Diff for /imach/src/imach.c between versions 1.17 and 1.74

version 1.17, 2002/02/20 17:15:02 version 1.74, 2003/05/02 18:51:41
Line 1 Line 1
      /* $Id$
 /*********************** Imach **************************************             Interpolated Markov Chain
   This program computes Healthy Life Expectancies from cross-longitudinal  
   data. Cross-longitudinal consist in a first survey ("cross") where    Short summary of the programme:
   individuals from different ages are interviewed on their health status    
   or degree of  disability. At least a second wave of interviews    This program computes Healthy Life Expectancies from
   ("longitudinal") should  measure each new individual health status.    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
   Health expectancies are computed from the transistions observed between    first survey ("cross") where individuals from different ages are
   waves and are computed for each degree of severity of disability (number    interviewed on their health status or degree of disability (in the
   of life states). More degrees you consider, more time is necessary to    case of a health survey which is our main interest) -2- at least a
   reach the Maximum Likelihood of the parameters involved in the model.    second wave of interviews ("longitudinal") which measure each change
   The simplest model is the multinomial logistic model where pij is    (if any) in individual health status.  Health expectancies are
   the probabibility to be observed in state j at the second wave conditional    computed from the time spent in each health state according to a
   to be observed in state i at the first wave. Therefore the model is:    model. More health states you consider, more time is necessary to reach the
   log(pij/pii)= aij + bij*age+ cij*sex + etc , where 'age' is age and 'sex'    Maximum Likelihood of the parameters involved in the model.  The
   is a covariate. If you want to have a more complex model than "constant and    simplest model is the multinomial logistic model where pij is the
   age", you should modify the program where the markup    probability to be observed in state j at the second wave
     *Covariates have to be included here again* invites you to do it.    conditional to be observed in state i at the first wave. Therefore
   More covariates you add, less is the speed of the convergence.    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
   The advantage that this computer programme claims, comes from that if the    complex model than "constant and age", you should modify the program
   delay between waves is not identical for each individual, or if some    where the markup *Covariates have to be included here again* invites
   individual missed an interview, the information is not rounded or lost, but    you to do it.  More covariates you add, slower the
   taken into account using an interpolation or extrapolation.    convergence.
   hPijx is the probability to be  
   observed in state i at age x+h conditional to the observed state i at age    The advantage of this computer programme, compared to a simple
   x. The delay 'h' can be split into an exact number (nh*stepm) of    multinomial logistic model, is clear when the delay between waves is not
   unobserved intermediate  states. This elementary transition (by month or    identical for each individual. Also, if a individual missed an
   quarter trimester, semester or year) is model as a multinomial logistic.    intermediate interview, the information is lost, but taken into
   The hPx matrix is simply the matrix product of nh*stepm elementary matrices    account using an interpolation or extrapolation.  
   and the contribution of each individual to the likelihood is simply hPijx.  
     hPijx is the probability to be observed in state i at age x+h
   Also this programme outputs the covariance matrix of the parameters but also    conditional to the observed state i at age x. The delay 'h' can be
   of the life expectancies. It also computes the prevalence limits.    split into an exact number (nh*stepm) of unobserved intermediate
      states. This elementary transition (by month, quarter,
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    semester or year) is modelled as a multinomial logistic.  The hPx
            Institut national d'études démographiques, Paris.    matrix is simply the matrix product of nh*stepm elementary matrices
   This software have been partly granted by Euro-REVES, a concerted action    and the contribution of each individual to the likelihood is simply
   from the European Union.    hPijx.
   It is copyrighted identically to a GNU software product, ie programme and  
   software can be distributed freely for non commercial use. Latest version    Also this programme outputs the covariance matrix of the parameters but also
   can be accessed at http://euroreves.ined.fr/imach .    of the life expectancies. It also computes the stable prevalence. 
   **********************************************************************/    
      Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
 #include <math.h>             Institut national d'études démographiques, Paris.
 #include <stdio.h>    This software have been partly granted by Euro-REVES, a concerted action
 #include <stdlib.h>    from the European Union.
 #include <unistd.h>    It is copyrighted identically to a GNU software product, ie programme and
     software can be distributed freely for non commercial use. Latest version
 #define MAXLINE 256    can be accessed at http://euroreves.ined.fr/imach .
 #define FILENAMELENGTH 80  
 /*#define DEBUG*/    Help to debug: LD_PRELOAD=/usr/local/lib/libnjamd.so ./imach foo.imach
 #define windows    or better on gdb : set env LD_PRELOAD=/usr/local/lib/libnjamd.so
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */    
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */    **********************************************************************/
   /*
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */    main
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */    read parameterfile
     read datafile
 #define NINTERVMAX 8    concatwav
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */    if (mle >= 1)
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */      mlikeli
 #define NCOVMAX 8 /* Maximum number of covariates */    print results files
 #define MAXN 20000    if mle==1 
 #define YEARM 12. /* Number of months per year */       computes hessian
 #define AGESUP 130    read end of parameter file: agemin, agemax, bage, fage, estepm
 #define AGEBASE 40        begin-prev-date,...
     open gnuplot file
     open html file
 int nvar;    stable prevalence
 int cptcovn, cptcovage=0, cptcoveff=0,cptcov;     for age prevalim()
 int npar=NPARMAX;    h Pij x
 int nlstate=2; /* Number of live states */    variance of p varprob
 int ndeath=1; /* Number of dead states */    forecasting if prevfcast==1 prevforecast call prevalence()
 int ncovmodel, ncov;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */    health expectancies
 int popbased=0;    Variance-covariance of DFLE
     prevalence()
 int *wav; /* Number of waves for this individuual 0 is possible */     movingaverage()
 int maxwav; /* Maxim number of waves */    varevsij() 
 int jmin, jmax; /* min, max spacing between 2 waves */    if popbased==1 varevsij(,popbased)
 int mle, weightopt;    total life expectancies
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */    Variance of stable prevalence
 int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */   end
 double jmean; /* Mean space between 2 waves */  */
 double **oldm, **newm, **savm; /* Working pointers to matrices */  
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf;  
 FILE *ficgp, *fichtm,*ficresprob,*ficpop;   
 FILE *ficreseij;  #include <math.h>
   char filerese[FILENAMELENGTH];  #include <stdio.h>
  FILE  *ficresvij;  #include <stdlib.h>
   char fileresv[FILENAMELENGTH];  #include <unistd.h>
  FILE  *ficresvpl;  
   char fileresvpl[FILENAMELENGTH];  #define MAXLINE 256
   #define GNUPLOTPROGRAM "gnuplot"
 #define NR_END 1  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 #define FREE_ARG char*  #define FILENAMELENGTH 80
 #define FTOL 1.0e-10  /*#define DEBUG*/
   #define windows
 #define NRANSI  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 #define ITMAX 200  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   
 #define TOL 2.0e-4  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
   #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
 #define CGOLD 0.3819660  
 #define ZEPS 1.0e-10  #define NINTERVMAX 8
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
   #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
 #define GOLD 1.618034  #define NCOVMAX 8 /* Maximum number of covariates */
 #define GLIMIT 100.0  #define MAXN 20000
 #define TINY 1.0e-20  #define YEARM 12. /* Number of months per year */
   #define AGESUP 130
 static double maxarg1,maxarg2;  #define AGEBASE 40
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))  #ifdef windows
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))  #define DIRSEPARATOR '\\'
    #define ODIRSEPARATOR '/'
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  #else
 #define rint(a) floor(a+0.5)  #define DIRSEPARATOR '/'
   #define ODIRSEPARATOR '\\'
 static double sqrarg;  #endif
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  char version[80]="Imach version 0.95, February 2003, INED-EUROREVES ";
   int erreur; /* Error number */
 int imx;  int nvar;
 int stepm;  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
 /* Stepm, step in month: minimum step interpolation*/  int npar=NPARMAX;
   int nlstate=2; /* Number of live states */
 int m,nb;  int ndeath=1; /* Number of dead states */
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  int popbased=0;
 double **pmmij, ***probs, ***mobaverage;  
   int *wav; /* Number of waves for this individuual 0 is possible */
 double *weight;  int maxwav; /* Maxim number of waves */
 int **s; /* Status */  int jmin, jmax; /* min, max spacing between 2 waves */
 double *agedc, **covar, idx;  int mle, weightopt;
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;  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 */
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */  int **bh; /* bh[mi][i] is the bias (+ or -) for this individual if the delay between
 double ftolhess; /* Tolerance for computing hessian */             * wave mi and wave mi+1 is not an exact multiple of stepm. */
   double jmean; /* Mean space between 2 waves */
 /**************** split *************************/  double **oldm, **newm, **savm; /* Working pointers to matrices */
 static  int split( char *path, char *dirc, char *name )  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
 {  FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
    char *s;                             /* pointer */  FILE *ficlog;
    int  l1, l2;                         /* length counters */  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
   FILE *ficresprobmorprev;
    l1 = strlen( path );                 /* length of path */  FILE *fichtm; /* Html File */
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );  FILE *ficreseij;
    s = strrchr( path, '\\' );           /* find last / */  char filerese[FILENAMELENGTH];
    if ( s == NULL ) {                   /* no directory, so use current */  FILE  *ficresvij;
 #if     defined(__bsd__)                /* get current working directory */  char fileresv[FILENAMELENGTH];
       extern char       *getwd( );  FILE  *ficresvpl;
   char fileresvpl[FILENAMELENGTH];
       if ( getwd( dirc ) == NULL ) {  char title[MAXLINE];
 #else  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
       extern char       *getcwd( );  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
   
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
 #endif  char filelog[FILENAMELENGTH]; /* Log file */
          return( GLOCK_ERROR_GETCWD );  char filerest[FILENAMELENGTH];
       }  char fileregp[FILENAMELENGTH];
       strcpy( name, path );             /* we've got it */  char popfile[FILENAMELENGTH];
    } else {                             /* strip direcotry from path */  
       s++;                              /* after this, the filename */  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];
       l2 = strlen( s );                 /* length of filename */  
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );  #define NR_END 1
       strcpy( name, s );                /* save file name */  #define FREE_ARG char*
       strncpy( dirc, path, l1 - l2 );   /* now the directory */  #define FTOL 1.0e-10
       dirc[l1-l2] = 0;                  /* add zero */  
    }  #define NRANSI 
    l1 = strlen( dirc );                 /* length of directory */  #define ITMAX 200 
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }  
    return( 0 );                         /* we're done */  #define TOL 2.0e-4 
 }  
   #define CGOLD 0.3819660 
   #define ZEPS 1.0e-10 
 /******************************************/  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   
 void replace(char *s, char*t)  #define GOLD 1.618034 
 {  #define GLIMIT 100.0 
   int i;  #define TINY 1.0e-20 
   int lg=20;  
   i=0;  static double maxarg1,maxarg2;
   lg=strlen(t);  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
   for(i=0; i<= lg; i++) {  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
     (s[i] = t[i]);    
     if (t[i]== '\\') s[i]='/';  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
   }  #define rint(a) floor(a+0.5)
 }  
   static double sqrarg;
 int nbocc(char *s, char occ)  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
 {  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   int i,j=0;  
   int lg=20;  int imx; 
   i=0;  int stepm;
   lg=strlen(s);  /* Stepm, step in month: minimum step interpolation*/
   for(i=0; i<= lg; i++) {  
   if  (s[i] == occ ) j++;  int estepm;
   }  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   return j;  
 }  int m,nb;
   int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;
 void cutv(char *u,char *v, char*t, char occ)  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
 {  double **pmmij, ***probs;
   int i,lg,j,p=0;  double dateintmean=0;
   i=0;  
   for(j=0; j<=strlen(t)-1; j++) {  double *weight;
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;  int **s; /* Status */
   }  double *agedc, **covar, idx;
   int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
   lg=strlen(t);  
   for(j=0; j<p; j++) {  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
     (u[j] = t[j]);  double ftolhess; /* Tolerance for computing hessian */
   }  
      u[p]='\0';  /**************** split *************************/
   static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
    for(j=0; j<= lg; j++) {  {
     if (j>=(p+1))(v[j-p-1] = t[j]);    char  *ss;                            /* pointer */
   }    int   l1, l2;                         /* length counters */
 }  
     l1 = strlen(path );                   /* length of path */
 /********************** nrerror ********************/    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
     ss= strrchr( path, DIRSEPARATOR );            /* find last / */
 void nrerror(char error_text[])    if ( ss == NULL ) {                   /* no directory, so use current */
 {      /*if(strrchr(path, ODIRSEPARATOR )==NULL)
   fprintf(stderr,"ERREUR ...\n");        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
   fprintf(stderr,"%s\n",error_text);      /* get current working directory */
   exit(1);      /*    extern  char* getcwd ( char *buf , int len);*/
 }      if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
 /*********************** vector *******************/        return( GLOCK_ERROR_GETCWD );
 double *vector(int nl, int nh)      }
 {      strcpy( name, path );               /* we've got it */
   double *v;    } else {                              /* strip direcotry from path */
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));      ss++;                               /* after this, the filename */
   if (!v) nrerror("allocation failure in vector");      l2 = strlen( ss );                  /* length of filename */
   return v-nl+NR_END;      if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
 }      strcpy( name, ss );         /* save file name */
       strncpy( dirc, path, l1 - l2 );     /* now the directory */
 /************************ free vector ******************/      dirc[l1-l2] = 0;                    /* add zero */
 void free_vector(double*v, int nl, int nh)    }
 {    l1 = strlen( dirc );                  /* length of directory */
   free((FREE_ARG)(v+nl-NR_END));  #ifdef windows
 }    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
   #else
 /************************ivector *******************************/    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
 int *ivector(long nl,long nh)  #endif
 {    ss = strrchr( name, '.' );            /* find last / */
   int *v;    ss++;
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    strcpy(ext,ss);                       /* save extension */
   if (!v) nrerror("allocation failure in ivector");    l1= strlen( name);
   return v-nl+NR_END;    l2= strlen(ss)+1;
 }    strncpy( finame, name, l1-l2);
     finame[l1-l2]= 0;
 /******************free ivector **************************/    return( 0 );                          /* we're done */
 void free_ivector(int *v, long nl, long nh)  }
 {  
   free((FREE_ARG)(v+nl-NR_END));  
 }  /******************************************/
   
 /******************* imatrix *******************************/  void replace(char *s, char*t)
 int **imatrix(long nrl, long nrh, long ncl, long nch)  {
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */    int i;
 {    int lg=20;
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    i=0;
   int **m;    lg=strlen(t);
      for(i=0; i<= lg; i++) {
   /* allocate pointers to rows */      (s[i] = t[i]);
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));      if (t[i]== '\\') s[i]='/';
   if (!m) nrerror("allocation failure 1 in matrix()");    }
   m += NR_END;  }
   m -= nrl;  
    int nbocc(char *s, char occ)
    {
   /* allocate rows and set pointers to them */    int i,j=0;
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    int lg=20;
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    i=0;
   m[nrl] += NR_END;    lg=strlen(s);
   m[nrl] -= ncl;    for(i=0; i<= lg; i++) {
      if  (s[i] == occ ) j++;
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    }
      return j;
   /* return pointer to array of pointers to rows */  }
   return m;  
 }  void cutv(char *u,char *v, char*t, char occ)
   {
 /****************** free_imatrix *************************/    /* cuts string t into u and v where u is ended by char occ excluding it
 void free_imatrix(m,nrl,nrh,ncl,nch)       and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)
       int **m;       gives u="abcedf" and v="ghi2j" */
       long nch,ncl,nrh,nrl;    int i,lg,j,p=0;
      /* free an int matrix allocated by imatrix() */    i=0;
 {    for(j=0; j<=strlen(t)-1; j++) {
   free((FREE_ARG) (m[nrl]+ncl-NR_END));      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
   free((FREE_ARG) (m+nrl-NR_END));    }
 }  
     lg=strlen(t);
 /******************* matrix *******************************/    for(j=0; j<p; j++) {
 double **matrix(long nrl, long nrh, long ncl, long nch)      (u[j] = t[j]);
 {    }
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;       u[p]='\0';
   double **m;  
      for(j=0; j<= lg; j++) {
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));      if (j>=(p+1))(v[j-p-1] = t[j]);
   if (!m) nrerror("allocation failure 1 in matrix()");    }
   m += NR_END;  }
   m -= nrl;  
   /********************** nrerror ********************/
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));  
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");  void nrerror(char error_text[])
   m[nrl] += NR_END;  {
   m[nrl] -= ncl;    fprintf(stderr,"ERREUR ...\n");
     fprintf(stderr,"%s\n",error_text);
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    exit(EXIT_FAILURE);
   return m;  }
 }  /*********************** vector *******************/
   double *vector(int nl, int nh)
 /*************************free matrix ************************/  {
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)    double *v;
 {    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    if (!v) nrerror("allocation failure in vector");
   free((FREE_ARG)(m+nrl-NR_END));    return v-nl+NR_END;
 }  }
   
 /******************* ma3x *******************************/  /************************ free vector ******************/
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  void free_vector(double*v, int nl, int nh)
 {  {
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    free((FREE_ARG)(v+nl-NR_END));
   double ***m;  }
   
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));  /************************ivector *******************************/
   if (!m) nrerror("allocation failure 1 in matrix()");  int *ivector(long nl,long nh)
   m += NR_END;  {
   m -= nrl;    int *v;
     v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    if (!v) nrerror("allocation failure in ivector");
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    return v-nl+NR_END;
   m[nrl] += NR_END;  }
   m[nrl] -= ncl;  
   /******************free ivector **************************/
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;  void free_ivector(int *v, long nl, long nh)
   {
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    free((FREE_ARG)(v+nl-NR_END));
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");  }
   m[nrl][ncl] += NR_END;  
   m[nrl][ncl] -= nll;  /******************* imatrix *******************************/
   for (j=ncl+1; j<=nch; j++)  int **imatrix(long nrl, long nrh, long ncl, long nch) 
     m[nrl][j]=m[nrl][j-1]+nlay;       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
    { 
   for (i=nrl+1; i<=nrh; i++) {    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;    int **m; 
     for (j=ncl+1; j<=nch; j++)    
       m[i][j]=m[i][j-1]+nlay;    /* allocate pointers to rows */ 
   }    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
   return m;    if (!m) nrerror("allocation failure 1 in matrix()"); 
 }    m += NR_END; 
     m -= nrl; 
 /*************************free ma3x ************************/    
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)    
 {    /* allocate rows and set pointers to them */ 
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
   free((FREE_ARG)(m+nrl-NR_END));    m[nrl] += NR_END; 
 }    m[nrl] -= ncl; 
     
 /***************** f1dim *************************/    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
 extern int ncom;    
 extern double *pcom,*xicom;    /* return pointer to array of pointers to rows */ 
 extern double (*nrfunc)(double []);    return m; 
    } 
 double f1dim(double x)  
 {  /****************** free_imatrix *************************/
   int j;  void free_imatrix(m,nrl,nrh,ncl,nch)
   double f;        int **m;
   double *xt;        long nch,ncl,nrh,nrl; 
         /* free an int matrix allocated by imatrix() */ 
   xt=vector(1,ncom);  { 
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
   f=(*nrfunc)(xt);    free((FREE_ARG) (m+nrl-NR_END)); 
   free_vector(xt,1,ncom);  } 
   return f;  
 }  /******************* matrix *******************************/
   double **matrix(long nrl, long nrh, long ncl, long nch)
 /*****************brent *************************/  {
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
 {    double **m;
   int iter;  
   double a,b,d,etemp;    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   double fu,fv,fw,fx;    if (!m) nrerror("allocation failure 1 in matrix()");
   double ftemp;    m += NR_END;
   double p,q,r,tol1,tol2,u,v,w,x,xm;    m -= nrl;
   double e=0.0;  
      m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
   a=(ax < cx ? ax : cx);    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   b=(ax > cx ? ax : cx);    m[nrl] += NR_END;
   x=w=v=bx;    m[nrl] -= ncl;
   fw=fv=fx=(*f)(x);  
   for (iter=1;iter<=ITMAX;iter++) {    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
     xm=0.5*(a+b);    return m;
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);    /* print *(*(m+1)+70) ou print m[1][70]; print m+1 or print &(m[1]) 
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/     */
     printf(".");fflush(stdout);  }
 #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);  /*************************free matrix ************************/
     /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
 #endif  {
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){    free((FREE_ARG)(m[nrl]+ncl-NR_END));
       *xmin=x;    free((FREE_ARG)(m+nrl-NR_END));
       return fx;  }
     }  
     ftemp=fu;  /******************* ma3x *******************************/
     if (fabs(e) > tol1) {  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
       r=(x-w)*(fx-fv);  {
       q=(x-v)*(fx-fw);    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
       p=(x-v)*q-(x-w)*r;    double ***m;
       q=2.0*(q-r);  
       if (q > 0.0) p = -p;    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
       q=fabs(q);    if (!m) nrerror("allocation failure 1 in matrix()");
       etemp=e;    m += NR_END;
       e=d;    m -= nrl;
       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));    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
       else {    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
         d=p/q;    m[nrl] += NR_END;
         u=x+d;    m[nrl] -= ncl;
         if (u-a < tol2 || b-u < tol2)  
           d=SIGN(tol1,xm-x);    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
       }  
     } else {    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
       d=CGOLD*(e=(x >= xm ? a-x : b-x));    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
     }    m[nrl][ncl] += NR_END;
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));    m[nrl][ncl] -= nll;
     fu=(*f)(u);    for (j=ncl+1; j<=nch; j++) 
     if (fu <= fx) {      m[nrl][j]=m[nrl][j-1]+nlay;
       if (u >= x) a=x; else b=x;    
       SHFT(v,w,x,u)    for (i=nrl+1; i<=nrh; i++) {
         SHFT(fv,fw,fx,fu)      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
         } else {      for (j=ncl+1; j<=nch; j++) 
           if (u < x) a=u; else b=u;        m[i][j]=m[i][j-1]+nlay;
           if (fu <= fw || w == x) {    }
             v=w;    return m; 
             w=u;    /*  gdb: p *(m+1) <=> p m[1] and p (m+1) <=> p (m+1) <=> p &(m[1])
             fv=fw;             &(m[i][j][k]) <=> *((*(m+i) + j)+k)
             fw=fu;    */
           } else if (fu <= fv || v == x || v == w) {  }
             v=u;  
             fv=fu;  /*************************free ma3x ************************/
           }  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));
   nrerror("Too many iterations in brent");    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   *xmin=x;    free((FREE_ARG)(m+nrl-NR_END));
   return fx;  }
 }  
   /***************** f1dim *************************/
 /****************** mnbrak ***********************/  extern int ncom; 
   extern double *pcom,*xicom;
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  extern double (*nrfunc)(double []); 
             double (*func)(double))   
 {  double f1dim(double x) 
   double ulim,u,r,q, dum;  { 
   double fu;    int j; 
      double f;
   *fa=(*func)(*ax);    double *xt; 
   *fb=(*func)(*bx);   
   if (*fb > *fa) {    xt=vector(1,ncom); 
     SHFT(dum,*ax,*bx,dum)    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
       SHFT(dum,*fb,*fa,dum)    f=(*nrfunc)(xt); 
       }    free_vector(xt,1,ncom); 
   *cx=(*bx)+GOLD*(*bx-*ax);    return f; 
   *fc=(*func)(*cx);  } 
   while (*fb > *fc) {  
     r=(*bx-*ax)*(*fb-*fc);  /*****************brent *************************/
     q=(*bx-*cx)*(*fb-*fa);  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/  { 
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));    int iter; 
     ulim=(*bx)+GLIMIT*(*cx-*bx);    double a,b,d,etemp;
     if ((*bx-u)*(u-*cx) > 0.0) {    double fu,fv,fw,fx;
       fu=(*func)(u);    double ftemp;
     } else if ((*cx-u)*(u-ulim) > 0.0) {    double p,q,r,tol1,tol2,u,v,w,x,xm; 
       fu=(*func)(u);    double e=0.0; 
       if (fu < *fc) {   
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))    a=(ax < cx ? ax : cx); 
           SHFT(*fb,*fc,fu,(*func)(u))    b=(ax > cx ? ax : cx); 
           }    x=w=v=bx; 
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {    fw=fv=fx=(*f)(x); 
       u=ulim;    for (iter=1;iter<=ITMAX;iter++) { 
       fu=(*func)(u);      xm=0.5*(a+b); 
     } else {      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
       u=(*cx)+GOLD*(*cx-*bx);      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
       fu=(*func)(u);      printf(".");fflush(stdout);
     }      fprintf(ficlog,".");fflush(ficlog);
     SHFT(*ax,*bx,*cx,u)  #ifdef DEBUG
       SHFT(*fa,*fb,*fc,fu)      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);
 }      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
   #endif
 /*************** linmin ************************/      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
         *xmin=x; 
 int ncom;        return fx; 
 double *pcom,*xicom;      } 
 double (*nrfunc)(double []);      ftemp=fu;
        if (fabs(e) > tol1) { 
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))        r=(x-w)*(fx-fv); 
 {        q=(x-v)*(fx-fw); 
   double brent(double ax, double bx, double cx,        p=(x-v)*q-(x-w)*r; 
                double (*f)(double), double tol, double *xmin);        q=2.0*(q-r); 
   double f1dim(double x);        if (q > 0.0) p = -p; 
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,        q=fabs(q); 
               double *fc, double (*func)(double));        etemp=e; 
   int j;        e=d; 
   double xx,xmin,bx,ax;        if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x)) 
   double fx,fb,fa;          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
          else { 
   ncom=n;          d=p/q; 
   pcom=vector(1,n);          u=x+d; 
   xicom=vector(1,n);          if (u-a < tol2 || b-u < tol2) 
   nrfunc=func;            d=SIGN(tol1,xm-x); 
   for (j=1;j<=n;j++) {        } 
     pcom[j]=p[j];      } else { 
     xicom[j]=xi[j];        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
   }      } 
   ax=0.0;      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
   xx=1.0;      fu=(*f)(u); 
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);      if (fu <= fx) { 
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);        if (u >= x) a=x; else b=x; 
 #ifdef DEBUG        SHFT(v,w,x,u) 
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);          SHFT(fv,fw,fx,fu) 
 #endif          } else { 
   for (j=1;j<=n;j++) {            if (u < x) a=u; else b=u; 
     xi[j] *= xmin;            if (fu <= fw || w == x) { 
     p[j] += xi[j];              v=w; 
   }              w=u; 
   free_vector(xicom,1,n);              fv=fw; 
   free_vector(pcom,1,n);              fw=fu; 
 }            } else if (fu <= fv || v == x || v == w) { 
               v=u; 
 /*************** powell ************************/              fv=fu; 
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,            } 
             double (*func)(double []))          } 
 {    } 
   void linmin(double p[], double xi[], int n, double *fret,    nrerror("Too many iterations in brent"); 
               double (*func)(double []));    *xmin=x; 
   int i,ibig,j;    return fx; 
   double del,t,*pt,*ptt,*xit;  } 
   double fp,fptt;  
   double *xits;  /****************** mnbrak ***********************/
   pt=vector(1,n);  
   ptt=vector(1,n);  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
   xit=vector(1,n);              double (*func)(double)) 
   xits=vector(1,n);  { 
   *fret=(*func)(p);    double ulim,u,r,q, dum;
   for (j=1;j<=n;j++) pt[j]=p[j];    double fu; 
   for (*iter=1;;++(*iter)) {   
     fp=(*fret);    *fa=(*func)(*ax); 
     ibig=0;    *fb=(*func)(*bx); 
     del=0.0;    if (*fb > *fa) { 
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);      SHFT(dum,*ax,*bx,dum) 
     for (i=1;i<=n;i++)        SHFT(dum,*fb,*fa,dum) 
       printf(" %d %.12f",i, p[i]);        } 
     printf("\n");    *cx=(*bx)+GOLD*(*bx-*ax); 
     for (i=1;i<=n;i++) {    *fc=(*func)(*cx); 
       for (j=1;j<=n;j++) xit[j]=xi[j][i];    while (*fb > *fc) { 
       fptt=(*fret);      r=(*bx-*ax)*(*fb-*fc); 
 #ifdef DEBUG      q=(*bx-*cx)*(*fb-*fa); 
       printf("fret=%lf \n",*fret);      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
 #endif        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
       printf("%d",i);fflush(stdout);      ulim=(*bx)+GLIMIT*(*cx-*bx); 
       linmin(p,xit,n,fret,func);      if ((*bx-u)*(u-*cx) > 0.0) { 
       if (fabs(fptt-(*fret)) > del) {        fu=(*func)(u); 
         del=fabs(fptt-(*fret));      } else if ((*cx-u)*(u-ulim) > 0.0) { 
         ibig=i;        fu=(*func)(u); 
       }        if (fu < *fc) { 
 #ifdef DEBUG          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
       printf("%d %.12e",i,(*fret));            SHFT(*fb,*fc,fu,(*func)(u)) 
       for (j=1;j<=n;j++) {            } 
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
         printf(" x(%d)=%.12e",j,xit[j]);        u=ulim; 
       }        fu=(*func)(u); 
       for(j=1;j<=n;j++)      } else { 
         printf(" p=%.12e",p[j]);        u=(*cx)+GOLD*(*cx-*bx); 
       printf("\n");        fu=(*func)(u); 
 #endif      } 
     }      SHFT(*ax,*bx,*cx,u) 
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {        SHFT(*fa,*fb,*fc,fu) 
 #ifdef DEBUG        } 
       int k[2],l;  } 
       k[0]=1;  
       k[1]=-1;  /*************** linmin ************************/
       printf("Max: %.12e",(*func)(p));  
       for (j=1;j<=n;j++)  int ncom; 
         printf(" %.12e",p[j]);  double *pcom,*xicom;
       printf("\n");  double (*nrfunc)(double []); 
       for(l=0;l<=1;l++) {   
         for (j=1;j<=n;j++) {  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];  { 
           printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);    double brent(double ax, double bx, double cx, 
         }                 double (*f)(double), double tol, double *xmin); 
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));    double f1dim(double x); 
       }    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
 #endif                double *fc, double (*func)(double)); 
     int j; 
     double xx,xmin,bx,ax; 
       free_vector(xit,1,n);    double fx,fb,fa;
       free_vector(xits,1,n);   
       free_vector(ptt,1,n);    ncom=n; 
       free_vector(pt,1,n);    pcom=vector(1,n); 
       return;    xicom=vector(1,n); 
     }    nrfunc=func; 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");    for (j=1;j<=n;j++) { 
     for (j=1;j<=n;j++) {      pcom[j]=p[j]; 
       ptt[j]=2.0*p[j]-pt[j];      xicom[j]=xi[j]; 
       xit[j]=p[j]-pt[j];    } 
       pt[j]=p[j];    ax=0.0; 
     }    xx=1.0; 
     fptt=(*func)(ptt);    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
     if (fptt < fp) {    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);  #ifdef DEBUG
       if (t < 0.0) {    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
         linmin(p,xit,n,fret,func);    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
         for (j=1;j<=n;j++) {  #endif
           xi[j][ibig]=xi[j][n];    for (j=1;j<=n;j++) { 
           xi[j][n]=xit[j];      xi[j] *= xmin; 
         }      p[j] += xi[j]; 
 #ifdef DEBUG    } 
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);    free_vector(xicom,1,n); 
         for(j=1;j<=n;j++)    free_vector(pcom,1,n); 
           printf(" %.12e",xit[j]);  } 
         printf("\n");  
 #endif  /*************** powell ************************/
       }  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
     }              double (*func)(double [])) 
   }  { 
 }    void linmin(double p[], double xi[], int n, double *fret, 
                 double (*func)(double [])); 
 /**** Prevalence limit ****************/    int i,ibig,j; 
     double del,t,*pt,*ptt,*xit;
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)    double fp,fptt;
 {    double *xits;
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    pt=vector(1,n); 
      matrix by transitions matrix until convergence is reached */    ptt=vector(1,n); 
     xit=vector(1,n); 
   int i, ii,j,k;    xits=vector(1,n); 
   double min, max, maxmin, maxmax,sumnew=0.;    *fret=(*func)(p); 
   double **matprod2();    for (j=1;j<=n;j++) pt[j]=p[j]; 
   double **out, cov[NCOVMAX], **pmij();    for (*iter=1;;++(*iter)) { 
   double **newm;      fp=(*fret); 
   double agefin, delaymax=50 ; /* Max number of years to converge */      ibig=0; 
       del=0.0; 
   for (ii=1;ii<=nlstate+ndeath;ii++)      printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);
     for (j=1;j<=nlstate+ndeath;j++){      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f",*iter,*fret);
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);      for (i=1;i<=n;i++) 
     }        printf(" %d %.12f",i, p[i]);
       fprintf(ficlog," %d %.12f",i, p[i]);
    cov[1]=1.;      printf("\n");
        fprintf(ficlog,"\n");
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */      for (i=1;i<=n;i++) { 
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
     newm=savm;        fptt=(*fret); 
     /* Covariates have to be included here again */  #ifdef DEBUG
      cov[2]=agefin;        printf("fret=%lf \n",*fret);
          fprintf(ficlog,"fret=%lf \n",*fret);
       for (k=1; k<=cptcovn;k++) {  #endif
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];        printf("%d",i);fflush(stdout);
         /*printf("ij=%d Tvar[k]=%d nbcode=%d cov=%lf\n",ij, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k]);*/        fprintf(ficlog,"%d",i);fflush(ficlog);
       }        linmin(p,xit,n,fret,func); 
       for (k=1; k<=cptcovage;k++)        if (fabs(fptt-(*fret)) > del) { 
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];          del=fabs(fptt-(*fret)); 
       for (k=1; k<=cptcovprod;k++)          ibig=i; 
         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("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/        printf("%d %.12e",i,(*fret));
       /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/        fprintf(ficlog,"%d %.12e",i,(*fret));
         for (j=1;j<=n;j++) {
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
           printf(" x(%d)=%.12e",j,xit[j]);
     savm=oldm;          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
     oldm=newm;        }
     maxmax=0.;        for(j=1;j<=n;j++) {
     for(j=1;j<=nlstate;j++){          printf(" p=%.12e",p[j]);
       min=1.;          fprintf(ficlog," p=%.12e",p[j]);
       max=0.;        }
       for(i=1; i<=nlstate; i++) {        printf("\n");
         sumnew=0;        fprintf(ficlog,"\n");
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];  #endif
         prlim[i][j]= newm[i][j]/(1-sumnew);      } 
         max=FMAX(max,prlim[i][j]);      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
         min=FMIN(min,prlim[i][j]);  #ifdef DEBUG
       }        int k[2],l;
       maxmin=max-min;        k[0]=1;
       maxmax=FMAX(maxmax,maxmin);        k[1]=-1;
     }        printf("Max: %.12e",(*func)(p));
     if(maxmax < ftolpl){        fprintf(ficlog,"Max: %.12e",(*func)(p));
       return prlim;        for (j=1;j<=n;j++) {
     }          printf(" %.12e",p[j]);
   }          fprintf(ficlog," %.12e",p[j]);
 }        }
         printf("\n");
 /*************** transition probabilities ***************/        fprintf(ficlog,"\n");
         for(l=0;l<=1;l++) {
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )          for (j=1;j<=n;j++) {
 {            ptt[j]=p[j]+(p[j]-pt[j])*k[l];
   double s1, s2;            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   /*double t34;*/            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
   int i,j,j1, nc, ii, jj;          }
           printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     for(i=1; i<= nlstate; i++){          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
     for(j=1; j<i;j++){        }
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){  #endif
         /*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("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/        free_vector(xit,1,n); 
       }        free_vector(xits,1,n); 
       ps[i][j]=s2;        free_vector(ptt,1,n); 
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/        free_vector(pt,1,n); 
     }        return; 
     for(j=i+1; j<=nlstate+ndeath;j++){      } 
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
         s2 += x[(i-1)*nlstate*ncovmodel+(j-2)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];      for (j=1;j<=n;j++) { 
         /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/        ptt[j]=2.0*p[j]-pt[j]; 
       }        xit[j]=p[j]-pt[j]; 
       ps[i][j]=(s2);        pt[j]=p[j]; 
     }      } 
   }      fptt=(*func)(ptt); 
     /*ps[3][2]=1;*/      if (fptt < fp) { 
         t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
   for(i=1; i<= nlstate; i++){        if (t < 0.0) { 
      s1=0;          linmin(p,xit,n,fret,func); 
     for(j=1; j<i; j++)          for (j=1;j<=n;j++) { 
       s1+=exp(ps[i][j]);            xi[j][ibig]=xi[j][n]; 
     for(j=i+1; j<=nlstate+ndeath; j++)            xi[j][n]=xit[j]; 
       s1+=exp(ps[i][j]);          }
     ps[i][i]=1./(s1+1.);  #ifdef DEBUG
     for(j=1; j<i; j++)          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
       ps[i][j]= exp(ps[i][j])*ps[i][i];          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
     for(j=i+1; j<=nlstate+ndeath; j++)          for(j=1;j<=n;j++){
       ps[i][j]= exp(ps[i][j])*ps[i][i];            printf(" %.12e",xit[j]);
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */            fprintf(ficlog," %.12e",xit[j]);
   } /* end i */          }
           printf("\n");
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){          fprintf(ficlog,"\n");
     for(jj=1; jj<= nlstate+ndeath; jj++){  #endif
       ps[ii][jj]=0;        }
       ps[ii][ii]=1;      } 
     }    } 
   }  } 
   
   /**** Prevalence limit (stable prevalence)  ****************/
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){  
     for(jj=1; jj<= nlstate+ndeath; jj++){  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
      printf("%lf ",ps[ii][jj]);  {
    }    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
     printf("\n ");       matrix by transitions matrix until convergence is reached */
     }  
     printf("\n ");printf("%lf ",cov[2]);*/    int i, ii,j,k;
 /*    double min, max, maxmin, maxmax,sumnew=0.;
   for(i=1; i<= npar; i++) printf("%f ",x[i]);    double **matprod2();
   goto end;*/    double **out, cov[NCOVMAX], **pmij();
     return ps;    double **newm;
 }    double agefin, delaymax=50 ; /* Max number of years to converge */
   
 /**************** Product of 2 matrices ******************/    for (ii=1;ii<=nlstate+ndeath;ii++)
       for (j=1;j<=nlstate+ndeath;j++){
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 {      }
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times  
      b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */     cov[1]=1.;
   /* in, b, out are matrice of pointers which should have been initialized   
      before: only the contents of out is modified. The function returns   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
      a pointer to pointers identical to out */    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
   long i, j, k;      newm=savm;
   for(i=nrl; i<= nrh; i++)      /* Covariates have to be included here again */
     for(k=ncolol; k<=ncoloh; k++)       cov[2]=agefin;
       for(j=ncl,out[i][k]=0.; j<=nch; j++)    
         out[i][k] +=in[i][j]*b[j][k];        for (k=1; k<=cptcovn;k++) {
           cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
   return out;          /*      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]]);*/
 }        }
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         for (k=1; k<=cptcovprod;k++)
 /************* Higher Matrix Product ***************/          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )        /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/
 {        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
      duration (i.e. until      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.  
      Output is stored in matrix po[i][j][h] for h every 'hstepm' step      savm=oldm;
      (typically every 2 years instead of every month which is too big).      oldm=newm;
      Model is determined by parameters x and covariates have to be      maxmax=0.;
      included manually here.      for(j=1;j<=nlstate;j++){
         min=1.;
      */        max=0.;
         for(i=1; i<=nlstate; i++) {
   int i, j, d, h, k;          sumnew=0;
   double **out, cov[NCOVMAX];          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
   double **newm;          prlim[i][j]= newm[i][j]/(1-sumnew);
           max=FMAX(max,prlim[i][j]);
   /* Hstepm could be zero and should return the unit matrix */          min=FMIN(min,prlim[i][j]);
   for (i=1;i<=nlstate+ndeath;i++)        }
     for (j=1;j<=nlstate+ndeath;j++){        maxmin=max-min;
       oldm[i][j]=(i==j ? 1.0 : 0.0);        maxmax=FMAX(maxmax,maxmin);
       po[i][j][0]=(i==j ? 1.0 : 0.0);      }
     }      if(maxmax < ftolpl){
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */        return prlim;
   for(h=1; h <=nhstepm; h++){      }
     for(d=1; d <=hstepm; d++){    }
       newm=savm;  }
       /* Covariates have to be included here again */  
       cov[1]=1.;  /*************** transition probabilities ***************/ 
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;  
       for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
       for (k=1; k<=cptcovage;k++)  {
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];    double s1, s2;
       for (k=1; k<=cptcovprod;k++)    /*double t34;*/
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];    int i,j,j1, nc, ii, jj;
   
       for(i=1; i<= nlstate; i++){
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/      for(j=1; j<i;j++){
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/        for (nc=1, s2=0.;nc <=ncovmodel; nc++){
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,          /*s2 += param[i][j][nc]*cov[nc];*/
                    pmij(pmmij,cov,ncovmodel,x,nlstate));          s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*cov[nc];
       savm=oldm;          /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/
       oldm=newm;        }
     }        ps[i][j]=s2;
     for(i=1; i<=nlstate+ndeath; i++)        /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/
       for(j=1;j<=nlstate+ndeath;j++) {      }
         po[i][j][h]=newm[i][j];      for(j=i+1; j<=nlstate+ndeath;j++){
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);        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("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/
   } /* end h */        }
   return po;        ps[i][j]=s2;
 }      }
     }
       /*ps[3][2]=1;*/
 /*************** log-likelihood *************/  
 double func( double *x)    for(i=1; i<= nlstate; i++){
 {       s1=0;
   int i, ii, j, k, mi, d, kk;      for(j=1; j<i; j++)
   double l, ll[NLSTATEMAX], cov[NCOVMAX];        s1+=exp(ps[i][j]);
   double **out;      for(j=i+1; j<=nlstate+ndeath; j++)
   double sw; /* Sum of weights */        s1+=exp(ps[i][j]);
   double lli; /* Individual log likelihood */      ps[i][i]=1./(s1+1.);
   long ipmx;      for(j=1; j<i; j++)
   /*extern weight */        ps[i][j]= exp(ps[i][j])*ps[i][i];
   /* We are differentiating ll according to initial status */      for(j=i+1; j<=nlstate+ndeath; j++)
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/        ps[i][j]= exp(ps[i][j])*ps[i][i];
   /*for(i=1;i<imx;i++)      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
     printf(" %d\n",s[4][i]);    } /* end i */
   */  
   cov[1]=1.;    for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
       for(jj=1; jj<= nlstate+ndeath; jj++){
   for(k=1; k<=nlstate; k++) ll[k]=0.;        ps[ii][jj]=0;
   for (i=1,ipmx=0, sw=0.; i<=imx; i++){        ps[ii][ii]=1;
     for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];      }
     for(mi=1; mi<= wav[i]-1; mi++){    }
       for (ii=1;ii<=nlstate+ndeath;ii++)  
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);  
       for(d=0; d<dh[mi][i]; d++){    /*   for(ii=1; ii<= nlstate+ndeath; ii++){
         newm=savm;      for(jj=1; jj<= nlstate+ndeath; jj++){
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;       printf("%lf ",ps[ii][jj]);
         for (kk=1; kk<=cptcovage;kk++) {     }
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];      printf("\n ");
         }      }
              printf("\n ");printf("%lf ",cov[2]);*/
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,  /*
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));    for(i=1; i<= npar; i++) printf("%f ",x[i]);
         savm=oldm;    goto end;*/
         oldm=newm;      return ps;
          }
          
       } /* end mult */  /**************** Product of 2 matrices ******************/
        
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/  {
       ipmx +=1;    /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times
       sw += weight[i];       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;    /* in, b, out are matrice of pointers which should have been initialized 
     } /* end of wave */       before: only the contents of out is modified. The function returns
   } /* end of individual */       a pointer to pointers identical to out */
     long i, j, k;
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    for(i=nrl; i<= nrh; i++)
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */      for(k=ncolol; k<=ncoloh; k++)
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */        for(j=ncl,out[i][k]=0.; j<=nch; j++)
   return -l;          out[i][k] +=in[i][j]*b[j][k];
 }  
     return out;
   }
 /*********** Maximum Likelihood Estimation ***************/  
   
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  /************* Higher Matrix Product ***************/
 {  
   int i,j, iter;  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
   double **xi,*delti;  {
   double fret;    /* Computes the transition matrix starting at age 'age' over 
   xi=matrix(1,npar,1,npar);       'nhstepm*hstepm*stepm' months (i.e. until
   for (i=1;i<=npar;i++)       age (in years)  age+nhstepm*hstepm*stepm/12) by multiplying 
     for (j=1;j<=npar;j++)       nhstepm*hstepm matrices. 
       xi[i][j]=(i==j ? 1.0 : 0.0);       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
   printf("Powell\n");       (typically every 2 years instead of every month which is too big 
   powell(p,xi,npar,ftol,&iter,&fret,func);       for the memory).
        Model is determined by parameters x and covariates have to be 
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));       included manually here. 
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f ",iter,func(p));  
        */
 }  
     int i, j, d, h, k;
 /**** Computes Hessian and covariance matrix ***/    double **out, cov[NCOVMAX];
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))    double **newm;
 {  
   double  **a,**y,*x,pd;    /* Hstepm could be zero and should return the unit matrix */
   double **hess;    for (i=1;i<=nlstate+ndeath;i++)
   int i, j,jk;      for (j=1;j<=nlstate+ndeath;j++){
   int *indx;        oldm[i][j]=(i==j ? 1.0 : 0.0);
         po[i][j][0]=(i==j ? 1.0 : 0.0);
   double hessii(double p[], double delta, int theta, double delti[]);      }
   double hessij(double p[], double delti[], int i, int j);    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   void lubksb(double **a, int npar, int *indx, double b[]) ;    for(h=1; h <=nhstepm; h++){
   void ludcmp(double **a, int npar, int *indx, double *d) ;      for(d=1; d <=hstepm; d++){
         newm=savm;
   hess=matrix(1,npar,1,npar);        /* Covariates have to be included here again */
         cov[1]=1.;
   printf("\nCalculation of the hessian matrix. Wait...\n");        cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;
   for (i=1;i<=npar;i++){        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
     printf("%d",i);fflush(stdout);        for (k=1; k<=cptcovage;k++)
     hess[i][i]=hessii(p,ftolhess,i,delti);          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
     /*printf(" %f ",p[i]);*/        for (k=1; k<=cptcovprod;k++)
     /*printf(" %lf ",hess[i][i]);*/          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   }  
    
   for (i=1;i<=npar;i++) {        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
     for (j=1;j<=npar;j++)  {        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
       if (j>i) {        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
         printf(".%d%d",i,j);fflush(stdout);                     pmij(pmmij,cov,ncovmodel,x,nlstate));
         hess[i][j]=hessij(p,delti,i,j);        savm=oldm;
         hess[j][i]=hess[i][j];            oldm=newm;
         /*printf(" %lf ",hess[i][j]);*/      }
       }      for(i=1; i<=nlstate+ndeath; i++)
     }        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]);
            */
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");        }
      } /* end h */
   a=matrix(1,npar,1,npar);    return po;
   y=matrix(1,npar,1,npar);  }
   x=vector(1,npar);  
   indx=ivector(1,npar);  
   for (i=1;i<=npar;i++)  /*************** log-likelihood *************/
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];  double func( double *x)
   ludcmp(a,npar,indx,&pd);  {
     int i, ii, j, k, mi, d, kk;
   for (j=1;j<=npar;j++) {    double l, ll[NLSTATEMAX], cov[NCOVMAX];
     for (i=1;i<=npar;i++) x[i]=0;    double **out;
     x[j]=1;    double sw; /* Sum of weights */
     lubksb(a,npar,indx,x);    double lli; /* Individual log likelihood */
     for (i=1;i<=npar;i++){    int s1, s2;
       matcov[i][j]=x[i];    double bbh, survp;
     }    long ipmx;
   }    /*extern weight */
     /* We are differentiating ll according to initial status */
   printf("\n#Hessian matrix#\n");    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   for (i=1;i<=npar;i++) {    /*for(i=1;i<imx;i++) 
     for (j=1;j<=npar;j++) {      printf(" %d\n",s[4][i]);
       printf("%.3e ",hess[i][j]);    */
     }    cov[1]=1.;
     printf("\n");  
   }    for(k=1; k<=nlstate; k++) ll[k]=0.;
   
   /* Recompute Inverse */    if(mle==1){
   for (i=1;i<=npar;i++)      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   ludcmp(a,npar,indx,&pd);        for(mi=1; mi<= wav[i]-1; mi++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
   /*  printf("\n#Hessian matrix recomputed#\n");            for (j=1;j<=nlstate+ndeath;j++){
               oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   for (j=1;j<=npar;j++) {              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     for (i=1;i<=npar;i++) x[i]=0;            }
     x[j]=1;          for(d=0; d<dh[mi][i]; d++){
     lubksb(a,npar,indx,x);            newm=savm;
     for (i=1;i<=npar;i++){            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
       y[i][j]=x[i];            for (kk=1; kk<=cptcovage;kk++) {
       printf("%.3e ",y[i][j]);              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     }            }
     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;
   free_matrix(a,1,npar,1,npar);          } /* end mult */
   free_matrix(y,1,npar,1,npar);        
   free_vector(x,1,npar);          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
   free_ivector(indx,1,npar);          /* But now since version 0.9 we anticipate for bias and large stepm.
   free_matrix(hess,1,npar,1,npar);           * If stepm is larger than one month (smallest stepm) and if the exact delay 
            * (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
 }           * 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
 /*************** hessian matrix ****************/           * probability in order to take into account the bias as a fraction of the way
 double hessii( double x[], double delta, int theta, double delti[])           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
 {           * -stepm/2 to stepm/2 .
   int i;           * For stepm=1 the results are the same as for previous versions of Imach.
   int l=1, lmax=20;           * For stepm > 1 the results are less biased than in previous versions. 
   double k1,k2;           */
   double p2[NPARMAX+1];          s1=s[mw[mi][i]][i];
   double res;          s2=s[mw[mi+1][i]][i];
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;          bbh=(double)bh[mi][i]/(double)stepm; 
   double fx;          /* bias is positive if real duration
   int k=0,kmax=10;           * is higher than the multiple of stepm and negative otherwise.
   double l1;           */
           /* lli= (savm[s1][s2]>1.e-8 ?(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]):log((1.+bbh)*out[s1][s2]));*/
   fx=func(x);          if( s2 > nlstate){ 
   for (i=1;i<=npar;i++) p2[i]=x[i];            /* i.e. if s2 is a death state and if the date of death is known then the contribution
   for(l=0 ; l <=lmax; l++){               to the likelihood is the probability to die between last step unit time and current 
     l1=pow(10,l);               step unit time, which is also the differences between probability to die before dh 
     delts=delt;               and probability to die before dh-stepm . 
     for(k=1 ; k <kmax; k=k+1){               In version up to 0.92 likelihood was computed
       delt = delta*(l1*k);          as if date of death was unknown. Death was treated as any other
       p2[theta]=x[theta] +delt;          health state: the date of the interview describes the actual state
       k1=func(p2)-fx;          and not the date of a change in health state. The former idea was
       p2[theta]=x[theta]-delt;          to consider that at each interview the state was recorded
       k2=func(p2)-fx;          (healthy, disable or death) and IMaCh was corrected; but when we
       /*res= (k1-2.0*fx+k2)/delt/delt; */          introduced the exact date of death then we should have modified
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */          the contribution of an exact death to the likelihood. This new
                contribution is smaller and very dependent of the step unit
 #ifdef DEBUG          stepm. It is no more the probability to die between last interview
       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);          and month of death but the probability to survive from last
 #endif          interview up to one month before death multiplied by the
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */          probability to die within a month. Thanks to Chris
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){          Jackson for correcting this bug.  Former versions increased
         k=kmax;          mortality artificially. The bad side is that we add another loop
       }          which slows down the processing. The difference can be up to 10%
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */          lower mortality.
         k=kmax; l=lmax*10.;            */
       }            lli=log(out[s1][s2] - savm[s1][s2]);
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){          }else{
         delts=delt;            lli= log((1.+bbh)*out[s1][s2]- bbh*savm[s1][s2]); /* linear interpolation */
       }            /*  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 */
     }          } 
   }          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
   delti[theta]=delts;          /*if(lli ==000.0)*/
   return res;          /*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;
 }          sw += weight[i];
           ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
 double hessij( double x[], double delti[], int thetai,int thetaj)        } /* end of wave */
 {      } /* end of individual */
   int i;    }  else if(mle==2){
   int l=1, l1, lmax=20;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
   double k1,k2,k3,k4,res,fx;        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
   double p2[NPARMAX+1];        for(mi=1; mi<= wav[i]-1; mi++){
   int k;          for (ii=1;ii<=nlstate+ndeath;ii++)
             for (j=1;j<=nlstate+ndeath;j++){
   fx=func(x);              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
   for (k=1; k<=2; k++) {              savm[ii][j]=(ii==j ? 1.0 : 0.0);
     for (i=1;i<=npar;i++) p2[i]=x[i];            }
     p2[thetai]=x[thetai]+delti[thetai]/k;          for(d=0; d<=dh[mi][i]; d++){
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;            newm=savm;
     k1=func(p2)-fx;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
              for (kk=1; kk<=cptcovage;kk++) {
     p2[thetai]=x[thetai]+delti[thetai]/k;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;            }
     k2=func(p2)-fx;            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                           1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
     p2[thetai]=x[thetai]-delti[thetai]/k;            savm=oldm;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;            oldm=newm;
     k3=func(p2)-fx;          } /* end mult */
          
     p2[thetai]=x[thetai]-delti[thetai]/k;          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;          /* But now since version 0.9 we anticipate for bias and large stepm.
     k4=func(p2)-fx;           * If stepm is larger than one month (smallest stepm) and if the exact delay 
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */           * (in months) between two waves is not a multiple of stepm, we rounded to 
 #ifdef DEBUG           * the nearest (and in case of equal distance, to the lowest) interval but now
     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);           * we keep into memory the bias bh[mi][i] and also the previous matrix product
 #endif           * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
   }           * probability in order to take into account the bias as a fraction of the way
   return res;           * from savm to out if bh is neagtive or even beyond if bh is positive. bh varies
 }           * -stepm/2 to stepm/2 .
            * For stepm=1 the results are the same as for previous versions of Imach.
 /************** Inverse of matrix **************/           * For stepm > 1 the results are less biased than in previous versions. 
 void ludcmp(double **a, int n, int *indx, double *d)           */
 {          s1=s[mw[mi][i]][i];
   int i,imax,j,k;          s2=s[mw[mi+1][i]][i];
   double big,dum,sum,temp;          bbh=(double)bh[mi][i]/(double)stepm; 
   double *vv;          /* bias is positive if real duration
             * is higher than the multiple of stepm and negative otherwise.
   vv=vector(1,n);           */
   *d=1.0;          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 */
   for (i=1;i<=n;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]));*/
     big=0.0;          /*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 */
     for (j=1;j<=n;j++)          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
       if ((temp=fabs(a[i][j])) > big) big=temp;          /*if(lli ==000.0)*/
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");          /*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); */
     vv[i]=1.0/big;          ipmx +=1;
   }          sw += weight[i];
   for (j=1;j<=n;j++) {          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     for (i=1;i<j;i++) {        } /* end of wave */
       sum=a[i][j];      } /* end of individual */
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];    }  else if(mle==3){  /* exponential inter-extrapolation */
       a[i][j]=sum;      for (i=1,ipmx=0, sw=0.; i<=imx; i++){
     }        for (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     big=0.0;        for(mi=1; mi<= wav[i]-1; mi++){
     for (i=j;i<=n;i++) {          for (ii=1;ii<=nlstate+ndeath;ii++)
       sum=a[i][j];            for (j=1;j<=nlstate+ndeath;j++){
       for (k=1;k<j;k++)              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
         sum -= a[i][k]*a[k][j];              savm[ii][j]=(ii==j ? 1.0 : 0.0);
       a[i][j]=sum;            }
       if ( (dum=vv[i]*fabs(sum)) >= big) {          for(d=0; d<dh[mi][i]; d++){
         big=dum;            newm=savm;
         imax=i;            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];
     if (j != imax) {            }
       for (k=1;k<=n;k++) {            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
         dum=a[imax][k];                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         a[imax][k]=a[j][k];            savm=oldm;
         a[j][k]=dum;            oldm=newm;
       }          } /* end mult */
       *d = -(*d);        
       vv[imax]=vv[j];          /*lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/ /* Original formula */
     }          /* But now since version 0.9 we anticipate for bias and large stepm.
     indx[j]=imax;           * If stepm is larger than one month (smallest stepm) and if the exact delay 
     if (a[j][j] == 0.0) a[j][j]=TINY;           * (in months) between two waves is not a multiple of stepm, we rounded to 
     if (j != n) {           * the nearest (and in case of equal distance, to the lowest) interval but now
       dum=1.0/(a[j][j]);           * we keep into memory the bias bh[mi][i] and also the previous matrix product
       for (i=j+1;i<=n;i++) a[i][j] *= dum;           * (i.e to dh[mi][i]-1) saved in 'savm'. The we inter(extra)polate the
     }           * 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
   free_vector(vv,1,n);  /* Doesn't work */           * -stepm/2 to stepm/2 .
 ;           * For stepm=1 the results are the same as for previous versions of Imach.
 }           * For stepm > 1 the results are less biased than in previous versions. 
            */
 void lubksb(double **a, int n, int *indx, double b[])          s1=s[mw[mi][i]][i];
 {          s2=s[mw[mi+1][i]][i];
   int i,ii=0,ip,j;          bbh=(double)bh[mi][i]/(double)stepm; 
   double sum;          /* bias is positive if real duration
             * is higher than the multiple of stepm and negative otherwise.
   for (i=1;i<=n;i++) {           */
     ip=indx[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 */
     sum=b[ip];          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 */
     b[ip]=b[i];          /*lli=(1.+bbh)*log(out[s1][s2])- bbh*log(savm[s1][s2]);*/
     if (ii)          /*if(lli ==000.0)*/
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];          /*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); */
     else if (sum) ii=i;          ipmx +=1;
     b[i]=sum;          sw += weight[i];
   }          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
   for (i=n;i>=1;i--) {        } /* end of wave */
     sum=b[i];      } /* end of individual */
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];    }else{  /* ml=4 no inter-extrapolation */
     b[i]=sum/a[i][i];      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++){
           for (ii=1;ii<=nlstate+ndeath;ii++)
 /************ Frequencies ********************/            for (j=1;j<=nlstate+ndeath;j++){
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax, int fprev1,int lprev1,double **mint,double **anint)              oldm[ii][j]=(ii==j ? 1.0 : 0.0);
 {  /* Some frequencies */              savm[ii][j]=(ii==j ? 1.0 : 0.0);
              }
   int i, m, jk, k1, k2,i1, j1, bool, z1,z2,j;          for(d=0; d<dh[mi][i]; d++){
   double ***freq; /* Frequencies */            newm=savm;
   double *pp;            cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
   double pos;            for (kk=1; kk<=cptcovage;kk++) {
   FILE *ficresp;              cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
   char fileresp[FILENAMELENGTH];            }
           
   pp=vector(1,nlstate);            out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
   probs= ma3x(1,130 ,1,8, 1,8);                         1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
   strcpy(fileresp,"p");            savm=oldm;
   strcat(fileresp,fileres);            oldm=newm;
   if((ficresp=fopen(fileresp,"w"))==NULL) {          } /* end mult */
     printf("Problem with prevalence resultfile: %s\n", fileresp);        
     exit(0);          lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]); /* Original formula */
   }          ipmx +=1;
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);          sw += weight[i];
   j1=0;          ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
         } /* end of wave */
   j=cptcoveff;      } /* end of individual */
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    } /* End of if */
     for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   for(k1=1; k1<=j;k1++){    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
    for(i1=1; i1<=ncodemax[k1];i1++){    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
        j1++;    return -l;
        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);  }
          scanf("%d", i);*/  
         for (i=-1; i<=nlstate+ndeath; i++)    
          for (jk=-1; jk<=nlstate+ndeath; jk++)    /*********** Maximum Likelihood Estimation ***************/
            for(m=agemin; m <= agemax+3; m++)  
              freq[i][jk][m]=0;  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
          {
        for (i=1; i<=imx; i++) {    int i,j, iter;
          bool=1;    double **xi;
          if  (cptcovn>0) {    double fret;
            for (z1=1; z1<=cptcoveff; z1++)    xi=matrix(1,npar,1,npar);
              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])    for (i=1;i<=npar;i++)
                bool=0;      for (j=1;j<=npar;j++)
          }        xi[i][j]=(i==j ? 1.0 : 0.0);
           if (bool==1) {    printf("Powell\n");  fprintf(ficlog,"Powell\n");
             for(m=fprev1; m<=lprev1; m++){    powell(p,xi,npar,ftol,&iter,&fret,func);
              k2=anint[m][i]+(mint[m][i]/12.);  
              if ((k2>=1984) && (k2<=1988.5)) {     printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
              if(agev[m][i]==0) agev[m][i]=agemax+1;    fprintf(ficlog,"\n#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
              if(agev[m][i]==1) agev[m][i]=agemax+2;    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
              freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];  
              freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];  }
              }  
             }  /**** Computes Hessian and covariance matrix ***/
           }  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
        }  {
         if  (cptcovn>0) {    double  **a,**y,*x,pd;
          fprintf(ficresp, "\n#********** Variable ");    double **hess;
          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    int i, j,jk;
        fprintf(ficresp, "**********\n#");    int *indx;
         }  
        for(i=1; i<=nlstate;i++)    double hessii(double p[], double delta, int theta, double delti[]);
          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);    double hessij(double p[], double delti[], int i, int j);
        fprintf(ficresp, "\n");    void lubksb(double **a, int npar, int *indx, double b[]) ;
            void ludcmp(double **a, int npar, int *indx, double *d) ;
   for(i=(int)agemin; i <= (int)agemax+3; i++){  
     if(i==(int)agemax+3)    hess=matrix(1,npar,1,npar);
       printf("Total");  
     else    printf("\nCalculation of the hessian matrix. Wait...\n");
       printf("Age %d", i);    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
     for(jk=1; jk <=nlstate ; jk++){    for (i=1;i<=npar;i++){
       for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)      printf("%d",i);fflush(stdout);
         pp[jk] += freq[jk][m][i];      fprintf(ficlog,"%d",i);fflush(ficlog);
     }      hess[i][i]=hessii(p,ftolhess,i,delti);
     for(jk=1; jk <=nlstate ; jk++){      /*printf(" %f ",p[i]);*/
       for(m=-1, pos=0; m <=0 ; m++)      /*printf(" %lf ",hess[i][i]);*/
         pos += freq[jk][m][i];    }
       if(pp[jk]>=1.e-10)    
         printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);    for (i=1;i<=npar;i++) {
       else      for (j=1;j<=npar;j++)  {
         printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);        if (j>i) { 
     }          printf(".%d%d",i,j);fflush(stdout);
           fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
      for(jk=1; jk <=nlstate ; jk++){          hess[i][j]=hessij(p,delti,i,j);
       for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)          hess[j][i]=hess[i][j];    
         pp[jk] += freq[jk][m][i];          /*printf(" %lf ",hess[i][j]);*/
      }        }
       }
     for(jk=1,pos=0; jk <=nlstate ; jk++)    }
       pos += pp[jk];    printf("\n");
     for(jk=1; jk <=nlstate ; jk++){    fprintf(ficlog,"\n");
       if(pos>=1.e-5)  
         printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
       else    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
         printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);    
       if( i <= (int) agemax){    a=matrix(1,npar,1,npar);
         if(pos>=1.e-5){    y=matrix(1,npar,1,npar);
           fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);    x=vector(1,npar);
           probs[i][jk][j1]= pp[jk]/pos;    indx=ivector(1,npar);
           /*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 (i=1;i<=npar;i++)
         }      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
       else    ludcmp(a,npar,indx,&pd);
           fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);  
       }    for (j=1;j<=npar;j++) {
     }      for (i=1;i<=npar;i++) x[i]=0;
     for(jk=-1; jk <=nlstate+ndeath; jk++)      x[j]=1;
       for(m=-1; m <=nlstate+ndeath; m++)      lubksb(a,npar,indx,x);
         if(freq[jk][m][i] !=0 ) printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);      for (i=1;i<=npar;i++){ 
     if(i <= (int) agemax)        matcov[i][j]=x[i];
       fprintf(ficresp,"\n");      }
     printf("\n");    }
     }  
     }    printf("\n#Hessian matrix#\n");
  }    fprintf(ficlog,"\n#Hessian matrix#\n");
      for (i=1;i<=npar;i++) { 
   fclose(ficresp);      for (j=1;j<=npar;j++) { 
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);        printf("%.3e ",hess[i][j]);
   free_vector(pp,1,nlstate);        fprintf(ficlog,"%.3e ",hess[i][j]);
       }
 }  /* End of Freq */      printf("\n");
       fprintf(ficlog,"\n");
 /************ Prevalence ********************/    }
 void prevalence(int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax, int fprev1,int lprev1)  
 {  /* Some frequencies */    /* Recompute Inverse */
      for (i=1;i<=npar;i++)
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   double ***freq; /* Frequencies */    ludcmp(a,npar,indx,&pd);
   double *pp;  
   double pos;    /*  printf("\n#Hessian matrix recomputed#\n");
   
   pp=vector(1,nlstate);    for (j=1;j<=npar;j++) {
   probs= ma3x(1,130 ,1,8, 1,8);      for (i=1;i<=npar;i++) x[i]=0;
        x[j]=1;
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);      lubksb(a,npar,indx,x);
   j1=0;      for (i=1;i<=npar;i++){ 
          y[i][j]=x[i];
   j=cptcoveff;        printf("%.3e ",y[i][j]);
   if (cptcovn<1) {j=1;ncodemax[1]=1;}        fprintf(ficlog,"%.3e ",y[i][j]);
        }
  for(k1=1; k1<=j;k1++){      printf("\n");
     for(i1=1; i1<=ncodemax[k1];i1++){      fprintf(ficlog,"\n");
       j1++;    }
      */
       for (i=-1; i<=nlstate+ndeath; i++)    
         for (jk=-1; jk<=nlstate+ndeath; jk++)      free_matrix(a,1,npar,1,npar);
           for(m=agemin; m <= agemax+3; m++)    free_matrix(y,1,npar,1,npar);
           freq[i][jk][m]=0;    free_vector(x,1,npar);
          free_ivector(indx,1,npar);
       for (i=1; i<=imx; i++) {    free_matrix(hess,1,npar,1,npar);
         bool=1;  
         if  (cptcovn>0) {  
           for (z1=1; z1<=cptcoveff; z1++)  }
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])  
               bool=0;  /*************** hessian matrix ****************/
               }  double hessii( double x[], double delta, int theta, double delti[])
         if (bool==1) {  {
           for(m=fprev1; m<=lprev1; m++){    int i;
             if(agev[m][i]==0) agev[m][i]=agemax+1;    int l=1, lmax=20;
             if(agev[m][i]==1) agev[m][i]=agemax+2;    double k1,k2;
             freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];    double p2[NPARMAX+1];
             freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];    double res;
           }    double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;
         }    double fx;
       }    int k=0,kmax=10;
        for(i=(int)agemin; i <= (int)agemax+3; i++){    double l1;
         for(jk=1; jk <=nlstate ; jk++){  
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)    fx=func(x);
             pp[jk] += freq[jk][m][i];    for (i=1;i<=npar;i++) p2[i]=x[i];
         }    for(l=0 ; l <=lmax; l++){
         for(jk=1; jk <=nlstate ; jk++){      l1=pow(10,l);
           for(m=-1, pos=0; m <=0 ; m++)      delts=delt;
             pos += freq[jk][m][i];      for(k=1 ; k <kmax; k=k+1){
         }        delt = delta*(l1*k);
                p2[theta]=x[theta] +delt;
          for(jk=1; jk <=nlstate ; jk++){        k1=func(p2)-fx;
            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)        p2[theta]=x[theta]-delt;
              pp[jk] += freq[jk][m][i];        k2=func(p2)-fx;
          }        /*res= (k1-2.0*fx+k2)/delt/delt; */
                  res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
          for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];        
   #ifdef DEBUG
          for(jk=1; jk <=nlstate ; jk++){                  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);
            if( i <= (int) agemax){        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);
              if(pos>=1.e-5){  #endif
                probs[i][jk][j1]= pp[jk]/pos;        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
              }        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
            }          k=kmax;
          }        }
                  else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
          }          k=kmax; l=lmax*10.;
     }        }
   }        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
            delts=delt;
          }
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);      }
   free_vector(pp,1,nlstate);    }
      delti[theta]=delts;
 }  /* End of Freq */    return res; 
 /************* Waves Concatenation ***************/    
   }
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  
 {  double hessij( double x[], double delti[], int thetai,int thetaj)
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.  {
      Death is a valid wave (if date is known).    int i;
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i    int l=1, l1, lmax=20;
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]    double k1,k2,k3,k4,res,fx;
      and mw[mi+1][i]. dh depends on stepm.    double p2[NPARMAX+1];
      */    int k;
   
   int i, mi, m;    fx=func(x);
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;    for (k=1; k<=2; k++) {
      double sum=0., jmean=0.;*/      for (i=1;i<=npar;i++) p2[i]=x[i];
       p2[thetai]=x[thetai]+delti[thetai]/k;
   int j, k=0,jk, ju, jl;      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
   double sum=0.;      k1=func(p2)-fx;
   jmin=1e+5;    
   jmax=-1;      p2[thetai]=x[thetai]+delti[thetai]/k;
   jmean=0.;      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
   for(i=1; i<=imx; i++){      k2=func(p2)-fx;
     mi=0;    
     m=firstpass;      p2[thetai]=x[thetai]-delti[thetai]/k;
     while(s[m][i] <= nlstate){      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
       if(s[m][i]>=1)      k3=func(p2)-fx;
         mw[++mi][i]=m;    
       if(m >=lastpass)      p2[thetai]=x[thetai]-delti[thetai]/k;
         break;      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
       else      k4=func(p2)-fx;
         m++;      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
     }/* end while */  #ifdef DEBUG
     if (s[m][i] > nlstate){      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);
       mi++;     /* Death is another wave */      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);
       /* if(mi==0)  never been interviewed correctly before death */  #endif
          /* Only death is a correct wave */    }
       mw[mi][i]=m;    return res;
     }  }
   
     wav[i]=mi;  /************** Inverse of matrix **************/
     if(mi==0)  void ludcmp(double **a, int n, int *indx, double *d) 
       printf("Warning, no any valid information for:%d line=%d\n",num[i],i);  { 
   }    int i,imax,j,k; 
     double big,dum,sum,temp; 
   for(i=1; i<=imx; i++){    double *vv; 
     for(mi=1; mi<wav[i];mi++){   
       if (stepm <=0)    vv=vector(1,n); 
         dh[mi][i]=1;    *d=1.0; 
       else{    for (i=1;i<=n;i++) { 
         if (s[mw[mi+1][i]][i] > nlstate) {      big=0.0; 
           if (agedc[i] < 2*AGESUP) {      for (j=1;j<=n;j++) 
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);        if ((temp=fabs(a[i][j])) > big) big=temp; 
           if(j==0) j=1;  /* Survives at least one month after exam */      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
           k=k+1;      vv[i]=1.0/big; 
           if (j >= jmax) jmax=j;    } 
           if (j <= jmin) jmin=j;    for (j=1;j<=n;j++) { 
           sum=sum+j;      for (i=1;i<j;i++) { 
           /* if (j<10) printf("j=%d num=%d ",j,i); */        sum=a[i][j]; 
           }        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
         }        a[i][j]=sum; 
         else{      } 
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));      big=0.0; 
           k=k+1;      for (i=j;i<=n;i++) { 
           if (j >= jmax) jmax=j;        sum=a[i][j]; 
           else if (j <= jmin)jmin=j;        for (k=1;k<j;k++) 
           /*   if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */          sum -= a[i][k]*a[k][j]; 
           sum=sum+j;        a[i][j]=sum; 
         }        if ( (dum=vv[i]*fabs(sum)) >= big) { 
         jk= j/stepm;          big=dum; 
         jl= j -jk*stepm;          imax=i; 
         ju= j -(jk+1)*stepm;        } 
         if(jl <= -ju)      } 
           dh[mi][i]=jk;      if (j != imax) { 
         else        for (k=1;k<=n;k++) { 
           dh[mi][i]=jk+1;          dum=a[imax][k]; 
         if(dh[mi][i]==0)          a[imax][k]=a[j][k]; 
           dh[mi][i]=1; /* At least one step */          a[j][k]=dum; 
       }        } 
     }        *d = -(*d); 
   }        vv[imax]=vv[j]; 
   jmean=sum/k;      } 
   printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);      indx[j]=imax; 
  }      if (a[j][j] == 0.0) a[j][j]=TINY; 
 /*********** Tricode ****************************/      if (j != n) { 
 void tricode(int *Tvar, int **nbcode, int imx)        dum=1.0/(a[j][j]); 
 {        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
   int Ndum[20],ij=1, k, j, i;      } 
   int cptcode=0;    } 
   cptcoveff=0;    free_vector(vv,1,n);  /* Doesn't work */
    ;
   for (k=0; k<19; k++) Ndum[k]=0;  } 
   for (k=1; k<=7; k++) ncodemax[k]=0;  
   void lubksb(double **a, int n, int *indx, double b[]) 
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {  { 
     for (i=1; i<=imx; i++) {    int i,ii=0,ip,j; 
       ij=(int)(covar[Tvar[j]][i]);    double sum; 
       Ndum[ij]++;   
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/    for (i=1;i<=n;i++) { 
       if (ij > cptcode) cptcode=ij;      ip=indx[i]; 
     }      sum=b[ip]; 
       b[ip]=b[i]; 
     for (i=0; i<=cptcode; i++) {      if (ii) 
       if(Ndum[i]!=0) ncodemax[j]++;        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
     }      else if (sum) ii=i; 
     ij=1;      b[i]=sum; 
     } 
     for (i=n;i>=1;i--) { 
     for (i=1; i<=ncodemax[j]; i++) {      sum=b[i]; 
       for (k=0; k<=19; k++) {      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
         if (Ndum[k] != 0) {      b[i]=sum/a[i][i]; 
           nbcode[Tvar[j]][ij]=k;    } 
           ij++;  } 
         }  
         if (ij > ncodemax[j]) break;  /************ Frequencies ********************/
       }    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, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2)
     }  {  /* Some frequencies */
   }      
     int i, m, jk, k1,i1, j1, bool, z1,z2,j;
  for (k=0; k<19; k++) Ndum[k]=0;    int first;
     double ***freq; /* Frequencies */
  for (i=1; i<=ncovmodel-2; i++) {    double *pp, **prop;
       ij=Tvar[i];    double pos,posprop, k2, dateintsum=0,k2cpt=0;
       Ndum[ij]++;    FILE *ficresp;
     }    char fileresp[FILENAMELENGTH];
     
  ij=1;    pp=vector(1,nlstate);
  for (i=1; i<=10; i++) {    prop=matrix(1,nlstate,iagemin,iagemax+3);
    if((Ndum[i]!=0) && (i<=ncov)){    strcpy(fileresp,"p");
      Tvaraff[ij]=i;    strcat(fileresp,fileres);
      ij++;    if((ficresp=fopen(fileresp,"w"))==NULL) {
    }      printf("Problem with prevalence resultfile: %s\n", fileresp);
  }      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
        exit(0);
     cptcoveff=ij-1;    }
 }    freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);
     j1=0;
 /*********** Health Expectancies ****************/    
     j=cptcoveff;
 void evsij(char fileres[], double ***eij, double x[], int nlstate, int stepm, int bage, int fage, double **oldm, double **savm, int ij)    if (cptcovn<1) {j=1;ncodemax[1]=1;}
 {  
   /* Health expectancies */    first=1;
   int i, j, nhstepm, hstepm, h;  
   double age, agelim,hf;    for(k1=1; k1<=j;k1++){
   double ***p3mat;      for(i1=1; i1<=ncodemax[k1];i1++){
          j1++;
   fprintf(ficreseij,"# Health expectancies\n");        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
   fprintf(ficreseij,"# Age");          scanf("%d", i);*/
   for(i=1; i<=nlstate;i++)        for (i=-1; i<=nlstate+ndeath; i++)  
     for(j=1; j<=nlstate;j++)          for (jk=-1; jk<=nlstate+ndeath; jk++)  
       fprintf(ficreseij," %1d-%1d",i,j);            for(m=iagemin; m <= iagemax+3; m++)
   fprintf(ficreseij,"\n");              freq[i][jk][m]=0;
   
   hstepm=1*YEARM; /*  Every j years of age (in month) */      for (i=1; i<=nlstate; i++)  
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */        for(m=iagemin; m <= iagemax+3; m++)
           prop[i][m]=0;
   agelim=AGESUP;        
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */        dateintsum=0;
     /* nhstepm age range expressed in number of stepm */        k2cpt=0;
     nhstepm=(int) rint((agelim-age)*YEARM/stepm);        for (i=1; i<=imx; i++) {
     /* Typically if 20 years = 20*12/6=40 stepm */          bool=1;
     if (stepm >= YEARM) hstepm=1;          if  (cptcovn>0) {
     nhstepm = nhstepm/hstepm;/* Expressed in hstepm, typically 40/4=10 */            for (z1=1; z1<=cptcoveff; z1++) 
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
     /* Computed by stepm unit matrices, product of hstepm matrices, stored                bool=0;
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */          }
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);            if (bool==1){
             for(m=firstpass; m<=lastpass; m++){
               k2=anint[m][i]+(mint[m][i]/12.);
     for(i=1; i<=nlstate;i++)              if ((k2>=dateprev1) && (k2<=dateprev2)) {
       for(j=1; j<=nlstate;j++)                if(agev[m][i]==0) agev[m][i]=iagemax+1;
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm; h++){                if(agev[m][i]==1) agev[m][i]=iagemax+2;
           eij[i][j][(int)age] +=p3mat[i][j][h];                if (s[m][i]>0 && s[m][i]<=nlstate) prop[s[m][i]][(int)agev[m][i]] += weight[i];
         }                if (m<lastpass) {
                      freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
     hf=1;                  freq[s[m][i]][s[m+1][i]][iagemax+3] += weight[i];
     if (stepm >= YEARM) hf=stepm/YEARM;                }
     fprintf(ficreseij,"%.0f",age );                
     for(i=1; i<=nlstate;i++)                if ((agev[m][i]>1) && (agev[m][i]< (iagemax+3))) {
       for(j=1; j<=nlstate;j++){                  dateintsum=dateintsum+k2;
         fprintf(ficreseij," %.4f", hf*eij[i][j][(int)age]);                  k2cpt++;
       }                }
     fprintf(ficreseij,"\n");              }
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);            }
   }          }
 }        }
          
 /************ Variance ******************/        fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);
 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)  
 {        if  (cptcovn>0) {
   /* Variance of health expectancies */          fprintf(ficresp, "\n#********** Variable "); 
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
   double **newm;          fprintf(ficresp, "**********\n#");
   double **dnewm,**doldm;        }
   int i, j, nhstepm, hstepm, h;        for(i=1; i<=nlstate;i++) 
   int k, cptcode;          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
   double *xp;        fprintf(ficresp, "\n");
   double **gp, **gm;        
   double ***gradg, ***trgradg;        for(i=iagemin; i <= iagemax+3; i++){
   double ***p3mat;          if(i==iagemax+3){
   double age,agelim;            fprintf(ficlog,"Total");
   int theta;          }else{
             if(first==1){
    fprintf(ficresvij,"# Covariances of life expectancies\n");              first=0;
   fprintf(ficresvij,"# Age");              printf("See log file for details...\n");
   for(i=1; i<=nlstate;i++)            }
     for(j=1; j<=nlstate;j++)            fprintf(ficlog,"Age %d", i);
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);          }
   fprintf(ficresvij,"\n");          for(jk=1; jk <=nlstate ; jk++){
             for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
   xp=vector(1,npar);              pp[jk] += freq[jk][m][i]; 
   dnewm=matrix(1,nlstate,1,npar);          }
   doldm=matrix(1,nlstate,1,nlstate);          for(jk=1; jk <=nlstate ; jk++){
              for(m=-1, pos=0; m <=0 ; m++)
   hstepm=1*YEARM; /* Every year of age */              pos += freq[jk][m][i];
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */            if(pp[jk]>=1.e-10){
   agelim = AGESUP;              if(first==1){
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */              }
     if (stepm >= YEARM) hstepm=1;              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */            }else{
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);              if(first==1)
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     gp=matrix(0,nhstepm,1,nlstate);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
     gm=matrix(0,nhstepm,1,nlstate);            }
           }
     for(theta=1; theta <=npar; theta++){  
       for(i=1; i<=npar; i++){ /* Computes gradient */          for(jk=1; jk <=nlstate ; jk++){
         xp[i] = x[i] + (i==theta ?delti[theta]:0);            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
       }              pp[jk] += freq[jk][m][i];
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            }       
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          for(jk=1,pos=0,posprop=0; jk <=nlstate ; jk++){
             pos += pp[jk];
       if (popbased==1) {            posprop += prop[jk][i];
         for(i=1; i<=nlstate;i++)          }
           prlim[i][i]=probs[(int)age][i][ij];          for(jk=1; jk <=nlstate ; jk++){
       }            if(pos>=1.e-5){
                    if(first==1)
       for(j=1; j<= nlstate; j++){                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
         for(h=0; h<=nhstepm; h++){              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)            }else{
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];              if(first==1)
         }                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
       }              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
                }
       for(i=1; i<=npar; i++) /* Computes gradient */            if( i <= iagemax){
         xp[i] = x[i] - (i==theta ?delti[theta]:0);              if(pos>=1.e-5){
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);                  fprintf(ficresp," %d %.5f %.0f %.0f",i,prop[jk][i]/posprop, prop[jk][i],posprop);
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);                probs[i][jk][j1]= pp[jk]/pos;
                 /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
       if (popbased==1) {              }
         for(i=1; i<=nlstate;i++)              else
           prlim[i][i]=probs[(int)age][i][ij];                fprintf(ficresp," %d NaNq %.0f %.0f",i,prop[jk][i],posprop);
       }            }
           }
       for(j=1; j<= nlstate; j++){          
         for(h=0; h<=nhstepm; h++){          for(jk=-1; jk <=nlstate+ndeath; jk++)
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)            for(m=-1; m <=nlstate+ndeath; m++)
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];              if(freq[jk][m][i] !=0 ) {
         }              if(first==1)
       }                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
                 fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
       for(j=1; j<= nlstate; j++)              }
         for(h=0; h<=nhstepm; h++){          if(i <= iagemax)
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];            fprintf(ficresp,"\n");
         }          if(first==1)
     } /* End theta */            printf("Others in log...\n");
           fprintf(ficlog,"\n");
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar);        }
       }
     for(h=0; h<=nhstepm; h++)    }
       for(j=1; j<=nlstate;j++)    dateintmean=dateintsum/k2cpt; 
         for(theta=1; theta <=npar; theta++)   
           trgradg[h][j][theta]=gradg[h][theta][j];    fclose(ficresp);
     free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);
     for(i=1;i<=nlstate;i++)    free_vector(pp,1,nlstate);
       for(j=1;j<=nlstate;j++)    free_matrix(prop,1,nlstate,iagemin, iagemax+3);
         vareij[i][j][(int)age] =0.;    /* End of Freq */
     for(h=0;h<=nhstepm;h++){  }
       for(k=0;k<=nhstepm;k++){  
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);  /************ Prevalence ********************/
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);  void prevalence(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)
         for(i=1;i<=nlstate;i++)  {  
           for(j=1;j<=nlstate;j++)    /* Compute observed prevalence between dateprev1 and dateprev2 by counting the number of people
             vareij[i][j][(int)age] += doldm[i][j];       in each health status at the date of interview (if between dateprev1 and dateprev2).
       }       We still use firstpass and lastpass as another selection.
     }    */
     h=1;   
     if (stepm >= YEARM) h=stepm/YEARM;    int i, m, jk, k1, i1, j1, bool, z1,z2,j;
     fprintf(ficresvij,"%.0f ",age );    double ***freq; /* Frequencies */
     for(i=1; i<=nlstate;i++)    double *pp, **prop;
       for(j=1; j<=nlstate;j++){    double pos,posprop; 
         fprintf(ficresvij," %.4f", h*vareij[i][j][(int)age]);    double  y2; /* in fractional years */
       }    int iagemin, iagemax;
     fprintf(ficresvij,"\n");  
     free_matrix(gp,0,nhstepm,1,nlstate);    iagemin= (int) agemin;
     free_matrix(gm,0,nhstepm,1,nlstate);    iagemax= (int) agemax;
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);    /*pp=vector(1,nlstate);*/
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);    prop=matrix(1,nlstate,iagemin,iagemax+3); 
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    /*  freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,iagemin,iagemax+3);*/
   } /* End age */    j1=0;
      
   free_vector(xp,1,npar);    j=cptcoveff;
   free_matrix(doldm,1,nlstate,1,npar);    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   free_matrix(dnewm,1,nlstate,1,nlstate);    
     for(k1=1; k1<=j;k1++){
 }      for(i1=1; i1<=ncodemax[k1];i1++){
         j1++;
 /************ 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<=nlstate; i++)  
 {          for(m=iagemin; m <= iagemax+3; m++)
   /* Variance of prevalence limit */            prop[i][m]=0.0;
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/       
   double **newm;        for (i=1; i<=imx; i++) { /* Each individual */
   double **dnewm,**doldm;          bool=1;
   int i, j, nhstepm, hstepm;          if  (cptcovn>0) {
   int k, cptcode;            for (z1=1; z1<=cptcoveff; z1++) 
   double *xp;              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
   double *gp, *gm;                bool=0;
   double **gradg, **trgradg;          } 
   double age,agelim;          if (bool==1) { 
   int theta;            for(m=firstpass; m<=lastpass; m++){/* Other selection (we can limit to certain interviews*/
                  y2=anint[m][i]+(mint[m][i]/12.); /* Fractional date in year */
   fprintf(ficresvpl,"# Standard deviation of prevalences limit\n");              if ((y2>=dateprev1) && (y2<=dateprev2)) { /* Here is the main selection (fractional years) */
   fprintf(ficresvpl,"# Age");                if(agev[m][i]==0) agev[m][i]=iagemax+1;
   for(i=1; i<=nlstate;i++)                if(agev[m][i]==1) agev[m][i]=iagemax+2;
       fprintf(ficresvpl," %1d-%1d",i,i);                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); 
   fprintf(ficresvpl,"\n");                if (s[m][i]>0 && s[m][i]<=nlstate) { 
                   /*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]]);*/
   xp=vector(1,npar);                  prop[s[m][i]][(int)agev[m][i]] += weight[i];
   dnewm=matrix(1,nlstate,1,npar);                  prop[s[m][i]][iagemax+3] += weight[i]; 
   doldm=matrix(1,nlstate,1,nlstate);                } 
                }
   hstepm=1*YEARM; /* Every year of age */            } /* end selection of waves */
   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 */        for(i=iagemin; i <= iagemax+3; i++){  
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          
     if (stepm >= YEARM) hstepm=1;          for(jk=1,posprop=0; jk <=nlstate ; jk++) { 
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */            posprop += prop[jk][i]; 
     gradg=matrix(1,npar,1,nlstate);          } 
     gp=vector(1,nlstate);  
     gm=vector(1,nlstate);          for(jk=1; jk <=nlstate ; jk++){     
             if( i <=  iagemax){ 
     for(theta=1; theta <=npar; theta++){              if(posprop>=1.e-5){ 
       for(i=1; i<=npar; i++){ /* Computes gradient */                probs[i][jk][j1]= prop[jk][i]/posprop;
         xp[i] = x[i] + (i==theta ?delti[theta]:0);              } 
       }            } 
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);          }/* end jk */ 
       for(i=1;i<=nlstate;i++)        }/* end i */ 
         gp[i] = prlim[i][i];      } /* end i1 */
        } /* end k1 */
       for(i=1; i<=npar; i++) /* Computes gradient */    
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    /*  free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath, iagemin, iagemax+3);*/
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /*free_vector(pp,1,nlstate);*/
       for(i=1;i<=nlstate;i++)    free_matrix(prop,1,nlstate, iagemin,iagemax+3);
         gm[i] = prlim[i][i];  }  /* End of prevalence */
   
       for(i=1;i<=nlstate;i++)  /************* Waves Concatenation ***************/
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];  
     } /* End theta */  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)
   {
     trgradg =matrix(1,nlstate,1,npar);    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
        Death is a valid wave (if date is known).
     for(j=1; j<=nlstate;j++)       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
       for(theta=1; theta <=npar; theta++)       dh[m][i] or dh[mw[mi][i]][i] is the delay between two effective waves m=mw[mi][i]
         trgradg[j][theta]=gradg[theta][j];       and mw[mi+1][i]. dh depends on stepm.
        */
     for(i=1;i<=nlstate;i++)  
       varpl[i][(int)age] =0.;    int i, mi, m;
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);       double sum=0., jmean=0.;*/
     for(i=1;i<=nlstate;i++)    int first;
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */    int j, k=0,jk, ju, jl;
     double sum=0.;
     fprintf(ficresvpl,"%.0f ",age );    first=0;
     for(i=1; i<=nlstate;i++)    jmin=1e+5;
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));    jmax=-1;
     fprintf(ficresvpl,"\n");    jmean=0.;
     free_vector(gp,1,nlstate);    for(i=1; i<=imx; i++){
     free_vector(gm,1,nlstate);      mi=0;
     free_matrix(gradg,1,npar,1,nlstate);      m=firstpass;
     free_matrix(trgradg,1,nlstate,1,npar);      while(s[m][i] <= nlstate){
   } /* End age */        if(s[m][i]>=1)
           mw[++mi][i]=m;
   free_vector(xp,1,npar);        if(m >=lastpass)
   free_matrix(doldm,1,nlstate,1,npar);          break;
   free_matrix(dnewm,1,nlstate,1,nlstate);        else
           m++;
 }      }/* end while */
       if (s[m][i] > nlstate){
 /************ Variance of one-step probabilities  ******************/        mi++;     /* Death is another wave */
 void varprob(char fileres[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij)        /* if(mi==0)  never been interviewed correctly before death */
 {           /* Only death is a correct wave */
   int i, j;        mw[mi][i]=m;
   int k=0, cptcode;      }
   double **dnewm,**doldm;  
   double *xp;      wav[i]=mi;
   double *gp, *gm;      if(mi==0){
   double **gradg, **trgradg;        if(first==0){
   double age,agelim, cov[NCOVMAX];          printf("Warning, no any valid information for:%d line=%d and may be others, see log file\n",num[i],i);
   int theta;          first=1;
   char fileresprob[FILENAMELENGTH];        }
         if(first==1){
   strcpy(fileresprob,"prob");          fprintf(ficlog,"Warning, no any valid information for:%d line=%d\n",num[i],i);
   strcat(fileresprob,fileres);        }
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {      } /* end mi==0 */
     printf("Problem with resultfile: %s\n", fileresprob);    }
   }  
   printf("Computing variance of one-step probabilities: result on file '%s' \n",fileresprob);    for(i=1; i<=imx; i++){
        for(mi=1; mi<wav[i];mi++){
         if (stepm <=0)
   xp=vector(1,npar);          dh[mi][i]=1;
   dnewm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        else{
   doldm=matrix(1,(nlstate+ndeath)*(nlstate+ndeath),1,(nlstate+ndeath)*(nlstate+ndeath));          if (s[mw[mi+1][i]][i] > nlstate) {
              if (agedc[i] < 2*AGESUP) {
   cov[1]=1;            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
   for (age=bage; age<=fage; age ++){            if(j==0) j=1;  /* Survives at least one month after exam */
     cov[2]=age;            k=k+1;
     gradg=matrix(1,npar,1,9);            if (j >= jmax) jmax=j;
     trgradg=matrix(1,9,1,npar);            if (j <= jmin) jmin=j;
     gp=vector(1,(nlstate+ndeath)*(nlstate+ndeath));            sum=sum+j;
     gm=vector(1,(nlstate+ndeath)*(nlstate+ndeath));            /*if (j<0) printf("j=%d num=%d \n",j,i); */
                /*      printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
     for(theta=1; theta <=npar; theta++){            /*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]);*/
       for(i=1; i<=npar; i++)            }
         xp[i] = x[i] + (i==theta ?delti[theta]:0);          }
                else{
       pmij(pmmij,cov,ncovmodel,xp,nlstate);            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
                /*      printf("%d %d %d %d\n", s[mw[mi][i]][i] ,s[mw[mi+1][i]][i],j,i);*/
       k=0;            k=k+1;
       for(i=1; i<= (nlstate+ndeath); i++){            if (j >= jmax) jmax=j;
         for(j=1; j<=(nlstate+ndeath);j++){            else if (j <= jmin)jmin=j;
            k=k+1;            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
           gp[k]=pmmij[i][j];            /*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]);*/
         }            sum=sum+j;
       }          }
           jk= j/stepm;
       for(i=1; i<=npar; i++)          jl= j -jk*stepm;
         xp[i] = x[i] - (i==theta ?delti[theta]:0);          ju= j -(jk+1)*stepm;
              if(mle <=1){ 
             if(jl==0){
       pmij(pmmij,cov,ncovmodel,xp,nlstate);              dh[mi][i]=jk;
       k=0;              bh[mi][i]=0;
       for(i=1; i<=(nlstate+ndeath); i++){            }else{ /* We want a negative bias in order to only have interpolation ie
         for(j=1; j<=(nlstate+ndeath);j++){                    * at the price of an extra matrix product in likelihood */
           k=k+1;              dh[mi][i]=jk+1;
           gm[k]=pmmij[i][j];              bh[mi][i]=ju;
         }            }
       }          }else{
                  if(jl <= -ju){
        for(i=1; i<= (nlstate+ndeath)*(nlstate+ndeath); i++)              dh[mi][i]=jk;
            gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];                bh[mi][i]=jl;       /* bias is positive if real duration
     }                                   * is higher than the multiple of stepm and negative otherwise.
                                    */
      for(j=1; j<=(nlstate+ndeath)*(nlstate+ndeath);j++)            }
       for(theta=1; theta <=npar; theta++)            else{
       trgradg[j][theta]=gradg[theta][j];              dh[mi][i]=jk+1;
                bh[mi][i]=ju;
      matprod2(dnewm,trgradg,1,9,1,npar,1,npar,matcov);            }
      matprod2(doldm,dnewm,1,9,1,npar,1,9,gradg);            if(dh[mi][i]==0){
               dh[mi][i]=1; /* At least one step */
      pmij(pmmij,cov,ncovmodel,x,nlstate);              bh[mi][i]=ju; /* At least one step */
               /*  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);*/
      k=0;            }
      for(i=1; i<=(nlstate+ndeath); i++){          }
        for(j=1; j<=(nlstate+ndeath);j++){        } /* end if mle */
          k=k+1;      } /* end wave */
          gm[k]=pmmij[i][j];    }
         }    jmean=sum/k;
      }    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);
      /*printf("\n%d ",(int)age);   }
      for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){  
          /*********** Tricode ****************************/
   void tricode(int *Tvar, int **nbcode, int imx)
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));  {
      }*/    
     int Ndum[20],ij=1, k, j, i, maxncov=19;
   fprintf(ficresprob,"\n%d ",(int)age);    int cptcode=0;
     cptcoveff=0; 
   for (i=1; i<=(nlstate+ndeath)*(nlstate+ndeath-1);i++){   
     if (i== 2) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    for (k=0; k<maxncov; k++) Ndum[k]=0;
 if (i== 4) fprintf(ficresprob,"%.3e %.3e ",gm[i],doldm[i][i]);    for (k=1; k<=7; k++) ncodemax[k]=0;
   }  
     for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));      for (i=1; i<=imx; i++) { /*reads the data file to get the maximum 
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));                                 modality*/ 
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        ij=(int)(covar[Tvar[j]][i]); /* ij is the modality of this individual*/
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);        Ndum[ij]++; /*store the modality */
 }        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
  free_vector(xp,1,npar);        if (ij > cptcode) cptcode=ij; /* getting the maximum of covariable 
 fclose(ficresprob);                                         Tvar[j]. If V=sex and male is 0 and 
  exit(0);                                         female is 1, then  cptcode=1.*/
 }      }
   
 /***********************************************/      for (i=0; i<=cptcode; i++) {
 /**************** Main Program *****************/        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 */
 /***********************************************/      }
   
 /*int main(int argc, char *argv[])*/      ij=1; 
 int main()      for (i=1; i<=ncodemax[j]; i++) {
 {        for (k=0; k<= maxncov; k++) {
           if (Ndum[k] != 0) {
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;            nbcode[Tvar[j]][ij]=k; 
   double agedeb, agefin,hf;            /* 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; */
   double agemin=1.e20, agemax=-1.e20;            
             ij++;
   double fret;          }
   double **xi,tmp,delta;          if (ij > ncodemax[j]) break; 
         }  
   double dum; /* Dummy variable */      } 
   double ***p3mat;    }  
   int *indx;  
   char line[MAXLINE], linepar[MAXLINE];   for (k=0; k< maxncov; k++) Ndum[k]=0;
   char title[MAXLINE];  
   char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];   for (i=1; i<=ncovmodel-2; i++) { 
   char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], fileresf[FILENAMELENGTH];     /* Listing of all covariables in staement model to see if some covariates appear twice. For example, V1 appears twice in V1+V1*V2.*/
   char filerest[FILENAMELENGTH];     ij=Tvar[i];
   char fileregp[FILENAMELENGTH];     Ndum[ij]++;
   char popfile[FILENAMELENGTH];   }
   char path[80],pathc[80],pathcd[80],pathtot[80],model[20];  
   int firstobs=1, lastobs=10;   ij=1;
   int sdeb, sfin; /* Status at beginning and end */   for (i=1; i<= maxncov; i++) {
   int c,  h , cpt,l;     if((Ndum[i]!=0) && (i<=ncovcol)){
   int ju,jl, mi;       Tvaraff[ij]=i; /*For printing */
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;       ij++;
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;     }
   int mobilav=0, fprev, lprev ,fprevfore=1, lprevfore=1,nforecast,popforecast=0;   }
   int hstepm, nhstepm;   
   int *popage;   cptcoveff=ij-1; /*Number of simple covariates*/
   }
   double bage, fage, age, agelim, agebase;  
   double ftolpl=FTOL;  /*********** Health Expectancies ****************/
   double **prlim;  
   double *severity;  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 )
   double ***param; /* Matrix of parameters */  
   double  *p;  {
   double **matcov; /* Matrix of covariance */    /* Health expectancies */
   double ***delti3; /* Scale */    int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
   double *delti; /* Scale */    double age, agelim, hf;
   double ***eij, ***vareij;    double ***p3mat,***varhe;
   double **varpl; /* Variances of prevalence limits by age */    double **dnewm,**doldm;
   double *epj, vepp;    double *xp;
   double kk1, kk2;    double **gp, **gm;
   double *popeffectif,*popcount;    double ***gradg, ***trgradg;
     int theta;
   char version[80]="Imach version 64b, May 2001, INED-EUROREVES ";  
   char *alph[]={"a","a","b","c","d","e"}, str[4];    varhe=ma3x(1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int) fage);
     xp=vector(1,npar);
     dnewm=matrix(1,nlstate*nlstate,1,npar);
   char z[1]="c", occ;    doldm=matrix(1,nlstate*nlstate,1,nlstate*nlstate);
 #include <sys/time.h>    
 #include <time.h>    fprintf(ficreseij,"# Health expectancies\n");
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];    fprintf(ficreseij,"# Age");
   /* long total_usecs;    for(i=1; i<=nlstate;i++)
   struct timeval start_time, end_time;      for(j=1; j<=nlstate;j++)
          fprintf(ficreseij," %1d-%1d (SE)",i,j);
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */    fprintf(ficreseij,"\n");
   
     if(estepm < stepm){
   printf("\nIMACH, Version 0.7");      printf ("Problem %d lower than %d\n",estepm, stepm);
   printf("\nEnter the parameter file name: ");    }
     else  hstepm=estepm;   
 #ifdef windows    /* We compute the life expectancy from trapezoids spaced every estepm months
   scanf("%s",pathtot);     * This is mainly to measure the difference between two models: for example
   getcwd(pathcd, size);     * if stepm=24 months pijx are given only every 2 years and by summing them
   /*cygwin_split_path(pathtot,path,optionfile);     * we are calculating an estimate of the Life Expectancy assuming a linear 
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/     * progression in between and thus overestimating or underestimating according
   /* cutv(path,optionfile,pathtot,'\\');*/     * 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
 split(pathtot, path,optionfile);     * to compare the new estimate of Life expectancy with the same linear 
   chdir(path);     * hypothesis. A more precise result, taking into account a more precise
   replace(pathc,path);     * curvature will be obtained if estepm is as small as stepm. */
 #endif  
 #ifdef unix    /* For example we decided to compute the life expectancy with the smallest unit */
   scanf("%s",optionfile);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
 #endif       nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
 /*-------- arguments in the command line --------*/       Look at hpijx to understand the reason of that which relies in memory size
        and note for a fixed period like estepm months */
   strcpy(fileres,"r");    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
   strcat(fileres, optionfile);       survival function given by stepm (the optimization length). Unfortunately it
        means that if the survival funtion is printed only each two years of age and if
   /*---------arguments file --------*/       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
        results. So we changed our mind and took the option of the best precision.
   if((ficpar=fopen(optionfile,"r"))==NULL)    {    */
     printf("Problem with optionfile %s\n",optionfile);    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
     goto end;  
   }    agelim=AGESUP;
     for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
   strcpy(filereso,"o");      /* nhstepm age range expressed in number of stepm */
   strcat(filereso,fileres);      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
   if((ficparo=fopen(filereso,"w"))==NULL) {      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     printf("Problem with Output resultfile: %s\n", filereso);goto end;      /* 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);
   /* Reads comments: lines beginning with '#' */      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*nlstate);
   while((c=getc(ficpar))=='#' && c!= EOF){      gp=matrix(0,nhstepm,1,nlstate*nlstate);
     ungetc(c,ficpar);      gm=matrix(0,nhstepm,1,nlstate*nlstate);
     fgets(line, MAXLINE, ficpar);  
     puts(line);      /* Computed by stepm unit matrices, product of hstepm matrices, stored
     fputs(line,ficparo);         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
   }      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
   ungetc(c,ficpar);   
   
   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);      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
   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);      /* Computing Variances of health expectancies */
 while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);       for(theta=1; theta <=npar; theta++){
     fgets(line, MAXLINE, ficpar);        for(i=1; i<=npar; i++){ 
     puts(line);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
     fputs(line,ficparo);        }
   }        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
   ungetc(c,ficpar);    
          cptj=0;
   fscanf(ficpar,"fprevalence=%d lprevalence=%d pop_based=%d\n",&fprev,&lprev,&popbased);        for(j=1; j<= nlstate; j++){
   fprintf(ficparo,"fprevalence=%d lprevalence=%d pop_based=%d\n",fprev,lprev,popbased);          for(i=1; i<=nlstate; i++){
              cptj=cptj+1;
  while((c=getc(ficpar))=='#' && c!= EOF){            for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
     ungetc(c,ficpar);              gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
     fgets(line, MAXLINE, ficpar);            }
     puts(line);          }
     fputs(line,ficparo);        }
   }       
   ungetc(c,ficpar);       
          for(i=1; i<=npar; i++) 
   fscanf(ficpar,"fprevalence=%d lprevalence=%d nforecast=%d mob_average=%d\n",&fprevfore,&lprevfore,&nforecast,&mobilav);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
   fprintf(ficparo,"fprevalence=%d lprevalence=%d nforecast=%d mob_average=%d\n",fprevfore,lprevfore,nforecast,mobilav);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
              
          cptj=0;
 while((c=getc(ficpar))=='#' && c!= EOF){        for(j=1; j<= nlstate; j++){
     ungetc(c,ficpar);          for(i=1;i<=nlstate;i++){
     fgets(line, MAXLINE, ficpar);            cptj=cptj+1;
     puts(line);            for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
     fputs(line,ficparo);              gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
   }            }
   ungetc(c,ficpar);          }
          }
   fscanf(ficpar,"popforecast=%d popfile=%s\n",&popforecast,popfile);        for(j=1; j<= nlstate*nlstate; j++)
            for(h=0; h<=nhstepm-1; h++){
   covar=matrix(0,NCOVMAX,1,n);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
   cptcovn=0;          }
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;       } 
      
   ncovmodel=2+cptcovn;  /* End theta */
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */  
         trgradg =ma3x(0,nhstepm,1,nlstate*nlstate,1,npar);
   /* Read guess parameters */  
   /* Reads comments: lines beginning with '#' */       for(h=0; h<=nhstepm-1; h++)
   while((c=getc(ficpar))=='#' && c!= EOF){        for(j=1; j<=nlstate*nlstate;j++)
     ungetc(c,ficpar);          for(theta=1; theta <=npar; theta++)
     fgets(line, MAXLINE, ficpar);            trgradg[h][j][theta]=gradg[h][theta][j];
     puts(line);       
     fputs(line,ficparo);  
   }       for(i=1;i<=nlstate*nlstate;i++)
   ungetc(c,ficpar);        for(j=1;j<=nlstate*nlstate;j++)
            varhe[i][j][(int)age] =0.;
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);  
     for(i=1; i <=nlstate; i++)       printf("%d|",(int)age);fflush(stdout);
     for(j=1; j <=nlstate+ndeath-1; j++){       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
       fscanf(ficpar,"%1d%1d",&i1,&j1);       for(h=0;h<=nhstepm-1;h++){
       fprintf(ficparo,"%1d%1d",i1,j1);        for(k=0;k<=nhstepm-1;k++){
       printf("%1d%1d",i,j);          matprod2(dnewm,trgradg[h],1,nlstate*nlstate,1,npar,1,npar,matcov);
       for(k=1; k<=ncovmodel;k++){          matprod2(doldm,dnewm,1,nlstate*nlstate,1,npar,1,nlstate*nlstate,gradg[k]);
         fscanf(ficpar," %lf",&param[i][j][k]);          for(i=1;i<=nlstate*nlstate;i++)
         printf(" %lf",param[i][j][k]);            for(j=1;j<=nlstate*nlstate;j++)
         fprintf(ficparo," %lf",param[i][j][k]);              varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
       }        }
       fscanf(ficpar,"\n");      }
       printf("\n");      /* Computing expectancies */
       fprintf(ficparo,"\n");      for(i=1; i<=nlstate;i++)
     }        for(j=1; j<=nlstate;j++)
            for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
             
   p=param[1][1];  /* 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]);*/
    
   /* Reads comments: lines beginning with '#' */          }
   while((c=getc(ficpar))=='#' && c!= EOF){  
     ungetc(c,ficpar);      fprintf(ficreseij,"%3.0f",age );
     fgets(line, MAXLINE, ficpar);      cptj=0;
     puts(line);      for(i=1; i<=nlstate;i++)
     fputs(line,ficparo);        for(j=1; j<=nlstate;j++){
   }          cptj++;
   ungetc(c,ficpar);          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
         }
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      fprintf(ficreseij,"\n");
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */     
   for(i=1; i <=nlstate; i++){      free_matrix(gm,0,nhstepm,1,nlstate*nlstate);
     for(j=1; j <=nlstate+ndeath-1; j++){      free_matrix(gp,0,nhstepm,1,nlstate*nlstate);
       fscanf(ficpar,"%1d%1d",&i1,&j1);      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*nlstate);
       printf("%1d%1d",i,j);      free_ma3x(trgradg,0,nhstepm,1,nlstate*nlstate,1,npar);
       fprintf(ficparo,"%1d%1d",i1,j1);      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
       for(k=1; k<=ncovmodel;k++){    }
         fscanf(ficpar,"%le",&delti3[i][j][k]);    printf("\n");
         printf(" %le",delti3[i][j][k]);    fprintf(ficlog,"\n");
         fprintf(ficparo," %le",delti3[i][j][k]);  
       }    free_vector(xp,1,npar);
       fscanf(ficpar,"\n");    free_matrix(dnewm,1,nlstate*nlstate,1,npar);
       printf("\n");    free_matrix(doldm,1,nlstate*nlstate,1,nlstate*nlstate);
       fprintf(ficparo,"\n");    free_ma3x(varhe,1,nlstate*nlstate,1,nlstate*nlstate,(int) bage, (int)fage);
     }  }
   }  
   delti=delti3[1][1];  /************ Variance ******************/
    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)
   /* Reads comments: lines beginning with '#' */  {
   while((c=getc(ficpar))=='#' && c!= EOF){    /* Variance of health expectancies */
     ungetc(c,ficpar);    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
     fgets(line, MAXLINE, ficpar);    /* double **newm;*/
     puts(line);    double **dnewm,**doldm;
     fputs(line,ficparo);    double **dnewmp,**doldmp;
   }    int i, j, nhstepm, hstepm, h, nstepm ;
   ungetc(c,ficpar);    int k, cptcode;
      double *xp;
   matcov=matrix(1,npar,1,npar);    double **gp, **gm;  /* for var eij */
   for(i=1; i <=npar; i++){    double ***gradg, ***trgradg; /*for var eij */
     fscanf(ficpar,"%s",&str);    double **gradgp, **trgradgp; /* for var p point j */
     printf("%s",str);    double *gpp, *gmp; /* for var p point j */
     fprintf(ficparo,"%s",str);    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
     for(j=1; j <=i; j++){    double ***p3mat;
       fscanf(ficpar," %le",&matcov[i][j]);    double age,agelim, hf;
       printf(" %.5le",matcov[i][j]);    double ***mobaverage;
       fprintf(ficparo," %.5le",matcov[i][j]);    int theta;
     }    char digit[4];
     fscanf(ficpar,"\n");    char digitp[25];
     printf("\n");  
     fprintf(ficparo,"\n");    char fileresprobmorprev[FILENAMELENGTH];
   }  
   for(i=1; i <=npar; i++)    if(popbased==1){
     for(j=i+1;j<=npar;j++)      if(mobilav!=0)
       matcov[i][j]=matcov[j][i];        strcpy(digitp,"-populbased-mobilav-");
          else strcpy(digitp,"-populbased-nomobil-");
   printf("\n");    }
     else 
       strcpy(digitp,"-stablbased-");
     /*-------- data file ----------*/  
     if((ficres =fopen(fileres,"w"))==NULL) {    if (mobilav!=0) {
       printf("Problem with resultfile: %s\n", fileres);goto end;      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     }      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
     fprintf(ficres,"#%s\n",version);        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
            printf(" Error in movingaverage mobilav=%d\n",mobilav);
     if((fic=fopen(datafile,"r"))==NULL)    {      }
       printf("Problem with datafile: %s\n", datafile);goto end;    }
     }  
     strcpy(fileresprobmorprev,"prmorprev"); 
     n= lastobs;    sprintf(digit,"%-d",ij);
     severity = vector(1,maxwav);    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     outcome=imatrix(1,maxwav+1,1,n);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
     num=ivector(1,n);    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     moisnais=vector(1,n);    strcat(fileresprobmorprev,fileres);
     annais=vector(1,n);    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
     moisdc=vector(1,n);      printf("Problem with resultfile: %s\n", fileresprobmorprev);
     andc=vector(1,n);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
     agedc=vector(1,n);    }
     cod=ivector(1,n);    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     weight=vector(1,n);    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */    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);
     mint=matrix(1,maxwav,1,n);    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
     anint=matrix(1,maxwav,1,n);    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
     s=imatrix(1,maxwav+1,1,n);      fprintf(ficresprobmorprev," p.%-d SE",j);
     adl=imatrix(1,maxwav+1,1,n);          for(i=1; i<=nlstate;i++)
     tab=ivector(1,NCOVMAX);        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
     ncodemax=ivector(1,8);    }  
     fprintf(ficresprobmorprev,"\n");
     i=1;    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
     while (fgets(line, MAXLINE, fic) != NULL)    {      printf("Problem with gnuplot file: %s\n", optionfilegnuplot);
       if ((i >= firstobs) && (i <=lastobs)) {      fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);
              exit(0);
         for (j=maxwav;j>=1;j--){    }
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);    else{
           strcpy(line,stra);      fprintf(ficgp,"\n# Routine varevsij");
           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);    if((fichtm=fopen(optionfilehtm,"a"))==NULL) {
         }      printf("Problem with html file: %s\n", optionfilehtm);
              fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);      exit(0);
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);    }
     else{
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);      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");
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);      fprintf(fichtm,"\n<br>%s  <br>\n",digitp);
     }
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);    varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
         for (j=ncov;j>=1;j--){  
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);    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");
         num[i]=atol(stra);    for(i=1; i<=nlstate;i++)
              for(j=1; j<=nlstate;j++)
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){        fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
           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;}*/    fprintf(ficresvij,"\n");
   
         i=i+1;    xp=vector(1,npar);
       }    dnewm=matrix(1,nlstate,1,npar);
     }    doldm=matrix(1,nlstate,1,nlstate);
     /* printf("ii=%d", ij);    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
        scanf("%d",i);*/    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   imx=i-1; /* Number of individuals */  
     gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
   /* for (i=1; i<=imx; i++){    gpp=vector(nlstate+1,nlstate+ndeath);
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;    gmp=vector(nlstate+1,nlstate+ndeath);
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;    
     }    if(estepm < stepm){
     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]));*/      printf ("Problem %d lower than %d\n",estepm, stepm);
     }
   /* Calculation of the number of parameter from char model*/    else  hstepm=estepm;   
   Tvar=ivector(1,15);    /* For example we decided to compute the life expectancy with the smallest unit */
   Tprod=ivector(1,15);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
   Tvaraff=ivector(1,15);       nhstepm is the number of hstepm from age to agelim 
   Tvard=imatrix(1,15,1,2);       nstepm is the number of stepm from age to agelin. 
   Tage=ivector(1,15);             Look at hpijx to understand the reason of that which relies in memory size
           and note for a fixed period like k years */
   if (strlen(model) >1){    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
     j=0, j1=0, k1=1, k2=1;       survival function given by stepm (the optimization length). Unfortunately it
     j=nbocc(model,'+');       means that if the survival funtion is printed every two years of age and if
     j1=nbocc(model,'*');       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
     cptcovn=j+1;       results. So we changed our mind and took the option of the best precision.
     cptcovprod=j1;    */
        hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
        agelim = AGESUP;
     strcpy(modelsav,model);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){      nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       printf("Error. Non available option model=%s ",model);      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
       goto end;      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     }      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
          gp=matrix(0,nhstepm,1,nlstate);
     for(i=(j+1); i>=1;i--){      gm=matrix(0,nhstepm,1,nlstate);
       cutv(stra,strb,modelsav,'+');  
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav);  
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/      for(theta=1; theta <=npar; theta++){
       /*scanf("%d",i);*/        for(i=1; i<=npar; i++){ /* Computes gradient x + delta*/
       if (strchr(strb,'*')) {          xp[i] = x[i] + (i==theta ?delti[theta]:0);
         cutv(strd,strc,strb,'*');        }
         if (strcmp(strc,"age")==0) {        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
           cptcovprod--;        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
           cutv(strb,stre,strd,'V');  
           Tvar[i]=atoi(stre);        if (popbased==1) {
           cptcovage++;          if(mobilav ==0){
             Tage[cptcovage]=i;            for(i=1; i<=nlstate;i++)
             /*printf("stre=%s ", stre);*/              prlim[i][i]=probs[(int)age][i][ij];
         }          }else{ /* mobilav */ 
         else if (strcmp(strd,"age")==0) {            for(i=1; i<=nlstate;i++)
           cptcovprod--;              prlim[i][i]=mobaverage[(int)age][i][ij];
           cutv(strb,stre,strc,'V');          }
           Tvar[i]=atoi(stre);        }
           cptcovage++;    
           Tage[cptcovage]=i;        for(j=1; j<= nlstate; j++){
         }          for(h=0; h<=nhstepm; h++){
         else {            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
           cutv(strb,stre,strc,'V');              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
           Tvar[i]=ncov+k1;          }
           cutv(strb,strc,strd,'V');        }
           Tprod[k1]=i;        /* This for computing probability of death (h=1 means
           Tvard[k1][1]=atoi(strc);           computed over hstepm matrices product = hstepm*stepm months) 
           Tvard[k1][2]=atoi(stre);           as a weighted average of prlim.
           Tvar[cptcovn+k2]=Tvard[k1][1];        */
           Tvar[cptcovn+k2+1]=Tvard[k1][2];        for(j=nlstate+1;j<=nlstate+ndeath;j++){
           for (k=1; k<=lastobs;k++)          for(i=1,gpp[j]=0.; i<= nlstate; i++)
             covar[ncov+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];            gpp[j] += prlim[i][i]*p3mat[i][j][1];
           k1++;        }    
           k2=k2+2;        /* end probability of death */
         }  
       }        for(i=1; i<=npar; i++) /* Computes gradient x - delta */
       else {          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
        /*  scanf("%d",i);*/        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       cutv(strd,strc,strb,'V');   
       Tvar[i]=atoi(strc);        if (popbased==1) {
       }          if(mobilav ==0){
       strcpy(modelsav,stra);              for(i=1; i<=nlstate;i++)
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);              prlim[i][i]=probs[(int)age][i][ij];
         scanf("%d",i);*/          }else{ /* mobilav */ 
     }            for(i=1; i<=nlstate;i++)
 }              prlim[i][i]=mobaverage[(int)age][i][ij];
            }
   /*printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);        }
   printf("cptcovprod=%d ", cptcovprod);  
   scanf("%d ",i);*/        for(j=1; j<= nlstate; j++){
     fclose(fic);          for(h=0; h<=nhstepm; h++){
             for(i=1, gm[h][j]=0.;i<=nlstate;i++)
     /*  if(mle==1){*/              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
     if (weightopt != 1) { /* Maximisation without weights*/          }
       for(i=1;i<=n;i++) weight[i]=1.0;        }
     }        /* This for computing probability of death (h=1 means
     /*-calculation of age at interview from date of interview and age at death -*/           computed over hstepm matrices product = hstepm*stepm months) 
     agev=matrix(1,maxwav,1,imx);           as a weighted average of prlim.
         */
    for (i=1; i<=imx; i++)        for(j=nlstate+1;j<=nlstate+ndeath;j++){
      for(m=2; (m<= maxwav); m++)          for(i=1,gmp[j]=0.; i<= nlstate; i++)
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){           gmp[j] += prlim[i][i]*p3mat[i][j][1];
          anint[m][i]=9999;        }    
          s[m][i]=-1;        /* end probability of death */
        }  
            for(j=1; j<= nlstate; j++) /* vareij */
     for (i=1; i<=imx; i++)  {          for(h=0; h<=nhstepm; h++){
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
       for(m=1; (m<= maxwav); m++){          }
         if(s[m][i] >0){  
           if (s[m][i] == nlstate+1) {        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
             if(agedc[i]>0)          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
               if(moisdc[i]!=99 && andc[i]!=9999)        }
               agev[m][i]=agedc[i];  
             else {      } /* End theta */
               if (andc[i]!=9999){  
               printf("Warning negative age at death: %d line:%d\n",num[i],i);      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
               agev[m][i]=-1;  
               }      for(h=0; h<=nhstepm; h++) /* veij */
             }        for(j=1; j<=nlstate;j++)
           }          for(theta=1; theta <=npar; theta++)
           else if(s[m][i] !=9){ /* Should no more exist */            trgradg[h][j][theta]=gradg[h][theta][j];
             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)      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
               agev[m][i]=1;        for(theta=1; theta <=npar; theta++)
             else if(agev[m][i] <agemin){          trgradgp[j][theta]=gradgp[theta][j];
               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);*/  
             }      hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
             else if(agev[m][i] >agemax){      for(i=1;i<=nlstate;i++)
               agemax=agev[m][i];        for(j=1;j<=nlstate;j++)
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/          vareij[i][j][(int)age] =0.;
             }  
             /*agev[m][i]=anint[m][i]-annais[i];*/      for(h=0;h<=nhstepm;h++){
             /*   agev[m][i] = age[i]+2*m;*/        for(k=0;k<=nhstepm;k++){
           }          matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
           else { /* =9 */          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
             agev[m][i]=1;          for(i=1;i<=nlstate;i++)
             s[m][i]=-1;            for(j=1;j<=nlstate;j++)
           }              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         }        }
         else /*= 0 Unknown */      }
           agev[m][i]=1;    
       }      /* pptj */
          matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
     }      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
     for (i=1; i<=imx; i++)  {      for(j=nlstate+1;j<=nlstate+ndeath;j++)
       for(m=1; (m<= maxwav); m++){        for(i=nlstate+1;i<=nlstate+ndeath;i++)
         if (s[m][i] > (nlstate+ndeath)) {          varppt[j][i]=doldmp[j][i];
           printf("Error: Wrong value in nlstate or ndeath\n");        /* end ppptj */
           goto end;      /*  x centered again */
         }      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
       }      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
     }   
       if (popbased==1) {
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);        if(mobilav ==0){
           for(i=1; i<=nlstate;i++)
     free_vector(severity,1,maxwav);            prlim[i][i]=probs[(int)age][i][ij];
     free_imatrix(outcome,1,maxwav+1,1,n);        }else{ /* mobilav */ 
     free_vector(moisnais,1,n);          for(i=1; i<=nlstate;i++)
     free_vector(annais,1,n);            prlim[i][i]=mobaverage[(int)age][i][ij];
     /* free_matrix(mint,1,maxwav,1,n);        }
        free_matrix(anint,1,maxwav,1,n);*/      }
     free_vector(moisdc,1,n);               
     free_vector(andc,1,n);      /* This for computing probability of death (h=1 means
          computed over hstepm (estepm) matrices product = hstepm*stepm months) 
             as a weighted average of prlim.
     wav=ivector(1,imx);      */
     dh=imatrix(1,lastpass-firstpass+1,1,imx);      for(j=nlstate+1;j<=nlstate+ndeath;j++){
     mw=imatrix(1,lastpass-firstpass+1,1,imx);        for(i=1,gmp[j]=0.;i<= nlstate; i++) 
              gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
     /* Concatenates waves */      }    
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);      /* end probability of death */
   
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
       Tcode=ivector(1,100);      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
       ncodemax[1]=1;        for(i=1; i<=nlstate;i++){
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);          fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
              }
    codtab=imatrix(1,100,1,10);      } 
    h=0;      fprintf(ficresprobmorprev,"\n");
    m=pow(2,cptcoveff);  
        fprintf(ficresvij,"%.0f ",age );
    for(k=1;k<=cptcoveff; k++){      for(i=1; i<=nlstate;i++)
      for(i=1; i <=(m/pow(2,k));i++){        for(j=1; j<=nlstate;j++){
        for(j=1; j <= ncodemax[k]; j++){          fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
          for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){        }
            h++;      fprintf(ficresvij,"\n");
            if (h>m) h=1;codtab[h][k]=j;      free_matrix(gp,0,nhstepm,1,nlstate);
          }      free_matrix(gm,0,nhstepm,1,nlstate);
        }      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
      }      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
    }      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
        } /* End age */
    /* Calculates basic frequencies. Computes observed prevalence at single age    free_vector(gpp,nlstate+1,nlstate+ndeath);
        and prints on file fileres'p'. */    free_vector(gmp,nlstate+1,nlstate+ndeath);
   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax, fprev, lprev,mint,anint);    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
      free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
   free_matrix(mint,1,maxwav,1,n);    fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
   free_matrix(anint,1,maxwav,1,n);    /* for(j=nlstate+1; j<= nlstate+ndeath; j++){ *//* Only the first actually */
      fprintf(ficgp,"\n set log y; set nolog x;set xlabel \"Age\"; set ylabel \"Force of mortality (year-1)\";");
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  /*   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm); */
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm); */
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  /*   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm); */
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */    fprintf(ficgp,"\n plot \"%s\"  u 1:($3) not w l 1 ",fileresprobmorprev);
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)) t \"95\%% interval\" w l 2 ",fileresprobmorprev);
          fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)) not w l 2 ",fileresprobmorprev);
     /* For Powell, parameters are in a vector p[] starting at p[1]    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",fileresprobmorprev,fileresprobmorprev);
        so we point p on param[1][1] so that p[1] maps on param[1][1][1] */    fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"varmuptjgr%s%s%s.png\"> <br>\n", estepm,digitp,optionfilefiname,digit);
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */    /*  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);
   */
     if(mle==1){    fprintf(ficgp,"\nset out \"varmuptjgr%s%s%s.png\";replot;",digitp,optionfilefiname,digit);
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);  
     }    free_vector(xp,1,npar);
        free_matrix(doldm,1,nlstate,1,nlstate);
     /*--------- results files --------------*/    free_matrix(dnewm,1,nlstate,1,npar);
     fprintf(ficres,"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);    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
    fprintf(ficres,"fprevalence=%d lprevalence=%d pop_based=%d\n",fprev,lprev,popbased);    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
    fprintf(ficres,"fprevalence=%d lprevalence=%d nforecast=%d mob_average=%d\n",fprevfore,lprevfore,nforecast,mobilav);    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
    jk=1;    fclose(ficresprobmorprev);
    fprintf(ficres,"# Parameters\n");    fclose(ficgp);
    printf("# Parameters\n");    fclose(fichtm);
    for(i=1,jk=1; i <=nlstate; i++){  }  
      for(k=1; k <=(nlstate+ndeath); k++){  
        if (k != 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)
            printf("%d%d ",i,k);  {
            fprintf(ficres,"%1d%1d ",i,k);    /* Variance of prevalence limit */
            for(j=1; j <=ncovmodel; j++){    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double **savm,double ftolpl);*/
              printf("%f ",p[jk]);    double **newm;
              fprintf(ficres,"%f ",p[jk]);    double **dnewm,**doldm;
              jk++;    int i, j, nhstepm, hstepm;
            }    int k, cptcode;
            printf("\n");    double *xp;
            fprintf(ficres,"\n");    double *gp, *gm;
          }    double **gradg, **trgradg;
      }    double age,agelim;
    }    int theta;
  if(mle==1){     
     /* Computing hessian and covariance matrix */    fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
     ftolhess=ftol; /* Usually correct */    fprintf(ficresvpl,"# Age");
     hesscov(matcov, p, npar, delti, ftolhess, func);    for(i=1; i<=nlstate;i++)
  }        fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficres,"# Scales\n");    fprintf(ficresvpl,"\n");
     printf("# Scales\n");  
      for(i=1,jk=1; i <=nlstate; i++){    xp=vector(1,npar);
       for(j=1; j <=nlstate+ndeath; j++){    dnewm=matrix(1,nlstate,1,npar);
         if (j!=i) {    doldm=matrix(1,nlstate,1,nlstate);
           fprintf(ficres,"%1d%1d",i,j);    
           printf("%1d%1d",i,j);    hstepm=1*YEARM; /* Every year of age */
           for(k=1; k<=ncovmodel;k++){    hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
             printf(" %.5e",delti[jk]);    agelim = AGESUP;
             fprintf(ficres," %.5e",delti[jk]);    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
             jk++;      nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
           }      if (stepm >= YEARM) hstepm=1;
           printf("\n");      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
           fprintf(ficres,"\n");      gradg=matrix(1,npar,1,nlstate);
         }      gp=vector(1,nlstate);
       }      gm=vector(1,nlstate);
       }  
          for(theta=1; theta <=npar; theta++){
     k=1;        for(i=1; i<=npar; i++){ /* Computes gradient */
     fprintf(ficres,"# Covariance\n");          xp[i] = x[i] + (i==theta ?delti[theta]:0);
     printf("# Covariance\n");        }
     for(i=1;i<=npar;i++){        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       /*  if (k>nlstate) k=1;        for(i=1;i<=nlstate;i++)
       i1=(i-1)/(ncovmodel*nlstate)+1;          gp[i] = prlim[i][i];
       fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);      
       printf("%s%d%d",alph[k],i1,tab[i]);*/        for(i=1; i<=npar; i++) /* Computes gradient */
       fprintf(ficres,"%3d",i);          xp[i] = x[i] - (i==theta ?delti[theta]:0);
       printf("%3d",i);        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       for(j=1; j<=i;j++){        for(i=1;i<=nlstate;i++)
         fprintf(ficres," %.5e",matcov[i][j]);          gm[i] = prlim[i][i];
         printf(" %.5e",matcov[i][j]);  
       }        for(i=1;i<=nlstate;i++)
       fprintf(ficres,"\n");          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
       printf("\n");      } /* End theta */
       k++;  
     }      trgradg =matrix(1,nlstate,1,npar);
      
     while((c=getc(ficpar))=='#' && c!= EOF){      for(j=1; j<=nlstate;j++)
       ungetc(c,ficpar);        for(theta=1; theta <=npar; theta++)
       fgets(line, MAXLINE, ficpar);          trgradg[j][theta]=gradg[theta][j];
       puts(line);  
       fputs(line,ficparo);      for(i=1;i<=nlstate;i++)
     }        varpl[i][(int)age] =0.;
     ungetc(c,ficpar);      matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
        matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
     fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);      for(i=1;i<=nlstate;i++)
            varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
     if (fage <= 2) {  
       bage = agemin;      fprintf(ficresvpl,"%.0f ",age );
       fage = agemax;      for(i=1; i<=nlstate;i++)
     }        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
       fprintf(ficresvpl,"\n");
     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");      free_vector(gp,1,nlstate);
     fprintf(ficres,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);      free_vector(gm,1,nlstate);
       free_matrix(gradg,1,npar,1,nlstate);
          free_matrix(trgradg,1,nlstate,1,npar);
 /*------------ gnuplot -------------*/    } /* End age */
 chdir(pathcd);  
   if((ficgp=fopen("graph.plt","w"))==NULL) {    free_vector(xp,1,npar);
     printf("Problem with file graph.gp");goto end;    free_matrix(doldm,1,nlstate,1,npar);
   }    free_matrix(dnewm,1,nlstate,1,nlstate);
 #ifdef windows  
   fprintf(ficgp,"cd \"%s\" \n",pathc);  }
 #endif  
 m=pow(2,cptcoveff);  /************ Variance of one-step probabilities  ******************/
    void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)
  /* 1eme*/  {
   for (cpt=1; cpt<= nlstate ; cpt ++) {    int i, j=0,  i1, k1, l1, t, tj;
    for (k1=1; k1<= m ; k1 ++) {    int k2, l2, j1,  z1;
     int k=0,l, cptcode;
 #ifdef windows    int first=1, first1;
     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);    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
 #endif    double **dnewm,**doldm;
 #ifdef unix    double *xp;
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",agemin,fage,fileres);    double *gp, *gm;
 #endif    double **gradg, **trgradg;
     double **mu;
 for (i=1; i<= nlstate ; i ++) {    double age,agelim, cov[NCOVMAX];
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
   else fprintf(ficgp," \%%*lf (\%%*lf)");    int theta;
 }    char fileresprob[FILENAMELENGTH];
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);    char fileresprobcov[FILENAMELENGTH];
     for (i=1; i<= nlstate ; i ++) {    char fileresprobcor[FILENAMELENGTH];
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");    double ***varpij;
 }  
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);    strcpy(fileresprob,"prob"); 
      for (i=1; i<= nlstate ; i ++) {    strcat(fileresprob,fileres);
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");    if((ficresprob=fopen(fileresprob,"w"))==NULL) {
   else fprintf(ficgp," \%%*lf (\%%*lf)");      printf("Problem with resultfile: %s\n", fileresprob);
 }        fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));    }
 #ifdef unix    strcpy(fileresprobcov,"probcov"); 
 fprintf(ficgp,"\nset ter gif small size 400,300");    strcat(fileresprobcov,fileres);
 #endif    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
 fprintf(ficgp,"\nset out \"v%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);      printf("Problem with resultfile: %s\n", fileresprobcov);
    }      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
   }    }
   /*2 eme*/    strcpy(fileresprobcor,"probcor"); 
     strcat(fileresprobcor,fileres);
   for (k1=1; k1<= m ; k1 ++) {    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
     fprintf(ficgp,"set ylabel \"Years\" \nset ter gif small size 400,300\nplot [%.f:%.f] ",agemin,fage);      printf("Problem with resultfile: %s\n", fileresprobcor);
          fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
     for (i=1; i<= nlstate+1 ; i ++) {    }
       k=2*i;    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
       for (j=1; j<= nlstate+1 ; j ++) {    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
   else fprintf(ficgp," \%%*lf (\%%*lf)");    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);
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");    
       else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2-$3*2) \"\%%lf",fileres,k1-1,k1-1);    fprintf(ficresprob,"# Age");
       for (j=1; j<= nlstate+1 ; j ++) {    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
         if (j==i) fprintf(ficgp," \%%lf (\%%lf)");    fprintf(ficresprobcov,"# Age");
         else fprintf(ficgp," \%%*lf (\%%*lf)");    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
 }      fprintf(ficresprobcov,"# Age");
       fprintf(ficgp,"\" t\"\" w l 0,");  
      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 ++) {    for(i=1; i<=nlstate;i++)
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");      for(j=1; j<=(nlstate+ndeath);j++){
   else fprintf(ficgp," \%%*lf (\%%*lf)");        fprintf(ficresprob," p%1d-%1d (SE)",i,j);
 }          fprintf(ficresprobcov," p%1d-%1d ",i,j);
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");        fprintf(ficresprobcor," p%1d-%1d ",i,j);
       else fprintf(ficgp,"\" t\"\" w l 0,");      }  
     }   /* fprintf(ficresprob,"\n");
     fprintf(ficgp,"\nset out \"e%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),k1);    fprintf(ficresprobcov,"\n");
   }    fprintf(ficresprobcor,"\n");
     */
   /*3eme*/   xp=vector(1,npar);
     dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
   for (k1=1; k1<= m ; k1 ++) {    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
     for (cpt=1; cpt<= nlstate ; cpt ++) {    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
       k=2+nlstate*(cpt-1);    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
       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);    first=1;
       for (i=1; i< nlstate ; i ++) {    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
         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);      printf("Problem with gnuplot file: %s\n", optionfilegnuplot);
       }      fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);
       fprintf(ficgp,"\nset out \"exp%s%d%d.gif\" \nreplot\n\n",strtok(optionfile, "."),cpt,k1);      exit(0);
     }    }
   }    else{
        fprintf(ficgp,"\n# Routine varprob");
   /* CV preval stat */    }
   for (k1=1; k1<= m ; k1 ++) {    if((fichtm=fopen(optionfilehtm,"a"))==NULL) {
     for (cpt=1; cpt<nlstate ; cpt ++) {      printf("Problem with html file: %s\n", optionfilehtm);
       k=3;      fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);
       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/($%d",agemin,agemax,fileres,k1,k+cpt+1,k+1);      exit(0);
       for (i=1; i< nlstate ; i ++)    }
         fprintf(ficgp,"+$%d",k+i+1);    else{
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);      fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
            fprintf(fichtm,"\n");
       l=3+(nlstate+ndeath)*cpt;  
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);      fprintf(fichtm,"\n<li><h4> Computing matrix of variance-covariance of step probabilities</h4></li>\n");
       for (i=1; i< nlstate ; i ++) {      fprintf(fichtm,"\nWe have drawn ellipsoids of confidence around the p<inf>ij</inf>, p<inf>kl</inf> to understand the covariance between two incidences. They are expressed in year<sup>-1</sup> in order to be less dependent of stepm.<br>\n");
         l=3+(nlstate+ndeath)*cpt;      fprintf(fichtm,"\n<br> We have drawn x'cov<sup>-1</sup>x = 4 where x is the column vector (pij,pkl). It means that if pij and pkl where uncorrelated the (2X2) matrix would have been (1/(var pij), 0 , 0, 1/(var pkl)), and the confidence interval would be 2 standard deviations wide on each axis. <br> When both incidences are correlated we diagonalised the inverse of the covariance matrix and made the appropriate rotation.<br> \n");
         fprintf(ficgp,"+$%d",l+i+1);  
       }    }
       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);    cov[1]=1;
     }    tj=cptcoveff;
   }      if (cptcovn<1) {tj=1;ncodemax[1]=1;}
     j1=0;
   /* proba elementaires */    for(t=1; t<=tj;t++){
    for(i=1,jk=1; i <=nlstate; i++){      for(i1=1; i1<=ncodemax[t];i1++){ 
     for(k=1; k <=(nlstate+ndeath); k++){        j1++;
       if (k != i) {        if  (cptcovn>0) {
         for(j=1; j <=ncovmodel; j++){          fprintf(ficresprob, "\n#********** Variable "); 
           /*fprintf(ficgp,"%s%1d%1d=%f ",alph[j],i,k,p[jk]);*/          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           /*fprintf(ficgp,"%s",alph[1]);*/          fprintf(ficresprob, "**********\n#\n");
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);          fprintf(ficresprobcov, "\n#********** Variable "); 
           jk++;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           fprintf(ficgp,"\n");          fprintf(ficresprobcov, "**********\n#\n");
         }          
       }          fprintf(ficgp, "\n#********** Variable "); 
     }          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, " V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
     }          fprintf(ficgp, "**********\n#\n");
           
   for(jk=1; jk <=m; jk++) {          
   fprintf(ficgp,"\nset ter gif small size 400,300\nset log y\nplot  [%.f:%.f] ",agemin,agemax);          fprintf(fichtm, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
    i=1;          for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
    for(k2=1; k2<=nlstate; k2++) {          fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
      k3=i;          
      for(k=1; k<=(nlstate+ndeath); k++) {          fprintf(ficresprobcor, "\n#********** Variable ");    
        if (k != k2){          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
         fprintf(ficgp," exp(p%d+p%d*x",i,i+1);          fprintf(ficresprobcor, "**********\n#");    
 ij=1;        }
         for(j=3; j <=ncovmodel; j++) {        
           if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {        for (age=bage; age<=fage; age ++){ 
             fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);          cov[2]=age;
             ij++;          for (k=1; k<=cptcovn;k++) {
           }            cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           else          }
           fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);          for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         }          for (k=1; k<=cptcovprod;k++)
           fprintf(ficgp,")/(1");            cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
                  
         for(k1=1; k1 <=nlstate; k1++){            gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
           fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);          trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
 ij=1;          gp=vector(1,(nlstate)*(nlstate+ndeath));
           for(j=3; j <=ncovmodel; j++){          gm=vector(1,(nlstate)*(nlstate+ndeath));
           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]]]);          for(theta=1; theta <=npar; theta++){
             ij++;            for(i=1; i<=npar; i++)
           }              xp[i] = x[i] + (i==theta ?delti[theta]:(double)0);
           else            
             fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);            pmij(pmmij,cov,ncovmodel,xp,nlstate);
           }            
           fprintf(ficgp,")");            k=0;
         }            for(i=1; i<= (nlstate); i++){
         fprintf(ficgp,") t \"p%d%d\" ", k2,k);              for(j=1; j<=(nlstate+ndeath);j++){
         if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");                k=k+1;
         i=i+ncovmodel;                gp[k]=pmmij[i][j];
        }              }
      }            }
    }            
    fprintf(ficgp,"\nset out \"pe%s%d.gif\" \nreplot\n\n",strtok(optionfile, "."),jk);            for(i=1; i<=npar; i++)
   }              xp[i] = x[i] - (i==theta ?delti[theta]:(double)0);
          
   fclose(ficgp);            pmij(pmmij,cov,ncovmodel,xp,nlstate);
                k=0;
 chdir(path);            for(i=1; i<=(nlstate); i++){
                  for(j=1; j<=(nlstate+ndeath);j++){
     free_ivector(wav,1,imx);                k=k+1;
     free_imatrix(dh,1,lastpass-firstpass+1,1,imx);                gm[k]=pmmij[i][j];
     free_imatrix(mw,1,lastpass-firstpass+1,1,imx);                }
     free_ivector(num,1,n);            }
     free_vector(agedc,1,n);       
     /*free_matrix(covar,1,NCOVMAX,1,n);*/            for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
     fclose(ficparo);              gradg[theta][i]=(gp[i]-gm[i])/(double)2./delti[theta];  
     fclose(ficres);          }
     /*  }*/  
              for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
    /*________fin mle=1_________*/            for(theta=1; theta <=npar; theta++)
                  trgradg[j][theta]=gradg[theta][j];
           
            matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
     /* No more information from the sample is required now */          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
   /* Reads comments: lines beginning with '#' */          free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
   while((c=getc(ficpar))=='#' && c!= EOF){          free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
     ungetc(c,ficpar);          free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
     fgets(line, MAXLINE, ficpar);          free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
     puts(line);  
     fputs(line,ficparo);          pmij(pmmij,cov,ncovmodel,x,nlstate);
   }          
   ungetc(c,ficpar);          k=0;
            for(i=1; i<=(nlstate); i++){
   fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf\n",&agemin,&agemax, &bage, &fage);            for(j=1; j<=(nlstate+ndeath);j++){
   printf("agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax, bage, fage);              k=k+1;
   fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f\n",agemin,agemax,bage,fage);              mu[k][(int) age]=pmmij[i][j];
 /*--------- index.htm --------*/            }
           }
   strcpy(optionfilehtm,optionfile);          for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
   strcat(optionfilehtm,".htm");            for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {              varpij[i][j][(int)age] = doldm[i][j];
     printf("Problem with %s \n",optionfilehtm);goto end;  
   }          /*printf("\n%d ",(int)age);
             for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
  fprintf(fichtm,"<body><ul> <font size=\"6\">Imach, Version 0.7 </font> <hr size=\"2\" color=\"#EC5E5E\">            printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
 Titre=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>            fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
 Total number of observations=%d <br>            }*/
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>  
 <hr  size=\"2\" color=\"#EC5E5E\">          fprintf(ficresprob,"\n%d ",(int)age);
 <li>Outputs files<br><br>\n          fprintf(ficresprobcov,"\n%d ",(int)age);
         - Observed prevalence in each state: <a href=\"p%s\">p%s</a> <br>\n          fprintf(ficresprobcor,"\n%d ",(int)age);
 - 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<=(nlstate)*(nlstate+ndeath);i++)
         - Transition probabilities: <a href=\"pij%s\">pij%s</a><br>            fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
         - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
         - Life expectancies by age and initial health status: <a href=\"e%s\">e%s</a> <br>            fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
         - Variances of life expectancies by age and initial health status: <a href=\"v%s\">v%s</a><br>            fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
         - Health expectancies with their variances: <a href=\"t%s\">t%s</a> <br>          }
         - Standard deviation of stationary prevalences: <a href=\"vpl%s\">vpl%s</a> <br>          i=0;
         - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>          for (k=1; k<=(nlstate);k++){
 <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);            for (l=1; l<=(nlstate+ndeath);l++){ 
               i=i++;
  fprintf(fichtm," <li>Graphs</li><p>");              fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
               fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
  m=cptcoveff;              for (j=1; j<=i;j++){
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}                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]));
  j1=0;              }
  for(k1=1; k1<=m;k1++){            }
    for(i1=1; i1<=ncodemax[k1];i1++){          }/* end of loop for state */
        j1++;        } /* end of loop for age */
        if (cptcovn > 0) {  
          fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");        /* Confidence intervalle of pij  */
          for (cpt=1; cpt<=cptcoveff;cpt++)        /*
            fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[j1][cpt]]);          fprintf(ficgp,"\nset noparametric;unset label");
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");          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,"<br>- Probabilities: pe%s%d.gif<br>          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);
 <img src=\"pe%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);              fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
        for(cpt=1; cpt<nlstate;cpt++){          fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
          fprintf(fichtm,"<br>- Prevalence of disability : p%s%d%d.gif<br>          fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
 <img src=\"p%s%d%d.gif\">",strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);        */
        }  
     for(cpt=1; cpt<=nlstate;cpt++) {        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident        first1=1;
 interval) in state (%d): v%s%d%d.gif <br>        for (k2=1; k2<=(nlstate);k2++){
 <img src=\"v%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);            for (l2=1; l2<=(nlstate+ndeath);l2++){ 
      }            if(l2==k2) continue;
      for(cpt=1; cpt<=nlstate;cpt++) {            j=(k2-1)*(nlstate+ndeath)+l2;
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.gif <br>            for (k1=1; k1<=(nlstate);k1++){
 <img src=\"exp%s%d%d.gif\">",cpt,strtok(optionfile, "."),cpt,j1,strtok(optionfile, "."),cpt,j1);              for (l1=1; l1<=(nlstate+ndeath);l1++){ 
      }                if(l1==k1) continue;
      fprintf(fichtm,"\n<br>- Total life expectancy by age and                i=(k1-1)*(nlstate+ndeath)+l1;
 health expectancies in states (1) and (2): e%s%d.gif<br>                if(i<=j) continue;
 <img src=\"e%s%d.gif\">",strtok(optionfile, "."),j1,strtok(optionfile, "."),j1);                for (age=bage; age<=fage; age ++){ 
 fprintf(fichtm,"\n</body>");                  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;
 fclose(fichtm);                    cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     mu1=mu[i][(int) age]/stepm*YEARM ;
   /*--------------- Prevalence limit --------------*/                    mu2=mu[j][(int) age]/stepm*YEARM;
                      c12=cv12/sqrt(v1*v2);
   strcpy(filerespl,"pl");                    /* Computing eigen value of matrix of covariance */
   strcat(filerespl,fileres);                    lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
   if((ficrespl=fopen(filerespl,"w"))==NULL) {                    lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;                    /* Eigen vectors */
   }                    v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);                    /*v21=sqrt(1.-v11*v11); *//* error */
   fprintf(ficrespl,"#Prevalence limit\n");                    v21=(lc1-v1)/cv12*v11;
   fprintf(ficrespl,"#Age ");                    v12=-v21;
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);                    v22=v11;
   fprintf(ficrespl,"\n");                    tnalp=v21/v11;
                      if(first1==1){
   prlim=matrix(1,nlstate,1,nlstate);                      first1=0;
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                      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);
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                    }
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                    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);
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */                    /*printf(fignu*/
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */                    /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
   k=0;                    /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
   agebase=agemin;                    if(first==1){
   agelim=agemax;                      first=0;
   ftolpl=1.e-10;                      fprintf(ficgp,"\nset parametric;unset label");
   i1=cptcoveff;                      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);
   if (cptcovn < 1){i1=1;}                      fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                       fprintf(fichtm,"\n<br>Ellipsoids of confidence cov(p%1d%1d,p%1d%1d) expressed in year<sup>-1</sup> :<a href=\"varpijgr%s%d%1d%1d-%1d%1d.png\">varpijgr%s%d%1d%1d-%1d%1d.png</A>, ",k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2,optionfilefiname, j1,k1,l1,k2,l2);
   for(cptcov=1;cptcov<=i1;cptcov++){                      fprintf(fichtm,"\n<br><img src=\"varpijgr%s%d%1d%1d-%1d%1d.png\"> ",optionfilefiname, j1,k1,l1,k2,l2);
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){                      fprintf(fichtm,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
         k=k+1;                      fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k1,l1,k2,l2);
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
         fprintf(ficrespl,"\n#******");                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
         for(j=1;j<=cptcoveff;j++)                      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",\
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
         fprintf(ficrespl,"******\n");                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                            }else{
         for (age=agebase; age<=agelim; age++){                      first=0;
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);                      fprintf(fichtm," %d (%.3f),",(int) age, c12);
           fprintf(ficrespl,"%.0f",age );                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
           for(i=1; i<=nlstate;i++)                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
           fprintf(ficrespl," %.5f", prlim[i][i]);                      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",\
           fprintf(ficrespl,"\n");                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
         }                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
       }                    }/* if first */
     }                  } /* age mod 5 */
   fclose(ficrespl);                } /* end loop age */
                 fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k1,l1,k2,l2);
   /*------------- h Pij x at various ages ------------*/                first=1;
                } /*l12 */
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);            } /* k12 */
   if((ficrespij=fopen(filerespij,"w"))==NULL) {          } /*l1 */
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;        }/* k1 */
   }      } /* loop covariates */
   printf("Computing pij: result on file '%s' \n", filerespij);    }
      free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
   stepsize=(int) (stepm+YEARM-1)/YEARM;    free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
   /*if (stepm<=24) stepsize=2;*/    free_vector(xp,1,npar);
     fclose(ficresprob);
   agelim=AGESUP;    fclose(ficresprobcov);
   hstepm=stepsize*YEARM; /* Every year of age */    fclose(ficresprobcor);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    fclose(ficgp);
      fclose(fichtm);
   k=0;  }
   for(cptcov=1;cptcov<=i1;cptcov++){  
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  
       k=k+1;  /******************* Printing html file ***********/
         fprintf(ficrespij,"\n#****** ");  void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
         for(j=1;j<=cptcoveff;j++)                    int lastpass, int stepm, int weightopt, char model[],\
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
         fprintf(ficrespij,"******\n");                    int popforecast, int estepm ,\
                            double jprev1, double mprev1,double anprev1, \
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */                    double jprev2, double mprev2,double anprev2){
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    int jj1, k1, i1, cpt;
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    /*char optionfilehtm[FILENAMELENGTH];*/
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {
           oldm=oldms;savm=savms;      printf("Problem with %s \n",optionfilehtm), exit(0);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);        fprintf(ficlog,"Problem with %s \n",optionfilehtm), exit(0);
           fprintf(ficrespij,"# Age");    }
           for(i=1; i<=nlstate;i++)  
             for(j=1; j<=nlstate+ndeath;j++)     fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n
               fprintf(ficrespij," %1d-%1d",i,j);   - Observed prevalence in each state (during the period defined between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf): <a href=\"p%s\">p%s</a> <br>\n
           fprintf(ficrespij,"\n");   - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n
           for (h=0; h<=nhstepm; h++){   - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n
             fprintf(ficrespij,"%d %.0f %.0f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );   - Life expectancies by age and initial health status (estepm=%2d months): 
             for(i=1; i<=nlstate;i++)     <a href=\"e%s\">e%s</a> <br>\n</li>", \
               for(j=1; j<=nlstate+ndeath;j++)    jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);  
             fprintf(ficrespij,"\n");  fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
           }  
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);   m=cptcoveff;
           fprintf(ficrespij,"\n");   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
         }  
     }   jj1=0;
   }   for(k1=1; k1<=m;k1++){
      for(i1=1; i1<=ncodemax[k1];i1++){
   /* varprob(fileres, matcov, p, delti, nlstate, (int) bage, (int) fage,k);*/       jj1++;
        if (cptcovn > 0) {
   fclose(ficrespij);         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
          for (cpt=1; cpt<=cptcoveff;cpt++) 
   /*---------- Forecasting ------------------*/           fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
          fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
   strcpy(fileresf,"f");       }
   strcat(fileresf,fileres);       /* Pij */
   if((ficresf=fopen(fileresf,"w"))==NULL) {       fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before: pe%s%d1.png<br>
     printf("Problem with forecast resultfile: %s\n", fileresf);goto end;  <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);     
   }       /* Quasi-incidences */
   printf("Computing forecasting: result on file '%s' \n", fileresf);       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: pe%s%d2.png<br>
   <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1); 
   prevalence(agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax, fprevfore, lprevfore);         /* Stable prevalence in each health state */
          for(cpt=1; cpt<nlstate;cpt++){
  free_matrix(agev,1,maxwav,1,imx);           fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>
   /* Mobile average */  <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);
          }
   if (cptcoveff==0) ncodemax[cptcoveff]=1;       for(cpt=1; cpt<=nlstate;cpt++) {
           fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>
   if (mobilav==1) {  <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);       }
     for (agedeb=bage+3; agedeb<=fage-2; agedeb++)       fprintf(fichtm,"\n<br>- Total life expectancy by age and
       for (i=1; i<=nlstate;i++)  health expectancies in states (1) and (2): e%s%d.png<br>
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)  <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);
           mobaverage[(int)agedeb][i][cptcod]=0.;     } /* end i1 */
       }/* End k1 */
     for (agedeb=bage+4; agedeb<=fage; agedeb++){   fprintf(fichtm,"</ul>");
       for (i=1; i<=nlstate;i++){  
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  
           for (cpt=0;cpt<=4;cpt++){   fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];   - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n
           }   - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;   - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n
         }   - Correlation matrix of one-step probabilities: <a href=\"probcor%s\">probcor%s</a> <br>\n
       }   - Variances and covariances of life expectancies by age and initial health status (estepm=%d months): <a href=\"v%s\">v%s</a><br>\n 
     }     - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n
   }   - Standard deviation of stable prevalences: <a href=\"vpl%s\">vpl%s</a> <br>\n",rfileres,rfileres,fileres,fileres,fileres,fileres,fileres,fileres, estepm, fileres,fileres,fileres,fileres,fileres,fileres);
   
   stepsize=(int) (stepm+YEARM-1)/YEARM;   if(popforecast==1) fprintf(fichtm,"\n
   if (stepm<=12) stepsize=1;   - 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
   agelim=AGESUP;          <br>",fileres,fileres,fileres,fileres);
   hstepm=stepsize*YEARM; /* Every year of age */   else 
   hstepm=hstepm/stepm; /* Typically 2 years, = 2 years/6 months = 4 */     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>");
   if (popforecast==1) {  
     if((ficpop=fopen(popfile,"r"))==NULL)    {   m=cptcoveff;
       printf("Problem with population file : %s\n",popfile);goto end;   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
     }  
     popage=ivector(0,AGESUP);   jj1=0;
     popeffectif=vector(0,AGESUP);   for(k1=1; k1<=m;k1++){
     popcount=vector(0,AGESUP);     for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
     i=1;         if (cptcovn > 0) {
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF)         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
       {         for (cpt=1; cpt<=cptcoveff;cpt++) 
         i=i+1;           fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
       }         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
     imx=i;       }
         for(cpt=1; cpt<=nlstate;cpt++) {
   for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];         fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident
   }  interval) in state (%d): v%s%d%d.png <br>
   <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);  
   for(cptcov=1;cptcov<=i1;cptcov++){       }
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){     } /* end i1 */
       k=k+1;   }/* End k1 */
       fprintf(ficresf,"\n#****** ");   fprintf(fichtm,"</ul>");
       for(j=1;j<=cptcoveff;j++) {  fclose(fichtm);
         fprintf(ficresf,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  }
       }  
       fprintf(ficresf,"******\n");  /******************* Gnuplot file **************/
       fprintf(ficresf,"# StartingAge FinalAge Horizon(in years)");  void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);  
       if (popforecast==1)  fprintf(ficresf," [Population]");    int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
     int ng;
       for (agedeb=fage; agedeb>=bage; agedeb--){    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
         fprintf(ficresf,"\n%.f %.f 0",agedeb, agedeb);      printf("Problem with file %s",optionfilegnuplot);
        if (mobilav==1) {      fprintf(ficlog,"Problem with file %s",optionfilegnuplot);
         for(j=1; j<=nlstate;j++)    }
           fprintf(ficresf," %.3f",mobaverage[(int)agedeb][j][cptcod]);  
         }    /*#ifdef windows */
         else {      fprintf(ficgp,"cd \"%s\" \n",pathc);
           for(j=1; j<=nlstate;j++)      /*#endif */
           fprintf(ficresf," %.3f",probs[(int)agedeb][j][cptcod]);  m=pow(2,cptcoveff);
         }      
    /* 1eme*/
        for(j=1; j<=ndeath;j++) fprintf(ficresf," 0.00000");    for (cpt=1; cpt<= nlstate ; cpt ++) {
        if (popforecast==1) fprintf(ficresf," [%.f] ",popeffectif[(int)agedeb]);     for (k1=1; k1<= m ; k1 ++) {
       }       fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);
             fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"vpl%s\" every :::%d::%d u 1:2 \"\%%lf",ageminpar,fage,fileres,k1-1,k1-1);
       for (cpt=1; cpt<=nforecast;cpt++) {  
         fprintf(ficresf,"\n");       for (i=1; i<= nlstate ; i ++) {
       for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
         nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);         else fprintf(ficgp," \%%*lf (\%%*lf)");
         nhstepm = nhstepm/hstepm;       }
         /*printf("agedeb=%.lf stepm=%d hstepm=%d nhstepm=%d \n",agedeb,stepm,hstepm,nhstepm);*/       fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+1.96*$3) \"\%%lf",fileres,k1-1,k1-1);
        for (i=1; i<= nlstate ; i ++) {
         p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
         oldm=oldms;savm=savms;         else fprintf(ficgp," \%%*lf (\%%*lf)");
         hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);         } 
                       fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-1.96*$3) \"\%%lf",fileres,k1-1,k1-1); 
         for (h=0; h<=nhstepm; h++){       for (i=1; i<= nlstate ; i ++) {
                 if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
          if (h*hstepm/YEARM*stepm==cpt)         else fprintf(ficgp," \%%*lf (\%%*lf)");
             fprintf(ficresf,"\n%.f %.f %.f",agedeb, agedeb+ h*hstepm/YEARM*stepm, h*hstepm/YEARM*stepm);       }  
                 fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));
               }
          for(j=1; j<=nlstate+ndeath;j++) {    }
            kk1=0.;kk2=0;    /*2 eme*/
            for(i=1; i<=nlstate;i++) {            
              if (mobilav==1)    for (k1=1; k1<= m ; k1 ++) { 
                 kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb][i][cptcod];      fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);
              else kk1=kk1+p3mat[i][j][h]*probs[(int)agedeb][i][cptcod];      fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
              if (popforecast==1) kk2=kk1*popeffectif[(int)agedeb];      
             }      for (i=1; i<= nlstate+1 ; i ++) {
            if (h*hstepm/YEARM*stepm==cpt) {        k=2*i;
              fprintf(ficresf," %.3f", kk1);        fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);
                if (popforecast==1) fprintf(ficresf," [%.f]", kk2);        for (j=1; j<= nlstate+1 ; j ++) {
            }          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
           }          else fprintf(ficgp," \%%*lf (\%%*lf)");
         }        }   
         free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
                else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
       }        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 ++) {
     }          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
   }          else fprintf(ficgp," \%%*lf (\%%*lf)");
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);        }   
   if (popforecast==1) {        fprintf(ficgp,"\" t\"\" w l 0,");
     free_ivector(popage,0,AGESUP);        fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);
     free_vector(popeffectif,0,AGESUP);        for (j=1; j<= nlstate+1 ; j ++) {
     free_vector(popcount,0,AGESUP);          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
   }          else fprintf(ficgp," \%%*lf (\%%*lf)");
   free_imatrix(s,1,maxwav+1,1,n);        }   
   free_vector(weight,1,n);        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
   fclose(ficresf);        else fprintf(ficgp,"\" t\"\" w l 0,");
   /*---------- Health expectancies and variances ------------*/      }
     }
   strcpy(filerest,"t");    
   strcat(filerest,fileres);    /*3eme*/
   if((ficrest=fopen(filerest,"w"))==NULL) {    
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;    for (k1=1; k1<= m ; k1 ++) { 
   }      for (cpt=1; cpt<= nlstate ; cpt ++) {
   printf("Computing Total LEs with variances: file '%s' \n", filerest);        k=2+nlstate*(2*cpt-2);
         fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);
         fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);
   strcpy(filerese,"e");        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
   strcat(filerese,fileres);          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
   if((ficreseij=fopen(filerese,"w"))==NULL) {          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
   }          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
           
  strcpy(fileresv,"v");        */
   strcat(fileresv,fileres);        for (i=1; i< nlstate ; i ++) {
   if((ficresvij=fopen(fileresv,"w"))==NULL) {          fprintf(ficgp," ,\"e%s\" every :::%d::%d u 1:%d t \"e%d%d\" w l",fileres,k1-1,k1-1,k+2*i,cpt,i+1);
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);          
   }        } 
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);      }
     }
   k=0;    
   for(cptcov=1;cptcov<=i1;cptcov++){    /* CV preval stat */
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    for (k1=1; k1<= m ; k1 ++) { 
       k=k+1;      for (cpt=1; cpt<nlstate ; cpt ++) {
       fprintf(ficrest,"\n#****** ");        k=3;
       for(j=1;j<=cptcoveff;j++)        fprintf(ficgp,"\nset out \"p%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);        fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);
       fprintf(ficrest,"******\n");        
         for (i=1; i< nlstate ; i ++)
       fprintf(ficreseij,"\n#****** ");          fprintf(ficgp,"+$%d",k+i+1);
       for(j=1;j<=cptcoveff;j++)        fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
         fprintf(ficreseij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);        
       fprintf(ficreseij,"******\n");        l=3+(nlstate+ndeath)*cpt;
         fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);
       fprintf(ficresvij,"\n#****** ");        for (i=1; i< nlstate ; i ++) {
       for(j=1;j<=cptcoveff;j++)          l=3+(nlstate+ndeath)*cpt;
         fprintf(ficresvij,"V%d=%d ",j,nbcode[j][codtab[k][j]]);          fprintf(ficgp,"+$%d",l+i+1);
       fprintf(ficresvij,"******\n");        }
         fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
       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);      
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);    /* proba elementaires */
       oldm=oldms;savm=savms;    for(i=1,jk=1; i <=nlstate; i++){
       varevsij(fileres, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);      for(k=1; k <=(nlstate+ndeath); k++){
              if (k != i) {
       fprintf(ficrest,"#Total LEs with variances: e.. (std) ");          for(j=1; j <=ncovmodel; j++){
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);            fprintf(ficgp,"p%d=%f ",jk,p[jk]);
       fprintf(ficrest,"\n");            jk++; 
                    fprintf(ficgp,"\n");
       hf=1;          }
       if (stepm >= YEARM) hf=stepm/YEARM;        }
       epj=vector(1,nlstate+1);      }
       for(age=bage; age <=fage ;age++){     }
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);  
         if (popbased==1) {     for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
           for(i=1; i<=nlstate;i++)       for(jk=1; jk <=m; jk++) {
             prlim[i][i]=probs[(int)age][i][k];         fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng); 
         }         if (ng==2)
                   fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
         fprintf(ficrest," %.0f",age);         else
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){           fprintf(ficgp,"\nset title \"Probability\"\n");
           for(i=1, epj[j]=0.;i <=nlstate;i++) {         fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
             epj[j] += prlim[i][i]*hf*eij[i][j][(int)age];         i=1;
           }         for(k2=1; k2<=nlstate; k2++) {
           epj[nlstate+1] +=epj[j];           k3=i;
         }           for(k=1; k<=(nlstate+ndeath); k++) {
         for(i=1, vepp=0.;i <=nlstate;i++)             if (k != k2){
           for(j=1;j <=nlstate;j++)               if(ng==2)
             vepp += vareij[i][j][(int)age];                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
         fprintf(ficrest," %.2f (%.2f)", epj[nlstate+1],hf*sqrt(vepp));               else
         for(j=1;j <=nlstate;j++){                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
           fprintf(ficrest," %.2f (%.2f)", epj[j],hf*sqrt(vareij[j][j][(int)age]));               ij=1;
         }               for(j=3; j <=ncovmodel; j++) {
         fprintf(ficrest,"\n");                 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");
  fclose(ficreseij);               
  fclose(ficresvij);               for(k1=1; k1 <=nlstate; k1++){   
   fclose(ficrest);                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
   fclose(ficpar);                 ij=1;
   free_vector(epj,1,nlstate+1);                 for(j=3; j <=ncovmodel; j++){
   /*  scanf("%d ",i); */                   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]]]);
   /*------- Variance limit prevalence------*/                       ij++;
                    }
 strcpy(fileresvpl,"vpl");                   else
   strcat(fileresvpl,fileres);                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {                 }
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);                 fprintf(ficgp,")");
     exit(0);               }
   }               fprintf(ficgp,") t \"p%d%d\" ", k2,k);
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);               if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
                i=i+ncovmodel;
  k=0;             }
  for(cptcov=1;cptcov<=i1;cptcov++){           } /* end k */
    for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){         } /* end k2 */
      k=k+1;       } /* end jk */
      fprintf(ficresvpl,"\n#****** ");     } /* end ng */
      for(j=1;j<=cptcoveff;j++)     fclose(ficgp); 
        fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  }  /* end gnuplot */
      fprintf(ficresvpl,"******\n");  
        
      varpl=matrix(1,nlstate,(int) bage, (int) fage);  /*************** Moving average **************/
      oldm=oldms;savm=savms;  int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);  
    }    int i, cpt, cptcod;
  }    int modcovmax =1;
     int mobilavrange, mob;
   fclose(ficresvpl);    double age;
   
   /*---------- End : free ----------------*/    modcovmax=2*cptcoveff;/* Max number of modalities. We suppose 
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);                             a covariate has 2 modalities */
      if (cptcovn<1) modcovmax=1; /* At least 1 pass */
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);  
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
        if(mobilav==1) mobilavrange=5; /* default */
        else mobilavrange=mobilav;
   free_matrix(pmmij,1,nlstate+ndeath,1,nlstate+ndeath);      for (age=bage; age<=fage; age++)
   free_matrix(oldms, 1,nlstate+ndeath,1,nlstate+ndeath);        for (i=1; i<=nlstate;i++)
   free_matrix(newms, 1,nlstate+ndeath,1,nlstate+ndeath);          for (cptcod=1;cptcod<=modcovmax;cptcod++)
   free_matrix(savms, 1,nlstate+ndeath,1,nlstate+ndeath);            mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
        /* We keep the original values on the extreme ages bage, fage and for 
   free_matrix(matcov,1,npar,1,npar);         fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
   free_vector(delti,1,npar);         we use a 5 terms etc. until the borders are no more concerned. 
        */ 
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);      for (mob=3;mob <=mobilavrange;mob=mob+2){
         for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
   printf("End of Imach\n");          for (i=1; i<=nlstate;i++){
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */            for (cptcod=1;cptcod<=modcovmax;cptcod++){
                mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
   /* 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);*/                for (cpt=1;cpt<=(mob-1)/2;cpt++){
   /*printf("Total time was %d uSec.\n", total_usecs);*/                  mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
   /*------ End -----------*/                  mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
                 }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
  end:            }
 #ifdef windows          }
  chdir(pathcd);        }/* end age */
 #endif      }/* end mob */
      }else return -1;
  system("..\\gp37mgw\\wgnuplot graph.plt");    return 0;
   }/* End movingaverage */
 #ifdef windows  
   while (z[0] != 'q') {  
     chdir(pathcd);  /************** Forecasting ******************/
     printf("\nType e to edit output files, c to start again, and q for exiting: ");  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){
     scanf("%s",z);    /* proj1, year, month, day of starting projection 
     if (z[0] == 'c') system("./imach");       agemin, agemax range of age
     else if (z[0] == 'e') {       dateprev1 dateprev2 range of dates during which prevalence is computed
       chdir(path);       anproj2 year of en of projection (same day and month as proj1).
       system(optionfilehtm);    */
     }    int yearp, stepsize, hstepm, nhstepm, j, k, c, cptcod, i, h, i1;
     else if (z[0] == 'q') exit(0);    int *popage;
   }    double agec; /* generic age */
 #endif    double agelim, ppij, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
 }    double *popeffectif,*popcount;
     double ***p3mat;
     double ***mobaverage;
     char fileresf[FILENAMELENGTH];
   
     agelim=AGESUP;
     prevalence(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");
   
     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==(int) (YEARM*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==(int)(YEARM*yearp))
                     fprintf(ficresf," %.3f", p3mat[i][j][h]);
                 }
                 if (h==(int)(YEARM*yearp)){
                   fprintf(ficresf," %.3f", ppij);
                 }
               }
             }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           }
         }
       }
     }
          
     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(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);
   }
   
   /***********************************************/
   /**************** 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;
     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[80],pathc[80],pathcd[80],pathtot[80],model[80];
     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;
   #include <sys/time.h>
   #include <time.h>
     char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
    
     /* long total_usecs;
        struct timeval start_time, end_time;
     
        gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
     getcwd(pathcd, size);
   
     printf("\n%s",version);
     if(argc <=1){
       printf("\nEnter the parameter file name: ");
       scanf("%s",pathtot);
     }
     else{
       strcpy(pathtot,argv[1]);
     }
     /*if(getcwd(pathcd, 80)!= 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, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
     chdir(path);
     replace(pathc,path);
   
     /*-------- 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",version);
     fprintf(ficlog,"\nEnter the parameter file name: ");
     fprintf(ficlog,"pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
     fflush(ficlog);
   
     /* */
     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);
       goto end;
     }
   
     strcpy(filereso,"o");
     strcat(filereso,fileres);
     if((ficparo=fopen(filereso,"w"))==NULL) {
       printf("Problem with Output resultfile: %s\n", filereso);
       fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
       goto end;
     }
   
     /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     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);
     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);
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     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 */
     
     /* Read guess parameters */
     /* Reads comments: lines beginning with '#' */
     while((c=getc(ficpar))=='#' && c!= EOF){
       ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
       puts(line);
       fputs(line,ficparo);
     }
     ungetc(c,ficpar);
     
     param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
     for(i=1; i <=nlstate; i++)
       for(j=1; j <=nlstate+ndeath-1; j++){
         fscanf(ficpar,"%1d%1d",&i1,&j1);
         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");
         if(mle==1)
           printf("\n");
         fprintf(ficlog,"\n");
         fprintf(ficparo,"\n");
       }
     
     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);
       puts(line);
       fputs(line,ficparo);
     }
     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);
         printf("%1d%1d",i,j);
         fprintf(ficparo,"%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]);
         }
         fscanf(ficpar,"\n");
         printf("\n");
         fprintf(ficparo,"\n");
       }
     }
     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);
       puts(line);
       fputs(line,ficparo);
     }
     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]);
         }
         else
           fprintf(ficlog," %.5le",matcov[i][j]);
         fprintf(ficparo," %.5le",matcov[i][j]);
       }
       fscanf(ficpar,"\n");
       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");
   
   
     /*-------- 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=ivector(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);
         } 
         num[i]=atol(stra);
           
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
           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;
       }
     }
     /* 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("%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]));}*/
     
    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 ((mint[m][i]== 99) && (s[m][i] <= nlstate)){
           anint[m][i]=9999;
           s[m][i]=-1;
         }
         if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;
       }
     }
   
     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(moisdc[i]!=99 && andc[i]!=9999)
                 agev[m][i]=agedc[i];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
               else {
                 if (andc[i]!=9999){
                   printf("Warning negative age at death: %d line:%d\n",num[i],i);
                   fprintf(ficlog,"Warning negative age at death: %d 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(mint[m][i]==99 || 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)) {
           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("%d %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);*/
       
     /* Calculates basic frequencies. Computes observed prevalence at single age
        and prints on file fileres'p'. */
   
       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) */
   
     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==1){
       /* 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);
   
     probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
     freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvaraff,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);
   
     /*------------ 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);
     printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);
     /*--------- index.htm --------*/
   
     strcpy(optionfilehtm,optionfile);
     strcat(optionfilehtm,".htm");
     if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
       printf("Problem with %s \n",optionfilehtm), exit(0);
     }
   
     fprintf(fichtm,"<body> <font size=\"2\">%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
   Total number of observations=%d <br>\n
   Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\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></ul>\n",version,title,datafile,firstpass,lastpass,stepm, weightopt,model,imx,jmin,jmax,jmean,fileres,fileres,filelog,filelog,optionfilegnuplot,optionfilegnuplot);
      fclose(fichtm);
   
     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_ivector(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);
   
   
     /*---------- 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(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);
   
     /*  fclose(fichtm);*/
     /*  fclose(ficgp);*/ /* ALready done */
     
   
     if(erreur >0){
       printf("End of Imach with error or warning %d\n",erreur);
       fprintf(ficlog,"End of Imach with error or warning %d\n",erreur);
     }else{
      printf("End of Imach\n");
      fprintf(ficlog,"End of Imach\n");
     }
     printf("See log file on %s\n",filelog);
     fclose(ficlog);
     /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */
     
     /* 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);*/
     /*printf("Total time was %d uSec.\n", total_usecs);*/
     /*------ End -----------*/
   
     end:
   #ifdef windows
     /* chdir(pathcd);*/
   #endif 
    /*system("wgnuplot graph.plt");*/
    /*system("../gp37mgw/wgnuplot graph.plt");*/
    /*system("cd ../gp37mgw");*/
    /* system("..\\gp37mgw\\wgnuplot graph.plt");*/
     strcpy(plotcmd,GNUPLOTPROGRAM);
     strcat(plotcmd," ");
     strcat(plotcmd,optionfilegnuplot);
     printf("Starting: %s\n",plotcmd);fflush(stdout);
     system(plotcmd);
   
    /*#ifdef windows*/
     while (z[0] != 'q') {
       /* chdir(path); */
       printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");
       scanf("%s",z);
       if (z[0] == 'c') system("./imach");
       else if (z[0] == 'e') system(optionfilehtm);
       else if (z[0] == 'g') system(plotcmd);
       else if (z[0] == 'q') exit(0);
     }
     /*#endif */
   }
   
   

Removed from v.1.17  
changed lines
  Added in v.1.74


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