Diff for /imach/src/imach.c between versions 1.51 and 1.55

version 1.51, 2002/07/19 12:22:25 version 1.55, 2002/07/24 17:00:55
Line 1 Line 1
 /* $Id$  /* $Id$
    Interpolated Markov Chain     Interpolated Markov Chain
   
   Short summary of the programme:    Short summary of the programme:
      
   This program computes Healthy Life Expectancies from    This program computes Healthy Life Expectancies from
   cross-longitudinal data. Cross-longitudinal data consist in: -1- a    cross-longitudinal data. Cross-longitudinal data consist in: -1- a
   first survey ("cross") where individuals from different ages are    first survey ("cross") where individuals from different ages are
   interviewed on their health status or degree of disability (in the    interviewed on their health status or degree of disability (in the
   case of a health survey which is our main interest) -2- at least a    case of a health survey which is our main interest) -2- at least a
   second wave of interviews ("longitudinal") which measure each change    second wave of interviews ("longitudinal") which measure each change
   (if any) in individual health status.  Health expectancies are    (if any) in individual health status.  Health expectancies are
   computed from the time spent in each health state according to a    computed from the time spent in each health state according to a
   model. More health states you consider, more time is necessary to reach the    model. More health states you consider, more time is necessary to reach the
   Maximum Likelihood of the parameters involved in the model.  The    Maximum Likelihood of the parameters involved in the model.  The
   simplest model is the multinomial logistic model where pij is the    simplest model is the multinomial logistic model where pij is the
   probability to be observed in state j at the second wave    probability to be observed in state j at the second wave
   conditional to be observed in state i at the first wave. Therefore    conditional to be observed in state i at the first wave. Therefore
   the model is: log(pij/pii)= aij + bij*age+ cij*sex + etc , where    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    'age' is age and 'sex' is a covariate. If you want to have a more
   complex model than "constant and age", you should modify the program    complex model than "constant and age", you should modify the program
   where the markup *Covariates have to be included here again* invites    where the markup *Covariates have to be included here again* invites
   you to do it.  More covariates you add, slower the    you to do it.  More covariates you add, slower the
   convergence.    convergence.
   
   The advantage of this computer programme, compared to a simple    The advantage of this computer programme, compared to a simple
   multinomial logistic model, is clear when the delay between waves is not    multinomial logistic model, is clear when the delay between waves is not
   identical for each individual. Also, if a individual missed an    identical for each individual. Also, if a individual missed an
   intermediate interview, the information is lost, but taken into    intermediate interview, the information is lost, but taken into
   account using an interpolation or extrapolation.      account using an interpolation or extrapolation.  
   
   hPijx is the probability to be observed in state i at age x+h    hPijx is the probability to be observed in state i at age x+h
   conditional to the observed state i at age x. The delay 'h' can be    conditional to the observed state i at age x. The delay 'h' can be
   split into an exact number (nh*stepm) of unobserved intermediate    split into an exact number (nh*stepm) of unobserved intermediate
   states. This elementary transition (by month or quarter trimester,    states. This elementary transition (by month or quarter trimester,
   semester or year) is model as a multinomial logistic.  The hPx    semester or year) is model as a multinomial logistic.  The hPx
   matrix is simply the matrix product of nh*stepm elementary matrices    matrix is simply the matrix product of nh*stepm elementary matrices
   and the contribution of each individual to the likelihood is simply    and the contribution of each individual to the likelihood is simply
   hPijx.    hPijx.
   
   Also this programme outputs the covariance matrix of the parameters but also    Also this programme outputs the covariance matrix of the parameters but also
   of the life expectancies. It also computes the prevalence limits.    of the life expectancies. It also computes the stable prevalence. 
      
   Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).    Authors: Nicolas Brouard (brouard@ined.fr) and Agnès Lièvre (lievre@ined.fr).
            Institut national d'études démographiques, Paris.             Institut national d'études démographiques, Paris.
   This software have been partly granted by Euro-REVES, a concerted action    This software have been partly granted by Euro-REVES, a concerted action
   from the European Union.    from the European Union.
   It is copyrighted identically to a GNU software product, ie programme and    It is copyrighted identically to a GNU software product, ie programme and
   software can be distributed freely for non commercial use. Latest version    software can be distributed freely for non commercial use. Latest version
   can be accessed at http://euroreves.ined.fr/imach .    can be accessed at http://euroreves.ined.fr/imach .
   **********************************************************************/    **********************************************************************/
     
 #include <math.h>  #include <math.h>
 #include <stdio.h>  #include <stdio.h>
 #include <stdlib.h>  #include <stdlib.h>
 #include <unistd.h>  #include <unistd.h>
   
 #define MAXLINE 256  #define MAXLINE 256
 #define GNUPLOTPROGRAM "gnuplot"  #define GNUPLOTPROGRAM "gnuplot"
 /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/  /*#define GNUPLOTPROGRAM "..\\gp37mgw\\wgnuplot"*/
 #define FILENAMELENGTH 80  #define FILENAMELENGTH 80
 /*#define DEBUG*/  /*#define DEBUG*/
 #define windows  #define windows
 #define GLOCK_ERROR_NOPATH              -1      /* empty path */  #define GLOCK_ERROR_NOPATH              -1      /* empty path */
 #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */  #define GLOCK_ERROR_GETCWD              -2      /* cannot get cwd */
   
 #define MAXPARM 30 /* Maximum number of parameters for the optimization */  #define MAXPARM 30 /* Maximum number of parameters for the optimization */
 #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */  #define NPARMAX 64 /* (nlstate+ndeath-1)*nlstate*ncovmodel */
   
 #define NINTERVMAX 8  #define NINTERVMAX 8
 #define NLSTATEMAX 8 /* Maximum number of live states (for func) */  #define NLSTATEMAX 8 /* Maximum number of live states (for func) */
 #define NDEATHMAX 8 /* Maximum number of dead states (for func) */  #define NDEATHMAX 8 /* Maximum number of dead states (for func) */
 #define NCOVMAX 8 /* Maximum number of covariates */  #define NCOVMAX 8 /* Maximum number of covariates */
 #define MAXN 20000  #define MAXN 20000
 #define YEARM 12. /* Number of months per year */  #define YEARM 12. /* Number of months per year */
 #define AGESUP 130  #define AGESUP 130
 #define AGEBASE 40  #define AGEBASE 40
 #ifdef windows  #ifdef windows
 #define DIRSEPARATOR '\\'  #define DIRSEPARATOR '\\'
 #define ODIRSEPARATOR '/'  #define ODIRSEPARATOR '/'
 #else  #else
 #define DIRSEPARATOR '/'  #define DIRSEPARATOR '/'
 #define ODIRSEPARATOR '\\'  #define ODIRSEPARATOR '\\'
 #endif  #endif
   
 char version[80]="Imach version 0.8i, June 2002, INED-EUROREVES ";  char version[80]="Imach version 0.8k, July 2002, INED-EUROREVES ";
 int erreur; /* Error number */  int erreur; /* Error number */
 int nvar;  int nvar;
 int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;  int cptcovn=0, cptcovage=0, cptcoveff=0,cptcov;
 int npar=NPARMAX;  int npar=NPARMAX;
 int nlstate=2; /* Number of live states */  int nlstate=2; /* Number of live states */
 int ndeath=1; /* Number of dead states */  int ndeath=1; /* Number of dead states */
 int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */  int ncovmodel, ncovcol;     /* Total number of covariables including constant a12*1 +b12*x ncovmodel=2 */
 int popbased=0;  int popbased=0;
   
 int *wav; /* Number of waves for this individuual 0 is possible */  int *wav; /* Number of waves for this individuual 0 is possible */
 int maxwav; /* Maxim number of waves */  int maxwav; /* Maxim number of waves */
 int jmin, jmax; /* min, max spacing between 2 waves */  int jmin, jmax; /* min, max spacing between 2 waves */
 int mle, weightopt;  int mle, weightopt;
 int **mw; /* mw[mi][i] is number of the mi wave for this individual */  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 */  int **dh; /* dh[mi][i] is number of steps between mi,mi+1 for this individual */
 double jmean; /* Mean space between 2 waves */  double jmean; /* Mean space between 2 waves */
 double **oldm, **newm, **savm; /* Working pointers to matrices */  double **oldm, **newm, **savm; /* Working pointers to matrices */
 double **oldms, **newms, **savms; /* Fixed working pointers to matrices */  double **oldms, **newms, **savms; /* Fixed working pointers to matrices */
 FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;  FILE *fic,*ficpar, *ficparo,*ficres,  *ficrespl, *ficrespij, *ficrest,*ficresf,*ficrespop;
 FILE *ficlog;  FILE *ficlog;
 FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;  FILE *ficgp,*ficresprob,*ficpop, *ficresprobcov, *ficresprobcor;
 FILE *ficresprobmorprev;  FILE *ficresprobmorprev;
 FILE *fichtm; /* Html File */  FILE *fichtm; /* Html File */
 FILE *ficreseij;  FILE *ficreseij;
 char filerese[FILENAMELENGTH];  char filerese[FILENAMELENGTH];
 FILE  *ficresvij;  FILE  *ficresvij;
 char fileresv[FILENAMELENGTH];  char fileresv[FILENAMELENGTH];
 FILE  *ficresvpl;  FILE  *ficresvpl;
 char fileresvpl[FILENAMELENGTH];  char fileresvpl[FILENAMELENGTH];
 char title[MAXLINE];  char title[MAXLINE];
 char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];  char optionfile[FILENAMELENGTH], datafile[FILENAMELENGTH],  filerespl[FILENAMELENGTH];
 char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];  char optionfilext[10], optionfilefiname[FILENAMELENGTH], plotcmd[FILENAMELENGTH];
   
 char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];  char fileres[FILENAMELENGTH], filerespij[FILENAMELENGTH], filereso[FILENAMELENGTH], rfileres[FILENAMELENGTH];
 char filelog[FILENAMELENGTH]; /* Log file */  char filelog[FILENAMELENGTH]; /* Log file */
 char filerest[FILENAMELENGTH];  char filerest[FILENAMELENGTH];
 char fileregp[FILENAMELENGTH];  char fileregp[FILENAMELENGTH];
 char popfile[FILENAMELENGTH];  char popfile[FILENAMELENGTH];
   
 char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];  char optionfilegnuplot[FILENAMELENGTH], optionfilehtm[FILENAMELENGTH];
   
 #define NR_END 1  #define NR_END 1
 #define FREE_ARG char*  #define FREE_ARG char*
 #define FTOL 1.0e-10  #define FTOL 1.0e-10
   
 #define NRANSI  #define NRANSI 
 #define ITMAX 200  #define ITMAX 200 
   
 #define TOL 2.0e-4  #define TOL 2.0e-4 
   
 #define CGOLD 0.3819660  #define CGOLD 0.3819660 
 #define ZEPS 1.0e-10  #define ZEPS 1.0e-10 
 #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d);  #define SHFT(a,b,c,d) (a)=(b);(b)=(c);(c)=(d); 
   
 #define GOLD 1.618034  #define GOLD 1.618034 
 #define GLIMIT 100.0  #define GLIMIT 100.0 
 #define TINY 1.0e-20  #define TINY 1.0e-20 
   
 static double maxarg1,maxarg2;  static double maxarg1,maxarg2;
 #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))  #define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)>(maxarg2)? (maxarg1):(maxarg2))
 #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))  #define FMIN(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1)<(maxarg2)? (maxarg1):(maxarg2))
      
 #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))  #define SIGN(a,b) ((b)>0.0 ? fabs(a) : -fabs(a))
 #define rint(a) floor(a+0.5)  #define rint(a) floor(a+0.5)
   
 static double sqrarg;  static double sqrarg;
 #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)  #define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 :sqrarg*sqrarg)
 #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;}  #define SWAP(a,b) {temp=(a);(a)=(b);(b)=temp;} 
   
 int imx;  int imx; 
 int stepm;  int stepm;
 /* Stepm, step in month: minimum step interpolation*/  /* Stepm, step in month: minimum step interpolation*/
   
 int estepm;  int estepm;
 /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/  /* Estepm, step in month to interpolate survival function in order to approximate Life Expectancy*/
   
 int m,nb;  int m,nb;
 int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;  int *num, firstpass=0, lastpass=4,*cod, *ncodemax, *Tage;
 double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;  double **agev,*moisnais, *annais, *moisdc, *andc,**mint, **anint;
 double **pmmij, ***probs, ***mobaverage;  double **pmmij, ***probs;
 double dateintmean=0;  double dateintmean=0;
   
 double *weight;  double *weight;
 int **s; /* Status */  int **s; /* Status */
 double *agedc, **covar, idx;  double *agedc, **covar, idx;
 int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;  int **nbcode, *Tcode, *Tvar, **codtab, **Tvard, *Tprod, cptcovprod, *Tvaraff;
   
 double ftol=FTOL; /* Tolerance for computing Max Likelihood */  double ftol=FTOL; /* Tolerance for computing Max Likelihood */
 double ftolhess; /* Tolerance for computing hessian */  double ftolhess; /* Tolerance for computing hessian */
   
 /**************** split *************************/  /**************** split *************************/
 static  int split( char *path, char *dirc, char *name, char *ext, char *finame )  static  int split( char *path, char *dirc, char *name, char *ext, char *finame )
 {  {
    char *s;                             /* pointer */     char *s;                             /* pointer */
    int  l1, l2;                         /* length counters */     int  l1, l2;                         /* length counters */
   
    l1 = strlen( path );                 /* length of path */     l1 = strlen( path );                 /* length of path */
    if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );     if ( l1 == 0 ) return( GLOCK_ERROR_NOPATH );
    s= strrchr( path, DIRSEPARATOR );            /* find last / */     s= strrchr( path, DIRSEPARATOR );            /* find last / */
    if ( s == NULL ) {                   /* no directory, so use current */     if ( s == NULL ) {                   /* no directory, so use current */
      /*if(strrchr(path, ODIRSEPARATOR )==NULL)       /*if(strrchr(path, ODIRSEPARATOR )==NULL)
        printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/         printf("Warning you should use %s as a separator\n",DIRSEPARATOR);*/
 #if     defined(__bsd__)                /* get current working directory */  #if     defined(__bsd__)                /* get current working directory */
       extern char       *getwd( );        extern char       *getwd( );
   
       if ( getwd( dirc ) == NULL ) {        if ( getwd( dirc ) == NULL ) {
 #else  #else
       extern char       *getcwd( );        extern char       *getcwd( );
   
       if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {        if ( getcwd( dirc, FILENAME_MAX ) == NULL ) {
 #endif  #endif
          return( GLOCK_ERROR_GETCWD );           return( GLOCK_ERROR_GETCWD );
       }        }
       strcpy( name, path );             /* we've got it */        strcpy( name, path );             /* we've got it */
    } else {                             /* strip direcotry from path */     } else {                             /* strip direcotry from path */
       s++;                              /* after this, the filename */        s++;                              /* after this, the filename */
       l2 = strlen( s );                 /* length of filename */        l2 = strlen( s );                 /* length of filename */
       if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );        if ( l2 == 0 ) return( GLOCK_ERROR_NOPATH );
       strcpy( name, s );                /* save file name */        strcpy( name, s );                /* save file name */
       strncpy( dirc, path, l1 - l2 );   /* now the directory */        strncpy( dirc, path, l1 - l2 );   /* now the directory */
       dirc[l1-l2] = 0;                  /* add zero */        dirc[l1-l2] = 0;                  /* add zero */
    }     }
    l1 = strlen( dirc );                 /* length of directory */     l1 = strlen( dirc );                 /* length of directory */
 #ifdef windows  #ifdef windows
    if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }     if ( dirc[l1-1] != '\\' ) { dirc[l1] = '\\'; dirc[l1+1] = 0; }
 #else  #else
    if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }     if ( dirc[l1-1] != '/' ) { dirc[l1] = '/'; dirc[l1+1] = 0; }
 #endif  #endif
    s = strrchr( name, '.' );            /* find last / */     s = strrchr( name, '.' );            /* find last / */
    s++;     s++;
    strcpy(ext,s);                       /* save extension */     strcpy(ext,s);                       /* save extension */
    l1= strlen( name);     l1= strlen( name);
    l2= strlen( s)+1;     l2= strlen( s)+1;
    strncpy( finame, name, l1-l2);     strncpy( finame, name, l1-l2);
    finame[l1-l2]= 0;     finame[l1-l2]= 0;
    return( 0 );                         /* we're done */     return( 0 );                         /* we're done */
 }  }
   
   
 /******************************************/  /******************************************/
   
 void replace(char *s, char*t)  void replace(char *s, char*t)
 {  {
   int i;    int i;
   int lg=20;    int lg=20;
   i=0;    i=0;
   lg=strlen(t);    lg=strlen(t);
   for(i=0; i<= lg; i++) {    for(i=0; i<= lg; i++) {
     (s[i] = t[i]);      (s[i] = t[i]);
     if (t[i]== '\\') s[i]='/';      if (t[i]== '\\') s[i]='/';
   }    }
 }  }
   
 int nbocc(char *s, char occ)  int nbocc(char *s, char occ)
 {  {
   int i,j=0;    int i,j=0;
   int lg=20;    int lg=20;
   i=0;    i=0;
   lg=strlen(s);    lg=strlen(s);
   for(i=0; i<= lg; i++) {    for(i=0; i<= lg; i++) {
   if  (s[i] == occ ) j++;    if  (s[i] == occ ) j++;
   }    }
   return j;    return j;
 }  }
   
 void cutv(char *u,char *v, char*t, char occ)  void cutv(char *u,char *v, char*t, char occ)
 {  {
   /* cuts string t into u and v where u is ended by char occ excluding it    /* cuts string t into u and v where u is ended by char occ excluding it
      and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)       and v is after occ excluding it too : ex cutv(u,v,"abcdef2ghi2j",2)
      gives u="abcedf" and v="ghi2j" */       gives u="abcedf" and v="ghi2j" */
   int i,lg,j,p=0;    int i,lg,j,p=0;
   i=0;    i=0;
   for(j=0; j<=strlen(t)-1; j++) {    for(j=0; j<=strlen(t)-1; j++) {
     if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;      if((t[j]!= occ) && (t[j+1]== occ)) p=j+1;
   }    }
   
   lg=strlen(t);    lg=strlen(t);
   for(j=0; j<p; j++) {    for(j=0; j<p; j++) {
     (u[j] = t[j]);      (u[j] = t[j]);
   }    }
      u[p]='\0';       u[p]='\0';
   
    for(j=0; j<= lg; j++) {     for(j=0; j<= lg; j++) {
     if (j>=(p+1))(v[j-p-1] = t[j]);      if (j>=(p+1))(v[j-p-1] = t[j]);
   }    }
 }  }
   
 /********************** nrerror ********************/  /********************** nrerror ********************/
   
 void nrerror(char error_text[])  void nrerror(char error_text[])
 {  {
   fprintf(stderr,"ERREUR ...\n");    fprintf(stderr,"ERREUR ...\n");
   fprintf(stderr,"%s\n",error_text);    fprintf(stderr,"%s\n",error_text);
   exit(1);    exit(1);
 }  }
 /*********************** vector *******************/  /*********************** vector *******************/
 double *vector(int nl, int nh)  double *vector(int nl, int nh)
 {  {
   double *v;    double *v;
   v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));    v=(double *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(double)));
   if (!v) nrerror("allocation failure in vector");    if (!v) nrerror("allocation failure in vector");
   return v-nl+NR_END;    return v-nl+NR_END;
 }  }
   
 /************************ free vector ******************/  /************************ free vector ******************/
 void free_vector(double*v, int nl, int nh)  void free_vector(double*v, int nl, int nh)
 {  {
   free((FREE_ARG)(v+nl-NR_END));    free((FREE_ARG)(v+nl-NR_END));
 }  }
   
 /************************ivector *******************************/  /************************ivector *******************************/
 int *ivector(long nl,long nh)  int *ivector(long nl,long nh)
 {  {
   int *v;    int *v;
   v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));    v=(int *) malloc((size_t)((nh-nl+1+NR_END)*sizeof(int)));
   if (!v) nrerror("allocation failure in ivector");    if (!v) nrerror("allocation failure in ivector");
   return v-nl+NR_END;    return v-nl+NR_END;
 }  }
   
 /******************free ivector **************************/  /******************free ivector **************************/
 void free_ivector(int *v, long nl, long nh)  void free_ivector(int *v, long nl, long nh)
 {  {
   free((FREE_ARG)(v+nl-NR_END));    free((FREE_ARG)(v+nl-NR_END));
 }  }
   
 /******************* imatrix *******************************/  /******************* imatrix *******************************/
 int **imatrix(long nrl, long nrh, long ncl, long nch)  int **imatrix(long nrl, long nrh, long ncl, long nch) 
      /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */       /* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */ 
 {  { 
   long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;    long i, nrow=nrh-nrl+1,ncol=nch-ncl+1; 
   int **m;    int **m; 
      
   /* allocate pointers to rows */    /* allocate pointers to rows */ 
   m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));    m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*))); 
   if (!m) nrerror("allocation failure 1 in matrix()");    if (!m) nrerror("allocation failure 1 in matrix()"); 
   m += NR_END;    m += NR_END; 
   m -= nrl;    m -= nrl; 
      
      
   /* allocate rows and set pointers to them */    /* allocate rows and set pointers to them */ 
   m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));    m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int))); 
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    if (!m[nrl]) nrerror("allocation failure 2 in matrix()"); 
   m[nrl] += NR_END;    m[nrl] += NR_END; 
   m[nrl] -= ncl;    m[nrl] -= ncl; 
      
   for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;    for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol; 
      
   /* return pointer to array of pointers to rows */    /* return pointer to array of pointers to rows */ 
   return m;    return m; 
 }  } 
   
 /****************** free_imatrix *************************/  /****************** free_imatrix *************************/
 void free_imatrix(m,nrl,nrh,ncl,nch)  void free_imatrix(m,nrl,nrh,ncl,nch)
       int **m;        int **m;
       long nch,ncl,nrh,nrl;        long nch,ncl,nrh,nrl; 
      /* free an int matrix allocated by imatrix() */       /* free an int matrix allocated by imatrix() */ 
 {  { 
   free((FREE_ARG) (m[nrl]+ncl-NR_END));    free((FREE_ARG) (m[nrl]+ncl-NR_END)); 
   free((FREE_ARG) (m+nrl-NR_END));    free((FREE_ARG) (m+nrl-NR_END)); 
 }  } 
   
 /******************* matrix *******************************/  /******************* matrix *******************************/
 double **matrix(long nrl, long nrh, long ncl, long nch)  double **matrix(long nrl, long nrh, long ncl, long nch)
 {  {
   long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;    long i, nrow=nrh-nrl+1, ncol=nch-ncl+1;
   double **m;    double **m;
   
   m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   if (!m) nrerror("allocation failure 1 in matrix()");    if (!m) nrerror("allocation failure 1 in matrix()");
   m += NR_END;    m += NR_END;
   m -= nrl;    m -= nrl;
   
   m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   m[nrl] += NR_END;    m[nrl] += NR_END;
   m[nrl] -= ncl;    m[nrl] -= ncl;
   
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   return m;    return m;
 }  }
   
 /*************************free matrix ************************/  /*************************free matrix ************************/
 void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)  void free_matrix(double **m, long nrl, long nrh, long ncl, long nch)
 {  {
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   free((FREE_ARG)(m+nrl-NR_END));    free((FREE_ARG)(m+nrl-NR_END));
 }  }
   
 /******************* ma3x *******************************/  /******************* ma3x *******************************/
 double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)  double ***ma3x(long nrl, long nrh, long ncl, long nch, long nll, long nlh)
 {  {
   long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;    long i, j, nrow=nrh-nrl+1, ncol=nch-ncl+1, nlay=nlh-nll+1;
   double ***m;    double ***m;
   
   m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));    m=(double ***) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
   if (!m) nrerror("allocation failure 1 in matrix()");    if (!m) nrerror("allocation failure 1 in matrix()");
   m += NR_END;    m += NR_END;
   m -= nrl;    m -= nrl;
   
   m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));    m[nrl]=(double **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
   if (!m[nrl]) nrerror("allocation failure 2 in matrix()");    if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
   m[nrl] += NR_END;    m[nrl] += NR_END;
   m[nrl] -= ncl;    m[nrl] -= ncl;
   
   for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;    for (i=nrl+1; i<=nrh; i++) m[i]=m[i-1]+ncol;
   
   m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));    m[nrl][ncl]=(double *) malloc((size_t)((nrow*ncol*nlay+NR_END)*sizeof(double)));
   if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");    if (!m[nrl][ncl]) nrerror("allocation failure 3 in matrix()");
   m[nrl][ncl] += NR_END;    m[nrl][ncl] += NR_END;
   m[nrl][ncl] -= nll;    m[nrl][ncl] -= nll;
   for (j=ncl+1; j<=nch; j++)    for (j=ncl+1; j<=nch; j++) 
     m[nrl][j]=m[nrl][j-1]+nlay;      m[nrl][j]=m[nrl][j-1]+nlay;
      
   for (i=nrl+1; i<=nrh; i++) {    for (i=nrl+1; i<=nrh; i++) {
     m[i][ncl]=m[i-1l][ncl]+ncol*nlay;      m[i][ncl]=m[i-1l][ncl]+ncol*nlay;
     for (j=ncl+1; j<=nch; j++)      for (j=ncl+1; j<=nch; j++) 
       m[i][j]=m[i][j-1]+nlay;        m[i][j]=m[i][j-1]+nlay;
   }    }
   return m;    return m;
 }  }
   
 /*************************free ma3x ************************/  /*************************free ma3x ************************/
 void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)  void free_ma3x(double ***m, long nrl, long nrh, long ncl, long nch,long nll, long nlh)
 {  {
   free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));    free((FREE_ARG)(m[nrl][ncl]+ nll-NR_END));
   free((FREE_ARG)(m[nrl]+ncl-NR_END));    free((FREE_ARG)(m[nrl]+ncl-NR_END));
   free((FREE_ARG)(m+nrl-NR_END));    free((FREE_ARG)(m+nrl-NR_END));
 }  }
   
 /***************** f1dim *************************/  /***************** f1dim *************************/
 extern int ncom;  extern int ncom; 
 extern double *pcom,*xicom;  extern double *pcom,*xicom;
 extern double (*nrfunc)(double []);  extern double (*nrfunc)(double []); 
     
 double f1dim(double x)  double f1dim(double x) 
 {  { 
   int j;    int j; 
   double f;    double f;
   double *xt;    double *xt; 
     
   xt=vector(1,ncom);    xt=vector(1,ncom); 
   for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j];    for (j=1;j<=ncom;j++) xt[j]=pcom[j]+x*xicom[j]; 
   f=(*nrfunc)(xt);    f=(*nrfunc)(xt); 
   free_vector(xt,1,ncom);    free_vector(xt,1,ncom); 
   return f;    return f; 
 }  } 
   
 /*****************brent *************************/  /*****************brent *************************/
 double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin)  double brent(double ax, double bx, double cx, double (*f)(double), double tol,  double *xmin) 
 {  { 
   int iter;    int iter; 
   double a,b,d,etemp;    double a,b,d,etemp;
   double fu,fv,fw,fx;    double fu,fv,fw,fx;
   double ftemp;    double ftemp;
   double p,q,r,tol1,tol2,u,v,w,x,xm;    double p,q,r,tol1,tol2,u,v,w,x,xm; 
   double e=0.0;    double e=0.0; 
     
   a=(ax < cx ? ax : cx);    a=(ax < cx ? ax : cx); 
   b=(ax > cx ? ax : cx);    b=(ax > cx ? ax : cx); 
   x=w=v=bx;    x=w=v=bx; 
   fw=fv=fx=(*f)(x);    fw=fv=fx=(*f)(x); 
   for (iter=1;iter<=ITMAX;iter++) {    for (iter=1;iter<=ITMAX;iter++) { 
     xm=0.5*(a+b);      xm=0.5*(a+b); 
     tol2=2.0*(tol1=tol*fabs(x)+ZEPS);      tol2=2.0*(tol1=tol*fabs(x)+ZEPS); 
     /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/      /*          if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret)))*/
     printf(".");fflush(stdout);      printf(".");fflush(stdout);
     fprintf(ficlog,".");fflush(ficlog);      fprintf(ficlog,".");fflush(ficlog);
 #ifdef DEBUG  #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);      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);      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)))) { */      /*          if ((fabs(x-xm) <= (tol2-0.5*(b-a)))||(2.0*fabs(fu-ftemp) <= ftol*1.e-2*(fabs(fu)+fabs(ftemp)))) { */
 #endif  #endif
     if (fabs(x-xm) <= (tol2-0.5*(b-a))){      if (fabs(x-xm) <= (tol2-0.5*(b-a))){ 
       *xmin=x;        *xmin=x; 
       return fx;        return fx; 
     }      } 
     ftemp=fu;      ftemp=fu;
     if (fabs(e) > tol1) {      if (fabs(e) > tol1) { 
       r=(x-w)*(fx-fv);        r=(x-w)*(fx-fv); 
       q=(x-v)*(fx-fw);        q=(x-v)*(fx-fw); 
       p=(x-v)*q-(x-w)*r;        p=(x-v)*q-(x-w)*r; 
       q=2.0*(q-r);        q=2.0*(q-r); 
       if (q > 0.0) p = -p;        if (q > 0.0) p = -p; 
       q=fabs(q);        q=fabs(q); 
       etemp=e;        etemp=e; 
       e=d;        e=d; 
       if (fabs(p) >= fabs(0.5*q*etemp) || p <= q*(a-x) || p >= q*(b-x))        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));          d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
       else {        else { 
         d=p/q;          d=p/q; 
         u=x+d;          u=x+d; 
         if (u-a < tol2 || b-u < tol2)          if (u-a < tol2 || b-u < tol2) 
           d=SIGN(tol1,xm-x);            d=SIGN(tol1,xm-x); 
       }        } 
     } else {      } else { 
       d=CGOLD*(e=(x >= xm ? a-x : b-x));        d=CGOLD*(e=(x >= xm ? a-x : b-x)); 
     }      } 
     u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d));      u=(fabs(d) >= tol1 ? x+d : x+SIGN(tol1,d)); 
     fu=(*f)(u);      fu=(*f)(u); 
     if (fu <= fx) {      if (fu <= fx) { 
       if (u >= x) a=x; else b=x;        if (u >= x) a=x; else b=x; 
       SHFT(v,w,x,u)        SHFT(v,w,x,u) 
         SHFT(fv,fw,fx,fu)          SHFT(fv,fw,fx,fu) 
         } else {          } else { 
           if (u < x) a=u; else b=u;            if (u < x) a=u; else b=u; 
           if (fu <= fw || w == x) {            if (fu <= fw || w == x) { 
             v=w;              v=w; 
             w=u;              w=u; 
             fv=fw;              fv=fw; 
             fw=fu;              fw=fu; 
           } else if (fu <= fv || v == x || v == w) {            } else if (fu <= fv || v == x || v == w) { 
             v=u;              v=u; 
             fv=fu;              fv=fu; 
           }            } 
         }          } 
   }    } 
   nrerror("Too many iterations in brent");    nrerror("Too many iterations in brent"); 
   *xmin=x;    *xmin=x; 
   return fx;    return fx; 
 }  } 
   
 /****************** mnbrak ***********************/  /****************** mnbrak ***********************/
   
 void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc,  void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, double *fc, 
             double (*func)(double))              double (*func)(double)) 
 {  { 
   double ulim,u,r,q, dum;    double ulim,u,r,q, dum;
   double fu;    double fu; 
     
   *fa=(*func)(*ax);    *fa=(*func)(*ax); 
   *fb=(*func)(*bx);    *fb=(*func)(*bx); 
   if (*fb > *fa) {    if (*fb > *fa) { 
     SHFT(dum,*ax,*bx,dum)      SHFT(dum,*ax,*bx,dum) 
       SHFT(dum,*fb,*fa,dum)        SHFT(dum,*fb,*fa,dum) 
       }        } 
   *cx=(*bx)+GOLD*(*bx-*ax);    *cx=(*bx)+GOLD*(*bx-*ax); 
   *fc=(*func)(*cx);    *fc=(*func)(*cx); 
   while (*fb > *fc) {    while (*fb > *fc) { 
     r=(*bx-*ax)*(*fb-*fc);      r=(*bx-*ax)*(*fb-*fc); 
     q=(*bx-*cx)*(*fb-*fa);      q=(*bx-*cx)*(*fb-*fa); 
     u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/      u=(*bx)-((*bx-*cx)*q-(*bx-*ax)*r)/ 
       (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r));        (2.0*SIGN(FMAX(fabs(q-r),TINY),q-r)); 
     ulim=(*bx)+GLIMIT*(*cx-*bx);      ulim=(*bx)+GLIMIT*(*cx-*bx); 
     if ((*bx-u)*(u-*cx) > 0.0) {      if ((*bx-u)*(u-*cx) > 0.0) { 
       fu=(*func)(u);        fu=(*func)(u); 
     } else if ((*cx-u)*(u-ulim) > 0.0) {      } else if ((*cx-u)*(u-ulim) > 0.0) { 
       fu=(*func)(u);        fu=(*func)(u); 
       if (fu < *fc) {        if (fu < *fc) { 
         SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx))          SHFT(*bx,*cx,u,*cx+GOLD*(*cx-*bx)) 
           SHFT(*fb,*fc,fu,(*func)(u))            SHFT(*fb,*fc,fu,(*func)(u)) 
           }            } 
     } else if ((u-ulim)*(ulim-*cx) >= 0.0) {      } else if ((u-ulim)*(ulim-*cx) >= 0.0) { 
       u=ulim;        u=ulim; 
       fu=(*func)(u);        fu=(*func)(u); 
     } else {      } else { 
       u=(*cx)+GOLD*(*cx-*bx);        u=(*cx)+GOLD*(*cx-*bx); 
       fu=(*func)(u);        fu=(*func)(u); 
     }      } 
     SHFT(*ax,*bx,*cx,u)      SHFT(*ax,*bx,*cx,u) 
       SHFT(*fa,*fb,*fc,fu)        SHFT(*fa,*fb,*fc,fu) 
       }        } 
 }  } 
   
 /*************** linmin ************************/  /*************** linmin ************************/
   
 int ncom;  int ncom; 
 double *pcom,*xicom;  double *pcom,*xicom;
 double (*nrfunc)(double []);  double (*nrfunc)(double []); 
     
 void linmin(double p[], double xi[], int n, double *fret,double (*func)(double []))  void linmin(double p[], double xi[], int n, double *fret,double (*func)(double [])) 
 {  { 
   double brent(double ax, double bx, double cx,    double brent(double ax, double bx, double cx, 
                double (*f)(double), double tol, double *xmin);                 double (*f)(double), double tol, double *xmin); 
   double f1dim(double x);    double f1dim(double x); 
   void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb,    void mnbrak(double *ax, double *bx, double *cx, double *fa, double *fb, 
               double *fc, double (*func)(double));                double *fc, double (*func)(double)); 
   int j;    int j; 
   double xx,xmin,bx,ax;    double xx,xmin,bx,ax; 
   double fx,fb,fa;    double fx,fb,fa;
     
   ncom=n;    ncom=n; 
   pcom=vector(1,n);    pcom=vector(1,n); 
   xicom=vector(1,n);    xicom=vector(1,n); 
   nrfunc=func;    nrfunc=func; 
   for (j=1;j<=n;j++) {    for (j=1;j<=n;j++) { 
     pcom[j]=p[j];      pcom[j]=p[j]; 
     xicom[j]=xi[j];      xicom[j]=xi[j]; 
   }    } 
   ax=0.0;    ax=0.0; 
   xx=1.0;    xx=1.0; 
   mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim);    mnbrak(&ax,&xx,&bx,&fa,&fx,&fb,f1dim); 
   *fret=brent(ax,xx,bx,f1dim,TOL,&xmin);    *fret=brent(ax,xx,bx,f1dim,TOL,&xmin); 
 #ifdef DEBUG  #ifdef DEBUG
   printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    printf("retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
   fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);    fprintf(ficlog,"retour brent fret=%.12e xmin=%.12e\n",*fret,xmin);
 #endif  #endif
   for (j=1;j<=n;j++) {    for (j=1;j<=n;j++) { 
     xi[j] *= xmin;      xi[j] *= xmin; 
     p[j] += xi[j];      p[j] += xi[j]; 
   }    } 
   free_vector(xicom,1,n);    free_vector(xicom,1,n); 
   free_vector(pcom,1,n);    free_vector(pcom,1,n); 
 }  } 
   
 /*************** powell ************************/  /*************** powell ************************/
 void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret,  void powell(double p[], double **xi, int n, double ftol, int *iter, double *fret, 
             double (*func)(double []))              double (*func)(double [])) 
 {  { 
   void linmin(double p[], double xi[], int n, double *fret,    void linmin(double p[], double xi[], int n, double *fret, 
               double (*func)(double []));                double (*func)(double [])); 
   int i,ibig,j;    int i,ibig,j; 
   double del,t,*pt,*ptt,*xit;    double del,t,*pt,*ptt,*xit;
   double fp,fptt;    double fp,fptt;
   double *xits;    double *xits;
   pt=vector(1,n);    pt=vector(1,n); 
   ptt=vector(1,n);    ptt=vector(1,n); 
   xit=vector(1,n);    xit=vector(1,n); 
   xits=vector(1,n);    xits=vector(1,n); 
   *fret=(*func)(p);    *fret=(*func)(p); 
   for (j=1;j<=n;j++) pt[j]=p[j];    for (j=1;j<=n;j++) pt[j]=p[j]; 
   for (*iter=1;;++(*iter)) {    for (*iter=1;;++(*iter)) { 
     fp=(*fret);      fp=(*fret); 
     ibig=0;      ibig=0; 
     del=0.0;      del=0.0; 
     printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);      printf("\nPowell iter=%d -2*LL=%.12f",*iter,*fret);
     fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f",*iter,*fret);      fprintf(ficlog,"\nPowell iter=%d -2*LL=%.12f",*iter,*fret);
     for (i=1;i<=n;i++)      for (i=1;i<=n;i++) 
       printf(" %d %.12f",i, p[i]);        printf(" %d %.12f",i, p[i]);
     fprintf(ficlog," %d %.12f",i, p[i]);      fprintf(ficlog," %d %.12f",i, p[i]);
     printf("\n");      printf("\n");
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
     for (i=1;i<=n;i++) {      for (i=1;i<=n;i++) { 
       for (j=1;j<=n;j++) xit[j]=xi[j][i];        for (j=1;j<=n;j++) xit[j]=xi[j][i]; 
       fptt=(*fret);        fptt=(*fret); 
 #ifdef DEBUG  #ifdef DEBUG
       printf("fret=%lf \n",*fret);        printf("fret=%lf \n",*fret);
       fprintf(ficlog,"fret=%lf \n",*fret);        fprintf(ficlog,"fret=%lf \n",*fret);
 #endif  #endif
       printf("%d",i);fflush(stdout);        printf("%d",i);fflush(stdout);
       fprintf(ficlog,"%d",i);fflush(ficlog);        fprintf(ficlog,"%d",i);fflush(ficlog);
       linmin(p,xit,n,fret,func);        linmin(p,xit,n,fret,func); 
       if (fabs(fptt-(*fret)) > del) {        if (fabs(fptt-(*fret)) > del) { 
         del=fabs(fptt-(*fret));          del=fabs(fptt-(*fret)); 
         ibig=i;          ibig=i; 
       }        } 
 #ifdef DEBUG  #ifdef DEBUG
       printf("%d %.12e",i,(*fret));        printf("%d %.12e",i,(*fret));
       fprintf(ficlog,"%d %.12e",i,(*fret));        fprintf(ficlog,"%d %.12e",i,(*fret));
       for (j=1;j<=n;j++) {        for (j=1;j<=n;j++) {
         xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);          xits[j]=FMAX(fabs(p[j]-pt[j]),1.e-5);
         printf(" x(%d)=%.12e",j,xit[j]);          printf(" x(%d)=%.12e",j,xit[j]);
         fprintf(ficlog," x(%d)=%.12e",j,xit[j]);          fprintf(ficlog," x(%d)=%.12e",j,xit[j]);
       }        }
       for(j=1;j<=n;j++) {        for(j=1;j<=n;j++) {
         printf(" p=%.12e",p[j]);          printf(" p=%.12e",p[j]);
         fprintf(ficlog," p=%.12e",p[j]);          fprintf(ficlog," p=%.12e",p[j]);
       }        }
       printf("\n");        printf("\n");
       fprintf(ficlog,"\n");        fprintf(ficlog,"\n");
 #endif  #endif
     }      } 
     if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {      if (2.0*fabs(fp-(*fret)) <= ftol*(fabs(fp)+fabs(*fret))) {
 #ifdef DEBUG  #ifdef DEBUG
       int k[2],l;        int k[2],l;
       k[0]=1;        k[0]=1;
       k[1]=-1;        k[1]=-1;
       printf("Max: %.12e",(*func)(p));        printf("Max: %.12e",(*func)(p));
       fprintf(ficlog,"Max: %.12e",(*func)(p));        fprintf(ficlog,"Max: %.12e",(*func)(p));
       for (j=1;j<=n;j++) {        for (j=1;j<=n;j++) {
         printf(" %.12e",p[j]);          printf(" %.12e",p[j]);
         fprintf(ficlog," %.12e",p[j]);          fprintf(ficlog," %.12e",p[j]);
       }        }
       printf("\n");        printf("\n");
       fprintf(ficlog,"\n");        fprintf(ficlog,"\n");
       for(l=0;l<=1;l++) {        for(l=0;l<=1;l++) {
         for (j=1;j<=n;j++) {          for (j=1;j<=n;j++) {
           ptt[j]=p[j]+(p[j]-pt[j])*k[l];            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]);            printf("l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
           fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);            fprintf(ficlog,"l=%d j=%d ptt=%.12e, xits=%.12e, p=%.12e, xit=%.12e", l,j,ptt[j],xits[j],p[j],xit[j]);
         }          }
         printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));          printf("func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
         fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));          fprintf(ficlog,"func(ptt)=%.12e, deriv=%.12e\n",(*func)(ptt),(ptt[j]-p[j])/((*func)(ptt)-(*func)(p)));
       }        }
 #endif  #endif
   
   
       free_vector(xit,1,n);        free_vector(xit,1,n); 
       free_vector(xits,1,n);        free_vector(xits,1,n); 
       free_vector(ptt,1,n);        free_vector(ptt,1,n); 
       free_vector(pt,1,n);        free_vector(pt,1,n); 
       return;        return; 
     }      } 
     if (*iter == ITMAX) nrerror("powell exceeding maximum iterations.");      if (*iter == ITMAX) nrerror("powell exceeding maximum iterations."); 
     for (j=1;j<=n;j++) {      for (j=1;j<=n;j++) { 
       ptt[j]=2.0*p[j]-pt[j];        ptt[j]=2.0*p[j]-pt[j]; 
       xit[j]=p[j]-pt[j];        xit[j]=p[j]-pt[j]; 
       pt[j]=p[j];        pt[j]=p[j]; 
     }      } 
     fptt=(*func)(ptt);      fptt=(*func)(ptt); 
     if (fptt < fp) {      if (fptt < fp) { 
       t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt);        t=2.0*(fp-2.0*(*fret)+fptt)*SQR(fp-(*fret)-del)-del*SQR(fp-fptt); 
       if (t < 0.0) {        if (t < 0.0) { 
         linmin(p,xit,n,fret,func);          linmin(p,xit,n,fret,func); 
         for (j=1;j<=n;j++) {          for (j=1;j<=n;j++) { 
           xi[j][ibig]=xi[j][n];            xi[j][ibig]=xi[j][n]; 
           xi[j][n]=xit[j];            xi[j][n]=xit[j]; 
         }          }
 #ifdef DEBUG  #ifdef DEBUG
         printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);          printf("Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
         fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);          fprintf(ficlog,"Direction changed  last moved %d in place of ibig=%d, new last is the average:\n",n,ibig);
         for(j=1;j<=n;j++){          for(j=1;j<=n;j++){
           printf(" %.12e",xit[j]);            printf(" %.12e",xit[j]);
           fprintf(ficlog," %.12e",xit[j]);            fprintf(ficlog," %.12e",xit[j]);
         }          }
         printf("\n");          printf("\n");
         fprintf(ficlog,"\n");          fprintf(ficlog,"\n");
 #endif  #endif
       }        }
     }      } 
   }    } 
 }  } 
   
 /**** Prevalence limit ****************/  /**** Prevalence limit (stable prevalence)  ****************/
   
 double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)  double **prevalim(double **prlim, int nlstate, double x[], double age, double **oldm, double **savm, double ftolpl, int ij)
 {  {
   /* Computes the prevalence limit in each live state at age x by left multiplying the unit    /* Computes the prevalence limit in each live state at age x by left multiplying the unit
      matrix by transitions matrix until convergence is reached */       matrix by transitions matrix until convergence is reached */
   
   int i, ii,j,k;    int i, ii,j,k;
   double min, max, maxmin, maxmax,sumnew=0.;    double min, max, maxmin, maxmax,sumnew=0.;
   double **matprod2();    double **matprod2();
   double **out, cov[NCOVMAX], **pmij();    double **out, cov[NCOVMAX], **pmij();
   double **newm;    double **newm;
   double agefin, delaymax=50 ; /* Max number of years to converge */    double agefin, delaymax=50 ; /* Max number of years to converge */
   
   for (ii=1;ii<=nlstate+ndeath;ii++)    for (ii=1;ii<=nlstate+ndeath;ii++)
     for (j=1;j<=nlstate+ndeath;j++){      for (j=1;j<=nlstate+ndeath;j++){
       oldm[ii][j]=(ii==j ? 1.0 : 0.0);        oldm[ii][j]=(ii==j ? 1.0 : 0.0);
     }      }
   
    cov[1]=1.;     cov[1]=1.;
     
  /* Even if hstepm = 1, at least one multiplication by the unit matrix */   /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){    for(agefin=age-stepm/YEARM; agefin>=age-delaymax; agefin=agefin-stepm/YEARM){
     newm=savm;      newm=savm;
     /* Covariates have to be included here again */      /* Covariates have to be included here again */
      cov[2]=agefin;       cov[2]=agefin;
      
       for (k=1; k<=cptcovn;k++) {        for (k=1; k<=cptcovn;k++) {
         cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];          cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
         /*      printf("ij=%d k=%d Tvar[k]=%d nbcode=%d cov=%lf codtab[ij][Tvar[k]]=%d \n",ij,k, Tvar[k],nbcode[Tvar[k]][codtab[ij][Tvar[k]]],cov[2+k], codtab[ij][Tvar[k]]);*/          /*      printf("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<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
       for (k=1; k<=cptcovprod;k++)        for (k=1; k<=cptcovprod;k++)
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   
       /*printf("ij=%d cptcovprod=%d tvar=%d ", ij, cptcovprod, Tvar[1]);*/        /*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]);*/        /*printf("ij=%d cov[3]=%lf cov[4]=%lf \n",ij, cov[3],cov[4]);*/
       /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/        /*printf("ij=%d cov[3]=%lf \n",ij, cov[3]);*/
     out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);      out=matprod2(newm, pmij(pmmij,cov,ncovmodel,x,nlstate),1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, oldm);
   
     savm=oldm;      savm=oldm;
     oldm=newm;      oldm=newm;
     maxmax=0.;      maxmax=0.;
     for(j=1;j<=nlstate;j++){      for(j=1;j<=nlstate;j++){
       min=1.;        min=1.;
       max=0.;        max=0.;
       for(i=1; i<=nlstate; i++) {        for(i=1; i<=nlstate; i++) {
         sumnew=0;          sumnew=0;
         for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];          for(k=1; k<=ndeath; k++) sumnew+=newm[i][nlstate+k];
         prlim[i][j]= newm[i][j]/(1-sumnew);          prlim[i][j]= newm[i][j]/(1-sumnew);
         max=FMAX(max,prlim[i][j]);          max=FMAX(max,prlim[i][j]);
         min=FMIN(min,prlim[i][j]);          min=FMIN(min,prlim[i][j]);
       }        }
       maxmin=max-min;        maxmin=max-min;
       maxmax=FMAX(maxmax,maxmin);        maxmax=FMAX(maxmax,maxmin);
     }      }
     if(maxmax < ftolpl){      if(maxmax < ftolpl){
       return prlim;        return prlim;
     }      }
   }    }
 }  }
   
 /*************** transition probabilities ***************/  /*************** transition probabilities ***************/ 
   
 double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )  double **pmij(double **ps, double *cov, int ncovmodel, double *x, int nlstate )
 {  {
   double s1, s2;    double s1, s2;
   /*double t34;*/    /*double t34;*/
   int i,j,j1, nc, ii, jj;    int i,j,j1, nc, ii, jj;
   
     for(i=1; i<= nlstate; i++){      for(i=1; i<= nlstate; i++){
     for(j=1; j<i;j++){      for(j=1; j<i;j++){
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){        for (nc=1, s2=0.;nc <=ncovmodel; nc++){
         /*s2 += param[i][j][nc]*cov[nc];*/          /*s2 += param[i][j][nc]*cov[nc];*/
         s2 += x[(i-1)*nlstate*ncovmodel+(j-1)*ncovmodel+nc+(i-1)*(ndeath-1)*ncovmodel]*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);*/          /*printf("Int j<i s1=%.17e, s2=%.17e\n",s1,s2);*/
       }        }
       ps[i][j]=s2;        ps[i][j]=s2;
       /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/        /*printf("s1=%.17e, s2=%.17e\n",s1,s2);*/
     }      }
     for(j=i+1; j<=nlstate+ndeath;j++){      for(j=i+1; j<=nlstate+ndeath;j++){
       for (nc=1, s2=0.;nc <=ncovmodel; nc++){        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];          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);*/          /*printf("Int j>i s1=%.17e, s2=%.17e %lx %lx\n",s1,s2,s1,s2);*/
       }        }
       ps[i][j]=s2;        ps[i][j]=s2;
     }      }
   }    }
     /*ps[3][2]=1;*/      /*ps[3][2]=1;*/
   
   for(i=1; i<= nlstate; i++){    for(i=1; i<= nlstate; i++){
      s1=0;       s1=0;
     for(j=1; j<i; j++)      for(j=1; j<i; j++)
       s1+=exp(ps[i][j]);        s1+=exp(ps[i][j]);
     for(j=i+1; j<=nlstate+ndeath; j++)      for(j=i+1; j<=nlstate+ndeath; j++)
       s1+=exp(ps[i][j]);        s1+=exp(ps[i][j]);
     ps[i][i]=1./(s1+1.);      ps[i][i]=1./(s1+1.);
     for(j=1; j<i; j++)      for(j=1; j<i; j++)
       ps[i][j]= exp(ps[i][j])*ps[i][i];        ps[i][j]= exp(ps[i][j])*ps[i][i];
     for(j=i+1; j<=nlstate+ndeath; j++)      for(j=i+1; j<=nlstate+ndeath; j++)
       ps[i][j]= exp(ps[i][j])*ps[i][i];        ps[i][j]= exp(ps[i][j])*ps[i][i];
     /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */      /* ps[i][nlstate+1]=1.-s1- ps[i][i];*/ /* Sum should be 1 */
   } /* end i */    } /* end i */
   
   for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){    for(ii=nlstate+1; ii<= nlstate+ndeath; ii++){
     for(jj=1; jj<= nlstate+ndeath; jj++){      for(jj=1; jj<= nlstate+ndeath; jj++){
       ps[ii][jj]=0;        ps[ii][jj]=0;
       ps[ii][ii]=1;        ps[ii][ii]=1;
     }      }
   }    }
   
   
   /*   for(ii=1; ii<= nlstate+ndeath; ii++){    /*   for(ii=1; ii<= nlstate+ndeath; ii++){
     for(jj=1; jj<= nlstate+ndeath; jj++){      for(jj=1; jj<= nlstate+ndeath; jj++){
      printf("%lf ",ps[ii][jj]);       printf("%lf ",ps[ii][jj]);
    }     }
     printf("\n ");      printf("\n ");
     }      }
     printf("\n ");printf("%lf ",cov[2]);*/      printf("\n ");printf("%lf ",cov[2]);*/
 /*  /*
   for(i=1; i<= npar; i++) printf("%f ",x[i]);    for(i=1; i<= npar; i++) printf("%f ",x[i]);
   goto end;*/    goto end;*/
     return ps;      return ps;
 }  }
   
 /**************** Product of 2 matrices ******************/  /**************** Product of 2 matrices ******************/
   
 double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)  double **matprod2(double **out, double **in,long nrl, long nrh, long ncl, long nch, long ncolol, long ncoloh, double **b)
 {  {
   /* Computes the matrix product of in(1,nrh-nrl+1)(1,nch-ncl+1) times    /* 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(...) */       b(1,nch-ncl+1)(1,ncoloh-ncolol+1) into out(...) */
   /* in, b, out are matrice of pointers which should have been initialized    /* in, b, out are matrice of pointers which should have been initialized 
      before: only the contents of out is modified. The function returns       before: only the contents of out is modified. The function returns
      a pointer to pointers identical to out */       a pointer to pointers identical to out */
   long i, j, k;    long i, j, k;
   for(i=nrl; i<= nrh; i++)    for(i=nrl; i<= nrh; i++)
     for(k=ncolol; k<=ncoloh; k++)      for(k=ncolol; k<=ncoloh; k++)
       for(j=ncl,out[i][k]=0.; j<=nch; j++)        for(j=ncl,out[i][k]=0.; j<=nch; j++)
         out[i][k] +=in[i][j]*b[j][k];          out[i][k] +=in[i][j]*b[j][k];
   
   return out;    return out;
 }  }
   
   
 /************* Higher Matrix Product ***************/  /************* Higher Matrix Product ***************/
   
 double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )  double ***hpxij(double ***po, int nhstepm, double age, int hstepm, double *x, int nlstate, int stepm, double **oldm, double **savm, int ij )
 {  {
   /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month    /* Computes the transition matrix starting at age 'age' over 'nhstepm*hstepm*stepm' month 
      duration (i.e. until       duration (i.e. until
      age (in years)  age+nhstepm*stepm/12) by multiplying nhstepm*hstepm matrices.       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       Output is stored in matrix po[i][j][h] for h every 'hstepm' step 
      (typically every 2 years instead of every month which is too big).       (typically every 2 years instead of every month which is too big).
      Model is determined by parameters x and covariates have to be       Model is determined by parameters x and covariates have to be 
      included manually here.       included manually here. 
   
      */       */
   
   int i, j, d, h, k;    int i, j, d, h, k;
   double **out, cov[NCOVMAX];    double **out, cov[NCOVMAX];
   double **newm;    double **newm;
   
   /* Hstepm could be zero and should return the unit matrix */    /* Hstepm could be zero and should return the unit matrix */
   for (i=1;i<=nlstate+ndeath;i++)    for (i=1;i<=nlstate+ndeath;i++)
     for (j=1;j<=nlstate+ndeath;j++){      for (j=1;j<=nlstate+ndeath;j++){
       oldm[i][j]=(i==j ? 1.0 : 0.0);        oldm[i][j]=(i==j ? 1.0 : 0.0);
       po[i][j][0]=(i==j ? 1.0 : 0.0);        po[i][j][0]=(i==j ? 1.0 : 0.0);
     }      }
   /* Even if hstepm = 1, at least one multiplication by the unit matrix */    /* Even if hstepm = 1, at least one multiplication by the unit matrix */
   for(h=1; h <=nhstepm; h++){    for(h=1; h <=nhstepm; h++){
     for(d=1; d <=hstepm; d++){      for(d=1; d <=hstepm; d++){
       newm=savm;        newm=savm;
       /* Covariates have to be included here again */        /* Covariates have to be included here again */
       cov[1]=1.;        cov[1]=1.;
       cov[2]=age+((h-1)*hstepm + (d-1))*stepm/YEARM;        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]]];        for (k=1; k<=cptcovn;k++) cov[2+k]=nbcode[Tvar[k]][codtab[ij][Tvar[k]]];
       for (k=1; k<=cptcovage;k++)        for (k=1; k<=cptcovage;k++)
         cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];          cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
       for (k=1; k<=cptcovprod;k++)        for (k=1; k<=cptcovprod;k++)
         cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];          cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
   
   
       /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/        /*printf("hxi cptcov=%d cptcode=%d\n",cptcov,cptcode);*/
       /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/        /*printf("h=%d d=%d age=%f cov=%f\n",h,d,age,cov[2]);*/
       out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath,        out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,1,nlstate+ndeath, 
                    pmij(pmmij,cov,ncovmodel,x,nlstate));                     pmij(pmmij,cov,ncovmodel,x,nlstate));
       savm=oldm;        savm=oldm;
       oldm=newm;        oldm=newm;
     }      }
     for(i=1; i<=nlstate+ndeath; i++)      for(i=1; i<=nlstate+ndeath; i++)
       for(j=1;j<=nlstate+ndeath;j++) {        for(j=1;j<=nlstate+ndeath;j++) {
         po[i][j][h]=newm[i][j];          po[i][j][h]=newm[i][j];
         /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);          /*printf("i=%d j=%d h=%d po[i][j][h]=%f ",i,j,h,po[i][j][h]);
          */           */
       }        }
   } /* end h */    } /* end h */
   return po;    return po;
 }  }
   
   
 /*************** log-likelihood *************/  /*************** log-likelihood *************/
 double func( double *x)  double func( double *x)
 {  {
   int i, ii, j, k, mi, d, kk;    int i, ii, j, k, mi, d, kk;
   double l, ll[NLSTATEMAX], cov[NCOVMAX];    double l, ll[NLSTATEMAX], cov[NCOVMAX];
   double **out;    double **out;
   double sw; /* Sum of weights */    double sw; /* Sum of weights */
   double lli; /* Individual log likelihood */    double lli; /* Individual log likelihood */
   long ipmx;    long ipmx;
   /*extern weight */    /*extern weight */
   /* We are differentiating ll according to initial status */    /* We are differentiating ll according to initial status */
   /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/    /*  for (i=1;i<=npar;i++) printf("%f ", x[i]);*/
   /*for(i=1;i<imx;i++)    /*for(i=1;i<imx;i++) 
     printf(" %d\n",s[4][i]);      printf(" %d\n",s[4][i]);
   */    */
   cov[1]=1.;    cov[1]=1.;
   
   for(k=1; k<=nlstate; k++) ll[k]=0.;    for(k=1; k<=nlstate; k++) ll[k]=0.;
   for (i=1,ipmx=0, sw=0.; i<=imx; 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 (k=1; k<=cptcovn;k++) cov[2+k]=covar[Tvar[k]][i];
     for(mi=1; mi<= wav[i]-1; mi++){      for(mi=1; mi<= wav[i]-1; mi++){
       for (ii=1;ii<=nlstate+ndeath;ii++)        for (ii=1;ii<=nlstate+ndeath;ii++)
         for (j=1;j<=nlstate+ndeath;j++) oldm[ii][j]=(ii==j ? 1.0 : 0.0);          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(d=0; d<dh[mi][i]; d++){
         newm=savm;          newm=savm;
         cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;          cov[2]=agev[mw[mi][i]][i]+d*stepm/YEARM;
         for (kk=1; kk<=cptcovage;kk++) {          for (kk=1; kk<=cptcovage;kk++) {
           cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];            cov[Tage[kk]+2]=covar[Tvar[Tage[kk]]][i]*cov[2];
         }          }
                  
         out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,          out=matprod2(newm,oldm,1,nlstate+ndeath,1,nlstate+ndeath,
                      1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));                       1,nlstate+ndeath,pmij(pmmij,cov,ncovmodel,x,nlstate));
         savm=oldm;          savm=oldm;
         oldm=newm;          oldm=newm;
                  
                  
       } /* end mult */        } /* end mult */
              
       lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);        lli=log(out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);
       /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/        /* printf(" %f ",out[s[mw[mi][i]][i]][s[mw[mi+1][i]][i]]);*/
       ipmx +=1;        ipmx +=1;
       sw += weight[i];        sw += weight[i];
       ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;        ll[s[mw[mi][i]][i]] += 2*weight[i]*lli;
     } /* end of wave */      } /* end of wave */
   } /* end of individual */    } /* end of individual */
   
   for(k=1,l=0.; k<=nlstate; k++) l += ll[k];    for(k=1,l=0.; k<=nlstate; k++) l += ll[k];
   /* printf("l1=%f l2=%f ",ll[1],ll[2]); */    /* printf("l1=%f l2=%f ",ll[1],ll[2]); */
   l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */    l= l*ipmx/sw; /* To get the same order of magnitude as if weight=1 for every body */
   return -l;    return -l;
 }  }
   
   
 /*********** Maximum Likelihood Estimation ***************/  /*********** Maximum Likelihood Estimation ***************/
   
 void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))  void mlikeli(FILE *ficres,double p[], int npar, int ncovmodel, int nlstate, double ftol, double (*func)(double []))
 {  {
   int i,j, iter;    int i,j, iter;
   double **xi,*delti;    double **xi,*delti;
   double fret;    double fret;
   xi=matrix(1,npar,1,npar);    xi=matrix(1,npar,1,npar);
   for (i=1;i<=npar;i++)    for (i=1;i<=npar;i++)
     for (j=1;j<=npar;j++)      for (j=1;j<=npar;j++)
       xi[i][j]=(i==j ? 1.0 : 0.0);        xi[i][j]=(i==j ? 1.0 : 0.0);
   printf("Powell\n");  fprintf(ficlog,"Powell\n");    printf("Powell\n");  fprintf(ficlog,"Powell\n");
   powell(p,xi,npar,ftol,&iter,&fret,func);    powell(p,xi,npar,ftol,&iter,&fret,func);
   
    printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));     printf("\n#Number of iterations = %d, -2 Log likelihood = %.12f\n",iter,func(p));
   fprintf(ficlog,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    fprintf(ficlog,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));    fprintf(ficres,"#Number of iterations = %d, -2 Log likelihood = %.12f \n",iter,func(p));
   
 }  }
   
 /**** Computes Hessian and covariance matrix ***/  /**** Computes Hessian and covariance matrix ***/
 void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))  void hesscov(double **matcov, double p[], int npar, double delti[], double ftolhess, double (*func)(double []))
 {  {
   double  **a,**y,*x,pd;    double  **a,**y,*x,pd;
   double **hess;    double **hess;
   int i, j,jk;    int i, j,jk;
   int *indx;    int *indx;
   
   double hessii(double p[], double delta, int theta, double delti[]);    double hessii(double p[], double delta, int theta, double delti[]);
   double hessij(double p[], double delti[], int i, int j);    double hessij(double p[], double delti[], int i, int j);
   void lubksb(double **a, int npar, int *indx, double b[]) ;    void lubksb(double **a, int npar, int *indx, double b[]) ;
   void ludcmp(double **a, int npar, int *indx, double *d) ;    void ludcmp(double **a, int npar, int *indx, double *d) ;
   
   hess=matrix(1,npar,1,npar);    hess=matrix(1,npar,1,npar);
   
   printf("\nCalculation of the hessian matrix. Wait...\n");    printf("\nCalculation of the hessian matrix. Wait...\n");
   fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");    fprintf(ficlog,"\nCalculation of the hessian matrix. Wait...\n");
   for (i=1;i<=npar;i++){    for (i=1;i<=npar;i++){
     printf("%d",i);fflush(stdout);      printf("%d",i);fflush(stdout);
     fprintf(ficlog,"%d",i);fflush(ficlog);      fprintf(ficlog,"%d",i);fflush(ficlog);
     hess[i][i]=hessii(p,ftolhess,i,delti);      hess[i][i]=hessii(p,ftolhess,i,delti);
     /*printf(" %f ",p[i]);*/      /*printf(" %f ",p[i]);*/
     /*printf(" %lf ",hess[i][i]);*/      /*printf(" %lf ",hess[i][i]);*/
   }    }
      
   for (i=1;i<=npar;i++) {    for (i=1;i<=npar;i++) {
     for (j=1;j<=npar;j++)  {      for (j=1;j<=npar;j++)  {
       if (j>i) {        if (j>i) { 
         printf(".%d%d",i,j);fflush(stdout);          printf(".%d%d",i,j);fflush(stdout);
         fprintf(ficlog,".%d%d",i,j);fflush(ficlog);          fprintf(ficlog,".%d%d",i,j);fflush(ficlog);
         hess[i][j]=hessij(p,delti,i,j);          hess[i][j]=hessij(p,delti,i,j);
         hess[j][i]=hess[i][j];              hess[j][i]=hess[i][j];    
         /*printf(" %lf ",hess[i][j]);*/          /*printf(" %lf ",hess[i][j]);*/
       }        }
     }      }
   }    }
   printf("\n");    printf("\n");
   fprintf(ficlog,"\n");    fprintf(ficlog,"\n");
   
   printf("\nInverting the hessian to get the covariance matrix. Wait...\n");    printf("\nInverting the hessian to get the covariance matrix. Wait...\n");
   fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");    fprintf(ficlog,"\nInverting the hessian to get the covariance matrix. Wait...\n");
      
   a=matrix(1,npar,1,npar);    a=matrix(1,npar,1,npar);
   y=matrix(1,npar,1,npar);    y=matrix(1,npar,1,npar);
   x=vector(1,npar);    x=vector(1,npar);
   indx=ivector(1,npar);    indx=ivector(1,npar);
   for (i=1;i<=npar;i++)    for (i=1;i<=npar;i++)
     for (j=1;j<=npar;j++) a[i][j]=hess[i][j];      for (j=1;j<=npar;j++) a[i][j]=hess[i][j];
   ludcmp(a,npar,indx,&pd);    ludcmp(a,npar,indx,&pd);
   
   for (j=1;j<=npar;j++) {    for (j=1;j<=npar;j++) {
     for (i=1;i<=npar;i++) x[i]=0;      for (i=1;i<=npar;i++) x[i]=0;
     x[j]=1;      x[j]=1;
     lubksb(a,npar,indx,x);      lubksb(a,npar,indx,x);
     for (i=1;i<=npar;i++){      for (i=1;i<=npar;i++){ 
       matcov[i][j]=x[i];        matcov[i][j]=x[i];
     }      }
   }    }
   
   printf("\n#Hessian matrix#\n");    printf("\n#Hessian matrix#\n");
   fprintf(ficlog,"\n#Hessian matrix#\n");    fprintf(ficlog,"\n#Hessian matrix#\n");
   for (i=1;i<=npar;i++) {    for (i=1;i<=npar;i++) { 
     for (j=1;j<=npar;j++) {      for (j=1;j<=npar;j++) { 
       printf("%.3e ",hess[i][j]);        printf("%.3e ",hess[i][j]);
       fprintf(ficlog,"%.3e ",hess[i][j]);        fprintf(ficlog,"%.3e ",hess[i][j]);
     }      }
     printf("\n");      printf("\n");
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
   }    }
   
   /* Recompute Inverse */    /* Recompute Inverse */
   for (i=1;i<=npar;i++)    for (i=1;i<=npar;i++)
     for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];      for (j=1;j<=npar;j++) a[i][j]=matcov[i][j];
   ludcmp(a,npar,indx,&pd);    ludcmp(a,npar,indx,&pd);
   
   /*  printf("\n#Hessian matrix recomputed#\n");    /*  printf("\n#Hessian matrix recomputed#\n");
   
   for (j=1;j<=npar;j++) {    for (j=1;j<=npar;j++) {
     for (i=1;i<=npar;i++) x[i]=0;      for (i=1;i<=npar;i++) x[i]=0;
     x[j]=1;      x[j]=1;
     lubksb(a,npar,indx,x);      lubksb(a,npar,indx,x);
     for (i=1;i<=npar;i++){      for (i=1;i<=npar;i++){ 
       y[i][j]=x[i];        y[i][j]=x[i];
       printf("%.3e ",y[i][j]);        printf("%.3e ",y[i][j]);
       fprintf(ficlog,"%.3e ",y[i][j]);        fprintf(ficlog,"%.3e ",y[i][j]);
     }      }
     printf("\n");      printf("\n");
     fprintf(ficlog,"\n");      fprintf(ficlog,"\n");
   }    }
   */    */
   
   free_matrix(a,1,npar,1,npar);    free_matrix(a,1,npar,1,npar);
   free_matrix(y,1,npar,1,npar);    free_matrix(y,1,npar,1,npar);
   free_vector(x,1,npar);    free_vector(x,1,npar);
   free_ivector(indx,1,npar);    free_ivector(indx,1,npar);
   free_matrix(hess,1,npar,1,npar);    free_matrix(hess,1,npar,1,npar);
   
   
 }  }
   
 /*************** hessian matrix ****************/  /*************** hessian matrix ****************/
 double hessii( double x[], double delta, int theta, double delti[])  double hessii( double x[], double delta, int theta, double delti[])
 {  {
   int i;    int i;
   int l=1, lmax=20;    int l=1, lmax=20;
   double k1,k2;    double k1,k2;
   double p2[NPARMAX+1];    double p2[NPARMAX+1];
   double res;    double res;
   double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;    double delt, delts, nkhi=10.,nkhif=1., khi=1.e-4;
   double fx;    double fx;
   int k=0,kmax=10;    int k=0,kmax=10;
   double l1;    double l1;
   
   fx=func(x);    fx=func(x);
   for (i=1;i<=npar;i++) p2[i]=x[i];    for (i=1;i<=npar;i++) p2[i]=x[i];
   for(l=0 ; l <=lmax; l++){    for(l=0 ; l <=lmax; l++){
     l1=pow(10,l);      l1=pow(10,l);
     delts=delt;      delts=delt;
     for(k=1 ; k <kmax; k=k+1){      for(k=1 ; k <kmax; k=k+1){
       delt = delta*(l1*k);        delt = delta*(l1*k);
       p2[theta]=x[theta] +delt;        p2[theta]=x[theta] +delt;
       k1=func(p2)-fx;        k1=func(p2)-fx;
       p2[theta]=x[theta]-delt;        p2[theta]=x[theta]-delt;
       k2=func(p2)-fx;        k2=func(p2)-fx;
       /*res= (k1-2.0*fx+k2)/delt/delt; */        /*res= (k1-2.0*fx+k2)/delt/delt; */
       res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */        res= (k1+k2)/delt/delt/2.; /* Divided by because L and not 2*L */
              
 #ifdef DEBUG  #ifdef DEBUG
       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);        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);
       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);        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);
 #endif  #endif
       /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */        /*if(fabs(k1-2.0*fx+k2) <1.e-13){ */
       if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){        if((k1 <khi/nkhi/2.) || (k2 <khi/nkhi/2.)){
         k=kmax;          k=kmax;
       }        }
       else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */        else if((k1 >khi/nkhif) || (k2 >khi/nkhif)){ /* Keeps lastvalue before 3.84/2 KHI2 5% 1d.f. */
         k=kmax; l=lmax*10.;          k=kmax; l=lmax*10.;
       }        }
       else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){        else if((k1 >khi/nkhi) || (k2 >khi/nkhi)){ 
         delts=delt;          delts=delt;
       }        }
     }      }
   }    }
   delti[theta]=delts;    delti[theta]=delts;
   return res;    return res; 
      
 }  }
   
 double hessij( double x[], double delti[], int thetai,int thetaj)  double hessij( double x[], double delti[], int thetai,int thetaj)
 {  {
   int i;    int i;
   int l=1, l1, lmax=20;    int l=1, l1, lmax=20;
   double k1,k2,k3,k4,res,fx;    double k1,k2,k3,k4,res,fx;
   double p2[NPARMAX+1];    double p2[NPARMAX+1];
   int k;    int k;
   
   fx=func(x);    fx=func(x);
   for (k=1; k<=2; k++) {    for (k=1; k<=2; k++) {
     for (i=1;i<=npar;i++) p2[i]=x[i];      for (i=1;i<=npar;i++) p2[i]=x[i];
     p2[thetai]=x[thetai]+delti[thetai]/k;      p2[thetai]=x[thetai]+delti[thetai]/k;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     k1=func(p2)-fx;      k1=func(p2)-fx;
      
     p2[thetai]=x[thetai]+delti[thetai]/k;      p2[thetai]=x[thetai]+delti[thetai]/k;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     k2=func(p2)-fx;      k2=func(p2)-fx;
      
     p2[thetai]=x[thetai]-delti[thetai]/k;      p2[thetai]=x[thetai]-delti[thetai]/k;
     p2[thetaj]=x[thetaj]+delti[thetaj]/k;      p2[thetaj]=x[thetaj]+delti[thetaj]/k;
     k3=func(p2)-fx;      k3=func(p2)-fx;
      
     p2[thetai]=x[thetai]-delti[thetai]/k;      p2[thetai]=x[thetai]-delti[thetai]/k;
     p2[thetaj]=x[thetaj]-delti[thetaj]/k;      p2[thetaj]=x[thetaj]-delti[thetaj]/k;
     k4=func(p2)-fx;      k4=func(p2)-fx;
     res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */      res=(k1-k2-k3+k4)/4.0/delti[thetai]*k/delti[thetaj]*k/2.; /* Because of L not 2*L */
 #ifdef DEBUG  #ifdef DEBUG
     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);      printf("%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);
     fprintf(ficlog,"%d %d k=%d, k1=%.12e k2=%.12e k3=%.12e k4=%.12e delti/k=%.12e deltj/k=%.12e, xi-de/k=%.12e xj-de/k=%.12e  res=%.12e k1234=%.12e,k1-2=%.12e,k3-4=%.12e\n",thetai,thetaj,k,k1,k2,k3,k4,delti[thetai]/k,delti[thetaj]/k,x[thetai]-delti[thetai]/k,x[thetaj]-delti[thetaj]/k, res,k1-k2-k3+k4,k1-k2,k3-k4);      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);
 #endif  #endif
   }    }
   return res;    return res;
 }  }
   
 /************** Inverse of matrix **************/  /************** Inverse of matrix **************/
 void ludcmp(double **a, int n, int *indx, double *d)  void ludcmp(double **a, int n, int *indx, double *d) 
 {  { 
   int i,imax,j,k;    int i,imax,j,k; 
   double big,dum,sum,temp;    double big,dum,sum,temp; 
   double *vv;    double *vv; 
     
   vv=vector(1,n);    vv=vector(1,n); 
   *d=1.0;    *d=1.0; 
   for (i=1;i<=n;i++) {    for (i=1;i<=n;i++) { 
     big=0.0;      big=0.0; 
     for (j=1;j<=n;j++)      for (j=1;j<=n;j++) 
       if ((temp=fabs(a[i][j])) > big) big=temp;        if ((temp=fabs(a[i][j])) > big) big=temp; 
     if (big == 0.0) nrerror("Singular matrix in routine ludcmp");      if (big == 0.0) nrerror("Singular matrix in routine ludcmp"); 
     vv[i]=1.0/big;      vv[i]=1.0/big; 
   }    } 
   for (j=1;j<=n;j++) {    for (j=1;j<=n;j++) { 
     for (i=1;i<j;i++) {      for (i=1;i<j;i++) { 
       sum=a[i][j];        sum=a[i][j]; 
       for (k=1;k<i;k++) sum -= a[i][k]*a[k][j];        for (k=1;k<i;k++) sum -= a[i][k]*a[k][j]; 
       a[i][j]=sum;        a[i][j]=sum; 
     }      } 
     big=0.0;      big=0.0; 
     for (i=j;i<=n;i++) {      for (i=j;i<=n;i++) { 
       sum=a[i][j];        sum=a[i][j]; 
       for (k=1;k<j;k++)        for (k=1;k<j;k++) 
         sum -= a[i][k]*a[k][j];          sum -= a[i][k]*a[k][j]; 
       a[i][j]=sum;        a[i][j]=sum; 
       if ( (dum=vv[i]*fabs(sum)) >= big) {        if ( (dum=vv[i]*fabs(sum)) >= big) { 
         big=dum;          big=dum; 
         imax=i;          imax=i; 
       }        } 
     }      } 
     if (j != imax) {      if (j != imax) { 
       for (k=1;k<=n;k++) {        for (k=1;k<=n;k++) { 
         dum=a[imax][k];          dum=a[imax][k]; 
         a[imax][k]=a[j][k];          a[imax][k]=a[j][k]; 
         a[j][k]=dum;          a[j][k]=dum; 
       }        } 
       *d = -(*d);        *d = -(*d); 
       vv[imax]=vv[j];        vv[imax]=vv[j]; 
     }      } 
     indx[j]=imax;      indx[j]=imax; 
     if (a[j][j] == 0.0) a[j][j]=TINY;      if (a[j][j] == 0.0) a[j][j]=TINY; 
     if (j != n) {      if (j != n) { 
       dum=1.0/(a[j][j]);        dum=1.0/(a[j][j]); 
       for (i=j+1;i<=n;i++) a[i][j] *= dum;        for (i=j+1;i<=n;i++) a[i][j] *= dum; 
     }      } 
   }    } 
   free_vector(vv,1,n);  /* Doesn't work */    free_vector(vv,1,n);  /* Doesn't work */
 ;  ;
 }  } 
   
 void lubksb(double **a, int n, int *indx, double b[])  void lubksb(double **a, int n, int *indx, double b[]) 
 {  { 
   int i,ii=0,ip,j;    int i,ii=0,ip,j; 
   double sum;    double sum; 
     
   for (i=1;i<=n;i++) {    for (i=1;i<=n;i++) { 
     ip=indx[i];      ip=indx[i]; 
     sum=b[ip];      sum=b[ip]; 
     b[ip]=b[i];      b[ip]=b[i]; 
     if (ii)      if (ii) 
       for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j];        for (j=ii;j<=i-1;j++) sum -= a[i][j]*b[j]; 
     else if (sum) ii=i;      else if (sum) ii=i; 
     b[i]=sum;      b[i]=sum; 
   }    } 
   for (i=n;i>=1;i--) {    for (i=n;i>=1;i--) { 
     sum=b[i];      sum=b[i]; 
     for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j];      for (j=i+1;j<=n;j++) sum -= a[i][j]*b[j]; 
     b[i]=sum/a[i][i];      b[i]=sum/a[i][i]; 
   }    } 
 }  } 
   
 /************ Frequencies ********************/  /************ Frequencies ********************/
 void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2,double jprev1, double mprev1,double anprev1,double jprev2, double mprev2,double anprev2)  void  freqsummary(char fileres[], int agemin, int agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, 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 */  {  /* Some frequencies */
      
   int i, m, jk, k1,i1, j1, bool, z1,z2,j;    int i, m, jk, k1,i1, j1, bool, z1,z2,j;
   int first;    int first;
   double ***freq; /* Frequencies */    double ***freq; /* Frequencies */
   double *pp;    double *pp;
   double pos, k2, dateintsum=0,k2cpt=0;    double pos, k2, dateintsum=0,k2cpt=0;
   FILE *ficresp;    FILE *ficresp;
   char fileresp[FILENAMELENGTH];    char fileresp[FILENAMELENGTH];
      
   pp=vector(1,nlstate);    pp=vector(1,nlstate);
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);
   strcpy(fileresp,"p");    strcpy(fileresp,"p");
   strcat(fileresp,fileres);    strcat(fileresp,fileres);
   if((ficresp=fopen(fileresp,"w"))==NULL) {    if((ficresp=fopen(fileresp,"w"))==NULL) {
     printf("Problem with prevalence resultfile: %s\n", fileresp);      printf("Problem with prevalence resultfile: %s\n", fileresp);
     fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);      fprintf(ficlog,"Problem with prevalence resultfile: %s\n", fileresp);
     exit(0);      exit(0);
   }    }
   freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);    freq= ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);
   j1=0;    j1=0;
      
   j=cptcoveff;    j=cptcoveff;
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   
   first=1;    first=1;
   
   for(k1=1; k1<=j;k1++){    for(k1=1; k1<=j;k1++){
     for(i1=1; i1<=ncodemax[k1];i1++){      for(i1=1; i1<=ncodemax[k1];i1++){
       j1++;        j1++;
       /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);        /*printf("cptcoveff=%d Tvaraff=%d", cptcoveff,Tvaraff[1]);
         scanf("%d", i);*/          scanf("%d", i);*/
       for (i=-1; i<=nlstate+ndeath; i++)          for (i=-1; i<=nlstate+ndeath; i++)  
         for (jk=-1; jk<=nlstate+ndeath; jk++)            for (jk=-1; jk<=nlstate+ndeath; jk++)  
           for(m=agemin; m <= agemax+3; m++)            for(m=agemin; m <= agemax+3; m++)
             freq[i][jk][m]=0;              freq[i][jk][m]=0;
              
       dateintsum=0;        dateintsum=0;
       k2cpt=0;        k2cpt=0;
       for (i=1; i<=imx; i++) {        for (i=1; i<=imx; i++) {
         bool=1;          bool=1;
         if  (cptcovn>0) {          if  (cptcovn>0) {
           for (z1=1; z1<=cptcoveff; z1++)            for (z1=1; z1<=cptcoveff; z1++) 
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
               bool=0;                bool=0;
         }          }
         if (bool==1) {          if (bool==1) {
           for(m=firstpass; m<=lastpass; m++){            for(m=firstpass; m<=lastpass; m++){
             k2=anint[m][i]+(mint[m][i]/12.);              k2=anint[m][i]+(mint[m][i]/12.);
             if ((k2>=dateprev1) && (k2<=dateprev2)) {              if ((k2>=dateprev1) && (k2<=dateprev2)) {
               if(agev[m][i]==0) agev[m][i]=agemax+1;                if(agev[m][i]==0) agev[m][i]=agemax+1;
               if(agev[m][i]==1) agev[m][i]=agemax+2;                if(agev[m][i]==1) agev[m][i]=agemax+2;
               if (m<lastpass) {                if (m<lastpass) {
                 freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];                  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];                  freq[s[m][i]][s[m+1][i]][(int) agemax+3] += weight[i];
               }                }
                              
               if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {                if ((agev[m][i]>1) && (agev[m][i]< (agemax+3))) {
                 dateintsum=dateintsum+k2;                  dateintsum=dateintsum+k2;
                 k2cpt++;                  k2cpt++;
               }                }
             }              }
           }            }
         }          }
       }        }
                 
       fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);        fprintf(ficresp, "#Count between %.lf/%.lf/%.lf and %.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);
   
       if  (cptcovn>0) {        if  (cptcovn>0) {
         fprintf(ficresp, "\n#********** Variable ");          fprintf(ficresp, "\n#********** Variable "); 
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresp, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
         fprintf(ficresp, "**********\n#");          fprintf(ficresp, "**********\n#");
       }        }
       for(i=1; i<=nlstate;i++)        for(i=1; i<=nlstate;i++) 
         fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);          fprintf(ficresp, " Age Prev(%d) N(%d) N",i,i);
       fprintf(ficresp, "\n");        fprintf(ficresp, "\n");
              
       for(i=(int)agemin; i <= (int)agemax+3; i++){        for(i=(int)agemin; i <= (int)agemax+3; i++){
         if(i==(int)agemax+3){          if(i==(int)agemax+3){
           fprintf(ficlog,"Total");            fprintf(ficlog,"Total");
         }else{          }else{
           if(first==1){            if(first==1){
             first=0;              first=0;
             printf("See log file for details...\n");              printf("See log file for details...\n");
           }            }
           fprintf(ficlog,"Age %d", i);            fprintf(ficlog,"Age %d", i);
         }          }
         for(jk=1; jk <=nlstate ; jk++){          for(jk=1; jk <=nlstate ; jk++){
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
             pp[jk] += freq[jk][m][i];              pp[jk] += freq[jk][m][i]; 
         }          }
         for(jk=1; jk <=nlstate ; jk++){          for(jk=1; jk <=nlstate ; jk++){
           for(m=-1, pos=0; m <=0 ; m++)            for(m=-1, pos=0; m <=0 ; m++)
             pos += freq[jk][m][i];              pos += freq[jk][m][i];
           if(pp[jk]>=1.e-10){            if(pp[jk]>=1.e-10){
             if(first==1){              if(first==1){
             printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);              printf(" %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
             }              }
             fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);              fprintf(ficlog," %d.=%.0f loss[%d]=%.1f%%",jk,pp[jk],jk,100*pos/pp[jk]);
           }else{            }else{
             if(first==1)              if(first==1)
               printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);                printf(" %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
             fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);              fprintf(ficlog," %d.=%.0f loss[%d]=NaNQ%%",jk,pp[jk],jk);
           }            }
         }          }
   
         for(jk=1; jk <=nlstate ; jk++){          for(jk=1; jk <=nlstate ; jk++){
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
             pp[jk] += freq[jk][m][i];              pp[jk] += freq[jk][m][i];
         }          }
   
         for(jk=1,pos=0; jk <=nlstate ; jk++)          for(jk=1,pos=0; jk <=nlstate ; jk++)
           pos += pp[jk];            pos += pp[jk];
         for(jk=1; jk <=nlstate ; jk++){          for(jk=1; jk <=nlstate ; jk++){
           if(pos>=1.e-5){            if(pos>=1.e-5){
             if(first==1)              if(first==1)
               printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);                printf(" %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
             fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);              fprintf(ficlog," %d.=%.0f prev[%d]=%.1f%%",jk,pp[jk],jk,100*pp[jk]/pos);
           }else{            }else{
             if(first==1)              if(first==1)
               printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);                printf(" %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
             fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);              fprintf(ficlog," %d.=%.0f prev[%d]=NaNQ%%",jk,pp[jk],jk);
           }            }
           if( i <= (int) agemax){            if( i <= (int) agemax){
             if(pos>=1.e-5){              if(pos>=1.e-5){
               fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);                fprintf(ficresp," %d %.5f %.0f %.0f",i,pp[jk]/pos, pp[jk],pos);
               probs[i][jk][j1]= pp[jk]/pos;                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]);*/                /*printf("\ni=%d jk=%d j1=%d %.5f %.0f %.0f %f",i,jk,j1,pp[jk]/pos, pp[jk],pos,probs[i][jk][j1]);*/
             }              }
             else              else
               fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);                fprintf(ficresp," %d NaNq %.0f %.0f",i,pp[jk],pos);
           }            }
         }          }
                  
         for(jk=-1; jk <=nlstate+ndeath; jk++)          for(jk=-1; jk <=nlstate+ndeath; jk++)
           for(m=-1; m <=nlstate+ndeath; m++)            for(m=-1; m <=nlstate+ndeath; m++)
             if(freq[jk][m][i] !=0 ) {              if(freq[jk][m][i] !=0 ) {
             if(first==1)              if(first==1)
               printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);                printf(" %d%d=%.0f",jk,m,freq[jk][m][i]);
               fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);                fprintf(ficlog," %d%d=%.0f",jk,m,freq[jk][m][i]);
             }              }
         if(i <= (int) agemax)          if(i <= (int) agemax)
           fprintf(ficresp,"\n");            fprintf(ficresp,"\n");
         if(first==1)          if(first==1)
           printf("Others in log...\n");            printf("Others in log...\n");
         fprintf(ficlog,"\n");          fprintf(ficlog,"\n");
       }        }
     }      }
   }    }
   dateintmean=dateintsum/k2cpt;    dateintmean=dateintsum/k2cpt; 
     
   fclose(ficresp);    fclose(ficresp);
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);
   free_vector(pp,1,nlstate);    free_vector(pp,1,nlstate);
      
   /* End of Freq */    /* End of Freq */
 }  }
   
 /************ Prevalence ********************/  /************ Prevalence ********************/
 void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)  void prevalence(int agemin, float agemax, int **s, double **agev, int nlstate, int imx, int *Tvar, int **nbcode, int *ncodemax,double **mint,double **anint, double dateprev1,double dateprev2, double calagedate)
 {  /* Some frequencies */  {  /* Some frequencies */
     
   int i, m, jk, k1, i1, j1, bool, z1,z2,j;    int i, m, jk, k1, i1, j1, bool, z1,z2,j;
   double ***freq; /* Frequencies */    double ***freq; /* Frequencies */
   double *pp;    double *pp;
   double pos, k2;    double pos, k2;
   
   pp=vector(1,nlstate);    pp=vector(1,nlstate);
   probs= ma3x(1,AGESUP,1,NCOVMAX, 1,NCOVMAX);    
      freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);
   freq=ma3x(-1,nlstate+ndeath,-1,nlstate+ndeath,agemin,agemax+3);    j1=0;
   j1=0;    
      j=cptcoveff;
   j=cptcoveff;    if (cptcovn<1) {j=1;ncodemax[1]=1;}
   if (cptcovn<1) {j=1;ncodemax[1]=1;}    
      for(k1=1; k1<=j;k1++){
   for(k1=1; k1<=j;k1++){      for(i1=1; i1<=ncodemax[k1];i1++){
     for(i1=1; i1<=ncodemax[k1];i1++){        j1++;
       j1++;        
              for (i=-1; i<=nlstate+ndeath; i++)  
       for (i=-1; i<=nlstate+ndeath; i++)            for (jk=-1; jk<=nlstate+ndeath; jk++)  
         for (jk=-1; jk<=nlstate+ndeath; jk++)              for(m=agemin; m <= agemax+3; m++)
           for(m=agemin; m <= agemax+3; m++)              freq[i][jk][m]=0;
             freq[i][jk][m]=0;       
              for (i=1; i<=imx; i++) {
       for (i=1; i<=imx; i++) {          bool=1;
         bool=1;          if  (cptcovn>0) {
         if  (cptcovn>0) {            for (z1=1; z1<=cptcoveff; z1++) 
           for (z1=1; z1<=cptcoveff; z1++)              if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]]) 
             if (covar[Tvaraff[z1]][i]!= nbcode[Tvaraff[z1]][codtab[j1][z1]])                bool=0;
               bool=0;          } 
         }          if (bool==1) { 
         if (bool==1) {            for(m=firstpass; m<=lastpass; m++){
           for(m=firstpass; m<=lastpass; m++){              k2=anint[m][i]+(mint[m][i]/12.);
             k2=anint[m][i]+(mint[m][i]/12.);              if ((k2>=dateprev1) && (k2<=dateprev2)) {
             if ((k2>=dateprev1) && (k2<=dateprev2)) {                if(agev[m][i]==0) agev[m][i]=agemax+1;
               if(agev[m][i]==0) agev[m][i]=agemax+1;                if(agev[m][i]==1) agev[m][i]=agemax+2;
               if(agev[m][i]==1) agev[m][i]=agemax+2;                if (m<lastpass) {
               if (m<lastpass) {                  if (calagedate>0) 
                 if (calagedate>0)                    freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];
                   freq[s[m][i]][s[m+1][i]][(int)(agev[m][i]+1-((int)calagedate %12)/12.)] += weight[i];                  else
                 else                    freq[s[m][i]][s[m+1][i]][(int)agev[m][i]] += weight[i];
                   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]; 
                 freq[s[m][i]][s[m+1][i]][(int)(agemax+3)] += weight[i];                }
               }              }
             }            }
           }          }
         }        }
       }        for(i=(int)agemin; i <= (int)agemax+3; i++){ 
       for(i=(int)agemin; i <= (int)agemax+3; i++){          for(jk=1; jk <=nlstate ; jk++){
         for(jk=1; jk <=nlstate ; jk++){            for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)
           for(m=-1, pp[jk]=0; m <=nlstate+ndeath ; m++)              pp[jk] += freq[jk][m][i]; 
             pp[jk] += freq[jk][m][i];          }
         }          for(jk=1; jk <=nlstate ; jk++){
         for(jk=1; jk <=nlstate ; jk++){            for(m=-1, pos=0; m <=0 ; m++)
           for(m=-1, pos=0; m <=0 ; m++)              pos += freq[jk][m][i];
             pos += freq[jk][m][i];          }
         }          
                  for(jk=1; jk <=nlstate ; jk++){
         for(jk=1; jk <=nlstate ; jk++){            for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)
           for(m=0, pp[jk]=0; m <=nlstate+ndeath; m++)              pp[jk] += freq[jk][m][i];
             pp[jk] += freq[jk][m][i];          }
         }          
                  for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];
         for(jk=1,pos=0; jk <=nlstate ; jk++) pos += pp[jk];          
                  for(jk=1; jk <=nlstate ; jk++){    
         for(jk=1; jk <=nlstate ; jk++){                if( i <= (int) agemax){
           if( i <= (int) agemax){              if(pos>=1.e-5){
             if(pos>=1.e-5){                probs[i][jk][j1]= pp[jk]/pos;
               probs[i][jk][j1]= pp[jk]/pos;              }
             }            }
           }          }/* end jk */
         }/* end jk */        }/* end i */
       }/* end i */      } /* end i1 */
     } /* end i1 */    } /* end k1 */
   } /* end k1 */  
     
      free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);
   free_ma3x(freq,-1,nlstate+ndeath,-1,nlstate+ndeath,(int) agemin,(int) agemax+3);    free_vector(pp,1,nlstate);
   free_vector(pp,1,nlstate);    
    }  /* End of Freq */
 }  /* End of Freq */  
   /************* Waves Concatenation ***************/
 /************* 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)
 void  concatwav(int wav[], int **dh, int **mw, int **s, double *agedc, double **agev, int  firstpass, int lastpass, int imx, int nlstate, int stepm)  {
 {    /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.
   /* Concatenates waves: wav[i] is the number of effective (useful waves) of individual i.       Death is a valid wave (if date is known).
      Death is a valid wave (if date is known).       mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i
      mw[mi][i] is the mi (mi=1 to wav[i])  effective wave of individual i       dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]
      dh[m][i] of dh[mw[mi][i][i] is the delay between two effective waves m=mw[mi][i]       and mw[mi+1][i]. dh depends on stepm.
      and mw[mi+1][i]. dh depends on stepm.       */
      */  
     int i, mi, m;
   int i, mi, m;    /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;
   /* int j, k=0,jk, ju, jl,jmin=1e+5, jmax=-1;       double sum=0., jmean=0.;*/
      double sum=0., jmean=0.;*/    int first;
   int first;    int j, k=0,jk, ju, jl;
   int j, k=0,jk, ju, jl;    double sum=0.;
   double sum=0.;    first=0;
   first=0;    jmin=1e+5;
   jmin=1e+5;    jmax=-1;
   jmax=-1;    jmean=0.;
   jmean=0.;    for(i=1; i<=imx; i++){
   for(i=1; i<=imx; i++){      mi=0;
     mi=0;      m=firstpass;
     m=firstpass;      while(s[m][i] <= nlstate){
     while(s[m][i] <= nlstate){        if(s[m][i]>=1)
       if(s[m][i]>=1)          mw[++mi][i]=m;
         mw[++mi][i]=m;        if(m >=lastpass)
       if(m >=lastpass)          break;
         break;        else
       else          m++;
         m++;      }/* end while */
     }/* end while */      if (s[m][i] > nlstate){
     if (s[m][i] > nlstate){        mi++;     /* Death is another wave */
       mi++;     /* Death is another wave */        /* if(mi==0)  never been interviewed correctly before death */
       /* if(mi==0)  never been interviewed correctly before death */           /* Only death is a correct wave */
          /* Only death is a correct wave */        mw[mi][i]=m;
       mw[mi][i]=m;      }
     }  
       wav[i]=mi;
     wav[i]=mi;      if(mi==0){
     if(mi==0){        if(first==0){
       if(first==0){          printf("Warning, no any valid information for:%d line=%d and may be others, see log file\n",num[i],i);
         printf("Warning, no any valid information for:%d line=%d and may be others, see log file\n",num[i],i);          first=1;
         first=1;        }
       }        if(first==1){
       if(first==1){          fprintf(ficlog,"Warning, no any valid information for:%d line=%d\n",num[i],i);
         fprintf(ficlog,"Warning, no any valid information for:%d line=%d\n",num[i],i);        }
       }      } /* end mi==0 */
     } /* end mi==0 */    }
   }  
     for(i=1; i<=imx; i++){
   for(i=1; i<=imx; i++){      for(mi=1; mi<wav[i];mi++){
     for(mi=1; mi<wav[i];mi++){        if (stepm <=0)
       if (stepm <=0)          dh[mi][i]=1;
         dh[mi][i]=1;        else{
       else{          if (s[mw[mi+1][i]][i] > nlstate) {
         if (s[mw[mi+1][i]][i] > nlstate) {            if (agedc[i] < 2*AGESUP) {
           if (agedc[i] < 2*AGESUP) {            j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12); 
           j= rint(agedc[i]*12-agev[mw[mi][i]][i]*12);            if(j==0) j=1;  /* Survives at least one month after exam */
           if(j==0) j=1;  /* Survives at least one month after exam */            k=k+1;
           k=k+1;            if (j >= jmax) jmax=j;
           if (j >= jmax) jmax=j;            if (j <= jmin) jmin=j;
           if (j <= jmin) jmin=j;            sum=sum+j;
           sum=sum+j;            /*if (j<0) printf("j=%d num=%d \n",j,i); */
           /*if (j<0) printf("j=%d num=%d \n",j,i); */            }
           }          }
         }          else{
         else{            j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));
           j= rint( (agev[mw[mi+1][i]][i]*12 - agev[mw[mi][i]][i]*12));            k=k+1;
           k=k+1;            if (j >= jmax) jmax=j;
           if (j >= jmax) jmax=j;            else if (j <= jmin)jmin=j;
           else if (j <= jmin)jmin=j;            /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */
           /*        if (j<10) printf("j=%d jmin=%d num=%d ",j,jmin,i); */            sum=sum+j;
           sum=sum+j;          }
         }          jk= j/stepm;
         jk= j/stepm;          jl= j -jk*stepm;
         jl= j -jk*stepm;          ju= j -(jk+1)*stepm;
         ju= j -(jk+1)*stepm;          if(jl <= -ju)
         if(jl <= -ju)            dh[mi][i]=jk;
           dh[mi][i]=jk;          else
         else            dh[mi][i]=jk+1;
           dh[mi][i]=jk+1;          if(dh[mi][i]==0)
         if(dh[mi][i]==0)            dh[mi][i]=1; /* At least one step */
           dh[mi][i]=1; /* At least one step */        }
       }      }
     }    }
   }    jmean=sum/k;
   jmean=sum/k;    printf("Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);
   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);
   fprintf(ficlog,"Delay (in months) between two waves Min=%d Max=%d Mean=%f\n\n ",jmin, jmax,jmean);   }
  }  
   /*********** Tricode ****************************/
 /*********** Tricode ****************************/  void tricode(int *Tvar, int **nbcode, int imx)
 void tricode(int *Tvar, int **nbcode, int imx)  {
 {    int Ndum[20],ij=1, k, j, i;
   int Ndum[20],ij=1, k, j, i;    int cptcode=0;
   int cptcode=0;    cptcoveff=0; 
   cptcoveff=0;   
      for (k=0; k<19; k++) Ndum[k]=0;
   for (k=0; k<19; k++) Ndum[k]=0;    for (k=1; k<=7; k++) ncodemax[k]=0;
   for (k=1; k<=7; k++) ncodemax[k]=0;  
     for (j=1; j<=(cptcovn+2*cptcovprod); j++) {
   for (j=1; j<=(cptcovn+2*cptcovprod); j++) {      for (i=1; i<=imx; i++) {
     for (i=1; i<=imx; i++) {        ij=(int)(covar[Tvar[j]][i]);
       ij=(int)(covar[Tvar[j]][i]);        Ndum[ij]++; 
       Ndum[ij]++;        /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/
       /*printf("i=%d ij=%d Ndum[ij]=%d imx=%d",i,ij,Ndum[ij],imx);*/        if (ij > cptcode) cptcode=ij; 
       if (ij > cptcode) cptcode=ij;      }
     }  
       for (i=0; i<=cptcode; i++) {
     for (i=0; i<=cptcode; i++) {        if(Ndum[i]!=0) ncodemax[j]++;
       if(Ndum[i]!=0) ncodemax[j]++;      }
     }      ij=1; 
     ij=1;  
   
       for (i=1; i<=ncodemax[j]; i++) {
     for (i=1; i<=ncodemax[j]; i++) {        for (k=0; k<=19; k++) {
       for (k=0; k<=19; k++) {          if (Ndum[k] != 0) {
         if (Ndum[k] != 0) {            nbcode[Tvar[j]][ij]=k; 
           nbcode[Tvar[j]][ij]=k;            
                      ij++;
           ij++;          }
         }          if (ij > ncodemax[j]) break; 
         if (ij > ncodemax[j]) break;        }  
       }        } 
     }    }  
   }    
    for (k=0; k<19; k++) Ndum[k]=0;
  for (k=0; k<19; k++) Ndum[k]=0;  
    for (i=1; i<=ncovmodel-2; i++) {
  for (i=1; i<=ncovmodel-2; i++) {     ij=Tvar[i];
    ij=Tvar[i];     Ndum[ij]++; 
    Ndum[ij]++;   }
  }  
    ij=1;
  ij=1;   for (i=1; i<=10; i++) {
  for (i=1; i<=10; i++) {     if((Ndum[i]!=0) && (i<=ncovcol)){
    if((Ndum[i]!=0) && (i<=ncovcol)){       Tvaraff[ij]=i; 
      Tvaraff[ij]=i;       ij++;
      ij++;     }
    }   }
  }   
     cptcoveff=ij-1;
  cptcoveff=ij-1;  }
 }  
   /*********** Health Expectancies ****************/
 /*********** Health Expectancies ****************/  
   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 )
 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 )  
   {
 {    /* Health expectancies */
   /* Health expectancies */    int i, j, nhstepm, hstepm, h, nstepm, k, cptj;
   int i, j, nhstepm, hstepm, h, nstepm, k, cptj;    double age, agelim, hf;
   double age, agelim, hf;    double ***p3mat,***varhe;
   double ***p3mat,***varhe;    double **dnewm,**doldm;
   double **dnewm,**doldm;    double *xp;
   double *xp;    double **gp, **gm;
   double **gp, **gm;    double ***gradg, ***trgradg;
   double ***gradg, ***trgradg;    int theta;
   int theta;  
     varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);
   varhe=ma3x(1,nlstate*2,1,nlstate*2,(int) bage, (int) fage);    xp=vector(1,npar);
   xp=vector(1,npar);    dnewm=matrix(1,nlstate*2,1,npar);
   dnewm=matrix(1,nlstate*2,1,npar);    doldm=matrix(1,nlstate*2,1,nlstate*2);
   doldm=matrix(1,nlstate*2,1,nlstate*2);    
      fprintf(ficreseij,"# Health expectancies\n");
   fprintf(ficreseij,"# Health expectancies\n");    fprintf(ficreseij,"# Age");
   fprintf(ficreseij,"# Age");    for(i=1; i<=nlstate;i++)
   for(i=1; i<=nlstate;i++)      for(j=1; j<=nlstate;j++)
     for(j=1; j<=nlstate;j++)        fprintf(ficreseij," %1d-%1d (SE)",i,j);
       fprintf(ficreseij," %1d-%1d (SE)",i,j);    fprintf(ficreseij,"\n");
   fprintf(ficreseij,"\n");  
     if(estepm < stepm){
   if(estepm < stepm){      printf ("Problem %d lower than %d\n",estepm, stepm);
     printf ("Problem %d lower than %d\n",estepm, stepm);    }
   }    else  hstepm=estepm;   
   else  hstepm=estepm;      /* We compute the life expectancy from trapezoids spaced every estepm months
   /* We compute the life expectancy from trapezoids spaced every estepm months     * This is mainly to measure the difference between two models: for example
    * This is mainly to measure the difference between two models: for example     * if stepm=24 months pijx are given only every 2 years and by summing them
    * if stepm=24 months pijx are given only every 2 years and by summing them     * we are calculating an estimate of the Life Expectancy assuming a linear 
    * we are calculating an estimate of the Life Expectancy assuming a linear     * progression inbetween and thus overestimating or underestimating according
    * progression inbetween and thus overestimating or underestimating according     * to the curvature of the survival function. If, for the same date, we 
    * 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
    * estimate the model with stepm=1 month, we can keep estepm to 24 months     * to compare the new estimate of Life expectancy with the same linear 
    * to compare the new estimate of Life expectancy with the same linear     * hypothesis. A more precise result, taking into account a more precise
    * hypothesis. A more precise result, taking into account a more precise     * curvature will be obtained if estepm is as small as stepm. */
    * curvature will be obtained if estepm is as small as stepm. */  
     /* For example we decided to compute the life expectancy with the smallest unit */
   /* For example we decided to compute the life expectancy with the smallest unit */    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.       nhstepm is the number of hstepm from age to agelim 
      nhstepm is the number of hstepm from age to agelim       nstepm is the number of stepm from age to agelin. 
      nstepm is the number of stepm from age to agelin.       Look at hpijx to understand the reason of that which relies in memory size
      Look at hpijx to understand the reason of that which relies in memory size       and note for a fixed period like estepm months */
      and note for a fixed period like estepm months */    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the       survival function given by stepm (the optimization length). Unfortunately it
      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
      means that if the survival funtion is printed only each two years of age and if       you sum them up and add 1 year (area under the trapezoids) you won't get the same 
      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.
      results. So we changed our mind and took the option of the best precision.    */
   */    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */  
     agelim=AGESUP;
   agelim=AGESUP;    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */      /* nhstepm age range expressed in number of stepm */
     /* nhstepm age range expressed in number of stepm */      nstepm=(int) rint((agelim-age)*YEARM/stepm); 
     nstepm=(int) rint((agelim-age)*YEARM/stepm);      /* Typically if 20 years nstepm = 20*12/6=40 stepm */ 
     /* Typically if 20 years nstepm = 20*12/6=40 stepm */      /* if (stepm >= YEARM) hstepm=1;*/
     /* if (stepm >= YEARM) hstepm=1;*/      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate*2);      gp=matrix(0,nhstepm,1,nlstate*2);
     gp=matrix(0,nhstepm,1,nlstate*2);      gm=matrix(0,nhstepm,1,nlstate*2);
     gm=matrix(0,nhstepm,1,nlstate*2);  
       /* Computed by stepm unit matrices, product of hstepm matrices, stored
     /* Computed by stepm unit matrices, product of hstepm matrices, stored         in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */
        in an array of nhstepm length: nhstepm=10, hstepm=4, stepm=6 months */      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);  
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm, savm, ij);     
    
       hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */  
       /* Computing Variances of health expectancies */
     /* Computing Variances of health expectancies */  
        for(theta=1; theta <=npar; theta++){
      for(theta=1; theta <=npar; theta++){        for(i=1; i<=npar; i++){ 
       for(i=1; i<=npar; i++){          xp[i] = x[i] + (i==theta ?delti[theta]:0);
         xp[i] = x[i] + (i==theta ?delti[theta]:0);        }
       }        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);      
          cptj=0;
       cptj=0;        for(j=1; j<= nlstate; j++){
       for(j=1; j<= nlstate; j++){          for(i=1; i<=nlstate; i++){
         for(i=1; i<=nlstate; i++){            cptj=cptj+1;
           cptj=cptj+1;            for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){
           for(h=0, gp[h][cptj]=0.; h<=nhstepm-1; h++){              gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
             gp[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;            }
           }          }
         }        }
       }       
             
              for(i=1; i<=npar; i++) 
       for(i=1; i<=npar; i++)          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         xp[i] = x[i] - (i==theta ?delti[theta]:0);        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);          
              cptj=0;
       cptj=0;        for(j=1; j<= nlstate; j++){
       for(j=1; j<= nlstate; j++){          for(i=1;i<=nlstate;i++){
         for(i=1;i<=nlstate;i++){            cptj=cptj+1;
           cptj=cptj+1;            for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){
           for(h=0, gm[h][cptj]=0.; h<=nhstepm-1; h++){              gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;
             gm[h][cptj] = (p3mat[i][j][h]+p3mat[i][j][h+1])/2.;            }
           }          }
         }        }
       }        for(j=1; j<= nlstate*2; j++)
       for(j=1; j<= nlstate*2; j++)          for(h=0; h<=nhstepm-1; h++){
         for(h=0; h<=nhstepm-1; h++){            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          }
         }       } 
      }     
      /* End theta */
 /* End theta */  
        trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);
      trgradg =ma3x(0,nhstepm,1,nlstate*2,1,npar);  
        for(h=0; h<=nhstepm-1; h++)
      for(h=0; h<=nhstepm-1; h++)        for(j=1; j<=nlstate*2;j++)
       for(j=1; j<=nlstate*2;j++)          for(theta=1; theta <=npar; theta++)
         for(theta=1; theta <=npar; theta++)            trgradg[h][j][theta]=gradg[h][theta][j];
           trgradg[h][j][theta]=gradg[h][theta][j];       
        
        for(i=1;i<=nlstate*2;i++)
      for(i=1;i<=nlstate*2;i++)        for(j=1;j<=nlstate*2;j++)
       for(j=1;j<=nlstate*2;j++)          varhe[i][j][(int)age] =0.;
         varhe[i][j][(int)age] =0.;  
        printf("%d|",(int)age);fflush(stdout);
      printf("%d|",(int)age);fflush(stdout);       fprintf(ficlog,"%d|",(int)age);fflush(ficlog);
      fprintf(ficlog,"%d|",(int)age);fflush(ficlog);       for(h=0;h<=nhstepm-1;h++){
      for(h=0;h<=nhstepm-1;h++){        for(k=0;k<=nhstepm-1;k++){
       for(k=0;k<=nhstepm-1;k++){          matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);
         matprod2(dnewm,trgradg[h],1,nlstate*2,1,npar,1,npar,matcov);          matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);
         matprod2(doldm,dnewm,1,nlstate*2,1,npar,1,nlstate*2,gradg[k]);          for(i=1;i<=nlstate*2;i++)
         for(i=1;i<=nlstate*2;i++)            for(j=1;j<=nlstate*2;j++)
           for(j=1;j<=nlstate*2;j++)              varhe[i][j][(int)age] += doldm[i][j]*hf*hf;
             varhe[i][j][(int)age] += doldm[i][j]*hf*hf;        }
       }      }
     }      /* Computing expectancies */
     /* Computing expectancies */      for(i=1; i<=nlstate;i++)
     for(i=1; i<=nlstate;i++)        for(j=1; j<=nlstate;j++)
       for(j=1; j<=nlstate;j++)          for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){
         for (h=0, eij[i][j][(int)age]=0; h<=nhstepm-1; h++){            eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;
           eij[i][j][(int)age] += (p3mat[i][j][h]+p3mat[i][j][h+1])/2.0*hf;            
            /* if((int)age==70)printf("i=%2d,j=%2d,h=%2d,age=%3d,%9.4f,%9.4f,%9.4f\n",i,j,h,(int)age,p3mat[i][j][h],hf,eij[i][j][(int)age]);*/
 /* 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]);*/  
           }
         }  
       fprintf(ficreseij,"%3.0f",age );
     fprintf(ficreseij,"%3.0f",age );      cptj=0;
     cptj=0;      for(i=1; i<=nlstate;i++)
     for(i=1; i<=nlstate;i++)        for(j=1; j<=nlstate;j++){
       for(j=1; j<=nlstate;j++){          cptj++;
         cptj++;          fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );
         fprintf(ficreseij," %9.4f (%.4f)", eij[i][j][(int)age], sqrt(varhe[cptj][cptj][(int)age]) );        }
       }      fprintf(ficreseij,"\n");
     fprintf(ficreseij,"\n");     
          free_matrix(gm,0,nhstepm,1,nlstate*2);
     free_matrix(gm,0,nhstepm,1,nlstate*2);      free_matrix(gp,0,nhstepm,1,nlstate*2);
     free_matrix(gp,0,nhstepm,1,nlstate*2);      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate*2);      free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);
     free_ma3x(trgradg,0,nhstepm,1,nlstate*2,1,npar);      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    }
   }    printf("\n");
   printf("\n");    fprintf(ficlog,"\n");
   fprintf(ficlog,"\n");  
     free_vector(xp,1,npar);
   free_vector(xp,1,npar);    free_matrix(dnewm,1,nlstate*2,1,npar);
   free_matrix(dnewm,1,nlstate*2,1,npar);    free_matrix(doldm,1,nlstate*2,1,nlstate*2);
   free_matrix(doldm,1,nlstate*2,1,nlstate*2);    free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);
   free_ma3x(varhe,1,nlstate*2,1,nlstate*2,(int) bage, (int)fage);  }
 }  
   /************ Variance ******************/
 /************ 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)
 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)  {
 {    /* Variance of health expectancies */
   /* Variance of health expectancies */    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/    /* double **newm;*/
   /* double **newm;*/    double **dnewm,**doldm;
   double **dnewm,**doldm;    double **dnewmp,**doldmp;
   double **dnewmp,**doldmp;    int i, j, nhstepm, hstepm, h, nstepm ;
   int i, j, nhstepm, hstepm, h, nstepm ;    int k, cptcode;
   int k, cptcode;    double *xp;
   double *xp;    double **gp, **gm;  /* for var eij */
   double **gp, **gm;  /* for var eij */    double ***gradg, ***trgradg; /*for var eij */
   double ***gradg, ***trgradg; /*for var eij */    double **gradgp, **trgradgp; /* for var p point j */
   double **gradgp, **trgradgp; /* for var p point j */    double *gpp, *gmp; /* for var p point j */
   double *gpp, *gmp; /* for var p point j */    double **varppt; /* for var p point j nlstate to nlstate+ndeath */
   double **varppt; /* for var p point j nlstate to nlstate+ndeath */    double ***p3mat;
   double ***p3mat;    double age,agelim, hf;
   double age,agelim, hf;    double ***mobaverage;
   int theta;    int theta;
   char digit[4];    char digit[4];
   char digitp[16];    char digitp[25];
   
   char fileresprobmorprev[FILENAMELENGTH];    char fileresprobmorprev[FILENAMELENGTH];
   
   if(popbased==1)    if(popbased==1){
     strcpy(digitp,"-populbased-");      if(mobilav==1)
   else        strcpy(digitp,"-populbased-mobilav-");
     strcpy(digitp,"-stablbased-");      else strcpy(digitp,"-populbased-nomobil-");
     }
   strcpy(fileresprobmorprev,"prmorprev");    else 
   sprintf(digit,"%-d",ij);      strcpy(digitp,"-stablbased-");
   /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/  <<<<<<< imach.c
   strcat(fileresprobmorprev,digit); /* Tvar to be done */    if (mobilav!=0) {
   strcat(fileresprobmorprev,digitp); /* Popbased or not */  =======
   strcat(fileresprobmorprev,fileres);    if(mobilav!=0)
   if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {      strcat(digitp,"mobilav-");
     printf("Problem with resultfile: %s\n", fileresprobmorprev);    else
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);      strcat(digitp,"nomobil-");
   }    if (mobilav!=0) {
   printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);  >>>>>>> 1.54
   fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   fprintf(ficresprobmorprev,"# probabilities of dying during a year and weighted mean w1*p1j+w2*p2j+... stand dev in()\n");      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
   fprintf(ficresprobmorprev,"# Age cov=%-d",ij);        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
   for(j=nlstate+1; j<=(nlstate+ndeath);j++){        printf(" Error in movingaverage mobilav=%d\n",mobilav);
     fprintf(ficresprobmorprev," p.%-d SE",j);      }
     for(i=1; i<=nlstate;i++)    }
       fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);  
   }      strcpy(fileresprobmorprev,"prmorprev"); 
   fprintf(ficresprobmorprev,"\n");    sprintf(digit,"%-d",ij);
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {    /*printf("DIGIT=%s, ij=%d ijr=%-d|\n",digit, ij,ij);*/
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);    strcat(fileresprobmorprev,digit); /* Tvar to be done */
     fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);    strcat(fileresprobmorprev,digitp); /* Popbased or not, mobilav or not */
     exit(0);    strcat(fileresprobmorprev,fileres);
   }    if((ficresprobmorprev=fopen(fileresprobmorprev,"w"))==NULL) {
   else{      printf("Problem with resultfile: %s\n", fileresprobmorprev);
     fprintf(ficgp,"\n# Routine varevsij");      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobmorprev);
   }    }
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {    printf("Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     printf("Problem with html file: %s\n", optionfilehtm);    fprintf(ficlog,"Computing total mortality p.j=w1*p1j+w2*p2j+..: result on file '%s' \n",fileresprobmorprev);
     fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);    fprintf(ficresprobmorprev,"# probabilities of dying during a year and weighted mean w1*p1j+w2*p2j+... stand dev in()\n");
     exit(0);    fprintf(ficresprobmorprev,"# Age cov=%-d",ij);
   }    for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   else{      fprintf(ficresprobmorprev," p.%-d SE",j);
     fprintf(fichtm,"\n<li><h4> Computing step probabilities of dying and weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");      for(i=1; i<=nlstate;i++)
   }        fprintf(ficresprobmorprev," w%1d p%-d%-d",i,i,j);
   varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);    }  
     fprintf(ficresprobmorprev,"\n");
   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");    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
   fprintf(ficresvij,"# Age");      printf("Problem with gnuplot file: %s\n", optionfilegnuplot);
   for(i=1; i<=nlstate;i++)      fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);
     for(j=1; j<=nlstate;j++)      exit(0);
       fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);    }
   fprintf(ficresvij,"\n");    else{
       fprintf(ficgp,"\n# Routine varevsij");
   xp=vector(1,npar);    }
   dnewm=matrix(1,nlstate,1,npar);    if((fichtm=fopen(optionfilehtm,"a"))==NULL) {
   doldm=matrix(1,nlstate,1,nlstate);      printf("Problem with html file: %s\n", optionfilehtm);
   dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);      fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);
   doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);      exit(0);
     }
   gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);    else{
   gpp=vector(nlstate+1,nlstate+ndeath);      fprintf(fichtm,"\n<li><h4> Computing probabilities of dying as a weighted average (i.e global mortality independent of initial healh state)</h4></li>\n");
   gmp=vector(nlstate+1,nlstate+ndeath);      fprintf(fichtm,"\n<br>%s (à revoir) <br>\n",digitp);
   trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/    }
      varppt = matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   if(estepm < stepm){  
     printf ("Problem %d lower than %d\n",estepm, stepm);    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");
   else  hstepm=estepm;      for(i=1; i<=nlstate;i++)
   /* For example we decided to compute the life expectancy with the smallest unit */      for(j=1; j<=nlstate;j++)
   /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm.        fprintf(ficresvij," Cov(e%1d, e%1d)",i,j);
      nhstepm is the number of hstepm from age to agelim    fprintf(ficresvij,"\n");
      nstepm is the number of stepm from age to agelin.  
      Look at hpijx to understand the reason of that which relies in memory size    xp=vector(1,npar);
      and note for a fixed period like k years */    dnewm=matrix(1,nlstate,1,npar);
   /* We decided (b) to get a life expectancy respecting the most precise curvature of the    doldm=matrix(1,nlstate,1,nlstate);
      survival function given by stepm (the optimization length). Unfortunately it    dnewmp= matrix(nlstate+1,nlstate+ndeath,1,npar);
      means that if the survival funtion is printed only each two years of age and if    doldmp= matrix(nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
      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.    gradgp=matrix(1,npar,nlstate+1,nlstate+ndeath);
   */    gpp=vector(nlstate+1,nlstate+ndeath);
   hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */    gmp=vector(nlstate+1,nlstate+ndeath);
   agelim = AGESUP;    trgradgp =matrix(nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    
     nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    if(estepm < stepm){
     nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */      printf ("Problem %d lower than %d\n",estepm, stepm);
     p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    }
     gradg=ma3x(0,nhstepm,1,npar,1,nlstate);    else  hstepm=estepm;   
     gp=matrix(0,nhstepm,1,nlstate);    /* For example we decided to compute the life expectancy with the smallest unit */
     gm=matrix(0,nhstepm,1,nlstate);    /* hstepm beeing the number of stepms, if hstepm=1 the length of hstepm is stepm. 
        nhstepm is the number of hstepm from age to agelim 
        nstepm is the number of stepm from age to agelin. 
     for(theta=1; theta <=npar; theta++){       Look at hpijx to understand the reason of that which relies in memory size
       for(i=1; i<=npar; i++){ /* Computes gradient */       and note for a fixed period like k years */
         xp[i] = x[i] + (i==theta ?delti[theta]:0);    /* We decided (b) to get a life expectancy respecting the most precise curvature of the
       }       survival function given by stepm (the optimization length). Unfortunately it
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);         means that if the survival funtion is printed only each two years of age and if
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);       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 (popbased==1) {    */
         for(i=1; i<=nlstate;i++)    hstepm=hstepm/stepm; /* Typically in stepm units, if stepm=6 & estepm=24 , = 24/6 months = 4 */ 
           prlim[i][i]=probs[(int)age][i][ij];    agelim = AGESUP;
       }    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
        nstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       for(j=1; j<= nlstate; j++){      nhstepm = nstepm/hstepm;/* Expressed in hstepm, typically nhstepm=40/4=10 */
         for(h=0; h<=nhstepm; h++){      p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
           for(i=1, gp[h][j]=0.;i<=nlstate;i++)      gradg=ma3x(0,nhstepm,1,npar,1,nlstate);
             gp[h][j] += prlim[i][i]*p3mat[i][j][h];      gp=matrix(0,nhstepm,1,nlstate);
         }      gm=matrix(0,nhstepm,1,nlstate);
       }  
       /* This for computing forces of mortality (h=1)as a weighted average */  
       for(j=nlstate+1,gpp[j]=0.;j<=nlstate+ndeath;j++){      for(theta=1; theta <=npar; theta++){
         for(i=1; i<= nlstate; i++)        for(i=1; i<=npar; i++){ /* Computes gradient */
           gpp[j] += prlim[i][i]*p3mat[i][j][1];          xp[i] = x[i] + (i==theta ?delti[theta]:0);
       }            }
       /* end force of mortality */        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
       for(i=1; i<=npar; i++) /* Computes gradient */  
         xp[i] = x[i] - (i==theta ?delti[theta]:0);        if (popbased==1) {
       hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);            if(mobilav ==0){
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);            for(i=1; i<=nlstate;i++)
                prlim[i][i]=probs[(int)age][i][ij];
       if (popbased==1) {          }else{ /* mobilav */ 
         for(i=1; i<=nlstate;i++)            for(i=1; i<=nlstate;i++)
           prlim[i][i]=probs[(int)age][i][ij];              prlim[i][i]=mobaverage[(int)age][i][ij];
       }          }
         }
       for(j=1; j<= nlstate; j++){    
         for(h=0; h<=nhstepm; h++){        for(j=1; j<= nlstate; j++){
           for(i=1, gm[h][j]=0.;i<=nlstate;i++)          for(h=0; h<=nhstepm; h++){
             gm[h][j] += prlim[i][i]*p3mat[i][j][h];            for(i=1, gp[h][j]=0.;i<=nlstate;i++)
         }              gp[h][j] += prlim[i][i]*p3mat[i][j][h];
       }          }
       /* This for computing force of mortality (h=1)as a weighted average */        }
       for(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){        /* This for computing forces of mortality (h=1)as a weighted average */
         for(i=1; i<= nlstate; i++)        for(j=nlstate+1,gpp[j]=0.;j<=nlstate+ndeath;j++){
           gmp[j] += prlim[i][i]*p3mat[i][j][1];          for(i=1; i<= nlstate; i++)
       }                gpp[j] += prlim[i][i]*p3mat[i][j][1];
       /* end force of mortality */        }    
         /* end force of mortality */
       for(j=1; j<= nlstate; j++) /* vareij */  
         for(h=0; h<=nhstepm; h++){        for(i=1; i<=npar; i++) /* Computes gradient */
           gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         }        hpxij(p3mat,nhstepm,age,hstepm,xp,nlstate,stepm,oldm,savm, ij);  
       for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */        prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
         gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];   
       }        if (popbased==1) {
           if(mobilav ==0){
     } /* End theta */            for(i=1; i<=nlstate;i++)
               prlim[i][i]=probs[(int)age][i][ij];
     trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */          }else{ /* mobilav */ 
             for(i=1; i<=nlstate;i++)
     for(h=0; h<=nhstepm; h++) /* veij */              prlim[i][i]=mobaverage[(int)age][i][ij];
       for(j=1; j<=nlstate;j++)          }
         for(theta=1; theta <=npar; theta++)        }
           trgradg[h][j][theta]=gradg[h][theta][j];  
         for(j=1; j<= nlstate; j++){
     for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */          for(h=0; h<=nhstepm; h++){
       for(theta=1; theta <=npar; theta++)            for(i=1, gm[h][j]=0.;i<=nlstate;i++)
         trgradgp[j][theta]=gradgp[theta][j];              gm[h][j] += prlim[i][i]*p3mat[i][j][h];
           }
     hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */        }
     for(i=1;i<=nlstate;i++)        /* This for computing force of mortality (h=1)as a weighted average */
       for(j=1;j<=nlstate;j++)        for(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){
         vareij[i][j][(int)age] =0.;          for(i=1; i<= nlstate; i++)
             gmp[j] += prlim[i][i]*p3mat[i][j][1];
     for(h=0;h<=nhstepm;h++){        }    
       for(k=0;k<=nhstepm;k++){        /* end force of mortality */
         matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);  
         matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);        for(j=1; j<= nlstate; j++) /* vareij */
         for(i=1;i<=nlstate;i++)          for(h=0; h<=nhstepm; h++){
           for(j=1;j<=nlstate;j++)            gradg[h][theta][j]= (gp[h][j]-gm[h][j])/2./delti[theta];
             vareij[i][j][(int)age] += doldm[i][j]*hf*hf;          }
       }        for(j=nlstate+1; j<= nlstate+ndeath; j++){ /* var mu */
     }          gradgp[theta][j]= (gpp[j]-gmp[j])/2./delti[theta];
         }
     /* pptj */  
     matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);      } /* End theta */
     matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);  
     for(j=nlstate+1;j<=nlstate+ndeath;j++)      trgradg =ma3x(0,nhstepm,1,nlstate,1,npar); /* veij */
       for(i=nlstate+1;i<=nlstate+ndeath;i++)  
         varppt[j][i]=doldmp[j][i];      for(h=0; h<=nhstepm; h++) /* veij */
     /* end ppptj */        for(j=1; j<=nlstate;j++)
     hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);            for(theta=1; theta <=npar; theta++)
     prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);            trgradg[h][j][theta]=gradg[h][theta][j];
    
     if (popbased==1) {      for(j=nlstate+1; j<=nlstate+ndeath;j++) /* mu */
       for(i=1; i<=nlstate;i++)        for(theta=1; theta <=npar; theta++)
         prlim[i][i]=probs[(int)age][i][ij];          trgradgp[j][theta]=gradgp[theta][j];
     }  
          hf=hstepm*stepm/YEARM;  /* Duration of hstepm expressed in year unit. */
     /* This for computing force of mortality (h=1)as a weighted average */      for(i=1;i<=nlstate;i++)
     for(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){        for(j=1;j<=nlstate;j++)
       for(i=1; i<= nlstate; i++)          vareij[i][j][(int)age] =0.;
         gmp[j] += prlim[i][i]*p3mat[i][j][1];  
     }          for(h=0;h<=nhstepm;h++){
     /* end force of mortality */        for(k=0;k<=nhstepm;k++){
           matprod2(dnewm,trgradg[h],1,nlstate,1,npar,1,npar,matcov);
     fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);          matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg[k]);
     for(j=nlstate+1; j<=(nlstate+ndeath);j++){          for(i=1;i<=nlstate;i++)
       fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));            for(j=1;j<=nlstate;j++)
       for(i=1; i<=nlstate;i++){              vareij[i][j][(int)age] += doldm[i][j]*hf*hf;
         fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);        }
       }      }
     }  
     fprintf(ficresprobmorprev,"\n");      /* pptj */
       matprod2(dnewmp,trgradgp,nlstate+1,nlstate+ndeath,1,npar,1,npar,matcov);
     fprintf(ficresvij,"%.0f ",age );      matprod2(doldmp,dnewmp,nlstate+1,nlstate+ndeath,1,npar,nlstate+1,nlstate+ndeath,gradgp);
     for(i=1; i<=nlstate;i++)      for(j=nlstate+1;j<=nlstate+ndeath;j++)
       for(j=1; j<=nlstate;j++){        for(i=nlstate+1;i<=nlstate+ndeath;i++)
         fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);          varppt[j][i]=doldmp[j][i];
       }      /* end ppptj */
     fprintf(ficresvij,"\n");      hpxij(p3mat,nhstepm,age,hstepm,x,nlstate,stepm,oldm,savm, ij);  
     free_matrix(gp,0,nhstepm,1,nlstate);      prevalim(prlim,nlstate,x,age,oldm,savm,ftolpl,ij);
     free_matrix(gm,0,nhstepm,1,nlstate);   
     free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);      if (popbased==1) {
     free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);        if(mobilav ==0){
     free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          for(i=1; i<=nlstate;i++)
   } /* End age */            prlim[i][i]=probs[(int)age][i][ij];
   free_vector(gpp,nlstate+1,nlstate+ndeath);        }else{ /* mobilav */ 
   free_vector(gmp,nlstate+1,nlstate+ndeath);          for(i=1; i<=nlstate;i++)
   free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);            prlim[i][i]=mobaverage[(int)age][i][ij];
   free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/        }
   fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");      }
   /* 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)\";");      /* This for computing force of mortality (h=1)as a weighted average */
   fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm);      for(j=nlstate+1,gmp[j]=0.;j<=nlstate+ndeath;j++){
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm);        for(i=1; i<= nlstate; i++)
   fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm);          gmp[j] += prlim[i][i]*p3mat[i][j][1]; 
   fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",fileresprobmorprev,fileresprobmorprev);      }    
   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);      /* end force of mortality */
   fprintf(ficgp,"\nset out \"varmuptjgr%s%s.png\";replot;",digitp,digit);  
       fprintf(ficresprobmorprev,"%3d %d ",(int) age, ij);
   free_vector(xp,1,npar);      for(j=nlstate+1; j<=(nlstate+ndeath);j++){
   free_matrix(doldm,1,nlstate,1,nlstate);        fprintf(ficresprobmorprev," %11.3e %11.3e",gmp[j], sqrt(varppt[j][j]));
   free_matrix(dnewm,1,nlstate,1,npar);        for(i=1; i<=nlstate;i++){
   free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);          fprintf(ficresprobmorprev," %11.3e %11.3e ",prlim[i][i],p3mat[i][j][1]);
   free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);        }
   free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);      } 
   fclose(ficresprobmorprev);      fprintf(ficresprobmorprev,"\n");
   fclose(ficgp);  
   fclose(fichtm);      fprintf(ficresvij,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
 }        for(j=1; j<=nlstate;j++){
           fprintf(ficresvij," %.4f", vareij[i][j][(int)age]);
 /************ 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)      fprintf(ficresvij,"\n");
 {      free_matrix(gp,0,nhstepm,1,nlstate);
   /* Variance of prevalence limit */      free_matrix(gm,0,nhstepm,1,nlstate);
   /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/      free_ma3x(gradg,0,nhstepm,1,npar,1,nlstate);
   double **newm;      free_ma3x(trgradg,0,nhstepm,1,nlstate,1,npar);
   double **dnewm,**doldm;      free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   int i, j, nhstepm, hstepm;    } /* End age */
   int k, cptcode;    free_vector(gpp,nlstate+1,nlstate+ndeath);
   double *xp;    free_vector(gmp,nlstate+1,nlstate+ndeath);
   double *gp, *gm;    free_matrix(gradgp,1,npar,nlstate+1,nlstate+ndeath);
   double **gradg, **trgradg;    free_matrix(trgradgp,nlstate+1,nlstate+ndeath,1,npar); /* mu or p point j*/
   double age,agelim;    fprintf(ficgp,"\nset noparametric;set nolabel; set ter png small;set size 0.65, 0.65");
   int theta;    /* 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)\";");
   fprintf(ficresvpl,"# Standard deviation of prevalence's limit\n");    fprintf(ficgp,"\n plot \"%s\"  u 1:($3*%6.3f) not w l 1 ",fileresprobmorprev,YEARM/estepm);
   fprintf(ficresvpl,"# Age");    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3+1.96*$4)*%6.3f) t \"95\%% interval\" w l 2 ",fileresprobmorprev,YEARM/estepm);
   for(i=1; i<=nlstate;i++)    fprintf(ficgp,"\n replot \"%s\"  u 1:(($3-1.96*$4)*%6.3f) not w l 2 ",fileresprobmorprev,YEARM/estepm);
       fprintf(ficresvpl," %1d-%1d",i,i);    fprintf(fichtm,"\n<br> File (multiple files are possible if covariates are present): <A href=\"%s\">%s</a>\n",fileresprobmorprev,fileresprobmorprev);
   fprintf(ficresvpl,"\n");    fprintf(fichtm,"\n<br> Probability is computed over estepm=%d months. <br> <img src=\"varmuptjgr%s%s.png\"> <br>\n", stepm,digitp,digit);
     /*  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);
   xp=vector(1,npar);  */
   dnewm=matrix(1,nlstate,1,npar);    fprintf(ficgp,"\nset out \"varmuptjgr%s%s.png\";replot;",digitp,digit);
   doldm=matrix(1,nlstate,1,nlstate);  
      free_vector(xp,1,npar);
   hstepm=1*YEARM; /* Every year of age */    free_matrix(doldm,1,nlstate,1,nlstate);
   hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */    free_matrix(dnewm,1,nlstate,1,npar);
   agelim = AGESUP;    free_matrix(doldmp,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
   for (age=bage; age<=fage; age ++){ /* If stepm=6 months */    free_matrix(dnewmp,nlstate+1,nlstate+ndeath,1,npar);
     nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */    free_matrix(varppt,nlstate+1,nlstate+ndeath,nlstate+1,nlstate+ndeath);
     if (stepm >= YEARM) hstepm=1;    if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */    fclose(ficresprobmorprev);
     gradg=matrix(1,npar,1,nlstate);    fclose(ficgp);
     gp=vector(1,nlstate);    fclose(fichtm);
     gm=vector(1,nlstate);  }
   
     for(theta=1; theta <=npar; theta++){  /************ Variance of prevlim ******************/
       for(i=1; i<=npar; i++){ /* Computes gradient */  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)
         xp[i] = x[i] + (i==theta ?delti[theta]:0);  {
       }    /* Variance of prevalence limit */
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    /*  double **prevalim(double **prlim, int nlstate, double *xp, double age, double **oldm, double ** savm,double ftolpl);*/
       for(i=1;i<=nlstate;i++)    double **newm;
         gp[i] = prlim[i][i];    double **dnewm,**doldm;
        int i, j, nhstepm, hstepm;
       for(i=1; i<=npar; i++) /* Computes gradient */    int k, cptcode;
         xp[i] = x[i] - (i==theta ?delti[theta]:0);    double *xp;
       prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);    double *gp, *gm;
       for(i=1;i<=nlstate;i++)    double **gradg, **trgradg;
         gm[i] = prlim[i][i];    double age,agelim;
     int theta;
       for(i=1;i<=nlstate;i++)     
         gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];    fprintf(ficresvpl,"# Standard deviation of stable prevalences \n");
     } /* End theta */    fprintf(ficresvpl,"# Age");
     for(i=1; i<=nlstate;i++)
     trgradg =matrix(1,nlstate,1,npar);        fprintf(ficresvpl," %1d-%1d",i,i);
     fprintf(ficresvpl,"\n");
     for(j=1; j<=nlstate;j++)  
       for(theta=1; theta <=npar; theta++)    xp=vector(1,npar);
         trgradg[j][theta]=gradg[theta][j];    dnewm=matrix(1,nlstate,1,npar);
     doldm=matrix(1,nlstate,1,nlstate);
     for(i=1;i<=nlstate;i++)    
       varpl[i][(int)age] =0.;    hstepm=1*YEARM; /* Every year of age */
     matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);    hstepm=hstepm/stepm; /* Typically in stepm units, if j= 2 years, = 2/6 months = 4 */ 
     matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);    agelim = AGESUP;
     for(i=1;i<=nlstate;i++)    for (age=bage; age<=fage; age ++){ /* If stepm=6 months */
       varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */      nhstepm=(int) rint((agelim-age)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
       if (stepm >= YEARM) hstepm=1;
     fprintf(ficresvpl,"%.0f ",age );      nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
     for(i=1; i<=nlstate;i++)      gradg=matrix(1,npar,1,nlstate);
       fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));      gp=vector(1,nlstate);
     fprintf(ficresvpl,"\n");      gm=vector(1,nlstate);
     free_vector(gp,1,nlstate);  
     free_vector(gm,1,nlstate);      for(theta=1; theta <=npar; theta++){
     free_matrix(gradg,1,npar,1,nlstate);        for(i=1; i<=npar; i++){ /* Computes gradient */
     free_matrix(trgradg,1,nlstate,1,npar);          xp[i] = x[i] + (i==theta ?delti[theta]:0);
   } /* End age */        }
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
   free_vector(xp,1,npar);        for(i=1;i<=nlstate;i++)
   free_matrix(doldm,1,nlstate,1,npar);          gp[i] = prlim[i][i];
   free_matrix(dnewm,1,nlstate,1,nlstate);      
         for(i=1; i<=npar; i++) /* Computes gradient */
 }          xp[i] = x[i] - (i==theta ?delti[theta]:0);
         prevalim(prlim,nlstate,xp,age,oldm,savm,ftolpl,ij);
 /************ Variance of one-step probabilities  ******************/        for(i=1;i<=nlstate;i++)
 void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)          gm[i] = prlim[i][i];
 {  
   int i, j=0,  i1, k1, l1, t, tj;        for(i=1;i<=nlstate;i++)
   int k2, l2, j1,  z1;          gradg[theta][i]= (gp[i]-gm[i])/2./delti[theta];
   int k=0,l, cptcode;      } /* End theta */
   int first=1, first1;  
   double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;      trgradg =matrix(1,nlstate,1,npar);
   double **dnewm,**doldm;  
   double *xp;      for(j=1; j<=nlstate;j++)
   double *gp, *gm;        for(theta=1; theta <=npar; theta++)
   double **gradg, **trgradg;          trgradg[j][theta]=gradg[theta][j];
   double **mu;  
   double age,agelim, cov[NCOVMAX];      for(i=1;i<=nlstate;i++)
   double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */        varpl[i][(int)age] =0.;
   int theta;      matprod2(dnewm,trgradg,1,nlstate,1,npar,1,npar,matcov);
   char fileresprob[FILENAMELENGTH];      matprod2(doldm,dnewm,1,nlstate,1,npar,1,nlstate,gradg);
   char fileresprobcov[FILENAMELENGTH];      for(i=1;i<=nlstate;i++)
   char fileresprobcor[FILENAMELENGTH];        varpl[i][(int)age] = doldm[i][i]; /* Covariances are useless */
   
   double ***varpij;      fprintf(ficresvpl,"%.0f ",age );
       for(i=1; i<=nlstate;i++)
   strcpy(fileresprob,"prob");        fprintf(ficresvpl," %.5f (%.5f)",prlim[i][i],sqrt(varpl[i][(int)age]));
   strcat(fileresprob,fileres);      fprintf(ficresvpl,"\n");
   if((ficresprob=fopen(fileresprob,"w"))==NULL) {      free_vector(gp,1,nlstate);
     printf("Problem with resultfile: %s\n", fileresprob);      free_vector(gm,1,nlstate);
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);      free_matrix(gradg,1,npar,1,nlstate);
   }      free_matrix(trgradg,1,nlstate,1,npar);
   strcpy(fileresprobcov,"probcov");    } /* End age */
   strcat(fileresprobcov,fileres);  
   if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {    free_vector(xp,1,npar);
     printf("Problem with resultfile: %s\n", fileresprobcov);    free_matrix(doldm,1,nlstate,1,npar);
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);    free_matrix(dnewm,1,nlstate,1,nlstate);
   }  
   strcpy(fileresprobcor,"probcor");  }
   strcat(fileresprobcor,fileres);  
   if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {  /************ Variance of one-step probabilities  ******************/
     printf("Problem with resultfile: %s\n", fileresprobcor);  void varprob(char optionfilefiname[], double **matcov, double x[], double delti[], int nlstate, double bage, double fage, int ij, int *Tvar, int **nbcode, int *ncodemax)
     fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);  {
   }    int i, j=0,  i1, k1, l1, t, tj;
   printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);    int k2, l2, j1,  z1;
   fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);    int k=0,l, cptcode;
   printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);    int first=1, first1;
   fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);    double cv12, mu1, mu2, lc1, lc2, v12, v21, v11, v22,v1,v2, c12, tnalp;
   printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);    double **dnewm,**doldm;
   fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);    double *xp;
      double *gp, *gm;
   fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");    double **gradg, **trgradg;
   fprintf(ficresprob,"# Age");    double **mu;
   fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");    double age,agelim, cov[NCOVMAX];
   fprintf(ficresprobcov,"# Age");    double std=2.0; /* Number of standard deviation wide of confidence ellipsoids */
   fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");    int theta;
   fprintf(ficresprobcov,"# Age");    char fileresprob[FILENAMELENGTH];
     char fileresprobcov[FILENAMELENGTH];
     char fileresprobcor[FILENAMELENGTH];
   for(i=1; i<=nlstate;i++)  
     for(j=1; j<=(nlstate+ndeath);j++){    double ***varpij;
       fprintf(ficresprob," p%1d-%1d (SE)",i,j);  
       fprintf(ficresprobcov," p%1d-%1d ",i,j);    strcpy(fileresprob,"prob"); 
       fprintf(ficresprobcor," p%1d-%1d ",i,j);    strcat(fileresprob,fileres);
     }      if((ficresprob=fopen(fileresprob,"w"))==NULL) {
   fprintf(ficresprob,"\n");      printf("Problem with resultfile: %s\n", fileresprob);
   fprintf(ficresprobcov,"\n");      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprob);
   fprintf(ficresprobcor,"\n");    }
   xp=vector(1,npar);    strcpy(fileresprobcov,"probcov"); 
   dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);    strcat(fileresprobcov,fileres);
   doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));    if((ficresprobcov=fopen(fileresprobcov,"w"))==NULL) {
   mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);      printf("Problem with resultfile: %s\n", fileresprobcov);
   varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcov);
   first=1;    }
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {    strcpy(fileresprobcor,"probcor"); 
     printf("Problem with gnuplot file: %s\n", optionfilegnuplot);    strcat(fileresprobcor,fileres);
     fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);    if((ficresprobcor=fopen(fileresprobcor,"w"))==NULL) {
     exit(0);      printf("Problem with resultfile: %s\n", fileresprobcor);
   }      fprintf(ficlog,"Problem with resultfile: %s\n", fileresprobcor);
   else{    }
     fprintf(ficgp,"\n# Routine varprob");    printf("Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
   }    fprintf(ficlog,"Computing standard deviation of one-step probabilities: result on file '%s' \n",fileresprob);
   if((fichtm=fopen(optionfilehtm,"a"))==NULL) {    printf("Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     printf("Problem with html file: %s\n", optionfilehtm);    fprintf(ficlog,"Computing matrix of variance covariance of one-step probabilities: result on file '%s' \n",fileresprobcov);
     fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);    printf("and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
     exit(0);    fprintf(ficlog,"and correlation matrix of one-step probabilities: result on file '%s' \n",fileresprobcor);
   }    
   else{    fprintf(ficresprob,"#One-step probabilities and stand. devi in ()\n");
     fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");    fprintf(ficresprob,"# Age");
     fprintf(fichtm,"\n");    fprintf(ficresprobcov,"#One-step probabilities and covariance matrix\n");
     fprintf(ficresprobcov,"# Age");
     fprintf(fichtm,"\n<li><h4> Computing matrix of variance-covariance of step probabilities</h4></li>\n");    fprintf(ficresprobcor,"#One-step probabilities and correlation matrix\n");
     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");    fprintf(ficresprobcov,"# Age");
     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");  
   
   }    for(i=1; i<=nlstate;i++)
       for(j=1; j<=(nlstate+ndeath);j++){
          fprintf(ficresprob," p%1d-%1d (SE)",i,j);
   cov[1]=1;        fprintf(ficresprobcov," p%1d-%1d ",i,j);
   tj=cptcoveff;        fprintf(ficresprobcor," p%1d-%1d ",i,j);
   if (cptcovn<1) {tj=1;ncodemax[1]=1;}      }  
   j1=0;    fprintf(ficresprob,"\n");
   for(t=1; t<=tj;t++){    fprintf(ficresprobcov,"\n");
     for(i1=1; i1<=ncodemax[t];i1++){    fprintf(ficresprobcor,"\n");
       j1++;    xp=vector(1,npar);
          dnewm=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
       if  (cptcovn>0) {    doldm=matrix(1,(nlstate)*(nlstate+ndeath),1,(nlstate)*(nlstate+ndeath));
         fprintf(ficresprob, "\n#********** Variable ");    mu=matrix(1,(nlstate)*(nlstate+ndeath), (int) bage, (int)fage);
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    varpij=ma3x(1,nlstate*(nlstate+ndeath),1,nlstate*(nlstate+ndeath),(int) bage, (int) fage);
         fprintf(ficresprob, "**********\n#");    first=1;
         fprintf(ficresprobcov, "\n#********** Variable ");    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      printf("Problem with gnuplot file: %s\n", optionfilegnuplot);
         fprintf(ficresprobcov, "**********\n#");      fprintf(ficlog,"Problem with gnuplot file: %s\n", optionfilegnuplot);
              exit(0);
         fprintf(ficgp, "\n#********** Variable ");    }
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, "# V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);    else{
         fprintf(ficgp, "**********\n#");      fprintf(ficgp,"\n# Routine varprob");
            }
            if((fichtm=fopen(optionfilehtm,"a"))==NULL) {
         fprintf(fichtm, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable ");      printf("Problem with html file: %s\n", optionfilehtm);
         for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      fprintf(ficlog,"Problem with html file: %s\n", optionfilehtm);
         fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");      exit(0);
            }
         fprintf(ficresprobcor, "\n#********** Variable ");        else{
         for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);      fprintf(fichtm,"\n<li><h4> Computing and drawing one step probabilities with their confidence intervals</h4></li>\n");
         fprintf(ficgp, "**********\n#");          fprintf(fichtm,"\n");
       }  
            fprintf(fichtm,"\n<li><h4> Computing matrix of variance-covariance of step probabilities</h4></li>\n");
       for (age=bage; age<=fage; age ++){      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");
         cov[2]=age;      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");
         for (k=1; k<=cptcovn;k++) {  
           cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];    }
         }  
         for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];   
         for (k=1; k<=cptcovprod;k++)    cov[1]=1;
           cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];    tj=cptcoveff;
            if (cptcovn<1) {tj=1;ncodemax[1]=1;}
         gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));    j1=0;
         trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);    for(t=1; t<=tj;t++){
         gp=vector(1,(nlstate)*(nlstate+ndeath));      for(i1=1; i1<=ncodemax[t];i1++){ 
         gm=vector(1,(nlstate)*(nlstate+ndeath));        j1++;
            
         for(theta=1; theta <=npar; theta++){        if  (cptcovn>0) {
           for(i=1; i<=npar; i++)          fprintf(ficresprob, "\n#********** Variable "); 
             xp[i] = x[i] + (i==theta ?delti[theta]:0);          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprob, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
                    fprintf(ficresprob, "**********\n#");
           pmij(pmmij,cov,ncovmodel,xp,nlstate);          fprintf(ficresprobcov, "\n#********** Variable "); 
                    for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcov, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           k=0;          fprintf(ficresprobcov, "**********\n#");
           for(i=1; i<= (nlstate); i++){          
             for(j=1; j<=(nlstate+ndeath);j++){          fprintf(ficgp, "\n#********** Variable "); 
               k=k+1;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficgp, "# V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
               gp[k]=pmmij[i][j];          fprintf(ficgp, "**********\n#");
             }          
           }          
                    fprintf(fichtm, "\n<hr  size=\"2\" color=\"#EC5E5E\">********** Variable "); 
           for(i=1; i<=npar; i++)          for (z1=1; z1<=cptcoveff; z1++) fprintf(fichtm, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
             xp[i] = x[i] - (i==theta ?delti[theta]:0);          fprintf(fichtm, "**********\n<hr size=\"2\" color=\"#EC5E5E\">");
              
           pmij(pmmij,cov,ncovmodel,xp,nlstate);          fprintf(ficresprobcor, "\n#********** Variable ");    
           k=0;          for (z1=1; z1<=cptcoveff; z1++) fprintf(ficresprobcor, "V%d=%d ",Tvaraff[z1],nbcode[Tvaraff[z1]][codtab[j1][z1]]);
           for(i=1; i<=(nlstate); i++){          fprintf(ficgp, "**********\n#");    
             for(j=1; j<=(nlstate+ndeath);j++){        }
               k=k+1;        
               gm[k]=pmmij[i][j];        for (age=bage; age<=fage; age ++){ 
             }          cov[2]=age;
           }          for (k=1; k<=cptcovn;k++) {
                  cov[2+k]=nbcode[Tvar[k]][codtab[j1][Tvar[k]]];
           for(i=1; i<= (nlstate)*(nlstate+ndeath); i++)          }
             gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];            for (k=1; k<=cptcovage;k++) cov[2+Tage[k]]=cov[2+Tage[k]]*cov[2];
         }          for (k=1; k<=cptcovprod;k++)
             cov[2+Tprod[k]]=nbcode[Tvard[k][1]][codtab[ij][Tvard[k][1]]]*nbcode[Tvard[k][2]][codtab[ij][Tvard[k][2]]];
         for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)          
           for(theta=1; theta <=npar; theta++)          gradg=matrix(1,npar,1,(nlstate)*(nlstate+ndeath));
             trgradg[j][theta]=gradg[theta][j];          trgradg=matrix(1,(nlstate)*(nlstate+ndeath),1,npar);
                  gp=vector(1,(nlstate)*(nlstate+ndeath));
         matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov);          gm=vector(1,(nlstate)*(nlstate+ndeath));
         matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);      
                  for(theta=1; theta <=npar; theta++){
         pmij(pmmij,cov,ncovmodel,x,nlstate);            for(i=1; i<=npar; i++)
                      xp[i] = x[i] + (i==theta ?delti[theta]:0);
         k=0;            
         for(i=1; i<=(nlstate); i++){            pmij(pmmij,cov,ncovmodel,xp,nlstate);
           for(j=1; j<=(nlstate+ndeath);j++){            
             k=k+1;            k=0;
             mu[k][(int) age]=pmmij[i][j];            for(i=1; i<= (nlstate); i++){
           }              for(j=1; j<=(nlstate+ndeath);j++){
         }                k=k+1;
         for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)                gp[k]=pmmij[i][j];
           for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)              }
             varpij[i][j][(int)age] = doldm[i][j];            }
             
         /*printf("\n%d ",(int)age);            for(i=1; i<=npar; i++)
      for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){              xp[i] = x[i] - (i==theta ?delti[theta]:0);
        printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));      
        fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));            pmij(pmmij,cov,ncovmodel,xp,nlstate);
      }*/            k=0;
             for(i=1; i<=(nlstate); i++){
         fprintf(ficresprob,"\n%d ",(int)age);              for(j=1; j<=(nlstate+ndeath);j++){
         fprintf(ficresprobcov,"\n%d ",(int)age);                k=k+1;
         fprintf(ficresprobcor,"\n%d ",(int)age);                gm[k]=pmmij[i][j];
               }
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)            }
           fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));       
         for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){            for(i=1; i<= (nlstate)*(nlstate+ndeath); i++) 
           fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);              gradg[theta][i]=(gp[i]-gm[i])/2./delti[theta];  
           fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);          }
         }  
         i=0;          for(j=1; j<=(nlstate)*(nlstate+ndeath);j++)
         for (k=1; k<=(nlstate);k++){            for(theta=1; theta <=npar; theta++)
           for (l=1; l<=(nlstate+ndeath);l++){              trgradg[j][theta]=gradg[theta][j];
             i=i++;          
             fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);          matprod2(dnewm,trgradg,1,(nlstate)*(nlstate+ndeath),1,npar,1,npar,matcov); 
             fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);          matprod2(doldm,dnewm,1,(nlstate)*(nlstate+ndeath),1,npar,1,(nlstate)*(nlstate+ndeath),gradg);
             for (j=1; j<=i;j++){          
               fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);          pmij(pmmij,cov,ncovmodel,x,nlstate);
               fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));          
             }          k=0;
           }          for(i=1; i<=(nlstate); i++){
         }/* end of loop for state */            for(j=1; j<=(nlstate+ndeath);j++){
       } /* end of loop for age */              k=k+1;
               mu[k][(int) age]=pmmij[i][j];
       /* Confidence intervalle of pij  */            }
       /*          }
       fprintf(ficgp,"\nset noparametric;unset label");          for(i=1;i<=(nlstate)*(nlstate+ndeath);i++)
       fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");            for(j=1;j<=(nlstate)*(nlstate+ndeath);j++)
       fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");              varpij[i][j][(int)age] = doldm[i][j];
       fprintf(fichtm,"\n<br>Probability with  confidence intervals expressed in year<sup>-1</sup> :<a href=\"pijgr%s.png\">pijgr%s.png</A>, ",optionfilefiname,optionfilefiname);  
       fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);          /*printf("\n%d ",(int)age);
       fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);       for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
       fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);         printf("%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
       */         fprintf(ficlog,"%e [%e ;%e] ",gm[i],gm[i]-2*sqrt(doldm[i][i]),gm[i]+2*sqrt(doldm[i][i]));
        }*/
       /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/  
       first1=1;          fprintf(ficresprob,"\n%d ",(int)age);
       for (k2=1; k2<=(nlstate);k2++){          fprintf(ficresprobcov,"\n%d ",(int)age);
         for (l2=1; l2<=(nlstate+ndeath);l2++){          fprintf(ficresprobcor,"\n%d ",(int)age);
           if(l2==k2) continue;  
           j=(k2-1)*(nlstate+ndeath)+l2;          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++)
           for (k1=1; k1<=(nlstate);k1++){            fprintf(ficresprob,"%11.3e (%11.3e) ",mu[i][(int) age],sqrt(varpij[i][i][(int)age]));
             for (l1=1; l1<=(nlstate+ndeath);l1++){          for (i=1; i<=(nlstate)*(nlstate+ndeath);i++){
               if(l1==k1) continue;            fprintf(ficresprobcov,"%11.3e ",mu[i][(int) age]);
               i=(k1-1)*(nlstate+ndeath)+l1;            fprintf(ficresprobcor,"%11.3e ",mu[i][(int) age]);
               if(i<=j) continue;          }
               for (age=bage; age<=fage; age ++){          i=0;
                 if ((int)age %5==0){          for (k=1; k<=(nlstate);k++){
                   v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;            for (l=1; l<=(nlstate+ndeath);l++){ 
                   v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;              i=i++;
                   cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;              fprintf(ficresprobcov,"\n%d %d-%d",(int)age,k,l);
                   mu1=mu[i][(int) age]/stepm*YEARM ;              fprintf(ficresprobcor,"\n%d %d-%d",(int)age,k,l);
                   mu2=mu[j][(int) age]/stepm*YEARM;              for (j=1; j<=i;j++){
                   c12=cv12/sqrt(v1*v2);                fprintf(ficresprobcov," %11.3e",varpij[i][j][(int)age]);
                   /* Computing eigen value of matrix of covariance */                fprintf(ficresprobcor," %11.3e",varpij[i][j][(int) age]/sqrt(varpij[i][i][(int) age])/sqrt(varpij[j][j][(int)age]));
                   lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;              }
                   lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;            }
                   /* Eigen vectors */          }/* end of loop for state */
                   v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));        } /* end of loop for age */
                   /*v21=sqrt(1.-v11*v11); *//* error */  
                   v21=(lc1-v1)/cv12*v11;        /* Confidence intervalle of pij  */
                   v12=-v21;        /*
                   v22=v11;        fprintf(ficgp,"\nset noparametric;unset label");
                   tnalp=v21/v11;        fprintf(ficgp,"\nset log y;unset log x; set xlabel \"Age\";set ylabel \"probability (year-1)\"");
                   if(first1==1){        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
                     first1=0;        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);
                     printf("%d %d%d-%d%d mu %.4e %.4e Var %.4e %.4e cor %.3f cov %.4e Eig %.3e %.3e 1stv %.3f %.3f tang %.3f\nOthers in log...\n",(int) age,k1,l1,k2,l2,mu1,mu2,v1,v2,c12,cv12,lc1,lc2,v11,v21,tnalp);        fprintf(fichtm,"\n<br><img src=\"pijgr%s.png\"> ",optionfilefiname);
                   }        fprintf(ficgp,"\nset out \"pijgr%s.png\"",optionfilefiname);
                   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);        fprintf(ficgp,"\nplot \"%s\" every :::%d::%d u 1:2 \"\%%lf",k1,k2,xfilevarprob);
                   /*printf(fignu*/        */
                   /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */  
                   /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */        /* Drawing ellipsoids of confidence of two variables p(k1-l1,k2-l2)*/
                   if(first==1){        first1=1;
                     first=0;        for (k2=1; k2<=(nlstate);k2++){
                     fprintf(ficgp,"\nset parametric;unset label");          for (l2=1; l2<=(nlstate+ndeath);l2++){ 
                     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(l2==k2) continue;
                     fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");            j=(k2-1)*(nlstate+ndeath)+l2;
                     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 (k1=1; k1<=(nlstate);k1++){
                     fprintf(fichtm,"\n<br><img src=\"varpijgr%s%d%1d%1d-%1d%1d.png\"> ",optionfilefiname, j1,k1,l1,k2,l2);              for (l1=1; l1<=(nlstate+ndeath);l1++){ 
                     fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k1,l1,k2,l2);                if(l1==k1) continue;
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);                i=(k1-1)*(nlstate+ndeath)+l1;
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);                if(i<=j) continue;
                     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",\                for (age=bage; age<=fage; age ++){ 
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\                  if ((int)age %5==0){
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));                    v1=varpij[i][i][(int)age]/stepm*YEARM/stepm*YEARM;
                   }else{                    v2=varpij[j][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     first=0;                    cv12=varpij[i][j][(int)age]/stepm*YEARM/stepm*YEARM;
                     fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);                    mu1=mu[i][(int) age]/stepm*YEARM ;
                     fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);                    mu2=mu[j][(int) age]/stepm*YEARM;
                     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",\                    c12=cv12/sqrt(v1*v2);
                             mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\                    /* Computing eigen value of matrix of covariance */
                             mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));                    lc1=((v1+v2)+sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                   }/* if first */                    lc2=((v1+v2)-sqrt((v1+v2)*(v1+v2) - 4*(v1*v2-cv12*cv12)))/2.;
                 } /* age mod 5 */                    /* Eigen vectors */
               } /* end loop age */                    v11=(1./sqrt(1+(v1-lc1)*(v1-lc1)/cv12/cv12));
               fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k1,l1,k2,l2);                    /*v21=sqrt(1.-v11*v11); *//* error */
               first=1;                    v21=(lc1-v1)/cv12*v11;
             } /*l12 */                    v12=-v21;
           } /* k12 */                    v22=v11;
         } /*l1 */                    tnalp=v21/v11;
       }/* k1 */                    if(first1==1){
     } /* loop covariates */                      first1=0;
     free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);                      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);
     free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));                    }
     free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));                    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);
     free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);                    /*printf(fignu*/
     free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                    /* mu1+ v11*lc1*cost + v12*lc2*sin(t) */
     free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);                    /* mu2+ v21*lc1*cost + v22*lc2*sin(t) */
   }                    if(first==1){
   free_vector(xp,1,npar);                      first=0;
   fclose(ficresprob);                      fprintf(ficgp,"\nset parametric;unset label");
   fclose(ficresprobcov);                      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);
   fclose(ficresprobcor);                      fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65");
   fclose(ficgp);                      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);
   fclose(fichtm);                      fprintf(fichtm,"\n<br><img src=\"varpijgr%s%d%1d%1d-%1d%1d.png\"> ",optionfilefiname, j1,k1,l1,k2,l2);
 }                      fprintf(fichtm,"\n<br> Correlation at age %d (%.3f),",(int) age, c12);
                       fprintf(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\"",optionfilefiname, j1,k1,l1,k2,l2);
                       fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
 /******************* Printing html file ***********/                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
 void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \                      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",\
                   int lastpass, int stepm, int weightopt, char model[],\                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
                   int imx,int jmin, int jmax, double jmeanint,char rfileres[],\                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
                   int popforecast, int estepm ,\                    }else{
                   double jprev1, double mprev1,double anprev1, \                      first=0;
                   double jprev2, double mprev2,double anprev2){                      fprintf(fichtm," %d (%.3f),",(int) age, c12);
   int jj1, k1, i1, cpt;                      fprintf(ficgp,"\n# Age %d, p%1d%1d - p%1d%1d",(int) age, k1,l1,k2,l2);
   /*char optionfilehtm[FILENAMELENGTH];*/                      fprintf(ficgp,"\nset label \"%d\" at %11.3e,%11.3e center",(int) age, mu1,mu2);
   if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {                      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",\
     printf("Problem with %s \n",optionfilehtm), exit(0);                              mu1,std,v11,sqrt(lc1),v12,sqrt(lc2),\
     fprintf(ficlog,"Problem with %s \n",optionfilehtm), exit(0);                              mu2,std,v21,sqrt(lc1),v22,sqrt(lc2));
   }                    }/* if first */
                   } /* age mod 5 */
    fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n                } /* end loop age */
  - 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(ficgp,"\nset out \"varpijgr%s%d%1d%1d-%1d%1d.png\";replot;",optionfilefiname, j1,k1,l1,k2,l2);
  - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n                first=1;
  - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n              } /*l12 */
  - Life expectancies by age and initial health status (estepm=%2d months):            } /* k12 */
    <a href=\"e%s\">e%s</a> <br>\n</li>", \          } /*l1 */
   jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);        }/* k1 */
       } /* loop covariates */
 fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");      free_ma3x(varpij,1,nlstate,1,nlstate+ndeath,(int) bage, (int)fage);
       free_vector(gp,1,(nlstate+ndeath)*(nlstate+ndeath));
  m=cptcoveff;      free_vector(gm,1,(nlstate+ndeath)*(nlstate+ndeath));
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}      free_matrix(mu,1,(nlstate+ndeath)*(nlstate+ndeath),(int) bage, (int)fage);
       free_matrix(trgradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
  jj1=0;      free_matrix(gradg,1,(nlstate+ndeath)*(nlstate+ndeath),1,npar);
  for(k1=1; k1<=m;k1++){    }
    for(i1=1; i1<=ncodemax[k1];i1++){    free_vector(xp,1,npar);
      jj1++;    fclose(ficresprob);
      if (cptcovn > 0) {    fclose(ficresprobcov);
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");    fclose(ficresprobcor);
        for (cpt=1; cpt<=cptcoveff;cpt++)    fclose(ficgp);
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);    fclose(fichtm);
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");  }
      }  
      /* Pij */  
      fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before: pe%s%d1.png<br>  /******************* Printing html file ***********/
 <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);      void printinghtml(char fileres[], char title[], char datafile[], int firstpass, \
      /* Quasi-incidences */                    int lastpass, int stepm, int weightopt, char model[],\
      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>                    int imx,int jmin, int jmax, double jmeanint,char rfileres[],\
 <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);                    int popforecast, int estepm ,\
        /* Stable prevalence in each health state */                    double jprev1, double mprev1,double anprev1, \
        for(cpt=1; cpt<nlstate;cpt++){                    double jprev2, double mprev2,double anprev2){
          fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>    int jj1, k1, i1, cpt;
 <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);    /*char optionfilehtm[FILENAMELENGTH];*/
        }    if((fichtm=fopen(optionfilehtm,"a"))==NULL)    {
      for(cpt=1; cpt<=nlstate;cpt++) {      printf("Problem with %s \n",optionfilehtm), exit(0);
         fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>      fprintf(ficlog,"Problem with %s \n",optionfilehtm), exit(0);
 <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);    }
      }  
      fprintf(fichtm,"\n<br>- Total life expectancy by age and     fprintf(fichtm,"<ul><li><h4>Result files (first order: no variance)</h4>\n
 health expectancies in states (1) and (2): e%s%d.png<br>   - 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
 <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);   - Estimated transition probabilities over %d (stepm) months: <a href=\"pij%s\">pij%s</a><br>\n
    } /* end i1 */   - Stable prevalence in each health state: <a href=\"pl%s\">pl%s</a> <br>\n
  }/* End k1 */   - Life expectancies by age and initial health status (estepm=%2d months): 
  fprintf(fichtm,"</ul>");     <a href=\"e%s\">e%s</a> <br>\n</li>", \
     jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,fileres,fileres,stepm,fileres,fileres,fileres,fileres,estepm,fileres,fileres);
   
  fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n  fprintf(fichtm," \n<ul><li><b>Graphs</b></li><p>");
  - 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   m=cptcoveff;
  - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
  - 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   jj1=0;
  - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n   for(k1=1; k1<=m;k1++){
  - 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);     for(i1=1; i1<=ncodemax[k1];i1++){
        jj1++;
  if(popforecast==1) fprintf(fichtm,"\n       if (cptcovn > 0) {
  - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
  - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n         for (cpt=1; cpt<=cptcoveff;cpt++) 
         <br>",fileres,fileres,fileres,fileres);           fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
  else         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
    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>");       /* Pij */
        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>
  m=cptcoveff;  <img src=\"pe%s%d1.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);     
  if (cptcovn < 1) {m=1;ncodemax[1]=1;}       /* Quasi-incidences */
        fprintf(fichtm,"<br>- Pij or Conditional probabilities to be observed in state j being in state i %d (stepm) months before but expressed in per year i.e. quasi incidences if stepm is small and probabilities too: pe%s%d2.png<br>
  jj1=0;  <img src=\"pe%s%d2.png\">",stepm,strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1); 
  for(k1=1; k1<=m;k1++){         /* Stable prevalence in each health state */
    for(i1=1; i1<=ncodemax[k1];i1++){         for(cpt=1; cpt<nlstate;cpt++){
      jj1++;           fprintf(fichtm,"<br>- Stable prevalence in each health state : p%s%d%d.png<br>
      if (cptcovn > 0) {  <img src=\"p%s%d%d.png\">",strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);
        fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");         }
        for (cpt=1; cpt<=cptcoveff;cpt++)       for(cpt=1; cpt<=nlstate;cpt++) {
          fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);          fprintf(fichtm,"\n<br>- Health life expectancies by age and initial health state (%d): exp%s%d%d.png <br>
        fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");  <img src=\"exp%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);
      }       }
      for(cpt=1; cpt<=nlstate;cpt++) {       fprintf(fichtm,"\n<br>- Total life expectancy by age and
        fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident  health expectancies in states (1) and (2): e%s%d.png<br>
 interval) in state (%d): v%s%d%d.png <br>  <img src=\"e%s%d.png\">",strtok(optionfile, "."),jj1,strtok(optionfile, "."),jj1);
 <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);       } /* end i1 */
      }   }/* End k1 */
    } /* end i1 */   fprintf(fichtm,"</ul>");
  }/* End k1 */  
  fprintf(fichtm,"</ul>");  
 fclose(fichtm);   fprintf(fichtm,"\n<br><li><h4> Result files (second order: variances)</h4>\n
 }   - Parameter file with estimated parameters and covariance matrix: <a href=\"%s\">%s</a> <br>\n
    - Variance of one-step probabilities: <a href=\"prob%s\">prob%s</a> <br>\n
 /******************* Gnuplot file **************/   - Variance-covariance of one-step probabilities: <a href=\"probcov%s\">probcov%s</a> <br>\n
 void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){   - 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 
   int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;   - Health expectancies with their variances (no covariance): <a href=\"t%s\">t%s</a> <br>\n
   int ng;   - 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);
   if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {  
     printf("Problem with file %s",optionfilegnuplot);   if(popforecast==1) fprintf(fichtm,"\n
     fprintf(ficlog,"Problem with file %s",optionfilegnuplot);   - Prevalences forecasting: <a href=\"f%s\">f%s</a> <br>\n
   }   - Population forecasting (if popforecast=1): <a href=\"pop%s\">pop%s</a> <br>\n
           <br>",fileres,fileres,fileres,fileres);
 #ifdef windows   else 
     fprintf(ficgp,"cd \"%s\" \n",pathc);     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);
 #endif  fprintf(fichtm," <ul><li><b>Graphs</b></li><p>");
 m=pow(2,cptcoveff);  
     m=cptcoveff;
  /* 1eme*/   if (cptcovn < 1) {m=1;ncodemax[1]=1;}
   for (cpt=1; cpt<= nlstate ; cpt ++) {  
    for (k1=1; k1<= m ; k1 ++) {   jj1=0;
    for(k1=1; k1<=m;k1++){
 #ifdef windows     for(i1=1; i1<=ncodemax[k1];i1++){
      fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);       jj1++;
      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);       if (cptcovn > 0) {
 #endif         fprintf(fichtm,"<hr  size=\"2\" color=\"#EC5E5E\">************ Results for covariates");
 #ifdef unix         for (cpt=1; cpt<=cptcoveff;cpt++) 
 fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);           fprintf(fichtm," V%d=%d ",Tvaraff[cpt],nbcode[Tvaraff[cpt]][codtab[jj1][cpt]]);
 fprintf(ficgp,"set xlabel \"Age\" \nset ylabel \"Probability\" \nplot [%.f:%.f] \"vpl%s\" u 1:2 \"\%%lf",ageminpar,fage,fileres);         fprintf(fichtm," ************\n<hr size=\"2\" color=\"#EC5E5E\">");
 #endif       }
        for(cpt=1; cpt<=nlstate;cpt++) {
 for (i=1; i<= nlstate ; i ++) {         fprintf(fichtm,"<br>- Observed and stationary prevalence (with confident
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  interval) in state (%d): v%s%d%d.png <br>
   else fprintf(ficgp," \%%*lf (\%%*lf)");  <img src=\"v%s%d%d.png\">",cpt,strtok(optionfile, "."),cpt,jj1,strtok(optionfile, "."),cpt,jj1);  
 }       }
     fprintf(ficgp,"\" t\"Stationary prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%lf",fileres,k1-1,k1-1);     } /* end i1 */
     for (i=1; i<= nlstate ; i ++) {   }/* End k1 */
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");   fprintf(fichtm,"</ul>");
   else fprintf(ficgp," \%%*lf (\%%*lf)");  fclose(fichtm);
 }  }
   fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1);  
      for (i=1; i<= nlstate ; i ++) {  /******************* Gnuplot file **************/
   if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");  void printinggnuplot(char fileres[], double ageminpar, double agemaxpar, double fage , char pathc[], double p[]){
   else fprintf(ficgp," \%%*lf (\%%*lf)");  
 }      int m,cpt,k1,i,k,j,jk,k2,k3,ij,l;
      fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));    int ng;
 #ifdef unix    if((ficgp=fopen(optionfilegnuplot,"a"))==NULL) {
 fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\n");      printf("Problem with file %s",optionfilegnuplot);
 #endif      fprintf(ficlog,"Problem with file %s",optionfilegnuplot);
    }    }
   }  
   /*2 eme*/    /*#ifdef windows */
       fprintf(ficgp,"cd \"%s\" \n",pathc);
   for (k1=1; k1<= m ; k1 ++) {      /*#endif */
     fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);  m=pow(2,cptcoveff);
     fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);    
       /* 1eme*/
     for (i=1; i<= nlstate+1 ; i ++) {    for (cpt=1; cpt<= nlstate ; cpt ++) {
       k=2*i;     for (k1=1; k1<= m ; k1 ++) {
       fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);       fprintf(ficgp,"\nset out \"v%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);
       for (j=1; j<= nlstate+1 ; j ++) {       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);
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");  
   else fprintf(ficgp," \%%*lf (\%%*lf)");       for (i=1; i<= nlstate ; i ++) {
 }           if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
       if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");         else fprintf(ficgp," \%%*lf (\%%*lf)");
       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);       fprintf(ficgp,"\" t\"Stable prevalence\" w l 0,\"vpl%s\" every :::%d::%d u 1:($2+2*$3) \"\%%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)");         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
         else fprintf(ficgp," \%%*lf (\%%*lf)");         else fprintf(ficgp," \%%*lf (\%%*lf)");
 }         } 
       fprintf(ficgp,"\" t\"\" w l 0,");       fprintf(ficgp,"\" t\"95\%% CI\" w l 1,\"vpl%s\" every :::%d::%d u 1:($2-2*$3) \"\%%lf",fileres,k1-1,k1-1); 
      fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:($2+$3*2) \"\%%lf",fileres,k1-1,k1-1);       for (i=1; i<= nlstate ; i ++) {
       for (j=1; j<= nlstate+1 ; j ++) {         if (i==cpt) fprintf(ficgp," \%%lf (\%%lf)");
   if (j==i) fprintf(ficgp," \%%lf (\%%lf)");         else fprintf(ficgp," \%%*lf (\%%*lf)");
   else fprintf(ficgp," \%%*lf (\%%*lf)");       }  
 }         fprintf(ficgp,"\" t\"\" w l 1,\"p%s\" every :::%d::%d u 1:($%d) t\"Observed prevalence \" w l 2",fileres,k1-1,k1-1,2+4*(cpt-1));
       if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");     }
       else fprintf(ficgp,"\" t\"\" w l 0,");    }
     }    /*2 eme*/
   }    
      for (k1=1; k1<= m ; k1 ++) { 
   /*3eme*/      fprintf(ficgp,"\nset out \"e%s%d.png\" \n",strtok(optionfile, "."),k1);
       fprintf(ficgp,"set ylabel \"Years\" \nset ter png small\nset size 0.65,0.65\nplot [%.f:%.f] ",ageminpar,fage);
   for (k1=1; k1<= m ; k1 ++) {      
     for (cpt=1; cpt<= nlstate ; cpt ++) {      for (i=1; i<= nlstate+1 ; i ++) {
       k=2+nlstate*(2*cpt-2);        k=2*i;
       fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);        fprintf(ficgp,"\"t%s\" every :::%d::%d u 1:2 \"\%%lf",fileres,k1-1,k1-1);
       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);        for (j=1; j<= nlstate+1 ; j ++) {
       /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");          else fprintf(ficgp," \%%*lf (\%%*lf)");
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);        }   
 fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);        if (i== 1) fprintf(ficgp,"\" t\"TLE\" w l ,");
  for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");        else fprintf(ficgp,"\" t\"LE in state (%d)\" w l ,",i-1);
 fprintf(ficgp,"\" t \"e%d1\" w l",cpt);        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)");
       for (i=1; i< nlstate ; i ++) {          else fprintf(ficgp," \%%*lf (\%%*lf)");
         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);        }   
         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 ++) {
   }          if (j==i) fprintf(ficgp," \%%lf (\%%lf)");
            else fprintf(ficgp," \%%*lf (\%%*lf)");
   /* CV preval stat */        }   
     for (k1=1; k1<= m ; k1 ++) {        if (i== (nlstate+1)) fprintf(ficgp,"\" t\"\" w l 0");
     for (cpt=1; cpt<nlstate ; cpt ++) {        else fprintf(ficgp,"\" t\"\" w l 0,");
       k=3;      }
       fprintf(ficgp,"\nset out \"p%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] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);    
     /*3eme*/
       for (i=1; i< nlstate ; i ++)    
         fprintf(ficgp,"+$%d",k+i+1);    for (k1=1; k1<= m ; k1 ++) { 
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);      for (cpt=1; cpt<= nlstate ; cpt ++) {
              k=2+nlstate*(2*cpt-2);
       l=3+(nlstate+ndeath)*cpt;        fprintf(ficgp,"\nset out \"exp%s%d%d.png\" \n",strtok(optionfile, "."),cpt,k1);
       fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);        fprintf(ficgp,"set ter png small\nset size 0.65,0.65\nplot [%.f:%.f] \"e%s\" every :::%d::%d u 1:%d t \"e%d1\" w l",ageminpar,fage,fileres,k1-1,k1-1,k,cpt);
       for (i=1; i< nlstate ; i ++) {        /*fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d-2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
         l=3+(nlstate+ndeath)*cpt;          for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
         fprintf(ficgp,"+$%d",l+i+1);          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
       }          fprintf(ficgp,",\"e%s\" every :::%d::%d u 1:($%d+2*$%d) \"\%%lf ",fileres,k1-1,k1-1,k,k+1);
       fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);            for (i=1; i<= nlstate*2 ; i ++) fprintf(ficgp,"\%%lf (\%%lf) ");
     }          fprintf(ficgp,"\" t \"e%d1\" w l",cpt);
   }            
          */
   /* proba elementaires */        for (i=1; i< nlstate ; i ++) {
    for(i=1,jk=1; i <=nlstate; i++){          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);
     for(k=1; k <=(nlstate+ndeath); k++){          
       if (k != i) {        } 
         for(j=1; j <=ncovmodel; j++){      }
           fprintf(ficgp,"p%d=%f ",jk,p[jk]);    }
           jk++;    
           fprintf(ficgp,"\n");    /* CV preval stat */
         }    for (k1=1; k1<= m ; k1 ++) { 
       }      for (cpt=1; cpt<nlstate ; cpt ++) {
     }        k=3;
    }        fprintf(ficgp,"\nset out \"p%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] \"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",ageminpar,agemaxpar,fileres,k1,k+cpt+1,k+1);
    for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/        
      for(jk=1; jk <=m; jk++) {        for (i=1; i< nlstate ; i ++)
        fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng);          fprintf(ficgp,"+$%d",k+i+1);
        if (ng==2)        fprintf(ficgp,")) t\"prev(%d,%d)\" w l",cpt,cpt+1);
          fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");        
        else        l=3+(nlstate+ndeath)*cpt;
          fprintf(ficgp,"\nset title \"Probability\"\n");        fprintf(ficgp,",\"pij%s\" u ($1==%d ? ($3):1/0):($%d/($%d",fileres,k1,l+cpt+1,l+1);
        fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);        for (i=1; i< nlstate ; i ++) {
        i=1;          l=3+(nlstate+ndeath)*cpt;
        for(k2=1; k2<=nlstate; k2++) {          fprintf(ficgp,"+$%d",l+i+1);
          k3=i;        }
          for(k=1; k<=(nlstate+ndeath); k++) {        fprintf(ficgp,")) t\"prev(%d,%d)\" w l\n",cpt+1,cpt+1);   
            if (k != k2){      } 
              if(ng==2)    }  
                fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);    
              else    /* proba elementaires */
                fprintf(ficgp," exp(p%d+p%d*x",i,i+1);    for(i=1,jk=1; i <=nlstate; i++){
              ij=1;      for(k=1; k <=(nlstate+ndeath); k++){
              for(j=3; j <=ncovmodel; j++) {        if (k != i) {
                if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {          for(j=1; j <=ncovmodel; j++){
                  fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);            fprintf(ficgp,"p%d=%f ",jk,p[jk]);
                  ij++;            jk++; 
                }            fprintf(ficgp,"\n");
                else          }
                  fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);        }
              }      }
              fprintf(ficgp,")/(1");     }
                
              for(k1=1; k1 <=nlstate; k1++){       for(ng=1; ng<=2;ng++){ /* Number of graphics: first is probabilities second is incidence per year*/
                fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);       for(jk=1; jk <=m; jk++) {
                ij=1;         fprintf(ficgp,"\nset out \"pe%s%d%d.png\" \n",strtok(optionfile, "."),jk,ng); 
                for(j=3; j <=ncovmodel; j++){         if (ng==2)
                  if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {           fprintf(ficgp,"\nset ylabel \"Quasi-incidence per year\"\n");
                    fprintf(ficgp,"+p%d*%d*x",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);         else
                    ij++;           fprintf(ficgp,"\nset title \"Probability\"\n");
                  }         fprintf(ficgp,"\nset ter png small\nset size 0.65,0.65\nset log y\nplot  [%.f:%.f] ",ageminpar,agemaxpar);
                  else         i=1;
                    fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);         for(k2=1; k2<=nlstate; k2++) {
                }           k3=i;
                fprintf(ficgp,")");           for(k=1; k<=(nlstate+ndeath); k++) {
              }             if (k != k2){
              fprintf(ficgp,") t \"p%d%d\" ", k2,k);               if(ng==2)
              if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");                 fprintf(ficgp," %f*exp(p%d+p%d*x",YEARM/stepm,i,i+1);
              i=i+ncovmodel;               else
            }                 fprintf(ficgp," exp(p%d+p%d*x",i,i+1);
          } /* end k */               ij=1;
        } /* end k2 */               for(j=3; j <=ncovmodel; j++) {
      } /* end jk */                 if(((j-2)==Tage[ij]) &&(ij <=cptcovage)) {
    } /* end ng */                   fprintf(ficgp,"+p%d*%d*x",i+j-1,nbcode[Tvar[j-2]][codtab[jk][Tvar[j-2]]]);
    fclose(ficgp);                   ij++;
 }  /* end gnuplot */                 }
                  else
                    fprintf(ficgp,"+p%d*%d",i+j-1,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
 /*************** Moving average **************/               }
 void movingaverage(double agedeb, double fage,double ageminpar, double ***mobaverage){               fprintf(ficgp,")/(1");
                
   int i, cpt, cptcod;               for(k1=1; k1 <=nlstate; k1++){   
     for (agedeb=ageminpar; agedeb<=fage; agedeb++)                 fprintf(ficgp,"+exp(p%d+p%d*x",k3+(k1-1)*ncovmodel,k3+(k1-1)*ncovmodel+1);
       for (i=1; i<=nlstate;i++)                 ij=1;
         for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)                 for(j=3; j <=ncovmodel; j++){
           mobaverage[(int)agedeb][i][cptcod]=0.;                   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 (agedeb=ageminpar+4; agedeb<=fage; agedeb++){                     ij++;
       for (i=1; i<=nlstate;i++){                   }
         for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){                   else
           for (cpt=0;cpt<=4;cpt++){                     fprintf(ficgp,"+p%d*%d",k3+(k1-1)*ncovmodel+1+j-2,nbcode[Tvar[j-2]][codtab[jk][j-2]]);
             mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]+probs[(int)agedeb-cpt][i][cptcod];                 }
           }                 fprintf(ficgp,")");
           mobaverage[(int)agedeb-2][i][cptcod]=mobaverage[(int)agedeb-2][i][cptcod]/5;               }
         }               fprintf(ficgp,") t \"p%d%d\" ", k2,k);
       }               if ((k+k2)!= (nlstate*2+ndeath)) fprintf(ficgp,",");
     }               i=i+ncovmodel;
                 }
 }           } /* end k */
          } /* end k2 */
        } /* end jk */
 /************** Forecasting ******************/     } /* end ng */
 prevforecast(char fileres[], double anproj1,double mproj1,double jproj1,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anproj2,double p[], int i2){     fclose(ficgp); 
    }  /* end gnuplot */
   int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;  
   int *popage;  
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;  /*************** Moving average **************/
   double *popeffectif,*popcount;  int movingaverage(double ***probs, double bage,double fage, double ***mobaverage, int mobilav){
   double ***p3mat;  
   char fileresf[FILENAMELENGTH];    int i, cpt, cptcod;
     int mobilavrange, mob;
  agelim=AGESUP;    double age;
 calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;    if(mobilav==1||mobilav ==3 ||mobilav==5 ||mobilav== 7){
       if(mobilav==1) mobilavrange=5; /* default */
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);      else mobilavrange=mobilav;
        for (age=bage; age<=fage; age++)
          for (i=1; i<=nlstate;i++)
   strcpy(fileresf,"f");          for (cptcod=1;cptcod<=ncodemax[cptcov];cptcod++)
   strcat(fileresf,fileres);            mobaverage[(int)age][i][cptcod]=probs[(int)age][i][cptcod];
   if((ficresf=fopen(fileresf,"w"))==NULL) {      /* We keep the original values on the extreme ages bage, fage and for 
     printf("Problem with forecast resultfile: %s\n", fileresf);         fage+1 and bage-1 we use a 3 terms moving average; for fage+2 bage+2
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);         we use a 5 terms etc. until the borders are no more concerned. 
   }      */ 
   printf("Computing forecasting: result on file '%s' \n", fileresf);      for (mob=3;mob <=mobilavrange;mob=mob+2){
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);        for (age=bage+(mob-1)/2; age<=fage-(mob-1)/2; age++){
           for (i=1; i<=nlstate;i++){
   if (cptcoveff==0) ncodemax[cptcoveff]=1;            for (cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
               mobaverage[(int)age][i][cptcod] =probs[(int)age][i][cptcod];
   if (mobilav==1) {                for (cpt=1;cpt<=(mob-1)/2;cpt++){
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);                  mobaverage[(int)age][i][cptcod] +=probs[(int)age-cpt][i][cptcod];
     movingaverage(agedeb, fage, ageminpar, mobaverage);                  mobaverage[(int)age][i][cptcod] +=probs[(int)age+cpt][i][cptcod];
   }                }
               mobaverage[(int)age][i][cptcod]=mobaverage[(int)age][i][cptcod]/mob;
   stepsize=(int) (stepm+YEARM-1)/YEARM;            }
   if (stepm<=12) stepsize=1;          }
          }/* end age */
   agelim=AGESUP;      }/* end mob */
      }else return -1;
   hstepm=1;    return 0;
   hstepm=hstepm/stepm;  }/* End movingaverage */
   yp1=modf(dateintmean,&yp);  
   anprojmean=yp;  
   yp2=modf((yp1*12),&yp);  /************** Forecasting ******************/
   mprojmean=yp;  prevforecast(char fileres[], double anproj1,double mproj1,double jproj1,double ageminpar, double agemax,double dateprev1, double dateprev2, int mobilav, double agedeb, double fage, int popforecast, char popfile[], double anproj2,double p[], int i2){
   yp1=modf((yp2*30.5),&yp);    
   jprojmean=yp;    int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
   if(jprojmean==0) jprojmean=1;    int *popage;
   if(mprojmean==0) jprojmean=1;    double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
      double *popeffectif,*popcount;
   fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean);    double ***p3mat;
      double ***mobaverage;
   for(cptcov=1;cptcov<=i2;cptcov++){    char fileresf[FILENAMELENGTH];
     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){  
       k=k+1;   agelim=AGESUP;
       fprintf(ficresf,"\n#******");  calagedate=(anproj1+mproj1/12.+jproj1/365.-dateintmean)*YEARM;
       for(j=1;j<=cptcoveff;j++) {  
         fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);
       }   
       fprintf(ficresf,"******\n");   
       fprintf(ficresf,"# StartingAge FinalAge");    strcpy(fileresf,"f"); 
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);    strcat(fileresf,fileres);
          if((ficresf=fopen(fileresf,"w"))==NULL) {
            printf("Problem with forecast resultfile: %s\n", fileresf);
       for (cpt=0; cpt<=(anproj2-anproj1);cpt++) {      fprintf(ficlog,"Problem with forecast resultfile: %s\n", fileresf);
         fprintf(ficresf,"\n");    }
         fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);      printf("Computing forecasting: result on file '%s' \n", fileresf);
     fprintf(ficlog,"Computing forecasting: result on file '%s' \n", fileresf);
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){  
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);    if (cptcoveff==0) ncodemax[cptcoveff]=1;
           nhstepm = nhstepm/hstepm;  
              if (mobilav!=0) {
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
           oldm=oldms;savm=savms;      if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);          fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
                printf(" Error in movingaverage mobilav=%d\n",mobilav);
           for (h=0; h<=nhstepm; h++){      }
             if (h==(int) (calagedate+YEARM*cpt)) {    }
               fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);  
             }    stepsize=(int) (stepm+YEARM-1)/YEARM;
             for(j=1; j<=nlstate+ndeath;j++) {    if (stepm<=12) stepsize=1;
               kk1=0.;kk2=0;    
               for(i=1; i<=nlstate;i++) {                  agelim=AGESUP;
                 if (mobilav==1)    
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    hstepm=1;
                 else {    hstepm=hstepm/stepm; 
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    yp1=modf(dateintmean,&yp);
                 }    anprojmean=yp;
                    yp2=modf((yp1*12),&yp);
               }    mprojmean=yp;
               if (h==(int)(calagedate+12*cpt)){    yp1=modf((yp2*30.5),&yp);
                 fprintf(ficresf," %.3f", kk1);    jprojmean=yp;
                            if(jprojmean==0) jprojmean=1;
               }    if(mprojmean==0) jprojmean=1;
             }    
           }    fprintf(ficresf,"# Estimated date of observed prevalence: %.lf/%.lf/%.lf ",jprojmean,mprojmean,anprojmean); 
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);    
         }    for(cptcov=1;cptcov<=i2;cptcov++){
       }      for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
     }        k=k+1;
   }        fprintf(ficresf,"\n#******");
                for(j=1;j<=cptcoveff;j++) {
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);          fprintf(ficresf," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         }
   fclose(ficresf);        fprintf(ficresf,"******\n");
 }        fprintf(ficresf,"# StartingAge FinalAge");
 /************** Forecasting ******************/        for(j=1; j<=nlstate+ndeath;j++) fprintf(ficresf," P.%d",j);
 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;        for (cpt=0; cpt<=(anproj2-anproj1);cpt++) { 
   int *popage;          fprintf(ficresf,"\n");
   double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;          fprintf(ficresf,"\n# Forecasting at date %.lf/%.lf/%.lf ",jproj1,mproj1,anproj1+cpt);   
   double *popeffectif,*popcount;  
   double ***p3mat,***tabpop,***tabpopprev;          for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){ 
   char filerespop[FILENAMELENGTH];            nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
             nhstepm = nhstepm/hstepm; 
   tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);            
   tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);            p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   agelim=AGESUP;            oldm=oldms;savm=savms;
   calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;            hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
            
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);            for (h=0; h<=nhstepm; h++){
                if (h==(int) (calagedate+YEARM*cpt)) {
                  fprintf(ficresf,"\n %.f %.f ",anproj1+cpt,agedeb+h*hstepm/YEARM*stepm);
   strcpy(filerespop,"pop");              } 
   strcat(filerespop,fileres);              for(j=1; j<=nlstate+ndeath;j++) {
   if((ficrespop=fopen(filerespop,"w"))==NULL) {                kk1=0.;kk2=0;
     printf("Problem with forecast resultfile: %s\n", filerespop);                for(i=1; i<=nlstate;i++) {              
     fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);                  if (mobilav==1) 
   }                    kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];
   printf("Computing forecasting: result on file '%s' \n", filerespop);                  else {
   fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);                    kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];
                   }
   if (cptcoveff==0) ncodemax[cptcoveff]=1;                  
                 }
   if (mobilav==1) {                if (h==(int)(calagedate+12*cpt)){
     mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);                  fprintf(ficresf," %.3f", kk1);
     movingaverage(agedeb, fage, ageminpar, mobaverage);                          
   }                }
               }
   stepsize=(int) (stepm+YEARM-1)/YEARM;            }
   if (stepm<=12) stepsize=1;            free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
            }
   agelim=AGESUP;        }
        }
   hstepm=1;    }
   hstepm=hstepm/stepm;         
      if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   if (popforecast==1) {  
     if((ficpop=fopen(popfile,"r"))==NULL) {    fclose(ficresf);
       printf("Problem with population file : %s\n",popfile);exit(0);  }
       fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);  /************** Forecasting ******************/
     }  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){
     popage=ivector(0,AGESUP);    
     popeffectif=vector(0,AGESUP);    int cpt, stepsize, hstepm, nhstepm, j,k,c, cptcod, i,h;
     popcount=vector(0,AGESUP);    int *popage;
        double calagedate, agelim, kk1, kk2, yp,yp1,yp2,jprojmean,mprojmean,anprojmean;
     i=1;      double *popeffectif,*popcount;
     while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;    double ***p3mat,***tabpop,***tabpopprev;
        double ***mobaverage;
     imx=i;    char filerespop[FILENAMELENGTH];
     for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];  
   }    tabpop= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     tabpopprev= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   for(cptcov=1;cptcov<=i2;cptcov++){    agelim=AGESUP;
    for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){    calagedate=(anpyram+mpyram/12.+jpyram/365.-dateintmean)*YEARM;
       k=k+1;    
       fprintf(ficrespop,"\n#******");    prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);
       for(j=1;j<=cptcoveff;j++) {    
         fprintf(ficrespop," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    
       }    strcpy(filerespop,"pop"); 
       fprintf(ficrespop,"******\n");    strcat(filerespop,fileres);
       fprintf(ficrespop,"# Age");    if((ficrespop=fopen(filerespop,"w"))==NULL) {
       for(j=1; j<=nlstate+ndeath;j++) fprintf(ficrespop," P.%d",j);      printf("Problem with forecast resultfile: %s\n", filerespop);
       if (popforecast==1)  fprintf(ficrespop," [Population]");      fprintf(ficlog,"Problem with forecast resultfile: %s\n", filerespop);
          }
       for (cpt=0; cpt<=0;cpt++) {    printf("Computing forecasting: result on file '%s' \n", filerespop);
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);      fprintf(ficlog,"Computing forecasting: result on file '%s' \n", filerespop);
          
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){    if (cptcoveff==0) ncodemax[cptcoveff]=1;
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);  
           nhstepm = nhstepm/hstepm;    if (mobilav!=0) {
                mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);      if (movingaverage(probs, ageminpar, fage, mobaverage,mobilav)!=0){
           oldm=oldms;savm=savms;        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);          printf(" Error in movingaverage mobilav=%d\n",mobilav);
              }
           for (h=0; h<=nhstepm; h++){    }
             if (h==(int) (calagedate+YEARM*cpt)) {  
               fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);    stepsize=(int) (stepm+YEARM-1)/YEARM;
             }    if (stepm<=12) stepsize=1;
             for(j=1; j<=nlstate+ndeath;j++) {    
               kk1=0.;kk2=0;    agelim=AGESUP;
               for(i=1; i<=nlstate;i++) {                  
                 if (mobilav==1)    hstepm=1;
                   kk1=kk1+p3mat[i][j][h]*mobaverage[(int)agedeb+1][i][cptcod];    hstepm=hstepm/stepm; 
                 else {    
                   kk1=kk1+p3mat[i][j][h]*probs[(int)(agedeb+1)][i][cptcod];    if (popforecast==1) {
                 }      if((ficpop=fopen(popfile,"r"))==NULL) {
               }        printf("Problem with population file : %s\n",popfile);exit(0);
               if (h==(int)(calagedate+12*cpt)){        fprintf(ficlog,"Problem with population file : %s\n",popfile);exit(0);
                 tabpop[(int)(agedeb)][j][cptcod]=kk1;      } 
                   /*fprintf(ficrespop," %.3f", kk1);      popage=ivector(0,AGESUP);
                     if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/      popeffectif=vector(0,AGESUP);
               }      popcount=vector(0,AGESUP);
             }      
             for(i=1; i<=nlstate;i++){      i=1;   
               kk1=0.;      while ((c=fscanf(ficpop,"%d %lf\n",&popage[i],&popcount[i])) != EOF) i=i+1;
                 for(j=1; j<=nlstate;j++){     
                   kk1= kk1+tabpop[(int)(agedeb)][j][cptcod];      imx=i;
                 }      for (i=1; i<imx;i++) popeffectif[popage[i]]=popcount[i];
                   tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];    }
             }  
     for(cptcov=1;cptcov<=i2;cptcov++){
             if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++)     for(cptcod=1;cptcod<=ncodemax[cptcoveff];cptcod++){
               fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);        k=k+1;
           }        fprintf(ficrespop,"\n#******");
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);        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);
       for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) {        if (popforecast==1)  fprintf(ficrespop," [Population]");
         fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);          
         for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){        for (cpt=0; cpt<=0;cpt++) { 
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm);          fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
           nhstepm = nhstepm/hstepm;          
                    for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){ 
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);            nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
           oldm=oldms;savm=savms;            nhstepm = nhstepm/hstepm; 
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              
           for (h=0; h<=nhstepm; h++){            p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
             if (h==(int) (calagedate+YEARM*cpt)) {            oldm=oldms;savm=savms;
               fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);            hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
             }          
             for(j=1; j<=nlstate+ndeath;j++) {            for (h=0; h<=nhstepm; h++){
               kk1=0.;kk2=0;              if (h==(int) (calagedate+YEARM*cpt)) {
               for(i=1; i<=nlstate;i++) {                              fprintf(ficrespop,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
                 kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];                  } 
               }              for(j=1; j<=nlstate+ndeath;j++) {
               if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1);                kk1=0.;kk2=0;
             }                for(i=1; i<=nlstate;i++) {              
           }                  if (mobilav==1) 
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);                    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)(calagedate+12*cpt)){
   if (mobilav==1) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);                  tabpop[(int)(agedeb)][j][cptcod]=kk1;
                     /*fprintf(ficrespop," %.3f", kk1);
   if (popforecast==1) {                      if (popforecast==1) fprintf(ficrespop," [%.f]", kk1*popeffectif[(int)agedeb+1]);*/
     free_ivector(popage,0,AGESUP);                }
     free_vector(popeffectif,0,AGESUP);              }
     free_vector(popcount,0,AGESUP);              for(i=1; i<=nlstate;i++){
   }                kk1=0.;
   free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);                  for(j=1; j<=nlstate;j++){
   free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);                    kk1= kk1+tabpop[(int)(agedeb)][j][cptcod]; 
   fclose(ficrespop);                  }
 }                    tabpopprev[(int)(agedeb)][i][cptcod]=tabpop[(int)(agedeb)][i][cptcod]/kk1*popeffectif[(int)(agedeb+(calagedate+12*cpt)*hstepm/YEARM*stepm-1)];
               }
 /***********************************************/  
 /**************** Main Program *****************/              if (h==(int)(calagedate+12*cpt)) for(j=1; j<=nlstate;j++) 
 /***********************************************/                fprintf(ficrespop," %15.2f",tabpopprev[(int)(agedeb+1)][j][cptcod]);
             }
 int main(int argc, char *argv[])            free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
 {          }
         }
   int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;   
   double agedeb, agefin,hf;    /******/
   double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;  
         for (cpt=1; cpt<=(anpyram1-anpyram);cpt++) { 
   double fret;          fprintf(ficrespop,"\n\n# Forecasting at date %.lf/%.lf/%.lf ",jpyram,mpyram,anpyram+cpt);   
   double **xi,tmp,delta;          for (agedeb=(fage-((int)calagedate %12/12.)); agedeb>=(ageminpar-((int)calagedate %12)/12.); agedeb--){ 
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); 
   double dum; /* Dummy variable */            nhstepm = nhstepm/hstepm; 
   double ***p3mat;            
   int *indx;            p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   char line[MAXLINE], linepar[MAXLINE];            oldm=oldms;savm=savms;
   char path[80],pathc[80],pathcd[80],pathtot[80],model[80];            hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
   int firstobs=1, lastobs=10;            for (h=0; h<=nhstepm; h++){
   int sdeb, sfin; /* Status at beginning and end */              if (h==(int) (calagedate+YEARM*cpt)) {
   int c,  h , cpt,l;                fprintf(ficresf,"\n %3.f ",agedeb+h*hstepm/YEARM*stepm);
   int ju,jl, mi;              } 
   int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;              for(j=1; j<=nlstate+ndeath;j++) {
   int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab;                kk1=0.;kk2=0;
   int mobilav=0,popforecast=0;                for(i=1; i<=nlstate;i++) {              
   int hstepm, nhstepm;                  kk1=kk1+p3mat[i][j][h]*tabpopprev[(int)agedeb+1][i][cptcod];    
   double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;                }
                 if (h==(int)(calagedate+12*cpt)) fprintf(ficresf," %15.2f", kk1); 
   double bage, fage, age, agelim, agebase;              }
   double ftolpl=FTOL;            }
   double **prlim;            free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   double *severity;          }
   double ***param; /* Matrix of parameters */        }
   double  *p;     } 
   double **matcov; /* Matrix of covariance */    }
   double ***delti3; /* Scale */   
   double *delti; /* Scale */    if (mobilav!=0) free_ma3x(mobaverage,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   double ***eij, ***vareij;  
   double **varpl; /* Variances of prevalence limits by age */    if (popforecast==1) {
   double *epj, vepp;      free_ivector(popage,0,AGESUP);
   double kk1, kk2;      free_vector(popeffectif,0,AGESUP);
   double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;      free_vector(popcount,0,AGESUP);
      }
     free_ma3x(tabpop,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
   char *alph[]={"a","a","b","c","d","e"}, str[4];    free_ma3x(tabpopprev,1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
     fclose(ficrespop);
   }
   char z[1]="c", occ;  
 #include <sys/time.h>  /***********************************************/
 #include <time.h>  /**************** Main Program *****************/
   char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];  /***********************************************/
    
   /* long total_usecs;  int main(int argc, char *argv[])
   struct timeval start_time, end_time;  {
    
   gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */    int i,j, k, n=MAXN,iter,m,size,cptcode, cptcod;
   getcwd(pathcd, size);    double agedeb, agefin,hf;
     double ageminpar=1.e20,agemin=1.e20, agemaxpar=-1.e20, agemax=-1.e20;
   printf("\n%s",version);  
   if(argc <=1){    double fret;
     printf("\nEnter the parameter file name: ");    double **xi,tmp,delta;
     scanf("%s",pathtot);  
   }    double dum; /* Dummy variable */
   else{    double ***p3mat;
     strcpy(pathtot,argv[1]);    double ***mobaverage;
   }    int *indx;
   /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/    char line[MAXLINE], linepar[MAXLINE];
   /*cygwin_split_path(pathtot,path,optionfile);    char path[80],pathc[80],pathcd[80],pathtot[80],model[80];
     printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/    int firstobs=1, lastobs=10;
   /* cutv(path,optionfile,pathtot,'\\');*/    int sdeb, sfin; /* Status at beginning and end */
     int c,  h , cpt,l;
   split(pathtot,path,optionfile,optionfilext,optionfilefiname);    int ju,jl, mi;
    printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);    int i1,j1, k1,k2,k3,jk,aa,bb, stepsize, ij;
   chdir(path);    int jnais,jdc,jint4,jint1,jint2,jint3,**outcome,**adl,*tab; 
   replace(pathc,path);    int mobilav=0,popforecast=0;
     int hstepm, nhstepm;
 /*-------- arguments in the command line --------*/    double jprev1, mprev1,anprev1,jprev2, mprev2,anprev2,jpyram, mpyram,anpyram,jpyram1, mpyram1,anpyram1, calagedate;
   
   /* Log file */    double bage, fage, age, agelim, agebase;
   strcat(filelog, optionfilefiname);    double ftolpl=FTOL;
   strcat(filelog,".log");    /* */    double **prlim;
   if((ficlog=fopen(filelog,"w"))==NULL)    {    double *severity;
     printf("Problem with logfile %s\n",filelog);    double ***param; /* Matrix of parameters */
     goto end;    double  *p;
   }    double **matcov; /* Matrix of covariance */
   fprintf(ficlog,"Log filename:%s\n",filelog);    double ***delti3; /* Scale */
   fprintf(ficlog,"\n%s",version);    double *delti; /* Scale */
   fprintf(ficlog,"\nEnter the parameter file name: ");    double ***eij, ***vareij;
   fprintf(ficlog,"pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);    double **varpl; /* Variances of prevalence limits by age */
   fflush(ficlog);    double *epj, vepp;
     double kk1, kk2;
   /* */    double dateprev1, dateprev2,jproj1,mproj1,anproj1,jproj2,mproj2,anproj2;
   strcpy(fileres,"r");    
   strcat(fileres, optionfilefiname);  
   strcat(fileres,".txt");    /* Other files have txt extension */    char *alph[]={"a","a","b","c","d","e"}, str[4];
   
   /*---------arguments file --------*/  
     char z[1]="c", occ;
   if((ficpar=fopen(optionfile,"r"))==NULL)    {  #include <sys/time.h>
     printf("Problem with optionfile %s\n",optionfile);  #include <time.h>
     fprintf(ficlog,"Problem with optionfile %s\n",optionfile);    char stra[80], strb[80], strc[80], strd[80],stre[80],modelsav[80];
     goto end;   
   }    /* long total_usecs;
     struct timeval start_time, end_time;
   strcpy(filereso,"o");    
   strcat(filereso,fileres);    gettimeofday(&start_time, (struct timezone*)0); */ /* at first time */
   if((ficparo=fopen(filereso,"w"))==NULL) {    getcwd(pathcd, size);
     printf("Problem with Output resultfile: %s\n", filereso);  
     fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);    printf("\n%s",version);
     goto end;    if(argc <=1){
   }      printf("\nEnter the parameter file name: ");
       scanf("%s",pathtot);
   /* Reads comments: lines beginning with '#' */    }
   while((c=getc(ficpar))=='#' && c!= EOF){    else{
     ungetc(c,ficpar);      strcpy(pathtot,argv[1]);
     fgets(line, MAXLINE, ficpar);    }
     puts(line);    /*if(getcwd(pathcd, 80)!= NULL)printf ("Error pathcd\n");*/
     fputs(line,ficparo);    /*cygwin_split_path(pathtot,path,optionfile);
   }      printf("pathtot=%s, path=%s, optionfile=%s\n",pathtot,path,optionfile);*/
   ungetc(c,ficpar);    /* cutv(path,optionfile,pathtot,'\\');*/
   
   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);    split(pathtot,path,optionfile,optionfilext,optionfilefiname);
   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);     printf("pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
   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);    chdir(path);
 while((c=getc(ficpar))=='#' && c!= EOF){    replace(pathc,path);
     ungetc(c,ficpar);  
     fgets(line, MAXLINE, ficpar);  /*-------- arguments in the command line --------*/
     puts(line);  
     fputs(line,ficparo);    /* Log file */
   }    strcat(filelog, optionfilefiname);
   ungetc(c,ficpar);    strcat(filelog,".log");    /* */
      if((ficlog=fopen(filelog,"w"))==NULL)    {
          printf("Problem with logfile %s\n",filelog);
   covar=matrix(0,NCOVMAX,1,n);      goto end;
   cptcovn=0;    }
   if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;    fprintf(ficlog,"Log filename:%s\n",filelog);
     fprintf(ficlog,"\n%s",version);
   ncovmodel=2+cptcovn;    fprintf(ficlog,"\nEnter the parameter file name: ");
   nvar=ncovmodel-1; /* Suppressing age as a basic covariate */    fprintf(ficlog,"pathtot=%s, path=%s, optionfile=%s optionfilext=%s optionfilefiname=%s\n",pathtot,path,optionfile,optionfilext,optionfilefiname);
      fflush(ficlog);
   /* Read guess parameters */  
   /* Reads comments: lines beginning with '#' */    /* */
   while((c=getc(ficpar))=='#' && c!= EOF){    strcpy(fileres,"r");
     ungetc(c,ficpar);    strcat(fileres, optionfilefiname);
     fgets(line, MAXLINE, ficpar);    strcat(fileres,".txt");    /* Other files have txt extension */
     puts(line);  
     fputs(line,ficparo);    /*---------arguments file --------*/
   }  
   ungetc(c,ficpar);    if((ficpar=fopen(optionfile,"r"))==NULL)    {
        printf("Problem with optionfile %s\n",optionfile);
   param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);      fprintf(ficlog,"Problem with optionfile %s\n",optionfile);
     for(i=1; i <=nlstate; i++)      goto end;
     for(j=1; j <=nlstate+ndeath-1; j++){    }
       fscanf(ficpar,"%1d%1d",&i1,&j1);  
       fprintf(ficparo,"%1d%1d",i1,j1);    strcpy(filereso,"o");
       if(mle==1)    strcat(filereso,fileres);
         printf("%1d%1d",i,j);    if((ficparo=fopen(filereso,"w"))==NULL) {
       fprintf(ficlog,"%1d%1d",i,j);      printf("Problem with Output resultfile: %s\n", filereso);
       for(k=1; k<=ncovmodel;k++){      fprintf(ficlog,"Problem with Output resultfile: %s\n", filereso);
         fscanf(ficpar," %lf",&param[i][j][k]);      goto end;
         if(mle==1){    }
           printf(" %lf",param[i][j][k]);  
           fprintf(ficlog," %lf",param[i][j][k]);    /* Reads comments: lines beginning with '#' */
         }    while((c=getc(ficpar))=='#' && c!= EOF){
         else      ungetc(c,ficpar);
           fprintf(ficlog," %lf",param[i][j][k]);      fgets(line, MAXLINE, ficpar);
         fprintf(ficparo," %lf",param[i][j][k]);      puts(line);
       }      fputs(line,ficparo);
       fscanf(ficpar,"\n");    }
       if(mle==1)    ungetc(c,ficpar);
         printf("\n");  
       fprintf(ficlog,"\n");    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);
       fprintf(ficparo,"\n");    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){
     npar= (nlstate+ndeath-1)*nlstate*ncovmodel;      ungetc(c,ficpar);
       fgets(line, MAXLINE, ficpar);
   p=param[1][1];      puts(line);
        fputs(line,ficparo);
   /* Reads comments: lines beginning with '#' */    }
   while((c=getc(ficpar))=='#' && c!= EOF){    ungetc(c,ficpar);
     ungetc(c,ficpar);    
     fgets(line, MAXLINE, ficpar);     
     puts(line);    covar=matrix(0,NCOVMAX,1,n); 
     fputs(line,ficparo);    cptcovn=0; 
   }    if (strlen(model)>1) cptcovn=nbocc(model,'+')+1;
   ungetc(c,ficpar);  
     ncovmodel=2+cptcovn;
   delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);    nvar=ncovmodel-1; /* Suppressing age as a basic covariate */
   delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */    
   for(i=1; i <=nlstate; i++){    /* Read guess parameters */
     for(j=1; j <=nlstate+ndeath-1; j++){    /* Reads comments: lines beginning with '#' */
       fscanf(ficpar,"%1d%1d",&i1,&j1);    while((c=getc(ficpar))=='#' && c!= EOF){
       printf("%1d%1d",i,j);      ungetc(c,ficpar);
       fprintf(ficparo,"%1d%1d",i1,j1);      fgets(line, MAXLINE, ficpar);
       for(k=1; k<=ncovmodel;k++){      puts(line);
         fscanf(ficpar,"%le",&delti3[i][j][k]);      fputs(line,ficparo);
         printf(" %le",delti3[i][j][k]);    }
         fprintf(ficparo," %le",delti3[i][j][k]);    ungetc(c,ficpar);
       }    
       fscanf(ficpar,"\n");    param= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
       printf("\n");      for(i=1; i <=nlstate; i++)
       fprintf(ficparo,"\n");      for(j=1; j <=nlstate+ndeath-1; j++){
     }        fscanf(ficpar,"%1d%1d",&i1,&j1);
   }        fprintf(ficparo,"%1d%1d",i1,j1);
   delti=delti3[1][1];        if(mle==1)
            printf("%1d%1d",i,j);
   /* Reads comments: lines beginning with '#' */        fprintf(ficlog,"%1d%1d",i,j);
   while((c=getc(ficpar))=='#' && c!= EOF){        for(k=1; k<=ncovmodel;k++){
     ungetc(c,ficpar);          fscanf(ficpar," %lf",&param[i][j][k]);
     fgets(line, MAXLINE, ficpar);          if(mle==1){
     puts(line);            printf(" %lf",param[i][j][k]);
     fputs(line,ficparo);            fprintf(ficlog," %lf",param[i][j][k]);
   }          }
   ungetc(c,ficpar);          else
              fprintf(ficlog," %lf",param[i][j][k]);
   matcov=matrix(1,npar,1,npar);          fprintf(ficparo," %lf",param[i][j][k]);
   for(i=1; i <=npar; i++){        }
     fscanf(ficpar,"%s",&str);        fscanf(ficpar,"\n");
     if(mle==1)        if(mle==1)
       printf("%s",str);          printf("\n");
     fprintf(ficlog,"%s",str);        fprintf(ficlog,"\n");
     fprintf(ficparo,"%s",str);        fprintf(ficparo,"\n");
     for(j=1; j <=i; j++){      }
       fscanf(ficpar," %le",&matcov[i][j]);    
       if(mle==1){      npar= (nlstate+ndeath-1)*nlstate*ncovmodel;
         printf(" %.5le",matcov[i][j]);  
         fprintf(ficlog," %.5le",matcov[i][j]);    p=param[1][1];
       }    
       else    /* Reads comments: lines beginning with '#' */
         fprintf(ficlog," %.5le",matcov[i][j]);    while((c=getc(ficpar))=='#' && c!= EOF){
       fprintf(ficparo," %.5le",matcov[i][j]);      ungetc(c,ficpar);
     }      fgets(line, MAXLINE, ficpar);
     fscanf(ficpar,"\n");      puts(line);
     if(mle==1)      fputs(line,ficparo);
       printf("\n");    }
     fprintf(ficlog,"\n");    ungetc(c,ficpar);
     fprintf(ficparo,"\n");  
   }    delti3= ma3x(1,nlstate,1,nlstate+ndeath-1,1,ncovmodel);
   for(i=1; i <=npar; i++)    delti=vector(1,npar); /* Scale of each paramater (output from hesscov) */
     for(j=i+1;j<=npar;j++)    for(i=1; i <=nlstate; i++){
       matcov[i][j]=matcov[j][i];      for(j=1; j <=nlstate+ndeath-1; j++){
            fscanf(ficpar,"%1d%1d",&i1,&j1);
   if(mle==1)        printf("%1d%1d",i,j);
     printf("\n");        fprintf(ficparo,"%1d%1d",i1,j1);
   fprintf(ficlog,"\n");        for(k=1; k<=ncovmodel;k++){
           fscanf(ficpar,"%le",&delti3[i][j][k]);
           printf(" %le",delti3[i][j][k]);
     /*-------- Rewriting paramater file ----------*/          fprintf(ficparo," %le",delti3[i][j][k]);
      strcpy(rfileres,"r");    /* "Rparameterfile */        }
      strcat(rfileres,optionfilefiname);    /* Parameter file first name*/        fscanf(ficpar,"\n");
      strcat(rfileres,".");    /* */        printf("\n");
      strcat(rfileres,optionfilext);    /* Other files have txt extension */        fprintf(ficparo,"\n");
     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;    delti=delti3[1][1];
     }    
     fprintf(ficres,"#%s\n",version);    /* Reads comments: lines beginning with '#' */
        while((c=getc(ficpar))=='#' && c!= EOF){
     /*-------- data file ----------*/      ungetc(c,ficpar);
     if((fic=fopen(datafile,"r"))==NULL)    {      fgets(line, MAXLINE, ficpar);
       printf("Problem with datafile: %s\n", datafile);goto end;      puts(line);
       fprintf(ficlog,"Problem with datafile: %s\n", datafile);goto end;      fputs(line,ficparo);
     }    }
     ungetc(c,ficpar);
     n= lastobs;    
     severity = vector(1,maxwav);    matcov=matrix(1,npar,1,npar);
     outcome=imatrix(1,maxwav+1,1,n);    for(i=1; i <=npar; i++){
     num=ivector(1,n);      fscanf(ficpar,"%s",&str);
     moisnais=vector(1,n);      if(mle==1)
     annais=vector(1,n);        printf("%s",str);
     moisdc=vector(1,n);      fprintf(ficlog,"%s",str);
     andc=vector(1,n);      fprintf(ficparo,"%s",str);
     agedc=vector(1,n);      for(j=1; j <=i; j++){
     cod=ivector(1,n);        fscanf(ficpar," %le",&matcov[i][j]);
     weight=vector(1,n);        if(mle==1){
     for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */          printf(" %.5le",matcov[i][j]);
     mint=matrix(1,maxwav,1,n);          fprintf(ficlog," %.5le",matcov[i][j]);
     anint=matrix(1,maxwav,1,n);        }
     s=imatrix(1,maxwav+1,1,n);        else
     adl=imatrix(1,maxwav+1,1,n);              fprintf(ficlog," %.5le",matcov[i][j]);
     tab=ivector(1,NCOVMAX);        fprintf(ficparo," %.5le",matcov[i][j]);
     ncodemax=ivector(1,8);      }
       fscanf(ficpar,"\n");
     i=1;      if(mle==1)
     while (fgets(line, MAXLINE, fic) != NULL)    {        printf("\n");
       if ((i >= firstobs) && (i <=lastobs)) {      fprintf(ficlog,"\n");
              fprintf(ficparo,"\n");
         for (j=maxwav;j>=1;j--){    }
           cutv(stra, strb,line,' '); s[j][i]=atoi(strb);    for(i=1; i <=npar; i++)
           strcpy(line,stra);      for(j=i+1;j<=npar;j++)
           cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);        matcov[i][j]=matcov[j][i];
           cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);     
         }    if(mle==1)
              printf("\n");
         cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);    fprintf(ficlog,"\n");
         cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);  
   
         cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);      /*-------- Rewriting paramater file ----------*/
         cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);       strcpy(rfileres,"r");    /* "Rparameterfile */
        strcat(rfileres,optionfilefiname);    /* Parameter file first name*/
         cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);       strcat(rfileres,".");    /* */
         for (j=ncovcol;j>=1;j--){       strcat(rfileres,optionfilext);    /* Other files have txt extension */
           cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);      if((ficres =fopen(rfileres,"w"))==NULL) {
         }        printf("Problem writing new parameter file: %s\n", fileres);goto end;
         num[i]=atol(stra);        fprintf(ficlog,"Problem writing new parameter file: %s\n", fileres);goto end;
              }
         /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){      fprintf(ficres,"#%s\n",version);
           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;}*/      
       /*-------- data file ----------*/
         i=i+1;      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;
     /* printf("ii=%d", ij);      }
        scanf("%d",i);*/  
   imx=i-1; /* Number of individuals */      n= lastobs;
       severity = vector(1,maxwav);
   /* for (i=1; i<=imx; i++){      outcome=imatrix(1,maxwav+1,1,n);
     if ((s[1][i]==3) && (s[2][i]==2)) s[2][i]=3;      num=ivector(1,n);
     if ((s[2][i]==3) && (s[3][i]==2)) s[3][i]=3;      moisnais=vector(1,n);
     if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;      annais=vector(1,n);
     }*/      moisdc=vector(1,n);
    /*  for (i=1; i<=imx; i++){      andc=vector(1,n);
      if (s[4][i]==9)  s[4][i]=-1;      agedc=vector(1,n);
      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]));}*/      cod=ivector(1,n);
        weight=vector(1,n);
        for(i=1;i<=n;i++) weight[i]=1.0; /* Equal weights, 1 by default */
   /* Calculation of the number of parameter from char model*/      mint=matrix(1,maxwav,1,n);
   Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */      anint=matrix(1,maxwav,1,n);
   Tprod=ivector(1,15);      s=imatrix(1,maxwav+1,1,n);
   Tvaraff=ivector(1,15);      adl=imatrix(1,maxwav+1,1,n);    
   Tvard=imatrix(1,15,1,2);      tab=ivector(1,NCOVMAX);
   Tage=ivector(1,15);            ncodemax=ivector(1,8);
      
   if (strlen(model) >1){      i=1;
     j=0, j1=0, k1=1, k2=1;      while (fgets(line, MAXLINE, fic) != NULL)    {
     j=nbocc(model,'+');        if ((i >= firstobs) && (i <=lastobs)) {
     j1=nbocc(model,'*');          
     cptcovn=j+1;          for (j=maxwav;j>=1;j--){
     cptcovprod=j1;            cutv(stra, strb,line,' '); s[j][i]=atoi(strb); 
                strcpy(line,stra);
     strcpy(modelsav,model);            cutv(stra, strb,line,'/'); anint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
     if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){            cutv(stra, strb,line,' '); mint[j][i]=(double)(atoi(strb)); strcpy(line,stra);
       printf("Error. Non available option model=%s ",model);          }
       fprintf(ficlog,"Error. Non available option model=%s ",model);          
       goto end;          cutv(stra, strb,line,'/'); andc[i]=(double)(atoi(strb)); strcpy(line,stra);
     }          cutv(stra, strb,line,' '); moisdc[i]=(double)(atoi(strb)); strcpy(line,stra);
      
     for(i=(j+1); i>=1;i--){          cutv(stra, strb,line,'/'); annais[i]=(double)(atoi(strb)); strcpy(line,stra);
       cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */          cutv(stra, strb,line,' '); moisnais[i]=(double)(atoi(strb)); strcpy(line,stra);
       if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyze it */  
       /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/          cutv(stra, strb,line,' '); weight[i]=(double)(atoi(strb)); strcpy(line,stra);
       /*scanf("%d",i);*/          for (j=ncovcol;j>=1;j--){
       if (strchr(strb,'*')) {  /* Model includes a product */            cutv(stra, strb,line,' '); covar[j][i]=(double)(atoi(strb)); strcpy(line,stra);
         cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/          } 
         if (strcmp(strc,"age")==0) { /* Vn*age */          num[i]=atol(stra);
           cptcovprod--;          
           cutv(strb,stre,strd,'V');          /*if((s[2][i]==2) && (s[3][i]==-1)&&(s[4][i]==9)){
           Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/            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;}*/
           cptcovage++;  
             Tage[cptcovage]=i;          i=i+1;
             /*printf("stre=%s ", stre);*/        }
         }      } 
         else if (strcmp(strd,"age")==0) { /* or age*Vn */      /* printf("ii=%d", ij);
           cptcovprod--;         scanf("%d",i);*/
           cutv(strb,stre,strc,'V');    imx=i-1; /* Number of individuals */
           Tvar[i]=atoi(stre);  
           cptcovage++;    /* for (i=1; i<=imx; i++){
           Tage[cptcovage]=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;
         else {  /* Age is not in the model */      if ((s[3][i]==3) && (s[4][i]==2)) s[4][i]=3;
           cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/      }*/
           Tvar[i]=ncovcol+k1;     /*  for (i=1; i<=imx; i++){
           cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */       if (s[4][i]==9)  s[4][i]=-1; 
           Tprod[k1]=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]));}*/
           Tvard[k1][1]=atoi(strc); /* m*/    
           Tvard[k1][2]=atoi(stre); /* n */   
           Tvar[cptcovn+k2]=Tvard[k1][1];    /* Calculation of the number of parameter from char model*/
           Tvar[cptcovn+k2+1]=Tvard[k1][2];    Tvar=ivector(1,15); /* stores the number n of the covariates in Vm+Vn at 1 and m at 2 */
           for (k=1; k<=lastobs;k++)    Tprod=ivector(1,15); 
             covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];    Tvaraff=ivector(1,15); 
           k1++;    Tvard=imatrix(1,15,1,2);
           k2=k2+2;    Tage=ivector(1,15);      
         }     
       }    if (strlen(model) >1){
       else { /* no more sum */      j=0, j1=0, k1=1, k2=1;
         /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/      j=nbocc(model,'+');
        /*  scanf("%d",i);*/      j1=nbocc(model,'*');
       cutv(strd,strc,strb,'V');      cptcovn=j+1;
       Tvar[i]=atoi(strc);      cptcovprod=j1;
       }      
       strcpy(modelsav,stra);        strcpy(modelsav,model); 
       /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);      if ((strcmp(model,"age")==0) || (strcmp(model,"age*age")==0)){
         scanf("%d",i);*/        printf("Error. Non available option model=%s ",model);
     } /* end of loop + */        fprintf(ficlog,"Error. Non available option model=%s ",model);
   } /* end model */        goto end;
        }
   /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);      
   printf("cptcovprod=%d ", cptcovprod);      for(i=(j+1); i>=1;i--){
   fprintf(ficlog,"cptcovprod=%d ", cptcovprod);        cutv(stra,strb,modelsav,'+'); /* keeps in strb after the last + */ 
   scanf("%d ",i);*/        if (nbocc(modelsav,'+')==0) strcpy(strb,modelsav); /* and analyze it */
     fclose(fic);        /*      printf("i=%d a=%s b=%s sav=%s\n",i, stra,strb,modelsav);*/
         /*scanf("%d",i);*/
     /*  if(mle==1){*/        if (strchr(strb,'*')) {  /* Model includes a product */
     if (weightopt != 1) { /* Maximisation without weights*/          cutv(strd,strc,strb,'*'); /* strd*strc  Vm*Vn (if not *age)*/
       for(i=1;i<=n;i++) weight[i]=1.0;          if (strcmp(strc,"age")==0) { /* Vn*age */
     }            cptcovprod--;
     /*-calculation of age at interview from date of interview and age at death -*/            cutv(strb,stre,strd,'V');
     agev=matrix(1,maxwav,1,imx);            Tvar[i]=atoi(stre); /* computes n in Vn and stores in Tvar*/
             cptcovage++;
     for (i=1; i<=imx; i++) {              Tage[cptcovage]=i;
       for(m=2; (m<= maxwav); m++) {              /*printf("stre=%s ", stre);*/
        if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){          }
          anint[m][i]=9999;          else if (strcmp(strd,"age")==0) { /* or age*Vn */
          s[m][i]=-1;            cptcovprod--;
        }            cutv(strb,stre,strc,'V');
      if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;            Tvar[i]=atoi(stre);
       }            cptcovage++;
     }            Tage[cptcovage]=i;
           }
     for (i=1; i<=imx; i++)  {          else {  /* Age is not in the model */
       agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);            cutv(strb,stre,strc,'V'); /* strc= Vn, stre is n*/
       for(m=1; (m<= maxwav); m++){            Tvar[i]=ncovcol+k1;
         if(s[m][i] >0){            cutv(strb,strc,strd,'V'); /* strd was Vm, strc is m */
           if (s[m][i] >= nlstate+1) {            Tprod[k1]=i;
             if(agedc[i]>0)            Tvard[k1][1]=atoi(strc); /* m*/
               if(moisdc[i]!=99 && andc[i]!=9999)            Tvard[k1][2]=atoi(stre); /* n */
                 agev[m][i]=agedc[i];            Tvar[cptcovn+k2]=Tvard[k1][1];
             /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/            Tvar[cptcovn+k2+1]=Tvard[k1][2]; 
            else {            for (k=1; k<=lastobs;k++) 
               if (andc[i]!=9999){              covar[ncovcol+k1][k]=covar[atoi(stre)][k]*covar[atoi(strc)][k];
               printf("Warning negative age at death: %d line:%d\n",num[i],i);            k1++;
               fprintf(ficlog,"Warning negative age at death: %d line:%d\n",num[i],i);            k2=k2+2;
               agev[m][i]=-1;          }
               }        }
             }        else { /* no more sum */
           }          /*printf("d=%s c=%s b=%s\n", strd,strc,strb);*/
           else if(s[m][i] !=9){ /* Should no more exist */         /*  scanf("%d",i);*/
             agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);        cutv(strd,strc,strb,'V');
             if(mint[m][i]==99 || anint[m][i]==9999)        Tvar[i]=atoi(strc);
               agev[m][i]=1;        }
             else if(agev[m][i] <agemin){        strcpy(modelsav,stra);  
               agemin=agev[m][i];        /*printf("a=%s b=%s sav=%s\n", stra,strb,modelsav);
               /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/          scanf("%d",i);*/
             }      } /* end of loop + */
             else if(agev[m][i] >agemax){    } /* end model */
               agemax=agev[m][i];    
              /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/    /* printf("tvar1=%d tvar2=%d tvar3=%d cptcovage=%d Tage=%d",Tvar[1],Tvar[2],Tvar[3],cptcovage,Tage[1]);
             }    printf("cptcovprod=%d ", cptcovprod);
             /*agev[m][i]=anint[m][i]-annais[i];*/    fprintf(ficlog,"cptcovprod=%d ", cptcovprod);
             /*   agev[m][i] = age[i]+2*m;*/    scanf("%d ",i);*/
           }      fclose(fic);
           else { /* =9 */  
             agev[m][i]=1;      /*  if(mle==1){*/
             s[m][i]=-1;      if (weightopt != 1) { /* Maximisation without weights*/
           }        for(i=1;i<=n;i++) weight[i]=1.0;
         }      }
         else /*= 0 Unknown */      /*-calculation of age at interview from date of interview and age at death -*/
           agev[m][i]=1;      agev=matrix(1,maxwav,1,imx);
       }  
          for (i=1; i<=imx; i++) {
     }        for(m=2; (m<= maxwav); m++) {
     for (i=1; i<=imx; i++)  {         if ((mint[m][i]== 99) && (s[m][i] <= nlstate)){
       for(m=1; (m<= maxwav); m++){           anint[m][i]=9999;
         if (s[m][i] > (nlstate+ndeath)) {           s[m][i]=-1;
           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);         if(moisdc[i]==99 && andc[i]==9999 & s[m][i]>nlstate) s[m][i]=-1;
           goto end;        }
         }      }
       }  
     }      for (i=1; i<=imx; i++)  {
         agedc[i]=(moisdc[i]/12.+andc[i])-(moisnais[i]/12.+annais[i]);
 printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);        for(m=1; (m<= maxwav); m++){
  fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);          if(s[m][i] >0){
             if (s[m][i] >= nlstate+1) {
     free_vector(severity,1,maxwav);              if(agedc[i]>0)
     free_imatrix(outcome,1,maxwav+1,1,n);                if(moisdc[i]!=99 && andc[i]!=9999)
     free_vector(moisnais,1,n);                  agev[m][i]=agedc[i];
     free_vector(annais,1,n);              /*if(moisdc[i]==99 && andc[i]==9999) s[m][i]=-1;*/
     /* free_matrix(mint,1,maxwav,1,n);             else {
        free_matrix(anint,1,maxwav,1,n);*/                if (andc[i]!=9999){
     free_vector(moisdc,1,n);                printf("Warning negative age at death: %d line:%d\n",num[i],i);
     free_vector(andc,1,n);                fprintf(ficlog,"Warning negative age at death: %d line:%d\n",num[i],i);
                 agev[m][i]=-1;
                    }
     wav=ivector(1,imx);              }
     dh=imatrix(1,lastpass-firstpass+1,1,imx);            }
     mw=imatrix(1,lastpass-firstpass+1,1,imx);            else if(s[m][i] !=9){ /* Should no more exist */
                  agev[m][i]=(mint[m][i]/12.+1./24.+anint[m][i])-(moisnais[i]/12.+1./24.+annais[i]);
     /* Concatenates waves */              if(mint[m][i]==99 || anint[m][i]==9999)
       concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);                agev[m][i]=1;
               else if(agev[m][i] <agemin){ 
                 agemin=agev[m][i];
       Tcode=ivector(1,100);                /*printf(" Min anint[%d][%d]=%.2f annais[%d]=%.2f, agemin=%.2f\n",m,i,anint[m][i], i,annais[i], agemin);*/
       nbcode=imatrix(0,NCOVMAX,0,NCOVMAX);              }
       ncodemax[1]=1;              else if(agev[m][i] >agemax){
       if (cptcovn > 0) tricode(Tvar,nbcode,imx);                agemax=agev[m][i];
                     /* printf(" anint[%d][%d]=%.0f annais[%d]=%.0f, agemax=%.0f\n",m,i,anint[m][i], i,annais[i], agemax);*/
    codtab=imatrix(1,100,1,10);              }
    h=0;              /*agev[m][i]=anint[m][i]-annais[i];*/
    m=pow(2,cptcoveff);              /*   agev[m][i] = age[i]+2*m;*/
              }
    for(k=1;k<=cptcoveff; k++){            else { /* =9 */
      for(i=1; i <=(m/pow(2,k));i++){              agev[m][i]=1;
        for(j=1; j <= ncodemax[k]; j++){              s[m][i]=-1;
          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;          else /*= 0 Unknown */
            /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/            agev[m][i]=1;
          }        }
        }      
      }      }
    }      for (i=1; i<=imx; i++)  {
    /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]);        for(m=1; (m<= maxwav); m++){
       codtab[1][2]=1;codtab[2][2]=2; */          if (s[m][i] > (nlstate+ndeath)) {
    /* for(i=1; i <=m ;i++){            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);   
       for(k=1; k <=cptcovn; k++){            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);   
       printf("i=%d k=%d %d %d ",i,k,codtab[i][k], cptcoveff);            goto end;
       }          }
       printf("\n");        }
       }      }
       scanf("%d",i);*/  
      printf("Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax);
    /* Calculates basic frequencies. Computes observed prevalence at single age   fprintf(ficlog,"Total number of individuals= %d, Agemin = %.2f, Agemax= %.2f\n\n", imx, agemin, agemax); 
        and prints on file fileres'p'. */  
       free_vector(severity,1,maxwav);
          free_imatrix(outcome,1,maxwav+1,1,n);
          free_vector(moisnais,1,n);
     pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      free_vector(annais,1,n);
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      /* free_matrix(mint,1,maxwav,1,n);
     newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */         free_matrix(anint,1,maxwav,1,n);*/
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */      free_vector(moisdc,1,n);
     oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */      free_vector(andc,1,n);
        
     /* 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] */      wav=ivector(1,imx);
     p=param[1][1]; /* *(*(*(param +1)+1)+0) */      dh=imatrix(1,lastpass-firstpass+1,1,imx);
       mw=imatrix(1,lastpass-firstpass+1,1,imx);
     if(mle==1){     
     mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);      /* Concatenates waves */
     }        concatwav(wav, dh, mw, s, agedc, agev,  firstpass, lastpass, imx, nlstate, stepm);
      
     /*--------- 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);        Tcode=ivector(1,100);
          nbcode=imatrix(0,NCOVMAX,0,NCOVMAX); 
         ncodemax[1]=1;
    jk=1;        if (cptcovn > 0) tricode(Tvar,nbcode,imx);
    fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");        
    printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");     codtab=imatrix(1,100,1,10);
    fprintf(ficlog,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");     h=0;
    for(i=1,jk=1; i <=nlstate; i++){     m=pow(2,cptcoveff);
      for(k=1; k <=(nlstate+ndeath); k++){   
        if (k != i)     for(k=1;k<=cptcoveff; k++){
          {       for(i=1; i <=(m/pow(2,k));i++){
            printf("%d%d ",i,k);         for(j=1; j <= ncodemax[k]; j++){
            fprintf(ficlog,"%d%d ",i,k);           for(cpt=1; cpt <=(m/pow(2,cptcoveff+1-k)); cpt++){
            fprintf(ficres,"%1d%1d ",i,k);             h++;
            for(j=1; j <=ncovmodel; j++){             if (h>m) h=1;codtab[h][k]=j;codtab[h][Tvar[k]]=j;
              printf("%f ",p[jk]);             /*  printf("h=%d k=%d j=%d codtab[h][k]=%d tvar[k]=%d \n",h, k,j,codtab[h][k],Tvar[k]);*/
              fprintf(ficlog,"%f ",p[jk]);           } 
              fprintf(ficres,"%f ",p[jk]);         }
              jk++;       }
            }     } 
            printf("\n");     /* printf("codtab[1][2]=%d codtab[2][2]=%d",codtab[1][2],codtab[2][2]); 
            fprintf(ficlog,"\n");        codtab[1][2]=1;codtab[2][2]=2; */
            fprintf(ficres,"\n");     /* 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);
    }        }
    if(mle==1){        printf("\n");
      /* Computing hessian and covariance matrix */        }
      ftolhess=ftol; /* Usually correct */        scanf("%d",i);*/
      hesscov(matcov, p, npar, delti, ftolhess, func);      
    }     /* Calculates basic frequencies. Computes observed prevalence at single age
    fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");         and prints on file fileres'p'. */
    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++){      pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
        if (j!=i) {      oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
          fprintf(ficres,"%1d%1d",i,j);      newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
          printf("%1d%1d",i,j);      savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
          fprintf(ficlog,"%1d%1d",i,j);      oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
          for(k=1; k<=ncovmodel;k++){       
            printf(" %.5e",delti[jk]);      /* For Powell, parameters are in a vector p[] starting at p[1]
            fprintf(ficlog," %.5e",delti[jk]);         so we point p on param[1][1] so that p[1] maps on param[1][1][1] */
            fprintf(ficres," %.5e",delti[jk]);      p=param[1][1]; /* *(*(*(param +1)+1)+0) */
            jk++;  
          }      if(mle==1){
          printf("\n");      mlikeli(ficres,p, npar, ncovmodel, nlstate, ftol, func);
          fprintf(ficlog,"\n");      }
          fprintf(ficres,"\n");      
        }      /*--------- 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);
    }    
      
    k=1;     jk=1;
    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");     fprintf(ficres,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
    if(mle==1)     printf("# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\n");
      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,"# Parameters nlstate*nlstate*ncov a12*1 + b12 * age + ...\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,jk=1; i <=nlstate; i++){
    for(i=1;i<=npar;i++){       for(k=1; k <=(nlstate+ndeath); k++){
      /*  if (k>nlstate) k=1;         if (k != i) 
          i1=(i-1)/(ncovmodel*nlstate)+1;           {
          fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);             printf("%d%d ",i,k);
          printf("%s%d%d",alph[k],i1,tab[i]);*/             fprintf(ficlog,"%d%d ",i,k);
      fprintf(ficres,"%3d",i);             fprintf(ficres,"%1d%1d ",i,k);
      if(mle==1)             for(j=1; j <=ncovmodel; j++){
        printf("%3d",i);               printf("%f ",p[jk]);
      fprintf(ficlog,"%3d",i);               fprintf(ficlog,"%f ",p[jk]);
      for(j=1; j<=i;j++){               fprintf(ficres,"%f ",p[jk]);
        fprintf(ficres," %.5e",matcov[i][j]);               jk++; 
        if(mle==1)             }
          printf(" %.5e",matcov[i][j]);             printf("\n");
        fprintf(ficlog," %.5e",matcov[i][j]);             fprintf(ficlog,"\n");
      }             fprintf(ficres,"\n");
      fprintf(ficres,"\n");           }
      if(mle==1)       }
        printf("\n");     }
      fprintf(ficlog,"\n");     if(mle==1){
      k++;       /* Computing hessian and covariance matrix */
    }       ftolhess=ftol; /* Usually correct */
           hesscov(matcov, p, npar, delti, ftolhess, func);
    while((c=getc(ficpar))=='#' && c!= EOF){     }
      ungetc(c,ficpar);     fprintf(ficres,"# Scales (for hessian or gradient estimation)\n");
      fgets(line, MAXLINE, ficpar);     printf("# Scales (for hessian or gradient estimation)\n");
      puts(line);     fprintf(ficlog,"# Scales (for hessian or gradient estimation)\n");
      fputs(line,ficparo);     for(i=1,jk=1; i <=nlstate; i++){
    }       for(j=1; j <=nlstate+ndeath; j++){
    ungetc(c,ficpar);         if (j!=i) {
    estepm=0;           fprintf(ficres,"%1d%1d",i,j);
    fscanf(ficpar,"agemin=%lf agemax=%lf bage=%lf fage=%lf estepm=%d\n",&ageminpar,&agemaxpar, &bage, &fage, &estepm);           printf("%1d%1d",i,j);
    if (estepm==0 || estepm < stepm) estepm=stepm;           fprintf(ficlog,"%1d%1d",i,j);
    if (fage <= 2) {           for(k=1; k<=ncovmodel;k++){
      bage = ageminpar;             printf(" %.5e",delti[jk]);
      fage = agemaxpar;             fprintf(ficlog," %.5e",delti[jk]);
    }             fprintf(ficres," %.5e",delti[jk]);
                 jk++;
    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);           printf("\n");
    fprintf(ficparo,"agemin=%.0f agemax=%.0f bage=%.0f fage=%.0f estepm=%d\n",ageminpar,agemaxpar,bage,fage, estepm);           fprintf(ficlog,"\n");
               fprintf(ficres,"\n");
    while((c=getc(ficpar))=='#' && c!= EOF){         }
      ungetc(c,ficpar);       }
      fgets(line, MAXLINE, ficpar);     }
      puts(line);     
      fputs(line,ficparo);     k=1;
    }     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");
    ungetc(c,ficpar);     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");
    fscanf(ficpar,"begin-prev-date=%lf/%lf/%lf end-prev-date=%lf/%lf/%lf\n",&jprev1, &mprev1,&anprev1,&jprev2, &mprev2,&anprev2);     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");
    fprintf(ficparo,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);     for(i=1;i<=npar;i++){
    fprintf(ficres,"begin-prev-date=%.lf/%.lf/%.lf end-prev-date=%.lf/%.lf/%.lf\n",jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);       /*  if (k>nlstate) k=1;
               i1=(i-1)/(ncovmodel*nlstate)+1; 
    while((c=getc(ficpar))=='#' && c!= EOF){           fprintf(ficres,"%s%d%d",alph[k],i1,tab[i]);
      ungetc(c,ficpar);           printf("%s%d%d",alph[k],i1,tab[i]);*/
      fgets(line, MAXLINE, ficpar);       fprintf(ficres,"%3d",i);
      puts(line);       if(mle==1)
      fputs(line,ficparo);         printf("%3d",i);
    }       fprintf(ficlog,"%3d",i);
    ungetc(c,ficpar);       for(j=1; j<=i;j++){
           fprintf(ficres," %.5e",matcov[i][j]);
          if(mle==1)
    dateprev1=anprev1+mprev1/12.+jprev1/365.;           printf(" %.5e",matcov[i][j]);
    dateprev2=anprev2+mprev2/12.+jprev2/365.;         fprintf(ficlog," %.5e",matcov[i][j]);
        }
   fscanf(ficpar,"pop_based=%d\n",&popbased);       fprintf(ficres,"\n");
   fprintf(ficparo,"pop_based=%d\n",popbased);         if(mle==1)
   fprintf(ficres,"pop_based=%d\n",popbased);           printf("\n");
         fprintf(ficlog,"\n");
   while((c=getc(ficpar))=='#' && c!= EOF){       k++;
     ungetc(c,ficpar);     }
     fgets(line, MAXLINE, ficpar);     
     puts(line);     while((c=getc(ficpar))=='#' && c!= EOF){
     fputs(line,ficparo);       ungetc(c,ficpar);
   }       fgets(line, MAXLINE, ficpar);
   ungetc(c,ficpar);       puts(line);
        fputs(line,ficparo);
   fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf mov_average=%d\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2,&mobilav);     }
 fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);     ungetc(c,ficpar);
 fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf mov_average=%d\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2,mobilav);     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;
 while((c=getc(ficpar))=='#' && c!= EOF){     if (fage <= 2) {
     ungetc(c,ficpar);       bage = ageminpar;
     fgets(line, MAXLINE, ficpar);       fage = agemaxpar;
     puts(line);     }
     fputs(line,ficparo);     
   }     fprintf(ficres,"# agemin agemax for life expectancy, bage fage (if mle==0 ie no data nor Max likelihood).\n");
   ungetc(c,ficpar);     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);
   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);     while((c=getc(ficpar))=='#' && c!= EOF){
   fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);       ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
  freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);       puts(line);
        fputs(line,ficparo);
 /*------------ gnuplot -------------*/     }
   strcpy(optionfilegnuplot,optionfilefiname);     ungetc(c,ficpar);
   strcat(optionfilegnuplot,".gp");    
   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {     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);
     printf("Problem with file %s",optionfilegnuplot);     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);
   fclose(ficgp);     
  printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);     while((c=getc(ficpar))=='#' && c!= EOF){
 /*--------- index.htm --------*/       ungetc(c,ficpar);
        fgets(line, MAXLINE, ficpar);
   strcpy(optionfilehtm,optionfile);       puts(line);
   strcat(optionfilehtm,".htm");       fputs(line,ficparo);
   if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {     }
     printf("Problem with %s \n",optionfilehtm), exit(0);     ungetc(c,ficpar);
   }   
   
   fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n     dateprev1=anprev1+mprev1/12.+jprev1/365.;
 Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n     dateprev2=anprev2+mprev2/12.+jprev2/365.;
 \n  
 Total number of observations=%d <br>\n    fscanf(ficpar,"pop_based=%d\n",&popbased);
 Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n    fprintf(ficparo,"pop_based=%d\n",popbased);   
 <hr  size=\"2\" color=\"#EC5E5E\">    fprintf(ficres,"pop_based=%d\n",popbased);   
  <ul><li><h4>Parameter files</h4>\n    
  - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n    while((c=getc(ficpar))=='#' && c!= EOF){
  - Log file of the run: <a href=\"%s\">%s</a><br>\n      ungetc(c,ficpar);
  - 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);      fgets(line, MAXLINE, ficpar);
   fclose(fichtm);      puts(line);
       fputs(line,ficparo);
  printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);    }
      ungetc(c,ficpar);
 /*------------ free_vector  -------------*/  
  chdir(path);    fscanf(ficpar,"starting-proj-date=%lf/%lf/%lf final-proj-date=%lf/%lf/%lf\n",&jproj1,&mproj1,&anproj1,&jproj2,&mproj2,&anproj2);
    fprintf(ficparo,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);
  free_ivector(wav,1,imx);  fprintf(ficres,"starting-proj-date=%.lf/%.lf/%.lf final-proj-date=%.lf/%.lf/%.lf\n",jproj1,mproj1,anproj1,jproj2,mproj2,anproj2);
  free_imatrix(dh,1,lastpass-firstpass+1,1,imx);  
  free_imatrix(mw,1,lastpass-firstpass+1,1,imx);    
  free_ivector(num,1,n);  while((c=getc(ficpar))=='#' && c!= EOF){
  free_vector(agedc,1,n);      ungetc(c,ficpar);
  /*free_matrix(covar,1,NCOVMAX,1,n);*/      fgets(line, MAXLINE, ficpar);
  fclose(ficparo);      puts(line);
  fclose(ficres);      fputs(line,ficparo);
     }
     ungetc(c,ficpar);
   /*--------------- Prevalence limit --------------*/  
      fscanf(ficpar,"popforecast=%d popfile=%s popfiledate=%lf/%lf/%lf last-popfiledate=%lf/%lf/%lf\n",&popforecast,popfile,&jpyram,&mpyram,&anpyram,&jpyram1,&mpyram1,&anpyram1);
   strcpy(filerespl,"pl");    fprintf(ficparo,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);
   strcat(filerespl,fileres);    fprintf(ficres,"popforecast=%d popfile=%s popfiledate=%.lf/%.lf/%.lf last-popfiledate=%.lf/%.lf/%.lf\n",popforecast,popfile,jpyram,mpyram,anpyram,jpyram1,mpyram1,anpyram1);
   if((ficrespl=fopen(filerespl,"w"))==NULL) {  
     printf("Problem with Prev limit resultfile: %s\n", filerespl);goto end;   freqsummary(fileres, agemin, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2,jprev1, mprev1,anprev1,jprev2, mprev2,anprev2);
     fprintf(ficlog,"Problem with Prev limit resultfile: %s\n", filerespl);goto end;  /*------------ gnuplot -------------*/
   }   strcpy(optionfilegnuplot,optionfilefiname);
   printf("Computing prevalence limit: result on file '%s' \n", filerespl);   strcat(optionfilegnuplot,".gp");
   fprintf(ficlog,"Computing prevalence limit: result on file '%s' \n", filerespl);   if((ficgp=fopen(optionfilegnuplot,"w"))==NULL) {
   fprintf(ficrespl,"#Prevalence limit\n");     printf("Problem with file %s",optionfilegnuplot);
   fprintf(ficrespl,"#Age ");   }
   for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);   else{
   fprintf(ficrespl,"\n");     fprintf(ficgp,"\n# %s\n", version); 
       fprintf(ficgp,"# %s\n", optionfilegnuplot); 
   prlim=matrix(1,nlstate,1,nlstate);     fprintf(ficgp,"set missing 'NaNq'\n");
   pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  }
   oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */   fclose(ficgp);
   newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */   printinggnuplot(fileres, ageminpar,agemaxpar,fage, pathc,p);
   savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */  /*--------- index.htm --------*/
   oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */  
   k=0;    strcpy(optionfilehtm,optionfile);
   agebase=ageminpar;    strcat(optionfilehtm,".htm");
   agelim=agemaxpar;    if((fichtm=fopen(optionfilehtm,"w"))==NULL)    {
   ftolpl=1.e-10;      printf("Problem with %s \n",optionfilehtm), exit(0);
   i1=cptcoveff;    }
   if (cptcovn < 1){i1=1;}  
     fprintf(fichtm,"<body> <font size=\"2\">%s </font> <hr size=\"2\" color=\"#EC5E5E\"> \n
   for(cptcov=1;cptcov<=i1;cptcov++){  Title=%s <br>Datafile=%s Firstpass=%d Lastpass=%d Stepm=%d Weight=%d Model=%s<br>\n
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){  \n
         k=k+1;  Total number of observations=%d <br>\n
         /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/  Interval (in months) between two waves: Min=%d Max=%d Mean=%.2lf<br>\n
         fprintf(ficrespl,"\n#******");  <hr  size=\"2\" color=\"#EC5E5E\">
         printf("\n#******");   <ul><li><h4>Parameter files</h4>\n
         fprintf(ficlog,"\n#******");   - Copy of the parameter file: <a href=\"o%s\">o%s</a><br>\n
         for(j=1;j<=cptcoveff;j++) {   - Log file of the run: <a href=\"%s\">%s</a><br>\n
           fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);   - 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);
           printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    fclose(fichtm);
           fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
         }   printinghtml(fileres,title,datafile, firstpass, lastpass, stepm, weightopt,model,imx,jmin,jmax,jmean,rfileres,popforecast,estepm,jprev1,mprev1,anprev1,jprev2,mprev2,anprev2);
         fprintf(ficrespl,"******\n");   
         printf("******\n");  /*------------ free_vector  -------------*/
         fprintf(ficlog,"******\n");   chdir(path);
           
         for (age=agebase; age<=agelim; age++){   free_ivector(wav,1,imx);
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);   free_imatrix(dh,1,lastpass-firstpass+1,1,imx);
           fprintf(ficrespl,"%.0f",age );   free_imatrix(mw,1,lastpass-firstpass+1,1,imx);   
           for(i=1; i<=nlstate;i++)   free_ivector(num,1,n);
           fprintf(ficrespl," %.5f", prlim[i][i]);   free_vector(agedc,1,n);
           fprintf(ficrespl,"\n");   /*free_matrix(covar,1,NCOVMAX,1,n);*/
         }   fclose(ficparo);
       }   fclose(ficres);
     }  
   fclose(ficrespl);  
     /*--------------- Prevalence limit  (stable prevalence) --------------*/
   /*------------- h Pij x at various ages ------------*/    
      strcpy(filerespl,"pl");
   strcpy(filerespij,"pij");  strcat(filerespij,fileres);    strcat(filerespl,fileres);
   if((ficrespij=fopen(filerespij,"w"))==NULL) {    if((ficrespl=fopen(filerespl,"w"))==NULL) {
     printf("Problem with Pij resultfile: %s\n", filerespij);goto end;      printf("Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
     fprintf(ficlog,"Problem with Pij resultfile: %s\n", filerespij);goto end;      fprintf(ficlog,"Problem with stable prevalence resultfile: %s\n", filerespl);goto end;
   }    }
   printf("Computing pij: result on file '%s' \n", filerespij);    printf("Computing stable prevalence: result on file '%s' \n", filerespl);
   fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);    fprintf(ficlog,"Computing stable prevalence: result on file '%s' \n", filerespl);
      fprintf(ficrespl,"#Stable prevalence \n");
   stepsize=(int) (stepm+YEARM-1)/YEARM;    fprintf(ficrespl,"#Age ");
   /*if (stepm<=24) stepsize=2;*/    for(i=1; i<=nlstate;i++) fprintf(ficrespl,"%d-%d ",i,i);
     fprintf(ficrespl,"\n");
   agelim=AGESUP;    
   hstepm=stepsize*YEARM; /* Every year of age */    prlim=matrix(1,nlstate,1,nlstate);
   hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */    pmmij= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
     oldms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
   /* hstepm=1;   aff par mois*/    newms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
     savms= matrix(1,nlstate+ndeath,1,nlstate+ndeath); /* creation */
   k=0;    oldm=oldms; newm=newms; savm=savms; /* Keeps fixed addresses to free */
   for(cptcov=1;cptcov<=i1;cptcov++){    k=0;
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){    agebase=ageminpar;
       k=k+1;    agelim=agemaxpar;
         fprintf(ficrespij,"\n#****** ");    ftolpl=1.e-10;
         for(j=1;j<=cptcoveff;j++)    i1=cptcoveff;
           fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    if (cptcovn < 1){i1=1;}
         fprintf(ficrespij,"******\n");  
            for(cptcov=1;cptcov<=i1;cptcov++){
         for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */      for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
           nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */          k=k+1;
           nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */          /*printf("cptcov=%d cptcod=%d codtab=%d nbcode=%d\n",cptcov, cptcod,Tcode[cptcode],codtab[cptcod][cptcov]);*/
           fprintf(ficrespl,"\n#******");
           /*      nhstepm=nhstepm*YEARM; aff par mois*/          printf("\n#******");
           fprintf(ficlog,"\n#******");
           p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          for(j=1;j<=cptcoveff;j++) {
           oldm=oldms;savm=savms;            fprintf(ficrespl," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);              printf(" V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           fprintf(ficrespij,"# Age");            fprintf(ficlog," V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
           for(i=1; i<=nlstate;i++)          }
             for(j=1; j<=nlstate+ndeath;j++)          fprintf(ficrespl,"******\n");
               fprintf(ficrespij," %1d-%1d",i,j);          printf("******\n");
           fprintf(ficrespij,"\n");          fprintf(ficlog,"******\n");
            for (h=0; h<=nhstepm; h++){          
             fprintf(ficrespij,"%d %f %f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );          for (age=agebase; age<=agelim; age++){
             for(i=1; i<=nlstate;i++)            prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
               for(j=1; j<=nlstate+ndeath;j++)            fprintf(ficrespl,"%.0f",age );
                 fprintf(ficrespij," %.5f", p3mat[i][j][h]);            for(i=1; i<=nlstate;i++)
             fprintf(ficrespij,"\n");            fprintf(ficrespl," %.5f", prlim[i][i]);
              }            fprintf(ficrespl,"\n");
           free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);          }
           fprintf(ficrespij,"\n");        }
         }      }
     }    fclose(ficrespl);
   }  
     /*------------- h Pij x at various ages ------------*/
   varprob(optionfilefiname, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);    
     strcpy(filerespij,"pij");  strcat(filerespij,fileres);
   fclose(ficrespij);    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;
   /*---------- Forecasting ------------------*/    }
   if((stepm == 1) && (strcmp(model,".")==0)){    printf("Computing pij: result on file '%s' \n", filerespij);
     prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);    fprintf(ficlog,"Computing pij: result on file '%s' \n", filerespij);
     if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);    
   }    stepsize=(int) (stepm+YEARM-1)/YEARM;
   else{    /*if (stepm<=24) stepsize=2;*/
     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);    agelim=AGESUP;
     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);    hstepm=stepsize*YEARM; /* Every year of age */
   }    hstepm=hstepm/stepm; /* Typically 2 years, = 2/6 months = 4 */ 
    
     /* hstepm=1;   aff par mois*/
   /*---------- Health expectancies and variances ------------*/  
     k=0;
   strcpy(filerest,"t");    for(cptcov=1;cptcov<=i1;cptcov++){
   strcat(filerest,fileres);      for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
   if((ficrest=fopen(filerest,"w"))==NULL) {        k=k+1;
     printf("Problem with total LE resultfile: %s\n", filerest);goto end;          fprintf(ficrespij,"\n#****** ");
     fprintf(ficlog,"Problem with total LE resultfile: %s\n", filerest);goto end;          for(j=1;j<=cptcoveff;j++) 
   }            fprintf(ficrespij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
   printf("Computing Total LEs with variances: file '%s' \n", filerest);          fprintf(ficrespij,"******\n");
   fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest);          
           for (agedeb=fage; agedeb>=bage; agedeb--){ /* If stepm=6 months */
             nhstepm=(int) rint((agelim-agedeb)*YEARM/stepm); /* Typically 20 years = 20*12/6=40 */ 
   strcpy(filerese,"e");            nhstepm = nhstepm/hstepm; /* Typically 40/4=10 */
   strcat(filerese,fileres);  
   if((ficreseij=fopen(filerese,"w"))==NULL) {            /*      nhstepm=nhstepm*YEARM; aff par mois*/
     printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);  
     fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);            p3mat=ma3x(1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   }            oldm=oldms;savm=savms;
   printf("Computing Health Expectancies: result on file '%s' \n", filerese);            hpxij(p3mat,nhstepm,agedeb,hstepm,p,nlstate,stepm,oldm,savm, k);  
   fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);            fprintf(ficrespij,"# Age");
             for(i=1; i<=nlstate;i++)
   strcpy(fileresv,"v");              for(j=1; j<=nlstate+ndeath;j++)
   strcat(fileresv,fileres);                fprintf(ficrespij," %1d-%1d",i,j);
   if((ficresvij=fopen(fileresv,"w"))==NULL) {            fprintf(ficrespij,"\n");
     printf("Problem with variance resultfile: %s\n", fileresv);exit(0);             for (h=0; h<=nhstepm; h++){
     fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);              fprintf(ficrespij,"%d %f %f",k,agedeb, agedeb+ h*hstepm/YEARM*stepm );
   }              for(i=1; i<=nlstate;i++)
   printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);                for(j=1; j<=nlstate+ndeath;j++)
   fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);                  fprintf(ficrespij," %.5f", p3mat[i][j][h]);
   calagedate=-1;              fprintf(ficrespij,"\n");
   prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);               }
             free_ma3x(p3mat,1,nlstate+ndeath,1, nlstate+ndeath, 0,nhstepm);
   k=0;            fprintf(ficrespij,"\n");
   for(cptcov=1;cptcov<=i1;cptcov++){          }
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){      }
       k=k+1;    }
       fprintf(ficrest,"\n#****** ");  
       for(j=1;j<=cptcoveff;j++)    varprob(optionfilefiname, matcov, p, delti, nlstate, (int) bage, (int) fage,k,Tvar,nbcode, ncodemax);
         fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);  
       fprintf(ficrest,"******\n");    fclose(ficrespij);
   
       fprintf(ficreseij,"\n#****** ");  
       for(j=1;j<=cptcoveff;j++)    /*---------- Forecasting ------------------*/
         fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);    if((stepm == 1) && (strcmp(model,".")==0)){
       fprintf(ficreseij,"******\n");      prevforecast(fileres, anproj1,mproj1,jproj1, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anproj2,p, i1);
       if (popforecast==1) populforecast(fileres, anpyram,mpyram,jpyram, agemin,agemax, dateprev1, dateprev2,mobilav, agedeb, fage, popforecast, popfile, anpyram1,p, i1);
       fprintf(ficresvij,"\n#****** ");    } 
       for(j=1;j<=cptcoveff;j++)    else{
         fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);      erreur=108;
       fprintf(ficresvij,"******\n");      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);
       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);    
      /*---------- Health expectancies and variances ------------*/
       vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);  
       oldm=oldms;savm=savms;    strcpy(filerest,"t");
       varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0);    strcat(filerest,fileres);
       if(popbased==1){    if((ficrest=fopen(filerest,"w"))==NULL) {
         varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased);      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(ficrest,"#Total LEs with variances: e.. (std) ");    fprintf(ficlog,"Computing Total LEs with variances: file '%s' \n", filerest); 
       for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);  
       fprintf(ficrest,"\n");  
     strcpy(filerese,"e");
       epj=vector(1,nlstate+1);    strcat(filerese,fileres);
       for(age=bage; age <=fage ;age++){    if((ficreseij=fopen(filerese,"w"))==NULL) {
         prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);      printf("Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
         if (popbased==1) {      fprintf(ficlog,"Problem with Health Exp. resultfile: %s\n", filerese); exit(0);
           for(i=1; i<=nlstate;i++)    }
             prlim[i][i]=probs[(int)age][i][k];    printf("Computing Health Expectancies: result on file '%s' \n", filerese);
         }    fprintf(ficlog,"Computing Health Expectancies: result on file '%s' \n", filerese);
          
         fprintf(ficrest," %4.0f",age);    strcpy(fileresv,"v");
         for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){    strcat(fileresv,fileres);
           for(i=1, epj[j]=0.;i <=nlstate;i++) {    if((ficresvij=fopen(fileresv,"w"))==NULL) {
             epj[j] += prlim[i][i]*eij[i][j][(int)age];      printf("Problem with variance resultfile: %s\n", fileresv);exit(0);
             /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/      fprintf(ficlog,"Problem with variance resultfile: %s\n", fileresv);exit(0);
           }    }
           epj[nlstate+1] +=epj[j];    printf("Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
         }    fprintf(ficlog,"Computing Variance-covariance of DFLEs: file '%s' \n", fileresv);
     calagedate=-1;
         for(i=1, vepp=0.;i <=nlstate;i++)    prevalence(ageminpar, agemax, s, agev, nlstate, imx,Tvar,nbcode, ncodemax,mint,anint,dateprev1,dateprev2, calagedate);
           for(j=1;j <=nlstate;j++)    if (mobilav!=0) {
             vepp += vareij[i][j][(int)age];      mobaverage= ma3x(1, AGESUP,1,NCOVMAX, 1,NCOVMAX);
         fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));      if (movingaverage(probs, bage, fage, mobaverage,mobilav)!=0){
         for(j=1;j <=nlstate;j++){        fprintf(ficlog," Error in movingaverage mobilav=%d\n",mobilav);
           fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));        printf(" Error in movingaverage mobilav=%d\n",mobilav);
         }      }
         fprintf(ficrest,"\n");    }
       }  
     }    k=0;
   }    for(cptcov=1;cptcov<=i1;cptcov++){
 free_matrix(mint,1,maxwav,1,n);      for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
     free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);        k=k+1; 
     free_vector(weight,1,n);        fprintf(ficrest,"\n#****** ");
   fclose(ficreseij);        for(j=1;j<=cptcoveff;j++) 
   fclose(ficresvij);          fprintf(ficrest,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
   fclose(ficrest);        fprintf(ficrest,"******\n");
   fclose(ficpar);  
   free_vector(epj,1,nlstate+1);        fprintf(ficreseij,"\n#****** ");
          for(j=1;j<=cptcoveff;j++) 
   /*------- Variance limit prevalence------*/            fprintf(ficreseij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
         fprintf(ficreseij,"******\n");
   strcpy(fileresvpl,"vpl");  
   strcat(fileresvpl,fileres);        fprintf(ficresvij,"\n#****** ");
   if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {        for(j=1;j<=cptcoveff;j++) 
     printf("Problem with variance prev lim resultfile: %s\n", fileresvpl);          fprintf(ficresvij,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
     exit(0);        fprintf(ficresvij,"******\n");
   }  
   printf("Computing Variance-covariance of Prevalence limit: file '%s' \n", fileresvpl);        eij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
         oldm=oldms;savm=savms;
   k=0;        evsij(fileres, eij, p, nlstate, stepm, (int) bage, (int)fage, oldm, savm, k, estepm, delti, matcov);  
   for(cptcov=1;cptcov<=i1;cptcov++){   
     for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){        vareij=ma3x(1,nlstate,1,nlstate,(int) bage, (int) fage);
       k=k+1;        oldm=oldms;savm=savms;
       fprintf(ficresvpl,"\n#****** ");        varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,0, mobilav);
       for(j=1;j<=cptcoveff;j++)        if(popbased==1){
         fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);          varevsij(optionfilefiname, vareij, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k, estepm, cptcov,cptcod,popbased,mobilav);
       fprintf(ficresvpl,"******\n");         }
        
       varpl=matrix(1,nlstate,(int) bage, (int) fage);   
       oldm=oldms;savm=savms;        fprintf(ficrest,"#Total LEs with variances: e.. (std) ");
      varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);        for (i=1;i<=nlstate;i++) fprintf(ficrest,"e.%d (std) ",i);
     }        fprintf(ficrest,"\n");
  }  
         epj=vector(1,nlstate+1);
   fclose(ficresvpl);        for(age=bage; age <=fage ;age++){
           prevalim(prlim, nlstate, p, age, oldm, savm,ftolpl,k);
   /*---------- End : free ----------------*/          if (popbased==1) {
   free_matrix(varpl,1,nlstate,(int) bage, (int)fage);            if(mobilav ==0){
                for(i=1; i<=nlstate;i++)
   free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);                prlim[i][i]=probs[(int)age][i][k];
   free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);            }else{ /* mobilav */ 
                for(i=1; i<=nlstate;i++)
                  prlim[i][i]=mobaverage[(int)age][i][k];
   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);          fprintf(ficrest," %4.0f",age);
            for(j=1, epj[nlstate+1]=0.;j <=nlstate;j++){
   free_matrix(matcov,1,npar,1,npar);            for(i=1, epj[j]=0.;i <=nlstate;i++) {
   free_vector(delti,1,npar);              epj[j] += prlim[i][i]*eij[i][j][(int)age];
   free_matrix(agev,1,maxwav,1,imx);              /*  printf("%lf %lf ", prlim[i][i] ,eij[i][j][(int)age]);*/
   free_ma3x(param,1,nlstate,1, nlstate+ndeath-1,1,ncovmodel);            }
             epj[nlstate+1] +=epj[j];
   fprintf(fichtm,"\n</body>");          }
   fclose(fichtm);  
   fclose(ficgp);          for(i=1, vepp=0.;i <=nlstate;i++)
              for(j=1;j <=nlstate;j++)
               vepp += vareij[i][j][(int)age];
   if(erreur >0){          fprintf(ficrest," %7.3f (%7.3f)", epj[nlstate+1],sqrt(vepp));
     printf("End of Imach with error or warning %d\n",erreur);          for(j=1;j <=nlstate;j++){
     fprintf(ficlog,"End of Imach with error or warning %d\n",erreur);            fprintf(ficrest," %7.3f (%7.3f)", epj[j],sqrt(vareij[j][j][(int)age]));
   }else{          }
    printf("End of Imach\n");          fprintf(ficrest,"\n");
    fprintf(ficlog,"End of Imach\n");        }
   }      }
   printf("See log file on %s\n",filelog);    }
   fclose(ficlog);  free_matrix(mint,1,maxwav,1,n);
   /*  gettimeofday(&end_time, (struct timezone*)0);*/  /* after time */      free_matrix(anint,1,maxwav,1,n); free_imatrix(s,1,maxwav+1,1,n);
        free_vector(weight,1,n);
   /* 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);*/    fclose(ficreseij);
   /*printf("Total time was %d uSec.\n", total_usecs);*/    fclose(ficresvij);
   /*------ End -----------*/    fclose(ficrest);
     fclose(ficpar);
     free_vector(epj,1,nlstate+1);
  end:    
 #ifdef windows    /*------- Variance of stable prevalence------*/   
   /* chdir(pathcd);*/  
 #endif    strcpy(fileresvpl,"vpl");
  /*system("wgnuplot graph.plt");*/    strcat(fileresvpl,fileres);
  /*system("../gp37mgw/wgnuplot graph.plt");*/    if((ficresvpl=fopen(fileresvpl,"w"))==NULL) {
  /*system("cd ../gp37mgw");*/      printf("Problem with variance of stable prevalence  resultfile: %s\n", fileresvpl);
  /* system("..\\gp37mgw\\wgnuplot graph.plt");*/      exit(0);
  strcpy(plotcmd,GNUPLOTPROGRAM);    }
  strcat(plotcmd," ");    printf("Computing Variance-covariance of stable prevalence: file '%s' \n", fileresvpl);
  strcat(plotcmd,optionfilegnuplot);  
  system(plotcmd);    k=0;
     for(cptcov=1;cptcov<=i1;cptcov++){
 #ifdef windows      for(cptcod=1;cptcod<=ncodemax[cptcov];cptcod++){
   while (z[0] != 'q') {        k=k+1;
     /* chdir(path); */        fprintf(ficresvpl,"\n#****** ");
     printf("\nType e to edit output files, g to graph again, c to start again, and q for exiting: ");        for(j=1;j<=cptcoveff;j++) 
     scanf("%s",z);          fprintf(ficresvpl,"V%d=%d ",Tvaraff[j],nbcode[Tvaraff[j]][codtab[k][j]]);
     if (z[0] == 'c') system("./imach");        fprintf(ficresvpl,"******\n");
     else if (z[0] == 'e') system(optionfilehtm);        
     else if (z[0] == 'g') system(plotcmd);        varpl=matrix(1,nlstate,(int) bage, (int) fage);
     else if (z[0] == 'q') exit(0);        oldm=oldms;savm=savms;
   }       varprevlim(fileres, varpl, matcov, p, delti, nlstate, stepm, (int) bage, (int) fage, oldm, savm, prlim, ftolpl,k);
 #endif      }
 }   }
   
     fclose(ficresvpl);
   
     /*---------- End : free ----------------*/
     free_matrix(varpl,1,nlstate,(int) bage, (int)fage);
     
     free_ma3x(vareij,1,nlstate,1,nlstate,(int) bage, (int)fage);
     free_ma3x(eij,1,nlstate,1,nlstate,(int) bage, (int)fage);
     
     
     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(matcov,1,npar,1,npar);
     free_vector(delti,1,npar);
     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);
   
     fprintf(fichtm,"\n</body>");
     fclose(fichtm);
     fclose(ficgp);
     
   
     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 */
   }
   
   

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  Added in v.1.55


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