Diff for /imach/src/imach.c between versions 1.14 and 1.91

version 1.14, 2002/02/20 17:05:44 version 1.91, 2003/06/25 15:30:29
Line 1 Line 1
      /* $Id$
 /*********************** Imach **************************************            $State$
   This program computes Healthy Life Expectancies from cross-longitudinal    $Log$
   data. Cross-longitudinal consist in a first survey ("cross") where    Revision 1.91  2003/06/25 15:30:29  brouard
   individuals from different ages are interviewed on their health status    * imach.c (Repository): Duplicated warning errors corrected.
   or degree of  disability. At least a second wave of interviews    (Repository): Elapsed time after each iteration is now output. It
   ("longitudinal") should  measure each new individual health status.    helps to forecast when convergence will be reached. Elapsed time
   Health expectancies are computed from the transistions observed between    is stamped in powell.  We created a new html file for the graphs
   waves and are computed for each degree of severity of disability (number    concerning matrix of covariance. It has extension -cov.htm.
   of life states). More degrees you consider, more time is necessary to  
   reach the Maximum Likelihood of the parameters involved in the model.    Revision 1.90  2003/06/24 12:34:15  brouard
   The simplest model is the multinomial logistic model where pij is    (Module): Some bugs corrected for windows. Also, when
   the probabibility to be observed in state j at the second wave conditional    mle=-1 a template is output in file "or"mypar.txt with the design
   to be observed in state i at the first wave. Therefore the model is:    of the covariance matrix to be input.
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'  
   is a covariate. If you want to have a more complex model than "constant and    Revision 1.89  2003/06/24 12:30:52  brouard
   age", you should modify the program where the markup    (Module): Some bugs corrected for windows. Also, when
     *Covariates have to be included here again* invites you to do it.    mle=-1 a template is output in file "or"mypar.txt with the design
   More covariates you add, less is the speed of the convergence.    of the covariance matrix to be input.
   
   The advantage that this computer programme claims, comes from that if the    Revision 1.88  2003/06/23 17:54:56  brouard
   delay between waves is not identical for each individual, or if some    * imach.c (Repository): Create a sub-directory where all the secondary files are. Only imach, htm, gp and r(imach) are on the main directory. Correct time and other things.
   individual missed an interview, the information is not rounded or lost, but  
   taken into account using an interpolation or extrapolation.    Revision 1.87  2003/06/18 12:26:01  brouard
   hPijx is the probability to be    Version 0.96
   observed in state i at age x+h conditional to the observed state i at age  
   x. The delay 'h' can be split into an exact number (nh*stepm) of    Revision 1.86  2003/06/17 20:04:08  brouard
   unobserved intermediate  states. This elementary transition (by month or    (Module): Change position of html and gnuplot routines and added
   quarter trimester, semester or year) is model as a multinomial logistic.    routine fileappend.
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices  
   and the contribution of each individual to the likelihood is simply hPijx.    Revision 1.85  2003/06/17 13:12:43  brouard
     * imach.c (Repository): Check when date of death was earlier that
   Also this programme outputs the covariance matrix of the parameters but also    current date of interview. It may happen when the death was just
   of the life expectancies. It also computes the prevalence limits.    prior to the death. In this case, dh was negative and likelihood
      was wrong (infinity). We still send an "Error" but patch by
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    assuming that the date of death was just one stepm after the
            Institut national d'études démographiques, Paris.    interview.
   This software have been partly granted by Euro-REVES, a concerted action    (Repository): Because some people have very long ID (first column)
   from the European Union.    we changed int to long in num[] and we added a new lvector for
   It is copyrighted identically to a GNU software product, ie programme and    memory allocation. But we also truncated to 8 characters (left
   software can be distributed freely for non commercial use. Latest version    truncation)
   can be accessed at http://euroreves.ined.fr/imach .    (Repository): No more line truncation errors.
   **********************************************************************/  
      Revision 1.84  2003/06/13 21:44:43  brouard
 #include <math.h>    * imach.c (Repository): Replace "freqsummary" at a correct
 #include <stdio.h>    place. It differs from routine "prevalence" which may be called
 #include <stdlib.h>    many times. Probs is memory consuming and must be used with
 #include <unistd.h>    parcimony.
     Version 0.95a3 (should output exactly the same maximization than 0.8a2)
 #define MAXLINE 256  
 #define FILENAMELENGTH 80    Revision 1.83  2003/06/10 13:39:11  lievre
 /*#define DEBUG*/    *** empty log message ***
 #define windows  
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    Revision 1.82  2003/06/05 15:57:20  brouard
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    Add log in  imach.c and  fullversion number is now printed.
   
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  */
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  /*
      Interpolated Markov Chain
 #define NINTERVMAX 8  
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    Short summary of the programme:
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */    
 #define NCOVMAX 8 /* Maximum number of covariates */    This program computes Healthy Life Expectancies from
 #define MAXN 20000    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
 #define YEARM 12. /* Number of months per year */    first survey ("cross") where individuals from different ages are
 #define AGESUP 130    interviewed on their health status or degree of disability (in the
 #define AGEBASE 40    case of a health survey which is our main interest) -2- at least a
     second wave of interviews ("longitudinal") which measure each change
     (if any) in individual health status.  Health expectancies are
 int nvar;    computed from the time spent in each health state according to a
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;    model. More health states you consider, more time is necessary to reach the
 int npar=NPARMAX;    Maximum Likelihood of the parameters involved in the model.  The
 int nlstate=2; /* Number of live states */    simplest model is the multinomial logistic model where pij is the
 int ndeath=1; /* Number of dead states */    probability to be observed in state j at the second wave
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    conditional to be observed in state i at the first wave. Therefore
 int popbased=0, fprev,lprev;    the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where
     'age' is age and 'sex' is a covariate. If you want to have a more
 int *wav; /* Number of waves for this individuual 0 is possible */    complex model than "constant and age", you should modify the program
 int maxwav; /* Maxim number of waves */    where the markup *Covariates have to be included here again* invites
 int jmin, jmax; /* min, max spacing between 2 waves */    you to do it.  More covariates you add, slower the
 int mle, weightopt;    convergence.
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */  
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */    The advantage of this computer programme, compared to a simple
 double jmean; /* Mean space between 2 waves */    multinomial logistic model, is clear when the delay between waves is not
 double **oldm, **newm, **savm; /* Working pointers to matrices */    identical for each individual. Also, if a individual missed an
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */    intermediate interview, the information is lost, but taken into
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;    account using an interpolation or extrapolation.  
 FILE *ficgp, *fichtm,*ficresprob;  
 FILE *ficreseij;    hPijx is the probability to be observed in state i at age x+h
   char filerese[FILENAMELENGTH];    conditional to the observed state i at age x. The delay 'h' can be
  FILE  *ficresvij;    split into an exact number (nh*stepm) of unobserved intermediate
   char fileresv[FILENAMELENGTH];    states. This elementary transition (by month, quarter,
  FILE  *ficresvpl;    semester or year) is modelled as a multinomial logistic.  The hPx
   char fileresvpl[FILENAMELENGTH];    matrix is simply the matrix product of nh*stepm elementary matrices
     and the contribution of each individual to the likelihood is simply
 #define NR_END 1    hPijx.
 #define FREE_ARG char*  
 #define FTOL 1.0e-10    Also this programme outputs the covariance matrix of the parameters but also
     of the life expectancies. It also computes the stable prevalence. 
 #define NRANSI    
 #define ITMAX 200    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
              Institut national d'études démographiques, Paris.
 #define TOL 2.0e-4    This software have been partly granted by Euro-REVES, a concerted action
     from the European Union.
 #define CGOLD 0.3819660    It is copyrighted identically to a GNU software product, ie programme and
 #define ZEPS 1.0e-10    software can be distributed freely for non commercial use. Latest version
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);    can be accessed at http://euroreves.ined.fr/imach .
   
 #define GOLD 1.618034    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
 #define GLIMIT 100.0    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
 #define TINY 1.0e-20    
     **********************************************************************/
 static double maxarg1,maxarg2;  /*
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))    main
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))    read parameterfile
      read datafile
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))    concatwav
 #define rint(a) floor(a+0.5)    freqsummary
     if (mle >= 1)
 static double sqrarg;      mlikeli
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)    print results files
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}    if mle==1 
        computes hessian
 int imx;    read end of parameter file: agemin, agemax, bage, fage, estepm
 int stepm;        begin-prev-date,...
 /* Stepm, step in month: minimum step interpolation*/    open gnuplot file
     open html file
 int m,nb;    stable prevalence
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;     for age prevalim()
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;    h Pij x
 double **pmmij, ***probs, ***mobaverage;    variance of p varprob
     forecasting if prevfcast==1 prevforecast call prevalence()
 double *weight;    health expectancies
 int **s; /* Status */    Variance-covariance of DFLE
 double *agedc, **covar, idx;    prevalence()
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;     movingaverage()
     varevsij() 
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */    if popbased==1 varevsij(,popbased)
 double ftolhess; /* Tolerance for computing hessian */    total life expectancies
     Variance of stable prevalence
 /**************** split *************************/   end
 static  int split( char *path, char *dirc, char *name )  */
 {  
    char *s;                             /* pointer */  
    int  l1, l2;                         /* length counters */  
    
    l1 = strlen( path );                 /* length of path */  #include <math.h>
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );  #include <stdio.h>
    s = strrchr( path, '\\' );           /* find last / */  #include <stdlib.h>
    if ( s == NULL ) {                   /* no directory, so use current */  #include <unistd.h>
 #if     defined(__bsd__)                /* get current working directory */  
       extern char       *getwd( );  #include <sys/time.h>
   #include <time.h>
       if ( getwd( dirc ) == NULL ) {  #include "timeval.h"
 #else  
       extern char       *getcwd( );  #define MAXLINE 256
   #define GNUPLOTPROGRAM "gnuplot"
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 #endif  #define FILENAMELENGTH 132
          return( GLOCK_ERROR_GETCWD );  /*#define DEBUG*/
       }  /*#define windows*/
       strcpy( name, path );             /* we've got it */  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
    } else {                             /* strip direcotry from path */  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
       s++;                              /* after this, the filename */  
       l2 = strlen( s );                 /* length of filename */  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
       strcpy( name, s );                /* save file name */  
       strncpy( dirc, path, l1 - l2 );   /* now the directory */  #define NINTERVMAX 8
       dirc[l1-l2] = 0;                  /* add zero */  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
    }  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
    l1 = strlen( dirc );                 /* length of directory */  #define NCOVMAX 8 /* Maximum number of covariates */
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }  #define MAXN 20000
    return( 0 );                         /* we're done */  #define YEARM 12. /* Number of months per year */
 }  #define AGESUP 130
   #define AGEBASE 40
   #ifdef unix
 /******************************************/  #define DIRSEPARATOR '/'
   #define ODIRSEPARATOR '\\'
 void replace(char *s, char*t)  #else
 {  #define DIRSEPARATOR '\\'
   int i;  #define ODIRSEPARATOR '/'
   int lg=20;  #endif
   i=0;  
   lg=strlen(t);  /* $Id$ */
   for(i=0; i<= lg; i++) {  /* $State$ */
     (s[i] = t[i]);  
     if (t[i]== '\\') s[i]='/';  char version[]="Imach version 0.96a, June 2003, INED-EUROREVES ";
   }  char fullversion[]="$Revision$ $Date$"; 
 }  int erreur, nberr=0, nbwarn=0; /* Error number, number of errors number of warnings  */
   int nvar;
 int nbocc(char *s, char occ)  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
 {  int npar=NPARMAX;
   int i,j=0;  int nlstate=2; /* Number of live states */
   int lg=20;  int ndeath=1; /* Number of dead states */
   i=0;  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
   lg=strlen(s);  int popbased=0;
   for(i=0; i<= lg; i++) {  
   if  (s[i] == occ ) j++;  int *wav; /* Number of waves for this individuual 0 is possible */
   }  int maxwav; /* Maxim number of waves */
   return j;  int jmin, jmax; /* min, max spacing between 2 waves */
 }  int gipmx, gsw; /* Global variables on the number of contributions 
                      to the likelihood and the sum of weights (done by funcone)*/
 void cutv(char *u,char *v, char*t, char occ)  int mle, weightopt;
 {  int **mw; /* mw[mi][i] is number of the mi wave for this individual */
   int i,lg,j,p=0;  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
   i=0;  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
   for(j=0; j<=strlen(t)-1; j++) {             * wave mi and wave mi+1 is not an exact multiple of stepm. */
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;  double jmean; /* Mean space between 2 waves */
   }  double **oldm, **newm, **savm; /* Working pointers to matrices */
   double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
   lg=strlen(t);  FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
   for(j=0; j<p; j++) {  FILE *ficlog, *ficrespow;
     (u[j] = t[j]);  int globpr; /* Global variable for printing or not */
   }  double fretone; /* Only one call to likelihood */
      u[p]='\0';  long ipmx; /* Number of contributions */
   double sw; /* Sum of weights */
    for(j=0; j<= lg; j++) {  char fileresilk[FILENAMELENGTH]; /* File of individual contributions to the likelihood */
     if (j>=(p+1))(v[j-p-1] = t[j]);  FILE *ficresilk;
   }  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
 }  FILE *ficresprobmorprev;
   FILE *fichtm, *fichtmcov; /* Html File */
 /********************** nrerror ********************/  FILE *ficreseij;
   char filerese[FILENAMELENGTH];
 void nrerror(char error_text[])  FILE  *ficresvij;
 {  char fileresv[FILENAMELENGTH];
   fprintf(stderr,"ERREUR ...\n");  FILE  *ficresvpl;
   fprintf(stderr,"%s\n",error_text);  char fileresvpl[FILENAMELENGTH];
   exit(1);  char title[MAXLINE];
 }  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
 /*********************** vector *******************/  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
 double *vector(int nl, int nh)  char tmpout[FILENAMELENGTH]; 
 {  char command[FILENAMELENGTH];
   double *v;  int  outcmd=0;
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));  
   if (!v) nrerror("allocation failure in vector");  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
   return v-nl+NR_END;  char lfileres[FILENAMELENGTH];
 }  char filelog[FILENAMELENGTH]; /* Log file */
   char filerest[FILENAMELENGTH];
 /************************ free vector ******************/  char fileregp[FILENAMELENGTH];
 void free_vector(double*v, int nl, int nh)  char popfile[FILENAMELENGTH];
 {  
   free((FREE_ARG)(v+nl-NR_END));  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH], optionfilehtmcov[FILENAMELENGTH] ;
 }  
   struct timeval start_time, end_time, curr_time, last_time, forecast_time;
 /************************ivector *******************************/  struct timezone tzp;
 int *ivector(long nl,long nh)  extern int gettimeofday();
 {  struct tm tmg, tm, tmf, *gmtime(), *localtime();
   int *v;  long time_value;
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));  extern long time();
   if (!v) nrerror("allocation failure in ivector");  char strcurr[80], strfor[80];
   return v-nl+NR_END;  
 }  #define NR_END 1
   #define FREE_ARG char*
 /******************free ivector **************************/  #define FTOL 1.0e-10
 void free_ivector(int *v, long nl, long nh)  
 {  #define NRANSI 
   free((FREE_ARG)(v+nl-NR_END));  #define ITMAX 200 
 }  
   #define TOL 2.0e-4 
 /******************* imatrix *******************************/  
 int **imatrix(long nrl, long nrh, long ncl, long nch)  #define CGOLD 0.3819660 
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */  #define ZEPS 1.0e-10 
 {  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;  
   int **m;  #define GOLD 1.618034 
    #define GLIMIT 100.0 
   /* allocate pointers to rows */  #define TINY 1.0e-20 
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));  
   if (!m) nrerror("allocation failure 1 in matrix()");  static double maxarg1,maxarg2;
   m += NR_END;  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   m -= nrl;  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
      
    #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   /* allocate rows and set pointers to them */  #define rint(a) floor(a+0.5)
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  static double sqrarg;
   m[nrl] += NR_END;  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
   m[nrl] -= ncl;  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
    
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;  int imx; 
    int stepm;
   /* return pointer to array of pointers to rows */  /* Stepm, step in month: minimum step interpolation*/
   return m;  
 }  int estepm;
   /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
 /****************** free_imatrix *************************/  
 void free_imatrix(m,nrl,nrh,ncl,nch)  int m,nb;
       int **m;  long *num;
       long nch,ncl,nrh,nrl;  int firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;
      /* free an int matrix allocated by imatrix() */  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
 {  double **pmmij, ***probs;
   free((FREE_ARG) (m[nrl]+ncl-NR_END));  double dateintmean=0;
   free((FREE_ARG) (m+nrl-NR_END));  
 }  double *weight;
   int **s; /* Status */
 /******************* matrix *******************************/  double *agedc, **covar, idx;
 double **matrix(long nrl, long nrh, long ncl, long nch)  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
 {  
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
   double **m;  double ftolhess; /* Tolerance for computing hessian */
   
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  /**************** split *************************/
   if (!m) nrerror("allocation failure 1 in matrix()");  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
   m += NR_END;  {
   m -= nrl;    char  *ss;                            /* pointer */
     int   l1, l2;                         /* length counters */
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    l1 = strlen(path );                   /* length of path */
   m[nrl] += NR_END;    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
   m[nrl] -= ncl;    ss= strrchr( path, DIRSEPARATOR );            /* find last / */
     if ( ss == NULL ) {                   /* no directory, so use current */
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
   return m;        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
 }      /* get current working directory */
       /*    extern  char* getcwd ( char *buf , int len);*/
 /*************************free matrix ************************/      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)        return( GLOCK_ERROR_GETCWD );
 {      }
   free((FREE_ARG)(m[nrl]+ncl-NR_END));      strcpy( name, path );               /* we've got it */
   free((FREE_ARG)(m+nrl-NR_END));    } else {                              /* strip direcotry from path */
 }      ss++;                               /* after this, the filename */
       l2 = strlen( ss );                  /* length of filename */
 /******************* ma3x *******************************/      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)      strcpy( name, ss );         /* save file name */
 {      strncpy( dirc, path, l1 - l2 );     /* now the directory */
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;      dirc[l1-l2] = 0;                    /* add zero */
   double ***m;    }
     l1 = strlen( dirc );                  /* length of directory */
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    /*#ifdef windows
   if (!m) nrerror("allocation failure 1 in matrix()");    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
   m += NR_END;  #else
   m -= nrl;    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
   #endif
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    */
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    ss = strrchr( name, '.' );            /* find last / */
   m[nrl] += NR_END;    ss++;
   m[nrl] -= ncl;    strcpy(ext,ss);                       /* save extension */
     l1= strlen( name);
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    l2= strlen(ss)+1;
     strncpy( finame, name, l1-l2);
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    finame[l1-l2]= 0;
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    return( 0 );                          /* we're done */
   m[nrl][ncl] += NR_END;  }
   m[nrl][ncl] -= nll;  
   for (j=ncl+1; j<=nch; j++)  
     m[nrl][j]=m[nrl][j-1]+nlay;  /******************************************/
    
   for (i=nrl+1; i<=nrh; i++) {  void replace_back_to_slash(char *s, char*t)
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;  {
     for (j=ncl+1; j<=nch; j++)    int i;
       m[i][j]=m[i][j-1]+nlay;    int lg=0;
   }    i=0;
   return m;    lg=strlen(t);
 }    for(i=0; i<= lg; i++) {
       (s[i] = t[i]);
 /*************************free ma3x ************************/      if (t[i]== '\\') s[i]='/';
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    }
 {  }
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));  
   free((FREE_ARG)(m[nrl]+ncl-NR_END));  int nbocc(char *s, char occ)
   free((FREE_ARG)(m+nrl-NR_END));  {
 }    int i,j=0;
     int lg=20;
 /***************** f1dim *************************/    i=0;
 extern int ncom;    lg=strlen(s);
 extern double *pcom,*xicom;    for(i=0; i<= lg; i++) {
 extern double (*nrfunc)(double []);    if  (s[i] == occ ) j++;
      }
 double f1dim(double x)    return j;
 {  }
   int j;  
   double f;  void cutv(char *u,char *v, char*t, char occ)
   double *xt;  {
      /* cuts string t into u and v where u is ended by char occ excluding it
   xt=vector(1,ncom);       and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];       gives u="abcedf" and v="ghi2j" */
   f=(*nrfunc)(xt);    int i,lg,j,p=0;
   free_vector(xt,1,ncom);    i=0;
   return f;    for(j=0; j<=strlen(t)-1; j++) {
 }      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
     }
 /*****************brent *************************/  
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    lg=strlen(t);
 {    for(j=0; j<p; j++) {
   int iter;      (u[j] = t[j]);
   double a,b,d,etemp;    }
   double fu,fv,fw,fx;       u[p]='\0';
   double ftemp;  
   double p,q,r,tol1,tol2,u,v,w,x,xm;     for(j=0; j<= lg; j++) {
   double e=0.0;      if (j>=(p+1))(v[j-p-1] = t[j]);
      }
   a=(ax < cx ? ax : cx);  }
   b=(ax > cx ? ax : cx);  
   x=w=v=bx;  /********************** nrerror ********************/
   fw=fv=fx=(*f)(x);  
   for (iter=1;iter<=ITMAX;iter++) {  void nrerror(char error_text[])
     xm=0.5*(a+b);  {
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    fprintf(stderr,"ERREUR ...\n");
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/    fprintf(stderr,"%s\n",error_text);
     printf(".");fflush(stdout);    exit(EXIT_FAILURE);
 #ifdef DEBUG  }
     printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);  /*********************** vector *******************/
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  double *vector(int nl, int nh)
 #endif  {
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    double *v;
       *xmin=x;    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
       return fx;    if (!v) nrerror("allocation failure in vector");
     }    return v-nl+NR_END;
     ftemp=fu;  }
     if (fabs(e) > tol1) {  
       r=(x-w)*(fx-fv);  /************************ free vector ******************/
       q=(x-v)*(fx-fw);  void free_vector(double*v, int nl, int nh)
       p=(x-v)*q-(x-w)*r;  {
       q=2.0*(q-r);    free((FREE_ARG)(v+nl-NR_END));
       if (q > 0.0) p = -p;  }
       q=fabs(q);  
       etemp=e;  /************************ivector *******************************/
       e=d;  int *ivector(long nl,long nh)
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))  {
         d=CGOLD*(e=(x >= xm ? a-x : b-x));    int *v;
       else {    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
         d=p/q;    if (!v) nrerror("allocation failure in ivector");
         u=x+d;    return v-nl+NR_END;
         if (u-a < tol2 || b-u < tol2)  }
           d=SIGN(tol1,xm-x);  
       }  /******************free ivector **************************/
     } else {  void free_ivector(int *v, long nl, long nh)
       d=CGOLD*(e=(x >= xm ? a-x : b-x));  {
     }    free((FREE_ARG)(v+nl-NR_END));
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));  }
     fu=(*f)(u);  
     if (fu <= fx) {  /************************lvector *******************************/
       if (u >= x) a=x; else b=x;  long *lvector(long nl,long nh)
       SHFT(v,w,x,u)  {
         SHFT(fv,fw,fx,fu)    long *v;
         } else {    v=(long *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(long)));
           if (u < x) a=u; else b=u;    if (!v) nrerror("allocation failure in ivector");
           if (fu <= fw || w == x) {    return v-nl+NR_END;
             v=w;  }
             w=u;  
             fv=fw;  /******************free lvector **************************/
             fw=fu;  void free_lvector(long *v, long nl, long nh)
           } else if (fu <= fv || v == x || v == w) {  {
             v=u;    free((FREE_ARG)(v+nl-NR_END));
             fv=fu;  }
           }  
         }  /******************* imatrix *******************************/
   }  int **imatrix(long nrl, long nrh, long ncl, long nch) 
   nrerror("Too many iterations in brent");       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
   *xmin=x;  { 
   return fx;    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
 }    int **m; 
     
 /****************** mnbrak ***********************/    /* allocate pointers to rows */ 
     m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,    if (!m) nrerror("allocation failure 1 in matrix()"); 
             double (*func)(double))    m += NR_END; 
 {    m -= nrl; 
   double ulim,u,r,q, dum;    
   double fu;    
      /* allocate rows and set pointers to them */ 
   *fa=(*func)(*ax);    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
   *fb=(*func)(*bx);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
   if (*fb > *fa) {    m[nrl] += NR_END; 
     SHFT(dum,*ax,*bx,dum)    m[nrl] -= ncl; 
       SHFT(dum,*fb,*fa,dum)    
       }    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
   *cx=(*bx)+GOLD*(*bx-*ax);    
   *fc=(*func)(*cx);    /* return pointer to array of pointers to rows */ 
   while (*fb > *fc) {    return m; 
     r=(*bx-*ax)*(*fb-*fc);  } 
     q=(*bx-*cx)*(*fb-*fa);  
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/  /****************** free_imatrix *************************/
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));  void free_imatrix(m,nrl,nrh,ncl,nch)
     ulim=(*bx)+GLIMIT*(*cx-*bx);        int **m;
     if ((*bx-u)*(u-*cx) > 0.0) {        long nch,ncl,nrh,nrl; 
       fu=(*func)(u);       /* free an int matrix allocated by imatrix() */ 
     } else if ((*cx-u)*(u-ulim) > 0.0) {  { 
       fu=(*func)(u);    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
       if (fu < *fc) {    free((FREE_ARG) (m+nrl-NR_END)); 
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))  } 
           SHFT(*fb,*fc,fu,(*func)(u))  
           }  /******************* matrix *******************************/
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {  double **matrix(long nrl, long nrh, long ncl, long nch)
       u=ulim;  {
       fu=(*func)(u);    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
     } else {    double **m;
       u=(*cx)+GOLD*(*cx-*bx);  
       fu=(*func)(u);    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
     }    if (!m) nrerror("allocation failure 1 in matrix()");
     SHFT(*ax,*bx,*cx,u)    m += NR_END;
       SHFT(*fa,*fb,*fc,fu)    m -= nrl;
       }  
 }    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
     if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 /*************** linmin ************************/    m[nrl] += NR_END;
     m[nrl] -= ncl;
 int ncom;  
 double *pcom,*xicom;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
 double (*nrfunc)(double []);    return m;
      /* print *(*(m+1)+70) or print m[1][70]; print m+1 or print &(m[1]) 
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))     */
 {  }
   double brent(double ax, double bx, double cx,  
                double (*f)(double), double tol, double *xmin);  /*************************free matrix ************************/
   double f1dim(double x);  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,  {
               double *fc, double (*func)(double));    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   int j;    free((FREE_ARG)(m+nrl-NR_END));
   double xx,xmin,bx,ax;  }
   double fx,fb,fa;  
    /******************* ma3x *******************************/
   ncom=n;  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
   pcom=vector(1,n);  {
   xicom=vector(1,n);    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
   nrfunc=func;    double ***m;
   for (j=1;j<=n;j++) {  
     pcom[j]=p[j];    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
     xicom[j]=xi[j];    if (!m) nrerror("allocation failure 1 in matrix()");
   }    m += NR_END;
   ax=0.0;    m -= nrl;
   xx=1.0;  
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
 #ifdef DEBUG    m[nrl] += NR_END;
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    m[nrl] -= ncl;
 #endif  
   for (j=1;j<=n;j++) {    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     xi[j] *= xmin;  
     p[j] += xi[j];    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
   }    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   free_vector(xicom,1,n);    m[nrl][ncl] += NR_END;
   free_vector(pcom,1,n);    m[nrl][ncl] -= nll;
 }    for (j=ncl+1; j<=nch; j++) 
       m[nrl][j]=m[nrl][j-1]+nlay;
 /*************** powell ************************/    
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,    for (i=nrl+1; i<=nrh; i++) {
             double (*func)(double []))      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
 {      for (j=ncl+1; j<=nch; j++) 
   void linmin(double p[], double xi[], int n, double *fret,        m[i][j]=m[i][j-1]+nlay;
               double (*func)(double []));    }
   int i,ibig,j;    return m; 
   double del,t,*pt,*ptt,*xit;    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
   double fp,fptt;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
   double *xits;    */
   pt=vector(1,n);  }
   ptt=vector(1,n);  
   xit=vector(1,n);  /*************************free ma3x ************************/
   xits=vector(1,n);  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
   *fret=(*func)(p);  {
   for (j=1;j<=n;j++) pt[j]=p[j];    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
   for (*iter=1;;++(*iter)) {    free((FREE_ARG)(m[nrl]+ncl-NR_END));
     fp=(*fret);    free((FREE_ARG)(m+nrl-NR_END));
     ibig=0;  }
     del=0.0;  
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);  /***************** f1dim *************************/
     for (i=1;i<=n;i++)  extern int ncom; 
       printf(" %d %.12f",i, p[i]);  extern double *pcom,*xicom;
     printf("\n");  extern double (*nrfunc)(double []); 
     for (i=1;i<=n;i++) {   
       for (j=1;j<=n;j++) xit[j]=xi[j][i];  double f1dim(double x) 
       fptt=(*fret);  { 
 #ifdef DEBUG    int j; 
       printf("fret=%lf \n",*fret);    double f;
 #endif    double *xt; 
       printf("%d",i);fflush(stdout);   
       linmin(p,xit,n,fret,func);    xt=vector(1,ncom); 
       if (fabs(fptt-(*fret)) > del) {    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
         del=fabs(fptt-(*fret));    f=(*nrfunc)(xt); 
         ibig=i;    free_vector(xt,1,ncom); 
       }    return f; 
 #ifdef DEBUG  } 
       printf("%d %.12e",i,(*fret));  
       for (j=1;j<=n;j++) {  /*****************brent *************************/
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
         printf(" x(%d)=%.12e",j,xit[j]);  { 
       }    int iter; 
       for(j=1;j<=n;j++)    double a,b,d,etemp;
         printf(" p=%.12e",p[j]);    double fu,fv,fw,fx;
       printf("\n");    double ftemp;
 #endif    double p,q,r,tol1,tol2,u,v,w,x,xm; 
     }    double e=0.0; 
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {   
 #ifdef DEBUG    a=(ax < cx ? ax : cx); 
       int k[2],l;    b=(ax > cx ? ax : cx); 
       k[0]=1;    x=w=v=bx; 
       k[1]=-1;    fw=fv=fx=(*f)(x); 
       printf("Max: %.12e",(*func)(p));    for (iter=1;iter<=ITMAX;iter++) { 
       for (j=1;j<=n;j++)      xm=0.5*(a+b); 
         printf(" %.12e",p[j]);      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       printf("\n");      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
       for(l=0;l<=1;l++) {      printf(".");fflush(stdout);
         for (j=1;j<=n;j++) {      fprintf(ficlog,".");fflush(ficlog);
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  #ifdef DEBUG
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);      printf("br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
         }      fprintf(ficlog,"br %d,x=%.10e xm=%.10e b=%.10e a=%.10e tol=%.10e tol1=%.10e tol2=%.10e x-xm=%.10e fx=%.12e fu=%.12e,fw=%.12e,ftemp=%.12e,ftol=%.12e\n",iter,x,xm,b,a,tol,tol1,tol2,(x-xm),fx,fu,fw,ftemp,ftol);
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
       }  #endif
 #endif      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
         *xmin=x; 
         return fx; 
       free_vector(xit,1,n);      } 
       free_vector(xits,1,n);      ftemp=fu;
       free_vector(ptt,1,n);      if (fabs(e) > tol1) { 
       free_vector(pt,1,n);        r=(x-w)*(fx-fv); 
       return;        q=(x-v)*(fx-fw); 
     }        p=(x-v)*q-(x-w)*r; 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");        q=2.0*(q-r); 
     for (j=1;j<=n;j++) {        if (q > 0.0) p = -p; 
       ptt[j]=2.0*p[j]-pt[j];        q=fabs(q); 
       xit[j]=p[j]-pt[j];        etemp=e; 
       pt[j]=p[j];        e=d; 
     }        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
     fptt=(*func)(ptt);          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
     if (fptt < fp) {        else { 
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);          d=p/q; 
       if (t < 0.0) {          u=x+d; 
         linmin(p,xit,n,fret,func);          if (u-a < tol2 || b-u < tol2) 
         for (j=1;j<=n;j++) {            d=SIGN(tol1,xm-x); 
           xi[j][ibig]=xi[j][n];        } 
           xi[j][n]=xit[j];      } else { 
         }        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
 #ifdef DEBUG      } 
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
         for(j=1;j<=n;j++)      fu=(*f)(u); 
           printf(" %.12e",xit[j]);      if (fu <= fx) { 
         printf("\n");        if (u >= x) a=x; else b=x; 
 #endif        SHFT(v,w,x,u) 
       }          SHFT(fv,fw,fx,fu) 
     }          } else { 
   }            if (u < x) a=u; else b=u; 
 }            if (fu <= fw || w == x) { 
               v=w; 
 /**** Prevalence limit ****************/              w=u; 
               fv=fw; 
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)              fw=fu; 
 {            } else if (fu <= fv || v == x || v == w) { 
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit              v=u; 
      matrix by transitions matrix until convergence is reached */              fv=fu; 
             } 
   int i, ii,j,k;          } 
   double min, max, maxmin, maxmax,sumnew=0.;    } 
   double **matprod2();    nrerror("Too many iterations in brent"); 
   double **out, cov[NCOVMAX], **pmij();    *xmin=x; 
   double **newm;    return fx; 
   double agefin, delaymax=50 ; /* Max number of years to converge */  } 
   
   for (ii=1;ii<=nlstate+ndeath;ii++)  /****************** mnbrak ***********************/
     for (j=1;j<=nlstate+ndeath;j++){  
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
     }              double (*func)(double)) 
   { 
    cov[1]=1.;    double ulim,u,r,q, dum;
      double fu; 
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */   
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    *fa=(*func)(*ax); 
     newm=savm;    *fb=(*func)(*bx); 
     /* Covariates have to be included here again */    if (*fb > *fa) { 
      cov[2]=agefin;      SHFT(dum,*ax,*bx,dum) 
          SHFT(dum,*fb,*fa,dum) 
       for (k=1; k<=cptcovn;k++) {        } 
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];    *cx=(*bx)+GOLD*(*bx-*ax); 
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/    *fc=(*func)(*cx); 
       }    while (*fb > *fc) { 
       for (k=1; k<=cptcovage;k++)      r=(*bx-*ax)*(*fb-*fc); 
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];      q=(*bx-*cx)*(*fb-*fa); 
       for (k=1; k<=cptcovprod;k++)      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
       ulim=(*bx)+GLIMIT*(*cx-*bx); 
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/      if ((*bx-u)*(u-*cx) > 0.0) { 
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/        fu=(*func)(u); 
       } else if ((*cx-u)*(u-ulim) > 0.0) { 
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);        fu=(*func)(u); 
         if (fu < *fc) { 
     savm=oldm;          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
     oldm=newm;            SHFT(*fb,*fc,fu,(*func)(u)) 
     maxmax=0.;            } 
     for(j=1;j<=nlstate;j++){      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
       min=1.;        u=ulim; 
       max=0.;        fu=(*func)(u); 
       for(i=1; i<=nlstate; i++) {      } else { 
         sumnew=0;        u=(*cx)+GOLD*(*cx-*bx); 
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];        fu=(*func)(u); 
         prlim[i][j]= newm[i][j]/(1-sumnew);      } 
         max=FMAX(max,prlim[i][j]);      SHFT(*ax,*bx,*cx,u) 
         min=FMIN(min,prlim[i][j]);        SHFT(*fa,*fb,*fc,fu) 
       }        } 
       maxmin=max-min;  } 
       maxmax=FMAX(maxmax,maxmin);  
     }  /*************** linmin ************************/
     if(maxmax < ftolpl){  
       return prlim;  int ncom; 
     }  double *pcom,*xicom;
   }  double (*nrfunc)(double []); 
 }   
   void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
 /*************** transition probabilities ***************/  { 
     double brent(double ax, double bx, double cx, 
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )                 double (*f)(double), double tol, double *xmin); 
 {    double f1dim(double x); 
   double s1, s2;    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
   /*double t34;*/                double *fc, double (*func)(double)); 
   int i,j,j1, nc, ii, jj;    int j; 
     double xx,xmin,bx,ax; 
     for(i=1; i<= nlstate; i++){    double fx,fb,fa;
     for(j=1; j<i;j++){   
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    ncom=n; 
         /*s2 += param[i][j][nc]*cov[nc];*/    pcom=vector(1,n); 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    xicom=vector(1,n); 
         /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/    nrfunc=func; 
       }    for (j=1;j<=n;j++) { 
       ps[i][j]=s2;      pcom[j]=p[j]; 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/      xicom[j]=xi[j]; 
     }    } 
     for(j=i+1; j<=nlstate+ndeath;j++){    ax=0.0; 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){    xx=1.0; 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
       }  #ifdef DEBUG
       ps[i][j]=(s2);    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
     }    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   }  #endif
     /*ps[3][2]=1;*/    for (j=1;j<=n;j++) { 
       xi[j] *= xmin; 
   for(i=1; i<= nlstate; i++){      p[j] += xi[j]; 
      s1=0;    } 
     for(j=1; j<i; j++)    free_vector(xicom,1,n); 
       s1+=exp(ps[i][j]);    free_vector(pcom,1,n); 
     for(j=i+1; j<=nlstate+ndeath; j++)  } 
       s1+=exp(ps[i][j]);  
     ps[i][i]=1./(s1+1.);  char *asc_diff_time(long time_sec, char ascdiff[])
     for(j=1; j<i; j++)  {
       ps[i][j]= exp(ps[i][j])*ps[i][i];    long sec_left, days, hours, minutes;
     for(j=i+1; j<=nlstate+ndeath; j++)    days = (time_sec) / (60*60*24);
       ps[i][j]= exp(ps[i][j])*ps[i][i];    sec_left = (time_sec) % (60*60*24);
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */    hours = (sec_left) / (60*60) ;
   } /* end i */    sec_left = (sec_left) %(60*60);
     minutes = (sec_left) /60;
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    sec_left = (sec_left) % (60);
     for(jj=1; jj<= nlstate+ndeath; jj++){    sprintf(ascdiff,"%d day(s) %d hour(s) %d minute(s) %d second(s)",days, hours, minutes, sec_left);  
       ps[ii][jj]=0;    return ascdiff;
       ps[ii][ii]=1;  }
     }  
   }  /*************** powell ************************/
   void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
               double (*func)(double [])) 
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  { 
     for(jj=1; jj<= nlstate+ndeath; jj++){    void linmin(double p[], double xi[], int n, double *fret, 
      printf("%lf ",ps[ii][jj]);                double (*func)(double [])); 
    }    int i,ibig,j; 
     printf("\n ");    double del,t,*pt,*ptt,*xit;
     }    double fp,fptt;
     printf("\n ");printf("%lf ",cov[2]);*/    double *xits;
 /*    int niterf, itmp;
   for(i=1; i<= npar; i++) printf("%f ",x[i]);  
   goto end;*/    pt=vector(1,n); 
     return ps;    ptt=vector(1,n); 
 }    xit=vector(1,n); 
     xits=vector(1,n); 
 /**************** Product of 2 matrices ******************/    *fret=(*func)(p); 
     for (j=1;j<=n;j++) pt[j]=p[j]; 
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)    for (*iter=1;;++(*iter)) { 
 {      fp=(*fret); 
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times      ibig=0; 
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */      del=0.0; 
   /* in, b, out are matrice of pointers which should have been initialized      last_time=curr_time;
      before: only the contents of out is modified. The function returns      (void) gettimeofday(&curr_time,&tzp);
      a pointer to pointers identical to out */      printf("\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);fflush(stdout);
   long i, j, k;      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f %ld sec. %ld sec.",*iter,*fret, curr_time.tv_sec-last_time.tv_sec, curr_time.tv_sec-start_time.tv_sec);
   for(i=nrl; i<= nrh; i++)      fprintf(ficrespow,"%d %.12f %ld",*iter,*fret,curr_time.tv_sec-start_time.tv_sec);
     for(k=ncolol; k<=ncoloh; k++)      for (i=1;i<=n;i++) {
       for(j=ncl,out[i][k]=0.; j<=nch; j++)        printf(" %d %.12f",i, p[i]);
         out[i][k] +=in[i][j]*b[j][k];        fprintf(ficlog," %d %.12lf",i, p[i]);
         fprintf(ficrespow," %.12lf", p[i]);
   return out;      }
 }      printf("\n");
       fprintf(ficlog,"\n");
       fprintf(ficrespow,"\n");fflush(ficrespow);
 /************* Higher Matrix Product ***************/      if(*iter <=3){
         tm = *localtime(&curr_time.tv_sec);
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )        asctime_r(&tm,strcurr);
 {        forecast_time=curr_time;
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month        itmp = strlen(strcurr);
      duration (i.e. until        if(strcurr[itmp-1]=='\n')
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.          strcurr[itmp-1]='\0';
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step        printf("\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
      (typically every 2 years instead of every month which is too big).        fprintf(ficlog,"\nConsidering the time needed for this last iteration #%d: %ld seconds,\n",*iter,curr_time.tv_sec-last_time.tv_sec);
      Model is determined by parameters x and covariates have to be        for(niterf=10;niterf<=30;niterf+=10){
      included manually here.          forecast_time.tv_sec=curr_time.tv_sec+(niterf-*iter)*(curr_time.tv_sec-last_time.tv_sec);
           tmf = *localtime(&forecast_time.tv_sec);
      */          asctime_r(&tmf,strfor);
   /*      strcpy(strfor,asctime(&tmf)); */
   int i, j, d, h, k;          itmp = strlen(strfor);
   double **out, cov[NCOVMAX];          if(strfor[itmp-1]=='\n')
   double **newm;          strfor[itmp-1]='\0';
           printf("   - if your program needs %d iterations to converge, convergence will be \n   reached in %s or\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   /* Hstepm could be zero and should return the unit matrix */          fprintf(ficlog,"   - if your program needs %d iterations to converge, convergence will be \n   reached in %s or\n   on %s (current time is %s);\n",niterf, asc_diff_time(forecast_time.tv_sec-curr_time.tv_sec,tmpout),strfor,strcurr);
   for (i=1;i<=nlstate+ndeath;i++)        }
     for (j=1;j<=nlstate+ndeath;j++){      }
       oldm[i][j]=(i==j ? 1.0 : 0.0);      for (i=1;i<=n;i++) { 
       po[i][j][0]=(i==j ? 1.0 : 0.0);        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
     }        fptt=(*fret); 
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */  #ifdef DEBUG
   for(h=1; h <=nhstepm; h++){        printf("fret=%lf \n",*fret);
     for(d=1; d <=hstepm; d++){        fprintf(ficlog,"fret=%lf \n",*fret);
       newm=savm;  #endif
       /* Covariates have to be included here again */        printf("%d",i);fflush(stdout);
       cov[1]=1.;        fprintf(ficlog,"%d",i);fflush(ficlog);
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;        linmin(p,xit,n,fret,func); 
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];        if (fabs(fptt-(*fret)) > del) { 
       for (k=1; k<=cptcovage;k++)          del=fabs(fptt-(*fret)); 
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];          ibig=i; 
       for (k=1; k<=cptcovprod;k++)        } 
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];  #ifdef DEBUG
         printf("%d %.12e",i,(*fret));
         fprintf(ficlog,"%d %.12e",i,(*fret));
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/        for (j=1;j<=n;j++) {
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,          printf(" x(%d)=%.12e",j,xit[j]);
                    pmij(pmmij,cov,ncovmodel,x,nlstate));          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
       savm=oldm;        }
       oldm=newm;        for(j=1;j<=n;j++) {
     }          printf(" p=%.12e",p[j]);
     for(i=1; i<=nlstate+ndeath; i++)          fprintf(ficlog," p=%.12e",p[j]);
       for(j=1;j<=nlstate+ndeath;j++) {        }
         po[i][j][h]=newm[i][j];        printf("\n");
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);        fprintf(ficlog,"\n");
          */  #endif
       }      } 
   } /* end h */      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
   return po;  #ifdef DEBUG
 }        int k[2],l;
         k[0]=1;
         k[1]=-1;
 /*************** log-likelihood *************/        printf("Max: %.12e",(*func)(p));
 double func( double *x)        fprintf(ficlog,"Max: %.12e",(*func)(p));
 {        for (j=1;j<=n;j++) {
   int i, ii, j, k, mi, d, kk;          printf(" %.12e",p[j]);
   double l, ll[NLSTATEMAX], cov[NCOVMAX];          fprintf(ficlog," %.12e",p[j]);
   double **out;        }
   double sw; /* Sum of weights */        printf("\n");
   double lli; /* Individual log likelihood */        fprintf(ficlog,"\n");
   long ipmx;        for(l=0;l<=1;l++) {
   /*extern weight */          for (j=1;j<=n;j++) {
   /* We are differentiating ll according to initial status */            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   /*for(i=1;i<imx;i++)            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
     printf(" %d\n",s[4][i]);          }
   */          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
   cov[1]=1.;          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         }
   for(k=1; k<=nlstate; k++) ll[k]=0.;  #endif
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){  
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];  
     for(mi=1; mi<= wav[i]-1; mi++){        free_vector(xit,1,n); 
       for (ii=1;ii<=nlstate+ndeath;ii++)        free_vector(xits,1,n); 
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);        free_vector(ptt,1,n); 
       for(d=0; d<dh[mi][i]; d++){        free_vector(pt,1,n); 
         newm=savm;        return; 
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;      } 
         for (kk=1; kk<=cptcovage;kk++) {      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];      for (j=1;j<=n;j++) { 
         }        ptt[j]=2.0*p[j]-pt[j]; 
                xit[j]=p[j]-pt[j]; 
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,        pt[j]=p[j]; 
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));      } 
         savm=oldm;      fptt=(*func)(ptt); 
         oldm=newm;      if (fptt < fp) { 
                t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
                if (t < 0.0) { 
       } /* end mult */          linmin(p,xit,n,fret,func); 
                for (j=1;j<=n;j++) { 
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);            xi[j][ibig]=xi[j][n]; 
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/            xi[j][n]=xit[j]; 
       ipmx +=1;          }
       sw += weight[i];  #ifdef DEBUG
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
     } /* end of wave */          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
   } /* end of individual */          for(j=1;j<=n;j++){
             printf(" %.12e",xit[j]);
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];            fprintf(ficlog," %.12e",xit[j]);
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */          }
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */          printf("\n");
   return -l;          fprintf(ficlog,"\n");
 }  #endif
         }
       } 
 /*********** Maximum Likelihood Estimation ***************/    } 
   } 
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  
 {  /**** Prevalence limit (stable prevalence)  ****************/
   int i,j, iter;  
   double **xi,*delti;  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
   double fret;  {
   xi=matrix(1,npar,1,npar);    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
   for (i=1;i<=npar;i++)       matrix by transitions matrix until convergence is reached */
     for (j=1;j<=npar;j++)  
       xi[i][j]=(i==j ? 1.0 : 0.0);    int i, ii,j,k;
   printf("Powell\n");    double min, max, maxmin, maxmax,sumnew=0.;
   powell(p,xi,npar,ftol,&iter,&fret,func);    double **matprod2();
     double **out, cov[NCOVMAX], **pmij();
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));    double **newm;
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));    double agefin, delaymax=50 ; /* Max number of years to converge */
   
 }    for (ii=1;ii<=nlstate+ndeath;ii++)
       for (j=1;j<=nlstate+ndeath;j++){
 /**** Computes Hessian and covariance matrix ***/        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))      }
 {  
   double  **a,**y,*x,pd;     cov[1]=1.;
   double **hess;   
   int i, j,jk;   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   int *indx;    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
       newm=savm;
   double hessii(double p[], double delta, int theta, double delti[]);      /* Covariates have to be included here again */
   double hessij(double p[], double delti[], int i, int j);       cov[2]=agefin;
   void lubksb(double **a, int npar, int *indx, double b[]) ;    
   void ludcmp(double **a, int npar, int *indx, double *d) ;        for (k=1; k<=cptcovn;k++) {
           cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   hess=matrix(1,npar,1,npar);          /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/
         }
   printf("\nCalculation of the hessian matrix. Wait...\n");        for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
   for (i=1;i<=npar;i++){        for (k=1; k<=cptcovprod;k++)
     printf("%d",i);fflush(stdout);          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
     hess[i][i]=hessii(p,ftolhess,i,delti);  
     /*printf(" %f ",p[i]);*/        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
     /*printf(" %lf ",hess[i][i]);*/        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   }        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
        out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   for (i=1;i<=npar;i++) {  
     for (j=1;j<=npar;j++)  {      savm=oldm;
       if (j>i) {      oldm=newm;
         printf(".%d%d",i,j);fflush(stdout);      maxmax=0.;
         hess[i][j]=hessij(p,delti,i,j);      for(j=1;j<=nlstate;j++){
         hess[j][i]=hess[i][j];            min=1.;
         /*printf(" %lf ",hess[i][j]);*/        max=0.;
       }        for(i=1; i<=nlstate; i++) {
     }          sumnew=0;
   }          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   printf("\n");          prlim[i][j]= newm[i][j]/(1-sumnew);
           max=FMAX(max,prlim[i][j]);
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");          min=FMIN(min,prlim[i][j]);
          }
   a=matrix(1,npar,1,npar);        maxmin=max-min;
   y=matrix(1,npar,1,npar);        maxmax=FMAX(maxmax,maxmin);
   x=vector(1,npar);      }
   indx=ivector(1,npar);      if(maxmax < ftolpl){
   for (i=1;i<=npar;i++)        return prlim;
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];      }
   ludcmp(a,npar,indx,&pd);    }
   }
   for (j=1;j<=npar;j++) {  
     for (i=1;i<=npar;i++) x[i]=0;  /*************** transition probabilities ***************/ 
     x[j]=1;  
     lubksb(a,npar,indx,x);  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
     for (i=1;i<=npar;i++){  {
       matcov[i][j]=x[i];    double s1, s2;
     }    /*double t34;*/
   }    int i,j,j1, nc, ii, jj;
   
   printf("\n#Hessian matrix#\n");      for(i=1; i<= nlstate; i++){
   for (i=1;i<=npar;i++) {      for(j=1; j<i;j++){
     for (j=1;j<=npar;j++) {        for (nc=1, s2=0.;nc <=ncovmodel; nc++){
       printf("%.3e ",hess[i][j]);          /*s2 += param[i][j][nc]*cov[nc];*/
     }          s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
     printf("\n");          /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/
   }        }
         ps[i][j]=s2;
   /* Recompute Inverse */        /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/
   for (i=1;i<=npar;i++)      }
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];      for(j=i+1; j<=nlstate+ndeath;j++){
   ludcmp(a,npar,indx,&pd);        for (nc=1, s2=0.;nc <=ncovmodel; nc++){
           s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
   /*  printf("\n#Hessian matrix recomputed#\n");          /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/
         }
   for (j=1;j<=npar;j++) {        ps[i][j]=s2;
     for (i=1;i<=npar;i++) x[i]=0;      }
     x[j]=1;    }
     lubksb(a,npar,indx,x);      /*ps[3][2]=1;*/
     for (i=1;i<=npar;i++){  
       y[i][j]=x[i];    for(i=1; i<= nlstate; i++){
       printf("%.3e ",y[i][j]);       s1=0;
     }      for(j=1; j<i; j++)
     printf("\n");        s1+=exp(ps[i][j]);
   }      for(j=i+1; j<=nlstate+ndeath; j++)
   */        s1+=exp(ps[i][j]);
       ps[i][i]=1./(s1+1.);
   free_matrix(a,1,npar,1,npar);      for(j=1; j<i; j++)
   free_matrix(y,1,npar,1,npar);        ps[i][j]= exp(ps[i][j])*ps[i][i];
   free_vector(x,1,npar);      for(j=i+1; j<=nlstate+ndeath; j++)
   free_ivector(indx,1,npar);        ps[i][j]= exp(ps[i][j])*ps[i][i];
   free_matrix(hess,1,npar,1,npar);      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     } /* end i */
   
 }    for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       for(jj=1; jj<= nlstate+ndeath; jj++){
 /*************** hessian matrix ****************/        ps[ii][jj]=0;
 double hessii( double x[], double delta, int theta, double delti[])        ps[ii][ii]=1;
 {      }
   int i;    }
   int l=1, lmax=20;  
   double k1,k2;  
   double p2[NPARMAX+1];    /*   for(ii=1; ii<= nlstate+ndeath; ii++){
   double res;      for(jj=1; jj<= nlstate+ndeath; jj++){
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;       printf("%lf ",ps[ii][jj]);
   double fx;     }
   int k=0,kmax=10;      printf("\n ");
   double l1;      }
       printf("\n ");printf("%lf ",cov[2]);*/
   fx=func(x);  /*
   for (i=1;i<=npar;i++) p2[i]=x[i];    for(i=1; i<= npar; i++) printf("%f ",x[i]);
   for(l=0 ; l <=lmax; l++){    goto end;*/
     l1=pow(10,l);      return ps;
     delts=delt;  }
     for(k=1 ; k <kmax; k=k+1){  
       delt = delta*(l1*k);  /**************** Product of 2 matrices ******************/
       p2[theta]=x[theta] +delt;  
       k1=func(p2)-fx;  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
       p2[theta]=x[theta]-delt;  {
       k2=func(p2)-fx;    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
       /*res= (k1-2.0*fx+k2)/delt/delt; */       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */    /* in, b, out are matrice of pointers which should have been initialized 
             before: only the contents of out is modified. The function returns
 #ifdef DEBUG       a pointer to pointers identical to out */
       printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);    long i, j, k;
 #endif    for(i=nrl; i<= nrh; i++)
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */      for(k=ncolol; k<=ncoloh; k++)
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        for(j=ncl,out[i][k]=0.; j<=nch; j++)
         k=kmax;          out[i][k] +=in[i][j]*b[j][k];
       }  
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */    return out;
         k=kmax; l=lmax*10.;  }
       }  
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){  
         delts=delt;  /************* Higher Matrix Product ***************/
       }  
     }  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
   }  {
   delti[theta]=delts;    /* Computes the transition matrix starting at age 'age' over 
   return res;       'nhstepm*hstepm*stepm' months (i.e. until
         age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
 }       nhstepm*hstepm matrices. 
        Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
 double hessij( double x[], double delti[], int thetai,int thetaj)       (typically every 2 years instead of every month which is too big 
 {       for the memory).
   int i;       Model is determined by parameters x and covariates have to be 
   int l=1, l1, lmax=20;       included manually here. 
   double k1,k2,k3,k4,res,fx;  
   double p2[NPARMAX+1];       */
   int k;  
     int i, j, d, h, k;
   fx=func(x);    double **out, cov[NCOVMAX];
   for (k=1; k<=2; k++) {    double **newm;
     for (i=1;i<=npar;i++) p2[i]=x[i];  
     p2[thetai]=x[thetai]+delti[thetai]/k;    /* Hstepm could be zero and should return the unit matrix */
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;    for (i=1;i<=nlstate+ndeath;i++)
     k1=func(p2)-fx;      for (j=1;j<=nlstate+ndeath;j++){
          oldm[i][j]=(i==j ? 1.0 : 0.0);
     p2[thetai]=x[thetai]+delti[thetai]/k;        po[i][j][0]=(i==j ? 1.0 : 0.0);
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      }
     k2=func(p2)-fx;    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
      for(h=1; h <=nhstepm; h++){
     p2[thetai]=x[thetai]-delti[thetai]/k;      for(d=1; d <=hstepm; d++){
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;        newm=savm;
     k3=func(p2)-fx;        /* Covariates have to be included here again */
          cov[1]=1.;
     p2[thetai]=x[thetai]-delti[thetai]/k;        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     k4=func(p2)-fx;        for (k=1; k<=cptcovage;k++)
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
 #ifdef DEBUG        for (k=1; k<=cptcovprod;k++)
     printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
 #endif  
   }  
   return res;        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
 }        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
 /************** Inverse of matrix **************/                     pmij(pmmij,cov,ncovmodel,x,nlstate));
 void ludcmp(double **a, int n, int *indx, double *d)        savm=oldm;
 {        oldm=newm;
   int i,imax,j,k;      }
   double big,dum,sum,temp;      for(i=1; i<=nlstate+ndeath; i++)
   double *vv;        for(j=1;j<=nlstate+ndeath;j++) {
            po[i][j][h]=newm[i][j];
   vv=vector(1,n);          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
   *d=1.0;           */
   for (i=1;i<=n;i++) {        }
     big=0.0;    } /* end h */
     for (j=1;j<=n;j++)    return po;
       if ((temp=fabs(a[i][j])) > big) big=temp;  }
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");  
     vv[i]=1.0/big;  
   }  /*************** log-likelihood *************/
   for (j=1;j<=n;j++) {  double func( double *x)
     for (i=1;i<j;i++) {  {
       sum=a[i][j];    int i, ii, j, k, mi, d, kk;
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];    double l, ll[NLSTATEMAX], cov[NCOVMAX];
       a[i][j]=sum;    double **out;
     }    double sw; /* Sum of weights */
     big=0.0;    double lli; /* Individual log likelihood */
     for (i=j;i<=n;i++) {    int s1, s2;
       sum=a[i][j];    double bbh, survp;
       for (k=1;k<j;k++)    long ipmx;
         sum -= a[i][k]*a[k][j];    /*extern weight */
       a[i][j]=sum;    /* We are differentiating ll according to initial status */
       if ( (dum=vv[i]*fabs(sum)) >= big) {    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
         big=dum;    /*for(i=1;i<imx;i++) 
         imax=i;      printf(" %d\n",s[4][i]);
       }    */
     }    cov[1]=1.;
     if (j != imax) {  
       for (k=1;k<=n;k++) {    for(k=1; k<=nlstate; k++) ll[k]=0.;
         dum=a[imax][k];  
         a[imax][k]=a[j][k];    if(mle==1){
         a[j][k]=dum;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       *d = -(*d);        for(mi=1; mi<= wav[i]-1; mi++){
       vv[imax]=vv[j];          for (ii=1;ii<=nlstate+ndeath;ii++)
     }            for (j=1;j<=nlstate+ndeath;j++){
     indx[j]=imax;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     if (a[j][j] == 0.0) a[j][j]=TINY;              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     if (j != n) {            }
       dum=1.0/(a[j][j]);          for(d=0; d<dh[mi][i]; d++){
       for (i=j+1;i<=n;i++) a[i][j] *= dum;            newm=savm;
     }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   }            for (kk=1; kk<=cptcovage;kk++) {
   free_vector(vv,1,n);  /* Doesn't work */              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
 ;            }
 }            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                          1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
 void lubksb(double **a, int n, int *indx, double b[])            savm=oldm;
 {            oldm=newm;
   int i,ii=0,ip,j;          } /* end mult */
   double sum;        
            /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
   for (i=1;i<=n;i++) {          /* But now since version 0.9 we anticipate for bias and large stepm.
     ip=indx[i];           * If stepm is larger than one month (smallest stepm) and if the exact delay 
     sum=b[ip];           * (in months) between two waves is not a multiple of stepm, we rounded to 
     b[ip]=b[i];           * the nearest (and in case of equal distance, to the lowest) interval but now
     if (ii)           * we keep into memory the bias bh[mi][i] and also the previous matrix product
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];           * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
     else if (sum) ii=i;           * probability in order to take into account the bias as a fraction of the way
     b[i]=sum;           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
   }           * -stepm/2 to stepm/2 .
   for (i=n;i>=1;i--) {           * For stepm=1 the results are the same as for previous versions of Imach.
     sum=b[i];           * For stepm > 1 the results are less biased than in previous versions. 
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];           */
     b[i]=sum/a[i][i];          s1=s[mw[mi][i]][i];
   }          s2=s[mw[mi+1][i]][i];
 }          bbh=(double)bh[mi][i]/(double)stepm; 
           /* bias is positive if real duration
 /************ Frequencies ********************/           * is higher than the multiple of stepm and negative otherwise.
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax)           */
 {  /* Some frequencies */          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
            if( s2 > nlstate){ 
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;            /* i.e. if s2 is a death state and if the date of death is known then the contribution
   double ***freq; /* Frequencies */               to the likelihood is the probability to die between last step unit time and current 
   double *pp;               step unit time, which is also the differences between probability to die before dh 
   double pos;               and probability to die before dh-stepm . 
   FILE *ficresp;               In version up to 0.92 likelihood was computed
   char fileresp[FILENAMELENGTH];          as if date of death was unknown. Death was treated as any other
           health state: the date of the interview describes the actual state
   pp=vector(1,nlstate);          and not the date of a change in health state. The former idea was
  probs= ma3x(1,130 ,1,8, 1,8);          to consider that at each interview the state was recorded
   strcpy(fileresp,"p");          (healthy, disable or death) and IMaCh was corrected; but when we
   strcat(fileresp,fileres);          introduced the exact date of death then we should have modified
   if((ficresp=fopen(fileresp,"w"))==NULL) {          the contribution of an exact death to the likelihood. This new
     printf("Problem with prevalence resultfile: %s\n", fileresp);          contribution is smaller and very dependent of the step unit
     exit(0);          stepm. It is no more the probability to die between last interview
   }          and month of death but the probability to survive from last
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);          interview up to one month before death multiplied by the
   j1=0;          probability to die within a month. Thanks to Chris
           Jackson for correcting this bug.  Former versions increased
   j=cptcoveff;          mortality artificially. The bad side is that we add another loop
   if (cptcovn<1) {j=1;ncodemax[1]=1;}          which slows down the processing. The difference can be up to 10%
           lower mortality.
   for(k1=1; k1<=j;k1++){            */
    for(i1=1; i1<=ncodemax[k1];i1++){            lli=log(out[s1][s2] - savm[s1][s2]);
        j1++;          }else{
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
          scanf("%d", i);*/            /*  lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2]));*/ /* linear interpolation */
         for (i=-1; i<=nlstate+ndeath; i++)            } 
          for (jk=-1; jk<=nlstate+ndeath; jk++)            /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
            for(m=agemin; m <= agemax+3; m++)          /*if(lli ==000.0)*/
              freq[i][jk][m]=0;          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
                  ipmx +=1;
        for (i=1; i<=imx; i++) {          sw += weight[i];
          bool=1;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
          if  (cptcovn>0) {        } /* end of wave */
            for (z1=1; z1<=cptcoveff; z1++)      } /* end of individual */
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    }  else if(mle==2){
                bool=0;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
          }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           if (bool==1) {        for(mi=1; mi<= wav[i]-1; mi++){
            for(m=fprev; m<=lprev; m++){          for (ii=1;ii<=nlstate+ndeath;ii++)
              if(agev[m][i]==0) agev[m][i]=agemax+1;            for (j=1;j<=nlstate+ndeath;j++){
              if(agev[m][i]==1) agev[m][i]=agemax+2;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];              savm[ii][j]=(ii==j ? 1.0 : 0.0);
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];            }
            }          for(d=0; d<=dh[mi][i]; d++){
          }            newm=savm;
        }            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         if  (cptcovn>0) {            for (kk=1; kk<=cptcovage;kk++) {
          fprintf(ficresp, "\n#********** Variable ");              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);            }
        fprintf(ficresp, "**********\n#");            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
        for(i=1; i<=nlstate;i++)            savm=oldm;
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);            oldm=newm;
        fprintf(ficresp, "\n");          } /* end mult */
                
   for(i=(int)agemin; i <= (int)agemax+3; i++){          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
     if(i==(int)agemax+3)          /* But now since version 0.9 we anticipate for bias and large stepm.
       printf("Total");           * If stepm is larger than one month (smallest stepm) and if the exact delay 
     else           * (in months) between two waves is not a multiple of stepm, we rounded to 
       printf("Age %d", i);           * the nearest (and in case of equal distance, to the lowest) interval but now
     for(jk=1; jk <=nlstate ; jk++){           * we keep into memory the bias bh[mi][i] and also the previous matrix product
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)           * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
         pp[jk] += freq[jk][m][i];           * probability in order to take into account the bias as a fraction of the way
     }           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
     for(jk=1; jk <=nlstate ; jk++){           * -stepm/2 to stepm/2 .
       for(m=-1, pos=0; m <=0 ; m++)           * For stepm=1 the results are the same as for previous versions of Imach.
         pos += freq[jk][m][i];           * For stepm > 1 the results are less biased than in previous versions. 
       if(pp[jk]>=1.e-10)           */
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);          s1=s[mw[mi][i]][i];
       else          s2=s[mw[mi+1][i]][i];
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);          bbh=(double)bh[mi][i]/(double)stepm; 
     }          /* bias is positive if real duration
            * is higher than the multiple of stepm and negative otherwise.
      for(jk=1; jk <=nlstate ; jk++){           */
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
         pp[jk] += freq[jk][m][i];          /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
      }          /*lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.-+bh)*out[s1][s2])); */ /* exponential interpolation */
           /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
     for(jk=1,pos=0; jk <=nlstate ; jk++)          /*if(lli ==000.0)*/
       pos += pp[jk];          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
     for(jk=1; jk <=nlstate ; jk++){          ipmx +=1;
       if(pos>=1.e-5)          sw += weight[i];
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
       else        } /* end of wave */
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);      } /* end of individual */
       if( i <= (int) agemax){    }  else if(mle==3){  /* exponential inter-extrapolation */
         if(pos>=1.e-5){      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           probs[i][jk][j1]= pp[jk]/pos;        for(mi=1; mi<= wav[i]-1; mi++){
           /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/          for (ii=1;ii<=nlstate+ndeath;ii++)
         }            for (j=1;j<=nlstate+ndeath;j++){
       else              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       }            }
     }          for(d=0; d<dh[mi][i]; d++){
     for(jk=-1; jk <=nlstate+ndeath; jk++)            newm=savm;
       for(m=-1; m <=nlstate+ndeath; m++)            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);            for (kk=1; kk<=cptcovage;kk++) {
     if(i <= (int) agemax)              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
       fprintf(ficresp,"\n");            }
     printf("\n");            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
     }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     }            savm=oldm;
  }            oldm=newm;
            } /* end mult */
   fclose(ficresp);        
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
   free_vector(pp,1,nlstate);          /* But now since version 0.9 we anticipate for bias and large stepm.
            * If stepm is larger than one month (smallest stepm) and if the exact delay 
 }  /* End of Freq */           * (in months) between two waves is not a multiple of stepm, we rounded to 
            * the nearest (and in case of equal distance, to the lowest) interval but now
 /************* Waves Concatenation ***************/           * we keep into memory the bias bh[mi][i] and also the previous matrix product
            * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)           * probability in order to take into account the bias as a fraction of the way
 {           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.           * -stepm/2 to stepm/2 .
      Death is a valid wave (if date is known).           * For stepm=1 the results are the same as for previous versions of Imach.
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i           * For stepm > 1 the results are less biased than in previous versions. 
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]           */
      and mw[mi+1][i]. dh depends on stepm.          s1=s[mw[mi][i]][i];
      */          s2=s[mw[mi+1][i]][i];
           bbh=(double)bh[mi][i]/(double)stepm; 
   int i, mi, m;          /* bias is positive if real duration
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;           * is higher than the multiple of stepm and negative otherwise.
      double sum=0., jmean=0.;*/           */
           /* lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*(savm[s1][s2])):log((1.+bbh)*out[s1][s2])); */ /* linear interpolation */
   int j, k=0,jk, ju, jl;          lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
   double sum=0.;          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   jmin=1e+5;          /*if(lli ==000.0)*/
   jmax=-1;          /*printf("bbh= %f lli=%f savm=%f out=%f %d\n",bbh,lli,savm[s1][s2], out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]],i); */
   jmean=0.;          ipmx +=1;
   for(i=1; i<=imx; i++){          sw += weight[i];
     mi=0;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     m=firstpass;        } /* end of wave */
     while(s[m][i] <= nlstate){      } /* end of individual */
       if(s[m][i]>=1)    }else if (mle==4){  /* ml=4 no inter-extrapolation */
         mw[++mi][i]=m;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
       if(m >=lastpass)        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
         break;        for(mi=1; mi<= wav[i]-1; mi++){
       else          for (ii=1;ii<=nlstate+ndeath;ii++)
         m++;            for (j=1;j<=nlstate+ndeath;j++){
     }/* end while */              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     if (s[m][i] > nlstate){              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       mi++;     /* Death is another wave */            }
       /* if(mi==0)  never been interviewed correctly before death */          for(d=0; d<dh[mi][i]; d++){
          /* Only death is a correct wave */            newm=savm;
       mw[mi][i]=m;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
     }            for (kk=1; kk<=cptcovage;kk++) {
               cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     wav[i]=mi;            }
     if(mi==0)          
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
             savm=oldm;
   for(i=1; i<=imx; i++){            oldm=newm;
     for(mi=1; mi<wav[i];mi++){          } /* end mult */
       if (stepm <=0)        
         dh[mi][i]=1;          s1=s[mw[mi][i]][i];
       else{          s2=s[mw[mi+1][i]][i];
         if (s[mw[mi+1][i]][i] > nlstate) {          if( s2 > nlstate){ 
           if (agedc[i] < 2*AGESUP) {            lli=log(out[s1][s2] - savm[s1][s2]);
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);          }else{
           if(j==0) j=1;  /* Survives at least one month after exam */            lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
           k=k+1;          }
           if (j >= jmax) jmax=j;          ipmx +=1;
           if (j <= jmin) jmin=j;          sw += weight[i];
           sum=sum+j;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
           /* if (j<10) printf("j=%d num=%d ",j,i); */  /*      printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
           }        } /* end of wave */
         }      } /* end of individual */
         else{    }else{  /* ml=5 no inter-extrapolation no jackson =0.8a */
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
           k=k+1;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
           if (j >= jmax) jmax=j;        for(mi=1; mi<= wav[i]-1; mi++){
           else if (j <= jmin)jmin=j;          for (ii=1;ii<=nlstate+ndeath;ii++)
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */            for (j=1;j<=nlstate+ndeath;j++){
           sum=sum+j;              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         }              savm[ii][j]=(ii==j ? 1.0 : 0.0);
         jk= j/stepm;            }
         jl= j -jk*stepm;          for(d=0; d<dh[mi][i]; d++){
         ju= j -(jk+1)*stepm;            newm=savm;
         if(jl <= -ju)            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
           dh[mi][i]=jk;            for (kk=1; kk<=cptcovage;kk++) {
         else              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
           dh[mi][i]=jk+1;            }
         if(dh[mi][i]==0)          
           dh[mi][i]=1; /* At least one step */            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
       }                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     }            savm=oldm;
   }            oldm=newm;
   jmean=sum/k;          } /* end mult */
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);        
  }          s1=s[mw[mi][i]][i];
 /*********** Tricode ****************************/          s2=s[mw[mi+1][i]][i];
 void tricode(int *Tvar, int **nbcode, int imx)          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
 {          ipmx +=1;
   int Ndum[20],ij=1, k, j, i;          sw += weight[i];
   int cptcode=0;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   cptcoveff=0;          /*printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]);*/
          } /* end of wave */
   for (k=0; k<19; k++) Ndum[k]=0;      } /* end of individual */
   for (k=1; k<=7; k++) ncodemax[k]=0;    } /* End of if */
     for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     for (i=1; i<=imx; i++) {    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
       ij=(int)(covar[Tvar[j]][i]);    return -l;
       Ndum[ij]++;  }
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/  
       if (ij > cptcode) cptcode=ij;  /*************** log-likelihood *************/
     }  double funcone( double *x)
   {
     for (i=0; i<=cptcode; i++) {    /* Same as likeli but slower because of a lot of printf and if */
       if(Ndum[i]!=0) ncodemax[j]++;    int i, ii, j, k, mi, d, kk;
     }    double l, ll[NLSTATEMAX], cov[NCOVMAX];
     ij=1;    double **out;
     double lli; /* Individual log likelihood */
     double llt;
     for (i=1; i<=ncodemax[j]; i++) {    int s1, s2;
       for (k=0; k<=19; k++) {    double bbh, survp;
         if (Ndum[k] != 0) {    /*extern weight */
           nbcode[Tvar[j]][ij]=k;    /* We are differentiating ll according to initial status */
           ij++;    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
         }    /*for(i=1;i<imx;i++) 
         if (ij > ncodemax[j]) break;      printf(" %d\n",s[4][i]);
       }      */
     }    cov[1]=1.;
   }    
     for(k=1; k<=nlstate; k++) ll[k]=0.;
  for (k=0; k<19; k++) Ndum[k]=0;  
     for (i=1,ipmx=0, sw=0.; i<=imx; i++){
  for (i=1; i<=ncovmodel-2; i++) {      for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
       ij=Tvar[i];      for(mi=1; mi<= wav[i]-1; mi++){
       Ndum[ij]++;        for (ii=1;ii<=nlstate+ndeath;ii++)
     }          for (j=1;j<=nlstate+ndeath;j++){
             oldm[ii][j]=(ii==j ? 1.0 : 0.0);
  ij=1;            savm[ii][j]=(ii==j ? 1.0 : 0.0);
  for (i=1; i<=10; i++) {          }
    if((Ndum[i]!=0) && (i<=ncov)){        for(d=0; d<dh[mi][i]; d++){
      Tvaraff[ij]=i;          newm=savm;
      ij++;          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
    }          for (kk=1; kk<=cptcovage;kk++) {
  }            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
            }
     cptcoveff=ij-1;          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
 }                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
           savm=oldm;
 /*********** Health Expectancies ****************/          oldm=newm;
         } /* end mult */
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)        
 {        s1=s[mw[mi][i]][i];
   /* Health expectancies */        s2=s[mw[mi+1][i]][i];
   int i, j, nhstepm, hstepm, h;        bbh=(double)bh[mi][i]/(double)stepm; 
   double age, agelim,hf;        /* bias is positive if real duration
   double ***p3mat;         * is higher than the multiple of stepm and negative otherwise.
           */
   fprintf(ficreseij,"# Health expectancies\n");        if( s2 > nlstate && (mle <5) ){  /* Jackson */
   fprintf(ficreseij,"# Age");          lli=log(out[s1][s2] - savm[s1][s2]);
   for(i=1; i<=nlstate;i++)        } else if (mle==1){
     for(j=1; j<=nlstate;j++)          lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       fprintf(ficreseij," %1d-%1d",i,j);        } else if(mle==2){
   fprintf(ficreseij,"\n");          lli= (savm[s1][s2]>(double)1.e-8 ?log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* linear interpolation */
         } else if(mle==3){  /* exponential inter-extrapolation */
   hstepm=1*YEARM; /*  Every j years of age (in month) */          lli= (savm[s1][s2]>(double)1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2])); /* exponential inter-extrapolation */
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        } else if (mle==4){  /* mle=4 no inter-extrapolation */
           lli=log(out[s1][s2]); /* Original formula */
   agelim=AGESUP;        } else{  /* ml>=5 no inter-extrapolation no jackson =0.8a */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */          lli=log(out[s1][s2]); /* Original formula */
     /* nhstepm age range expressed in number of stepm */        } /* End of if */
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);        ipmx +=1;
     /* Typically if 20 years = 20*12/6=40 stepm */        sw += weight[i];
     if (stepm >= YEARM) hstepm=1;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */  /*       printf("i=%6d s1=%1d s2=%1d mi=%1d mw=%1d dh=%3d prob=%10.6f w=%6.4f out=%10.6f sav=%10.6f\n",i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],out[s1][s2],savm[s1][s2]); */
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        if(globpr){
     /* Computed by stepm unit matrices, product of hstepm matrices, stored          fprintf(ficresilk,"%9d %6d %1d %1d %1d %1d %3d %10.6f %6.4f\
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */   %10.6f %10.6f %10.6f ", \
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);                    num[i],i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],
                   2*weight[i]*lli,out[s1][s2],savm[s1][s2]);
           for(k=1,llt=0.,l=0.; k<=nlstate; k++){
     for(i=1; i<=nlstate;i++)            llt +=ll[k]*gipmx/gsw;
       for(j=1; j<=nlstate;j++)            fprintf(ficresilk," %10.6f",-ll[k]*gipmx/gsw);
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){          }
           eij[i][j][(int)age] +=p3mat[i][j][h];          fprintf(ficresilk," %10.6f\n", -llt);
         }        }
          } /* end of wave */
     hf=1;    } /* end of individual */
     if (stepm >= YEARM) hf=stepm/YEARM;    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
     fprintf(ficreseij,"%.0f",age );    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
     for(i=1; i<=nlstate;i++)    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
       for(j=1; j<=nlstate;j++){    if(globpr==0){ /* First time we count the contributions and weights */
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);      gipmx=ipmx;
       }      gsw=sw;
     fprintf(ficreseij,"\n");    }
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    return -l;
   }  }
 }  
   char *subdirf(char fileres[])
 /************ Variance ******************/  {
 void varevsij(char fileres[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)    /* Caution optionfilefiname is hidden */
 {    strcpy(tmpout,optionfilefiname);
   /* Variance of health expectancies */    strcat(tmpout,"/"); /* Add to the right */
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/    strcat(tmpout,fileres);
   double **newm;    return tmpout;
   double **dnewm,**doldm;  }
   int i, j, nhstepm, hstepm, h;  
   int k, cptcode;  char *subdirf2(char fileres[], char *preop)
   double *xp;  {
   double **gp, **gm;    
   double ***gradg, ***trgradg;    strcpy(tmpout,optionfilefiname);
   double ***p3mat;    strcat(tmpout,"/");
   double age,agelim;    strcat(tmpout,preop);
   int theta;    strcat(tmpout,fileres);
     return tmpout;
    fprintf(ficresvij,"# Covariances of life expectancies\n");  }
   fprintf(ficresvij,"# Age");  char *subdirf3(char fileres[], char *preop, char *preop2)
   for(i=1; i<=nlstate;i++)  {
     for(j=1; j<=nlstate;j++)    
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);    strcpy(tmpout,optionfilefiname);
   fprintf(ficresvij,"\n");    strcat(tmpout,"/");
     strcat(tmpout,preop);
   xp=vector(1,npar);    strcat(tmpout,preop2);
   dnewm=matrix(1,nlstate,1,npar);    strcat(tmpout,fileres);
   doldm=matrix(1,nlstate,1,nlstate);    return tmpout;
    }
   hstepm=1*YEARM; /* Every year of age */  
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */  void likelione(FILE *ficres,double p[], int npar, int nlstate, int *globpri, long *ipmx, double *sw, double *fretone, double (*funcone)(double []))
   agelim = AGESUP;  {
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    /* This routine should help understanding what is done with 
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */       the selection of individuals/waves and
     if (stepm >= YEARM) hstepm=1;       to check the exact contribution to the likelihood.
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */       Plotting could be done.
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);     */
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);    int k;
     gp=matrix(0,nhstepm,1,nlstate);  
     gm=matrix(0,nhstepm,1,nlstate);    if(*globpri !=0){ /* Just counts and sums, no printings */
       strcpy(fileresilk,"ilk"); 
     for(theta=1; theta <=npar; theta++){      strcat(fileresilk,fileres);
       for(i=1; i<=npar; i++){ /* Computes gradient */      if((ficresilk=fopen(fileresilk,"w"))==NULL) {
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        printf("Problem with resultfile: %s\n", fileresilk);
       }        fprintf(ficlog,"Problem with resultfile: %s\n", fileresilk);
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);        }
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);      fprintf(ficresilk, "#individual(line's_record) s1 s2 wave# effective_wave# number_of_matrices_product pij weight -2ln(pij)*weight 0pij_x 0pij_(x-stepm) cumulating_loglikeli_by_health_state(reweighted=-2ll*weightXnumber_of_contribs/sum_of_weights) and_total\n");
       fprintf(ficresilk, "#num_i i s1 s2 mi mw dh likeli weight 2wlli out sav ");
       if (popbased==1) {      /*  i,s1,s2,mi,mw[mi][i],dh[mi][i],exp(lli),weight[i],2*weight[i]*lli,out[s1][s2],savm[s1][s2]); */
         for(i=1; i<=nlstate;i++)      for(k=1; k<=nlstate; k++) 
           prlim[i][i]=probs[(int)age][i][ij];        fprintf(ficresilk," -2*gipw/gsw*weight*ll[%d]++",k);
       }      fprintf(ficresilk," -2*gipw/gsw*weight*ll(total)\n");
          }
       for(j=1; j<= nlstate; j++){  
         for(h=0; h<=nhstepm; h++){    *fretone=(*funcone)(p);
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)    if(*globpri !=0){
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];      fclose(ficresilk);
         }      fprintf(fichtm,"\n<br>File of contributions to the likelihood: <a href=\"%s\">%s</a><br>\n",subdirf(fileresilk),subdirf(fileresilk));
       }      fflush(fichtm); 
        } 
       for(i=1; i<=npar; i++) /* Computes gradient */    return;
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  }
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);    
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);  
   /*********** Maximum Likelihood Estimation ***************/
       if (popbased==1) {  
         for(i=1; i<=nlstate;i++)  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
           prlim[i][i]=probs[(int)age][i][ij];  {
       }    int i,j, iter;
     double **xi;
       for(j=1; j<= nlstate; j++){    double fret;
         for(h=0; h<=nhstepm; h++){    double fretone; /* Only one call to likelihood */
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)    char filerespow[FILENAMELENGTH];
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];    xi=matrix(1,npar,1,npar);
         }    for (i=1;i<=npar;i++)
       }      for (j=1;j<=npar;j++)
         xi[i][j]=(i==j ? 1.0 : 0.0);
       for(j=1; j<= nlstate; j++)    printf("Powell\n");  fprintf(ficlog,"Powell\n");
         for(h=0; h<=nhstepm; h++){    strcpy(filerespow,"pow"); 
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];    strcat(filerespow,fileres);
         }    if((ficrespow=fopen(filerespow,"w"))==NULL) {
     } /* End theta */      printf("Problem with resultfile: %s\n", filerespow);
       fprintf(ficlog,"Problem with resultfile: %s\n", filerespow);
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);    }
     fprintf(ficrespow,"# Powell\n# iter -2*LL");
     for(h=0; h<=nhstepm; h++)    for (i=1;i<=nlstate;i++)
       for(j=1; j<=nlstate;j++)      for(j=1;j<=nlstate+ndeath;j++)
         for(theta=1; theta <=npar; theta++)        if(j!=i)fprintf(ficrespow," p%1d%1d",i,j);
           trgradg[h][j][theta]=gradg[h][theta][j];    fprintf(ficrespow,"\n");
   
     for(i=1;i<=nlstate;i++)    powell(p,xi,npar,ftol,&iter,&fret,func);
       for(j=1;j<=nlstate;j++)  
         vareij[i][j][(int)age] =0.;    fclose(ficrespow);
     for(h=0;h<=nhstepm;h++){    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
       for(k=0;k<=nhstepm;k++){    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);  
         for(i=1;i<=nlstate;i++)  }
           for(j=1;j<=nlstate;j++)  
             vareij[i][j][(int)age] += doldm[i][j];  /**** Computes Hessian and covariance matrix ***/
       }  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
     }  {
     h=1;    double  **a,**y,*x,pd;
     if (stepm >= YEARM) h=stepm/YEARM;    double **hess;
     fprintf(ficresvij,"%.0f ",age );    int i, j,jk;
     for(i=1; i<=nlstate;i++)    int *indx;
       for(j=1; j<=nlstate;j++){  
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    double hessii(double p[], double delta, int theta, double delti[]);
       }    double hessij(double p[], double delti[], int i, int j);
     fprintf(ficresvij,"\n");    void lubksb(double **a, int npar, int *indx, double b[]) ;
     free_matrix(gp,0,nhstepm,1,nlstate);    void ludcmp(double **a, int npar, int *indx, double *d) ;
     free_matrix(gm,0,nhstepm,1,nlstate);  
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);    hess=matrix(1,npar,1,npar);
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);  
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    printf("\nCalculation of the hessian matrix. Wait...\n");
   } /* End age */    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
      for (i=1;i<=npar;i++){
   free_vector(xp,1,npar);      printf("%d",i);fflush(stdout);
   free_matrix(doldm,1,nlstate,1,npar);      fprintf(ficlog,"%d",i);fflush(ficlog);
   free_matrix(dnewm,1,nlstate,1,nlstate);      hess[i][i]=hessii(p,ftolhess,i,delti);
       /*printf(" %f ",p[i]);*/
 }      /*printf(" %lf ",hess[i][i]);*/
     }
 /************ Variance of prevlim ******************/    
 void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)    for (i=1;i<=npar;i++) {
 {      for (j=1;j<=npar;j++)  {
   /* Variance of prevalence limit */        if (j>i) { 
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          printf(".%d%d",i,j);fflush(stdout);
   double **newm;          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
   double **dnewm,**doldm;          hess[i][j]=hessij(p,delti,i,j);
   int i, j, nhstepm, hstepm;          hess[j][i]=hess[i][j];    
   int k, cptcode;          /*printf(" %lf ",hess[i][j]);*/
   double *xp;        }
   double *gp, *gm;      }
   double **gradg, **trgradg;    }
   double age,agelim;    printf("\n");
   int theta;    fprintf(ficlog,"\n");
      
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   fprintf(ficresvpl,"# Age");    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
   for(i=1; i<=nlstate;i++)    
       fprintf(ficresvpl," %1d-%1d",i,i);    a=matrix(1,npar,1,npar);
   fprintf(ficresvpl,"\n");    y=matrix(1,npar,1,npar);
     x=vector(1,npar);
   xp=vector(1,npar);    indx=ivector(1,npar);
   dnewm=matrix(1,nlstate,1,npar);    for (i=1;i<=npar;i++)
   doldm=matrix(1,nlstate,1,nlstate);      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
      ludcmp(a,npar,indx,&pd);
   hstepm=1*YEARM; /* Every year of age */  
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    for (j=1;j<=npar;j++) {
   agelim = AGESUP;      for (i=1;i<=npar;i++) x[i]=0;
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      x[j]=1;
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      lubksb(a,npar,indx,x);
     if (stepm >= YEARM) hstepm=1;      for (i=1;i<=npar;i++){ 
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */        matcov[i][j]=x[i];
     gradg=matrix(1,npar,1,nlstate);      }
     gp=vector(1,nlstate);    }
     gm=vector(1,nlstate);  
     printf("\n#Hessian matrix#\n");
     for(theta=1; theta <=npar; theta++){    fprintf(ficlog,"\n#Hessian matrix#\n");
       for(i=1; i<=npar; i++){ /* Computes gradient */    for (i=1;i<=npar;i++) { 
         xp[i] = x[i] + (i==theta ?delti[theta]:0);      for (j=1;j<=npar;j++) { 
       }        printf("%.3e ",hess[i][j]);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);        fprintf(ficlog,"%.3e ",hess[i][j]);
       for(i=1;i<=nlstate;i++)      }
         gp[i] = prlim[i][i];      printf("\n");
          fprintf(ficlog,"\n");
       for(i=1; i<=npar; i++) /* Computes gradient */    }
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /* Recompute Inverse */
       for(i=1;i<=nlstate;i++)    for (i=1;i<=npar;i++)
         gm[i] = prlim[i][i];      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
     ludcmp(a,npar,indx,&pd);
       for(i=1;i<=nlstate;i++)  
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    /*  printf("\n#Hessian matrix recomputed#\n");
     } /* End theta */  
     for (j=1;j<=npar;j++) {
     trgradg =matrix(1,nlstate,1,npar);      for (i=1;i<=npar;i++) x[i]=0;
       x[j]=1;
     for(j=1; j<=nlstate;j++)      lubksb(a,npar,indx,x);
       for(theta=1; theta <=npar; theta++)      for (i=1;i<=npar;i++){ 
         trgradg[j][theta]=gradg[theta][j];        y[i][j]=x[i];
         printf("%.3e ",y[i][j]);
     for(i=1;i<=nlstate;i++)        fprintf(ficlog,"%.3e ",y[i][j]);
       varpl[i][(int)age] =0.;      }
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);      printf("\n");
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);      fprintf(ficlog,"\n");
     for(i=1;i<=nlstate;i++)    }
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */    */
   
     fprintf(ficresvpl,"%.0f ",age );    free_matrix(a,1,npar,1,npar);
     for(i=1; i<=nlstate;i++)    free_matrix(y,1,npar,1,npar);
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));    free_vector(x,1,npar);
     fprintf(ficresvpl,"\n");    free_ivector(indx,1,npar);
     free_vector(gp,1,nlstate);    free_matrix(hess,1,npar,1,npar);
     free_vector(gm,1,nlstate);  
     free_matrix(gradg,1,npar,1,nlstate);  
     free_matrix(trgradg,1,nlstate,1,npar);  }
   } /* End age */  
   /*************** hessian matrix ****************/
   free_vector(xp,1,npar);  double hessii( double x[], double delta, int theta, double delti[])
   free_matrix(doldm,1,nlstate,1,npar);  {
   free_matrix(dnewm,1,nlstate,1,nlstate);    int i;
     int l=1, lmax=20;
 }    double k1,k2;
     double p2[NPARMAX+1];
 /************ Variance of one-step probabilities  ******************/    double res;
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)    double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;
 {    double fx;
   int i, j;    int k=0,kmax=10;
   int k=0, cptcode;    double l1;
   double **dnewm,**doldm;  
   double *xp;    fx=func(x);
   double *gp, *gm;    for (i=1;i<=npar;i++) p2[i]=x[i];
   double **gradg, **trgradg;    for(l=0 ; l <=lmax; l++){
   double age,agelim, cov[NCOVMAX];      l1=pow(10,l);
   int theta;      delts=delt;
   char fileresprob[FILENAMELENGTH];      for(k=1 ; k <kmax; k=k+1){
         delt = delta*(l1*k);
   strcpy(fileresprob,"prob");        p2[theta]=x[theta] +delt;
   strcat(fileresprob,fileres);        k1=func(p2)-fx;
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {        p2[theta]=x[theta]-delt;
     printf("Problem with resultfile: %s\n", fileresprob);        k2=func(p2)-fx;
   }        /*res= (k1-2.0*fx+k2)/delt/delt; */
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
          
   #ifdef DEBUG
   xp=vector(1,npar);        printf("%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        fprintf(ficlog,"%d %d k1=%.12e k2=%.12e xk1=%.12e xk2=%.12e delt=%.12e res=%.12e l=%d k=%d,fx=%.12e\n",theta,theta,k1,k2,x[theta]+delt,x[theta]-delt,delt,res, l, k,fx);
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));  #endif
          /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
   cov[1]=1;        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
   for (age=bage; age<=fage; age ++){          k=kmax;
     cov[2]=age;        }
     gradg=matrix(1,npar,1,9);        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
     trgradg=matrix(1,9,1,npar);          k=kmax; l=lmax*10.;
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));        }
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
              delts=delt;
     for(theta=1; theta <=npar; theta++){        }
       for(i=1; i<=npar; i++)      }
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    }
          delti[theta]=delts;
       pmij(pmmij,cov,ncovmodel,xp,nlstate);    return res; 
        
       k=0;  }
       for(i=1; i<= (nlstate+ndeath); i++){  
         for(j=1; j<=(nlstate+ndeath);j++){  double hessij( double x[], double delti[], int thetai,int thetaj)
            k=k+1;  {
           gp[k]=pmmij[i][j];    int i;
         }    int l=1, l1, lmax=20;
       }    double k1,k2,k3,k4,res,fx;
     double p2[NPARMAX+1];
       for(i=1; i<=npar; i++)    int k;
         xp[i] = x[i] - (i==theta ?delti[theta]:0);  
        fx=func(x);
     for (k=1; k<=2; k++) {
       pmij(pmmij,cov,ncovmodel,xp,nlstate);      for (i=1;i<=npar;i++) p2[i]=x[i];
       k=0;      p2[thetai]=x[thetai]+delti[thetai]/k;
       for(i=1; i<=(nlstate+ndeath); i++){      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
         for(j=1; j<=(nlstate+ndeath);j++){      k1=func(p2)-fx;
           k=k+1;    
           gm[k]=pmmij[i][j];      p2[thetai]=x[thetai]+delti[thetai]/k;
         }      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       }      k2=func(p2)-fx;
          
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)      p2[thetai]=x[thetai]-delti[thetai]/k;
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];        p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     }      k3=func(p2)-fx;
     
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)      p2[thetai]=x[thetai]-delti[thetai]/k;
       for(theta=1; theta <=npar; theta++)      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       trgradg[j][theta]=gradg[theta][j];      k4=func(p2)-fx;
        res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);  #ifdef DEBUG
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);      printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
       fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
      pmij(pmmij,cov,ncovmodel,x,nlstate);  #endif
     }
      k=0;    return res;
      for(i=1; i<=(nlstate+ndeath); i++){  }
        for(j=1; j<=(nlstate+ndeath);j++){  
          k=k+1;  /************** Inverse of matrix **************/
          gm[k]=pmmij[i][j];  void ludcmp(double **a, int n, int *indx, double *d) 
         }  { 
      }    int i,imax,j,k; 
          double big,dum,sum,temp; 
      /*printf("\n%d ",(int)age);    double *vv; 
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){   
            vv=vector(1,n); 
     *d=1.0; 
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));    for (i=1;i<=n;i++) { 
      }*/      big=0.0; 
       for (j=1;j<=n;j++) 
   fprintf(ficresprob,"\n%d ",(int)age);        if ((temp=fabs(a[i][j])) > big) big=temp; 
       if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){      vv[i]=1.0/big; 
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    } 
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    for (j=1;j<=n;j++) { 
   }      for (i=1;i<j;i++) { 
         sum=a[i][j]; 
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));        a[i][j]=sum; 
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);      } 
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);      big=0.0; 
 }      for (i=j;i<=n;i++) { 
  free_vector(xp,1,npar);        sum=a[i][j]; 
 fclose(ficresprob);        for (k=1;k<j;k++) 
  exit(0);          sum -= a[i][k]*a[k][j]; 
 }        a[i][j]=sum; 
         if ( (dum=vv[i]*fabs(sum)) >= big) { 
 /***********************************************/          big=dum; 
 /**************** Main Program *****************/          imax=i; 
 /***********************************************/        } 
       } 
 /*int main(int argc, char *argv[])*/      if (j != imax) { 
 int main()        for (k=1;k<=n;k++) { 
 {          dum=a[imax][k]; 
           a[imax][k]=a[j][k]; 
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;          a[j][k]=dum; 
   double agedeb, agefin,hf;        } 
   double agemin=1.e20, agemax=-1.e20;        *d = -(*d); 
         vv[imax]=vv[j]; 
   double fret;      } 
   double **xi,tmp,delta;      indx[j]=imax; 
       if (a[j][j] == 0.0) a[j][j]=TINY; 
   double dum; /* Dummy variable */      if (j != n) { 
   double ***p3mat;        dum=1.0/(a[j][j]); 
   int *indx;        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
   char line[MAXLINE], linepar[MAXLINE];      } 
   char title[MAXLINE];    } 
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];    free_vector(vv,1,n);  /* Doesn't work */
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];  ;
   char filerest[FILENAMELENGTH];  } 
   char fileregp[FILENAMELENGTH];  
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];  void lubksb(double **a, int n, int *indx, double b[]) 
   int firstobs=1, lastobs=10;  { 
   int sdeb, sfin; /* Status at beginning and end */    int i,ii=0,ip,j; 
   int c,  h , cpt,l;    double sum; 
   int ju,jl, mi;   
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;    for (i=1;i<=n;i++) { 
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;      ip=indx[i]; 
   int mobilav=0, fprevfore=1, lprevfore=1;      sum=b[ip]; 
   int hstepm, nhstepm;      b[ip]=b[i]; 
       if (ii) 
   double bage, fage, age, agelim, agebase;        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
   double ftolpl=FTOL;      else if (sum) ii=i; 
   double **prlim;      b[i]=sum; 
   double *severity;    } 
   double ***param; /* Matrix of parameters */    for (i=n;i>=1;i--) { 
   double  *p;      sum=b[i]; 
   double **matcov; /* Matrix of covariance */      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
   double ***delti3; /* Scale */      b[i]=sum/a[i][i]; 
   double *delti; /* Scale */    } 
   double ***eij, ***vareij;  } 
   double **varpl; /* Variances of prevalence limits by age */  
   double *epj, vepp;  /************ Frequencies ********************/
   double kk1;  void  freqsummary(char fileres[], int iagemin, int iagemax, int **s, double **agev, int nlstate, int imx, int *Tvaraff, int **nbcode, int *ncodemax,double **mint,double **anint)
   {  /* Some frequencies */
   char version[80]="Imach version 64b, May 2001, INED-EUROREVES ";    
   char *alph[]={"a","a","b","c","d","e"}, str[4];    int i, m, jk, k1,i1, j1, bool, z1,z2,j;
     int first;
     double ***freq; /* Frequencies */
   char z[1]="c", occ;    double *pp, **prop;
 #include <sys/time.h>    double pos,posprop, k2, dateintsum=0,k2cpt=0;
 #include <time.h>    FILE *ficresp;
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];    char fileresp[FILENAMELENGTH];
   /* long total_usecs;    
   struct timeval start_time, end_time;    pp=vector(1,nlstate);
      prop=matrix(1,nlstate,iagemin,iagemax+3);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */    strcpy(fileresp,"p");
     strcat(fileresp,fileres);
     if((ficresp=fopen(fileresp,"w"))==NULL) {
   printf("\nIMACH, Version 0.64b");      printf("Problem with prevalence resultfile: %s\n", fileresp);
   printf("\nEnter the parameter file name: ");      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
       exit(0);
 #ifdef windows    }
   scanf("%s",pathtot);    freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);
   getcwd(pathcd, size);    j1=0;
   /*cygwin_split_path(pathtot,path,optionfile);    
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/    j=cptcoveff;
   /* cutv(path,optionfile,pathtot,'\\');*/    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   
 split(pathtot, path,optionfile);    first=1;
   chdir(path);  
   replace(pathc,path);    for(k1=1; k1<=j;k1++){
 #endif      for(i1=1; i1<=ncodemax[k1];i1++){
 #ifdef unix        j1++;
   scanf("%s",optionfile);        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
 #endif          scanf("%d", i);*/
         for (i=-1; i<=nlstate+ndeath; i++)  
 /*-------- arguments in the command line --------*/          for (jk=-1; jk<=nlstate+ndeath; jk++)  
             for(m=iagemin; m <= iagemax+3; m++)
   strcpy(fileres,"r");              freq[i][jk][m]=0;
   strcat(fileres, optionfile);  
       for (i=1; i<=nlstate; i++)  
   /*---------arguments file --------*/        for(m=iagemin; m <= iagemax+3; m++)
           prop[i][m]=0;
   if((ficpar=fopen(optionfile,"r"))==NULL)    {        
     printf("Problem with optionfile %s\n",optionfile);        dateintsum=0;
     goto end;        k2cpt=0;
   }        for (i=1; i<=imx; i++) {
           bool=1;
   strcpy(filereso,"o");          if  (cptcovn>0) {
   strcat(filereso,fileres);            for (z1=1; z1<=cptcoveff; z1++) 
   if((ficparo=fopen(filereso,"w"))==NULL) {              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
     printf("Problem with Output resultfile: %s\n", filereso);goto end;                bool=0;
   }          }
           if (bool==1){
   /* Reads comments: lines beginning with '#' */            for(m=firstpass; m<=lastpass; m++){
   while((c=getc(ficpar))=='#' && c!= EOF){              k2=anint[m][i]+(mint[m][i]/12.);
     ungetc(c,ficpar);              /*if ((k2>=dateprev1) && (k2<=dateprev2)) {*/
     fgets(line, MAXLINE, ficpar);                if(agev[m][i]==0) agev[m][i]=iagemax+1;
     puts(line);                if(agev[m][i]==1) agev[m][i]=iagemax+2;
     fputs(line,ficparo);                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
   }                if (m<lastpass) {
   ungetc(c,ficpar);                  freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
   fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncov, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);                }
   printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate,ndeath, maxwav, mle, weightopt,model);                
   fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncov,nlstate,ndeath,maxwav, mle, weightopt,model);                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
 while((c=getc(ficpar))=='#' && c!= EOF){                  dateintsum=dateintsum+k2;
     ungetc(c,ficpar);                  k2cpt++;
     fgets(line, MAXLINE, ficpar);                }
     puts(line);                /*}*/
     fputs(line,ficparo);            }
   }          }
   ungetc(c,ficpar);        }
           
   fscanf(ficpar,"fprevalence=%d lprevalence=%d pop_based=%d\n",&fprev,&lprev,&popbased);        /*      fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
  while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);        if  (cptcovn>0) {
     fgets(line, MAXLINE, ficpar);          fprintf(ficresp, "\n#********** Variable "); 
     puts(line);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
     fputs(line,ficparo);          fprintf(ficresp, "**********\n#");
   }        }
   ungetc(c,ficpar);        for(i=1; i<=nlstate;i++) 
            fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
   fscanf(ficpar,"fprevalence=%d lprevalence=%d mob_average=%d\n",&fprevfore,&lprevfore,&mobilav);        fprintf(ficresp, "\n");
          
   covar=matrix(0,NCOVMAX,1,n);        for(i=iagemin; i <= iagemax+3; i++){
   cptcovn=0;          if(i==iagemax+3){
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;            fprintf(ficlog,"Total");
           }else{
   ncovmodel=2+cptcovn;            if(first==1){
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */              first=0;
                printf("See log file for details...\n");
   /* Read guess parameters */            }
   /* Reads comments: lines beginning with '#' */            fprintf(ficlog,"Age %d", i);
   while((c=getc(ficpar))=='#' && c!= EOF){          }
     ungetc(c,ficpar);          for(jk=1; jk <=nlstate ; jk++){
     fgets(line, MAXLINE, ficpar);            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
     puts(line);              pp[jk] += freq[jk][m][i]; 
     fputs(line,ficparo);          }
   }          for(jk=1; jk <=nlstate ; jk++){
   ungetc(c,ficpar);            for(m=-1, pos=0; m <=0 ; m++)
                pos += freq[jk][m][i];
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);            if(pp[jk]>=1.e-10){
     for(i=1; i <=nlstate; i++)              if(first==1){
     for(j=1; j <=nlstate+ndeath-1; j++){              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
       fscanf(ficpar,"%1d%1d",&i1,&j1);              }
       fprintf(ficparo,"%1d%1d",i1,j1);              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
       printf("%1d%1d",i,j);            }else{
       for(k=1; k<=ncovmodel;k++){              if(first==1)
         fscanf(ficpar," %lf",&param[i][j][k]);                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
         printf(" %lf",param[i][j][k]);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
         fprintf(ficparo," %lf",param[i][j][k]);            }
       }          }
       fscanf(ficpar,"\n");  
       printf("\n");          for(jk=1; jk <=nlstate ; jk++){
       fprintf(ficparo,"\n");            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
     }              pp[jk] += freq[jk][m][i];
            }       
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
             pos += pp[jk];
   p=param[1][1];            posprop += prop[jk][i];
            }
   /* Reads comments: lines beginning with '#' */          for(jk=1; jk <=nlstate ; jk++){
   while((c=getc(ficpar))=='#' && c!= EOF){            if(pos>=1.e-5){
     ungetc(c,ficpar);              if(first==1)
     fgets(line, MAXLINE, ficpar);                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     puts(line);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
     fputs(line,ficparo);            }else{
   }              if(first==1)
   ungetc(c,ficpar);                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
               fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);            }
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */            if( i <= iagemax){
   for(i=1; i <=nlstate; i++){              if(pos>=1.e-5){
     for(j=1; j <=nlstate+ndeath-1; j++){                fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
       fscanf(ficpar,"%1d%1d",&i1,&j1);                /*probs[i][jk][j1]= pp[jk]/pos;*/
       printf("%1d%1d",i,j);                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
       fprintf(ficparo,"%1d%1d",i1,j1);              }
       for(k=1; k<=ncovmodel;k++){              else
         fscanf(ficpar,"%le",&delti3[i][j][k]);                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
         printf(" %le",delti3[i][j][k]);            }
         fprintf(ficparo," %le",delti3[i][j][k]);          }
       }          
       fscanf(ficpar,"\n");          for(jk=-1; jk <=nlstate+ndeath; jk++)
       printf("\n");            for(m=-1; m <=nlstate+ndeath; m++)
       fprintf(ficparo,"\n");              if(freq[jk][m][i] !=0 ) {
     }              if(first==1)
   }                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
   delti=delti3[1][1];                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
                }
   /* Reads comments: lines beginning with '#' */          if(i <= iagemax)
   while((c=getc(ficpar))=='#' && c!= EOF){            fprintf(ficresp,"\n");
     ungetc(c,ficpar);          if(first==1)
     fgets(line, MAXLINE, ficpar);            printf("Others in log...\n");
     puts(line);          fprintf(ficlog,"\n");
     fputs(line,ficparo);        }
   }      }
   ungetc(c,ficpar);    }
      dateintmean=dateintsum/k2cpt; 
   matcov=matrix(1,npar,1,npar);   
   for(i=1; i <=npar; i++){    fclose(ficresp);
     fscanf(ficpar,"%s",&str);    free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);
     printf("%s",str);    free_vector(pp,1,nlstate);
     fprintf(ficparo,"%s",str);    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
     for(j=1; j <=i; j++){    /* End of Freq */
       fscanf(ficpar," %le",&matcov[i][j]);  }
       printf(" %.5le",matcov[i][j]);  
       fprintf(ficparo," %.5le",matcov[i][j]);  /************ Prevalence ********************/
     }  void prevalence(double ***probs, double agemin, double agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, int firstpass, int lastpass)
     fscanf(ficpar,"\n");  {  
     printf("\n");    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
     fprintf(ficparo,"\n");       in each health status at the date of interview (if between dateprev1 and dateprev2).
   }       We still use firstpass and lastpass as another selection.
   for(i=1; i <=npar; i++)    */
     for(j=i+1;j<=npar;j++)   
       matcov[i][j]=matcov[j][i];    int i, m, jk, k1, i1, j1, bool, z1,z2,j;
        double ***freq; /* Frequencies */
   printf("\n");    double *pp, **prop;
     double pos,posprop; 
     double  y2; /* in fractional years */
     /*-------- data file ----------*/    int iagemin, iagemax;
     if((ficres =fopen(fileres,"w"))==NULL) {  
       printf("Problem with resultfile: %s\n", fileres);goto end;    iagemin= (int) agemin;
     }    iagemax= (int) agemax;
     fprintf(ficres,"#%s\n",version);    /*pp=vector(1,nlstate);*/
        prop=matrix(1,nlstate,iagemin,iagemax+3); 
     if((fic=fopen(datafile,"r"))==NULL)    {    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
       printf("Problem with datafile: %s\n", datafile);goto end;    j1=0;
     }    
     j=cptcoveff;
     n= lastobs;    if (cptcovn<1) {j=1;ncodemax[1]=1;}
     severity = vector(1,maxwav);    
     outcome=imatrix(1,maxwav+1,1,n);    for(k1=1; k1<=j;k1++){
     num=ivector(1,n);      for(i1=1; i1<=ncodemax[k1];i1++){
     moisnais=vector(1,n);        j1++;
     annais=vector(1,n);        
     moisdc=vector(1,n);        for (i=1; i<=nlstate; i++)  
     andc=vector(1,n);          for(m=iagemin; m <= iagemax+3; m++)
     agedc=vector(1,n);            prop[i][m]=0.0;
     cod=ivector(1,n);       
     weight=vector(1,n);        for (i=1; i<=imx; i++) { /* Each individual */
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */          bool=1;
     mint=matrix(1,maxwav,1,n);          if  (cptcovn>0) {
     anint=matrix(1,maxwav,1,n);            for (z1=1; z1<=cptcoveff; z1++) 
     s=imatrix(1,maxwav+1,1,n);              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
     adl=imatrix(1,maxwav+1,1,n);                    bool=0;
     tab=ivector(1,NCOVMAX);          } 
     ncodemax=ivector(1,8);          if (bool==1) { 
             for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
     i=1;              y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
     while (fgets(line, MAXLINE, fic) != NULL)    {              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
       if ((i >= firstobs) && (i <=lastobs)) {                if(agev[m][i]==0) agev[m][i]=iagemax+1;
                        if(agev[m][i]==1) agev[m][i]=iagemax+2;
         for (j=maxwav;j>=1;j--){                if((int)agev[m][i] <iagemin || (int)agev[m][i] >iagemax+3) printf("Error on individual =%d agev[m][i]=%f m=%d\n",i, agev[m][i],m); 
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);                if (s[m][i]>0 && s[m][i]<=nlstate) { 
           strcpy(line,stra);                  /*if(i>4620) printf(" i=%d m=%d s[m][i]=%d (int)agev[m][i]=%d weight[i]=%f prop=%f\n",i,m,s[m][i],(int)agev[m][m],weight[i],prop[s[m][i]][(int)agev[m][i]]);*/
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);                  prop[s[m][i]][iagemax+3] += weight[i]; 
         }                } 
                      }
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);            } /* end selection of waves */
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);          }
         }
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);        for(i=iagemin; i <= iagemax+3; i++){  
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);          
           for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);            posprop += prop[jk][i]; 
         for (j=ncov;j>=1;j--){          } 
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);  
         }          for(jk=1; jk <=nlstate ; jk++){     
         num[i]=atol(stra);            if( i <=  iagemax){ 
                      if(posprop>=1.e-5){ 
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){                probs[i][jk][j1]= prop[jk][i]/posprop;
           printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/              } 
             } 
         i=i+1;          }/* end jk */ 
       }        }/* end i */ 
     }      } /* end i1 */
     /* printf("ii=%d", ij);    } /* end k1 */
        scanf("%d",i);*/    
   imx=i-1; /* Number of individuals */    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
     /*free_vector(pp,1,nlstate);*/
   /* for (i=1; i<=imx; i++){    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;  }  /* End of prevalence */
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;  
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;  /************* Waves Concatenation ***************/
     }  
     for (i=1; i<=imx; i++) printf("%d %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));*/  void  concatwav(int wav[], int **dh, int **bh,  int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)
   {
   /* Calculation of the number of parameter from char model*/    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
   Tvar=ivector(1,15);       Death is a valid wave (if date is known).
   Tprod=ivector(1,15);       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
   Tvaraff=ivector(1,15);       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
   Tvard=imatrix(1,15,1,2);       and mw[mi+1][i]. dh depends on stepm.
   Tage=ivector(1,15);             */
      
   if (strlen(model) >1){    int i, mi, m;
     j=0, j1=0, k1=1, k2=1;    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
     j=nbocc(model,'+');       double sum=0., jmean=0.;*/
     j1=nbocc(model,'*');    int first;
     cptcovn=j+1;    int j, k=0,jk, ju, jl;
     cptcovprod=j1;    double sum=0.;
        first=0;
        jmin=1e+5;
     strcpy(modelsav,model);    jmax=-1;
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){    jmean=0.;
       printf("Error. Non available option model=%s ",model);    for(i=1; i<=imx; i++){
       goto end;      mi=0;
     }      m=firstpass;
          while(s[m][i] <= nlstate){
     for(i=(j+1); i>=1;i--){        if(s[m][i]>=1)
       cutv(stra,strb,modelsav,'+');          mw[++mi][i]=m;
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);        if(m >=lastpass)
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/          break;
       /*scanf("%d",i);*/        else
       if (strchr(strb,'*')) {          m++;
         cutv(strd,strc,strb,'*');      }/* end while */
         if (strcmp(strc,"age")==0) {      if (s[m][i] > nlstate){
           cptcovprod--;        mi++;     /* Death is another wave */
           cutv(strb,stre,strd,'V');        /* if(mi==0)  never been interviewed correctly before death */
           Tvar[i]=atoi(stre);           /* Only death is a correct wave */
           cptcovage++;        mw[mi][i]=m;
             Tage[cptcovage]=i;      }
             /*printf("stre=%s ", stre);*/  
         }      wav[i]=mi;
         else if (strcmp(strd,"age")==0) {      if(mi==0){
           cptcovprod--;        nbwarn++;
           cutv(strb,stre,strc,'V');        if(first==0){
           Tvar[i]=atoi(stre);          printf("Warning! None valid information for:%ld line=%d (skipped) and may be others, see log file\n",num[i],i);
           cptcovage++;          first=1;
           Tage[cptcovage]=i;        }
         }        if(first==1){
         else {          fprintf(ficlog,"Warning! None valid information for:%ld line=%d (skipped)\n",num[i],i);
           cutv(strb,stre,strc,'V');        }
           Tvar[i]=ncov+k1;      } /* end mi==0 */
           cutv(strb,strc,strd,'V');    } /* End individuals */
           Tprod[k1]=i;  
           Tvard[k1][1]=atoi(strc);    for(i=1; i<=imx; i++){
           Tvard[k1][2]=atoi(stre);      for(mi=1; mi<wav[i];mi++){
           Tvar[cptcovn+k2]=Tvard[k1][1];        if (stepm <=0)
           Tvar[cptcovn+k2+1]=Tvard[k1][2];          dh[mi][i]=1;
           for (k=1; k<=lastobs;k++)        else{
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];          if (s[mw[mi+1][i]][i] > nlstate) { /* A death */
           k1++;            if (agedc[i] < 2*AGESUP) {
           k2=k2+2;              j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
         }              if(j==0) j=1;  /* Survives at least one month after exam */
       }              else if(j<0){
       else {                nberr++;
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/                printf("Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
        /*  scanf("%d",i);*/                j=1; /* Temporary Dangerous patch */
       cutv(strd,strc,strb,'V');                printf("   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview.\n  You MUST fix the contradiction between dates.\n",stepm);
       Tvar[i]=atoi(strc);                fprintf(ficlog,"Error! Negative delay (%d to death) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
       }                fprintf(ficlog,"   We assumed that the date of interview was correct (and not the date of death) and postponed the death %d month(s) (one stepm) after the interview.\n  You MUST fix the contradiction between dates.\n",stepm);
       strcpy(modelsav,stra);                }
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);              k=k+1;
         scanf("%d",i);*/              if (j >= jmax) jmax=j;
     }              if (j <= jmin) jmin=j;
 }              sum=sum+j;
                /*if (j<0) printf("j=%d num=%d \n",j,i);*/
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);              /*    printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
   printf("cptcovprod=%d ", cptcovprod);            }
   scanf("%d ",i);*/          }
     fclose(fic);          else{
             j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
     /*  if(mle==1){*/            /*      printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
     if (weightopt != 1) { /* Maximisation without weights*/            k=k+1;
       for(i=1;i<=n;i++) weight[i]=1.0;            if (j >= jmax) jmax=j;
     }            else if (j <= jmin)jmin=j;
     /*-calculation of age at interview from date of interview and age at death -*/            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
     agev=matrix(1,maxwav,1,imx);            /*printf("%d %lf %d %d %d\n", i,agev[mw[mi][i]][i],j,s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);*/
             if(j<0){
    for (i=1; i<=imx; i++)              nberr++;
      for(m=2; (m<= maxwav); m++)              printf("Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){              fprintf(ficlog,"Error! Negative delay (%d) between waves %d and %d of individual %ld at line %d who is aged %.1f with statuses from %d to %d\n ",j,mw[mi][i],mw[mi+1][i],num[i], i,agev[mw[mi][i]][i],s[mw[mi][i]][i] ,s[mw[mi+1][i]][i]);
          anint[m][i]=9999;            }
          s[m][i]=-1;            sum=sum+j;
        }          }
              jk= j/stepm;
     for (i=1; i<=imx; i++)  {          jl= j -jk*stepm;
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);          ju= j -(jk+1)*stepm;
       for(m=1; (m<= maxwav); m++){          if(mle <=1){ /* only if we use a the linear-interpoloation pseudo-likelihood */
         if(s[m][i] >0){            if(jl==0){
           if (s[m][i] == nlstate+1) {              dh[mi][i]=jk;
             if(agedc[i]>0)              bh[mi][i]=0;
               if(moisdc[i]!=99 && andc[i]!=9999)            }else{ /* We want a negative bias in order to only have interpolation ie
               agev[m][i]=agedc[i];                    * at the price of an extra matrix product in likelihood */
             else {              dh[mi][i]=jk+1;
               if (andc[i]!=9999){              bh[mi][i]=ju;
               printf("Warning negative age at death: %d line:%d\n",num[i],i);            }
               agev[m][i]=-1;          }else{
               }            if(jl <= -ju){
             }              dh[mi][i]=jk;
           }              bh[mi][i]=jl;       /* bias is positive if real duration
           else if(s[m][i] !=9){ /* Should no more exist */                                   * is higher than the multiple of stepm and negative otherwise.
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);                                   */
             if(mint[m][i]==99 || anint[m][i]==9999)            }
               agev[m][i]=1;            else{
             else if(agev[m][i] <agemin){              dh[mi][i]=jk+1;
               agemin=agev[m][i];              bh[mi][i]=ju;
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/            }
             }            if(dh[mi][i]==0){
             else if(agev[m][i] >agemax){              dh[mi][i]=1; /* At least one step */
               agemax=agev[m][i];              bh[mi][i]=ju; /* At least one step */
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/              /*  printf(" bh=%d ju=%d jl=%d dh=%d jk=%d stepm=%d %d\n",bh[mi][i],ju,jl,dh[mi][i],jk,stepm,i);*/
             }            }
             /*agev[m][i]=anint[m][i]-annais[i];*/          } /* end if mle */
             /*   agev[m][i] = age[i]+2*m;*/        }
           }      } /* end wave */
           else { /* =9 */    }
             agev[m][i]=1;    jmean=sum/k;
             s[m][i]=-1;    printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
           }    fprintf(ficlog,"Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
         }   }
         else /*= 0 Unknown */  
           agev[m][i]=1;  /*********** Tricode ****************************/
       }  void tricode(int *Tvar, int **nbcode, int imx)
      {
     }    
     for (i=1; i<=imx; i++)  {    int Ndum[20],ij=1, k, j, i, maxncov=19;
       for(m=1; (m<= maxwav); m++){    int cptcode=0;
         if (s[m][i] > (nlstate+ndeath)) {    cptcoveff=0; 
           printf("Error: Wrong value in nlstate or ndeath\n");     
           goto end;    for (k=0; k<maxncov; k++) Ndum[k]=0;
         }    for (k=1; k<=7; k++) ncodemax[k]=0;
       }  
     }    for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
       for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);                                 modality*/ 
         ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
     free_vector(severity,1,maxwav);        Ndum[ij]++; /*store the modality */
     free_imatrix(outcome,1,maxwav+1,1,n);        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
     free_vector(moisnais,1,n);        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
     free_vector(annais,1,n);                                         Tvar[j]. If V=sex and male is 0 and 
     free_matrix(mint,1,maxwav,1,n);                                         female is 1, then  cptcode=1.*/
     free_matrix(anint,1,maxwav,1,n);      }
     free_vector(moisdc,1,n);  
     free_vector(andc,1,n);      for (i=0; i<=cptcode; i++) {
         if(Ndum[i]!=0) ncodemax[j]++; /* Nomber of modalities of the j th covariates. In fact ncodemax[j]=2 (dichotom. variables) but it can be more */
          }
     wav=ivector(1,imx);  
     dh=imatrix(1,lastpass-firstpass+1,1,imx);      ij=1; 
     mw=imatrix(1,lastpass-firstpass+1,1,imx);      for (i=1; i<=ncodemax[j]; i++) {
            for (k=0; k<= maxncov; k++) {
     /* Concatenates waves */          if (Ndum[k] != 0) {
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);            nbcode[Tvar[j]][ij]=k; 
             /* store the modality in an array. k is a modality. If we have model=V1+V1*sex then: nbcode[1][1]=0 ; nbcode[1][2]=1; nbcode[2][1]=0 ; nbcode[2][2]=1; */
             
       Tcode=ivector(1,100);            ij++;
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);          }
       ncodemax[1]=1;          if (ij > ncodemax[j]) break; 
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);        }  
            } 
    codtab=imatrix(1,100,1,10);    }  
    h=0;  
    m=pow(2,cptcoveff);   for (k=0; k< maxncov; k++) Ndum[k]=0;
    
    for(k=1;k<=cptcoveff; k++){   for (i=1; i<=ncovmodel-2; i++) { 
      for(i=1; i <=(m/pow(2,k));i++){     /* Listing of all covariables in staement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
        for(j=1; j <= ncodemax[k]; j++){     ij=Tvar[i];
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){     Ndum[ij]++;
            h++;   }
            if (h>m) h=1;codtab[h][k]=j;  
          }   ij=1;
        }   for (i=1; i<= maxncov; i++) {
      }     if((Ndum[i]!=0) && (i<=ncovcol)){
    }       Tvaraff[ij]=i; /*For printing */
        ij++;
      }
    /*for(i=1; i <=m ;i++){   }
      for(k=1; k <=cptcovn; k++){   
        printf("i=%d k=%d %d %d",i,k,codtab[i][k], cptcoveff);   cptcoveff=ij-1; /*Number of simple covariates*/
      }  }
      printf("\n");  
    }  /*********** Health Expectancies ****************/
    scanf("%d",i);*/  
      void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij, int estepm,double delti[],double **matcov )
    /* Calculates basic frequencies. Computes observed prevalence at single age  
        and prints on file fileres'p'. */  {
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax);    /* Health expectancies */
     int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    double age, agelim, hf;
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    double ***p3mat,***varhe;
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    double **dnewm,**doldm;
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    double *xp;
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    double **gp, **gm;
          double ***gradg, ***trgradg;
     /* For Powell, parameters are in a vector p[] starting at p[1]    int theta;
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */  
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
     xp=vector(1,npar);
     if(mle==1){    dnewm=matrix(1,nlstate*nlstate,1,npar);
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
     }    
        fprintf(ficreseij,"# Health expectancies\n");
     /*--------- results files --------------*/    fprintf(ficreseij,"# Age");
     fprintf(ficres,"\ntitle=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncov=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncov, nlstate, ndeath, maxwav, mle,weightopt,model);    for(i=1; i<=nlstate;i++)
          for(j=1; j<=nlstate;j++)
    jk=1;        fprintf(ficreseij," %1d-%1d (SE)",i,j);
    fprintf(ficres,"# Parameters\n");    fprintf(ficreseij,"\n");
    printf("# Parameters\n");  
    for(i=1,jk=1; i <=nlstate; i++){    if(estepm < stepm){
      for(k=1; k <=(nlstate+ndeath); k++){      printf ("Problem %d lower than %d\n",estepm, stepm);
        if (k != i)    }
          {    else  hstepm=estepm;   
            printf("%d%d ",i,k);    /* We compute the life expectancy from trapezoids spaced every estepm months
            fprintf(ficres,"%1d%1d ",i,k);     * This is mainly to measure the difference between two models: for example
            for(j=1; j <=ncovmodel; j++){     * if stepm=24 months pijx are given only every 2 years and by summing them
              printf("%f ",p[jk]);     * we are calculating an estimate of the Life Expectancy assuming a linear 
              fprintf(ficres,"%f ",p[jk]);     * progression in between and thus overestimating or underestimating according
              jk++;     * to the curvature of the survival function. If, for the same date, we 
            }     * estimate the model with stepm=1 month, we can keep estepm to 24 months
            printf("\n");     * to compare the new estimate of Life expectancy with the same linear 
            fprintf(ficres,"\n");     * hypothesis. A more precise result, taking into account a more precise
          }     * curvature will be obtained if estepm is as small as stepm. */
      }  
    }    /* For example we decided to compute the life expectancy with the smallest unit */
  if(mle==1){    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
     /* Computing hessian and covariance matrix */       nhstepm is the number of hstepm from age to agelim 
     ftolhess=ftol; /* Usually correct */       nstepm is the number of stepm from age to agelin. 
     hesscov(matcov, p, npar, delti, ftolhess, func);       Look at hpijx to understand the reason of that which relies in memory size
  }       and note for a fixed period like estepm months */
     fprintf(ficres,"# Scales\n");    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
     printf("# Scales\n");       survival function given by stepm (the optimization length). Unfortunately it
      for(i=1,jk=1; i <=nlstate; i++){       means that if the survival funtion is printed only each two years of age and if
       for(j=1; j <=nlstate+ndeath; j++){       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
         if (j!=i) {       results. So we changed our mind and took the option of the best precision.
           fprintf(ficres,"%1d%1d",i,j);    */
           printf("%1d%1d",i,j);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
           for(k=1; k<=ncovmodel;k++){  
             printf(" %.5e",delti[jk]);    agelim=AGESUP;
             fprintf(ficres," %.5e",delti[jk]);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
             jk++;      /* nhstepm age range expressed in number of stepm */
           }      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
           printf("\n");      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
           fprintf(ficres,"\n");      /* if (stepm >= YEARM) hstepm=1;*/
         }      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       }      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       }      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
          gp=matrix(0,nhstepm,1,nlstate*nlstate);
     k=1;      gm=matrix(0,nhstepm,1,nlstate*nlstate);
     fprintf(ficres,"# Covariance\n");  
     printf("# Covariance\n");      /* Computed by stepm unit matrices, product of hstepm matrices, stored
     for(i=1;i<=npar;i++){         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
       /*  if (k>nlstate) k=1;      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
       i1=(i-1)/(ncovmodel*nlstate)+1;   
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);  
       printf("%s%d%d",alph[k],i1,tab[i]);*/      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
       fprintf(ficres,"%3d",i);  
       printf("%3d",i);      /* Computing Variances of health expectancies */
       for(j=1; j<=i;j++){  
         fprintf(ficres," %.5e",matcov[i][j]);       for(theta=1; theta <=npar; theta++){
         printf(" %.5e",matcov[i][j]);        for(i=1; i<=npar; i++){ 
       }          xp[i] = x[i] + (i==theta ?delti[theta]:0);
       fprintf(ficres,"\n");        }
       printf("\n");        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       k++;    
     }        cptj=0;
            for(j=1; j<= nlstate; j++){
     while((c=getc(ficpar))=='#' && c!= EOF){          for(i=1; i<=nlstate; i++){
       ungetc(c,ficpar);            cptj=cptj+1;
       fgets(line, MAXLINE, ficpar);            for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
       puts(line);              gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
       fputs(line,ficparo);            }
     }          }
     ungetc(c,ficpar);        }
         
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);       
            for(i=1; i<=npar; i++) 
     if (fage <= 2) {          xp[i] = x[i] - (i==theta ?delti[theta]:0);
       bage = agemin;        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       fage = agemax;        
     }        cptj=0;
         for(j=1; j<= nlstate; j++){
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");          for(i=1;i<=nlstate;i++){
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);            cptj=cptj+1;
             for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
      
 /*------------ gnuplot -------------*/              gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
 chdir(pathcd);            }
   if((ficgp=fopen("graph.plt","w"))==NULL) {          }
     printf("Problem with file graph.gp");goto end;        }
   }        for(j=1; j<= nlstate*nlstate; j++)
 #ifdef windows          for(h=0; h<=nhstepm-1; h++){
   fprintf(ficgp,"cd \"%s\" \n",pathc);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
 #endif          }
 m=pow(2,cptcoveff);       } 
       
  /* 1eme*/  /* End theta */
   for (cpt=1; cpt<= nlstate ; cpt ++) {  
    for (k1=1; k1<= m ; k1 ++) {       trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   
 #ifdef windows       for(h=0; h<=nhstepm-1; h++)
     fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",agemin,fage,fileres,k1-1,k1-1);        for(j=1; j<=nlstate*nlstate;j++)
 #endif          for(theta=1; theta <=npar; theta++)
 #ifdef unix            trgradg[h][j][theta]=gradg[h][theta][j];
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);       
 #endif  
        for(i=1;i<=nlstate*nlstate;i++)
 for (i=1; i<= nlstate ; i ++) {        for(j=1;j<=nlstate*nlstate;j++)
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");          varhe[i][j][(int)age] =0.;
   else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }       printf("%d|",(int)age);fflush(stdout);
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
     for (i=1; i<= nlstate ; i ++) {       for(h=0;h<=nhstepm-1;h++){
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");        for(k=0;k<=nhstepm-1;k++){
   else fprintf(ficgp," \%%*lf (\%%*lf)");          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
 }          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);          for(i=1;i<=nlstate*nlstate;i++)
      for (i=1; i<= nlstate ; i ++) {            for(j=1;j<=nlstate*nlstate;j++)
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");              varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
   else fprintf(ficgp," \%%*lf (\%%*lf)");        }
 }        }
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));      /* Computing expectancies */
 #ifdef unix      for(i=1; i<=nlstate;i++)
 fprintf(ficgp,"\nset ter gif small size 400,300");        for(j=1; j<=nlstate;j++)
 #endif          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
    }            
   }  /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
   /*2 eme*/  
           }
   for (k1=1; k1<= m ; k1 ++) {  
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);      fprintf(ficreseij,"%3.0f",age );
          cptj=0;
     for (i=1; i<= nlstate+1 ; i ++) {      for(i=1; i<=nlstate;i++)
       k=2*i;        for(j=1; j<=nlstate;j++){
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);          cptj++;
       for (j=1; j<= nlstate+1 ; j ++) {          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");        }
   else fprintf(ficgp," \%%*lf (\%%*lf)");      fprintf(ficreseij,"\n");
 }       
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");      free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);      free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
       for (j=1; j<= nlstate+1 ; j ++) {      free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
         else fprintf(ficgp," \%%*lf (\%%*lf)");    }
 }      printf("\n");
       fprintf(ficgp,"\" t\"\" w l 0,");    fprintf(ficlog,"\n");
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);  
       for (j=1; j<= nlstate+1 ; j ++) {    free_vector(xp,1,npar);
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
 }      free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");  }
       else fprintf(ficgp,"\" t\"\" w l 0,");  
     }  /************ Variance ******************/
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);  void varevsij(char optionfilefiname[], double ***vareij, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij, int estepm, int cptcov, int cptcod, int popbased, int mobilav)
   }  {
      /* Variance of health expectancies */
   /*3eme*/    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     /* double **newm;*/
   for (k1=1; k1<= m ; k1 ++) {    double **dnewm,**doldm;
     for (cpt=1; cpt<= nlstate ; cpt ++) {    double **dnewmp,**doldmp;
       k=2+nlstate*(cpt-1);    int i, j, nhstepm, hstepm, h, nstepm ;
       fprintf(ficgp,"set ter gif small size 400,300\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",agemin,fage,fileres,k1-1,k1-1,k,cpt);    int k, cptcode;
       for (i=1; i< nlstate ; i ++) {    double *xp;
         fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+i,cpt,i+1);    double **gp, **gm;  /* for var eij */
       }    double ***gradg, ***trgradg; /*for var eij */
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    double **gradgp, **trgradgp; /* for var p point j */
     }    double *gpp, *gmp; /* for var p point j */
   }    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
      double ***p3mat;
   /* CV preval stat */    double age,agelim, hf;
   for (k1=1; k1<= m ; k1 ++) {    double ***mobaverage;
     for (cpt=1; cpt<nlstate ; cpt ++) {    int theta;
       k=3;    char digit[4];
       fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter gif small size 400,300\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);    char digitp[25];
       for (i=1; i< nlstate ; i ++)  
         fprintf(ficgp,"+$%d",k+i+1);    char fileresprobmorprev[FILENAMELENGTH];
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);  
          if(popbased==1){
       l=3+(nlstate+ndeath)*cpt;      if(mobilav!=0)
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);        strcpy(digitp,"-populbased-mobilav-");
       for (i=1; i< nlstate ; i ++) {      else strcpy(digitp,"-populbased-nomobil-");
         l=3+(nlstate+ndeath)*cpt;    }
         fprintf(ficgp,"+$%d",l+i+1);    else 
       }      strcpy(digitp,"-stablbased-");
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);    
       fprintf(ficgp,"set out \"p%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);    if (mobilav!=0) {
     }      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   }        if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
   /* proba elementaires */        printf(" Error in movingaverage mobilav=%d\n",mobilav);
    for(i=1,jk=1; i <=nlstate; i++){      }
     for(k=1; k <=(nlstate+ndeath); k++){    }
       if (k != i) {  
         for(j=1; j <=ncovmodel; j++){    strcpy(fileresprobmorprev,"prmorprev"); 
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/    sprintf(digit,"%-d",ij);
           /*fprintf(ficgp,"%s",alph[1]);*/    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
           jk++;    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
           fprintf(ficgp,"\n");    strcat(fileresprobmorprev,fileres);
         }    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
       }      printf("Problem with resultfile: %s\n", fileresprobmorprev);
     }      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     }    }
     printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   for(jk=1; jk <=m; jk++) {    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);    fprintf(ficresprobmorprev,"# probabilities of dying before estepm=%d months for people of exact age and weighted probabilities w1*p1j+w2*p2j+... stand dev in()\n",estepm);
    i=1;    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
    for(k2=1; k2<=nlstate; k2++) {    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
      k3=i;      fprintf(ficresprobmorprev," p.%-d SE",j);
      for(k=1; k<=(nlstate+ndeath); k++) {      for(i=1; i<=nlstate;i++)
        if (k != k2){        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    }  
 ij=1;    fprintf(ficresprobmorprev,"\n");
         for(j=3; j <=ncovmodel; j++) {    fprintf(ficgp,"\n# Routine varevsij");
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {    fprintf(fichtm,"\n<li><h4> Computing probabilities of dying over estepm months as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
             ij++;  /*   } */
           }    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
           else  
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    fprintf(ficresvij,"# Variance and covariance of health expectancies e.j \n#  (weighted average of eij where weights are the stable prevalence in health states i\n");
         }    fprintf(ficresvij,"# Age");
           fprintf(ficgp,")/(1");    for(i=1; i<=nlstate;i++)
              for(j=1; j<=nlstate;j++)
         for(k1=1; k1 <=nlstate; k1++){          fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);    fprintf(ficresvij,"\n");
 ij=1;  
           for(j=3; j <=ncovmodel; j++){    xp=vector(1,npar);
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {    dnewm=matrix(1,nlstate,1,npar);
             fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);    doldm=matrix(1,nlstate,1,nlstate);
             ij++;    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
           }    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
           else  
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
           }    gpp=vector(nlstate+1,nlstate+ndeath);
           fprintf(ficgp,")");    gmp=vector(nlstate+1,nlstate+ndeath);
         }    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);    
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");    if(estepm < stepm){
         i=i+ncovmodel;      printf ("Problem %d lower than %d\n",estepm, stepm);
        }    }
      }    else  hstepm=estepm;   
    }    /* For example we decided to compute the life expectancy with the smallest unit */
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
   }       nhstepm is the number of hstepm from age to agelim 
           nstepm is the number of stepm from age to agelin. 
   fclose(ficgp);       Look at hpijx to understand the reason of that which relies in memory size
           and note for a fixed period like k years */
 chdir(path);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
     free_matrix(agev,1,maxwav,1,imx);       survival function given by stepm (the optimization length). Unfortunately it
     free_ivector(wav,1,imx);       means that if the survival funtion is printed every two years of age and if
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);       results. So we changed our mind and took the option of the best precision.
        */
     free_imatrix(s,1,maxwav+1,1,n);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
        agelim = AGESUP;
        for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
     free_ivector(num,1,n);      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
     free_vector(agedc,1,n);      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     free_vector(weight,1,n);      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     /*free_matrix(covar,1,NCOVMAX,1,n);*/      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
     fclose(ficparo);      gp=matrix(0,nhstepm,1,nlstate);
     fclose(ficres);      gm=matrix(0,nhstepm,1,nlstate);
     /*  }*/  
      
    /*________fin mle=1_________*/      for(theta=1; theta <=npar; theta++){
            for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
           xp[i] = x[i] + (i==theta ?delti[theta]:0);
          }
     /* No more information from the sample is required now */        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   /* Reads comments: lines beginning with '#' */        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);        if (popbased==1) {
     fgets(line, MAXLINE, ficpar);          if(mobilav ==0){
     puts(line);            for(i=1; i<=nlstate;i++)
     fputs(line,ficparo);              prlim[i][i]=probs[(int)age][i][ij];
   }          }else{ /* mobilav */ 
   ungetc(c,ficpar);            for(i=1; i<=nlstate;i++)
                prlim[i][i]=mobaverage[(int)age][i][ij];
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);          }
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);        }
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);    
 /*--------- index.htm --------*/        for(j=1; j<= nlstate; j++){
           for(h=0; h<=nhstepm; h++){
   strcpy(optionfilehtm,optionfile);            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
   strcat(optionfilehtm,".htm");              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {          }
     printf("Problem with %s \n",optionfilehtm);goto end;        }
   }        /* This for computing probability of death (h=1 means
            computed over hstepm matrices product = hstepm*stepm months) 
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.64b </font> <hr size=\"2\" color=\"#EC5E5E\">           as a weighted average of prlim.
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>        */
 Total number of observations=%d <br>        for(j=nlstate+1;j<=nlstate+ndeath;j++){
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>          for(i=1,gpp[j]=0.; i<= nlstate; i++)
 <hr  size=\"2\" color=\"#EC5E5E\">            gpp[j] += prlim[i][i]*p3mat[i][j][1];
 <li>Outputs files<br><br>\n        }    
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n        /* end probability of death */
 - Estimated parameters and the covariance matrix: <a href=\"%s\">%s</a> <br>  
         - Stationary prevalence in each state: <a href=\"pl%s\">pl%s</a> <br>        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>   
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>        if (popbased==1) {
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>          if(mobilav ==0){
         - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>            for(i=1; i<=nlstate;i++)
 <br>",title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres,fileres);              prlim[i][i]=probs[(int)age][i][ij];
           }else{ /* mobilav */ 
  fprintf(fichtm," <li>Graphs</li><p>");            for(i=1; i<=nlstate;i++)
               prlim[i][i]=mobaverage[(int)age][i][ij];
  m=cptcoveff;          }
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}        }
   
  j1=0;        for(j=1; j<= nlstate; j++){
  for(k1=1; k1<=m;k1++){          for(h=0; h<=nhstepm; h++){
    for(i1=1; i1<=ncodemax[k1];i1++){            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
        j1++;              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
        if (cptcovn > 0) {          }
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");        }
          for (cpt=1; cpt<=cptcoveff;cpt++)        /* This for computing probability of death (h=1 means
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);           computed over hstepm matrices product = hstepm*stepm months) 
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");           as a weighted average of prlim.
        }        */
        fprintf(fichtm,"<br>- Probabilities: pe%s%d.gif<br>        for(j=nlstate+1;j<=nlstate+ndeath;j++){
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);              for(i=1,gmp[j]=0.; i<= nlstate; i++)
        for(cpt=1; cpt<nlstate;cpt++){           gmp[j] += prlim[i][i]*p3mat[i][j][1];
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>        }    
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);        /* end probability of death */
        }  
     for(cpt=1; cpt<=nlstate;cpt++) {        for(j=1; j<= nlstate; j++) /* vareij */
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident          for(h=0; h<=nhstepm; h++){
 interval) in state (%d): v%s%d%d.gif <br>            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);            }
      }  
      for(cpt=1; cpt<=nlstate;cpt++) {        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);        }
      }  
      fprintf(fichtm,"\n<br>- Total life expectancy by age and      } /* End theta */
 health expectancies in states (1) and (2): e%s%d.gif<br>  
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
 fprintf(fichtm,"\n</body>");  
    }      for(h=0; h<=nhstepm; h++) /* veij */
  }        for(j=1; j<=nlstate;j++)
 fclose(fichtm);          for(theta=1; theta <=npar; theta++)
             trgradg[h][j][theta]=gradg[h][theta][j];
   /*--------------- Prevalence limit --------------*/  
        for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
   strcpy(filerespl,"pl");        for(theta=1; theta <=npar; theta++)
   strcat(filerespl,fileres);          trgradgp[j][theta]=gradgp[theta][j];
   if((ficrespl=fopen(filerespl,"w"))==NULL) {    
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;  
   }      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);      for(i=1;i<=nlstate;i++)
   fprintf(ficrespl,"#Prevalence limit\n");        for(j=1;j<=nlstate;j++)
   fprintf(ficrespl,"#Age ");          vareij[i][j][(int)age] =0.;
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);  
   fprintf(ficrespl,"\n");      for(h=0;h<=nhstepm;h++){
          for(k=0;k<=nhstepm;k++){
   prlim=matrix(1,nlstate,1,nlstate);          matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */          for(i=1;i<=nlstate;i++)
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */            for(j=1;j<=nlstate;j++)
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */        }
   k=0;      }
   agebase=agemin;    
   agelim=agemax;      /* pptj */
   ftolpl=1.e-10;      matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
   i1=cptcoveff;      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
   if (cptcovn < 1){i1=1;}      for(j=nlstate+1;j<=nlstate+ndeath;j++)
         for(i=nlstate+1;i<=nlstate+ndeath;i++)
   for(cptcov=1;cptcov<=i1;cptcov++){          varppt[j][i]=doldmp[j][i];
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      /* end ppptj */
         k=k+1;      /*  x centered again */
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
         fprintf(ficrespl,"\n#******");      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
         for(j=1;j<=cptcoveff;j++)   
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      if (popbased==1) {
         fprintf(ficrespl,"******\n");        if(mobilav ==0){
                  for(i=1; i<=nlstate;i++)
         for (age=agebase; age<=agelim; age++){            prlim[i][i]=probs[(int)age][i][ij];
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);        }else{ /* mobilav */ 
           fprintf(ficrespl,"%.0f",age );          for(i=1; i<=nlstate;i++)
           for(i=1; i<=nlstate;i++)            prlim[i][i]=mobaverage[(int)age][i][ij];
           fprintf(ficrespl," %.5f", prlim[i][i]);        }
           fprintf(ficrespl,"\n");      }
         }               
       }      /* This for computing probability of death (h=1 means
     }         computed over hstepm (estepm) matrices product = hstepm*stepm months) 
   fclose(ficrespl);         as a weighted average of prlim.
       */
   /*------------- h Pij x at various ages ------------*/      for(j=nlstate+1;j<=nlstate+ndeath;j++){
          for(i=1,gmp[j]=0.;i<= nlstate; i++) 
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);          gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
   if((ficrespij=fopen(filerespij,"w"))==NULL) {      }    
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;      /* end probability of death */
   }  
   printf("Computing pij: result on file '%s' \n", filerespij);      fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
        for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   stepsize=(int) (stepm+YEARM-1)/YEARM;        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
   /*if (stepm<=24) stepsize=2;*/        for(i=1; i<=nlstate;i++){
           fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
   agelim=AGESUP;        }
   hstepm=stepsize*YEARM; /* Every year of age */      } 
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */      fprintf(ficresprobmorprev,"\n");
    
   k=0;      fprintf(ficresvij,"%.0f ",age );
   for(cptcov=1;cptcov<=i1;cptcov++){      for(i=1; i<=nlstate;i++)
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        for(j=1; j<=nlstate;j++){
       k=k+1;          fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
         fprintf(ficrespij,"\n#****** ");        }
         for(j=1;j<=cptcoveff;j++)      fprintf(ficresvij,"\n");
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      free_matrix(gp,0,nhstepm,1,nlstate);
         fprintf(ficrespij,"******\n");      free_matrix(gm,0,nhstepm,1,nlstate);
              free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    } /* End age */
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    free_vector(gpp,nlstate+1,nlstate+ndeath);
           oldm=oldms;savm=savms;    free_vector(gmp,nlstate+1,nlstate+ndeath);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);      free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
           fprintf(ficrespij,"# Age");    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
           for(i=1; i<=nlstate;i++)    fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
             for(j=1; j<=nlstate+ndeath;j++)    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
               fprintf(ficrespij," %1d-%1d",i,j);    fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
           fprintf(ficrespij,"\n");  /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
           for (h=0; h<=nhstepm; h++){  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
             for(i=1; i<=nlstate;i++)    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",subdirf(fileresprobmorprev));
               for(j=1; j<=nlstate+ndeath;j++)    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",subdirf(fileresprobmorprev));
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",subdirf(fileresprobmorprev));
             fprintf(ficrespij,"\n");    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",subdirf(fileresprobmorprev),subdirf(fileresprobmorprev));
           }    fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"%s%s.png\"> <br>\n", estepm,subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    /*  fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months and then divided by estepm and multiplied by %.0f in order to have the probability to die over a year <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,YEARM,digitp,digit);
           fprintf(ficrespij,"\n");  */
         }  /*   fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit); */
     }    fprintf(ficgp,"\nset out \"%s%s.png\";replot;\n",subdirf3(optionfilefiname,"varmuptjgr",digitp),digit);
   }  
     free_vector(xp,1,npar);
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/    free_matrix(doldm,1,nlstate,1,nlstate);
     free_matrix(dnewm,1,nlstate,1,npar);
   fclose(ficrespij);    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
   /*---------- Forecasting ------------------*/    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   strcpy(fileresf,"f");    fclose(ficresprobmorprev);
   strcat(fileresf,fileres);    fflush(ficgp);
   if((ficresf=fopen(fileresf,"w"))==NULL) {    fflush(fichtm); 
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;  }  /* end varevsij */
   }  
   printf("Computing forecasting: result on file '%s' \n", fileresf);  /************ Variance of prevlim ******************/
   void varprevlim(char fileres[], double **varpl, double **matcov, double x[], double delti[], int nlstate, int stepm, double bage, double fage, double **oldm, double **savm, double **prlim, double ftolpl, int ij)
   /* Mobile average */  {
     /* Variance of prevalence limit */
   /* for (agedeb=bage; agedeb<=fage; agedeb++)    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
     for (i=1; i<=nlstate;i++)    double **newm;
       for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++)    double **dnewm,**doldm;
       printf("%f %d i=%d j1=%d\n", probs[(int)agedeb][i][cptcod],(int) agedeb,i,cptcod);*/    int i, j, nhstepm, hstepm;
     int k, cptcode;
   if (cptcoveff==0) ncodemax[cptcoveff]=1;    double *xp;
     double *gp, *gm;
   if (mobilav==1) {    double **gradg, **trgradg;
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    double age,agelim;
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)    int theta;
       for (i=1; i<=nlstate;i++)     
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)    fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
           mobaverage[(int)agedeb][i][cptcod]=0.;    fprintf(ficresvpl,"# Age");
        for(i=1; i<=nlstate;i++)
     for (agedeb=bage+4; agedeb<=fage; agedeb++){        fprintf(ficresvpl," %1d-%1d",i,i);
       for (i=1; i<=nlstate;i++){    fprintf(ficresvpl,"\n");
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  
           for (cpt=0;cpt<=4;cpt++){    xp=vector(1,npar);
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];    dnewm=matrix(1,nlstate,1,npar);
           }    doldm=matrix(1,nlstate,1,nlstate);
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;    
         }    hstepm=1*YEARM; /* Every year of age */
       }    hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     }      agelim = AGESUP;
   }    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
   stepsize=(int) (stepm+YEARM-1)/YEARM;      if (stepm >= YEARM) hstepm=1;
   if (stepm<=24) stepsize=2;      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
       gradg=matrix(1,npar,1,nlstate);
   agelim=AGESUP;      gp=vector(1,nlstate);
   hstepm=stepsize*YEARM; /* Every year of age */      gm=vector(1,nlstate);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */  
   hstepm=12;      for(theta=1; theta <=npar; theta++){
    k=0;        for(i=1; i<=npar; i++){ /* Computes gradient */
   for(cptcov=1;cptcov<=i1;cptcov++){          xp[i] = x[i] + (i==theta ?delti[theta]:0);
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){        }
       k=k+1;        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       fprintf(ficresf,"\n#****** ");        for(i=1;i<=nlstate;i++)
       for(j=1;j<=cptcoveff;j++) {          gp[i] = prlim[i][i];
         fprintf(ficresf,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      
       }        for(i=1; i<=npar; i++) /* Computes gradient */
                xp[i] = x[i] - (i==theta ?delti[theta]:0);
       fprintf(ficresf,"******\n");        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         for(i=1;i<=nlstate;i++)
       fprintf(ficresf,"# StartingAge FinalAge Horizon(in years)");          gm[i] = prlim[i][i];
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);  
         for(i=1;i<=nlstate;i++)
       for (agedeb=fage; agedeb>=bage; agedeb--){          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
         fprintf(ficresf,"\n%d %.f %.f 0 ",k,agedeb, agedeb);      } /* End theta */
        if (mobilav==1) {  
         for(j=1; j<=nlstate;j++)      trgradg =matrix(1,nlstate,1,npar);
           fprintf(ficresf,"%.5f ",mobaverage[(int)agedeb][j][cptcod]);  
         }      for(j=1; j<=nlstate;j++)
         else {        for(theta=1; theta <=npar; theta++)
           for(j=1; j<=nlstate;j++)          trgradg[j][theta]=gradg[theta][j];
           fprintf(ficresf,"%.5f ",probs[(int)agedeb][j][cptcod]);  
         }      for(i=1;i<=nlstate;i++)
                varpl[i][(int)age] =0.;
       for(j=1; j<=ndeath;j++) fprintf(ficresf,"0.");      matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
       }      matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
       for (cpt=1; cpt<=NCOVMAX;cpt++)        for(i=1;i<=nlstate;i++)
       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
          
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */      fprintf(ficresvpl,"%.0f ",age );
         nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */      for(i=1; i<=nlstate;i++)
         /*printf("stepm=%d hstepm=%d nhstepm=%d \n",stepm,hstepm,nhstepm);*/        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      free_vector(gp,1,nlstate);
         oldm=oldms;savm=savms;      free_vector(gm,1,nlstate);
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        free_matrix(gradg,1,npar,1,nlstate);
                      free_matrix(trgradg,1,nlstate,1,npar);
         for (h=0; h<=nhstepm; h++){    } /* End age */
          
           if (h*hstepm/YEARM*stepm==cpt)    free_vector(xp,1,npar);
  fprintf(ficresf,"\n%d %.f %.f %.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm, h*hstepm/YEARM*stepm);    free_matrix(doldm,1,nlstate,1,npar);
              free_matrix(dnewm,1,nlstate,1,nlstate);
           for(j=1; j<=nlstate+ndeath;j++) {  
             kk1=0.;  }
             for(i=1; i<=nlstate;i++) {          
               if (mobilav==1)  /************ Variance of one-step probabilities  ******************/
               kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb][i][cptcod];  void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)
               else kk1=kk1+p3mat[i][j][h]*probs[(int)agedeb][i][cptcod];  {
             }        int i, j=0,  i1, k1, l1, t, tj;
             if (h*hstepm/YEARM*stepm==cpt) fprintf(ficresf," %.5f ", kk1);    int k2, l2, j1,  z1;
           }    int k=0,l, cptcode;
         }    int first=1, first1;
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
       }    double **dnewm,**doldm;
     }    double *xp;
   }    double *gp, *gm;
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);    double **gradg, **trgradg;
   fclose(ficresf);    double **mu;
   /*---------- Health expectancies and variances ------------*/    double age,agelim, cov[NCOVMAX];
     double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
   strcpy(filerest,"t");    int theta;
   strcat(filerest,fileres);    char fileresprob[FILENAMELENGTH];
   if((ficrest=fopen(filerest,"w"))==NULL) {    char fileresprobcov[FILENAMELENGTH];
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;    char fileresprobcor[FILENAMELENGTH];
   }  
   printf("Computing Total LEs with variances: file '%s' \n", filerest);    double ***varpij;
   
     strcpy(fileresprob,"prob"); 
   strcpy(filerese,"e");    strcat(fileresprob,fileres);
   strcat(filerese,fileres);    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
   if((ficreseij=fopen(filerese,"w"))==NULL) {      printf("Problem with resultfile: %s\n", fileresprob);
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
   }    }
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);    strcpy(fileresprobcov,"probcov"); 
     strcat(fileresprobcov,fileres);
  strcpy(fileresv,"v");    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
   strcat(fileresv,fileres);      printf("Problem with resultfile: %s\n", fileresprobcov);
   if((ficresvij=fopen(fileresv,"w"))==NULL) {      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);    }
   }    strcpy(fileresprobcor,"probcor"); 
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);    strcat(fileresprobcor,fileres);
     if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
   k=0;      printf("Problem with resultfile: %s\n", fileresprobcor);
   for(cptcov=1;cptcov<=i1;cptcov++){      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    }
       k=k+1;    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
       fprintf(ficrest,"\n#****** ");    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
       for(j=1;j<=cptcoveff;j++)    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
       fprintf(ficrest,"******\n");    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
       fprintf(ficreseij,"\n#****** ");    
       for(j=1;j<=cptcoveff;j++)    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);    fprintf(ficresprob,"# Age");
       fprintf(ficreseij,"******\n");    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
       fprintf(ficresvij,"\n#****** ");    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
       for(j=1;j<=cptcoveff;j++)    fprintf(ficresprobcov,"# Age");
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);  
       fprintf(ficresvij,"******\n");  
     for(i=1; i<=nlstate;i++)
       eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);      for(j=1; j<=(nlstate+ndeath);j++){
       oldm=oldms;savm=savms;        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
       evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k);          fprintf(ficresprobcov," p%1d-%1d ",i,j);
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);        fprintf(ficresprobcor," p%1d-%1d ",i,j);
       oldm=oldms;savm=savms;      }  
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);   /* fprintf(ficresprob,"\n");
          fprintf(ficresprobcov,"\n");
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");    fprintf(ficresprobcor,"\n");
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);   */
       fprintf(ficrest,"\n");   xp=vector(1,npar);
            dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
       hf=1;    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
       if (stepm >= YEARM) hf=stepm/YEARM;    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
       epj=vector(1,nlstate+1);    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
       for(age=bage; age <=fage ;age++){    first=1;
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);    fprintf(ficgp,"\n# Routine varprob");
         if (popbased==1) {    fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
           for(i=1; i<=nlstate;i++)    fprintf(fichtm,"\n");
             prlim[i][i]=probs[(int)age][i][k];  
         }    fprintf(fichtm,"\n<li><h4> <a href=\"%s\">Computing matrix of variance-covariance of step probabilities</a></h4></li>\n",optionfilehtmcov);
            fprintf(fichtmcov,"\n<h4>Computing matrix of variance-covariance of step probabilities</h4>\n\
         fprintf(ficrest," %.0f",age);    file %s<br>\n",optionfilehtmcov);
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){    fprintf(fichtmcov,"\nEllipsoids of confidence centered on point (p<inf>ij</inf>, p<inf>kl</inf>) are estimated\
           for(i=1, epj[j]=0.;i <=nlstate;i++) {  and drawn. It helps understanding how is the covariance between two incidences.\
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];   They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
           }    fprintf(fichtmcov,"\n<br> Contour plot corresponding to x'cov<sup>-1</sup>x = 4 (where x is the column vector (pij,pkl)) are drawn. \
           epj[nlstate+1] +=epj[j];  It can be understood this way: if pij and pkl where uncorrelated the (2x2) matrix of covariance \
         }  would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 \
         for(i=1, vepp=0.;i <=nlstate;i++)  standard deviations wide on each axis. <br>\
           for(j=1;j <=nlstate;j++)   Now, if both incidences are correlated (usual case) we diagonalised the inverse of the covariance matrix\
             vepp += vareij[i][j][(int)age];   and made the appropriate rotation to look at the uncorrelated principal directions.<br>\
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));  To be simple, these graphs help to understand the significativity of each parameter in relation to a second other one.<br> \n");
         for(j=1;j <=nlstate;j++){  
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));    cov[1]=1;
         }    tj=cptcoveff;
         fprintf(ficrest,"\n");    if (cptcovn<1) {tj=1;ncodemax[1]=1;}
       }    j1=0;
     }    for(t=1; t<=tj;t++){
   }      for(i1=1; i1<=ncodemax[t];i1++){ 
                j1++;
                if  (cptcovn>0) {
           fprintf(ficresprob, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
  fclose(ficreseij);          fprintf(ficresprob, "**********\n#\n");
  fclose(ficresvij);          fprintf(ficresprobcov, "\n#********** Variable "); 
   fclose(ficrest);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   fclose(ficpar);          fprintf(ficresprobcov, "**********\n#\n");
   free_vector(epj,1,nlstate+1);          
   /*  scanf("%d ",i); */          fprintf(ficgp, "\n#********** Variable "); 
           for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   /*------- Variance limit prevalence------*/            fprintf(ficgp, "**********\n#\n");
           
 strcpy(fileresvpl,"vpl");          
   strcat(fileresvpl,fileres);          fprintf(fichtm, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {          for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);          fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
     exit(0);          
   }          fprintf(ficresprobcor, "\n#********** Variable ");    
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficresprobcor, "**********\n#");    
  k=0;        }
  for(cptcov=1;cptcov<=i1;cptcov++){        
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        for (age=bage; age<=fage; age ++){ 
      k=k+1;          cov[2]=age;
      fprintf(ficresvpl,"\n#****** ");          for (k=1; k<=cptcovn;k++) {
      for(j=1;j<=cptcoveff;j++)            cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          }
      fprintf(ficresvpl,"******\n");          for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
                for (k=1; k<=cptcovprod;k++)
      varpl=matrix(1,nlstate,(int) bage, (int) fage);            cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
      oldm=oldms;savm=savms;          
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);          gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
    }          trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
  }          gp=vector(1,(nlstate)*(nlstate+ndeath));
           gm=vector(1,(nlstate)*(nlstate+ndeath));
   fclose(ficresvpl);      
           for(theta=1; theta <=npar; theta++){
   /*---------- End : free ----------------*/            for(i=1; i<=npar; i++)
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);              xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
              
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);            pmij(pmmij,cov,ncovmodel,xp,nlstate);
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);            
              k=0;
              for(i=1; i<= (nlstate); i++){
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);              for(j=1; j<=(nlstate+ndeath);j++){
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);                k=k+1;
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);                gp[k]=pmmij[i][j];
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);              }
              }
   free_matrix(matcov,1,npar,1,npar);            
   free_vector(delti,1,npar);            for(i=1; i<=npar; i++)
                xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);      
             pmij(pmmij,cov,ncovmodel,xp,nlstate);
   printf("End of Imach\n");            k=0;
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */            for(i=1; i<=(nlstate); i++){
                for(j=1; j<=(nlstate+ndeath);j++){
   /* printf("Total time was %d Sec. %d uSec.\n", end_time.tv_sec -start_time.tv_sec, end_time.tv_usec -start_time.tv_usec);*/                k=k+1;
   /*printf("Total time was %d uSec.\n", total_usecs);*/                gm[k]=pmmij[i][j];
   /*------ End -----------*/              }
             }
        
  end:            for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
 #ifdef windows              gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
  chdir(pathcd);          }
 #endif  
            for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
  system("..\\gp37mgw\\wgnuplot graph.plt");            for(theta=1; theta <=npar; theta++)
               trgradg[j][theta]=gradg[theta][j];
 #ifdef windows          
   while (z[0] != 'q') {          matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
     chdir(pathcd);          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
     printf("\nType e to edit output files, c to start again, and q for exiting: ");          free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
     scanf("%s",z);          free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
     if (z[0] == 'c') system("./imach");          free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
     else if (z[0] == 'e') {          free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
       chdir(path);  
       system(optionfilehtm);          pmij(pmmij,cov,ncovmodel,x,nlstate);
     }          
     else if (z[0] == 'q') exit(0);          k=0;
   }          for(i=1; i<=(nlstate); i++){
 #endif            for(j=1; j<=(nlstate+ndeath);j++){
 }              k=k+1;
               mu[k][(int) age]=pmmij[i][j];
             }
           }
           for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
             for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
               varpij[i][j][(int)age] = doldm[i][j];
   
           /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
             }*/
   
           fprintf(ficresprob,"\n%d ",(int)age);
           fprintf(ficresprobcov,"\n%d ",(int)age);
           fprintf(ficresprobcor,"\n%d ",(int)age);
   
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
             fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
           for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
             fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
             fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
           }
           i=0;
           for (k=1; k<=(nlstate);k++){
             for (l=1; l<=(nlstate+ndeath);l++){ 
               i=i++;
               fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
               for (j=1; j<=i;j++){
                 fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                 fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
               }
             }
           }/* end of loop for state */
         } /* end of loop for age */
   
         /* Confidence intervalle of pij  */
         /*
           fprintf(ficgp,"\nset noparametric;unset label");
           fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
           fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
           fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);
           fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
           fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
           fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
         */
   
         /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
         first1=1;
         for (k2=1; k2<=(nlstate);k2++){
           for (l2=1; l2<=(nlstate+ndeath);l2++){ 
             if(l2==k2) continue;
             j=(k2-1)*(nlstate+ndeath)+l2;
             for (k1=1; k1<=(nlstate);k1++){
               for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                 if(l1==k1) continue;
                 i=(k1-1)*(nlstate+ndeath)+l1;
                 if(i<=j) continue;
                 for (age=bage; age<=fage; age ++){ 
                   if ((int)age %5==0){
                     v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                     v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
                     mu2=mu[j][(int) age]/stepm*YEARM;
                     c12=cv12/sqrt(v1*v2);
                     /* Computing eigen value of matrix of covariance */
                     lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                     /* Eigen vectors */
                     v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
                     /*v21=sqrt(1.-v11*v11); *//* error */
                     v21=(lc1-v1)/cv12*v11;
                     v12=-v21;
                     v22=v11;
                     tnalp=v21/v11;
                     if(first1==1){
                       first1=0;
                       printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     }
                     fprintf(ficlog,"%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tan %.3f\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);
                     /*printf(fignu*/
                     /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
                     /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
                     if(first==1){
                       first=0;
                       fprintf(ficgp,"\nset parametric;unset label");
                       fprintf(ficgp,"\nset log y;set log x; set xlabel \"p%1d%1d (year-1)\";set ylabel \"p%1d%1d (year-1)\"",k1,l1,k2,l2);
                       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                       fprintf(fichtmcov,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup>\
    :<a href=\"%s%d%1d%1d-%1d%1d.png\">\
   %s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2,\
                               subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br><img src=\"%s%d%1d%1d-%1d%1d.png\"> ",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(fichtmcov,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\"",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nplot [-pi:pi] %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }else{
                       first=0;
                       fprintf(fichtmcov," %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
                       fprintf(ficgp,"\nreplot %11.3e+ %.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)), %11.3e +%.3f*(%11.3e*%11.3e*cos(t)+%11.3e*%11.3e*sin(t)) not",\
                               mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                               mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                     }/* if first */
                   } /* age mod 5 */
                 } /* end loop age */
                 fprintf(ficgp,"\nset out \"%s%d%1d%1d-%1d%1d.png\";replot;",subdirf2(optionfilefiname,"varpijgr"), j1,k1,l1,k2,l2);
                 first=1;
               } /*l12 */
             } /* k12 */
           } /*l1 */
         }/* k1 */
       } /* loop covariates */
     }
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
     free_vector(xp,1,npar);
     fclose(ficresprob);
     fclose(ficresprobcov);
     fclose(ficresprobcor);
     fflush(ficgp);
     fflush(fichtmcov);
   }
   
   
   /******************* Printing html file ***********/
   void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
                     int lastpass, int stepm, int weightopt, char model[],\
                     int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
                     int popforecast, int estepm ,\
                     double jprev1, double mprev1,double anprev1, \
                     double jprev2, double mprev2,double anprev2){
     int jj1, k1, i1, cpt;
     /*char optionfilehtm[FILENAMELENGTH];*/
   /*   if((fichtm=fopen(optionfilehtm,"a"))==NULL)    { */
   /*     printf("Problem with %s \n",optionfilehtm), exit(0); */
   /*     fprintf(ficlog,"Problem with %s \n",optionfilehtm), exit(0); */
   /*   } */
   
      fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n \
    - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"%s\">%s</a> <br>\n \
    - Estimated transition probabilities over %d (stepm) months: <a href=\"%s\">%s</a><br>\n \
    - Stable prevalence in each health state: <a href=\"%s\">%s</a> <br>\n \
    - Life expectancies by age and initial health status (estepm=%2d months): \
      <a href=\"%s\">%s</a> <br>\n</li>", \
              jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,subdirf2(fileres,"p"),subdirf2(fileres,"p"),\
              stepm,subdirf2(fileres,"pij"),subdirf2(fileres,"pij"),\
              subdirf2(fileres,"pl"),subdirf2(fileres,"pl"),\
              estepm,subdirf2(fileres,"e"),subdirf2(fileres,"e"));
   
   fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        /* Pij */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i, %d (stepm) months before: %s%d1.png<br> \
   <img src=\"%s%d1.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1);     
        /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months\
    before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: %s%d2.png<br> \
   <img src=\"%s%d2.png\">",stepm,subdirf2(optionfilefiname,"pe"),jj1,subdirf2(optionfilefiname,"pe"),jj1); 
          /* Stable prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
            fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br> \
   <img src=\"%s%d%d.png\">",subdirf2(optionfilefiname,"p"),cpt,jj1,subdirf2(optionfilefiname,"p"),cpt,jj1);
          }
        for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): %s%d%d.png <br> \
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"exp"),cpt,jj1,subdirf2(optionfilefiname,"exp"),cpt,jj1);
        }
        fprintf(fichtm,"\n<br>- Total life expectancy by age and \
   health expectancies in states (1) and (2): %s%d.png<br>\
   <img src=\"%s%d.png\">",subdirf2(optionfilefiname,"e"),jj1,subdirf2(optionfilefiname,"e"),jj1);
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
   
   
    fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n\
    - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n\
    - Variance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n\
    - Variance-covariance of one-step probabilities: <a href=\"%s\">%s</a> <br>\n\
    - Correlation matrix of one-step probabilities: <a href=\"%s\">%s</a> <br>\n\
    - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"%s\">%s</a><br>\n\
    - Health expectancies with their variances (no covariance): <a href=\"%s\">%s</a> <br>\n\
    - Standard deviation of stable prevalences: <a href=\"%s\">%s</a> <br>\n",\
            rfileres,rfileres,\
            subdirf2(fileres,"prob"),subdirf2(fileres,"prob"),\
            subdirf2(fileres,"probcov"),subdirf2(fileres,"probcov"),\
            subdirf2(fileres,"probcor"),subdirf2(fileres,"probcor"),\
            estepm, subdirf2(fileres,"v"),subdirf2(fileres,"v"),\
            subdirf2(fileres,"t"),subdirf2(fileres,"t"),\
            subdirf2(fileres,"vpl"),subdirf2(fileres,"vpl"));
   
   /*  if(popforecast==1) fprintf(fichtm,"\n */
   /*  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n */
   /*  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n */
   /*      <br>",fileres,fileres,fileres,fileres); */
   /*  else  */
   /*    fprintf(fichtm,"\n No population forecast: popforecast = %d (instead of 1) or stepm = %d (instead of 1) or model=%s (instead of .)<br><br></li>\n",popforecast, stepm, model); */
   fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
   
    m=cptcoveff;
    if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   
    jj1=0;
    for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
        if (cptcovn > 0) {
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
        }
        for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm,"<br>- Observed and period prevalence (with confident\
   interval) in state (%d): %s%d%d.png <br>\
   <img src=\"%s%d%d.png\">",cpt,subdirf2(optionfilefiname,"v"),cpt,jj1,subdirf2(optionfilefiname,"v"),cpt,jj1);  
        }
      } /* end i1 */
    }/* End k1 */
    fprintf(fichtm,"</ul>");
    fflush(fichtm);
   }
   
   /******************* Gnuplot file **************/
   void printinggnuplot(char fileres[], char optionfilefiname[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   
     char dirfileres[132],optfileres[132];
     int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
   /*   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) { */
   /*     printf("Problem with file %s",optionfilegnuplot); */
   /*     fprintf(ficlog,"Problem with file %s",optionfilegnuplot); */
   /*   } */
   
     /*#ifdef windows */
     fprintf(ficgp,"cd \"%s\" \n",pathc);
       /*#endif */
     m=pow(2,cptcoveff);
   
     strcpy(dirfileres,optionfilefiname);
     strcpy(optfileres,"vpl");
    /* 1eme*/
     for (cpt=1; cpt<= nlstate ; cpt ++) {
      for (k1=1; k1<= m ; k1 ++) {
        fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"v"),cpt,k1);
        fprintf(ficgp,"\n#set out \"v%s%d%d.png\" \n",optionfilefiname,cpt,k1);
        fprintf(ficgp,"set xlabel \"Age\" \n\
   set ylabel \"Probability\" \n\
   set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,subdirf2(fileres,"vpl"),k1-1,k1-1);
   
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }
        fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        } 
        fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",subdirf2(fileres,"vpl"),k1-1,k1-1); 
        for (i=1; i<= nlstate ; i ++) {
          if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          else fprintf(ficgp," \%%*lf (\%%*lf)");
        }  
        fprintf(ficgp,"\" t\"\" w l 1,\"%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",subdirf2(fileres,"p"),k1-1,k1-1,2+4*(cpt-1));
      }
     }
     /*2 eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,"\nset out \"%s%d.png\" \n",subdirf2(optionfilefiname,"e"),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
       
       for (i=1; i<= nlstate+1 ; i ++) {
         k=2*i;
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:2 \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
         else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         fprintf(ficgp,"\" t\"\" w l 0,");
         fprintf(ficgp,"\"%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",subdirf2(fileres,"t"),k1-1,k1-1);
         for (j=1; j<= nlstate+1 ; j ++) {
           if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           else fprintf(ficgp," \%%*lf (\%%*lf)");
         }   
         if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
         else fprintf(ficgp,"\" t\"\" w l 0,");
       }
     }
     
     /*3eme*/
     
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<= nlstate ; cpt ++) {
         k=2+nlstate*(2*cpt-2);
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"exp"),cpt,k1);
         fprintf(ficgp,"set ter png small\n\
   set size 0.65,0.65\n\
   plot [%.f:%.f] \"%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,subdirf2(fileres,"e"),k1-1,k1-1,k,cpt);
         /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
           for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
           fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
         */
         for (i=1; i< nlstate ; i ++) {
           fprintf(ficgp," ,\"%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",subdirf2(fileres,"e"),k1-1,k1-1,k+2*i,cpt,i+1);
           
         } 
       }
     }
     
     /* CV preval stable (period) */
     for (k1=1; k1<= m ; k1 ++) { 
       for (cpt=1; cpt<=nlstate ; cpt ++) {
         k=3;
         fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"p"),cpt,k1);
         fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \n\
   set ter png small\nset size 0.65,0.65\n\
   unset log y\n\
   plot [%.f:%.f] \"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,subdirf2(fileres,"pij"),k1,k+cpt+1,k+1);
         
         for (i=1; i< nlstate ; i ++)
           fprintf(ficgp,"+$%d",k+i+1);
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
         
         l=3+(nlstate+ndeath)*cpt;
         fprintf(ficgp,",\"%s\" u ($1==%d ? ($3):1/0):($%d/($%d",subdirf2(fileres,"pij"),k1,l+cpt+1,l+1);
         for (i=1; i< nlstate ; i ++) {
           l=3+(nlstate+ndeath)*cpt;
           fprintf(ficgp,"+$%d",l+i+1);
         }
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
       } 
     }  
     
     /* proba elementaires */
     for(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) {
           for(j=1; j <=ncovmodel; j++){
             fprintf(ficgp,"p%d=%f ",jk,p[jk]);
             jk++; 
             fprintf(ficgp,"\n");
           }
         }
       }
      }
   
      for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
        for(jk=1; jk <=m; jk++) {
          fprintf(ficgp,"\nset out \"%s%d%d.png\" \n",subdirf2(optionfilefiname,"pe"),jk,ng); 
          if (ng==2)
            fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
          else
            fprintf(ficgp,"\nset title \"Probability\"\n");
          fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
          i=1;
          for(k2=1; k2<=nlstate; k2++) {
            k3=i;
            for(k=1; k<=(nlstate+ndeath); k++) {
              if (k != k2){
                if(ng==2)
                  fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
                else
                  fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
                ij=1;
                for(j=3; j <=ncovmodel; j++) {
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                    fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                    ij++;
                  }
                  else
                    fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                }
                fprintf(ficgp,")/(1");
                
                for(k1=1; k1 <=nlstate; k1++){   
                  fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
                  ij=1;
                  for(j=3; j <=ncovmodel; j++){
                    if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
                      fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
                      ij++;
                    }
                    else
                      fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
                  }
                  fprintf(ficgp,")");
                }
                fprintf(ficgp,") t \"p%d%d\" ", k2,k);
                if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
              }
            } /* end k */
          } /* end k2 */
        } /* end jk */
      } /* end ng */
      fflush(ficgp); 
   }  /* end gnuplot */
   
   
   /*************** Moving average **************/
   int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   
     int i, cpt, cptcod;
     int modcovmax =1;
     int mobilavrange, mob;
     double age;
   
     modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
                              a covariate has 2 modalities */
     if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   
     if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
       else mobilavrange=mobilav;
       for (age=bage; age<=fage; age++)
         for (i=1; i<=nlstate;i++)
           for (cptcod=1;cptcod<=modcovmax;cptcod++)
             mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
       /* We keep the original values on the extreme ages bage, fage and for 
          fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
          we use a 5 terms etc. until the borders are no more concerned. 
       */ 
       for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
             for (cptcod=1;cptcod<=modcovmax;cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
                 for (cpt=1;cpt<=(mob-1)/2;cpt++){
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
                   mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
             }
           }
         }/* end age */
       }/* end mob */
     }else return -1;
     return 0;
   }/* End movingaverage */
   
   
   /************** Forecasting ******************/
   prevforecast(char fileres[], double anproj1, double mproj1, double jproj1, double ageminpar, double agemax, double dateprev1, double dateprev2, int mobilav, double bage, double fage, int firstpass, int lastpass, double anproj2, double p[], int cptcoveff){
     /* proj1, year, month, day of starting projection 
        agemin, agemax range of age
        dateprev1 dateprev2 range of dates during which prevalence is computed
        anproj2 year of en of projection (same day and month as proj1).
     */
     int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
     int *popage;
     double agec; /* generic age */
     double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
    
     strcpy(fileresf,"f"); 
     strcat(fileresf,fileres);
     if((ficresf=fopen(fileresf,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", fileresf);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
     }
     printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     if(estepm < stepm){
       printf ("Problem %d lower than %d\n",estepm, stepm);
     }
     else  hstepm=estepm;   
   
     hstepm=hstepm/stepm; 
     yp1=modf(dateintmean,&yp);/* extracts integral of datemean in yp  and
                                  fractional in yp1 */
     anprojmean=yp;
     yp2=modf((yp1*12),&yp);
     mprojmean=yp;
     yp1=modf((yp2*30.5),&yp);
     jprojmean=yp;
     if(jprojmean==0) jprojmean=1;
     if(mprojmean==0) jprojmean=1;
   
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
     
     fprintf(ficresf,"# Mean day of interviews %.lf/%.lf/%.lf (%.2f) between %.2f and %.2f \n",jprojmean,mprojmean,anprojmean,dateintmean,dateprev1,dateprev2); 
     
     fprintf(ficresf,"#****** Routine prevforecast **\n");
   
   /*            if (h==(int)(YEARM*yearp)){ */
     for(cptcov=1, k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficresf,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficresf," V%d=%d, hpijx=probability over h years, hp.jx is weighted by observed prev ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficresf,"******\n");
         fprintf(ficresf,"# Covariate valuofcovar yearproj age");
         for(j=1; j<=nlstate+ndeath;j++){ 
           for(i=1; i<=nlstate;i++)              
             fprintf(ficresf," p%d%d",i,j);
           fprintf(ficresf," p.%d",j);
         }
         for (yearp=0; yearp<=(anproj2-anproj1);yearp +=stepsize) { 
           fprintf(ficresf,"\n");
           fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+yearp);   
   
           for (agec=fage; agec>=(ageminpar-1); agec--){ 
             nhstepm=(int) rint((agelim-agec)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agec,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h*hstepm/YEARM*stepm ==yearp) {
                 fprintf(ficresf,"\n");
                 for(j=1;j<=cptcoveff;j++) 
                   fprintf(ficresf,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
                 fprintf(ficresf,"%.f %.f ",anproj1+yearp,agec+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 ppij=0.;
                 for(i=1; i<=nlstate;i++) {
                   if (mobilav==1) 
                     ppij=ppij+p3mat[i][j][h]*mobaverage[(int)agec][i][cptcod];
                   else {
                     ppij=ppij+p3mat[i][j][h]*probs[(int)(agec)][i][cptcod];
                   }
                   if (h*hstepm/YEARM*stepm== yearp) {
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                   }
                 } /* end i */
                 if (h*hstepm/YEARM*stepm==yearp) {
                   fprintf(ficresf," %.3f", ppij);
                 }
               }/* end j */
             } /* end h */
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           } /* end agec */
         } /* end yearp */
       } /* end cptcod */
     } /* end  cptcov */
          
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     fclose(ficresf);
   }
   
   /************** Forecasting *****not tested NB*************/
   populforecast(char fileres[], double anpyram,double mpyram,double jpyram,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anpyram1,double p[], int i2){
     
     int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     int *popage;
     double calagedatem, agelim, kk1, kk2;
     double *popeffectif,*popcount;
     double ***p3mat,***tabpop,***tabpopprev;
     double ***mobaverage;
     char filerespop[FILENAMELENGTH];
   
     tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     agelim=AGESUP;
     calagedatem=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
     
     prevalence(probs, ageminpar, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     
     
     strcpy(filerespop,"pop"); 
     strcat(filerespop,fileres);
     if((ficrespop=fopen(filerespop,"w"))==NULL) {
       printf("Problem with forecast resultfile: %s\n", filerespop);
       fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
     }
     printf("Computing forecasting: result on file '%s' \n", filerespop);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
   
     if (cptcoveff==0) ncodemax[cptcoveff]=1;
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     if (stepm<=12) stepsize=1;
     
     agelim=AGESUP;
     
     hstepm=1;
     hstepm=hstepm/stepm; 
     
     if (popforecast==1) {
       if((ficpop=fopen(popfile,"r"))==NULL) {
         printf("Problem with population file : %s\n",popfile);exit(0);
         fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
       } 
       popage=ivector(0,AGESUP);
       popeffectif=vector(0,AGESUP);
       popcount=vector(0,AGESUP);
       
       i=1;   
       while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
      
       imx=i;
       for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
     }
   
     for(cptcov=1,k=0;cptcov<=i2;cptcov++){
      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
         k=k+1;
         fprintf(ficrespop,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficrespop,"******\n");
         fprintf(ficrespop,"# Age");
         for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);
         if (popforecast==1)  fprintf(ficrespop," [Population]");
         
         for (cpt=0; cpt<=0;cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   if (mobilav==1) 
                     kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
                   else {
                     kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
                 }
                 if (h==(int)(calagedatem+12*cpt)){
                   tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
                       if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
                 }
               }
               for(i=1; i<=nlstate;i++){
                 kk1=0.;
                   for(j=1; j<=nlstate;j++){
                     kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
                   }
                     tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedatem+12*cpt)*hstepm/YEARM*stepm-1)];
               }
   
               if (h==(int)(calagedatem+12*cpt)) for(j=1; j<=nlstate;j++) 
                 fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
    
     /******/
   
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
           fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           for (agedeb=(fage-((int)calagedatem %12/12.)); agedeb>=(ageminpar-((int)calagedatem %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
             
             p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             oldm=oldms;savm=savms;
             hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             for (h=0; h<=nhstepm; h++){
               if (h==(int) (calagedatem+YEARM*cpt)) {
                 fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
               } 
               for(j=1; j<=nlstate+ndeath;j++) {
                 kk1=0.;kk2=0;
                 for(i=1; i<=nlstate;i++) {              
                   kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
                 }
                 if (h==(int)(calagedatem+12*cpt)) fprintf(ficresf," %15.2f", kk1);        
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
      } 
     }
    
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     if (popforecast==1) {
       free_ivector(popage,0,AGESUP);
       free_vector(popeffectif,0,AGESUP);
       free_vector(popcount,0,AGESUP);
     }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   } /* End of popforecast */
   
   int fileappend(FILE *fichier, char *optionfich)
   {
     if((fichier=fopen(optionfich,"a"))==NULL) {
       printf("Problem with file: %s\n", optionfich);
       fprintf(ficlog,"Problem with file: %s\n", optionfich);
       return (0);
     }
     fflush(fichier);
     return (1);
   }
   void prwizard(int ncovmodel, int nlstate, int ndeath,  char model[], FILE *ficparo)
   {
   
     char ca[32], cb[32], cc[32];
     int i,j, k, l, li, lj, lk, ll, jj, npar, itimes;
     int numlinepar;
   
     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     fprintf(ficparo,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         /*ca[0]= k+'a'-1;ca[1]='\0';*/
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%1d%1d",i,j);
         for(k=1; k<=ncovmodel;k++){
           /*        printf(" %lf",param[i][j][k]); */
           /*        fprintf(ficparo," %lf",param[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficparo,"# Scales (for hessian or gradient estimation)\n");
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/ 
     for(i=1; i <=nlstate; i++){
       jj=0;
       for(j=1; j <=nlstate+ndeath; j++){
         if(j==i) continue;
         jj++;
         fprintf(ficparo,"%1d%1d",i,j);
         printf("%1d%1d",i,j);
         fflush(stdout);
         for(k=1; k<=ncovmodel;k++){
           /*      printf(" %le",delti3[i][j][k]); */
           /*      fprintf(ficparo," %le",delti3[i][j][k]); */
           printf(" 0.");
           fprintf(ficparo," 0.");
         }
         numlinepar++;
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     printf("# Covariance matrix\n");
   /* # 121 Var(a12)\n\ */
   /* # 122 Cov(b12,a12) Var(b12)\n\ */
   /* # 131 Cov(a13,a12) Cov(a13,b12, Var(a13)\n\ */
   /* # 132 Cov(b13,a12) Cov(b13,b12, Cov(b13,a13) Var(b13)\n\ */
   /* # 212 Cov(a21,a12) Cov(a21,b12, Cov(a21,a13) Cov(a21,b13) Var(a21)\n\ */
   /* # 212 Cov(b21,a12) Cov(b21,b12, Cov(b21,a13) Cov(b21,b13) Cov(b21,a21) Var(b21)\n\ */
   /* # 232 Cov(a23,a12) Cov(a23,b12, Cov(a23,a13) Cov(a23,b13) Cov(a23,a21) Cov(a23,b21) Var(a23)\n\ */
   /* # 232 Cov(b23,a12) Cov(b23,b12) ... Var (b23)\n" */
     fflush(stdout);
     fprintf(ficparo,"# Covariance matrix\n");
     /* # 121 Var(a12)\n\ */
     /* # 122 Cov(b12,a12) Var(b12)\n\ */
     /* #   ...\n\ */
     /* # 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n" */
     
     for(itimes=1;itimes<=2;itimes++){
       jj=0;
       for(i=1; i <=nlstate; i++){
         for(j=1; j <=nlstate+ndeath; j++){
           if(j==i) continue;
           for(k=1; k<=ncovmodel;k++){
             jj++;
             ca[0]= k+'a'-1;ca[1]='\0';
             if(itimes==1){
               printf("#%1d%1d%d",i,j,k);
               fprintf(ficparo,"#%1d%1d%d",i,j,k);
             }else{
               printf("%1d%1d%d",i,j,k);
               fprintf(ficparo,"%1d%1d%d",i,j,k);
               /*  printf(" %.5le",matcov[i][j]); */
             }
             ll=0;
             for(li=1;li <=nlstate; li++){
               for(lj=1;lj <=nlstate+ndeath; lj++){
                 if(lj==li) continue;
                 for(lk=1;lk<=ncovmodel;lk++){
                   ll++;
                   if(ll<=jj){
                     cb[0]= lk +'a'-1;cb[1]='\0';
                     if(ll<jj){
                       if(itimes==1){
                         printf(" Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                         fprintf(ficparo," Cov(%s%1d%1d,%s%1d%1d)",ca,i,j,cb, li,lj);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }else{
                       if(itimes==1){
                         printf(" Var(%s%1d%1d)",ca,i,j);
                         fprintf(ficparo," Var(%s%1d%1d)",ca,i,j);
                       }else{
                         printf(" 0.");
                         fprintf(ficparo," 0.");
                       }
                     }
                   }
                 } /* end lk */
               } /* end lj */
             } /* end li */
             printf("\n");
             fprintf(ficparo,"\n");
             numlinepar++;
           } /* end k*/
         } /*end j */
       } /* end i */
     }
   
   } /* end of prwizard */
   
   
   /***********************************************/
   /**************** Main Program *****************/
   /***********************************************/
   
   int main(int argc, char *argv[])
   {
     int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav);
     int i,j, k, n=MAXN,iter,m,size=100,cptcode, cptcod;
     int jj, imk;
     int numlinepar=0; /* Current linenumber of parameter file */
     /*  FILE *fichtm; *//* Html File */
     /* FILE *ficgp;*/ /*Gnuplot File */
     double agedeb, agefin,hf;
     double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
   
     double fret;
     double **xi,tmp,delta;
   
     double dum; /* Dummy variable */
     double ***p3mat;
     double ***mobaverage;
     int *indx;
     char line[MAXLINE], linepar[MAXLINE];
     char path[MAXLINE],pathc[MAXLINE],pathcd[MAXLINE],pathtot[MAXLINE],model[MAXLINE];
     char pathr[MAXLINE]; 
     int firstobs=1, lastobs=10;
     int sdeb, sfin; /* Status at beginning and end */
     int c,  h , cpt,l;
     int ju,jl, mi;
     int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;
     int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,*tab; 
     int mobilavproj=0 , prevfcast=0 ; /* moving average of prev, If prevfcast=1 prevalence projection */
     int mobilav=0,popforecast=0;
     int hstepm, nhstepm;
     double jprev1=1, mprev1=1,anprev1=2000,jprev2=1, mprev2=1,anprev2=2000;
     double jpyram=1, mpyram=1,anpyram=2000,jpyram1=1, mpyram1=1,anpyram1=2000;
   
     double bage, fage, age, agelim, agebase;
     double ftolpl=FTOL;
     double **prlim;
     double *severity;
     double ***param; /* Matrix of parameters */
     double  *p;
     double **matcov; /* Matrix of covariance */
     double ***delti3; /* Scale */
     double *delti; /* Scale */
     double ***eij, ***vareij;
     double **varpl; /* Variances of prevalence limits by age */
     double *epj, vepp;
     double kk1, kk2;
     double dateprev1, dateprev2,jproj1=1,mproj1=1,anproj1=2000,jproj2=1,mproj2=1,anproj2=2000;
   
     char *alph[]={"a","a","b","c","d","e"}, str[4];
   
   
     char z[1]="c", occ;
   
     char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
     char strstart[80], *strt, strtend[80];
     char *stratrunc;
     int lstra;
   
     long total_usecs;
    
     /*   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     (void) gettimeofday(&start_time,&tzp);
     curr_time=start_time;
     tm = *localtime(&start_time.tv_sec);
     tmg = *gmtime(&start_time.tv_sec);
     strcpy(strstart,asctime(&tm));
   
   /*  printf("Localtime (at start)=%s",strstart); */
   /*  tp.tv_sec = tp.tv_sec +86400; */
   /*  tm = *localtime(&start_time.tv_sec); */
   /*   tmg.tm_year=tmg.tm_year +dsign*dyear; */
   /*   tmg.tm_mon=tmg.tm_mon +dsign*dmonth; */
   /*   tmg.tm_hour=tmg.tm_hour + 1; */
   /*   tp.tv_sec = mktime(&tmg); */
   /*   strt=asctime(&tmg); */
   /*   printf("Time(after) =%s",strstart);  */
   /*  (void) time (&time_value);
   *  printf("time=%d,t-=%d\n",time_value,time_value-86400);
   *  tm = *localtime(&time_value);
   *  strstart=asctime(&tm);
   *  printf("tim_value=%d,asctime=%s\n",time_value,strstart); 
   */
   
     nberr=0; /* Number of errors and warnings */
     nbwarn=0;
     getcwd(pathcd, size);
   
     printf("\n%s\n%s",version,fullversion);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       scanf("%s",pathtot);
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, MAXLINE)!= NULL)printf ("Error pathcd\n");*/
     /*cygwin_split_path(pathtot,path,optionfile);
       printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
     /* cutv(path,optionfile,pathtot,'\\');*/
   
     split(pathtot,path,optionfile,optionfilext,optionfilefiname);
     printf("pathtot=%s,\npath=%s,\noptionfile=%s \noptionfilext=%s \noptionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path);
     strcpy(command,"mkdir ");
     strcat(command,optionfilefiname);
     if((outcmd=system(command)) != 0){
       printf("Problem creating directory or it already exists %s%s, err=%d\n",path,optionfilefiname,outcmd);
       /* fprintf(ficlog,"Problem creating directory %s%s\n",path,optionfilefiname); */
       /* fclose(ficlog); */
   /*     exit(1); */
     }
   /*   if((imk=mkdir(optionfilefiname))<0){ */
   /*     perror("mkdir"); */
   /*   } */
   
     /*-------- arguments in the command line --------*/
   
     /* Log file */
     strcat(filelog, optionfilefiname);
     strcat(filelog,".log");    /* */
     if((ficlog=fopen(filelog,"w"))==NULL)    {
       printf("Problem with logfile %s\n",filelog);
       goto end;
     }
     fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"\n%s\n%s",version,fullversion);
     fprintf(ficlog,"\nEnter the parameter file name: ");
     fprintf(ficlog,"pathtot=%s\n\
    path=%s \n\
    optionfile=%s\n\
    optionfilext=%s\n\
    optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
   
     printf("Localtime (at start):%s",strstart);
     fprintf(ficlog,"Localtime (at start): %s",strstart);
     fflush(ficlog);
   /*   (void) gettimeofday(&curr_time,&tzp); */
   /*   printf("Elapsed time %d\n", asc_diff_time(curr_time.tv_sec-start_time.tv_sec,tmpout)); */
   
     /* */
     strcpy(fileres,"r");
     strcat(fileres, optionfilefiname);
     strcat(fileres,".txt");    /* Other files have txt extension */
   
     /*---------arguments file --------*/
   
     if((ficpar=fopen(optionfile,"r"))==NULL)    {
       printf("Problem with optionfile %s\n",optionfile);
       fprintf(ficlog,"Problem with optionfile %s\n",optionfile);
       fflush(ficlog);
       goto end;
     }
   
   
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) { /* opened on subdirectory */
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       fflush(ficlog);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     numlinepar=0;
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%lf stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d model=%s\n",title, datafile, &lastobs, &firstpass,&lastpass,&ftol, &stepm, &ncovcol, &nlstate,&ndeath, &maxwav, &mle, &weightopt,model);
     numlinepar++;
     printf("title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate,ndeath, maxwav, mle, weightopt,model);
     fprintf(ficparo,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fprintf(ficlog,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle=%d weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol,stepm,ncovcol,nlstate,ndeath,maxwav, mle, weightopt,model);
     fflush(ficlog);
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
      
     covar=matrix(0,NCOVMAX,1,n); 
     cptcovn=0; /*Number of covariates, i.e. number of '+' in model statement*/
     if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;
   
     ncovmodel=2+cptcovn; /*Number of variables = cptcovn + intercept + age */
     nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
    
     if(mle==-1){ /* Print a wizard for help writing covariance matrix */
       prwizard(ncovmodel, nlstate, ndeath, model, ficparo);
       printf(" You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fprintf(ficlog," You choose mle=-1, look at file %s for a template of covariance matrix \n",filereso);
       fclose (ficparo);
       fclose (ficlog);
       exit(0);
     }
     /* Read guess parameters */
     /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     for(i=1; i <=nlstate; i++){
       j=0;
       for(jj=1; jj <=nlstate+ndeath; jj++){
         if(jj==i) continue;
         j++;
         fscanf(ficpar,"%1d%1d",&i1,&j1);
         if ((i1 != i) && (j1 != j)){
           printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
           exit(1);
         }
         fprintf(ficparo,"%1d%1d",i1,j1);
         if(mle==1)
           printf("%1d%1d",i,j);
         fprintf(ficlog,"%1d%1d",i,j);
         for(k=1; k<=ncovmodel;k++){
           fscanf(ficpar," %lf",&param[i][j][k]);
           if(mle==1){
             printf(" %lf",param[i][j][k]);
             fprintf(ficlog," %lf",param[i][j][k]);
           }
           else
             fprintf(ficlog," %lf",param[i][j][k]);
           fprintf(ficparo," %lf",param[i][j][k]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
     }  
     fflush(ficlog);
   
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel; /* Number of parameters*/
   
     p=param[1][1];
     
     /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
   
     delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     /* delti=vector(1,npar); *//* Scale of each paramater (output from hesscov) */
     for(i=1; i <=nlstate; i++){
       for(j=1; j <=nlstate+ndeath-1; j++){
         fscanf(ficpar,"%1d%1d",&i1,&j1);
         if ((i1-i)*(j1-j)!=0){
           printf("Error in line parameters number %d, %1d%1d instead of %1d%1d \n",numlinepar, i,j, i1, j1);
           exit(1);
         }
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%1d%1d",i1,j1);
         fprintf(ficlog,"%1d%1d",i1,j1);
         for(k=1; k<=ncovmodel;k++){
           fscanf(ficpar,"%le",&delti3[i][j][k]);
           printf(" %le",delti3[i][j][k]);
           fprintf(ficparo," %le",delti3[i][j][k]);
           fprintf(ficlog," %le",delti3[i][j][k]);
         }
         fscanf(ficpar,"\n");
         numlinepar++;
         printf("\n");
         fprintf(ficparo,"\n");
         fprintf(ficlog,"\n");
       }
     }
     fflush(ficlog);
   
     delti=delti3[1][1];
   
   
     /* free_ma3x(delti3,1,nlstate,1,nlstate+ndeath-1,1,ncovmodel); */ /* Hasn't to to freed here otherwise delti is no more allocated */
     
     /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       numlinepar++;
       puts(line);
       fputs(line,ficparo);
       fputs(line,ficlog);
     }
     ungetc(c,ficpar);
     
     matcov=matrix(1,npar,1,npar);
     for(i=1; i <=npar; i++){
       fscanf(ficpar,"%s",&str);
       if(mle==1)
         printf("%s",str);
       fprintf(ficlog,"%s",str);
       fprintf(ficparo,"%s",str);
       for(j=1; j <=i; j++){
         fscanf(ficpar," %le",&matcov[i][j]);
         if(mle==1){
           printf(" %.5le",matcov[i][j]);
         }
         fprintf(ficlog," %.5le",matcov[i][j]);
         fprintf(ficparo," %.5le",matcov[i][j]);
       }
       fscanf(ficpar,"\n");
       numlinepar++;
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       fprintf(ficparo,"\n");
     }
     for(i=1; i <=npar; i++)
       for(j=i+1;j<=npar;j++)
         matcov[i][j]=matcov[j][i];
      
     if(mle==1)
       printf("\n");
     fprintf(ficlog,"\n");
   
     fflush(ficlog);
   
     /*-------- Rewriting paramater file ----------*/
     strcpy(rfileres,"r");    /* "Rparameterfile */
     strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
     strcat(rfileres,".");    /* */
     strcat(rfileres,optionfilext);    /* Other files have txt extension */
     if((ficres =fopen(rfileres,"w"))==NULL) {
       printf("Problem writing new parameter file: %s\n", fileres);goto end;
       fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
     }
     fprintf(ficres,"#%s\n",version);
       
     /*-------- data file ----------*/
     if((fic=fopen(datafile,"r"))==NULL)    {
       printf("Problem with datafile: %s\n", datafile);goto end;
       fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;
     }
   
     n= lastobs;
     severity = vector(1,maxwav);
     outcome=imatrix(1,maxwav+1,1,n);
     num=lvector(1,n);
     moisnais=vector(1,n);
     annais=vector(1,n);
     moisdc=vector(1,n);
     andc=vector(1,n);
     agedc=vector(1,n);
     cod=ivector(1,n);
     weight=vector(1,n);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
     mint=matrix(1,maxwav,1,n);
     anint=matrix(1,maxwav,1,n);
     s=imatrix(1,maxwav+1,1,n);
     tab=ivector(1,NCOVMAX);
     ncodemax=ivector(1,8);
   
     i=1;
     while (fgets(line, MAXLINE, fic) != NULL)    {
       if ((i >= firstobs) && (i <=lastobs)) {
           
         for (j=maxwav;j>=1;j--){
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb); 
           strcpy(line,stra);
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         }
           
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);
   
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);
         for (j=ncovcol;j>=1;j--){
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         } 
         lstra=strlen(stra);
         if(lstra > 9){ /* More than 2**32 or max of what printf can write with %ld */
           stratrunc = &(stra[lstra-9]);
           num[i]=atol(stratrunc);
         }
         else
           num[i]=atol(stra);
           
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
           printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]),weight[i], (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i])); ij=ij+1;}*/
   
         i=i+1;
       }
     }
     /* printf("ii=%d", ij);
        scanf("%d",i);*/
     imx=i-1; /* Number of individuals */
   
     /* for (i=1; i<=imx; i++){
       if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;
       if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;
       if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;
       }*/
      /*  for (i=1; i<=imx; i++){
        if (s[4][i]==9)  s[4][i]=-1; 
        printf("%ld %.lf %.lf %.lf %.lf/%.lf %.lf/%.lf %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d %.lf/%.lf %d\n",num[i],(covar[1][i]), (covar[2][i]), (weight[i]), (moisnais[i]), (annais[i]), (moisdc[i]), (andc[i]), (mint[1][i]), (anint[1][i]), (s[1][i]),  (mint[2][i]), (anint[2][i]), (s[2][i]),  (mint[3][i]), (anint[3][i]), (s[3][i]),  (mint[4][i]), (anint[4][i]), (s[4][i]));}*/
     
    for (i=1; i<=imx; i++)
    
      /*if ((s[3][i]==3) ||  (s[4][i]==3)) weight[i]=0.08;
        else weight[i]=1;*/
   
     /* Calculation of the number of parameter from char model*/
     Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */
     Tprod=ivector(1,15); 
     Tvaraff=ivector(1,15); 
     Tvard=imatrix(1,15,1,2);
     Tage=ivector(1,15);      
      
     if (strlen(model) >1){ /* If there is at least 1 covariate */
       j=0, j1=0, k1=1, k2=1;
       j=nbocc(model,'+'); /* j=Number of '+' */
       j1=nbocc(model,'*'); /* j1=Number of '*' */
       cptcovn=j+1; 
       cptcovprod=j1; /*Number of products */
       
       strcpy(modelsav,model); 
       if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){
         printf("Error. Non available option model=%s ",model);
         fprintf(ficlog,"Error. Non available option model=%s ",model);
         goto end;
       }
       
       /* This loop fills the array Tvar from the string 'model'.*/
   
       for(i=(j+1); i>=1;i--){
         cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */ 
         if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyzes it */
         /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
         /*scanf("%d",i);*/
         if (strchr(strb,'*')) {  /* Model includes a product */
           cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/
           if (strcmp(strc,"age")==0) { /* Vn*age */
             cptcovprod--;
             cutv(strb,stre,strd,'V');
             Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/
             cptcovage++;
               Tage[cptcovage]=i;
               /*printf("stre=%s ", stre);*/
           }
           else if (strcmp(strd,"age")==0) { /* or age*Vn */
             cptcovprod--;
             cutv(strb,stre,strc,'V');
             Tvar[i]=atoi(stre);
             cptcovage++;
             Tage[cptcovage]=i;
           }
           else {  /* Age is not in the model */
             cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/
             Tvar[i]=ncovcol+k1;
             cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
             Tprod[k1]=i;
             Tvard[k1][1]=atoi(strc); /* m*/
             Tvard[k1][2]=atoi(stre); /* n */
             Tvar[cptcovn+k2]=Tvard[k1][1];
             Tvar[cptcovn+k2+1]=Tvard[k1][2]; 
             for (k=1; k<=lastobs;k++) 
               covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];
             k1++;
             k2=k2+2;
           }
         }
         else { /* no more sum */
           /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
          /*  scanf("%d",i);*/
         cutv(strd,strc,strb,'V');
         Tvar[i]=atoi(strc);
         }
         strcpy(modelsav,stra);  
         /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
           scanf("%d",i);*/
       } /* end of loop + */
     } /* end model */
     
     /*The number n of Vn is stored in Tvar. cptcovage =number of age covariate. Tage gives the position of age. cptcovprod= number of products.
       If model=V1+V1*age then Tvar[1]=1 Tvar[2]=1 cptcovage=1 Tage[1]=2 cptcovprod=0*/
   
     /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
     printf("cptcovprod=%d ", cptcovprod);
     fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
   
     scanf("%d ",i);
     fclose(fic);*/
   
       /*  if(mle==1){*/
     if (weightopt != 1) { /* Maximisation without weights*/
       for(i=1;i<=n;i++) weight[i]=1.0;
     }
       /*-calculation of age at interview from date of interview and age at death -*/
     agev=matrix(1,maxwav,1,imx);
   
     for (i=1; i<=imx; i++) {
       for(m=2; (m<= maxwav); m++) {
         if (((int)mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]==9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           fprintf(ficlog,"Error! Date of death (month %2d and year %4d) of individual %ld on line %d was unknown, you must set an arbitrary year of death or he/she is skipped and results are biased\n",(int)moisdc[i],(int)andc[i],num[i],i);
           s[m][i]=-1;
         }
         if((int)moisdc[i]==99 && (int)andc[i]!=9999 && s[m][i]>nlstate){
           nberr++;
           printf("Error! Month of death of individual %ld on line %d was unknown %2d, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,(int)moisdc[i]); 
           fprintf(ficlog,"Error! Month of death of individual %ld on line %d was unknown %f, you should set it otherwise the information on the death is skipped and results are biased.\n",num[i],i,moisdc[i]); 
           s[m][i]=-1; /* We prefer to skip it (and to skip it in version 0.8a1 too */
         }
       }
     }
   
     for (i=1; i<=imx; i++)  {
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
       for(m=firstpass; (m<= lastpass); m++){
         if(s[m][i] >0){
           if (s[m][i] >= nlstate+1) {
             if(agedc[i]>0)
               if((int)moisdc[i]!=99 && (int)andc[i]!=9999)
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               else {
                 if ((int)andc[i]!=9999){
                   nbwarn++;
                   printf("Warning negative age at death: %ld line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %ld line:%d\n",num[i],i);
                   agev[m][i]=-1;
                 }
               }
           }
           else if(s[m][i] !=9){ /* Standard case, age in fractional
                                    years but with the precision of a
                                    month */
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
             if((int)mint[m][i]==99 || (int)anint[m][i]==9999)
               agev[m][i]=1;
             else if(agev[m][i] <agemin){ 
               agemin=agev[m][i];
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/
             }
             else if(agev[m][i] >agemax){
               agemax=agev[m][i];
               /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/
             }
             /*agev[m][i]=anint[m][i]-annais[i];*/
             /*     agev[m][i] = age[i]+2*m;*/
           }
           else { /* =9 */
             agev[m][i]=1;
             s[m][i]=-1;
           }
         }
         else /*= 0 Unknown */
           agev[m][i]=1;
       }
       
     }
     for (i=1; i<=imx; i++)  {
       for(m=firstpass; (m<=lastpass); m++){
         if (s[m][i] > (nlstate+ndeath)) {
           nberr++;
           printf("Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           fprintf(ficlog,"Error: on wave %d of individual %d status %d > (nlstate+ndeath)=(%d+%d)=%d\n",m,i,s[m][i],nlstate, ndeath, nlstate+ndeath);     
           goto end;
         }
       }
     }
   
     /*for (i=1; i<=imx; i++){
     for (m=firstpass; (m<lastpass); m++){
        printf("%ld %d %.lf %d %d\n", num[i],(covar[1][i]),agev[m][i],s[m][i],s[m+1][i]);
   }
   
   }*/
   
     printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);
     fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); 
   
     free_vector(severity,1,maxwav);
     free_imatrix(outcome,1,maxwav+1,1,n);
     free_vector(moisnais,1,n);
     free_vector(annais,1,n);
     /* free_matrix(mint,1,maxwav,1,n);
        free_matrix(anint,1,maxwav,1,n);*/
     free_vector(moisdc,1,n);
     free_vector(andc,1,n);
   
      
     wav=ivector(1,imx);
     dh=imatrix(1,lastpass-firstpass+1,1,imx);
     bh=imatrix(1,lastpass-firstpass+1,1,imx);
     mw=imatrix(1,lastpass-firstpass+1,1,imx);
      
     /* Concatenates waves */
     concatwav(wav, dh, bh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
   
     /* Routine tricode is to calculate cptcoveff (real number of unique covariates) and to associate covariable number and modality */
   
     Tcode=ivector(1,100);
     nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
     ncodemax[1]=1;
     if (cptcovn > 0) tricode(Tvar,nbcode,imx);
         
     codtab=imatrix(1,100,1,10); /* Cross tabulation to get the order of 
                                    the estimations*/
     h=0;
     m=pow(2,cptcoveff);
    
     for(k=1;k<=cptcoveff; k++){
       for(i=1; i <=(m/pow(2,k));i++){
         for(j=1; j <= ncodemax[k]; j++){
           for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){
             h++;
             if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;
             /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/
           } 
         }
       }
     } 
     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
        codtab[1][2]=1;codtab[2][2]=2; */
     /* for(i=1; i <=m ;i++){ 
        for(k=1; k <=cptcovn; k++){
        printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);
        }
        printf("\n");
        }
        scanf("%d",i);*/
       
     /*------------ gnuplot -------------*/
     strcpy(optionfilegnuplot,optionfilefiname);
     strcat(optionfilegnuplot,".gp");
     if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
       printf("Problem with file %s",optionfilegnuplot);
     }
     else{
       fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
       fprintf(ficgp,"set missing 'NaNq'\n");
     }
     /*  fclose(ficgp);*/
     /*--------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfilefiname); /* Main html file */
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm), exit(0);
     }
   
     strcpy(optionfilehtmcov,optionfilefiname); /* Only for matrix of covariance */
     strcat(optionfilehtmcov,"-cov.htm");
     if((fichtmcov=fopen(optionfilehtmcov,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtmcov), exit(0);
     }
     else{
     fprintf(fichtmcov,"<body>\n<title>IMaCh Cov %s</title>\n <font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model);
     }
   
     fprintf(fichtm,"<body>\n<title>IMaCh %s</title>\n <font size=\"2\">%s <br> %s</font> \
   <hr size=\"2\" color=\"#EC5E5E\"> \n\
   Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n\
   \n\
   <hr  size=\"2\" color=\"#EC5E5E\">\
    <ul><li><h4>Parameter files</h4>\n\
    - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n\
    - Log file of the run: <a href=\"%s\">%s</a><br>\n\
    - Gnuplot file name: <a href=\"%s\">%s</a><br>\n\
    - Date and time at start: %s</ul>\n",\
             fileres,version,fullversion,title,datafile,firstpass,lastpass,stepm, weightopt, model,\
             fileres,fileres,\
             filelog,filelog,optionfilegnuplot,optionfilegnuplot,strstart);
     fflush(fichtm);
   
     strcpy(pathr,path);
     strcat(pathr,optionfilefiname);
     chdir(optionfilefiname); /* Move to directory named optionfile */
     strcpy(lfileres,fileres);
     strcat(lfileres,"/");
     strcat(lfileres,optionfilefiname);
     
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);
   
     fprintf(fichtm,"\n");
     fprintf(fichtm,"<br>Total number of observations=%d <br>\n\
   Youngest age at first (selected) pass %.2f, oldest age %.2f<br>\n\
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n",\
             imx,agemin,agemax,jmin,jmax,jmean);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
       oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
       
      
     /* For Powell, parameters are in a vector p[] starting at p[1]
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */
   
     globpr=0; /* To get the number ipmx of contributions and the sum of weights*/
     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
     printf("First Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
     for (k=1; k<=npar;k++)
       printf(" %d %8.5f",k,p[k]);
     printf("\n");
     globpr=1; /* to print the contributions */
     likelione(ficres, p, npar, nlstate, &globpr, &ipmx, &sw, &fretone, funcone); /* Prints the contributions to the likelihood */
     printf("Second Likeli=%12.6f ipmx=%ld sw=%12.6f",fretone,ipmx,sw);
     for (k=1; k<=npar;k++)
       printf(" %d %8.5f",k,p[k]);
     printf("\n");
     if(mle>=1){ /* Could be 1 or 2 */
       mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
     }
       
     /*--------- results files --------------*/
     fprintf(ficres,"title=%s datafile=%s lastobs=%d firstpass=%d lastpass=%d\nftol=%e stepm=%d ncovcol=%d nlstate=%d ndeath=%d maxwav=%d mle= 0 weight=%d\nmodel=%s\n", title, datafile, lastobs, firstpass,lastpass,ftol, stepm, ncovcol, nlstate, ndeath, maxwav, weightopt,model);
     
   
     jk=1;
     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
     for(i=1,jk=1; i <=nlstate; i++){
       for(k=1; k <=(nlstate+ndeath); k++){
         if (k != i) 
           {
             printf("%d%d ",i,k);
             fprintf(ficlog,"%d%d ",i,k);
             fprintf(ficres,"%1d%1d ",i,k);
             for(j=1; j <=ncovmodel; j++){
               printf("%f ",p[jk]);
               fprintf(ficlog,"%f ",p[jk]);
               fprintf(ficres,"%f ",p[jk]);
               jk++; 
             }
             printf("\n");
             fprintf(ficlog,"\n");
             fprintf(ficres,"\n");
           }
       }
     }
     if(mle!=0){
       /* Computing hessian and covariance matrix */
       ftolhess=ftol; /* Usually correct */
       hesscov(matcov, p, npar, delti, ftolhess, func);
     }
     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
     printf("# Scales (for hessian or gradient estimation)\n");
     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
     for(i=1,jk=1; i <=nlstate; i++){
       for(j=1; j <=nlstate+ndeath; j++){
         if (j!=i) {
           fprintf(ficres,"%1d%1d",i,j);
           printf("%1d%1d",i,j);
           fprintf(ficlog,"%1d%1d",i,j);
           for(k=1; k<=ncovmodel;k++){
             printf(" %.5e",delti[jk]);
             fprintf(ficlog," %.5e",delti[jk]);
             fprintf(ficres," %.5e",delti[jk]);
             jk++;
           }
           printf("\n");
           fprintf(ficlog,"\n");
           fprintf(ficres,"\n");
         }
       }
     }
      
     fprintf(ficres,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     if(mle==1)
       printf("# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     fprintf(ficlog,"# Covariance matrix \n# 121 Var(a12)\n# 122 Cov(b12,a12) Var(b12)\n#   ...\n# 232 Cov(b23,a12)  Cov(b23,b12) ... Var (b23)\n");
     for(i=1,k=1;i<=npar;i++){
       /*  if (k>nlstate) k=1;
           i1=(i-1)/(ncovmodel*nlstate)+1; 
           fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);
           printf("%s%d%d",alph[k],i1,tab[i]);
       */
       fprintf(ficres,"%3d",i);
       if(mle==1)
         printf("%3d",i);
       fprintf(ficlog,"%3d",i);
       for(j=1; j<=i;j++){
         fprintf(ficres," %.5e",matcov[i][j]);
         if(mle==1)
           printf(" %.5e",matcov[i][j]);
         fprintf(ficlog," %.5e",matcov[i][j]);
       }
       fprintf(ficres,"\n");
       if(mle==1)
         printf("\n");
       fprintf(ficlog,"\n");
       k++;
     }
      
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
   
     estepm=0;
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);
     if (estepm==0 || estepm < stepm) estepm=stepm;
     if (fage <= 2) {
       bage = ageminpar;
       fage = agemaxpar;
     }
      
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
     fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);
      
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
     
     fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf mov_average=%d\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2,&mobilav);
     fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
     fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
     printf("begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
     fprintf(ficlog,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf mov_average=%d\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,mobilav);
      
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
    
   
     dateprev1=anprev1+(mprev1-1)/12.+(jprev1-1)/365.;
     dateprev2=anprev2+(mprev2-1)/12.+(jprev2-1)/365.;
   
     fscanf(ficpar,"pop_based=%d\n",&popbased);
     fprintf(ficparo,"pop_based=%d\n",popbased);   
     fprintf(ficres,"pop_based=%d\n",popbased);   
     
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"prevforecast=%d starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mobil_average=%d\n",&prevfcast,&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilavproj);
     fprintf(ficparo,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
     printf("prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
     fprintf(ficlog,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
     fprintf(ficres,"prevforecast=%d starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mobil_average=%d\n",prevfcast,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilavproj);
     /* day and month of proj2 are not used but only year anproj2.*/
   
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
   
     fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);
     fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);
     fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);
   
     /*  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint);*/
     /*,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);*/
   
     replace_back_to_slash(pathc,path); /* Even gnuplot wants a / */
     printinggnuplot(fileres, optionfilefiname,ageminpar,agemaxpar,fage, pathc,p);
   
     printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,\
                  model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,\
                  jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
    
     /*------------ free_vector  -------------*/
     /*  chdir(path); */
    
     free_ivector(wav,1,imx);
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
     free_imatrix(bh,1,lastpass-firstpass+1,1,imx);
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
     free_lvector(num,1,n);
     free_vector(agedc,1,n);
     /*free_matrix(covar,0,NCOVMAX,1,n);*/
     /*free_matrix(covar,1,NCOVMAX,1,n);*/
     fclose(ficparo);
     fclose(ficres);
   
   
     /*--------------- Prevalence limit  (stable prevalence) --------------*/
     
     strcpy(filerespl,"pl");
     strcat(filerespl,fileres);
     if((ficrespl=fopen(filerespl,"w"))==NULL) {
       printf("Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
       fprintf(ficlog,"Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
     }
     printf("Computing stable prevalence: result on file '%s' \n", filerespl);
     fprintf(ficlog,"Computing stable prevalence: result on file '%s' \n", filerespl);
     fprintf(ficrespl,"#Stable prevalence \n");
     fprintf(ficrespl,"#Age ");
     for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
     fprintf(ficrespl,"\n");
     
     prlim=matrix(1,nlstate,1,nlstate);
   
     agebase=ageminpar;
     agelim=agemaxpar;
     ftolpl=1.e-10;
     i1=cptcoveff;
     if (cptcovn < 1){i1=1;}
   
     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
         k=k+1;
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/
         fprintf(ficrespl,"\n#******");
         printf("\n#******");
         fprintf(ficlog,"\n#******");
         for(j=1;j<=cptcoveff;j++) {
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
         fprintf(ficrespl,"******\n");
         printf("******\n");
         fprintf(ficlog,"******\n");
           
         for (age=agebase; age<=agelim; age++){
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
           fprintf(ficrespl,"%.0f ",age );
           for(j=1;j<=cptcoveff;j++)
             fprintf(ficrespl,"%d %d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           for(i=1; i<=nlstate;i++)
             fprintf(ficrespl," %.5f", prlim[i][i]);
           fprintf(ficrespl,"\n");
         }
       }
     }
     fclose(ficrespl);
   
     /*------------- h Pij x at various ages ------------*/
     
     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
     if((ficrespij=fopen(filerespij,"w"))==NULL) {
       printf("Problem with Pij resultfile: %s\n", filerespij);goto end;
       fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;
     }
     printf("Computing pij: result on file '%s' \n", filerespij);
     fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     
     stepsize=(int) (stepm+YEARM-1)/YEARM;
     /*if (stepm<=24) stepsize=2;*/
   
     agelim=AGESUP;
     hstepm=stepsize*YEARM; /* Every year of age */
     hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
   
     /* hstepm=1;   aff par mois*/
   
     fprintf(ficrespij,"#****** h Pij x Probability to be in state j at age x+h being in i at x ");
     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
         k=k+1;
         fprintf(ficrespij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficrespij,"******\n");
           
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
   
           /*        nhstepm=nhstepm*YEARM; aff par mois*/
   
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           oldm=oldms;savm=savms;
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
           fprintf(ficrespij,"# Cov Agex agex+h hpijx with i,j=");
           for(i=1; i<=nlstate;i++)
             for(j=1; j<=nlstate+ndeath;j++)
               fprintf(ficrespij," %1d-%1d",i,j);
           fprintf(ficrespij,"\n");
           for (h=0; h<=nhstepm; h++){
             fprintf(ficrespij,"%d %3.f %3.f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );
             for(i=1; i<=nlstate;i++)
               for(j=1; j<=nlstate+ndeath;j++)
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);
             fprintf(ficrespij,"\n");
           }
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           fprintf(ficrespij,"\n");
         }
       }
     }
   
     varprob(optionfilefiname, matcov, p, delti, nlstate, bage, fage,k,Tvar,nbcode, ncodemax);
   
     fclose(ficrespij);
   
     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     /*---------- Forecasting ------------------*/
     /*if((stepm == 1) && (strcmp(model,".")==0)){*/
     if(prevfcast==1){
       /*    if(stepm ==1){*/
         prevforecast(fileres, anproj1, mproj1, jproj1, agemin, agemax, dateprev1, dateprev2, mobilavproj, bage, fage, firstpass, lastpass, anproj2, p, cptcoveff);
         /* (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);*/
   /*      }  */
   /*      else{ */
   /*        erreur=108; */
   /*        printf("Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
   /*        fprintf(ficlog,"Warning %d!! You can only forecast the prevalences if the optimization\n  has been performed with stepm = 1 (month) instead of %d or model=. instead of '%s'\n", erreur, stepm, model); */
   /*      } */
     }
     
   
     /*---------- Health expectancies and variances ------------*/
   
     strcpy(filerest,"t");
     strcat(filerest,fileres);
     if((ficrest=fopen(filerest,"w"))==NULL) {
       printf("Problem with total LE resultfile: %s\n", filerest);goto end;
       fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;
     }
     printf("Computing Total LEs with variances: file '%s' \n", filerest); 
     fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest); 
   
   
     strcpy(filerese,"e");
     strcat(filerese,fileres);
     if((ficreseij=fopen(filerese,"w"))==NULL) {
       printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
       fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
     }
     printf("Computing Health Expectancies: result on file '%s' \n", filerese);
     fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
   
     strcpy(fileresv,"v");
     strcat(fileresv,fileres);
     if((ficresvij=fopen(fileresv,"w"))==NULL) {
       printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
       fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
     }
     printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
     fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
   
     /* Computes prevalence between agemin (i.e minimal age computed) and no more ageminpar */
     prevalence(probs, agemin, agemax, s, agev, nlstate, imx, Tvar, nbcode, ncodemax, mint, anint, dateprev1, dateprev2, firstpass, lastpass);
     /*  printf("ageminpar=%f, agemax=%f, s[lastpass][imx]=%d, agev[lastpass][imx]=%f, nlstate=%d, imx=%d,  mint[lastpass][imx]=%f, anint[lastpass][imx]=%f,dateprev1=%f, dateprev2=%f, firstpass=%d, lastpass=%d\n",\
   ageminpar, agemax, s[lastpass][imx], agev[lastpass][imx], nlstate, imx, mint[lastpass][imx],anint[lastpass][imx], dateprev1, dateprev2, firstpass, lastpass);
     */
   
     if (mobilav!=0) {
       mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
       if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
         printf(" Error in movingaverage mobilav=%d\n",mobilav);
       }
     }
   
     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
         k=k+1; 
         fprintf(ficrest,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficrest,"******\n");
   
         fprintf(ficreseij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficreseij,"******\n");
   
         fprintf(ficresvij,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficresvij,"******\n");
   
         eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
         evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);  
    
         vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
         varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0, mobilav);
         if(popbased==1){
           varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased,mobilav);
         }
   
    
         fprintf(ficrest,"#Total LEs with variances: e.. (std) ");
         for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
         fprintf(ficrest,"\n");
   
         epj=vector(1,nlstate+1);
         for(age=bage; age <=fage ;age++){
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
           if (popbased==1) {
             if(mobilav ==0){
               for(i=1; i<=nlstate;i++)
                 prlim[i][i]=probs[(int)age][i][k];
             }else{ /* mobilav */ 
               for(i=1; i<=nlstate;i++)
                 prlim[i][i]=mobaverage[(int)age][i][k];
             }
           }
           
           fprintf(ficrest," %4.0f",age);
           for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
             for(i=1, epj[j]=0.;i <=nlstate;i++) {
               epj[j] += prlim[i][i]*eij[i][j][(int)age];
               /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
             }
             epj[nlstate+1] +=epj[j];
           }
   
           for(i=1, vepp=0.;i <=nlstate;i++)
             for(j=1;j <=nlstate;j++)
               vepp += vareij[i][j][(int)age];
           fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
           for(j=1;j <=nlstate;j++){
             fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
           }
           fprintf(ficrest,"\n");
         }
         free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
         free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
         free_vector(epj,1,nlstate+1);
       }
     }
     free_vector(weight,1,n);
     free_imatrix(Tvard,1,15,1,2);
     free_imatrix(s,1,maxwav+1,1,n);
     free_matrix(anint,1,maxwav,1,n); 
     free_matrix(mint,1,maxwav,1,n);
     free_ivector(cod,1,n);
     free_ivector(tab,1,NCOVMAX);
     fclose(ficreseij);
     fclose(ficresvij);
     fclose(ficrest);
     fclose(ficpar);
     
     /*------- Variance of stable prevalence------*/   
   
     strcpy(fileresvpl,"vpl");
     strcat(fileresvpl,fileres);
     if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
       printf("Problem with variance of stable prevalence  resultfile: %s\n", fileresvpl);
       exit(0);
     }
     printf("Computing Variance-covariance of stable prevalence: file '%s' \n", fileresvpl);
   
     for(cptcov=1,k=0;cptcov<=i1;cptcov++){
       for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
         k=k+1;
         fprintf(ficresvpl,"\n#****** ");
         for(j=1;j<=cptcoveff;j++) 
           fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficresvpl,"******\n");
         
         varpl=matrix(1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
         varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);
         free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
       }
     }
   
     fclose(ficresvpl);
   
     /*---------- End : free ----------------*/
     free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);
     free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);
     
     free_matrix(covar,0,NCOVMAX,1,n);
     free_matrix(matcov,1,npar,1,npar);
     /*free_vector(delti,1,npar);*/
     free_ma3x(delti3,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel); 
     free_matrix(agev,1,maxwav,1,imx);
     free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     free_ma3x(probs,1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
   
     free_ivector(ncodemax,1,8);
     free_ivector(Tvar,1,15);
     free_ivector(Tprod,1,15);
     free_ivector(Tvaraff,1,15);
     free_ivector(Tage,1,15);
     free_ivector(Tcode,1,100);
   
     fflush(fichtm);
     fflush(ficgp);
     
   
     if((nberr >0) || (nbwarn>0)){
       printf("End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
       fprintf(ficlog,"End of Imach with %d errors and/or warnings %d\n",nberr,nbwarn);
     }else{
       printf("End of Imach\n");
       fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     (void) gettimeofday(&end_time,&tzp);
     tm = *localtime(&end_time.tv_sec);
     tmg = *gmtime(&end_time.tv_sec);
     strcpy(strtend,asctime(&tm));
     printf("Localtime at start %s\nLocaltime at end   %s",strstart, strtend); 
     fprintf(ficlog,"Localtime at start %s\nLocal time at end   %s\n",strstart, strtend); 
     printf("Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
   
     printf("Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     fprintf(ficlog,"Total time used %s\n", asc_diff_time(end_time.tv_sec -start_time.tv_sec,tmpout));
     fprintf(ficlog,"Total time was %d Sec.\n", end_time.tv_sec -start_time.tv_sec);
     /*  printf("Total time was %d uSec.\n", total_usecs);*/
   /*   if(fileappend(fichtm,optionfilehtm)){ */
     fprintf(fichtm,"<br>Local time at start %s<br>Local time at end   %s<br>",strstart, strtend);
     fclose(fichtm);
     fclose(fichtmcov);
     fclose(ficgp);
     fclose(ficlog);
     /*------ End -----------*/
   
     chdir(path);
     strcpy(plotcmd,GNUPLOTPROGRAM);
     strcat(plotcmd," ");
     strcat(plotcmd,optionfilegnuplot);
     printf("Starting graphs with: %s",plotcmd);fflush(stdout);
     if((outcmd=system(plotcmd)) != 0){
       printf(" Problem with gnuplot\n");
     }
     printf(" Wait...");
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit output files, g to graph again and q for exiting: ");
       scanf("%s",z);
   /*     if (z[0] == 'c') system("./imach"); */
       if (z[0] == 'e') system(optionfilehtm);
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     end:
     while (z[0] != 'q') {
       printf("\nType  q for exiting: ");
       scanf("%s",z);
     }
   }
   
   
   

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  Added in v.1.91


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