/* yS0 in row major order */
void ode_solver_init_sens(ode_solver* solver,  double* yS0, int lenP, int lenY){
  /* change: lenP may now be shorter than P if you dpn't want to
   * calculate all sensitivities.  This is important for the correct
   * treatment of input parameters, i.e. experimental conditions u
   * (since we don't require sensitivities with repsect to them).
   */
  int i,flag;
  
  int N = solver->odeModel->N;
  int P = solver->odeModel->P;
  
  if (solver->odeModel->vf_sens == 0) {
    fprintf(stderr,"ode_solver_init_sens: no sensitivities defined for this model.\n");
    return;
  }
  
  solver->yS = N_VCloneVectorArrayEmpty_Serial(lenP, solver->y);						/* alloc */
  double tmp[N];
  
  if(yS0 !=0 ){
    if ( (lenY != N) ) {
      fprintf(stderr,"ode_solver_init_sens: lenY must be equal to %d the number of parameters and variables in the ode model.\n",solver->odeModel->N);
      return ;
    }
    
    for(i = 0; i < lenP; i++)
      NV_DATA_S(solver->yS[i]) = &yS0[i*lenY];
  }
  else{
    
    for (i=0; i < N ; i++)
      tmp[i] = 0.0;
    
    for (i = 0; i < lenP; i++)
      NV_DATA_S(solver->yS[i]) = tmp;
  }
  
  flag = CVodeSensInit1(solver->cvode_mem, lenP, CV_STAGGERED1, solver->odeModel->vf_sens, solver->yS);
  flag = CVodeSetSensErrCon(solver->cvode_mem, TRUE);	
  flag = CVodeSensEEtolerances(solver->cvode_mem);
  
  /* set parameters scale for error corection */
  double scale_p[lenP];
  
  for (i=0; i<lenP; i++) {
    /* order of magnitude can be found from the actual parameter value */
    /* if zero then set to the default relative error */
    if (solver->params[i] != 0.0){
      scale_p[i] = solver->params[i];
    }
    else {
      scale_p[i] = ODE_SOLVER_REL_ERR;
    }
    
  }
  flag = CVodeSetSensParams(solver->cvode_mem, solver->params, scale_p, NULL);
  
}
int main(int argc, char *argv[])
{
  void *cvode_mem;
  UserData data;
  realtype t, tout;
  N_Vector y;
  int iout, flag, nthreads, nnz;

  realtype pbar[NS];
  int is; 
  N_Vector *yS;
  booleantype sensi, err_con;
  int sensi_meth;

  cvode_mem = NULL;
  data      = NULL;
  y         =  NULL;
  yS        = NULL;

  /* Process arguments */
  ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);

  /* User data structure */
  data = (UserData) malloc(sizeof *data);
  if (check_flag((void *)data, "malloc", 2)) return(1);
  data->p[0] = RCONST(0.04);
  data->p[1] = RCONST(1.0e4);
  data->p[2] = RCONST(3.0e7);

  /* Initial conditions */
  y = N_VNew_Serial(NEQ);
  if (check_flag((void *)y, "N_VNew_Serial", 0)) return(1);

  Ith(y,1) = Y1;
  Ith(y,2) = Y2;
  Ith(y,3) = Y3;

  /* Call CVodeCreate to create the solver memory and specify the 
     Backward Differentiation Formula and the use of a Newton iteration */
  cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
  if (check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);

  /* Call CVodeInit to initialize the integrator memory and specify the
     user's right hand side function in y'=f(t,y), the initial time T0, and
     the initial dependent variable vector y. */
  flag = CVodeInit(cvode_mem, f, T0, y);
  if (check_flag(&flag, "CVodeInit", 1)) return(1);

  /* Call CVodeWFtolerances to specify a user-supplied function ewt that sets
     the multiplicative error weights W_i for use in the weighted RMS norm */
  flag = CVodeWFtolerances(cvode_mem, ewt);
  if (check_flag(&flag, "CVodeSetEwtFn", 1)) return(1);

  /* Attach user data */
  flag = CVodeSetUserData(cvode_mem, data);
  if (check_flag(&flag, "CVodeSetUserData", 1)) return(1);

  /* Call CVKLU to specify the CVKLU sparse direct linear solver */
  nthreads = 1;                 /* no. of threads to use when factoring the system*/
  nnz = NEQ * NEQ;              /* max no. of nonzeros entries in the Jac */
  flag = CVSuperLUMT(cvode_mem, nthreads, NEQ, nnz);
  if (check_flag(&flag, "CVSuperLUMT", 1)) return(1);

  /* Set the Jacobian routine to Jac (user-supplied) */
  flag = CVSlsSetSparseJacFn(cvode_mem, Jac);
  if (check_flag(&flag, "CVSlsSetSparseJacFn", 1)) return(1);

  printf("\n3-species chemical kinetics problem\n");

  /* Sensitivity-related settings */
  if (sensi) {

    /* Set parameter scaling factor */
    pbar[0] = data->p[0];
    pbar[1] = data->p[1];
    pbar[2] = data->p[2];

    /* Set sensitivity initial conditions */
    yS = N_VCloneVectorArray_Serial(NS, y);
    if (check_flag((void *)yS, "N_VCloneVectorArray_Serial", 0)) return(1);
    for (is=0;is<NS;is++) N_VConst(ZERO, yS[is]);

    /* Call CVodeSensInit1 to activate forward sensitivity computations
       and allocate internal memory for COVEDS related to sensitivity
       calculations. Computes the right-hand sides of the sensitivity
       ODE, one at a time */
    flag = CVodeSensInit1(cvode_mem, NS, sensi_meth, fS, yS);
    if(check_flag(&flag, "CVodeSensInit", 1)) return(1);

    /* Call CVodeSensEEtolerances to estimate tolerances for sensitivity 
       variables based on the rolerances supplied for states variables and 
       the scaling factor pbar */
    flag = CVodeSensEEtolerances(cvode_mem);
    if(check_flag(&flag, "CVodeSensEEtolerances", 1)) return(1);

    /* Set sensitivity analysis optional inputs */
    /* Call CVodeSetSensErrCon to specify the error control strategy for 
       sensitivity variables */
    flag = CVodeSetSensErrCon(cvode_mem, err_con);
    if (check_flag(&flag, "CVodeSetSensErrCon", 1)) return(1);

    /* Call CVodeSetSensParams to specify problem parameter information for 
       sensitivity calculations */
    flag = CVodeSetSensParams(cvode_mem, NULL, pbar, NULL);
    if (check_flag(&flag, "CVodeSetSensParams", 1)) return(1);

    printf("Sensitivity: YES ");
    if(sensi_meth == CV_SIMULTANEOUS)   
      printf("( SIMULTANEOUS +");
    else 
      if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
      else                           printf("( STAGGERED1 +");   
    if(err_con) printf(" FULL ERROR CONTROL )");
    else        printf(" PARTIAL ERROR CONTROL )");

  } else {

    printf("Sensitivity: NO ");

  }
  
  /* In loop over output points, call CVode, print results, test for error */
  
  printf("\n\n");
  printf("===========================================");
  printf("============================\n");
  printf("     T     Q       H      NST           y1");
  printf("           y2           y3    \n");
  printf("===========================================");
  printf("============================\n");

  for (iout=1, tout=T1; iout <= NOUT; iout++, tout *= TMULT) {

    flag = CVode(cvode_mem, tout, y, &t, CV_NORMAL);
    if (check_flag(&flag, "CVode", 1)) break;

    PrintOutput(cvode_mem, t, y);

    /* Call CVodeGetSens to get the sensitivity solution vector after a
       successful return from CVode */
    if (sensi) {
      flag = CVodeGetSens(cvode_mem, &t, yS);
      if (check_flag(&flag, "CVodeGetSens", 1)) break;
      PrintOutputS(yS);
    } 
    printf("-----------------------------------------");
    printf("------------------------------\n");

  }

  /* Print final statistics */
  PrintFinalStats(cvode_mem, sensi);

  /* Free memory */

  N_VDestroy_Serial(y);                    /* Free y vector */
  if (sensi) {
    N_VDestroyVectorArray_Serial(yS, NS);  /* Free yS vector */
  }
  free(data);                              /* Free user data */
  CVodeFree(&cvode_mem);                   /* Free CVODES memory */

  return(0);
}
/* creates CVODES forward sensitivity solver structures
   return 1 => success
   return 0 => failure
*/
int
IntegratorInstance_createCVODESSolverStructures(integratorInstance_t *engine)
{
    int i, j, flag, neq, ns;
    realtype *ydata, *abstoldata, *ySdata, *senstoldata;

    odeModel_t *om = engine->om;
    cvodeData_t *data = engine->data;
    cvodeSolver_t *solver = engine->solver;
    cvodeSettings_t *opt = engine->opt;

    /* realtype pbar[data->nsens+1]; */
    /*int *plist; removed by AMF 8/11/05
    realtype *pbar;

    ASSIGN_NEW_MEMORY_BLOCK(plist, data->nsens+1, int, 0)
    ASSIGN_NEW_MEMORY_BLOCK(pbar, data->nsens+1, realtype, 0)*/


    /*****  adding sensitivity specific structures ******/

    /**
     * construct sensitivity related structures
     */
    /* free sensitivity from former runs (changed for non-default cases!) */
    ODEModel_freeSensitivity(om);

    /* if jacobian matrix has been constructed successfully,
       construct sensitivity matrix dx/dp, sets om->sensitivity
       to 1 if successful, 0 otherwise */
    /*!!! this function will require additional input for
       non-default case, via sensitivity input settings! !!!*/

    if ( om->jacobian ) 
      ODEModel_constructSensitivity(om);
    else {
      om->sensitivity = 0;
      om->jacob_sens = NULL;
      om->nsens = om->nconst;

      ASSIGN_NEW_MEMORY_BLOCK(om->index_sens, om->nsens, int, 0);
      /*!!! non-default case:
	these values should be passed for other cases !!!*/
      for ( i=0; i<om->nsens; i++ )
	om->index_sens[i] = om->neq + om->nass + i;
    }
    
    engine->solver->nsens = data->nsens;

    solver->yS = N_VNewVectorArray_Serial(data->nsens, data->neq);      
    if (check_flag((void *)solver->yS, "N_VNewVectorArray_Serial",
		   1, stderr))
      return(0);

    /*
     * (re)initialize ySdata sensitivities
     */
    /* absolute tolerance for sensitivity error control */
    solver->senstol = N_VNew_Serial(data->nsens);
    abstoldata = NV_DATA_S(solver->senstol);
    for ( j=0; j<data->nsens; j++ ) {
      abstoldata[j] = 1e-4;
      ySdata = NV_DATA_S(solver->yS[j]);
      for ( i=0; i<data->neq; i++ ) 
	ySdata[i] = data->sensitivity[i][j];
    }

    /*
     * set method
     */
    if ( opt->SensMethod == 0 ) 
      flag =CVodeSensMalloc(solver->cvode_mem,data->nsens,
			    CV_SIMULTANEOUS, solver->yS);
    else if ( opt->SensMethod == 1 )
      flag = CVodeSensMalloc(solver->cvode_mem, data->nsens,
			     CV_STAGGERED, solver->yS);
    else if ( opt->SensMethod == 2 )
      flag = CVodeSensMalloc(solver->cvode_mem, data->nsens,
			     CV_STAGGERED1, solver->yS);
    if(check_flag(&flag, "CVodeSensMalloc", 1, stderr)) {
      return 0;
      /* ERROR HANDLING CODE if failes */
    }

    /* *** set parameter values or R.H.S function fS *****/
    /* NOTES: */
    /* !!! plist could later be used to specify requested parameters
       for sens.analysis !!! */
    
    /* was construction of Jacobian and
       parametric matrix successfull ? */
    if ( om->sensitivity && om->jacobian ) {
      flag = CVodeSetSensRhs1Fn(solver->cvode_mem, fS);
      if (check_flag(&flag, "CVodeSetSensRhs1Fn", 1, stderr)) {
	return 0;
	/* ERROR HANDLING CODE if failes */
      }
      flag = CVodeSetSensFdata(solver->cvode_mem, data);
      if (check_flag(&flag, "CVodeSetSensFdata", 1, stderr))  {
	return 0;
	/* ERROR HANDLING CODE if  failes */
      }  
      data->p = NULL;
    }
    else {
      ASSIGN_NEW_MEMORY_BLOCK(data->p, data->nsens, realtype, 0);
      for ( i=0; i<data->nsens; i++ ) {
        /* data->p is only required if R.H.S. fS cannot be supplied */
	/* plist[i] = i+1; */
	data->p[i] = data->value[om->index_sens[i]]; 
	/* pbar[i] = abs(data->p[i]);  */ /*??? WHAT IS PBAR ???*/ 
      }
      flag = CVodeSetSensParams(solver->cvode_mem, data->p, NULL, NULL);
      if (check_flag(&flag, "CVodeSetSensParams", 1, stderr))  {
	return 0;
	/* ERROR HANDLING CODE if  failes */
      }
      flag = CVodeSetSensRho(solver->cvode_mem, 0.0); /* what is it? */
      if (check_flag(&flag, "CVodeSetSensRhs1Fn", 1, stderr)) {
	/* ERROR HANDLING CODE if  failes */
	return 0;
      }
    }
/*     CVodeSetSensTolerances(solver->cvode_mem, CV_SS, */
/* 			   solver->reltol, &solver->senstol); */
    
    /* difference FALSE/TRUE ? */
    flag = CVodeSetSensErrCon(solver->cvode_mem, FALSE);
    if (check_flag(&flag, "CVodeSetSensFdata", 1, stderr)) {
      return 0;
      /* ERROR HANDLING CODE if failes */
    } 
    
    return 1; /* OK */
}
Beispiel #4
0
int main(int argc, char *argv[])
{
  void *cvode_mem;
  UserData data;
  realtype abstol, reltol, t, tout;
  N_Vector y;
  int iout, flag;

  realtype *pbar;
  int is, *plist;
  N_Vector *uS;
  booleantype sensi, err_con;
  int sensi_meth;

  pbar = NULL;
  plist = NULL;
  uS = NULL;
  y = NULL;
  data = NULL;
  cvode_mem = NULL;

  /* Process arguments */
  ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);

  /* Problem parameters */
  data = AllocUserData();
  if(check_flag((void *)data, "AllocUserData", 2)) return(1);
  InitUserData(data);

  /* Initial states */
  y = N_VNew_Serial(NEQ);
  if(check_flag((void *)y, "N_VNew_Serial", 0)) return(1);
  SetInitialProfiles(y, data->dx, data->dz);
  
  /* Tolerances */
  abstol=ATOL; 
  reltol=RTOL;

  /* Create CVODES object */
  cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
  if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);

  flag = CVodeSetFdata(cvode_mem, data);
  if(check_flag(&flag, "CVodeSetFdata", 1)) return(1);

  flag = CVodeSetMaxNumSteps(cvode_mem, 2000);
  if(check_flag(&flag, "CVodeSetMaxNumSteps", 1)) return(1);

  /* Allocate CVODES memory */
  flag = CVodeMalloc(cvode_mem, f, T0, y, CV_SS, reltol, &abstol);
  if(check_flag(&flag, "CVodeMalloc", 1)) return(1);

  /* Attach CVSPGMR linear solver */
  flag = CVSpgmr(cvode_mem, PREC_LEFT, 0);
  if(check_flag(&flag, "CVSpgmr", 1)) return(1);

  flag = CVSpilsSetPreconditioner(cvode_mem, Precond, PSolve, data);
  if(check_flag(&flag, "CVSpilsSetPreconditioner", 1)) return(1);

  printf("\n2-species diurnal advection-diffusion problem\n");

  /* Forward sensitivity analysis */
  if(sensi) {

    plist = (int *) malloc(NS * sizeof(int));
    if(check_flag((void *)plist, "malloc", 2)) return(1);
    for(is=0; is<NS; is++) plist[is] = is;

    pbar = (realtype *) malloc(NS * sizeof(realtype));
    if(check_flag((void *)pbar, "malloc", 2)) return(1);
    for(is=0; is<NS; is++) pbar[is] = data->p[plist[is]];

    uS = N_VCloneVectorArray_Serial(NS, y);
    if(check_flag((void *)uS, "N_VCloneVectorArray_Serial", 0)) return(1);
    for(is=0;is<NS;is++)
      N_VConst(ZERO,uS[is]);

    flag = CVodeSensMalloc(cvode_mem, NS, sensi_meth, uS);
    if(check_flag(&flag, "CVodeSensMalloc", 1)) return(1);

    flag = CVodeSetSensErrCon(cvode_mem, err_con);
    if(check_flag(&flag, "CVodeSetSensErrCon", 1)) return(1);

    flag = CVodeSetSensRho(cvode_mem, ZERO);
    if(check_flag(&flag, "CVodeSetSensRho", 1)) return(1);

    flag = CVodeSetSensParams(cvode_mem, data->p, pbar, plist);
    if(check_flag(&flag, "CVodeSetSensParams", 1)) return(1);

    printf("Sensitivity: YES ");
    if(sensi_meth == CV_SIMULTANEOUS)   
      printf("( SIMULTANEOUS +");
    else 
      if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
      else                           printf("( STAGGERED1 +");   
    if(err_con) printf(" FULL ERROR CONTROL )");
    else        printf(" PARTIAL ERROR CONTROL )");
    
  } else {

    printf("Sensitivity: NO ");

  }

  /* In loop over output points, call CVode, print results, test for error */

  printf("\n\n");
  printf("========================================================================\n");
  printf("     T     Q       H      NST                    Bottom left  Top right \n");
  printf("========================================================================\n");

  for (iout=1, tout = TWOHR; iout <= NOUT; iout++, tout += TWOHR) {
    flag = CVode(cvode_mem, tout, y, &t, CV_NORMAL);
    if(check_flag(&flag, "CVode", 1)) break;
    PrintOutput(cvode_mem, t, y);
    if (sensi) {
      flag = CVodeGetSens(cvode_mem, t, uS);
      if(check_flag(&flag, "CVodeGetSens", 1)) break;
      PrintOutputS(uS);
    }
    
    printf("------------------------------------------------------------------------\n");

  }

  /* Print final statistics */
  PrintFinalStats(cvode_mem, sensi);

  /* Free memory */
  N_VDestroy_Serial(y);
  if (sensi) {
    N_VDestroyVectorArray_Serial(uS, NS);
    free(pbar);
    free(plist);
  }
  FreeUserData(data);
  CVodeFree(&cvode_mem);

  return(0);
}
Beispiel #5
0
int main(int argc, char *argv[])
{
  void *cvode_mem;
  UserData data;
  realtype t, tout;
  N_Vector y;
  int iout, flag;

  realtype pbar[NS];
  int is; 
  N_Vector *yS;
  booleantype sensi, err_con;
  int sensi_meth;

  cvode_mem = NULL;
  data      = NULL;
  y         =  NULL;
  yS        = NULL;

  /* Process arguments */
  ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);

  /* User data structure */
  data = (UserData) malloc(sizeof *data);
  if (check_flag((void *)data, "malloc", 2)) return(1);
  data->p[0] = RCONST(0.04);
  data->p[1] = RCONST(1.0e4);
  data->p[2] = RCONST(3.0e7);

  /* Initial conditions */
  y = N_VNew_Serial(NEQ);
  if (check_flag((void *)y, "N_VNew_Serial", 0)) return(1);

  Ith(y,1) = Y1;
  Ith(y,2) = Y2;
  Ith(y,3) = Y3;

  /* Create CVODES object */
  cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON);
  if (check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);

  /* Allocate space for CVODES */
  flag = CVodeMalloc(cvode_mem, f, T0, y, CV_WF, 0.0, NULL);
  if (check_flag(&flag, "CVodeMalloc", 1)) return(1);

  /* Use private function to compute error weights */
  flag = CVodeSetEwtFn(cvode_mem, ewt, NULL);
  if (check_flag(&flag, "CVodeSetEwtFn", 1)) return(1);

  /* Attach user data */
  flag = CVodeSetFdata(cvode_mem, data);
  if (check_flag(&flag, "CVodeSetFdata", 1)) return(1);

  /* Attach linear solver */
  flag = CVDense(cvode_mem, NEQ);
  if (check_flag(&flag, "CVDense", 1)) return(1);

  flag = CVDenseSetJacFn(cvode_mem, Jac, data);
  if (check_flag(&flag, "CVDenseSetJacFn", 1)) return(1);

  printf("\n3-species chemical kinetics problem\n");

  /* Sensitivity-related settings */
  if (sensi) {

    pbar[0] = data->p[0];
    pbar[1] = data->p[1];
    pbar[2] = data->p[2];

    yS = N_VNewVectorArray_Serial(NS, NEQ);
    if (check_flag((void *)yS, "N_VNewVectorArray_Serial", 0)) return(1);
    for (is=0;is<NS;is++) N_VConst(ZERO, yS[is]);

    flag = CVodeSensMalloc(cvode_mem, NS, sensi_meth, yS);
    if(check_flag(&flag, "CVodeSensMalloc", 1)) return(1);

    flag = CVodeSetSensRhs1Fn(cvode_mem, fS);
    if (check_flag(&flag, "CVodeSetSensRhs1Fn", 1)) return(1);
    flag = CVodeSetSensErrCon(cvode_mem, err_con);
    if (check_flag(&flag, "CVodeSetSensFdata", 1)) return(1);
    flag = CVodeSetSensFdata(cvode_mem, data);
    if (check_flag(&flag, "CVodeSetSensFdata", 1)) return(1);
    flag = CVodeSetSensParams(cvode_mem, NULL, pbar, NULL);
    if (check_flag(&flag, "CVodeSetSensParams", 1)) return(1);

    printf("Sensitivity: YES ");
    if(sensi_meth == CV_SIMULTANEOUS)   
      printf("( SIMULTANEOUS +");
    else 
      if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
      else                           printf("( STAGGERED1 +");   
    if(err_con) printf(" FULL ERROR CONTROL )");
    else        printf(" PARTIAL ERROR CONTROL )");

  } else {

    printf("Sensitivity: NO ");

  }
  
  /* In loop over output points, call CVode, print results, test for error */
  
  printf("\n\n");
  printf("===================================================");
  printf("============================\n");
  printf("     T     Q       H      NST                    y1");
  printf("           y2           y3    \n");
  printf("===================================================");
  printf("============================\n");

  for (iout=1, tout=T1; iout <= NOUT; iout++, tout *= TMULT) {

    flag = CVode(cvode_mem, tout, y, &t, CV_NORMAL);
    if (check_flag(&flag, "CVode", 1)) break;

    PrintOutput(cvode_mem, t, y);

    if (sensi) {
      flag = CVodeGetSens(cvode_mem, t, yS);
      if (check_flag(&flag, "CVodeGetSens", 1)) break;
      PrintOutputS(yS);
    } 
    printf("-------------------------------------------------");
    printf("------------------------------\n");

  }

  /* Print final statistics */
  PrintFinalStats(cvode_mem, sensi);

  /* Free memory */

  N_VDestroy_Serial(y);                    /* Free y vector */
  if (sensi) {
    N_VDestroyVectorArray_Serial(yS, NS);  /* Free yS vector */
  }
  free(data);                              /* Free user data */
  CVodeFree(cvode_mem);                    /* Free CVODES memory */

  return(0);
}
int main(int argc, char *argv[])
{
  SUNMatrix A;
  SUNLinearSolver LS;
  void *cvode_mem;
  UserData data;
  realtype t, tout;
  N_Vector y, constraints;
  int iout, retval;

  realtype pbar[NS];
  int is; 
  N_Vector *yS;
  booleantype sensi, err_con;
  int sensi_meth;

  cvode_mem   = NULL;
  data        = NULL;
  y           = NULL;
  yS          = NULL;
  A           = NULL;
  LS          = NULL;
  constraints = NULL;

  /* Process arguments */
  ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);

  /* User data structure */
  data = (UserData) malloc(sizeof *data);
  if (check_retval((void *)data, "malloc", 2)) return(1);
  data->p[0] = RCONST(0.04);
  data->p[1] = RCONST(1.0e4);
  data->p[2] = RCONST(3.0e7);

  /* Initial conditions */
  y = N_VNew_Serial(NEQ);
  if (check_retval((void *)y, "N_VNew_Serial", 0)) return(1);

  Ith(y,1) = Y1;
  Ith(y,2) = Y2;
  Ith(y,3) = Y3;

  /* Set constraints to all 1's for nonnegative solution values. */
  constraints = N_VNew_Serial(NEQ);
  if(check_retval((void *)constraints, "N_VNew_Serial", 0)) return(1);
  N_VConst(ONE, constraints);  

  /* Create CVODES object */
  cvode_mem = CVodeCreate(CV_BDF);
  if (check_retval((void *)cvode_mem, "CVodeCreate", 0)) return(1);

  /* Allocate space for CVODES */
  retval = CVodeInit(cvode_mem, f, T0, y);
  if (check_retval(&retval, "CVodeInit", 1)) return(1);

  /* Use private function to compute error weights */
  retval = CVodeWFtolerances(cvode_mem, ewt);
  if (check_retval(&retval, "CVodeSetEwtFn", 1)) return(1);

  /* Attach user data */
  retval = CVodeSetUserData(cvode_mem, data);
  if (check_retval(&retval, "CVodeSetUserData", 1)) return(1);

  /* Call CVodeSetConstraints to initialize constraints */
  retval = CVodeSetConstraints(cvode_mem, constraints);
  if(check_retval(&retval, "CVodeSetConstraints", 1)) return(1);
  N_VDestroy(constraints);

  /* Create dense SUNMatrix */
  A = SUNDenseMatrix(NEQ, NEQ);
  if (check_retval((void *)A, "SUNDenseMatrix", 0)) return(1);

  /* Create dense SUNLinearSolver */
  LS = SUNLinSol_Dense(y, A);
  if (check_retval((void *)LS, "SUNLinSol_Dense", 0)) return(1);

  /* Attach the matrix and linear solver */
  retval = CVDlsSetLinearSolver(cvode_mem, LS, A);
  if (check_retval(&retval, "CVDlsSetLinearSolver", 1)) return(1);

  /* Set the user-supplied Jacobian routine Jac */
  retval = CVDlsSetJacFn(cvode_mem, Jac);
  if (check_retval(&retval, "CVDlsSetJacFn", 1)) return(1);

  printf("\n3-species chemical kinetics problem\n");

  /* Sensitivity-related settings */
  if (sensi) {

    /* Set parameter scaling factor */
    pbar[0] = data->p[0];
    pbar[1] = data->p[1];
    pbar[2] = data->p[2];

    /* Set sensitivity initial conditions */
    yS = N_VCloneVectorArray(NS, y);
    if (check_retval((void *)yS, "N_VCloneVectorArray", 0)) return(1);
    for (is=0;is<NS;is++) N_VConst(ZERO, yS[is]);

    /* Call CVodeSensInit1 to activate forward sensitivity computations
       and allocate internal memory for COVEDS related to sensitivity
       calculations. Computes the right-hand sides of the sensitivity
       ODE, one at a time */
    retval = CVodeSensInit1(cvode_mem, NS, sensi_meth, fS, yS);
    if(check_retval(&retval, "CVodeSensInit", 1)) return(1);

    /* Call CVodeSensEEtolerances to estimate tolerances for sensitivity 
       variables based on the rolerances supplied for states variables and 
       the scaling factor pbar */
    retval = CVodeSensEEtolerances(cvode_mem);
    if(check_retval(&retval, "CVodeSensEEtolerances", 1)) return(1);

    /* Set sensitivity analysis optional inputs */
    /* Call CVodeSetSensErrCon to specify the error control strategy for 
       sensitivity variables */
    retval = CVodeSetSensErrCon(cvode_mem, err_con);
    if (check_retval(&retval, "CVodeSetSensErrCon", 1)) return(1);

    /* Call CVodeSetSensParams to specify problem parameter information for 
       sensitivity calculations */
    retval = CVodeSetSensParams(cvode_mem, NULL, pbar, NULL);
    if (check_retval(&retval, "CVodeSetSensParams", 1)) return(1);

    printf("Sensitivity: YES ");
    if(sensi_meth == CV_SIMULTANEOUS)   
      printf("( SIMULTANEOUS +");
    else 
      if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
      else                           printf("( STAGGERED1 +");   
    if(err_con) printf(" FULL ERROR CONTROL )");
    else        printf(" PARTIAL ERROR CONTROL )");

  } else {

    printf("Sensitivity: NO ");

  }
  
  /* In loop over output points, call CVode, print results, test for error */
  
  printf("\n\n");
  printf("===========================================");
  printf("============================\n");
  printf("     T     Q       H      NST           y1");
  printf("           y2           y3    \n");
  printf("===========================================");
  printf("============================\n");

  for (iout=1, tout=T1; iout <= NOUT; iout++, tout *= TMULT) {

    retval = CVode(cvode_mem, tout, y, &t, CV_NORMAL);
    if (check_retval(&retval, "CVode", 1)) break;

    PrintOutput(cvode_mem, t, y);

    /* Call CVodeGetSens to get the sensitivity solution vector after a
       successful return from CVode */
    if (sensi) {
      retval = CVodeGetSens(cvode_mem, &t, yS);
      if (check_retval(&retval, "CVodeGetSens", 1)) break;
      PrintOutputS(yS);
    } 
    printf("-----------------------------------------");
    printf("------------------------------\n");

  }

  /* Print final statistics */
  PrintFinalStats(cvode_mem, sensi);

  /* Free memory */

  N_VDestroy(y);                    /* Free y vector */
  if (sensi) {
    N_VDestroyVectorArray(yS, NS);  /* Free yS vector */
  }
  free(data);                              /* Free user data */
  CVodeFree(&cvode_mem);                   /* Free CVODES memory */
  SUNLinSolFree(LS);                       /* Free the linear solver memory */
  SUNMatDestroy(A);                        /* Free the matrix memory */

  return(0);
}
Beispiel #7
0
  void CVodesIntegrator::initialize(double t0, FuncEval& func) 
  {
    m_neq = func.neq();
    m_t0  = t0;

    if (m_y) {
      N_VDestroy_Serial(nv(m_y));    // free solution vector if already allocated
    }
    m_y = reinterpret_cast<void*>(N_VNew_Serial(m_neq));   // allocate solution vector
    for (int i=0; i<m_neq; i++) {
      NV_Ith_S(nv(m_y), i) = 0.0;
    }
    // check abs tolerance array size
    if (m_itol == CV_SV && m_nabs < m_neq) 
      throw CVodesErr("not enough absolute tolerance values specified.");

    func.getInitialConditions(m_t0, m_neq, NV_DATA_S(nv(m_y)));

    if (m_cvode_mem) CVodeFree(&m_cvode_mem);

    /*
     *  Specify the method and the iteration type:
     *      Cantera Defaults:
     *         CV_BDF  - Use BDF methods 
     *         CV_NEWTON - use newton's method 
     */
    m_cvode_mem = CVodeCreate(m_method, m_iter);
    if (!m_cvode_mem) throw CVodesErr("CVodeCreate failed.");

    int flag = 0;
#if defined(SUNDIALS_VERSION_22) || defined(SUNDIALS_VERSION_23)
    if (m_itol == CV_SV) {
      // vector atol
      flag = CVodeMalloc(m_cvode_mem, cvodes_rhs, m_t0, nv(m_y), m_itol,
			 m_reltol, nv(m_abstol));
    }
    else {
      // scalar atol
      flag = CVodeMalloc(m_cvode_mem, cvodes_rhs, m_t0, nv(m_y), m_itol,
			 m_reltol, &m_abstols);
    }
    if (flag != CV_SUCCESS) {
      if (flag == CV_MEM_FAIL) {
	throw CVodesErr("Memory allocation failed.");
      }
      else if (flag == CV_ILL_INPUT) {
	throw CVodesErr("Illegal value for CVodeMalloc input argument.");
      }
      else 
	throw CVodesErr("CVodeMalloc failed.");
    }
#elif defined(SUNDIALS_VERSION_24)

    flag = CVodeInit(m_cvode_mem, cvodes_rhs, m_t0, nv(m_y));
    if (flag != CV_SUCCESS) {
      if (flag == CV_MEM_FAIL) {
	throw CVodesErr("Memory allocation failed.");
      } else if (flag == CV_ILL_INPUT) {
	throw CVodesErr("Illegal value for CVodeInit input argument.");
      } else {
	throw CVodesErr("CVodeInit failed.");
      }
    }

    if (m_itol == CV_SV) {
      flag = CVodeSVtolerances(m_cvode_mem, m_reltol, nv(m_abstol));
    } else {
      flag = CVodeSStolerances(m_cvode_mem, m_reltol, m_abstols);
    }
    if (flag != CV_SUCCESS) {
      if (flag == CV_MEM_FAIL) {
	throw CVodesErr("Memory allocation failed.");
      } else if (flag == CV_ILL_INPUT) {
	throw CVodesErr("Illegal value for CVodeInit input argument.");
      } else {
	throw CVodesErr("CVodeInit failed.");
      }
    }
#else
    printf("unknown sundials verson\n");
    exit(-1);
#endif



    if (m_type == DENSE + NOJAC) {
      long int N = m_neq;
      CVDense(m_cvode_mem, N);
    }
    else if (m_type == DIAG) {
      CVDiag(m_cvode_mem);
    }
    else if (m_type == GMRES) {
      CVSpgmr(m_cvode_mem, PREC_NONE, 0);
    }
    else if (m_type == BAND + NOJAC) {
      long int N = m_neq;
      long int nu = m_mupper;
      long int nl = m_mlower;
      CVBand(m_cvode_mem, N, nu, nl);
    }
    else {
      throw CVodesErr("unsupported option");
    }

    // pass a pointer to func in m_data 
    m_fdata = new FuncData(&func, func.nparams());

    //m_data = (void*)&func;
#if defined(SUNDIALS_VERSION_22) || defined(SUNDIALS_VERSION_23)
    flag = CVodeSetFdata(m_cvode_mem, (void*)m_fdata);
    if (flag != CV_SUCCESS) {
      throw CVodesErr("CVodeSetFdata failed.");
    }
#elif defined(SUNDIALS_VERSION_24)
    flag = CVodeSetUserData(m_cvode_mem, (void*)m_fdata);
    if (flag != CV_SUCCESS) {
      throw CVodesErr("CVodeSetUserData failed.");
    }
#endif
    if (func.nparams() > 0) {
      sensInit(t0, func);
      flag = CVodeSetSensParams(m_cvode_mem, DATA_PTR(m_fdata->m_pars), 
				NULL, NULL);
    }

    // set options
    if (m_maxord > 0)
      flag = CVodeSetMaxOrd(m_cvode_mem, m_maxord);
    if (m_maxsteps > 0)
      flag = CVodeSetMaxNumSteps(m_cvode_mem, m_maxsteps);
    if (m_hmax > 0)
      flag = CVodeSetMaxStep(m_cvode_mem, m_hmax);
  }
int main(int argc, char *argv[])
{
  void *cvode_mem;
  UserData data;
  realtype dx, reltol, abstol, t, tout;
  N_Vector u;
  int iout, flag;

  realtype *pbar;
  int is, *plist;
  N_Vector *uS;
  booleantype sensi, err_con;
  int sensi_meth;

  cvode_mem = NULL;
  data = NULL;
  u = NULL;
  pbar = NULL;
  plist = NULL;
  uS = NULL;

  /* Process arguments */
  ProcessArgs(argc, argv, &sensi, &sensi_meth, &err_con);

  /* Set user data */
  data = (UserData) malloc(sizeof *data); /* Allocate data memory */
  if(check_flag((void *)data, "malloc", 2)) return(1);
  data->p = (realtype *) malloc(NP * sizeof(realtype));
  dx = data->dx = XMAX/((realtype)(MX+1));
  data->p[0] = RCONST(1.0);
  data->p[1] = RCONST(0.5);

  /* Allocate and set initial states */
  u = N_VNew_Serial(NEQ);
  if(check_flag((void *)u, "N_VNew_Serial", 0)) return(1);
  SetIC(u, dx);

  /* Set integration tolerances */
  reltol = ZERO;
  abstol = ATOL;

  /* Create CVODES object */
  cvode_mem = CVodeCreate(CV_ADAMS, CV_FUNCTIONAL);
  if(check_flag((void *)cvode_mem, "CVodeCreate", 0)) return(1);

  flag = CVodeSetUserData(cvode_mem, data);
  if(check_flag(&flag, "CVodeSetUserData", 1)) return(1);

  /* Allocate CVODES memory */
  flag = CVodeInit(cvode_mem, f, T0, u);
  if(check_flag(&flag, "CVodeInit", 1)) return(1);

  flag = CVodeSStolerances(cvode_mem, reltol, abstol);
  if(check_flag(&flag, "CVodeSStolerances", 1)) return(1);

  printf("\n1-D advection-diffusion equation, mesh size =%3d\n", MX);

  /* Sensitivity-related settings */
  if(sensi) {

    plist = (int *) malloc(NS * sizeof(int));
    if(check_flag((void *)plist, "malloc", 2)) return(1);
    for(is=0; is<NS; is++) plist[is] = is;

    pbar  = (realtype *) malloc(NS * sizeof(realtype));
    if(check_flag((void *)pbar, "malloc", 2)) return(1);
    for(is=0; is<NS; is++) pbar[is] = data->p[plist[is]];

    uS = N_VCloneVectorArray_Serial(NS, u);
    if(check_flag((void *)uS, "N_VCloneVectorArray_Serial", 0)) return(1);
    for(is=0;is<NS;is++)
      N_VConst(ZERO, uS[is]);

    flag = CVodeSensInit1(cvode_mem, NS, sensi_meth, NULL, uS);
    if(check_flag(&flag, "CVodeSensInit1", 1)) return(1);

    flag = CVodeSensEEtolerances(cvode_mem);
    if(check_flag(&flag, "CVodeSensEEtolerances", 1)) return(1);

    flag = CVodeSetSensErrCon(cvode_mem, err_con);
    if(check_flag(&flag, "CVodeSetSensErrCon", 1)) return(1);

    flag = CVodeSetSensDQMethod(cvode_mem, CV_CENTERED, ZERO);
    if(check_flag(&flag, "CVodeSetSensDQMethod", 1)) return(1);

    flag = CVodeSetSensParams(cvode_mem, data->p, pbar, plist);
    if(check_flag(&flag, "CVodeSetSensParams", 1)) return(1);

    printf("Sensitivity: YES ");
    if(sensi_meth == CV_SIMULTANEOUS)   
      printf("( SIMULTANEOUS +");
    else 
      if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
      else                           printf("( STAGGERED1 +");   
    if(err_con) printf(" FULL ERROR CONTROL )");
    else        printf(" PARTIAL ERROR CONTROL )");

  } else {

    printf("Sensitivity: NO ");

  }

  /* In loop over output points, call CVode, print results, test for error */

  printf("\n\n");
  printf("============================================================\n");
  printf("     T     Q       H      NST                    Max norm   \n");
  printf("============================================================\n");

  for (iout=1, tout=T1; iout <= NOUT; iout++, tout += DTOUT) {
    flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
    if(check_flag(&flag, "CVode", 1)) break;
    PrintOutput(cvode_mem, t, u);
    if (sensi) {
      flag = CVodeGetSens(cvode_mem, &t, uS);
      if(check_flag(&flag, "CVodeGetSens", 1)) break;
      PrintOutputS(uS);
    } 
    printf("------------------------------------------------------------\n");
  }

  /* Print final statistics */
  PrintFinalStats(cvode_mem, sensi);

  /* Free memory */
  N_VDestroy_Serial(u);
  if (sensi) {
    N_VDestroyVectorArray_Serial(uS, NS);
    free(plist);
    free(pbar);
  }
  free(data);
  CVodeFree(&cvode_mem);

  return(0);
}
Beispiel #9
0
/**
 * Solves an initial value problem using CVODES to integrate over a system of
 * ODEs with optional forward sensitivity analysis.  The initial conditions for
 * the system and for the sensitivity analysis are expected to be in the first
 * rows of simdata and sensitivities, respectively.
 *
 * @param [in]  rhs             the right-hand side of the system of ODEs
 * @param [in]  num_timepoints  the number of timepoints
 * @param [in]  num_species     the number of independent variables
 * @param [in]  num_sens        the number of parameters to compute sensitivities
 *                                for (set to zero to disable sensitivity
 *                                calculations)
 * @param [in]  timepoints      the timepoints at which data is to be returned
 * @param [in]  params          parameters
 * @param [in]  sensi           the indices of the parameters to compute the
 *                                sensitivities for (may be NULL to compute the
 *                                sensitivities for all parameters)
 * @param [in]  options         additional options for the integrator
 * @param [out] simdata         contains the state values for each species at
 *                                each timepoint in column-major order.
 * @param [out] sensitivities   sensitivities of each parameter in sensi
 *                                with respect to each independent variable.
 *                                The sensitivity of parameter j with respect to
 *                                variable k at timepoint i is stored at
 *                                (j * num_species + k) * lds + i.
 *                                May be NULL if sensitivities are not to be
 *                                calculated.
 * @param [in]  lds             leading dimension of simdata and sensitivities
 *
 * @return 0 on success,
 *         GMCMC_ENOMEM  if there was not enough memory to create the solver,
 *         GMCMC_EINVAL  if there was an invalid argument to the function,
 *         GMCMC_ELINAL  if the solution could not be found.
 */
int cvodes_solve(gmcmc_ode_rhs rhs, size_t num_timepoints, size_t num_species, size_t num_params, size_t num_sens, const double * timepoints, const double * params, const size_t * sensi, const cvodes_options * options, double * simdata, double * sensitivities, size_t lds) {
  int error;

  // Set vector of initial values
  N_Vector y = N_VNew_Serial((long int)num_species);
  for (size_t j = 0; j < num_species; j++)
    NV_Ith_S(y, j) = simdata[j * lds];

  // Create CVODES object
  void * cvode_mem;
  if ((cvode_mem = CVodeCreate(CV_BDF, CV_NEWTON)) == NULL)
    GMCMC_ERROR("Failed to allocate ODE solver", GMCMC_ENOMEM);

  // Initialise CVODES solver
  if ((error = CVodeInit(cvode_mem, cvodes_rhs, timepoints[0], y)) != CV_SUCCESS) {
    CVodeFree(&cvode_mem);
    GMCMC_ERROR("Failed to initialise ODE solver", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
  }

  // Set integration tolerances
  if ((error = CVodeSStolerances(cvode_mem, options->reltol, options->abstol)) != CV_SUCCESS) {
    CVodeFree(&cvode_mem);
    GMCMC_ERROR("Failed to set ODE solver integration tolerances", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
  }

  // Create a copy of the parameters in case CVODES modifies them
  realtype * sens_params;
  if ((sens_params = malloc(num_params * sizeof(realtype))) == NULL) {
    CVodeFree(&cvode_mem);
    GMCMC_ERROR("Failed to allocate copy of parameter vector for sensitivity analysis", GMCMC_ENOMEM);
  }
  for (size_t i = 0; i < num_params; i++)
    sens_params[i] = (realtype)params[i];

  // Set optional inputs
  cvodes_userdata userdata = { rhs, sens_params };
  if ((error = CVodeSetUserData(cvode_mem, &userdata)) != CV_SUCCESS) {
    CVodeFree(&cvode_mem);
    free(sens_params);
    GMCMC_ERROR("Failed to set ODE solver user data", GMCMC_EINVAL);
  }

  // Attach linear solver module
  if ((error = CVLapackDense(cvode_mem, (int)num_species)) != CV_SUCCESS) {
    CVodeFree(&cvode_mem);
    free(sens_params);
    GMCMC_ERROR("Failed to attach ODE solver module", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
  }

  N_Vector * yS = NULL;
  int * plist = NULL;
  if (num_sens > 0) {
    // Set sensitivity initial conditions
    yS = N_VCloneVectorArray_Serial((int)num_sens, y);
    for (size_t j = 0; j < num_sens; j++) {
      for (size_t i = 0; i < num_species; i++)
        NV_Ith_S(yS[j], i) = sensitivities[(j * num_species + i) * lds];
    }

    // Activate sensitivity calculations
    // Use default finite differences
    if ((error = CVodeSensInit(cvode_mem, (int)num_sens, CV_SIMULTANEOUS, NULL, yS)) != CV_SUCCESS) {
      CVodeFree(&cvode_mem);
      free(sens_params);
      GMCMC_ERROR("Failed to activate ODE solver sensitivity calculations", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
    }

    // Set sensitivity tolerances
    if ((error = CVodeSensEEtolerances(cvode_mem)) != CV_SUCCESS) {
      CVodeFree(&cvode_mem);
      free(sens_params);
      GMCMC_ERROR("Failed to set ODE solver sensitivity tolerances", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
    }

    if (sensi != NULL) {
      if ((plist = malloc(num_sens * sizeof(int))) == NULL) {
        CVodeFree(&cvode_mem);
      free(sens_params);
        GMCMC_ERROR("Failed to allocate sensitivity parameter list", GMCMC_ENOMEM);
      }
      for (size_t i = 0; i < num_sens; i++)
        plist[i] = (int)sensi[i];
    }

    // Set sensitivity analysis optional inputs
    if ((error = CVodeSetSensParams(cvode_mem, sens_params, NULL, plist)) != CV_SUCCESS) {
      CVodeFree(&cvode_mem);
      free(plist);
      free(sens_params);
      GMCMC_ERROR("Failed to set ODE solver sensitivity parameters", (error == CV_ILL_INPUT) ? GMCMC_EINVAL : GMCMC_ENOMEM);
    }
  }

  // Advance solution in time
  realtype tret;
  for (size_t i = 1; i < num_timepoints; i++) {
    if ((error = CVode(cvode_mem, timepoints[i], y, &tret, CV_NORMAL)) != CV_SUCCESS) {
      free(plist);
      free(sens_params);
      CVodeFree(&cvode_mem);
      GMCMC_ERROR("Failed to advance ODE solution", GMCMC_ELINAL);
    }

    for (size_t j = 0; j < num_species; j++)
      simdata[j * lds + i] = NV_Ith_S(y, j);

    // Extract the sensitivity solution
    if (yS != NULL) {
      if ((error = CVodeGetSens(cvode_mem, &tret, yS)) != CV_SUCCESS) {
        free(plist);
        free(sens_params);
        CVodeFree(&cvode_mem);
        GMCMC_ERROR("Failed to extract ODE sensitivity solution", GMCMC_ELINAL);
      }

      for (size_t j = 0; j < num_sens; j++) {
        for (size_t k = 0; k < num_species; k++)
          sensitivities[(j * num_species + k) * lds + i] = NV_Ith_S(yS[j], k);
      }
    }
  }
  N_VDestroy(y);
  if (yS != NULL)
    N_VDestroyVectorArray_Serial(yS, (int)num_sens);

  free(plist);
  free(sens_params);

  // Free solver memory
  CVodeFree(&cvode_mem);

  return 0;
}
int main(int argc, char *argv[])
{
  realtype dx, reltol, abstol, t, tout;
  N_Vector u;
  UserData data;
  void *cvode_mem;
  int iout, flag, my_pe, npes;
  long int local_N, nperpe, nrem, my_base;

  realtype *pbar;
  int is, *plist;
  N_Vector *uS;
  booleantype sensi, err_con;
  int sensi_meth;

  MPI_Comm comm;

  u = NULL;
  data = NULL;
  cvode_mem = NULL;
  pbar = NULL;
  plist = NULL;
  uS = NULL;

  /* Get processor number, total number of pe's, and my_pe. */
  MPI_Init(&argc, &argv);
  comm = MPI_COMM_WORLD;
  MPI_Comm_size(comm, &npes);
  MPI_Comm_rank(comm, &my_pe);

  /* Process arguments */
  ProcessArgs(argc, argv, my_pe, &sensi, &sensi_meth, &err_con);

  /* Set local vector length. */
  nperpe = NEQ/npes;
  nrem = NEQ - npes*nperpe;
  local_N = (my_pe < nrem) ? nperpe+1 : nperpe;
  my_base = (my_pe < nrem) ? my_pe*local_N : my_pe*nperpe + nrem;

  /* USER DATA STRUCTURE */
  data = (UserData) malloc(sizeof *data); /* Allocate data memory */
  data->p = NULL;
  if(check_flag((void *)data, "malloc", 2, my_pe)) MPI_Abort(comm, 1);
  data->comm = comm;
  data->npes = npes;
  data->my_pe = my_pe;
  data->p = (realtype *) malloc(NP * sizeof(realtype));
  if(check_flag((void *)data->p, "malloc", 2, my_pe)) MPI_Abort(comm, 1);
  dx = data->dx = XMAX/((realtype)(MX+1));
  data->p[0] = RCONST(1.0);
  data->p[1] = RCONST(0.5);

  /* INITIAL STATES */
  u = N_VNew_Parallel(comm, local_N, NEQ);    /* Allocate u vector */
  if(check_flag((void *)u, "N_VNew_Parallel", 0, my_pe)) MPI_Abort(comm, 1);
  SetIC(u, dx, local_N, my_base);    /* Initialize u vector */

  /* TOLERANCES */
  reltol = ZERO;                /* Set the tolerances */
  abstol = ATOL;

  /* CVODE_CREATE & CVODE_MALLOC */
  cvode_mem = CVodeCreate(CV_ADAMS, CV_FUNCTIONAL);
  if(check_flag((void *)cvode_mem, "CVodeCreate", 0, my_pe)) MPI_Abort(comm, 1);

  flag = CVodeSetUserData(cvode_mem, data);
  if(check_flag(&flag, "CVodeSetUserData", 1, my_pe)) MPI_Abort(comm, 1);

  flag = CVodeInit(cvode_mem, f, T0, u);
  if(check_flag(&flag, "CVodeInit", 1, my_pe)) MPI_Abort(comm, 1);
  flag = CVodeSStolerances(cvode_mem, reltol, abstol);
  if(check_flag(&flag, "CVodeSStolerances", 1, my_pe)) MPI_Abort(comm, 1);

 
  if (my_pe == 0) {
    printf("\n1-D advection-diffusion equation, mesh size =%3d \n", MX);
    printf("\nNumber of PEs = %3d \n",npes);
  }

  if(sensi) {

    plist = (int *) malloc(NS * sizeof(int));
    if(check_flag((void *)plist, "malloc", 2, my_pe)) MPI_Abort(comm, 1);
    for(is=0; is<NS; is++)
      plist[is] = is; /* sensitivity w.r.t. i-th parameter */

    pbar  = (realtype *) malloc(NS * sizeof(realtype));
    if(check_flag((void *)pbar, "malloc", 2, my_pe)) MPI_Abort(comm, 1);
    for(is=0; is<NS; is++) pbar[is] = data->p[plist[is]];

    uS = N_VCloneVectorArray_Parallel(NS, u);
    if(check_flag((void *)uS, "N_VCloneVectorArray_Parallel", 0, my_pe)) 
      MPI_Abort(comm, 1);
    for(is=0;is<NS;is++)
      N_VConst(ZERO,uS[is]);

    flag = CVodeSensInit1(cvode_mem, NS, sensi_meth, NULL, uS);
    if(check_flag(&flag, "CVodeSensInit1", 1, my_pe)) MPI_Abort(comm, 1);

    flag = CVodeSensEEtolerances(cvode_mem);
    if(check_flag(&flag, "CVodeSensEEtolerances", 1, my_pe)) MPI_Abort(comm, 1);

    flag = CVodeSetSensErrCon(cvode_mem, err_con);
    if(check_flag(&flag, "CVodeSetSensErrCon", 1, my_pe)) MPI_Abort(comm, 1);

    flag = CVodeSetSensDQMethod(cvode_mem, CV_CENTERED, ZERO);
    if(check_flag(&flag, "CVodeSetSensDQMethod", 1, my_pe)) MPI_Abort(comm, 1);

    flag = CVodeSetSensParams(cvode_mem, data->p, pbar, plist);
    if(check_flag(&flag, "CVodeSetSensParams", 1, my_pe)) MPI_Abort(comm, 1);

    if(my_pe == 0) {
      printf("Sensitivity: YES ");
      if(sensi_meth == CV_SIMULTANEOUS)   
        printf("( SIMULTANEOUS +");
      else 
        if(sensi_meth == CV_STAGGERED) printf("( STAGGERED +");
        else                           printf("( STAGGERED1 +");   
      if(err_con) printf(" FULL ERROR CONTROL )");
      else        printf(" PARTIAL ERROR CONTROL )");
    }

  } else {

    if(my_pe == 0) printf("Sensitivity: NO ");

  }

  /* In loop over output points, call CVode, print results, test for error */

  if(my_pe == 0) {
    printf("\n\n");
    printf("============================================================\n");
    printf("     T     Q       H      NST                    Max norm   \n");
    printf("============================================================\n");
  }

  for (iout=1, tout=T1; iout <= NOUT; iout++, tout += DTOUT) {

    flag = CVode(cvode_mem, tout, u, &t, CV_NORMAL);
    if(check_flag(&flag, "CVode", 1, my_pe)) break;
    PrintOutput(cvode_mem, my_pe, t, u);
    if (sensi) {
      flag = CVodeGetSens(cvode_mem, &t, uS);
      if(check_flag(&flag, "CVodeGetSens", 1, my_pe)) break;
      PrintOutputS(my_pe, uS);
    }
    if (my_pe == 0)
      printf("------------------------------------------------------------\n");

  }

  /* Print final statistics */
  if (my_pe == 0) 
    PrintFinalStats(cvode_mem, sensi);

  /* Free memory */
  N_VDestroy(u);                   /* Free the u vector              */
  if (sensi) 
    N_VDestroyVectorArray(uS, NS); /* Free the uS vectors            */
  free(data->p);                   /* Free the p vector              */
  free(data);                      /* Free block of UserData         */
  CVodeFree(&cvode_mem);           /* Free the CVODES problem memory */
  free(pbar);
  if(sensi) free(plist);

  MPI_Finalize();

  return(0);
}
void CVodesIntegrator::initialize(double t0, FuncEval& func)
{
    m_neq = func.neq();
    m_t0 = t0;
    m_time = t0;

    if (m_y) {
        N_VDestroy_Serial(m_y); // free solution vector if already allocated
    }
    m_y = N_VNew_Serial(static_cast<sd_size_t>(m_neq)); // allocate solution vector
    for (size_t i = 0; i < m_neq; i++) {
        NV_Ith_S(m_y, i) = 0.0;
    }
    // check abs tolerance array size
    if (m_itol == CV_SV && m_nabs < m_neq) {
        throw CVodesErr("not enough absolute tolerance values specified.");
    }

    func.getInitialConditions(m_t0, m_neq, NV_DATA_S(m_y));

    if (m_cvode_mem) {
        CVodeFree(&m_cvode_mem);
    }

    /*
     *  Specify the method and the iteration type:
     *      Cantera Defaults:
     *         CV_BDF  - Use BDF methods
     *         CV_NEWTON - use Newton's method
     */
    m_cvode_mem = CVodeCreate(m_method, m_iter);
    if (!m_cvode_mem) {
        throw CVodesErr("CVodeCreate failed.");
    }

    int flag = CVodeInit(m_cvode_mem, cvodes_rhs, m_t0, m_y);
    if (flag != CV_SUCCESS) {
        if (flag == CV_MEM_FAIL) {
            throw CVodesErr("Memory allocation failed.");
        } else if (flag == CV_ILL_INPUT) {
            throw CVodesErr("Illegal value for CVodeInit input argument.");
        } else {
            throw CVodesErr("CVodeInit failed.");
        }
    }
    CVodeSetErrHandlerFn(m_cvode_mem, &cvodes_err, this);

    if (m_itol == CV_SV) {
        flag = CVodeSVtolerances(m_cvode_mem, m_reltol, m_abstol);
    } else {
        flag = CVodeSStolerances(m_cvode_mem, m_reltol, m_abstols);
    }
    if (flag != CV_SUCCESS) {
        if (flag == CV_MEM_FAIL) {
            throw CVodesErr("Memory allocation failed.");
        } else if (flag == CV_ILL_INPUT) {
            throw CVodesErr("Illegal value for CVodeInit input argument.");
        } else {
            throw CVodesErr("CVodeInit failed.");
        }
    }

    // pass a pointer to func in m_data
    m_fdata.reset(new FuncData(&func, func.nparams()));

    flag = CVodeSetUserData(m_cvode_mem, m_fdata.get());
    if (flag != CV_SUCCESS) {
        throw CVodesErr("CVodeSetUserData failed.");
    }
    if (func.nparams() > 0) {
        sensInit(t0, func);
        flag = CVodeSetSensParams(m_cvode_mem, m_fdata->m_pars.data(),
                                  NULL, NULL);
    }
    applyOptions();
}
void CVodesIntegrator::initialize(double t0, FuncEval& func)
{
    m_neq = func.neq();
    m_t0 = t0;
    m_time = t0;

    if (m_y) {
        N_VDestroy_Serial(m_y); // free solution vector if already allocated
    }
    m_y = N_VNew_Serial(static_cast<sd_size_t>(m_neq)); // allocate solution vector
    N_VConst(0.0, m_y);
    // check abs tolerance array size
    if (m_itol == CV_SV && m_nabs < m_neq) {
        throw CanteraError("CVodesIntegrator::initialize",
                           "not enough absolute tolerance values specified.");
    }

    func.getState(NV_DATA_S(m_y));

    if (m_cvode_mem) {
        CVodeFree(&m_cvode_mem);
    }

    //! Specify the method and the iteration type. Cantera Defaults:
    //!        CV_BDF  - Use BDF methods
    //!        CV_NEWTON - use Newton's method
    m_cvode_mem = CVodeCreate(m_method, m_iter);
    if (!m_cvode_mem) {
        throw CanteraError("CVodesIntegrator::initialize",
                           "CVodeCreate failed.");
    }

    int flag = CVodeInit(m_cvode_mem, cvodes_rhs, m_t0, m_y);
    if (flag != CV_SUCCESS) {
        if (flag == CV_MEM_FAIL) {
            throw CanteraError("CVodesIntegrator::initialize",
                               "Memory allocation failed.");
        } else if (flag == CV_ILL_INPUT) {
            throw CanteraError("CVodesIntegrator::initialize",
                               "Illegal value for CVodeInit input argument.");
        } else {
            throw CanteraError("CVodesIntegrator::initialize",
                               "CVodeInit failed.");
        }
    }
    CVodeSetErrHandlerFn(m_cvode_mem, &cvodes_err, this);

    if (m_itol == CV_SV) {
        flag = CVodeSVtolerances(m_cvode_mem, m_reltol, m_abstol);
    } else {
        flag = CVodeSStolerances(m_cvode_mem, m_reltol, m_abstols);
    }
    if (flag != CV_SUCCESS) {
        if (flag == CV_MEM_FAIL) {
            throw CanteraError("CVodesIntegrator::initialize",
                               "Memory allocation failed.");
        } else if (flag == CV_ILL_INPUT) {
            throw CanteraError("CVodesIntegrator::initialize",
                               "Illegal value for CVodeInit input argument.");
        } else {
            throw CanteraError("CVodesIntegrator::initialize",
                               "CVodeInit failed.");
        }
    }

    flag = CVodeSetUserData(m_cvode_mem, &func);
    if (flag != CV_SUCCESS) {
        throw CanteraError("CVodesIntegrator::initialize",
                           "CVodeSetUserData failed.");
    }
    if (func.nparams() > 0) {
        sensInit(t0, func);
        flag = CVodeSetSensParams(m_cvode_mem, func.m_sens_params.data(),
                                  func.m_paramScales.data(), NULL);
        if (flag != CV_SUCCESS) {
            throw CanteraError("CVodesIntegrator::initialize",
                               "CVodeSetSensParams failed.");
        }
    }
    applyOptions();
}