Security
6  * and Southern Methodist University.
7  * All rights reserved.
8  *
9  * See the top-level LICENSE and NOTICE files for details.
10  *
11  * SPDX-License-Identifier: BSD-3-Clause
12  * SUNDIALS Copyright End
13  * -----------------------------------------------------------------
14  * Implementation header file for the main CVODES integrator.
15  * -----------------------------------------------------------------*/
16 
17 #ifndef _CVODES_IMPL_H
18 #define _CVODES_IMPL_H
19 
20 #include <stdarg.h>
21 
22 #include <cvodes/cvodes.h>
23 #include <sundials/sundials_nvector.h>
24 #include <sundials/sundials_types.h>
25 
26 #ifdef __cplusplus  /* wrapper to enable C++ usage */
27 extern "C" {
28 #endif
29 
30 /*
31  * =================================================================
32  *   I N T E R N A L   C V O D E S   C O N S T A N T S
33  * =================================================================
34  */
35 
36 /* Basic CVODES constants */
37 
38 #define ADAMS_Q_MAX 12      /* max value of q for lmm == ADAMS    */
39 #define BDF_Q_MAX    5      /* max value of q for lmm == BDF      */
40 #define Q_MAX  ADAMS_Q_MAX  /* max value of q for either lmm      */
41 #define L_MAX  (Q_MAX+1)    /* max value of L for either lmm      */
42 #define NUM_TESTS    5      /* number of error test quantities    */
43 
44 #define HMIN_DEFAULT     RCONST(0.0)    /* hmin default value     */
45 #define HMAX_INV_DEFAULT RCONST(0.0)    /* hmax_inv default value */
46 #define MXHNIL_DEFAULT   10             /* mxhnil default value   */
47 #define MXSTEP_DEFAULT   500            /* mxstep default value   */
48 
49 /* Return values for lower level routines used by CVode and functions
50    provided to the nonlinear solver */
51 
52 #define RHSFUNC_RECVR    +9
53 #define SRHSFUNC_RECVR   +12
54 
55 /* nonlinear solver constants
56    NLS_MAXCOR  maximum no. of corrector iterations for the nonlinear solver
57    CRDOWN      constant used in the estimation of the convergence rate (crate)
58                of the iterates for the nonlinear equation
59    RDIV        declare divergence if ratio del/delp > RDIV
60 */
61 #define NLS_MAXCOR 3
62 #define CRDOWN     RCONST(0.3)
63 #define RDIV       RCONST(2.0)
64 
65 /*
66  * =================================================================
67  *   F O R W A R D   P O I N T E R   R E F E R E N C E S
68  * =================================================================
69  */
70 
71 typedef struct CVadjMemRec  *CVadjMem;
72 typedef struct CkpntMemRec  *CkpntMem;
73 typedef struct DtpntMemRec  *DtpntMem;
74 typedef struct CVodeBMemRec *CVodeBMem;
75 
76 /*
77  * =================================================================
78  *   M A I N    I N T E G R A T O R    M E M O R Y    B L O C K
79  * =================================================================
80  */
81 
82 
83 /*
84  * -----------------------------------------------------------------
85  * Types: struct CVodeMemRec, CVodeMem
86  * -----------------------------------------------------------------
87  * The type CVodeMem is type pointer to struct CVodeMemRec.
88  * This structure contains fields to keep track of problem state.
89  * -----------------------------------------------------------------
90  */
91 
92 typedef struct CVodeMemRec {
93 
94   realtype cv_uround;         /* machine unit roundoff                         */
95 
96   /*--------------------------
97     Problem Specification Data
98     --------------------------*/
99 
100   CVRhsFn cv_f;               /* y' = f(t,y(t))                                */
101   void *cv_user_data;         /* user pointer passed to f                      */
102 
103   int cv_lmm;                 /* lmm = ADAMS or BDF                            */
104 
105   int cv_itol;                /* itol = CV_SS, CV_SV, or CV_WF, or CV_NN       */
106   realtype cv_reltol;         /* relative tolerance                            */
107   realtype cv_Sabstol;        /* scalar absolute tolerance                     */
108   N_Vector cv_Vabstol;        /* vector absolute tolerance                     */
109   booleantype cv_atolmin0;    /* flag indicating that min(abstol) = 0          */
110   booleantype cv_user_efun;   /* SUNTRUE if user sets efun                     */
111   CVEwtFn cv_efun;            /* function to set ewt                           */
112   void *cv_e_data;            /* user pointer passed to efun                   */
113 
114   booleantype cv_constraintsSet; /* constraints vector present:
115                                     do constraints calc                        */
116 
117   /*-----------------------
118     Quadrature Related Data
119     -----------------------*/
120 
121   booleantype cv_quadr;       /* SUNTRUE if integrating quadratures            */
122 
123   CVQuadRhsFn cv_fQ;          /* q' = fQ(t, y(t))                              */
124 
125   booleantype cv_errconQ;     /* SUNTRUE if quadrs. are included in error test */
126 
127   int cv_itolQ;               /* itolQ = CV_SS or CV_SV                        */
128   realtype cv_reltolQ;        /* relative tolerance for quadratures            */
129   realtype cv_SabstolQ;       /* scalar absolute tolerance for quadratures     */
130   N_Vector cv_VabstolQ;       /* vector absolute tolerance for quadratures     */
131   booleantype cv_atolQmin0;   /* flag indicating that min(abstolQ) = 0         */
132 
133   /*------------------------
134     Sensitivity Related Data
135     ------------------------*/
136 
137   booleantype cv_sensi;       /* SUNTRUE if computing sensitivities           */
138 
139   int cv_Ns;                  /* Number of sensitivities                      */
140 
141   int cv_ism;                 /* ism = SIMULTANEOUS or STAGGERED              */
142 
143   CVSensRhsFn cv_fS;          /* fS = (df/dy)*yS + (df/dp)                    */
144   CVSensRhs1Fn cv_fS1;        /* fS1 = (df/dy)*yS_i + (df/dp)                 */
145   void *cv_fS_data;           /* data pointer passed to fS                    */
146   booleantype cv_fSDQ;        /* SUNTRUE if using internal DQ functions       */
147   int cv_ifS;                 /* ifS = ALLSENS or ONESENS                     */
148 
149   realtype *cv_p;             /* parameters in f(t,y,p)                       */
150   realtype *cv_pbar;          /* scale factors for parameters                 */
151   int *cv_plist;              /* list of sensitivities                        */
152   int cv_DQtype;              /* central/forward finite differences           */
153   realtype cv_DQrhomax;       /* cut-off value for separate/simultaneous FD   */
154 
155   booleantype cv_errconS;     /* SUNTRUE if yS are considered in err. control */
156 
157   int cv_itolS;
158   realtype cv_reltolS;        /* relative tolerance for sensitivities         */
159   realtype *cv_SabstolS;      /* scalar absolute tolerances for sensi.        */
160   N_Vector *cv_VabstolS;      /* vector absolute tolerances for sensi.        */
161   booleantype *cv_atolSmin0;  /* flags indicating that min(abstolS[i]) = 0    */
162 
163   /*-----------------------------------
164     Quadrature Sensitivity Related Data
165     -----------------------------------*/
166 
167   booleantype cv_quadr_sensi; /* SUNTRUE if computing sensitivties of quadrs. */
168 
169   CVQuadSensRhsFn cv_fQS;     /* fQS = (dfQ/dy)*yS + (dfQ/dp)                 */
170   void *cv_fQS_data;          /* data pointer passed to fQS                   */
171   booleantype cv_fQSDQ;       /* SUNTRUE if using internal DQ functions       */
172 
173   booleantype cv_errconQS;    /* SUNTRUE if yQS are considered in err. con.   */
174 
175   int cv_itolQS;
176   realtype cv_reltolQS;       /* relative tolerance for yQS                   */
177   realtype *cv_SabstolQS;     /* scalar absolute tolerances for yQS           */
178   N_Vector *cv_VabstolQS;     /* vector absolute tolerances for yQS           */
179   booleantype *cv_atolQSmin0; /* flags indicating that min(abstolQS[i]) = 0   */
180 
181   /*-----------------------
182     Nordsieck History Array
183     -----------------------*/
184 
185   N_Vector cv_zn[L_MAX];      /* Nordsieck array, of size N x (q+1).
186                                  zn[j] is a vector of length N (j=0,...,q)
187                                  zn[j] = [1/factorial(j)] * h^j *
188                                  (jth derivative of the interpolating poly.)  */
189 
190   /*-------------------
191     Vectors of length N
192     -------------------*/
193 
194   N_Vector cv_ewt;            /* error weight vector                          */
195   N_Vector cv_y;              /* y is used as temporary storage by the solver.
196                                  The memory is provided by the user to CVode
197                                  where the vector is named yout.              */
198   N_Vector cv_acor;           /* In the context of the solution of the
199                                  nonlinear equation, acor = y_n(m) - y_n(0).
200                                  On return, this vector is scaled to give
201                                  the estimated local error in y.              */
202   N_Vector cv_tempv;          /* temporary storage vector                     */
203   N_Vector cv_ftemp;          /* temporary storage vector                     */
204   N_Vector cv_vtemp1;         /* temporary storage vector                     */
205   N_Vector cv_vtemp2;         /* temporary storage vector                     */
206   N_Vector cv_vtemp3;         /* temporary storage vector                     */
207 
208   N_Vector cv_constraints;    /* vector of inequality constraint options      */
209 
210   /*--------------------------
211     Quadrature Related Vectors
212     --------------------------*/
213 
214   N_Vector cv_znQ[L_MAX];     /* Nordsieck arrays for quadratures             */
215   N_Vector cv_ewtQ;           /* error weight vector for quadratures          */
216   N_Vector cv_yQ;             /* Unlike y, yQ is not allocated by the user    */
217   N_Vector cv_acorQ;          /* acorQ = yQ_n(m) - yQ_n(0)                    */
218   N_Vector cv_tempvQ;         /* temporary storage vector (~ tempv)           */
219 
220   /*---------------------------
221     Sensitivity Related Vectors
222     ---------------------------*/
223 
224   N_Vector *cv_znS[L_MAX];    /* Nordsieck arrays for sensitivities           */
225   N_Vector *cv_ewtS;          /* error weight vectors for sensitivities       */
226   N_Vector *cv_yS;            /* yS=yS0 (allocated by the user)               */
227   N_Vector *cv_acorS;         /* acorS = yS_n(m) - yS_n(0)                    */
228   N_Vector *cv_tempvS;        /* temporary storage vector (~ tempv)           */
229   N_Vector *cv_ftempS;        /* temporary storage vector (~ ftemp)           */
230 
231   booleantype cv_stgr1alloc;  /* Did we allocate ncfS1, ncfnS1, and nniS1?    */
232 
233   /*--------------------------------------
234     Quadrature Sensitivity Related Vectors
235     --------------------------------------*/
236 
237   N_Vector *cv_znQS[L_MAX];   /* Nordsieck arrays for quadr. sensitivities    */
238   N_Vector *cv_ewtQS;         /* error weight vectors for sensitivities       */
239   N_Vector *cv_yQS;           /* Unlike yS, yQS is not allocated by the user  */
240   N_Vector *cv_acorQS;        /* acorQS = yQS_n(m) - yQS_n(0)                 */
241   N_Vector *cv_tempvQS;       /* temporary storage vector (~ tempv)           */
242   N_Vector cv_ftempQ;         /* temporary storage vector (~ ftemp)           */
243 
244   /*-----------------
245     Tstop information
246     -----------------*/
247 
248   booleantype cv_tstopset;
249   realtype cv_tstop;
250 
251   /*---------
252     Step Data
253     ---------*/
254 
255   int cv_q;                    /* current order                               */
256   int cv_qprime;               /* order to be used on the next step
257                                 * qprime = q-1, q, or q+1                     */
258   int cv_next_q;               /* order to be used on the next step           */
259   int cv_qwait;                /* number of internal steps to wait before
260                                 * considering a change in q                   */
261   int cv_L;                    /* L = q + 1                                   */
262 
263   realtype cv_hin;
264   realtype cv_h;               /* current step size                           */
265   realtype cv_hprime;          /* step size to be used on the next step       */
266   realtype cv_next_h;          /* step size to be used on the next step       */
267   realtype cv_eta;             /* eta = hprime / h                            */
268   realtype cv_hscale;          /* value of h used in zn                       */
269   realtype cv_tn;              /* current internal value of t                 */
270   realtype cv_tretlast;        /* last value of t returned                    */
271 
272   realtype cv_tau[L_MAX+1];    /* array of previous q+1 successful step
273                                 * sizes indexed from 1 to q+1                 */
274   realtype cv_tq[NUM_TESTS+1]; /* array of test quantities indexed from
275                                 * 1 to NUM_TESTS(=5)                          */
276   realtype cv_l[L_MAX];        /* coefficients of l(x) (degree q poly)        */
277 
278   realtype cv_rl1;             /* the scalar 1/l[1]                           */
279   realtype cv_gamma;           /* gamma = h * rl1                             */
280   realtype cv_gammap;          /* gamma at the last setup call                */
281   realtype cv_gamrat;          /* gamma / gammap                              */
282 
283   realtype cv_crate;           /* est. corrector conv. rate in Nls            */
284   realtype cv_crateS;          /* est. corrector conv. rate in NlsStgr        */
285   realtype cv_delp;            /* norm of previous nonlinear solver update    */
286   realtype cv_acnrm;           /* | acor |                                    */
287   booleantype cv_acnrmcur;     /* is | acor | current?                        */
288   realtype cv_acnrmQ;          /* | acorQ |                                   */
289   realtype cv_acnrmS;          /* | acorS |                                   */
290   booleantype cv_acnrmScur;    /* is | acorS | current?                       */
291   realtype cv_acnrmQS;         /* | acorQS |                                  */
292   realtype cv_nlscoef;         /* coeficient in nonlinear convergence test    */
293   int  *cv_ncfS1;              /* Array of Ns local counters for conv.
294                                 * failures (used in CVStep for STAGGERED1)    */
295 
296   /*------
297     Limits
298     ------*/
299 
300   int cv_qmax;             /* q <= qmax                                       */
301   long int cv_mxstep;      /* maximum number of internal steps for one
302 			      user call                                       */
303   int cv_mxhnil;           /* max. number of warning messages issued to the
304 			      user that t + h == t for the next internal step */
305   int cv_maxnef;           /* maximum number of error test failures           */
306   int cv_maxncf;           /* maximum number of nonlinear conv. failures      */
307 
308   realtype cv_hmin;        /* |h| >= hmin                                     */
309   realtype cv_hmax_inv;    /* |h| <= 1/hmax_inv                               */
310   realtype cv_etamax;      /* eta <= etamax                                   */
311 
312   /*----------
313     Counters
314     ----------*/
315 
316   long int cv_nst;         /* number of internal steps taken                  */
317 
318   long int cv_nfe;         /* number of f calls                               */
319   long int cv_nfQe;        /* number of fQ calls                              */
320   long int cv_nfSe;        /* number of fS calls                              */
321   long int cv_nfeS;        /* number of f calls from sensi DQ                 */
322   long int cv_nfQSe;       /* number of fQS calls                             */
323   long int cv_nfQeS;       /* number of fQ calls from sensi DQ                */
324 
325 
326   long int cv_ncfn;        /* number of corrector convergence failures        */
327   long int cv_ncfnS;       /* number of total sensi. corr. conv. failures     */
328   long int *cv_ncfnS1;     /* number of sensi. corrector conv. failures       */
329 
330   long int cv_nni;         /* number of nonlinear iterations performed        */
331   long int cv_nniS;        /* number of total sensi. nonlinear iterations     */
332   long int *cv_nniS1;      /* number of sensi. nonlinear iterations           */
333 
334   long int cv_netf;        /* number of error test failures                   */
335   long int cv_netfQ;       /* number of quadr. error test failures            */
336   long int cv_netfS;       /* number of sensi. error test failures            */
337   long int cv_netfQS;      /* number of quadr. sensi. error test failures     */
338 
339   long int cv_nsetups;     /* number of setup calls                           */
340   long int cv_nsetupsS;    /* number of setup calls due to sensitivities      */
341 
342   int cv_nhnil;            /* number of messages issued to the user that
343 			      t + h == t for the next iternal step            */
344 
345   /*-----------------------------
346     Space requirements for CVODES
347     -----------------------------*/
348 
349   sunindextype cv_lrw1;        /* no. of realtype words in 1 N_Vector y           */
350   sunindextype cv_liw1;        /* no. of integer words in 1 N_Vector y            */
351   sunindextype cv_lrw1Q;       /* no. of realtype words in 1 N_Vector yQ          */
352   sunindextype cv_liw1Q;       /* no. of integer words in 1 N_Vector yQ           */
353   long int cv_lrw;             /* no. of realtype words in CVODES work vectors    */
354   long int cv_liw;             /* no. of integer words in CVODES work vectors     */
355 
356   /*----------------
357     Step size ratios
358     ----------------*/
359 
360   realtype cv_etaqm1;      /* ratio of new to old h for order q-1             */
361   realtype cv_etaq;        /* ratio of new to old h for order q               */
362   realtype cv_etaqp1;      /* ratio of new to old h for order q+1             */
363 
364   /*---------------------
365     Nonlinear Solver Data
366     ---------------------*/
367 
368   SUNNonlinearSolver NLS;      /* nonlinear solver object for ODE solves */
369   booleantype ownNLS;          /* flag indicating NLS ownership          */
370 
371   SUNNonlinearSolver NLSsim;   /* NLS object for the simultaneous corrector */
372   booleantype ownNLSsim;       /* flag indicating NLS ownership             */
373 
374   SUNNonlinearSolver NLSstg;   /* NLS object for the staggered corrector */
375   booleantype ownNLSstg;       /* flag indicating NLS ownership          */
376 
377   SUNNonlinearSolver NLSstg1;  /* NLS object for the staggered1 corrector */
378   booleantype ownNLSstg1;      /* flag indicating NLS ownership           */
379   int sens_solve_idx;          /* index of the current staggered1 solve   */
380   long int nnip;               /* previous total number of iterations     */
381 
382   booleantype sens_solve;      /* flag indicating if the current solve is a
383                                   staggered or staggered1 sensitivity solve */
384   int convfail;                /* flag to indicate when a Jacobian update may
385                                   be needed */
386 
387   /* The following vectors are NVector wrappers for use with the simultaneous
388      and staggered corrector methods:
389 
390        Simultaneous: zn0Sim  = [cv_zn[0], cv_znS[0]]
391                      ycorSim = [cv_acor,  cv_acorS]
392                      ewtSim  = [cv_ewt,   cv_ewtS]
393 
394        Staggered: zn0Stg  = cv_znS[0]
395                   ycorStg = cv_acorS
396                   ewtStg  = cv_ewtS
397   */
398   N_Vector zn0Sim, ycorSim, ewtSim;
399   N_Vector zn0Stg, ycorStg, ewtStg;
400 
401   /* flags indicating if vector wrappers for the simultaneous and staggered
402      correctors have been allocated */
403   booleantype simMallocDone;
404   booleantype stgMallocDone;
405 
406 
407   /*------------------
408     Linear Solver Data
409     ------------------*/
410 
411   /* Linear Solver functions to be called */
412 
413   int (*cv_linit)(struct CVodeMemRec *cv_mem);
414 
415   int (*cv_lsetup)(struct CVodeMemRec *cv_mem, int convfail,
416 		   N_Vector ypred, N_Vector fpred, booleantype *jcurPtr,
417 		   N_Vector vtemp1, N_Vector vtemp2, N_Vector vtemp3);
418 
419   int (*cv_lsolve)(struct CVodeMemRec *cv_mem, N_Vector b, N_Vector weight,
420 		   N_Vector ycur, N_Vector fcur);
421 
422   int (*cv_lfree)(struct CVodeMemRec *cv_mem);
423 
424   /* Linear Solver specific memory */
425 
426   void *cv_lmem;
427 
428   /* Flag to request a call to the setup routine */
429 
430   booleantype cv_forceSetup;
431 
432   /*------------
433     Saved Values
434     ------------*/
435 
436   int cv_qu;                   /* last successful q value used                */
437   long int cv_nstlp;           /* step number of last setup call              */
438   realtype cv_h0u;             /* actual initial stepsize                     */
439   realtype cv_hu;              /* last successful h value used                */
440   realtype cv_saved_tq5;       /* saved value of tq[5]                        */
441   booleantype cv_jcur;         /* is Jacobian info for linear solver current? */
442   int cv_convfail;             /* flag storing previous solver failure mode   */
443   realtype cv_tolsf;           /* tolerance scale factor                      */
444   int cv_qmax_alloc;           /* qmax used when allocating mem               */
445   int cv_qmax_allocQ;          /* qmax used when allocating quad. mem         */
446   int cv_qmax_allocS;          /* qmax used when allocating sensi. mem        */
447   int cv_qmax_allocQS;         /* qmax used when allocating quad. sensi. mem  */
448   int cv_indx_acor;            /* index of zn vector in which acor is saved   */
449 
450   /*--------------------------------------------------------------------
451     Flags turned ON by CVodeInit, CVodeSensMalloc, and CVodeQuadMalloc
452     and read by CVodeReInit, CVodeSensReInit, and CVodeQuadReInit
453     --------------------------------------------------------------------*/
454 
455   booleantype cv_VabstolMallocDone;
456   booleantype cv_MallocDone;
457   booleantype cv_constraintsMallocDone;
458 
459   booleantype cv_VabstolQMallocDone;
460   booleantype cv_QuadMallocDone;
461 
462   booleantype cv_VabstolSMallocDone;
463   booleantype cv_SabstolSMallocDone;
464   booleantype cv_SensMallocDone;
465 
466   booleantype cv_VabstolQSMallocDone;
467   booleantype cv_SabstolQSMallocDone;
468   booleantype cv_QuadSensMallocDone;
469 
470   /*-------------------------------------------
471     Error handler function and error ouput file
472     -------------------------------------------*/
473 
474   CVErrHandlerFn cv_ehfun;    /* Error messages are handled by ehfun          */
475   void *cv_eh_data;           /* dats pointer passed to ehfun                 */
476   FILE *cv_errfp;             /* CVODES error messages are sent to errfp      */
477 
478   /*-------------------------
479     Stability Limit Detection
480     -------------------------*/
481 
482   booleantype cv_sldeton;     /* Is Stability Limit Detection on?             */
483   realtype cv_ssdat[6][4];    /* scaled data array for STALD                  */
484   int cv_nscon;               /* counter for STALD method                     */
485   long int cv_nor;            /* counter for number of order reductions       */
486 
487   /*----------------
488     Rootfinding Data
489     ----------------*/
490 
491   CVRootFn cv_gfun;        /* Function g for roots sought                     */
492   int cv_nrtfn;            /* number of components of g                       */
493   int *cv_iroots;          /* array for root information                      */
494   int *cv_rootdir;         /* array specifying direction of zero-crossing     */
495   realtype cv_tlo;         /* nearest endpoint of interval in root search     */
496   realtype cv_thi;         /* farthest endpoint of interval in root search    */
497   realtype cv_trout;       /* t value returned by rootfinding routine         */
498   realtype *cv_glo;        /* saved array of g values at t = tlo              */
499   realtype *cv_ghi;        /* saved array of g values at t = thi              */
500   realtype *cv_grout;      /* array of g values at t = trout                  */
501   realtype cv_toutc;       /* copy of tout (if NORMAL mode)                   */
502   realtype cv_ttol;        /* tolerance on root location trout                */
503   int cv_taskc;            /* copy of parameter itask                         */
504   int cv_irfnd;            /* flag showing whether last step had a root       */
505   long int cv_nge;         /* counter for g evaluations                       */
506   booleantype *cv_gactive; /* array with active/inactive event functions      */
507   int cv_mxgnull;          /* number of warning messages about possible g==0  */
508 
509   /*-----------------------
510     Fused Vector Operations
511     -----------------------*/
512 
513   realtype* cv_cvals; /* array of scalars */
514   N_Vector* cv_Xvecs; /* array of vectors */
515   N_Vector* cv_Zvecs; /* array of vectors */
516 
517   /*------------------------
518     Adjoint sensitivity data
519     ------------------------*/
520 
521   booleantype cv_adj;             /* SUNTRUE if performing ASA                */
522 
523   struct CVadjMemRec *cv_adj_mem; /* Pointer to adjoint memory structure      */
524 
525   booleantype cv_adjMallocDone;
526 
527 } *CVodeMem;
528 
529 
530 /*
531  * =================================================================
532  *   A D J O I N T   M O D U L E    M E M O R Y    B L O C K
533  * =================================================================
534  */
535 
536 /*
537  * -----------------------------------------------------------------
538  * Types : struct CkpntMemRec, CkpntMem
539  * -----------------------------------------------------------------
540  * The type CkpntMem is type pointer to struct CkpntMemRec.
541  * This structure contains fields to store all information at a
542  * check point that is needed to 'hot' start cvodes.
543  * -----------------------------------------------------------------
544  */
545 
546 struct CkpntMemRec {
547 
548   /* Integration limits */
549   realtype ck_t0;
550   realtype ck_t1;
551 
552   /* Nordsieck History Array */
553   N_Vector ck_zn[L_MAX];
554 
555   /* Do we need to carry quadratures? */
556   booleantype ck_quadr;
557 
558   /* Nordsieck History Array for quadratures */
559   N_Vector ck_znQ[L_MAX];
560 
561   /* Do we need to carry sensitivities? */
562   booleantype ck_sensi;
563 
564   /* number of sensitivities */
565   int ck_Ns;
566 
567   /* Nordsieck History Array for sensitivities */
568   N_Vector *ck_znS[L_MAX];
569 
570   /* Do we need to carry quadrature sensitivities? */
571   booleantype ck_quadr_sensi;
572 
573   /* Nordsieck History Array for quadrature sensitivities */
574   N_Vector *ck_znQS[L_MAX];
575 
576   /* Was ck_zn[qmax] allocated?
577      ck_zqm = 0    - no
578      ck_zqm = qmax - yes      */
579   int ck_zqm;
580 
581   /* Step data */
582   long int ck_nst;
583   realtype ck_tretlast;
584   int      ck_q;
585   int      ck_qprime;
586   int      ck_qwait;
587   int      ck_L;
588   realtype ck_gammap;
589   realtype ck_h;
590   realtype ck_hprime;
591   realtype ck_hscale;
592   realtype ck_eta;
593   realtype ck_etamax;
594   realtype ck_tau[L_MAX+1];
595   realtype ck_tq[NUM_TESTS+1];
596   realtype ck_l[L_MAX];
597 
598   /* Saved values */
599   realtype ck_saved_tq5;
600 
601   /* Pointer to next structure in list */
602   struct CkpntMemRec *ck_next;
603 
604 };
605 
606 /*
607  * -----------------------------------------------------------------
608  * Types for functions provided by an interpolation module
609  * -----------------------------------------------------------------
610  * cvaIMMallocFn: Type for a function that initializes the content
611  *                field of the structures in the dt array
612  * cvaIMFreeFn:   Type for a function that deallocates the content
613  *                field of the structures in the dt array
614  * cvaIMGetYFn:   Type for a function that returns the
615  *                interpolated forward solution.
616  * cvaIMStorePnt: Type for a function that stores a new
617  *                point in the structure d
618  * -----------------------------------------------------------------
619  */
620 
621 typedef booleantype (*cvaIMMallocFn)(CVodeMem cv_mem);
622 typedef void (*cvaIMFreeFn)(CVodeMem cv_mem);
623 typedef int (*cvaIMGetYFn)(CVodeMem cv_mem, realtype t, N_Vector y, N_Vector *yS);
624 typedef int (*cvaIMStorePntFn)(CVodeMem cv_mem, DtpntMem d);
625 
626 /*
627  * -----------------------------------------------------------------
628  * Type : struct DtpntMemRec
629  * -----------------------------------------------------------------
630  * This structure contains fields to store all information at a
631  * data point that is needed to interpolate solution of forward
632  * simulations. Its content field depends on IMtype.
633  * -----------------------------------------------------------------
634  */
635 
636 struct DtpntMemRec {
637   realtype t;    /* time */
638   void *content; /* IMtype-dependent content */
639 };
640 
641 /* Data for cubic Hermite interpolation */
642 typedef struct HermiteDataMemRec {
643   N_Vector y;
644   N_Vector yd;
645   N_Vector *yS;
646   N_Vector *ySd;
647 } *HermiteDataMem;
648 
649 /* Data for polynomial interpolation */
650 typedef struct PolynomialDataMemRec {
651   N_Vector y;
652   N_Vector *yS;
653   int order;
654 } *PolynomialDataMem;
655 
656 
657 /*
658  * -----------------------------------------------------------------
659  * Type : struct CVodeBMemRec
660  * -----------------------------------------------------------------
661  * The type CVodeBMem is a pointer to a structure which stores all
662  * information for ONE backward problem.
663  * The CVadjMem structure contains a linked list of CVodeBMem pointers
664  * -----------------------------------------------------------------
665  */
666 
667 struct CVodeBMemRec {
668 
669   /* Index of this backward problem */
670   int cv_index;
671 
672   /* Time at which the backward problem is initialized */
673   realtype cv_t0;
674 
675   /* CVODES memory for this backward problem */
676   CVodeMem cv_mem;
677 
678   /* Flags to indicate that this backward problem's RHS or quad RHS
679    * require forward sensitivities */
680   booleantype cv_f_withSensi;
681   booleantype cv_fQ_withSensi;
682 
683   /* Right hand side function for backward run */
684   CVRhsFnB cv_f;
685   CVRhsFnBS cv_fs;
686 
687   /* Right hand side quadrature function for backward run */
688   CVQuadRhsFnB cv_fQ;
689   CVQuadRhsFnBS cv_fQs;
690 
691   /* User user_data */
692   void *cv_user_data;
693 
694   /* Memory block for a linear solver's interface to CVODEA */
695   void *cv_lmem;
696 
697   /* Function to free any memory allocated by the linear solver */
698   int (*cv_lfree)(CVodeBMem cvB_mem);
699 
700   /* Memory block for a preconditioner's module interface to CVODEA */
701   void *cv_pmem;
702 
703   /* Function to free any memory allocated by the preconditioner module */
704   int (*cv_pfree)(CVodeBMem cvB_mem);
705 
706   /* Time at which to extract solution / quadratures */
707   realtype cv_tout;
708 
709   /* Workspace Nvector */
710   N_Vector cv_y;
711 
712   /* Pointer to next structure in list */
713   struct CVodeBMemRec *cv_next;
714 
715 };
716 
717 /*
718  * -----------------------------------------------------------------
719  * Type : struct CVadjMemRec
720  * -----------------------------------------------------------------
721  * The type CVadjMem is type pointer to struct CVadjMemRec.
722  * This structure contins fields to store all information
723  * necessary for adjoint sensitivity analysis.
724  * -----------------------------------------------------------------
725  */
726 
727 struct CVadjMemRec {
728 
729   /* --------------------
730    * Forward problem data
731    * -------------------- */
732 
733   /* Integration interval */
734   realtype ca_tinitial, ca_tfinal;
735 
736   /* Flag for first call to CVodeF */
737   booleantype ca_firstCVodeFcall;
738 
739   /* Flag if CVodeF was called with TSTOP */
740   booleantype ca_tstopCVodeFcall;
741   realtype ca_tstopCVodeF;
742 
743   /* Flag if CVodeF was called in CV_NORMAL_MODE and encountered a
744      root after tout */
745   booleantype ca_rootret;
746   realtype ca_troot;
747 
748   /* ----------------------
749    * Backward problems data
750    * ---------------------- */
751 
752   /* Storage for backward problems */
753   struct CVodeBMemRec *cvB_mem;
754 
755   /* Number of backward problems */
756   int ca_nbckpbs;
757 
758   /* Address of current backward problem */
759   struct CVodeBMemRec *ca_bckpbCrt;
760 
761   /* Flag for first call to CVodeB */
762   booleantype ca_firstCVodeBcall;
763 
764   /* ----------------
765    * Check point data
766    * ---------------- */
767 
768   /* Storage for check point information */
769   struct CkpntMemRec *ck_mem;
770 
771   /* Number of check points */
772   int ca_nckpnts;
773 
774   /* address of the check point structure for which data is available */
775   struct CkpntMemRec *ca_ckpntData;
776 
777   /* ------------------
778    * Interpolation data
779    * ------------------ */
780 
781   /* Number of steps between 2 check points */
782   long int ca_nsteps;
783 
784   /* Last index used in CVAfindIndex */
785   long int ca_ilast;
786 
787   /* Storage for data from forward runs */
788   struct DtpntMemRec **dt_mem;
789 
790   /* Actual number of data points in dt_mem (typically np=nsteps+1) */
791   long int ca_np;
792 
793   /* Interpolation type */
794   int ca_IMtype;
795 
796   /* Functions set by the interpolation module */
797   cvaIMMallocFn   ca_IMmalloc;
798   cvaIMFreeFn     ca_IMfree;
799   cvaIMStorePntFn ca_IMstore; /* store a new interpolation point */
800   cvaIMGetYFn     ca_IMget;   /* interpolate forward solution    */
801 
802   /* Flags controlling the interpolation module */
803   booleantype ca_IMmallocDone;   /* IM initialized? */
804   booleantype ca_IMnewData;      /* new data available in dt_mem?*/
805   booleantype ca_IMstoreSensi;   /* store sensitivities? */
806   booleantype ca_IMinterpSensi;  /* interpolate sensitivities? */
807 
808   /* Workspace for the interpolation module */
809   N_Vector ca_Y[L_MAX];     /* pointers to zn[i] */
810   N_Vector *ca_YS[L_MAX];   /* pointers to znS[i] */
811   realtype ca_T[L_MAX];
812 
813   /* -------------------------------
814    * Workspace for wrapper functions
815    * ------------------------------- */
816 
817   N_Vector ca_ytmp;
818 
819   N_Vector *ca_yStmp;
820 
821 };
822 
823 
824 /*
825  * =================================================================
826  *     I N T E R F A C E   T O    L I N E A R   S O L V E R S
827  * =================================================================
828  */
829 
830 /*
831  * -----------------------------------------------------------------
832  * Communication between CVODE and a CVODE Linear Solver
833  * -----------------------------------------------------------------
834  * convfail (input to cv_lsetup)
835  *
836  * CV_NO_FAILURES : Either this is the first cv_setup call for this
837  *                  step, or the local error test failed on the
838  *                  previous attempt at this step (but the nonlinear
839  *                  solver iteration converged).
840  *
841  * CV_FAIL_BAD_J  : This value is passed to cv_lsetup if
842  *
843  *                  (a) The previous nonlinear solver corrector iteration
844  *                      did not converge and the linear solver's
845  *                      setup routine indicated that its Jacobian-
846  *                      related data is not current
847  *                                   or
848  *                  (b) During the previous nonlinear solver corrector
849  *                      iteration, the linear solver's solve routine
850  *                      failed in a recoverable manner and the
851  *                      linear solver's setup routine indicated that
852  *                      its Jacobian-related data is not current.
853  *
854  * CV_FAIL_OTHER  : During the current internal step try, the
855  *                  previous nonlinear solver iteration failed to converge
856  *                  even though the linear solver was using current
857  *                  Jacobian-related data.
858  * -----------------------------------------------------------------
859  */
860 
861 /* Constants for convfail (input to cv_lsetup) */
862 
863 #define CV_NO_FAILURES 0
864 #define CV_FAIL_BAD_J  1
865 #define CV_FAIL_OTHER  2
866 
867 /*
868  * -----------------------------------------------------------------
869  * int (*cv_linit)(CVodeMem cv_mem);
870  * -----------------------------------------------------------------
871  * The purpose of cv_linit is to complete initializations for a
872  * specific linear solver, such as counters and statistics.
873  * An LInitFn should return 0 if it has successfully initialized the
874  * CVODE linear solver and a negative value otherwise.
875  * If an error does occur, an appropriate message should be sent to
876  * the error handler function.
877  * -----------------------------------------------------------------
878  */
879 
880 /*
881  * -----------------------------------------------------------------
882  * int (*cv_lsetup)(CVodeMem cv_mem, int convfail, N_Vector ypred,
883  *                 N_Vector fpred, booleantype *jcurPtr,
884  *                 N_Vector vtemp1, N_Vector vtemp2,
885  *                 N_Vector vtemp3);
886  * -----------------------------------------------------------------
887  * The job of cv_lsetup is to prepare the linear solver for
888  * subsequent calls to cv_lsolve. It may recompute Jacobian-
889  * related data is it deems necessary. Its parameters are as
890  * follows:
891  *
892  * cv_mem - problem memory pointer of type CVodeMem. See the
893  *          typedef earlier in this file.
894  *
895  * convfail - a flag to indicate any problem that occurred during
896  *            the solution of the nonlinear equation on the
897  *            current time step for which the linear solver is
898  *            being used. This flag can be used to help decide
899  *            whether the Jacobian data kept by a CVODE linear
900  *            solver needs to be updated or not.
901  *            Its possible values have been documented above.
902  *
903  * ypred - the predicted y vector for the current CVODE internal
904  *         step.
905  *
906  * fpred - f(tn, ypred).
907  *
908  * jcurPtr - a pointer to a boolean to be filled in by cv_lsetup.
909  *           The function should set *jcurPtr=SUNTRUE if its Jacobian
910  *           data is current after the call and should set
911  *           *jcurPtr=SUNFALSE if its Jacobian data is not current.
912  *           Note: If cv_lsetup calls for re-evaluation of
913  *           Jacobian data (based on convfail and CVODE state
914  *           data), it should return *jcurPtr=SUNTRUE always;
915  *           otherwise an infinite loop can result.
916  *
917  * vtemp1 - temporary N_Vector provided for use by cv_lsetup.
918  *
919  * vtemp3 - temporary N_Vector provided for use by cv_lsetup.
920  *
921  * vtemp3 - temporary N_Vector provided for use by cv_lsetup.
922  *
923  * The cv_lsetup routine should return 0 if successful, a positive
924  * value for a recoverable error, and a negative value for an
925  * unrecoverable error.
926  * -----------------------------------------------------------------
927  */
928 
929 /*
930  * -----------------------------------------------------------------
931  * int (*cv_lsolve)(CVodeMem cv_mem, N_Vector b, N_Vector weight,
932  *                  N_Vector ycur, N_Vector fcur);
933  * -----------------------------------------------------------------
934  * cv_lsolve must solve the linear equation P x = b, where
935  * P is some approximation to (I - gamma J), J = (df/dy)(tn,ycur)
936  * and the RHS vector b is input. The N-vector ycur contains
937  * the solver's current approximation to y(tn) and the vector
938  * fcur contains the N_Vector f(tn,ycur). The solution is to be
939  * returned in the vector b. cv_lsolve returns a positive value
940  * for a recoverable error and a negative value for an
941  * unrecoverable error. Success is indicated by a 0 return value.
942  * -----------------------------------------------------------------
943  */
944 
945 /*
946  * -----------------------------------------------------------------
947  * int (*cv_lfree)(CVodeMem cv_mem);
948  * -----------------------------------------------------------------
949  * cv_lfree should free up any memory allocated by the linear
950  * solver. This routine is called once a problem has been
951  * completed and the linear solver is no longer needed.  It should
952  * return 0 upon success, nonzero on failure.
953  * -----------------------------------------------------------------
954  */
955 
956 /*
957  * =================================================================
958  *   C V O D E S    I N T E R N A L   F U N C T I O N S
959  * =================================================================
960  */
961 
962 /* Norm functions */
963 
964 realtype cvSensNorm(CVodeMem cv_mem, N_Vector *xS, N_Vector *wS);
965 
966 realtype cvSensUpdateNorm(CVodeMem cv_mem, realtype old_nrm,
967                           N_Vector *xS, N_Vector *wS);
968 
969 
970 /* Prototype of internal ewtSet function */
971 
972 int cvEwtSet(N_Vector ycur, N_Vector weight, void *data);
973 
974 /* High level error handler */
975 
976 void cvProcessError(CVodeMem cv_mem,
977 		    int error_code, const char *module, const char *fname,
978 		    const char *msgfmt, ...);
979 
980 /* Prototype of internal errHandler function */
981 
982 void cvErrHandler(int error_code, const char *module, const char *function,
983 		  char *msg, void *data);
984 
985 /* Prototypes for internal sensitivity rhs wrappers */
986 
987 int cvSensRhsWrapper(CVodeMem cv_mem, realtype time,
988                      N_Vector ycur, N_Vector fcur,
989                      N_Vector *yScur, N_Vector *fScur,
990                      N_Vector temp1, N_Vector temp2);
991 
992 int cvSensRhs1Wrapper(CVodeMem cv_mem, realtype time,
993                       N_Vector ycur, N_Vector fcur,
994                       int is, N_Vector yScur, N_Vector fScur,
995                       N_Vector temp1, N_Vector temp2);
996 
997 /* Prototypes for internal sensitivity rhs DQ functions */
998 
999 int cvSensRhsInternalDQ(int Ns, realtype t,
1000                         N_Vector y, N_Vector ydot,
1001                         N_Vector *yS, N_Vector *ySdot,
1002                         void *fS_data,
1003                         N_Vector tempv, N_Vector ftemp);
1004 
1005 int cvSensRhs1InternalDQ(int Ns, realtype t,
1006                          N_Vector y, N_Vector ydot,
1007                          int is, N_Vector yS, N_Vector ySdot,
1008                          void *fS_data,
1009                          N_Vector tempv, N_Vector ftemp);
1010 
1011 /* Nonlinear solver functions */
1012 int cvNlsInit(CVodeMem cv_mem);
1013 int cvNlsInitSensSim(CVodeMem cv_mem);
1014 int cvNlsInitSensStg(CVodeMem cv_mem);
1015 int cvNlsInitSensStg1(CVodeMem cv_mem);
1016 
1017 /*
1018  * =================================================================
1019  *   C V O D E S    E R R O R    M E S S A G E S
1020  * =================================================================
1021  */
1022 
1023 #if defined(SUNDIALS_EXTENDED_PRECISION)
1024 
1025 #define MSG_TIME        "t = %Lg"
1026 #define MSG_TIME_H      "t = %Lg and h = %Lg"
1027 #define MSG_TIME_INT    "t = %Lg is not between tcur - hu = %Lg and tcur = %Lg."
1028 #define MSG_TIME_TOUT   "tout = %Lg"
1029 #define MSG_TIME_TSTOP  "tstop = %Lg"
1030 
1031 #elif defined(SUNDIALS_DOUBLE_PRECISION)
1032 
1033 #define MSG_TIME        "t = %lg"
1034 #define MSG_TIME_H      "t = %lg and h = %lg"
1035 #define MSG_TIME_INT    "t = %lg is not between tcur - hu = %lg and tcur = %lg."
1036 #define MSG_TIME_TOUT   "tout = %lg"
1037 #define MSG_TIME_TSTOP  "tstop = %lg"
1038 
1039 #else
1040 
1041 #define MSG_TIME        "t = %g"
1042 #define MSG_TIME_H      "t = %g and h = %g"
1043 #define MSG_TIME_INT    "t = %g is not between tcur - hu = %g and tcur = %g."
1044 #define MSG_TIME_TOUT   "tout = %g"
1045 #define MSG_TIME_TSTOP  "tstop = %g"
1046 
1047 #endif
1048 
1049 
1050 /* Initialization and I/O error messages */
1051 
1052 #define MSGCV_NO_MEM "cvode_mem = NULL illegal."
1053 #define MSGCV_CVMEM_FAIL "Allocation of cvode_mem failed."
1054 #define MSGCV_MEM_FAIL "A memory request failed."
1055 #define MSGCV_BAD_LMM  "Illegal value for lmm. The legal values are CV_ADAMS and CV_BDF."
1056 #define MSGCV_NO_MALLOC "Attempt to call before CVodeInit."
1057 #define MSGCV_NEG_MAXORD "maxord <= 0 illegal."
1058 #define MSGCV_BAD_MAXORD  "Illegal attempt to increase maximum method order."
1059 #define MSGCV_SET_SLDET  "Attempt to use stability limit detection with the CV_ADAMS method illegal."
1060 #define MSGCV_NEG_HMIN "hmin < 0 illegal."
1061 #define MSGCV_NEG_HMAX "hmax < 0 illegal."
1062 #define MSGCV_BAD_HMIN_HMAX "Inconsistent step size limits: hmin > hmax."
1063 #define MSGCV_BAD_RELTOL "reltol < 0 illegal."
1064 #define MSGCV_BAD_ABSTOL "abstol has negative component(s) (illegal)."
1065 #define MSGCV_NULL_ABSTOL "abstol = NULL illegal."
1066 #define MSGCV_NULL_Y0 "y0 = NULL illegal."
1067 #define MSGCV_Y0_FAIL_CONSTR "y0 fails to satisfy constraints."
1068 #define MSGCV_BAD_ISM_CONSTR "Constraints can not be enforced while forward sensitivity is used with simultaneous method"
1069 #define MSGCV_NULL_F "f = NULL illegal."
1070 #define MSGCV_NULL_G "g = NULL illegal."
1071 #define MSGCV_BAD_NVECTOR "A required vector operation is not implemented."
1072 #define MSGCV_BAD_CONSTR "Illegal values in constraints vector."
1073 #define MSGCV_BAD_K "Illegal value for k."
1074 #define MSGCV_NULL_DKY "dky = NULL illegal."
1075 #define MSGCV_BAD_T "Illegal value for t." MSG_TIME_INT
1076 #define MSGCV_NO_ROOT "Rootfinding was not initialized."
1077 #define MSGCV_NLS_INIT_FAIL "The nonlinear solver's init routine failed."
1078 
1079 #define MSGCV_NO_QUAD  "Quadrature integration not activated."
1080 #define MSGCV_BAD_ITOLQ "Illegal value for itolQ. The legal values are CV_SS and CV_SV."
1081 #define MSGCV_NULL_ABSTOLQ "abstolQ = NULL illegal."
1082 #define MSGCV_BAD_RELTOLQ "reltolQ < 0 illegal."
1083 #define MSGCV_BAD_ABSTOLQ "abstolQ has negative component(s) (illegal)."
1084 
1085 #define MSGCV_SENSINIT_2 "Sensitivity analysis already initialized."
1086 #define MSGCV_NO_SENSI  "Forward sensitivity analysis not activated."
1087 #define MSGCV_BAD_ITOLS "Illegal value for itolS. The legal values are CV_SS, CV_SV, and CV_EE."
1088 #define MSGCV_NULL_ABSTOLS "abstolS = NULL illegal."
1089 #define MSGCV_BAD_RELTOLS "reltolS < 0 illegal."
1090 #define MSGCV_BAD_ABSTOLS "abstolS has negative component(s) (illegal)."
1091 #define MSGCV_BAD_PBAR "pbar has zero component(s) (illegal)."
1092 #define MSGCV_BAD_PLIST "plist has negative component(s) (illegal)."
1093 #define MSGCV_BAD_NS "NS <= 0 illegal."
1094 #define MSGCV_NULL_YS0 "yS0 = NULL illegal."
1095 #define MSGCV_BAD_ISM "Illegal value for ism. Legal values are: CV_SIMULTANEOUS, CV_STAGGERED and CV_STAGGERED1."
1096 #define MSGCV_BAD_IFS "Illegal value for ifS. Legal values are: CV_ALLSENS and CV_ONESENS."
1097 #define MSGCV_BAD_ISM_IFS "Illegal ism = CV_STAGGERED1 for CVodeSensInit."
1098 #define MSGCV_BAD_IS "Illegal value for is."
1099 #define MSGCV_NULL_DKYA "dkyA = NULL illegal."
1100 #define MSGCV_BAD_DQTYPE "Illegal value for DQtype. Legal values are: CV_CENTERED and CV_FORWARD."
1101 #define MSGCV_BAD_DQRHO "DQrhomax < 0 illegal."
1102 
1103 #define MSGCV_BAD_ITOLQS "Illegal value for itolQS. The legal values are CV_SS, CV_SV, and CV_EE."
1104 #define MSGCV_NULL_ABSTOLQS "abstolQS = NULL illegal."
1105 #define MSGCV_BAD_RELTOLQS "reltolQS < 0 illegal."
1106 #define MSGCV_BAD_ABSTOLQS "abstolQS has negative component(s) (illegal)."
1107 #define MSGCV_NO_QUADSENSI  "Forward sensitivity analysis for quadrature variables not activated."
1108 #define MSGCV_NULL_YQS0 "yQS0 = NULL illegal."
1109 
1110 /* CVode Error Messages */
1111 
1112 #define MSGCV_NO_TOL "No integration tolerances have been specified."
1113 #define MSGCV_LSOLVE_NULL "The linear solver's solve routine is NULL."
1114 #define MSGCV_YOUT_NULL "yout = NULL illegal."
1115 #define MSGCV_TRET_NULL "tret = NULL illegal."
1116 #define MSGCV_BAD_EWT "Initial ewt has component(s) equal to zero (illegal)."
1117 #define MSGCV_EWT_NOW_BAD "At " MSG_TIME ", a component of ewt has become <= 0."
1118 #define MSGCV_BAD_ITASK "Illegal value for itask."
1119 #define MSGCV_BAD_H0 "h0 and tout - t0 inconsistent."
1120 #define MSGCV_BAD_TOUT "Trouble interpolating at " MSG_TIME_TOUT ". tout too far back in direction of integration"
1121 #define MSGCV_EWT_FAIL "The user-provide EwtSet function failed."
1122 #define MSGCV_EWT_NOW_FAIL "At " MSG_TIME ", the user-provide EwtSet function failed."
1123 #define MSGCV_LINIT_FAIL "The linear solver's init routine failed."
1124 #define MSGCV_HNIL_DONE "The above warning has been issued mxhnil times and will not be issued again for this problem."
1125 #define MSGCV_TOO_CLOSE "tout too close to t0 to start integration."
1126 #define MSGCV_MAX_STEPS "At " MSG_TIME ", mxstep steps taken before reaching tout."
1127 #define MSGCV_TOO_MUCH_ACC "At " MSG_TIME ", too much accuracy requested."
1128 #define MSGCV_HNIL "Internal " MSG_TIME_H " are such that t + h = t on the next step. The solver will continue anyway."
1129 #define MSGCV_ERR_FAILS "At " MSG_TIME_H ", the error test failed repeatedly or with |h| = hmin."
1130 #define MSGCV_CONV_FAILS "At " MSG_TIME_H ", the corrector convergence test failed repeatedly or with |h| = hmin."
1131 #define MSGCV_SETUP_FAILED "At " MSG_TIME ", the setup routine failed in an unrecoverable manner."
1132 #define MSGCV_SOLVE_FAILED "At " MSG_TIME ", the solve routine failed in an unrecoverable manner."
1133 #define MSGCV_FAILED_CONSTR "At " MSG_TIME ", unable to satisfy inequality constraints."
1134 #define MSGCV_RHSFUNC_FAILED "At " MSG_TIME ", the right-hand side routine failed in an unrecoverable manner."
1135 #define MSGCV_RHSFUNC_UNREC "At " MSG_TIME ", the right-hand side failed in a recoverable manner, but no recovery is possible."
1136 #define MSGCV_RHSFUNC_REPTD "At " MSG_TIME " repeated recoverable right-hand side function errors."
1137 #define MSGCV_RHSFUNC_FIRST "The right-hand side routine failed at the first call."
1138 #define MSGCV_RTFUNC_FAILED "At " MSG_TIME ", the rootfinding routine failed in an unrecoverable manner."
1139 #define MSGCV_CLOSE_ROOTS "Root found at and very near " MSG_TIME "."
1140 #define MSGCV_BAD_TSTOP "The value " MSG_TIME_TSTOP " is behind current " MSG_TIME " in the direction of integration."
1141 #define MSGCV_INACTIVE_ROOTS "At the end of the first step, there are still some root functions identically 0. This warning will not be issued again."
1142 #define MSGCV_NLS_SETUP_FAILED "At " MSG_TIME ", the nonlinear solver setup failed unrecoverably."
1143 #define MSGCV_NLS_INPUT_NULL "At " MSG_TIME ", the nonlinear solver was passed a NULL input."
1144 #define MSGCV_NLS_FAIL "At " MSG_TIME ", the nonlinear solver failed in an unrecoverable manner."
1145 
1146 #define MSGCV_NO_TOLQ "No integration tolerances for quadrature variables have been specified."
1147 #define MSGCV_BAD_EWTQ "Initial ewtQ has component(s) equal to zero (illegal)."
1148 #define MSGCV_EWTQ_NOW_BAD "At " MSG_TIME ", a component of ewtQ has become <= 0."
1149 #define MSGCV_QRHSFUNC_FAILED "At " MSG_TIME ", the quadrature right-hand side routine failed in an unrecoverable manner."
1150 #define MSGCV_QRHSFUNC_UNREC "At " MSG_TIME ", the quadrature right-hand side failed in a recoverable manner, but no recovery is possible."
1151 #define MSGCV_QRHSFUNC_REPTD "At " MSG_TIME " repeated recoverable quadrature right-hand side function errors."
1152 #define MSGCV_QRHSFUNC_FIRST "The quadrature right-hand side routine failed at the first call."
1153 
1154 #define MSGCV_NO_TOLS "No integration tolerances for sensitivity variables have been specified."
1155 #define MSGCV_NULL_P "p = NULL when using internal DQ for sensitivity RHS illegal."
1156 #define MSGCV_BAD_EWTS "Initial ewtS has component(s) equal to zero (illegal)."
1157 #define MSGCV_EWTS_NOW_BAD "At " MSG_TIME ", a component of ewtS has become <= 0."
1158 #define MSGCV_SRHSFUNC_FAILED "At " MSG_TIME ", the sensitivity right-hand side routine failed in an unrecoverable manner."
1159 #define MSGCV_SRHSFUNC_UNREC "At " MSG_TIME ", the sensitivity right-hand side failed in a recoverable manner, but no recovery is possible."
1160 #define MSGCV_SRHSFUNC_REPTD "At " MSG_TIME " repeated recoverable sensitivity right-hand side function errors."
1161 #define MSGCV_SRHSFUNC_FIRST "The sensitivity right-hand side routine failed at the first call."
1162 
1163 #define MSGCV_NULL_FQ "CVODES is expected to use DQ to evaluate the RHS of quad. sensi., but quadratures were not initialized."
1164 #define MSGCV_NO_TOLQS "No integration tolerances for quadrature sensitivity variables have been specified."
1165 #define MSGCV_BAD_EWTQS "Initial ewtQS has component(s) equal to zero (illegal)."
1166 #define MSGCV_EWTQS_NOW_BAD "At " MSG_TIME ", a component of ewtQS has become <= 0."
1167 #define MSGCV_QSRHSFUNC_FAILED "At " MSG_TIME ", the quadrature sensitivity right-hand side routine failed in an unrecoverable manner."
1168 #define MSGCV_QSRHSFUNC_UNREC "At " MSG_TIME ", the quadrature sensitivity right-hand side failed in a recoverable manner, but no recovery is possible."
1169 #define MSGCV_QSRHSFUNC_REPTD "At " MSG_TIME " repeated recoverable quadrature sensitivity right-hand side function errors."
1170 #define MSGCV_QSRHSFUNC_FIRST "The quadrature sensitivity right-hand side routine failed at the first call."
1171 
1172 /*
1173  * =================================================================
1174  *   C V O D E A    E R R O R    M E S S A G E S
1175  * =================================================================
1176  */
1177 
1178 #define MSGCV_NO_ADJ      "Illegal attempt to call before calling CVodeAdjMalloc."
1179 #define MSGCV_BAD_STEPS   "Steps nonpositive illegal."
1180 #define MSGCV_BAD_INTERP  "Illegal value for interp."
1181 #define MSGCV_BAD_WHICH   "Illegal value for which."
1182 #define MSGCV_NO_BCK      "No backward problems have been defined yet."
1183 #define MSGCV_NO_FWD      "Illegal attempt to call before calling CVodeF."
1184 #define MSGCV_BAD_TB0     "The initial time tB0 for problem %d is outside the interval over which the forward problem was solved."
1185 #define MSGCV_BAD_SENSI   "At least one backward problem requires sensitivities, but they were not stored for interpolation."
1186 #define MSGCV_BAD_ITASKB  "Illegal value for itaskB. Legal values are CV_NORMAL and CV_ONE_STEP."
1187 #define MSGCV_BAD_TBOUT   "The final time tBout is outside the interval over which the forward problem was solved."
1188 #define MSGCV_BACK_ERROR  "Error occured while integrating backward problem # %d"
1189 #define MSGCV_BAD_TINTERP "Bad t = %g for interpolation."
1190 #define MSGCV_WRONG_INTERP "This function cannot be called for the specified interp type."
1191 
1192 #ifdef __cplusplus
1193 }
1194 #endif
1195 
1196 #endif
1197